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**3/3 + 2*c**2. Let w be q(-6). What is the units digit of w/21*(-18)/8?
0
Suppose -37*g - 47*g + 7524804 = 0. What is the thousands digit of g?
9
Let z be 3 + 192/(-176) + (-1)/(-11). Suppose 5*q - 5798 = 2*j, q - 353 = -z*j + 809. What is the hundreds digit of q?
1
Suppose 4*u - 4*h = -24, 13 = 3*h + 1. What is the hundreds digit of (-1 - (-10)/(-1))/(u/74)?
4
Let i be (-2)/(1392/11340 + 2/(-15)). Suppose 5*t + 72 = j, 5*j + t + i = 7*j. What is the units digit of j?
7
What is the thousands digit of 35 - 25 - (-17822 + 9)?
7
Let f(j) = j**3 + 21*j**2 + 17*j - 58. Let z be f(-20). Suppose m + 2*a - 4*a - 199 = 0, z*a + 1003 = 5*m. What is the tens digit of m?
0
Suppose 0 = 16*y - 5598 + 750. Let q(h) = -2*h - 2. Let c be q(-3). Suppose -5*g + l + 429 = 111, y = 5*g + c*l. What is the tens digit of g?
6
Let y(n) = 14*n**2 + 8*n + 7. Let r = 248 + -254. What is the tens digit of y(r)?
6
Let s = 19 + -2. Let r = 21 - s. What is the units digit of (2/(-3) - -1)*(r - -203)?
9
Let l(y) = y**3 - 5*y**2 + y. Let t be l(2). Let a be 270/4*(-8)/t. What is the units digit of a/15 - (-2)/(-30)*9?
3
Let u = -1644 - -3291. Let s = u - 770. What is the hundreds digit of s?
8
Let m = 133 + -126. Suppose m*i = 1496 - 131. What is the tens digit of i?
9
Let f = -167 + 182. Suppose f*k - 23*k = -1944. What is the units digit of k?
3
Let w(l) = l**2 + 6*l + 5. Let c be w(-5). Suppose 5*y + 5 + c = 3*v, 4*v = -4*y - 4. What is the units digit of 74/y*(-11)/11?
4
Let l(a) = -42*a**2 - 34*a + 39. Let q be l(30). What is the hundreds digit of (-5)/(-25) + q/(-45)?
8
Suppose 5*l = l - 100. Let t = l - -7. What is the tens digit of (t*9/24)/(2/(-32))?
0
Suppose 4*m + 6615 = -5*c, 409 = 3*m + 3*c + 5374. Let o(p) = p**2 + 14*p + 12. Let g be o(-13). What is the hundreds digit of m/(-16) - (15/(-12) - g)?
1
Suppose 0 = -6*v + 8*v - 248. Suppose -4*p - v = -4*r, 0*r + r + 5*p = 7. Suppose z + r = 2*u - 33, 5*u - 172 = -3*z. What is the tens digit of u?
3
Suppose -166*s + 684003 + 16019 = 0. What is the thousands digit of s?
4
Let p = 29663 - -3236. What is the ten thousands digit of p?
3
Let g = 24 + -30. Let x be (g/(-4))/((-63)/(-420)). What is the tens digit of ((-126)/4)/(-9)*x?
3
Let f(n) = -23*n - 65. Let j be (-2)/(-8) - 135/12. What is the tens digit of f(j)?
8
Let k = 10136 - 10065. Let g(x) = 454*x - 3. Let w be g(2). Suppose 0 = 8*n - k - w. What is the units digit of n?
2
Let n(h) = 307*h + 4. Let a be 5/3 - 2/3. What is the hundreds digit of n(a)?
3
Suppose -12*l + 150180 = 3*l. What is the thousands digit of l?
0
Let y = 487 + -472. Suppose 5*s + y*s = 100. What is the units digit of s?
5
Let g = 55788 + -3226. What is the units digit of g?
2
Let z = -17879 - -30242. What is the units digit of z?
3
Let y = 35 - 51. Let z be 46/16 - y/128. Suppose -p - z*c = -5*c - 100, 2*c = -10. What is the tens digit of p?
9
Let y(r) = 2370*r + 15546. What is the units digit of y(20)?
6
Suppose -59*m - 1578200 = -47*m - 37*m. What is the ten thousands digit of m?
6
Let c(j) = -j**3 - 3*j**2 - j. Let w be c(-3). Let a(t) = -16*t + 7. Let f(k) = -16*k + 8. Let y(o) = -7*a(o) + 6*f(o). What is the tens digit of y(w)?
4
Let p(w) = 3242*w - 101. What is the thousands digit of p(2)?
6
Suppose 53*b - 55*b - 134 = 0. Let w = 162 - b. What is the tens digit of w?
2
Let f be (-4)/7 - 22/(-14) - -3. Suppose 0 = f*s + s - 25. Let a(m) = 3*m**2 + 3*m + 21. What is the tens digit of a(s)?
1
Let d = 196 + -198. What is the hundreds digit of (15/(-45))/(d/6) + 126?
1
Let c = 364 - 359. Suppose c*s - n - 1676 = 0, 3*s - 1024 = -8*n + 4*n. What is the tens digit of s?
3
Let y(r) be the second derivative of -1/20*r**5 + 2/3*r**3 + 16*r + 25/2*r**2 + 0 + 7/6*r**4. What is the units digit of y(14)?
1
Let k(z) = z**2 - 20*z - 8. Let b(u) = -2*u + 1. Let q(s) = 3*b(s) - k(s). Suppose -6*m = -3*m - 39. What is the units digit of q(m)?
4
Let y(z) = 3*z**2 + 14*z + 10. Let h be y(-5). Let j be ((-20)/(-3))/(5/h). Suppose -4*t = -t - 5*m - 280, 5*m = j. What is the units digit of t?
0
Let q(j) = 58*j**2 + 45. Let t be q(6). Let v = t - 1152. What is the units digit of v?
1
Let g(h) = h**3 - 9*h**2 - 5*h + 5. Let z be g(13). Suppose -8*r = 496 + z. Let s = 140 - r. What is the hundreds digit of s?
2
What is the hundreds digit of 0 + 15893 + (-33)/((-462)/(-28))?
8
Suppose -186596 = -21*y + 221644. What is the hundreds digit of y?
4
Suppose s + 3*m = -658 - 822, 2944 = -2*s + 2*m. What is the tens digit of s/(-4) + 36/(-24)?
6
Suppose -4*m - 14 = 10. Let q(r) = -5*r**3 + 8*r**2 - 5*r - 6. Let t be q(m). Suppose z - t = -7*z. What is the tens digit of z?
7
Let a = -250 - -250. Suppose -25*w + 6934 + 12466 = a. What is the units digit of w?
6
Suppose 0 = -k - 2520 + 9631. What is the hundreds digit of k?
1
What is the tens digit of 6/(((-28)/(-10) - (-2)/10)/5669)?
3
Let d = -135 + 160. Suppose 945 = t - 3*w, -d*w - 946 = -t - 21*w. What is the hundreds digit of t?
9
Suppose 0 = 3*o - 11 + 14. Let d be -1*(-4)/(2 + o). Suppose -147 = -d*q - 31. What is the units digit of q?
9
Suppose -5*m = -m - 108. Suppose m - 7 = 4*k. Suppose 649 + 396 = k*g - 5*w, 3*w - 6 = 0. What is the hundreds digit of g?
2
Let w = -51 + 117. Let m = w + -124. Let i = 268 + m. What is the tens digit of i?
1
Suppose 10 = 32*z - 30*z. Let g(o) = 2*o**2 + 9*o - 11. What is the tens digit of g(z)?
8
Suppose 0*r + 4*r = 0. Suppose r = 3*n + 4 - 10, 0 = -4*x + 2*n + 308. Suppose -76*f - 36 = -x*f. What is the units digit of f?
8
Suppose 5*c - 27 = -57. Let o be (216/(-4))/c*(1 + -2). What is the units digit of (12/o)/(-3 + (-321)/(-108))?
8
Suppose 2*x - q = 14431, -5*x - q + 3763 + 32332 = 0. What is the tens digit of x?
1
Let d = 83 + -81. What is the units digit of (62 - 2)/(-5)*-41 - d?
0
Let l(a) = 93*a**3 + 2*a**2 + a - 1. Suppose 20*n - 10 - 30 = 0. What is the hundreds digit of l(n)?
7
Let k(n) = n**3 + 13*n**2 + 11*n + 6. Let g(s) = -20*s - 10. Let y be g(0). What is the hundreds digit of k(y)?
1
Suppose -24*s - 72*s + 2383200 = 0. What is the ten thousands digit of s?
2
Let c(q) = 31*q**2 - 4*q + 2617. What is the tens digit of c(0)?
1
Suppose 11*l - 8*l + 699 = 0. Let m = 250 - l. What is the tens digit of m?
8
Let s = 3590 + -2335. What is the units digit of s?
5
Let i = 1105 + -585. Suppose -4*n = u - i, -n = 4*n - 2*u - 637. What is the units digit of n?
9
Let g = 62 + -80. Let j(n) = n**2 + 34*n + 14. Let i be j(g). Let q = 391 + i. What is the hundreds digit of q?
1
What is the thousands digit of 28/(-3)*(1 - 527 - (-19)/(-38))?
4
Let a(w) = w**3 - 11*w**2 + 14*w - 40. Let d be a(10). Suppose -210*u + 212*u - 1774 = d. What is the units digit of u?
7
Let b = -85053 - -138271. What is the hundreds digit of b?
2
Let j(q) = 2*q**3 - 25*q**2 - 13*q + 10. Let x be j(13). Suppose 50 = 4*p + x. What is the tens digit of (3*296/48)/(1/p)?
8
What is the ten thousands digit of (77538/(-45))/(202/(-1515))?
1
Suppose -5*b = 2*i - 164, -4*i = 2*b - 5*i - 71. Let j = b + -46. What is the units digit of 10*7/((-14)/j)?
0
Let l(t) be the first derivative of 37*t**4/4 + 2*t**3/3 + 9*t**2/2 - 16*t + 57. What is the hundreds digit of l(2)?
3
Let j(b) = 3252*b - 2418. What is the ten thousands digit of j(5)?
1
Suppose 257*n + 46*n - 22073550 = 0. What is the tens digit of n?
5
Let z(k) = 10*k**2 + 30*k - 128. What is the units digit of z(15)?
2
Let n be 114/266 + -3056*114/(-14). Suppose 7*f - n = -14*f. What is the tens digit of f?
8
Let v(o) = -31*o**3 + 3*o**2 - 8*o - 25. What is the hundreds digit of v(-5)?
9
Let x be ((0 - -10) + -11)*0. Let i be (3 - 1) + 1 + -1. Suppose x*l - i*l = -20. What is the units digit of l?
0
Suppose 22*p = 20*p + 3*j + 4, 4*j = -3*p - 11. What is the units digit of (p - -7) + 3*25?
1
Suppose 4*a + 4499 = 6*a - 3*f, -4*f - 4494 = -2*a. What is the tens digit of a?
5
Suppose -8*r + 17762 + 92362 = -79156. What is the units digit of r?
0
Let q be (13 + -13)/(-1*1*-2). Suppose 5*g - 6*g + 7 = q. Suppose g*b - 2*b + 346 = 4*t, -2*t + 2*b + 174 = 0. What is the tens digit of t?
8
Let w = -225 - -222. Let n(a) = -129*a - 7. What is the hundreds digit of n(w)?
3
Let z(t) = -19*t**3 + 2*t**2 + 15*t + 34. Let x be z(-4). Let f = x - 588. What is the hundreds digit of f?
6
Let j = -129 - 7. Let x = 624 + j. Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
02/119)
Simplify (g*g**0)**(2/11)/(g*g*g*g/(g/(g/g**(-3)))*g**(-3))*(g**0/g*g/(g/(g**11/g*g)))**(-3/16) assuming g is positive.
g**(-501/88)
Simplify (f/f**(1/46))**(-2/3)/((f/f**(-4/9)*f)/f**(-4/5)) assuming f is positive.
f**(-4033/1035)
Simplify g/g**(1/13)*(g*(g**(-7)*g)/g)/g*g*g/(g/(g/g**(1/9)))*g**(-1/5)*(g/(g**9/g*g)*g**(1/7))**42 assuming g is positive.
g**(-195617/585)
Simplify (((u**(-2/3)/u)/u)/u**(-1/6))**26/(u**(-3/2)*u**4)**(20/13) assuming u is positive.
u**(-895/13)
Simplify ((g/(g/(g**(-10)*g*g)*g)*g/((g**18/g)/g))/((g/(((g*g**13)/g*g*g)/g*g))/g**5))**(-7/2) assuming g is positive.
g**(35/2)
Simplify ((l**0)**(1/8))**(2/9)*((l/(l*l/l**1*l*l))**(-19))**19 assuming l is positive.
l**722
Simplify (r**(-7/4)*r*r**14)/(r**(5/8)*r*r**16*r) assuming r is positive.
r**(-43/8)
Simplify (((k**(-2)/k)/(k*k/(k/(k*k/k**(-5)))))/(k*k**0*k**(-6)*k))/((k/(k*k/(k/(((((k/k**3)/k)/k)/k)/k)*k)))/(k**(-2/17)/k))**23 assuming k is positive.
k**(-3293/17)
Simplify (((g**(-6/13)/g*g)/g)/(g/(g/(g**(-24)/g)))*(g*g*g**(-18))**(2/5))**15 assuming g is positive.
g**(3342/13)
Simplify (((y**(-5)*y)/(y/(y/y**(5/4))))/(y**(-1/3))**46)/((y**(-3/2)*y**(2/13))/(y**(2/5))**(-1/26)) assuming y is positive.
y**(8903/780)
Simplify ((y**(-1))**(2/15)*(y**(-1))**(8/7))/((y**(-1))**(8/13)*(y*y*((y**(-2/3)*y)/y)/y)**46) assuming y is positive.
y**(-21832/1365)
Simplify ((p/p**5)/p**(-4)*p**(-1)/(p**(1/5)*p))/((p*p**(3/2))/p**(1/10))**11 assuming p is positive.
p**(-143/5)
Simplify (i**1/i)/i*(((((i**(2/3)/i)/i)/i)/i)/i)/i*i**(3/5)/i**(-1/11)*((i**(2/3)*i)/i*i*(i*i/(i*i**(1/10)*i)*i)/i)**(1/20) assuming i is positive.
i**(-12241/2200)
Simplify ((z**(-5)/z**(2/21))/(z**1*z*z)**(-38))/((z*z**(2/9))/z**6)**23 assuming z is positive.
z**(13784/63)
Simplify (b/(b*b*b*b/b**(5/3)*b)*b**(-2))/(b**(-1)/b)**(-6)*b/b**(-6)*b*b**(2/5)*(b**(1/2))**(12/11) assuming b is positive.
b**(-1219/165)
Simplify ((v/(v*v/v**(-3/2)))/(v**7*v)*(v*v/(v/(v*v**(-2/5))))**0)/((v/v**(-1))**7*(((v*v**(-7/5))/v)/v)/v*v/v**(1/4)) assuming v is positive.
v**(-437/20)
Simplify (j*j**1)**(-1/32)/(j**1/j)**(-2/69)*((j**1)**(-20))**(4/7) assuming j is positive.
j**(-1287/112)
Simplify ((j*j**(-1))/j**3)**18/((j/(j**7*j))/(j*j/(j**6/j))*j**(4/11)*j*j**(-1/6)*j) assuming j is positive.
j**(-3445/66)
Simplify ((w/w**(-1/18))/((w*w*w*w**(-22))/w*w))/(w/((w*w**(1/14))/w)*w*w)**35 assuming w is positive.
w**(-742/9)
Simplify ((l**(2/17)*l/l**(9/5))/(l**4/(l/(l**15*l)*l)))**35 assuming l is positive.
l**(-11116/17)
Simplify (((u**(1/4)/u*u*u**(-4/5))/(u**8/(u/u**(1/9))))**(-8/3))**(-49) assuming u is positive.
u**(-135142/135)
Simplify ((((d*d**0)/d)/d)**(-2/11)/(((d*d**(-1)/d)/d)/d**(1/2)))/(d**8/(d*d**1)*(d*d*d/((d*d*d**(1/5)*d)/d))/d**(-2)) assuming d is positive.
d**(-673/110)
Simplify (j**(-1/4)/j)/j**(2/11)*(j**1*j)**(-48)*(j**(-2/13)*j)/(j*j**(-2))*(j/(j/(j*j**(-1/10))*j))/((j/(j/(j/(j/(j/j**(2/5))))*j))/j) assuming j is positive.
j**(-269657/2860)
Simplify ((m**(3/4)/m)/(m**25/m)*m*m**9*(m**(1/16)/m)/m)**43 assuming m is positive.
m**(-11137/16)
Simplify ((((m/(m/(m/(m/m**(7/5)*m)*m)*m))/((m*m**(-1/6))/m))**(-3))**(7/13))**(12/5) assuming m is positive.
m**(-714/325)
Simplify ((((j*(j/(j/(j/j**(2/5))*j))/j)/j)**(-2/51)*(j*j*j/(j*j**(-11)))/(j/(j**(9/4)/j)))**(-3))**7 assuming j is positive.
j**(-94997/340)
Simplify (((w**(9/5)*w)/(w**(-20/3)*w))/((w**(2/9)/w)/(w/(w/w**(-8)))))**(-2) assuming w is positive.
w**(-112/45)
Simplify (t**(-1/12)/t**(5/4))**39*(t/(t**(-1/8)*t)*t**(2/19))**(2/17) assuming t is positive.
t**(-67149/1292)
Simplify (((r*r/((r**0/r*r)/r))/r)**41)**43*(r**(-3/8)*r/(r**(3/2)/r))/(r**(-2/3)*r*r/r**(-4)) assuming r is positive.
r**(84499/24)
Simplify ((o*o/(o**(1/4)/o)*o)**(-18/11)*o/(o*o*o**(-1)*o)*o**(-3/7))**(-47/3) assuming o is positive.
o**(54755/462)
Simplify (l**(-19)/(l/l**38))/((l*l/l**(-41))/(l*(l/l**(-21/4))/l)) assuming l is positive.
l**(-75/4)
Simplify ((k*k/(k/(k/k**(-1/15))*k))/k*k**(-13)*k)**(-50)/((k*k**3)**(1/5))**(-16) assuming k is positive.
k**(9142/15)
Simplify (((f*f**(-1/48))/(f*f*f**(-29)*f))/(f/(f/(f*(f/f**(-37))/f))*f*f**8))**13 assuming f is positive.
f**(-12493/48)
Simplify (n**(-1/5)*n*(n*n*n*n**(-1/9)*n)/n)**(-6)*(n/(n*n*n*n*n/n**(-1/5)*n*n)*n*n**3)/(n**(-2/7))**(1/56) assuming n is positive.
n**(-14305/588)
Simplify ((z**(-1/3))**(-2/11)*z**(1/3)*(z/(z*(z**1*z)/z))/z)/((z/(z**(-4)*z))/(z*z*((z**(-5)/z)/z*z)/z*z))**(-3/7) assuming z is positive.
z**(421/231)
Simplify ((((s**(-8))**(-26))**(-40))**39)**(6/5) assuming s is positive.
s**(-389376)
Simplify ((b/(b*b*b*b**(1/17)*b)*b)/b**14*b**(-29)*(b**(-5)*b)/b)**(-47) assuming b is positive.
b**(39997/17)
Simplify (a/(a/(a/a**(3/2))*a*a)*a**(-12))**(-17)*(a**(10/9)*a/a**(-14)*a)**30 assuming a is positive.
a**(4559/6)
Simplify d**21*d*d/d**11*d/(d*d**31)*d**(-29/5) assuming d is positive.
d**(-124/5)
Simplify (((x/(x**(-28)/x*x))/x)/x*x**(-1))/((x**(-1/11)/x)/x**(-28)) assuming x is positive.
x**(-10/11)
Simplify ((y**(-8)/y)/(y*y*y**(-37)*y)*y/(((y**(-23)*y*y)/y*y)/y)*y*y**(-23/4))**(-4/19) assuming y is positive.
y**(-173/19)
Simplify (x**6*x**(-1/9))**(-1/6)/((x/x**(-2/9)*x)/((x/(x**(-7)/x))/x)*(x*x**1)/(x/(x**3/x))) assuming x is positive.
x**(97/54)
Simplify (((d**5/d)/((d/(d/(d/d**(-3))*d)*d)/d))/(d/((d**(1/2)/d)/d))**35)/((d**(-4/7)*d)/(d*d/(d/d**(5/3))*d))**(3/22) assuming d is positive.
d**(-13253/154)
Simplify ((p/p**12)/(p*p*(p*p**0)/p))**(-2/165)*(p**(-2/19)/(p*p**(-2/3)*p*p))**(7/4) assuming p is positive.
p**(-51539/12540)
Simplify ((((((b*b**(-1/12)*b)/b)/b)/b)/(b**(-23)*b))**24)**(1/87) assuming b is positive.
b**(502/87)
Simplify ((t**(3/5))**(-38))**18/(t**(-9/7)*t*t*t*t**(-3/10)*t)**(-38/7) assuming t is positive.
t**(-97337/245)
Simplify ((x/x**6)/(x/(x/(x*x**6)))*(x/(x*x**(-3/5)))**(-2/133))**(-1/19) assuming x is positive.
x**(7986/12635)
Simplify (b**(11/5))**(-3/2)/((b*b/(b*b/(b/b**(6/19)))*b)/b)**(-4) assuming b is positive.
b**(-107/190)
Simplify ((y**(-10)*y)/y**(-32))/(y**(-26)/y**(-1/43)) assuming y is positive.
y**(2106/43)
Simplify (q**2/q*q*q*q*q*q/q**(-2/9))/(q/(q**(1/2)*q)*q**(1/4)/q*q)*(q**(1/4)/(q/q**(3/4)))/(q*q**7*q*q**(-1/2)) assuming q is positive.
q**(-73/36)
Simplify ((x**7*x*x)/x**(-4)*x**(-2/7)/(x*x**(-2/17)))/(((((x*x**(1/8))/x)/x)/((((x*x**(3/5)*x)/x)/x)/x))/(x**(-1/3)*x)**13) assuming x is positive.
x**(299503/14280)
Simplify (z**(1/7)/(z**0*z)*z**(-6)*z/(z*z**6*z*z))/((z*z*z**(-2/9)*z)**(-6/5))**24 assuming z is positive.
z**(456/7)
Simplify (((l/l**(-11)*l*l**(-6/17)*l)**(-42))**(2/31))**(1/5) assuming l is positive.
l**(-19488/2635)
Simplify (l**(-2/11)*l**4)**(-1/3)/(((l**6*l)/l**(-2/17))/(l**(-2/5))**(-6)) assuming l is positive.
l**(-5601/935)
Simplify ((v*v*v**(-34))/v**(-2/35))/(v**(-18/5)*v**(-2/7)) assuming v is positive.
v**(-982/35)
Simplify ((w**4*((w**(-7)*w)/w)/w)/(w**(2/5))**(4/13))/(((w*w*w*w**(-4/11)/w)/w)/(w/w**(-2/21)))**(-17/4) assuming w is positive.
w**(-182381/30030)
Simplify ((z/(z**(2/9)/z)*(z**(-3)*z*z)/z*z)/(z**(2/11)/(z**(1/4)/z)))/((z*z*z/(z/z**(-1)))**(5/16)/(z**1/z)**(14/9)) assuming z is positive.
z**(-739/1584)
Simplify (((l/(l*l*(l*l**(3/8))/l)*l**(-2)*l)/(l/(l*l*l**(1/2)))**36)**24)**(3/46) assuming l is positive.
l**(3717/46)
Simplify (w**(-3/7)*((w*w**(-6))/w)/w*(w*w**0)**(-28))/((w**0/w**(-7))/(w*(w**6*w)/w*(w*w**(1/3))/w)) assuming w is positive.
w**(-737/21)
Simplify (p**(-1)*p**(1/5)/p)/(p/(p*p**(1/3)*p)*p*p/p**3)*(p/p**(-2/5))**13/((p/(p*p**1/p))/p)**(-3/4) assuming p is positive.
p**(1079/60)
Simplify ((h*h**(-17)*h*h*h/(h*h*h**(-9))*h*h)/((h*h**1)/h)**(-1))**(-12/11) assuming h is positive.
h**(36/11)
Simplify (z**(-1/7)*z/(z**16/z))/((z/(z/z**(-2/7)))/(z/(z/z**(-26)))) assuming z is positive.
z**(-279/7)
Simplify (n**(-2/7)/n)/n**27*n**26*n**(-8) assuming n is positive.
n**(-72/7)
Simplify ((((p*p**0/p)**(2/49))**50)**(-11/6))**(13/4) assuming p is positive.
1
Simplify (t*t**0)**(2/81)*(t**(2/5))**(4/21)*((t/(t*t/((t*t**(2/5)*t)/t)*t))**(1/30))**(-18) assuming t is positive.
t**(6533/14175)
Simplify ((b**(2/3))**(-5/18)*(b*b/(b*b/(((b*b**(-1/3))/b)/b))*b)/b**4)/((b*b**(-2))**33)**(9/4) assuming b is positive.
b**(7531/108)
Simplify (a**(-2/19)/(((a*a**(4/3)*a*a)/a)/a*a*a))**(-5)*(a/(a**(-2/9)*a)*a*a**3)**(-5) ass
|
{
"pile_set_name": "DM Mathematics"
}
|
309 microseconds to days.
0.0000000025504896875
How many years are there in 0.4385468 centuries?
43.85468
How many litres are there in 8350.346 millilitres?
8.350346
What is 8/25 of a micrometer in nanometers?
320
What is three tenths of a centimeter in micrometers?
3000
What is 0.8727211t in milligrams?
872721100
How many micrograms are there in nineteen quarters of a milligram?
4750
Convert 1175.3949 months to years.
97.949575
What is 7/25 of a millennium in decades?
28
What is 7191.703 weeks in days?
50341.921
How many nanometers are there in 0.4631693 micrometers?
463.1693
What is 286.8548 tonnes in nanograms?
286854800000000000
How many months are there in 583612.8 decades?
70033536
How many milligrams are there in 21/2 of a gram?
10500
How many millilitres are there in three eighths of a litre?
375
What is 23.82571ml in litres?
0.02382571
How many minutes are there in 11/4 of a week?
27720
How many grams are there in 312256.1 milligrams?
312.2561
What is 3/25 of a tonne in kilograms?
120
What is 99178.5 days in nanoseconds?
8569022400000000000
How many micrometers are there in 3/32 of a meter?
93750
What is 1/4 of a gram in milligrams?
250
Convert 948356.829us to weeks.
0.0000015680503125
How many millilitres are there in ninety-nine quarters of a litre?
24750
How many millilitres are there in sixty-one halves of a litre?
30500
What is 11/8 of a milligram in micrograms?
1375
Convert 3884.41368 minutes to weeks.
0.3853585
Convert 965602.8 years to centuries.
9656.028
What is 22.19728 decades in years?
221.9728
How many micrometers are there in twenty-six fifths of a centimeter?
52000
What is six fifths of a microgram in nanograms?
1200
How many millilitres are there in thirteen eighths of a litre?
1625
What is thirty-two fifths of a litre in millilitres?
6400
What is one fifth of a millennium in decades?
20
Convert 0.9296736 millennia to years.
929.6736
What is 0.3361545 kilometers in centimeters?
33615.45
How many micrograms are there in one fifth of a milligram?
200
What is 6818.112 kilometers in micrometers?
6818112000000
How many millilitres are there in three tenths of a litre?
300
What is three fifths of a second in milliseconds?
600
What is 5086.486t in micrograms?
5086486000000000
How many milliseconds are there in 15/4 of a second?
3750
Convert 69376.57l to millilitres.
69376570
What is 7339.089 kilometers in millimeters?
7339089000
What is 6.134015 years in millennia?
0.006134015
What is two fifteenths of a week in seconds?
80640
What is 259426.017ns in days?
0.0000000030026159375
How many kilograms are there in 8.226956 grams?
0.008226956
How many millilitres are there in 904211.6l?
904211600
How many millilitres are there in 751.7831l?
751783.1
What is thirty-two fifths of a week in minutes?
64512
How many millilitres are there in 29/2 of a litre?
14500
What is 7/8 of a kilogram in grams?
875
What is 767273.58 milliseconds in days?
0.00888048125
What is fifty-four fifths of a meter in centimeters?
1080
How many micrometers are there in 7/8 of a millimeter?
875
How many weeks are there in 10258.88976ms?
0.00001696245
How many micrometers are there in 11/2 of a millimeter?
5500
Convert 223.477 seconds to milliseconds.
223477
How many minutes are there in 1/9 of a day?
160
What is 7/6 of a century in months?
1400
How many millilitres are there in three eighths of a litre?
375
How many days are there in 22240.7721ns?
0.00000000025741634375
What is 11/10 of a micrometer in nanometers?
1100
Convert 92085.01 millilitres to litres.
92.08501
How many millilitres are there in 6618.827 litres?
6618827
Convert 167.97312 months to centuries.
0.1399776
How many millilitres are there in 33.55738 litres?
33557.38
What is 4/7 of a week in hours?
96
What is 27705.43 litres in millilitres?
27705430
Convert 905.4672 millilitres to litres.
0.9054672
What is seventeen halves of a kilogram in grams?
8500
What is 69/2 of a millennium in decades?
3450
How many nanoseconds are there in 53/5 of a microsecond?
10600
What is 266.7282 tonnes in nanograms?
266728200000000000
Convert 1699.0494s to minutes.
28.31749
How many meters are there in 708568.8 micrometers?
0.7085688
How many centuries are there in 1498.2333 months?
1.24852775
How many months are there in 11/8 of a century?
1650
Convert 1.2105171 months to years.
0.100876425
How many microseconds are there in 7694.031 nanoseconds?
7.694031
How many micrometers are there in 1/20 of a meter?
50000
How many milligrams are there in three eighths of a gram?
375
How many kilograms are there in 44/5 of a tonne?
8800
Convert 7.797405cm to meters.
0.07797405
What is 4/7 of a week in hours?
96
How many grams are there in seven quarters of a kilogram?
1750
What is 3/5 of a centimeter in micrometers?
6000
Convert 42.40934 micrometers to kilometers.
0.00000004240934
How many millimeters are there in 1/5 of a centimeter?
2
What is 59.66632 meters in micrometers?
59666320
What is 6/5 of a decade in years?
12
What is 1/10 of a micrometer in nanometers?
100
What is 3/25 of a kilometer in meters?
120
How many millilitres are there in 215.6066l?
215606.6
How many centimeters are there in 57.87034um?
0.005787034
Convert 2275.574cm to kilometers.
0.02275574
What is thirteen quarters of a week in hours?
546
What is three eighths of a gram in milligrams?
375
How many minutes are there in 1.3405335ms?
0.000022342225
How many milligrams are there in 2393.544t?
2393544000000
What is one twentieth of a century in months?
60
How many centimeters are there in 436.5508 nanometers?
0.00004365508
How many months are there in seven eighths of a century?
1050
What is 3/10 of a millennium in decades?
30
What is 19/4 of a week in minutes?
47880
How many millilitres are there in five quarters of a litre?
1250
What is 377.372l in millilitres?
377372
What is 222.108 days in hours?
5330.592
Convert 21805.641 milliseconds to hours.
0.0060571225
Convert 879641.9 millennia to months.
10555702800
What is 4277.12 litres in millilitres?
4277120
How many millimeters are there in 32814.42 micrometers?
32.81442
How many centimeters are there in 21/2 of a meter?
1050
How many microseconds are there in 0.5137853ms?
513.7853
How many milliseconds are there in three sixteenths of a minute?
11250
How many seconds are there in five sixths of a minute?
50
Convert 78034.09 decades to years.
780340.9
How many micrometers are there in 1/4 of a millimeter?
250
Convert 2175694.8 months to decades.
18130.79
How many milligrams are there in 1/10 of a gram?
100
What is 0.915847ml in litres?
0.000915847
Convert 16567.719 months to years.
1380.64325
How many seconds are there in 5/8 of a day?
54000
How many micrograms are there in 41.93677 tonnes?
41936770000000
How many seconds are there in 1/10 of a hour?
360
What is 419422.5 months in millennia?
34.951875
How many centuries are there in seven halves of a millennium?
35
What is twenty-six fifths of a microgram in nanograms?
5200
How many seconds are there in three fifths of a day?
51840
How many days are there in 7393.221 microseconds?
0.0000000855696875
What is 7/4 of a meter in millimeters?
1750
How many millennia are there in 13.041 centuries?
1.3041
What is nineteen quarters of a day in hours?
114
What is eight thirds of a century in months?
3200
How many days are there in 30/7 of a week?
30
What is 5/4 of a year in months?
15
How many millilitres are there in seven eighths of a litre?
875
How many decades are there in 3/5 of a millennium?
60
What is 1/80 of a kilometer in centimeters?
1250
What is 81/2 of a micrometer in nanometers?
40500
How many milliseconds are there in 9/10 of a minute?
54000
How many years are there in 6333.66 decades?
63336.6
What is 71.83668km in micrometers?
71836680000
What is 5/24 of a decade in months?
25
What is 6/5 of a minute in seconds?
72
How many milliseconds are there in one quarter of a minute?
15000
How many micrograms are there in 0.3266687 grams?
326668.7
Convert 58047.4944ns to weeks.
0.000000000095978
What is 5/6 of a day in hours?
20
Convert 70640.32 micrograms to milligrams.
70.64032
Convert 0.2764044l to millilitres.
276.4044
Convert 4.267626um to meters.
0.000004267626
What is one sixteenth of a second in microseconds?
62500
What is twenty-five halves of a ce
|
{
"pile_set_name": "DM Mathematics"
}
|
sqrt(12)))**2 - sqrt(28)) + sqrt(252)*-2*4 + ((sqrt(252) + 0 + sqrt(252) + sqrt(252))*2 - sqrt(252))**2)*-6.
-264792/7 + 300*sqrt(7)
Simplify ((sqrt(162)/sqrt(3))/sqrt(6) + (sqrt(9) - -1*sqrt(1089)))/((sqrt(33)*-3*3)/(sqrt(11) + -3*sqrt(891))).
338*sqrt(3)/9
Simplify 1*((sqrt(320) - sqrt(320)*1) + 2) + (2*sqrt(1000))/((sqrt(22) - sqrt(22)*-2)/sqrt(11) + sqrt(2)).
2 + 5*sqrt(5)
Simplify -4*(((sqrt(243) + 1)*-6*-4)**2 - (0 + (sqrt(12)/sqrt(4)*-6)**2 + -4)).
-561760 - 41472*sqrt(3)
Simplify (sqrt(6050)*2*-2 + 2*-1*sqrt(6050) + (sqrt(6050) + sqrt(6050) + -2*sqrt(6050) + 1)*3 + -2)**2.
-660*sqrt(2) + 217801
Simplify 2*((4 + 2*-1*sqrt(98) - (-4*(sqrt(98) - sqrt(98)*-2) + -2))**2 + -1).
1680*sqrt(2) + 19670
Simplify 1*(sqrt(84) + (2*(1*sqrt(84) - sqrt(84)) - sqrt(84)) + sqrt(84))/(-2*sqrt(12)*2 + sqrt(12)) - ((sqrt(567) + 2)**2 - (-2 + sqrt(1008)))*-4.
287*sqrt(7)/3 + 2292
Simplify ((4*(-1*sqrt(972) + sqrt(972)) - sqrt(972)) + sqrt(972)*1*1)/((sqrt(5103) - sqrt(5103)*-2)/(sqrt(1008) + sqrt(7))).
0
Simplify ((0 + (2 + sqrt(700)*1)*-3 + 1 + 1*sqrt(700)*1*5)*6)**2.
-7200*sqrt(7) + 101700
Simplify (((6*sqrt(931) + 5)*-5)**2 - (sqrt(931)*3 + -1 - (5 + sqrt(931)*2))) + -4.
10493*sqrt(19) + 838527
Simplify -6*(5 + (sqrt(128) - 2*sqrt(128)) + sqrt(128) + 2 + sqrt(128) + -5 - (sqrt(128) + (0 + sqrt(128))*4 + (sqrt(128) - (0 + sqrt(128)))*-2))**2.
-12312 + 768*sqrt(2)
Simplify (-4 + (1*5*sqrt(700)*-3 + -1)*-3)**2.
-900*sqrt(7) + 1417501
Simplify ((4*(-1*sqrt(14) + sqrt(14)))/(sqrt(2) - (sqrt(200) - 2*sqrt(200))) - -4*(-5 + sqrt(21)/sqrt(3) + sqrt(7) - sqrt(21)/sqrt(3)*4))**2.
320*sqrt(7) + 848
Simplify (3 + (5*(4 + 3 + sqrt(1216)) + (4*(sqrt(1216) + 4) - sqrt(1216))*-3)*-6)**2.
31104*sqrt(19) + 706977
Simplify (sqrt(91)/sqrt(63)*-5 + -6*(sqrt(1872) + sqrt(1872) + sqrt(1872) + -1) - (0 + (sqrt(1872) + -2 + 2*sqrt(1872))*3))**2.
-7816*sqrt(13) + 12410173/9
Simplify (2*sqrt(162) + 1 + 4 + ((sqrt(162) + 0)*1 + sqrt(162) - (0 + sqrt(162) + -2)))**2*-3.
-4521 - 1134*sqrt(2)
Simplify ((-2*((sqrt(228)*-3 + sqrt(228))*4 + sqrt(228)))/(sqrt(36)/(sqrt(30)/sqrt(10)*6)))**2.
134064
Simplify (1*(2*sqrt(91) - sqrt(91) - sqrt(91))*-6*1)/(5*sqrt(35)/sqrt(5) + sqrt(7) + -2*sqrt(7)*-2).
0
Simplify (sqrt(1800) - 1*sqrt(1800)*6 - 5*(sqrt(1800)*2 + sqrt(1800)))/(sqrt(54)/sqrt(6)*-4 + sqrt(54)/sqrt(54)).
600*sqrt(2)/11
Simplify ((2*sqrt(360))/sqrt(12))/(sqrt(108)/sqrt(2) + sqrt(6)) - (4*((sqrt(405) - sqrt(405)*2) + sqrt(405) + sqrt(405) - (sqrt(5) + 1*sqrt(5) + -4)))**2.
-4176 - 1791*sqrt(5)/2
Simplify (sqrt(385)/(sqrt(42)/sqrt(6)) + sqrt(1980)*-4 + sqrt(1980))/(3*sqrt(2156)*-2).
17*sqrt(5)/84
Simplify (3*(sqrt(4536)*2 + sqrt(4536)) - (-1*-2*sqrt(4536) + sqrt(4536)))/((sqrt(1152) + sqrt(1152)*-2)*6*-4).
3*sqrt(7)/16
Simplify 2*(sqrt(1700) - (0 + sqrt(1700)))**2 + 1 + sqrt(1700) + 1 + -5 + (sqrt(68)/sqrt(4)*-2 + (sqrt(17) - (sqrt(153) + 5))**2)*2*5.
190*sqrt(17) + 927
Simplify ((-6*(sqrt(70) - ((sqrt(70) - (sqrt(70) + (4*sqrt(70)*-6 - sqrt(70)))) + sqrt(70)))*-4)/(sqrt(90)*1*2 - sqrt(90) - 3*(sqrt(90)*-1 - sqrt(90))))**2.
40000/7
Simplify (sqrt(288) + sqrt(288) + -1 + 1 + -3 - (sqrt(288) - (6*(-2 + sqrt(288)) + sqrt(288)) - 1*sqrt(288)*2))**2.
-3600*sqrt(2) + 29025
Simplify -5 + -3*((6*sqrt(133)*2)/(sqrt(35)/(sqrt(5)*2)) + ((-2*(sqrt(114) - (sqrt(114)*-2 + sqrt(114))) - sqrt(114)) + sqrt(114))/sqrt(486)).
-212*sqrt(19)/3 - 5
Simplify 4*(2 + (2*sqrt(288))**2*3 + (sqrt(18)/(-2*sqrt(9) - sqrt(9))*-2)**2*6).
41560/3
Simplify (-6*3*-5*-2*(-3*1*sqrt(180) + 2*(sqrt(180) + sqrt(180) + -1)))**2.
-777600*sqrt(5) + 5961600
Simplify (sqrt(50)*-3 + sqrt(32)*-3 + 4*((0 + sqrt(288) - sqrt(288)) + sqrt(2)) + -3 + 0)**2.
138*sqrt(2) + 1067
Simplify ((sqrt(55)/(sqrt(11) + sqrt(99)) + sqrt(5) - sqrt(30)/(sqrt(6)*-1))*-1 + -5 + -5 + -2*sqrt(5)*3 + (sqrt(150)/sqrt(3))/sqrt(10) + -1)**2.
319*sqrt(5)/2 + 6141/16
Simplify ((3 + 2*sqrt(405))**2 + sqrt(405))*-5 + -5 + (sqrt(405) + 5*sqrt(405) + 2)**2.
-369*sqrt(5) + 6434
Simplify (3 + 3 + 3*(-1 + 0 + 1*sqrt(468)*-3)*2)**2.
151632
Simplify 5*(-2 + sqrt(1053) + sqrt(1053) + 1 + 0 + (4*sqrt(1053) + -4)**2).
-1350*sqrt(13) + 84315
Simplify (-6*4*4*sqrt(36)/sqrt(3))/(sqrt(144) - -1*sqrt(144)*-2 - (1*sqrt(144)*1 - sqrt(144))) + 5.
5 + 16*sqrt(3)
Simplify ((-4 + sqrt(128))*-1 - (sqrt(128)*4 + -2))**2 + (sqrt(128)*3 + -5 + -4 + -2*sqrt(128) + sqrt(128))**2.
-768*sqrt(2) + 3829
Simplify (1*((sqrt(192) + 2 + sqrt(192))*4 + -5)*3*-2 + -5)**2.
17664*sqrt(3) + 442897
Simplify -1*(-3 + (sqrt(1900) - ((1 + sqrt(1900) - sqrt(1900))*-1 + sqrt(1900)))**2 + (2 + (sqrt(1900) - (sqrt(1900) + 0 + 1)))**2) + 3.
4
Simplify ((sqrt(13) + -3*sqrt(13) + -5)*-2 + -2 - (sqrt(65) + -1*sqrt(65)*-2)/((-1*sqrt(15))/sqrt(3)))**2.
112*sqrt(13) + 701
Simplify ((sqrt(35) - (sqrt(2835)*3 - sqrt(2835))) + sqrt(35) + 2*sqrt(315)/sqrt(9))/((sqrt(1008) + (sqrt(1008) - -2*sqrt(1008)))/(sqrt(36)*4)).
-7*sqrt(5)
Simplify (sqrt(66)*-2*1*2)/(3*sqrt(6)*1 - ((sqrt(54)*2)/sqrt(9) - sqrt(6))) + 3.
-2*sqrt(11) + 3
Simplify 5*(sqrt(2) + (sqrt(2) + 3 + sqrt(72) - sqrt(2))**2)*4 - (-4 + ((sqrt(98))**2 + -1)*-4).
740*sqrt(2) + 2012
Simplify (-4*1*(sqrt(70) + 1*(-1*sqrt(70) - sqrt(70)) + sqrt(70)))/((sqrt(100)*-1*5)/(sqrt(250)*1)).
0
Simplify (sqrt(1872)*2*-6*-3 - -2*(-1 + sqrt(208) + -4 + sqrt(208) + sqrt(208) - sqrt(208)))**2 + -3.
-8960*sqrt(13) + 2609249
Simplify -1*(sqrt(128) + -1 + 0 - (sqrt(128) + -1 + -3 - sqrt(128)) - ((-2*sqrt(128) + sqrt(128) + sqrt(128) + -3)*-4)**2).
-8*sqrt(2) + 141
Simplify ((-2 + sqrt(1125) - sqrt(90)/(sqrt(2) + sqrt(10)/sqrt(5)) - (-5 + sqrt(225)/sqrt(20))) + 0)**2.
72*sqrt(5) + 729
Simplify (5*(-2*(1 + sqrt(1088)) + -6*(0 + sqrt(1088))))**2 - (-3 + 1*sqrt(1088) + (sqrt(1088) - (-1 + sqrt(1088) + -4 - sqrt(1088)) - sqrt(1088)))**2.
6368*sqrt(17) + 1739808
Simplify (1 + (sqrt(1331) - 6*sqrt(1331)*-2) + -5 + (-1*sqrt(1331))**2)*-2*-2 + -1.
572*sqrt(11) + 5307
Simplify -1*(sqrt(18)/(-5*(sqrt(216) + sqrt(6))))**2 - (5*(2 + sqrt(12))**2 + -3).
-94328/1225 - 40*sqrt(3)
Simplify (-5*(sqrt(300) + 0) + sqrt(18)/((sqrt(48) + (sqrt(48) - sqrt(768)))/sqrt(8)) + (2 + 4 + (sqrt(27) - -2*sqrt(27)))*4)**2.
-696*sqrt(3) + 4827/4
Simplify 5*-1*(2*sqrt(2268)*-6)/(-4*(sqrt(729) - (sqrt(729) + sqrt(729) + sqrt(729)*-1) - sqrt(9))) + -1.
-1 + 90*sqrt(7)
Simplify (-5*(4*(2*(-3 + sqrt(1008) + sqrt(1008) + sqrt(1008)) + sqrt(1008)) - (3 + 5 + (sqrt(1008) - (sqrt(1008)*-3 + sqrt(1008))))))**2.
-480000*sqrt(7) + 15775600
Simplify (sqrt(125)*2 + 0 - (-2 + 0 + sqrt(125)) - ((sqrt(125) + -2)*-5 - (sqrt(125) + 1*sqrt(125)*2))*-1)**2.
-840*sqrt(5) + 6269
Simplify (sqrt(660)/sqrt(48))/(sqrt(11) - sqrt(77)/sqrt(343)) - (-3 + 2*sqrt(180) + sqrt(140)/(sqrt(7) + sqrt(28)))**2.
-7301/9 + 919*sqrt(5)/12
Simplify (6*(-3 + sqrt(200) + -3)**2 + (-3*(1 + sqrt(200))*4)**2)*2.
4320*sqrt(2) + 60720
Simplify (-3*sqrt(65)*3 - -1*sqrt(65)*3)/(-2*(sqrt(5) + sqrt(30)/sqrt(6) + sqrt(5)) + -1*sqrt(125)).
6*sqrt(13)/11
Simplify -4 + (sqrt(20)/(sqrt(90)/(sqrt(9) + (sqrt(9) - sqrt(36)/sqrt(4))) + sqrt(10) - sqrt(10)))**2 - ((sqrt(50) - -4*sqrt(50)) + -3 + -3).
-25*sqrt(2) + 4
Simplify ((sqrt(78) + (sqrt(78) - 3*(sqrt(78) - sqrt(78)*1)))/(6*sqrt(54)) - (6*sqrt(13)*-2 - (sqrt(104)*2)/sqrt(8))) + 5.
5 + 127*sqrt(13)/9
Simplify ((sqrt(3500)*1 + sqrt(3500) + sqrt(3500) - 2*sqrt(140))*6)/(1*sqrt(7)*-1*-4*-3).
-13*sqrt(5)
Simplify -2 + ((((sqrt(104) + sqrt(104) + 3*sqrt(104))*-2)/sqrt(8) + -1 - (sqrt(1053) + 0 + (sqrt(130) - sqrt(130)*-2)/sqrt(10))) + -1)**2.
88*sqrt(13) + 6294
Simplify ((2*(1*sqrt(2401) + sqrt(2401)))/(sqrt(35)/(sqrt(640)/sqrt(8))) + -5)**2.
-1120*sqrt(7) + 87833
Simplify 4*(((sqrt(405) + (-2*sqrt(405) - sqrt(405)))/sqrt(9))/(6*(sqrt(81) + sqrt(9)) + sqrt(9)) + 1).
-8*sqrt(5)/25 + 4
Simplify 6*((2*sqrt(63)*-1 - (sqrt(4032) + -2))**2 - ((1 + sqrt(1575) + -1)**2 + -4)).
-720*sqrt(7) + 28398
Simplify ((6*(sqrt(84)*1 + sqrt(84))*4*6)/((sqrt(132) - (sqrt(132) + (sqrt(132) - -1*sqrt(132))*5 - sqrt(132)))/(sqrt(99)*6)))**2.
2322432
Simplify 3*(((sqrt(128) - -1*sqrt(128))*-2 - -2*(sqrt(128) + 2))*-2*1)**2.
-1536*sqrt(2) + 6336
Simplify -3 + (sqrt(2736) - (sqrt(2736) + 0 + 4*sqrt(2736) + sqrt(2736))**2) + sqrt(2736) - (sqrt(38)/(sqrt(288)*1) + 1).
-98500 + 287*sqrt(19)/12
Simplify -5 + -3 + 1*-5*(-3*sqrt(153)*-1)/(1*sqrt(81)).
-5
|
{
"pile_set_name": "DM Mathematics"
}
|
- -100.4. What is i rounded to zero decimal places?
35
Suppose 0 = -d - 5*n + 27, 2*d - n - 1 = -d. Suppose 200 = 2*l - 2*q, -6*q + d*q + 279 = 3*l. Round l to the nearest 10.
100
Let p(w) = -w**3 + w**2 - 2*w + 2450. Let g be p(0). What is g rounded to the nearest one hundred?
2500
Let j = -9.53 + -0.57. Let h = -10.09917 - j. What is h rounded to four decimal places?
0.0008
Let t be -1 - ((-123)/(-3) + -3). Let v = -102 - t. Round v to the nearest ten.
-60
Suppose 0 = m - 3502 - 295. Suppose -3*p = -2*w + m, 4*w = 4*p + 10345 - 2749. What is w rounded to the nearest one thousand?
2000
Suppose 0 = -0*o + 3*o - 15. Let c(j) = 22960*j**3 - j**2 + 5*j. Let g be c(o). What is g rounded to the nearest 100000?
2900000
Let n be 1 - 2*(-1)/(-2). Suppose -j - 3*z + 321 + 649 = 0, 3*z = n. Let a = -410 + j. What is a rounded to the nearest 100?
600
Let l = -117 - -79. Let m = -34.3 - l. Round m to the nearest integer.
4
Let n = -23 + 27. Let m be 5/(-10) - 559998/n. What is m rounded to the nearest 100000?
-100000
Let z = -2944.459961 + 2945.02. Let b = 0.56 - z. Round b to five decimal places.
-0.00004
Suppose -2*a + 7 = 3. Suppose -a*n + 6*n + 3240000 = 0. Round n to the nearest 100000.
-800000
Let p = -6 - -4. Let x = -2.9 - -0.8. Let u = x - p. What is u rounded to 1 dp?
-0.1
Let q = -0.823 + -0.117. What is q rounded to 1 decimal place?
-0.9
Let l(m) = -7*m - 2. Let n be l(-1). Suppose 5*k - 80025 = 4*o, n*o + 2*k - 24502 + 124492 = 0. Round o to the nearest 100000.
0
Let l = 2.06 + -2. Let p = l - 0.060007. Round p to six decimal places.
-0.000007
Suppose 2*l - 60025 = -5*x - 3*l, 5*x - l = 59995. What is x rounded to the nearest 1000?
12000
Let v = 303.00141 + -303. What is v rounded to four dps?
0.0014
Let s = -104 - -62. Let c = -41.999884 - s. Round c to five decimal places.
0.00012
Let d = -97 + 4. Let t = 93.41 + d. Round t to 1 dp.
0.4
Let d = 2.473 + -2.58. What is d rounded to 2 dps?
-0.11
Let j = -7.6 + 7.600044. What is j rounded to 5 dps?
0.00004
Let w = 107.7 + -4.7. Let i = w - 102.9999939. What is i rounded to six decimal places?
0.000006
Let z = -24 + 36. Suppose 5*x = x + z. Suppose 0*c + 249000 = x*c. Round c to the nearest 10000.
80000
Let a = -67 + 112. Let t = -23.7 + a. Let c = t - 16. Round c to zero dps.
5
Suppose -4*t + t - 2662836 = 0. Let w = 1327612 + t. Round w to the nearest 100000.
400000
Let z = 0.7656 - 0.0766. Let h = z + -0.059. Round h to one decimal place.
0.6
Let a = 241885 + -241989.089. Let n = a + 104. Let b = 0.08943 + n. Round b to 4 decimal places.
0.0004
Let v(r) = -47*r**2 + 3. Let m(s) = -94*s**2 + 6. Let g(c) = -6*m(c) + 11*v(c). Let y be g(7). Round y to the nearest 1000.
2000
Let s = -492 + 292. Let u be (4502 + -2)/(1/s). What is u rounded to the nearest one million?
-1000000
Suppose 14*n - 12*n = -168000. Round n to the nearest ten thousand.
-80000
Let t(i) be the third derivative of 0 + 0*i - i**2 + 5/6*i**3 - 106667/8*i**4. Let g be t(5). Round g to the nearest one million.
-2000000
Let u = 12 + -2. Let j = -14 + u. Let d = j + 3.975. What is d rounded to two dps?
-0.03
Suppose 2 = -j + 6. Suppose -j*b + 6*b = -10000. What is b rounded to the nearest ten thousand?
-10000
Suppose -p = 5*h - 100 + 24, -h = -2*p - 24. Let t be (-2)/(-8) + 207996/h. Round t to the nearest ten thousand.
10000
Let w be 23*((1 - -1) + 102230). Let i(p) = -206418*p**3 - p**2 + p - 2. Let b be i(-2). Let t = b - w. What is t rounded to the nearest 1000000?
-1000000
Let f = 144.51 - -0.49. Let c = f + -144.9999917. Round c to six dps.
0.000008
Let d = 139316260.5900523 - 139316239. Let o = 0.4097577 + d. Let h = 22 - o. What is h rounded to four dps?
0.0002
Let u = -0.09 + 0.247. Let w = 0.65 - 0.5. Let h = w - u. Round h to 2 decimal places.
-0.01
Let m = 0.178 - 0.13. Round m to 2 decimal places.
0.05
Suppose 16*d = -5*r + 11*d + 6445, -3*d - 1293 = -r. What is r rounded to the nearest one hundred?
1300
Let a = 6749699936.00000033 + -6749699883. Let h = -53 + a. What is h rounded to 7 decimal places?
0.0000003
Let l(x) = -3*x - 1. Let s be l(-2). Suppose -s*o + 2 + 13 = 0. Suppose 21796 = o*a - 8204. Round a to the nearest 100000.
0
Let m = 22.7 - 3.7. Let c = 9 + m. Let l = -27.9999962 + c. What is l rounded to 6 decimal places?
0.000004
Let l = 719985 - 423960. Suppose -3*q = -2*p + 2*q - l, -4*p - 5*q - 591975 = 0. Round p to the nearest ten thousand.
-150000
Let b(l) = -21499*l + 6. Let j be b(-6). What is j rounded to the nearest 10000?
130000
Let n = 246345.4 + -246345.8500102. Let x = -14.45 + 14. Let j = n - x. What is j rounded to 6 dps?
-0.00001
Let u = -22 + 19.8. Let g = u - -2.1861. What is g rounded to 3 dps?
-0.014
Let v = 8.1 - 1.1. Let a = v - 7.0000002. Round a to six decimal places.
0
Let k = -13 - -33. Let w = k + -20.0000074. Round w to 6 dps.
-0.000007
Suppose 17*f - 2942355 - 6356645 = 0. Round f to the nearest one hundred thousand.
500000
Let h be (-1)/(3/6 - 1). Suppose -h*m - 8 = -4*p - m, 5*m - 8 = 4*p. Suppose p*o - 3 = -0*o. Round o to the nearest ten.
0
Let h = -245.9452 - -246. What is h rounded to two decimal places?
0.05
Let u = -0.985 - -1.5. Round u to one decimal place.
0.5
Let h = -3125524.8100082 + 3125490.81. Let j = 33.951 - -0.049. Let b = j + h. What is b rounded to six dps?
-0.000008
Let o = -40 - -39.94. What is o rounded to two decimal places?
-0.06
Let p = 28 - 27.99999858. What is p rounded to seven decimal places?
0.0000014
Let p = 28.8241945 + -28.9142. Let c = -0.09 - p. Round c to six decimal places.
0.000006
Let p = 3.97 + -4. Let k = 1.97 - p. Let z = -2.00001 + k. What is z rounded to four decimal places?
0
Suppose -4*t - t - 15 = w, w = 4*t - 6. Let v be ((-320000)/(-6))/(w/975). Round v to the nearest 1000000.
-5000000
Let d = 3377060681 - 3377060481.9999891. Let n = d + -199. Round n to six decimal places.
0.000011
Let v = -0.05 + 0.1. Round v to one decimal place.
0.1
Suppose 4*w = w, 167970 = 3*p + 5*w. Suppose -2*f + p = -2*r, -5*r = -f + 4*f + 140015. What is r rounded to the nearest ten thousand?
-30000
Let x = 1 + 3. Suppose t + 5*p + 70 = 0, 0 = -x*p + 3*p + 5. What is t rounded to the nearest 10?
-100
Let w = 0.3 - 0.3. Let i = w - 2. Let y = -1.99996 - i. Round y to four dps.
0
Let u(k) = 56*k**2 + 16*k + 8. Let t be u(-12). Suppose 4*m - q = -54396, 5*q + 32940 = -3*m - t. Round m to the nearest one thousand.
-14000
Suppose x = -5*j + 757 - 160, 2*j - 249 = 3*x. What is j rounded to the nearest ten?
120
Let k be 8/(-12) - 22/(-6). Suppose h = 4*o + 5 + 11, -k*h - 2*o = 8. Suppose h*b + 31500000 = -5*b. Round b to the nearest 1000000.
-6000000
Let t = -0.532 + -1.42. Let w = t - -2.1. What is w rounded to 2 decimal places?
0.15
Let s = -913641 - -913640.789237036. Let b = -17.310770864 - s. Let m = -17.1 - b. What is m rounded to six decimal places?
0.000008
Let l = 893.978 - 896. Let j = 2 + l. What is j rounded to 2 dps?
-0.02
Let w = -0.581 - -1.118. What is w rounded to 1 dp?
0.5
Let v(z) = -z**2 - z - 6. Let a be v(0). Let d be a/15*(-5)/(-1). Let u be d + -108997 + 0 + -1. What is u rounded to the nearest 10000?
-110000
Suppose -4*u + 2*u + 420010 = -5*c, 840002 = 4*u - c. Suppose -u = -0*z + 2*z. Round z to the nearest ten thousand.
-110000
Let m = 107.999963 - 108. What is m rounded to 5 dps?
-0.00004
Let p = -7.9997 + 8. Round p to 3 decimal places.
0
Let f = 2.429 - 0.339. Let b = 11.19 - f. Round b to the nearest integer.
9
Let x = 285.7 - 303. Let h = x - -17.3595. Let t = h - 0.06. Round t to three decimal places.
-0.001
Let f = 0 + 4. Let z = -11968522 + 11968517.9999944. Let b = f + z. What is b rounded to six dps?
-0.000006
Let d = 4217 + -2285. Suppose 0 = -5*z + 2*p + d - 8128, -3*z - 3722 = p. Round z to the nearest one hundred.
-1200
Let w(s) = 426*s**2 - 4. Let o be w(2). What is o rounded to the nearest 1000?
2000
Let c = 0.2 + -0.2. Let i = 5 + -5.0000012. Let g = i - c. Round g to six decimal places.
-0.000001
Suppose -3*y + y + 4 = 0. Suppose 0 = -y*a + a. Let p be (a - (-3000)/(-9))*-17700. What is p rounded to the nearest one million?
6000000
Let o be (2/3)/(16/72). Let b be ((-2440)/(-6))/(o/45). What is b rounded to the nearest 1000?
6000
Let h = -0.019 - -0.095. Round h to 2 dps.
0.08
Let m = 8 + -4. Suppose -m*n = 81
|
{
"pile_set_name": "DM Mathematics"
}
|
5 - 67 + 42)*(2*t + 2 - 2) + (-1 - 1 + 0)*(-t + 2*t + 0*t) as a + v*t and give v.
-482
Rearrange (-1 + 1 + 2)*(0*p - p - 6*p)*(-234*p - 82 + 82) to w + x*p**2 + o*p and give x.
3276
Express 26*p**4 + 9*p - 2055*p**2 + 2*p**3 + 2036*p**2 - 37*p**4 + 12*p**4 in the form g*p**3 + d*p + b*p**2 + u + a*p**4 and give g.
2
Express 20709*t**2 - 1215*t**2 + 7446*t**2 in the form d*t + f + w*t**2 and give w.
26940
Express 190*n**4 + 220 + 2*n - 233 - 196*n**4 + 2*n**3 + 3*n**2 in the form g + r*n**3 + y*n**4 + b*n + v*n**2 and give v.
3
Express (7 - 2 - 1)*(31300 + 27511 - 71530)*(0*y + 4*y - 3*y) as l*y + c and give l.
-50876
Express 7*l - 4*l - 10*l + 11*l - 49*l - 3*l - l + 7*l + 3 - 2*l - 3 + (1 + 3 - 2)*(-l + 4*l - 5*l) in the form h*l + o and give h.
-48
Rearrange 5493*y**2 - 5482*y**2 - 1 + 1 + 46*y to p*y + f + x*y**2 and give x.
11
Rearrange -192 - 189 + 245*z**2 + 572 + 0*z - 193 - z to n*z**2 + v + k*z and give n.
245
Express 14266*f + 117134543 - 117134543 as q + c*f and give c.
14266
Rearrange -6*b**2 + 3*b - 2450 + 8*b**3 - 2453 + b**4 - 2443 + 7349 to the form a + p*b + z*b**3 + x*b**2 + n*b**4 and give x.
-6
Express 81 + u**3 - 83 + 164*u**2 + 3*u - 177*u**2 - 3*u**4 as n*u**3 + t*u + o*u**2 + b*u**4 + j and give b.
-3
Express -109652212 + 109652212 + 18656*v as l + b*v and give b.
18656
Express 11*w**4 - 22*w**4 + 9*w**4 + 3*w - 31 + 502 as u*w + v*w**2 + s + o*w**4 + l*w**3 and give u.
3
Express 1045*i**2 + 9*i - 17 - 46*i - 521*i**2 - 530*i**2 as n*i + s*i**2 + j and give n.
-37
Express -725*g - 292 - 756*g - 715*g + 2221*g in the form y*g + v and give v.
-292
Rearrange -23 - 6 + 60 + 85 - s to the form l*s + w and give l.
-1
Express -2*n**2 - 35392*n + 70558*n - 2*n**4 - 2*n**3 + 0*n**2 - 35307*n as k*n**4 + d*n**3 + f + a*n**2 + w*n and give k.
-2
Express (-7 + 5 - 16)*(48534 - 48534 + 149*o**3 + (-o + o + o)*(-o**2 + 2*o**2 - 3*o**2)) in the form f*o + b*o**3 + g*o**2 + l and give b.
-2646
Express 2*s**4 + 0 + 0 + (-6 - 5 - 2)*(3 + s - 3)*(4*s**2 + 11 - 11)*(-1 - 2*s + 1) in the form p*s + q*s**3 + k*s**4 + v + f*s**2 and give k.
106
Rearrange -2*b + 1858*b**2 - 2288 + 2287 + 2*b to the form j + z*b**2 + y*b and give j.
-1
Rearrange 451*y - 149*y - 153*y - 150*y**2 - 152*y to j*y**2 + b*y + h and give b.
-3
Rearrange (78*q - 9*q + 7*q)*(-81 + 107 - 64) + 0*q + 4*q - 3*q to y + c*q and give c.
-2887
Express (-265*a + 65*a - 73*a)*(9 + 42 + 18) as t + x*a and give x.
-18837
Rearrange -2 - 1861*w**2 + w**3 + 3713*w**2 - 1840*w**2 + w to the form p*w**2 + f + i*w**3 + v*w and give i.
1
Rearrange 242*m - 186*m**2 - 238*m - 420*m**2 + m**2 to the form p*m + o*m**2 + d and give p.
4
Express (9*k - 2*k**3 - 9*k)*(-3876 - 1247 - 2057 - 2059 + 2478) as w + f*k + d*k**2 + b*k**3 and give b.
13522
Express 5*n + 10*n**2 + 4*n**3 - 6*n + 2*n**2 - 10*n**2 + 12 as f*n**2 + w + q*n + b*n**3 and give f.
2
Express -1 - 234*k + 1552*k**3 - 2339*k**3 + 228*k as z + x*k + l*k**3 + n*k**2 and give x.
-6
Rearrange 3*k - 3509 + 117*k**3 + 299*k**3 + 3509 + 596*k**3 to f*k + v + h*k**2 + l*k**3 and give f.
3
Express (-s + 3*s - s)*(-9 + 36 - 9) - 52 + 40 - 4*s + 0*s as t*s + b and give b.
-12
Express 2*x + 63*x**3 + 132*x**3 - 207*x**3 + 3*x**2 - 12 as r*x**2 + g*x + u + k*x**3 and give k.
-12
Express -2 - 9118*z**3 + 4364*z**3 - 2*z**4 + 0 + 4446*z**3 in the form a*z**4 + x*z**3 + l*z**2 + v + y*z and give a.
-2
Rearrange -4 - 46*x + 416*x**2 - 415*x**2 - 15 to the form g*x + s + q*x**2 and give s.
-19
Express -308 + 158 + 150 + 935*m as k + f*m and give f.
935
Rearrange 36952*u - 2 - 36946*u + 2 + 11*u**2 to p*u**2 + a*u + k and give a.
6
Express (132 - 79 + 35)*(7*z - 5*z - 7*z)*(-2*z**2 + 2*z**2 - 5*z**3 + 2*z) as o*z**3 + p*z + w*z**2 + l*z**4 + a and give l.
2200
Rearrange (-3*b**3 + 2*b**3 + 0*b**3)*(874 + 396 + 2*b - 119) to t*b**4 + z*b**2 + c + m*b + f*b**3 and give t.
-2
Express (-16908 + 16908 + 5514*l**2)*(0*l + 3*l - 2*l) + l**3 + 0*l**3 + 2*l**3 in the form a*l + r + q*l**2 + s*l**3 and give s.
5517
Express (33*a + 33 - 33)*(-19*a**3 + 62*a**3 + 18*a**3) - a**4 + 0*a**4 + 2*a**4 as k*a**3 + b + t*a + p*a**2 + j*a**4 and give j.
2014
Express -25860*c**3 - 1 - 64*c**4 - 90*c**2 + 25829*c**3 + 2*c + 66*c**4 as i*c**4 + h + s*c + m*c**3 + v*c**2 and give i.
2
Express 177*x**3 - 226*x**3 + 2 + 39677*x**2 - 39672*x**2 - 132*x**3 - 229*x**3 in the form n*x**2 + d + w*x**3 + g*x and give d.
2
Rearrange 4*j - 6*j + j + (3 - 2 - 3)*(13*j + 16*j - 24*j) + 5 + 0*j - 5*j + 6*j to s*j + c and give c.
5
Rearrange -13 - 3950*l + 1325*l + 63 + 1315*l + 1318*l to the form o*l + q and give o.
8
Express (-147 - 22275*i + 158 - 11 + (-3 + 1 + 0)*(0 - i + 0))*(4 - 2 + 0) in the form y*i + o and give y.
-44546
Rearrange 1987*m**2 + 97*m**4 + 11 - 1990*m**2 - 164*m**4 to b*m**3 + q*m + p*m**4 + s*m**2 + f and give s.
-3
Rearrange -2*t**4 + 2*t + 2*t + 5*t + 0*t - 19*t**3 + 17*t**2 - 11*t**2 to n + d*t + m*t**4 + c*t**3 + q*t**2 and give m.
-2
Express -8 - m**4 - 62920*m + 62920*m - 54*m**2 - 2*m**3 in the form l*m + o*m**3 + u*m**4 + p*m**2 + t and give p.
-54
Express (2257*j - 91688 + 91688)*(-3*j - 4 + 4) in the form x + y*j + w*j**2 and give x.
0
Rearrange 6*u**2 - 3*u**3 + 0*u**3 - 3*u**2 - 5*u**2 - 143*u**4 to the form o + b*u**4 + s*u**3 + h*u**2 + l*u and give s.
-3
Rearrange -12 + 11519*h + 12 - 11520*h - 5469*h**2 to q*h + j + t*h**2 and give q.
-1
Rearrange k**2 + 659*k**4 + 773*k**3 - 632*k + 632*k - 770*k**3 to a*k**2 + j*k**4 + u*k + r + p*k**3 and give p.
3
Rearrange (1 - 1 + 2)*(2*v + 2*v - 6*v) + 0*v + 0*v - v + 111046 + 2*v - 40*v - 111049 to p + i*v and give p.
-3
Rearrange (-2 + 2*d**2 + 14*d + 55*d - 23*d)*(2597*d + 2596*d - 5*d**2 + 1 - 5192*d) to the form q*d + p*d**2 + l + n*d**4 + s*d**3 and give q.
44
Express -9*g**2 + 24*g**2 + 0*g + 3 - 231*g**3 - 191*g**3 - 17*g**2 + g in the form b + x*g + i*g**2 + o*g**3 and give x.
1
Rearrange 0 + 3 + 0 + 2*t - t + t + 2*t - 2*t + 3*t - 3*t + (0 + 0 + 2)*(0*t - 2*t + t) - t + 0*t + 0*t - 60*t + 43*t - 33*t to j*t + b and give j.
-51
Express -172*y + 167*y - 839 + 2260 in the form m*y + v and give m.
-5
Rearrange 30*m**2 + 6*m**2 - m - 15 - 2 - 44*m**2 - 6*m to g*m**2 + n*m + f and give n.
-7
Express -3*n + 3*n + 2*n**2 + (7*n - 719 + 0*n + 592)*(11*n + 78 - 78) + 0*n**2 - 1 - 1 + n**2 as l*n**2 + j*n + o and give j.
-1397
Express (-1455*f**2 - 5621*f**2 + 1357*f**2)*(2*f**2 - 5*f**2 - f**2) as p*f**4 + r*f**3 + l + d*f + j*f**2 and give p.
22876
Rearrange (2*d - 6*d - 2*d)*(-15284*d - 321*d**3 + 15284*d)*(2 + 3 - 7) - 2*d**4 + d - d to l*d**2 + k*d**3 + b + p*d + c*d**4 and give c.
-3854
Express (-5*u + 6*u**2 - 6*u**2 + 6*u**2)*(-56*u - 70*u + 13*u) as n + b*u**3 + h*u + r*u**2 and give b.
-678
Express -12 - 38*h - h**3 - 36*h + 13*h**2 - 36*h + 10 + 91*h as t*h**2 + w*h + s + d*h**3 and give d.
-1
Rearrange 3 - 233*g**3 - 1 + 696*g**3 - 234*g**3 - 5*g - 5*g**2 - 231*g**3 to the form n + c*g + d*g**3 + r*g**2 and give n.
2
Rearrange (-k - 2*k + 2*k)*(1 + 0 + 0) + (0*k + 0*k + k)*(-745 - 391 + 218) + (0 + 0 - 1)*(4*k - 4*k - 7*k) to the form z + l*k and give l.
-912
Express (17 + 20*j - 161*j + 134*j)*(15*j + 0*j - 9*j) as x*j**2 + k*j + z and give x.
-42
Express -55*v - 86 - 48 - 99 - 2*v**2 + 188 - 32 as d + n*v + m*v**2 and give n.
-55
Rearrange (-15*t - 15*t + 25*t)*(-319 - 11 - 54 + 17) to the form p + o*t and give o.
1835
Express 1419 + 738 - n**2 - 442 + 596 in the form v*n + o + u*n**2 and give u.
-1
Express 24*j**2 - 46*j**2 - 23*j**2 + (3*j - 5*j - j)*(8*j - 4*j + 19*j) as w + c*j + q*j**2 and give q.
-114
Rearrange -340*m**2 - 667*m**2 - 461*m**2 - 577*m**2 to the form b*m**2 + x + s*m and give x.
0
Express 152 - 431 + 130 + 149 - 9696*n in the form i + l*n and give l.
-9696
Express (0*m**2 + 3*m**2 - 2*m**2)*(68 + 2 + 53)*(3*m - 16*m - 39*m) in the form k*m**2 + n + u*m + q*m**3 and give n.
0
Rearrange -55*j**2 + 12*j - 30*j - 33*j + 42*j to c + m*j**2 + v*j and give v.
-9
Express (-489*n**3 - 500 + 9183*n + 484*n**3 - 9182*n)*(0*n + 5*n - 3*n) as o*n**3 + z + x*n + r*n**4 + k*n**2 and give r.
-10
Express -8*y**2 + 15*y + 7*y + y**3 + 5 - 18*y - 8*y**2 - 4*y**2 in the form l*y**3 + d + t*y**2 + a*y and give a.
4
Rearrange 633*t - t**3 - 71 - 718*t - 16*t**4 + 85*t to the form b*t**3 +
|
{
"pile_set_name": "DM Mathematics"
}
|
b) = b. Suppose 8 = 3*t - 5*v, 85*v - 6 = -4*t + 87*v. Determine t*m(l) - 6*i(l).
l + 2
Let v(r) = -13*r**2 - r + 6. Let g(b) = -67*b**2 - 5*b + 33. Give -4*g(p) + 22*v(p).
-18*p**2 - 2*p
Let d(r) = r + 1. Let y(g) = 5*g + 59. Give 3*d(q) - y(q).
-2*q - 56
Let h(u) = 12. Suppose -50*x - 58 = 8*x. Let d(q) = q + 1. Give x*h(i) + 12*d(i).
12*i
Let n(s) = -7*s**3 + s. Let h(q) = -15*q**3 + 2*q. Suppose -29*z + 32*z - 5*j = 26, -5*z + 4*j = -39. What is z*n(y) - 3*h(y)?
-4*y**3 + y
Let m(t) = t + 1. Let l(h) = 7*h + 5. Suppose 9*q - 6 = 39. Suppose -3*g + 3*k - 6 = -0*k, q*g = 4*k - 9. Determine g*l(v) + 5*m(v).
-2*v
Let a(v) = -1639*v + v**2 + 1639*v. Let y(w) = w**3 - 3*w**2. Calculate 5*a(f) + y(f).
f**3 + 2*f**2
Let z(f) = 5*f**3 - 17*f**2 + 13*f - 11. Let y(l) = -l**3 + 7*l**2 - 2*l + 8. Let u be y(7). Let i(k) = -2*k**3 + 8*k**2 - 6*k + 5. Determine u*z(d) - 13*i(d).
-4*d**3 - 2*d**2 + 1
Let z(x) = 264*x**3 + 242*x**2 - 242*x + 242. Let q(b) = b**2 - b + 1. What is 484*q(r) - 2*z(r)?
-528*r**3
Suppose b = 2*b - 12. Suppose -3*c + b = 0, 4*c - 8 = -4*w + 4. Let v(l) = l**3 - l**2 + 1. Let u(y) = 4*y**3 - 3*y**2 + 2*y + 5. Calculate w*u(m) + 3*v(m).
-m**3 - 2*m - 2
Let y(v) = 6*v**2 + 30*v + 8. Let h(z) = -4*z**2 - 20*z - 6. Give -8*h(f) - 5*y(f).
2*f**2 + 10*f + 8
Let m(n) = -2*n**2 + 9*n - 173. Let k(x) = -x**2 + 4*x - 87. Calculate 7*k(g) - 3*m(g).
-g**2 + g - 90
Let r(q) = -18*q**3 + 34*q**2 + 34*q - 34. Let j(i) = -i**3 + i**2 + i - 1. Give -204*j(f) + 6*r(f).
96*f**3
Let x(g) = 2*g - 1. Let y(q) = -2*q**2 - q - 4. Let r be y(-2). Let t(c) = -c**2 - 4*c + 64. Let s be t(r). Let n(k) = -2*k + 1. Give s*x(m) + 5*n(m).
-2*m + 1
Let x(y) = 3*y**3 - 5*y**2 + 2. Let h = 42 - 40. Let k(s) = 955 - 3*s**3 + 11*s**h - 4*s**3 - 960. Calculate 2*k(o) + 5*x(o).
o**3 - 3*o**2
Let g(p) be the first derivative of -p**3 - p**2 - 32. Let y(o) = -o**2 - 41 + 41 - 15*o**2 - 11*o. What is 11*g(l) - 2*y(l)?
-l**2
Let x(d) = -1. Let b(l) = -l + 10. Let c be b(9). Let u(o) = 193*o - 100*o + 0 - 95*o + 1. Determine c*u(w) - x(w).
-2*w + 2
Suppose -270 = 5*a + 5*o, o + 55 = -2*a - 53. Let y(n) = -3*n**3 - 54*n. Let r(d) = 2*d. Determine a*r(x) - 2*y(x).
6*x**3
Let x(a) be the second derivative of -a**5/20 - 5*a**2/2 - 4*a. Let o(i) = -2. Let w(k) = -5. Let h(u) = -6*o(u) + 2*w(u). What is 5*h(b) + 2*x(b)?
-2*b**3
Let z(d) = d**3 + 4*d**2 + 33*d. Let h(i) = -5*i**2 - 35*i. Calculate 4*h(b) + 5*z(b).
5*b**3 + 25*b
Let t(s) = -6*s**3 - 7*s**2 + 7*s + 7. Let n(l) = 220*l + l**2 + 5 - 196*l + 60. Let u be n(-21). Let p(w) = w**3 + w**2 - w - 1. What is u*t(m) + 14*p(m)?
2*m**3
Let b(s) = -3*s**2 - 31*s + 57. Let p be b(-12). Let r(q) = q**2 - 1. Let a(x) = 7*x**2 + x - 4. What is p*r(z) + a(z)?
4*z**2 + z - 1
Let m(p) = -402*p**2 - 410*p**2 + 802*p**2 - 24*p**3 + 12*p**3. Suppose 3*b = 2*b - 1. Let c(o) = -o**3 - o**2. Calculate b*m(y) + 10*c(y).
2*y**3
Let l(a) = 5*a**2 + 2*a + 2. Let t(p) be the third derivative of 18*p**2 + 0 + 1/2*p**3 + 1/10*p**5 + 1/8*p**4 + 0*p. Calculate -3*l(z) + 2*t(z).
-3*z**2
Let s(p) = 22*p**2 - 5*p + 15. Let r(z) = -10*z**2 + 2*z - 7. What is 5*r(n) + 2*s(n)?
-6*n**2 - 5
Let k(q) = 8*q - 4*q**2 + 6*q**2 - 7 - 3*q + 2. Suppose -11*n - 20 = -7*n. Let y(z) = -3*z**2 - 8*z + 8. Let a = -12 - -4. Give a*k(b) + n*y(b).
-b**2
Let n(b) be the first derivative of -3*b**4/4 + 6*b**2 + 6*b + 51. Let c(o) = 2*o**3 - 8*o - 4. Determine -7*c(m) - 5*n(m).
m**3 - 4*m - 2
Let b(f) = 26*f**3 - 20*f - 9. Let s(a) = -13*a**3 + 9*a + 4. Determine 4*b(t) + 9*s(t).
-13*t**3 + t
Let k(i) = -64*i + 1. Let h(b) = -2*b - 4. Calculate h(c) - k(c).
62*c - 5
Let s(p) = -143*p + 1. Let c(h) = -141*h + 1. Calculate 3*c(l) - 4*s(l).
149*l - 1
Let l(m) = -3*m**3 - 4*m**2 - 6*m - 8. Let b(z) = -4*z**3 - 5*z**2 - 7*z - 7. Give 4*b(d) - 5*l(d).
-d**3 + 2*d + 12
Let p(a) = 7*a**2 - 5*a + 11. Let b(t) = t**2 - t + 1. Let q be (83 - 79)*1/4. What is q*p(n) - 5*b(n)?
2*n**2 + 6
Let b(i) = 0*i**2 + 8*i - 17*i + 2*i**2 - 2 - 4*i**2 + 11*i. Let n(h) = -h**3 + 11*h**2 - 11*h + 10. Calculate 11*b(c) + 2*n(c).
-2*c**3 - 2
Let q(d) = 6*d**3 - 5. Let n(i) = -i**3 + 1. Let w = -310 + 295. Calculate w*n(g) - 3*q(g).
-3*g**3
Let r be ((-18)/12)/((-6)/(-20)). Let l(o) = 2*o**2 + 6*o. Let i(z) = -2*z**2 - 5*z. Determine r*l(m) - 6*i(m).
2*m**2
Let x(i) = -i**2 + i - 2. Let f(j) = -34*j**2 + 4*j - 14. Give -f(b) + 6*x(b).
28*b**2 + 2*b + 2
Let r = 21 + -20. Suppose 2*j + 5*v - 13 = 0, 0 = -v - v + 6. Let y(i) = i**2 + 1. Let b(k) = -k**3 + 1. Give j*y(c) + r*b(c).
-c**3 - c**2
Let q(k) = -3*k**2. Let a(j) = -10*j**2. Let y be ((-1)/(-2) + (-6)/(-12))*-7. What is y*q(v) + 2*a(v)?
v**2
Let k(u) = -6*u**2 - 2*u + 3. Let j(b) = 3*b**2 + 3*b - 2. Suppose -5*s + 3*s = 4. Let y be j(s). Let m(g) = 7*g**2 + 2*g - 4. Determine y*m(a) + 5*k(a).
-2*a**2 - 2*a - 1
Let x(p) = 4*p**3 - 13*p**2 - 4*p. Let h(l) be the second derivative of -l**5/10 + 7*l**4/12 + l**3/3 + 164*l. Give -11*h(u) - 6*x(u).
-2*u**3 + u**2 + 2*u
Let s(j) = 78*j + 9. Let a(d) = -235*d - 32. What is -2*a(k) - 7*s(k)?
-76*k + 1
Let z(u) = 4*u**2 - u - 5. Let t(d) = d**2 - 1. Let m = -89 + 92. Let v be ((-4)/m)/2 - (-170)/30. Calculate v*t(s) - z(s).
s**2 + s
Let k(m) = 11*m**2 - 7*m + 4. Let f(b) = -8*b + 12. Let t be f(-5). Let d = -56 + t. Let w(u) = 5*u**2 - 3*u + 2. Determine d*k(h) + 9*w(h).
h**2 + h + 2
Let i(r) = -2*r - 2. Let k(v) = v**3 - 2*v**2 - 26*v + 6. Let g be k(6). Let b(t) = 12*t + 13. What is g*b(o) - 39*i(o)?
6*o
Let u(i) = 3*i**3 + 3*i + 4. Let p(s) = -7*s**3 - 7*s - 9. Let b be 46/10 - (-8)/20. Suppose b*l + l + 12 = 0. Calculate l*p(o) - 5*u(o).
-o**3 - o - 2
Let v(a) = -6*a**2 - 3*a - 4. Let u(n) = -6*n**2 - 4*n - 5. Let j = 359 + -362. What is j*u(d) + 4*v(d)?
-6*d**2 - 1
Let b(m) = -5 + 1 + 4 + 1. Let z = -13 + 14. Let u(p) = p**2 - 1. What is z*b(v) + u(v)?
v**2
Suppose 4*m + 5*v + 140 = 0, -2*v + 104 + 71 = -5*m. Let u(q) = 154*q**2 + 35*q. Let f(x) = 9*x**2 + 2*x. Give m*f(z) + 2*u(z).
-7*z**2
Let g(a) = -a. Suppose 3 + 3 = 2*j. Let z(w) = -j*w - w + 3*w. Let n(v) = -v**2 + 2*v + 20. Let t be n(5). What is t*g(q) - 4*z(q)?
-q
Let p(z) = 8*z**2 - 27*z + 1. Let m(j) = -9*j**2 + 31*j. Give -6*m(q) - 7*p(q).
-2*q**2 + 3*q - 7
Let z be (-1)/((-4)/(-19 + 3)) + -3. Let b(o) be the third derivative of 2*o**5/15 + 17*o**2. Let f(y) = 7*y**2. Give z*f(w) + 6*b(w).
-w**2
Let y(b) = -b + 18. Let n be y(11). Let c(s) = -6*s - n - 6*s + 7*s + s. Let f(r) = 11*r + 20. Give -17*c(v) - 6*f(v).
2*v - 1
Let n(m) = -m - 1. Suppose -17*p + 136 + 204 = 0. Let f(b) = 10*b**2 - 20*b - 20. Determine p*n(a) - f(a).
-10*a**2
Let f(u) = 39*u**3 - 15*u**2 - u + 1. Let v(t) = 8*t**3 - 3*t**2. Give 2*f(p) - 11*v(p).
-10*p**3 + 3*p**2 - 2*p + 2
Let s(a) = -135*a - 11. Let u(x) = -x - 1. Determine -2*s(b) + 22*u(b).
248*b
Let p(h) = -5*h**3 + 33*h**2 - 51*h. Let l(q) = 2*q**3 - 12*q**2 + 17*q. What is 11*l(x) + 4*p(x)?
2*x**3 - 17*x
Let x(m) = -3*m**3 - m**2 + m - 1. Let g be (-6)/(-4)*30/(-45). Let w(p) = p**2 - p + 1. Give g*w(j) - x(j).
3*j**3
Let z(i) = -2*i**3 - 9*i**2 - i - 1. Let c(r) = -2*r**2. Give 9*c(a) - 2*z(a).
4*a**3 + 2*a + 2
Let r(j) = -9*j**3 - 2*j**2 - j. Let x(t) = -6*t**3 - t**2 - t. Suppose -5*s - 4*z = -0*s + 33, -5*z = 4*s + 30. What is s*r(c) + 8*x(c)?
-3*c**3 + 2*c**2 - 3*c
Let j be 1/4 - (-1)/(-4). Suppose j = 5*m - 6 - 39. Let k(q) = 5*q + 6. Let z(r) = 2*r + 5*r - 13 - 10*r - 3*r - 5*r. Calculate m*k(l) + 4*z(l).
l + 2
Let x(i) = -i - 3. Let a(j) = 1. What is 9*a(v) + 2*x(v)?
-2*v + 3
Let m(n) = 8*n**2 + 6*n**3 - 5*n**3 - n + 5*n**3 - 27 + 19. Let q(g) = -4*g**3 - 5*g**2 + g + 5. Determine 5*m(s) + 8*q(s).
-2*s**3 + 3*s
Let f(i) = -5*i**3 - 2*i**2 - 3. Let o(t) = -6*t**3 - t**2 - 4. Suppose 5*z + 13*q = 15*q + 19, -6 = 3*q. Suppose 2*a + 0 + 8 = 0. Give a*f(d) + z*o(d).
2*d**3 + 5*d**2
Let k(w) be the second derivative of -3*w**5/20 + w**4/6 - w**3/6 + w**2 + 40*w. Let g(t) = 4*t**3 - 3*t**2 + 2*t - 3. What is 2*g(r) + 3*k(r)?
-r**3 + r
Let f(d) = 3*d - 130. Let j(g) = -3*g + 131. Give -6*f(x) - 5*j(x).
-3*x + 125
Let u(k) be the first derivative of 2*k**2 - 17*k - 55. Let j(g) = 3*g - 11. Calculate -8*j(b) + 5*u(b).
-4*b + 3
Let y(x) = -2*x - 4 - x + 3*x**3 + 0*x**3 + 7*x**2. Let p(f) be the second derivati
|
{
"pile_set_name": "DM Mathematics"
}
|
-2*l - 152. What is the least common multiple of c and q?
54
Suppose -8*w + 9*w = s - 192, -2*w = -4*s + 762. Calculate the least common multiple of 147 and s.
1323
Let k(y) = -y**3 + 7*y**2 + y + 5. Let p be k(4). Let o = p - 16. What is the smallest common multiple of 8 and o?
328
Let t(q) = -q**2 + 10*q - 22. Let m be t(8). Calculate the lowest common multiple of 22 and (m/(-15))/(4/10) - -3.
44
Calculate the common denominator of (-1718)/(-1020) - 4/34 and -61/34.
510
Suppose 0 = 2*l + 9 - 13. Calculate the common denominator of 67/12 and l/(-12)*2 + 7502/(-660).
60
Suppose 63*f + 32*f - 1045 = 0. Calculate the least common multiple of f and 17.
187
Calculate the common denominator of -4*(8/(-54))/(12/72) and 103/120.
360
Suppose 3*b + 77449410 + 437605377 = 0. Let d = b + 4119866603/24. Let h = d + 23816. What is the common denominator of 91/6 and h?
24
Suppose -3*u + 9 + 12 = 0. Let q = -28 + u. Calculate the common denominator of 17/16 and (-72)/q + 3/(-6).
112
Let d = 113407/33 - 3437. Calculate the common denominator of -47/30 and d.
330
Let c = -17 + 22. Suppose c*o - 22 = -2*w, 8*o - 46 = 3*o + 4*w. What is the least common multiple of 23 and o?
138
Suppose 5*r - g - 75 = -0*r, 85 = 5*r - 3*g. Suppose d - 11 = -y, -y - 4*d + 0*d = -r. Let o = -3 + 6. What is the lowest common multiple of o and y?
30
What is the common denominator of 1 + -2 - (-14 + 69426/5362) and 23/2?
766
Find the common denominator of (-5925)/(-180)*(2 - 36/15) and (312/(-64))/((-42)/(-4)).
84
Let m be -3 - ((-48478)/12120 - -1). Let x = -50299/6060 - m. Find the common denominator of -55/2 and x.
10
Suppose -110 = -2*n - 30. What is the lowest common multiple of (-8)/10 + 208/10 and n?
40
Let w = -65 + 60. Calculate the common denominator of 5/50*(-21)/2 and w - ((-1896)/(-28))/(-6).
140
Let g = -143773/12 - -11991. What is the common denominator of g and 34/9?
36
Suppose 9*s - 2 = 2*b + 6*s, -8 = 4*b - 4*s. Calculate the lowest common multiple of 16 and -2 - (16/b + -12).
112
Suppose 0 = 3*b - 5*m + 22, -2 = 3*b - 2*m + 5. What is the common denominator of b and 7*(-14)/(-8) - (3 - 1)?
4
Let g be 18 + (4 + -10)/(6/4). Calculate the common denominator of (g/(-15))/(22/(-10) + 3) and (-171)/(-35) - (-4)/(-14).
30
Let q be (3/4)/((-8)/(-10656)). What is the common denominator of -33/4 and q/(-36) + (-6)/8?
4
Let w(q) = -q**2 - q + 4. Suppose x = -x. Let k be w(x). Calculate the lowest common multiple of (-1)/k + (-195)/(-12) and 6.
48
Let g = 90 - 84. Suppose 0*n = 5*n - 20. Suppose 0 = -5*y + n*y + 11. Calculate the least common multiple of y and g.
66
Suppose -2*x + 18 = -0*a - 5*a, 5*a + 10 = 0. Suppose -3*r - 16 = -x. What is the common denominator of 44/3 and -4 - (156/(-10) - r)?
15
Calculate the common denominator of -2 + 1 + 9/(-14) and (9/8)/((-572)/(-624)).
154
Find the common denominator of -109/108 and (-4)/(-10) + ((-60709)/7260 - -9).
1188
Let c(r) = -1 + 4 + r - 7 + r**2. What is the smallest common multiple of 8 and c(-3)?
8
Let g(n) = -n**2 + 10*n - 17. Let d be g(8). Let z(u) = -u**2 - u + 4*u**2 + 14 - 13. What is the smallest common multiple of z(d) and 17?
85
Let h be 63/18*88/14. Suppose 4*l - h = 50. Let g = l - 0. Calculate the least common multiple of 2 and g.
18
What is the smallest common multiple of 35 and -1 + 7 + (23 - 1)?
140
Let g = -177999/34 - -5237. Find the common denominator of g and 29/22.
374
Let b = 115 + 40. Suppose -5*d - 4*s + s + b = 0, s = 0. Let p = 16 - d. Find the common denominator of -19/5 and p.
5
Let j = -602/11 + 14437/264. Find the common denominator of j and -13/12.
24
Let n = -309254/5 + 62377. Let p = n + -84437/160. Calculate the common denominator of p and (-15)/(-8)*(-1 + -5).
32
Let x(w) = -w**3 - 14*w**2 + 7. Let z = 42 + -29. Calculate the smallest common multiple of x(-14) and z.
91
What is the lowest common multiple of 5 and ((-32)/(-5) + -1)/(4/40)?
270
Suppose -10093 = -8*g + 7355. Let x be (1700/(-66))/(4/g). Let n = x + 14040. What is the common denominator of 73/26 and n?
286
Suppose -2*o = -3*p - 21, 9 + 11 = -p + 5*o. Calculate the common denominator of 143/36 and (p - (-212)/72) + -1.
36
Suppose -24 = 4*a + 4*y, 3*a = -0*a - 4*y - 22. Let g be (26/(-4))/(1/a). What is the common denominator of g/6 - 45/(-30) and -73/14?
42
Calculate the common denominator of -35/48 and (-6165)/(-2160) + -1*4.
48
Let o(t) = -t**2 + 9*t - 10. Let f be o(7). Suppose f*k = -k + 4145. What is the common denominator of k/(-36) + (-12)/54 and -131/18?
36
Let n = 193 - 6359/33. Calculate the common denominator of n and 7/12.
132
Suppose 0 = -6*l + 3*l + 6. Let r(g) = -1 + 7*g**2 - 2*g**2 + 4*g**2. What is the smallest common multiple of l and r(-1)?
8
Let t = 30 + -21. Suppose -l - b + 1 = -t, 20 = 2*l - b. Let k = -275 - -285. What is the smallest common multiple of l and k?
10
Let l = -3208 - -12735/4. What is the common denominator of 27/8 and l?
8
Suppose 0 = -315*a + 310*a + 850. Calculate the common denominator of 7/24 and (2/(20/(-94)))/(272/a).
24
Let k = 28/3 + -9. What is the common denominator of 15/90 + (-47)/(-2) and k?
3
Find the common denominator of (-291)/(-27) - 11 - (-235)/909 and -10/11.
3333
Suppose 504 = -67*z + 73*z. What is the least common multiple of z and 98?
588
Find the common denominator of (15/(-100))/((-6)/(-436)) and 10/(-8) - (-11934)/(-312).
10
Suppose -2*z + 2 = 0, 5*z = -p + 292 + 211. Suppose -6*b + 0*b = -p. What is the least common multiple of b and 9?
747
Let f(o) = 13*o**2 + 78*o + 7. Let p be 3/(-9)*-5*3. Suppose 28 = 4*q + 4*d, -2*d + 5*d = p*q - 11. Calculate the least common multiple of f(-6) and q.
28
Suppose -2*q - 12 = -q. Find the common denominator of 55/26 and 169/q + 21/9 + -3.
52
Let r(o) = o**2 - 5*o + 3. Let i be r(6). Suppose 5*u + 5*m = 0, -5*m - 21 = -5*u + i. Calculate the least common multiple of u and -1 - (-8 + (0 - 2)).
9
Let s = -21 - -22. Let a(r) = -2*r**2 - 2*r - 3. Let q be a(-2). Let x(b) = -b + 3. What is the smallest common multiple of s and x(q)?
10
Let t = -3 - -14. What is the common denominator of 7/26 and (206 + 0)*t/308?
182
Let h(j) = -2*j**3 - 13*j**2 + 3*j - 6. Let p be h(-6). Calculate the common denominator of -4/33 and (2 + p/32)*-150.
132
Let y(l) = -l**2 - 16*l - 22. Let z(t) = t + 1. Let u(k) = -y(k) - 4*z(k). Suppose 43 + 17 = -5*j. What is the least common multiple of u(j) and 6?
18
Let o = -55935531/10 + 5589072. Let p = -4488 - o. Calculate the common denominator of p and 3*(62/20 + -3).
10
Let k be 403258/72*(-4)/(-2). Let m = 11197 - k. Calculate the common denominator of 43/12 and m.
36
Let s(o) = -15*o**3 + o**2 + o + 1. Let k(u) = -6*u + 2. Let j be k(3). Let g = j + 15. What is the lowest common multiple of s(g) and 14?
112
Let f(n) = 3*n**3 - 4*n**2 + 3*n. Let t be f(2). Let w = t + -9. Calculate the smallest common multiple of w and 9.
45
Let y = -15 + 15. Let c = 42713/56 + -5256/7. What is the common denominator of 29/(-7) + (y - -3) and c?
56
Suppose -4*n + t - 8 = 0, t - 5 = n + 2*n. What is the least common multiple of 10 and (-1 + 7)*n/(-2)?
90
Calculate the common denominator of (-3)/((-180)/(-142)) + (-2)/3 and 59/20.
60
Suppose 495 + 19918 = s. Let o = s - 362983965/17782. Let i = o + 702379/177820. Calculate the common denominator of i and 13/20.
20
Let g = 149 + -148. What is the lowest common multiple of (-1)/((-3)/24) - -2 and g?
10
Let f = 533957/24 + -22245. Calculate the common denominator of f and -85/48.
48
Let b(j) = -7*j + 96. What is the smallest common multiple of b(10) and 2?
26
Let m = 3203 - 3187. Let j(r) = 8*r**2 - 2*r. What is the smallest common multiple of m and j(2)?
112
Calculate the common denominator of 45/2 + (-69)/23 and 0/(-1) + 53/12.
12
Let m be (0 + 1)/((-4)/(45 - 1)). Calculate the common denominator of 2/m + 3098/(-264) and 109/26.
156
Suppose 4*x - 12 = -0*x. Suppose -x*z + 1 - 73 = 0. Find the common denominator of -13/9 and z.
9
Let s(a) = -15*a**3 + a**2 + 3*a + 2. Let m be s(-2). What is the common denominator of 52/5 and 2 + 1 - (-525)/m?
40
Let j = -300120431 - -57023102029/190. Let y = -5788/5 + j. What is the common denominator of 23/10 and y?
190
Suppose 3*v - 1 = -25. Let j be (2/v)/(800/24). Let f = j + 20609/1200. What is the common denominator of f and -113/6
|
{
"pile_set_name": "DM Mathematics"
}
|
arest 1000?
3000
What is -0.000005674 rounded to six decimal places?
-0.000006
Round 0.062616 to 4 dps.
0.0626
What is -1845.1 rounded to the nearest one hundred?
-1800
What is 10948 rounded to the nearest one thousand?
11000
What is -458300 rounded to the nearest 100000?
-500000
Round -3208000 to the nearest one hundred thousand.
-3200000
What is 0.000017231 rounded to 7 dps?
0.0000172
Round 0.000183807 to 7 decimal places.
0.0001838
Round -784700 to the nearest 100000.
-800000
Round -0.048563 to 3 decimal places.
-0.049
What is -5440000 rounded to the nearest 100000?
-5400000
What is 52800000 rounded to the nearest one million?
53000000
Round -0.096016 to 2 decimal places.
-0.1
What is 21.24 rounded to 0 dps?
21
What is 0.000000587208 rounded to seven decimal places?
0.0000006
What is -928000 rounded to the nearest one hundred thousand?
-900000
What is -0.13695 rounded to 3 decimal places?
-0.137
What is 8104 rounded to the nearest one thousand?
8000
What is -5345 rounded to the nearest 100?
-5300
What is -2411 rounded to the nearest one hundred?
-2400
What is -275400 rounded to the nearest 10000?
-280000
Round -103500 to the nearest 1000.
-104000
What is 44351000 rounded to the nearest one hundred thousand?
44400000
Round 0.00010988 to 5 dps.
0.00011
Round -0.12493 to two decimal places.
-0.12
What is -2.1713 rounded to 2 decimal places?
-2.17
What is -0.0001826 rounded to five decimal places?
-0.00018
What is 0.0005027 rounded to 5 decimal places?
0.0005
Round -10320 to the nearest one hundred.
-10300
What is 59450000 rounded to the nearest 1000000?
59000000
What is 358.2 rounded to the nearest 10?
360
What is -8.076 rounded to 0 decimal places?
-8
What is -0.00002688 rounded to six dps?
-0.000027
What is 0.000000817 rounded to six decimal places?
0.000001
Round 0.000757 to 4 dps.
0.0008
What is 35496000 rounded to the nearest 100000?
35500000
What is 1028.55 rounded to the nearest 10?
1030
What is -0.0000040954 rounded to 7 dps?
-0.0000041
What is 0.00401 rounded to 3 decimal places?
0.004
What is -0.00006415 rounded to six decimal places?
-0.000064
What is -0.0024 rounded to three dps?
-0.002
What is -0.00002224 rounded to six dps?
-0.000022
What is 0.09792 rounded to 3 dps?
0.098
Round -3940 to the nearest one thousand.
-4000
Round 0.002319 to 3 decimal places.
0.002
What is -1.5385 rounded to 1 dp?
-1.5
What is -19.6069 rounded to one dp?
-19.6
Round -12030000 to the nearest 1000000.
-12000000
Round -0.0015284 to four decimal places.
-0.0015
Round 0.110038 to 3 dps.
0.11
What is -8664900 rounded to the nearest 10000?
-8660000
What is 37.83 rounded to the nearest integer?
38
What is -0.00000041094 rounded to 7 decimal places?
-0.0000004
What is -0.624 rounded to 2 dps?
-0.62
What is 0.935 rounded to one dp?
0.9
Round -173872 to the nearest 1000.
-174000
What is 0.14826 rounded to two decimal places?
0.15
What is -10.8933 rounded to two dps?
-10.89
What is 181890 rounded to the nearest ten thousand?
180000
Round -0.4967 to one decimal place.
-0.5
Round -0.0000007773 to seven decimal places.
-0.0000008
Round 8.5076 to 1 dp.
8.5
What is -0.0015359 rounded to five decimal places?
-0.00154
What is 3420.1 rounded to the nearest 10?
3420
Round 4472.3 to the nearest ten.
4470
What is 0.00000532645 rounded to seven decimal places?
0.0000053
Round -999500000 to the nearest one million.
-1000000000
Round -4853.1 to the nearest ten.
-4850
What is 2.159 rounded to the nearest integer?
2
What is 438.2 rounded to the nearest 10?
440
Round -35850 to the nearest 1000.
-36000
Round -3820000 to the nearest one million.
-4000000
Round -146700 to the nearest 10000.
-150000
Round -0.00001262 to 5 decimal places.
-0.00001
What is 16.997 rounded to the nearest 10?
20
What is -689.4 rounded to the nearest one hundred?
-700
What is 0.0005841 rounded to five dps?
0.00058
Round 0.000271924 to six decimal places.
0.000272
Round 0.0006314 to 3 decimal places.
0.001
What is -1.0431 rounded to one decimal place?
-1
What is -2.318 rounded to 1 decimal place?
-2.3
What is 800000 rounded to the nearest one million?
1000000
What is -0.0070929 rounded to five dps?
-0.00709
Round -0.000030982 to six decimal places.
-0.000031
Round -39800 to the nearest ten thousand.
-40000
What is 0.000021571 rounded to 6 decimal places?
0.000022
What is -144.336 rounded to the nearest one hundred?
-100
Round 0.000005855 to 7 dps.
0.0000059
Round 1896000 to the nearest ten thousand.
1900000
What is 154.015 rounded to the nearest integer?
154
What is -186800 rounded to the nearest 1000?
-187000
What is -178.895 rounded to the nearest integer?
-179
What is -0.04442 rounded to 3 dps?
-0.044
What is 1.9064 rounded to 1 dp?
1.9
Round -0.000000677 to 7 dps.
-0.0000007
What is -0.00001542 rounded to six decimal places?
-0.000015
Round -0.0006185 to five decimal places.
-0.00062
Round 729000 to the nearest one hundred thousand.
700000
Round -11513600 to the nearest 100000.
-11500000
What is 5316.8 rounded to the nearest 100?
5300
Round 0.000001771 to seven decimal places.
0.0000018
What is 18.16 rounded to the nearest ten?
20
Round 78770 to the nearest one thousand.
79000
Round -0.0000182251 to 7 decimal places.
-0.0000182
Round -316.41 to the nearest ten.
-320
Round -13.3 to the nearest integer.
-13
Round -910000 to the nearest 100000.
-900000
Round 0.054673 to 2 decimal places.
0.05
What is -12818900 rounded to the nearest one million?
-13000000
What is -0.0000034628 rounded to seven dps?
-0.0000035
Round 0.05006 to two dps.
0.05
Round 154.51 to 0 dps.
155
What is 1644 rounded to the nearest 10?
1640
What is -8523000 rounded to the nearest one hundred thousand?
-8500000
Round 0.0094016 to 4 dps.
0.0094
What is -0.00004547 rounded to 6 decimal places?
-0.000045
Round 810.66 to the nearest 100.
800
What is -0.0000024402 rounded to 7 dps?
-0.0000024
Round -0.00844 to 3 dps.
-0.008
Round 0.0001538 to 6 decimal places.
0.000154
Round 0.00007568 to five decimal places.
0.00008
Round -9383800 to the nearest one million.
-9000000
What is -7036000 rounded to the nearest 1000000?
-7000000
Round -0.269912 to 2 decimal places.
-0.27
What is 0.1236 rounded to two decimal places?
0.12
Round 0.00000492 to six dps.
0.000005
Round 45798200 to the nearest 1000000.
46000000
Round -0.873 to two decimal places.
-0.87
Round 0.00000663 to six dps.
0.000007
What is 0.0004515 rounded to 4 decimal places?
0.0005
Round -0.0050111 to four decimal places.
-0.005
What is 0.000123 rounded to 5 decimal places?
0.00012
Round 0.0002736 to four dps.
0.0003
What is 0.000010982 rounded to 6 decimal places?
0.000011
Round -0.0000009542 to 7 decimal places.
-0.000001
What is -0.0126568 rounded to 4 decimal places?
-0.0127
Round 0.003225 to 4 dps.
0.0032
What is -2237400 rounded to the nearest one hundred thousand?
-2200000
Round 0.0004448 to 4 decimal places.
0.0004
Round 0.67683 to three dps.
0.677
Round 0.022229 to 4 dps.
0.0222
What is -0.029886 rounded to two decimal places?
-0.03
What is 8866 rounded to the nearest 1000?
9000
What is 0.0006588 rounded to four decimal places?
0.0007
What is -321900 rounded to the nearest 100000?
-300000
Round -0.000014109 to six dps.
-0.000014
Round 447510000 to the nearest 1000000.
448000000
Round -0.06023 to 3 dps.
-0.06
What is 0.0000061886 rounded to seven dps?
0.0000062
Round -327290 to the nearest one thousand.
-327000
What is -0.00735 rounded to four decimal places?
-0.0074
What is 4.67 rounded to zero dps?
5
Round 1.24439 to two decimal places.
1.24
Round 1961200 to the nearest one hundred thousand.
2000000
Round 0.0000167 to 6 decimal places.
0.000017
What is -21080 rounded to the nearest 1000?
-21000
What is -0.00320945 rounded to four decimal places?
-0.0032
Round 23.09 to the nearest integer.
23
What is 0.0044811 rounded to 3 decimal places?
0.004
Round -1567.51 to the nearest one hundred.
-1600
Round 0.1259 to three dps.
0.126
What is -46.93 rounded to the nearest ten?
-50
What is 8557800 rounded to the nearest 100000?
8600000
Round -801 to the nearest one hundred.
-800
What is -0.08422 rounded to 3 decimal places?
-0.084
What is -153040 rounded to the nearest 10000?
-150000
Round 1437100 to the nearest one hundred thousand.
1400000
Round 0.00010744 to six dps.
0.000107
Round 133
|
{
"pile_set_name": "DM Mathematics"
}
|
d the third derivative of k(b) wrt b.
-4782
Let q(c) be the first derivative of 3793*c**4/4 + 484*c - 2105. Find the first derivative of q(y) wrt y.
11379*y**2
Let x(l) = -9*l**2 + l - 35. Let c(k) = k - 11*k**2 - 3 - 10 + k - 17 - 5. Let r(m) = -3*c(m) + 4*x(m). Differentiate r(w) with respect to w.
-6*w - 2
Let h(b) be the first derivative of 554*b**4 + 5588*b - 3638. Differentiate h(v) with respect to v.
6648*v**2
Let g(i) be the second derivative of 2*i**6/15 + 97*i**3/3 + 3975*i**2/2 + 3098*i. Find the first derivative of g(a) wrt a.
16*a**3 + 194
Suppose 76 = 25*n - 49. Suppose -8 = -5*w + 12. What is the second derivative of 21*f**4 + 22*f - 6*f**w + 5*f**3 - n*f**3 wrt f?
180*f**2
Let t(n) = 8918*n - 27159. Let i(r) = -14863*r + 45271. Let o(k) = 7*i(k) + 12*t(k). What is the derivative of o(a) wrt a?
2975
Let b = -1857 - -1860. Let s(v) be the third derivative of 1/5*v**5 + 0*v**b + 0*v + 1/30*v**6 + 0 + 0*v**4 - 2*v**2. Find the third derivative of s(g) wrt g.
24
Let j(v) = -21346*v + 26 + 21387*v + 17. Let z(t) = 38*t + 44. Let h(x) = -3*j(x) + 2*z(x). Differentiate h(b) wrt b.
-47
Let b(v) = v**4 - 10*v**3 + 560*v**2 - 14643. Let f(i) = i**4 - 3*i**3 + 187*i**2 - 4881. Let g(y) = -2*b(y) + 7*f(y). Differentiate g(l) with respect to l.
20*l**3 - 3*l**2 + 378*l
Let d = -59 + 144. Suppose -x - 4*x = -d. What is the first derivative of 9*g + 2*g - g - x wrt g?
10
Let w(m) = -9*m - 1. Let l be w(10). Let v = 153 + l. What is the third derivative of -u**2 - 62*u - 25*u**4 + v*u wrt u?
-600*u
Let v = 557 + -555. Find the third derivative of 215*o**2 + 4*o**3 - 294*o**v + 1 - 27*o**3 - 1 wrt o.
-138
Let g(k) = -5*k - 2*k**2 - k**2 + 27 - 23*k**2 - 9*k**2. Let t(a) = 5*a - 3 - 3*a + 17*a**2 - 11. Let w(b) = -2*g(b) - 5*t(b). Differentiate w(u) wrt u.
-30*u
Let w(v) = 926*v + 111. Let y(i) = 1858*i + 218. Let q(f) = -5*w(f) + 3*y(f). Differentiate q(z) wrt z.
944
Let z = 3129 + -2228. Find the first derivative of 169 - 842*x - z*x + 1684*x wrt x.
-59
Let g(p) = 11 + 4 + 50*p - 44*p. Let f be g(12). Differentiate -13 + 14*v**4 - f*v**4 + 49*v**4 with respect to v.
-96*v**3
Let o(q) be the first derivative of 2903*q**2/2 - 1228*q - 1086. Find the first derivative of o(t) wrt t.
2903
Let f(g) be the first derivative of -46*g**5 + 3962*g**3/3 + 2173. Find the third derivative of f(k) wrt k.
-5520*k
Let q(v) = -6*v**4 + v**3 + v**2. Let i(l) = -174*l**4 + 4*l**3 + 2238*l**2. Let o(r) = -2*i(r) + 6*q(r). What is the third derivative of o(x) wrt x?
7488*x - 12
Let d(o) be the first derivative of 31/5*o**5 + 0*o**2 - 18*o**3 + 0*o + 0*o**4 - 33. What is the third derivative of d(z) wrt z?
744*z
Let c(u) = -2032*u**2 - 501*u + 9. Let i(z) = 1010*z**2 + 250*z - 4. Let h(v) = -2*c(v) - 5*i(v). Find the second derivative of h(k) wrt k.
-1972
Suppose -76 = -4*q - w, 0 = 7*w - 10*w. Differentiate q + 44*x + 74*x + 33*x wrt x.
151
Suppose 33 = 3*d - 3*t, d + 67 = 6*d + t. What is the second derivative of d - 2 - 393*x**5 + 383*x**5 - 2*x wrt x?
-200*x**3
Let g(k) be the first derivative of 245*k**6/3 + 299*k**3/3 - 389. Find the third derivative of g(y) wrt y.
29400*y**2
Let y(z) = -19*z**2 - 8*z + 141. Let x be -2 + 3 + -1 + 2. Let o(m) = 9*m**2 + 4*m - 70. Let b(w) = x*y(w) + 5*o(w). Find the first derivative of b(h) wrt h.
14*h + 4
Let w(q) be the first derivative of 2*q + 47/4*q**4 - 7/2*q**2 + 15 + 0*q**3. What is the second derivative of w(p) wrt p?
282*p
Let p(l) = -2634*l**3 + 10*l**2 + 5*l - 3393. Let d(u) = 1313*u**3 - 4*u**2 - 2*u + 1696. Let v(f) = -5*d(f) - 2*p(f). Differentiate v(g) wrt g.
-3891*g**2
Let d(t) = 1897*t**4 + 40*t**3 + 10*t**2 + 2679*t + 30. Let x(z) = 4*z**3 + z**2 + z + 3. Let m(y) = d(y) - 10*x(y). Find the second derivative of m(i) wrt i.
22764*i**2
Suppose -139 = -3*w - 3*l + 374, 0 = 5*w - 3*l - 855. What is the third derivative of -187*c**3 + 3*c**2 - 12*c**2 - 46*c**2 + w*c**3 - 2*c**6 wrt c?
-240*c**3 - 96
Find the second derivative of 5*c**5 - 69725*c + 2 + 3 + 4*c**3 - 5 + 69271*c wrt c.
100*c**3 + 24*c
Let h(y) = -5303*y**2 + 4194*y + 3. Let k(t) = 5300*t**2 - 4201*t - 4. Let s(u) = 4*h(u) + 3*k(u). What is the second derivative of s(w) wrt w?
-10624
Suppose 0 = 5*s + 16*z - 13*z - 852, -4*z - 4 = 0. Suppose -6 - 2 = -2*o. Find the second derivative of 5*a + 188*a**4 - s*a**o + 10*a wrt a.
204*a**2
What is the derivative of -809 - 1103 - u - 14 + 475*u**2 + u wrt u?
950*u
Let t(f) = f - 1. Suppose -3*z - 3 = -66. Let s = z - 15. Let y(c) = 19*c**4 + 6*c - 29. Let x(w) = s*t(w) - y(w). What is the first derivative of x(j) wrt j?
-76*j**3
Let b(t) be the first derivative of -4*t**5/5 - 449*t**4/2 - 27*t**3 - 8*t + 3146. What is the third derivative of b(s) wrt s?
-96*s - 5388
Find the third derivative of -5511*z**4 - 2766*z**4 + 310*z - 55*z**2 - 95*z**2 + 151*z**2 wrt z.
-198648*z
Let k(d) = -2029*d - 1333. Let q(l) = -22*l - 1. Let g(m) = k(m) + 6*q(m). What is the derivative of g(t) wrt t?
-2161
Let g be 2*8 + 27 + -32. What is the third derivative of -13*p**5 + 34*p**5 - g*p**4 - 20*p**2 - 3*p**6 - 21*p**5 wrt p?
-360*p**3 - 264*p
Let z(r) = -2341*r**2 + 11*r + 1. Let u(j) = -2330*j**2 + 16*j + 2. Let a(c) = 5*u(c) - 4*z(c). Find the second derivative of a(v) wrt v.
-4572
Let o(x) be the first derivative of -96*x**4 - 45*x + 1353. What is the first derivative of o(u) wrt u?
-1152*u**2
What is the derivative of 20*m**2 - 27*m**2 + 25*m**2 + 9 + 8*m**3 + 5*m**2 - 557 wrt m?
24*m**2 + 46*m
Find the third derivative of -7*w**5 + 7*w**2 + 707*w - 5*w**2 - 3*w**5 - 705*w**4 - 87*w**4 + 8*w**5 wrt w.
-120*w**2 - 19008*w
Suppose -42*x - 20284 = -94834. What is the derivative of -57 - 1528*i - 68 + x*i wrt i?
247
Let w(m) be the third derivative of 277*m**7/210 + m**5/10 - 4504*m**3/3 - 97*m**2 + 53. Differentiate w(i) with respect to i.
1108*i**3 + 12*i
Find the third derivative of -4555707*z**5 + 6*z**3 + 2*z**2 - 3*z**2 + 2*z**2 - 2510 + 4555706*z**5 - 52*z**4 wrt z.
-60*z**2 - 1248*z + 36
Let k be 156/45 - 48/60. Let r(x) be the third derivative of 18*x**2 + 0*x**4 + 0*x + 0 - 11/60*x**5 - k*x**3. Differentiate r(g) with respect to g.
-22*g
Let l(f) = f**2 - f. Let s(r) = 232*r**3 - 12*r**2 + 6*r + 7. Suppose -10*x + 0*x = -10. Let h(a) = x*s(a) + 6*l(a). What is the third derivative of h(c) wrt c?
1392
Suppose -3*p = o - 20, 34 + 2 = 3*p - 3*o. Differentiate -p - 61 + 58*z + 2*z with respect to z.
60
Suppose 12*g - 7*g = -235. Let p = g + 66. Find the first derivative of -19 - 38*w**3 + 15*w**3 + p*w**3 wrt w.
-12*w**2
Let g(m) be the first derivative of -36*m**7/7 + 3*m**6/2 - 489*m**3 + 1450. What is the third derivative of g(l) wrt l?
-4320*l**3 + 540*l**2
Differentiate -56519*j**4 - 45*j**3 - 4569 + 56517*j**4 + 2*j - 22*j**3 with respect to j.
-8*j**3 - 201*j**2 + 2
Let g(w) be the second derivative of 7/60*w**5 - 11/6*w**3 + 0*w**4 - 17*w + 0 + 12*w**2. Let p(o) be the first derivative of g(o). Differentiate p(l) wrt l.
14*l
Differentiate -w + 1154 + 13*w**3 + w**2 + 0*w**2 - 1320 - w**2 wrt w.
39*w**2 - 1
Let f(n) be the first derivative of n**7/10 + 67*n**3/3 + 2*n**2 + 8*n - 71. Let w(c) be the second derivative of f(c). Differentiate w(i) wrt i.
84*i**3
Let c(p) be the first derivative of -10606*p**5/5 + 5*p**3/3 - 173*p + 1601. What is the third derivative of c(w) wrt w?
-254544*w
Let g(f) = -58*f**3 - 10*f**2 + 4*f - 5556. Let r(o) = 233*o**3 + 44*o**2 - 17*o + 22224. Let b(c) = -9*g(c) - 2*r(c). Differentiate b(p) wrt p.
168*p**2 + 4*p - 2
Let c(t) be the first derivative of -208*t**5/5 - 16*t**3/3 + 2320*t**2 - 9643. What is the second derivative of c(b) wrt b?
-2496*b**2 - 32
Let h(v) = 987*v + 344. Let x(l) = 138*l + 6 + 63 - 116*l + 175*l. Let a(w) = -2*h(w) + 11*x(w). What is the derivative of a(z) wrt z?
193
Let i(x) be the second derivative of 287*x**4/12 - 503*x**3/3 + 3*x - 79. What is the second derivative of i(r) wrt r?
574
Let m(u) be the first derivative of 1203*u**7/7 - 64*u**3 - u**2 + 1501. What is the third derivative of m(y) wrt y?
144360*y**3
Let y be 4/1 + (-3)/(12/(-172)). Find the first derivative of 17*k**4 + 2*k**3 + 32 + 70 - y wrt k.
68*k**3 + 6*k**2
Let v = -1261 + 2220. What is the second derivative of h**5 + 965*h**2 + 11*h**5 + 2*h - 15 - v*h**2 wrt h?
240*h**3 + 12
Suppo
|
{
"pile_set_name": "DM Mathematics"
}
|
ive of 225*a*d**2*p + 3*a*d*p**3 + 2*d**2*p**2 + 2*d*p**3 wrt a.
225*d**2*p + 3*d*p**3
Find the second derivative of 22884*l**2 + 19166*l.
45768
Find the second derivative of -n**5*z + 4560*n**3*z**3 + 1006*n*z**3 - 2*z**3 - 2*z**2 wrt n.
-20*n**3*z + 27360*n*z**3
What is the derivative of 30*h**2*v + h**2 - 32*v wrt h?
60*h*v + 2*h
What is the derivative of -76*m*p**2*w - 4*m*p*w**2 + 2*p**2 - p*w + 125*w**2 wrt m?
-76*p**2*w - 4*p*w**2
Find the third derivative of 2*c**5*v - 261*c**4*v**3 - c**2*v**3 - 51*c**2*v + c*v**3 wrt c.
120*c**2*v - 6264*c*v**3
Find the third derivative of -728*c**4 + 1869*c**2 wrt c.
-17472*c
Find the first derivative of -2*n**2*s - 137*n**2 - 4*s + 1205 wrt n.
-4*n*s - 274*n
What is the third derivative of -2*c*o**3 + 82*c*o*z**3 - 11*c*o*z + 7*o**3*z**3 + 30*o**2*z**2 wrt z?
492*c*o + 42*o**3
What is the second derivative of 199*p**4 + 2*p**3 - 7*p**2 - 205*p + 34?
2388*p**2 + 12*p - 14
Differentiate 2*h**2*v + 651*h**2 + 397*h*v**3 + v with respect to v.
2*h**2 + 1191*h*v**2 + 1
Differentiate -6*b**3*v - 324*b**3 - 143*b**2*v**2 - 3*b**2 + 1 with respect to v.
-6*b**3 - 286*b**2*v
Differentiate 677*j*p**3 + 327*p**3 wrt j.
677*p**3
What is the second derivative of -c**3*w - 2*c**3 - 93*c**2 + 3639*c*w wrt c?
-6*c*w - 12*c - 186
What is the third derivative of -a**3*m*s**2 - 2*a**3*m*s - 117*a**3*s**3 - 3*a**2*m - 10*a**2 - a*m*s**3 - m*s**2 wrt a?
-6*m*s**2 - 12*m*s - 702*s**3
Find the second derivative of 18*j*t**4 + 3*j + 3*t**4 - t - 11 wrt t.
216*j*t**2 + 36*t**2
What is the derivative of 835*m**3 + 2*m**2 + 2*m - 10079?
2505*m**2 + 4*m + 2
What is the derivative of -3509*i**3*n - 3*i**3 + i - 2*n**4 + 143 wrt n?
-3509*i**3 - 8*n**3
What is the third derivative of 105*f**6 - 5*f**3 + 4840*f**2 wrt f?
12600*f**3 - 30
Find the second derivative of -3*d*z**3 - 6*d*z**2 + 4*d*z - 2*z**3 - 4*z - 6 wrt z.
-18*d*z - 12*d - 12*z
Find the third derivative of -b**2*m**2*y**3 - b**2*m**2*y**2 + 2*b**2*m**2 - 5*b**2*m*y - 362*b*m**2*y**3 + 2*m**2*y**2 wrt y.
-6*b**2*m**2 - 2172*b*m**2
What is the second derivative of -277*b*m**2 + 2*b*m - 38 wrt m?
-554*b
Find the second derivative of -629*i*t**2 - 149*i*t wrt t.
-1258*i
Differentiate -4*h*m*u**3*y - 2*h*m*y + 2*h*u**3 + 2*h*y + 2*m*u**3*y - u**2 + u*y with respect to m.
-4*h*u**3*y - 2*h*y + 2*u**3*y
Differentiate -2226*k**2 + 1238.
-4452*k
What is the first derivative of -136*l*v - 94*v wrt l?
-136*v
What is the third derivative of 5*j**4 - 95*j**3 + 11*j**2 + 30 wrt j?
120*j - 570
What is the first derivative of -9*h**4*l**2 + 2*h**2*l**2 - 128*l**2 wrt h?
-36*h**3*l**2 + 4*h*l**2
What is the third derivative of -308*m**3 + 174*m**2?
-1848
What is the third derivative of -171*l**5*z**3 - 2*l**4 + 10*l**2*z**3 - 39*l**2*z + 2*z wrt l?
-10260*l**2*z**3 - 48*l
Find the third derivative of 27*i**5 + 23*i**4 + 2967*i**2 wrt i.
1620*i**2 + 552*i
What is the third derivative of 228*l*q**3 + 4*l*q**2 - 36*q**6 - 4*q**2 + 77 wrt q?
1368*l - 4320*q**3
Find the third derivative of 2*o*w**6 - 3*o*w**3 - 1028*o*w**2 - 81*w**6 wrt w.
240*o*w**3 - 18*o - 9720*w**3
Find the second derivative of 455*a**5 + a**4 + 2*a**2 - 2*a + 3550 wrt a.
9100*a**3 + 12*a**2 + 4
Find the third derivative of 1025*v**3 + 104*v**2 - 2.
6150
Find the third derivative of 611*m**6 - 967*m**2.
73320*m**3
Find the second derivative of 415*i*y**2 + 120*i*y wrt y.
830*i
What is the second derivative of -15202*x**2 - x + 20?
-30404
Find the second derivative of 83*a**5*c - 2*a + 36*c + 2 wrt a.
1660*a**3*c
What is the second derivative of -14*u**5 + 17*u**4 + u + 130 wrt u?
-280*u**3 + 204*u**2
What is the derivative of -7054*k**3*s + 35*k**3 - 73*k**2 wrt s?
-7054*k**3
Find the first derivative of 1074*n**3 + 1794 wrt n.
3222*n**2
Find the third derivative of -157*f**4*i**2 + 3*f**4 - 2*f**2*i**2 + 62*f*i**2 + 5*i wrt f.
-3768*f*i**2 + 72*f
Find the third derivative of 3*l*o**4*y + 10*l*o**3 - 210*l*o**2*y + y wrt o.
72*l*o*y + 60*l
What is the second derivative of -15*c**3*g**2 - 3*c**3 - 4*c**2*g*y - 2*c*g**3*y + 6*c*g**3 - 3*c*g*y - c*y wrt g?
-30*c**3 - 12*c*g*y + 36*c*g
Find the third derivative of 73*g*k**3*q**2 - 4*g*k**3*q*y - 4*g*k**3*q - 2*g*k**2*q**2*y + g*k**2*q*y - 2*g*k**2 + g*k*q**2*y + 5*g*q**2 + 2*k*q**2 wrt k.
438*g*q**2 - 24*g*q*y - 24*g*q
What is the second derivative of -10*l**5 + 170*l**3 - l - 265?
-200*l**3 + 1020*l
What is the derivative of -530*t**3 - 498?
-1590*t**2
What is the third derivative of 89*f**6 - 3*f**3 + 5*f**2 - 31*f?
10680*f**3 - 18
What is the derivative of 432*u**4*x**2 - 2*u**2*x**3 - 128*x**3 - 2 wrt u?
1728*u**3*x**2 - 4*u*x**3
What is the second derivative of 507*v**2 + 2*v + 1113 wrt v?
1014
What is the third derivative of 10*r**2*x**3 - r**2*x**2 + 238*r**2*x - 21*r*x**6 + r*x**2 wrt x?
60*r**2 - 2520*r*x**3
What is the second derivative of 3*s**3 - 5*s**2 - s - 213?
18*s - 10
What is the second derivative of -2*i**4*y + 3*i**3*y - 874*i**2*y - 27305*i*y wrt i?
-24*i**2*y + 18*i*y - 1748*y
Differentiate -5*b**2 - 9*b + 61 wrt b.
-10*b - 9
Differentiate -22054*j*n**2 - 17068*n**2 with respect to j.
-22054*n**2
What is the derivative of -2*a**2*r + 2*a*m + 3*a*r**2 - 4*a*r + m*r - 22*r**2 wrt a?
-4*a*r + 2*m + 3*r**2 - 4*r
What is the second derivative of -77*g**2 - 41*g?
-154
Find the third derivative of 26*o**3*t*y**3 - 2*o**3*t*y + 7*o**2*t*y**2 - 16*o*t*y**3 - 48*o*t*y**2 + 2*o*y**3 - 2*o wrt y.
156*o**3*t - 96*o*t + 12*o
Find the second derivative of 2*i**3 + 7*i**2*s**2 - 165*i**2*s + i*s**2 + 2*i*s - 819 wrt i.
12*i + 14*s**2 - 330*s
What is the first derivative of 283*n*w**2 - 37*w**2 - 2*w wrt n?
283*w**2
Differentiate -1834*u*w**4 + 824*u with respect to w.
-7336*u*w**3
What is the second derivative of -2*a**3 + 29*a**2*f**2*i + 13*a**2*f**2 + a*f**2*i + 4*a*f - a*i + 29*f**2*i wrt a?
-12*a + 58*f**2*i + 26*f**2
What is the second derivative of 12572*y**4 + 5601*y?
150864*y**2
Differentiate -301*g*w**2 - g*w - 23*g + 9 with respect to w.
-602*g*w - g
What is the third derivative of -52*b*k*t**3*y**3 - 2*b*k*t**3 - 2*b*k*t**2*y**2 - 11*b*k*t*y**3 + b*t**2*y**2 - 32*b*t**2*y - b*t**2 - t**3*y - 2*y**3 wrt y?
-312*b*k*t**3 - 66*b*k*t - 12
Find the second derivative of p**5 - 164*p**4 - 18*p**2 + 9026*p.
20*p**3 - 1968*p**2 - 36
Differentiate -2645*m**4*y**2 - 2*y**2 - 482 with respect to m.
-10580*m**3*y**2
Find the third derivative of -270*a**3*s**4 + 4*a**3*s**2 + 102*s**2 wrt s.
-6480*a**3*s
What is the third derivative of 867*x**4 + 300*x**2 - 1 wrt x?
20808*x
Find the first derivative of -1500*i - 78.
-1500
Find the second derivative of l**2*w**3 + 63*l**2*w - l**2 + 4*l*w**3 + 71*w**3 - 2*w wrt w.
6*l**2*w + 24*l*w + 426*w
What is the second derivative of -48*i**5 + 186*i wrt i?
-960*i**3
Find the third derivative of 3456*n**3*v**3 - 6*n**3*v - 10*n**2*v**2 wrt v.
20736*n**3
What is the second derivative of -26*f**3 + 2*f**2 + 110*f - 3 wrt f?
-156*f + 4
What is the second derivative of 342*s**3 + 15*s**2 + 6*s - 16 wrt s?
2052*s + 30
What is the second derivative of 2*m*q**3*z + 2*m*q*z - m*z**2 + 86*q**3*z**2 - 27*q*z wrt z?
-2*m + 172*q**3
Find the third derivative of -2578*a**2*m**5 - a**2*m**3*y - 3*a**2*m**2*y + 15*a**2*m*y + 80*a*m**2*y wrt m.
-154680*a**2*m**2 - 6*a**2*y
Find the first derivative of 12*g**2 + 3*g*u**2 - 160*u**2 - 2 wrt g.
24*g + 3*u**2
What is the second derivative of -718*i**3*u**2 - 2*i**3 + 30*i*u + i wrt u?
-1436*i**3
Find the second derivative of 43*d*g**3 + 7*d*g**2*z**2 - d*g*z - 3*d*g - d*z**2 - 11*g**3*z**2 + g**3 wrt z.
14*d*g**2 - 2*d - 22*g**3
What is the second derivative of 7*f**4 + 7*f**2*l**3 - 2*f*l**3 - f*l**2 + 12 wrt f?
84*f**2 + 14*l**3
What is the second derivative of 5*b**2*j**3 + 2*b**2*j**2 + 1607*b**2*j - 37*b*j**3 wrt j?
30*b**2*j + 4*b**2 - 222*b*j
What is the second derivative of o**5 + 99*o**4 + 4*o**2 - 4634*o?
20*o**3 + 1188*o**2 + 8
Find the second derivative of -1790*s**4 - 1154*s.
-21480*s**2
Find the second derivative of -78*i**5*z - i**4*z + 3*i**2 + 483*i*z + 1 wrt i.
-1560*i**3*z - 12*i**2*z + 6
What is the third derivative of -33*a**3*b*s**2 - 23*a**3*s**3 + 3*a**3*s - a**2*b*s + 11*b*s**3 wrt s?
-138*a**3 + 66*b
Find the third derivative of 1743*g**6*h**3 - 10*g**2*h**2 - 2*h**3 w
|
{
"pile_set_name": "DM Mathematics"
}
|
rt i?
180*i**2 + 576
Let i(x) = -1593*x - 1089. Let k(y) = 199*y + 136. Let w(p) = 4*i(p) + 33*k(p). What is the derivative of w(s) wrt s?
195
Let q(r) be the second derivative of -248*r**6/15 + 35*r**4/12 + 9*r**2/2 + 429*r. What is the third derivative of q(w) wrt w?
-11904*w
Suppose -4*a = -25 + 1. Suppose 5*x + 29 = o, -x + a*x + 37 = 3*o. Differentiate 1 + o*u + 3*u - u - 2*u with respect to u.
4
Suppose -3*s + 4*s - b = 26, 5*s + 2*b = 116. Let f = 5 + s. Find the third derivative of 7*p**3 + 4*p**2 + 29*p - f*p wrt p.
42
Let x(d) = 20*d**2 - 157*d - 4. Let t(y) = y**3 - 21*y**2 + 156*y + 5. Let f(h) = 4*t(h) + 5*x(h). What is the second derivative of f(b) wrt b?
24*b + 32
Let p(m) be the second derivative of -31/6*m**3 + 0*m**2 - 23/12*m**4 + 0 - 26*m. What is the second derivative of p(y) wrt y?
-46
Let v(d) be the second derivative of -31*d**8/56 + 61*d**4/6 - 97*d. Find the third derivative of v(r) wrt r.
-3720*r**3
Let z(t) be the second derivative of 13*t**6/60 - t**5/30 - 11*t**2/2 + 4*t. Let j(h) be the first derivative of z(h). Find the third derivative of j(w) wrt w.
156
Suppose -5*u - 2*u + 28 = 0. What is the first derivative of -18*n**u + 16 - 10 + 19 wrt n?
-72*n**3
Find the first derivative of 123 - 88*x**3 + 14*x**2 + x**2 - 15*x**2 wrt x.
-264*x**2
Let b(y) = 2*y**2 - 3*y - 4. Let x be b(3). Suppose x*s - 19 = 1. Find the first derivative of 2*i**s - 4 + 4 + 6*i**4 - 6 wrt i.
32*i**3
Suppose 2*v + 14 = 42. What is the second derivative of -v*k**2 - 1511*k + 1517*k + 20*k**2 + 30*k**2 wrt k?
72
Let a(b) be the third derivative of b**4/2 + b**3/6 - 2*b**2. Let n(o) = 25*o + 3. Let w(i) = -7*a(i) + 4*n(i). What is the derivative of w(z) wrt z?
16
Let o(v) = 56*v**2 + 5*v - 56. Let d(z) = 2*z**2 - z + 1. Let x(m) = -5*d(m) - o(m). Differentiate x(g) with respect to g.
-132*g
Let t(q) be the second derivative of 0*q**6 + 0*q**2 - 13/42*q**7 + 0*q**5 - 7/12*q**4 + 12*q + 0 + 0*q**3. What is the third derivative of t(c) wrt c?
-780*c**2
Let l = 141 + -138. Let o(q) be the first derivative of 2/3*q**l + 5/2*q**2 - 2 + 0*q. Find the second derivative of o(m) wrt m.
4
Let t(q) be the third derivative of q**8/560 - q**4/6 - 5*q**3/3 + 8*q**2. Let f(a) be the first derivative of t(a). What is the derivative of f(s) wrt s?
12*s**3
Find the first derivative of -160 + 97*s**2 - 64 - 26*s**2 - 160 wrt s.
142*s
Let k be (-48)/(-10) - 4/(-20). Suppose -u + 0 = 4*y - k, 4*y + 7 = -5*u. What is the third derivative of 2*p**5 + 3*p**y - 12*p**5 + 6*p**2 + 0*p**5 wrt p?
-600*p**2
Differentiate 8*p**2 - 29 + 19*p**3 - 7*p**2 + p + p - p**2 wrt p.
57*p**2 + 2
Let n(b) be the third derivative of -b**7/105 - 13*b**6/30 + 101*b**5/20 + 3*b**2 + 56*b. Find the third derivative of n(a) wrt a.
-48*a - 312
Let n(q) be the second derivative of q**5 - 301*q**2 - 11*q + 6. Differentiate n(u) with respect to u.
60*u**2
Let g(m) = 441*m**3 + 229*m**2 - 12*m. Let t(x) = -x**3 - x**2 - 2*x. Let n(k) = g(k) - 6*t(k). What is the third derivative of n(b) wrt b?
2682
Let w(z) be the second derivative of -2*z**5/5 + z**3/2 - 15*z**2/2 - 3*z + 11. Find the first derivative of w(g) wrt g.
-24*g**2 + 3
Let x be (-2 - 9/(-3))*2. Suppose 5 = -x*o - 3*o. Let n(g) = 11*g. Let c(s) = -s**2 - s. Let v(p) = o*n(p) - 6*c(p). Find the second derivative of v(z) wrt z.
12
Suppose 7*k = 5 + 9. Find the third derivative of -8*x**2 + x**k - 31*x**5 - x**5 + 19*x**5 wrt x.
-780*x**2
Let g(o) be the third derivative of -7*o**6/24 + o**5/60 - 5*o**4/24 + o**3/2 - o**2 - 11. What is the second derivative of g(l) wrt l?
-210*l + 2
Let p(o) = 7*o**2 - 9*o + 9. Let q(i) = 22*i**2 - 25*i + 27. Let t(n) = 11*p(n) - 4*q(n). Find the first derivative of t(u) wrt u.
-22*u + 1
Let n(p) be the first derivative of -65*p**7/7 + 77*p**3/3 - 67. Find the third derivative of n(b) wrt b.
-7800*b**3
Let w(t) be the second derivative of -13*t**4/12 + 5*t**3/2 - 204*t**2 - 213*t. Differentiate w(j) with respect to j.
-26*j + 15
Let i(n) be the first derivative of 41 + 0*n**5 + 0*n + 2/7*n**7 + 0*n**2 + 0*n**4 + 0*n**6 + 8*n**3. Find the third derivative of i(k) wrt k.
240*k**3
Let v(j) = -49*j**4 - 2*j**3 + 34*j**2. Let b(y) = -148*y**4 - 7*y**3 + 102*y**2. Let m(h) = -2*b(h) + 7*v(h). What is the third derivative of m(t) wrt t?
-1128*t
Let w(s) be the first derivative of s**8/56 - s**5/60 - 4*s**2 + 4. Let d(n) be the second derivative of w(n). Find the third derivative of d(g) wrt g.
360*g**2
Let x(l) = l**2 + 3*l - 19. Let t(c) = -2*c**3 + 2*c**2 + 2*c - 19. Let b(k) = -4*t(k) + 3*x(k). Find the second derivative of b(d) wrt d.
48*d - 10
Let l(f) be the first derivative of -17*f**6/3 - f**3/3 - 65*f**2/2 + 11. What is the second derivative of l(m) wrt m?
-680*m**3 - 2
Let f(q) be the second derivative of q**8/840 + 13*q**5/120 - q**4/6 - 12*q. Let j(r) be the third derivative of f(r). What is the derivative of j(a) wrt a?
24*a**2
Let c(t) = 10*t**3 - 9*t**2 + 17*t + 241. Let p(n) = 3*n**3 - 2*n**2 + 4*n + 60. Let k(q) = -4*c(q) + 18*p(q). What is the derivative of k(s) wrt s?
42*s**2 + 4
Suppose d = q + 4, 1 = 2*d + q - 1. Find the third derivative of -19*a**2 + 29*a**2 - 7*a**4 - 16*a**d wrt a.
-168*a
Let r(w) = -75*w**4 + 3*w**2 - 3*w - 20. Let y(l) = -75*l**4 + 2*l**2 - 3*l - 20. Let s(v) = 2*r(v) - 3*y(v). What is the second derivative of s(z) wrt z?
900*z**2
Let l(m) be the second derivative of -m**6/60 + m**4/3 + m**3/2 - 9*m. Let b(f) be the second derivative of l(f). What is the derivative of b(v) wrt v?
-12*v
Let z(l) be the first derivative of 2*l**7/105 - 2*l**3 - 3*l**2/2 - 2. Let n(s) be the second derivative of z(s). What is the first derivative of n(i) wrt i?
16*i**3
Suppose -17*y = 521 - 521. Let i(d) be the third derivative of -13/60*d**5 - 11*d**2 + 5/24*d**4 + 0*d**3 + y + 0*d. Find the second derivative of i(w) wrt w.
-26
What is the third derivative of 75*c**2 - 17*c**5 - 39*c**3 + 13*c**5 - 8*c**6 + 4*c**5 wrt c?
-960*c**3 - 234
Suppose -5*l - 4 = 6. Let o be -6 - -5 - l*2. Find the first derivative of 3*v**3 - 2 - 8*v**o + v**3 wrt v.
-12*v**2
Suppose -12 = -8*g + 4. What is the third derivative of -41*a**3 - 43*a**3 + 76*a**3 - 15*a**g wrt a?
-48
Let j be (-7)/2*(-48)/42. What is the second derivative of 17*u + j*u + 22*u**3 - 2*u wrt u?
132*u
Find the third derivative of 548*w**3 + 78*w**2 - 592*w**2 + 10*w**3 wrt w.
3348
Differentiate -29*i**2 + 15 - 99 - 57*i**2 - 52 - 3*i + 36*i**2 wrt i.
-100*i - 3
Let x(q) = -q**4 - 16*q**3 - 46*q**2 + 2*q. Let y(c) = 2*c**4 + 15*c**3 + 45*c**2 - 3*c. Let n(b) = 3*x(b) + 2*y(b). What is the third derivative of n(p) wrt p?
24*p - 108
Let w = -386 + 2167. Differentiate 1781*m - w*m + 14 - 46*m**4 wrt m.
-184*m**3
Find the first derivative of 341*k - 173*k - 133*k**2 - 169*k + 411 wrt k.
-266*k - 1
Suppose 2*d = k, -5*k + 16 = d - 3*d. Suppose -k*p - 2 = -5*p. What is the first derivative of -1 - 1 - p - 4 - 11*x wrt x?
-11
Let i(u) be the second derivative of 2*u**7/21 - 2*u**6/15 - 19*u**4/6 - u + 15. What is the third derivative of i(p) wrt p?
240*p**2 - 96*p
Suppose 2*p - 64 + 58 = 0. Let r(l) = l**2 - 4*l - 2. Let d be r(5). Find the third derivative of d*c**2 + p*c**3 - 5*c + 5*c - 2*c**2 wrt c.
18
Find the third derivative of -34*a**5 + a - 1010*a**3 - 18*a**5 + 69*a**2 + 1008*a**3 wrt a.
-3120*a**2 - 12
Find the first derivative of 93*s + 90*s - 9067 - 57*s + 9012 wrt s.
126
Let s(j) = j**2 + 12*j - 8. Let b be s(-13). Suppose -2*l + b = 1. Find the first derivative of -l + 1 - 3 - 10*f + 2 wrt f.
-10
What is the derivative of 144 - 405 - 420*t**3 + 115 + 49 wrt t?
-1260*t**2
Let v(i) = -4*i**2 - i. Let t(c) = -2*c - 7*c**2 - 3*c + 3*c. Let a = 0 - 4. Let k(z) = a*t(z) + 9*v(z). What is the second derivative of k(w) wrt w?
-16
Let h(v) be the first derivative of 0*v**4 + 36/5*v**5 + 31 + 34/3*v**3 + 0*v**2 + 0*v. Find the third derivative of h(r) wrt r.
864*r
Let g(o) be the second derivative of 27*o**5/20 - o**4/12 - o**3/2 - 4*o**2 + 113*o. What is the second derivative of g(x) wrt x?
162*x - 2
Let w(m) = m**2 + m - 1. Let x(z) = -230*z**3 + 3*z**2 + 3*z - 132. Let u(b) = -3*w(b) + x(b). Differentiate u(j) with respect to j.
-690*j**2
Let q(y) be the third derivative of -218*y**7/105 + y**5/30 - 11*y**4/6 + 2*y**2 - 80*y. W
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose 33*m - 28*m - 10 = 0. Let p be w(m). Solve p = z - 5*d + 6, 0*z - 4*d = 5*z - 28 for z.
4
Let g be 5*6*(-22)/(-30). Suppose z + z = -4*f + g, -4*z + 12 = 0. Solve 0*m - 4*n + 4 = f*m, -n = -5*m + 29 for m.
5
Let m = -19 + 21. Suppose 2*n - 5*b = -12, m*n + 0 = b + 4. Solve -f + 1 = 2*g, 0 = -5*g + n*g - 2*f - 7 for g.
3
Suppose 0*v - 5*v + 45 = 0. Suppose 5*i = -3*m + 4*i + 7, 0 = 5*m + 3*i - v. Solve 4*t - 2*t + 11 = m*w, 5*t + 3*w - 4 = 0 for t.
-1
Suppose -4*k + 88 = -0*k. Suppose 4*x - 7 = -5*h, h = -3*h + 5*x + k. Solve -20 = -2*o - 3*o + h*j, 0 = 3*j for o.
4
Suppose 11*q = -37*q. Solve q = 5*w, z + 4*z + w - 25 = 0 for z.
5
Suppose 3*o + 1 = 19. Let b be o/(-14) - 342/(-63). Solve -2*c + 6 + 4 = 2*u, -5*u = -b*c + 5 for c.
3
Let b(r) = -r**2 - 9*r - 13. Let g be b(-6). Let x = 6 - 6. Suppose x = -9*l + 6*l + 9. Solve -g*j + 5*o = l*o + 17, -3*o + 3 = 0 for j.
-3
Let x be 1/(-8 - (-217)/28). Let t(g) = 3*g + 3 - 2 + g**2 + 0*g**2. Let r be t(x). Solve r*k - 4*k = -3*c + 20, 5*k = 2*c + 15 for k.
5
Suppose -y = -s + 5*s - 3, -y + 3 = -5*s. Solve 2*j - 4*j + 3*a = 13, 0 = -y*a + 9 for j.
-2
Suppose -9 = -2*b + o - 1, 3*b = -3*o + 12. Let m = 14 + -16. Let y be (6/(-2))/(m - -1). Solve 2*h + 2*h - 6 = -2*w, -1 = y*w - b*h for w.
1
Suppose -12*s + 396 = -48. Suppose 4*k - 49 + s = 0. Solve k*v - 5*j = -0*j - 10, 4*v = -3*j + 6 for v.
0
Let q = -26 + 38. Suppose -y = 5*u - q, 2*u - 8 = -3*y + y. Solve i = 2*i - u*v - 6, -3*i - 22 = 2*v for i.
-4
Suppose 21*k - 46 = 59. Solve 2*z - k*z + 27 = 5*u, 0 = -z + 5*u - 11 for z.
4
Let g = 4 - -1. Suppose -4*w = -0*t + 3*t - 12, 3*t = -w + 12. Solve 0 = g*h - 3*k + 27, h - 4*h - 2*k - 1 = w for h.
-3
Let g = -3 - -7. Suppose -44*h - 50*h + 25*h - 50*h = 0. Solve g*c + 5 = -5*o - h*o, -5*o - 25 = 0 for c.
5
Suppose -16 = 4*r, -r = 2*o + o - 2. Suppose -o*i + 3*i = 3. Let t be (-45)/(-6) + i/(-2). Solve 4*g = -16, -t*s + 5*s + 24 = -5*g for s.
4
Let d be (-87)/(-435)*(-15)/(-1). Solve -2*r = -3*h - 4, 5 = -2*h + d*r + 4 for h.
-2
Let c be (8/5)/(4/10). Suppose w = -3*k - c + 21, 2*k = -5*w + 20. Solve z = 4*s + 10, -5*s = -k*z + 5 - 0 for z.
-2
Let h = 5 + -1. Suppose 4*j + 6 = -5*a, -4*j + 10 = a - h*a. Let l(f) = 2*f + 4. Let i be l(0). Solve 4*d - 3*z + 3 = 0, -d + 3 = i*z - j for d.
0
Suppose 0 = -23*s + 27*s - 20. Suppose s*g - 5 = 20, -5*g + 41 = 4*l. Solve l*z - 6*z = -v - 2, -3 = v - z for v.
-4
Let m(o) = -17*o**2 + 204*o + 2. Let a be m(12). Solve -4*z - 2*t = -8, 3*z + a*t - 1 = 3*t for z.
1
Let i(x) = 12*x - 223. Let h be i(19). Solve 5*k - 3*d + 6 = -h, k + 5*d + 19 = 0 for k.
-4
Suppose -20 = -5*v, -5*s = -4*v - 3 + 4. Suppose 3*y - 28 = -13. Solve -s = -3*l + 3*x, y*x = 2*x for l.
1
Let n(q) = q**2 - 14*q - 105. Let r be n(20). Solve -3*t + 5 = m + 10, -3*t - r = 3*m for m.
-5
Let y = -122 + 124. Solve -g - 17 = 4*z, -y*z = 3*g - 4*g + 13 for z.
-5
Suppose 15 = 18*b - 3. Solve 3*j + 4 = -o, 0 = 2*o - o + b for j.
-1
Suppose -2 - 40 = m. Let b = -35 - m. Solve 0*a - 3*a - 11 = -2*t, -b = a - 4*t for a.
-3
Suppose -5*d + 3*b = -1, -d - 17 + 10 = -3*b. Solve g + 5 = -3*m, 0*m - 3*g = -d*m - 18 for m.
-3
Suppose -5*h + 23 = -2*x, x = 3*h - 5*h + 2. Let u be x/22 + (-8)/(-44). Let d be u*(26/(-8) + 3). Solve k + d = 1, -k + 1 = 4*q for q.
0
Suppose 5*a = 2*a + 12, a - 7 = -t. Solve -3*h = -5*o - 2*h + 11, -t*o = 5*h - 29 for o.
3
Let o(f) = 32*f**2 + f - 2. Let q be o(1). Let u = -27 + q. Solve 0 = -b - u*g + 4 + 1, 2*b - 5*g = -3 for b.
1
Suppose 7*z - 15 = 2*z. Suppose -z + 13 = -5*f. Let d be f/((-8)/12 - 0). Solve d*p = 3*v - 4*v - 17, -2*p + 17 = -5*v for p.
-4
Let q be (0/(-2))/(20 + -21). Solve o = 4*p + 11, -2*o + 2*p - 4*p - 18 = q for o.
-5
Let q(o) = 2*o**2 - 5*o + 2. Let f = 3 - 0. Let k be q(f). Suppose 5*d - 31 = g, 7*g + 5 = 2*g. Solve 3*p - 3*w + d = 0, -4*p + k*w = -9*p + 10 for p.
0
Suppose -2*k + 27*n - 23*n - 8 = 0, -3*n + 8 = -k. Solve 4*f + 6 = -p - k, -3*p = 6 for f.
-2
Let x = -1940 + 1940. Solve 3*f - c - 7 = x, 1 = -4*f - 4*c + 5 for f.
2
Let b = -121 + 124. Solve b*w - 5 - 4 = -3*p, 3*w - 16 = 4*p for w.
4
Let b = -6 + 6. Let r be (0 + 1)*1*16/8. Solve b = 4*a - n + 9, -9 = -2*a - r*n - 1 for a.
-1
Let d(k) = -2*k**3 - 8*k**2 - 5*k - 4. Let x = 5 + -8. Let w be d(x). Let v be (-2)/w - 108/(-63). Solve 0 = z + 3*j + 11, 0 = 3*z + v*j + 6 + 6 for z.
-2
Suppose -27*a + 26*a - 4 = -4*y, -3*a + 16 = -5*y. Solve -2*j + v + 7 = 0, -2*j - 4*v + a = -10 for j.
5
Let k be ((-1)/(-1))/((-105)/25 + 4). Let j be k/(-5 - 9/(-2)). Solve -5*i + 5*n = -j, n = -5*i + 5*n + 12 for i.
4
Let m(y) = -y**3 + 38*y**2 + 2. Let i be m(38). Solve i*b + 4 = 2*z, 2*z + 2 = z for b.
-4
Let a = -173 + 176. Solve -h - 3*d + 10 = 0, 4*h - a*d + 4*d = 18 for h.
4
Suppose 1 - 12 = -3*c + 2*j, 4*c + 3*j - 9 = 0. Solve -3*x + 4*n - 16 = 0, -c*n + 12 = -3*x - 2*x for x.
0
Suppose -o + 56 = 36. Suppose 6*p - o + 2 = 0. Solve -p*j - 19 = -5*v, -5*v = j - 3*j - 16 for v.
2
Let u = 206 - 201. Solve u*l - 4*m = m - 25, 7 = -3*l - m for l.
-3
Let n = 49 + -47. Let h be -3 + 15*n/6. Solve h*i + 6 = 4*i - 2*w, -13 = -4*i + 5*w for i.
2
Let i(s) = s**2 - s - 3. Suppose 0 = 2*w - 0*w - 6. Let v be i(w). Let f be (-7 - -9)/(4/6). Solve t - 16 = f*u, 2*t = v*u - 0*u + 17 for t.
1
Let f(q) be the third derivative of -1/60*q**5 - 7/12*q**4 + 0*q - 3*q**2 + 0 - 4*q**3. Let t be f(-12). Solve -2*n - 2*h = -12, 5*h + 2 = 3*n - t*n for n.
4
Suppose 2*w + 5*b - 15 = -w, 0 = 4*w + b - 3. Suppose w*q + 5*q = 5. Solve -5*g = 4*l + 25, -2*l - 5*g = -q + 16 for l.
-5
Let h = 44 + -30. Suppose -3*p + 2 = s + h, 3*s + 3*p + 12 = 0. Suppose 0 = -5*j - s*j, 16 = 4*i + j. Solve 0 = -3*r - 3, i*g + 2*r = 4*r - 2 for g.
-1
Let p be (-2)/10*150/(-5 - 1). Solve 3*h + 15 = 0, 0 = -z + h + p - 2 for z.
-2
Let v = -55 + 113. Let a = v + -39. Suppose j = -2*i + a, i - 3*i = 3*j - 13. Solve x - 4*g = -i, 0*x - 2*g = 4*x - 10 for x.
1
Let i(x) = -x**2 + 23*x - 12. Let u be i(22). Suppose 3*a - 2 = u. Solve a*h + t = -17, -2*h + t = 4*t + 21 for h.
-3
Let w = -48 + 42. Let f be (w/(-5))/(-5 - (-81)/15). Solve 24 = 3*p - 0*l - 3*l, 2*l - 4 = -f*p for p.
4
Suppose -n = -7*n + 24. Let k = -4 + 9. Solve -4 = -4*a - 0*c + n*c, -k*a + 11 = -3*c for a.
4
Suppose 13*b - 36 = 11*b. Let h = b + -10. Suppose -5*d - 3*i + 31 = 0, -4*d + i + h + 10 = 0. Solve 5*c + 25 = -d*f, -c + 6*c - 3 = 2*f for f.
-4
Suppose 3*k = r + 1, 4*k + 0*k - 2*r + 2 = 0. Suppose 5*c - 67 = -k. Suppose -9 - 5 = -3*s + 5*x, -5*s = 2*x - c. Solve -3*z + 1 = -f, 4*z + 3 = z - s*f for z.
0
Suppose 8*x + 10 = 13*x. Solve -2 = -x*k - 2*g - 6, -k + g = 6 for k.
-4
Let q be (-2)/(-12) - 59/(-6). Let k be (1 + 0 - 1)/2. Let y = -35 + 35. Solve y = -f - k*f + 2*t + q, -t - 5 = 4*f for f.
0
Let h(u) = -u + 7. Let n be 2/1 + 2 + 1. Let r be h(n). Solve 0*f = -3*w + r*f + 2, -3*w + 3*f = 0 for w.
2
Let z = 6 - 0. Let m be z - (3 + -1 - -1). Let j = -4 + 5. Solve -i - m*i + 8 = 2*h, j = 5*i - 2*h for i.
1
Let q be 2 - 0 - (-4)/2. Suppose 5*z - 11 = q. Suppose -2*f = -3*f + z. Solve -4*g + f*l = 29, 3*l + 3 = -4*g - 8 for g.
-5
Suppose 0 = 5*d + 3*a - 3, -3 = -5*d + 4*a + 28. Solve 5 = n + 4*k + 18, 0 = -3*n - d*k - 12 for n.
-1
Suppose 2*q = 0, 2*q + 10 = 5*g - q. Suppose 0 = 3*b - 3*y - 102, b = -g*y + 7 + 21. Suppose -3*s + b = -91. Solve 5*a + 22 = 7*a + 3*w, -5*a = 4*w - s for a.
5
Let y = -20 - -22. Suppose c = -y*c. Solve -5*i + 5*s + 10 = c, -i - 3*i = 5*s - 26 for i.
4
Let m(l) = -l**2 - 16*l + 107. Let q be m(5). Solve 3*g - 5*s = q*g - 22, 5*g + 4*s - 35 = 0 for g.
3
Let b(k) = 2*k**3 - 29*k**2 + 18*k + 10. Let r be b(14). Let o = -62 + r. Suppose 5 = -h + 2*h. Solve -4 = -3*c + o*q, -q = h*c - c + 1 for c.
0
Let d be (-1)/2*-3*(-16)/(-12). Solve -2*r - r = -2*g + 17, 3*g = d*r + 13 for g.
1
Let c(d) = d**3 + 20*d**2 + 36*d + 5. Let i be c(-18). Solve 0*z + 20 = -5*z, 5*z = i*g - 10 for g.
-2
Let h be 5/((-14)/(-12) - (-24)/(-144)). Solve -2*t = -2*s - 3*s - 19, -h*s + 3*t = 21 for s.
-3
Suppose -2*i = 4*q - 12, 12*q + 7 = 3*i + 7*q. Solve -4*t - 10 - 26 = 5*y, -28 = 3*y + i*t for y.
-4
Let z = -2114 - -2118. Solve 0 = 5*p + 5, 5*m - z*m = 2*p + 6 for m.
4
Suppose n + 2*c - 28 = 0, -2*n = 4*c - 2*c - 64. Let b be 316/n + (-2)/(-9). Solve -2*s = 2*t - 12, -1 + b = 3*t -
|
{
"pile_set_name": "DM Mathematics"
}
|
-24*sqrt(2) + 76
Simplify ((sqrt(143) + 1*(sqrt(143) - (sqrt(143) + sqrt(143) + sqrt(143)*2 + sqrt(143))) + sqrt(143))/sqrt(11) - ((-1 + sqrt(52))*-5 - sqrt(52)))**2.
-100*sqrt(13) + 1325
Simplify (5*(-1*-2*sqrt(320)*2 - (4 + (-2*sqrt(320)*-4 - sqrt(320)))))**2.
4800*sqrt(5) + 72400
Simplify ((sqrt(153) + -2 + -3)*6 - (0 + 2 + sqrt(153) + sqrt(153) - ((sqrt(153) - (sqrt(153) - (sqrt(153) - (-1 + sqrt(153)) - sqrt(153)))) + 3)))**2.
-504*sqrt(17) + 2161
Simplify 1 + (((sqrt(72)*2)/sqrt(2))/(2*sqrt(24)/sqrt(2) - sqrt(12))*4)**2.
193
Simplify (6*sqrt(12) + (sqrt(12) - (sqrt(12) - 1*sqrt(12)))/sqrt(4))**2 + (-5 + (sqrt(27) - sqrt(432)))**2.
90*sqrt(3) + 775
Simplify (-4*2*sqrt(88) + (sqrt(88) - (sqrt(88)*-2 - sqrt(88)))*3 + sqrt(88))/((sqrt(128) + sqrt(8))*-2 + (-4*sqrt(200) - sqrt(8))).
-5*sqrt(11)/31
Simplify -1 + -3*(sqrt(285)/sqrt(45))/sqrt(3) + 4.
-sqrt(19) + 3
Simplify -5 + (sqrt(272) + -2*sqrt(272) + 0 - -4*sqrt(272)*-3)**2.
45963
Simplify 4*-2*sqrt(3) + sqrt(3)*2 + -4 - (sqrt(3) + sqrt(12)/(sqrt(8)/sqrt(2)) + sqrt(3) + 0 + 0)**2.
-31 - 6*sqrt(3)
Simplify (sqrt(363) + (sqrt(363) + 1)*4 - sqrt(363)) + 4*sqrt(18)/(sqrt(6) + sqrt(24)).
4 + 136*sqrt(3)/3
Simplify (-6*(sqrt(68) + -2*sqrt(68)) + sqrt(68))/(sqrt(4) + sqrt(4) + (sqrt(144)*3 - sqrt(4))).
7*sqrt(17)/19
Simplify (sqrt(275)/sqrt(80))/((1*sqrt(10))/sqrt(2)) + 3.
sqrt(11)/4 + 3
Simplify (sqrt(324)*-3*-5)/((2*sqrt(120) - sqrt(120))/sqrt(10)*-1).
-45*sqrt(3)
Simplify (sqrt(3000) + (sqrt(3000)*-3 - sqrt(3000)))/(sqrt(10) - -1*sqrt(40)).
-10*sqrt(3)
Simplify (-4 + 0 + sqrt(11))**2 - (sqrt(11) + sqrt(55)/(sqrt(5)*-2 - sqrt(5))) - sqrt(1100)*6*6.
-1106*sqrt(11)/3 + 27
Simplify ((-1*sqrt(600) - (sqrt(6) - 1*sqrt(96)))/((sqrt(192) + 3*sqrt(192))*3))**2.
49/4608
Simplify (2 + -4*sqrt(2) + sqrt(4)/(-3*sqrt(2)) + sqrt(2))**2*1.
-40*sqrt(2)/3 + 236/9
Simplify ((sqrt(168) - 2*sqrt(168)) + -3*1*sqrt(42))/((sqrt(6) - (sqrt(216) - sqrt(54))/sqrt(9)) + sqrt(6) - sqrt(30)/sqrt(5)*3).
5*sqrt(7)/2
Simplify (4*(1 + 5 + sqrt(7) + 2 + 2))**2.
320*sqrt(7) + 1712
Simplify (sqrt(77) - (sqrt(77) + (sqrt(77) + 2*sqrt(77) - sqrt(77))*2) - (-6*1*sqrt(77) + sqrt(77)))/(sqrt(112) + sqrt(112)*-1 - sqrt(28) - sqrt(28)).
-sqrt(11)/4
Simplify (1*1*sqrt(204))/(sqrt(72)/(sqrt(54) + sqrt(6)))*4 + 1.
1 + 16*sqrt(17)
Simplify (-6*(sqrt(133) - (-2*sqrt(133) - sqrt(133))) + sqrt(133))/(-1*sqrt(7)*3 + sqrt(7)) - (sqrt(475)*-1 + sqrt(2299)*1)*4.
-25*sqrt(19)/2
Simplify (sqrt(190)/sqrt(250) - sqrt(152)/(sqrt(8)*-2 - sqrt(8))) + sqrt(304)*-3*5.
-892*sqrt(19)/15
Simplify ((sqrt(114) + (sqrt(114) - (sqrt(114) - -1*sqrt(114)))*-5)*1)/(sqrt(54)/(1*sqrt(144))).
24*sqrt(19)
Simplify -1*6*sqrt(65)/(2*sqrt(15)/sqrt(3))*4.
-12*sqrt(13)
Simplify ((1*-2*sqrt(104) - -5*(sqrt(104) + sqrt(104)*-2))/((sqrt(72) - (sqrt(72) - -2*sqrt(72)*-3))/sqrt(9)))**2.
637/36
Simplify (0 + (sqrt(162) + 0 + sqrt(162) - sqrt(162) - sqrt(162)) + sqrt(162) - sqrt(162))**2 - (sqrt(24)/(sqrt(12) - sqrt(48)) - (-1 + sqrt(98)))**2.
-129 + 16*sqrt(2)
Simplify ((sqrt(304) + -2 - sqrt(19)) + (-2*sqrt(19) - sqrt(19)) + -1 + (sqrt(931)*-2 - (sqrt(19) + sqrt(19) + -2*sqrt(19)*2)))**2.
72*sqrt(19) + 2745
Simplify (sqrt(68)*-3*-1)/(sqrt(1792)/sqrt(7) + sqrt(4)).
sqrt(17)/3
Simplify ((-6*(sqrt(60) + sqrt(1500)) - sqrt(60) - sqrt(60)) + sqrt(60))/(sqrt(1728)*-4).
37*sqrt(5)/48
Simplify -5 + (1*sqrt(30))/sqrt(10) - (sqrt(270)/sqrt(10) + -2)**2.
-36 + 13*sqrt(3)
Simplify (2*sqrt(3456) + sqrt(120)/(sqrt(5)*-2))/(4*(sqrt(300) + (sqrt(300) - -2*sqrt(300)))).
47*sqrt(2)/160
Simplify ((-3*sqrt(495)*-5)/(sqrt(44)/(sqrt(4)*-2 + sqrt(4))))**2.
10125
Simplify 1*((sqrt(110)*-1*6)/(sqrt(10)*-2*-4) + 5)**2 + 0.
-15*sqrt(11)/2 + 499/16
Simplify (-1*(4 + (-1 + (sqrt(80) - sqrt(80)*-2) - sqrt(80)))*5)**2.
1200*sqrt(5) + 8225
Simplify ((-4 + 4*sqrt(275) + sqrt(99) + 5)*-1)**2.
46*sqrt(11) + 5820
Simplify (((2*sqrt(143) - sqrt(143))*-2 + sqrt(143))/sqrt(11) + 3 + sqrt(637) + -2)**2.
12*sqrt(13) + 469
Simplify ((sqrt(6776) + -1*sqrt(6776) + (sqrt(1400) - ((sqrt(1400)*2 - sqrt(1400)) + sqrt(1400) - sqrt(1400))))/(5*sqrt(72)*-5))**2.
0
Simplify (1*1*sqrt(475) - (sqrt(475) + (sqrt(475) - (sqrt(475) + sqrt(475)*-2 + sqrt(475)))*-4))**2 - (1*sqrt(475)*3 + -4*-1*sqrt(475))**2.
-15675
Simplify sqrt(19) + (sqrt(19) - (sqrt(19) + sqrt(171))**2) + 0 - (-3 + sqrt(38)/sqrt(2)) - (sqrt(304) + 1 + 4*(sqrt(19) + -2)).
-294 - 7*sqrt(19)
Simplify (-5 + ((sqrt(95) - (sqrt(95) - (sqrt(95) + sqrt(95)*1*2))) + sqrt(95))/(sqrt(20)*-6))**2.
10*sqrt(19)/3 + 244/9
Simplify (2*sqrt(52)/((sqrt(4)*2*2 - sqrt(4)) + sqrt(4)))**2 - (-1*(sqrt(143) + sqrt(143)*-1) - sqrt(143))/(-1*sqrt(1331)).
-sqrt(13)/11 + 13/4
Simplify (sqrt(360) + (sqrt(360) - (sqrt(360) - (sqrt(360) - sqrt(360)*-1)) - sqrt(360)) - sqrt(90)/(-1*sqrt(9)))/(5*(sqrt(200) - sqrt(200)*-2)).
13*sqrt(5)/150
Simplify 2*(sqrt(396) + 1) + (-1 + sqrt(396))*-2.
4
Simplify 5 + (-1 + -2*sqrt(539)*-1*1)**2 + 5.
-28*sqrt(11) + 2167
Simplify (2*-4*-1*sqrt(245) + 5)**2.
560*sqrt(5) + 15705
Simplify (-3 + sqrt(1377)*1 + 2 + -2)**2 + 1.
-54*sqrt(17) + 1387
Simplify -4*((-2 + sqrt(176) + 1 + sqrt(176) + 5)**2 + 1).
-2884 - 256*sqrt(11)
Simplify (sqrt(243) + (-2 + sqrt(243))*-1 - sqrt(243) - sqrt(243))**2 + (2*sqrt(432))**2*-3.
-4208 - 72*sqrt(3)
Simplify ((5*2*sqrt(588))/((sqrt(196) - (sqrt(196)*-2 + sqrt(196)))*-2 - sqrt(196)))**2.
12
Simplify -4 + (-2*(sqrt(19) - -4*sqrt(304))**2 - (sqrt(1216) + -1 - ((sqrt(19) - (sqrt(19) - sqrt(171))) + sqrt(19) + 2))**2).
-11299 + 24*sqrt(19)
Simplify -2*(6*(-3 + sqrt(1539))*6 + -1).
-648*sqrt(19) + 218
Simplify (-4*sqrt(2736))**2*-2 - (sqrt(2736) - 1*sqrt(2736)*1).
-87552
Simplify ((sqrt(56)/sqrt(4) - sqrt(14))/sqrt(2) - (4 + sqrt(14)/sqrt(2) + sqrt(7))) + 5 + -3*((sqrt(252) + 0 + sqrt(252))**2 + sqrt(252))*5.
-15119 - 92*sqrt(7)
Simplify (6*(0 + sqrt(17))*1 + 5 + (sqrt(2448) - sqrt(2448)*-1))**2.
300*sqrt(17) + 15325
Simplify 2*(5 + (1 + sqrt(112) + sqrt(112) - sqrt(112)) + sqrt(1008) + 3*sqrt(1008)*-1)**2.
-480*sqrt(7) + 5672
Simplify (((sqrt(17) - sqrt(1088))*-4 - sqrt(17))*2 + sqrt(187)/(sqrt(1617)/sqrt(3)) + 3)**2.
2274*sqrt(17)/7 + 2442338/49
Simplify sqrt(112) + -4*(-2 + sqrt(112))**2 - sqrt(84)/((sqrt(72) - 2*sqrt(72))/sqrt(6)).
-464 + 69*sqrt(7)
Simplify (-2 + -3*sqrt(288) + -5 + -4)**2.
792*sqrt(2) + 2713
Simplify ((-4*sqrt(171)*-1)/sqrt(9) + (3*(sqrt(19) - (sqrt(19) - sqrt(19)*-2)) - sqrt(684)*-2))**2.
1900
Simplify (sqrt(35)/(sqrt(5) + sqrt(605)*4 + sqrt(605)) + 5 + (sqrt(63)/(sqrt(9) + sqrt(36)))**2)*-3.
-52/3 - 3*sqrt(7)/56
Simplify (-2*(sqrt(847) - (sqrt(847) + 1 - sqrt(847) - sqrt(847))) + -4)**2 - ((1*sqrt(280))/sqrt(8))/(-1*sqrt(80) + sqrt(5)).
529*sqrt(7)/3 + 13556
Simplify (sqrt(68) + sqrt(68)*-2*6 - (sqrt(68) + -3*1*sqrt(68) + sqrt(68) - sqrt(68)))/((sqrt(28) + sqrt(28)*1)/sqrt(7) - (sqrt(100)*2 - sqrt(100))) + 1.
1 + 3*sqrt(17)
Simplify ((-2 + -4*5*(5 + -2*sqrt(11)) + 2)*4)**2.
-128000*sqrt(11) + 441600
Simplify (4*-2*(1 + (sqrt(720) + sqrt(720) + 1 - sqrt(720))*-4))**2.
18432*sqrt(5) + 737856
Simplify ((-6*sqrt(468)*-6 + 0)*6)**2.
21835008
Simplify ((-4 + 4*4*sqrt(12))*-1)**2.
-256*sqrt(3) + 3088
Simplify ((1 + sqrt(2)*2)*-6)**2 - (sqrt(4) + sqrt(640)/sqrt(10))/sqrt(2).
139*sqrt(2) + 324
Simplify 6*(0 + sqrt(108))**2 + 4 - (-1*sqrt(12) + (sqrt(30)/sqrt(2))/sqrt(5)).
sqrt(3) + 652
Simplify (sqrt(272) + 2 + 4*sqrt(272) + sqrt(272) + (1 + sqrt(272))*4)**2.
480*sqrt(17) + 27236
Simplify -5 + sqrt(28)/(sqrt(1152)/sqrt(8)) + 2 + 5.
sqrt(7)/6 + 2
Simplify (-5 + ((sqrt(931) - 5*(sqrt(931) + sqrt(931) + 0 + sqrt(931)))*-5 + 0)*1)**2.
-4900*sqrt(19) + 4561925
Simplify -3*(-2*3*sqrt(98) - (sqrt(98)*-4*-6 + sqrt(98))).
651*sqrt(2)
Simplify -1*(4 + sqrt(931))**2 - (sqrt(57)/sqrt(12) + -3).
-944 - 113*sqrt(19)/2
Simplify -2*(0 + 4*(sqrt(11)*3)**2)*4.
-3168
Simplify (sqrt(21)/(-4*2*sqrt(3)) - sqrt(63)/(sqrt(9) - ((sqrt(99)*-3)/sqrt(11) - sqrt(9))))**2.
1183/1600
Simplify (sqrt(176) - -6*(-1 + sqrt(176)))**2 + 0 + 6*sqrt(704).
-288*sqrt(11) + 8660
Simplify (6*(-6*sqrt(76)*1 + (-2*sqrt(76) + sqrt(76) - sqrt(76))*-6))**2*4.
393984
Simplify -1*(3 + -4*(sqrt(125)*-3)**2).
4497
Simplify sqrt(378)/(sqrt(486)*-2 + sqrt(486)) + ((sqrt(315) + (sqrt(315) + sqrt(315) + -2*sqrt(315))*1 + sqrt(315))/sqrt(5))**2.
-sqrt(7)/3 + 252
Simplify (((sq
|
{
"pile_set_name": "DM Mathematics"
}
|
0 = 5*f - 3*y - 20 - q for f.
4
Let w(v) = 11*v**2 + 77*v + 3. Let z be w(-7). Suppose 5*j = z*j + 2*o, -o + 4 = 0. Solve 0*y = -3*y + 4*b + 3, j*y = 3*b + 11 for y.
5
Suppose -2712 = -55*k - 204*k - 80*k. Solve 5*c + k*o - 20 = 7*o, -3*c + 2*o = 1 for c.
3
Suppose 110*j = -71*j + 362. Solve 2*q - l - 1 = 4, j*q + l - 15 = 0 for q.
5
Suppose -1001*f = -1009*f + 232. Solve s - f = -5*z, -5*z - 1 = -5*s - 6 for s.
4
Let x(z) be the third derivative of 5*z**4/24 - 15*z**3/2 - 12*z**2 - 2*z. Let f be x(9). Solve -4*w + 0*q = -4*q - 4, -5*w - 4*q + 32 = f for w.
4
Let r be 3*(1 - (-65)/(-15))*-4. Suppose -56*y = -r*y. Solve 3*l + 4*n = -26, -3*l + 4*l + 5*n + 27 = y for l.
-2
Let d(n) = 11*n - 126. Let k be d(12). Solve 3*h - 2*i - 16 = 0, 4*h - k*h - i + 6 = 0 for h.
4
Let d be 6/(6/4 - 0). Let r(u) = u**2 - 58*u - 1003. Let w be r(72). Solve 3*k + w*s = 19, -d*k + 3*s = s + 18 for k.
-2
Let s = 6352 - 6343. Solve 5*b - 2*x - 7 = 0, -14*b + s*b + 4*x - 1 = 0 for b.
3
Let t(y) = -y**3 - 5*y**2 + 15*y - 1. Let h be t(4). Let z be 102/h*5/(-3). Solve -5*v + c + 14 + 1 = 0, -z*v = -4*c - 24 for v.
2
Suppose 6*l - 2 = 4*l. Let p be (24/9)/(l/3). Solve 0 = -5*a + 3*m - 6, 4*a + 7*m = 3*m + p for a.
0
Suppose 20*z - 148 = -4*v + 16*z, 0 = -4*v + z + 128. Solve -28 = -5*n - 37*y + v*y, -2*n = -4*y for n.
4
Suppose -7 = 5*t + 3*a + 4, -3*t = -a - 13. Solve t*r - 247 = 5*h - 224, -3*h - 3*r = -3 for h.
-3
Suppose 3 = -3*z, -5*l - 4*z - 14 - 50 = 0. Let c be (l/4 + 3)/2. Solve 20 = -5*g + 3*b, 4*g + c*g + 9 = b for g.
-1
Let p(j) = 2*j + 1. Let d be p(0). Let x(y) = d - y**3 - 5 + 3 - 4*y - 2 - 4*y**2. Let w be x(-4). Solve 4*c + 14 = 2*q, w = -c + 5*q - 4 for c.
-2
Let t be (1*4/(-6))/(750/36 + -21). Solve 16 = -2*s - 4*r - 0, t*r = 2*s - 8 for s.
-2
Suppose -2 = -j + 30. Let f(h) = -2*h**2 + 13*h + 28. Let c be f(8). Solve 3*d - 11 = -c*k, 4*d - 4*k = -0*k - j for d.
-3
Let p = -94 + 98. Let d be p - 3*(-5)/30*-2. Solve 6 = 4*h + 5*k - 14, d*k - 12 = -5*h for h.
0
Suppose 0 = 74*g - 79*g + 20. Suppose -5*o + 12 = -g*m, -m + 2*m = -4*o - 3. Solve -u = -3*v + 11 - 1, o = u + 4*v - 18 for u.
2
Let f(v) = -v**2 - 22*v + 1039. Let n be f(-45). Solve -3*o - d + 5 = 0, -n*d - 20 = -4 for o.
3
Suppose -3*p + 54 - 18 = -0*p - 4*z, 0 = 5*z. Suppose j + 9 = 4*j. Let f(s) = s + 1. Let c be f(j). Solve -2*k = -4*a + 16, 4*k = c*a - 12 - p for a.
2
Let h = -226 + 251. Let u be (h/5 - -1)*(-2)/(-4). Solve 5*f - 21 = -y, -4*y - 24 = -4*f - u*y for f.
5
Let b(l) = -496*l - 2475. Let z be b(-5). Solve -z*u + 25 = v, -5*v - 237*u = -241*u + 20 for v.
0
Let y(j) = 2*j**2 - 48*j + 4. Let q be y(24). Solve -4*f + q = 8*g - 11*g, -g = 8 for f.
-5
Suppose -137*o + 595 + 1313 = 22*o. Solve 3*w = -4*y + 19, 14*w - o*w - 2*y = -6 for w.
1
Let q(g) = g**2 + 4. Let b(p) = 3*p**2 - p + 10. Let a(m) = 3*b(m) - 8*q(m). Let l be a(4). Solve -8 = l*c + i + 7, 15 = 2*c - 5*i for c.
-5
Let s = 81 - -18. Suppose 4*g + 8 = 0, -5*o + 3*g = g - s. Suppose 0 = 2*b - 5*j - 2 - 1, -5*b + j = -o. Solve -b*z = -5*i + i - 28, 0 = -4*z - 2*i + 16 for z.
5
Let i be 8 - 21 - (-4 - 12). Solve 3 = 3*l - 4*r - 23, -4*l + i*r + 23 = 0 for l.
2
Let w be (10 - 9)/(4/20). Let g be (0 + -1)/((-5)/(-95)). Let v be ((-4)/(4/g))/1. Solve 2*b = -w*q, -8*b = -3*b + 3*q + v for b.
-5
Suppose 6*r = 2*r + 3*n - 10, 2*n = r. Let p be 4 - (3 + 2 + r). Solve 4*k + 11 = 3*d, -p*d - 34 = -0*k + 5*k for d.
-3
Let q = -1914 - -1917. Solve -19 = -q*w + 23*z - 22*z, -4*z = -5*w + 41 for w.
5
Let z(j) = j**3 - 16*j**2 + 19*j - 55. Let n = 950 - 935. Let k be z(n). Solve 28 = k*h + b + 3*b, -h = -5*b + 6 for h.
4
Suppose 4*z - 5*s - 11 = -4, 2*z - 4*s = -4. Suppose -4*f + n + 4 = 0, -4*n = f - 2*n + z. Solve -w - 4*v - 14 + 1 = f, 0 = 2*w - 5*v - 26 for w.
3
Let h = 54 + -52. Suppose 0 = -3*t - h*d + 18, -4*t = -d - 8 - 5. Solve 5*b = -2*m + 12, t*b + b = 5*m + 5 for b.
2
Let f be (60/(-44))/(41/(-451)). Solve -t + 15 = -5*r, f*r = 2*t + 11*r - 6 for t.
-5
Let q(x) = 45*x - 8*x**2 + 3 + 6*x**3 - 14*x**2 - 5*x**3 + 4*x**2. Let j be q(15). Solve y - 13 = -j*u - y, -u + 7 = -2*y for u.
5
Suppose -5*p - 4*c + 44 = 0, 3*c - 38 = -15*p + 10*p. Solve -5*f + 10 = -5*r, 4*f = p*r - 8*r + 32 for f.
5
Let h(b) = b**3 + 19*b**2 + 2. Let s be h(-19). Suppose 5*q - 42 = -s*q. Suppose -q = c - 8. Solve 8 = -t + 4*m, 4 = -t + 3*m - c for t.
0
Let y be 40/(-100) - 297*1/(-5). Suppose 39 = -5*b + y. Solve -b + 20 = -2*t + 4*l, -t - 5*l + 20 = 0 for t.
0
Let i be -1*(-42)/(-35)*(-5)/2. Suppose -u - 3*s + i = -3*u, u - 6 = 4*s. Let v be -1*(u - 9/3). Solve -v = 2*z - 2*d + 1, -5*z - 16 = 4*d for z.
-4
Let h = -3609 - -3611. Solve 20 = 4*g - h*c, g + g - 3*c = 10 for g.
5
Let v = 9959 + -9955. Solve v*y + 10 = 2*n, -2*y - 8 = 7*n - 5*n for y.
-3
Let g be -2 + 4 + (-2)/(-2). Suppose 3*b - 73 = -4*i, -3*b + 36 + 13 = -2*i. Let r = 10 + b. Solve g*k = 3*u + 2*u - r, -3*k - 13 = -u for u.
4
Suppose -4*h = -4*y + 12, -5*h - 21 + 30 = -y. Solve o = v - 4, h*v - 3 - 5 = o for v.
2
Suppose -57*c = -359 + 74. Solve 0 = 3*g + 2*a + 1, 0 = -c*a + 20 for g.
-3
Suppose j - 53*c + 4 = -57*c, -3*c - 18 = -3*j. Solve -4*d - j*a = -3*d - 6, 0 = 2*d + 5*a - 9 for d.
2
Let d = -25024 + 25031. Solve -d*z - 8*z = 45, 0 = -4*n - 4*z - 32 for n.
-5
Let h(u) = u**2 - 4*u - 1. Let q(i) = -i**3 - 6*i**2 - 6*i. Suppose c - 3*c = 10. Let z be q(c). Let x be h(z). Solve 14 = 3*b - 0*b - x*r, 10 = b - 4*r for b.
2
Let l = 49 + -56. Let s be 4/((4 + -2)/(l + 17)). Solve -5*v + z - s = 2*z, -z + 12 = -3*v for v.
-4
Let d be 27/5 + (-4)/10. Let n be 4/(5 + 84/(-8) - -6). Suppose 22 - n = 7*m. Solve -2*o - m*o = -5*p + 31, 4*o + d*p = -1 for o.
-4
Let y(s) be the first derivative of -7 - s**2 - 36*s + 5 + 9 + 10. Let k be y(-19). Solve c = -2*i - 1, -k*i = -3*i - c for i.
-1
Let y(l) = l**3 - 4*l**2 - 3*l - 7. Let s(n) = -n**3 - 18*n**2 + n + 23. Let x be s(-18). Let j be y(x). Solve -4*h - 6 = j*z + 2, 3 = -z - h for z.
-4
Let q = 41 + 83. Suppose -6*b = -4*b + q. Let w = 102 + b. Solve 5*t + w = -5*p, 0 = 2*p + t - 0*t + 13 for p.
-5
Let n be (-2)/3*15/(-1). Let x be -2 + (-608)/6 + 24/(-36). Let m = 126 + x. Solve d + f - 5 = 0, 4*d + m = 4*f + n for d.
1
Let t(d) = -d**3 + 5*d**2 - 25*d + 189. Let q be t(6). Solve -5*n = -25, -3*n = p + q*p - 11 for p.
-1
Suppose 463*z = 459*z + 12. Solve 0 = -5*b - 4*d + 41, -z*d + 0 = 2*b - 22 for b.
5
Let s(a) = -a**2 + 4*a + 3. Let q be s(4). Let m(g) = -g**3 + 36*g**2 + 12*g + 928. Let j be m(37). Solve 14 = -5*w - 3*h, -3*w - q = h + j for w.
-1
Suppose 4*g - 179*j + 178*j - 138 = 0, 2*j = -2*g + 84. Solve 0 = 5*a + 87*u - 83*u + g, 4*u = 5*a + 4 for a.
-4
Suppose 2*s - 3*s = -2. Let u(j) = -45*j - 1797. Let t be u(-40). Solve -2 - 3 = s*l + t*z, 5*z = l - 4 for l.
-1
Let p(u) = -5*u - 107. Let f(j) = -3*j**2 + 27*j + 8. Let d be f(10). Let l be p(d). Solve 4*i = y + i - 2, -2*y - l*i + 4 = 0 for y.
2
Let q(z) = -z**3 + 5*z**2 + 5*z + 12. Let w be q(5). Suppose -n + w = 5*y, 14 = 4*y + 3*n - 9. Solve 0 = 2*a + 3*a + 20, -b + a = -y for b.
4
Let i be (10/(-15))/(((-5)/(-30))/((-21)/28)). Solve -2*r - 3*r = -j + 25, -j - i*r - 7 = 0 for j.
5
Suppose 0 = 4*m + 3*s - 27, 72 - 63 = -2*m + 3*s. Let d be (15/20)/((-1)/(-4)). Solve q = -d*v + 13, 2*v - 1 = 4*q + m for q.
1
Suppose -5*o - 15 = 0, 16 = 3*v - 4*o - 8. Solve 14*k - 3*x = 17*k - 12, -3*k - v*x + 9 = 0 for k.
7
Let i be -5 - (-4 + (-6)/6). Suppose i = -37*z + 41 + 107. Solve -5*f + 30 = z*t, -t = -4*t - 2*f + 19 for t.
5
Let k = -4 - -6. Let r be 2023/5 - (22/(-5) - -4). Suppose 115 + r = 65*z. Solve a = 5*b - z, 2 = -3*b + k*b - a for b.
1
Suppose 21*f + 4*b = 23*f - 12, 0 = 4*f - 3*b - 19. Suppose -5*z = 3*k - 43, f*z = 47 - 63. Solve w - k = -4*i, 35 = 5*i - 0*i + 3*w for i.
4
Let c(r) = 11*r**3 + 98*r**2 - 6*r + 39. Let j be c(-9). Solve -2*b = 4*t + 6, -2*t + 3*b + j = -5*t for t.
1
Suppose 10*f = -569 + 709. Solve 5*b = s + f - 10, 4*s = -2*b + 6 for s.
1
Let t = -540 - -536. Let c be (-702)/312*t/3. Solve c*o + 3*z - z + 5 = 0, -25 = 3*o - 2*z for o.
-5
Suppose -3*o = 5*d - 36 - 74, 0 = 3*o. Solve 17 = u + 2*c, -27 = 5*u - 5*c - d for u.
5
Let z(k) = 3*k**2 - 5. Let i be z(4). Suppose -i = -2*t + 3*t. Let q = -37 - t. Solve 3*h = 2*j + q, 10 = 4*h + h + j for h.
2
Let z = 23
|
{
"pile_set_name": "DM Mathematics"
}
|
j. Solve -b = -d - 5*y, -18 = -5*d - 4*y + 2*y for d.
2
Let j(d) = d**2 - 2*d - 36. Let t be j(9). Suppose 6*r - t = -3*r. Solve -r*v = 3*x + 18, 5*v = x - 2*x - 22 for v.
-4
Let y(b) = -b**3 + 57*b**2 - 53*b - 164. Let n be y(56). Solve 32 = 4*k - 4*v, -8*k + n*k = 3*v + 10 for k.
2
Suppose 54*p = -p. Solve 3*j + u = 1 + 5, p = -j - 3*u + 2 for j.
2
Let r be 42/28*-15*4/6. Let q be (r/(-6))/((-4)/(-24)). Solve -5*m = 5*i + q, 0 - 2 = 2*m - 2*i for m.
-2
Let c = -117 - -131. Suppose -c*f + 165 = -19*f. Let a = f + 37. Solve 5*k = 0, a*v + 0*k - 5*k - 8 = 0 for v.
2
Let k = 168 - 326. Let f = k - -163. Solve -j + 29 = 2*a - 6*j, 0 = -f*a + j + 15 for a.
2
Suppose -4*o = -3*o - 3. Let n(q) = q**3 - 3*q**2 + 2*q - 4. Let d be n(o). Suppose -39 = -4*u - 59 + 84. Solve -d*r + u = -r - 3*c, c = 5*r - 10 for r.
1
Let y(v) = 2*v**2 + v - 1. Let j(z) = 6*z**2 + 27*z + 13. Let s(w) = j(w) - 2*y(w). Let a be s(-12). Solve -15 = o + 3*o - 3*i, 15 = 3*o + a*i for o.
0
Suppose 0 = g + 3*k + 13, 351*g + 10 = 347*g - 5*k. Solve -g*o + 4*r - 1 = 0, 0 = 7*o - 5*o + 4*r + 6 for o.
-1
Let w be (-32)/((-1)/15*-2*-3). Let y = -77 + w. Suppose y*d = -21 + 36. Solve -2*x + 0*x - 18 = 4*n, -d = n for x.
1
Let v be 4*(-8)/144 + 319/99. Solve 5*q - 7 = -b, 5*q - 5*b = -8 + v for q.
1
Suppose -61 = -4*a - 5. Suppose 2*y + 4*j = -a, 0 = 4*y - 3*j - 0 - 5. Let c be 66*y*(-1)/3. Solve 4*s - 6 = -5*p, -5*p + 4*p = -5*s + c for p.
-2
Let a be 2/16 - (-45)/24. Let x(u) be the third derivative of u**4/6 + 16*u**3 + 3*u**2 - 15. Let r be x(-23). Solve -3 = -3*s, -r*s = -5*y + 3 - a for y.
1
Suppose 3*g = -5*r - 10, -2*r + 4*r = 2*g - 20. Solve -i = -4*n + 20, g*i - 29*n + 30*n + 16 = 0 for i.
-4
Suppose 3*x - 3*m = 4*x, -2*x + 4*m - 20 = 0. Let d(z) = z**3 + 4*z**2 - 10*z + 13. Let a be d(x). Solve -w = 2*u - a, -4*w - 3 = 5*u - 1 for u.
2
Let h be (4/6)/((-170)/(-765)). Solve -6 = -4*d + h*f - 2, -3*d + f + 8 = 0 for d.
4
Suppose 184 - 8 = 2*v + 14*v. Solve -3*f - v = -4*x, -2*f - 14 = -9*x + 5*x for x.
5
Suppose -7*b + 20*b - 372 + 346 = 0. Suppose -2*c + 0 = 2. Let t = 7 + c. Solve -5*g = b*i - 20, -2*g = 3*i - t*i + 11 for i.
5
Suppose -14*f - 16 = -16*f. Let r be 2/((7 - 5)/f). Suppose 2 = -j + r. Solve 4*b + 3*k - 2 = j, 2*b + k - 2 = 0 for b.
-1
Let h = -507 + 536. Let o be (-6)/87 + 60/h. Solve -1 = -4*m + 3*s, 3*m - 4*s + o - 8 = 0 for m.
-2
Suppose -13*q + 2 = t - 9*q, -5*q = 0. Suppose -t*b + 2*d = -12, b = -3*b - 5*d - 3. Solve -o - b*o = -3*u + 4, -5*o + u = 16 for o.
-4
Let g be 180/24 + -3 - 1/(-2). Suppose 4*q = 2*d, 15*d + 26 = 19*d + 5*q. Solve 5*j = d*n + 5 + 11, 2*n - 22 = -g*j for n.
1
Suppose 0 = r - 6*r + 200. Let c = r + -37. Let f = 22 - 10. Solve -z - c*j = -3*z + f, -2*z = -5*j - 16 for z.
3
Let v(z) = -z**3 - z**2 + 6*z - 2. Let l be v(-3). Let w be (0/(-2) - 30) + (-5 - l). Let u = w - -36. Solve 3*h = -5*b + 6, -3*h - 4*b + u*b + 6 = 0 for h.
2
Let w = -50 - -82. Suppose 6*z + 182 = 20. Let p = w + z. Solve -c + 2*a = 0, -3 + 4 = -3*c + p*a for c.
-2
Let c = -145 + 148. Let x be (2/c)/(18/135). Solve -19 = x*o + 3*w, 5*w = -o + w - 14 for o.
-2
Suppose 180 = -2*y + 6*y. Suppose -8*g = -3*g - y. Let b(k) = 72*k + 4104. Let f be b(-57). Solve f*c - 5*p + 11 = c, -5*p = -c - g for c.
1
Suppose 111*o + 5*o = -180*o. Solve 0 = -4*p - 3*t + 20 - 32, 4*p + 5*t + 4 = o for p.
-6
Let k(q) = 16 + q + 40 - 4*q. Suppose 32*o - 598 = -22. Let c be k(o). Solve 3*m = -y + 2 - 7, -c*m - 6 = 2*y for m.
-1
Let g(a) = -a**3 + 6*a**2 - a + 8. Let q be g(6). Let o be ((-27)/(-54))/((1/14)/(-1)). Let f be (18*-4)/(-8) + o. Solve -f*m = -t + 6, -m - 6 = q*t + m for t.
0
Let x = 8 - 6. Suppose 0 = 4*b - 12 - 196. Suppose -151*a + b = -147*a. Solve v + x*v + a = 5*j, 2*j + 10 = 5*v for j.
5
Let y = 3 + 2. Let c be (9/12)/(-1 - (-10)/8). Suppose c*d + 2 = 8. Solve -4*v + d*t + t = -22, 5*v + y*t = 10 for v.
4
Let r(t) = t**2 - 8*t - 6. Let i be 1 + 3 - (-12 + 7). Let p be r(i). Let c(l) = l**2 - l - 1. Let x be c(p). Solve 2*f - 3 = 3*o - 8*o, x*o = -4*f + 1 for f.
-1
Suppose -21*r + 18*r - 165 = -y, 5*y - 853 = r. Suppose 3*m + y - 186 = 0. Let l = 0 + 4. Solve l*h - 21 = 5*k, m = 3*h - 7 for k.
-1
Let j = 72 + -44. Suppose 0 = j*m - 5*m - 46. Solve -4*u + 5*p - m = 5, 2*u - 10 = -2*p for u.
2
Suppose -2*s + 3*s = 4. Let g be (-5 + 2)*-3*4. Let u = -21 + g. Solve -s*d - u = i - 6, -3*i + 2*d = 13 for i.
-5
Let q(z) = z + 2. Let j be q(0). Let v(b) = -7*b + 24. Let t = -111 - -114. Let f be v(t). Solve 4*k - j*r - 12 = 2*r, -4*k + f*r + 14 = 0 for k.
5
Let o be 0/(-2 + 12/4 + -2). Solve -4 + o = 3*g - 2*u, -3*g = 2*u - 4 for g.
0
Let o(v) = 3*v - 1. Let m be o(1). Suppose 402*k = 260 + 142. Suppose 0 = r + 5*w - 25, -46 = -4*r - 5*w - 6. Solve -r*f - m*y = 4, -4*f + 0*y = 3*y - k for f.
-2
Let y be -1 - (4 - (-10)/(-5) - 5). Suppose -y - 33 = -5*d. Solve 0 = 5*a + 2*f + 16, -f + 21 = -3*a + d for a.
-4
Let n(y) = -5*y + 3*y + 2*y**2 - 1 - y**2. Let w be n(-1). Suppose -w*h = -h - g - 6, 5*g + 18 = -h. Solve -h*i - 8 = 0, t - 3*t - 5*i = 12 for t.
4
Suppose 0 = h + 7*h + 624. Let u = 81 + h. Solve -m = -u*m - 4, 2*t + 10 = -3*m for t.
-2
Let h(u) = u**3 + 15*u**2 - u - 15. Suppose -24*i = -3*i + 315. Let j be h(i). Solve -5*t + 3*d - 22 = j, -5*d = -0*d + 5 for t.
-5
Let w(l) = -19*l - 3. Let u be w(-1). Suppose 3*s - z + u = 0, 0*s - s - 20 = -4*z. Let g be 1 - (-4 - (s - -2)). Solve k = -5*n - k + 5, -g*n + 4 = k for n.
3
Let j be (18/(-3) - 2)*24/(-12). Solve 0 = -2*k + 10, z + k - 4*k + j = 0 for z.
-1
Let n(g) = -g**3 + 13*g**2 - 20*g - 19. Let h be n(11). Let d be (-10)/85 - (-12)/17*h. Solve 0 = 5*z - 4*o + 1, d*o - 1 = 2*z + o for z.
-1
Let v be 49/4 + 3*7/(-84). Suppose 3*l + 42 - v = 0. Let s be l + 42 - (-2 + -1). Solve -3*n = 4*z + s, -10 = -z + 3*z for n.
-5
Let h(b) = 5 - 14 - 10*b + 3 + 13 + 6. Let k be h(1). Let t(f) = -f - 2. Let j be t(-4). Solve w - 2*x - k = 0, 4*w - 3*x = j - 0 for w.
-1
Suppose 11*t = -3*h + 12*t + 11, -h + 4*t - 11 = 0. Solve 5*a - 5 = 5*b, 2 = -2*b + 3*a - h for b.
4
Let t = 53 + -15. Suppose -12 = t*x - 36*x. Let k be (-4)/x*(-1)/3*-9. Solve 0 = 2*v - p - 4, 4*p - 1 = -5*v + k*p for v.
1
Let s(j) = 23 + 5*j - 8 + 8. Let q be s(-4). Solve -5*i + 5*g = -25, -4*i + 21 = i - q*g for i.
3
Suppose 0 = -y + t + 12, -21*y + 23*y - 48 = 5*t. Solve -y*a + 3*i + 23 = 0, 8*i = 3*a + 6*i - 16 for a.
2
Suppose -60 = 25*b - 15*b. Let d be (-30)/b + 1 - 2. Solve 5*s - 3 = 3*v, -d*v = 2*s - 0*v + 4 for s.
0
Let h = 3560 + -3560. Solve 5*m + 3 = -5*l - 42, -3*l - m - 19 = h for l.
-5
Suppose 2*a = -3*p + 110, -2*a - a + 105 = 3*p. Suppose 37*f - p*f = -9. Suppose f*s - 9 = -4*j, 0*s + 3*j = s - 3. Solve -6 = s*h - 3, 5*d + 8 = -3*h for d.
-1
Let g(b) = -4*b + 19. Let j = 144 - 140. Let p be g(j). Solve -2*z + 3*w + p = -8, -w - 4 = -z for z.
1
Let w be 44/(-99) + (-132)/(-54). Solve 1 - 5 = -x, w*p = 4*x - 12 for p.
2
Let p(t) be the second derivative of 7*t**3/6 + 77*t**2/2 + 2*t - 20. Let l be p(-6). Solve 0 = -2*d + 5*y - l, -3*d + d = 3*y - 5 for d.
-5
Let t be (-3)/(-21) - (-1290)/35. Let j = -1 + 4. Suppose -2*d + 7*d = -3*r + 44, -j*r + t = 4*d. Solve w = 3*z - 1, -2 = -3*z - 3*w + d for z.
1
Let c(s) = s**3 + 16*s**2 + 15*s + 4. Let f = 40 - 55. Let o be c(f). Let b be (o/3)/((-22)/(-33)). Solve -3*l + b*k + 10 = 2*l, -4*l + 5*k - 9 = 0 for l.
4
Let u be (-45)/(-18)*4/(-5). Let h be 5 + 2 + u + -1. Suppose -58 = 7*n - 93. Solve -n*x = 3*y + 10, -2*x + 0*x - h = 3*y for x.
-2
Let o(w) = -736*w - 1443. Let u be o(-2). Solve -u*b = -3*r - 28*b + 10, r - 3*b = -2 for r.
4
Suppose -37*s + 123 = 59 - 121. Solve s*w + 3*d = -22, -28*d - 2 = w - 25*d for w.
-5
Suppose 3*k = 4*w + 19 + 2, w + 4 = k. Let j = 1 + w. Let y = 8 + j. Solve -l + 31 = 4*l + 3*i, y = -5*i + 10 for l.
5
Let h = 2424 - 2422. Solve 0*r - 2*r + h*x - 18 = 0, 4*x = -r + 11 for r.
-5
Let d be 2/4*-20 - 4. Let x be 2/d - 7092/(-252). Let p(z) = z**2 - 3*z + 2. Let g be p(3). Solve 0 = -2*b + 5*q - 28, g*b = -b + 4*q - x for b.
-4
Let j = -16273 - -16277. Solve 11*c = v + 6*c - j, 1 = 2*v - 3*c for v.
-1
Suppose 6*q + 238 = -15*q + 994. Solve -4*c - 15*i = -11*i - q, -4*c + i + 11 = 0 for c.
4
Suppose 138*i + 26 = 2*k + 142*i, -3*k = 5*i - 34. Solve -2*a + 2*y - 50 + 36 = 0, -3*a
|
{
"pile_set_name": "DM Mathematics"
}
|
q**2 - 3744*q - 2592 = 0. Calculate q.
-6, -3, -2, 18
Factor -36*a**4 + 445492*a**3 + 99000*a**2.
-4*a**2*(a - 12375)*(9*a + 2)
Find w such that -2*w**4/5 + 58*w**3/5 + 7052*w**2/5 + 6992*w/5 = 0.
-46, -1, 0, 76
Find m, given that -18*m**3 + 119631*m**2 + 99708*m - 19941 = 0.
-1, 1/6, 6647
Suppose -5*z**4/2 + 255*z**3/2 + 14575*z**2 = 0. Calculate z.
-55, 0, 106
Factor -2*z**2 + 18152*z - 41186888.
-2*(z - 4538)**2
Factor 2*g**2/5 + 146*g + 8700.
2*(g + 75)*(g + 290)/5
Solve k**5 + 738*k**4 - 153*k**3 - 111942*k**2 + 715716*k - 1195560 = 0 for k.
-738, -15, 3, 6
Determine n, given that -784*n**2 - 49*n + 78 = 0.
-39/112, 2/7
Factor -2*f**4/3 + 184406*f**3/3 - 245864*f**2.
-2*f**2*(f - 92199)*(f - 4)/3
Let -2*j**5/5 + 1328*j**4/5 + 6672*j**3/5 + 12028*j**2/5 + 9362*j/5 + 2676/5 = 0. Calculate j.
-2, -1, 669
Find b, given that 4*b**3/3 - 45256*b**2 = 0.
0, 33942
Let 2*o**4 - 15488*o**3 - 6*o**2 + 46460*o + 30976 = 0. What is o?
-1, 2, 7744
Solve 49*o**5/6 - 4123*o**4/2 + 900155*o**3/6 - 14387167*o**2/6 - 1407140*o - 608350/3 = 0.
-2/7, 23, 115
What is m in 2*m**2/11 + 4146*m/11 + 1880 = 0?
-2068, -5
What is l in 5*l**4 + 330*l**3 - 23815*l**2 - 311100*l + 18455540 = 0?
-103, -31, 34
Let -2*i**2/15 - 484*i/5 - 32338/15 = 0. What is i?
-703, -23
What is k in 3*k**5/4 + 51*k**4/8 - 117*k**3/4 + 219*k**2/8 + 15*k/4 - 9 = 0?
-12, -1/2, 1, 2
What is l in 3*l**3 + 684*l**2 + 39651*l + 76590 = 0?
-115, -111, -2
Let 2*u**4/5 + 48*u**3/5 - 18*u**2/5 - 432*u/5 = 0. What is u?
-24, -3, 0, 3
Factor 10*o**2 - 810895*o - 405450.
5*(o - 81090)*(2*o + 1)
Find i, given that 4*i**5/15 + 118*i**4/15 + 116*i**3/3 - 88*i**2/3 - 584*i/15 + 322/15 = 0.
-23, -7, -1, 1/2, 1
Factor -a**2/2 + 301706*a - 45513255218.
-(a - 301706)**2/2
Find r, given that 96*r**2/7 - 21309*r/7 - 666/7 = 0.
-1/32, 222
Let -o**5/10 + 23*o**4/10 + 454*o**3/5 + 394*o**2/5 - 1808*o/5 - 352 = 0. What is o?
-20, -2, -1, 2, 44
Determine z so that z**3/2 + 26167*z**2/2 + 85556268*z - 428108490 = 0.
-13086, 5
Find c, given that -3*c**2/8 + 838953*c/2 - 234614045403/2 = 0.
559302
Solve p**3 - 1153*p**2 - 61404*p = 0.
-51, 0, 1204
Factor -3*v**3 + 3708*v**2 + 3717*v - 7422.
-3*(v - 1237)*(v - 1)*(v + 2)
Factor u**4/5 - 3*u**3 - 1924*u**2/5.
u**2*(u - 52)*(u + 37)/5
Solve p**2/7 - 31946*p/7 + 255136729/7 = 0 for p.
15973
Factor -2*h**2/13 - 230344*h/13 - 6632294792/13.
-2*(h + 57586)**2/13
What is d in -5*d**3 + 759780*d**2 - 3039060*d + 3039040 = 0?
2, 151952
Let -2*o**3 + 118*o**2 + 21632*o + 84512 = 0. Calculate o.
-76, -4, 139
Let 224*l**5/3 + 2465*l**4 + 7267*l**3/3 + 32*l**2 = 0. What is l?
-32, -1, -3/224, 0
Factor -4*s**4 - 1044*s**3 - 36960*s**2 + 4458608*s.
-4*s*(s - 47)*(s + 154)**2
Factor 39*a**3/7 + 762*a**2/7 - 1641*a/7 + 120.
3*(a - 1)**2*(13*a + 280)/7
Factor 2*v**3 + 1618*v**2 - 29660*v + 92624.
2*(v - 14)*(v - 4)*(v + 827)
Find z, given that 5*z**4 - 8210*z**3 - 49440*z**2 = 0.
-6, 0, 1648
Determine q, given that 3*q**4/4 + 291*q**3/4 - 312*q**2 - 909*q = 0.
-101, -2, 0, 6
Let 3*g**3/8 - 238515*g**2/8 + 592612878*g - 592583064 = 0. What is g?
1, 39752
Solve 14*u**3 - 1354*u**2/5 - 4606*u/5 + 1178 = 0 for u.
-19/5, 1, 155/7
Determine j, given that -5*j**4 + 1040*j**3 - 5880*j**2 - 36160*j - 40400 = 0.
-2, 10, 202
Solve -c**3/4 + 1521*c**2/4 - 3039*c/4 + 1519/4 = 0 for c.
1, 1519
Solve -4*q**4/5 + 164*q**3 + 12024*q**2/5 + 52272*q/5 + 63072/5 = 0.
-6, -2, 219
Factor 2*o**2/5 - 324*o/5 + 2576.
2*(o - 92)*(o - 70)/5
What is o in -o**5/2 - 235*o**4/8 - 385*o**3/8 + 795*o**2/8 - 171*o/8 = 0?
-57, -3, 0, 1/4, 1
Suppose -2*k**4/21 - 1906*k**3/21 + 9568*k**2/21 - 3832*k/7 = 0. What is k?
-958, 0, 2, 3
Find c such that -2*c**5/13 + 64*c**4/13 - 398*c**3/13 - 584*c**2/13 + 4648*c/13 + 7360/13 = 0.
-2, 5, 8, 23
Suppose 2*y**4 + 139004*y**3 + 278002*y**2 + 139000*y = 0. What is y?
-69500, -1, 0
Find t such that 3*t**3/2 + 3888*t**2 + 279207*t/8 + 627669/8 = 0.
-2583, -9/2
Factor -2*p**4 + 3504*p**3 + 44896*p**2 - 1383771648*p - 311910975488.
-2*(p - 1204)**2*(p + 328)**2
Determine s so that 5*s**5 - 10*s**4 - 95*s**3 + 340*s**2 - 300*s = 0.
-5, 0, 2, 3
Determine a, given that 2*a**4/17 + 892*a**3/17 - 6312*a**2/17 + 13572*a/17 - 8154/17 = 0.
-453, 1, 3
Let 2*d**4 - 764*d**3/3 + 22430*d**2/3 + 41096*d - 14520 = 0. Calculate d.
-5, 1/3, 66
Factor 5*v**2 - 34150*v - 960120.
5*(v - 6858)*(v + 28)
Determine f, given that 2*f**2/3 - 308*f/3 - 310/3 = 0.
-1, 155
Let -3*a**5 - 945*a**4 + 16761*a**3 - 56571*a**2 + 66654*a - 25896 = 0. What is a?
-332, 1, 2, 13
Determine t, given that 35*t**3/6 + 64*t**2 - 11*t/6 = 0.
-11, 0, 1/35
Find h, given that h**5 + 175*h**4/2 - 561*h**3 = 0.
-187/2, 0, 6
Let n**2 + 793*n - 2388 = 0. Calculate n.
-796, 3
Let 2*w**2 + 24654*w = 0. What is w?
-12327, 0
Suppose -14*a**3/3 - 3456*a**2 + 25250*a/3 - 2972 = 0. What is a?
-743, 3/7, 2
Find g, given that -2*g**3/11 - 1560392*g**2/11 - 304354459594*g/11 - 608702677636/11 = 0.
-390097, -2
Factor -2*n**2 - 442416*n - 24466489632.
-2*(n + 110604)**2
Solve 2*o**5/13 + 1734*o**4/13 + 380156*o**3/13 + 1869684*o**2/13 + 2605826*o/13 + 1114566/13 = 0.
-431, -3, -1
Factor 7*h**3 - 8685*h**2 - 2482*h.
h*(h - 1241)*(7*h + 2)
Solve -u**4/3 - 71*u**3/3 - 719*u**2/3 - 649*u/3 = 0.
-59, -11, -1, 0
Factor 1694259004*k**4 + 32177385052*k**3 - 257148408*k**2 + 684880*k - 608.
4*(k + 19)*(751*k - 2)**3
Solve -5*h**5 - 9285*h**4 - 3151575*h**3 + 1140854625*h**2 = 0.
-1035, 0, 213
Determine j so that -90*j**4 - 81466*j**3/9 - 125644*j**2/9 + 67304*j/9 - 176 = 0.
-99, -2, 2/81, 2/5
Factor 5*c**3 - 395*c**2 + 9530*c - 66120.
5*(c - 38)*(c - 29)*(c - 12)
Find h such that h**3 - 36935*h**2 - 73877*h + 110811 = 0.
-3, 1, 36937
Factor 2*y**2 + 523120*y + 34206816800.
2*(y + 130780)**2
Factor -3*y**4 + 17652*y**3 - 26142012*y**2 + 517556640*y - 2578987200.
-3*(y - 2932)**2*(y - 10)**2
Factor -u**2/3 - 11048*u/3.
-u*(u + 11048)/3
Factor 2*m**2 + 2*m - 3960.
2*(m - 44)*(m + 45)
Factor 2*m**4 + 18234*m**3.
2*m**3*(m + 9117)
What is u in -80*u**4 - 265560*u**3 - 215753085*u**2 + 7682186070*u - 66947491845 = 0?
-1677, 69/4
Solve 2*n**4/7 - 98*n**3 - 37014*n**2/7 - 203346*n/7 - 42228 = 0 for n.
-42, -3, 391
Factor m**3/3 - 776*m**2 + 450076*m + 5438224/3.
(m - 1166)**2*(m + 4)/3
Factor 2*u**3/11 + 12644*u**2/11 + 50552*u/11 + 50544/11.
2*(u + 2)**2*(u + 6318)/11
Factor -3*u**2/8 - 207*u/8 + 14337/2.
-3*(u - 108)*(u + 177)/8
Factor -g**2/2 + 209*g - 13405/2.
-(g - 383)*(g - 35)/2
Suppose -a**3/4 + 1633*a**2/2 - 16311*a/4 + 9783/2 = 0. What is a?
2, 3, 3261
Let x**3/3 - 281*x**2/3 - 1426*x/3 - 1144/3 = 0. What is x?
-4, -1, 286
Factor 3*g**2/7 - 17604*g/7 + 17601/7.
3*(g - 5867)*(g - 1)/7
Determine s so that -2*s**4 + 366*s**3 - 16174*s**2 - 53382*s + 69192 = 0.
-4, 1, 93
Factor -x**2/4 + 649*x/2 + 1302.
-(x - 1302)*(x + 4)/4
Factor q**3/7 - 18541*q**2/7 + 12281425*q - 257743083/7.
(q - 9269)**2*(q - 3)/7
Let -1305*j**3/2 + 2611*j**2 - 2614*j + 4 = 0. Calculate j.
2/1305, 2
Let 4*u**5 - 108*u**4 + 224*u**3 + 15616*u**2 - 153600*u + 425984 = 0. Calculate u.
-13, 8, 16
Factor -3*m**3 - 8728*m**2 - 632055*m + 425250.
-(m + 75)*(m + 2835)*(3*m - 2)
Find r such that -2*r**5 + 306*r**4 + 644*r**3 - 3748*r**2 + 4350*r - 1550 = 0.
-5, 1, 155
Factor 37340*f**2 + 74668*f - 24.
4*(f + 2)*(9335*f - 3)
Factor -a**2/8 + 73185*a/4 - 5356044225/8.
-(a - 73185)**2/8
Solve 3*j**2 - 18996*j + 30070668 = 0.
3166
Factor x**3/2 + 161*x**2/2 + 147*x - 1908.
(x - 4)*(x + 6)*(x + 159)/2
Factor 3*n**3 + 30108*n**2.
3*n**2*(n + 10036)
Suppose -3*y**2 - 28314*y + 311817 = 0. What is y?
-9449, 11
Suppose u**5/3 + 4988*u**4/3 + 23235*u**3 + 343342*u**2/3 + 676544*u/3 + 132640 = 0. What is u?
-4974, -5, -4, -1
Let -10*w**5/7 + 3638*w**4 - 15152*w**3/7 - 315656*w**2/7 - 122208*w/7 = 0. Calculate w.
-3, -2/5, 0, 4, 2546
Factor 27*d**3 + 11298*d**2 + 16275*d + 5004.
3*(d + 1)*(d + 417)*(9*d + 4)
Find t such that -t**2/4 - 557*t/4 - 2814 = 0.
-536, -21
Suppose 3*r**2/5 + 815286*r/5 + 55390938483/5 = 0. What is r?
-135881
Let 106*y**2 - 30949*y/2 - 219 = 0. What is y?
-3/212, 146
Find o such that -22*o**5/15 + 92*o**4/15 + 974*o**3/15 - 2116*o**2/15 - 11968*o/15 + 448/3 = 0.
-4, 2/11, 5, 7
Factor q**4 - 124*q**3 + 4378*q**2 - 31236*q - 35739.
(q - 57)**2*(q - 11)*(q + 1)
Suppose 136*m**5 - 367
|
{
"pile_set_name": "DM Mathematics"
}
|
*g = -2*g + 12, 3*h - 2*g + 3 = 0 for h.
1
Let o(j) = 3*j**2 - j - 1. Let l be o(-1). Let z = 9 + l. Suppose -7*u + 6*u + 3 = 0. Solve 0 = 4*c + u*y + 1 - z, 0 = 2*c - 4*y - 22 for c.
5
Let d = 2 - 0. Suppose -q = 4*j - 1, 3*q + 3*j + j = 3. Solve -4*n + d*a = 0, a + 0 = 3*n + q for n.
-1
Suppose -f - 8 = 3*f. Let x = 0 - f. Suppose -3*m + 3*v + 48 = 0, 5*v = -5*m + 46 - 6. Solve -m = 5*j + x*d, 2*d = 5*j + 7 + 1 for j.
-2
Suppose 19 = 5*j - 6. Suppose 0 = -0*z + 4*z + 4*v - 20, j*v + 15 = 5*z. Solve -4 = -z*o + 4*b - 0, -o - 2*b + 7 = 0 for o.
3
Let y = -9 - -9. Let o = 1 + y. Solve 0 = h - 3 + 2, -o = 3*m + 5*h for m.
-2
Let y = -2 + 2. Suppose -3*z = -5*c + 12, y*c - z = -c + 4. Suppose 2*h = h + 7. Solve -2*m - 4*i + h - 19 = c, -m = -4*i - 18 for m.
2
Suppose -9*x + 15 - 6 = 0. Solve x = g - 2*v, -v + 4*v + 6 = -3*g for g.
-1
Let p(g) be the first derivative of -g**4/4 + 4*g**3/3 + 6*g**2 + 3*g - 10. Let d be p(6). Solve 0 = 4*t - 4, t - 2 = d*v + 5 for v.
-2
Suppose -2*h + 4*h - j + 4 = 0, -h = -j + 4. Let z(g) = -14 + 2*g + h*g + 9. Let x be z(5). Solve 0 = -i, 2*i + 1 = x*u - 4 for u.
1
Let y(s) = s**2 - 6*s + 2. Let b be y(7). Let v = 4 - b. Let k be (-48)/v - 6/(-15). Solve 6 - 28 = -5*q + 4*p, q + 4*p = -k for q.
2
Suppose 0 = -0*w - 5*w + 25. Let i(r) = -r - 8. Let c be i(-8). Suppose -j - j = c. Solve j*f = -w*k + 2*f + 21, -6 = -3*f for k.
5
Suppose 5*x = -3 + 3. Solve -3*j - 5 = 2*j, x = -4*s + j - 11 for s.
-3
Let b(x) = x**3 + 9*x**2 + 9*x + 11. Let r be b(-8). Suppose 0 = -r*w + 8 - 2. Solve 4*p = -3*q + w, 4*q + 16 - 4 = 2*p for p.
2
Suppose -15 = -s - 7. Solve 23 = 4*c - 2*l - 1, 3*c = -5*l - s for c.
4
Suppose b + 26 = 4*w + 5, -b - 16 = -3*w. Let r be (-3)/(-6)*-6 + 19. Solve 0 = 4*t - k - 12, -w*t + 4*k - 3*k + r = 0 for t.
4
Suppose 133 = 4*l + 5*x, 3*l - 45 = 4*x + 16. Let v be l/(-6)*(-6)/9. Solve 5*i = v*b + i - 15, 0 = -5*i - 15 for b.
1
Let o(t) = -t**3 - 2*t**3 + 4*t**3. Let h be o(0). Suppose -2*b + 5*b - 6 = h. Solve 4*s = 4*q - 28, -5*s = -b*s + 5*q - 19 for s.
-2
Suppose 0 = i - 3*j - 5, -2*i = 2*i + 2*j - 6. Let y = 5 + -3. Suppose 5*v = y*v - 4*g + 23, 3*v - g = 13. Solve -3*o - 28 = 4*z - 6*o, -v*o + 12 = i*z for z.
-4
Let f(s) = -s**2 + 19*s - 11. Let k be f(18). Solve -k = b + 2*d, b - 3*b - 2*d = 6 for b.
1
Suppose 7*o = 4*o - 18. Let q be 60/(-8)*o/5. Solve 5*u = 3*t - 24, 0 = -t + 3*u + 3 + q for t.
3
Let m(c) = 16*c - 1. Let y be m(1). Let i = 7 + -2. Solve 4*u = -i*k + k - 12, -5*u - 2*k - y = 0 for u.
-3
Suppose -4*j - 7 - 1 = 0. Let m = 3 + j. Solve -3*l - n - m = 0, -6 = -2*l - 0*l - 4*n for l.
-1
Let q(n) = -n + 15. Let w be q(12). Solve -4*r - w = -a, a - 12 = -3*a - 3*r for a.
3
Suppose -3*c = 2*c + 3*f - 24, 2*c - f - 3 = 0. Solve -9 = -h + 2*g, 5*h - 3*g = c*h + 15 for h.
3
Let g(f) = f**2 - 4*f - 7. Let l be g(6). Suppose t + 1 = 3*u, -4*u + 2*u = 2*t - 6. Let k be t - 1 - (2 - 5). Solve 2*j = -l*x, 28 = -5*j + j + k*x for j.
-5
Let p = -36 + 41. Solve -2*h - 1 = -p*i - 21, -5*i - 20 = 2*h for i.
-4
Let v be (-1)/(-2)*0/5. Solve 0*x - o = -x - 6, -2*x - 4*o = v for x.
-4
Suppose -3*j + 21 = -0*j + 3*d, 2*j = 2*d - 2. Solve -6*c + 2*c - 3*z - 22 = 0, -14 = 2*c + j*z for c.
-4
Let d(t) = 4*t**2 + 17*t + 6. Let s be d(-4). Solve 0 = s*g - 2*b + 6, 0 = 2*b - b - 2 for g.
-1
Let r(q) = -q**2 + 6*q + 1. Let k be r(6). Suppose 4*z - k = -y + 4, -2*z + 5 = y. Solve -3*l - 5*a + 0*a + 12 = 0, l = y*a + 4 for l.
4
Let k be ((-3)/1)/(2/(-2)). Suppose -2*w = 4*f - 21 - 5, 2*f - 16 = 2*w. Let y = f + -2. Solve -2*d - 2*r + 7 = k*d, -4*d + 9 = y*r for d.
1
Let i = 4 + -1. Suppose -i*l = -a + 4*a - 15, 5*l + 11 = a. Suppose 3*t = a*p - p - 20, 2*t + p - 4 = 0. Solve 2*q + 3*k + 8 + 5 = 0, t = -5*k - 25 for q.
1
Let y(k) = k**3 - k**2 - k - 3. Let f be y(3). Solve 3*i + 4*p + f = 7*i, -5*i + 3*p + 13 = 0 for i.
2
Let p be 11/(-3)*(-2 + 5). Let b = 1 + p. Let c = b - -15. Solve c*v = -5*t, 0 = -3*v - 2*t + 1 - 0 for v.
1
Let s = 34 - 16. Solve s - 6 = 4*i, 3 = 5*r + i for r.
0
Let k(r) be the second derivative of 2*r**3/3 + 2*r. Let b be k(2). Let i = 14 - b. Solve 0 = -2*s - 0*s - i, -3*a + 3*s = 3 for a.
-4
Let l = 46 + -4. Let s = -22 + l. Solve -4*x - 10 = -5*a + x, 2*a + s = -4*x for a.
-2
Suppose -8*w + 12*w = -64. Let v = 20 + w. Let b = -15 + 29. Solve 5*x + 2*n - 7 = 3*n, -v*n = x - b for x.
2
Let k be (3/(-9))/(2/(-30)). Let q be 0 + k + -2 - 2. Let g = 4 - q. Solve -3 = -g*p - 4*i + 5, -3*i = 3 for p.
4
Let h(i) = -16*i - 1. Let a be h(-1). Let v = -12 + a. Solve r - 5*f = -9 - v, -5*r + 3*f = 16 for r.
-2
Suppose 5*n - w + 2*w - 44 = 0, -5*n + 3*w = -28. Let a(x) = 11 - 5*x - 9 + 4*x. Let m be a(2). Solve q + m*q = -3*r - 9, 2*r + n = 0 for q.
3
Suppose -61*h + 63*h = 8. Solve 2*g = 2*t + 4, -3*g = h*t - 0*t + 8 for g.
0
Suppose -6*h + 4 = -4*h. Suppose -a - 2*a = 4*n - 3, 4*a - 4 = 0. Suppose 5*l = -y - 3, 0 = -l - 2 - n. Solve -b = -5*w - 0 - 2, 0 = w + h*b + y for w.
-1
Let z = 15 + -11. Solve -4*r - 40 + 8 = -z*u, -5*r = 2*u + 5 for u.
5
Let r be 9/12*(-8)/12*-10. Solve 2*s = 3*m + r*s - 9, -7 = -5*m - s for m.
1
Let o be 2 - -2 - (-1 - 0). Suppose 794 + 1666 = -4*z. Let t be (-4)/(-10) - z/25. Solve 5*v = -o*b - 0*b + t, -4*v = -2*b - 14 for v.
4
Suppose -5*p + 0*p + g = -13, 4*g + 18 = 3*p. Solve 4*b + 3*r + 20 = 4*r, 25 = -5*b + p*r for b.
-5
Let k be ((-50)/(-2))/(1 - 0). Solve 0 = 4*a - 5*u - 35, 2*a - u - k = 4*u for a.
5
Let a be ((-4)/(-5))/(8/180). Solve -r + o + 9 = a, -2*o = -r - 13 for r.
-5
Suppose 0 = b - 2*b + 5. Let r(u) = -u + 9. Let i be r(b). Solve -h = 5*m + 6, i*h + 6 = 2*m - 4*m for m.
-1
Let h be (-9)/(-12) + 6/(-8). Let b(o) = -o**3 - o**2 + o. Let a be b(h). Solve -3*u + u = -2, 3*m - 5*u - 7 = a for m.
4
Let t be -4 + 1 - (9/(-3) - 3). Solve u - 13 = 2*u + t*f, 4*u = f for u.
-1
Let p be 12/9*(-3)/(-2). Suppose -j - p*j + 36 = 0. Solve 0 = 4*w + i + 2*i - 9, 5*w = -4*i + j for w.
0
Let v = 7 - 2. Let c(s) = -2*s**3 - 13*s**2 + 7*s + 2. Let u be c(-7). Solve v*a + j - 24 = -3*j, -5*a + u*j + 18 = 0 for a.
4
Suppose -30 = -4*h - h. Suppose 25 = 4*o - 3*k, 4*k - h = 6*k. Solve -w - 7 = 2*u, w + 20 = -3*w - o*u for w.
-3
Suppose 4*t - 4*u = -20, -3*t - 4*u - 12 = -6*u. Let l = -1 + t. Let x be (-1 - -7) + 2 - l. Solve -3*q = 4*c - 0*c - x, 40 = 5*c - 5*q for c.
5
Let h = 20 + -7. Let o = 2 - 3. Let g = o - -4. Solve 3*m + h = 5*q, -m - g*q + 7 = -2*m for m.
-1
Let c(r) = -r**2 + 7*r + 10. Let k be c(7). Let q(l) = l**2 - 9*l + 7. Let x be q(k). Solve -3*z - 2*j = -x, 5*j = 4*z + 2*j for z.
3
Let k be 21/28 + 9/4. Suppose -4*y = y - 4*a - k, 5*a - 15 = 0. Solve -3*s + 3*t = y, -4*s = -2*t + 6 + 2 for s.
-3
Let c(q) = -q**2 + 6*q + 2. Let v be c(6). Solve v*w - 3*d = 19, 3*w - 5*d = -0*w + 31 for w.
2
Suppose -5*j - k + 13 = -49, -7 = -j - 2*k. Let o(t) = t + 4. Let n be o(0). Solve -u = -5*i - n*u - j, -i = 3*u + 5 for i.
-2
Let s(h) = -h**2 - 6*h - 2. Let z be s(-4). Suppose j = 15 + 4. Solve -w = -3*r + z*r + j, 3*w + 27 = -3*r for r.
-5
Let s(l) = -4*l. Let b be s(4). Let d = -11 - b. Suppose 5*w = -n + 26, -d*w - 3*n + 36 - 8 = 0. Solve -3*k + 23 = -w*m, 2*k - 5 = 2*m + 5*k for m.
-4
Let k be 4/6*(-6)/(-4). Let a(s) = 5*s - 1. Let c be a(k). Suppose -2*w + 4 = -2*z, -8 - 2 = -2*w - c*z. Solve w*t - t = -5*i + 15, -2*t = i - 3 for t.
0
Suppose 5*q = 5*n - 10, -q = -4*n - n + 10. Solve 0 = 2*t - 5*x + 26, -n*t + 3*x - 24 + 6 = 0 for t.
-3
Let u = -30 - -12. Let m be (2/3)/((-4)/u). Suppose -r + 0 + m = 0. Solve 4*v + 3*a = -13, -r*v - v - 5*a = 19 for v.
-1
Suppose -q + 2 = -1. Solve -5*f - 2*g - 9 = -2, q*f = 3*g for f.
-1
Let m(s) = 4 + 3*s**3 + 0*s**2 - 2*s**3 + 3*s**2. Let l be m(-3). Suppose f = l*f. Solve 5*o = -u - f*u - 16, -o = 4*u - 12 for u.
4
Let o be (24/42)/(1/14). Solve w + o = r, 4*w + 17 = 2*r - r for r.
5
Suppose -4*k + 5*u = -21, 5*k + 9*u - 15 = 4*u. Solve -2*f - k = 5*s - 4*s, 3*f = -s - 8 for f.
-4
Let m be -3 + (232/28 - (-2)/(-7)). Solve 5*i + 25 = 5*j, m*i + 3*j - j = -25 for i.
-5
Let g(j) = -j**2 + 8*j + 7. Let f(r) = r - 3. Let v be f(10). Let c be g(v). Solve -3*m - c = -x, -m - m = -4*x + 16 for x.
2
Let a(r) = r - 1. Let c be a(4). Solve 3*h + 6 = -0*y + 2*y, -5*h = c*y + 29 for y.
-3
Let v(i) = i**2 + 18*i + 19. Let p be v(-17). Solv
|
{
"pile_set_name": "DM Mathematics"
}
|
divided by 152.
97
Calculate the remainder when 44872 is divided by 359.
356
What is the remainder when 159765 is divided by 634?
631
What is the remainder when 1708 is divided by 833?
42
What is the remainder when 865430 is divided by 171?
170
What is the remainder when 2344 is divided by 264?
232
Calculate the remainder when 8646 is divided by 267.
102
What is the remainder when 18249 is divided by 169?
166
Calculate the remainder when 8988 is divided by 562.
558
What is the remainder when 1121139 is divided by 58?
57
Calculate the remainder when 689548 is divided by 150.
148
What is the remainder when 4715 is divided by 71?
29
Calculate the remainder when 18605 is divided by 25.
5
Calculate the remainder when 69417 is divided by 18.
9
What is the remainder when 125726 is divided by 3?
2
What is the remainder when 45897 is divided by 85?
82
What is the remainder when 23134 is divided by 4540?
434
Calculate the remainder when 4139 is divided by 201.
119
Calculate the remainder when 10954 is divided by 24.
10
Calculate the remainder when 19849 is divided by 13.
11
What is the remainder when 3933 is divided by 1877?
179
Calculate the remainder when 2004 is divided by 640.
84
Calculate the remainder when 46783 is divided by 592.
15
Calculate the remainder when 158929 is divided by 17652.
61
Calculate the remainder when 2941269 is divided by 178.
175
What is the remainder when 6663 is divided by 371?
356
Calculate the remainder when 3962 is divided by 1975.
12
Calculate the remainder when 15176 is divided by 7582.
12
What is the remainder when 17937 is divided by 46?
43
Calculate the remainder when 9284 is divided by 276.
176
What is the remainder when 9239 is divided by 9221?
18
Calculate the remainder when 5007 is divided by 251.
238
What is the remainder when 384 is divided by 181?
22
What is the remainder when 14754 is divided by 1053?
12
Calculate the remainder when 14004 is divided by 1554.
18
What is the remainder when 7639 is divided by 18?
7
Calculate the remainder when 57607 is divided by 42.
25
What is the remainder when 27680 is divided by 27608?
72
Calculate the remainder when 34766 is divided by 94.
80
What is the remainder when 4546 is divided by 66?
58
Calculate the remainder when 39537 is divided by 15.
12
What is the remainder when 10490 is divided by 4534?
1422
What is the remainder when 146085 is divided by 699?
693
Calculate the remainder when 253641 is divided by 253625.
16
Calculate the remainder when 83755 is divided by 423.
1
Calculate the remainder when 5223 is divided by 1123.
731
What is the remainder when 1567 is divided by 317?
299
What is the remainder when 4408 is divided by 2190?
28
What is the remainder when 15243 is divided by 3802?
35
What is the remainder when 12581 is divided by 449?
9
Calculate the remainder when 28522 is divided by 12.
10
Calculate the remainder when 3316 is divided by 133.
124
Calculate the remainder when 10443 is divided by 2603.
31
Calculate the remainder when 11172 is divided by 53.
42
Calculate the remainder when 135682 is divided by 30.
22
Calculate the remainder when 38820 is divided by 617.
566
Calculate the remainder when 4586 is divided by 2.
0
Calculate the remainder when 33680 is divided by 263.
16
Calculate the remainder when 29482 is divided by 9821.
19
Calculate the remainder when 320494 is divided by 1214.
1212
Calculate the remainder when 10478 is divided by 39.
26
What is the remainder when 1228964 is divided by 1594?
1584
What is the remainder when 4942 is divided by 13?
2
Calculate the remainder when 92240 is divided by 50.
40
What is the remainder when 2780 is divided by 35?
15
Calculate the remainder when 32507 is divided by 4.
3
What is the remainder when 1335 is divided by 655?
25
What is the remainder when 2797 is divided by 25?
22
What is the remainder when 954 is divided by 114?
42
What is the remainder when 467 is divided by 356?
111
Calculate the remainder when 1162 is divided by 6.
4
What is the remainder when 9567 is divided by 31?
19
What is the remainder when 5605751 is divided by 30?
11
Calculate the remainder when 7805 is divided by 7395.
410
What is the remainder when 71656 is divided by 18?
16
What is the remainder when 9585 is divided by 1215?
1080
Calculate the remainder when 7594 is divided by 669.
235
What is the remainder when 43122 is divided by 21446?
230
What is the remainder when 16995 is divided by 859?
674
What is the remainder when 456 is divided by 222?
12
What is the remainder when 410679 is divided by 83?
78
Calculate the remainder when 6978 is divided by 1744.
2
Calculate the remainder when 13090 is divided by 1005.
25
Calculate the remainder when 43541 is divided by 70.
1
What is the remainder when 144466 is divided by 7?
0
Calculate the remainder when 20736 is divided by 145.
1
What is the remainder when 5270 is divided by 1007?
235
What is the remainder when 28172 is divided by 825?
122
Calculate the remainder when 12224 is divided by 20.
4
What is the remainder when 7932 is divided by 20?
12
Calculate the remainder when 1460316 is divided by 18722.
0
What is the remainder when 1098117 is divided by 2068?
9
What is the remainder when 2094632 is divided by 23?
22
What is the remainder when 512 is divided by 103?
100
Calculate the remainder when 280331 is divided by 584.
11
Calculate the remainder when 146074 is divided by 444.
442
Calculate the remainder when 32377 is divided by 46.
39
What is the remainder when 49321 is divided by 91?
90
What is the remainder when 1803 is divided by 303?
288
Calculate the remainder when 391618 is divided by 915.
913
Calculate the remainder when 10961 is divided by 813.
392
What is the remainder when 4861 is divided by 122?
103
What is the remainder when 1113500 is divided by 42?
38
What is the remainder when 950515 is divided by 123?
94
Calculate the remainder when 89277 is divided by 257.
98
Calculate the remainder when 1505 is divided by 47.
1
What is the remainder when 13158 is divided by 2098?
570
Calculate the remainder when 217344 is divided by 238.
50
What is the remainder when 1765 is divided by 308?
225
What is the remainder when 2933 is divided by 916?
185
What is the remainder when 13574 is divided by 6777?
20
Calculate the remainder when 13566 is divided by 833.
238
Calculate the remainder when 6789 is divided by 3367.
55
Calculate the remainder when 6703 is divided by 267.
28
What is the remainder when 9557 is divided by 2467?
2156
What is the remainder when 1563 is divided by 143?
133
Calculate the remainder when 14243 is divided by 13943.
300
Calculate the remainder when 18265 is divided by 8889.
487
What is the remainder when 332111 is divided by 36899?
20
What is the remainder when 32505 is divided by 878?
19
What is the remainder when 3896 is divided by 1296?
8
What is the remainder when 39270 is divided by 13069?
63
Calculate the remainder when 3597 is divided by 702.
87
What is the remainder when 5191 is divided by 48?
7
What is the remainder when 11982 is divided by 4?
2
Calculate the remainder when 2133 is divided by 521.
49
What is the remainder when 11415 is divided by 92?
7
What is the remainder when 24542 is divided by 118?
116
Calculate the remainder when 1987 is divided by 64.
3
Calculate the remainder when 124426 is divided by 59.
54
Calculate the remainder when 170871 is divided by 11.
8
What is the remainder when 471865 is divided by 46?
43
What is the remainder when 305360 is divided by 76326?
56
Calculate the remainder when 137285 is divided by 106.
15
Calculate the remainder when 15654 is divided by 5123.
285
Calculate the remainder when 1224 is divided by 767.
457
What is the remainder when 16049 is divided by 3209?
4
Calculate the remainder when 12558 is divided by 304.
94
Calculate the remainder when 1722217 is divided by 47.
43
What is the remainder when 3076288 is divided by 30?
28
Calculate the remainder when 6615 is divided by 1382.
1087
Calculate the remainder when 42305 is divided by 21139.
27
What is the remainder when 398 is divided by 243?
155
Calculate the remainder when 46032 is divided by 506.
492
Calculate the remainder when 22570 is divided by 175.
170
Calculate the remainder when 3513 is divided by 14.
13
What is the remainder when 542234 is divi
|
{
"pile_set_name": "DM Mathematics"
}
|
1 prime?
True
Is 15307 a composite number?
False
Is 318077 a composite number?
False
Is 8161 a prime number?
True
Is 48417 a prime number?
False
Is 957071 a prime number?
True
Is 129242 prime?
False
Is 46601 composite?
False
Is 9089 a prime number?
False
Is 2098 a prime number?
False
Is 124171 prime?
True
Is 10757 a prime number?
False
Is 4835 a prime number?
False
Is 78101 a prime number?
True
Is 158549 composite?
True
Is 13227 prime?
False
Is 14853 a composite number?
True
Is 100349 prime?
False
Is 44101 prime?
True
Is 24721 a composite number?
True
Is 8209 a prime number?
True
Is 89861 a composite number?
True
Is 130223 prime?
True
Is 88933 composite?
True
Is 1385871 a composite number?
True
Is 14903 prime?
False
Is 351551 prime?
True
Is 580183 a prime number?
True
Is 53189 a prime number?
True
Is 13227 a composite number?
True
Is 1652347 a composite number?
False
Is 1057 a prime number?
False
Is 7033 composite?
True
Is 23957 composite?
False
Is 392869 a composite number?
True
Is 53813 a prime number?
True
Is 13963 a composite number?
False
Is 92719 a prime number?
False
Is 107599 a prime number?
True
Is 3433 composite?
False
Is 2807239 prime?
True
Is 209635 prime?
False
Is 17707 prime?
True
Is 8615 a prime number?
False
Is 1402 a prime number?
False
Is 1337851 composite?
False
Is 1259 prime?
True
Is 252965 composite?
True
Is 4742345 a prime number?
False
Is 96139 a composite number?
True
Is 48745 a composite number?
True
Is 246049 composite?
False
Is 83383 a composite number?
False
Is 31942 prime?
False
Is 304289 prime?
False
Is 127481 prime?
True
Is 6227 composite?
True
Is 661987 a composite number?
False
Is 963751 composite?
False
Is 228677 a prime number?
True
Is 12077 a composite number?
True
Is 28447 a prime number?
True
Is 667 a prime number?
False
Is 119269 a composite number?
True
Is 68371 a composite number?
False
Is 21919 prime?
False
Is 1417349 a composite number?
False
Is 145627 prime?
False
Is 5581 a composite number?
False
Is 2063279 a prime number?
True
Is 23147 prime?
False
Is 605909 composite?
False
Is 381469 composite?
True
Is 41333 composite?
False
Is 20437 prime?
False
Is 81161 composite?
True
Is 369791 a composite number?
False
Is 4369 a prime number?
False
Is 79669 a prime number?
True
Is 41267 prime?
False
Is 65783 a composite number?
True
Is 22013 composite?
False
Is 182813 a prime number?
True
Is 6197 a composite number?
False
Is 18529 composite?
True
Is 54811 prime?
False
Is 1527269 prime?
False
Is 603203 prime?
True
Is 37151 prime?
False
Is 594023 a composite number?
False
Is 97085 prime?
False
Is 36169 a composite number?
True
Is 2199 prime?
False
Is 250103 prime?
False
Is 3974 a composite number?
True
Is 851 a composite number?
True
Is 177737 a composite number?
True
Is 6961373 composite?
False
Is 57089 a composite number?
False
Is 421459 a composite number?
False
Is 60833 composite?
True
Is 84685 a composite number?
True
Is 2727797 a composite number?
False
Is 17165 prime?
False
Is 162329 prime?
False
Is 36029 a composite number?
True
Is 21089 composite?
False
Is 5366 a composite number?
True
Is 502487 a prime number?
True
Is 1189 a composite number?
True
Is 8213 a composite number?
True
Is 2287 prime?
True
Is 104117 a composite number?
True
Is 398661 prime?
False
Is 16547 a composite number?
False
Is 933545 composite?
True
Is 5189 a prime number?
True
Is 94873 composite?
False
Is 613 composite?
False
Is 1293787 a prime number?
False
Is 30755 a prime number?
False
Is 159977 composite?
False
Is 256019 a composite number?
False
Is 93571 composite?
True
Is 22199 composite?
True
Is 151091 a composite number?
False
Is 46861 prime?
True
Is 44947 prime?
False
Is 2119 a composite number?
True
Is 182549 a prime number?
True
Is 58593 a composite number?
True
Is 466633 composite?
True
Is 1655143 a composite number?
True
Is 2503 composite?
False
Is 39873 composite?
True
Is 159563 composite?
False
Is 308129 a prime number?
True
Is 349259 prime?
False
Is 1687 composite?
True
Is 1136609 composite?
False
Is 28559 composite?
False
Is 12889 prime?
True
Is 147835 a composite number?
True
Is 54001 a prime number?
True
Is 3957 a composite number?
True
Is 3181 a prime number?
True
Is 9811 a composite number?
False
Is 10669 composite?
True
Is 1741 composite?
False
Is 45997 a prime number?
False
Is 38321 a composite number?
False
Is 135829 composite?
False
Is 41717 composite?
True
Is 707935 prime?
False
Is 43087 a prime number?
False
Is 250105 composite?
True
Is 1234231 a prime number?
True
Is 263 prime?
True
Is 21859 composite?
False
Is 29041 prime?
False
Is 71741 composite?
False
Is 90121 prime?
True
Is 25873 a composite number?
False
Is 74197 prime?
True
Is 104407 a prime number?
False
Is 5750423 a composite number?
True
Is 2759 a prime number?
False
Is 23719 composite?
False
Is 177553 prime?
True
Is 24593 a prime number?
True
Is 24457 a prime number?
False
Is 3551 composite?
True
Is 270859 prime?
True
Is 103627 prime?
False
Is 57637 prime?
True
Is 1526045 a composite number?
True
Is 426291 composite?
True
Is 176413 a composite number?
False
Is 107999 composite?
False
Is 759959 composite?
False
Is 1555 prime?
False
Is 1289423 a prime number?
True
Is 598997 composite?
True
Is 878257 composite?
True
Is 18143 a prime number?
True
Is 60715 a prime number?
False
Is 4547 composite?
False
Is 24193 composite?
True
Is 774887 a prime number?
False
Is 178127 a composite number?
False
Is 221707 a composite number?
False
Is 519077 a composite number?
True
Is 42043 a composite number?
False
Is 27179 a composite number?
False
Is 16679 a prime number?
False
Is 170629 a prime number?
False
Is 29653 a prime number?
False
Is 4141 composite?
True
Is 16271 prime?
False
Is 25163 a composite number?
False
Is 129813 a prime number?
False
Is 7151 prime?
True
Is 70481 composite?
False
Is 53189 a prime number?
True
Is 92623 prime?
True
Is 174487 composite?
False
Is 14719 a prime number?
False
Is 17569 composite?
False
Is 199621 prime?
True
Is 10661 prime?
False
Is 846017 composite?
True
Is 282401 composite?
True
Is 20849 composite?
False
Is 130223 composite?
False
Is 9347 prime?
False
Is 2441 a composite number?
False
Is 257339 a prime number?
True
Is 5227 a prime number?
True
Is 66167 a prime number?
False
Is 487757 prime?
True
Is 1261042 composite?
True
Is 176965 composite?
True
Is 506537 prime?
True
Is 245697 a composite number?
True
Is 109097 a composite number?
False
Is 91 composite?
True
Is 40879 a prime number?
True
Is 661831 a prime number?
False
Is 127277 prime?
True
Is 20471 composite?
True
Is 14143 prime?
True
Is 109159 a prime number?
True
Is 8654 a composite number?
True
Is 43315 composite?
True
Is 1219 a composite number?
True
Is 24019 prime?
True
Is 1959 a prime number?
False
Is 3481 a composite number?
True
Is 1376359 a composite number?
False
Is 125277 a composite number?
True
Is 37033 prime?
False
Is 17957 a prime number?
True
Is 37239 a composite number?
True
Is 44413 a prime number?
False
Is 20389 composite?
False
Is 2038661 composite?
False
Is 643119 prime?
False
Is 1914571 prime?
False
Is 229339 prime?
False
Is 80947 prime?
False
Is 809961 prime?
False
Is 4287 a prime number?
False
Is 164253 a composite number?
True
Is 271853 a prime number?
True
Is 50117 a prime number?
False
Is 13645 prime?
False
Is 49639 a composite number?
False
Is 195103 composite?
False
Is 272339 composite?
True
Is 42169 composite?
False
Is 47923 a composite number?
True
Is 249007 composite?
True
Is 487 a composite number?
False
Is 18637 a prime number?
True
Is 206497 a prime number?
False
Is 1327 prime?
True
Is 700949 prime?
True
Is 48171 a composite number?
True
Is 532061 a composite number?
False
Is 91361 prime?
False
Is 519611 prime?
True
Is 12301 a composite number?
False
Is 125187 composite?
True
Is 60493 a prime number?
True
Is 164789 prime?
True
Is 39361 a composite number?
True
Is 253 prime?
False
Is 155191 a prime number?
True
Is 38705 a prime number?
False
Is 18637 a prime number?
True
Is 7319 a prime number?
False
Is 247183 composite?
False
Is 309 a composite number?
True
Is 136411 composite?
True
Is 16503 prime?
False
Is 170615 prime?
False
Is 47869 a composite number?
False
Is 48403 a composite number?
True
Is 32903 a prime number?
False
Is 402
|
{
"pile_set_name": "DM Mathematics"
}
|
4
Solve -17*y + 463 = 3*x - 60*y + 153, -5*x - 6*y - 27 = 0 for x.
3
Solve -233*v + 5*b = 2*b - 2*b - 1122, 3*v - 6*b - b + 26 = -8*b for v.
4
Solve 3*b = -4*i - 202, -11401*i - 104 = 2*b - 11406*i for b.
-62
Solve 6*u + 3*y = -201, u + 569181 - 568975 = -3*y for u.
1
Solve -7*k - 60 = -5*v - 8*k - 0*k + 6*k, 72 = -6*v - 3*k for v.
-4
Solve 73*i - 126*i + 64*i - 68 = -t, 4*i - 32 = -4*t for t.
2
Solve -4*q = 8, -4*q + 839 = 4*r + 875 for r.
-7
Solve -5*q + 32 = v, -19 = -2*v + 464*q - 465*q for v.
7
Solve w - 5*n - 60 = -4*w, -280*n + 273*n = -2*w + 59 for w.
5
Solve 0 = 25*l - 2*h - 34, -1256*l + 1258*l - 28 = -3*h for l.
2
Solve 2*z - 1 - 17 = 0, 18*j + 21*j + 2*j + 105 = -2*z for j.
-3
Solve -5*z + 38 = s, -70729*s - 2*z + 0 = -70726*s - 10 for s.
-2
Solve 7*d = 2*u - 93, -20*d = -24*d + 2*u - 54 for d.
-13
Solve -2*n + 1790 = 26*x + 1796, 5*x - 3*n - 9 = 0 for x.
0
Solve l = 5*t + 24, 2464675 - 2464693 = 3*t + 3*l for t.
-5
Solve 3*o = 2*b - 40, 2*b + 4676*o + 4672*o + 24 = 9347*o for b.
-4
Solve -6*m = 4*m - 3*w - 22, m - 19 + 6 = -4*w + 15 for m.
4
Solve -13076*c - 6*x - 56 = -13072*c, -5*c - 3*x + x - 48 = 0 for c.
-8
Solve g + 5*d + 0*d = -25, 6*d = -5*d + 8*d - 9 for g.
-10
Solve 2*g + 6*g = 15*c + 157, 0 = -14*g + 10*g - c - 15 for g.
-1
Solve 164*g - 160*g = -9*v - 52, 3*v + 3*g + 73 - 49 = 0 for v.
-4
Solve -64*t + 60*t + 39 = -p, 10*t - p = -38*t + 479 for t.
10
Solve -o + 1 = -2*h, -11467*o - 2 = -11466*o - 8*h + 3*h for o.
3
Solve -3425216*k - 2*s = -3425217*k - 5*s + 3, -5*k + 39 = 3*s for k.
9
Solve 4*p + 3*f - 105 = 0, 149828*p - 149828*p - 10 = 2*f for p.
30
Solve s - s = 4*m, 82*m = 2*s + 76*m + 2 - 10 for s.
4
Solve 30721*v + 90 = 30722*v - 2*z, 495 = -v - 11*z for v.
0
Solve 24 + 58 = 2*s - 4*r, -5*r + 335 = 10*s for s.
35
Solve -3*v + 4*k - 81 = -57, -4*v - 4*k + 5*k = 45 for v.
-12
Solve 29*m + 5*l = 154, -170707*m - 5*l = -170705*m + 8 for m.
6
Solve -7*j - 4*t = -2*j + 23, 3*j + 5*t = -3*t + t - 46 for j.
1
Solve 5*i - 2978 = 2*w - 2956, -3*i - 2*w + 10 = 0 for i.
4
Solve 7150 = 17*g - 2*p + 6989, g = 5*p + 31 - 2 for g.
9
Solve 5*l - 15*s = -45, -4*l + 511*s - 507*s = 12 for l.
0
Solve 180 = 5*n + 5*j, j - 27 - 21 = -0*j - 14 for n.
2
Solve -3*g + 3*q - 60 = 0, 113*g + 3*q - 92 = 118*g - 0 for g.
-16
Solve -6631*b - 8*f - 42 - 8 = -6633*b, -30 = -4*b + 2*f for b.
5
Solve 644*u - 649*u = 8*i + 72, -6*u + 9*i = 7 + 5 for u.
-8
Solve -4*t - 3*z - 249 = 0, 200*t + 4*z + 185 + 226 = 193*t + 7*z for t.
-60
Solve 4*v - 5*t = 1, -945336*v = -945333*v - 5*t + 3 for v.
4
Solve -5*p + 5*w - 70 = 0, 416 = 4161*w - 4135*w for p.
2
Solve 930*l + 3*s - 3018 + 489 + 340 = 2311, 5*l + 2*s = -75 for l.
5
Solve 5*i = -15*v + 15, -5*v + 2763*i - 2764*i - 1 = 0 for v.
-2
Solve 4*s + 80 = 4*w - 8*w, 2*s + w - 16 = -52 for s.
-16
Solve -5*n = -3*p + 61, -4*p - p + n - 1 = 0 for p.
-3
Solve 0*x - 60 = 3*y + 6*x, 3507*y = 3503*y - 7*x + 2*x - 44 for y.
4
Solve s + 17*u = 29*u - 9*u, -5*s = u + 16 for s.
-3
Solve -6630*r + 6633*r = -4*h + 17, h - 29*r + 85 = 0 for h.
2
Solve -7*v - 43 = 14*t - 13*t, -t + 45 = -4*t for v.
-4
Solve -3*w - 5*r + 2 = -27, 5*w - 37*r - 26*r + 233 = -6*r + 5*r for w.
3
Solve 33*i - 29*i - 2*h - 16 = 0, 16 = i - 3*h + 7 for i.
3
Solve -g + 30 = 5*n, -6*g + g + 241 = 3*n + 245 for g.
-5
Solve 2*y - 48 + 34 = -4*j, 2*y - 759*j + 752*j = -41 for y.
-3
Solve -17*j - 17*b + 8*b + 4*b = 15, 4*j + 0*b - 3 = b for j.
0
Solve -2*k = 3*l - 2, 594*l - 593*l - 17*k - 36 = 0 for l.
2
Solve -s + 4*z = -27, -s - 20*z + 5*z = 836 - 806 for s.
15
Solve -f = -l + 14, 6489*l - 6489*l - 40 = -19*f + 36 for l.
18
Solve -9*m + 0*m = -13*f + 21*f + 35, -4*f + m = 45 for f.
-10
Solve -5*k + 2*f + 4519 = -0*f + 4461, -5*f = -2*k + 40 for k.
10
Solve -7088*v - 80 = 5*g - 7068*v, v = 4*g + 30 for g.
-8
Solve 5*c - 125 = -7*z, -5*c - 1329 = 4*z - 1454 for z.
0
Solve -86 = 6*l + 5*h, -112*l - 5*h + 26 = -113*l for l.
-16
Solve -2*a + 78 = 5*n, -n + 4*a - 240 + 238 = 0 for n.
14
Solve 5*c - 2*b = -109, 2*c - 2753*b = -2750*b - 48 for c.
-21
Solve 4*t + 441*u - 79 = 448*u, -3*t + 2*u + 17 = 0 for t.
-3
Solve -1 = 3*m - 3*y + 20, 2029*m - 2033*m - 3*y = 42 for m.
-9
Solve 92*g - 183*g + 3*h + 1 = -95*g - 1, -4*g = -3*h + 5*h for g.
1
Solve 0 = 11727*a - 11457*a + 3*v - 2160, -3*v = 3*a - 24 for a.
8
Solve -5 = -2*t + 83*l - 88*l, t - 454*l = -452*l - 11 for t.
-5
Solve -13*j - 15*j - 13*j + 15 = -26*j - s, -2*s = -4*j + 4 for j.
1
Solve -o = -15*o - 0*o + 33*l - 32*l - 22, -3 = -5*o + 3*l + 5 for o.
-2
Solve 558 - 556 = n - 3*x, -5*n + 82 = 21*x for n.
8
Solve -2*v - 13719 = i - 6883 - 6869, 87 = 5*v - 2*i for v.
17
Solve i = 2*s - 3, -5*i + 159*s - 10 + 41 = 157*s + 14 for i.
5
Solve -i - 77*w - 7 = -56*w + 57, -w = -4*i - 1 for i.
-1
Solve 0 = -5*h + 5*m - 375, 558*m - 562*m + 136 = -3*h - 92 for h.
-72
Solve -36*x + 2*k - 3*k = -38*x, -16*x + 4*k = 4 - 12 for x.
1
Solve k - 6 = 1064*j - 1059*j, -5*j + 6 = k for k.
6
Solve -2*p - s = -353 + 721 - 348, 13*s = -p - 60 for p.
-8
Solve 4*b + 4*w = -4, 75*b + 1 = -98*b + 175*b + 3*w for b.
-4
Solve -h - 91 = 3*t + 2*h - 148, -4*t - 4*t - 9*h = -157 for t.
14
Solve 139 = -3*d + 4*m, 19*d - 23*d + 244*m + 76 = 247*m - 22 for d.
-1
Solve 2*y - 38 = -2*z + 50, 4*z - 2*z = 5*y - 241 for z.
-3
Solve -4*z - 84*d + 81*d = 0, z - 2921 + 2946 = -7*d for z.
3
Solve -2*t = -3*x - 365389 + 365402, 0 = 4*t + 5*x + 37 for t.
-8
Solve w = 9*p - 2 - 6 + 57, 12*p + 5 - 17 = 16*p + 2*w for p.
-5
Solve 2*h - 9 = -7*w + 8, -517 = -3*h + 3*w - 532 for h.
-2
Solve -3*a = -5*v + 63, -286616*v + 286621*v - 2*a = 62 for v.
12
Solve t - 5*l - 140 = 0, 8103*t - 8101*t + 56 = -2*l for t.
0
Solve -4*c - w + 17 = 0, -2783*w + 2787*w + 12 = 10*c + 2 for c.
3
Solve 20 = -2*a + 4*d, -4*a + d - 9229364 + 9229352 = 0 for a.
-2
Solve -23181*i + 23175*i = -a + 89, 2*i - 3*a = -6*a - 33 for i.
-15
Solve -3*o - 5*p + 110 - 35 = 0, 4*o + 810*p = 805*p + 75 for o.
0
Solve -2*y - 2*y = -5*v + 2*v + 2*v + 7, -3*v - y = 44 for v.
-13
Solve 87*q - 66 = 83*q + 2*t, 5*q - 14*t - 175 = -9*t for q.
-2
Solve 0 = 2*b + 3*f + 3*f - f - 155 + 134, 5*b + 6*f - 59 = 0 for b.
13
Solve -73*z + 69*z + 2*i = 4, -4*z + 2*i - 3*i = 16 for z.
-3
Solve -2*b - 7*t + 52 = 0, -3*b + 4800*t = 4797*t + 3 for b.
5
Solve -f - 12 = -2*d, -4*f - 24*d - 72 = 47*d - 67*d for f.
-16
Solve p = -4*m - 3*m + m - 4, 5*p - 61 = -3*m for p.
14
Solve -5*s - 16*l - 53 - 57 = -56, 9*s + 2 = -5*l for s.
2
Solve -15*k + 1586 = -137*k - i, 0*k - 39 = -3*k + 6*k + 4*i for k.
-13
Solve -4*b + 63 = 5*w + 2, -2*w + 79 = 4*b - 0*w + 21 for b.
14
Solve -37064*n = -37064*n + 6*y + 66, 0 = 3*n + 3*y + 45 for n.
-4
Solve 0 = -4*c - 4, 5*n + 223*c - 222*c + 16 = 0 for n.
-3
Solve -3*t = -9*b - 9, -113721*b + 2*t + 34 = -113725*b for b.
-4
Solve -3*r = -16*f - 279296 + 279385, 24 = 3*f - 3*r for f.
5
Solve 0 = -227*s + 223*s - 253*a - 1052, 3*s - 4*a + 14 = 0 for s.
-10
Solve 8*z + 7*f + 16 = 12*f, -5*z - 12 + 2 = f for z.
-2
Solve 14*h - 10*h + 86*w - 2 = 81*w, -4*h - 4*w = 0 for h.
-2
Solve 42*n - 39*n + 8 = 4*u + 4, -4*n - 13*u + 4*u = -12*u + 10 for n.
-4
Solve -c = -5*n + 25, 11*n + 239 - 248 = -7*c for c.
-5
Solve -24*f = 20*q - 3*f + 4, -q - f = -3*f - 12 for q.
4
Solve 50*h = -w + 4*w - 1494 + 303, 22*w - 17*w = -5*h - 135 for h.
-24
Solve -4*o - 28*w + 16*w + 11*w = 9 + 5, 0 = 3*w + 6 for o.
-3
Solve 2*w = -0*n - 4*n - 4, -19 = -197*w + 196*w + 5*n for w.
4
Solve -3*s - 11*y + 62 = 0, -2*s + 84*y + 93*y - 179*y + 4 = 0 for s.
-5
Solve 3*v - 47*w - 144 = 0, -v + 16*w - 13 = v + 21*w for v.
1
Solve -3*r - 21 = k, -4*k + 760067 = 5*r + 760123 for k.
-9
Solve -12*z - 5*r + 7546 = 7150, 5*r = 5*z - 165 for z.
33
Solve 4*g - 5*x = 62, -3*x - 5 - 31 = -56*g + 53*g for g.
-2
Solve -3*a + 42 = -3*v, a + 0*a - 3*a + 13 = v for a.
9
Solve -4*s = 4182*h - 4185*h + 9, 18*s = 5*h - 15 for h.
3
Solve 4*o + 48 = -j - 2*j - o, -228*o + 226*o = 0 for j.
-16
Solve 3*a + 57 = -631*f + 634*f, -4*f + 60 = -3*a for a.
-16
Solve p = -5*x + 5*p - 16, -4*p + 128 = 48*x - 81*x for x.
-4
Solve -33*j - 305 = 2*t, -9*j - 12*j - 7*t + 2 = -22*j + 21 for j.
-9
Solve -14*a + 10*a + 28 = 4*y, -y + 0 = -3*a + 29 for y.
-2
Solve 3*b = -69*z + 697 - 3325, 101 = -0*z - 5*z - 89 for b.
-2
Solve 656 - 715 = -5*q + 3*t, 3*q
|
{
"pile_set_name": "DM Mathematics"
}
|
/440585079. Let f = 1171/3 - k. Which is bigger: f or 1?
1
Let c be (-680)/(-975) + 2/(-3). Let y = c - 144/455. Let f(t) = t**2 + 6*t - 5. Let w be f(-5). Which is greater: y or w?
y
Let b(c) = -2*c**3 - 17*c**2 + 8*c - 10. Let q be b(-9). Which is smaller: 1/40 or q?
q
Let d = 6156553/204 - 120739/4. Let i = -16/3 - d. Which is smaller: 0 or i?
0
Let a = -305 - -7623/25. Let f = a - 61/175. Let t be (1 + -1)/(-11 - -9). Which is bigger: f or t?
t
Let t = -160 + 172.6. Let m = 3.6 - t. Is m < -8?
True
Suppose 0 = 110*y - 146 + 36. Is -1/313 equal to y?
False
Let f = -59.13 + 0.13. Let j = f - -60. Are 0.095 and j equal?
False
Let a(l) = -l - 51. Let j be a(10). Is -63 greater than or equal to j?
False
Suppose -410 = 4*c - 402. Let m be (-4)/(-6)*(-6)/5. Which is greater: m or c?
m
Suppose -5*w + u = 307, 4*w + 263 = 7*u - 12*u. Is -63 < w?
True
Suppose -16 = -2*i + 2*w, -w - 22 = -3*i + w. Let a be -1*4*i*(-5)/(-4). Which is smaller: -1/4 or a?
a
Let m = 2637 + -2638. Does -3/215 = m?
False
Let u = -1136.2 - -1137. Which is bigger: 0.4 or u?
u
Let i = -14873/4 + 3740. Is 23 smaller than i?
False
Let d = 785 - 792. Which is smaller: -0.013 or d?
d
Let f(r) = -8*r + 14. Let x be f(2). Suppose 0*l = -5*l + 35. Let s be x - (l - 2) - -1. Are -7 and s equal?
False
Suppose 16 = 5*z - 2*k, k = 2*z + 5*k - 16. Suppose f - z*t - 16 = 0, 12 = 3*f - 4*t - 12. Does 3 = f?
False
Suppose -4*q = 4*r - 28, 17 = r + r + 3*q. Let a be 2/r - 250/580. Which is bigger: -0.1 or a?
a
Suppose 0 = 3*i - 8*i + 15. Suppose -45 = -3*p + i*w, p - 2*p = 3*w - 15. Does 29/2 = p?
False
Let g = 0.943 - 1.943. Which is bigger: g or -5/3?
g
Suppose 0 = -4*x - 4*n - 12, 4*x + 5*n + 2 = -9. Let u = 4 + x. Which is bigger: u or 2/181?
2/181
Let y = -16201 + 3612814/223. Which is smaller: y or 0?
y
Let w(n) = -n**2 + 15. Let s be w(0). Let c be (-2)/s - -1*(-746)/30. Which is bigger: 2 or c?
2
Let u be ((-468)/(-42))/(2/(-14)). Let w = 73 + u. Which is bigger: w or -3/4?
-3/4
Let s(m) = 4*m**2 - 3*m - 37. Let l be s(5). Let k = 76 + -27. Does k = l?
False
Suppose -10*r - 87 + 97 = 0. Which is smaller: r or 26/69?
26/69
Suppose 0 = -5*h - 4*z + 40, h - 4*z + 2 = -14. Suppose 40 + 76 = h*i. Let a = i - 22. Is a bigger than 7?
False
Let c = 4 + -5. Let i be 51/6 - 2/4. Suppose 3*r + 18 = 2*a, i*a + 2*r = 4*a + 52. Which is bigger: c or a?
a
Let g = -14.94 - -1.24. Let x = -14 - g. Do -7 and x have different values?
True
Let z be ((-4)/21)/((-18)/21). Let b = 4/63 + z. Is b at most as big as 3/4?
True
Let w = 12864 + -12843. Let d = -0.1 + 0.3. Is d at most w?
True
Let i(v) = -3*v + 13. Let c be i(3). Let h(s) = s**2 + 3*s + 3. Let o be h(-4). Suppose 5*b - a = -2 + o, c*a + 20 = 0. Is -3 less than or equal to b?
True
Let i = 14 - 21.8. Let n = i + 8. Which is smaller: n or -0.07?
-0.07
Let v(g) = -g**3 + 19*g**2 - 22*g + 62. Let r be v(18). Which is greater: r or -9?
-9
Let d = -0.144 + -68.856. Let i = d - -62. Which is smaller: -2/3 or i?
i
Suppose -403 + 6748 = 9*m. Is 704 equal to m?
False
Suppose -3*h - 123 = -3*n, -2 = -n + 3*h + 37. Let u = -42 + n. Is u less than -4?
False
Suppose 3*x + 1 = 4*x. Is x less than -4/149?
False
Let i be (-3 - 1 - -27)*2. Let b = 34 - i. Is -11 at least b?
True
Let u = -8 - 8. Let z = -14 - u. Suppose 6 - 4 = -z*d. Which is greater: d or -10/7?
d
Let h(a) = a**2 + 5*a - 4. Let b be h(-6). Suppose -4*u = -k - 41, -2*k + 4*u = b*k + 104. Let s be 6/(-24) + k/12. Is s > -1/4?
False
Let x be -5 - 69/(-6)*2. Are 154/9 and x equal?
False
Let b(t) = t**2 + 3*t - 23. Let l be b(-7). Let s = 15 + 2. Let i = s + -12. Is i > l?
False
Let j be -57*1*(-3)/9. Suppose 2*h + h = -4*f - j, -4*h - 37 = 3*f. Let i = 21 + h. Are 9 and i unequal?
True
Let j be -194*(-11)/(-534) + 4. Which is greater: 1 or j?
1
Let t = -25 + 24. Which is smaller: -6/59 or t?
t
Let k = -2.1 - -0.5. Let o = k - 1.6. Let g = o - 0.8. Is 2/5 equal to g?
False
Let o(g) = -11*g**2 + 10*g - 35. Let d be o(3). Which is smaller: d or -2?
d
Let b = -44 - -43.58. Let p = b + 0.72. Let l be ((-2)/6)/((-1)/(-2)). Which is smaller: l or p?
l
Let f(v) = -v**2 - 16*v - 5. Let p be f(-15). Let s be (9/(-2))/((p/4)/(-5)). Which is smaller: 8 or s?
8
Suppose 2311 = 15*f + 931. Are f and 830/9 nonequal?
True
Let w(r) = 25 - 9 + 4*r + 3*r - 5*r. Let j be w(-8). Let u(s) = -s**2 - s. Let d be u(j). Which is bigger: 4/7 or d?
4/7
Let f = -165 + 165. Which is bigger: f or 125?
125
Suppose 16*n = 15*n + 116. Let r = n - 99. Are 17 and r equal?
True
Let f = -15354 - -46459/3. Which is smaller: f or 132?
132
Let s be ((-3)/(-3 - 3))/((-3)/(-1524)). Is s at least as big as 253?
True
Suppose -92*t + 90*t + 68 = 0. Suppose -5*x + 1 = 4*a, 5*a - 2*x - t = -8. Is 4 >= a?
True
Suppose 3*j + j = -24. Let v be 30/(-24) + j/8. Which is smaller: v or 0?
v
Let n be (1 + (-53)/3)*(-6)/(-4). Let f(a) = 3*a**2 + a. Let h be f(-2). Let d = h + -35. Is n greater than d?
False
Let b = 7 + -3. Let n be (-4)/10 + 58/55*b. Are 3 and n equal?
False
Suppose 188 = -2*z - 0*t - 2*t, -400 = 4*z - 2*t. Let k = -122 - z. Which is smaller: k or -26?
-26
Let a be (-8)/60*2/(-8). Let f(u) = -u**3 + 6*u - 3. Let i be f(-3). Let n be (6/9)/1*i/4. Is a > n?
False
Let q = -78 + 73. Which is smaller: -3/11 or q?
q
Let z be 2/1 + -11 - -2. Let v = z + 1. Suppose x - 2*y = -9, -5*y + 36 = -3*x + 11. Which is greater: x or v?
x
Let d = -8/413 + 18/59. Which is smaller: 65 or d?
d
Suppose -5 = -2*o - b, o - 2*b - 14 = -3*o. Suppose 4 - o = -2*a + c, a - c = 0. Which is smaller: -1/3 or a?
a
Let l be (18/315)/((-1)/5). Let x be 12*3*(-3)/(-6). Let d be (-1)/(-2)*x/3. Which is bigger: d or l?
d
Suppose 0 = -3*k - 3*m + 81, 9*k = 14*k + m - 115. Suppose k - 148 = 6*x. Is -21 less than or equal to x?
True
Let h = -14 - -17. Suppose 11 = -4*y + h. Let d = -11/58 + -445/406. Are y and d non-equal?
True
Let g(v) = v**2. Let o be g(0). Let k = -419/3717 - -2/1239. Is o != k?
True
Let v be ((-10)/(-4))/((-11)/(-22)). Suppose -p + v*q + 45 = 4*p, q = -2*p + 3. Suppose -p*h - 6 = -2*h. Is -2 != h?
True
Let k be -2 + 0 - (-4 - 3). Let t be (-2 + (k - 3))/(-2). Suppose -n + t*i + i = 2, 0 = -4*n + 3*i - 6. Which is greater: n or 1?
1
Let l be (-206)/(-13) + 34/221. Which is greater: 21 or l?
21
Suppose -t + 27 = -2*v, -3 = -t + 3*v - 7*v. Let o = 5/6 - 3/2. Which is smaller: o or t?
o
Let g = -78 + 81. Let o = 0.8 + 2.2. Let w = g - o. Which is smaller: 0.2 or w?
w
Let z = -1683/212 - -588475/69748. Let x = z + -10/47. Which is smaller: 78 or x?
x
Suppose -18*q - 26*q = -4312. Do 94 and q have different values?
True
Let r be ((-48)/20)/((-15)/100). Let m = r + -11. Suppose -3*h + 6 - 4 = -2*l, -l + 21 = 4*h. Is m at least l?
True
Let w = -0.3 + -0.7. Let r = -30.24 - -30.12. Is w >= r?
False
Let q = 1247 + -1247. Is -1/1695 <= q?
True
Let k = -27 - -31. Let f be k + (-35)/10 + (-1)/2. Is 5 greater than or equal to f?
True
Let c = -69 + -22. Let w = c + 110. Is w at least 20?
False
Let r = -1224 + 3733/3. Let d = r + -18. Let w = -4 + 7. Which is bigger: d or w?
w
Let h = -13109/120 + -1312087/4440. Let n = 405 + h. Let r = -321/407 + n. Is r smaller than -0.1?
True
Let t be -2*(11/((-220)/(-765)) - -2). Are -82 and t equal?
False
Let i(d) be the first derivative of -d**4/24 + d**3/6 - 5*d**2/2 + 3. Let p(k) be the second derivative of i(k). Let w be p(-4). Is 7 at least w?
True
Let q(j) = j**2 + 2*j + 1. Let k be q(-3). Let v be k/(-10) - 738/(-495). Is 2 greater than or equal to v?
True
Let d = -638 - -560. Which is smaller: -77 or d?
d
Let b = 579/1247 + -17/43. Let r = b + -35/87. Let z = 26 + -103/4. Which is bigger: z or r?
z
Let i = -28777 + 56253/2. Which is smaller: i or -651?
-651
Suppose -9*o = -7*o + 56. Let c = o + 27. Which is bigger: -1/4 or c?
-1/4
Let j(a) = -a**2 - 4*a - 2. Let y be j(-3). Let q(z) = 9*z**2 - 2. Let u be q(-2). Let g be u/16 + (-9)/72. Is g >= y?
True
Suppose 12*u = -1319 + 7703. Which is smaller: u or 531?
531
Let s(q) = -q**3 + 3*q**2 + 3*q - 2. Let w be s(3). Suppose 4*r = w*r + 12. Let p be 12/27*2/r. Is p at least as big as 0?
False
Let k(p) = -3*p**2 + 13*p + 8. Suppose 2*u - 14 = -2*z, 2*z - 1 = -3*u + 20. Let b be k(u). Is b != -47?
True
Suppose 5*q + 6*g = 3*g + 2, 0 = 5*q - 4*g - 9. Is q less than 15/29?
False
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
c**2 - c + 5 - c - 207*c**2. Let y be 2/(-8) - 9/(-4). Let v(l) = -4*l**2 + l - 2. What is y*a(m) + 5*v(m)?
-2*m**2 + m
Let j(c) = 4*c - 1. Let t(v) = 7*v + 37. What is j(w) - t(w)?
-3*w - 38
Let r(l) = 65*l**2 + 40*l + 40. Suppose 2*c - 3*c + 40 = -6*a, 0 = 5*a. Let y(z) = -2*z - 5 - 3*z**2 - 2*z**2 + 2 - z. Determine c*y(k) + 3*r(k).
-5*k**2
Let z(s) = s**3 + 7*s**2 - 14*s + 33. Let b be z(-9). Let q(y) = y**2 - y + 1. Let t(g) = 6*g**2 - 5*g + 5. What is b*t(j) + 15*q(j)?
-3*j**2
Let y be 6 - (7/21)/((-2)/30). Let u(q) = 5*q + 10. Let w(g) be the third derivative of -3*g**4/8 - 19*g**3/6 + g**2. What is y*u(m) + 6*w(m)?
m - 4
Let f(o) = -221*o + 457*o - 2 - 243*o + 7*o**2. Let k(y) = -y**2 + y. What is f(m) + 6*k(m)?
m**2 - m - 2
Let r(n) = -n - 1. Let l(k) = 18 - 4*k - 2*k**3 + 21 - 40. Give -l(w) + 2*r(w).
2*w**3 + 2*w - 1
Let p(l) = 3*l**2 - 3*l - 5. Let b(k) = k**3 + 4*k**2 - 5*k - 6. What is -3*b(j) + 4*p(j)?
-3*j**3 + 3*j - 2
Let x(i) = -3*i**3 + 502*i**2 + 4*i + 8. Let p(v) = 5*v**3 - 1004*v**2 - 7*v - 14. Determine 4*p(d) + 7*x(d).
-d**3 - 502*d**2
Let v(r) be the second derivative of 0 - 1/4*r**4 + 8*r + 1/2*r**2 + 0*r**3. Let w(l) = 2*l**2 - 1. Give 5*v(y) + 8*w(y).
y**2 - 3
Let g(b) = -8*b**3 + 4*b**2 - 58*b. Let l(y) = 17*y**3 - 9*y**2 + 117*y. Give -9*g(p) - 4*l(p).
4*p**3 + 54*p
Let f be (-18)/(-4)*(-300)/(-18). Let d = f - 79. Let w(x) = 8*x**2 + 9*x + 9. Let y(b) = b**2 + b + 1. Calculate d*w(v) + 36*y(v).
4*v**2
Let s(r) = -2*r**2 - 4*r - 6. Let o(k) = -3*k**2 - 5*k - 8. Let x(q) = -3*o(q) + 4*s(q). Let p(y) = 3*y**2 - 2*y. Give p(j) - 2*x(j).
j**2
Let d(x) = -x. Let j(t) = 3*t + 2. Let p(o) = 7*d(o) + 4*j(o). Let m(z) = -4*z - 7. Calculate -3*m(l) - 2*p(l).
2*l + 5
Let b(u) = -20*u - 155. Let m(f) = -7*f - 55. Let v(a) = 6*b(a) - 17*m(a). Let t(o) = -1. Let p be 4/6*66/(-4). What is p*t(l) - 2*v(l)?
2*l + 1
Let f(d) = 8*d**2 - 5*d + 3. Let v(r) = -10*r**2 + 6*r - 5. Give -6*f(p) - 5*v(p).
2*p**2 + 7
Let g(r) be the second derivative of 7*r**3/6 - 2*r**2 - r. Let z(m) = 6*m - 3. Suppose -5*d + 2*d + 18 = -3*a, 0 = -4*a - 3*d + 4. Give a*g(t) + 3*z(t).
4*t - 1
Let c(j) = -6*j + 4. Let y be 12/6 + (7 - (0 - -1)). Let i(n) = 17*n - n + 9*n + y - 25. What is -9*c(o) - 2*i(o)?
4*o - 2
Let z(k) = -2*k + 5. Let w(y) = 1 - 21*y + 5 - 11*y + 30*y. Suppose -2*x + 72 = x. Let f = -19 + x. What is f*z(n) - 4*w(n)?
-2*n + 1
Let r(y) = -28*y - 96. Let p(m) = 7*m + 22. Determine -26*p(g) - 6*r(g).
-14*g + 4
Let z(m) = -110*m. Let c(x) = -220*x - 1. Give 4*c(j) - 9*z(j).
110*j - 4
Let n(l) = 3*l**3 + 2*l**2 - 2. Let q(d) = 9*d**3 + d - 26*d**2 + 55*d**2 - 22*d**2 - 7. What is -7*n(r) + 2*q(r)?
-3*r**3 + 2*r
Let t(y) = -y. Let z(q) be the first derivative of -7*q**2/2 + q - 131. Calculate -6*t(n) + z(n).
-n + 1
Suppose 0 = 2*m - 2*z - 18, 4*m + 2*z - 7*z = 40. Let s(f) = -9*f**3 + 4*f**2 - 5. Let u(t) = -10*t**3 + 5*t**2 - 6. What is m*u(r) - 6*s(r)?
4*r**3 + r**2
Let v(n) be the third derivative of -n**4/12 - 266*n**2. Let r(s) = 3*s. Calculate -4*r(u) - 3*v(u).
-6*u
Let f be 18/(-30) + 18/5. Suppose 2 = 8*u - 22. Let m(z) = z**3 - z**2 + z + 1. Let i(q) = q**2 - q - 1. Determine f*m(d) + u*i(d).
3*d**3
Let y(s) = 7*s**2 - 8*s + 5. Let x(l) = -2*l**2 + 3*l - 2. Give -11*x(g) - 4*y(g).
-6*g**2 - g + 2
Let g(j) = -4*j**3 + 14*j**2 - 2*j + 7. Let l(c) = 3*c**3 - 9*c**2 + 2*c - 5. What is -5*g(u) - 7*l(u)?
-u**3 - 7*u**2 - 4*u
Let a(t) = 2*t + 1. Let q be 5/((0 - -1)/1). Let z(r) = -2*r - 80 + 45 + 36 + 5*r. Determine q*a(y) - 3*z(y).
y + 2
Let c(v) = 2*v**2 + v - 1. Let q(h) = -h**2 - h + 1. Let p = 40 - 37. Let s be 0 - (-3 - (2 - p)). What is s*c(w) + 3*q(w)?
w**2 - w + 1
Let s(t) = 6*t**3 + 20*t**2 + 14*t - 8. Let o(n) = -4*n**3 - 13*n**2 - 9*n + 5. Suppose 12*x - 128 = -4*x. Calculate x*o(b) + 5*s(b).
-2*b**3 - 4*b**2 - 2*b
Let i(b) = 4*b + 1. Let u = -9 + 16. Suppose -20 = -4*d + j, 4*d - 2*j - 1 - 19 = 0. Let z(g) = d*g - u*g - g. Determine 2*i(h) + 3*z(h).
-h + 2
Let s(n) = 20*n**3 - 9*n**2 - 2*n. Let u(f) = -9*f**3 + 4*f**2 + 2*f. Determine 2*s(w) + 5*u(w).
-5*w**3 + 2*w**2 + 6*w
Let t(s) be the first derivative of 23*s**4/4 - 8*s**3/3 - 4*s**2 + 3. Let b(o) = -15*o**3 - 27*o**2 + 3*o + 32*o**2 + 3*o - o. What is 8*b(c) + 5*t(c)?
-5*c**3
Let r(z) = -23*z + 7. Let p(q) = -15*q + 5. Let u(k) = -8*p(k) + 5*r(k). Let b(n) = 6*n - 6. Determine 6*b(t) - 7*u(t).
t - 1
Let z(d) = 5*d**3 + 2*d + 1. Let p(y) be the second derivative of -1/5*y**5 - 1/3*y**3 - 1/2*y**2 + 2 + 6*y + 0*y**4. What is -6*p(n) - 5*z(n)?
-n**3 + 2*n + 1
Let n(k) = -5*k - 1 + 2 + 4 + 5*k**2 - 64*k**3 + 68*k**3. Let s(j) = 2*j**3 + 2*j**2 - 2*j + 2. Give 2*n(d) - 5*s(d).
-2*d**3
Let l = 1 - -2. Let c(o) = 16 - 5 + 14 - 29 + 7. Let g(d) = 3*d - 4*d + 2*d + 21. Calculate l*g(w) - 21*c(w).
3*w
Let s(y) = -74*y**3 - y**2 - 5. Let x(p) = -111*p**3 - 2*p**2 - 8. Give -8*s(d) + 5*x(d).
37*d**3 - 2*d**2
Let c(b) = -5*b - 1. Let a(q) = q. Let w(v) = 4*a(v) + c(v). Let s be (-36)/(48/16)*(-2)/(-4). Let f(l) = -4*l - 8. What is s*w(n) + f(n)?
2*n - 2
Let j(m) = 260*m**3 + 4*m. Let w(b) = -523*b**3 - 9*b. Calculate 7*j(a) + 3*w(a).
251*a**3 + a
Let b(w) = -w**2 + 11*w - 17. Let q be b(8). Suppose 10 = q*u - 2*u. Let f(t) = 2*t - 2. Let i(v) = -v**3 - 3*v + 3. Calculate u*i(n) + 3*f(n).
-2*n**3
Let a(m) = -23*m + 3. Let b(c) = -93*c + 13. Calculate -9*a(y) + 2*b(y).
21*y - 1
Let t(z) be the first derivative of -z**4/4 - z**3 - 3*z**2/2 + z + 169. Let h be (0/(-3) + -1)*3. Let g(m) = 2*m**2 + 2*m. Give h*g(r) - 2*t(r).
2*r**3 - 2
Let k(r) = -r - 2. Let d(b) = -521*b**2 - 2605*b - 5210. Give d(p) - 2605*k(p).
-521*p**2
Let k(g) = 27*g**2 - 167*g + 3. Let t(d) = -74*d**2 + 500*d - 8. Give -11*k(i) - 4*t(i).
-i**2 - 163*i - 1
Let g(p) = -2*p + 5. Let y(h) = -3*h + 3. Let u(x) = -1. Let j(s) = -3*u(s) - y(s). Let n(b) = b - 1. Let o(q) = -j(q) + 4*n(q). Calculate 3*g(c) + 4*o(c).
-2*c - 1
Let l(w) = -1001*w**3 - 22. Let t(b) = 200*b**3 + 4. Give 2*l(i) + 11*t(i).
198*i**3
Let s(h) be the second derivative of h**5/20 - 7*h**4/12 - h**3 - h**2/2 - 98*h. Let n(i) = -i**3 + 6*i**2 + 5*i + 2. What is 6*n(j) + 5*s(j)?
-j**3 + j**2 + 7
Let x(s) = 2*s**3 + 11*s**2 + s + 9. Let i(n) = -n**3 - 5*n**2 - n - 4. Give -5*i(o) - 2*x(o).
o**3 + 3*o**2 + 3*o + 2
Let s(b) = -5 - 1 - 5 + 9*b**3 - 7*b - 7*b**2 + 6. Let v(d) = 5*d**3 - 4*d**2 - 4*d - 3. Determine 3*s(p) - 5*v(p).
2*p**3 - p**2 - p
Let a(j) = -j**3 + 7*j**2 - 4*j + 1. Let c(w) = -3*w**3 + 23*w**2 - 14*w + 4. What is 10*a(y) - 3*c(y)?
-y**3 + y**2 + 2*y - 2
Let q = -22 + 28. Suppose -2*u = -3*p + q + 6, -15 = 3*u - 3*p. Let h(s) = 2*s**2 - 7*s + 4*s - 8*s**2. Let l(x) = -5*x**2 - 2*x. What is u*l(j) + 2*h(j)?
3*j**2
Let n(g) = -g**3 - 5*g - 4. Let x(h) = h**3 + 2*h**2 + 4*h + 3. Calculate -5*n(k) - 6*x(k).
-k**3 - 12*k**2 + k + 2
Let t(w) = -w - w**3 - 1 - 112*w**2 + 49*w**2 + 33*w**2 + 29*w**2. Let q(z) = -4*z**3 + 3*z**2 + 2*z + 3. Give -q(g) - 3*t(g).
7*g**3 + g
Let f(h) = 353*h - 1 + 349*h + 3 - 699*h. Let p(m) = -95*m - 65. Calculate 195*f(u) + 6*p(u).
15*u
Let c(q) = -86*q**2 + 5*q + 9. Let k(r) = -43*r**2 + 3*r + 5. What is -3*c(a) + 5*k(a)?
43*a**2 - 2
Let k(m) = 122*m + 3. Let b(z) = 1. Calculate -5*b(l) + k(l).
122*l - 2
Let o(w) = w**3 - w - 1. Let h(s) = -s**3 + 3*s**2 + 4*s + 4. Suppose 9*v + 12 = 21. Determine v*h(k) + 4*o(k).
3*k**3 + 3*k**2
Let k = -10 + 15. Let l be (2/(-5))/(k/(-150)). Suppose 4*t + 4 = -l. Let g(j) = 3*j**2 - 4*j - 2. Let v(y) = 7*y**2 - 9*y - 5. Determine t*v(f) + 9*g(f).
-f**2 + 2
Let r be -6 - (18 - 8 - 20). Let c(n) = -n - 5. Let z(o) = -o - 4. Determine r*c(s) - 3*z(s).
-s - 8
Let c(b) = b - 1. Let r(s) be the first derivative of -s**2/2 + 2*s + 716. Suppose 4 = 3*k + k. Determine k*c(p) - r(p).
2*p - 3
Let w(h) = -14058*h + 110. Let o(p) = -380*p + 3. What is 110*o(q) - 3*w(q)?
374*q
Let l(d) be the first derivative of d**3/3 + d**2/2 - d - 234. Let w(b) = 6*b**2 - 1. Determine l(f) - w(f).
-5*f**2 + f
Suppose 3*w + 4*y - 1 = 4, -3*w + 10 = 5*y. Let c(t) = -2*t + 9. Let i(b) = 1. Let d(o) = c(o) - 4*i(o). Let n(g) = 973 - 486 - 486. Determine w*n(a) + d(a).
-2*a
Let m(k) = -4*k**2 - 15*k + 11. Suppose -4*c - 40 = -2*a, 0*a - a + 8 = c. Suppose 0*d + a = 2*d. Let g(h) = -2*h**2 - 7*h + 5. What is d*m
|
{
"pile_set_name": "DM Mathematics"
}
|
. What is the closest to -1 in -0.1, 0, s?
-0.1
Let j(v) = -v**2 - 2*v + 2. Let f be j(-3). Let u be 0 + (1 - 1) + f. Which is the closest to 0? (a) 1/7 (b) -0.1 (c) u
b
Suppose -s - 6 = -4*j + 5, 0 = -4*j - s + 5. Suppose 520 = j*x - 7*x. Let k be 4/(-18) - x/306. Which is the nearest to 1/3? (a) k (b) 3 (c) 2
a
Let q = 6 - 6.1. Let y = 5 + -7. Which is the closest to q? (a) y (b) -5 (c) 4
a
Let f = -4 - -8. Let d = -7/13 + 75/91. Which is the closest to d? (a) -0.1 (b) f (c) -5
a
Let b = 1 + -4. Let v be 1*b/3 + 4. What is the closest to 0 in -0.4, 0.5, v?
-0.4
Let x = 48 + -45. Suppose 2*g = 15 - 3. Let l be -2 - (-2 - (-2)/g). Which is the closest to l? (a) 5 (b) -3 (c) x
b
Let u be -430*(6/9 - 1). Let y = 142 - u. Which is the closest to 1? (a) 0.5 (b) y (c) 3/5
c
Let q be 3/4 + 2/(-4). Which is the closest to -2? (a) 1 (b) -5/2 (c) q
b
Let q = -16 - -16.5. What is the closest to 0 in -3, 1/9, q?
1/9
Let u = -10 - -1.9. Let p = 0.1 + u. Let z = p + 7.8. Which is the nearest to 0? (a) -0.4 (b) z (c) 3
b
Let p be ((-10)/60)/((-1)/2). Suppose -3*k - 2*y - 2*y - 3 = 0, -4*k = -y + 4. What is the closest to k in 0.4, 0.3, p?
0.3
Let k be (1*(-1)/2)/2. What is the closest to 1 in k, 1/5, 4?
1/5
Let r be -1 - (-1)/(42/38). Which is the nearest to -3? (a) -5 (b) -1/3 (c) r
a
Let j = 25 + -24.6. Which is the closest to 2/9? (a) -5 (b) j (c) -2/3
b
Suppose 4*n = 3*n + 3*f - 11, 2*n = 3*f - 10. What is the nearest to n in -0.5, 3/4, -1?
3/4
Let y be (6/(-735))/(48/15 - 3). What is the closest to -1 in -0.3, y, 1?
-0.3
Let y = 0.077 - 5.077. What is the closest to -3 in y, 3/4, -4?
-4
Let f be (-18)/(-30) + (-2)/(-5). Which is the closest to f? (a) 1 (b) -6 (c) -2/11
a
Suppose -3*b + 17 = 5*p, -4*p + 11 = 3*b - 2. What is the nearest to -0.1 in -10, p, 2/23?
2/23
Let b = -57/11 - -721/33. Let x = b + -33/2. Let a = -3.6 - -4. What is the nearest to -1 in -4, a, x?
x
Let t be -3*(3 + 2/(-1)). Which is the nearest to -1? (a) -1/2 (b) 3/7 (c) t
a
Let r be (-5 - 41/(-8))*-2. Let n = 10.2 - 8. Let t = n - 2. Which is the nearest to r? (a) 3 (b) t (c) 1/3
b
Let d be ((-3)/(-1) - 1)*2. Suppose d*l + 1 = 9, -5*u = -l - 23. Let s be (-3)/21*(-4)/(-2). What is the nearest to 1 in 4, s, u?
s
Let d = 30 - 14. Suppose 0 = 5*x + 1 - d. Which is the closest to -1/3? (a) x (b) 5 (c) 0.2
c
Let v = -4 - -4.4. Let h = v - 0.4. Let a = h - 0.2. What is the closest to -1/4 in -2/17, -1, a?
a
Suppose 7*z - 2*z - 10 = 0. Let y be 1 + 1 - (-14)/(-8). Let h(f) = f**2 + 3*f. Let v be h(-3). Which is the closest to -0.1? (a) z (b) y (c) v
c
Let g(s) = 3*s + 22. Let y be g(-8). Which is the closest to y? (a) 3/5 (b) 2/7 (c) -0.2
c
Let x(u) = u**3 - 11*u**2 + u - 7. Let h be x(11). Suppose 0*c = -h*c. What is the nearest to 0 in c, -3/7, 1/3?
c
Let y be (-4)/(-6)*2/4. Let n = 9185 - 440855/48. Let g = n + -1/48. What is the nearest to g in 2/7, -1/3, y?
y
Let j = 0.5 + -3.5. Let d(t) = -8*t - 3. Let w be d(-6). Let m be -4*(w/96)/(-5). Which is the nearest to 1/4? (a) j (b) 2/7 (c) m
b
Let l = 5.3 + -1.3. What is the closest to -0.1 in 1, l, -1/5?
-1/5
Let z be (14/(-3))/((-14)/(-21)). Let w(u) = -u - 2. Let p be w(z). Let c = -39 - -75/2. What is the nearest to 1 in p, 1/2, c?
1/2
Suppose 4*x + 5 = 9. What is the nearest to x in -0.1, -0.4, 1/6?
1/6
Let c = -38 - -38.3. What is the closest to 0.1 in -0.5, c, -1/4?
c
Let d = -0.1 + 0.1. Let y be 0/(12/(-16)*(-6 - -10)). Let s = -2 - -4. Which is the nearest to y? (a) d (b) s (c) -1
a
Let l = 10 + -11. Which is the nearest to l? (a) -2 (b) -5 (c) 2/25
a
Let v be (-3)/9*1 + 1. Let o = 0.1 - 0.5. Let m = -0.1 + o. What is the closest to v in m, 4, -2?
m
Let o be ((-55)/165)/((-2)/30). Suppose -2*i + 16 = 3*y, -3*y - 2*i + 20 = 2*i. Let u be (0*2/y)/2. What is the nearest to 0.1 in -2, u, o?
u
Let r = 12 - 11. What is the closest to -7 in r, -2, 1/12?
-2
Let p = -12 + 12. Let v = -1/6 - -1/2. Which is the closest to 1/5? (a) v (b) p (c) -2
a
Let i be 44/88 - ((-3)/(-2) - 0). Which is the nearest to i? (a) 4 (b) -0.1 (c) -1
c
Let k = 0.02 + -0.12. Let g = 0.76 + -0.26. Let w = 1 - 2. Which is the nearest to 1? (a) g (b) w (c) k
a
Let d be (-1)/(-3)*-1*(2 + -3). Which is the closest to d? (a) -5 (b) 0.1 (c) -0.05
b
Let j be (-3)/(-12) - (-22)/(-24). Let f = 0 + 0.2. Suppose 6 - 2 = -2*k. Which is the closest to k? (a) j (b) f (c) -4
a
Let b = 0.001 + -3.001. What is the closest to 2/7 in b, 0.5, -12?
0.5
Let t = 23.6 + -24. Which is the nearest to 1? (a) t (b) -1/5 (c) 5
b
Let l = -8 + 3. Let c = 16.1 + -16. What is the closest to 4 in l, -2/5, c?
c
Let f = 201 + -1605/8. Let p = 155/164 - 8/41. Let y = -0.3 - -0.3. Which is the closest to y? (a) p (b) 1 (c) f
c
Suppose -4*t = -1 - 15. What is the nearest to -0.2 in -2, t, -0.4?
-0.4
Let p(x) = -x**3 + 5*x**2 - 3. Suppose 5*m + 2*q = 19, -20 = -m - q + 6*q. Let n be p(m). Which is the nearest to 0.1? (a) n (b) -4/3 (c) 3/7
c
Let u = -13 + 21. Suppose 16*t - 14*t + u = 0. Let k = -2 + 3. Which is the closest to k? (a) 2 (b) t (c) -2
a
Let j be 27/(-28) - 2/7. Let y = -1 - 0. Let x be -2*(14/4 + y). Which is the nearest to 0? (a) 4 (b) x (c) j
c
Let g = -607/21 - -88/3. What is the closest to 0 in g, 2/3, -4?
g
Let y(f) = -f**3 + 3*f**2 + 4*f - 4. Let k be y(4). Let j = 41.9 + -42. Which is the closest to j? (a) k (b) 0.3 (c) -2
b
Suppose -10 = 3*o - h, 3*h = 5*o - h + 26. Suppose -2*k - 24 = 4*i, -4*k = -2*i + 4 - 16. Let w be 4/24*i/4. What is the nearest to w in o, -2/7, -0.5?
-2/7
Let l = -3.91 - 0.09. Let u = -9 - l. Let g = 8 + u. Which is the closest to 2/7? (a) 1 (b) 5 (c) g
a
Let m = -261 + 260.8. Suppose 4*v + o - 19 = 0, o + 2 = v + 4*o. Which is the nearest to m? (a) 1/2 (b) -5 (c) v
a
Let m = 2 + -2.4. Let s(j) = 10*j + 1. Let i be s(2). Suppose 0*o - i = -3*o - 3*y, -24 = -3*o - 4*y. Which is the nearest to 0? (a) o (b) m (c) 0.3
c
Let r = -0.48 - -0.1. Let w = -0.08 - r. Which is the nearest to 0? (a) 5/4 (b) 2 (c) w
c
Suppose 5*h = -2*x - 65, 4*h = -x + 2*x - 65. Let v be (-10)/h + (-2)/4. Let k = 2 - 2.2. What is the nearest to 0 in v, 0.1, k?
0.1
Let q = 25 + -101/4. Let t = -103 + 719/7. Which is the closest to q? (a) -1/4 (b) 2 (c) t
a
Let z = -0.34 + 0.34. Which is the nearest to 0? (a) z (b) 2 (c) -1/2
a
Let a be 1/(((-1)/1)/(-1)). Let x be (2*a)/(1 - 4). Let s = 4.5 + 0.5. What is the closest to x in 4, s, 1?
1
Let s be (-12)/(-6) + (-16)/6. Let m be 60/(-14) - (-1 - 3). What is the nearest to -0.1 in m, s, 4?
m
Let p be (-6)/(-8) - 30/8. Let j be (p/(-5))/((-4)/10). What is the nearest to 2/3 in 4, 1, j?
1
Suppose -4 = -3*g + 7*g. Let j = 3 + -3. Let k = 0.31 - 0.41. Which is the nearest to 0.1? (a) g (b) j (c) k
b
Let w = 17 - 16.8. What is the closest to 2/7 in -4, -0.1, w?
w
Let l = -11 - -20. Let w be (2 - -9)*3/l. Let k = w - 4. Which is the nearest to 0? (a) 0.3 (b) 2/5 (c) k
a
Let j = 0.51 - 0.21. Which is the nearest to -2/3? (a) 4 (b) -0.4 (c) j
b
Let o = 0.09 - 6.09. Let y = -6.1 - o. What is the closest to -1/2 in -2/5, y, 4?
-2/5
Let n be (21/6)/(-7) + 0. Let v = 3.8 + 0.2. Let t = 5 + -4.8. What is the closest to 0.2 in t, n, v?
t
Let g be 13/18 - ((-1)/2 - -1). Which is the closest to -0.1? (a) g (b) -2 (c) -0.1
c
Let p(s) = -s**3 - s**2 + 5*s - 4. Let o be p(-3). Which is the closest to o? (a) 2/7 (b) 0.3 (c) 3
a
Let j = -0.8 - 4.2. Let v(a) = -9*a - 8. Let w be v(-6). Let z = w - 137/3. What is the nearest to z in -0.4, j, 2?
-0.4
Let u = 0.28 + 1.65. Let v = 0.07 + u. Which is the nearest to -5? (a) v (b) 2/5 (c) -5
c
Let i = 3 - 5. Let v = 0.26 - 0.06. Which is the closest to v? (a) -1 (b) 1 (c) i
b
Let l = -28 + 30. Which is the closest to -1? (a) l (b) 1 (c) -1/4
c
Let p = 0.2 + 0.3. Let j = -0.14 - -0.04. Which is the nearest to j? (a) p (b) 3 (c) 2
a
Let v be 15/(-6)*32/680. Let m be (-9)/(-4) - (3 - 1). Let q = -0.3 - -0.1. Which is the nearest to m? (a) v (b) 0 (c) q
b
Let r = 33 - 38. Let i = 0 - -2/7. Which is the nearest to -1? (a) -3/5 (b) r (c) i
a
Let t = 5 - 5.3. What is the nearest to 2/7 in 3, t, 2?
t
Suppose z = 13*z - 24. What is the closest to 20 in -5, z, 5?
5
Let g = 6 - 20. Let f b
|
{
"pile_set_name": "DM Mathematics"
}
|
in -2*i - 3*i - 4*i + 7*i.
-2*i
Collect the terms in 1 - 4*i**3 + i**3 + 0*i**3.
-3*i**3 + 1
Collect the terms in -3*w**3 - 27*w**3 - 12*w**3.
-42*w**3
Collect the terms in 777*g**3 + 4*g**2 - 4*g**2 - 780*g**3.
-3*g**3
Collect the terms in -57*v**2 + 108*v**2 - 55*v**2.
-4*v**2
Collect the terms in 6*k**3 + 4*k**3 - 5*k**3 + 10*k**3.
15*k**3
Collect the terms in 26*n**3 + 30*n**3 + 30*n**3 - 108*n**3 + 24*n**3.
2*n**3
Collect the terms in 24 + 26 - 10*k + 32 - 82.
-10*k
Collect the terms in -n**3 - 4*n**3 + n**3.
-4*n**3
Collect the terms in 3*n - 38*n**2 - 3*n + 0*n.
-38*n**2
Collect the terms in -26*c + 19*c + 10*c.
3*c
Collect the terms in -5 - 121*o + 5.
-121*o
Collect the terms in -2 + 0 + 2 + 7*c.
7*c
Collect the terms in 8*s - 27*s + 8*s + 13*s.
2*s
Collect the terms in 3279*f - 3279*f - 12*f**3.
-12*f**3
Collect the terms in 71*p**3 + 7*p**3 - 83*p**3.
-5*p**3
Collect the terms in -8 + 7 - 2*i**3 + 1.
-2*i**3
Collect the terms in n - n + 4*n**2 + 44*n**2.
48*n**2
Collect the terms in -264*n + 135*n - n**3 + 129*n - 6*n**3.
-7*n**3
Collect the terms in -5*l**3 - 3453*l**2 - l**3 + 3453*l**2.
-6*l**3
Collect the terms in -15*i + i**2 + 15*i.
i**2
Collect the terms in 8*c**3 - 4*c**3 + 0*c + 0*c.
4*c**3
Collect the terms in -20*s**2 + 65*s**2 - 19*s**2 - 19*s**2.
7*s**2
Collect the terms in -9*d**3 - 9*d**3 + 13*d**3.
-5*d**3
Collect the terms in -178*g**2 + 2 - 2 + 170*g**2.
-8*g**2
Collect the terms in 1180*c - 1180*c - 4*c**3.
-4*c**3
Collect the terms in 3*p**2 - 9*p**2 + 164*p - 168*p.
-6*p**2 - 4*p
Collect the terms in 2*u**3 + 3 + 14*u**2 - 14*u**2.
2*u**3 + 3
Collect the terms in 40*w + 51*w - 84*w.
7*w
Collect the terms in 2*l + 3*l - 4*l - 2*l.
-l
Collect the terms in -12940*p + 12939*p - 14*p**3 + 5*p**3.
-9*p**3 - p
Collect the terms in 2 - 2 - 25977*z**2.
-25977*z**2
Collect the terms in 9*l - 1 + 16*l - 7 + 8.
25*l
Collect the terms in -10*n**2 + 4*n**2 - n**3 - 7*n**2.
-n**3 - 13*n**2
Collect the terms in -4 + 2 - 232*h**3 + 2.
-232*h**3
Collect the terms in -210*k + k**2 + 210*k.
k**2
Collect the terms in 10*p - 7 + 8 - 6 + 5.
10*p
Collect the terms in -h + h + 0*h - 4*h + 5*h.
h
Collect the terms in -3*z**2 + 288 - 288.
-3*z**2
Collect the terms in 45*k + 20 - 20.
45*k
Collect the terms in 10*t**2 + 13*t**2 - 2*t**3 - 29*t**2 + 6*t**2.
-2*t**3
Collect the terms in 8*w**2 - 2*w + 2*w.
8*w**2
Collect the terms in 4*d - 4*d + 5*d + 0*d.
5*d
Collect the terms in -12*r**3 + 21*r**3 - 12*r**3 - 119*r.
-3*r**3 - 119*r
Collect the terms in -277 + 277 + 4*w**3 + 3*w**3.
7*w**3
Collect the terms in -12 - 36*i**3 + 26*i**2 - 26*i**2.
-36*i**3 - 12
Collect the terms in 17*u**2 - u**2 + 3*u**2 + 12*u**2.
31*u**2
Collect the terms in 3*j**3 - 10*j**3 + 109*j**3.
102*j**3
Collect the terms in 2 - 1 - 1 - 118*a.
-118*a
Collect the terms in -102*u**3 + 27*u**3 + 33*u**3 + 37*u**3.
-5*u**3
Collect the terms in 3 - 3 - 2 - 6*k - 14*k.
-20*k - 2
Collect the terms in -167*v**2 + 1960 - 1960.
-167*v**2
Collect the terms in 7*s**2 - 723 - 6*s + 723.
7*s**2 - 6*s
Collect the terms in -2*y - 5*y**3 + 2*y - 21*y**3.
-26*y**3
Collect the terms in 55*m + 55*m + 52*m - 220*m + 59*m.
m
Collect the terms in -7*j + 3*j + 3*j.
-j
Collect the terms in -40 + 8*o + 10*o + 40 - 12*o.
6*o
Collect the terms in 6*f**3 + 444 - 444.
6*f**3
Collect the terms in -16*u**3 + 369 + 18*u**3 - 369.
2*u**3
Collect the terms in -6 - 1 + 7 + 7*u.
7*u
Collect the terms in -19*w - 9*w**3 - 9*w**3 + 20*w**3.
2*w**3 - 19*w
Collect the terms in 7850 - 7850 + 3*g.
3*g
Collect the terms in -2 + 1 - 4501992*v + 1 + 4501994*v.
2*v
Collect the terms in -5*k - 18751 + 18751.
-5*k
Collect the terms in 161*s + 2*s**2 + 0*s**2 - s**2 - 161*s.
s**2
Collect the terms in -5*t**2 - 30*t**2 + 32*t**2 + 5*t**2.
2*t**2
Collect the terms in -2800*u**2 + 2*u**3 + 2800*u**2.
2*u**3
Collect the terms in 29*m**3 - 8*m**3 + 11*m**3 - 2*m**3.
30*m**3
Collect the terms in -663*m**3 - 669*m**3 + 1337*m**3.
5*m**3
Collect the terms in 159 + d - 159.
d
Collect the terms in 59*r**2 - 107*r**2 + 47*r**2.
-r**2
Collect the terms in -f + 245*f**3 + f.
245*f**3
Collect the terms in -81 + 6*w + 81 - 2*w.
4*w
Collect the terms in 3*q - 35*q**2 + 3*q**2 - 3*q.
-32*q**2
Collect the terms in x + x + x + 3*x.
6*x
Collect the terms in -27*z**2 + 74*z**2 - 35*z**2.
12*z**2
Collect the terms in 5 - 1 - 11*p**2 - 4.
-11*p**2
Collect the terms in -118*l**2 + 226*l**2 - 109*l**2.
-l**2
Collect the terms in 2*i - i + 8*i - 15*i.
-6*i
Collect the terms in -84*h - 31*h - 18*h.
-133*h
Collect the terms in 497*r**3 - 1495*r**3 + 498*r**3 + 503*r**3.
3*r**3
Collect the terms in 23*w - 17*w - 2*w.
4*w
Collect the terms in 8*w + 46*w + 17*w.
71*w
Collect the terms in -6*m - 3*m + 5*m + 5*m - 283.
m - 283
Collect the terms in -154 + 5*m + 154 - 7*m.
-2*m
Collect the terms in 15*o**3 - 3*o**3 - 4*o**3.
8*o**3
Collect the terms in 16*y**3 - 47*y**3 + 25*y**3.
-6*y**3
Collect the terms in -6*d + 5*d + 5*d.
4*d
Collect the terms in -3*a + 8*a - 3*a.
2*a
Collect the terms in 5*h - 13 + 10 + 3.
5*h
Collect the terms in f**2 - 7*f**2 + 2*f**2.
-4*f**2
Collect the terms in -5658 + 5658 - f.
-f
Collect the terms in c + 286*c**2 + 52*c**2 - c.
338*c**2
Collect the terms in o**2 - 6*o**2 - 7*o**2 + 12*o**2 - 4*o**2.
-4*o**2
Collect the terms in -12*i**3 - 3*i**3 - 9*i**3.
-24*i**3
Collect the terms in -18*o**3 - o + 22*o**3 + o + o**2.
4*o**3 + o**2
Collect the terms in -127 + 127 + 26*w.
26*w
Collect the terms in 12 + 2*o**3 + 18*o**2 - 12 - o**3.
o**3 + 18*o**2
Collect the terms in -13*g**3 + 4*g**3 - 6*g**3.
-15*g**3
Collect the terms in -y + y + 63*y**2 - 69*y**2.
-6*y**2
Collect the terms in 5*i**2 + i**2 + 6 + 5*i**2.
11*i**2 + 6
Collect the terms in 980*y - 44*y**2 - 980*y.
-44*y**2
Collect the terms in 57*d**3 - 19*d**3 + 49*d**3.
87*d**3
Collect the terms in -19*y**2 + 57*y**2 - 18*y**2.
20*y**2
Collect the terms in 3*j + j - 15*j.
-11*j
Collect the terms in 70*i**2 + 5 + 83*i**2 - 2.
153*i**2 + 3
Collect the terms in -16*l - l + 6*l + 5*l + 7*l.
l
Collect the terms in 23*l**3 - 7*l**3 - 4 + 4.
16*l**3
Collect the terms in -8*o**2 + 8*o**2 - 224*o**3.
-224*o**3
Collect the terms in 1657*k - 558*k - 549*k - 551*k.
-k
Collect the terms in -32*y - 32*y + 88*y.
24*y
Collect the terms in 2*h**2 - 48*h + 44*h - 2*h**2 + 3*h**3.
3*h**3 - 4*h
Collect the terms in -161 + 161 - 5*h**3.
-5*h**3
Collect the terms in 7*b + 3*b - 8*b.
2*b
Collect the terms in 1036 + 4*p**2 - 347 - 345 - 344.
4*p**2
Collect the terms in -46*z + 46*z + 3*z**3 + 0*z**3.
3*z**3
Collect the terms in -206748 + 206748 - u.
-u
Collect the terms in -3 + 7 - 4 + 705*f**3.
705*f**3
Collect the terms in 11*c + 340 - 340.
11*c
Collect the terms in -6326*k**2 + 3162*k**2 - 3*k + 3165*k**2 + 3*k.
k**2
Collect the terms in 63 - 63 + 4*n**3.
4*n**3
Collect the terms in 10 - 10 + 693*v.
693*v
Collect the terms in 5*l**3 - 3*l**3 - 1588 + 1579.
2*l**3 - 9
Collect the terms in 0*i + 2*i - 17 + 3*i.
5*i - 17
Collect the terms in -3 - 1 - 7 - 34*b.
-34*b - 11
Collect the terms in 104*t**3 + 76*t**3 - 143*t**3.
37*t**3
Collect the terms in -2 + 9 - 7 + 6*d**2.
6*d**2
Collect the terms in -4*u**2 + 7*u**2 + 25*u**2.
28*u**2
Collect the terms in -6 + 11 - 5 + 10*t.
10*t
Collect the terms in -2409*u - u**2 + 2409*u + 6*u**2.
5*u**2
Collect the terms in 2 - 135*o**2 + 152*o**2 + 10 - 12.
17*o**2
Collect the terms in 4*p**3 + 3*p**3 - 20 - 9*p**3.
-2*p**3 - 20
Collect the terms in 0*l**2 + 11*l - 11*l + 57 - 3*l**2.
-3*l**2 + 57
Collect the terms in 2270*x - 2*x**3 - 2270*x.
-2*x**3
Collect the terms in 83 + 54*b + 92 - 175.
54*b
Collect the terms in -18*v - 15*v**2 + 18*v - 2.
-15*v**2 - 2
Collect the terms in -7*a**3 + 893*a - 893*a.
-7*a**3
Collect the terms in 89 + 7*g - 89.
7*g
Collect the terms in -22 + 26 + 46 - 5*f.
-5*f + 50
Collect the terms in a**3 + 10*a**3 - 8*a**3.
3*a**3
Collect the terms in 75*z**3 + 83*z**3 + 83*z**3 - 240*z**3.
z**3
Collect the terms in -2*a + 20 - 11 - 9.
-2*a
Collect the terms in 4 + 279*d**3 + 282*d**3 - 563*d**3.
-2*d**3 + 4
Collect the terms in -838 + 838 - 3*n.
-3*n
Collect the terms in -w**2 - 3*w**2 + 8*w**2.
4*w**2
Collect the terms in 4*t**2 - 3*t**2 - 15*t**2 + t**2.
-13*t**2
Collect the terms in -4022 + r + 4022.
r
Collect the terms in 1
|
{
"pile_set_name": "DM Mathematics"
}
|
be -3*(-1 - 0)*1. Suppose -3*r + 2*a = 0, -6 = -3*r + a - m. What is the derivative of 0 + 0*n**2 - n**r - 2 + 0*n**2 wrt n?
-2*n
Let w(t) be the second derivative of -17*t**6/15 - t**5/20 - 36*t**2 + 3*t + 5. What is the derivative of w(p) wrt p?
-136*p**3 - 3*p**2
Let c(u) be the first derivative of -3*u**4/4 + 10*u**3/3 - 9. Find the third derivative of c(t) wrt t.
-18
Let n(f) = f**4 - 6*f**3 + 6*f**2 + 7*f - 6. Let h(r) = -5*r**3 + 5*r**2 + 7*r - 5. Let c(k) = 6*h(k) - 5*n(k). Find the second derivative of c(u) wrt u.
-60*u**2
Suppose h - 6*h = 0. What is the derivative of h*a**4 - 1 + 3 - 2*a**4 wrt a?
-8*a**3
Let i be ((-3)/6*0)/2. Suppose 2*v = -5*l - 0*v + 15, 20 = 5*l + 3*v. Differentiate -r + l + i + 2*r wrt r.
1
Let m(j) = -j**2 - 3*j - 3. Let c(r) = 3*r**2 + 5*r + 6. Let u be -12*8/12 + 3. Let s(o) = u*m(o) - 3*c(o). Find the first derivative of s(k) wrt k.
-8*k
Let s(d) be the first derivative of -22*d**3/3 - 12*d - 6. What is the first derivative of s(i) wrt i?
-44*i
Let j(i) = i**4 - i**3 + i - 1. Let u(r) = -14*r**4 - 4*r**3 - 6*r**2 + 6*r - 7. Let l(v) = 6*j(v) - u(v). Find the third derivative of l(b) wrt b.
480*b - 12
Let c be 2/1*(2 + 0). Find the second derivative of 0*i**5 - 3*i + 5*i - c*i + 3*i**5 wrt i.
60*i**3
What is the second derivative of -20*u - 28*u**2 - 30 + 30 wrt u?
-56
Find the third derivative of i**6 - 3*i**2 - 6*i**6 - i**2 wrt i.
-600*i**3
Suppose -2*h - 6 = -14. What is the second derivative of -5*p + p**4 + p**4 - 4*p**h wrt p?
-24*p**2
Let y(p) be the third derivative of -3*p**7/70 + 4*p**5/15 - 17*p**2. Find the third derivative of y(h) wrt h.
-216*h
Let k = -2 - -5. Differentiate -4 - l**3 - 2*l**k + 2 with respect to l.
-9*l**2
Let c(h) be the second derivative of h**8/1120 + h**5/40 - h**4/3 - 2*h. Let j(u) be the third derivative of c(u). What is the first derivative of j(v) wrt v?
18*v**2
Let y be 6 + -3 + (1 - 1). Find the second derivative of -y*i + 0 + 0 + i**2 - 6*i**2 wrt i.
-10
Let f(d) be the second derivative of -3*d**4/4 - d**3/2 + 11*d. Find the second derivative of f(h) wrt h.
-18
Let r(v) be the second derivative of -1/3*v**3 + 1/2*v**2 + 2*v + 0. Differentiate r(o) wrt o.
-2
Let s(d) be the second derivative of 3*d**5/10 + 3*d**2 + 4*d. Find the first derivative of s(n) wrt n.
18*n**2
Let y(j) be the third derivative of -j**9/72 + j**5/12 - 7*j**2. What is the third derivative of y(o) wrt o?
-840*o**3
Let o(a) be the second derivative of a**5/2 - 5*a**4/6 + 28*a. Find the third derivative of o(g) wrt g.
60
Suppose -1 = 4*q - 21. Let h(j) be the second derivative of -1/3*j**3 - 1/10*j**q + 0*j**4 + 2*j + 0 + 0*j**2. Find the second derivative of h(a) wrt a.
-12*a
Suppose -3*z = 3*b, -2*z + 0*z + 35 = -5*b. Find the third derivative of -w**z + 7*w**2 - 3*w**5 - 6*w**2 wrt w.
-240*w**2
What is the second derivative of 5*g**4 - 3*g**4 - 2*g**4 - 8*g + 7*g**4 wrt g?
84*g**2
Let l(c) be the first derivative of -56*c**3/3 - 13*c**2/2 - 2*c + 3. Find the second derivative of l(u) wrt u.
-112
Let v(b) = 2*b**3 - 3*b**2 - b. Let o(g) = -2*g**3 + 5*g**3 - 8*g + 6*g - 4*g**2. Let t(u) = 3*o(u) - 4*v(u). What is the second derivative of t(p) wrt p?
6*p
Find the second derivative of -37*m - 15*m**5 + 5 + 35*m + 5 wrt m.
-300*m**3
Let f(w) = w**3 + 12*w**2 + 10*w - 8. Let i be f(-11). Find the second derivative of -q + 6*q + i*q**2 - 5*q + 2*q wrt q.
6
Let m(g) be the second derivative of -g**7/210 - g**6/90 + g**3/6 + 5*g. Let j(s) be the second derivative of m(s). What is the third derivative of j(z) wrt z?
-24
Let q(a) be the first derivative of 26*a**5/5 - 8*a**3 - 24. What is the third derivative of q(r) wrt r?
624*r
Let a = -3 + 17. What is the third derivative of -4*i**2 + 14 - a + 3*i**5 wrt i?
180*i**2
Let y(s) = s - 8. Let t be y(10). Suppose -3*d = 3*o + 1 - 4, 0 = -t*o - 2. Differentiate 3*x**2 + x**4 + 4 + x**d - 4*x**2 wrt x.
4*x**3
Let w(s) = s**2 + 2. Let o be w(-3). Let l(v) = -v + 5. Let h(d) = -6*d + 26. Let k(r) = o*l(r) - 2*h(r). What is the derivative of k(p) wrt p?
1
Let h(q) be the third derivative of q**5/15 + 5*q**4/12 + 4*q**2. What is the second derivative of h(f) wrt f?
8
Let u(y) be the first derivative of 2*y**7/7 + 2*y**6 - y**3/3 + 8*y**2 + 20. What is the third derivative of u(q) wrt q?
240*q**3 + 720*q**2
Let o(i) = -5*i**2 + 3*i. Suppose 0 = l + 3 - 5. Let q(u) = l - 3 + 1 + u**2. Let s(d) = -o(d) - q(d). Find the second derivative of s(p) wrt p.
8
Let g(x) be the first derivative of x**7/210 - x**5/60 - 2*x**2 + 2. Let h(v) be the second derivative of g(v). Find the third derivative of h(r) wrt r.
24*r
What is the first derivative of -3 - 5*c**2 + 3 - 3 + 1 wrt c?
-10*c
Let o(a) be the second derivative of 2*a + 0*a**2 + 0*a**5 + 0*a**6 + 1/14*a**7 + 0 + 0*a**4 - 1/6*a**3. What is the second derivative of o(q) wrt q?
60*q**3
Find the second derivative of 6*m - 7*m - 2*m**2 - 4*m**2 wrt m.
-12
Differentiate 2*k - 10*k**2 - 4 - 1 - 2*k wrt k.
-20*k
Let c(g) be the first derivative of g**6 + 3*g**2 - 4. Find the second derivative of c(k) wrt k.
120*k**3
Let d(h) = -14*h**3 + 3*h**2 - 5*h + 5. Let p(f) = 13*f**3 - 2*f**2 + 4*f - 4. Let m(w) = -4*d(w) - 5*p(w). What is the third derivative of m(k) wrt k?
-54
Let d = 2 + -4. Let j be (1 + 5)*(-1)/d. Find the third derivative of -2*v**2 - 2*v**4 + j*v**2 - 4*v**2 + 0*v**4 wrt v.
-48*v
What is the second derivative of -735*j**3 - 31*j - 45*j**5 + 735*j**3 wrt j?
-900*j**3
Let o(x) be the first derivative of 4*x**3 + x - 14. Find the first derivative of o(t) wrt t.
24*t
Let r(d) = 10*d**2 - 7*d + 5. Let l(c) = -5*c**2 + 4*c - 3. Let q(w) = 7*l(w) + 4*r(w). Differentiate q(v) wrt v.
10*v
Let m(s) = -s**2 + 7*s - 7. Let r be m(5). Let x be r/(-2)*16/(-12). Find the second derivative of -5 + 4*g + 5 - 4*g**x wrt g.
-8
Let b(n) be the second derivative of 13*n**3/2 - 15*n**2 - 39*n. Differentiate b(c) wrt c.
39
Let d(h) be the second derivative of 8*h**3/3 - 22*h**2 - 3*h - 1. Differentiate d(u) wrt u.
16
Let u(b) = b**3 + 4*b - 3. Let h be u(1). Let s(o) be the third derivative of 0*o + 0 + 1/24*o**4 - 2*o**h - 1/2*o**3. Differentiate s(x) wrt x.
1
What is the third derivative of 0*u**2 - 74*u**6 + 11*u**2 + 31*u**6 wrt u?
-5160*u**3
Let y(m) = 13*m**4 + 7*m. Let l(f) = -7*f**4 - 4*f. Let u(t) = -5*l(t) - 2*y(t). What is the second derivative of u(p) wrt p?
108*p**2
Let j(q) be the third derivative of -3*q**2 + 0*q**4 + 0 + 1/40*q**6 + 0*q**3 + 0*q - 1/30*q**5. Find the third derivative of j(y) wrt y.
18
Let k(c) = 39*c**3 - 15*c**2 - 26*c - 124. Let y(z) = 19*z**3 - 7*z**2 - 12*z - 62. Let m(j) = -6*k(j) + 13*y(j). What is the derivative of m(o) wrt o?
39*o**2 - 2*o
Suppose -2*j + 1 + 3 = 0. Suppose -2*w = 2*b - 4*b + 4, -2*w = -b. Find the second derivative of k - 4*k + w*k - j*k**5 wrt k.
-40*k**3
Let d(r) = r. Let o(x) = 22*x. Let i be o(1). Suppose i + 14 = -y. Let v(t) = -10*t - 1. Let k(q) = y*d(q) - 4*v(q). What is the derivative of k(j) wrt j?
4
Let l(d) be the third derivative of d**5/6 - d**3/6 - d**2. What is the derivative of l(o) wrt o?
20*o
Let u(r) = r + 6. Let s(h) = h**2 - 7*h + 1. Let t be s(6). Let m be u(t). Differentiate -2*d**4 + m + 0 + 5*d**4 wrt d.
12*d**3
Let g(f) be the first derivative of -42*f**5/5 + 31*f**2/2 + 35. What is the second derivative of g(j) wrt j?
-504*j**2
Let g(w) = -11*w**4 + 7*w**3 + 13*w**2 + 7. Let o(n) = -5*n**4 + 4*n**3 + 7*n**2 + 4. Let d(p) = -4*g(p) + 7*o(p). Find the third derivative of d(r) wrt r.
216*r
Let s(y) be the first derivative of 5*y**6/6 - 16*y**2 + 39. What is the second derivative of s(g) wrt g?
100*g**3
Let a(u) = -u**2 - 5*u. Let v be a(-5). Suppose -3*r + 4*r - 2 = v. Find the first derivative of -r*i**2 + 1 + i**2 - 3 wrt i.
-2*i
Suppose 0 = -0*m + 5*m. What is the third derivative of -4*j**2 - 2*j**6 - 5*j**6 + 0*j**2 + m*j**6 wrt j?
-840*j**3
Let q(i) be the third derivative of i**5/30 + i**4/8 - 4*i**3/3 - 4*i**2. Let p(j) be the first derivative of q(j). What is the first derivative of p(w) wrt w?
4
Let f(d) = 46*d**3 + 67*d - 7. Let z(r) = -31*r**3 - 45*r + 5. Let k(t) = 5*f(t) + 7*z(t). Find the second derivative of k(y) wrt y.
78*y
Let d(m) be the third derivative of -m**8/168 + m**5/20 - 2*m**2. Find the third derivative of d(a) wrt a.
-1
|
{
"pile_set_name": "DM Mathematics"
}
|
by 9.
4
Let d = -84 + 193. Let i = 47 - 32. Calculate the remainder when d is divided by 280/i*(2 - -1).
53
Let c(o) = 10*o**2 + 1. Let m be c(-1). Suppose -d + 81 = 2*a, 0 = -a - 3*d + 27 + m. Calculate the remainder when 161 is divided by a.
38
Suppose 15*n = -16*n - 93. Calculate the remainder when ((-42)/5)/(n*10/375) is divided by 59.
46
Let d(n) = -n**2 + 83*n - 1695. Calculate the remainder when 40 is divided by d(44).
19
Suppose -60*h + 1951446 = 72*h - 35*h. Calculate the remainder when h is divided by 11.
10
Let i(y) = 17*y + 226. Let p be i(-13). Suppose -5*w - p*z + 365 = -z, -2*w + 143 = z. What is the remainder when w is divided by 29?
11
Let m(v) = -2*v**2 + 4*v - 3. Let p be m(2). What is the remainder when (p/(-4))/1*(1 + 35) is divided by 2 + 3 - 6/8*-4?
3
What is the remainder when 2019/1346*12848/6 is divided by 1061?
29
Suppose -n = 4*m - 39, 4*n = -4*m + 3*m - 9. Suppose 86 = m*k + 31. Calculate the remainder when 51 is divided by k.
1
Let k = 131 + -128. Suppose k*d - 223 = v + v, 5*v = -25. Let j = -9 - -21. What is the remainder when d is divided by j?
11
Let p(q) = -q**3 + 13*q**2 + 11*q - 7. Let c be p(14). Let t = c + 62. Calculate the remainder when (1 + 28)/(1/4) is divided by t.
12
Let l = -1037 - -1128. Calculate the remainder when l is divided by 9.
1
Let k = -134 - -37. Let b = -81 - k. What is the remainder when 239 is divided by b?
15
Let k(t) = -t**3 - 8*t**2 - 7*t + 10. Suppose f + 34 - 38 = 0. Suppose -q = -4*p + 11, 4*q = -0*p - f*p - 24. What is the remainder when k(q) is divided by 3?
1
Let w = 824 + -711. Let h be (30/(-9) + 3)*141. Let u = -28 - h. What is the remainder when w is divided by u?
18
Let z(r) = 18*r**2 + 3*r + 3. Let a(s) = -s**2 - s - 1. Let b(j) = 4*a(j) + z(j). Calculate the remainder when (-205)/(-3) - (-28)/42 is divided by b(-1).
13
Suppose 2*d + 140 + 52 = -m, 4*d + 382 = -m. Let t = d + 100. What is the remainder when t is divided by 2?
1
Suppose 3*k = 2*l + 161 - 80, -81 = -3*k + 4*l. Calculate the remainder when 307 is divided by k.
10
Suppose -74*i + 72*i = -76. Let b = -901 + 927. Calculate the remainder when i is divided by b.
12
Calculate the remainder when 627 is divided by ((-630)/(-5))/9 + -5 + 140.
31
Let k(n) = -n**2 + 64*n + 3669. What is the remainder when 18359 is divided by k(-35)?
203
Suppose 4*t + 5*d + 150 = 5*t, 2*t + 2*d = 324. Calculate the remainder when 296 is divided by t.
136
Let o = -56 - -73. Suppose 6*k - o*k = -209. Calculate the remainder when k is divided by 12.
7
Let j = -19 + -3. Let y = -16 - j. Calculate the remainder when 10 is divided by y - (6/3 - 2).
4
Let x = -11749 - -11756. Calculate the remainder when 1268 is divided by x.
1
Suppose -f + 33 = -3*z, 3*z = -5*f + 4*z + 109. Let s be 15/(-10)*176/24. What is the remainder when -94*6/(-4) + (-44)/s is divided by f?
19
Suppose -10*d - 5*o + 61 + 1529 = 0, -800 = -5*d - 5*o. What is the remainder when 307 is divided by d?
149
Suppose 2*m + 27 = 109. Suppose 3*q - 104 = -23*q. Suppose -27*p + q = -28*p - 3*h, 5*p = 5*h + 80. Calculate the remainder when m is divided by p.
8
Let m(l) = l**3 - 2*l + 2. Let z(v) be the first derivative of -v**3/3 + 5*v**2 + 11*v + 25. Calculate the remainder when z(8) is divided by m(2).
3
Suppose 4*l - 35*w - 6487 = -38*w, -l + 4*w + 1655 = 0. What is the remainder when l is divided by 74?
73
Let m = 1785 - 1041. Let v be (-5)/(45/(-66)) - 4/12. Suppose v*x - x = m. What is the remainder when x is divided by 18?
16
Let o = 716 - 251. Let t = o + -442. Calculate the remainder when 31 is divided by t.
8
Let w(c) = -c**3 - 2*c - 1. Suppose -3*t - 2*a + 448 = 3*a, 0 = -5*t + 4*a + 796. Let v = t + -151. What is the remainder when w(-2) is divided by v?
1
Suppose -5*f + 8*f - 120 = 0. Let t = 4 - f. What is the remainder when 79 is divided by 7*(t/(-7) - 2) - 2?
19
Let x = -16081 - -16809. What is the remainder when x is divided by 241?
5
Suppose -145 = -4*a - 372 + 503. Calculate the remainder when 836 is divided by a.
8
Let i be 5 - (7 + -4 + -6). Let p = -84 - -122. Calculate the remainder when ((-8547)/154)/((-3)/i) is divided by p.
34
Suppose -366 + 14 = -16*t. Suppose -3*p - t = -r, 2*p + 3*p = -15. What is the remainder when ((-6)/(-2))/3 - -100 is divided by r?
10
Let a(l) = 2*l**2 + 23*l + 99. Suppose -6*g + 2885 - 2195 = 0. What is the remainder when g is divided by a(-7)?
7
Suppose 0 = -31*r + 23328 - 6743. Calculate the remainder when r is divided by 79.
61
Let k = 142 + -304. Let z = k - -177. Calculate the remainder when 59*3/(2 + 1) is divided by z.
14
Let g(b) = -2*b**2 + 215*b - 100. What is the remainder when 2644 is divided by g(107)?
5
Suppose -o - 6 = -n - 187, 0 = n + 7. What is the remainder when 2060 is divided by o?
146
Suppose 62 - 137 = -3*g. Let t = -253 + 256. What is the remainder when g is divided by t?
1
Suppose 428*t - 51915 - 17849 = 0. What is the remainder when t is divided by 62?
39
Let l = -76 + 139. Let s be (14/l)/(3/27). Suppose s*w - 4*d = 46, -2*w + 6*w + d - 128 = 0. What is the remainder when 122 is divided by w?
29
Let h be (-20)/((-35)/7)*-1. Suppose 3*m - 146 = 7. What is the remainder when m is divided by 6/h - 15/(420/(-574))?
13
Let d = 2375 - 1993. What is the remainder when 825 is divided by d?
61
Let r = 2251 - 1931. Calculate the remainder when r is divided by 60.
20
Let w be 4 + (-4389)/22 + (-1)/2. Let v = w - -220. What is the remainder when 45 is divided by v?
21
Let f(o) = -o**2 + 16*o - 58. Let c be f(6). Suppose 2*w + 2 - 8 = -4*j, -24 = -4*w - c*j. What is the remainder when 167 is divided by w?
6
Let m be (4 + -4)*(-3)/(-6) - -128. Let g = -122 + m. What is the remainder when 18 is divided by g?
0
Let t be (0 + 0)/(-7 - -8) + 3. Suppose 0 = t*b - 3*j - 615, b + 4*j - 220 = -0*b. What is the remainder when b is divided by 53?
49
Let c(o) = -o**3 - 5*o**2 + 37*o + 13. Let g be c(-9). Suppose 3*i - 25 = g*b, -i - 4*b - b = -21. Calculate the remainder when 97 is divided by i.
9
Calculate the remainder when 3629 is divided by 1 + (18/(-8))/((-201)/268).
1
Let p(o) = -4*o + 66. Let u be p(9). Suppose -15*q = -17*q + u. Calculate the remainder when 67 is divided by ((-4)/(-12))/(1/q).
2
Suppose -v + 14*v + 29*v - 1386 = 0. What is the remainder when 856 is divided by v?
31
Suppose -588*n - 203 + 526 = -569*n. Calculate the remainder when 3093 is divided by n.
16
Suppose 4 = l, 3*n + l + 578 - 657 = 0. What is the remainder when 3091 is divided by n?
16
Let v(z) = -4*z**3 + 55*z**2 + 16*z + 13. What is the remainder when 48 is divided by v(14)?
7
Suppose -3*v - 5*j - 140 = 0, 6*v + 216 = v - 4*j. Let n = v - -46. Suppose 12 = 3*c, 0 = 4*a + 2*c - n*c - 24. What is the remainder when a is divided by 6?
4
Let m(v) = -2*v**3 + 69*v**2 - 122*v - 163. What is the remainder when m(29) is divided by 3?
0
Let m(h) = 3*h**2 + 19*h - 380. Let v(b) = -b + 9. Let n be 10/(-25) - 37/(-5). What is the remainder when m(-15) is divided by v(n)?
0
Suppose -y + 136 = 3*b, -4*b + 4*y = -65 - 111. Calculate the remainder when 9 + (81 - 1) - (2 - -3) is divided by b.
39
Let m(h) be the second derivative of 5*h**3/6 + 3*h**2/2 - 61*h. Calculate the remainder when m(7) is divided by 6.
2
Let g be 2*(-2 + 12/3). Suppose -t - 4*b + 431 = 0, t + 5*b = -g*t + 2095. Calculate the remainder when t is divided by 32.
31
Suppose -55 = -7*i + 2*i. Let r = 1003 + -1413. Calculate the remainder when (-2)/(-4) - r/20 is divided by i.
10
Let x(h) = h**3 + 14*h**2 + 5*h - 3. Let z be x(-14). Let q = -34 - z. Let w = q + -38. Calculate the remainder when w is divided by 1.
0
Let b be (-36)/(-270) - 1757/15. Let s = 162 + b. What is the remainder when s is divided by 16?
13
Suppose -8 = 9*j - 5*j, 0 = -2*z + 5*j + 10. Suppose 2*a - 3*a + 147 = z. Calculate the remainder when a is divided by 20.
7
Let u = 5962 - 5932. Let g = 127 - 38. What is the remainder when g is divided by u?
29
Suppose 0 = 239*v - 210*v - 6119. What is the remainder when v is divided by 27?
22
Suppose -44*p = -4*u - 45*p + 69, -12*p = -u + 103. What is the remainder when 6530 is divided by u?
13
Suppose 0 = 3*u - y + 1130, 0 = -u - y - 97 - 281. Let d = -246 - u. What is the remainder when d is divided by 70?
61
Let i = -1478 + 2191. Calculate the remainder when i is divide
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{
"pile_set_name": "DM Mathematics"
}
|
8 + 5*h + 31 - 7*h**2. Let r(z) = 4*d(z) + 5*s(z). Differentiate r(o) wrt o.
-14*o + 9
Let t = 480 - 478. What is the third derivative of -573*n**t + 749*n**2 + 2*n**4 - 114*n**5 - 2*n**4 wrt n?
-6840*n**2
Let a(u) be the third derivative of 146*u**2 - 47/24*u**4 + 0*u - 20*u**3 - 1/30*u**5 + 0. What is the first derivative of a(x) wrt x?
-4*x - 47
Let t(a) be the second derivative of -25*a**7/14 + 17*a**6/30 + 3*a**4/4 + 81*a**2/2 + 51*a + 14. Find the third derivative of t(k) wrt k.
-4500*k**2 + 408*k
Suppose -2*p + 6 = -4*q, -7 = -4*q - 2*p + 7. What is the second derivative of 9*u**2 + 8 + q - 7*u - 2*u + 4*u wrt u?
18
Let s(t) be the second derivative of -281*t**6/30 - 296*t**3/3 - t - 112. Find the second derivative of s(b) wrt b.
-3372*b**2
Let b = -293 - -298. What is the third derivative of -20 - 3*d**6 - 75*d**5 - 19 + 25*d**b + 53 - 8 + 14*d**2 wrt d?
-360*d**3 - 3000*d**2
Let r(v) be the second derivative of 11*v**7/42 + 7*v**5/10 - v**4/3 - 16*v**3/3 - 20*v - 156. Find the third derivative of r(j) wrt j.
660*j**2 + 84
Let f(i) be the first derivative of -741*i**4 - 3254*i**3/3 + 5918. What is the third derivative of f(g) wrt g?
-17784
Suppose -9 = -5*v - o, -v + 2*v - 5 = 3*o. Let q be v/4 + 3/2 + 0. What is the third derivative of 2113 + 12*c**q - 18*c**4 - 2113 wrt c?
-432*c
Let b(u) be the third derivative of -u**6/12 - 29*u**5/60 - 2237*u**4/24 - u**2 - 729*u. Find the second derivative of b(h) wrt h.
-60*h - 58
Let q(b) = -885*b + 1491. Let o(h) = -883*h + 1484. Let p(u) = -4*o(u) + 3*q(u). Differentiate p(v) wrt v.
877
Let l(x) = 0 + 20 + 2*x + 21. Let u be l(-18). Find the second derivative of 24*m + 19*m**3 - 22*m**3 - u*m**3 wrt m.
-48*m
Suppose -16*h = -25*h + 171. Suppose 4*f - 13 + 5 = 0. Differentiate 11*j**2 + 8*j**2 + 0*j**f + h + 18 with respect to j.
38*j
What is the third derivative of 14560*q**2 - 5669*q**2 - 189*q**3 - 5406*q**2 - 6003*q**2 wrt q?
-1134
Let w(n) = -3149*n - 760. Let x(c) = -3155*c - 763. Let j(i) = -4*w(i) + 3*x(i). Find the first derivative of j(u) wrt u.
3131
Let r(j) be the third derivative of 5/3*j**3 + 0*j**6 + 0*j**4 + 5*j + 0*j**5 + 1/5*j**7 + 0 + 2*j**2. What is the first derivative of r(c) wrt c?
168*c**3
Find the second derivative of -13128*l**2 - 1130 - l + 1792 + 14412*l**2 wrt l.
2568
Let v be 2/(-1*(2 - 3)). What is the third derivative of 20*g**6 - 30*g**6 + 49*g - 32*g**6 - 51*g - 20*g**v wrt g?
-5040*g**3
What is the third derivative of 17*a**4 - 9*a**4 - 1569*a**2 + 1767*a**6 + 2156*a**6 - 8*a**4 wrt a?
470760*a**3
Let f(q) = 5*q**2 + 29*q + 4. Let o be f(-6). Let r(w) be the first derivative of -2/5*w**5 + o - 16*w + 0*w**4 + 0*w**3 + 0*w**2. Differentiate r(m) wrt m.
-8*m**3
Differentiate -1045*s**3 + 28*s - 28*s - 4359 + 858*s**3 - s**2 - 1661*s**3 wrt s.
-5544*s**2 - 2*s
Let o(a) = -a + 9 + 5*a + 5*a + 3*a + a**2. Let w be o(-12). Differentiate -w*g + 6*g - 13*g - 1 wrt g.
-16
What is the second derivative of 34*s**2 + 70*s + 10*s**2 + 9*s - s**4 + 0*s + 36*s wrt s?
-12*s**2 + 88
Let t(z) be the second derivative of -z**5/10 + 65*z**4/2 + 682*z**3/3 + 1295*z + 2. Find the second derivative of t(y) wrt y.
-12*y + 780
Let z(o) = 28*o**3 - o**2 - 40*o + 13362. Let w(f) = -f**3 - 15*f - 2. Let n(k) = 3*w(k) - z(k). What is the first derivative of n(q) wrt q?
-93*q**2 + 2*q - 5
Let b(j) = 166*j**3 - 70*j**2 - 12*j + 12237. Let a(o) = 66*o**3 - 28*o**2 - 5*o + 4895. Let l(q) = 12*a(q) - 5*b(q). Differentiate l(g) with respect to g.
-114*g**2 + 28*g
Let x(q) = -6 + 18 - 2*q - 4 + 12. Let y be x(7). What is the second derivative of 23*n**5 - 16*n**2 - 5*n + y*n**2 + 10*n**2 wrt n?
460*n**3
Let b(h) = 7*h - 3*h + 2*h - 7*h. Let z(w) = 13*w**3 + 7*w**2 + 4*w. Let a = -94 - -95. Let d(o) = a*z(o) + 4*b(o). What is the third derivative of d(f) wrt f?
78
Let y(g) be the third derivative of -3*g**8/2 + 709*g**5/60 - 56*g**2 - 2*g. Find the third derivative of y(z) wrt z.
-30240*z**2
Let u(i) be the third derivative of 0*i - 72*i**2 + 0 - 71/60*i**5 + 13/24*i**4 - 1/6*i**3. Find the second derivative of u(b) wrt b.
-142
Let g(o) = -o**2 - 2*o + 3. Let j be g(0). Let f be ((-8)/(-10))/((-2)/(-5)). Find the third derivative of 11*b**2 + 11*b**f - 14*b**2 - 32*b**j wrt b.
-192
Let h(z) = 24*z**3 - 3*z**2 - 16*z - 2382. Let g(f) = -25*f**3 - f**2 + 12*f + 2383. Let l(x) = 4*g(x) + 3*h(x). Differentiate l(d) wrt d.
-84*d**2 - 26*d
Let g(a) be the second derivative of 1309*a**6/30 - 454*a**3/3 + 3*a**2/2 - 725*a. Find the second derivative of g(n) wrt n.
15708*n**2
Let b = -550 - -555. What is the third derivative of -4*h**2 - 29 + 2487*h - 2487*h - 172*h**b wrt h?
-10320*h**2
Let h(o) = o**2 + 6*o - 58. Let s be h(6). Find the first derivative of 201 - 7*p**2 - 81 - s + p wrt p.
-14*p + 1
Let l(z) = -z + 8. Suppose -m = 2*m - 2*j + 29, m = -5*j - 4. Let p be l(m). What is the third derivative of p*f**2 + 12*f**6 + 1686*f**5 - 1686*f**5 wrt f?
1440*f**3
Let u(j) = -j**2 + 8*j - 9. Suppose 7*x + a = 2*x + 27, 2*x = -2*a + 14. Let h be u(x). What is the first derivative of h - 15 + 18*z + 34 - 44*z wrt z?
-26
Let o = -347 + 348. Let r(d) = -64*d**2 + 20*d - 52. Let b(a) = -a**2 + 4*a. Let c(x) = o*r(x) - 5*b(x). Find the first derivative of c(j) wrt j.
-118*j
Find the second derivative of 32704*s**2 - 32425*s**2 - 3*s**3 - 4*s**3 - 10566*s wrt s.
-42*s + 558
What is the derivative of 949*p - 399 - 7*p**2 - 8*p**2 + p**2 + 16*p**2 + 147 wrt p?
4*p + 949
Suppose -87 + 23 = -16*y. Let q(g) = -49*g + 254. Let p(m) = -49*m + 255. Let v(f) = y*p(f) - 3*q(f). Find the first derivative of v(h) wrt h.
-49
Let w = -17 + 19. Let a = -126 + 128. What is the third derivative of -w*l**4 - 14*l**2 - 6*l**2 + a - 2 wrt l?
-48*l
Suppose -q + 3*f = -106 + 118, 0 = -q - f + 4. Let u(h) be the first derivative of q*h**2 + 0*h**3 - 15*h + 29/4*h**4 + 3. Differentiate u(d) wrt d.
87*d**2
Let k = -43 + 96. Let t = k + -48. What is the second derivative of 2*n**5 - 51*n**4 + 51*n**4 - 14*n - 5*n**t wrt n?
-60*n**3
Let b(v) = 2*v - 22. Let h(p) = p**3 + 12*p**2 + 13*p + 34. Let w be h(-11). Let n be b(w). What is the first derivative of 12 - n*c + 2*c - 25 + 2*c wrt c?
2
What is the second derivative of 11*r**3 + 8*r**2 + 1563*r + 142*r**5 - 11*r**3 + 133*r**5 - 274*r**5 + 2*r**4 wrt r?
20*r**3 + 24*r**2 + 16
Suppose 279 = 17*t - 8*t. Find the third derivative of -36*j**2 - t*j**2 + 9*j**3 + 23*j**2 wrt j.
54
Let d(b) be the third derivative of 0*b - 1/24*b**4 - 18*b**3 + 2*b**2 + 49. Find the first derivative of d(p) wrt p.
-1
Let a(v) be the third derivative of -823*v**5/10 + 5*v**3/2 + 86*v**2 + 3*v + 4. Find the first derivative of a(w) wrt w.
-9876*w
Find the third derivative of -2*d**6 - 1131830 - 248*d**3 + 1131830 - 491*d**2 wrt d.
-240*d**3 - 1488
Let b(h) = -3*h - 22. Let s be b(-8). Suppose 5*q = s*t + 17, 0*q - 4*t - 16 = -4*q. What is the second derivative of -q*v**4 - 2*v - 3*v**4 - 6*v**4 + v wrt v?
-144*v**2
Suppose -9 - 15 = -5*m - 4*z, -7 = -3*m + 5*z. What is the second derivative of -3*j**m - 3*j**5 - 8*j - 2*j**4 + 36*j + 28*j - 1 + 2*j**5 wrt j?
-20*j**3 - 60*j**2
What is the derivative of -2013 + 162*k**2 - k + 3563 + 5160 - 3*k - 14073*k**3 + 14070*k**3 wrt k?
-9*k**2 + 324*k - 4
Let k(t) be the second derivative of 1001*t**4/6 - 1651*t**2/2 - 126*t. Differentiate k(p) wrt p.
4004*p
Find the second derivative of 413*b**5 - 96*b**5 - 91*b**5 - 1476*b - 88*b**5 - b**2 - 94*b**5 wrt b.
880*b**3 - 2
Let h(s) be the third derivative of 139*s**5/5 + s**4/24 - 1775*s**3/6 + 3*s**2 + 1368. Find the second derivative of h(i) wrt i.
3336
Suppose 0*q + 4*t = 2*q - 16, q - 4 = 4*t. Suppose -10*l + q = -6*l. Find the third derivative of w**2 + 3*w**3 - 2*w**l + w**3 + 3*w**3 wrt w.
30
Let u(p) = -p**2 - 9*p - 12. Let c be u(-2). Find the second derivative of 35*g - 2 + 1 - 24*g + c*g**4 - 4*g**3 + 38*g wrt g.
24*g**2 - 24*g
Let d(v) = 24*v**4 + 11*v**3 + 3*v + 1343. Let w(j) = 24*j**4 + 12*j**3 + 4*j + 1341. Let n(l) = -4*d(l) + 3*w(l). Find the first derivative of n(s) wrt s.
-96*s**3 - 24*s**2
Let c(f) = 8348*f**4 - 12*f**2 - 8535. Let k(u) = 66783*u**4 - 94*u**2 - 68279. Let a(l) = 47*c(l) - 6*k(l). What is the derivative of a(t) wrt t?
-33368*t**3
Find the third derivative of 380*a**2 - 459*a**6 + 21
|
{
"pile_set_name": "DM Mathematics"
}
|
3*q + 8*f**2*l**3 + 117839*f**2*l - 7*f*l**3*q + 272*f*q + 4*f - l**3 + 2*l**2*q wrt f?
2*l**3*q + 16*l**3 + 235678*l
What is the first derivative of -3*a**2 + 9309998*a*u**3 - 1171371742*u**3 wrt a?
-6*a + 9309998*u**3
What is the second derivative of 2136*n**3*z**2 + 22*n**3*z - 11*n**3 + 43*n**2*z**2 - 14*n**2*z + 2*n*z**2 + 133*n*z + n + 2*z**2 + 2*z wrt z?
4272*n**3 + 86*n**2 + 4*n + 4
What is the third derivative of -89*d**4 + 27456*d**3 - 773734*d**2 - 6 wrt d?
-2136*d + 164736
What is the second derivative of 8130727*h**4 - 2*h**3 + h**2 - h + 354711789 wrt h?
97568724*h**2 - 12*h + 2
What is the third derivative of -578*s**4 - 17025*s**3 + 17808954*s**2 - s wrt s?
-13872*s - 102150
What is the second derivative of 9254613*u**2 - 20725695*u?
18509226
Find the second derivative of -636291991*s**3 - 1082524116*s.
-3817751946*s
Differentiate -158079*g**3*q**2 - 19*g*q**2 + 3*q**2 - 257097 with respect to g.
-474237*g**2*q**2 - 19*q**2
What is the third derivative of -280101300*d**3*q**2 - 3*d**2*q**2 + 5*d**2 - 29*d*q**2 - 2*d + 12*q**2 + 5 wrt d?
-1680607800*q**2
Find the second derivative of 157*v**4 + v**3 - 25167*v**2 + 93289202*v.
1884*v**2 + 6*v - 50334
Differentiate -13*m**3 + 3*m**2 - 62081*m + 3221924 wrt m.
-39*m**2 + 6*m - 62081
Differentiate -8*z**4 - 28*z**3 - 244*z**2 - 10702740 with respect to z.
-32*z**3 - 84*z**2 - 488*z
Find the first derivative of 22185129*q**2 - 8896362 wrt q.
44370258*q
What is the first derivative of 55*h**3 - 12*h**2 + 6516*h - 8352129 wrt h?
165*h**2 - 24*h + 6516
Find the third derivative of 174577447*y**3 - 10*y**2 - 136*y + 5340.
1047464682
What is the second derivative of 18*g**4 - 2*g**3 - 52423*g**2 - 50310*g - 326 wrt g?
216*g**2 - 12*g - 104846
What is the second derivative of 78303294*v**5 - 143*v - 33600?
1566065880*v**3
Find the third derivative of 27716306*o**4 + 111119607*o**2 wrt o.
665191344*o
What is the third derivative of 12179801*j**3 + 793*j**2 - 2*j + 1816 wrt j?
73078806
Find the third derivative of 8286478*z**4 + 2564*z**2 - 6*z - 20.
198875472*z
What is the third derivative of -5674*c**5 + 3*c**4 - 104*c**3 - 52776858*c**2?
-340440*c**2 + 72*c - 624
What is the derivative of 25780291*z - 4744649?
25780291
Differentiate 70*o*q*x - 6*o*q + 477*o*x - 398*o - 50937*q*x - 3*q - 29*x - 19 with respect to o.
70*q*x - 6*q + 477*x - 398
Find the first derivative of -929127*t**2 - 3092084 wrt t.
-1858254*t
Find the third derivative of h**6 + 925599*h**3*o**2 + 43*h**2*o - 27422*h*o**2 wrt h.
120*h**3 + 5553594*o**2
What is the third derivative of -3592168*l**4 + 4*l**3 - 253981859*l**2 wrt l?
-86212032*l + 24
What is the second derivative of 76981213*z**2 + 144849165*z wrt z?
153962426
Find the second derivative of -7707879*c*j**3*z**2 + 53*c*j**2 + 45*c*j*z**2 + 20*j**3*z + 125076*j**3 wrt z.
-15415758*c*j**3 + 90*c*j
What is the third derivative of 4*o*v**4 - 39*o*v**3 + 30*o*v**2 + 3*o - 38*v**4 + 12*v**3 + 143*v**2 - 3*v - 3 wrt v?
96*o*v - 234*o - 912*v + 72
Find the second derivative of 140*m**2*p**2 - 7558*m**2*p - 35350*m + 100*p**2 wrt m.
280*p**2 - 15116*p
What is the third derivative of 781173*d**5 + 5*d**3*u**2 + 28*d**2*u**2 - d**2*u - 4*d**2 + 25*d*u**2 + d - 2 wrt d?
46870380*d**2 + 30*u**2
What is the second derivative of h**3 + 4387075*h**2 + 24692145*h - 1?
6*h + 8774150
Find the first derivative of 81*j**3 - 10*j**2 + 997*j + 9344381 wrt j.
243*j**2 - 20*j + 997
What is the derivative of -756*g**3*k*z + 84313*g**3 + 4*g**2*z + g**2 + 967*k*z wrt k?
-756*g**3*z + 967*z
Differentiate 42*b*c + 2271*b + 35310*c + 132342 wrt c.
42*b + 35310
What is the first derivative of 866126066*n*u - 793795895*u wrt n?
866126066*u
Find the third derivative of -d**4*t + 97*d**4 - 89730*d**3*t - 33899445*d**2*t wrt d.
-24*d*t + 2328*d - 538380*t
What is the third derivative of -2*y**4 + 122441176*y**3 - 671*y**2 - 6*y - 2244 wrt y?
-48*y + 734647056
Find the second derivative of -99905292*p**2 - 79*p - 407205.
-199810584
What is the second derivative of -2806190*o**2 - 2*o + 352067?
-5612380
Find the second derivative of -9*s**4 + 1036866*s**2 + 169795196*s wrt s.
-108*s**2 + 2073732
Differentiate -5*c**3 - 113*c**2 + 13395*c + 9758198 wrt c.
-15*c**2 - 226*c + 13395
Find the second derivative of 12540164*z**3 + 2794755*z wrt z.
75240984*z
Find the second derivative of -4*t*x**3 + 36*t*x**2 + 18*t*x - 122*t + 86*x**3 + x - 10 wrt x.
-24*t*x + 72*t + 516*x
What is the third derivative of 826*r**5 + 16913*r**3 + 7314*r**2 - 289*r + 3 wrt r?
49560*r**2 + 101478
Differentiate -55787*b*t**2*u**2 - 18809*b*t + b - 20*t**2*u**2 + 34*t**2 wrt u.
-111574*b*t**2*u - 40*t**2*u
What is the third derivative of -2*n**3*w**4 - 3677*n**3*w**3 + 444*n**3*w**2 + 10*n**3*w - 41*n*w**2 + 21*w**3 wrt w?
-48*n**3*w - 22062*n**3 + 126
Differentiate 1486*d**3*r**2 - 7353*d**3 + 4733*d**2*r**4 + 1264*d - 2 with respect to r.
2972*d**3*r + 18932*d**2*r**3
Find the second derivative of 41743137*o**3*p**2 - 26314920*o**3*p + o**2*p**2 - o*p wrt p.
83486274*o**3 + 2*o**2
What is the derivative of 1503592095*i**2 + 474899661?
3007184190*i
Find the second derivative of n*p - 564315*n*q**3 + 136*n*q - p*q**3 - 2*p*q + 60*p - 3*q**3 wrt q.
-3385890*n*q - 6*p*q - 18*q
What is the first derivative of 9669348*j + 10525588 wrt j?
9669348
What is the second derivative of -4*f**2*g**2 + f**2*g*k + 957617*f**2*k - f*g**2 - 161*f + g**2*k - 499*g**2 wrt f?
-8*g**2 + 2*g*k + 1915234*k
What is the third derivative of -18*r**5 + 1874*r**4 - 31*r**3 + r**2 - 5*r + 371265?
-1080*r**2 + 44976*r - 186
What is the third derivative of -203*a**3*g**3 - 173311*a**3 + 74513*a*g**3 + 5*g**2 wrt g?
-1218*a**3 + 447078*a
Differentiate 4629516*c**3*p**2 + 183*c**3 - 3206*c**2 + 19*c*p**4 - 3*c with respect to p.
9259032*c**3*p + 76*c*p**3
What is the second derivative of -815121*f**4 + 7383589*f?
-9781452*f**2
Differentiate -297851*g**3*y - 276215*g**3 - 3*g**2*y + 10*g**2 with respect to y.
-297851*g**3 - 3*g**2
Find the second derivative of 1513*r**3*x**2 - 6325*r**3*x - 71*r**3 - r**2*x + 3*r*x - 2930*x**2 wrt x.
3026*r**3 - 5860
Find the third derivative of 107252366*l**6 + 3*l**2 + 7*l + 5331262 wrt l.
12870283920*l**3
Find the first derivative of 102583392*o**2 - 5920065.
205166784*o
What is the third derivative of -386203970*o**5 + 144542799*o**2?
-23172238200*o**2
What is the second derivative of 120592517*d**2 - 22642666*d + 2?
241185034
What is the second derivative of 127738248*d**2 - 198389185*d?
255476496
Find the first derivative of -10*p**4 + 2642819*p - 255348140.
-40*p**3 + 2642819
What is the first derivative of -8788337*w**3 - 8035459 wrt w?
-26365011*w**2
Find the third derivative of -g**5 + 982*g**4 + 24920*g**3 - 156178*g**2 - 19*g + 3.
-60*g**2 + 23568*g + 149520
Find the second derivative of 2*i*m*x*y + i*m*x - 226*i*x*y**2 + i*x*y + 65944*m*x*y**2 + 119*m*x - 2*x*y + 5*y + 502 wrt y.
-452*i*x + 131888*m*x
Find the third derivative of -j**3*k*q**3*v + j**3*k - 2*j**2*k*q**2*v + 29*j**2*q**2*v + 2*j*k*q**2 - 2*j + 145407464*k*q**3 + 5*k*q**2*v + q**2 - 928 wrt q.
-6*j**3*k*v + 872444784*k
What is the third derivative of -1096751526*o**3 - 575160586*o**2?
-6580509156
Find the third derivative of -178475086*f**3 + 392717067*f**2 wrt f.
-1070850516
What is the derivative of 5*d**3*l + 142*d**3 + d**2*l - 19453*d**2 - 258*d*l - d - 326*l - 2 wrt l?
5*d**3 + d**2 - 258*d - 326
Find the second derivative of 6079*l**4 - 22*l**3 + 1053*l - 1825.
72948*l**2 - 132*l
Find the second derivative of -57183680*h**2 + 50*h + 46759 wrt h.
-114367360
Differentiate -199248429*q**4 + 16200321.
-796993716*q**3
What is the derivative of -2*y**2 - 3995738*y - 241685666 wrt y?
-4*y - 3995738
Find the second derivative of -4*d**5 + 6934133*d**2 - 58077924*d.
-80*d**3 + 13868266
What is the second derivative of 369667756*p**2 - 120009936*p?
739335512
Find the second derivative of -17199*g**3 - 699*g**2 - 38953562*g wrt g.
-103194*g - 1398
Find the third derivative of -19720*c*z**3 + 272*c*z**2 - c + 4*z**3 + 15388*z**2 wrt z.
-118320*c + 24
What is the first derivative of 8484397*d*g - 25304272*d wrt g?
8484397*d
What is the derivative of 1458041*g**2*v + 2064*g**2 + 10*g*v - g + 80 wrt v?
1458041*g**2 + 10*g
Differentiate 494*a*j - 2*a -
|
{
"pile_set_name": "DM Mathematics"
}
|
*t
What is the third derivative of -684280*f**4 + f**2 + 1836140*f?
-16422720*f
Find the third derivative of -158*n*w**4 + 10*n*w**3 + 168*n*w**2 + n*w - 433*n + 154*w**3 - w**2 wrt w.
-3792*n*w + 60*n + 924
What is the third derivative of -281*o**4 + 200*o**3 - 16*o**2 + 7*o - 49 wrt o?
-6744*o + 1200
Find the first derivative of 201006*l**2 - 288545.
402012*l
What is the first derivative of 1124834*v**2 - 49683?
2249668*v
What is the first derivative of -25751*v - 49551 wrt v?
-25751
What is the third derivative of 749639*m**6*n + m**3*n - 13*m**2*n + 11*m**2 + 1135*m + 1 wrt m?
89956680*m**3*n + 6*n
Find the third derivative of -302174*n**5 - 418616*n**2 wrt n.
-18130440*n**2
Find the second derivative of 2*p**5 + 4292*p**2 - 27*p - 250 wrt p.
40*p**3 + 8584
What is the third derivative of 20*o**3*v**6 + 928*o**3*v**3 + 4*o**3*v - o**3 + 2*o*v**2 + 3278*o*v wrt v?
2400*o**3*v**3 + 5568*o**3
Find the second derivative of 99785*c**4 - 57930*c wrt c.
1197420*c**2
Find the third derivative of 1415994*o**3*r**2*s**3 - 2*o**2*r**2*s**3 - 17160*o*r**2*s + o + r**2*s**2 - 2*r*s**3 wrt o.
8495964*r**2*s**3
Find the third derivative of -15*w**2*z**3 + w**2*z**2 - w**2 + 1235*w*z**3 - 16*w - 29*z**2 wrt z.
-90*w**2 + 7410*w
Find the second derivative of 912571*s**3 + 523490*s.
5475426*s
What is the third derivative of 297758*o*s**3 - 51159*o - 2*s**2 + 4*s wrt s?
1786548*o
Find the second derivative of -19597*d**2*q**2 - 2*d**2*q + 2*d*q**2 - 13628*d*q + 2 wrt q.
-39194*d**2 + 4*d
What is the third derivative of 3*i**2*t**3*v**2 - 8*i**2*v**3 + 7*i**2*v - 251*i*t*v**3 - 79098*t**3*v**3 - t**2*v wrt t?
18*i**2*v**2 - 474588*v**3
What is the second derivative of 103854*d**5 - d - 20984 wrt d?
2077080*d**3
Find the second derivative of 171660*m**3*o**2 - 11*m**3 - 3*m**2*o**2 + m**2 - 2*m*o + 4698*m - 2 wrt o.
343320*m**3 - 6*m**2
What is the second derivative of 11*q*v**2*z**4 - 52009*q*v*z**2 + q*v - 9614*q*z + 27*v**2 wrt z?
132*q*v**2*z**2 - 104018*q*v
Find the third derivative of -143765*l**3 - 11*l**2 + 70*l wrt l.
-862590
Differentiate s**2*z**3 - 1375308*s + 1476135*z**3 with respect to s.
2*s*z**3 - 1375308
Differentiate 3990911*m - 835812.
3990911
What is the second derivative of 133*h*j*k**2*v - 49*h*j*k**2 - 77*h*j*k*v**2 + 1160*h*k**2*v**2 - 4*j*k*v wrt v?
-154*h*j*k + 2320*h*k**2
What is the third derivative of -3*l*u**3*w**3 - l*u**3 - 24355*l*u*w**3 - 3*u**3*w**2 + 187*u**3 - 15*u*w**2 wrt w?
-18*l*u**3 - 146130*l*u
Find the third derivative of 1091*i**3*k**3 - 573*i**3*k + 59*i**2*k**3 - 243*i*k**2 - k**3 wrt k.
6546*i**3 + 354*i**2 - 6
What is the first derivative of -53219*k**4 - 48478?
-212876*k**3
Find the second derivative of -i**3*p*x**2 + 2*i**3*p*x + 128*i**3*x - 60*i*p*x**2 + 2*i*p - 15*i*x**2 - 4*p*x wrt x.
-2*i**3*p - 120*i*p - 30*i
Differentiate 26*g*i**4 + 332*g*i**2 + g - 34665 wrt i.
104*g*i**3 + 664*g*i
What is the third derivative of 458575*p**5 - 30*p**2 - 27370 wrt p?
27514500*p**2
What is the first derivative of -169*c**3*p*q**3 + 2*c**3*q**3 - c*p*q**3 + 565*q**3 wrt p?
-169*c**3*q**3 - c*q**3
Find the third derivative of 8*n**6 + 59*n**4 - 8*n**3 - 53953*n**2.
960*n**3 + 1416*n - 48
What is the second derivative of -16251*a**2*j*o**2 - 5*a**2*j*o + 2*a*j*o - 320*j + 3*o**2 wrt a?
-32502*j*o**2 - 10*j*o
What is the second derivative of 2*k**5 + 10369*k**4 + 2*k**2 - 410983*k?
40*k**3 + 124428*k**2 + 4
What is the derivative of -g**2*w + 1804*g**2 + 2*g*w - 7*g - 1842439*w wrt g?
-2*g*w + 3608*g + 2*w - 7
Find the first derivative of -23*r*z**2 + 180*r*z + 4*r - 10098*z**2 + 3*z wrt r.
-23*z**2 + 180*z + 4
What is the second derivative of -2*d**3 - 42816*d**2 - 387*d - 154?
-12*d - 85632
Find the second derivative of 14*l**5 - l**4 - 227*l**2 + 141329*l wrt l.
280*l**3 - 12*l**2 - 454
What is the second derivative of 1833278*w**4 - 3160679*w?
21999336*w**2
Find the second derivative of 87742*t**3 + t**2 + 569*t - 66.
526452*t + 2
What is the third derivative of -2*c**3*u**3 - 221*c**3*u - 15*c**2*u**3 + 6003*c**2*u**2 + 4127*u**3 wrt u?
-12*c**3 - 90*c**2 + 24762
What is the third derivative of 117*w**5 - 11*w**4 - 3*w**3 - 30*w**2 + 4232?
7020*w**2 - 264*w - 18
What is the derivative of 616244*d**2 - 419596 wrt d?
1232488*d
Find the third derivative of -2*q**6 - 4476*q**3 + 2*q**2 - q - 1357 wrt q.
-240*q**3 - 26856
Find the third derivative of 640*b**4 + 1203*b**3 + 72022*b**2 + 5*b - 4 wrt b.
15360*b + 7218
Find the first derivative of -253*l**2*q - 2*l*q - 7*l + 229*q - 134 wrt l.
-506*l*q - 2*q - 7
Find the first derivative of -1427530*j*v**2 - 2331431*v**2 wrt j.
-1427530*v**2
What is the second derivative of 213*k**3*z**2 + k**3*z + k + 6*z + 14 wrt z?
426*k**3
What is the second derivative of 1817*i**3 + 3*i**2 + 45382*i wrt i?
10902*i + 6
What is the first derivative of -4006*a**2*x - 7*a**2 - 2*a*x + 9399*a - x wrt x?
-4006*a**2 - 2*a - 1
Find the second derivative of -13*a**4 + 725*a**2 - 58269*a - 1 wrt a.
-156*a**2 + 1450
What is the third derivative of 111821*y**4 - y**2 + 4*y - 480 wrt y?
2683704*y
Find the third derivative of -236574*a**3 + 8953*a**2 - 3.
-1419444
What is the second derivative of 10*j*p**3*x**3 + 8*j*p**2 - 2*j*p + 135*j*x**3 + 364*p**3 - 6*x**3 wrt p?
60*j*p*x**3 + 16*j + 2184*p
Find the second derivative of 8*b**3 - 603*b**2 - 340*b + 3.
48*b - 1206
Find the second derivative of 7*k**3*m**2 - k**3*q*r + k**3*r - 2*k**2*q - 4*k*m**2*q*r + 12*k*m*r + 33*k*r - m**2*r - 41*m**2 wrt m.
14*k**3 - 8*k*q*r - 2*r - 82
What is the first derivative of 48706*j**2*s**3 - 8*j*s**3 + 9321*s**3 - 2*s**2 + s wrt j?
97412*j*s**3 - 8*s**3
What is the second derivative of 98131*b**3*s**2*v - 11*b**3*s**2 + b*s**2 + b*s + 91186*s**2*v - 9 wrt b?
588786*b*s**2*v - 66*b*s**2
What is the third derivative of l**3*y - 469045*l**3 + 3648*l**2 - 49*l*y + 2*l wrt l?
6*y - 2814270
Find the first derivative of 68335*w**3 - 2*w - 320438 wrt w.
205005*w**2 - 2
Differentiate -189420*l**4 + 1606.
-757680*l**3
What is the third derivative of -146225*p**6 + 5*p**5 - 799486*p**2 wrt p?
-17547000*p**3 + 300*p**2
Find the third derivative of 792174*c**6 + 536697*c**2 wrt c.
95060880*c**3
Find the second derivative of 13*u**3 + 85*u**2 + 8426*u.
78*u + 170
Find the second derivative of -45272*y**5 + 2*y**3 + 836*y - 34.
-905440*y**3 + 12*y
Find the second derivative of 20999*k**5 - 1512*k - 12 wrt k.
419980*k**3
Find the first derivative of 180*b**2*v - 16*b*v + 688*v - 6 wrt b.
360*b*v - 16*v
Differentiate 6*l**3 - 2*l**2 - 920*l + 3778 wrt l.
18*l**2 - 4*l - 920
What is the third derivative of -27107*l**3*o - l**2*o + 21935*l**2 wrt l?
-162642*o
What is the third derivative of j**5 + 885*j**4 + 3*j**3 + 4*j**2 + 9383*j wrt j?
60*j**2 + 21240*j + 18
What is the first derivative of 687*c**2*g + 33*c**2*h**3*o + 2*c**2*h**3 - 240*c*g*o + c*h*o - 16*c*h - g*h**2 wrt o?
33*c**2*h**3 - 240*c*g + c*h
What is the derivative of -49441*f + 13891 wrt f?
-49441
Differentiate -3*v**3*y**3 + 2684*v**3*y**2 + y**3 + 20*y**2 - 10*y with respect to v.
-9*v**2*y**3 + 8052*v**2*y**2
What is the second derivative of 6706*l**2 - 130*l + 26?
13412
What is the derivative of -71806*n + 97709?
-71806
Find the second derivative of -38492*h**2 - 5*h - 495 wrt h.
-76984
What is the derivative of -1085*g**2*k - 2*g**2 - 2*g*k + 7*g + 66*k + 3145 wrt k?
-1085*g**2 - 2*g + 66
What is the first derivative of -44590*x - 43324?
-44590
Differentiate 31*n**4 + 3*n**3 - 8*n**2 - 20*n - 1246927.
124*n**3 + 9*n**2 - 16*n - 20
What is the third derivative of 11*h**4 + 47707*h**3 + 2225*h**2 - 13 wrt h?
264*h + 286242
What is the second derivative of l**3 - 166657*l**2 + 3119*l wrt l?
6*l - 333314
Find the second derivative of 240023*k**2 + k - 149602.
480046
Find the third derivative of 205931*n**3 + 234856*n**2 wrt n.
1235586
Find the first derivative of -137147*s + 56235 wrt s.
-137147
Find the third derivative of -688*n**3*p**3 - 3*n**3*p - 16*n**2*p**3 + 339*n**2*p**2 wrt p.
-4128*n**3 - 96*n**2
What is the third derivative of 105*a**6 - 4*a**5 - 9*a**3 - a**2 - 67*a - 2023?
12600*a**3 - 240*a**2 - 54
Find the third derivative of -430*d**6*v**2 - 49*d**6*v - 999*d**2*v**2 + 12*d + v wrt d.
-51600*d**3*v**2 - 5880*d**3*v
Find the third derivative of 101
|
{
"pile_set_name": "DM Mathematics"
}
|
0*g**5 + w*g**2 - 6*g**2 - 5*g**2 wrt g?
600*g**2
Let j(p) = -p**3 - p - 2. Let c be j(-2). Suppose 5*h = 3*h + c. Find the first derivative of 2*o**3 + h + 2*o**3 - 2 wrt o.
12*o**2
Let n(b) be the first derivative of -2*b**3/3 + b**2/2 + 51*b + 7. Differentiate n(v) with respect to v.
-4*v + 1
Suppose 0 = 3*l + 1 + 5. Let f(k) = 2*k**2 + 4*k + 3. Let r be f(l). Find the second derivative of -2*y**5 + 19*y**2 - 19*y**2 + r*y wrt y.
-40*y**3
Suppose -2*x = -16 - 10. What is the derivative of -2 - 8*z**3 + x*z**3 - 4*z**3 wrt z?
3*z**2
Find the second derivative of 0*p**4 - 4*p - p + 8*p**4 wrt p.
96*p**2
Find the second derivative of 5*x**2 + 6*x - 33*x + 13*x wrt x.
10
Let a = 13 - 8. Suppose -3*c - 10 = -a*c. What is the third derivative of h**2 + 3*h**5 - c*h**5 - 5*h**2 wrt h?
-120*h**2
Suppose 4*v + 13 = 5*s, 7*v - 4*v + 3*s - 24 = 0. Suppose -4*c - 20 = -2*o, 0 = 3*o - c - v*c - 28. What is the derivative of o - 2 + 2*a**4 - 3 wrt a?
8*a**3
Let h be (10 - 12)*(0 - -1) + 5. Let w(k) be the first derivative of 0*k - k**h - 3/2*k**2 - 2. Find the second derivative of w(n) wrt n.
-6
Let d = -3 - -7. Find the first derivative of 5 - d*w**2 + 4*w**2 - w**4 - 6 wrt w.
-4*w**3
Let k(i) = -12*i - 43. Let d(a) = 11*a + 44. Let n(f) = -3*d(f) - 4*k(f). Find the first derivative of n(p) wrt p.
15
Let y(r) = r**5 - r**4 - 1. Let m(k) = 4*k**5 - k**4 + k - 1. Let q(l) = m(l) - y(l). Find the second derivative of q(t) wrt t.
60*t**3
Let b(l) be the second derivative of 17*l**4/12 + 22*l**2 - 11*l. Differentiate b(y) wrt y.
34*y
Let l(a) = a. Let j(v) be the third derivative of -v**5/10 - v**4/12 - v**3 + 2*v**2. Let h(u) = j(u) + 2*l(u). What is the derivative of h(z) wrt z?
-12*z
Let z(u) = -7*u**2 + 4 - 2*u - u**3 + 2*u. Let f be z(-7). What is the second derivative of 5*c**5 + 4*c**2 - c - f*c**5 - 4*c**2 wrt c?
20*c**3
Suppose 0 = -3*l - 7 - 8. Let a(k) = -7*k**3 - 9*k**2. Let d(v) = 4*v**3 + 5*v**2. Let j(c) = l*d(c) - 3*a(c). Find the third derivative of j(b) wrt b.
6
Let d(a) be the second derivative of a**4/12 + 5*a**3/3 + a**2 - 4*a. Let l be d(-10). Differentiate -2*i + 4 + 3*i - l*i + 0*i with respect to i.
-1
Let x(d) = 20*d**3 - 12*d**2. Let c(v) = -10*v**3 + 6*v**2. Let l(q) = 11*c(q) + 6*x(q). What is the third derivative of l(i) wrt i?
60
Let k = 3 + 1. Suppose -k = -5*n + 6. Find the third derivative of b - n*b**4 + 7*b - 8*b - 2*b**2 wrt b.
-48*b
Differentiate 5*v**2 + 4*v**2 - 9 - 11 + 5 with respect to v.
18*v
Let g(u) be the second derivative of -2*u + 1/3*u**3 + 3/2*u**2 + 0. What is the derivative of g(t) wrt t?
2
Let u(b) be the second derivative of b**7/42 - 5*b**3 - 31*b. What is the second derivative of u(s) wrt s?
20*s**3
Let b(l) be the third derivative of -7*l**5/20 - 4*l**3 + 2*l**2. What is the first derivative of b(y) wrt y?
-42*y
Let n(t) = -6*t**3 - 5*t + 5. Let m(d) = 3*d**3 + 2*d - 3. Let z(k) = 5*m(k) + 2*n(k). Differentiate z(h) with respect to h.
9*h**2
Let n(f) be the second derivative of f**8/112 - f**4/6 + 5*f**2/2 - 3*f. Let x(q) be the first derivative of n(q). What is the second derivative of x(r) wrt r?
60*r**3
What is the second derivative of -11*o + 24*o**3 - 6*o - 7*o**3 + o wrt o?
102*o
Let r(m) = m - 6*m + 0*m**3 + 1 + 4*m + 4*m**3. Let p be r(1). Find the second derivative of k**4 + 3*k - p*k**3 + 2*k**4 + 4*k**3 wrt k.
36*k**2
Let j(f) be the first derivative of -8*f**3/3 + 7*f**2 - 14. What is the second derivative of j(s) wrt s?
-16
What is the second derivative of 3*v**4 + v - 11*v**4 + 2*v wrt v?
-96*v**2
Suppose 0*z + 3*z = 9. Suppose 0 = 2*q + q - r - 14, 4*q - 4*r - 32 = 0. What is the second derivative of 11*d**q + 2*d**4 - 2*d - 11*d**z wrt d?
24*d**2
Suppose 0 = -4*x - 6 + 14. Find the second derivative of 2*k - 4*k + 5*k - 4*k**3 + x*k wrt k.
-24*k
Let q(o) = 5*o + 8. Let f(j) = -j - 1. Let w(l) = -3*f(l) - q(l). Differentiate w(a) with respect to a.
-2
Let a be (14/(-35))/(4/(-40)). Let y(q) be the first derivative of a*q + 0*q**4 - 3 + 2/5*q**5 + 0*q**2 + 0*q**3. Differentiate y(c) with respect to c.
8*c**3
Let l be -2*((-14)/4 + 2). Suppose 16 = 2*o - 2*m - m, m + 10 = l*o. Find the third derivative of 3*b**4 + 0 + 0 - 2*b**o wrt b.
72*b
Suppose 2*c - 7 = 3. Find the second derivative of 4*h**3 - 5*h + 9*h - c*h**3 wrt h.
-6*h
Let l be 1*(-4 + 2 - -5). Let j(u) = 4*u**5 + 3*u**3 + 4*u**2 - 3. Let t(i) = -i**3 + 1. Let h(w) = l*t(w) + j(w). What is the third derivative of h(y) wrt y?
240*y**2
Suppose 6 = -2*i + 4*i. What is the second derivative of y - 2*y**5 - i*y + 3*y wrt y?
-40*y**3
Let n(b) be the first derivative of -b**6/180 - b**4/8 - b**3/3 + 3. Let o(v) be the third derivative of n(v). Differentiate o(z) with respect to z.
-4*z
Let x be (21/(-14))/((-2)/4). Let q = -2 + x. What is the derivative of -w**2 + 0*w**2 + 2 - w**2 - q wrt w?
-4*w
Let s(a) = a**3 - 5*a**2 + a - 3. Let r be s(5). What is the third derivative of -13*k**r + 13*k**2 - 3*k**5 - 6*k**2 wrt k?
-180*k**2
Let a(h) = -6*h**4 - h**2 - 14*h + 2. Let o(m) = -37*m**4 - 6*m**2 - 85*m + 13. Let z(l) = -39*a(l) + 6*o(l). What is the second derivative of z(u) wrt u?
144*u**2 + 6
Let d(z) be the second derivative of 3*z**8/56 - z**4/3 + 6*z. Find the third derivative of d(t) wrt t.
360*t**3
Let i = 1 + 0. Find the third derivative of i + q**4 + 3*q**2 - 1 wrt q.
24*q
Let z(o) = -16*o**2 - 36*o - 14. Let s(m) = -5*m**2 - 12*m - 5. Let f(v) = 14*s(v) - 5*z(v). What is the second derivative of f(a) wrt a?
20
Let n be ((-472)/10)/((-24)/60). What is the derivative of 3*u + 121 - n + 7*u wrt u?
10
Let v(s) be the third derivative of 0*s**3 + 0*s**4 + s**2 - 1/60*s**5 + 0*s + 1/60*s**6 + 0. What is the third derivative of v(q) wrt q?
12
Let u(w) = w**2 - 6*w + 3. Let a be u(6). Let z be (6/(-5))/(1/(-5)). What is the third derivative of -6*m**2 + a*m**2 - m**z + m**6 - 3*m**6 wrt m?
-360*m**3
Let v(k) be the second derivative of -2*k - 1/6*k**3 + 0*k**4 + 1/20*k**5 + 0*k**2 + 0. Find the second derivative of v(m) wrt m.
6*m
Suppose -5*v - 2 = -2*f + 2, 3*f - 6 = 0. Let p be v + 2 + -1 - -1. What is the second derivative of 2*h + 6*h**p - 6*h**2 + 2*h**3 wrt h?
12*h
Let s = 18 - 13. Suppose l - 4 = y, -s*l + y + 0 = -16. What is the first derivative of 12*f + 2 - 3*f**l - 12*f wrt f?
-9*f**2
Let l(n) be the second derivative of 0*n**2 + 1/3*n**3 + 0*n**6 + 0*n**5 - n + 0*n**4 + 0 + 1/7*n**7. What is the second derivative of l(d) wrt d?
120*d**3
Let c = -13 + 9. Let j be -6 - c - -19*1. What is the second derivative of -j - 3*m**3 + 17 - 2*m wrt m?
-18*m
Let r(s) be the third derivative of -13*s**6/120 - s**5/10 - s**2. Find the third derivative of r(x) wrt x.
-78
Find the third derivative of 16 + 5*d**4 - 14 + 18*d**4 + 18*d**4 + 2*d**2 wrt d.
984*d
Let u be ((-1)/(-2))/(-1) + (-10)/(-4). Let w(j) be the first derivative of 0*j + 3/4*j**4 + j**u + 3 + 0*j**3. What is the second derivative of w(p) wrt p?
18*p
Let k(h) be the first derivative of -11*h**5/5 - 19*h**2/2 - 10. What is the second derivative of k(z) wrt z?
-132*z**2
Let m(z) be the second derivative of -z**6/30 + 8*z**4/3 - 43*z. What is the third derivative of m(f) wrt f?
-24*f
Let m(w) = -45*w**2 - w - 48. Let f(o) = -o - 1. Let v(r) = -f(r) + m(r). What is the derivative of v(t) wrt t?
-90*t
Let c(y) = -3*y**3 - 2*y**2 - 2*y + 4. Let o(q) = q**2 + q + 1. Suppose -5*h + 8 = -h. Let n(w) = h*o(w) + c(w). What is the derivative of n(m) wrt m?
-9*m**2
Suppose 0 = -4*j + 5*h + 26, 2*j + 5*h + 1 = -1. Find the second derivative of 2*u**2 - j*u + u**2 - u + 2*u wrt u.
6
Let y be 2/((-2)/(-3)*1). What is the third derivative of 2*a**3 - 2*a**y - 3*a**4 + 4*a**4 - 2*a**2 wrt a?
24*a
What is the third derivative of 2*q**2 - 45*q**4 + 34*q**4 + 4*q**2 wrt q?
-264*q
Let l be 1/4 + (-11)/(-4). What is the second derivative of 2*i**2 + i - l*i + i**2 wrt i?
6
Suppose -6*i + 2*i + 16 = 0. What is the first derivative of -3 - o**4 - 4*o - i*o + 8*o wrt o?
-4*o**3
What is the derivative of 10*h**3 - h**3 + 31*h**2 - 61 + 5*h**2 - 7*h**3 wrt h?
6*h**2 + 72*h
Let q(p) = 4*p + p**2 + 3 + 0*p + 2*p. Let o be q(-6). Find the second derivative of s**o + 2 - 2 + 2*s wrt s.
6*s
Suppose -11 + 3 = -a + 3*j, 4*a = 5*j + 18. What is the third derivative of 8*b**5 - 22 + 6*b**a + 3*b**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
ivide h?
True
Suppose -2*m - 5*i = -13, 0*m + 4*i = 4*m + 16. Does 37 divide 11 + 68 + 1 + m?
False
Suppose 0 = -h + 5 + 1. Does 8 divide (2/h + 1)*6?
True
Let q = 15 + -8. Let f(v) = 9*v**3 + v**2 + 7*v + 3. Let a(j) = -5*j**3 - j**2 - 4*j - 2. Let t(c) = q*a(c) + 4*f(c). Is 14 a factor of t(4)?
True
Let t(q) = q**2 + 11*q + 8. Let z be t(-8). Is 15 a factor of 65/2 + 8/z?
False
Let m(v) = -43*v**2 + v - 1. Let g(b) = 43*b**2 - b + 1. Let j(h) = -3*g(h) - 4*m(h). Does 22 divide j(1)?
False
Let d(p) = p + 9. Let c be d(-6). Let y(k) = -k**3 + 14*k**2 - 6*k - 14. Let s(a) = a**3 - 15*a**2 + 6*a + 15. Let z(m) = c*s(m) + 4*y(m). Does 8 divide z(10)?
False
Suppose 2*l - 2*z + 7*z = 19, 0 = -2*l - 4*z + 24. Is 22 a factor of l?
True
Suppose 0 = -g + 30 - 8. Is g a multiple of 3?
False
Suppose 0 = u - 0*u - 5. Is u a multiple of 3?
False
Let c(h) = h - 8. Let l be c(11). Suppose -118 = -4*t + 2*u, -l*u = -t - 4*t + 149. Suppose -t = -2*w - 0. Is w a multiple of 7?
True
Suppose 5*m + n - 44 = -0*n, -4*m + 12 = -5*n. Let y(b) = -b**3 + 7*b**2 + 9*b + 3. Let f be y(m). Let t = 29 + f. Is t a multiple of 24?
False
Suppose c = 6*c - 15. Suppose -8*d = -9*d + 12. Is 17 a factor of (51/12)/(c/d)?
True
Suppose 3*r - 36 = -r. Suppose 12 = c - r. Is 19 a factor of c?
False
Let r be 40 + (0/2 - 0). Suppose -2*s - r = 6. Let p = -11 - s. Does 5 divide p?
False
Let d = -9 + 13. Suppose -d*p + 3*p + 105 = 5*u, 0 = 3*u - 5*p - 35. Is 10 a factor of u?
True
Let j(c) = 11*c**2 + 6 + 17*c + 0*c**3 + 17*c**2 + 0 - 4*c**3. Let x(u) = 3*u**3 - 19*u**2 - 11*u - 4. Let m(q) = -5*j(q) - 7*x(q). Is m(-6) a multiple of 3?
False
Suppose 355 = 2*a - 3*t, 3*t = -4*a - 0*t + 719. Does 24 divide a?
False
Let m(c) = -4*c - 16. Is m(-12) a multiple of 16?
True
Let b(i) = -i**2 - i + 70. Suppose m = d - 1, 2*d - 5*m - 3 - 2 = 0. Is b(d) a multiple of 19?
False
Suppose -6*g + 42 = -3*g. Does 7 divide g?
True
Let q(z) = -3*z**3 + 2*z**2 - z + 1. Let v be (-1 + 2)/(2/(-4)). Is 8 a factor of q(v)?
False
Let z be (-1 + 4)/((-6)/(-8)). Suppose 3*r - 291 = -3*o, o - z*r = -4*o + 449. Suppose -2*b + 38 = -3*u, 20 = -5*b + 2*u + o. Does 7 divide b?
False
Suppose -6*x = 2*x - 224. Is 7 a factor of x?
True
Suppose 0 = 2*i, -n = 4*n + 3*i - 10. Suppose -10 = n*g - 38. Is g a multiple of 14?
True
Let h = 21 + -16. Suppose 53 = h*g - 2*q, -2*q + 2 + 11 = g. Does 11 divide g?
True
Suppose -5*x + 111 + 24 = -5*r, -3*x = r - 73. Is x a multiple of 3?
False
Suppose 5 = 5*v - 10. Suppose v*u = -0*u. Suppose z + 3 - 5 = u. Is z a multiple of 2?
True
Does 11 divide 21 - (9/6 - 1)*-2?
True
Let x(t) = t**3 + 7*t**2 - 8*t + 2. Let n be x(-8). Suppose -2*l + a + 0*a = -47, 0 = n*l + 4*a - 22. Does 7 divide l?
True
Does 24 divide (0 - (3 - 2))*-74?
False
Let j = 5 - 0. Let p be 2/(-7) + (-710)/(-35). Suppose 0*x + x = -j*r - p, r = -x. Is 3 a factor of x?
False
Let h(z) = -5*z**2 - 3*z - 6. Let y be h(-6). Let i = -98 - y. Suppose -3*c + i = 2*f, -3*c + 25 + 7 = f. Is f a multiple of 19?
True
Suppose -4*l = -3*l - 22. Is l a multiple of 11?
True
Does 21 divide (-196)/8*96/(-14)?
True
Let b(k) = -7*k - 1. Let h be b(-1). Suppose 0 = o + 2*o - h. Is 2/((-2)/(-19))*o a multiple of 19?
True
Let n = 12 + 15. Does 9 divide n?
True
Let c = -13 + 51. Is 6 a factor of c?
False
Suppose -2*r - 3*r + 20 = 0. Let j be 5*(r + (-9)/3). Suppose -j*o = -69 - 71. Does 24 divide o?
False
Suppose 2*x = 5*x. Suppose 3*z = v - z - 10, z = x. Is 10 a factor of v?
True
Let k be (-1 - 0)/3*3. Is 12 a factor of (1/(3/(-36)))/k?
True
Let p(b) = 4*b**2 - 1. Let a be p(-1). Suppose a*y = -5*z + 7 + 15, -6 = -z - y. Is z even?
True
Let a(l) = l**3 + 2*l**2 + 1. Let f be a(-2). Is 12 a factor of 0 + 39 + f + -4?
True
Suppose -2*z + 3 = -3*i - 0*i, 3*i = 4*z - 3. Let t = i - -61. Is t a multiple of 12?
True
Suppose -39 = 4*o - 2*r - 153, 0 = -2*o - 5*r + 63. Is o a multiple of 5?
False
Suppose z - 9 = -2*z. Suppose 0*r = -z*r + 27. Suppose 0 = 3*c + r, m + 2*c = 6 + 20. Is m a multiple of 17?
False
Let v(h) = -12*h + 6. Does 26 divide v(-6)?
True
Suppose 15 = -3*n, 0*d + 4*d = -3*n + 177. Is d a multiple of 16?
True
Suppose 7*f = -0*f + 637. Is f a multiple of 24?
False
Does 17 divide (32/12)/(-2)*(-306)/4?
True
Let m(u) = 8*u + 2. Let w be m(5). Let g = -14 + w. Is 7 a factor of g?
True
Does 7 divide (296 - 2)*(-10)/(-30)?
True
Suppose -13*p + 12*p + 201 = 0. Does 33 divide p?
False
Let c(v) = -v**2 - 3*v**2 + 2*v + 2*v**2 + 12*v**2. Is c(-2) a multiple of 14?
False
Suppose 0 = 4*k - 2*l + 6, 3 = -5*k - 3*l + l. Let w = k + -25. Let o = -14 - w. Does 7 divide o?
False
Let k = 24 - -75. Suppose 2*s = 5*u + 3*s - 46, 3*s + 42 = 5*u. Suppose k = 4*b - u. Is b a multiple of 27?
True
Let f = -68 - -117. Suppose 5*o = o + 348. Let z = o - f. Is z a multiple of 19?
True
Let f(x) = x + 2. Let o be f(-4). Let k be (-40)/(-18) - o/(-9). Suppose -5 = p - k*p. Is 5 a factor of p?
True
Let v = -11 - -36. Suppose 4*n - 40 = -2*p - 0*n, 5*n = 5*p - v. Suppose -p = 5*t, -48 = -3*b - 3*t + 6*t. Is 9 a factor of b?
False
Let d be 2/(2 + 24/(-15)). Suppose -60 = -4*z + 156. Suppose -3*q = d*x - 5*q - 90, -3*x - 3*q + z = 0. Is 9 a factor of x?
True
Let k(q) = q**2 + 2*q + 168. Does 42 divide k(0)?
True
Suppose -2*y + 28 = x, 5*y - 3*y - 32 = x. Is y a multiple of 5?
True
Suppose -36 = v - 4*j, -2*j - 99 = 5*v - 7. Let p be (23 + -3)/((-2)/v). Suppose 0*y = -5*y + p. Is y a multiple of 11?
False
Does 34 divide (-84)/18*(-45)/2?
False
Let f(w) = w**2 - 3*w - 11. Let h be f(-6). Let d = -1 + h. Is 22 a factor of d?
False
Suppose -4*g + g = -3. Let h be 2 + (-186)/((-3)/g). Suppose 21 = m - 5*c - 11, 2*m - h = -5*c. Is m a multiple of 13?
False
Suppose -5*n = 5, -2 = 2*y + 3*n - 3. Suppose 7*i + 135 = 3*j + y*i, -4*i - 212 = -5*j. Does 8 divide j?
True
Suppose 0 = w + 3, -w = -3*u + 68 + 55. Is 8 a factor of u?
True
Is 10 a factor of (28/8 - 3)/(3/108)?
False
Suppose -5 - 1 = 2*o + 5*u, 0 = -3*o - 3*u. Suppose v - 11 = o. Does 6 divide v?
False
Let t = -14 + 11. Is 12 a factor of 4*5 - 1 - t?
False
Suppose -2*p + 18 = b, -2 + 20 = p + 5*b. Let x(q) = 2*q - 11. Is 3 a factor of x(p)?
False
Let f(o) = -3*o + 43. Let v(x) = -2*x + 29. Let b(j) = 5*f(j) - 7*v(j). Let g be b(9). Suppose 0 = -g*k + 3, -3*k + 7*k - 99 = -5*p. Is 19 a factor of p?
True
Let u(g) = 14 - 3*g + 0*g - 15 - 2*g + 2*g**2. Let s be u(6). Suppose -3*j + 0*j = 4*h - s, 0 = -j - 3*h + 17. Is j a multiple of 6?
False
Let c(t) be the third derivative of -t**4/6 - t**3/3 - t**2. Does 17 divide c(-9)?
True
Is 2761/33 + (4/(-3))/2 a multiple of 7?
False
Let k be -1 + (-1)/((-1)/(-8)). Let h be 4/18 + (-187)/k. Suppose 4*z - 19 = h. Does 4 divide z?
False
Let c be ((-44)/(-6))/((-2)/(-6)). Suppose -2*f + c = -0*f. Is 3 a factor of f?
False
Let g(h) = h**3 - 7*h**2 + 9*h - 15. Is g(6) a multiple of 3?
True
Let u be (-5)/((-15)/(-8))*-3. Let b = u + 20. Does 17 divide b?
False
Let s = 41 - 21. Is s a multiple of 5?
True
Let s(g) = 9*g**2 + 7 - 4 - 2 - 2*g. Let r be (-7)/((-14)/4) + -1. Is 8 a factor of s(r)?
True
Let o(i) = -2*i**3 - 2*i**2 + 2*i + 7. Let j be o(-6). Is 9 a factor of j/20 - (-1)/4?
True
Let y = -2 - -2. Suppose -3*f + 7 + 20 = y. Let n = 14 - f. Is n a multiple of 5?
True
Let s(t) = 2*t**2 + 1. Let g be s(-1). Suppose -b - 4*w = 12, -g*b = 2*b - w + 60. Does 6 divide 3/(6/2) - b?
False
Does 7 divide (90/4)/(-5)*-2?
False
Let z(g) be the second derivative of g**3/6 + 5*g**2/2 + g. Let f be z(-5). Suppose -5*m = -f*m - 3*t - 198, 0 = -4*m - 5*t + 151. Does 15 divide m?
False
Let m(x) = 7*x**2 - x + 1. Let l be m(1). Let n(u) = u + 2. Is 4 a factor of n(l)?
False
Suppose 0*z + 20 = 4*z + 2*f, -20 = -4*z - 5*f. Suppose 13 = 4*p + z. Does 2 divide p?
True
Suppose -26 = -0*i - 2*i + 4*w, 4*w = -i + 13. Is 13 a factor of i?
True
Let d = 23 + 13. Is 18 a factor of d?
True
Is 7*((-16)/(-4) + -2) a multiple of 14?
True
Let v(d) be the second derivative of d**4/12 + 2*d**3/3 + d**2/2 + 2*d. Let l be v(3). Suppose -l = -g - 2. Is g a multiple of 11?
False
Suppose -3*c = 0, 275 = g + 4*g + 4*c. Is 11 a factor of g?
True
Let p(d) = -2*d - 10. Let t be p(-9). Is 5 a factor of (150/40)/(2/t)?
True
Let y(g) = 2*g**2 - 14*g + 11. Is y(11) a multiple of 27?
False
Suppose 0 = x - 0 - 19. Is x a multip
|
{
"pile_set_name": "DM Mathematics"
}
|
(j))?
-12*j - 324
Let n(g) = 1293*g**2 - 3*g. Let p(a) = a. Calculate n(p(t)).
1293*t**2 - 3*t
Let w be 0/2 + -2 + 4. Let o(c) = -4*c**2 - 2*c + 2*c**2 + w*c. Let r(u) = -5*u**2. Calculate o(r(j)).
-50*j**4
Let y(o) = o**2. Let f(b) be the first derivative of b**4/24 - b**2 - 3. Let d(w) be the second derivative of f(w). What is d(y(r))?
r**2
Let c(b) = -7*b**2 + 4*b**2 + 5*b**2 + 0*b**2. Let g(v) = -5*v + v + 0*v. Calculate g(c(y)).
-8*y**2
Let x(s) be the third derivative of -s**4/24 + 7*s**2. Let h(y) = -y**2. What is x(h(a))?
a**2
Let n(q) = 3*q**2. Let r(s) = 77*s**2. What is r(n(u))?
693*u**4
Let g(f) = -3*f + 4. Let k(o) = 6 - o - 1 - 3*o. Suppose -16 = -3*v - 4*l, -v + 3*l + 0 = -1. Let d(n) = v*k(n) - 5*g(n). Let z(x) = -2*x. What is d(z(y))?
2*y
Let x(v) = 31 - 31 + 2*v**2 + 0*v**2. Let i(c) = 9*c. Give i(x(h)).
18*h**2
Let q(u) be the third derivative of u**4/24 - 10*u**2. Let s(x) = -6*x - 9*x + 5*x. Determine s(q(m)).
-10*m
Let y(f) = 4*f. Let l(k) = -3*k - 346. Calculate l(y(q)).
-12*q - 346
Let r(n) = 31 - 31 + 2*n. Let s(f) = -f. Let d(g) = -g. Let i(o) = -2*d(o) + s(o). Give i(r(w)).
2*w
Let j(p) = p**2. Let l(g) = g**2. Let w(s) = 8*s**2. Suppose -2*t = -b - 17, 2*b = 5*t - 24 - 20. Let y(u) = t*l(u) - w(u). What is j(y(x))?
4*x**4
Let u(j) be the first derivative of 0*j + 0*j**2 - 4/3*j**3 - 3. Let l(v) be the second derivative of -v**4/12 + 3*v. Give u(l(k)).
-4*k**4
Let s(b) = -4*b. Let v(n) = 42*n - 86*n + 48*n. Determine v(s(o)).
-16*o
Let q = 3 + -3. Suppose -2*d + d + 3 = q. Let l(a) = a - d*a - 3*a + 0*a. Let p(y) = y**2. Calculate l(p(k)).
-5*k**2
Let n(z) = 7 - 3*z - 7. Suppose -b + 6 = 2*b. Let x(l) = 3*l**2 + 2 - b*l**2 - 2. Calculate n(x(m)).
-3*m**2
Let c(j) be the second derivative of j**5/30 + 2*j**2 + 2*j. Let z(n) be the first derivative of c(n). Let p(o) = -6*o**2. Determine z(p(h)).
72*h**4
Let r(d) = 2*d**2. Let m(s) be the third derivative of -7*s**4/24 + 19*s**2. Determine m(r(q)).
-14*q**2
Let h(k) = -2*k**2 + 3*k + 3. Let m(x) = -4*x**2 + 7*x + 7. Suppose q = -10 + 3. Let c(b) = q*h(b) + 3*m(b). Let o(i) = -1 - 2*i + 1. Give o(c(t)).
-4*t**2
Let i(w) be the second derivative of w**3/6 + 15*w. Let k(g) be the first derivative of 0*g + 2/3*g**3 - 1 + 0*g**2. Determine k(i(p)).
2*p**2
Let p(u) = -6*u - 7. Let y = -1 + 3. Let c(b) = -2*b - 2. Suppose -8 + 1 = r. Let a(x) = r*c(x) + y*p(x). Let g(m) = m**2. Give g(a(v)).
4*v**2
Let q(b) = 7036 - 7036 + 3*b. Let u(s) be the first derivative of s**3/3 - 1. Calculate u(q(i)).
9*i**2
Let w(r) = -6*r. Let g(y) = 7002*y. Give w(g(x)).
-42012*x
Suppose -5*p - 3*s = -22, -p = -4*p - s + 14. Let o be (p/2 + -1)*2. Let u(n) = 3 - o + n. Let x(q) = 2*q**2. What is u(x(t))?
2*t**2
Let u(z) be the first derivative of z**2/2 - 5. Let d(n) be the third derivative of 1/20*n**5 + 0 + n**2 + 0*n**4 + 0*n + 0*n**3. What is d(u(a))?
3*a**2
Let k be 1*(-1)/((-4)/8). Let f(i) be the second derivative of 0 - 1/6*i**3 - 2*i + 0*i**k. Let y(m) = m. Determine f(y(o)).
-o
Let y(j) = -5*j. Let o(n) = -n. Let r(s) = -25*o(s) + 6*y(s). Let p(w) = -1. Let g(k) = k - 7. Let x(b) = 2*g(b) - 14*p(b). Calculate x(r(h)).
-10*h
Let t(z) = -z. Let f(n) = -15*n - 1. Calculate f(t(b)).
15*b - 1
Let u(i) = -4*i**2 + 3. Let j(v) = 5*v**2 - 4. Let p(l) = -3*j(l) - 4*u(l). Let w(n) be the first derivative of 5*n**2/2 - 1. What is p(w(d))?
25*d**2
Let f(i) be the first derivative of i**6/360 - i**3/3 + 1. Let g(j) be the third derivative of f(j). Let b(h) = -3*h**2. Calculate g(b(c)).
9*c**4
Let j(i) = -28*i**2 - 1. Let m(y) = 7*y**2. Give m(j(w)).
5488*w**4 + 392*w**2 + 7
Let x(o) be the first derivative of -o**6/360 - 2*o**3/3 + 3. Let s(m) be the third derivative of x(m). Let t(p) = -5*p**2. What is s(t(w))?
-25*w**4
Let c(p) = 2*p**2. Let z(a) = 6*a + 8. Give c(z(i)).
72*i**2 + 192*i + 128
Let n(u) = u. Suppose 2*i = v - 8, 4 - 18 = -2*v + 2*i. Suppose 5*b = 3*t + 17, -b = -t + v*t - 9. Let x(a) = -a + t - 1. What is x(n(k))?
-k
Suppose 0*v - 12 = 4*v, -s - 2*v + 5 = 0. Suppose 3*o - o = 3*f - s, 2*o = -f + 9. Let q(n) = 10 - n**o - 10. Let j(t) = -5*t. Calculate q(j(k)).
-25*k**2
Let p(g) = -3*g**2 - 13*g. Let a(c) = -4*c. What is p(a(b))?
-48*b**2 + 52*b
Let u(b) = 3*b. Let o(y) = -29*y - 2. Let h(f) = -1. Let p(c) = -2*h(c) + o(c). Calculate u(p(m)).
-87*m
Let i(w) = 3*w. Let r = 6 + -4. Let y(q) = -4*q**2 - 2*q**r + 0*q**2 + 4*q**2. Give i(y(p)).
-6*p**2
Let g(y) = -3*y**2 + 8. Let p(v) = -7*v**2 - 11*v**2 + 17*v**2. What is p(g(k))?
-9*k**4 + 48*k**2 - 64
Let n(y) = 6*y**2. Let f(s) = 3 + 2*s**2 + 1 + 2*s - 6. Let m(i) = -10*i**2 - 11*i + 11. Let a(r) = -11*f(r) - 2*m(r). What is n(a(u))?
24*u**4
Suppose -2*u - u = -18. Let i(p) = -u + 6 + 3*p. Let t(q) = -2*q. What is i(t(x))?
-6*x
Let p(l) be the first derivative of 2*l**3/3 + 8. Let i(r) = 32*r. Give i(p(v)).
64*v**2
Let r(c) = c**2. Let z(n) = 15 - 11*n**2 - 8 + 3*n - 7. What is z(r(m))?
-11*m**4 + 3*m**2
Let k(d) = -6*d**2. Let z(l) = 103*l + 13. Calculate z(k(b)).
-618*b**2 + 13
Let r(o) = -2*o. Let m(w) = 6*w - 24. Give r(m(y)).
-12*y + 48
Let g be (96/30 + -2)/(9/30). Let w(h) be the second derivative of 0*h**2 + g*h + 0 - 1/3*h**3. Let i(t) = -3*t. What is w(i(f))?
6*f
Let i(c) = 2*c**2 - 13*c. Let k(s) = -4*s. Give k(i(f)).
-8*f**2 + 52*f
Let u(y) = 2*y**2. Let r(l) = 46*l**2 + 164 - 164. Give r(u(n)).
184*n**4
Let t(u) = u - 3 + 3 + 0*u. Let w(p) = 1. Let q(m) = 2*m + 4. Let a(i) = q(i) - 4*w(i). What is a(t(y))?
2*y
Let q(p) be the third derivative of p**5/10 - p**2. Let y(z) = -z - 7. Let c(n) = -2. Let m(l) = -7*c(l) + 2*y(l). What is m(q(r))?
-12*r**2
Let s(p) = 3*p + 5. Let y(r) = -r - 2. Let g(h) = -4*s(h) - 10*y(h). Let q(o) be the second derivative of o + 0 + 0*o**2 - 1/2*o**3. Give q(g(m)).
6*m
Suppose f - 3 = -8, -2*f = 4*g - 178. Let j(h) = g + 13*h - 47. Let d(o) = o**2. What is j(d(i))?
13*i**2
Let w(q) = q**2. Let p(s) = -s + 201. Determine p(w(g)).
-g**2 + 201
Let j(h) = 4*h. Let t(i) = 750*i**2. Determine t(j(o)).
12000*o**2
Let q be (-4)/2 + 5 - 1. Let p(a) = -9 + 9 - a**q. Let b(v) = -9*v. What is p(b(n))?
-81*n**2
Let o(v) = -30*v**2. Let a(t) = -4*t**2 - 2*t. Calculate a(o(p)).
-3600*p**4 + 60*p**2
Let i(p) = -8*p**2. Let o be 2 - 5 - (-5 - -1). Let j(g) = 2*g + 0 + 1 - o. Determine i(j(w)).
-32*w**2
Let f(b) = 9*b**2 - 3*b. Let s(i) = -8*i**2 + 2*i. Let z(a) = 2*f(a) + 3*s(a). Let d(l) = l**2. Calculate d(z(h)).
36*h**4
Let o(q) = 6*q**2. Let f(k) be the third derivative of k**6/360 - 2*k**3/3 - 8*k**2. Let p(x) be the first derivative of f(x). Give o(p(h)).
6*h**4
Let m(i) = -2*i - 9. Let z be m(-6). Let q(n) = -2*n**2 + n**2 + z*n**2. Let u(s) = 8*s**2 - 16*s**2 + 9*s**2. Give q(u(d)).
2*d**4
Let z(q) = 3*q + 21. Let t(n) = -n**2. What is z(t(c))?
-3*c**2 + 21
Let h(o) = 61*o**2. Let k(w) = 117*w. Give k(h(l)).
7137*l**2
Let u(w) = 2*w. Let g(c) be the first derivative of 17*c**3/3 - 4. Calculate u(g(r)).
34*r**2
Let w(a) be the second derivative of 5*a**3/6 + 3*a. Let j(q) = -q**2. Calculate j(w(c)).
-25*c**2
Let j(t) = 5*t**2. Let s(x) = 23*x. Calculate s(j(k)).
115*k**2
Let f = 5 + -2. Let x(y) = -y - f*y + 5*y. Let r(v) be the third derivative of 7*v**4/24 - 2*v**2. What is x(r(i))?
7*i
Let k(b) = 331*b**2 + 4. Let t(i) = -2*i**2. Give t(k(s)).
-219122*s**4 - 5296*s**2 - 32
Let j(g) = 5*g**2. Let o(n) = -6*n - 14. Let a = -8 + 11. Let v(b) = b + 5 + a*b - 2*b. Let p(k) = 5*o(k) + 14*v(k). What is p(j(w))?
-10*w**2
Let d(k) = -k. Let h(u) = 6999*u. Give d(h(f)).
-6999*f
Let h(f) be the third derivative of 7*f**4/24 - f**2 + 13. Let g(r) be the third derivative of r**5/20 - r**2. Calculate h(g(a)).
21*a**2
Let f(z) be the third derivative of -z**5/15 + 5*z**4/24 - 6*z**2 + 2. Let j(p) = -2*p**2. Give f(j(n)).
-16*n**4 - 10*n**2
Let v(r) = r. Let w(h) = -10*h. Let t(a) = -8*v(a) - w(a). Let y(f) = 4*f**2 + 5*f. Determine y(t(b)).
16*b**2 + 10*b
Let h(o) be the first derivative of -2*o**3 - 2. Let a(w) be the third derivative of w**5/20 - 2*w**2. Give h(a(j)).
-54*j**4
Let w(j) = j**3 - 12*j**2 + 11*j + 9. Let m be w(11). Let s be (-2 + 4)*m/6. Let o(x) = 4*x**2 - 3*x**2 - s*x**2. Let b(h) = 2*h**2. Determine b(o(f)).
8*f**4
Let i(s) be the third derivative of -s**4/8 + 29*s**2. Let z(b) = -b + 1. Let c
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{
"pile_set_name": "DM Mathematics"
}
|
t derivative of -9*j**4/4 + 13*j**2/2 + 5*j - 111. Let g(q) = -5*q**3 + 6*q + 3. What is -3*c(l) + 5*g(l)?
2*l**3 - 9*l
Let o(g) = 4*g + 7. Let t(r) = -r - 2. Let j(a) = -a - 7. Let p be j(-5). Let c be (-9)/(-54) + (-245)/30 + 1. Determine c*t(y) + p*o(y).
-y
Let a(n) = 4*n + 62. Let i(j) = -3*j - 63. What is 4*a(x) + 5*i(x)?
x - 67
Let u(z) = -z**3 + 12*z**2 + 19*z - 81. Let q be u(13). Let f(i) = i**2 - 3. Let k(b) = b**2 - b - 7. Determine q*k(n) + 7*f(n).
4*n**2 + 3*n
Suppose 0 = -2*m + 5*k - 19, m - 6 + 18 = 3*k. Let t(i) = 7*i**m - 4 + 6*i + 9*i - 11*i. Let o(h) = -20*h**3 - 11*h + 11. Calculate -4*o(l) - 11*t(l).
3*l**3
Let r(j) = 982*j**2 + 32*j - 22. Let q(s) = -328*s**2 - 10*s + 7. Calculate 16*q(i) + 5*r(i).
-338*i**2 + 2
Let r(j) = -8*j**3 - 5*j**2 + 3*j - 12. Let p(n) = 8*n**3 + 6*n**2 - 4*n + 10. Give 3*p(v) + 4*r(v).
-8*v**3 - 2*v**2 - 18
Let g(w) = 12*w**3 + 5*w**2 + 11*w - 32. Let v(u) = -18*u**3 - 8*u**2 - 17*u + 49. What is 8*g(l) + 5*v(l)?
6*l**3 + 3*l - 11
Let p(w) = 42*w**3 + 6*w**2 + 4*w - 4. Let z(b) = 43*b**3 + 6*b**2 + 5*b - 5. Calculate -5*p(n) + 4*z(n).
-38*n**3 - 6*n**2
Let p(i) = -16*i**3 + 14*i**2 - 14. Let h(l) = -8*l**3 + 6*l**2 - 6. Determine -14*h(g) + 6*p(g).
16*g**3
Let z(m) = 4*m**3 + 3*m**3 + 7 - 7*m + 7*m**2 - 6*m**3. Let v = -2308 - -2304. Let o(c) = c**3 + 4*c**2 - 4*c + 4. Calculate v*z(d) + 7*o(d).
3*d**3
Let r(g) = -g**3 - 3*g**2 + 5*g + 3. Let y(j) = -2*j**3 - j**2. Let a(q) = 14*q**3 + 10*q**2 - 5*q - 4. Let c(s) = a(s) + 6*y(s). What is -3*c(w) - 4*r(w)?
-2*w**3 - 5*w
Let h(v) = 2*v**3 - v**2 - 4*v - 5. Let t(d) = -2*d**3 + 3*d + 3. Let y(w) = -3*h(w) - 4*t(w). Let m(x) = 5*x**3 + 6*x**2 + x + 7. What is -3*m(p) + 7*y(p)?
-p**3 + 3*p**2 - 3*p
Let h(t) = -2*t**3 + t**2 + 1. Let y(n) = -10*n**3 + 7*n**2 + 3*n - 5. What is 6*h(c) - y(c)?
-2*c**3 - c**2 - 3*c + 11
Let o(a) = 2. Let q(y) = -y + 157. Give 3*o(m) - q(m).
m - 151
Let v(g) = -6*g**2 - 5*g. Let x(c) = 42*c**2 + 36*c + 12. Let z(l) = -42*l**2 - 36*l - 10. Let m(b) = 5*x(b) + 6*z(b). What is 5*m(a) - 36*v(a)?
6*a**2
Let b(f) = -6*f + 4. Let k(h) = 17*h - 7. Let x(c) = -51*c + 22. Let g(a) = -11*k(a) - 4*x(a). What is 11*b(s) + 4*g(s)?
2*s
Let d(v) = 3*v - 14. Let l(a) = -7*a + 31. Give -5*d(t) - 3*l(t).
6*t - 23
Let g(d) be the third derivative of -d**6/120 - d**4/8 - d**3/2 + 8*d**2 + d. Let s(h) = -h - 1. Calculate -5*g(q) + 15*s(q).
5*q**3
Let m(q) = -86*q + 4. Let s(y) = -43*y + 2. What is -6*m(z) + 11*s(z)?
43*z - 2
Let q(c) = 68*c**3 - 15*c**2 + c + 2. Let h(f) = 34*f**3 - 9*f**2 + f + 1. What is -5*h(r) + 3*q(r)?
34*r**3 - 2*r + 1
Let j(p) = -3*p**2 - p - 2. Let o(w) = w**3 - 2*w + 2. Let v be o(-2). Let f be -3 + (-3 - (-5 + 0)). Let l(u) = u**2 - u. Calculate f*j(y) + v*l(y).
y**2 + 3*y + 2
Let j(g) be the second derivative of -g**3/6 - g**2/2 - 60*g. Let p(a) = 4*a + 5. Calculate -6*j(m) - p(m).
2*m + 1
Let l(c) be the first derivative of -2*c**3 + c**2 - 2*c - 3. Let n(f) = 5*f**2 - f + 1. Let p = -23 - -19. Let i = p + 1. Calculate i*l(m) - 4*n(m).
-2*m**2 - 2*m + 2
Let i(z) = 183*z**3 - 4. Let j(n) = -75396*n**3 + 1647. Determine 1647*i(d) + 4*j(d).
-183*d**3
Let d(n) = -n**2 - n + 1. Let a(i) = 4 + 3 - i**2 - 3 - 148*i + 145*i. What is a(m) - 3*d(m)?
2*m**2 + 1
Let b(o) = 7*o**2 - 11*o + 23. Let d = -597 + 591. Let m(w) = -4*w**2 + 6*w - 12. Calculate d*b(c) - 11*m(c).
2*c**2 - 6
Let h(i) = -2*i**3 + 14*i**2 + i + 4. Let k(t) = -4*t**3 + 29*t**2 + 2*t + 9. Calculate 5*h(a) - 2*k(a).
-2*a**3 + 12*a**2 + a + 2
Let z(y) = 10*y + 7. Let s(x) = -7*x - 5. Let l(m) = -2*m - 8. Let p be l(7). Let h = p - -17. What is h*z(f) - 7*s(f)?
-f
Suppose -5*n = u + 8, 5*n + 3*u + 6 = 2. Let i(c) = c**3 + 3*c**2 - 1. Let h(w) = -w**3 - 4*w**2 + 2. Let p = -589 + 586. What is n*h(j) + p*i(j)?
-j**3 - j**2 - 1
Let k(j) = 2*j**3 - 3*j**2 + 30*j + 3. Let i(a) = -2*a**3 + 2*a**2 - 30*a - 2. Calculate -3*i(q) - 2*k(q).
2*q**3 + 30*q
Suppose 6*o + 112 = 100. Let m(r) = 1. Let x(v) = v**2 - 2. Give o*m(l) - x(l).
-l**2
Let c(t) = 3*t - t - 5*t. Suppose 6 = 4*a - 6. Let x = 5 + 0. Let g(v) = v**3 + 5*v. Calculate a*g(k) + x*c(k).
3*k**3
Let k(f) be the second derivative of f**4/12 - f**3/6 + f**2/2 + f - 4. Let p(c) = c**2 + c - 1. Calculate -k(j) - p(j).
-2*j**2
Let y(l) = 180*l + 4. Let j(u) = -9360*u - 210. What is -6*j(t) - 315*y(t)?
-540*t
Let a(x) = -614*x**3 - 4*x**2 + 8*x. Let c(g) = -g**2 + 2*g. Give -a(l) + 4*c(l).
614*l**3
Let c = 241 + -250. Let s(x) = -x + 1. Let m be s(-2). Let d = m + -4. Let g(a) = 12*a + 9. Let b(l) = -l - 1. Calculate c*b(n) + d*g(n).
-3*n
Let j(b) = 13*b + 3. Let q(k) = -5 + 2 + 25*k + 18 - 10. Give 5*j(t) - 3*q(t).
-10*t
Let o(b) = 2*b - 5. Let q(p) = 5*p. What is o(l) + 3*q(l)?
17*l - 5
Suppose 3*f - f - 212 = -4*h, 5*h = -4*f + 262. Suppose 9 + h = 3*y. Let a(o) = -o + 8 - y + 10. Let r(g) = -1. Give -a(l) + 3*r(l).
l
Let z(x) = x**2 - 4*x - 4. Suppose -18*n = -23*n + 55. Let a(v) = -3*v**2 + 11*v + 11. Give n*z(k) + 4*a(k).
-k**2
Let n(o) = 39*o**3 - 45*o**2 + 21*o. Let f(p) = 20*p**3 - 23*p**2 + 12*p. Determine 7*f(g) - 4*n(g).
-16*g**3 + 19*g**2
Let i(a) = 3*a**2 + 28*a + 3. Let l be i(-9). Let j(y) = -2*y + 3. Let v(n) = -3*n + 2*n - n + 3. Give l*j(x) + 5*v(x).
2*x - 3
Suppose 0 = -2*f + 1 + 7. Let a(u) = f - 3 - 2*u**3 + 1. Suppose 3*m - 5*p + 10 = 0, 6*p = -m + 2*p - 9. Let v(t) = 3*t**3 - 3. Calculate m*a(b) - 3*v(b).
b**3 - 1
Let v(h) = 5*h**2 + 18. Let a(z) = 4*z**2 + 19. Give -3*a(f) + 2*v(f).
-2*f**2 - 21
Let r(p) = 6*p**3 - p**2 - p. Let b(k) = 215*k + k**2 - 109*k - 105*k. Give -2*b(g) - 2*r(g).
-12*g**3
Let t(w) = 38*w**3 - 10*w**2 - 5*w - 6. Let s(q) = q**3 + 2*q**2 + q + 1. Give 10*s(p) + 2*t(p).
86*p**3 - 2
Let u(o) = 15*o**3 - 6*o**2 - 21*o - 2. Let p(w) = -8*w**3 + 3*w**2 + 9*w + 1. Calculate 7*p(q) + 3*u(q).
-11*q**3 + 3*q**2 + 1
Let p(s) = s**3 + 3*s**2 - s - 3. Let x(u) = -25*u**3 + 0*u + 27*u**3 - 4 - u + 4*u**2. Calculate 4*p(w) - 3*x(w).
-2*w**3 - w
Let a = -58 + 61. Let o(h) = 10*h**a - 1 - 13*h**3 + 6. Let w(j) = -4*j**3 + 7. Calculate -7*o(r) + 5*w(r).
r**3
Let n(m) = m - 1. Let b(s) be the third derivative of 0 - 6*s**2 + 1/24*s**4 - 2/3*s**3 + 0*s - 1/60*s**5. Suppose 0 = 5*u - 0 + 5. What is u*b(l) + 2*n(l)?
l**2 + l + 2
Let m(d) = d**2 + 2. Suppose 3*f - 2 = 4. Let c be (-3)/f*16/(-12). Let i(b) = 13 + 10*b - 3 - 11*b + 5*b**c. Give 2*i(r) - 11*m(r).
-r**2 - 2*r - 2
Let c(x) = x**3 + 3*x**2 - 5*x - 7. Let j(a) be the third derivative of a**6/60 + a**5/15 - a**4/4 - 4*a**3/3 - 55*a**2. Determine 6*c(g) - 5*j(g).
-4*g**3 - 2*g**2 - 2
Let i(n) = -3*n. Let z be 3/(-9) + 0 - (-1175)/141. Let j(k) = -k. Calculate z*j(y) - 3*i(y).
y
Let t(i) = -86*i**2 + 5*i + 5. Let d(n) = 174*n**2 - 9*n - 10. What is -6*d(u) - 11*t(u)?
-98*u**2 - u + 5
Let u(t) = 183*t**2. Let i(a) = -a**2. Determine -2*i(h) + u(h).
185*h**2
Let m(l) = 49*l**3 - 16*l**2 + 11*l - 21. Let y(t) = -10*t**3 + 3*t**2 - 2*t + 4. Determine -2*m(s) - 11*y(s).
12*s**3 - s**2 - 2
Let m(c) = -5*c - 8. Let p(r) be the first derivative of -r**2/2 - r + 198. Let d = 21 - 27. Give d*p(y) + m(y).
y - 2
Let i(c) = -3*c**2 - 2*c + 5. Let w(d) = -2*d**2 + d - 1. Let s(t) = -11*t**2 + 4*t - 3. Let p(r) = s(r) - 5*w(r). Calculate 3*i(f) - 8*p(f).
-f**2 + 2*f - 1
Let m(g) = -5*g**2 - 7*g + 7. Let d(h) = 5*h**2 + 6*h - 6. Let k(z) = -50*z + 93. Let f be k(2). Determine f*d(b) - 6*m(b).
-5*b**2
Let b(j) = -11*j**3 + j**2 + 9*j. Let l(a) = 6*a**3 - a**2 - 5*a. Determine -3*b(p) - 5*l(p).
3*p**3 + 2*p**2 - 2*p
Let o(f) be the second derivative of 5*f**3/6 - 2*f**2 - 112*f. Let q(a) = -11*a + 8. Calculate 13*o(t) + 6*q(t).
-t - 4
Let a(m) = -7*m + 27*m - 3*m - 10*m - 6*m. Let p(f) = -2*f**2 - 7*f. Determine -14*a(v) - 2*p(v).
4*v**2
Let w(l) = 3*l + 6. Let h be 2/(-2 + (-32)/(-20)). Let d(c) = -4*c - 9. Give h*d(y) - 7*w(y).
-y + 3
Let b(q) = 9*q + 1. Let x(n) = 8*n + 1. Suppose 4*w + 5*c - 23 = -0*c, -2*w = c - 7. Let a be (-3 + w)/((7 - 4)/(-21)). Calculate a*x(v) - 6*b(v).
2*v + 1
Let l(n) = n + 1. Let b(o) = -2*o**2 - 3*o - 5. Let p(u) = b(u) + 3*l(u). Let x = -557 + 554. Let z(v) = -v**2 - 3. Determine x*p(c) + 2*z(c).
4*c**2
Let r(u) = u**2 + u + 1. Let s(v) = -5 + 164*v**2 - 159*v**2 + 2*v - 7*v. Calculate -5*r(o) - s(o).
-10*o**2
Let t(
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{
"pile_set_name": "DM Mathematics"
}
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the first derivative of -r**3/2 - 45*r**2/2 - 87*r/2 - 72. Factor d(l).
-3*(l + 1)*(l + 29)/2
Let v(q) be the first derivative of q**4/18 - 4*q**3/9 + 8*q**2/9 - 17. Factor v(p).
2*p*(p - 4)*(p - 2)/9
Factor 166*m**2 + 8*m - 330*m**2 + 166*m**2 - 4*m - 2*m**3.
-2*m*(m - 2)*(m + 1)
Let i(l) = 27*l**4 + 96*l**3 - 87*l**2 - 156*l + 21. Let y(c) = 5*c**4 + 19*c**3 - 17*c**2 - 31*c + 4. Let m(s) = -4*i(s) + 21*y(s). Factor m(d).
-3*d*(d - 3)**2*(d + 1)
Factor -73*y**2 - 89*y - 8 - 73*y - 136 - 6*y - 14*y**3 - y**4.
-(y + 3)**2*(y + 4)**2
Let u = -126 + 126. Let n(v) be the second derivative of u*v**2 + 1/6*v**4 - 4*v + 1/10*v**5 + 0 + 0*v**3. Determine y, given that n(y) = 0.
-1, 0
Let c(h) be the second derivative of -2*h + 0 - 1/16*h**4 + 1/40*h**5 + 0*h**3 - 4*h**2 - 1/320*h**6. Let o(x) be the first derivative of c(x). Factor o(f).
-3*f*(f - 2)**2/8
Let b(t) be the first derivative of t**4/4 - 4*t**3/9 - 59*t**2/6 + 20*t/3 - 72. Factor b(j).
(j - 5)*(j + 4)*(3*j - 1)/3
Find h, given that -31/3*h**2 - 845/3 - 1/3*h**3 - 299/3*h = 0.
-13, -5
Factor 3*p**4 - 25*p - 15*p**3 + 4*p + 6 + 430*p**2 - 403*p**2.
3*(p - 2)*(p - 1)**3
Let g(n) = 5*n**2 + 6*n + 4. Let p(l) = l**2 + l. Suppose 0 = 4*f - 25 + 29. Let x(m) = f*g(m) + 6*p(m). Solve x(d) = 0.
-2, 2
Let t(f) = -57*f**2 - 66*f + 66. Let a(r) = 7*r**2 + 8*r - 8. Let v(j) = 33*a(j) + 4*t(j). Solve v(c) = 0.
0
Let j be 45/(-60)*40/(-14). Factor -75/7*k - 1/7*k**3 - j*k**2 - 125/7.
-(k + 5)**3/7
Let r(k) = -k**2 + 19*k - 12. Let q be r(10). Let f = q - 307/4. Determine b so that f*b**3 - 9/4*b**5 + 3*b**4 + 0 - 3*b**2 + b = 0.
-1, 0, 2/3, 1
Let a be (3/(-36))/(100/(-15) + 5). Let x(t) be the second derivative of 0 - 1/2*t**3 - 9*t + 0*t**4 + a*t**5 + t**2. Factor x(w).
(w - 1)**2*(w + 2)
Suppose 24738*j**4 + 111372*j**3 + 54065*j**2 - 832*j - 218*j - 72*j**3 + 5 + 31442*j**4 = 0. Calculate j.
-1, 1/106
Let t = 434 + -431. Let a(y) be the second derivative of 0*y**4 + 0 - 1/50*y**5 - 1/75*y**6 + 10*y + 0*y**2 + 0*y**t. Factor a(f).
-2*f**3*(f + 1)/5
Let l(f) be the first derivative of 2/27*f**3 - 6 - f**2 - 20/9*f. Factor l(o).
2*(o - 10)*(o + 1)/9
Suppose -2 = -33*q + 35*q. Let t be (-102)/(-198) + q/3. Determine p, given that 2/11*p**2 + 0 - t*p = 0.
0, 1
Let k(b) be the second derivative of -13*b**6/105 - 37*b**5/70 + 29*b**4/21 - 8*b**3/21 - 248*b. Find x such that k(x) = 0.
-4, 0, 2/13, 1
Let o(i) = 2*i**2 - 8. Let w be o(-3). Let j be (-8 - -11)*(w/(-18) - -1). Factor 0*m + j*m**4 + 0*m**2 + 0 + 0*m**3 + 10/3*m**5.
2*m**4*(5*m + 2)/3
Let m be ((-8)/14 + 0)*-7. Let x(d) be the second derivative of -m*d + 0 - 7/33*d**3 - 1/110*d**5 - 5/66*d**4 - 3/11*d**2. Factor x(h).
-2*(h + 1)**2*(h + 3)/11
Find o, given that -14/13*o - 12/13 - 2/13*o**2 = 0.
-6, -1
Suppose 5*k + 5*v - 60 = -20, 5*v = 2*k + 19. Let n be (-10)/(-25)*(1 + (-3)/18). Factor -1/3*i**2 + 1/3*i**k + 0 - 1/3*i + n*i**4.
i*(i - 1)*(i + 1)**2/3
Let p be -3*((-40)/12 + -2). Suppose -q = b - 4*q - 6, -5*b = -q - p. Factor 2*k**3 + b*k**2 + k**4 - 6*k**3 - k + k**3.
k*(k - 1)**3
Let k be (4/8)/((-2)/(-4)). Let c be (-3)/(k + 10/(-4)). Solve -9*l + 0 + 5*l + 2*l + 2*l**c - 4 = 0.
-1, 2
Solve 4/9*r**3 + 10/9 - 22/9*r**2 + 8/9*r = 0.
-1/2, 1, 5
Let f be (1 + (-2 - 0))*7. Let u = f - -9. Solve -10*o - 7*o - 27 - 3*o**u - o = 0 for o.
-3
Let l(x) be the third derivative of 0 + 0*x + 14*x**2 + 1/48*x**5 - 1/32*x**4 + 0*x**3. Suppose l(a) = 0. What is a?
0, 3/5
Find c, given that 51842/5 + 644/5*c + 2/5*c**2 = 0.
-161
Solve -4/3*i + 80/3*i**4 + 52/3*i**3 + 0 - 2/3*i**2 = 0 for i.
-1/2, -2/5, 0, 1/4
Let w(b) = b**2. Let y(i) = 12*i**2 + 4*i + 2. Suppose 0 = 6*c - c. Suppose 30 = 3*a - c*a. Let n(t) = a*w(t) - y(t). Factor n(v).
-2*(v + 1)**2
Suppose -35 = -2*t - 5*p, 19*t - 14*t - 47 = p. Let v be (-13)/(-11) - (11 - t). Solve -10/11*w**2 - 6/11 + 14/11*w + v*w**3 = 0.
1, 3
Let m be (-10*5/300)/((-1)/2). Let y(w) be the first derivative of 3 - 1/15*w**5 + m*w**3 + 0*w + 0*w**4 - 1/3*w**2. Let y(v) = 0. Calculate v.
-2, 0, 1
Let n(s) = s**3 - s**2 - s - 1. Let q(j) = 4*j**3 + 16*j**2 - 4*j - 14. Let m(g) = n(g) + q(g). Factor m(x).
5*(x - 1)*(x + 1)*(x + 3)
Let t be (-84)/(-42) + (-37)/20. Let n(k) be the second derivative of -3/4*k**4 + k + 0 + 0*k**3 + t*k**5 + 0*k**2. Factor n(z).
3*z**2*(z - 3)
Suppose -2 = -s + 7. Let k be (-7)/(-7)*6/s. Factor k*u**2 + 0*u + 1/3*u**3 + 0.
u**2*(u + 2)/3
Let p = -733 + 520. Let c = p + 213. Factor -8/11*f**4 - 2/11*f - 12/11*f**3 - 8/11*f**2 - 2/11*f**5 + c.
-2*f*(f + 1)**4/11
Suppose 0 = 23*i - 226 + 88. Let f(h) = -7*h + 44. Let q be f(i). Factor 0*d**3 + 0 + 2/7*d - 2/7*d**5 - 4/7*d**q + 4/7*d**4.
-2*d*(d - 1)**3*(d + 1)/7
Let i(z) be the third derivative of -3*z**5/130 - z**4/39 + 28*z**3/39 - 135*z**2. Determine q so that i(q) = 0.
-2, 14/9
Factor -6/5*i**2 + 9/5*i + 1/5*i**3 - 4/5.
(i - 4)*(i - 1)**2/5
Suppose 1 + 9 - 131*u**2 - 364*u**2 - 166*u + 481*u = 0. What is u?
-1/33, 2/3
Let k(y) be the third derivative of y**6/30 + 3*y**5/5 + 7*y**4/3 + 134*y**2. Let k(z) = 0. What is z?
-7, -2, 0
Suppose 0 = 5*s, -2 = -i + s + 2*s. Suppose 0 = -2*m - 6*m. Find j, given that m + 0*j**i + 3/7*j**3 + 0*j = 0.
0
Let h(u) be the third derivative of -17*u**5/210 - 22*u**4/21 - 5*u**3/7 - u**2 + 182*u. Suppose h(l) = 0. What is l?
-5, -3/17
Let k(y) = -y**4 - y**3 + y**2 - y + 1. Let o(h) = -5*h**5 - 41*h**4 - 147*h**3 - 195*h**2 - 48*h - 6. Let a(z) = -30*k(z) - 5*o(z). Solve a(u) = 0 for u.
-3, -2/5, 0
Suppose -c - 51 = -3*l - 173, 4*c + 45 = -l. Let d = -38 - l. Factor 1/6*v**d - 1/6*v**2 + 0 + 0*v.
v**2*(v - 1)/6
Let t = 4 + 2. Let v(y) = 6*y - 34. Let u be v(t). Find b, given that u*b**4 + 0 + 0*b + 4/3*b**3 + 2/9*b**2 + 8/9*b**5 = 0.
-1, -1/4, 0
Let w(l) be the first derivative of -1/3*l + 0*l**2 + 11 + 1/9*l**3. Find m, given that w(m) = 0.
-1, 1
Let b(m) be the first derivative of 23*m**3/6 + 11*m**2 - 2*m + 34. Factor b(y).
(y + 2)*(23*y - 2)/2
Let j be 1 - -1 - (-3 - -3). Factor -2*o + 0*o**j + 10*o - 4*o**2 + 12*o - 24.
-4*(o - 3)*(o - 2)
Let v(p) be the second derivative of 1/45*p**6 + 0*p**3 + 0 + 7*p + 0*p**5 - 1/18*p**4 + 0*p**2. Factor v(a).
2*a**2*(a - 1)*(a + 1)/3
Let a be 12/(-18) - -1 - (-7 - 32/(-6)). Determine x so that 15/2*x**2 - 13/2*x + 1/2*x**4 + a - 7/2*x**3 = 0.
1, 4
Let s(c) = 3*c**4 - 21*c**3 - 27*c**2 - 15*c - 6. Let o(n) = n**4 + n**2 - 1. Let z(j) = 6*o(j) - s(j). Factor z(k).
3*k*(k + 1)**2*(k + 5)
Let -27*z**3 - 4*z**5 + 15*z**3 + 75*z**4 + 52*z**3 - 3*z**3 + 20*z**2 + 62*z**3 = 0. Calculate z.
-1, -1/4, 0, 20
Factor -2/9*w**4 + 0 - 88/9*w - 10/3*w**3 - 32/3*w**2.
-2*w*(w + 2)**2*(w + 11)/9
Suppose 2*j + j = 0. Factor -3*z**5 + 2*z**4 + 4*z**3 + z**4 - 3*z**2 - z**3 + j*z**4.
-3*z**2*(z - 1)**2*(z + 1)
Let l(n) = -8*n**3 + 17*n**2 - 9*n - 7. Let s(o) = 4*o**3 - 9*o**2 + 5*o + 3. Suppose 0 = -4*z + 6*z - 6. Let f(u) = z*l(u) + 7*s(u). Factor f(r).
4*r*(r - 2)*(r - 1)
Let p(s) = 73*s - 1095. Let q be p(15). Factor 0 + 0*r - 3/4*r**4 + 3/4*r**2 + q*r**3.
-3*r**2*(r - 1)*(r + 1)/4
Let b = -1625/18 + 826/9. Factor -3*j - b*j**2 - 3/2.
-3*(j + 1)**2/2
Let d be 8 - (2 + -3) - 4. Let -6*j**3 - 2*j**3 + 8*j**4 - 2*j**2 - 6*j**2 + 4*j**3 + 4*j**d = 0. What is j?
-2, -1, 0, 1
Let s(v) = 16*v**2 + 16*v + 10. Let z = 4 - -2. Let t(r) = -5*r**2 - 5*r - 3. Let j(b) = z*s(b) + 20*t(b). Factor j(q).
-4*q*(q + 1)
Let i(x) be the second derivative of -x**6/30 + 11*x**5/10 - 10*x**4 - 11*x**3/3 + 121*x**2/2 + 236*x. Find t, given that i(t) = 0.
-1, 1, 11
Let r(h) = 2*h**2 + 5*h - 13. Let y(q) = -q**2 - 3*q + 6. Let w(p) = -6*r(p) - 13*y(p). Determine b so that w(b) = 0.
-9, 0
Let i(v) be the first derivative of -2*v**3/15 - v**2/5 + 12*v/5 + 16. Solve i(g) = 0.
-3, 2
Let t(g) = 4*g**2 - 101*g + 3. Let r(h) = 12*h**2 - 302*h + 10. Let y(o) = 3*r(o) - 10*t(o). Factor y(x).
-4*x*(x - 26)
Let f = 1539 + -1533. Let l(j) be the second derivative of 3/10*j**5 + 0*j**2 - 7/60*j**f - 1/8*j**4 + 0 - 1/6*j**3 - 6*j. Find z, given that l(z) = 0.
-2/7, 0, 1
Suppose 7*d - 54 = 4*d. Suppose d*p**3 - 33*p**2 + 3*p + 36*p**2 - 3*p = 0. What is p?
-1/6, 0
Suppose -2*x + 36 = -4*d - 4, -d + 46 = 3*x. Let m = -14 + x. Find q such that -1/5 - 3/5*q - 2/5*q**m + 1/5*q**5 + 2/5*q**3 + 3/5*q**4 = 0.
-1, 1
Let v(h) be the
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{
"pile_set_name": "DM Mathematics"
}
|
(42) + sqrt(42))/(sqrt(7) + ((sqrt(567) - sqrt(567)*1) + sqrt(7) - sqrt(7)))).
-9*sqrt(13)/5
Simplify (-6*-4*sqrt(140)*-1*-2)/((sqrt(252)*-1*1 - sqrt(252) - sqrt(252)) + sqrt(252) + (-1*sqrt(252) + sqrt(252))*1 + sqrt(252) + sqrt(252) + sqrt(252)).
16*sqrt(5)
Simplify (0 + sqrt(5) + 4 - (-2 + sqrt(20)/sqrt(4)))**2 + -2 - (-1*sqrt(2160))/(sqrt(3) + (sqrt(432) - sqrt(432)*-2)).
12*sqrt(5)/37 + 34
Simplify 0 + ((sqrt(153) - sqrt(153)*3*-2)/sqrt(9) - ((sqrt(17) - sqrt(68)/(sqrt(4)*-5))*4)**2) + 2.
-9742/25 + 7*sqrt(17)
Simplify (sqrt(21) + -2*(sqrt(21) - sqrt(105)/sqrt(5)) + sqrt(21) - -4*(sqrt(21) + sqrt(126)/sqrt(6)))/((sqrt(420)/(sqrt(40)/sqrt(4)))/(-1*sqrt(6)*-2)).
20*sqrt(3)
Simplify 2*((sqrt(288) + -1*sqrt(288) + 4 - sqrt(288))*-5 - (1*sqrt(288) + 5 - (sqrt(288) + -5*sqrt(288)*-2)))**2.
-18000*sqrt(2) + 130850
Simplify 0 + (sqrt(252) - 1*sqrt(252)) + -3 + sqrt(252) + ((-1 + sqrt(7))*-5 - (-3 + 1 + sqrt(7))) + -5 + 3.
2
Simplify ((5 + -2*(sqrt(475) - ((-1*sqrt(475) - sqrt(475) - sqrt(475)) + 2))*2*3)*3)**2.
-125280*sqrt(19) + 9857169
Simplify ((sqrt(468) - (-1 + sqrt(468) + 0)) + sqrt(468) + 1 + 5 + (1*sqrt(7488) + 0)*-1)**2.
-252*sqrt(13) + 4261
Simplify (((sqrt(44) - sqrt(704)*-1)/(sqrt(8)*1))/(4*-1*sqrt(648)))**2.
275/20736
Simplify 5*(sqrt(42)/sqrt(6))**2 - 5*(1 + sqrt(7) + sqrt(7))**2 - (sqrt(1008)*-1*-3 + (sqrt(1008)*1)**2*5).
-5150 - 56*sqrt(7)
Simplify 2*(-3*(-1*(sqrt(125) + -2) + 2 - (0 + sqrt(125) + -2 + sqrt(125))*5)*4)**2.
-443520*sqrt(5) + 4412448
Simplify ((-2*sqrt(91))/sqrt(7) + sqrt(468) + -4 + (-1*sqrt(1872) + sqrt(1872) - (-1*sqrt(65))/sqrt(5)))**2*-3.
-1023 + 120*sqrt(13)
Simplify (3*(((1*sqrt(65) - sqrt(65))*-4)/sqrt(5) + (sqrt(1053)*-1 + sqrt(1053))*-3))**2*1.
0
Simplify (-5 + 3 + -2 + sqrt(1584)*-2 + (1 + sqrt(1584) + -2 - sqrt(1584)))**2 + 1.
240*sqrt(11) + 6362
Simplify ((sqrt(4)/(-2*sqrt(98) + sqrt(98)))**2 - (sqrt(128) - (-3*sqrt(128))**2 - sqrt(14)/(sqrt(28)/sqrt(4))))*3.
-21*sqrt(2) + 169350/49
Simplify (-6*sqrt(119)*1 + (sqrt(119)*1 - sqrt(119))*-5)/((sqrt(42) - (1*sqrt(5082) + sqrt(5082)))/(2*sqrt(216))).
24*sqrt(17)/7
Simplify (-5*(sqrt(45) + 1 + sqrt(3645) + 5 - (1*sqrt(405) + 0 + sqrt(405) + -5)))**2.
6600*sqrt(5) + 21025
Simplify 5 + 0 + (1*sqrt(175))**2 - ((sqrt(112) + sqrt(112) + -2)*2 + -3).
-16*sqrt(7) + 187
Simplify 1*(5 + -4*(sqrt(2) + 2) + (sqrt(1458)*1)**2)*-1.
-1455 + 4*sqrt(2)
Simplify (-1*2*(sqrt(286)*1)/sqrt(11))/(-3*(sqrt(8) - sqrt(64)/sqrt(72))).
sqrt(13)/2
Simplify (-2 + (sqrt(637) + -1 + sqrt(637) - sqrt(637))*2)**2 + -1*(5 + -3*sqrt(832)).
-88*sqrt(13) + 2559
Simplify ((sqrt(99)*2*6 - (sqrt(99) + 1 + sqrt(99) + 4)) + ((sqrt(99) + sqrt(99) + 1)*4 - (2 + -1 + sqrt(99)))*-1 + 2)**2.
-108*sqrt(11) + 927
Simplify -5 + sqrt(833)*2 + -3 - ((sqrt(153) + (sqrt(153)*-1 - sqrt(153)))/sqrt(9) + (-3 + sqrt(272) - sqrt(272)))**2.
-34 + 8*sqrt(17)
Simplify (-1*(sqrt(14)/((sqrt(7) - sqrt(112))*-4) + (sqrt(24)/(sqrt(24)/sqrt(2)) - (sqrt(2) + (sqrt(2) + 1)*-6))) + 1)**2.
365*sqrt(2)/6 + 7129/72
Simplify (sqrt(68) - (-5 + -2*sqrt(68)))**2 + -2*sqrt(68)*-1 - 2*-3*sqrt(68)*2.
88*sqrt(17) + 637
Simplify (-4*((sqrt(180)*3 - sqrt(180)) + sqrt(180))/sqrt(3)*-1)/(-5*(sqrt(108)*3*6 + sqrt(108))).
-4*sqrt(5)/95
Simplify 5 + ((2*sqrt(176) - sqrt(176))*-6 - (5 + -4 + sqrt(396))**2) + -5.
-397 - 36*sqrt(11)
Simplify ((2*(-2 + sqrt(1539) - sqrt(1539)) + 1)*-6)**2 - ((-2 + sqrt(1539))*-2 - (1 + sqrt(1539) + 2))**2.
-13528 + 54*sqrt(19)
Simplify (-2*(-2 + -4 + 5 + sqrt(448) + -1 + -1*(-2 + sqrt(448)) + -1))**2.
4
Simplify (1*2*sqrt(12) + sqrt(27)*-4*5 - (2 + -1*(0 + sqrt(108)) + 1))**2.
300*sqrt(3) + 7509
Simplify (1*(2 + (sqrt(891) - (sqrt(891) + -4))) - (sqrt(1584)*-2)/((sqrt(324) + (sqrt(324) - sqrt(324)*1) + sqrt(324) - sqrt(324) - sqrt(324)) + sqrt(4)))**2.
144*sqrt(11) + 1620
Simplify ((1*sqrt(2304)*-6 + sqrt(2304))*-4)/(sqrt(12)*3*4 - (6*2*sqrt(12) - sqrt(12))).
160*sqrt(3)
Simplify (sqrt(52) + sqrt(1300))**2*6*6 + (sqrt(52)*5)**2 + (sqrt(26) - (sqrt(2106) + sqrt(26)))/sqrt(2) + 1.
-9*sqrt(13) + 68693
Simplify 2*-1*((sqrt(99)*1)**2 - sqrt(99)) + 1*((sqrt(33)/sqrt(3)*-4)**2 - -3*sqrt(44)).
-22 + 12*sqrt(11)
Simplify (sqrt(304) + -2 + sqrt(304) - (0 + sqrt(684) + sqrt(19))) + (((3*sqrt(171))/sqrt(9) - sqrt(19))**2 - (-2 + (sqrt(19)*-2)**2)).
sqrt(19)
Simplify (1*sqrt(150)*1 + sqrt(150) - (sqrt(270)*6 + sqrt(30))/sqrt(5))/(sqrt(30)/(sqrt(1440)*2) + sqrt(30)/(2*sqrt(810))).
-648*sqrt(2)/7
Simplify (((sqrt(572)*-2*-6 + sqrt(572))*-3)/((sqrt(99)*1*6 + sqrt(99))/sqrt(9)) + 3)**2.
-468*sqrt(13)/7 + 79533/49
Simplify -2 + (((sqrt(176)*-3*4)/sqrt(8))/(-2*3*sqrt(2)*1))**2.
42
Simplify (sqrt(198)/sqrt(96) + 4*sqrt(99)/sqrt(3))/(sqrt(55)/(sqrt(15)/sqrt(3)) + (sqrt(99)*2)/sqrt(9))*5 + 3.
3 + 85*sqrt(3)/12
Simplify (-5*2*sqrt(8)/(sqrt(2) + sqrt(6)/sqrt(3)))/(3*(-2*sqrt(98)*4 - sqrt(98))).
5*sqrt(2)/189
Simplify (-2*1*(2*(1 + sqrt(891)) + (sqrt(891) - (sqrt(891) + -1 + sqrt(891))*-5) + -3 - (sqrt(891)*-3 + -3 - (1*sqrt(891) + -1))))**2.
-4896*sqrt(11) + 1030060
Simplify (-1 + (-1 + sqrt(1573) - sqrt(1573)) + 1 + 1*sqrt(1573)*2 + (sqrt(1573) - 6*(sqrt(1573) + 2) - (sqrt(1573) + 1 + sqrt(1573) + sqrt(1573) + -1)))**2.
1716*sqrt(13) + 56797
Simplify 5*(-5*(-3*(1 + 2 + (-4 + (-1 + sqrt(931) - sqrt(931) - sqrt(931)) - sqrt(931))) + -1))**2.
52500*sqrt(19) + 4192625
Simplify ((6*1*sqrt(76) - (-1*sqrt(76)*-6 + sqrt(76)))*-6)/(sqrt(24)/((sqrt(90)/sqrt(5))/sqrt(3))*-5).
-6*sqrt(19)/5
Simplify ((sqrt(931) - 3*2*sqrt(931)) + 5 + -1 + sqrt(304) - (sqrt(228) + sqrt(228) + -3*sqrt(228)*1)/((sqrt(48) - sqrt(12))*-5))**2.
-1248*sqrt(19)/5 + 462784/25
Simplify -2 + -3*((2 + -1*sqrt(153) + -4)**2 + 3 + 2*sqrt(153)*3) + 3.
-479 - 90*sqrt(17)
Simplify ((5*(sqrt(720) + sqrt(720)*1*-5 + sqrt(720)) + -3 + (2*(0 + sqrt(720)) + sqrt(720) + sqrt(720) - 5*-1*sqrt(720)) + 0)*2)**2.
1728*sqrt(5) + 103716
Simplify 1*3*3*(sqrt(192)*6*-2 + -1).
-864*sqrt(3) - 9
Simplify (5 + (sqrt(931) - (sqrt(931) + 1)) + 5*(1*sqrt(931) + sqrt(931)) + sqrt(171)*-4 + (sqrt(931)*-2 - sqrt(931)))**2 + 0.
296*sqrt(19) + 26027
Simplify (-2 + (1 + sqrt(1008) + sqrt(1008) - sqrt(112)*5) + -3*(sqrt(63) - sqrt(252) - sqrt(7)) + -4)**2.
-160*sqrt(7) + 1817
Simplify -3 + -4*sqrt(208) + ((sqrt(208)*1)**2 - sqrt(208))*-6 + 5*(0 + (sqrt(208) + sqrt(208) + 2 + 5)**2).
568*sqrt(13) + 3154
Simplify (sqrt(132) + 5*sqrt(132)*1 + (sqrt(132) - -6*(sqrt(132) - (sqrt(132) + sqrt(132) + 6*sqrt(132) + sqrt(132)))))/(-1*-5*sqrt(300)*5).
-41*sqrt(11)/125
Simplify (6*(-3 + 1 + sqrt(1300)) + 5 + sqrt(1300) + sqrt(1300) + sqrt(1300) + 1 + (-1 + sqrt(1300))*-4)**2*6.
-1200*sqrt(13) + 195024
Simplify 2*(((sqrt(10)/(sqrt(2)*-2) - (sqrt(5) + 1 + sqrt(5) + -2))*6*-2 + 0 + 2)**2 + -5).
-1200*sqrt(5) + 9190
Simplify (-2 + sqrt(99))**2 + sqrt(55)/(1*sqrt(5)) + (sqrt(11)*-4*-2 - (-1 + sqrt(539))).
-10*sqrt(11) + 104
Simplify 2*(1 + ((-1*(sqrt(4608)*3 - sqrt(4608)) - ((sqrt(4608) + -2 - sqrt(4608)) + 0)) + -1)**2).
-384*sqrt(2) + 36868
Simplify ((sqrt(40)*-6 - sqrt(40)/(3*sqrt(4)))/((sqrt(720)/(-2*sqrt(12)))/(sqrt(1452) + sqrt(1452)*2)))**2.
1325192
Simplify (-3*(sqrt(152)*1 - sqrt(152)) + sqrt(152) + sqrt(152) - (2*sqrt(152) + sqrt(152) + sqrt(152) - sqrt(152))*-5)/(6*(sqrt(800) - sqrt(800)*-2)).
17*sqrt(19)/180
Simplify (0 + sqrt(832) + 4 - sqrt(65)/(sqrt(80) + (sqrt(80) - (sqrt(80) + sqrt(80)*1 + sqrt(80)))))**2 + (sqrt(130)*-3*6)/(sqrt(360)*5).
327*sqrt(13)/5 + 14413/16
Simplify -5 + (-6*(sqrt(72) + 3*sqrt(72) - sqrt(72)))/(sqrt(9)*-2*6).
-5 + 3*sqrt(2)
Simplify -1 + -3*((4 + (2*sqrt(125)*-2 - (-3*(1 + sqrt(125)) + sqrt(125))))*3)**2.
-14824 + 3780*sqrt(5)
Simplify 4 + ((sqrt(384) - (sqrt(384) + sqrt(384)*-2*5 - sqrt(384) - sqrt(384)))/(-1*sqrt(200)) + 5)**2 + 4 + 2.
-96*sqrt(3) + 7787/25
Simplify ((sqrt(570)*-2*-6)/(-2*sqrt(1210)))/(-4*(sqrt(108)/sqrt(54) - sqrt(18) - sqrt(18))/sqrt(6)).
-9*sqrt(19)/110
Simplify (0 + 3*(1*sqrt(1100) + -4 - 1*-2*sqrt(1100))*6*6)**2.
-2799360*sqrt(11) + 115660224
Simplify -5 + -6*-2*(sqrt(98) + (-5*(-2 + sqrt(98)) - sqrt(98)))**2*1*5.
-42000*sqrt(2) + 152995
Simplify (((sqrt(3024) - (sqrt(3024) - 1*sqrt(3024))) + sqrt(21))/(sqrt(243)*1) + 5*6*((sqrt(7) - (0 + sqrt(7))) + 0))**2.
1183/81
Simplify 2 + (1*-2*2*sqrt(76))/((sqrt(144)*-2 + sqrt(144) - sqrt(4)) + (sqrt(36)/(sqrt(9)*1) -
|
{
"pile_set_name": "DM Mathematics"
}
|
losest to -0.2 in -1, r, 0.4?
0.4
Suppose 0*h = -6*h + 7*h. Let y be 0/(-1) + (-4)/14. Let u = 9 + -11. Which is the nearest to h? (a) y (b) 4 (c) u
a
Let p be (4 - 12/8)*-2. Let q be 5*-2*(-2)/p. Which is the closest to -0.4? (a) 3/7 (b) -1 (c) q
b
Let c = -0.12 + -4.38. Let p = c - -4.5. Let i = -91 - -818/9. What is the nearest to 0.1 in p, i, -0.1?
p
Let o = 2 + -4. Let k = 5.82 - 0.82. Suppose 5*v - 1 = 9. Which is the closest to o? (a) k (b) 1/2 (c) v
b
Let b = 7 + -12. Let w = -1.15 + 0.05. Let k = w + 1. What is the closest to 0 in 6/5, b, k?
k
Let k be 4*(-3)/(-12)*-3. Let o = -0.21 - 4.79. What is the nearest to -1 in k, -1/4, o?
-1/4
Let g = 0.1217 + 0.4783. What is the closest to g in -1.1, 0.2, 0.3?
0.3
Let c = 58 - 57.83. What is the closest to -1 in 4, c, -2, -5?
-2
Let g be (24/108)/((-8)/1806). Let p = g - -50. What is the nearest to 2 in 0.1, 0.5, p?
0.5
Let z = -82 + 81.8. Suppose 0 = 3*w + 4*b - 10, -b + 6 = -w - 0*b. What is the closest to z in 0.1, 0.5, w?
0.1
Let j = -0.432 + -0.068. Which is the closest to j? (a) 1 (b) 1/3 (c) 4
b
Let p be 22/(-52) + 3 - (-3)/(-12). Let n = p - 40/13. Let f be ((-4)/(-4))/(0 - 1). Which is the closest to f? (a) n (b) -5 (c) -2
a
Let t = -3.28 - -1.28. What is the nearest to -0.01 in -2/7, t, -0.2?
-0.2
Let z = -75/7 - -157/14. Let k = -46 - -46.4. Which is the closest to z? (a) 43 (b) 0.3 (c) k
c
Let s be (((-16)/(-45))/8)/(7/35). Let d(m) = m - 2. Let l be d(6). What is the nearest to 0 in s, -0.3, l?
s
Let i = -179 - -179.2. Which is the closest to -0.1? (a) 0.5 (b) i (c) 2/21
c
Let q = 210 + -91. Let g = q + -122. Suppose 5*k - 4 = 21. What is the closest to 0.1 in g, 1/5, k?
1/5
Let p(c) = -3*c - 25. Let o be p(-10). Let a(r) = r**2 + 5*r - 2. Let i be a(-6). Let n = 0.9 - 0.9. What is the closest to n in i, o, -0.4?
-0.4
Suppose -2*i + 2*h = h, 3*h = -i + 14. Let g = 4.9 - 4.8. Which is the nearest to g? (a) -4 (b) 1/4 (c) i
b
Let a = -1 - -1. Let q be ((-18)/10 - (-5887)/1015) + 42/(-11). What is the closest to 10/9 in a, 0.5, q?
0.5
Let x be 3/18*3*-4. Let z(y) = y**3 + 6*y**2 + 5*y - 17. Let t be z(-4). What is the nearest to -2 in x, t, -0.5?
x
Let o = 303 + -303.1. Let t be 4/3*6/(-10). What is the closest to o in -3, t, -1?
t
Let t(m) = -m**2 - 12*m - 46. Let z be t(-10). Let q = -1 - -2. Which is the closest to q? (a) z (b) 2/9 (c) 4/5
c
Suppose 5*a = 5*y - 14 - 11, -3 = 3*a. Let q = 17 - 18.2. Let h = -2.2 - q. What is the closest to -3/2 in 0.3, h, y?
h
Suppose -12*w + 1222 - 1570 = 0. Which is the nearest to -2? (a) w (b) -2 (c) 2/11
b
Let y = -6 + -3. Let o = -2.045 - -1.945. Which is the nearest to 0.1? (a) o (b) y (c) -2/15
a
Let x be (-7)/(231/(-8))*12/(-16). Let l = -7 - -7. Which is the closest to l? (a) x (b) -1/4 (c) 3
a
Let q be -1 - (-4 + (-1 - -5)). Let f be (q/4)/(1 - 0). What is the closest to f in 0.3, 0.1, 1?
0.1
Let l = -111 + 111. What is the closest to 1 in l, -4, -6?
l
Let z = 0.5 + -1. Let h = 2833/368350 + -1/6950. Let y = 1337/1590 - h. Which is the closest to 4/5? (a) y (b) 0.1 (c) z
a
Let n(s) = s**3 - 11*s**2 + s - 5. Let m be n(11). Suppose 5*v = m*v. Suppose 2*o - 8 = -v*o. What is the nearest to -1 in 2/3, -2, o?
-2
Let v(h) = 21*h - 17. Let u be v(4). Let p = 63 - u. What is the nearest to -0.1 in -2/11, 0.3, p?
-2/11
Let l = 343/4 + -87. Which is the nearest to 0? (a) -1/6 (b) l (c) 8
a
Let b be -3 + 16/(-100)*-15. What is the closest to 0.2 in -1/5, -5, -4, b?
-1/5
Let d = 9.83 - 10. Let m = d - -0.47. Which is the nearest to 2/7? (a) -0.1 (b) m (c) 3
b
Suppose 4*f = -y - 2, 0 = f + 2*f - y + 5. Let z = 2893/15 - 193. Let p = 0.42 - 0.02. What is the closest to f in p, 5, z?
z
Suppose 0 = -12*k + 14*k - 10. Suppose -4 + 9 = k*n. Which is the closest to 4? (a) 0.2 (b) -0.2 (c) n
c
Let o = -11 - -5. Let y = 6.2 + o. Let l = 0.4 - 0.5. Which is the nearest to -2/11? (a) y (b) l (c) -1/11
b
Let i = -147 - -143. Which is the nearest to -2.3? (a) 0.5 (b) i (c) 4
b
Let g = -1256 - -1256. Which is the nearest to -0.4? (a) -1/2 (b) g (c) -0.2
a
Suppose a = -0*a + 1. Let j be (1/2*1)/a. Let d = -214 - -212. What is the closest to j in -0.2, d, -0.3?
-0.2
Let z be 33/120 - 2/5. Let x = 11.3 - 11. Let y be ((-2)/4)/((-1)/(-2)). What is the nearest to x in y, z, 0.2?
0.2
Let d = -1664 - -1668. What is the closest to 0 in 1/18, d, 1/6, 2?
1/18
Let t = -1327 - -1322. Which is the closest to -2? (a) 1/10 (b) t (c) 35 (d) -2
d
Let p(u) = u**2 + u - 3. Let a be p(-4). Suppose -25*l + 15*l + 100 = 0. Suppose 0 = -l*b + b + a. What is the closest to b in 0.1, 1, 0.5?
1
Let w = 0.02 + 1.98. Let j = 0 + w. Let p = 184/455 - 2/455. What is the closest to p in j, 2/5, 4?
2/5
Let j = -3042 - -3044. Which is the nearest to -0.8? (a) 4 (b) j (c) 0.1
c
Let j = 2053 - 2052. Which is the nearest to -1? (a) j (b) -0.5 (c) -4 (d) 0.02
b
Let t = -1912 - -1911.95. Which is the nearest to t? (a) -0.4 (b) 1/42 (c) 0.4 (d) -2
b
Let h = -3.831 + -0.169. What is the nearest to h in 3/5, 1/9, 4?
1/9
Let l be -2 - (-2 - -6 - 0). Let m = l + 7. Let o = -0.1 + 0.1. Which is the closest to m? (a) o (b) 0.1 (c) 0.4
c
Let k = -0.5 + 2.5. Let x = 2.5 - k. Suppose 6*q + 30 = -0*q. Which is the closest to 1? (a) q (b) -0.2 (c) x
c
Let h = 1.49 - 1.9. Let x = h + 0.38. Which is the nearest to 1? (a) -4 (b) x (c) 0.01
c
Let z be (-5)/(-10)*5/55*(-55)/(-10). Let m = -3 + 3.1. Which is the nearest to m? (a) 0.8 (b) -2 (c) z
c
Let f = -12829/21 - -611. What is the closest to -1 in -0.1, f, -5/2?
-0.1
Let r = 757.8 + -857. Let p = r + 99. What is the closest to 0.1 in 5, p, -5/4?
p
Let o = -290 + 290. What is the nearest to 0.1 in -2/5, -2/15, o?
o
Let z = -437/1554 + -1/222. Which is the nearest to 0? (a) z (b) 1 (c) -0.2 (d) 0.1
d
Let r = 767 + -768. What is the nearest to r in -4, 0.6, 5?
0.6
Let r = -39 - -37. Let j = 0.127 - 0.027. Which is the closest to -2/3? (a) r (b) -5 (c) j
c
Let x = 4.78 + -5. Let u = 0.12 + x. Suppose -13 = -t - 8. Which is the nearest to u? (a) -4 (b) 4 (c) t
a
Let g = 2.72 + -2.52. Which is the nearest to 1? (a) 1/6 (b) 4 (c) g
c
Let k = -11 + 11. Let n = k - -0.1. Let g = 0.14 - 0.24. What is the nearest to n in -2, g, 4?
g
Suppose -4*l + f + 12 = -0*l, 3*l = -3*f - 6. What is the nearest to 0.2 in -2, -4, l?
l
Let f = -65.5 - -66.5. Let r = 7 - 5. Which is the nearest to -0.2? (a) 1/7 (b) r (c) f
a
Let k = 1209 - 1210. Which is the nearest to k? (a) -0.2 (b) 0 (c) 3 (d) 5
a
Let s = -1.804 - -1.134. What is the nearest to 0 in -0.1, 0.5, s?
-0.1
Let n = -235 + 707/3. What is the closest to 1/4 in 2, n, -0.07?
-0.07
Let q be (-396)/1134 + (-8)/(-14). Let b = -0.23 + 0.23. What is the nearest to b in q, 4, 3?
q
Let x = -4.9964 - 0.0036. What is the closest to -1/4 in 2/3, 2/43, x?
2/43
Let k = 5.85 + -1.85. Which is the nearest to -1.03? (a) 2/5 (b) 3 (c) k
a
Let v be (1/(-4))/(14/(-8)). Let b = 798 - 796. What is the closest to -1 in v, -1/3, b?
-1/3
Let g(w) = -w**2 + 10*w - 17. Let v be g(7). Which is the closest to -1? (a) v (b) -3 (c) -0.5
c
Let j = 27/4 - 13/2. Let w be ((-43)/(-258))/((-1)/3). What is the closest to w in j, -8, 0.2?
0.2
Let j = 2 - 1.6. Let c = 845 + -844.7. What is the nearest to -5 in 3/8, j, c?
c
Suppose -f = -4*t - 9, 6*f + 3*t = 3*f + 12. What is the nearest to 2/3 in 2/5, 1/3, f?
2/5
Let d be 4/(-24)*30/(-20). What is the nearest to -4 in d, -2, 0.1?
-2
Let x = 0.3 + -0.4. Let k = -3 - -3. Let w = -224 - -224.4. What is the closest to -2/3 in k, w, x?
x
Suppose -4*l - 3 - 9 = 0, 2*q + 5*l + 7 = 0. What is the nearest to 14 in q, -0.4, 0.1?
q
Let z(v) = -v + 2. Let y be z(5). Let n = 87 - 171/2. Which is the nearest to y? (a) 0 (b) n (c) -4
c
Let h = -0.1 - -0.1. Let m = 6073/15 - 405. What is the closest to 2/5 in 2.3, m, h?
h
Let b = -261.1 - -261. Let z = -0.51 + 0.01. Let x be -1*2/14*-2. What is the closest to b in -5, z, x?
x
Let k = -14554/11 + 1326. What is the closest to -1/3 in -5, -0.5, k, 0?
-0.5
Let u(l) = -15*l + 93. Let t be u(6). Let h be 0*(3 + 8/(-3)). Which is the closest to 4? (a) h (b) 0.3 (c) t
c
Let t = -157 + 162. Which is the nearest to 2/7? (a) -2 (b) 3 (c) t (d) -7
a
Let x = 482/91 + -36
|
{
"pile_set_name": "DM Mathematics"
}
|
the n'th term of 406217, 812333, 1218447, 1624559, 2030669, 2436777?
-n**2 + 406119*n + 99
What is the o'th term of -147998, -295986, -443974, -591962, -739950, -887938?
-147988*o - 10
What is the r'th term of 93263, 186521, 279779?
93258*r + 5
What is the d'th term of 13977, 8687, 3397?
-5290*d + 19267
What is the b'th term of 985, 2088, 3311, 4654, 6117, 7700?
60*b**2 + 923*b + 2
What is the o'th term of 3572725, 7145527, 10718333, 14291143, 17863957?
2*o**2 + 3572796*o - 73
What is the m'th term of -3642, -4086, -4500, -4872, -5190, -5442, -5616?
2*m**3 + 3*m**2 - 467*m - 3180
What is the p'th term of -94403280, -94403281, -94403282, -94403283?
-p - 94403279
What is the q'th term of -1149801, -1149794, -1149777, -1149744, -1149689, -1149606, -1149489, -1149332?
q**3 - q**2 + 3*q - 1149804
What is the x'th term of 6510177, 6510177, 6510167, 6510141, 6510093?
-x**3 + x**2 + 4*x + 6510173
What is the u'th term of -174137, -348300, -522497, -696734, -871017, -1045352?
-u**3 - 11*u**2 - 174123*u - 2
What is the y'th term of -1518, 10471, 22460?
11989*y - 13507
What is the b'th term of -50755, -50837, -50957, -51133, -51383, -51725, -52177, -52757?
-3*b**3 - b**2 - 58*b - 50693
What is the s'th term of 4321, 16683, 50245, 115609, 223377, 384151, 608533?
1767*s**3 - 2*s**2 - s + 2557
What is the a'th term of -4013, -15330, -34191, -60596, -94545?
-3772*a**2 - a - 240
What is the n'th term of -258718, -258367, -257404, -255523, -252418, -247783?
51*n**3 - 6*n - 258763
What is the i'th term of -81472, -326163, -733970, -1304887, -2038908, -2936027?
i**3 - 81564*i**2 - 6*i + 97
What is the i'th term of -611943, -1223862, -1835781, -2447700, -3059619, -3671538?
-611919*i - 24
What is the l'th term of -7590, -7529, -7428, -7287, -7106?
20*l**2 + l - 7611
What is the y'th term of 9251, 9138, 8967, 8732, 8427, 8046?
-y**3 - 23*y**2 - 37*y + 9312
What is the a'th term of -15339, -15449, -15637, -15903, -16247?
-39*a**2 + 7*a - 15307
What is the f'th term of -143926, -153081, -162236, -171391, -180546, -189701?
-9155*f - 134771
What is the j'th term of -1332, -4370, -9120, -15582, -23756, -33642?
-856*j**2 - 470*j - 6
What is the w'th term of 307656, 615054, 922196, 1229082, 1535712?
-128*w**2 + 307782*w + 2
What is the z'th term of 1936, -3868, -9672, -15476, -21280, -27084?
-5804*z + 7740
What is the h'th term of 8115, 17137, 26159?
9022*h - 907
What is the r'th term of 11160, 27355, 43550, 59745, 75940?
16195*r - 5035
What is the o'th term of 49599, 64393, 89049, 123567, 167947?
4931*o**2 + o + 44667
What is the a'th term of -6876842, -27507368, -61891578, -110029472, -171921050?
-6876842*a**2
What is the a'th term of 179768973, 179768974, 179768975, 179768976, 179768977?
a + 179768972
What is the s'th term of -19483049, -38966128, -58449207, -77932286?
-19483079*s + 30
What is the j'th term of 9580, 19205, 28920, 38719, 48596, 58545, 68560?
-j**3 + 51*j**2 + 9479*j + 51
What is the z'th term of -150008226, -150008218, -150008198, -150008160, -150008098?
z**3 + z - 150008228
What is the b'th term of 292703, 585417, 878139, 1170869, 1463607, 1756353?
4*b**2 + 292702*b - 3
What is the t'th term of -4096, -9460, -16116, -24070, -33328?
-t**3 - 640*t**2 - 3437*t - 18
What is the g'th term of -1357114, -1357113, -1357112?
g - 1357115
What is the y'th term of -41111, -41169, -41279, -41435, -41631, -41861, -42119, -42399?
y**3 - 32*y**2 + 31*y - 41111
What is the c'th term of -11554, -59904, -191138, -446698, -868026, -1496564, -2373754, -3541038?
-6907*c**3 - c - 4646
What is the a'th term of 1230194, 2460381, 3690568?
1230187*a + 7
What is the p'th term of 21011272, 21011269, 21011264, 21011257, 21011248, 21011237?
-p**2 + 21011273
What is the i'th term of -3739924, -7479845, -11219766, -14959687?
-3739921*i - 3
What is the g'th term of 402063, 1608160, 3618321, 6432546, 10050835, 14473188?
402032*g**2 + g + 30
What is the y'th term of 7782578, 7782615, 7782652, 7782689?
37*y + 7782541
What is the a'th term of -278162, -278254, -278346, -278438, -278530?
-92*a - 278070
What is the u'th term of 585243, 1171874, 1758505, 2345136, 2931767?
586631*u - 1388
What is the f'th term of -1861828, -3723671, -5585514, -7447357, -9309200?
-1861843*f + 15
What is the i'th term of 839859, 839822, 839789, 839760, 839735, 839714, 839697?
2*i**2 - 43*i + 839900
What is the z'th term of 43537599, 43537597, 43537595, 43537593, 43537591?
-2*z + 43537601
What is the x'th term of -12457, -97007, -326495, -773389, -1510157?
-12078*x**3 - x**2 - x - 377
What is the n'th term of 4995, 34195, 82855, 150969, 238531, 345535, 471975?
-n**3 + 9736*n**2 - n - 4739
What is the m'th term of 6201, -327, -11205, -26433?
-2175*m**2 - 3*m + 8379
What is the f'th term of -10496206, -10496205, -10496204, -10496203, -10496202, -10496201?
f - 10496207
What is the x'th term of 1490388, 1490388, 1490390, 1490394?
x**2 - 3*x + 1490390
What is the t'th term of -7479, -7484, -7495, -7512, -7535?
-3*t**2 + 4*t - 7480
What is the q'th term of -619444, -1238919, -1858412, -2477917, -3097428, -3716939, -4336444, -4955937?
q**3 - 15*q**2 - 619437*q + 7
What is the x'th term of -275046, -270684, -266320, -261954, -257586, -253216?
x**2 + 4359*x - 279406
What is the l'th term of 8062, 31762, 71244, 126514, 197578?
l**3 + 7885*l**2 + 38*l + 138
What is the h'th term of 30609, 61531, 92453, 123375, 154297, 185219?
30922*h - 313
What is the l'th term of 5, -65, -131, -163, -131, -5?
5*l**3 - 28*l**2 - 21*l + 49
What is the t'th term of -1721, -3648, -5773, -8096?
-99*t**2 - 1630*t + 8
What is the x'th term of 44709, 181472, 409415, 728544, 1138865, 1640384, 2233107?
x**3 + 45584*x**2 + 4*x - 880
What is the s'th term of -130634, -130621, -130604, -130583, -130558, -130529, -130496?
2*s**2 + 7*s - 130643
What is the w'th term of -1509, -3117, -5827, -9663, -14649, -20809, -28167, -36747?
-4*w**3 - 527*w**2 + w - 979
What is the c'th term of -339, -310, -281, -252, -223?
29*c - 368
What is the p'th term of 169385, 337929, 506473?
168544*p + 841
What is the l'th term of 2531, 4466, 7687, 12194, 17987, 25066?
643*l**2 + 6*l + 1882
What is the t'th term of -34016, -68443, -102858, -137255, -171628, -205971, -240278?
t**3 - 34434*t + 417
What is the w'th term of 8242, 16433, 24492, 32419?
-66*w**2 + 8389*w - 81
What is the w'th term of -476719, -478121, -479523, -480925, -482327, -483729?
-1402*w - 475317
What is the z'th term of -13457, -55658, -125993, -224462?
-14067*z**2 + 610
What is the u'th term of 20517, 41703, 62889?
21186*u - 669
What is the u'th term of -16570, -14334, -10608, -5392?
745*u**2 + u - 17316
What is the w'th term of -3810881559, -3810881556, -3810881551, -3810881544, -3810881535, -3810881524, -3810881511?
w**2 - 3810881560
What is the f'th term of 2026, 8165, 18380, 32671, 51038?
2038*f**2 + 25*f - 37
What is the y'th term of -103161726, -103161727, -103161728, -103161729, -103161730?
-y - 103161725
What is the u'th term of -13511, -19462, -35601, -67022, -118819?
-849*u**3 - 8*u - 12654
What is the r'th term of -67177310, -134354623, -201531936, -268709249, -335886562?
-67177313*r + 3
What is the c'th term of -6668014, -6668015, -6668016, -6668017?
-c - 6668013
What is the p'th term of 1331812, 1331710, 1331608?
-102*p + 1331914
What is the x'th term of -53292, -106634, -159976, -213318, -266660, -320002?
-53342*x + 50
What is the x'th term of -1583, -3636, -5833, -8174, -10659?
-72*x**2 - 1837*x + 326
What is the c'th term of 2653021, 2653061, 2653101, 2653141, 2653181?
40*c + 2652981
What is the h'th term of -158680578, -158680576, -158680574, -158680572?
2*h - 158680580
What is the b'th term of -202229, -404377, -606525, -808673, -1010821, -1212969?
-202148*b - 81
What is the i'th term of 362900, 362930, 362998, 363122, 363320, 363610, 364010, 364538?
3*i**3 + i**2 + 6*i + 362890
What is the u'th term of 53042, 53158, 53274, 53390, 53506, 53622?
116*u + 52926
What is the y'th term of -646081, -1292174, -1938249, -2584306, -3230345, -3876366, -4522369?
9*y**2 - 646120*y + 30
What is the n'th term of -832, -5715, -13852, -25243?
-1627*n**2 - 2*n + 797
What is the k'th term of 1296408, 2592543, 3888678, 5184813, 6480948?
1296135*k + 273
What is the i'th term of -8046, -8765, -9966, -11655
|
{
"pile_set_name": "DM Mathematics"
}
|
-13062
Let o(h) = -1057*h - 168. Let a(p) = 1050*p + 172. Let g(m) = -6*a(m) - 7*o(m). What is the derivative of g(q) wrt q?
1099
Suppose 0 = 2*i + i - 6. Suppose -i*d + 28 - 10 = 0. Find the second derivative of -v**3 + 618*v + d*v**3 - 628*v wrt v.
48*v
Let q(t) be the first derivative of 0*t + 3/4*t**4 + 2*t**3 - 96 - 76*t**2. Find the second derivative of q(w) wrt w.
18*w + 12
Let l = 12 - 9. Let f be (-4 - 64/(-12))*(l + 0). Find the third derivative of 4*v**5 - 12*v**2 - v**2 - f*v**2 wrt v.
240*v**2
Let p(l) be the third derivative of 0*l**3 - 13/20*l**5 + 1/120*l**6 - 2/35*l**7 + 0*l**4 + 0 + 0*l + 27*l**2. Find the third derivative of p(f) wrt f.
-288*f + 6
Let n(q) = -2*q**3 - 13*q**2 - 20*q - 1. Let o be n(-2). Let v be (500/6)/((-4)/(-6)). Find the second derivative of 7*y**o + v*y + 126*y - 254*y wrt y.
42*y
Let j be 8/((-8)/(-3)) - (0 - 1). Suppose -2*f = 5*g - 25, f - 32 = -3*f - j*g. Find the third derivative of -25*t**4 - f*t**2 + 133 + 2*t**4 - 133 wrt t.
-552*t
Let a(b) be the second derivative of 163*b**6/30 - 3*b**4/4 - 27*b**3 - 259*b. Find the third derivative of a(s) wrt s.
3912*s
Let k(i) = -18*i - 1146. Let x(q) = 17*q + 1141. Let d(n) = -6*k(n) - 5*x(n). Differentiate d(j) wrt j.
23
Suppose 0 = -2*c - 8 + 16. Suppose 0 = -3*h - c*j + 97, -2*j - 79 - 65 = -4*h. What is the derivative of -112 - 13*y + 41 + h wrt y?
-13
Let c(k) = -3*k + 13 + 5*k + 8. Let d(u) = -u**2 + 2*u + 12. Let o be d(5). Let b(j) = -j - 22. Let t(r) = o*b(r) - 4*c(r). Differentiate t(i) wrt i.
-5
Suppose 5*p = -p - 558. Let f = -41 - p. What is the second derivative of -k**3 + 14*k**3 + 40*k - f*k wrt k?
78*k
Let t be 5*1 - 41/((-205)/390). Differentiate l**2 + 83 + 2*l + t*l**2 - 37*l**2 wrt l.
94*l + 2
Let u = -2025 + 2025. Let v(f) be the second derivative of 0*f**2 + u*f**3 - 21*f + 0 - 17/12*f**4 + 2/5*f**5. What is the third derivative of v(z) wrt z?
48
What is the second derivative of 2798 - 2798 + 1314*u + 678*u**4 wrt u?
8136*u**2
Let x(j) = 4*j + 7. Let i(s) = 9684*s + 9964. Let q(g) = i(g) - 9*x(g). Differentiate q(k) wrt k.
9648
What is the third derivative of -65 - 10*j + 78 - 17 + 6987*j**3 - 2*j**2 wrt j?
41922
Suppose 22*l = -0 + 88. Suppose 4*a + 8 = d, 4*d - 4*a - 10 = 10. Find the second derivative of -32*y**d + 66*y**4 + 3*y**l + 46*y wrt y.
444*y**2
Let z(y) = -33*y + 27. Let s be z(4). Let n = s - -108. Find the first derivative of -4*w**3 + 2*w**3 + 13 - w**n + 2*w**3 wrt w.
-3*w**2
Differentiate -221 - 228*w + 9 - 49 - 162 - 11 with respect to w.
-228
Let b(x) be the second derivative of 323*x**4/12 - x**3/3 - 91*x**2/2 + 4*x - 116. What is the second derivative of b(a) wrt a?
646
What is the first derivative of -350 + 2433*o + 435 - 1076 - 2508 wrt o?
2433
Let w = -38 - -39. Let k be 0 - (w - 2)/((-2)/(-6)). What is the second derivative of -15*l**3 + 0*l - 2*l**k + 2*l**3 - 3*l wrt l?
-90*l
Find the second derivative of 1709*o**2 + 27 - 4829*o + 32 + 44 - 103 wrt o.
3418
Suppose 0*v + v - 8 = 0. Suppose -v = -3*b + 25. Find the third derivative of -25*d**2 - 9*d**6 - d**6 + b*d**2 wrt d.
-1200*d**3
Let c(a) = 8727*a**4 + 295*a**2 + 9*a + 2. Let t(v) = 2909*v**4 + 98*v**2 + 3*v + 1. Let g(q) = -3*c(q) + 8*t(q). Find the third derivative of g(y) wrt y.
-69816*y
Let r(c) = 222*c**2 - 6*c - 3104. Let s(z) = 74*z**2 - 2*z - 1034. Let l(a) = -3*r(a) + 10*s(a). Find the first derivative of l(d) wrt d.
148*d - 2
Let j(d) = -28*d - 24. Let l be j(-2). Differentiate 2656*g + 40 - l*g**3 - 2656*g wrt g.
-96*g**2
Find the first derivative of -32 + 921*k**2 + 40*k - 4*k - 693 - 933*k**2 wrt k.
-24*k + 36
Let l(z) = z**2 - 37*z - 182. Let k be l(44). Differentiate -83*o**4 + 162 - k - 249 - 57*o**4 with respect to o.
-560*o**3
Differentiate 306 + 8*k**2 - 95*k**2 - 224 - 2779 - k - k**2 with respect to k.
-176*k - 1
Let j(t) = 28253*t**2 + 23*t + 19297. Let w(x) = 3532*x**2 + 3*x + 2412. Let a(v) = -3*j(v) + 23*w(v). What is the derivative of a(s) wrt s?
-7046*s
Let u = -62 - -128. Differentiate -9 - 101*b**2 - 20 - u*b**2 - 17*b**2 + 9*b**2 wrt b.
-350*b
Let f(z) = -1269*z**3 + 3091*z**2 + 8*z + 8. Let n(y) = 845*y**3 - 2061*y**2 - 5*y - 5. Let r(l) = -5*f(l) - 8*n(l). Find the third derivative of r(u) wrt u.
-2490
Let p(j) be the second derivative of -3*j**5/2 + 47*j**4/12 - 265*j**2/2 + 2081*j. Differentiate p(s) with respect to s.
-90*s**2 + 94*s
Find the third derivative of -2*y**2 - 6*y**5 - 58*y - 3709 + 2*y**5 - y**5 + 3*y**5 + 3711 - 1505*y**4 - y**3 wrt y.
-120*y**2 - 36120*y - 6
Let t be (-2614)/(-14) - (2 + (-16)/7). Let g be (-20)/(-11) - (-34)/t. What is the first derivative of 5 + 1 - 210*z**2 + 221*z**g wrt z?
22*z
Suppose 114 = 3*g - 4*d, -4*g - 114 = -7*g + 2*d. What is the derivative of -725*c**2 + 725*c**2 + 54 - g*c + 37 + c**3 wrt c?
3*c**2 - 38
Let u(p) be the first derivative of 23/3*p**3 + 13/2*p**2 - 10 + 0*p. What is the second derivative of u(j) wrt j?
46
Suppose -3*o - 7 = -6*o + 2*g, -o + 5*g = 2. Let c be 6 - ((1 - o) + 4). What is the second derivative of c*t - 42*t + 10*t**3 - 5*t wrt t?
60*t
Let o = 59 + 3. Suppose -a + o = 58. Differentiate -4 + 7*r**a - 8 + 29*r**4 - 1 with respect to r.
144*r**3
Let z(h) be the first derivative of -371*h**4 - 764*h**2 - 3325. Find the second derivative of z(m) wrt m.
-8904*m
Let o(r) be the second derivative of -121*r**7/21 - 491*r**3/3 - 8*r + 59. Find the second derivative of o(i) wrt i.
-4840*i**3
Let u(m) be the third derivative of -m**8/56 + 7*m**6/120 + 92*m**4 - 929*m**2. What is the second derivative of u(x) wrt x?
-120*x**3 + 42*x
Find the first derivative of -17335 - 16401 + 32470 - 6*j**2 - 26*j**3 - 12*j**2 wrt j.
-78*j**2 - 36*j
Find the second derivative of 6730038*d - 6730034*d - 44*d**4 + 9*d**3 - 77 - 917 wrt d.
-528*d**2 + 54*d
What is the first derivative of -6745 - 315221*z**3 + 315221*z**3 + 10125*z**4 wrt z?
40500*z**3
Let g(z) be the first derivative of 4*z**5/5 + 323*z**4/2 - 1923*z**2 + z - 1751. What is the second derivative of g(w) wrt w?
48*w**2 + 3876*w
Let o(m) be the first derivative of 37*m**4/4 + m**3 - m**2 - 79*m + 1301. Find the second derivative of o(s) wrt s.
222*s + 6
Let a(q) = -7165*q - 2118. Let t(b) = 7161*b + 2120. Let w(u) = 4*a(u) + 5*t(u). What is the derivative of w(v) wrt v?
7145
Let l(t) be the third derivative of 13*t**8/84 - 1489*t**5/30 + 906*t**2. Find the third derivative of l(p) wrt p.
3120*p**2
Suppose -2*c + 21 = 11. Find the second derivative of 135*s - 16*s**c - 4*s**5 + 22*s wrt s.
-400*s**3
Let t(j) be the third derivative of j - 16/35*j**7 - 1/4*j**5 + 0*j**6 + 0*j**4 + 0 + 1/2*j**3 - 48*j**2. What is the third derivative of t(l) wrt l?
-2304*l
Let d(z) be the second derivative of -89*z - 5/6*z**3 - 19/2*z**2 + 0 + 0*z**5 + 0*z**6 + 0*z**4 + 5/6*z**7. Find the second derivative of d(p) wrt p.
700*p**3
Let h(t) = -t**3 - 3*t**2 + 2*t + 18. Suppose 15*x - 11*x = -36. Let s be h(x). Differentiate -2*m**3 + s*m - 486*m - 5 with respect to m.
-6*m**2
Let r(j) = -j**3 - 43*j**2 + 89*j - 40. Let m be r(-45). Suppose 0 = 4*s + s - 110. Find the third derivative of 16*o**m - s*o**2 - 860*o**4 + 860*o**4 wrt o.
960*o**2
Let z(j) be the first derivative of -3715*j**4/2 - 97*j**3/3 + 8*j**2 - 2*j + 7004. Find the third derivative of z(i) wrt i.
-44580
Let g(r) be the third derivative of -6991*r**6/120 + 5*r**4/24 - 97*r**3/3 + 10856*r**2. What is the second derivative of g(z) wrt z?
-41946*z
Let n(u) = -3380*u**3 + 74*u**2 - 56*u + 17. Let q(o) = o**3 + 24*o**2 - 2*o + 2. Let r(d) = -n(d) + 3*q(d). Find the second derivative of r(t) wrt t.
20298*t - 4
Let q(d) = -4279*d**2 - 9*d + 3734. Let v(c) = -4279*c**2 - 12*c + 3726. Let m(j) = 8*q(j) - 6*v(j). Differentiate m(x) wrt x.
-17116*x
Find the third derivative of 6*p**5 + 366 + 32*p**3 - 15*p**2 - 7*p**2 + 6*p**3 + 7*p**2 + 16*p**2 wrt p.
360*p**2 + 228
Let t(y) be the second derivative of -151*y**4/6 + 29*y**3/6 + 5*y**2 + 227*y. Find the second derivative of t(z) wrt z.
-604
Suppose -6*x = -x + 20, 3*z = -6*x - 15. What is the third derivative of 38*u**5 + 16*u**3 - 16*u**z - 5 + 84*u**5 + 35*u**2 + 14*u**5 wrt u?
8160*u**2
Let y(i) be the third derivative of -5581*i**5/30 + 3181*i**3/6 - 901*i**2 + 2*i - 3. What is the derivative of y(x) wrt x?
-22324*x
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
31700000 rounded to the nearest 1000000?
-132000000
What is 85.35 rounded to the nearest 10?
90
What is 0.00003117 rounded to six dps?
0.000031
Round -3251000 to the nearest 100000.
-3300000
Round 46539000 to the nearest one million.
47000000
Round -1844000 to the nearest 100000.
-1800000
What is -0.20054 rounded to 2 decimal places?
-0.2
Round -5021200 to the nearest 100000.
-5000000
Round 1.0477 to one decimal place.
1
Round 885 to the nearest 100.
900
What is 1446 rounded to the nearest ten?
1450
What is -0.02793 rounded to two dps?
-0.03
What is -719800 rounded to the nearest one hundred thousand?
-700000
Round -0.00001935 to five dps.
-0.00002
What is -2956000 rounded to the nearest one million?
-3000000
What is 0.0007807 rounded to four dps?
0.0008
What is -0.00049445 rounded to 4 dps?
-0.0005
Round -0.001982 to 5 dps.
-0.00198
What is -126.505 rounded to the nearest ten?
-130
What is -2.79 rounded to one dp?
-2.8
What is -1.29255 rounded to one dp?
-1.3
Round -0.000003057 to seven decimal places.
-0.0000031
What is 157.28 rounded to the nearest one hundred?
200
What is -0.00011039 rounded to 5 decimal places?
-0.00011
What is 3.738 rounded to 0 dps?
4
Round 0.0000335549 to 7 decimal places.
0.0000336
What is 163770 rounded to the nearest one thousand?
164000
What is -312110 rounded to the nearest ten thousand?
-310000
What is -0.00028222 rounded to 6 decimal places?
-0.000282
Round -0.022308 to 3 decimal places.
-0.022
What is 36.85 rounded to the nearest integer?
37
Round -59.091 to the nearest 10.
-60
Round 0.0034576 to four decimal places.
0.0035
Round 8100 to the nearest one hundred thousand.
0
What is -0.0001156 rounded to six dps?
-0.000116
Round 134450 to the nearest 1000.
134000
What is -24.459 rounded to the nearest ten?
-20
Round -580800 to the nearest ten thousand.
-580000
What is -0.000005835 rounded to 6 decimal places?
-0.000006
Round -0.016266 to 4 decimal places.
-0.0163
What is -117011000 rounded to the nearest 100000?
-117000000
What is -0.00002 rounded to six decimal places?
-0.00002
What is 12940 rounded to the nearest one thousand?
13000
What is 0.001442 rounded to 3 decimal places?
0.001
Round 670 to the nearest ten.
670
Round 365.33 to zero decimal places.
365
What is 228.759 rounded to the nearest ten?
230
What is -0.0135874 rounded to 5 decimal places?
-0.01359
Round 0.000000166 to 7 dps.
0.0000002
Round -29360 to the nearest ten thousand.
-30000
What is 0.052718 rounded to 4 dps?
0.0527
Round -0.00000231217 to 7 dps.
-0.0000023
Round 0.0889 to one decimal place.
0.1
Round -0.020599 to four decimal places.
-0.0206
Round 0.00000043359 to 7 dps.
0.0000004
What is -944 rounded to the nearest 1000?
-1000
Round -0.007518 to three dps.
-0.008
Round -12110 to the nearest 1000.
-12000
Round -0.96198 to 1 dp.
-1
Round 572.9 to the nearest one hundred.
600
Round -1600.1 to the nearest 100.
-1600
What is -0.0164 rounded to three decimal places?
-0.016
What is -63533000 rounded to the nearest 1000000?
-64000000
Round -0.06953 to 3 dps.
-0.07
Round 38.5306 to the nearest integer.
39
What is 4893600 rounded to the nearest one hundred thousand?
4900000
What is 3.17 rounded to one decimal place?
3.2
What is 0.0037273 rounded to five decimal places?
0.00373
What is -8009000 rounded to the nearest 100000?
-8000000
Round 49000 to the nearest 10000.
50000
Round -0.0000004722 to 7 dps.
-0.0000005
Round 0.003425 to four decimal places.
0.0034
What is 0.000083179 rounded to five decimal places?
0.00008
What is -0.0000362 rounded to 5 decimal places?
-0.00004
Round -12705 to the nearest 100.
-12700
Round -86270000 to the nearest one million.
-86000000
What is 120822 rounded to the nearest 100000?
100000
Round 50.3 to the nearest integer.
50
Round 0.04778 to 2 decimal places.
0.05
What is 0.01345 rounded to 3 dps?
0.013
Round -4620 to the nearest one hundred.
-4600
What is 2.627 rounded to the nearest integer?
3
Round -3502.9 to the nearest 10.
-3500
Round -0.00003094 to six decimal places.
-0.000031
What is 1303 rounded to the nearest one hundred?
1300
Round 49924000 to the nearest one million.
50000000
What is 2000.3 rounded to the nearest 10?
2000
What is -515 rounded to the nearest one hundred?
-500
Round 0.005425 to 3 dps.
0.005
What is 0.000050534 rounded to five dps?
0.00005
Round 24.425 to 1 decimal place.
24.4
What is 2620210 rounded to the nearest ten thousand?
2620000
Round 0.00000138302 to 7 dps.
0.0000014
Round 0.000001446 to 7 decimal places.
0.0000014
Round 0.0003905 to four decimal places.
0.0004
What is 1263.8 rounded to the nearest ten?
1260
What is 0.007265 rounded to 3 dps?
0.007
Round -4037830 to the nearest one hundred thousand.
-4000000
Round -0.00172 to three dps.
-0.002
What is 0.136485 rounded to two decimal places?
0.14
Round -0.08287 to two decimal places.
-0.08
What is -550 rounded to the nearest one hundred?
-600
Round 8318 to the nearest one thousand.
8000
What is 0.12608 rounded to 2 decimal places?
0.13
What is 45095000 rounded to the nearest one hundred thousand?
45100000
Round -0.000018866 to 6 dps.
-0.000019
Round -0.0000878 to 5 decimal places.
-0.00009
What is -3210 rounded to the nearest 1000?
-3000
Round 0.0031162 to five decimal places.
0.00312
Round 55.45 to the nearest integer.
55
Round -0.0002496 to four decimal places.
-0.0002
What is 0.33719 rounded to two decimal places?
0.34
What is -0.00000099347 rounded to seven dps?
-0.000001
Round -0.00009959 to five decimal places.
-0.0001
What is -0.00000000286 rounded to 7 dps?
0
Round 22.158 to 1 dp.
22.2
What is 0.0041065 rounded to five dps?
0.00411
What is 0.00000317 rounded to seven dps?
0.0000032
What is 0.0000916 rounded to 6 decimal places?
0.000092
What is 0.000424 rounded to 4 dps?
0.0004
Round 0.000001688 to seven dps.
0.0000017
Round -91.29 to zero dps.
-91
What is 504.63 rounded to the nearest ten?
500
What is 1062610 rounded to the nearest one hundred thousand?
1100000
Round -19.096 to the nearest 10.
-20
Round 716.64 to the nearest integer.
717
Round -3214800 to the nearest one million.
-3000000
What is 0.00004328 rounded to six decimal places?
0.000043
What is 0.0000002599 rounded to 6 decimal places?
0
What is -0.00003171 rounded to six decimal places?
-0.000032
Round -33718000 to the nearest 100000.
-33700000
What is 0.005278 rounded to 3 decimal places?
0.005
Round -3165.72 to the nearest ten.
-3170
What is 4274000 rounded to the nearest 100000?
4300000
Round 50530000 to the nearest 1000000.
51000000
What is 7720 rounded to the nearest 1000?
8000
Round 180790 to the nearest 1000.
181000
What is -285550 rounded to the nearest 1000?
-286000
What is 20057000 rounded to the nearest 100000?
20100000
Round 0.0100448 to four decimal places.
0.01
Round -2843 to the nearest one hundred.
-2800
Round -7607000 to the nearest 100000.
-7600000
Round -1.22554 to 3 decimal places.
-1.226
What is -9.141 rounded to 1 dp?
-9.1
Round 0.018378 to three dps.
0.018
What is 1.9127 rounded to 1 dp?
1.9
Round 0.000010142 to 7 dps.
0.0000101
What is -0.0366 rounded to two decimal places?
-0.04
What is 637.3 rounded to the nearest one hundred?
600
What is -43314000 rounded to the nearest 1000000?
-43000000
Round -678.3 to the nearest one hundred.
-700
Round 22405 to the nearest 1000.
22000
What is -237750000 rounded to the nearest 1000000?
-238000000
What is 0.00109754 rounded to four decimal places?
0.0011
What is -0.0006086 rounded to 4 decimal places?
-0.0006
What is -1.836 rounded to two dps?
-1.84
What is 96.461 rounded to the nearest integer?
96
What is 2.26 rounded to zero decimal places?
2
Round -0.000256815 to five dps.
-0.00026
Round 1.58 to one decimal place.
1.6
What is 61.8158 rounded to the nearest 10?
60
What is -30.57 rounded to the nearest integer?
-31
Round 1806000 to the nearest 100000.
1800000
What is -204.82 rounded to the nearest 10?
-200
Round -1326400 to the nearest one hundred thousand.
-1300000
Round 3415000 to the nearest 1000000.
3000000
What is 0.00081411 rounded to 6 decimal places?
0.000814
Round 1.07534 to 2 dps.
1.08
What is 27248.4 rounded to the nearest 1000?
27000
What is -0.424 rounded to 1 dp?
-0.4
Round -0.0000012895 to 7 dps.
-0.0000013
What is -0.0000101288 rounded to six dps?
-0.00001
Round -0.0000004005 to seve
|
{
"pile_set_name": "DM Mathematics"
}
|
8*w**2 - 5*w**3 - 9 - y*w**3.
4*(w - 1)**3*(w + 1)*(w + 4)
Suppose -2/11*x**5 + 0 - 14/11*x + 16/11*x**3 - 12/11*x**2 + 12/11*x**4 = 0. Calculate x.
-1, 0, 1, 7
Solve 1083/4 - 57/2*i + 3/4*i**2 = 0.
19
Let p(s) be the second derivative of -s**7/280 + s**6/120 + s**5/10 - s**4/2 - 31*s**3/6 - 14*s. Let v(l) be the second derivative of p(l). Factor v(i).
-3*(i - 2)*(i - 1)*(i + 2)
Determine v so that 18 + 3*v**4 - v**3 - 29*v**2 + 949*v + 937*v + 941*v - 2818*v = 0.
-3, -2/3, 1, 3
Factor 54*n - 285*n**2 + 282*n**2 - 900 + 158*n + 97*n.
-3*(n - 100)*(n - 3)
Let r(w) be the first derivative of 0*w - 20/3*w**3 + 8*w**2 + 52 + w**4. Factor r(y).
4*y*(y - 4)*(y - 1)
Let z(m) be the second derivative of -60*m - 1/20*m**4 + m**3 + 33/10*m**2 + 0. Factor z(u).
-3*(u - 11)*(u + 1)/5
Let n(s) be the first derivative of -2*s**3/3 + 3*s**2 + 20*s - 467. Suppose n(a) = 0. Calculate a.
-2, 5
Let w be 3*-1*(-2)/6. Let n = 251947 + -503893/2. Let -1/4*h**3 + 7/4*h + w + n*h**2 = 0. What is h?
-1, 4
Let p(o) be the second derivative of -o**4/42 - 10*o**3/21 - 9*o**2/7 - 225*o + 3. Factor p(q).
-2*(q + 1)*(q + 9)/7
Let r(s) = 2888*s - 199272. Let k be r(69). Factor 0*q + 1/2*q**3 + 21*q**2 + k.
q**2*(q + 42)/2
Let x = -73 + 81. Suppose -3*v = -6*v + 5*n + 29, 5*n = -4*v - x. Factor -1 + 8*r + 13*r**3 - 30*r**v - 6*r**2 - 25*r**4 - 23*r**3.
-(r + 1)**2*(5*r - 1)**2
Let i(p) be the first derivative of 20 + 1/60*p**5 - 1/12*p**4 + 1/9*p**3 + 0*p**2 + 7*p. Let j(t) be the first derivative of i(t). Find u such that j(u) = 0.
0, 1, 2
Suppose 0 = 9*t + 52 - 547. Suppose 0 = -4*k + t - 47. Solve -2*f**4 - 5*f**2 - 3*f**2 + 2*f**2 - 8*f**3 - 2*f**k = 0.
-2, 0
Let x(c) = -4*c - c + 6*c + 23. Let s be x(-19). Factor -16*t**2 - s + 10*t**2 + 4*t**2 + 6*t.
-2*(t - 2)*(t - 1)
Let k be 5100/(-680) - (-16)/2. Let r(d) be the first derivative of k*d**3 + 6*d + 9 - 15/4*d**2. Solve r(o) = 0.
1, 4
Let g(k) = -k**3 + 8*k**2 + 42*k - 37. Let y be g(10). Let p = -4203/23 + y. Solve 2/23*q**2 + p - 8/23*q = 0.
1, 3
Suppose 17*n = 251 - 200. Let i(c) be the first derivative of -9 - 15/4*c - 5/4*c**2 + 5/12*c**n. Factor i(s).
5*(s - 3)*(s + 1)/4
Let i = 1/479 - -953/2395. Suppose -3 = -5*h + 4*h. Factor 0 + 4/5*b**2 + i*b**5 + 0*b**4 + 0*b - 6/5*b**h.
2*b**2*(b - 1)**2*(b + 2)/5
Suppose 124 = 2*p + 3*y, -151 = -4*p + 5*y + 97. Let p - 19*k + k**3 - 9 - 3 - 20 = 0. Calculate k.
-5, 2, 3
Suppose 4*r = l - 0*r + 5, 3*l + 2*r = 27. Let s be l/(294/9)*(0 - -2). Factor s*y**3 + 18/7 + 33/7*y + 18/7*y**2.
3*(y + 1)*(y + 2)*(y + 3)/7
Suppose -1 = 3*k + 14, -2*k = -f + 14. Suppose f*t + 57 = 3*o, 0 = -2*o - 3*o + 5*t + 90. Factor -45*a**2 + 7 + 25*a**3 - 7 + 2 + o*a + 3.
5*(a - 1)**2*(5*a + 1)
Let v(q) be the first derivative of 0*q**4 - 12*q - 12 + 1/20*q**5 + 0*q**2 + 0*q**3 + 1/30*q**6. Let b(l) be the first derivative of v(l). Factor b(n).
n**3*(n + 1)
Determine o so that 932/7 - 934/7*o + 2/7*o**2 = 0.
1, 466
Suppose -4*l + 31 = 5*w, -2*w = -4*l + l + 6. Suppose 4*k - 8 = w*g, -18 + 12 = -3*k - g. Factor -1/10*x**k + 1/10 + 0*x.
-(x - 1)*(x + 1)/10
Let g be 7176/4140*(-15)/(-39). Factor 16/3*i**2 - g*i**3 + 0*i + 0.
-2*i**2*(i - 8)/3
Let h be 4/(-18) - 4325/(-225). Suppose -m + 1 = 0, 100*l - m = 99*l. Factor h*b**3 + 16*b**5 + 11*b + l - 52*b**4 + 145/4*b**2.
(b - 2)**2*(4*b + 1)**3/4
Let w be ((-15)/(-30))/(5/(-70)). Let x(b) = 6*b**2. Let a(l) be the first derivative of 19*l**3/3 - l**2/2 + 1. Let k(u) = w*x(u) + 2*a(u). Solve k(q) = 0.
-1/2, 0
Let m be ((-54)/9)/6 + 4. Suppose 11*b - 16 = m*b. Determine p so that 8/9*p - 2/9*p**3 + 0*p**b + 0 = 0.
-2, 0, 2
Let c(a) = -a**2 - 47*a - 819. Let o(f) = -f**2 - 23*f + 1. Let v(k) = c(k) + 3*o(k). Suppose v(g) = 0. Calculate g.
-17, -12
Let v(g) = g**3 - 12*g**2 + 9*g + 25. Let w be v(11). Solve 0*b**w + 16*b + 56*b**4 - 8 - 2*b**2 - 14*b**3 - 2*b**5 - 46*b**4 = 0 for b.
-1, 1, 2
Let j(w) be the first derivative of w**4/14 - 16*w**3/21 + 5*w**2/7 + 35*w - 65. Let b(p) be the first derivative of j(p). Factor b(n).
2*(n - 5)*(3*n - 1)/7
Let z = -583423/9 + 64825. Factor -z*x**3 - 2/9 - 2/3*x**2 - 2/3*x.
-2*(x + 1)**3/9
Let l = 4249/1760 - 5/352. Suppose 3*t = -2*u, -t - 3*u = -6 + 13. Factor 3*y - l - 3/5*y**t.
-3*(y - 4)*(y - 1)/5
Let a(g) = 5*g**2 - 5*g + 2. Let q = -2292 + 2292. Let b be a(q). Find y such that -1/2*y**b - 225/2 + 15*y = 0.
15
Let k(h) be the third derivative of h**6/200 - 3*h**5/25 - 13*h**4/40 + 1124*h**2. Solve k(q) = 0 for q.
-1, 0, 13
Let r = -567081 + 1701253/3. Factor 0 - r*b - 2/3*b**2.
-2*b*(b + 5)/3
Let y(u) be the second derivative of 0*u**3 - 22*u + 0*u**2 - 1/51*u**4 + 3/170*u**5 - 1/255*u**6 + 0. Suppose y(c) = 0. Calculate c.
0, 1, 2
Let p(r) be the second derivative of r**9/3024 - r**8/560 - r**3/3 - 53*r**2/2 - 58*r - 1. Let o(g) be the second derivative of p(g). Factor o(u).
u**4*(u - 3)
Let s be ((-84)/(-8))/(210/480). Factor -2/3*t**2 + 70/3*t + s.
-2*(t - 36)*(t + 1)/3
Let u = 551422/3 + -183807. Determine t so that 0*t - u*t**4 + 0*t**2 + 0 - t**3 = 0.
-3, 0
Let h(c) be the first derivative of 33 - 2/3*c**6 - 115*c**4 - 416*c**2 + 76/5*c**5 + 964/3*c**3 + 256*c. Factor h(r).
-4*(r - 8)**2*(r - 1)**3
Let t be 2/(-4 + 0)*(-160)/120. Factor -2/9*r**3 + t*r + 4/9 + 0*r**2.
-2*(r - 2)*(r + 1)**2/9
Let u be ((-96)/(-720) + 2/(-15))/(0 - -3). Let x(z) be the third derivative of 0*z**5 + 1/15*z**3 + u + 0*z - 1/600*z**6 + 1/40*z**4 + 23*z**2. Factor x(v).
-(v - 2)*(v + 1)**2/5
Let r = 30 - 49. Let s = r + 21. Factor -5*p + 9*p**3 + 10*p**s - 5 - 4*p**3 - 5.
5*(p - 1)*(p + 1)*(p + 2)
Let k(q) be the third derivative of -383161*q**6/24 + 619*q**5/6 - 5*q**4/24 + 5*q**2 - 6*q + 22. Factor k(y).
-5*y*(619*y - 1)**2
Let q(l) be the first derivative of l**6/57 - 4*l**5/95 - 11*l**4/38 + 8*l**3/57 + 28*l**2/19 + 32*l/19 - 1126. Determine p so that q(p) = 0.
-2, -1, 2, 4
Factor d**5 - 43083*d - 206*d**3 - 140*d**4 + 43083*d - 77*d**3 - 142*d**2.
d**2*(d - 142)*(d + 1)**2
Let x(d) be the second derivative of d**5/20 - 2*d**4/3 - 5*d**3/2 + 27*d**2 - 275*d - 2. Factor x(b).
(b - 9)*(b - 2)*(b + 3)
Let j(q) be the first derivative of 1/9*q**3 - 1/12*q**4 + 1/3*q**2 + 87 + 0*q. Solve j(m) = 0 for m.
-1, 0, 2
Let f(d) be the first derivative of -d**4/2 + 30*d**3 - 167*d**2 + 246*d + 2110. Factor f(k).
-2*(k - 41)*(k - 3)*(k - 1)
Let 0 - 5*l**3 + 505/2*l**2 - 1645/2*l = 0. Calculate l.
0, 7/2, 47
Let k(g) = 4*g**2 + 61*g + 102. Let s be k(-13). Let x be 132/s + (-100)/(-10). Solve -3/5*q**3 + 0 + x*q - 3/5*q**2 = 0.
-2, 0, 1
Find q such that -12*q**3 - 6*q**4 + 96 + 19*q**2 - 204*q + 98*q**2 + 3*q**4 + 6*q**3 = 0.
-8, 1, 4
Suppose -g - 5*x = -4, 4*g = -2*x + 5*x + 16. Let q be 7 + -7 - g*12/(-16). Find f, given that 0*f - 3/7*f**4 - 9/7*f**q + 0 - 6/7*f**2 = 0.
-2, -1, 0
Let z(f) = -24*f - 94. Let b be z(-4). Let 26 - 25*g + 68*g**2 - 18*g**b - 28*g**2 - 23*g**2 = 0. Calculate g.
-26, 1
Let t(a) = 186*a**3 - 44*a**2 + 178*a - 204. Let n(j) = 16*j**3 - j**2 - 2. Let l(d) = 12*n(d) - t(d). Factor l(y).
2*(y - 2)*(y + 9)*(3*y - 5)
Let i be 0 + 10 + -8*(-36)/(-48). Suppose -4*w - 16 = 0, -c = -5*c + i*w + 28. Factor 2/3 + 2/9*z**c + 14/9*z + 10/9*z**2.
2*(z + 1)**2*(z + 3)/9
Let x(r) be the second derivative of -r**7/1050 - 11*r**6/900 - r**5/60 + 31*r**3/6 - 2*r - 18. Let v(t) be the second derivative of x(t). Factor v(m).
-2*m*(m + 5)*(2*m + 1)/5
Let i(p) be the first derivative of 3*p**4/20 - 29*p**3/5 + 336*p**2/5 - 204*p + 6133. Factor i(l).
3*(l - 17)*(l - 10)*(l - 2)/5
Suppose -g = 3 - 5. Determine a, given that 2*a**3 + 8*a**2 - 7*a**2 - a**g - 2*a = 0.
-1, 0, 1
Suppose -13*h + 15 = -8*h, -2*h - 14 = -4*x. Find s, given that 11*s + s - x*s - 3*s**2 - 3 - 7*s + 6*s = 0.
1
Suppose 0 = 15*y - 9*y + 48. Let n be (9 + y)*(-3 + 5). Factor -16/7*u + 32/7 + 2/7*u**n.
2*(u - 4)**2/7
Let j(d) be the first derivative of d**6/21 + 54*d**5/35 + 97*d**4/14 + 78*d**3/7 + 46*d**2/7 + 293. Determine o, given that j(o) = 0.
-23, -2, -1, 0
Factor 19 - 310*l**2 + 154162*l - 154008*l - 2*l**4 + 158*l**3 - 19.
-2*l*(l - 77)*(l - 1)**2
Let l(d) = 7*d**2 - 5*d - 2. Let y(c) = 24*c - 5 - 34*c**2 + 12 + 3. Let a be 42/((-5)/30*-9). Let i(t) = a*l(t) + 6*y(t). Factor i(o).
-4*(o - 1)*(2*o + 1)
Suppose 4*u = 58 - 46. Factor 14*f**3 - 5*f**4 - f**
|
{
"pile_set_name": "DM Mathematics"
}
|
alue? (a) y (b) -5 (c) x
c
Let f = 23 + -50. Let x = 107/4 + f. Suppose -5*z - 3*p - 3 = 3, -4 = -2*z + 2*p. Which is the second biggest value? (a) x (b) -4 (c) z
a
Let l = 40 + -40.012. Let p = l - 0.488. Let v = -0.7 - 3.3. Which is the smallest value? (a) -5 (b) v (c) p
a
Let p = -0.345 + 0.015. Let t = -0.83 - p. Let j = 0.5 + -0.3. Which is the biggest value? (a) -4 (b) t (c) j
c
Let y = -467/745 - -4/149. Which is the second biggest value? (a) -0.5 (b) y (c) 9
a
Let v = 16.8 + -19. Let d = -2.7 - v. What is the second biggest value in d, -1, -5?
-1
Let t(a) = a**2 + 12*a - 45. Let j be t(-15). Let v(d) = -d**3 + d**2 + 1. Let u be v(j). What is the biggest value in -2/3, 0, u, 0.2?
u
Let j(p) = -3*p - 15. Let q be j(-8). Let m be (q/(-27))/((-2)/(-30)). Which is the third smallest value? (a) m (b) -1 (c) -0.1 (d) -2
b
Suppose 4*c + 5*f = -15, 5 = 4*f + f. Let d be ((-1)/(-3))/(16/(-6)). Let z = 188 - 2442/13. What is the third smallest value in z, c, d?
z
Let h be (2/26 - 0)*-2. Suppose 61*i - 121 = -365. Which is the smallest value? (a) 1.1 (b) i (c) h
b
Let g be (-2)/8 + (-18)/(-48). Let c be 1/((18/1209)/(-2)). Let j = -133 - c. What is the third smallest value in j, -0.5, g?
j
Let c = 5 + -8. Let b = 10 + -10.4. Suppose 64 = 9*t + 82. What is the third biggest value in t, c, b?
c
Suppose -v + 5 = 9. Suppose -4*z + q + 41 = -7, 24 = 2*z + 2*q. Let h be v/6*z/(-100). What is the second smallest value in h, -0.4, 5?
h
Let s = 3.9 + -4.1. Which is the third biggest value? (a) s (b) 0 (c) -1/6 (d) -3
a
Let d = -13.05 - -13. Let a = -0.05 + d. Let x = 5 + -7. What is the second biggest value in 0.01, a, x?
a
Let l(x) = 4*x + 2. Let m be l(6). Let g = m + -53. Let p be g/20 - (-3)/5. Which is the third smallest value? (a) 1/5 (b) p (c) 3
c
Let i = -342/5 + 68. What is the second smallest value in 0.15, i, -1/3, 0.5?
-1/3
Let l = 3.7 + 0.3. Let t = 4.33 + -4.53. Let q = -11.5 + 12. Which is the biggest value? (a) l (b) q (c) t
a
Let w = 1/94 - 25/141. Let s be 84/39 + 0 + -3 + 1. Which is the second biggest value? (a) 3.6 (b) s (c) w
b
Suppose -p + 1 = 3*y, 3 + 19 = -4*p + y. Let f(o) = 3*o - 3. Let i be f(3). Which is the second biggest value? (a) i (b) 1 (c) p (d) 0.1
b
Let v = -20.1 - -19.23. Let n = v + 0.27. Which is the second biggest value? (a) 2/5 (b) n (c) -2/9
c
Suppose -95*i + 128 = -62. What is the smallest value in i, 16, -1/3?
-1/3
Let x = -563 - -563.2. Which is the smallest value? (a) 0.1 (b) 29 (c) x
a
Let t = -5.35 + -0.35. Let w = 6 + t. Suppose 0*d = 2*d - 8. Which is the second smallest value? (a) -1 (b) w (c) d
b
Let i = 1.39 - 1.39. Which is the second biggest value? (a) -2/91 (b) -5 (c) i
a
Let r be 8/(-52) - (-196)/260. Let t = 0.2 + -1.2. Which is the third biggest value? (a) -0.04 (b) r (c) t
c
Let m = -1 - -0.9. Let l = 6 + -11. Let h = 0.673 - 0.173. What is the third smallest value in m, l, h?
h
Let m = -38 - -38. Let v be -1 - 1 - -3 - m. Which is the second smallest value? (a) 2/3 (b) v (c) 2
b
Let y = -15 - -15. Let w = 34.4 + -34.5. What is the second biggest value in -3, y, w?
w
Let k = 11/3 + -4. Which is the third biggest value? (a) k (b) -2/11 (c) -2
c
Let d = 440 + -3083/7. Let v be (-4)/(-14) - 22/(-21). What is the second biggest value in d, 0.09, v?
0.09
Let y = 6 + -6.3. Let t = 4396 + -4396. Let h = -2 - -3. Which is the third biggest value? (a) y (b) h (c) t
a
Let j(o) = o**3 + 2*o**2 - 2*o - 2. Let z be j(-2). Let v = -185 - -185.5. Let k = -14 - -10. Which is the second smallest value? (a) v (b) z (c) k
a
Let l = -608 - -607.98. Let o = 0.66 + -0.16. What is the third biggest value in 1, l, o?
l
Let s = -19.69 - 0.31. Let i = s - -22. Let f = 3 + -2. Which is the biggest value? (a) i (b) -0.1 (c) f
a
Let g = 0.32 + -0.02. Let s = 0.4672 - 0.9672. What is the third biggest value in g, 1/21, s?
s
Let x be 0 + (-2 - 1276/(-530)). Let n = x - 2/265. Let q = 0.5839 + -0.8839. Which is the second smallest value? (a) n (b) q (c) -4
b
Let v = -880.95 - -881. Which is the second biggest value? (a) v (b) 0.5 (c) 0.4 (d) 7
b
Let g = -399/5050 - -10/101. Let a = g - -87/650. Let k = -0.3 - -0.2. What is the second biggest value in a, 1, k?
a
Let h = -0.5 + 5.5. Let d be ((-21)/(-14))/((-6)/16). Let j be (5/6)/(20/16). What is the smallest value in h, j, d?
d
Let w = 0.46 + -0.06. Let y = 0.6 - w. Let p be ((-33)/(-88))/(2/(-4)*1). Which is the biggest value? (a) 1 (b) p (c) y
a
Let v = 924 - 925. Which is the third biggest value? (a) v (b) 12 (c) -4
c
Let g be (-4)/52*(2 - 43) + -3. What is the second smallest value in 3, g, -15?
g
Let t(d) = -d**2 - 6*d - 5. Let p be t(-4). Let r = 9 + -5. Let w = -1.25 - -0.25. What is the third biggest value in w, p, r?
w
Let g be (-18)/12*8/(-3). Let u be (-6)/12*(2 - g). What is the third smallest value in -8, 3, -2/11, u?
u
Let w(x) = -x**2 + 3*x + 23. Let n be w(6). What is the third biggest value in n, -0.1, 0.4, -6?
-0.1
Let k = -187 + 186.9. Let c = 5.3 + -5. What is the second smallest value in c, 0.1, -11, k?
k
Let n = -1/5 - -8/15. Let i = -1.5 + 1. Suppose 0 = 4*x - 5*x. What is the smallest value in x, i, n?
i
Let q = -0.7 - 0.3. Let x(k) = -2*k**3 + 18*k**2 + 20*k - 3. Let m be x(10). Which is the second biggest value? (a) -0.5 (b) m (c) q
c
Let s = 15 + -14.5. Let g = -0.12 + -4.88. Let r = -36.1 - -36. Which is the third smallest value? (a) g (b) r (c) s
c
Let q = -579 + 576. What is the third smallest value in -91, 4, q?
4
Let t = 408 - 411. Which is the second smallest value? (a) -11 (b) 1/11 (c) t
c
Let p(m) = -m**3 - 11*m**2 - 28*m - 8. Let f be p(-8). Let y be 3/(-12) - (-6)/f. Let a = -9/74 - 13/1110. What is the smallest value in y, a, 0.1?
a
Suppose -2*d + 6 = -2, 3*v + 5*d = 29. Let w = v - -2. Let m = -1.5 - -2.5. Which is the third biggest value? (a) w (b) m (c) 4
b
Suppose 0 = 3*q - 6*q + 3*v + 3, q + 2*v = 10. Which is the biggest value? (a) q (b) -5 (c) -21
a
Let y = -0.67 - -0.11. Let o = y - -0.76. Let h be (5/(-2) - -1)*-2. What is the second smallest value in -0.5, h, o?
o
Let p = 1 - 0. Let w be (-3)/(-21) - -4*2/(-28). Which is the biggest value? (a) p (b) w (c) 4/5
a
Let x be (2/(-4) + 2)/3. Let o = 0.929 + -0.629. Which is the third biggest value? (a) o (b) -1 (c) x
b
Let i = -1.03 + 47.03. Let r = i - 43. Which is the third biggest value? (a) -7 (b) 1 (c) r (d) 4/9
d
Let u = 0 + 19. Let f = 32 - u. Suppose 0 = 2*s - f + 3. Which is the second smallest value? (a) 2 (b) s (c) 0.2
a
Let r = 131.26 - 131. Let k = 3 - 2.94. Let d = k - r. Which is the biggest value? (a) d (b) -0.3 (c) 0.5
c
Let c = 1401 + -1401. What is the second biggest value in 0.3, c, -47?
c
Suppose 3*g - 2 = g. Let w(a) = -a**3 + 9*a**2 - 6*a - 2. Let v be w(8). Let q be 24/v + (-18)/(-63). What is the smallest value in 0.3, q, g?
0.3
Let h be 3*2*35/(-42). Which is the fourth smallest value? (a) -11 (b) 6 (c) -0.4 (d) h
b
Let l(f) = 64*f - 250. Let z be l(4). What is the second smallest value in 4, z, -2/9, -3/4?
-2/9
Let y = -359/1494 - -3/166. What is the third smallest value in -4, 6/5, y, -5?
y
Let j = 87/7 - 13. Which is the smallest value? (a) j (b) 0 (c) -231
c
Let u = -1345 - -1347. Which is the second smallest value? (a) u (b) 1 (c) -83
b
Let v = -1/173 + 359/2249. Let l = -16 + -102. Let x = 118.2 + l. What is the smallest value in v, -3/7, x?
-3/7
Suppose 0*i - 10*i - 40 = 0. What is the second smallest value in i, -3, 2?
-3
Let s = 0.31 + -0.17. Let m = -75 - -73.86. Let c = m + s. What is the second smallest value in c, 1, -0.2?
-0.2
Suppose 18*k + 40 = 13*k + 5*t, 0 = -4*k - 5*t + 22. Let m be (16/(-18))/1 - -1. What is the third biggest value in m, 2/5, k?
k
Let f = -22 - -12. Let o = 10.51 + -0.01. Let n = f + o. Which is the third smallest value? (a) -3/7 (b) n (c) 2
c
Let m = -229/5 - -46. Let l = 5508/19 + -290. What is the second biggest value in 2, l, m, -1/7?
m
Let s be -4 + 0 + 8 + -2. Which is the biggest value? (a) 0.5 (b) -2/9 (c) -3/5 (d) s
d
Let h = 26.5 + -21.62. Let f = h + 0.12. Let p = 8581 + -8577. What is the third biggest value in p, f, -3?
-3
Let k(o) = o**3 + 4*o**2 + o - 3. Let q be k(-2). Which
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{
"pile_set_name": "DM Mathematics"
}
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+ k*o**2. Let c(y) = 6*y. Determine c(d(n)).
-6*n**2
Let f(l) = l**2. Let t(q) = 4766*q**2 - 1927*q - 1. What is t(f(o))?
4766*o**4 - 1927*o**2 - 1
Let a(r) = r - 2. Let k(f) = 2*f**2 - 3*f + 6. Let m be (910/20)/(-13) + (-2)/(-4). Let u(t) = m*a(t) - k(t). Let s(c) = 7*c. Give s(u(x)).
-14*x**2
Let y(f) = -10*f**2. Let p(x) = 23 + 21*x - 30*x**2 - 10 + 8. Let w = 790 - 769. Let l(n) = -6*n**2 + 4*n + 4. Let j(u) = w*l(u) - 4*p(u). Give j(y(q)).
-600*q**4
Let g(o) be the first derivative of o**6/40 - 80*o**3 - 213. Let p(k) be the third derivative of g(k). Let s(f) = 5*f. What is s(p(z))?
45*z**2
Let o(t) = t**2 + 26*t + 30. Let s be o(-27). Let x(y) = -15*y + 157*y - 4*y + s*y. Let m(n) = -n**2. Determine x(m(z)).
-195*z**2
Let b(n) = 6*n**2. Let f = -15 + 17. Suppose -3*g + f = -4. Let p(j) = 0*j**2 - 5 + 5 + j**g. Give p(b(k)).
36*k**4
Let n(p) = -p. Let y(i) = -8827*i**2 - 1264*i. What is n(y(h))?
8827*h**2 + 1264*h
Let t(u) = 23546*u. Let r(x) be the first derivative of x**2 - 10581. Calculate r(t(y)).
47092*y
Let i(b) = 144165330*b. Let w(f) = 3*f**2. Determine i(w(h)).
432495990*h**2
Let g(v) = -2*v**2. Let d(s) = 46 - 24 + 638*s**2 - 22 + 398*s**2. Give g(d(k)).
-2146592*k**4
Let y(s) = -2*s. Let r(d) = 10054*d - 27. Let v(o) = -2510*o + 6. Let g(x) = 2*r(x) + 9*v(x). What is y(g(l))?
4964*l
Let x(n) be the first derivative of 4*n**3/3 + 196*n + 1111. Let v(u) = -u. What is v(x(c))?
-4*c**2 - 196
Let q(l) = 1928147*l. Let d(x) = 15*x**2. Calculate d(q(z)).
55766262804135*z**2
Let q(g) = 32*g - 1. Let k(a) be the second derivative of -a**6/360 - 8*a**3 + 24*a. Let o(s) be the second derivative of k(s). Give o(q(w)).
-1024*w**2 + 64*w - 1
Let w(n) = -3*n + 0*n - 2*n. Let c(z) = z + 40. Calculate c(w(f)).
-5*f + 40
Let p(h) = -7 - 53 + 60 + 16*h. Let k(u) = 52*u**2. What is k(p(v))?
13312*v**2
Let r(t) = -t + 7. Let y be r(-13). Let v be ((-128)/y)/(-2*2/40). Let g(l) = 2*l - 2 - 81*l**2 + v*l**2 - 2*l. Let s(x) = -x**2. Determine g(s(f)).
-17*f**4 - 2
Let r(b) be the second derivative of -31/2*b**2 + 0 - 1/6*b**4 + 24*b + 0*b**3. Let y(v) be the first derivative of r(v). Let q(w) = 4*w**2. What is q(y(g))?
64*g**2
Let j(k) = -326*k - 396835. Let r(q) = -2*q. What is r(j(f))?
652*f + 793670
Let j(l) be the first derivative of 611*l**2/2 + 3506. Let y(p) = 4*p. Determine j(y(s)).
2444*s
Let t(s) = -10*s. Let q(k) = 3*k + 123543. Calculate t(q(n)).
-30*n - 1235430
Let n be (-1)/3 + 30/9. Let r(y) = -n*y + 6*y - 10*y - 10*y. Let z(k) be the third derivative of -k**4/12 + 3*k**2. Give z(r(t)).
34*t
Let z(n) be the third derivative of n**4/8 - 16*n**2 - 2*n. Suppose -4*c + 2*c = -6. Let v(y) = 0*y**2 + c*y**2 + 9*y**2. Determine v(z(h)).
108*h**2
Let k(l) = 97*l. Let h(u) = -1068574*u. Calculate k(h(w)).
-103651678*w
Let s(f) = -41*f + 1. Let w(o) = -3198*o. What is s(w(m))?
131118*m + 1
Let l(j) = 5*j. Let t(k) = 3262092*k. Calculate t(l(x)).
16310460*x
Let q(b) = 44*b + 3*b**2 - 22*b - 22*b. Let k(j) = 99*j. Let p(s) = 840*s. Let z(x) = 42*k(x) - 5*p(x). Determine q(z(u)).
5292*u**2
Let w(k) = -2*k. Let u(f) = -37*f - 3. Let i(d) = 38*d - 13 + 3*d + 7 + 10 - 6*d. Let y(s) = -3*i(s) - 4*u(s). What is w(y(b))?
-86*b
Let p(u) = 21*u**2 + 2*u. Let k(j) = 42*j**2 + 5*j. Let t(l) = 2*k(l) - 5*p(l). Let x = -16 - -17. Let y(g) = -1 + 773*g + x - 771*g. Give y(t(b)).
-42*b**2
Let r(o) = o. Let x(p) be the second derivative of 2703*p**4/4 - 4592*p. Give r(x(h)).
8109*h**2
Let c(u) = -18*u**2. Let f(r) = -383*r + 32*r + 1812751 - 1812751. Give f(c(h)).
6318*h**2
Let u(o) = 2 + 0 + 2 - 24*o + 26*o - 2. Let h(n) = 8*n**2. Give u(h(c)).
16*c**2 + 2
Let l(q) = 9*q**2 + 3. Let s(j) = -273291*j**2. Determine l(s(x)).
672191736129*x**4 + 3
Let o = -32 + 1324. Let c(a) = -640*a - 649*a + o*a. Let b(x) = -2*x + 4. Let q(z) = 5*z - 11. Let y(w) = -11*b(w) - 4*q(w). Determine y(c(i)).
6*i
Let k(r) = 2*r. Suppose -4*h = -2*z - 8 - 2, 4*z - 4*h = -4. Let c(g) = z*g + 2383 + 21*g**2 - 2383. Calculate k(c(q)).
42*q**2 + 6*q
Let h(n) be the second derivative of 3*n**4/4 + 1217*n. Let b(s) = -19*s - 3. Give h(b(m)).
3249*m**2 + 1026*m + 81
Let n(j) = 98024148*j. Let t(k) = k**2. Determine t(n(v)).
9608733591125904*v**2
Let q(y) = 49815*y + 49833*y - 99635*y. Suppose 5*c = -j + 3, 2*c + 0*c = 2*j + 6. Let g(s) = -1 + c - 5*s. Determine q(g(x)).
-65*x
Let l(p) = 16*p - 6. Let q(f) = 4*f - 72. Let a(z) = -z + 16. Let w = 309 - 318. Let m(o) = w*a(o) - 2*q(o). Calculate m(l(h)).
16*h - 6
Let s(z) = -2*z**2. Let j be 10/(-40) + (-230)/8. Let m = -18 - j. Let c(x) = -31*x + 4 - m*x - 4. Give c(s(g)).
84*g**2
Let a(o) = -4*o + 12. Let l be -4 - -2 - (-8 - -3). Let i(w) = -l*w + 147 - 147 + 4*w. Determine i(a(h)).
-4*h + 12
Let m(q) = 15*q - 4*q - 2152 + 2152 - 9*q. Let r(b) be the first derivative of -202*b**3/3 + b**2 + 2. Give r(m(o)).
-808*o**2 + 4*o
Suppose -2*t = 2*t + 24. Let r = t - -5. Let a(q) = -9*q**2 - 15*q. Let z(x) = -x**2 - x. Let i(h) = r*a(h) + 15*z(h). Let o(d) = -3*d**2. Give i(o(l)).
-54*l**4
Let r = 9329/2 - 4664. Let b(f) be the first derivative of 0*f - 13 + r*f**2. Let l(j) = -22*j**2. Determine b(l(c)).
-22*c**2
Let q(i) be the second derivative of 5*i**4/3 + 3*i - 12. Let v(s) be the first derivative of -s**3/3 + 15. What is v(q(h))?
-400*h**4
Let l(c) = -1721*c + 78. Let j(w) = -495*w. Calculate l(j(s)).
851895*s + 78
Let h(q) = -4*q**2. Let t(s) = -56393*s + 672. Calculate t(h(w)).
225572*w**2 + 672
Let p(d) = 33 - 41*d**2 + 6 + 1 - 40. Let c(r) = 15*r. What is p(c(n))?
-9225*n**2
Let n(d) = -d**2. Let m(c) = -29*c**2. Let i(w) = -m(w) + 5*n(w). Let y(x) = -10152386*x**2 + 3*x + 10152379*x**2 - 3*x. Calculate y(i(q)).
-4032*q**4
Let c(n) = 84996*n. Let u(t) = 1347*t**2. Give c(u(j)).
114489612*j**2
Let m(p) = -348*p**2 - 11*p**2 - 510*p**2 + 123*p**2. Let v(u) = -158*u**2 + 402*u**2 - 246*u**2. Determine v(m(f)).
-1113032*f**4
Let x(o) be the first derivative of 5/2*o**2 + 0*o - 317. Let d(y) = -y - 1. Let p(t) = -4*t**2 - 12*t - 12. Let a(s) = -12*d(s) + p(s). What is a(x(l))?
-100*l**2
Let m(z) = 2*z. Let a(b) = -846545 + 846545 - 48*b**2. Determine m(a(d)).
-96*d**2
Let n(s) = -569*s**2. Let q(v) be the third derivative of -5*v**4/24 - 4*v**2 + 870. Calculate q(n(x)).
2845*x**2
Let h(m) = -m**2 - 39*m + 3. Let l(s) = -2*s**2 - 91*s + 7. Let g(c) = -7*h(c) + 3*l(c). Let t(f) = -36*f**2 - 2*f + 4. Determine t(g(k)).
-36*k**4 - 2*k**2 + 4
Let v(j) = -6*j + 1269. Let z(a) = -a + 47. Let i(y) = -5*v(y) + 135*z(y). Let r(l) = -4*l**2. Give i(r(m)).
420*m**2
Let p(g) = 3*g**2 + 2*g - 996. Let n(j) be the first derivative of -j**2/2 - 4952. Calculate p(n(d)).
3*d**2 - 2*d - 996
Let g(h) = -39351*h**2 + 102*h. Let q(s) = -12*s. Determine g(q(o)).
-5666544*o**2 - 1224*o
Let h(c) = 2*c**2. Let d be (-410)/(-14) - (-14)/(-49). Suppose -8*j = -d - 11. Let z(a) = -20*a + 20*a - j*a**2. What is z(h(k))?
-20*k**4
Let x(l) = 2*l**2. Let g(n) = 12085097*n**2. Determine x(g(p)).
292099138998818*p**4
Let a(n) be the second derivative of 23*n - 1/12*n**4 + 0*n**3 + 0*n**2 - 4. Let s(p) = -18*p + 2. Calculate a(s(k)).
-324*k**2 + 72*k - 4
Let w(h) = -15*h**2 - 3*h. Let t(n) be the first derivative of -22*n**2 + 645. Give t(w(j)).
660*j**2 + 132*j
Let u(z) = 9*z**2 + 13*z + 15. Let b(q) be the first derivative of -5*q**3/3 - 7*q**2/2 - 9*q + 203. Let r(k) = -5*b(k) - 3*u(k). Let i(m) = m. Give r(i(t)).
-2*t**2 - 4*t
Let r(l) = 2539*l**2 - 3*l - 259. Let i(d) = -17*d**2. Calculate r(i(f)).
733771*f**4 + 51*f**2 - 259
Let g(c) = -2*c**2. Let r(i) = i**3 - 8*i**2 + 2*i - 10. Let h be 8/(-5)*(-12 - -7). Let y be r(h). Let x(u) = y*u + u - 2*u. Give g(x(p)).
-50*p**2
Let h(n) = -40*n + 2. Let g(p) = 22*p - 1. Let z(r) = 9*g(r) + 5*h(r). Let i(u) = 2*u**2 + 3*u**2 - 9*u**2. What is z(i(w))?
8*w**2 + 1
Let f(q) = 0*q - 2*q + 3*q. Let h(k) be the second derivative of 0*k**2 - 4/3*k**3 + 0 - 468*k. Determine f(h(o)).
-8*o
Let i(y) = -114*y + 465*y - 119*y + 20 - 115*y - 113*y. Let a(t) = -23*t**2. Determine a(i(p)).
-368*p**2 - 3680*p - 9200
Let b(r) = 175996*r + 782. Let i(v) = -225*v - 1. Let o(w) = -2*b(w) - 1564*i(w). Let a(d) be the first derivative of 5*d**2/2 - 2. What is o(a(c))?
-460*c
Let f(y) = 5*y - y - 3 + 2. Let p(a) be the third derivative of a**6/360 - a*
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{
"pile_set_name": "DM Mathematics"
}
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1)/5
Let t be ((-6)/(-18))/(2/42). Suppose -t*i - 22 = -5*a - 3*i, -i = -a + 5. Factor -3/2*k**a + 0 + 3*k.
-3*k*(k - 2)/2
Suppose 22 = d + 5*c, -d + 4*d - 3*c = -6. Let b(r) be the second derivative of 1/2*r**4 + 2*r - 4/5*r**d - 4/15*r**3 + 0. Factor b(z).
2*(3*z - 2)*(5*z + 2)/5
Let p(c) = -3*c**4 - 4*c**2 + 4*c - 4. Let v(b) = b**2 - b + 1. Let u be 3 + 1/(-1) + -3. Let s(y) = u*p(y) - 4*v(y). Factor s(m).
3*m**4
Let r(h) be the second derivative of -h**5/120 + h**3/12 + 3*h**2/2 + 3*h. Let p(q) be the first derivative of r(q). Factor p(g).
-(g - 1)*(g + 1)/2
Let j = 5 - 4. Let o(c) be the first derivative of 1/5*c**2 + 1/5*c + 1/15*c**3 - j. What is y in o(y) = 0?
-1
Suppose 9*l - 90 = -0*l. Suppose 2 + l*w + 25/2*w**2 = 0. Calculate w.
-2/5
Suppose p**2 - 5*p**5 - 10*p + 4*p**3 + 11*p**3 - 5*p**4 + 6*p**2 - 2*p**2 = 0. What is p?
-2, -1, 0, 1
Solve 25*s**3 - 27*s**2 + 3*s**4 + 67*s**2 + 9*s + 11*s + 2*s**4 = 0.
-2, -1, 0
Suppose 3*k = -6, -n + 5*k + 1 = -12. Factor 4*j**2 - 2*j**n - j**3 - 13*j**2 - 6*j.
-3*j*(j + 1)*(j + 2)
Let r(f) be the second derivative of -2*f**7/63 - f**6/30 + f**5/60 + 22*f. Let r(h) = 0. Calculate h.
-1, 0, 1/4
Let q be 4/1 - (-2 - -4). Factor -b**3 - 5*b**3 + 0*b**2 + b**q - 3*b**2.
-2*b**2*(3*b + 1)
Factor -3*c + 2*c**3 + 4*c + 2*c**2 + 6*c**3 - 7*c**3.
c*(c + 1)**2
Suppose -8/3*k**2 - 16/9*k + 0 - 2/9*k**4 - 4/3*k**3 = 0. What is k?
-2, 0
Let v be (25/2)/((-4)/8). Let l be (-2)/(-14) - v/21. Determine x, given that 125/6*x**4 + 0 + 10*x**2 + 25*x**3 + l*x = 0.
-2/5, 0
Let p = 5 - 3. Factor -4 - p*m**5 - 3*m**4 + 11*m**4 - 8*m**3 + 10*m + 4*m**2 - 8*m**2.
-2*(m - 2)*(m - 1)**3*(m + 1)
Let p(u) be the first derivative of 3*u**5/5 - 9*u**4/4 + 2*u**3 - 17. Factor p(o).
3*o**2*(o - 2)*(o - 1)
Let c be -1 + ((-183)/6)/((-60)/2). Let u(w) be the second derivative of 2*w + 1/18*w**3 - 1/36*w**4 - c*w**5 + 0 + 1/6*w**2. Determine g so that u(g) = 0.
-1, 1
Let p = -134/7 - -661/21. Factor -20/3*t - 3*t**4 - p*t**2 - 4/3 - 10*t**3.
-(t + 1)**2*(3*t + 2)**2/3
Solve 0 - 12/5*j - 3/5*j**2 = 0.
-4, 0
Find g such that 12/7*g**3 + 4/7*g**4 - 12/7*g + 4/7*g**2 - 8/7 = 0.
-2, -1, 1
Factor -2/7*n + 0 + 2/7*n**3 + 0*n**2.
2*n*(n - 1)*(n + 1)/7
Factor 5/2*r**3 - 2 - 3/2*r**2 - 6*r.
(r - 2)*(r + 1)*(5*r + 2)/2
Let a(l) be the second derivative of l**7/168 + l**6/120 - 3*l**5/80 - l**4/48 + l**3/12 - 37*l. Solve a(c) = 0 for c.
-2, -1, 0, 1
Let j = -1441/15 - -290/3. Factor 6/5*c + 0 - j*c**3 + 3/5*c**2.
-3*c*(c - 2)*(c + 1)/5
Let b(i) be the first derivative of -i**5/25 + 3*i**4/5 - 46*i**3/15 + 6*i**2 - 5*i - 16. Factor b(p).
-(p - 5)**2*(p - 1)**2/5
Suppose -28*v - 9 = -31*v. Factor -8/5*i**2 - 2/5*i**v - 2*i - 4/5.
-2*(i + 1)**2*(i + 2)/5
Let s(r) be the second derivative of -r**6/105 - r**5/10 - 3*r**4/7 - 20*r**3/21 - 8*r**2/7 - 10*r. What is o in s(o) = 0?
-2, -1
Let p(n) be the first derivative of -n**4/36 - n**3/9 + n**2/2 + n - 1. Let c(w) be the first derivative of p(w). Suppose c(x) = 0. What is x?
-3, 1
Suppose 2*p = -1 + 9. Let i = -2 + p. Solve -1/3 - 2/3*c - 1/3*c**i = 0.
-1
Let h = -12 + 13. Let m(p) = p**2 + p. Let t(j) = -5*j**2 - 4*j + 1. Let b(c) = h*t(c) + 6*m(c). Factor b(g).
(g + 1)**2
Let u(y) be the second derivative of -y**5/80 + y**4/32 + y**3/4 + y**2/2 - 6*y. Let n(d) be the first derivative of u(d). Factor n(t).
-3*(t - 2)*(t + 1)/4
Let g = -7 - -13. Suppose g = 5*u - 4. Factor 3*m**3 + m**4 + 3*m**2 - 2*m**4 + u*m**4 + m.
m*(m + 1)**3
Suppose -6*h = -3*d - 2*h + 189, h = 4*d - 252. Factor 343/6*a**5 + 46/3*a**2 + 4/3*a + d*a**3 + 0 + 637/6*a**4.
a*(a + 1)*(7*a + 2)**3/6
Suppose 0 = -4*y + 3 + 1. Suppose -y - 1 = -n. Find g, given that 6*g**3 + n*g**4 - 2*g - 2*g + 6*g**2 + 2*g + 4*g = 0.
-1, 0
Suppose -5*p - 3*n - 13 = -102, n = -5*p + 83. Let t be p/6*(-3)/(-2). Determine g so that g - 3*g**2 + t*g**2 - 5*g**2 = 0.
0, 1/4
Let m(p) be the first derivative of -2/9*p**3 + 0*p - 5 + 2/3*p**2. Factor m(l).
-2*l*(l - 2)/3
Find z, given that -19*z - 3*z**2 + 2*z**2 + 2*z**2 + 7*z = 0.
0, 12
What is s in -3/5*s**3 + 0*s**2 + 0 + 9/5*s**4 + 12/5*s**5 + 0*s = 0?
-1, 0, 1/4
Suppose -5*b + 30 = -3*b. Let j be 46/24 + 5/b. Suppose j*s + 7/4*s**2 + 1/2 = 0. What is s?
-1, -2/7
Suppose -b = n + b + 4, -3*n + 2 = -b. Let o = 9 + -35/4. Find x, given that -1/4*x**2 + n + o*x**3 - 1/2*x = 0.
-1, 0, 2
Let -3/2*i**3 - 3/4 - 3/4*i**4 + 3/4*i + 3/4*i**5 + 3/2*i**2 = 0. Calculate i.
-1, 1
Suppose -i = -9 - 7. Let c be 10/i*22/55. Factor 0 - 1/4*s**3 + 1/4*s + c*s**2 - 1/4*s**4.
-s*(s - 1)*(s + 1)**2/4
Let n(j) be the third derivative of -j**8/30240 - j**7/2520 + j**5/12 + 4*j**2. Let f(i) be the third derivative of n(i). Determine k, given that f(k) = 0.
-3, 0
Suppose 2*a = 4*r - 20, -5*r + 0*r - 4*a + 25 = 0. Suppose -15 = -5*s + r. Solve 2/3 - 8/3*k**3 - 8/3*k + 2/3*k**s + 4*k**2 = 0.
1
Suppose 0 = 3*k + 2*g + 49, -2*k + 2*g = 60 - 14. Let n = k + 23. Factor 1/6*v**3 + 2/3*v**2 - 1/6*v - 2/3*v**n + 0.
-v*(v - 1)*(v + 1)*(4*v - 1)/6
Suppose -7*n - 87 = -10*n. Let b = n + -27. Let -2/5*p - 6/5*p**3 + 6/5*p**b + 0 + 2/5*p**4 = 0. Calculate p.
0, 1
Let x(q) = 3*q - 6. Suppose -n - 3 = -6. Let l be x(n). Let 2/5*a**4 + 12/5*a**l + 24/5*a + 8/5 + 26/5*a**2 = 0. Calculate a.
-2, -1
Let x be 5/40 - 26/400. Let l(g) be the second derivative of 0 + 3*g - x*g**5 + 0*g**2 + 1/75*g**6 + 1/10*g**4 - 1/15*g**3. Factor l(q).
2*q*(q - 1)**3/5
Let o(c) be the second derivative of -c**4/42 + 2*c**3/21 + 8*c**2/7 + 4*c + 3. Factor o(a).
-2*(a - 4)*(a + 2)/7
Let r be (-3)/((2 + 0)/(-2)). Let m be (-2)/r*(-9)/2. Let -1 - 2*a**m + 0*a**5 + 2*a**2 + a**4 - 2*a**4 + a**5 + a = 0. Calculate a.
-1, 1
Let u(h) = -h**3 + 18*h**2 + 5. Let a be u(18). Let i(y) be the third derivative of -2*y**2 + 0 - 1/30*y**a - 1/4*y**4 - 2/3*y**3 + 0*y. Factor i(r).
-2*(r + 1)*(r + 2)
Let u(a) be the second derivative of -a**4/42 + 5*a**3/21 - 6*a**2/7 + 28*a. Factor u(i).
-2*(i - 3)*(i - 2)/7
Let w(n) be the third derivative of -n**5/90 + n**4/18 + 5*n**2. Let w(j) = 0. What is j?
0, 2
Let a(k) be the third derivative of -k**10/453600 + k**8/60480 + k**5/15 + 2*k**2. Let n(u) be the third derivative of a(u). Suppose n(v) = 0. What is v?
-1, 0, 1
Determine f, given that -1/3*f**2 - 4/3 + 4/3*f = 0.
2
Let c(g) = 4*g**4 + 54*g**3 - 40*g**2 + 14*g. Let l(x) = -x**4 - 11*x**3 + 8*x**2 - 3*x. Let f(u) = -3*c(u) - 14*l(u). Suppose f(d) = 0. What is d?
0, 2
Let k be 1/2*(2 - 2). Solve 4/9*a**2 + 0*a - 2/9*a**4 + k*a**3 - 2/9 = 0 for a.
-1, 1
Let j = 10 - 5. Suppose 2*y - j*v = -1, y = 3*v - v. Let 0*i + 3*i - i**3 - y*i = 0. What is i?
-1, 0, 1
Let d = -8 - -11. Factor 13*u**4 + u**2 + 1 - 3*u**2 - 2*u**d + u**5 - 12*u**4 + u.
(u - 1)**2*(u + 1)**3
Let s = 76 + -73. Let r(z) be the second derivative of 1/40*z**5 + 1/4*z**s - 1/4*z**2 + 2*z - 1/8*z**4 + 0. Solve r(h) = 0.
1
Let l(v) be the first derivative of 2*v**4 - 6*v**3 + 20. Factor l(t).
2*t**2*(4*t - 9)
Let g(y) be the third derivative of -y**6/480 + y**5/48 - y**4/32 - 3*y**3/8 + 4*y**2 + 4. Let g(n) = 0. What is n?
-1, 3
Let l(m) = 4*m + 59. Let k be l(-14). Factor 2/5 + 1/5*x**k - 1/5*x - 2/5*x**2.
(x - 2)*(x - 1)*(x + 1)/5
Let a(t) be the third derivative of 0*t - 7*t**2 + 0 + 1/150*t**6 + 1/30*t**4 + 1/1050*t**7 + 1/30*t**3 + 1/50*t**5. Let a(j) = 0. Calculate j.
-1
Suppose 9*z = 14*z. Let t(i) be the second derivative of 1/3*i**6 + i - i**5 - 5/3*i**3 + 5/3*i**4 + z - 1/21*i**7 + i**2. Factor t(s).
-2*(s - 1)**5
Let s(a) be the third derivative of -a**6/30 - a**5/5 + 3*a**4/2 - 10*a**3/3 + 3*a**2 - 3*a. Factor s(f).
-4*(f - 1)**2*(f + 5)
Let x = 26 - 21. Let t(h) be the third derivative of -4/3*h**3 + 0*h + 1/3*h**4 - 1/30*h**x + 0 + h**2. Find u, given that t(u) = 0.
2
Let h be 20/11 - 18/(-99). Suppose -20 = -3*v + h*c + 3*c, 0 = -4*v + 4*c + 24. Factor -6*p + 3*p**5 - 2*p**3 + v*p**3 - 9*p**2 + 9*p**4 + 0*p.
3*p*(p - 1)*(p + 1)**2*(p + 2)
Let i(q) = -q**2. Let s(k) = -2 + k - 3*k + k - 2*k**2 + k**3. Let z(r) = -12*i(r) + 3*s(r). Factor z(l).
3*(l - 1)*(l + 1)*(l + 2)
Solve -8*i**2 - i**3 + 4*i**4 + 3*i**3 - 2*i**5 - 2*i + 4 + 0*i**3 + 2*i**3 = 0.
-1, 1, 2
Find l such that -3*l**2 - 2*l**3 + 4*l**2 + 7*l**2 = 0.
0, 4
Let m be (0 + 1 - -3)/2. Suppose 6 = m*x + 4*r, -4*r + 6 = 2*x - 9*r. Factor 3*p**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
replacement from cczzzcczzczcccccccz. What is prob of sequence czzc?
77/1292
Calculate prob of sequence rrq when three letters picked without replacement from rqqrqrrr.
5/28
Three letters picked without replacement from qpqpw. Give prob of sequence qwq.
1/30
Four letters picked without replacement from {d: 5, p: 2, b: 1, c: 1, i: 1}. What is prob of sequence bidp?
1/504
Calculate prob of sequence lq when two letters picked without replacement from kkqzddkkqzdkqqlkkq.
5/306
Three letters picked without replacement from iiiuububuuubiubuubb. Give prob of sequence uib.
12/323
Two letters picked without replacement from wrxwrd. Give prob of sequence rw.
2/15
Two letters picked without replacement from miriiriiiiiiioei. Give prob of sequence ei.
11/240
Two letters picked without replacement from {w: 3, h: 3, p: 2, u: 5}. What is prob of sequence wp?
1/26
Two letters picked without replacement from kssvtst. Give prob of sequence sk.
1/14
Calculate prob of sequence ejs when three letters picked without replacement from hsssoosjehsso.
1/286
What is prob of sequence ig when two letters picked without replacement from ggicicazggqggzi?
3/35
Four letters picked without replacement from upuuigiugppp. Give prob of sequence pppp.
1/495
Calculate prob of sequence eu when two letters picked without replacement from eeeeeeeeeeeueeeeeeee.
1/20
Two letters picked without replacement from {g: 2, k: 1}. Give prob of sequence kg.
1/3
Three letters picked without replacement from nnnnnnnnznzzzn. Give prob of sequence zzn.
5/91
Calculate prob of sequence rrro when four letters picked without replacement from rrorrrorrrrrrrrxr.
13/170
Calculate prob of sequence wzpn when four letters picked without replacement from rrrwnrrzrrxpwrx.
1/16380
Two letters picked without replacement from uua. Give prob of sequence au.
1/3
Three letters picked without replacement from mrqpmqqqrppmqrrqm. Give prob of sequence qpm.
3/170
Three letters picked without replacement from {c: 2, s: 1, v: 1, p: 3, r: 4}. What is prob of sequence rps?
2/165
Calculate prob of sequence yhj when three letters picked without replacement from hyfyxjxhxxfxyfxfx.
1/680
What is prob of sequence dza when three letters picked without replacement from oczzacadb?
1/126
Calculate prob of sequence rr when two letters picked without replacement from qqrqqqqqoqqqrrqqoq.
1/51
What is prob of sequence xll when three letters picked without replacement from xlxllcxxx?
5/84
Four letters picked without replacement from {z: 4, l: 1, x: 1, c: 4, u: 1}. What is prob of sequence xczu?
1/495
Calculate prob of sequence xsrp when four letters picked without replacement from {r: 1, p: 1, x: 2, s: 3}.
1/140
Two letters picked without replacement from {k: 1, x: 1, u: 1, p: 1, a: 1}. What is prob of sequence kp?
1/20
Two letters picked without replacement from {i: 1, x: 3, d: 1, c: 2}. Give prob of sequence cd.
1/21
Calculate prob of sequence yvud when four letters picked without replacement from dzdyvsuu.
1/420
Three letters picked without replacement from {b: 1, c: 1, l: 4, j: 8, k: 2}. Give prob of sequence blc.
1/840
Four letters picked without replacement from jxjjjxjjxxxxjxjxr. What is prob of sequence jjrj?
1/170
Calculate prob of sequence cu when two letters picked without replacement from unuuusntcsscscuuwc.
4/51
Calculate prob of sequence lp when two letters picked without replacement from rzpddddlzdzzzzd.
1/210
Two letters picked without replacement from {z: 3, r: 1, u: 2, g: 1, n: 1, j: 3}. Give prob of sequence rj.
3/110
What is prob of sequence kkj when three letters picked without replacement from {t: 1, k: 5, j: 4}?
1/9
What is prob of sequence fg when two letters picked without replacement from {g: 1, f: 1, m: 2, t: 9}?
1/156
What is prob of sequence kwd when three letters picked without replacement from wplwpwkkkwd?
2/165
What is prob of sequence zbo when three letters picked without replacement from {b: 3, o: 4, v: 2, z: 8, r: 2}?
16/969
What is prob of sequence tc when two letters picked without replacement from {t: 2, d: 1, c: 4}?
4/21
Three letters picked without replacement from rnpxrnqbq. Give prob of sequence nbr.
1/126
Calculate prob of sequence mmnp when four letters picked without replacement from {m: 2, p: 6, n: 4}.
2/495
Two letters picked without replacement from nekekkgodoookodgoooe. What is prob of sequence nd?
1/190
Three letters picked without replacement from ppeteeeeepepepetpe. Give prob of sequence eee.
5/34
What is prob of sequence wh when two letters picked without replacement from {h: 2, a: 6, q: 4, w: 6}?
2/51
Calculate prob of sequence jfrv when four letters picked without replacement from frforfjovkoj.
1/990
Two letters picked without replacement from lkllauagraakkkarlkgl. What is prob of sequence lr?
1/38
What is prob of sequence qm when two letters picked without replacement from quruumumn?
1/36
Calculate prob of sequence se when two letters picked without replacement from {z: 1, s: 2, j: 4, x: 2, e: 1}.
1/45
Two letters picked without replacement from {n: 11, s: 1, g: 5}. Give prob of sequence sn.
11/272
Calculate prob of sequence wzez when four letters picked without replacement from {w: 1, z: 2, e: 1}.
1/12
Four letters picked without replacement from {e: 4}. Give prob of sequence eeee.
1
Three letters picked without replacement from {x: 8, k: 2}. What is prob of sequence xxk?
7/45
Two letters picked without replacement from vvvvnn. Give prob of sequence vv.
2/5
What is prob of sequence ypno when four letters picked without replacement from jnnyynoppyq?
1/440
What is prob of sequence oo when two letters picked without replacement from mmmuouuuomooumoua?
5/68
Three letters picked without replacement from eoxfxeffxofyffxqq. Give prob of sequence xfq.
1/85
What is prob of sequence yrmy when four letters picked without replacement from {r: 9, y: 4, m: 1}?
9/2002
Calculate prob of sequence ol when two letters picked without replacement from lllllooo.
15/56
Calculate prob of sequence pphl when four letters picked without replacement from {l: 2, p: 9, h: 3, e: 3}.
9/1190
Three letters picked without replacement from {t: 4, x: 14}. Give prob of sequence ttx.
7/204
Three letters picked without replacement from uzzclch. Give prob of sequence ccu.
1/105
Four letters picked without replacement from {i: 12, a: 3}. What is prob of sequence aiaa?
1/455
Calculate prob of sequence ggq when three letters picked without replacement from {q: 7, g: 3}.
7/120
Calculate prob of sequence wwww when four letters picked without replacement from {w: 7}.
1
Two letters picked without replacement from qqsqqqissqqis. What is prob of sequence sq?
7/39
Two letters picked without replacement from eoooeooeoo. Give prob of sequence oo.
7/15
Two letters picked without replacement from {g: 11, s: 7, u: 1}. Give prob of sequence su.
7/342
Calculate prob of sequence uum when three letters picked without replacement from {x: 3, n: 1, m: 2, p: 2, w: 1, u: 3}.
1/110
Four letters picked without replacement from hahhhhhhhaahhaahahh. What is prob of sequence haah?
65/1292
Four letters picked without replacement from zaclilq. Give prob of sequence lqiz.
1/420
What is prob of sequence pp when two letters picked without replacement from pzzppzyzppzppzzpzyp?
4/19
What is prob of sequence llcv when four letters picked without replacement from {e: 4, n: 1, c: 2, v: 1, l: 3}?
1/660
Two letters picked without replacement from {p: 3, h: 4, e: 2, s: 2, t: 1}. What is prob of sequence es?
1/33
Three letters picked without replacement from {q: 13, f: 6}. What is prob of sequence fqf?
65/969
Two letters picked without replacement from ozqoqoozzoqmqzz. Give prob of sequence oz.
5/42
What is prob of sequence ttbt when four letters picked without replacement from {o: 2, t: 4, x: 2, b: 1}?
1/126
Three letters picked without replacement from pptrperrkktr. What is prob of sequence ptt?
1/220
Calculate prob of sequence nr when two letters picked without replacement from {h: 1, r: 3, w: 1, k: 3, n: 2, x: 1}.
3/55
What is prob of sequence xc when two letters picked without replacement from zceezrecfxexczefexe?
1/38
Calculate prob of sequence nti when three letters picked without replacement from tni.
1/6
Four letters picked without replacement from
|
{
"pile_set_name": "DM Mathematics"
}
|
r of 9 and 41922?
9
Calculate the greatest common factor of 135 and 11145.
15
What is the highest common divisor of 75141 and 21384?
297
Calculate the greatest common divisor of 28251 and 11997.
387
What is the greatest common divisor of 169 and 18213?
13
Calculate the highest common divisor of 33 and 532048.
11
Calculate the greatest common divisor of 940 and 23960.
20
Calculate the greatest common factor of 7524 and 132.
132
Calculate the highest common factor of 243 and 255123.
27
What is the greatest common divisor of 1769544 and 168?
168
Calculate the highest common divisor of 138 and 703662.
138
What is the highest common factor of 52 and 116964?
4
What is the greatest common divisor of 1900 and 22116?
76
Calculate the greatest common factor of 70908 and 2052.
228
What is the highest common factor of 229 and 14?
1
What is the greatest common factor of 30 and 8710?
10
What is the highest common factor of 1622 and 139?
1
Calculate the greatest common divisor of 2072 and 1512.
56
Calculate the highest common factor of 102 and 280262.
34
What is the greatest common divisor of 399609 and 252?
63
Calculate the greatest common divisor of 891 and 2841399.
891
What is the greatest common divisor of 5060 and 572?
44
What is the greatest common factor of 27 and 695547?
27
Calculate the highest common factor of 6 and 89896.
2
Calculate the highest common factor of 59 and 289867.
59
Calculate the greatest common factor of 1147 and 6364.
37
Calculate the highest common factor of 814613 and 59.
59
What is the greatest common factor of 1884743 and 266?
133
What is the highest common factor of 75 and 1059?
3
What is the greatest common divisor of 602 and 9562?
14
Calculate the greatest common divisor of 8468 and 7884.
292
Calculate the highest common factor of 15 and 13692765.
15
What is the greatest common factor of 12144 and 275?
11
Calculate the greatest common divisor of 2289 and 54609.
327
What is the greatest common factor of 126896 and 464?
16
What is the highest common divisor of 508 and 5404612?
508
What is the greatest common factor of 8260 and 3717?
413
Calculate the greatest common factor of 43815 and 4830.
345
Calculate the highest common divisor of 172276 and 364.
52
What is the greatest common factor of 218568 and 63?
21
What is the highest common divisor of 12540 and 20710?
190
Calculate the highest common divisor of 264 and 99132.
132
What is the highest common factor of 405 and 1060155?
135
Calculate the greatest common factor of 1793 and 21969629.
1793
What is the greatest common divisor of 442 and 7067801?
221
Calculate the greatest common factor of 4619 and 1519.
31
Calculate the greatest common factor of 4217565 and 165.
165
What is the highest common factor of 1376 and 6112?
32
What is the greatest common divisor of 420 and 294180?
60
What is the highest common divisor of 63 and 157158?
9
What is the highest common factor of 24252 and 602?
86
What is the highest common factor of 1252132 and 197?
197
Calculate the greatest common divisor of 52416 and 126.
126
What is the highest common divisor of 535268 and 684?
76
What is the greatest common divisor of 465946 and 130?
26
Calculate the highest common factor of 1972 and 1564.
68
What is the highest common divisor of 4052814 and 438?
438
What is the greatest common divisor of 2842 and 29638?
406
What is the highest common factor of 4041 and 1944?
9
What is the greatest common divisor of 6432 and 4832?
32
What is the highest common factor of 476 and 6477?
17
What is the highest common divisor of 89 and 61499?
89
What is the greatest common divisor of 2232 and 1044?
36
Calculate the greatest common divisor of 13021 and 128863.
449
Calculate the greatest common factor of 3843 and 22509.
549
What is the greatest common factor of 16 and 43276?
4
Calculate the greatest common factor of 858 and 20067762.
858
Calculate the highest common factor of 74137 and 6230.
623
What is the greatest common divisor of 88 and 69652?
44
What is the highest common divisor of 17460 and 660?
60
What is the highest common divisor of 4017 and 936?
39
Calculate the highest common factor of 12635 and 308.
7
Calculate the greatest common divisor of 11649 and 33.
33
Calculate the greatest common divisor of 3365 and 749722.
673
What is the greatest common factor of 18998 and 12036?
118
Calculate the greatest common factor of 33524 and 31501.
289
Calculate the greatest common factor of 8238325 and 75.
25
What is the highest common factor of 66 and 405?
3
What is the highest common factor of 470 and 12790?
10
Calculate the greatest common factor of 15050 and 1450.
50
What is the highest common factor of 532 and 1547360?
76
What is the greatest common factor of 10867805 and 65?
65
Calculate the highest common divisor of 18 and 60498.
18
Calculate the greatest common divisor of 133900 and 8125.
325
Calculate the highest common factor of 1509 and 244961.
503
What is the highest common factor of 286130 and 1118?
26
Calculate the greatest common divisor of 2024 and 583616.
88
What is the greatest common factor of 6948 and 12912?
12
What is the greatest common factor of 627 and 2318?
19
What is the greatest common factor of 48 and 350512?
16
What is the greatest common divisor of 16578 and 1674?
54
What is the highest common factor of 199 and 242183?
199
Calculate the highest common factor of 48071 and 106.
53
Calculate the highest common divisor of 836 and 241832.
76
Calculate the greatest common factor of 220731 and 91.
7
What is the greatest common divisor of 451257 and 5235?
1047
Calculate the greatest common divisor of 77672 and 2660.
532
Calculate the greatest common factor of 120 and 320820.
60
What is the highest common factor of 35710 and 1160?
10
Calculate the greatest common divisor of 12 and 227592.
12
Calculate the greatest common factor of 176 and 44752.
16
Calculate the greatest common factor of 61224 and 516.
12
Calculate the greatest common factor of 6489 and 446814.
927
Calculate the greatest common divisor of 1371375 and 1431.
477
Calculate the greatest common factor of 15 and 237615.
15
Calculate the greatest common divisor of 10770 and 1170.
30
Calculate the greatest common factor of 203949 and 5117.
731
What is the highest common divisor of 53408 and 192?
32
Calculate the greatest common factor of 343862 and 38.
38
What is the highest common factor of 14314 and 1530?
34
Calculate the highest common factor of 432 and 117.
9
Calculate the highest common divisor of 12104 and 77608.
712
Calculate the highest common divisor of 7472 and 196607.
467
Calculate the highest common divisor of 24000 and 286500.
1500
What is the greatest common divisor of 11776 and 5704?
184
Calculate the greatest common divisor of 120428 and 9724.
748
Calculate the highest common divisor of 102640 and 240.
80
Calculate the highest common factor of 1404 and 124514.
26
Calculate the highest common divisor of 1044 and 669987.
261
Calculate the greatest common divisor of 37136 and 176.
176
Calculate the greatest common factor of 807 and 2352674.
269
What is the highest common divisor of 310 and 912820?
10
Calculate the highest common factor of 162090 and 2010.
30
Calculate the greatest common divisor of 151496 and 24.
8
Calculate the greatest common factor of 1625 and 910.
65
Calculate the greatest common factor of 71800 and 360.
40
What is the highest common factor of 76 and 113544?
76
What is the greatest common divisor of 236006 and 47920?
1198
Calculate the greatest common divisor of 174692 and 7.
7
Calculate the highest common factor of 1905 and 29385.
15
Calculate the highest common factor of 30471 and 42.
21
Calculate the highest common factor of 601637 and 4369.
257
Calculate the highest common factor of 9244530 and 303.
303
What is the highest common factor of 31265 and 1295?
185
Calculate the highest common factor of 3819925 and 10.
5
Calculate the highest common factor of 393005 and 830.
415
What is the highest common divisor of 210 and 1606416?
42
What is the highest common divisor of 72 and 814572?
36
What is the highest common factor of 173160 and 7410?
390
Calculate the highest common factor of 223992 and 6.
6
Calculate the highest common factor of 3280 and 16769.
41
Calculate the highest common factor of 87 and 201
|
{
"pile_set_name": "DM Mathematics"
}
|
*y = 12, 5*o - 16 = -y - 3*y for o.
0
Let u(m) = m**3 + 3*m**2 - 21*m + 1. Let d be u(-6). Suppose d*i = 14*i + 5. Solve -1 - i = -c, -1 = -q - 3*c for q.
-5
Let w(j) = -j + 21. Let d be 17/3 - 14/21. Let b be w(d). Suppose 3*f = -0*l - 2*l - 12, -4*f = -l + b. Solve 2*h - 3*c + 3 = -l*h, 0 = -2*c + 6 for h.
3
Suppose -60 = -11*r + 7*r + 2*k, -r - 2*k = -20. Suppose 3*b - 56 = z, -24 = -2*b + b - z. Let g = b - r. Solve -g*p + 3*f = 6*f - 22, p - 2 = f for p.
4
Suppose 1528*q - 1551*q = -46. Solve l + q*l = -2*h - 12, 0 = 3*h for l.
-4
Suppose 359*q = 473*q. Let y = 11 + -3. Solve 0 = 5*t + 3*o - 3, 2*o = -q*o - y for t.
3
Let p be (-10*1)/((-2)/(-2)*-2). Suppose 3*c - n - 50 = 0, 3*c + 0*n + 2*n = 62. Suppose -c = 2*y - 4*y. Solve -2*f + 2*b - 14 = -2*b, -3*b = p*f + y for f.
-3
Let j(d) be the second derivative of -d**5/20 + d**4/3 + d**3 - 11*d**2 - 7*d. Let b be j(4). Solve s - 5*p = -15, -5*s - b*p + p - 23 = 0 for s.
-5
Suppose -5*b + 12 = n, -520*b = -517*b - n - 12. Solve -3*t + 7 = 5*d + 9, 16 = 2*d - b*t for d.
2
Let c(b) = -b**3 + 4*b**2 + 2*b - 5. Let f be c(4). Let n = -27 + f. Let w = n - -26. Solve 2*a + 6*k = 3*k + 16, 0 = 5*a - 2*k - w for a.
2
Let h(b) be the third derivative of b**6/120 - b**5/12 + b**4/4 - 2*b**3/3 + 15*b**2. Let o be h(4). Solve 4*n = 2*a + 22, -3*a + o*a = 4*n - 17 for n.
3
Let u(l) = 20*l**2 - 18*l - 28. Let j be u(-1). Solve 3*y - 6 = -3*r, 11*y - 15*y + 5*r = j for y.
0
Let j(m) = 48*m + 93. Let q(i) = 72*i + 138. Let f(y) = 8*j(y) - 5*q(y). Let r be f(-2). Solve 5*u - 5*s = -13 - 17, u + 2*s - r = 0 for u.
-2
Suppose -40 = 2*f + 60. Let i be (40/2)/((-8)/(-20)). Let y = f + i. Solve -2*v = 3 + 7, 5*a - 2*v + 10 = y for a.
-4
Let l(h) = 2*h - 70. Let c be l(21). Let b = -21 - c. Solve 0 = -5*o + 2*v + 11 + 7, -b = -3*o + 5*v for o.
4
Suppose 0 = -5*g + 4*p - 60, 0 = -0*g - g + 3*p - 1. Let n = -1235 + 1255. Let o = n + g. Solve -7 - 13 = -o*j, 0 = c - 4*j + 21 for c.
-1
Suppose 0 = 4*d - 5*j - 42, -98*j + 97*j - 15 = -3*d. Solve -15 = 4*k + n, 4*k - 2*k + 11 = d*n for k.
-4
Let z(r) = -11*r + 72 - 122 + 4 - 16*r - r**2. Let y be z(-25). Solve -22 = -4*f - 2, -3*i = y*f - 11 for i.
-3
Let o be (-92)/(-6)*(-1 + (-30)/(-12)). Suppose 42 = -9*y + o*y. Solve -d = 3*f - 1, -3*d - 4 = -f + y*f for d.
-2
Let z = -4931 - -4936. Solve z*r - 2*t + 22 = -7, -r = t + 3 for r.
-5
Suppose 403 = 3*l + 391. Suppose l*x - x - 90 = 0. Solve -3*i + x = 5*s + 2*i, 5 = 2*s - 5*i for s.
5
Let f(p) = -7*p - 73. Let s be f(-11). Solve 0 = -3*a - 3, 2*a = z + s*a for z.
2
Let v(k) = k**3 - 2*k**2 - 3*k + 4. Let y = -546 + 549. Let x be v(y). Solve 0 = 5*q + 4*c - 8, -x*q - 4*c + 3*c + 2 = 0 for q.
0
Let t(p) = -2*p - 1. Let c be t(-2). Suppose 0 = -9*m + 87 + c. Let v be (-1)/(-3) + 20/75*m. Solve -5*b + 1 = i - v, -4*b + 6 = -2*i for i.
-1
Let s(o) = o**3 - o**2 + 3*o + 12. Let w be s(0). Let m be ((-21)/3 + -8 + w)*-1. Solve -4*v = -3*k - 4, 4 = m*k - v - v for k.
4
Suppose -460*b = -485*b. Solve -z + 4 - 1 = b, h = z + 1 for h.
4
Let h = -38 - -39. Suppose h = -2*r + r, -4*r = -3*z + 28. Suppose -2*s + 5*j + 4 = 0, 2*s + 2*s - z = 4*j. Solve -4*w + 5*b + 27 = -2*w, s*b + 7 = -3*w for w.
1
Let c(r) be the second derivative of r**4/6 + 5*r**3/6 - 7*r**2 - 88*r. Let n be c(2). Solve -n*w = 3*q - 3, -2*q + 5*w + 20 = -q for q.
5
Let s be 39/(-26)*(-50)/3. Let n = 39 - 28. Suppose -n = -3*i + 2*g, 0*g + g = -3*i + 17. Solve -3*f = i*a - 0*a - s, -4*a = -4*f + 12 for a.
2
Let o(g) = g**2 + 8*g + 9. Let x(p) = -p + 1. Let t(d) = o(d) + 2*x(d). Let y be t(-3). Solve -y*r + 6 = 3*k + r, 8 = -4*r for k.
4
Suppose -3*d + 5152 = 20*d. Let k = 224 - d. Solve 5*w + 3*o + 32 = k, -o - 2*o = 12 for w.
-4
Let w(b) = 65*b**2 + 3*b - 1. Let p be w(3). Let q = p - 587. Solve 0 = 4*k + 3*m - 2*m - 7, -2*m = 4*k - q for k.
2
Suppose 3*t - 2*l - 270 = -2*t, 2*t + 2*l = 94. Suppose -2*y - 11*y + t = 0. Solve -45 = -5*u - v - 4*v, 0 = 5*u - y*v for u.
4
Let w(f) = 11 - 20 - 8*f + 25 + f**2. Let n be w(6). Solve -3 = m + n*k, -8*m + 4*m = -4*k - 8 for m.
1
Let j = 182 + -180. Solve -20 = -4*a + 4*i, -4*i - 13 = -j*a + i for a.
4
Suppose -34 = -2*j - j - 5*o, -4*o + 8 = 0. Suppose -2*p = -g - 4, p + 2*g + j = 4*p. Suppose p = v - 5*v. Solve -w - 5*h + 3*h = 6, v = -5*w + 2*h - 6 for w.
-2
Let d be 415*7/((-175)/10). Let r = 178 + d. Solve -4*q + 27 = o + 5, 2*q - r = -o for q.
5
Let c(l) = -1427*l + 8564. Let n be c(6). Solve -5*y - n*f = -3 + 31, -5*y - 4*f - 26 = 0 for y.
-6
Suppose 190*q - 896 = 35*q - 293*q. Solve -4*t + 96*y = 100*y + 8, 14 = q*t - 4*y for t.
1
Let w = 2988 - 2985. Suppose 0 = 4*f - a - 9 - 10, -25 = -5*a. Suppose 0 = -4*z + 2*z + 4. Solve -3*o = w*j - 12, -4*o = j - f*j + z for o.
2
Let d(h) = 4*h + 39. Let f be d(-9). Suppose 0 = 3*s - f*s + 3*s. Suppose -5*a + 4 = -3*x - 9, s = 5*a - 2*x - 17. Solve k + a = 0, -2 = -4*v + 3*k + 33 for v.
5
Suppose 3*z + 3*z = 18. Let c(d) = -d**2 + 7*d - 5. Let b be c(z). Solve p + b = 2*i, 0 = -2*p - i - 1 + 12 for p.
3
Let j = -32297 + 32299. Solve 3*z = -2*t - 3*t + 35, 2*t - 18 = -j*z for t.
4
Let l(g) = 2*g**3 - 203*g**2 + 96*g + 507. Let c be l(101). Solve -20 = 93*d - 90*d - c*i, 2*d = -2*i for d.
-4
Suppose -4*y = -5*t - 400, 4*y + 11 = -9. Let n(w) = 26*w + 38. Let m be n(2). Let f = t + m. Solve 2*s - 4*d = -16, -3*s + f = -2*s + 5*d for s.
-4
Let v(h) = 3*h**2 - 2*h**2 + 9*h - 3*h - 11. Let t be v(-9). Solve p + 2*m + t = 4*p, -4*p + 3*m + 23 = 0 for p.
2
Suppose 3*v = 5*p + 1194, 14*v - 796 = 12*v + 2*p. Let i = -398 + v. Solve 2*s + r - 11 = 0, -s + i*s + 2*r = -3 for s.
5
Let v be 0/(-2*(-1)/2). Let u be 3/(-6)*0 + v. Suppose 5*r + u*r = 25. Solve -5 = r*o - 5*q, 0 = 5*o + 3*q - 2*q + 11 for o.
-2
Let f be 7/2*(-572)/(-1001). Solve -2*w + 3*w = 3*h - 5, 0 = 4*h - f*w - 8 for h.
1
Let n(j) = 985*j + 5914. Let p be n(-6). Solve 2*k + 8 = 4*m, -p*k = 5*m - 0 + 3 for k.
-2
Let n be -1 + 19/1 - -1. Let d(i) = 30*i**3 - i**2 + 3*i - 2. Let u be d(1). Suppose u*a = 29*a + 4. Solve j = -2*l + 12, a*j - 2 = 5*l - n for j.
2
Let s(g) = -g**3 + 26*g**2 - 25*g + 4. Let x be s(25). Suppose -2*j = -x*j + 16. Solve 4*h + 4*c + j = 2*c, -2*h = -2*c - 8 for h.
0
Suppose 6*m - 9*m + 12 = 0. Suppose 8*k - 12 = -m*k. Solve -3*b - n - k = -0, -4*b = -2*n - 2 for b.
0
Let v be ((-1050)/(-15))/10 + -3. Solve 0 = -3*s + 4*u - 19, 3*s = -5*u + 21 - v for s.
-1
Let v(i) = i**2 + 29*i + 59. Let q be v(-27). Suppose 0 = -3*b - 6*b + 54. Suppose r + 25 = b*r. Solve 0*a + r*l = 2*a + 24, -q*l + 14 = 3*a for a.
-2
Let t(u) = 10*u + 47. Let c be t(-33). Let j = 283 + c. Solve b - a + 0 = -1, j = -b - a - 7 for b.
-4
Suppose 2400 = 131*f - 744. Solve 3*l = 8*l + m - f, 3*l - 13 = -2*m for l.
5
Let q(b) = -b**3 + 8*b**2 + 10*b - 3. Let y be q(9). Let w = 10 - y. Let n = -2575 - -2575. Solve n = -l - 4*r + 13, 4*r + 1 = w*l + 29 for l.
-3
Suppose 8*i = 15 + 1. Suppose -973 = 3*j - 985. Solve -2*a + 11 = -2*q + 3, a = i*q + j for a.
4
Let r(k) = 100*k**2 - k + 1. Let q be r(1). Suppose q*i + 4 = 101*i. Solve -b + 4*p = -i*b - 23, -3*p - 15 = 0 for b.
-1
Let w(l) = 101*l - 198. Let j be w(2). Suppose -4*s = 4 - 12. Solve 4*o + 3*t = -6, -s*o - t + j*t + 6 = 0 for o.
0
Let o be 57/38*(32/6 + -2). Suppose 3*b - 25 = -o*v, 17*v - 12*v = -2*b + 25. Solve 3*c = -5*y - c - 12, -15 = 5*y + v*c for y.
0
Suppose 3*p = -3*m + 396, 4*m + 532 = 4*p + 6*m. Let l = -123 + p. Solve -4*f - 4*s + 12 = 0, 5*f + l = 2*s - 9 for f.
-2
Suppose -31*v = 13 - 106. Suppose 4*t + 16 = 0, v*t = -2*o + 3 + 3. Solve -2*l - l = -4*n + o, -4*n - 3*l + 15 = 0 for n.
3
Let z(w) = 19*w**2 - 1276 - 12*w + w**3 + 0*w**3 + 1052. Let s be z(-19). Solve s*f - 19 = f + 5*y, -f - 5 = 4*y for f.
3
Suppose 2*b - 57 = -5*k, -2*b - 20 = -k + 1. Suppose 7*j = k*j + 36*j. Let a be -3 - -2 - 2*-4. Solve -h + 2*y + 0 = -a, -3*h - 4*y + 1 = j for h.
3
Let f be -5 + (1/(-2))/(1/(-38)). Let t = f + -1. Solve -5*w = -l - 19, 4*l - 5*w + t = -18 for l.
-4
Suppose -3*y = s - 8, 0 = -2*s + 17*y - 14*y - 2. Solve o + 25 = -4*o, s*o = h - 11 for h.
1
Suppose -2*w + s + 7 = 0, -3 = -3*w + 2*s + 9. Let i = 340 + -335. Suppose 5*y - y + 5*d = 37, y + i*d = 28. Solve w*c = -u, -c - y*u = 2*u + 18 for c.
2
Suppose -2*a = 2*k - 97 - 59, 3*k - 228 = -5*a. Let u = -75 + k. Su
|
{
"pile_set_name": "DM Mathematics"
}
|
5*m(f).
14*f**3 + 16
Let g(r) = 10*r**3 - 5*r**2 - 14*r + 10. Let m(l) = -l**3 + l**2 + l - 2. Determine -g(j) - 5*m(j).
-5*j**3 + 9*j
Let j(u) = -23*u**2 - 48*u. Let t(m) = -11*m**2 - 24*m. Determine 2*j(c) - 5*t(c).
9*c**2 + 24*c
Let p(n) = -n + 1. Let d(c) = 14*c - 30. Let j(g) = -27*g + 56. Let s(a) = -7*d(a) - 4*j(a). Determine 12*p(k) + s(k).
-2*k - 2
Let m(b) = -5*b - 3. Let g be m(-2). Let x be (-4)/(1/(6/12)*1). Let o(d) = 10*d**3 - 10*d**2 - 1. Let w(j) = 3*j**3 - 3*j**2. What is g*w(i) + x*o(i)?
i**3 - i**2 + 2
Let z(y) = -20 + y + 3 + 17. Let d(b) = b**3 - 4*b**2 - 6*b + 7. Let a be d(5). Let s(q) = 2*q - 2*q - 3*q - a. Determine -s(c) - 2*z(c).
c + 2
Let b(m) = -2*m**2 - 4*m + 5. Let u(i) be the first derivative of -2*i**3/3 - 5*i**2/2 + 6*i - 27. What is -6*b(x) + 5*u(x)?
2*x**2 - x
Let z(b) = 27 - 16 - 10. Let w(k) = -2*k - 5. Let d = 0 - 1. Let r(l) = d*w(l) - 6*z(l). Let g(u) = 2*u - 1. Calculate -4*g(j) + 3*r(j).
-2*j + 1
Let p(g) = 8*g**3 + 9*g**2 + 15*g + 50. Let v(h) = 7*h**3 + 8*h**2 + 13*h + 51. Determine -6*p(j) + 7*v(j).
j**3 + 2*j**2 + j + 57
Let s = 2 + 3. Let d(w) = -w + 9. Let f be d(s). Let y(c) = 4*c + 0*c - 7 + f*c + 15 - 6*c**2. Let t(l) = 4*l**2 - 5*l - 5. Determine 8*t(j) + 5*y(j).
2*j**2
Let c be 718/14 - (-2)/(-7). Let q(o) = -3*o**2 - 22*o**2 - 2728*o - 4 + 2728*o - 13. Let j(t) = 3*t**2 + 2. What is c*j(i) + 6*q(i)?
3*i**2
Suppose -5*x + 21 = -3*v, -v + 5 + 5 = 4*x. Let k(q) = -3 + 3 - x + 2. Let t(f) = -f - 1. Give -k(u) + t(u).
-u
Suppose -5*g + 2*t - 12 = -0*t, 24 = -g - 5*t. Let c(v) = 6*v + 1. Let m(p) = 2*p - 13*p + 7*p + 3*p. Give g*m(r) - c(r).
-2*r - 1
Let s(o) = -75*o**2 - 51. Let m(x) be the second derivative of x**4/4 + x**2 + 508*x. What is -153*m(j) - 6*s(j)?
-9*j**2
Let t(f) = -f**2 + 1. Let k(n) = -4*n**2 + 9*n + 11. Determine k(o) - 6*t(o).
2*o**2 + 9*o + 5
Let g = 1176 + -1181. Let m(w) = -2*w**2 + 4*w. Let h(j) = 2*j**2 + 4*j**2 - 3*j**2 - 5*j - j**2. Calculate g*m(l) - 4*h(l).
2*l**2
Let v = -178 + 183. Let b(j) = -j**3 + 7*j - 4. Let x(o) = o**3 - 8*o + 5. What is v*b(i) + 4*x(i)?
-i**3 + 3*i
Let v(w) be the first derivative of w + 2/3*w**3 + 1/2*w**2 + 3. Let r(n) be the first derivative of n**4/4 - n**2/2 - n + 44. What is r(b) + v(b)?
b**3 + 2*b**2
Let h(s) = 2*s + 1. Let a(t) = 7*t + 16. Determine -a(o) + 5*h(o).
3*o - 11
Let w(r) = r**2. Let a(l) = -5*l**2 + 34*l + 1. Calculate a(f) + 3*w(f).
-2*f**2 + 34*f + 1
Let i(q) be the second derivative of -q**5/5 + 5*q**4/12 - 5*q**3/6 - 5*q**2/2 + 93*q - 1. Let k(j) = -2*j**3 + 2*j**2 - 2*j - 2. What is -2*i(c) + 5*k(c)?
-2*c**3
Let x(v) = v**2 - 1. Let o(q) = -6*q**2 - 12*q + 14. Calculate o(r) + 8*x(r).
2*r**2 - 12*r + 6
Let q(i) = 200*i - 2. Let y(r) = 3*r - 1. What is -q(h) + 2*y(h)?
-194*h
Let c(x) = 190*x**3 + 4*x**2 - 4. Let m(v) = -381*v**3 - 7*v**2 + 7. Determine -7*c(y) - 4*m(y).
194*y**3
Let r(l) = l - 2. Suppose -8*c = -3*c - 15. Let q = c + -5. Let h(k) = 3. Calculate q*h(z) - 3*r(z).
-3*z
Let f(q) = q + 1. Let r(b) = -999*b**2 - 2*b - 4. What is 2*f(p) + r(p)?
-999*p**2 - 2
Let q(g) = -5*g - 41. Let s(z) = -2*z + 1. Give q(x) - 2*s(x).
-x - 43
Let p(g) = -g**2 + 2*g - 1. Let j(y) = -y**2 + 2*y - 2. Determine -4*j(s) + 5*p(s).
-s**2 + 2*s + 3
Let n(s) = -s - 8. Suppose 32 = -3*k + k. Let p = k - -7. Let f be n(p). Let h(m) = m**2 + 1. Let j(z) = z**2 + z + 2. Calculate f*j(a) - 3*h(a).
-2*a**2 + a - 1
Let i(b) = -2*b - 5. Let t be (-15)/3*68/10. Let h be t/(-9) + 2/9. Let a(w) = 4 - 10 + 2*w + 12. What is h*a(l) + 5*i(l)?
-2*l - 1
Let q(o) = 3*o + 6. Let k(t) = t**3 + t**2 - 3*t + 3. Let b be (-4)/(1 + 3) + -2. Let s be k(b). Let x(r) = 6*r + 11. Give s*x(j) + 11*q(j).
-3*j
Let t(c) = -2*c**2 + 2*c. Let i(k) = k**2 - k. Let z(u) = -2*u**2 - 4*u + 11. Let a be z(-4). Calculate a*i(s) - 3*t(s).
s**2 - s
Suppose 154*p - 146*p = 48. Suppose -k + 6*k = 55. Let i(r) = 4*r**3 - 13*r**2 + 11*r - 11. Let t(d) = -2*d**3 + 7*d**2 - 6*d + 6. What is k*t(w) + p*i(w)?
2*w**3 - w**2
Let f be 4*(-39)/(-2)*5/2. Let q be (-6)/(-27) + f/(-27). Let s(c) = 2*c**3 - 7*c**2 - 5. Let y(x) = -x**3 + 3*x**2 + 2. Determine q*y(u) - 3*s(u).
u**3 + 1
Suppose -5*f = g - 20, 5*f + 4*g = f + 16. Let d(i) = 4*i**3 + 4*i + f*i - 4 - 6*i. Let j(w) = 7*w**3 + 3*w - 7. Determine 10*d(q) - 6*j(q).
-2*q**3 + 2*q + 2
Let h(r) = 4*r**2 - 3*r + 2. Suppose -12 + 0 = -6*w. Let v be w*3*3/6. Let t(a) = -3*a**2 + 2*a - 2. Calculate v*t(o) + 2*h(o).
-o**2 - 2
Let r(z) = z + 1. Let y(l) = -6 - 6 + 2 - 5*l + 4. Let b = 1057 - 1061. Determine b*y(p) - 22*r(p).
-2*p + 2
Let f(k) = 4*k**2 - 5. Let t(u) = -u**2 + 15*u - 65. Let r be t(5). Let m(w) = w**2 - 1. Calculate r*m(n) + 3*f(n).
-3*n**2
Let n(k) = 3408*k**3 + 72*k**2. Let b(q) = 235*q**3 + 5*q**2. What is -72*b(d) + 5*n(d)?
120*d**3
Let q(d) = 10*d**2 + 260*d. Let l(x) = 22*x**2 + 520*x. Determine 6*l(j) - 13*q(j).
2*j**2 - 260*j
Let q(d) = -37*d. Let b(p) = 18*p - 1. Determine 5*b(t) + 2*q(t).
16*t - 5
Let p(h) be the third derivative of 0 - 1/10*h**5 + 7/6*h**3 + 0*h - 1/6*h**4 + 28*h**2. Let y(q) = -5*q**2 - 3*q + 6. What is 6*p(d) - 7*y(d)?
-d**2 - 3*d
Let a(r) be the second derivative of 0 + 43*r - 3/2*r**2 - 2/3*r**3. Let k(g) = -3 - 2 - g + 4. Calculate a(o) - 2*k(o).
-2*o - 1
Let y(b) = -b**2 + b - 1. Let n = 427 - 423. Let q(g) = -5*g**2 + 8*g - 4. Calculate n*y(k) - q(k).
k**2 - 4*k
Let u(d) = 2*d. Let r(q) = -q. Let w(j) = -5*j - 1 - 1 + 4*j. Let b be w(3). Let c = -32 + 29. Determine b*r(n) + c*u(n).
-n
Let f = 27 - 9. Let x = -16 + f. Let i(v) be the first derivative of v**3 - v**2 + 2*v - 5. Let g(k) = 21*k**2 - 15*k + 15. Determine x*g(b) - 15*i(b).
-3*b**2
Let q(m) = 6*m + 2. Suppose 3*c = 2*a + 5, -c - a + 7 = a. Let u(y) = y - c*y + 2*y - y. Let o(i) = 2*i - 1. Let f be o(0). Determine f*q(x) - 5*u(x).
-x - 2
Let j be 0 - (4/1 + -2). Let s be (-16)/(-2)*1/j. Let d(v) be the second derivative of -v**4/6 + v**2/2 + 1079*v. Let a(u) = 3*u**2 - 2. Give s*a(g) - 7*d(g).
2*g**2 + 1
Suppose -12*l + 6 = -13*l. Let m = -26 - -21. Let p(j) = j + 4. Let v(g) = -g - 5. Determine l*p(b) + m*v(b).
-b + 1
Suppose 43*d - 19 - 130 + 20 = 0. Let z(i) be the first derivative of 2*i**2 - 2. Let h(p) = -9*p - 1. Determine d*h(v) + 7*z(v).
v - 3
Let c(k) be the third derivative of k**5/20 - 5*k**4/24 + k**3/6 + 238*k**2. Let s(o) = 2*o - 2*o + o - o**2. Calculate -c(x) - 5*s(x).
2*x**2 - 1
Let z(j) = j. Let d = 81 - 76. Let g be (d - 10) + 3/(-3). Let u(p) = 1 - 1 - 8*p. What is g*u(q) - 51*z(q)?
-3*q
Let a(x) = -2*x**2 - 3*x. Let q = 447 + -442. Let k(l) = l. Calculate q*k(r) + a(r).
-2*r**2 + 2*r
Suppose -280 = m - 283. Let f(y) be the first derivative of 3/4*y**4 + 7/2*y**2 + 3 - y**m + 0*y. Let r(b) = -b**3 + b**2 - 3*b. Calculate 2*f(c) + 5*r(c).
c**3 - c**2 - c
Let q(l) = -10*l - 676. Let a(j) = 3*j + 224. What is 14*a(x) + 4*q(x)?
2*x + 432
Let f(v) = 2*v - 1. Let y be (-1)/(-2) + 3/(-2). Let h(n) = -n. Let l = -24 - -26. Suppose 5*q + 12 = -2*c, l*q + 28 = -q + 4*c. Calculate q*h(p) + y*f(p).
2*p + 1
Let t(u) = -441*u. Let v(f) be the third derivative of 3*f**4/8 - 333*f**2. Give -4*t(d) - 198*v(d).
-18*d
Let m(d) = -16*d**2 + 9*d + 18. Let l(y) = 4*y**2 - 2*y - 4. Determine -26*l(h) - 6*m(h).
-8*h**2 - 2*h - 4
Let k(v) = -2*v - 3. Let r(q) = -6*q - 8. Let d(n) = n**2 - 1. Let f be d(3). Suppose 8 = -2*w + 2. Determine f*k(i) + w*r(i).
2*i
Let n(w) = 4*w + 3. Let j(q) be the second derivative of 2*q**3/3 + q**2 + 7*q + 1. Suppose -8 = -k - k. Determine k*j(i) - 3*n(i).
4*i - 1
Let q(o) = -2*o**3 + 2*o**2 - 2*o. Let z(v) = -4*v**3 + 4*v**2 - 5*v + 1. Suppose 2*y + 4*i + 16 = 0, 11 = -2*y - 67*i + 64*i. What is y*z(u) - 5*q(u)?
2*u**3 - 2*u**2 + 2
Let u(o) = -2*o**3 + o**2 + 4*o - 6. Let k(y) = -y**2 + 1. Give -4*k(m) - u(m).
2*m**3 + 3*m**2 - 4*m + 2
Let i(j) = -114*j - 76. Let f(x) = -2*x - 1. Determine 76*f(c) - i(c).
-38*c
Let w(j) = -12*j + 3. Let c(z) = 6*z - 1. Let f(n) = 7*c(n) + 4*w(n). Let q(u) = u**2 - 7*u - 10. Let d be q(8). Let y(r) = 3*r - 2. Give d*f(o) - 5*y(o).
-3*o
Let l(d) = -63*d**3. Let u(c) = -31*c**3. Determine -6*l(g) + 15*u(g).
-87*g**3
Let y(r) = -5*r - 1. Let j be 55/(-33) + 1/(-3). Let p(a) = 2 + 6*a - 4 + 0 + 3. Give j*p(o) - 3*y(o).
3*o + 1
Let z(k) = 4*k**3 + 5*k**2 - 3*k - 4. Le
|
{
"pile_set_name": "DM Mathematics"
}
|
1, r: 2, n: 1, f: 2}.
1/15
Calculate prob of picking 2 j, 1 g, and 1 b when four letters picked without replacement from ndndgjnbdnbbsjbdggnn.
4/1615
Three letters picked without replacement from nmomnmonnmmm. Give prob of picking 1 m and 2 o.
3/110
Calculate prob of picking 1 o and 1 r when two letters picked without replacement from wrzzwwwwoozwwwovo.
1/34
What is prob of picking 1 w and 1 i when two letters picked without replacement from ikkkkkkikkkwikkk?
1/40
Two letters picked without replacement from {z: 1, m: 1, x: 2, r: 1, p: 2}. Give prob of picking 1 p and 1 x.
4/21
What is prob of picking 2 u and 1 a when three letters picked without replacement from {p: 1, u: 3, a: 5, g: 6}?
3/91
Two letters picked without replacement from mjmmmjjmmmjjd. What is prob of picking 2 m?
7/26
Three letters picked without replacement from eccceccceeeccceccc. What is prob of picking 3 e?
5/204
Four letters picked without replacement from yyyyyyyzzyyy. What is prob of picking 2 y and 2 z?
1/11
Two letters picked without replacement from bbmv. Give prob of picking 1 b and 1 m.
1/3
Calculate prob of picking 1 x and 1 d when two letters picked without replacement from {x: 1, t: 2, d: 1, g: 1, y: 2, i: 1}.
1/28
What is prob of picking 1 b and 1 x when two letters picked without replacement from {b: 2, x: 4}?
8/15
Calculate prob of picking 1 j and 3 p when four letters picked without replacement from pepwjjeepjpejjwewwpj.
4/323
Calculate prob of picking 1 w and 2 o when three letters picked without replacement from {w: 2, o: 6}.
15/28
Three letters picked without replacement from {k: 1, i: 1, a: 2, t: 1, c: 1, x: 2}. What is prob of picking 1 t, 1 x, and 1 a?
1/14
Calculate prob of picking 1 j, 1 i, 1 d, and 1 o when four letters picked without replacement from tgijgod.
1/35
Two letters picked without replacement from qvvvq. What is prob of picking 1 q and 1 v?
3/5
Calculate prob of picking 2 r and 1 q when three letters picked without replacement from qprxprp.
1/35
Two letters picked without replacement from {e: 7, d: 8, v: 1, y: 1}. What is prob of picking 1 y and 1 e?
7/136
Two letters picked without replacement from ooggogggogog. What is prob of picking 2 o?
5/33
Three letters picked without replacement from {y: 1, x: 2, a: 2, n: 1, t: 1, w: 7}. What is prob of picking 1 y and 2 a?
1/364
Calculate prob of picking 4 e when four letters picked without replacement from {e: 11, a: 2}.
6/13
What is prob of picking 2 t when two letters picked without replacement from {t: 10}?
1
Calculate prob of picking 2 t and 2 p when four letters picked without replacement from {p: 3, t: 4, j: 1, f: 12}.
6/1615
Three letters picked without replacement from hhhahhssaashpsaa. What is prob of picking 2 h and 1 s?
3/28
Calculate prob of picking 1 t and 1 s when two letters picked without replacement from ttttttttttttstttttt.
2/19
What is prob of picking 1 q and 2 j when three letters picked without replacement from {o: 7, q: 1, j: 1}?
0
Three letters picked without replacement from eelll. What is prob of picking 3 l?
1/10
What is prob of picking 2 t and 1 r when three letters picked without replacement from trrrrrrrtrr?
3/55
What is prob of picking 1 j, 1 h, and 1 b when three letters picked without replacement from bbbhrjbbbqbbbhbb?
11/280
What is prob of picking 3 w when three letters picked without replacement from twdtwtwtwwd?
2/33
Three letters picked without replacement from {z: 2, y: 5, b: 3, n: 5, j: 1, x: 4}. What is prob of picking 2 x and 1 y?
1/38
What is prob of picking 1 s, 2 j, and 1 v when four letters picked without replacement from jvdssjj?
6/35
Three letters picked without replacement from {c: 1, k: 12}. Give prob of picking 3 k.
10/13
Four letters picked without replacement from {q: 1, t: 1, a: 1, h: 1, u: 2, g: 1}. Give prob of picking 1 a, 1 q, and 2 u.
1/35
Three letters picked without replacement from {y: 1, v: 1, o: 2, w: 2}. What is prob of picking 2 w and 1 y?
1/20
Calculate prob of picking 1 v and 2 l when three letters picked without replacement from vcvll.
1/5
Three letters picked without replacement from {i: 2, r: 12, n: 2, h: 2}. Give prob of picking 1 i and 2 n.
1/408
Four letters picked without replacement from {n: 2, f: 3, y: 1, b: 5, x: 1}. What is prob of picking 3 f and 1 b?
1/99
What is prob of picking 2 r, 1 s, and 1 x when four letters picked without replacement from {x: 1, g: 1, h: 2, r: 12, o: 2, s: 2}?
44/1615
Three letters picked without replacement from {h: 6, a: 4, e: 5}. Give prob of picking 2 h and 1 a.
12/91
Three letters picked without replacement from deeeeeeede. What is prob of picking 3 e?
7/15
Two letters picked without replacement from {c: 2, n: 3}. Give prob of picking 2 n.
3/10
Four letters picked without replacement from vekdmqvmeqqe. Give prob of picking 1 e, 1 q, 1 d, and 1 k.
1/55
Four letters picked without replacement from wwuwwwuuwu. Give prob of picking 4 w.
1/14
Three letters picked without replacement from {s: 12, d: 6}. Give prob of picking 2 s and 1 d.
33/68
Three letters picked without replacement from {f: 2, o: 1, c: 1, u: 1}. Give prob of picking 1 f, 1 u, and 1 o.
1/5
Calculate prob of picking 1 c and 2 i when three letters picked without replacement from iiqdqcqqicd.
2/55
Calculate prob of picking 4 n when four letters picked without replacement from cncnccncnncnn.
7/143
What is prob of picking 1 p and 3 t when four letters picked without replacement from ttppppttttttp?
56/143
Two letters picked without replacement from {x: 7, h: 5, z: 5, s: 2}. What is prob of picking 1 h and 1 z?
25/171
Two letters picked without replacement from {n: 2, o: 7, u: 7}. Give prob of picking 1 u and 1 o.
49/120
Four letters picked without replacement from {x: 5, h: 5}. Give prob of picking 4 x.
1/42
What is prob of picking 1 z and 2 a when three letters picked without replacement from {z: 5, a: 3}?
15/56
Two letters picked without replacement from {g: 3, i: 5, c: 3, r: 1}. What is prob of picking 1 g and 1 c?
3/22
Four letters picked without replacement from {l: 6, m: 3, u: 5, y: 1, j: 3}. What is prob of picking 2 j and 2 y?
0
Calculate prob of picking 2 h and 1 i when three letters picked without replacement from cqcqhichkikikcc.
3/455
Two letters picked without replacement from {h: 2, g: 2, a: 3, w: 2, q: 4, b: 2}. What is prob of picking 1 q and 1 b?
8/105
Two letters picked without replacement from {i: 4, s: 1, q: 3}. Give prob of picking 2 i.
3/14
Calculate prob of picking 1 y and 1 m when two letters picked without replacement from ymmm.
1/2
Three letters picked without replacement from {p: 3, n: 5, o: 2}. Give prob of picking 2 o and 1 p.
1/40
Two letters picked without replacement from {x: 3, u: 1, m: 3, y: 4, c: 2, r: 4}. What is prob of picking 1 m and 1 r?
3/34
Two letters picked without replacement from {g: 1, o: 7, h: 2}. Give prob of picking 1 g and 1 h.
2/45
Calculate prob of picking 1 l and 1 n when two letters picked without replacement from eelenleelnl.
8/55
Three letters picked without replacement from zkbebpzzbppbpbbb. What is prob of picking 2 z and 1 p?
3/140
What is prob of picking 2 a when two letters picked without replacement from abaabbcbb?
1/12
Four letters picked without replacement from ucuucuuuuccuucuccuu. What is prob of picking 3 u and 1 c?
385/969
Two letters picked without replacement from azvviiivkkizvvkv. Give prob of picking 1 z and 1 i.
1/15
What is prob of picking 3 f and 1 v when four letters picked without replacement from ffamhfffmhvhfvmavv?
4/153
Four letters picked without replacement from kkccckkk. Give prob of picking 2 c and 2 k.
3/7
Four letters picked without replacement from {k: 2, j: 6, l: 2, x: 1}. What is prob of picking 1 k and 3 j?
4/33
Two letters picked without replacement from {c: 10}. What is prob of picking 2 c?
1
Four letters picked without replacement from {n: 1, i: 3, w: 3, h: 3}. What is prob of picking 3 i and 1 n?
1/210
Three letters picked without replacement from {z: 5, p: 7, c: 4}. Give prob of picking 1 p, 1 z, and 1 c.
1/4
Four letters picked without replacement from eeueuuhueuuueeeeee. What is prob of picking 1 e, 2 u, and 1 h?
7/102
Calculate prob of picking 1 i and 1 h when two letters picked without replacement from ndohhdisi.
1/9
What is prob
|
{
"pile_set_name": "DM Mathematics"
}
|
3*c**4 + 2*c**4 to r*c**4 + n*c**3 + k + w*c**2 + y*c and give r.
-3
Rearrange (-n - 3*n + 0*n)*(-17 - 19 - 29) to the form d + y*n and give y.
260
Rearrange 11*r**4 - 15 + 15 + (-2*r**2 + r**2 - r**2)*(-2*r**2 - 1 + 1) to the form c*r**4 + b*r + w + d*r**2 + o*r**3 and give c.
15
Express (-10*i - 16 + 16)*(-2 - 3 + 3)*(-3 + 2 + 4) as t*i + c and give t.
60
Express 3*b**3 + 0*b**3 - 5*b**3 + (b**2 - b**2 + 2*b**3)*(-5 - 9 + 1) as d*b**2 + h + v*b + u*b**3 and give u.
-28
Rearrange (6*v**2 + 2*v**2 - 3*v**2)*(-v + v + 3*v) + (5 + 2*v**2 - 5)*(-2 + v + 2) + 0*v**2 + 0*v**2 - v**3 to b*v**3 + s*v + o + p*v**2 and give b.
16
Rearrange (-3*f + 2*f - f)*(2*f - f - 2*f)*(1 - 3 - 2) to the form j*f + g + q*f**2 and give q.
-8
Rearrange -x**3 + 257*x**2 - 2*x**4 - 257*x**2 + 2 to t + n*x**4 + r*x**3 + u*x + g*x**2 and give t.
2
Rearrange -400*a**2 + a + 2*a**3 + 404*a**2 - a to the form i*a**3 + y + j*a**2 + f*a and give i.
2
Express (d**2 + 2*d**2 - 2*d**2)*(19*d + 4179 - 4179) as j*d + k + r*d**3 + b*d**2 and give r.
19
Rearrange (-2*t + 4*t**2 - 5*t**3 + 3*t + 0*t)*(-4*t + 4*t - 2*t) to the form x*t**3 + f + z*t**4 + a*t**2 + v*t and give a.
-2
Express 23*t**2 + 114 + 23*t**2 - 45*t**2 in the form a*t + y + h*t**2 and give y.
114
Express -1059*t + t**2 - 1 + 3*t**2 + 1079*t - 2*t**2 as a + d*t + y*t**2 and give a.
-1
Rearrange -1806 - 22*d - d**2 + 1806 - d**2 - 2*d**2 + d**2 - 5*d**2 + d**2 + 3*d**2 + (d**2 - 4*d + 4*d)*(3 - 5 + 1) to s*d**2 + m + w*d and give s.
-5
Rearrange 9 - 7 + 0*q - 13*q + q**2 to g*q**2 + r*q + l and give g.
1
Rearrange -f**2 - 2*f**2 + f**2 + (-2 - 5 + 6)*(0*f + 5*f + 0*f)*(-4*f + 0*f + 3*f) to d + q*f**2 + r*f and give q.
3
Rearrange (-4*a - a - 2*a)*(-a**3 - 4*a**3 + 3*a**3) - 2*a**4 + 0*a**4 + 0*a**4 to the form j*a + y*a**2 + p*a**3 + i + f*a**4 and give f.
12
Rearrange (-3 - 3 - 2)*(-4*w + 4*w - 3*w**4) to c*w**2 + r + d*w**3 + m*w**4 + f*w and give r.
0
Express -3*t**2 + t + t**3 + 4*t**4 + 13*t**2 - 9*t**2 + 1 as l*t**3 + g + w*t**2 + v*t + i*t**4 and give g.
1
Express -189*l**3 + 189*l**3 + 2*l - 2*l**4 + 3 as k + g*l**3 + b*l + a*l**2 + z*l**4 and give g.
0
Express (2*v**3 - 3*v + 3*v)*(-33*v - 79 + 79 + (2 - 1 - 2)*(3*v + 4 - 4) - v + 2 - 2) in the form f*v**2 + n + b*v**4 + l*v + a*v**3 and give b.
-74
Express (f - 1 + 1)*(-f + 2 + 3 - 2) + 4*f**2 + 6*f**2 + 3*f**2 as t*f**2 + v + b*f and give t.
12
Rearrange 3 - 3 - 1 - 3*h**4 - 2*h**3 to the form y*h**2 + p*h**3 + w*h + f*h**4 + i and give i.
-1
Express (2*q + 2*q - q)*(-3*q + 2*q + 2*q + (1 + 0 + 0)*(2*q + 3 - 3) + 2*q + 2 - 2)*(16 - 21*q**2 - 16) as g*q + p*q**3 + v + h*q**4 + d*q**2 and give h.
-315
Rearrange 3*o**2 - 9*o**2 - 7*o**2 to the form v + g*o + x*o**2 and give x.
-13
Express (-4 - 4 + 5)*(2*k**3 - 3*k**3 + 5*k**3) + (-2*k - k + 4*k)*(-2*k**2 + 2*k**2 + k**2) + 2*k**3 - 4 + 4 as z*k + w + c*k**2 + r*k**3 and give r.
-9
Express (-7*n - 18 + 18)*(-3 + 2 - 1) in the form l*n + c and give l.
14
Express n**3 + 39 + 34 - 2*n**2 + 39 - n**4 - 111 - 3*n as d*n**4 + v*n + b*n**2 + q + p*n**3 and give b.
-2
Express (19*m**3 - 307*m + 307*m)*(-7*m + 0*m + 0*m) as h*m**2 + x*m + f*m**4 + i*m**3 + r and give f.
-133
Express (6 + 16 - 3)*(-3*h - h + 2*h) - 5 + 3 + 3 - h in the form b*h + v and give b.
-39
Express 9*v - 9*v - v**3 + 9 in the form r + h*v + w*v**3 + f*v**2 and give w.
-1
Express (3*f - f + f)*(1 - 2 - 5)*(2 - 2*f - 2)*(-4 + 1 + 0)*(-4 - 4 + 5) in the form d*f**2 + q*f + a and give d.
324
Express (-1 + 1 + 2)*(-6*l + 2*l - 6*l) - 4*l + 0*l + 0*l in the form m + o*l and give o.
-24
Express -2 - h**3 + 2 + 77*h - 77*h + 9*h**3 + h**3 + 4*h**3 - 4*h**3 + (2 + 1 - 2)*(-h**3 - h**3 + 0*h**3) in the form m*h**3 + y + w*h**2 + f*h and give m.
7
Express 4*v - 9*v**2 + 2*v**2 - 4*v in the form h*v + q*v**2 + n and give q.
-7
Express w + 2 + w - 3*w in the form t + f*w and give f.
-1
Rearrange 5*b - 28*b - 10*b to s*b + k and give s.
-33
Express 0*u + u + 0*u + (-4 + 0 + 5)*(-5*u + 2*u + u) + 0 - 5*u + 0 + (u + 2*u - 2*u)*(3 - 4 + 2) + (u + 5*u - 5*u)*(9 - 5 - 7) in the form f + r*u and give r.
-8
Express -14*h + 48*h + 6*h**2 - h**2 - 3*h**2 as x*h**2 + l + m*h and give x.
2
Express (5 - 2 - 1)*(0*d - d - d) - 3*d - 4*d - d + (-1 + 2 - 3)*(0*d + 0*d + 2*d) + 1 - 1 + d in the form v*d + g and give g.
0
Express ((-3 + 7 - 3)*(3*o**2 + 0*o**2 + 0*o**2) - 3*o**2 + 6*o**2 - 2*o**2)*(-1 + 2*o + 1) in the form i*o + f*o**2 + w*o**3 + q and give w.
8
Express (-2*w - w**2 + 2*w)*(-w**2 + 2*w - 2*w) + 4*w**4 - 48*w**4 - 108*w**4 as a*w + k*w**4 + o*w**2 + h + c*w**3 and give k.
-151
Express f**3 + 2*f**2 + 10*f**3 - f + 42*f**3 as j*f**3 + q + x*f**2 + t*f and give x.
2
Express (-5*s + 2*s + 4*s + (7 - 2 - 1)*(s - 2*s - s))*(2*s - s + 2*s) as t*s**2 + q + v*s and give t.
-21
Rearrange -774*v + 774*v + 37 - v**2 to u + i*v**2 + y*v and give i.
-1
Express 29*a - 39 + 39 in the form s + o*a and give o.
29
Rearrange -1 - 5*w**3 - w - 3*w**3 + 2*w + 5*w**3 + 2*w**2 to z*w**3 + u + a*w**2 + y*w and give y.
1
Rearrange 3*s + 6*s**2 - 9*s**2 + 4*s**2 + 3*s**4 - 2*s**4 to the form d*s**4 + b*s**3 + o*s + w + r*s**2 and give d.
1
Express (2*u + 3*u - 4*u)*(-3*u**3 + 0*u**3 + 4*u**3) - 10*u**4 + u**2 + 2*u**4 + 0*u**2 in the form k*u**3 + o*u**2 + v*u + a + z*u**4 and give z.
-7
Express (a**3 - a**3 - 2*a**3)*(253 - 506 + 2*a + 254) in the form s*a**3 + i*a + r + t*a**4 + f*a**2 and give t.
-4
Express -6 + 6 + 5*n**2 + 13*n**2 in the form b*n + d + i*n**2 and give i.
18
Rearrange (0 + 2 - 1)*(-3*b - 2*b + 3*b - 3*b + b + 4*b + (-b - 3*b + 2*b)*(1 + 2 - 5) + 1 - 1 + 2*b - 1 - b + 1 + 0*b - b + 4*b) to w*b + d and give w.
8
Express 0 - 4 + 2 - 4*b**3 + 2*b - 4*b in the form p*b**3 + v*b**2 + h + f*b and give h.
-2
Express 13*j + 3*j - j in the form x + q*j and give q.
15
Express 2*h**2 - 1 - h**3 + 0 + 0*h**2 + h as t*h + x + y*h**2 + i*h**3 and give y.
2
Rearrange -14 - 6 + 5*k + 20 to the form a + v*k and give v.
5
Express -7*x**2 + x**2 - 2*x**2 + 0*x**2 - 3*x**2 + 2*x**2 + (2*x - 5*x + 5*x)*(4*x - x - 2*x) in the form z + y*x**2 + j*x and give y.
-7
Express t - 3*t + 15*t as n + f*t and give f.
13
Express -2*i - 3*i - 5*i - i in the form m + s*i and give s.
-11
Rearrange -94*h - 3*h**2 - h**2 + 95*h + (1 - h**2 - 1)*(0 - 4 + 3) + h + h**2 - h to t*h + u + y*h**2 and give y.
-2
Express -16*n**2 - 12*n**2 + 3*n**2 in the form i + t*n + w*n**2 and give w.
-25
Rearrange (4 - 4 + y + 2*y + 4 - 4 + (-3 + 1 + 0)*(y + 0*y + y))*(11*y - 8*y - 1 - 7*y) to d*y + v*y**2 + m and give d.
1
Express 0*g**4 - g**4 + 0*g**4 + (-g - 3*g + 6*g)*(-3*g**3 + 3*g**3 - g**3) - 31 - 9*g**4 + 31 in the form n + u*g + s*g**2 + a*g**3 + v*g**4 and give v.
-12
Express 2*n - 6*n**3 + 10*n - 6 - 18*n + 7*n as i + f*n**3 + m*n + x*n**2 and give i.
-6
Express 12 - d**2 + 3 + d**2 - 2*d**2 as q*d**2 + y + k*d and give y.
15
Express 0 + 11*h + 1 - 1 as k*h + l and give k.
11
Rearrange -761*v + 769*v + 3*v**2 - 5*v**2 to the form c + i*v + a*v**2 and give i.
8
Express 2*n + 3*n + 3*n**2 - 77 + 77 + 2*n**3 in the form k*n**2 + t + r*n + s*n**3 and give k.
3
Express (-8*k + 70 - 70)*(-3*k - 3*k**2 + 2*k - 6*k**2) in the form f + m*k**3 + v*k**2 + h*k and give m.
72
Express -3*q - q + 4*q + 4*q + 2 in the form s*q + u and give s.
4
Express -2 + f**3 - 16*f**4 + 17*f**4 + 3*f**3 as d*f**3 + w*f**2 + y*f**4 + n + m*f and give w.
0
Rearrange z + 12*z - 4*z to the form l*z + f and give l.
9
Express -2*z + 6*z - 5 - 5*z - z**3 + 1 in the form f*z**2 + p*z + m + o*z**3 and give o.
-1
Rearrange -1 + d**3 + 0*d + 7*d - 12*d to f*d**3 + h*d + p*d**2 + y and give y.
-1
Express (7 - 3 - 2)*(1 + 2*m - 1) + 3*m + 0 + 0 in the form g + v*m and give v.
7
Express 11 - 11 - 10*o in the form p + b*o and give b.
-10
Express (-2*a - a + a)*(a - a - 2 - 2*a) in the form t + k*a + u*a**2 and give k.
4
Rearrange -2*t**3 - 7 + 7 + 4*t to a*t + h*t**3 + d + y*t**2 and give y.
0
Express 1 + 0 + 13 - 63 + u in the form b + o*u and give o.
1
Express (-2 + 11 + 2)*(2 - 2 + 2*b**3) + (0 + 0 + b**2)*(b - 3*b + 3*b) in the form j*b**2 + q*b**3 + t*b + c and give j.
0
Rearrange (-179*t**2 + 64*t**2 - 177*t**2)*(2*t + 2*t - 6*t) to the form m + o*t**2 + x*t + z*t**3 and give m.
0
Express 0*p - 3*p + 0*p + (7 - 12 + 4)*(0*p + 0*p + p) as o*p
|
{
"pile_set_name": "DM Mathematics"
}
|
(2*m - m - 2*m)*(1 + 2 + 2)*(-m**2 - 3*m**2 + 5*m**2).
-5*m**3
Expand (-22 + 0 - 15)*(0 + 2*z + 2 - 1).
-74*z - 37
Expand -3*m**5 + 2*m**5 - m**5 + (0*m**4 + 2*m**4 + 0*m**4)*(-26*m + 53*m + 14*m) + (0 - m**2 + 0)*(-m**3 + 4*m**3 - 4*m**3).
81*m**5
Expand (-21 - 28 + 29)*(3*c - 3*c + c**3 - c).
-20*c**3 + 20*c
Expand (3 - 7 + 2 + (0 + 0 + 2)*(1 + 3 - 2) - 1 - 1 + 3)*(0*c**3 + 0*c**3 + c**3).
3*c**3
Expand (63 - 32 - 37)*(u + 2 - 2).
-6*u
Expand (-3*o**2 - o + o)*(2*o - 2*o - o)*(-3*o + 2*o + 2*o).
3*o**4
Expand (-5*i**3 + 4*i**3 + 5*i**3)*(0 + 2 - 3*i - i).
-16*i**4 + 8*i**3
Expand 1 - 1 + m**2 + (-m + 3*m - m)*(4 + 2*m - 4) - 3*m**2 + m**2 + 3*m**2.
4*m**2
Expand (-p**3 + 4*p**3 + 0*p**3)*(-3*p + 2*p + 0*p) - 7*p**4 + 6*p**4 - 5*p**4.
-9*p**4
Expand -2 + 13*x**5 + 2 + (3 + 4*x**4 - 3)*(0*x + 0*x + 2*x) + 0*x**2 + 1 + 0*x**2 - 3*x**5.
18*x**5 + 1
Expand (9*g**3 - 7*g**3 + 2*g**2 + 0*g**3)*(-5*g + 0*g + 3*g) + (-g + g + g)*(g**3 + 3*g**3 - 3*g**3).
-3*g**4 - 4*g**3
Expand 3*f**4 - f**2 - f**5 - 3*f**4 + (-3*f**5 + 2*f**5 - f**5)*(-1 - 1 + 0) + 4*f**5 - f**4 + f**4.
7*f**5 - f**2
Expand (y - y**2 - y)*(-3*y**3 + 3*y - y**3 - 2*y).
4*y**5 - y**3
Expand 4*p**3 - 1 - 2*p**3 + 0 + 6*p**5 + (-3 + p**2 + 3)*(-p**3 - p**3 + 4*p**3) + 0*p**5 - 2*p**5 + p**5.
7*p**5 + 2*p**3 - 1
Expand (-2*l - 2*l + 2*l)*(29*l - 202 + 202).
-58*l**2
Expand (-6 + 6 + 5*b)*(-b**2 - b**2 + 0*b**2).
-10*b**3
Expand w**2 + 3*w**2 - 6*w**2 + (-19*w + 5*w + 5*w)*(1 + 0 - 3)*(-w + 0 + 0).
-20*w**2
Expand (5*j + 6*j - 2*j - 4)*(-3*j**2 + 4*j**2 + j**2 + (0*j**2 - j**2 - j**2)*(-1 + 2 - 4)).
72*j**3 - 32*j**2
Expand 1 + 1 + 2*u**3 - 3 - u**3 + 0*u**3 + 3*u**3 + (-3*u + 0*u + 4*u)*(-2 - u**2 + 2).
3*u**3 - 1
Expand (0*v**3 + v**3 + 0*v**3 + (4 - 2*v**2 - 4)*(-2*v + 0*v + 4*v) - v**3 + 0*v**3 + 2*v**3 - 2*v**3 - 2*v**3 + 2*v**3)*(v**2 - 2*v**2 + 5*v**2).
-16*v**5
Expand (0 + z + 0)*(-z - 8 + 8) - 1 - 2*z**2 + 1.
-3*z**2
Expand (4*q + 0*q - 5*q)*(-2 + 4 + 0) + 2*q - 3*q - q + 1 - q - 1 + 3*q + 1 - 1 - 3*q - 3*q + 5*q + (-q - 2*q + q)*(-6 + 2 + 3).
-q
Expand (3*k + 2*k - 3*k)*(1 - 2*k**2 - 1) + (-3 + 1 - 4)*(k**3 - 6*k**3 + 4*k**3) + k**3 - k + k.
3*k**3
Expand (4*m**3 - 6*m**3 + 6*m**3)*(m**2 + 3*m**2 - 3*m**2 + (2*m + m - 2*m)*(-3*m + m + 3*m) + 3*m**2 - 4*m**2 - m**2 - 1 - m**2 + 1) + 2*m**5 - 3 + 3.
-2*m**5
Expand (-4*p**2 - 2*p**2 + 4*p**2)*(109 - p - 57 - 50).
2*p**3 - 4*p**2
Expand i**3 - 5*i**3 + i**3 - 26*i**3 + 43*i**3 - 34*i**3 + (2*i**3 + 1 - 1)*(-6 + 1 + 3) - i**2 + i**2 + 2*i**3.
-22*i**3
Expand (-2*l + 5*l + 2*l**2 - 5*l)*(-8*l**3 + l**3 - l**3).
-16*l**5 + 16*l**4
Expand (-9*n + 9*n + n**2)*(-25*n**2 + 2*n + 26*n**2 - 2 - n).
n**4 + n**3 - 2*n**2
Expand -a**3 + a**3 - 2*a**3 + (1 - a - 1)*(0 - 2*a**2 + 0) + 2*a**3 - 1 + 1.
2*a**3
Expand (0*f**3 + 0*f**3 - f**3)*(2*f**2 - 11*f + 9*f - 8*f**2).
6*f**5 + 2*f**4
Expand (-2*k + 2*k + k)*(-1 + 4*k - 6*k + 8*k).
6*k**2 - k
Expand (0*d**2 + 0*d**2 + 2*d**2)*(3 - 3 + 4*d) - 5*d**3 + d - d + (-2*d - 1 + 1)*(4*d - 4*d + d**2) - d**3 + 2*d**3 + 0*d**3.
2*d**3
Expand (-2*f + 1 - 1)*(-2*f - 4*f + 5*f) - f**2 + 18*f - 18*f + f**2 - 2*f**2 - f**2.
-f**2
Expand -4*q + 2*q**2 + 4*q + (2 - 2 - 2)*(15*q**2 - 2*q**2 - 4*q**2) - q**2 + 0*q**2 + 2*q**2.
-15*q**2
Expand 2 - q - 2 - 1 + 1 - q + (4 - 1 - 1)*(2*q - 4 + 4) - 3*q + 5*q + 0*q - 1 + 2*q + 1 + 2*q - 5*q + 2*q - q + 0 + 0 - 18*q + 7*q - 11*q.
-18*q
Expand 5*b + 5*b**3 - 3*b**3 - 2*b + (-b**2 - 3*b**2 + 0*b**2)*(2*b - 4 + 4).
-6*b**3 + 3*b
Expand (14*q**2 - 3*q**2 - 55*q**2)*(-2*q + 2*q - 2*q).
88*q**3
Expand (5*o**3 - 4*o**3 - 4*o**3)*(-4 - 5*o + 5 + 0).
15*o**4 - 3*o**3
Expand -7*t**5 + 30*t**4 - 30*t**4 + (4 - 4 - 4*t)*(2 - 2 - 2*t**4).
t**5
Expand (2 - 20 + 3)*(2 - 2 - z).
15*z
Expand (-4 - s + 5 + 3)*(-5*s + 7*s + 2*s).
-4*s**2 + 16*s
Expand 2 - 5 - 2*c**3 + 1 - c**2 - c**3 + c**2 + (-2*c**3 - 2*c**3 + 5*c**3)*(1 + 0 - 3) - 1 + 1 - 2*c**3.
-7*c**3 - 2
Expand (-41 - 14 - 7)*(3 + f**2 - 3 + 2 + 2*f**2 - 2 + (0*f + 2*f + 0*f)*(f - 3*f + 0*f)).
62*f**2
Expand (-1 - 1 + 3)*(-h**5 + h**5 - 2*h**5) + 0*h**3 + 0*h**3 - h**5 - h**5 - 2 + 2 - 3*h**5 + 2*h**5 + 3*h**5 + 3*h - 3*h - h**5.
-3*h**5
Expand (2*t + 0*t - 3*t)*(10 + 2 - 2).
-10*t
Expand -3*b**2 + b - b + ((-2*b + 0*b + b)*(1 + 1 + 0) - 3*b + 1 - 1)*(3*b + b - 2*b).
-13*b**2
Expand -2*c**3 - 2*c + 2*c + 4*c**3 - 3*c**3 + 0*c**3 + (-5*c + c + 2*c)*(2*c**2 - 2*c**2 - c**2) + 4*c**3 + 0*c**3 - 2*c**3 - 2*c**3 + 2*c**2 - 2*c**2.
c**3
Expand (4 - 5 + 0)*(-q**3 - 2 + 2) + 0*q + 2*q**3 + 0*q - 6*q**2 + 6*q**2 + 3*q**3 + 1 - 3*q**3 + 3*q**3 - 2*q**3.
4*q**3 + 1
Expand (3*m - 2*m - 4*m)*(-m + 4*m + m).
-12*m**2
Expand ((p - p - 2*p**2)*(4 - 6 + 1) + (0*p + p + 0*p)*(p + 2*p - 2*p) - 2*p**2 + 0*p**2 + 3*p**2)*(-2*p + 2*p + 2*p**2).
8*p**4
Expand (k + k + 0*k)*(7*k**3 - 5*k**3 + 6*k**3) - k**4 - 7*k**4 + 2*k**4.
10*k**4
Expand (1 - 3*c**3 + c - c**3 - 3*c)*(0 - c**2 + 0).
4*c**5 + 2*c**3 - c**2
Expand (c**2 - 3*c**2 + 3*c**2)*(5*c - 8 + 8)*(-2 + 2 - 2).
-10*c**3
Expand (-2*c**2 + 2*c**4 + 0*c**2 + 4*c**2)*(5 - 1 + 4)*(-c - c - c).
-48*c**5 - 48*c**3
Expand (5 - 2 + 26*d**3 - 17*d**3)*(1 + 2 - 2).
9*d**3 + 3
Expand -3*a**5 + a**5 + 4*a**5 + (0 + 0 + 2*a**2)*(7 - 7 - 7*a**3).
-12*a**5
Expand (2*d**2 + d**2 - d**2 - 2*d**2 - 3 + 3 + (d**2 + 2*d**2 - 2*d**2)*(-2 + 0 + 1))*(6*d - 3*d + 10*d).
-13*d**3
Expand ((4*y + 3*y - 5*y)*(0 + 1 + 1) - 4 - 2*y + 4)*(-2 + 4 - 3)*(4 + 0 - 2).
-4*y
Expand (2*l**2 + 3*l**2 + 0*l**2)*(2*l**2 + 0 - 1 - 4*l**2).
-10*l**4 - 5*l**2
Expand (6*t - 4*t + 4*t)*(3*t - 2*t + 3*t).
24*t**2
Expand 4*j + 0*j - 3*j + (1 + 2 - 5)*(2*j - j - 2*j).
3*j
Expand -2*y + 3 - 3 + (-4 - 1 + 0)*(y - y + 2*y).
-12*y
Expand (-85 + 5*o + 85)*(3*o + 0*o - o) + (-o + 0 + 0)*(-2*o + 0 + 0) + 5*o**2 - o**2 - 2*o**2 + 3*o**2 - 3*o**2 + 2*o**2.
16*o**2
Expand (-7*a - 4*a + 0*a)*(-3 + 1 + 0).
22*a
Expand -7 + 10*i + 7 + (i - i - 3*i)*(-1 + 2 - 3) + i - 5*i + 6*i + (-1 - 1 + 4)*(0*i + 2*i + 0*i).
22*i
Expand (0 + 0 - 4)*(3*f**3 - f**3 - f**3) + (3*f**2 - 3*f**2 + 2*f**2)*(-2 + 2 - f) - 2*f**3 - f**3 + 2*f**3.
-7*f**3
Expand (-g**2 + g**2 - g**3)*(18 + 11 - 7).
-22*g**3
Expand (-4 + 3 - 7)*(r - 2*r + 0*r)*(2 + 2 - 3).
8*r
Expand -5*k**2 + 17*k - 17*k + (-2 - 2*k + 2)*(-2 + 2 - 2*k) - k**2 - 3 + 3 - 4*k**2 + k**2 + 2*k**2 + (-3*k**2 + k**2 + k**2)*(1 + 4 - 3).
-5*k**2
Expand (0*t - 3*t + 0*t)*(1 + 0 - 3)*(5*t - 3*t + 5*t).
42*t**2
Expand 5*a**5 + 0*a**5 - 4*a**5 + (2*a**3 - 5*a**3 - 2*a**3)*(2*a**2 - 3*a**2 + 0*a**2).
6*a**5
Expand (3*r - 2*r + r)*(-3*r + 2*r - r) + 0 - r**2 + 0.
-5*r**2
Expand (4 - 3 - 3)*(-4*u**2 + 13331*u - 13331*u - 4).
8*u**2 + 8
Expand (g - 3*g + 0*g)*(13*g**2 - 12*g**2 + 2 + 4*g - 5*g).
-2*g**3 + 2*g**2 - 4*g
Expand (0 + 1 - 2)*(2*m - 3 + 3) + 59*m - 36*m - 32*m.
-11*m
Expand 5*t**3 - 2*t**3 - 4*t**3 + (-t + t + t**2)*(-2*t - 2 + 2) + 0*t**3 - 3*t**3 + 4*t**3 + (-t**2 + 3*t**2 + 0*t**2)*(8*t - 6 + 6).
14*t**3
Expand (4*b**2 - 3*b**2 + b**2)*(b**3 + 0*b**3 - 2*b**3) + b**5 + 3*b**5 - 3*b**5.
-b**5
Expand (-h + 2*h + h)*(4*h - 4*h - 4*h) + 2*h**2 + 3*h - 3*h.
-6*h**2
Expand (-4*h + h + 5*h)*(-3 + 4 + 1)*(-3 + 3 + 2).
8*h
Expand (2*n**2 + 2*n - 2*n)*(0*n**2 - n**2 + 3*n**2) - 3 + 3 - n**4 + (4*n - 3*n - 3*n)*(-n**3 + 0*n**2 + 0*n**2).
5*n**4
Expand (2*f - 2*f + f)*(-11 + 41 + 18 - 2 + 0 + 3 + (6 - 2 - 2)*(-2 + 6 - 5)).
47*f
Expand (-4*s**3 + 2*s**3 + s**3)*(-1 - 2 - 9) + (-2 + 2 + 2*s)*(-1 + 1 - 2*s**2).
8*s**3
Expand b - b - 2*b + (-2 + 1 + 3)*(-2*b + 3*b - 2*b) + 2 + 3*b - 2 + (1 - 4 + 4)*(0 - 2*b + 0)*(-3 + 3 - 1).
b
Expand -f**5 + 4*f**5 + 3*f**5 + (f**2 + 2*f**3 - f**2)*(0 + 2*f**2 + 0).
10*f**5
Expand -3*j**5 + 4*j**5 + 0*j**5 + (-2*j**2 - 2*j**4 + 2*j**2)*(-j + 0*j + 3*j) + (6 - 2 - 2)*(-j**2 + j**5 + j**2) + 3*j**5 - 3*j**5 - j**5.
-2*j**5
Expand 2*z**4 - 3*z**4 + 3*z**4 + (-1 + z**2 + 1)*(-z**2 + 0*z**2 + 3*z**2) + z**4 + z - z + z**4 - z**4 + 2*z**4.
7*z**4
Expand (2*h**2 - 3*h + 3*h)*(5 + 23 - 13).
30*h**2
Expand (r - 3*r + 5*r)*(0 - 2 + 4)*(-3*r**2 + 0*r + 0*r).
-18*r**3
Expand (1 - 1 + 6*r)*(-2*r**2 + 3*r**2 + r**2).
12*r**3
Expand (-2 + 2 + c)*(-3*c + 2*c + 0*c) + 1 - 1 + 2*c**2 - 2*c**2 - 1 + 1 + (-c**2 + 2*c**2 + c**2)*(-1 + 4 + 3).
11*c**2
Expand (6 + 0 + 1)*(t**2 + t**2 - t**2)*(1 + 0 + 1).
14*t**2
Expand (-3
|
{
"pile_set_name": "DM Mathematics"
}
|
-23.83, -5, -2, 1, 988
Sort 6, -10059, -79, 1, -3 in decreasing order.
6, 1, -3, -79, -10059
Sort 1/4, -4/3, -1, 0.3, 4553, 0.2.
-4/3, -1, 0.2, 1/4, 0.3, 4553
Put -8, 0, -18588, 0.1 in ascending order.
-18588, -8, 0, 0.1
Put 1, 31, 0, 4, -4, 286, -5 in ascending order.
-5, -4, 0, 1, 4, 31, 286
Put -87, -12, 134, 141.3 in decreasing order.
141.3, 134, -12, -87
Sort -3, -7, -957, 842 in ascending order.
-957, -7, -3, 842
Put -1/320, 0.2, 0.5, 3.5, 1/22 in descending order.
3.5, 0.5, 0.2, 1/22, -1/320
Put 48686, 4, -1137, 3 in decreasing order.
48686, 4, 3, -1137
Sort -3, 102, -4829, -2 in descending order.
102, -2, -3, -4829
Put -1, -375, 9, 1234 in increasing order.
-375, -1, 9, 1234
Sort 0, 2296, -0.3, -568 in ascending order.
-568, -0.3, 0, 2296
Sort -3.13, 113, 1, 0.2, 0.21, -1/5.
-3.13, -1/5, 0.2, 0.21, 1, 113
Sort 2/17, -790, 9.2 in descending order.
9.2, 2/17, -790
Put 186, -11, 234, -2, -6, -5 in descending order.
234, 186, -2, -5, -6, -11
Put 2966, -2, 20, -397 in decreasing order.
2966, 20, -2, -397
Put -2/15, 76129, 1/36, -0.7 in increasing order.
-0.7, -2/15, 1/36, 76129
Sort 11, -1369, 742.
-1369, 11, 742
Sort 174, -1, 3, 2666 in descending order.
2666, 174, 3, -1
Sort -17, -1/2, -1, 0.324, -3, 3.
-17, -3, -1, -1/2, 0.324, 3
Sort -0.3, -2312736, 0.1, 0, 2 in decreasing order.
2, 0.1, 0, -0.3, -2312736
Sort 258, 2, -22, -25, -2, 3.
-25, -22, -2, 2, 3, 258
Sort -121, 7, -0.2, -7, 0.0097.
-121, -7, -0.2, 0.0097, 7
Sort 0.1, 0.4, 2/19, 4646178.
0.1, 2/19, 0.4, 4646178
Put -4, 0, -0.01, -2.1, 10, 15 in increasing order.
-4, -2.1, -0.01, 0, 10, 15
Sort -5, -26, -2184464 in ascending order.
-2184464, -26, -5
Put -20649, -4, 14, 0, -3 in ascending order.
-20649, -4, -3, 0, 14
Sort 158, -3/7, -4868 in descending order.
158, -3/7, -4868
Put -6, 60, -6/5, 1/25, -5, -2, 0 in decreasing order.
60, 1/25, 0, -6/5, -2, -5, -6
Sort 4, -19450, 218, 3 in descending order.
218, 4, 3, -19450
Put 2, -2, -4, 0.01, 7805/3 in decreasing order.
7805/3, 2, 0.01, -2, -4
Put 107, -3955, 4, 25 in increasing order.
-3955, 4, 25, 107
Sort -510, -18626, 5, 4, 2.
-18626, -510, 2, 4, 5
Sort -210489, 3, 344 in decreasing order.
344, 3, -210489
Put -1/5, 6155, 0, -11 in decreasing order.
6155, 0, -1/5, -11
Sort -10, 0, -3, 34, -24, 370 in decreasing order.
370, 34, 0, -3, -10, -24
Sort -1, -103.12, 47/17 in ascending order.
-103.12, -1, 47/17
Sort -2291, -69, 2.1 in descending order.
2.1, -69, -2291
Put -5, 12095, -1, -56 in descending order.
12095, -1, -5, -56
Sort -16.9, 208, 3/8, 626.
-16.9, 3/8, 208, 626
Sort 0.83108, 0.1, -7/5 in increasing order.
-7/5, 0.1, 0.83108
Put 4409, -3, 349 in decreasing order.
4409, 349, -3
Sort -1, 1357, 3, -4, 4, 526 in increasing order.
-4, -1, 3, 4, 526, 1357
Sort -58, 2.4969, 10, -4 in decreasing order.
10, 2.4969, -4, -58
Sort 2, -1, -204, 4, -2, -29, 5 in decreasing order.
5, 4, 2, -1, -2, -29, -204
Sort 0, -2, -36, 4, 33, 12, -15 in decreasing order.
33, 12, 4, 0, -2, -15, -36
Sort -0.3, -2/3, 0, 5.03, -4, -0.48 in decreasing order.
5.03, 0, -0.3, -0.48, -2/3, -4
Put -3, 2, -53, -4, 5352, -5, 5 in increasing order.
-53, -5, -4, -3, 2, 5, 5352
Sort 58, 4, -5, -717, 2, 40.
-717, -5, 2, 4, 40, 58
Sort -3, 5, -4, 2786.
-4, -3, 5, 2786
Put 5, 22078, -7, 49 in ascending order.
-7, 5, 49, 22078
Sort 4, -981, -131, 0.22, 6 in ascending order.
-981, -131, 0.22, 4, 6
Sort 5, -4816434, -2.
-4816434, -2, 5
Sort 6, -39, 0, 1, -3, 3, -20 in descending order.
6, 3, 1, 0, -3, -20, -39
Put 3, 7, -35384, 4, -48, 5 in descending order.
7, 5, 4, 3, -48, -35384
Sort 82, 0.3, 1.3, 9, -8 in ascending order.
-8, 0.3, 1.3, 9, 82
Sort -2/11, 0.1, -2.0369448.
-2.0369448, -2/11, 0.1
Sort -403, 46, -135.
-403, -135, 46
Sort -0.3, 0.4, 8, 0, -86.72 in decreasing order.
8, 0.4, 0, -0.3, -86.72
Sort 2.207, -5744, 4, -2/7 in increasing order.
-5744, -2/7, 2.207, 4
Sort 5, 1, 83, -2, -1018 in increasing order.
-1018, -2, 1, 5, 83
Sort 5, -381, -111, 278 in decreasing order.
278, 5, -111, -381
Sort -51, -7, -3, -79, -1, -218 in descending order.
-1, -3, -7, -51, -79, -218
Put -130525, -53, 10, 0, -4 in ascending order.
-130525, -53, -4, 0, 10
Put 352, 4, 0, 5, -7, -3, 9 in decreasing order.
352, 9, 5, 4, 0, -3, -7
Sort 32873, -1828, 1, -1, -4 in ascending order.
-1828, -4, -1, 1, 32873
Sort -85, 2, -2, 11, -15, -10, 5 in increasing order.
-85, -15, -10, -2, 2, 5, 11
Put 10/7, -3, -2.06, -1113 in ascending order.
-1113, -3, -2.06, 10/7
Put 4, 3, 536, -351 in decreasing order.
536, 4, 3, -351
Sort 18, 0.5, -5, -1/12, 156, 3/4 in increasing order.
-5, -1/12, 0.5, 3/4, 18, 156
Put 0, 126, -474837 in decreasing order.
126, 0, -474837
Sort 2/9, -88, 0.0067, -4.4, 5 in descending order.
5, 2/9, 0.0067, -4.4, -88
Sort -1944075, 44, -1 in descending order.
44, -1, -1944075
Put 3/5, 13.882, -5, 0.3, 2/21 in ascending order.
-5, 2/21, 0.3, 3/5, 13.882
Put -1502, -1715, 3, -1 in descending order.
3, -1, -1502, -1715
Put -2, -73, 121, 187 in decreasing order.
187, 121, -2, -73
Put 6, -206, 22, -15, -1 in ascending order.
-206, -15, -1, 6, 22
Sort -3, 822, 74, -32, 1, 6 in increasing order.
-32, -3, 1, 6, 74, 822
Put -261066, 354, 4 in decreasing order.
354, 4, -261066
Put 2, -41, -4, 11, 2997 in ascending order.
-41, -4, 2, 11, 2997
Sort -1, -307, -5, 5, 98, -2 in descending order.
98, 5, -1, -2, -5, -307
Sort 111985, -4, 4, -271 in descending order.
111985, 4, -4, -271
Sort 83256, -1, -1325, -3, 4.
-1325, -3, -1, 4, 83256
Put -1, -9032, -28, 3, -5/4 in ascending order.
-9032, -28, -5/4, -1, 3
Put -41, 15, -55, -50 in decreasing order.
15, -41, -50, -55
Put -4575, 4, 174, -2 in descending order.
174, 4, -2, -4575
Sort 0, 1328, -6, -2.
-6, -2, 0, 1328
Put -151/26, 4211, 3 in decreasing order.
4211, 3, -151/26
Sort 3, 0, -1, -3, -4, -14, 56 in descending order.
56, 3, 0, -1, -3, -4, -14
Put -1.47, 5, -10249 in increasing order.
-10249, -1.47, 5
Sort 10, 24, -2, -424.
-424, -2, 10, 24
Sort -2.013, 3050, 3.
-2.013, 3, 3050
Put -2/7, 0.01, -0.24929 in descending order.
0.01, -0.24929, -2/7
Sort -8, 5, -1365, -9/2, -4/3 in increasing order.
-1365, -8, -9/2, -4/3, 5
Put -5, 167559, -7 in increasing order.
-7, -5, 167559
Put 10, 18, 29123 in increasing order.
10, 18, 29123
Put -5, 1, -117985 in ascending order.
-117985, -5, 1
Sort 0, 1126, -4/59, -3 in decreasing order.
1126, 0, -4/59, -3
Sort -301, 79, -3, 4, 2 in increasing order.
-301, -3, 2, 4, 79
Put -1/7, 3/4, -2/7, 2, 0.03, 12 in decreasing order.
12, 2, 3/4, 0.03, -1/7, -2/7
Sort 230/9, -79.2, -5/3 in decreasing order.
230/9, -5/3, -79.2
Sort -0.1, -5, -1, 34, 2/5, 0.59, 8 in decreasing order.
34, 8, 0.59, 2/5, -0.1, -1, -5
Sort -13, -1, 0.1, -1528, 4.
-1528, -13, -1, 0.1, 4
Sort 25, -4284, 4.
-4284, 4, 25
Put -1, 4, 29, -5, -66, 118, 5 in descending order.
118, 29, 5, 4, -1, -5, -66
Sort -6, 965638, 1, 3 in decreasing order.
965638, 3, 1, -6
Sort 182, -3, -31, 196, 3 in decreasing order.
196, 182, 3, -3, -31
Sort 37, 2/5, 99, 797/2, 1/8 in descending order.
797/2, 99, 37, 2/5, 1/8
Sort 36/11, -3, -0.0795605 in decreasing order.
36/11, -0.0795605, -3
Sort 84948, -9, -2 in decreasing order.
84948, -2, -9
Put -2, 1857, -493, 1, -4, 5, 4 in decreasing order.
1857, 5, 4, 1, -2, -4, -493
Put 0.214, 2, 3, 54, -5, 0.2, -0.6 in increasing order.
-5, -0.6, 0.2, 0.214, 2, 3, 54
Sort -7, -16, -1/2320 in ascending order.
-16, -7, -1/2320
Sort 2, 63, 942, -4 in descending order.
942, 63, 2, -4
Put 5, 0, 11, 4, -8, 2, -1729 in decreasing order.
11, 5, 4, 2, 0, -8, -1729
Put 333, -9, -4/5, 1/4, -1, 1 in decreasing order.
333, 1, 1/4, -4/5, -1, -9
Sort 0, -3, 4, 5, -770, -5, -30.
-770, -30, -5, -3, 0, 4, 5
Sort -1126, -32, -1465 in descending order.
-32, -1126, -1465
Sort 9, -9840, -4, -6, -3 in increasing order.
-9840, -6, -4, -3, 9
Sort -61727, -4, -6, 4, 5, 3 in decreasing order.
5, 4, 3, -4, -6, -61727
Sort -7, -352/9, -1/415, 4 in increasing order.
-352/9, -7, -1/415, 4
Sort 5, 1.0537, 1/11, 0, 2/13.
0, 1/11, 2/13, 1.0537, 5
Sort 0, 4, -76, 577, 10 in ascending order.
-76, 0, 4, 10, 577
Sort -2891, -23, -3, 15, -4.
-2891, -23, -4, -3, 15
Sort 21370, -3, 3.33.
-3, 3.33, 21370
Sort -3, 0, -10, -2, 1055 in increasing order.
-10, -3, -2, 0, 1055
Put -4, 2, -39.9, -3652 in ascending order.
-3652, -39.9, -4, 2
Put -4/5, 3, 0.12, -14, -57
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let m = d - -281. What is the greatest common divisor of 16 and m?
16
Let v be (32/(-120))/(2/5)*-6. Suppose -l = 4*g - 2*g - 182, v*g = 4. What is the greatest common factor of 144 and l?
36
Let d(n) = 23*n + 23. Let t be d(-1). Let a be (5 + t)/(272/24 - 11). What is the highest common divisor of a and 30?
15
Let g be ((-1)/3)/(332/(-833652)). Calculate the highest common factor of g and 651.
93
Let u(k) = -13*k**3 + k + 1. Let m be u(-1). Let j = m - -8. Let z(v) = -31*v**3 - 4*v**2 - v - 3. Let g be z(-2). What is the highest common factor of g and j?
21
Let c = -2483 + 2890. What is the highest common factor of 925 and c?
37
Suppose 3*t = 5*t + 4*v - 16, 5*t + v = 13. Suppose 0*o - 4*o + 458 = 5*y, -5*y + 454 = t*o. Let i = -25 - -35. What is the highest common divisor of i and y?
10
Let h(u) = -u**3 - 12*u**2 + 6*u - 10. Let i be h(-13). Let c = -39 + i. What is the highest common divisor of 14 and c?
14
Let k(s) = s + 2. Let o be k(-2). Suppose o = 267*n - 270*n + 315. Calculate the greatest common factor of n and 63.
21
Let z(u) = 7*u**2 + 2*u + 4. Let a be z(-2). Suppose a = 7*d - 0*d. Let t be (20 - (-4 + 8))*(d - 2). Calculate the highest common factor of 352 and t.
32
Let m be ((-7)/(-14))/(3/(-18)). Let f be -1 - (m + 1 + -3). Calculate the highest common factor of 92 and f.
4
Let y = -64 + 75. Let i(t) = -71*t - 505. Let w be i(-13). What is the highest common divisor of w and y?
11
Suppose 5*r + 52 = 202. What is the greatest common divisor of r and 294?
6
Suppose 4*g + 4355 = d, -5*d + 21775 = -309*g + 306*g. Calculate the highest common divisor of d and 455.
65
Let r(a) be the second derivative of -7*a**4/4 - 5*a**3/6 + 5*a**2/2 + 16*a. Let c be r(2). Let l = c - -131. What is the highest common factor of l and 210?
42
Suppose -13*r - 60 = -23*r. What is the greatest common factor of 1392 and r?
6
Let u(x) = 46*x**3 + 3*x**2 - 3*x + 1. Suppose 6 = 5*m - 2*n, -m + 2*m = 4*n - 6. Let a be u(m). What is the highest common divisor of a and 30?
15
Suppose -h + 5*l = -1698, -2*h + 63*l - 64*l + 3363 = 0. Calculate the highest common factor of 17 and h.
17
Suppose -l + 787*q = 783*q - 102, 3*q - 9 = 0. Calculate the highest common factor of 15922 and l.
38
Suppose -7*k + 2*i = -3*k - 270, 195 = 3*k - 3*i. Calculate the greatest common factor of k and 182.
14
Let z = 5 + -3. Suppose -3*d + 13 = -z*d. Let b = 19293 + -19202. What is the highest common divisor of d and b?
13
Let b(k) = -3*k**3 - 4*k + 6*k**2 + 9 + 7*k**3 - 5*k**3 + 2*k**3. Let p be b(-5). Let r = -28 + p. What is the greatest common factor of 39 and r?
13
Let r = -579 + 595. Let u be (r*1)/(6 - (16 - 11)). Calculate the greatest common factor of u and 424.
8
Let u(o) = o**3 - 18*o**2 - 40*o + 33. Let n be u(20). Let w be (((-36)/5)/3)/(n/(-220)). Calculate the highest common divisor of w and 88.
8
Suppose 72*a - 3990 + 11 = 629. Let s = 480 - 32. Calculate the highest common factor of s and a.
64
Suppose 6*d = -25 + 37. Let m be (-8 - (-2 - 0 - d))*-1. Suppose -2*h + 3 = u - m*h, -5*h = -4*u + 12. What is the highest common factor of 27 and u?
3
Suppose -4*l + 52 = r, -34 = -2*l - 2*r - 2. Suppose -l*y = y - 169. What is the greatest common divisor of 130 and y?
13
Suppose 3*o + 4*u = 27, -5*u + 6 + 9 = 0. Let q = 198 + -143. Calculate the greatest common factor of o and q.
5
Suppose 0 = -4*i - 5*x + 154, 32 = -4*i + 2*x + 200. Let h = 78 - i. Suppose -101 = -2*u - h. Calculate the highest common divisor of u and 96.
32
Let o(z) = z**2 - 54*z - 272. Let y be o(64). What is the greatest common factor of 176 and y?
16
Let z(d) = 2*d**3 - d - 1. Let a be z(2). Let u(q) = -2*q**2 - 8*q + 3. Let o be u(-4). Suppose o*m - 96 = 60. What is the greatest common divisor of a and m?
13
Let b(m) = -3*m**3 + 13*m**2 + 13*m - 8. Let d be b(5). Let h be 765/12 + (-6)/8. What is the greatest common divisor of h and d?
7
Let p(z) = 7*z**2 + 344*z - 689. Let b be p(2). Calculate the greatest common factor of b and 30.
3
Let s be 4 - (185/(-555))/((-1)/(-30)). Let a be 2398/18 - (-2)/(-9). What is the highest common divisor of a and s?
7
Let b(a) = 3*a**2 + 2*a - 15. Let i be 1*-4*(0 + (-5)/(-10)). Let x be i*1/2 + -5. Let r be b(x). Calculate the highest common factor of 9 and r.
9
Suppose 125*s - 77976 = 140*s - 376*s. Let k = 13 + 5. Calculate the greatest common divisor of s and k.
18
Let w(t) = -119*t - 1127. Let q be w(-63). What is the highest common factor of 364 and q?
182
Suppose 0 = -70*o - 1285 + 2811 + 3234. Calculate the greatest common factor of o and 3230.
34
Let g(l) be the second derivative of 11*l + l**4 + 2*l**2 + 0 - 7/3*l**3. Let k be g(6). Calculate the greatest common factor of k and 32.
32
Let f = 85 + -73. Let n be 24*96/54 - f/(-9). Let q be 4/(-5)*(-1210)/n. Calculate the highest common factor of 22 and q.
22
Let w be ((-335)/670)/(2/(-17980)). What is the greatest common factor of w and 145?
145
Let m = 2241 + -1413. Suppose 59*u - 3718 = 7138. What is the greatest common divisor of u and m?
92
Let u(w) = w**2 - 187*w + 1126. Let t be u(6). What is the highest common divisor of 120 and t?
40
Suppose 2*r = 4*v - 5*v + 125, -4*v = -r - 527. Suppose -3*n = -v - 493. Calculate the highest common factor of n and 13.
13
Suppose 0 = -6*u + 35135 - 1583. Suppose 18*k - u = -1092. Suppose 4*t - k = -10. What is the highest common divisor of t and 12?
12
Suppose 198 = 4*o + 5*h, -108*o + 103*o + h = -204. What is the highest common factor of o and 7854?
42
Suppose -3 + 3 = 24*l. Suppose l = 16*p + 7*p - 5681. What is the highest common factor of 19 and p?
19
Let t(d) = 4*d**2 + 89*d - 425. Let h be t(-27). What is the greatest common divisor of h and 4972?
44
Suppose 3*l = 3*d - 1155, -1233 = -3*d - 2*l - 103. Let n = -164 + d. What is the highest common divisor of n and 8?
8
Let f be (6 - 1 - 5)*(-5)/(-10) + 1075. Calculate the greatest common divisor of f and 86.
43
Let k(m) = -11*m + 241 + 2*m - 279 + 0*m. Let i be k(-30). Calculate the highest common divisor of i and 29.
29
Let u(o) = -o**2 + 81*o + 1565. Let v be u(97). Suppose -2*h + 2*w + 185 = -h, h + 5*w - 220 = 0. Calculate the highest common divisor of v and h.
13
Let s(a) = -26*a - 1611. Let z be s(-64). Calculate the greatest common divisor of 16165 and z.
53
Let a be -26 + 27 + (-18)/(-2). What is the greatest common divisor of a and 222?
2
Suppose 0 = -377*w + 374*w + 54. Let p = 2 + 1. Suppose 3*g - p*t - 93 = 0, -2*g + 36 = 4*t - 2. Calculate the greatest common factor of w and g.
9
Let p = -4 - -9. Let l(m) = -m**2 + 10*m - 17. Let f be l(p). Let n be (f - 7)/((-3)/(-135)). Calculate the highest common divisor of n and 5.
5
Suppose 14*y = 34*y. Suppose y = 278*d - 269*d - 441. Suppose 2*m = -2*m + 28. Calculate the greatest common factor of d and m.
7
Suppose 0 = s + 3*y - 235, -y = -s + 3*y + 200. Suppose 0 = 4*o + 12 - 28, -5*h - 5*o = -s. Let v = h - -200. What is the greatest common factor of v and 30?
30
Suppose 56136*c - 56130*c - 24420 = 0. Calculate the greatest common factor of 33 and c.
11
Let f = -9954 + 10050. What is the highest common divisor of f and 72?
24
Let s(f) = 17*f - 31. Let a(x) = 14*x - 31. Let v(q) = 5*a(q) - 4*s(q). Let b be v(19). What is the greatest common divisor of 259 and b?
7
Suppose 4*z - 3*h = -7*h + 1008, 504 = 2*z + 4*h. Let v = 36 - 6. Suppose 21*u - v*u = -252. What is the highest common factor of z and u?
28
Suppose 0 = -5*k - 2*m + 16 + 19, 5*m - 30 = -k. Let z = k + -3. Let i be z/(-10) - 153/(-15). What is the greatest common factor of i and 25?
5
Suppose 0 = 11*c - 14*c - 9. Let y be (73 - -2) + -6*1/c. Let a = y - 75. What is the highest common factor of a and 10?
2
Let u(k) = -39*k + 2416. Let q be u(60). Calculate the greatest common factor of 2774 and q.
38
Let u(i) = i**2 - 20*i + 41. Let l = -82 - -100. Let h be u(l). Suppose -3*s = -2*q - 0 - h, -3*s = -4*q - 7. Calculate the greatest common factor of 9 and s.
1
Let t be (1/((-35)/(-65)) + -1)/((-14)/(-20090)). What is the greatest common divisor of t and 1066?
82
Let s be 1 - 2 - (-38)/1. Let d be (-10 - -6)*(-4)/8*-8. Let v(k) = 2*k**2 + k - 89. Let x be v(d). Calculate the greatest common divisor of x and s.
37
Suppose -194*q + 21 = -173. What is the greatest common divisor of 719 and q?
1
S
|
{
"pile_set_name": "DM Mathematics"
}
|
- 152*l + 36422
Let i(j) = -17*j. Let v(s) = 34*s**2 + 9. Let t(c) = -16*c**2 - 4. Let u(y) = 13*t(y) + 6*v(y). Let b(f) be the first derivative of u(f). Determine i(b(r)).
136*r
Let u(j) = j**2 - j - 1. Let b(v) = 6*v**2 - 3*v - 8. Let t(l) = b(l) - 3*u(l). Let m(d) be the first derivative of t(d). Let k(s) = 5*s**2. Give m(k(p)).
30*p**2
Let s(q) = 679*q**2 + 2. Let z(m) be the third derivative of m**5/60 + 904*m**2. What is s(z(v))?
679*v**4 + 2
Let c(v) = -58*v - 116*v + 128*v. Let h(l) = -14*l. Determine h(c(g)).
644*g
Let s(o) = -36*o. Let h(q) be the third derivative of 7*q**5/30 + 11*q**2 + 14. Give h(s(b)).
18144*b**2
Let a(v) = 62*v. Let q(t) = 3*t**2 - 4911*t - 74. Calculate q(a(u)).
11532*u**2 - 304482*u - 74
Let d(x) = 20341*x**2. Let w(l) = -9*l**2 + 69. Determine w(d(s)).
-3723806529*s**4 + 69
Let t(j) be the second derivative of 3*j - 7/6*j**3 + j**2 + 0. Let v(d) = -5*d + 33. Let i(w) = -12*w + 77. Let n(o) = 3*i(o) - 7*v(o). Determine n(t(p)).
7*p - 2
Let y(f) = 6310*f - 6315*f + 126 - 126. Let x(w) = 165*w**2. Give x(y(n)).
4125*n**2
Let i(b) = -813*b**2 - 2*b + 309. Let r(t) = 7*t. Give i(r(p)).
-39837*p**2 - 14*p + 309
Let g(j) be the first derivative of 15 + 1/12*j**5 + 0*j + 0*j**3 - 6*j**2 + 0*j**4. Let u(k) be the second derivative of g(k). Let d(m) = m**2. Give d(u(x)).
25*x**4
Let u(z) = 15*z + 5 - 12 + 7. Let v(a) be the third derivative of -2*a**5/15 - a**2 + 24. Give v(u(l)).
-1800*l**2
Let u(a) = 1303*a. Let t(h) = -8*h**2 - 16479*h. Calculate u(t(s)).
-10424*s**2 - 21472137*s
Let p(f) = 176243*f. Let s(i) = 5687*i. Calculate s(p(n)).
1002293941*n
Let k(t) = 7*t**2 - 66*t - 3. Let s(h) = 12*h**2 - 110*h - 5. Let v(a) = -5*k(a) + 3*s(a). Let w(g) = 360*g - 2. What is w(v(p))?
360*p**2 - 2
Let l(t) = 43*t - 1. Let b(k) = 44*k - 1. Let r(j) = 2*b(j) - 2*l(j). Let m(o) = 1264*o**2. Give r(m(u)).
2528*u**2
Suppose -5*l - 2*z + 3 - 9 = 0, -4*l - 4*z = 12. Let g(j) = -3 + 3 + 2*j**2 + l. Let q(o) be the second derivative of 10*o**3 - 4*o - 178. Give g(q(y)).
7200*y**2
Let w(l) = l**2. Let f = 33 + -33. Let x(y) = 0 + 0 + f - 455*y. Let s(h) = 19*h. Let a(z) = -143*s(z) - 6*x(z). What is a(w(i))?
13*i**2
Let d(f) = -f + 2*f - 3*f. Let r(w) = -2 - 6 + 625*w**2 + 2 - 207*w**2 - 210*w**2 - 215*w**2. What is d(r(m))?
14*m**2 + 12
Let h(a) be the second derivative of a**4/6 - 689*a. Let f(v) = -2*v**2 + 280. Give f(h(y)).
-8*y**4 + 280
Let b(y) be the first derivative of 62*y**3/3 - 415. Let g(z) = -4*z**2. Give b(g(v)).
992*v**4
Let h(p) be the second derivative of -p**4/12 - 7*p - 111. Let m(w) = 178*w**2. Give m(h(b)).
178*b**4
Let y(m) = -m. Let f(g) = g**3 + 6*g**2 - 6*g + 7. Let a be f(-7). Let l be a + 4*1/2. Let h(p) = 58*p**2 - 36*p**l - 37*p**2. Determine y(h(s)).
15*s**2
Let a(u) = -12*u**2. Let g(x) be the second derivative of 3/2*x**4 + 64*x + 0*x**2 + 0*x**3 + 0. Calculate a(g(v)).
-3888*v**4
Let o(j) = 12151*j**2 - 2*j - 22. Let b(g) = -2*g. Give o(b(y)).
48604*y**2 + 4*y - 22
Let b(g) = 3*g**2. Let u(n) = 6*n**2 + 69407. Give u(b(c)).
54*c**4 + 69407
Let m(q) = 26*q**2. Let h(y) = 9*y**2 - 11*y + 28. Let o be h(6). Let f(r) = 572*r - o*r - 285*r. What is f(m(w))?
26*w**2
Let l(v) = 2*v. Let b(p) be the third derivative of 173*p**5/30 + 13*p**3/3 + 680*p**2 + 6*p. Calculate b(l(z)).
1384*z**2 + 26
Let s(c) = -3*c - 209*c + 71*c - 132*c. Let g(x) = 4*x**2 - 5*x. What is s(g(p))?
-1092*p**2 + 1365*p
Let x(q) = 762*q**2. Let n(f) = -183*f - 12. Let j(v) = 397*v + 26. Let u(s) = 6*j(s) + 13*n(s). Give u(x(k)).
2286*k**2
Let p(v) = -3*v**2. Let m(a) = 976*a**2 - 48. Let o(l) = -325*l**2 + 18. Let u(y) = -3*m(y) - 8*o(y). Calculate u(p(d)).
-2952*d**4
Suppose -4*w - 220 = -2*k - 0*w, -4*k + 455 = -3*w. Let h(c) = k*c**2 - 2*c - 141*c**2 + 2*c. Let y(b) = -2*b**2. Calculate y(h(p)).
-1250*p**4
Suppose 4*u + 3*j = 3775, 4*u - 2345 = -5*j + 1432. Let n(l) = 3*l**2 + 943*l - u*l. Let c(b) be the second derivative of b**4/4 - 2*b. Calculate n(c(g)).
27*g**4
Let s(g) = -198*g**2. Let n(x) = -5737*x. What is s(n(r))?
-6516807462*r**2
Let l(c) = 459*c**2 - 18*c + 6. Let v(g) = -461*g**2 + 15*g - 5. Let s(r) = 5*l(r) + 6*v(r). Let f(p) = -3*p. Determine s(f(d)).
-4239*d**2
Let w(d) = 13*d + 3. Let c(f) = 43*f - 19 - 43*f + 570*f**2 - 568*f**2 + 45. Calculate w(c(v)).
26*v**2 + 341
Let m(z) = 4*z - 6*z - 7*z. Let r(a) = a**3 - 9*a**2 - 9*a - 3. Let k be r(10). Let y(x) = -k*x - 4*x + 15*x + 0*x. Calculate y(m(w)).
-36*w
Let x(f) = -14*f. Let v(k) = 853*k + 2. Calculate v(x(d)).
-11942*d + 2
Let x(v) = 106*v + 1. Let f(s) = -s**2 + 13867. Give f(x(b)).
-11236*b**2 - 212*b + 13866
Suppose 8 = 1038*p - 1034*p. Let v(w) = -3*w + 4*w - p*w. Let r(f) be the first derivative of -15*f**2/2 - 1. Determine v(r(z)).
15*z
Let v(j) = 798422*j. Let q(h) = 15*h**2. Give v(q(u)).
11976330*u**2
Let w(h) = 2*h**2 - 55*h. Let t(i) = 15873156*i. Give t(w(r)).
31746312*r**2 - 873023580*r
Let s(m) be the second derivative of -m**4/12 - 39*m**2/2 + 1175*m. Let h(t) = 4*t. Calculate h(s(w)).
-4*w**2 - 156
Let o(r) = 9*r. Let g(j) = -552*j + 162. Let m(x) = 12*x - 3. Let t(b) = -4*g(b) - 216*m(b). Give t(o(s)).
-3456*s
Let o(v) = 3*v. Suppose -1076 = -2*s + 2*n, -4*s + n - 2666 = -9*s. Let a(r) be the first derivative of 0*r**3 - r**3 - 552 + s. What is o(a(p))?
-9*p**2
Let h(a) = 5*a**2 - 19. Let c(q) be the third derivative of -q**5/20 - 131*q**2 - 3*q. Calculate c(h(x)).
-75*x**4 + 570*x**2 - 1083
Let u(x) be the third derivative of -3*x**7/560 + x**5/15 + 11*x**3/6 - 44*x**2. Let p(b) be the third derivative of u(b). Let g(n) = 3*n. Calculate g(p(d)).
-81*d
Let s(z) = -6*z - 94. Let k be s(-18). Let m(o) = -5*o + k*o - 8*o - 2*o. Let p(j) = -11*j. Calculate m(p(q)).
11*q
Let g(d) = 93*d**2 + 6*d + 6. Let q(v) = -97*v**2 - 6*v - 5. Let j(c) = 5*g(c) + 6*q(c). Let k(x) = 2*x. What is k(j(b))?
-234*b**2 - 12*b
Let b(t) = -5*t**2. Let x(c) be the second derivative of -413*c**3/6 - 10*c - 225. Give b(x(y)).
-852845*y**2
Let m(u) = 265286807*u**2 - 2. Let g(d) = 2*d. Determine g(m(v)).
530573614*v**2 - 4
Let p(l) = 47*l**2 - 3*l + 43. Let u(d) = -2*d**2. Calculate p(u(a)).
188*a**4 + 6*a**2 + 43
Let v(r) = -33*r + 4. Let q(g) = 725*g - 87. Let k(y) = -4*q(y) - 87*v(y). Let a(z) be the first derivative of 65 + 1/3*z**3 + 0*z**2 + 0*z. Calculate a(k(j)).
841*j**2
Let u(w) = 14*w**2 - w - 681. Let x(y) = 529*y**2. What is u(x(z))?
3917774*z**4 - 529*z**2 - 681
Let n(m) be the first derivative of m**2/2 + 33. Let q(h) = -114*h**2 + 364*h**2 - 135*h**2 - 112*h**2. What is q(n(b))?
3*b**2
Let z(k) = -29*k**2. Let x(u) = 87*u + 30*u - 14*u - 1090 + 1090. Give z(x(l)).
-307661*l**2
Let m(s) = 8*s**2. Let u(f) = -f**2 + 15*f + 5. Let z(x) = x**2 - 12*x - 6. Let o(v) = -4*u(v) - 5*z(v). What is m(o(i))?
8*i**4 - 160*i**2 + 800
Let l(n) = n**2. Let q(p) = -2240*p - 40. Let c(o) = 743*o + 14. Let b(a) = 20*c(a) + 7*q(a). Give l(b(t)).
672400*t**2
Let t(a) = -4*a**2. Let k(w) = -22*w. Let v(z) = 668*z - 68. Let g(p) = 29*p - 3. Let b(f) = -136*g(f) + 6*v(f). Let r(m) = -6*b(m) - 17*k(m). Give r(t(i)).
40*i**2
Let a(x) = -8443*x**2. Let t(i) be the first derivative of i**3/3 + 3139. What is t(a(z))?
71284249*z**4
Let g(r) be the first derivative of -5*r**2 - 687. Let y(z) = -11*z**2 + 3. Calculate g(y(m)).
110*m**2 - 30
Let u(m) = -24*m. Let g(d) = 26*d. Let o(i) = -5*g(i) - 6*u(i). Let q(p) be the first derivative of -p**2 - 76. What is q(o(n))?
-28*n
Let g(p) be the second derivative of 128*p + 0*p**2 + 0*p**3 + 1/6*p**4 + 0. Let d(l) = -l + 2. What is d(g(a))?
-2*a**2 + 2
Let x(y) = y - 297. Let r(j) = -63*j - 3. Calculate r(x(u)).
-63*u + 18708
Let u(h) = -7*h**2 + 221 - 215 + 6*h**2. Let p(z) = -4*z**2 + 26. Let t(s) = -6*p(s) + 26*u(s). Let b(n) = -9*n**2 - 2. What is t(b(g))?
-162*g**4 - 72*g**2 - 8
Let y(i) = 2*i**2 + 5751 + 5756 - 11507 - 164*i. Let o(m) = 3*m. Determine o(y(r)).
6*r**2 - 492*r
Let y(c) = c. Let p(v) be the third derivative of v**8/10080 - 17*v**7/840 + 61*v**5/60 + 5*v**2. Let o(s) be the third derivative of p(s). What is o(y(b))?
2*b**2 - 102*b
Let u(y) be the second derivative of y**3/6 - 191*y**2/2 - 117*y - 3. Let t(o) = -4*o. Give u(t(w)).
-4*w - 191
Let f(c) = -c. Let k(q) = -2738*q + 51. Let p(n) = 1373*n - 20. Let g(x) = 2*k(x)
|
{
"pile_set_name": "DM Mathematics"
}
|
**5 wrt a?
360*a**2
Let t(z) = -23*z**3 + 3*z**2 + 5*z + 127. Let d(j) = 24*j**3 - 2*j**2 - 4*j - 128. Let a(f) = -3*d(f) - 2*t(f). What is the first derivative of a(q) wrt q?
-78*q**2 + 2
Let y = -1 + 5. Suppose y*b - c = 40, 0 - 2 = -2*b - 4*c. Differentiate -4*h + 3*h - b - 4 + 1 wrt h.
-1
Let o(n) be the first derivative of 23*n**5 + 15*n**2/2 - 2*n + 132. Find the second derivative of o(y) wrt y.
1380*y**2
Let t = 19 + -13. Suppose -t*f + 25 = -f. What is the third derivative of 5 + m**2 - 5 + f*m**6 + 7*m**6 wrt m?
1440*m**3
Let z(v) be the first derivative of v**2/2 + 6*v - 2. Let m be z(-4). What is the third derivative of -10*j**2 + 15*j**2 + m*j**4 + 0*j**4 wrt j?
48*j
Let b(y) = y**5 + y**4 + y. Let t(z) = 88*z**5 + 4*z**4 + 52*z**2 + 4*z. Let w(s) = -4*b(s) + t(s). Find the third derivative of w(d) wrt d.
5040*d**2
Suppose -14 = -3*w - j, 3*j = 3*w + 9 - 3. What is the second derivative of w*r**4 - 3*r + 9*r + 6*r**4 wrt r?
108*r**2
Let c(g) be the second derivative of -g**6/10 - g**5/2 + g**4/3 + 5*g**3/6 + 15*g + 1. What is the third derivative of c(k) wrt k?
-72*k - 60
Let u(f) be the second derivative of -3*f**6/10 - 7*f**4/6 + 11*f**3/6 + 6*f**2 - 97*f. Find the second derivative of u(s) wrt s.
-108*s**2 - 28
Let a(f) be the second derivative of f**4/12 + 2*f. Let x be a(-1). What is the derivative of 7*y**3 + 4 + x - 7*y**4 - 7*y**3 wrt y?
-28*y**3
Let s(j) be the third derivative of 43*j**5/12 + j**4/8 - 5*j**3/2 + 416*j**2. What is the second derivative of s(v) wrt v?
430
Let c(k) be the first derivative of 0*k + 0*k**4 + 0*k**3 + 12*k**2 + 44/5*k**5 + 11. What is the second derivative of c(g) wrt g?
528*g**2
Let k(f) = -2*f**2 - 2 - 2 + 0*f**2. Let x(m) = 1 + m**2 - 1 + 0. Let w(u) = k(u) + 6*x(u). What is the first derivative of w(t) wrt t?
8*t
Suppose -5*g = 5*u - 21 - 59, -6 = -u + g. Suppose 0 = u*z - 9*z - 4. Find the third derivative of -4*y**2 + 4*y**2 + 0*y**z - 5*y**2 - 6*y**4 wrt y.
-144*y
Let o(k) = -78*k**3 + 11*k**2 - 7*k + 41. Let l(z) = -38*z**3 + 5*z**2 - 3*z + 21. Let t(p) = -9*l(p) + 4*o(p). What is the second derivative of t(y) wrt y?
180*y - 2
Let o(j) be the second derivative of 5*j**4/12 - 23*j**3/6 + 21*j**2/2 + 3*j. Let l(y) be the first derivative of o(y). Differentiate l(b) with respect to b.
10
Let l(s) be the first derivative of 0*s + 0*s**2 + 5/3*s**3 - 8 + 0*s**4 - s**5. Find the third derivative of l(y) wrt y.
-120*y
Let o(f) be the first derivative of 13*f**5/5 - f**2 - 56*f - 4. What is the first derivative of o(n) wrt n?
52*n**3 - 2
Let k(n) be the second derivative of -61*n**5/20 - n**3/3 - 24*n**2 + 5*n - 5. Find the first derivative of k(i) wrt i.
-183*i**2 - 2
Let f(j) = j + 2. Let d be f(2). Suppose -v - c + 7 = -0*v, -3*v + 2*c = d. Find the second derivative of 0*l - 2*l - 2*l - l**v + 5*l wrt l.
-2
Let a(x) be the first derivative of -x**7/21 - 3*x**5/20 - 13*x**2/2 + 8. Let r(f) be the second derivative of a(f). Find the third derivative of r(k) wrt k.
-240*k
Let z(s) be the first derivative of 73*s**2 - 260*s - 75. Find the first derivative of z(l) wrt l.
146
Let y(o) be the third derivative of 0*o**4 - 13/2*o**3 + 1/30*o**5 - 2*o**2 - 23/120*o**6 + 0*o + 6. What is the third derivative of y(j) wrt j?
-138
Let g = -5 + 1. Let u be 2/g + (-25)/(-10). What is the second derivative of -u*c - c + 5*c**3 + 6*c + c wrt c?
30*c
Suppose 0*u = -u + 1. Let o be u/2*(-12)/(-1). What is the third derivative of x**2 + o*x - 6*x - 5*x**5 wrt x?
-300*x**2
Let f(n) = -246*n**3 + 4*n**2 - 491*n. Let z(d) = -493*d**3 + 9*d**2 - 989*d. Let r(a) = 9*f(a) - 4*z(a). What is the second derivative of r(g) wrt g?
-1452*g
Let n be 4*10/(-30)*54/(-16). Let s(a) be the first derivative of n*a**2 + 0*a**3 + 0*a + 2 - 11/4*a**4. What is the second derivative of s(r) wrt r?
-66*r
Let w = 1 - -2. Suppose 2*m = -w*m + 20. Find the third derivative of -u**2 - m*u**6 + 5*u**2 + u**6 + 0*u**6 wrt u.
-360*u**3
What is the first derivative of 10*s**2 + 37 - 28 - 40 + 6*s + 23*s - 8*s**2 wrt s?
4*s + 29
Let m = 92 + -42. What is the third derivative of -7*q**2 + m*q**3 - 55*q**3 - 4*q**2 wrt q?
-30
Let c(u) be the first derivative of -205*u**3/3 + 59*u + 488. What is the derivative of c(y) wrt y?
-410*y
Let h(r) be the third derivative of -11*r**6/24 - r**5/60 - 7*r**4/24 + 63*r**2. What is the third derivative of h(g) wrt g?
-330
Suppose 15*h - 17*h = -5*w, 2*h = 3*w. Let s(j) be the first derivative of w*j**2 + 1/4*j**4 + 0*j + 7/3*j**3 + 2. Find the third derivative of s(r) wrt r.
6
Let u(a) be the first derivative of a**4/4 - 11*a**3/3 + 4*a - 5. Let n be u(11). Find the second derivative of n*l - 3*l + 2*l**2 + 3*l**2 wrt l.
10
Let d(q) = -q**2 - 8*q + 4. Let p be d(-3). Suppose 5*l - 9 = 16. Find the third derivative of 19 - l*f**2 + 2*f**5 - p wrt f.
120*f**2
Find the third derivative of 24*f**4 - 13*f**5 + 43*f**2 + 39*f**2 + 18*f**5 - 7*f**5 + 1 wrt f.
-120*f**2 + 576*f
What is the second derivative of 288*y + 388093 - 388093 + 395*y**5 wrt y?
7900*y**3
Let u(f) = f**2. Let v(r) = 2*r. Let j(l) = 29*l**2 - 12*l + 8. Let t(b) = -j(b) - 6*v(b). Let q(z) = -t(z) + 4*u(z). Differentiate q(a) with respect to a.
66*a
Suppose 24*u - 90 = 9*u. What is the third derivative of 8*d**2 - 53 + 53 - 17*d**6 - 2*d - 15*d**u wrt d?
-3840*d**3
Let t(d) be the third derivative of 13*d**5/12 + d**4/24 - d**3 - 37*d**2. What is the second derivative of t(a) wrt a?
130
Suppose 0 = -2*a - 4*f - 0 + 26, -4*a + 57 = 3*f. What is the second derivative of a*o - 17*o**4 - 11*o**4 - 6*o + 8*o**4 wrt o?
-240*o**2
Suppose 8*l = 3*l + 10. Let r(x) = -2 - x + 2 - x. Let z(k) = -k**3 + k**2 - 7*k. Let y(q) = l*z(q) - 7*r(q). What is the third derivative of y(o) wrt o?
-12
Let i = 56 + -33. Suppose 4*r - 1 = i. Find the third derivative of -r*v**2 + 6*v**2 + 4*v**3 + 3*v**2 + 2*v**2 wrt v.
24
Suppose -2*m = -5*i + 12, -3*m + m = -2*i. Let q be i/3*(-288)/(-12). What is the third derivative of 4*a**3 + q*a**2 - 2*a**3 + 3*a**3 - 28*a**2 wrt a?
30
Differentiate 17*k**4 + 32*k**4 + 271 + 13*k**4 - 625 wrt k.
248*k**3
Let q(r) be the second derivative of 0*r**2 + 0 - 3/20*r**5 + 0*r**4 - 1/3*r**3 + 11*r. What is the second derivative of q(u) wrt u?
-18*u
Let f(m) be the third derivative of m**9/504 + 3*m**6/40 + 9*m**5/20 - m**4/8 + 3*m**2 - 14. Find the third derivative of f(b) wrt b.
120*b**3 + 54
Let u(x) be the second derivative of x**6/15 - 28*x**5 - x**4/3 - 5*x**3/3 + 5*x - 111. Find the third derivative of u(f) wrt f.
48*f - 3360
Let t(h) = -3*h + 17. Let u be t(5). What is the third derivative of 14*o**5 - 12*o**2 - 13*o**u + 34*o**2 wrt o?
840*o**2
Let i be -4 + 7/1 - (0 + -1). Let t be (0 - -1)/((-1)/(-3)). Find the second derivative of 6*f - t*f**5 + i*f**5 - f wrt f.
20*f**3
Find the third derivative of -26*p**2 - 3 - 154*p**3 + 34*p**3 - 93*p**2 + 2 wrt p.
-720
Differentiate -g**3 + 6437*g**2 - 6437*g**2 - 97 + 43*g**3 wrt g.
126*g**2
Find the second derivative of 51 + 10*y + 19*y - 50 - 177*y**5 + 56*y wrt y.
-3540*y**3
Differentiate 909*f**4 + 1034*f**4 - 1856*f**4 + 131 wrt f.
348*f**3
Differentiate 184 + k + 14 + 62*k**2 - 611 + 177 + 50 with respect to k.
124*k + 1
Let c be ((-6)/4)/((-54)/(-36)). Let a(q) = q + 1. Let s(w) = w**2 - 12*w + 6. Let r(u) = c*s(u) + 6*a(u). Find the second derivative of r(b) wrt b.
-2
What is the second derivative of 17*h**5 - 63*h**5 - 2*h + 159*h**5 wrt h?
2260*h**3
What is the third derivative of 3*y**3 - 71*y**2 + 134*y**2 - 62*y**4 + 30*y**4 wrt y?
-768*y + 18
Suppose -4*g + 20 = -32. Let s = -11 + g. What is the third derivative of 7*x**2 + 0*x**s - 4*x**6 + 6*x**6 wrt x?
240*x**3
Let v(r) be the third derivative of r**7/70 - r**6/30 - 19*r**5/15 + 39*r**2. Find the third derivative of v(c) wrt c.
72*c - 24
Let u(c) = -77*c**4 - 11*c**2 + 17*c. Let h = 36 + -30. Let j(x) = 26*x**4 + 4*x**2 - 6*x. Let r(a) = h*u(a) + 17*j(a). Find the third derivative of r(v) wrt v.
-480*v
Let g be (-138)/(-15) - 1/5. Suppose 0 = -5*q - g + 24. Find the first derivative of -l**q - 13 + 6*l**3 + 4 wrt l.
15*l**2
Let i(l) be the third derivative of 0 + 0*l**4 + 3/70*l**7 + 0*l + 2/15*l**5 + 0*l**6 + 0*l**3 - l**2. Find the third derivative of i(z) wrt z.
216*z
Suppose -5 = 2*x + 3*l, 3*x - 5*l = -0*x + 40.
|
{
"pile_set_name": "DM Mathematics"
}
|
, given that -16*v**3 - 6*v**4 + v**4 - 9*v**3 + 0*v**4 - 20*v**2 = 0.
-4, -1, 0
Let l = 66 + -261/4. Let t(y) be the first derivative of -l*y**2 - 5 - 1/12*y**3 - 9/4*y. Let t(x) = 0. What is x?
-3
Let f(i) be the first derivative of -2*i**3/9 + 7*i**2/2 - 10*i/3 - 140. What is j in f(j) = 0?
1/2, 10
Solve 6/11*q - 16/11*q**5 - 2/11 + 14/11*q**2 - 36/11*q**4 - 14/11*q**3 = 0 for q.
-1, 1/4, 1/2
Let u(w) = 11*w + 90. Let c be u(-8). Let i(j) be the first derivative of -c + 5/4*j**4 + 25/3*j**3 + 20*j + 20*j**2. Suppose i(a) = 0. Calculate a.
-2, -1
Let a be (3 + -4)*(9/75)/(-3). Let n(t) be the second derivative of a*t**5 + 0 - 1/10*t**4 + 0*t**2 + 1/15*t**3 - 8*t. What is c in n(c) = 0?
0, 1/2, 1
Let r(n) be the third derivative of 5*n**5/28 + 5*n**4/28 + n**3/14 - 2*n**2 + 12. Find h, given that r(h) = 0.
-1/5
Let s(k) = -16*k + 816. Let p be s(51). Solve 3*y**3 + 3/2*y**4 - 3*y + p*y**2 - 3/2 = 0 for y.
-1, 1
Let x = -407 - -30524/75. Let b = x + 77/150. What is f in f - 1/2*f**2 - b = 0?
1
Solve -8 + 138*t**3 - 112/3*t - 434/3*t**4 + 98/3*t**5 + 58/3*t**2 = 0.
-2/7, 1, 3
Let o be -11 + ((-2472)/(-108) - (-44)/(-4)). Factor 4/9*q**4 + 0*q**3 + o*q + 0 - 4/3*q**2.
4*q*(q - 1)**2*(q + 2)/9
Find b, given that 36*b + 18*b**2 + 5 + 3*b**3 + 30 - 11 + 0*b**3 = 0.
-2
Let l(b) be the second derivative of -b**4/90 - 13*b**3/15 + 8*b**2/3 - 364*b. Factor l(m).
-2*(m - 1)*(m + 40)/15
Let x(r) = 3*r**3 + 5*r**2 + 10*r + 12. Let l(k) = -2*k**3 - 3*k**2 - 9*k - 11. Let p(s) = -4*l(s) - 3*x(s). Solve p(j) = 0.
-4, -1, 2
Factor -15 - 315/4*j**2 - 75/4*j**3 + 72*j.
-3*(j + 5)*(5*j - 2)**2/4
Let i = -4755 + 23777/5. Factor -2/5*h**2 + 4/5 - i*h.
-2*(h - 1)*(h + 2)/5
Find m, given that 118/11*m + 26/11*m**3 + 94/11*m**2 + 2/11*m**4 + 48/11 = 0.
-8, -3, -1
Let o be 39/6 - (-36)/(-24). Let q(c) be the first derivative of 0*c + 2/5*c**5 - 15/22*c**4 - 1/11*c**6 - o + 6/11*c**3 - 2/11*c**2. Find w such that q(w) = 0.
0, 2/3, 1
Suppose -15*h + 55 = -65. Factor 0 - 14/3*r**4 - 2*r**2 - 4/3*r + h*r**3.
-2*r*(r - 1)**2*(7*r + 2)/3
Let q be 3*(-4)/(-6) - (5 - 6). Solve -5*x - q*x**3 + x**2 + 7*x**3 + 8 + x - 9*x**2 = 0 for x.
-1, 1, 2
Let a(l) be the second derivative of l**5/130 - l**4/39 - l**3/39 + 2*l**2/13 + 2*l + 7. Find y such that a(y) = 0.
-1, 1, 2
Let n(r) = 2*r**2 + 12*r + 12. Let v be n(-7). Let y be (-1 - -5) + v/(-7). Let 0*j - y*j**2 + 0 + 1/7*j**3 = 0. Calculate j.
0, 2
Let v be -100 + 101 - 4/18. Determine o, given that -v*o**3 + 2/3 - 29/9*o + 10/3*o**2 = 0.
2/7, 1, 3
Let q(c) be the second derivative of -5*c**4/12 + 15*c**3/2 + 97*c. Determine p so that q(p) = 0.
0, 9
Let m(f) = f**3 + 16*f**2 - 2*f + 23. Let s be m(-16). Let b = 277/5 - s. Determine t so that 4/5*t**2 + 2/5*t + 0 + b*t**3 = 0.
-1, 0
Let u(j) be the first derivative of -j**3/21 - 6*j**2/7 - 36*j/7 - 147. Find s such that u(s) = 0.
-6
Factor -215*r**3 - 15*r**2 - 19*r**2 - 180 - 240*r - 31*r**2 + 210*r**3.
-5*(r + 1)*(r + 6)**2
Suppose k**3 - 41*k**2 - 13*k**2 - 674*k - 6*k**3 - 125 + 499*k - k**2 = 0. What is k?
-5, -1
Let p(q) = -6*q**2 - 3*q - 11. Let o(t) = -t**2 - 2*t - 1. Let g(k) = 10*o(k) - 2*p(k). Find n, given that g(n) = 0.
1, 6
Let w be (1107/(-1845))/(2/10*6 - 2). Let 0*d + w*d**2 - 3/4 = 0. What is d?
-1, 1
Let k(j) be the second derivative of -3*j**6/5 + j**5/5 + 2*j - 6. Let k(b) = 0. Calculate b.
0, 2/9
Let -441/4*a - 1/4*a**3 + 0 + 21/2*a**2 = 0. What is a?
0, 21
Let r = -25943/12 - -2162. Let m(i) be the first derivative of 9 - 1/4*i**2 + 0*i + 1/4*i**4 + 0*i**5 + 0*i**3 - r*i**6. Find b such that m(b) = 0.
-1, 0, 1
Let o be ((-7)/5)/((-6)/30). Suppose -2*x + 3*x = o. Factor -1 - 1 + x*t - 3*t - 2*t**2.
-2*(t - 1)**2
Let a(u) = 24*u - 6. Let c be a(6). Factor c + p**2 - 2*p**2 - 136 - p.
-(p - 1)*(p + 2)
Solve 2*h - 8/15*h**2 + 12/5 - 2/15*h**3 = 0 for h.
-6, -1, 3
Suppose 3*p - 7*p = 4*p. Let i(b) be the third derivative of -1/8*b**4 + 0*b + 1/60*b**5 + p + 1/3*b**3 - 6*b**2. Let i(f) = 0. Calculate f.
1, 2
Let s be 6 - (0 + 2 + 1). What is w in 7*w**2 + 4*w + 5*w**s + 41*w - 37*w**2 = 0?
0, 3
Suppose 0 = 8*y - 5 - 19. Find i such that 6*i**4 + 24*i**y - 16*i**3 - 12*i**2 - 2*i**4 = 0.
-3, 0, 1
Factor -12*c**2 + 17*c**2 - 60*c - 80*c.
5*c*(c - 28)
Let j be (-3)/12 + 20/16 - 1. Let v(l) be the first derivative of -1/6*l**3 + j*l + 5 + 0*l**2 - 1/8*l**4. Let v(b) = 0. Calculate b.
-1, 0
Find o such that 3*o**3 - 129*o**3 - 38*o**2 - 29*o**2 + 10*o**4 - 2*o**2 + 17*o**2 = 0.
-2/5, 0, 13
Suppose 3*q + 2*q - 10 = 0. Suppose 2*f = -0*f - 6, -3*o + 15 = -2*f. Factor -9*j**q - 22*j**4 - 2*j**4 - 9*j**5 - 8*j**3 + o*j**2 - 13*j**3.
-3*j**2*(j + 1)**2*(3*j + 2)
Let c be 210/(-11200)*((-2)/18)/1. Let o(y) be the third derivative of 0 + 6*y**2 - c*y**6 - 1/32*y**4 + 0*y + 1/80*y**5 + 1/24*y**3. Factor o(u).
-(u - 1)**3/4
Let o(b) be the second derivative of -2*b**6/15 - 6*b**5/5 - 3*b**4 - 192*b. Factor o(x).
-4*x**2*(x + 3)**2
Let y(l) = l**2 - 9*l + 8. Let s(m) be the first derivative of -m**2/2 + m - 12. Let f(o) = -35*s(o) + 5*y(o). Let f(x) = 0. What is x?
1
Let b = -12 - -23. Let c = b + -9. Let -3*g - g + g**c + 2*g = 0. Calculate g.
0, 2
Let d = 862 + -6026/7. Factor -3/7*m**3 - 2/7*m**2 + 1/7*m**4 - d + 12/7*m.
(m - 2)**2*(m - 1)*(m + 2)/7
Let i(m) = -m**3 + m**2 - 5*m + 2. Let a(j) = -j**2. Let t(w) = 12*a(w) - 4*i(w). What is n in t(n) = 0?
1, 2
Let h(q) be the second derivative of q**5/360 + q**4/72 - q**3/12 - 3*q**2 - 42*q. Let m(k) be the first derivative of h(k). Determine z, given that m(z) = 0.
-3, 1
Let i(n) be the first derivative of n**6/6 + n**5/5 - 13*n**4/4 - 25*n**3/3 - 6*n**2 + 195. Factor i(y).
y*(y - 4)*(y + 1)**2*(y + 3)
Factor -28322/5 - 476/5*o - 2/5*o**2.
-2*(o + 119)**2/5
Let k(f) be the third derivative of 0 + 0*f**6 + 0*f**4 + 2*f**2 + 0*f + 1/70*f**7 - 1/20*f**5 + 0*f**3. Determine y, given that k(y) = 0.
-1, 0, 1
Let l(s) be the first derivative of -4/3*s**3 + s**4 + 0*s + 4/5*s**5 - 3 - 2*s**2. Factor l(c).
4*c*(c - 1)*(c + 1)**2
Let h(k) = 4*k**2 + 8*k + 4. Let o(t) = 4*t**2 + 8*t + 4. Suppose -g - 25 = 4*a - 0*g, -a - 5*g - 30 = 0. Let c(y) = a*o(y) + 4*h(y). What is s in c(s) = 0?
-1
Let h(r) be the third derivative of 0*r**3 + 1/21*r**4 + 1/735*r**7 - 2/105*r**5 + 0 + 0*r - 1/420*r**6 + 33*r**2. Determine l so that h(l) = 0.
-2, 0, 1, 2
Let l be 0/(2/(2/(-1))*2). Let j(u) be the second derivative of 0*u**2 - 1/10*u**5 - 1/3*u**4 + 2*u - 1/3*u**3 + l. Solve j(y) = 0.
-1, 0
Suppose -v = -4*z + 11, z = 3*z - v - 7. Factor 1/4*k**z - k + 3/4.
(k - 3)*(k - 1)/4
Let b(l) be the second derivative of -l**5/20 + l**4 - 29*l**3/6 + 9*l**2 - 31*l + 1. Factor b(z).
-(z - 9)*(z - 2)*(z - 1)
Let 39/2*h - 12*h**2 - 9 + 3/2*h**3 = 0. What is h?
1, 6
Let k be (-20)/70*11/(1760/(-56)). Factor k*f**3 + 1/10*f**2 - 1/10*f - 1/10*f**4 + 0.
-f*(f - 1)**2*(f + 1)/10
Let n(p) = -p**2 + 13*p + 4. Let w(v) = v**2 - v + 1. Let k(d) = 2 - 6 + 4 - 1. Let b(q) = -2*k(q) - w(q). Let c(m) = -4*b(m) + n(m). Factor c(s).
3*s*(s + 3)
Let c(q) = -3*q**2 + 31*q + 12. Let s(j) = -6*j + 8. Let f be s(5). Let y(t) = 6*t + 1 - 4 - 14*t + t**2. Let v(a) = f*y(a) - 6*c(a). Solve v(l) = 0 for l.
-3/2, -1
Suppose 46*k + 45 - 363 + 42 = 0. Let l = 138/35 + -22/7. Solve -k*m**2 - 26/5*m + l = 0 for m.
-1, 2/15
Let t(b) be the first derivative of -10*b**3/33 - 27*b**2/11 - 20*b/11 - 41. Factor t(i).
-2*(i + 5)*(5*i + 2)/11
Suppose -5*o - 3 - 7 = 0. Let x be o*(1 + 5/(-2)). Let -81*v**5 - 108*v**3 - 30*v**2 - 3*v - 3 - 33*v**4 + x - 129*v**4 = 0. What is v?
-1, -1/3, 0
Let k(l) be the third derivative of -13*l**2 + 0*l + 1/112*l**8 + 2/5*l**5 - 3/8*l**4 + 0 + 0*l**3 + 0*l**7 - 3/20*l**6. Factor k(v).
3*v*(v - 1)**3*(v + 3)
Suppose -71*y + 75*y = 8. Let j(a) be the first derivative of -2/5*a**y + 2/15*a**3 - 1 + 2/5*a. Factor j(t).
2*(t - 1)**2/5
Suppose -a + 4 = 0, -3*a + 37 = 5*v + 15. Suppose 2*p + p + 5*h - 6 = 0, h - v = -p. Factor 48*j - 15 + 17*j**3 - 52*j**p - 2*j**4 + 7*j**3 - 2*j**4 - 1.
-4*(j - 2)**2*(j - 1)**2
Let o(s) be the first derivative of 10 + 0*s - 1/420*s**5 + 0*s**2 + 1/42*s**4 + 8/3*s**3 - 1/1260*s**6. Let y(v) be the third derivative of o(v). Factor y(r).
-2*(r - 1)*(r + 2)/7
Let u be (276/40 - 7)/((-36)/30). Let h(m) be the first derivative of 1/9*m**3 +
|
{
"pile_set_name": "DM Mathematics"
}
|
- 29 = -n. Is o a multiple of 6?
True
Let f = 18 + -14. Suppose z + 4*q - 15 = 0, -3*z - f*q = -127 + 42. Is 7 a factor of z?
True
Let m(z) = 23*z**2 + 80*z + 2. Is m(5) a multiple of 48?
False
Suppose 470 = 4*d - 1754. Is 20 a factor of (-3)/((-18)/d) + (-22)/33?
False
Let o = 9 - -2176. Does 23 divide o?
True
Let y be 5 - (-168)/(-16) - 2/4. Is 8 a factor of 0 + y/(-3) - -120?
False
Let f = 72 - -321. Is 33 a factor of f?
False
Let h = 58 + 89. Is 49 a factor of h?
True
Suppose 7*q - 5914 = 2367. Is 74 a factor of q?
False
Let f be 9/2 + (-2)/4. Let r(p) = p**3 - p. Let m be r(1). Suppose y - 50 = -f*t, m = 4*y - t + 105 - 390. Does 14 divide y?
True
Let r = 12 - -13. Suppose -105 = -30*h + r*h. Does 21 divide h?
True
Does 22 divide (2 + (-70)/5)*-196?
False
Let g = -82 - -99. Suppose -g*a + 400 = -12*a. Is 10 a factor of a?
True
Let b be (-2)/1*(636/(-8) + -3). Let m = b - 116. Does 49 divide m?
True
Let c(v) = 11*v**2 - 4*v + 3. Let d be c(-5). Suppose -5*h = -d - 92. Does 28 divide h?
False
Suppose 0*r - 20 = -3*r + 4*w, 2*r = -5*w - 25. Suppose r = -3*n - 3*g + 96, -3*n + 2*g + 47 = -2*n. Is n a multiple of 37?
True
Suppose 4*s + 3*s - 28 = 0. Suppose s*w = 243 - 27. Is 18 a factor of w?
True
Suppose 5904 + 2399 = 23*l. Is 14 a factor of l?
False
Let z be 8/((-2)/6 - -1). Let h = 356 + -358. Let t = z - h. Is t a multiple of 9?
False
Is 12 a factor of (4/((-16)/(-5)))/((-3)/(-144))?
True
Suppose 4 = -4*s - 4*n, -3*s - 7*n + 8*n = -9. Let a be (2/(-3))/(2/(-6)). Suppose -a*h - s*h = -156. Is 13 a factor of h?
True
Let o be (-3 - -4 - 0)*4. Is o*(2 + 9/12) a multiple of 11?
True
Suppose -z - 12 = 2*h - 378, 0 = h - 5. Suppose n + n = z. Let w = n + -120. Is 25 a factor of w?
False
Let c = 5729 + -3213. Is 34 a factor of c?
True
Let y = 72 - 47. Let u = y - 31. Is (159/u)/((-2)/4) a multiple of 38?
False
Is 12 a factor of 1620/(-20)*((-30)/9 - 2)?
True
Let n be (7/(-14))/((-1)/10). Suppose 5*q - 4*u = -12, -2*q - n*u - 6 = -3*q. Is 0 + (-2 - q) - -8 a multiple of 3?
False
Let y(w) = 14*w + 14. Let j be y(5). Is (j/49)/(1/7) a multiple of 3?
True
Let v(g) = -2*g**2 - 10*g + 497. Does 10 divide v(0)?
False
Suppose 57*v = 53*v - 28. Let m(b) = -b**3 - 4*b**2 - 3*b - 5. Let i(g) = -g**3 - 3*g**2 - 2*g - 6. Let o(y) = 5*i(y) - 6*m(y). Is o(v) a multiple of 15?
False
Suppose -69*b = -151680 - 22200. Does 24 divide b?
True
Let h be (-1 + 3/(-3))*6/4. Does 26 divide h/((-3)/538)*(-27)/(-54)?
False
Let x(y) = y**3 + 13*y**2 - 5*y - 20. Is 5 a factor of x(-13)?
True
Let y(x) = 47*x**2 + 8*x + 7. Let r(l) = l**2 + l + 1. Let s = 10 - 9. Let u(b) = s*y(b) - 6*r(b). Does 13 divide u(-1)?
False
Let u(f) = f**2 + 3*f - 2. Suppose 5*l + 4*h + 0*h - 20 = 0, l - h + 5 = 0. Let p = 6 - l. Does 23 divide u(p)?
False
Let v be ((0/(-1))/(-1))/(-24 - -26). Suppose 3*n + 14 = 29, v = -2*j + 5*n + 503. Is j a multiple of 12?
True
Let m(q) = 20*q**2 - 10*q + 86. Does 32 divide m(7)?
False
Let x(d) = 6*d - 5. Let z be x(3). Suppose -z*c = -10*c - 375. Does 15 divide c?
False
Suppose 3*t + 429 = 5*u, -u + 2*u - t = 87. Let j = 188 - u. Is 15 a factor of j?
False
Let a be (10/(-6) + 2)*15. Suppose 0 = -0*d + a*d - 320. Is 5 a factor of d?
False
Let c(p) = 7*p + 2. Suppose -3*h = d + 10 - 32, 3*h - 12 = -3*d. Let n be c(h). Suppose 3*i - 2*l = -4*l + n, -54 = -2*i - 4*l. Does 5 divide i?
False
Let b(g) = -g**3 + 16*g**2 + 15*g + 71. Does 20 divide b(15)?
False
Let l be 2273/(-4) - (-3)/12. Let q be 2/((-4)/l*4). Suppose -q = -3*f + 1. Is 12 a factor of f?
True
Let q(w) = 65*w - 10. Is q(5) a multiple of 12?
False
Suppose 0 = -27*k + 5*k + 1584. Is 24 a factor of k?
True
Let b = -90 - -389. Is 18 a factor of b?
False
Let m be (-18)/21*(23*-5 + 3). Let z = 3 + -3. Suppose z*p - m = -4*p. Is p a multiple of 6?
True
Let r = -353 - -379. Is 26 a factor of r?
True
Let v = -204 + 290. Is 9 a factor of v?
False
Suppose 2*v - 5*m + 7 = 0, -4 = -2*v - 3*m - 19. Is (-16 - -8) + 6 - 23*v a multiple of 34?
True
Let t(a) = a**2 + a - 6. Let y be t(2). Is -5 - (-279 - (y + 2)) a multiple of 23?
True
Let t = -51 + 23. Let j = 6 - t. Let c = 61 - j. Does 9 divide c?
True
Suppose -9*b + 438 = 168. Suppose -2*q + 3*q + 5*v - b = 0, -4*v = -5*q + 150. Is 10 a factor of q?
True
Let z(r) = -11*r + 50. Is 10 a factor of z(0)?
True
Let n = 78 + 34. Let g = -54 + n. Is 38 a factor of g?
False
Suppose -8*j + 183 = -537. Is 18 a factor of j?
True
Let d(b) = 2*b - 2. Let o be d(3). Let l be 54/(-6)*(0 - 1). Suppose -3*i + q = -22, 3*i - l*q = -o*q + 38. Does 6 divide i?
True
Let g = 2 - 8. Let z = 4 + g. Is 6 a factor of (16*(-2)/1)/z?
False
Let j = 2501 + -779. Does 14 divide j?
True
Let p = 32 - 29. Is (-3)/p*(-26 - -3) a multiple of 23?
True
Suppose -f = -11 + 14. Let a = 2 - f. Is 5 a factor of a?
True
Suppose 0 = -0*h - 3*h + 3*f + 69, f = 3*h - 63. Suppose -5*a = -2*v - h, -v + 4*v = -2*a + 27. Does 6 divide a?
True
Let h(u) = 3*u**2 + 15*u - 14. Let l(p) = p**3 - 6*p**2 - 8*p. Let r be l(7). Is 7 a factor of h(r)?
True
Suppose -3*q - 354 = -6*q. Let a = 232 + q. Suppose r - z - 73 = 0, 6*r = r + 2*z + a. Is 18 a factor of r?
False
Suppose 0 = 5*u - 2*u + 30. Is (-40)/16*88/u a multiple of 11?
True
Let u(w) = w**3 + 19*w**2 + 10*w - 41. Is u(-18) a multiple of 2?
False
Suppose -409 = -5*d + 196. Does 15 divide d?
False
Let k = 5 + 67. Is 3 a factor of k?
True
Suppose -6*y + 25 = -y. Suppose -q = -3*t + 796, 4*t - y*q = 3*t + 284. Suppose 0 = 3*z + z - t. Is 11 a factor of z?
True
Suppose 0 = -r + c + 5, 0 = -r - 2*r - 5*c - 1. Suppose -3 = -r*z + 3*o, 4*z - 25 = -3*o - 7. Is 3 a factor of z?
True
Let h = 40 - 35. Suppose 0 = -x - h*d + 90, -3*d + 49 + 161 = 3*x. Is 13 a factor of x?
True
Let c be -2*(-4 - 28/(-8)). Does 55 divide 3/(c - 225/228)?
False
Suppose 2*i + 3*m - 614 = 7*m, -i = -4*m - 305. Is 28 a factor of i?
False
Let l(t) = -t**3 + 9*t**2 - 9*t + 19. Let k be l(8). Let d = 4 - k. Does 24 divide -36*4*d/14?
True
Suppose u + 1 = 7. Let x = 8 - u. Is (12/(-24))/(x/(-108)) a multiple of 27?
True
Let w(m) = m - 22. Let d be w(20). Let r(b) = -5*b**3 - b**2 + 2*b. Is 16 a factor of r(d)?
True
Suppose -4*i - 10 = -2*i, u - 4*i - 540 = 0. Is 8 a factor of u?
True
Suppose 0 = 5*j - 383 + 58. Is (8 - 5 - 8) + j a multiple of 12?
True
Let z(l) = -9*l**3 + 2*l**2 + 4*l. Let a be z(-2). Let r = a + -15. Is r a multiple of 12?
False
Let m(f) = 3*f**2 + 22*f - 397. Does 95 divide m(-27)?
False
Let n = -73 - 28. Let w = n - -143. Does 21 divide w?
True
Suppose 3*o + 1 = 4*o. Does 18 divide o/(-1)*34*-2?
False
Let v be (79*-7)/(-14 + 13). Suppose 5*k + v = 1698. Suppose 5*l - k - 11 = 0. Is 15 a factor of l?
False
Suppose 0 = -22*f + 1147 + 3935. Is 6 a factor of f?
False
Let n(l) = -208*l**3 - 3*l**2 + 2. Let c be n(-1). Let m = c + -22. Does 21 divide m?
False
Let a(j) = -11*j**3 + 3*j + 7. Let w be a(-3). Suppose -5*i = -3*b - b + w, 2*i = -b + 90. Is b a multiple of 16?
True
Suppose -6 + 5 = -2*g + 3*v, -2 = -2*g + 2*v. Suppose -5*l = 2*r - 107, 2*r - 3*r = g*l - 51. Does 10 divide r + -2*4/8?
True
Let s = 25 - 22. Is s - -9 - 2 - 1 a multiple of 5?
False
Let l = -391 + 1191. Does 50 divide l?
True
Let n be 17/(-4) - 1/(-4). Let x be (3/4)/(n/80). Is 18/(-4)*20/x a multiple of 3?
True
Let u be (-1)/(((-4)/(-20))/1). Let t = 13 - u. Is 6 a factor of t?
True
Suppose -10402 = -25*c - 1902. Is c a multiple of 2?
True
Let k(a) = -6*a**3 + 13*a**2 + 8*a + 9. Let v be k(-10). Suppose 2*q - 4*m - 2902 = -3*m, -5*q - 4*m + v = 0. Is 2*(q/6)/7 a multiple of 23?
True
Let m(t) = 3*t - 9 - 2*t + 12. Let d be m(3). Suppose 0 = -2*k - 0*w - 2*w + 8, 0 = 2*k - 5*w + d. Is k a multiple of 2?
True
Let c(f) = -3*f + 5. Let j be c(4). Let o be ((-1)/((-2)/69))/(9/6). Let d = j + o. Does 16 divide d?
True
Let x = 460 - 216. Does 14 divide x?
False
Let f = -98 + -481. Let a = 814 + f. Does 14 divide a?
False
Suppose -3*y = -7*y + 16. Suppose 3*o - 2*m = 98 + 27, -4*o + y*m + 160 = 0. Suppose 3*u = -0*v + 2*v + 70, -2*u + o = -3*v. Is 12 a factor of u?
True
Let a be 42/(-5) + 4/10. Let q be 12/3*12/a. Does 10 divide (-732)/(-36) + 2/q?
True
Let l(j) = -j**3 + 14*j**2 + 3*j - 2. Let m be l(14). Suppose -4*t + 76 = 2*u, -2*u + m = -4*t - t. Is 10 a factor of u?
True
Let t be ((-2)/3)/(16/(-48)). Is 2 a factor
|
{
"pile_set_name": "DM Mathematics"
}
|
6. Calculate the remainder when 32 is divided by j.
10
Let p(w) = 30*w**2. Let x be p(1). Let y(i) = -i**2 - 8*i - 5. What is the remainder when (64/(-10))/((-6)/x) is divided by y(-4)?
10
Let k(r) = -r - 5. Let b be k(5). Let s = -8 - b. Let z(h) = -h**2 + 3*h - 1. What is the remainder when s is divided by z(1)?
0
Calculate the remainder when 45 is divided by (-2 - -4) + 13 + 1 + 0.
13
Let m(t) = -t**2 - t + 1. Let f(n) = n**3 + 3*n**2 - 15*n + 14. Let x(u) = f(u) - 5*m(u). Calculate the remainder when x(-9) is divided by 10 - 0/(-2) - 0.
8
Suppose 0 = -5*m + 15 + 10. Let b = m - 3. What is the remainder when 7 is divided by b?
1
Suppose 39 + 26 = 5*y. Calculate the remainder when y is divided by 7.
6
Let q(n) = 9*n**2 + 2*n. Let w be q(2). Suppose 4*p - w - 36 = 0. What is the remainder when p is divided by 11?
8
Suppose 0 = -2*a + 3*l + 31, l + 24 = 3*a - 26. Suppose 5*v = 5*k - 25, 3*k - 4*v + 0 - a = 0. What is the remainder when 5 is divided by k?
2
Let g = -30 - -44. Calculate the remainder when g is divided by 3.
2
Let v be 0 - (-1)/((-1)/2). Calculate the remainder when 7 is divided by ((24/(-3))/v)/1.
3
Let g = -12 + 15. Suppose 40 = -g*y + 5*y. Calculate the remainder when y is divided by 7.
6
What is the remainder when 5 is divided by (0 - 1/1) + 4?
2
Let a(n) = -n**2 + 8*n - 1. Let v be a(4). Suppose 9*s - v = 4*s. Let b = s - -2. Calculate the remainder when b is divided by 3.
2
Let k(u) = u**2 - 6*u + 3. Suppose -3*d - 39 = -0*d. Let m = d + 20. What is the remainder when k(m) is divided by 4?
2
Let d(i) = -37*i**3 + 3*i + 2. What is the remainder when 142 is divided by d(-1)?
34
Calculate the remainder when 88 is divided by ((-6)/(-1))/2 - -15.
16
Suppose 3*q = -4*z - z + 40, 0 = 5*q - 5*z. Calculate the remainder when (-3 - 0)/((-3)/4) is divided by 3/(-2 - -1) + q.
0
Let p(f) = f + 17. Suppose o + 5 = -3. Calculate the remainder when p(o) is divided by 3.
0
Let o(b) = -b**2 - 8*b. Suppose -5*q - 4*w = -7, 0 = 6*w - w + 10. Suppose 63 = -0*g + q*g. Calculate the remainder when g is divided by o(-6).
9
Let u be 50/12 - (-5)/(-30). Suppose -183 = -u*a + 53. Calculate the remainder when a is divided by 20.
19
Let p(c) = -c + 49. What is the remainder when 47 is divided by p(33)?
15
Let s = -13 + 7. Let g(a) = -14*a - 5. What is the remainder when g(s) is divided by 20?
19
Calculate the remainder when (-392)/(-12) + 1/3 is divided by 12.
9
Suppose -7 - 3 = k. Calculate the remainder when (-524)/k + (-4)/10 is divided by 18.
16
Let h = 2 + 0. Suppose -4*i + h = -6. Suppose -13 - 23 = -i*j. What is the remainder when j is divided by 10?
8
Suppose 0 = 3*j - 2*j. What is the remainder when 9 + (-3)/(-3) + j is divided by 6?
4
Let y = 14 - 10. Calculate the remainder when 10 is divided by y.
2
Let l(q) = 8*q**2 + 6. Calculate the remainder when l(-2) is divided by 11.
5
Let k(w) = -9*w**3 - 2*w**2 - 2*w - 2. Let x be k(-2). Calculate the remainder when 1/(-2) - x/(-4) is divided by 9.
7
Suppose 378 = -5*y + 3*x, -2*y + 2*x - 79 = 73. What is the remainder when 14 is divided by (-2)/(-8) - y/20?
2
Let g(k) = -2*k**2 + 5*k - 8. Let l be g(6). Let m = 86 + l. What is the remainder when m is divided by 19?
17
Suppose -23*m = -26*m + 15. Let q = 284 + -198. Suppose 5*h = -m*i - q + 416, -i - 249 = -4*h. Calculate the remainder when h is divided by 16.
15
Let w = 26 + -10. Let i(x) = -x**2 - 17*x - 13. Calculate the remainder when i(-12) is divided by w.
15
Let a(d) = -d**2 - 7*d - 5. Let t be a(-6). Suppose 3*g + 2*m - 26 = 0, 5*m + 20 = 3*g + t. Suppose -h + 16 = 1. Calculate the remainder when h is divided by g.
7
Let t = -21 + 102. What is the remainder when t is divided by 14?
11
Calculate the remainder when 95 is divided by 9/(-4)*(-320)/30.
23
What is the remainder when 32 is divided by (36 - 2)*1/2?
15
Calculate the remainder when 39 is divided by 3*4/(-66) - 233/(-11).
18
Suppose 3*h - 5*c = 7*h + 24, -5*h - 4*c = 21. Let j be h*(-9 + (-3 - -6)). Let w = 4 + j. What is the remainder when 39 is divided by w?
9
Calculate the remainder when 1209/26*(-4)/(-6) is divided by 17.
14
Let p = 211 - -129. What is the remainder when p is divided by 38?
36
Suppose 3*l - 4*l + 20 = -3*n, -l = 4*n + 8. Suppose l*r = 4*r + 8. Let z = -13 - -18. What is the remainder when z is divided by r?
1
Let n = 44 + -10. Let j = 69 - n. What is the remainder when j is divided by 18?
17
Suppose 14 = k - 5. Suppose -6 = -5*s + k. What is the remainder when 18 is divided by s?
3
What is the remainder when 150 is divided by 2/5*(-4 - 2 - -101)?
36
Let t be 176/(-2 + 4) - -2. Suppose 4*d - 14 = t. Calculate the remainder when d is divided by 14.
12
Suppose 3*n - v - 11 = 0, -3*v + 27 = 2*n + n. Calculate the remainder when n is divided by -5*(-5)/(50/6).
2
Let m = 209 - 112. Calculate the remainder when m is divided by 20.
17
What is the remainder when 6/4*(-36)/(-6) is divided by 5?
4
Suppose 4 - 49 = -3*k. What is the remainder when k is divided by 9?
6
Let p = 66 - 63. What is the remainder when 21 is divided by p?
0
Suppose 0 = 5*r + 15, -f + 29 = 3*f + 5*r. What is the remainder when (-658)/(-21) + 1/(3/2) is divided by f?
10
Suppose -3*s - 2 = -23. Calculate the remainder when s is divided by 3.
1
Let t be 92 - 4/(-7 + 3). Suppose 6*q + 27 = t. What is the remainder when 30 is divided by q?
8
Let y be 14/5*(-45)/(-18). Let a(m) be the second derivative of -m**5/20 + 2*m**4/3 - 7*m**3/6 + 4*m**2 + m. Calculate the remainder when a(y) is divided by 5.
3
Let b(x) = x + 2. What is the remainder when 24 is divided by b(11)?
11
Suppose -5*q = 4*x + 28, -q + 2 - 10 = 2*x. Let u(c) = -c**3 - 5*c**2 - c + 3. Let y be u(q). What is the remainder when 18 is divided by (1 + 19)*y/(-18)?
8
Calculate the remainder when 23 is divided by (-52)/6*30/(-20).
10
Suppose 4 - 34 = -g. Suppose b = g + 9. Suppose -4*z = -m - 0*z - 2, -48 = -2*m - 5*z. What is the remainder when b is divided by m?
11
Suppose 0 = 16*k - 14*k - 48. What is the remainder when 90 is divided by k?
18
Calculate the remainder when 151 is divided by (1292/272)/(9/8 + -1).
37
Suppose -5*o + 10 = -165. Let k = 38 + -26. Calculate the remainder when o is divided by k.
11
Let h(w) = -w**2 + w - 56. Let b be h(0). Let n = b + 84. Calculate the remainder when n is divided by 15.
13
Suppose p - 5*p - 5*j + 126 = 0, -2*p = -3*j - 74. What is the remainder when 101 is divided by p?
33
Let r be 0/1 - (-16)/8. What is the remainder when (-4)/r - (-1 + -77) is divided by 26?
24
Suppose 4*a + 34 = 6*a. Let w(b) = b**2 - b. Let o(h) = 2*h**2 - h. Let d be o(-1). Calculate the remainder when a is divided by w(d).
5
Let c be 0/(-3 + (-2)/(-2)). Suppose c*q + 2*y = -q + 29, 0 = 3*q - 4*y - 97. Suppose 0*b + b - 16 = 0. Calculate the remainder when q is divided by b.
15
Let k(v) = -v**3 - 17*v**2 - 15*v + 19. Calculate the remainder when 7 is divided by k(-16).
1
Let d = -64 + 189. Suppose -o + d = 4*o. Let q = o - -16. Calculate the remainder when q is divided by 11.
8
Suppose -63 = -3*k - 0*k + 3*x, -2*x + 21 = k. Calculate the remainder when k is divided by 4.
1
Suppose -3*v - 3*a + 75 = 0, 4*a = 2*v + 2*a - 46. What is the remainder when 68 is divided by v?
20
Let d(i) = 29*i**2 - i + 1. Calculate the remainder when 10 - 3 - (9 - 117) is divided by d(1).
28
Let a be 0*(0 + 1/2). Suppose a*x + 14 = x. Suppose -88 = -5*m + 42. What is the remainder when m is divided by x?
12
Let b(x) = -x**3 + 2*x**2 + 5*x - 3. Let q(k) = -4*k**3 - k + 1. Let a be q(1). Calculate the remainder when b(a) is divided by 19.
16
Calculate the remainder when 53 is divided by (-33)/(-4) - (-18)/96*4.
8
Suppose 3*l = 5*l - 6. Suppose -22 = -l*g + 26. What is the remainder when g is divided by 6?
4
Suppose 7*g - 6*g = 79. What is the remainder when g is divided by 27?
25
Suppose 4*w - 32 - 60 = 0. Let l = w - -1. Calculate the remainder when 69 is divided by l.
21
Let d(j) = -2*j - 9. Let t be d(-6). Suppose -t*z + 34 = h, h - 42 = -4*z - 2*h. Suppose -f + 29 = -5. Calculate the remainder when f is divided by z.
10
Suppose 81 = 5*a - 4*f, -7*f - 16 = -3*f. Let k = 2 - a. Let l = k + 20. Calculate the remainder when 35 is divided by l.
8
Suppose 243 = 3*h - 0*h. What is the remainder when h is divided by 28?
25
Let l(j) = -j**2 + 7*j - 3. Calc
|
{
"pile_set_name": "DM Mathematics"
}
|
u.
5
Let r be (-60)/42*7/(-2). Suppose 0 = -r*y - s + 7, 5*y + 1 = 7*y + s. Solve 0 = 5*u - y - 3 for u.
1
Let t(a) = -5*a**3 + 12*a**2 + 5*a + 63. Let p(k) = 8*k**3 - 24*k**2 - 10*k - 125. Let q(u) = -3*p(u) - 5*t(u). Let l be q(-12). Solve l = f - 7 + 5 for f.
2
Let d(c) = -2*c**2 - 13*c + 22. Let g be d(-7). Solve 7 = g*h - 83 for h.
6
Suppose 0 = 3*d + z - 13, -4*d - 4*z + 5*z + 8 = 0. Let x = 42 + -39. Solve -x = 6*k - d*k for k.
-1
Let y be ((-64)/2 - -2)*11/(-33). Let g be ((-6)/4 - -1) + y/20. Solve 19*j - 17*j = g for j.
0
Let p be -2 - -82 - -3*(3 - 2). Solve -9*n + 74 = p for n.
-1
Let a = 39 - 61. Let w = a - -26. Suppose -10 = w*s + s - 3*j, s + 4*j - 21 = 0. Solve -s + 6 = -x for x.
-5
Let j(r) = -r**3 - 8*r**2 - r + 42. Let f be j(-7). Let c(z) = -z**2 - 4*z - 2. Let v be c(-2). Let m be ((-3)/3)/((-1)/v). Solve f = -k - m for k.
-2
Let x(l) = -l**2 - 39*l - 88. Let u be x(-36). Solve -6*q = -u*q - 7*q for q.
0
Let f be 0/((-2)/10*-5 + -5). Suppose -4*u + 8 = 4*x - f*x, 3*u - 2*x = 21. Solve -u*m + m = 0 for m.
0
Let s(q) = q**3 - 31*q**2 + 86*q - 54. Let d be s(28). Suppose g = -0*g + d*l - 5, -2*l + 11 = g. Solve -g*k - 35 = -10*k for k.
5
Let d(c) = 4*c**2 + 889*c - 3568. Let l be d(4). Solve 50 = -l*q - 262 for q.
-6
Let y be (-5)/2*((2 - -4) + (-912)/120). Solve 0 = -y*k + 24 - 4 for k.
5
Suppose 2712 = 87*a + 6*a + 108. Solve a = -51*w + 79 for w.
1
Let h(a) = -a + 19. Let j be h(17). Suppose j*d = 5*d - 33. Let g be (-4)/d*(-44)/8. Solve 2*l = -0*l - g for l.
-1
Let o(s) = -3*s**3 + 167*s**2 + 54*s + 320. Let u be o(56). Solve u - 207 = -g for g.
-1
Let l be ((-128)/(-28))/(-2)*7/(-2). Let v be 8 + (-1)/(l/(-72)). Solve -14*z + 11 = -v for z.
2
Suppose -p - 10*g + 5*g = 2, 3*p = -3*g + 6. Suppose y + 28 = 2*f - 15, -p*f + 78 = 3*y. Solve f*t = 21*t - 6 for t.
-3
Suppose 0 = p + 2*x - 35, -933*p + x - 61 = -935*p. Solve 0 = p*c - 32*c - 18 for c.
-6
Let k = 131 + 939. Solve k*j + 6 = 1068*j for j.
-3
Let p be (3 - 1)*(-12)/12 - -9. Suppose 3*g + 4*f + 6 = 0, -g + 4 + p = -3*f. Solve 0 = g*t - 7*t - 10 for t.
-2
Let t = 5153 - 5142. Solve 11*u - t = -0 for u.
1
Suppose 368*t + 585 = 381*t. Solve -46*i - t - 1 = 0 for i.
-1
Let q = -82 + 305. Let u = 237 - q. Solve y - 9 = -u for y.
-5
Let x(y) = -214*y - 5809. Let l be x(-28). Solve 8 = l*p - 184*p for p.
-8
Suppose 9*d - 1172 = 128 + 437. Solve -d = 34*j + 45 for j.
-7
Suppose 0 = -56*o + 123*o + 105*o - 6364. Solve -72 = o*v - 294 for v.
6
Suppose -13*n = -31 + 16 - 63. Solve n*y = 217 - 241 for y.
-4
Let x(a) = -a**3 + 7*a**2 - 2*a + 2. Let y be x(6). Suppose 0 = 2*j - 8, -6*k = -7*k + j. Solve 6 = k*z + y for z.
-5
Suppose 0 = 3*o + 38 - 50. Suppose -z + 2*z - o*z = 0. Suppose z = 7*s - s - 24. Solve 0 = -0*m - 2*m + s for m.
2
Suppose -3*z + 75 = 57. Suppose -n - 3*u = -4, -4*n - 3*u = -2*u + z. Let a be (2 + 21/(-9))*(n - 40). Solve -5*l = -1 - a for l.
3
Let y(d) = -d + 3. Let r be y(-1). Let t = -7446 + 7446. Solve t*p + r = 2*p for p.
2
Let a = -276 + 276. Suppose 5*l + a*b = 5*b - 5, 3*l - 2*b = -2. Solve 7*d + 10 + 4 = l for d.
-2
Let z = -106 + 108. Suppose -7*j = 309 - 309. Let g = 7 - 0. Solve j = -z*k + g*k + 20 for k.
-4
Suppose 6*w = 3*w + 18. Suppose -10 = d - 6*d. Suppose 67*g + 156 = 106*g. Solve -d*l = -w*l + g for l.
1
Let p(k) = 5*k + 14. Let m be p(-2). Suppose -m*b + b = -27. Solve -b + 14 = 5*c for c.
1
Let n be (-16)/10 - 56696/(-760). Suppose c + 4*r + 12 = 0, -15 = -2*c + 6*c + 5*r. Solve -78*v + n*v + 20 = c for v.
4
Let a = 1329 + -1305. Solve a*t - 12*t - 72 = 0 for t.
6
Let j = 444 - 436. Solve 23*u - j = 15 for u.
1
Let r be (11 + -5 + (-7)/(-1))/1. Solve -r = -2*u - 7 for u.
3
Let x = -23 - -35. Suppose 65*o - 123 - 882 = -2*o. Solve 0 = -7*z + x*z - o for z.
3
Let v = 279 + -263. Suppose -22*j = -v*j - 30. Solve 0*m - m - j = 0 for m.
-5
Let z(q) = 83*q + 3404. Let n be z(-40). Solve n = -27*y + 41*y for y.
6
Let d be (13/(-2) - -3)*4/(-7). Suppose -4 = -d*k - 4*u, -k - 3*k + 8 = -2*u. Let q be 8/k - (-6)/3. Solve q*i = 2*i - 8 for i.
-2
Let a(f) = f**2 - 50*f - 102. Let b be a(52). Let v(c) = -c**3 + 6*c**2 + 9*c - 9. Suppose 0 = 5*r - 10 - 25. Let x be v(r). Solve -b*n + x*n = 12 for n.
4
Suppose -21*s + 17*s = w - 51, 4*s - 41 = -3*w. Let i be 3*(s/(-6))/(3/(-9)). Solve 0 = -11*f + i + 1 for f.
2
Let l be 14427/497 + 36/(-1278). Solve -l*h = 18*h for h.
0
Suppose d + 18*t = 21*t + 5, -4*t - 4 = 0. Solve 0 = d*k + 99 - 105 for k.
3
Suppose 9*n = 4*n + 30, 5*n = 5*k - 830. Solve 0 = k*x - 170*x - 14 for x.
7
Suppose 82 = -2*k - 2*k + 2*i, -3*i - 108 = 5*k. Let j be 12/30 + 3 + k/15. Solve 0 = -2*u - 2 - j for u.
-2
Let v be ((-54)/(-33) - 2)*(31 + -86)/5. Suppose -2*b = 2*b. Suppose b = g + 2*j - 3*j - 4, 0 = -2*g - 4*j + 14. Solve -v*p = -g*p + 4 for p.
4
Let n = 4692 + -4687. Solve 0 = -519*z + 518*z - n for z.
-5
Let a = 58 - 20. Suppose -5*d - y + a = 0, -20 = -2*d + y + y. Suppose 0 = d*s - 36 + 4. Solve 0 = 7*z - s*z for z.
0
Suppose -355 = -3*x - 4*k - 43, -12 = -2*k. Solve 34*v - 334 = -x for v.
7
Let a(z) = 4*z**2 - 3*z - 47. Let t be a(-4). Suppose 195 = 10*s + t*s. Solve -15 = s*v + 10 for v.
-5
Suppose 2*v = 5*g + 6 + 124, 3*v = 4*g + 111. Suppose 0 = 2*l + 7 - 63. Let p = g + l. Solve 5 = i + p for i.
1
Suppose 41*i = 42*i - 18. Suppose 9*v = -0 + i. Solve v*u - 11 = -1 for u.
5
Let y(b) be the second derivative of b**3/2 - 77*b**2/2 - 245*b. Let q be y(26). Solve 21 = 4*x + q for x.
5
Suppose 86*v - 443*v + 134849 = -107911. Solve -11*f - 757 = -v for f.
-7
Suppose -82 = -7*a + 2*g, 4*a + g - 27 = 22. Solve a = 105*w - 111*w for w.
-2
Let t = 5822 - 5788. Solve 2*a + t = 19*a for a.
2
Let m(j) = -19*j - 38. Let w be m(-2). Solve -21*y + 12 + 30 = w for y.
2
Let p = 32 + -30. Suppose -p - 13 = -3*x. Suppose 3*u - 35 = -2*z, -x*u = -0*z + 3*z - 58. Solve 5*o = u - 31 for o.
-4
Suppose -38 = 5*i - 143. Suppose 3*c - i = -4*c. Suppose 0 = c*z - z - 5*l - 9, -13 = -4*z + 5*l. Solve n = -z*n for n.
0
Let q = 5 + 0. Let d(u) = -6*u**3 - 96*u**2 - 3*u - 25. Let s be d(-16). Solve -s = -q*f + 2 for f.
5
Let t(h) = 4*h**2 - 13 - 3 + 14*h - 2*h**2. Let y be t(-8). Solve 6*d + y - 6 = 0 for d.
1
Suppose 2*d + 7 = f, 4*d - 8*f + 3*f + 35 = 0. Solve d = 13*c - 175 + 149 for c.
2
Let n be -1*(-26 - (-3 + 1)). Suppose n - 14 = -2*b. Let i(m) = m**3 + 5*m**2 + 6. Let c be i(b). Solve 3*d = c*d + 3 for d.
-1
Suppose 5*r - 26 = 2*s, 2*s - 7 = 3*r - 21. Let w be 430/(-255)*6 - 2/(-17). Let b be (w + 9)/((-1)/5). Solve -n + r*n = b for n.
1
Suppose -4*y - 76 = -4*q, -y = 3*q - 2*y - 49. Suppose -q*a = -0*a. Solve -3*n = -a*n + 6 for n.
-2
Let t be (-2112)/27*9/(-12) - 6/(-18). Solve 15*f = t + 16 for f.
5
Let t be 193 - (-6 + 3) - -3. Suppose 0 = -192*n + t*n. Solve n = -16*f + 11*f for f.
0
Suppose 84 = 4*z + 4*k + 32, z - 5 = k. Suppose z*c - 33 = -6. Solve 11*r = 8*r - c for r.
-1
Suppose 5*x - 73 = -j, -j = 3*x + j - 48. Suppose k = -3*g + x, -4*k + 12 = -g + 2*g. Suppose -4*a - 4*d = -g, -5 = -2*a - d - 0*d. Solve a*z + 4 = -0 for z.
-1
Let d be (-105)/(-3) + (9 - 5). Suppose d = 37*l - 24*l. Let k be 0/2 - (-1 + 1). Solve k*i = -l*i for i.
0
Let o(h) = -h**3 + 3*h + 2. Let z = 71 + -69. Let t be o(z). Suppose -2*m + 5*s - 11 = m, t = -m - 4*s + 19. Solve m*j + 17 = 2 for j.
-5
Suppose 0 = -5*r + 58 - 3. Suppose d - h - r = 0, 5*d - 2*h = -5 + 45. Solve 0 = 3*o - d*o - 3 for o.
-1
Let z be 1/5*5 - -44. Suppose -50*x + 15 = -z*x. Solve 11 = -x*b - 1 for b.
-4
Let q = -512 - -522. Solve q*w + 123 = 173 for w.
5
Let w = 1 + 3. Suppose -5*a + 10*p + 30 = 0, -5*a + 0*p + 30 = 2*p. Suppose -5*l = w*j - 13, j - a*j + 2*l + 8 = 0. Solve j*n - n = -2 for n.
-2
Let n be (-6)/((-3)/2 + 0). Let k(j) = j**2 + 4*j. Let a be k(-5). Let m = a - n. Solve -r + m = -0*r for r.
1
Let g = 189 - 187. Let y(q) = q**3 + q**2 - q - 7. Let k be y(g). Solve k*m - 3 = -6 for m.
-1
Let r = 20208 - 20083. Solve 124 = r*f - 156*f for f.
-4
Let g(t) = t**3 + 23*t**2 - 8*t - 161. Let d be g(-23). Suppose 0 = 20*l - d*l + 12. Solve -2*f = -0*f - l for f.
2
Let a(m) = -m**2 + 2*m + 1. Let x be a(2). Let l = -738 + 806. Suppose l*u = 74*u - 36. Solve u = f + x for f.
5
Suppose 17*t - 15*t + 2*g - 22 = 0, 17 = t - 5*g. Suppose 11*l + 80 = t*l. Solve 14*j + 2*j = -l for
|
{
"pile_set_name": "DM Mathematics"
}
|
8780169. Let k = p - 11/51. Calculate the common denominator of k and -71/44.
44
Let x(u) = -10577*u - 200918. Suppose 0 = -4*j, -2*j - 160 = -4*i - 0*i. What is the least common multiple of x(-19) and i?
360
Find the common denominator of -117/28 and (-6480)/10752*35/(-510).
7616
Suppose -4*b = -b + 2*l + 70, 5*l + 10 = 0. Calculate the lowest common multiple of (33/(-4))/(3/(b - 2)) and 30.
330
Let l = 1/3289 + 2983/1006434. Find the common denominator of l and 59/144.
2448
Let x(t) = t**3 + t**2 + t + 2. Suppose -215*z + 198*z = -340. Calculate the least common multiple of x(2) and z.
80
Let p(f) = 143*f + 1591. Let t = -43 + 83. Suppose 5*k + 0*k - t = -a, 0 = 4*k - 8. Calculate the lowest common multiple of a and p(-11).
90
Let d be (3/(-3) - -1) + -3. What is the common denominator of (d/(25 - -5))/(1/(-3)) and -95/12?
60
Suppose 3*m - 77 = 5*k, 2*m + 2*m - 95 = -k. Suppose -3*u + 6 = -m. Suppose -13*z + 99 = -u*z. What is the least common multiple of z and 18?
198
Calculate the common denominator of (-27)/2*17/((-18632)/16) and 3 - (2 - (-140)/25).
685
Let y = 25298593/558 - 45338. What is the common denominator of 71/310 and y?
2790
Suppose -198*t = -199*t - 16. Let n(h) = -h**2 - 20*h - 28. What is the least common multiple of n(t) and 4?
36
Let a = 18003/61504 - -4/961. Calculate the common denominator of a and 41/8.
64
Let v be (-5)/(-1) + (-578 - 3). Calculate the common denominator of (5 - v/135)*1/(-2) and -49/57.
570
Let s(l) = -84*l + 593. What is the smallest common multiple of (-1 - (2 + -2)) + 247 and s(7)?
1230
What is the common denominator of -139/120 and 7 - ((-6831)/28)/(-33)?
840
Let w = 33084042855052846397/1512510580575486 - -3641/93330283881. Let f = w + -8958/2701. Let y = f - 21863. Calculate the common denominator of y and -83/24.
72
Find the common denominator of 1/12 and (-2150)/3216 + 126/189.
1608
What is the least common multiple of 49*(4 - 7)*20/(-6) and 630?
4410
Let g = 98933/392 - 2013/8. Calculate the common denominator of ((-3)/42)/(5/(-215)) and g.
98
Suppose 2*d + n - 619 = 0, 3*d - 5*n - 767 = 194. Calculate the smallest common multiple of d and 16.
624
Let k = 5617 + -5607. What is the smallest common multiple of 1238 and k?
6190
Suppose 3*r = u + 2*r - 252, 5*u + 3*r - 1252 = 0. Suppose u*h - 248*h = 48. Calculate the least common multiple of h and 114.
912
Let b be (-24)/(-84) + 1/((-3444)/1011). Let l = b - -20171/10332. Find the common denominator of -83/22 and l.
198
Let p = -189 - -188. Calculate the smallest common multiple of (-33)/6*2/p and 2/8 + 11/4.
33
Let l(h) = -h**3 + 3*h**2 - 3*h - 2. Let p be l(2). Let t(o) = 14*o + 80. Calculate the least common multiple of t(p) and 2.
24
Let v = -355/106 + -42302/53. Suppose -1530 = 2*q + j, 0 = -18*q + 21*q + 5*j + 2309. Let x = q - v. What is the common denominator of 5 and x?
2
Suppose -3*r + 12*r = 27. Calculate the lowest common multiple of 14 and (-65)/(-1) + 9/r.
476
Let x(g) = 181*g + 3. Calculate the smallest common multiple of 1656 and x(1).
1656
Suppose -15*f + 12 = -17*f. Calculate the lowest common multiple of (-729)/(-36)*(-8)/f and 54.
54
Let r(i) = 7*i + 601. What is the least common multiple of 7 and r(-72)?
679
Suppose 2*h - 81 = 31. Let u = -1035 + 1026. Calculate the least common multiple of 2 and h/(-252) - (-1)/(u/(-101)).
22
What is the common denominator of -157/450 and (-22066)/2475 - -9 - (-1)/(-2)?
450
What is the common denominator of -101/10 and 4/986*7049/1484?
4930
Find the common denominator of -2/149 and 1377/34 + -2 - (-28)/(-7).
298
Find the common denominator of ((-1)/36)/(15/(-6)*448/(-122640)) and 6/21 - (-782)/(-42).
24
Let u(t) = -t**2 - t - 1101. Let h be u(0). Find the common denominator of 45/(-6) - -2 - 0 and h/(-26) - (-6 + (-456)/(-78)).
2
Let y = 5309492/117 - 45380. Find the common denominator of y and -19/4927.
44343
Suppose -2 = 3*h - 38. What is the common denominator of (2 - 0)*1/h and (-76)/208*-2 - 0?
78
Suppose 233 = 29*g - 28. What is the common denominator of 128/7560 - g/(-45) and 13/11?
2079
Suppose 0 = 5*d - 2*z - z - 3028, -d + 596 = -3*z. Let l = -602 + d. What is the least common multiple of 1108 and l?
3324
Let x = -174 + 348. Let u be 2 - (0 - x/7). Let v = 169/42 - u. Calculate the common denominator of v and 37/4.
12
Suppose 5*v = 20*x - 22*x + 62, -8 = -2*v - 5*x. Calculate the lowest common multiple of 644 and v.
644
Suppose 352*j - 5*z - 6551 = 348*j, -5*j + 8240 = 4*z. Calculate the lowest common multiple of 1644 and j.
1644
Suppose 0 = -20*t - 2*t + 44. Suppose 0 = -4*w + w - 3*d + 54, 3*w - t*d - 74 = 0. Calculate the smallest common multiple of 296 and w.
3256
Suppose b = -5*b + 18. Let i(t) = t**3 - t**2 - 12*t + 25. Calculate the least common multiple of i(b) and 266.
266
Let l = 37151834/43 + -286551174238/331659. Let i = l + -1/2571. Calculate the common denominator of i and -29/204.
612
Suppose 0 = -12*p - 5*p - 10472. Find the common denominator of (-3718)/p + 4*-1 and 143/36.
252
Let y(z) = 2*z**2 - 25*z + 48. Let r be y(21). Let x = r + -396. What is the least common multiple of 90 and x?
90
Suppose 0 = 14*m + 72 - 2. What is the smallest common multiple of 70 and (-12)/(-9)*((-460)/(-8) + m)?
70
Let k(s) be the second derivative of 23*s**4/4 - s**3/3 + s**2 + 10*s. Let h be k(2). Find the common denominator of -77/4 and (2 - 5 - 0) + h/36.
36
Let m = 5/42 - 31/14. Let c = 1945/111 + -54023/3145. What is the common denominator of c and m?
1785
Suppose -49*b + 190 = -132*b + 1435. Find the common denominator of b and 28/1413.
1413
Let j = -53606151/577 - -92905. Find the common denominator of j and 15/11.
6347
What is the lowest common multiple of (-273 + 478)*3/5 and 1189?
3567
Suppose -r + 3*d = -4*r + 258, -2*d = 5*r - 439. Suppose 0 = 3*f - 5*x - 142, r = 4*f - x - 106. Calculate the lowest common multiple of 42 and f.
294
Let u = 114887/3686280 + -20/1807. Calculate the common denominator of -16/2805 and u.
22440
Let u(n) = n**2 + 11*n - 51. What is the smallest common multiple of u(-20) and 36?
1548
Let c = -29906 + 29918. Calculate the lowest common multiple of c and 300.
300
Suppose -196*d = -164*d - 1920. Calculate the least common multiple of d and 30.
60
Suppose 0 = 3*g - 3 - 0. Suppose -95 = -22*q + 37. What is the lowest common multiple of 2/g - 930/(-15) and q?
192
Let l(n) = 2*n**2 + 94*n + 187. Calculate the least common multiple of l(-54) and 13.
12259
Let n = -7376 - -7548. Calculate the lowest common multiple of n and 86.
172
Calculate the common denominator of -42/485 and (-38)/(-80) - (46/4 + -11).
3880
Calculate the smallest common multiple of ((-8)/10)/((-82)/(-820)) - -14 and 914.
2742
Suppose 0 = -8*m + 8203 + 1093. What is the lowest common multiple of 14 and m?
1162
Let x be -10 - (-14 + 1) - (-2004089)/306. Let p = x + -58982/9. Calculate the common denominator of 125/6 and p.
102
Let j(t) = 6*t - 6. Let m be j(2). Suppose -9*h + 60 = m*h. Suppose -a + 54 + 50 = 4*q, -h*a = -3*q + 97. What is the lowest common multiple of 21 and q?
189
Suppose -27 = 2*f - 29. What is the smallest common multiple of 3 and f + -4 + 146 + 3 + -1?
435
Let w be ((-48)/(-20))/((-14)/(-35)). Let b(j) = -12*j + 110. Calculate the least common multiple of b(w) and 11.
418
What is the common denominator of 2/(42/6 + -1) - (-2020)/(-6052) and 53/153?
13617
Let o be -8*(3 - 2)*(-3 + 2). Calculate the smallest common multiple of 40 and -8*(o - 2 - 12).
240
Let a(v) = 12*v + 119. Let j be a(-9). Suppose -j*c = -z - 9*c + 40, -z + 5*c = -46. What is the least common multiple of z and 12?
36
Let u = -602 - -606. Calculate the common denominator of 137/12 and ((-237)/(-108))/(2/(u/1)).
36
Suppose 1181 - 61 = 7*r. Calculate the lowest common multiple of 240 and r.
480
Find the common denominator of -155/66 and -170 - -157 - 4798/(-374).
1122
Let s = -304/83 - -24685/5312. Let n = -251819/1040520 + 3/8671. What is the common denominator of s and n?
960
Calculate the common denominator of -101/760 and (11/132)/((-5)/45) - 20151/(-30780).
6840
Suppose 0 = 138*z - 141*z + 1011. Let y = 629 - z. What is the smallest common multiple of 2 and y?
292
Suppose -5*j + 589 = b, 5*j = -3*b - 0*b + 597. Suppose -5*u + 33 = -j. What is the smallest common multiple of (u + 6)*(-2)/(-3
|
{
"pile_set_name": "DM Mathematics"
}
|
east as big as 9?
False
Let z = 45.54 - 45.14. Which is smaller: z or 0.157?
0.157
Let m = 87 - 102. Let r = 88 - 103. Is m smaller than r?
False
Let m be 12/2496*(-144776)/116 - -6. Which is greater: 0 or m?
0
Let u be 22*((-20)/35 - 1416/(-112)). Are 266 and u unequal?
True
Let t be 5 + 0 + 1421050/(-283100). Let j = t - 1/149. Is j at least -1?
True
Let w = 3966 + -4347. Which is greater: w or -2291/6?
w
Let k = -653 + 949. Let r = k - 295.87. Which is bigger: r or -0.4?
r
Let o = -5180 + 5179. Which is smaller: -1809 or o?
-1809
Let f(o) = 5*o - 29. Let b be f(6). Let l be 0 + b - 77/11. Let p be (l/18)/(1/3). Is 1/11 <= p?
False
Suppose -5*z = s - 47, -2*z + 32 = 31*s - 30*s. Is s less than or equal to 30?
True
Let v be 56943/(-627) + (-6)/33. Which is smaller: -86 or v?
v
Suppose 5*y + 4*p = -0*p + 3825, -5*p = -3*y + 2295. Let l be 60/y*(-42)/(-4). Is 1 bigger than l?
True
Let t = -18.3 + 19. Let w = -0.13 + -99.87. Let f = w - -97. Is t at least as big as f?
True
Let s = -71 - 67. Let b = 137.8 + s. Is b bigger than 22?
False
Let j be 3 - (594/105)/2. Let z(k) = -k**3 - 17*k**2 + 2*k + 37. Let q be z(-17). Suppose t + 2 = q*s, t + 9 = -4*s - 0. Is s at most as big as j?
True
Let t(m) = m**3 - 4*m**2 - 2*m - 7. Let l be t(5). Let h(i) = -i**2 + 9*i - 5. Let f be h(l). Suppose -54 = f*q + 6*q. Which is bigger: q or 1?
1
Let d be 6/(-10) - (-534)/690. Let y be 6/(-2) - (-9 - -5). Suppose 5*v - y = 4*v. Which is bigger: v or d?
v
Suppose -3*o - 3*m - 24 = 0, 0 = -2*o - m - 15. Let g = -867 - -649. Let x be g/(-6) - o/(-21). Is x at most as big as 35?
False
Suppose 3*z = -r + 6, -5*r - 16*z - 66 = -17*z. Let o be (13/(-2))/(2/4). Which is bigger: r or o?
r
Let c = -26052762257/2450223 + -191/90749. Let f = c + 10634. Which is smaller: f or 0?
0
Suppose -379 = -653*u - 4950. Let j = -2925 + 20417/7. Is j != u?
True
Let t be 1/(-2) + 90/(-20). Let w(q) = -2*q - 23. Let g be w(t). Suppose 14*a + 64 = -104. Which is smaller: a or g?
g
Let c be 1/3 - 170/(-3). Let i = -186581/4 - -46702. Which is bigger: i or c?
c
Let m be 1758834/(-4333635) - (-2)/5. Are m and -1 unequal?
True
Let s(b) = -29*b**2 + 3*b - 4. Let v(l) = -28*l**2 + 3*l - 5. Let u(t) = -3*s(t) + 2*v(t). Let r be u(1). Let f be r/(-8) - (0 + -4). Is f at most -12?
False
Let r be (-3)/2 + (-1182)/(-12). Let y = -94 + r. Suppose 0*z - 70 = m - y*z, 2*m - z = -150. Which is greater: -75 or m?
-75
Let r be ((-4)/6)/((-38)/114). Is r less than or equal to 102/137?
False
Let z be 84338970/(-2350)*(-3)/(-9). Let d = 11963 + z. Is -1 > d?
False
Suppose -75*l - 12*l + 217056 = -11*l. Is 2857 greater than or equal to l?
True
Let l(r) = 433*r + 75. Let g be l(14). Let v = g + -951232/155. Which is smaller: -1 or v?
-1
Let w = -23473 - -23472.8. Which is bigger: w or -4070?
w
Let h = 62 - 49. Let g = h + -14. Let q = 125 - 877/7. Which is bigger: q or g?
q
Suppose -2*f - 2 = 3*a, 8*f - 2*a = 4*f + 28. Suppose -5*h - 5*d + 378 = -1282, 0 = -f*h - d + 1656. Which is smaller: 332 or h?
h
Let c = -12.91 + 12.86. Let x = 7955/26 + -306. Which is smaller: c or x?
c
Suppose -2 = -2*a, -4*g + a + a + 2110 = 0. Let r = -537 + g. Is -26 >= r?
False
Let y = -0.2991 + -2.7009. Which is bigger: y or -5388?
y
Let o = -3.8 + 4. Let t = o - 0.21. Let y be (84/(-15))/(-2) - (-9 + -4 + 16). Is t greater than y?
True
Let k = 47 - 43. Suppose 3*h - m - 24 = 0, 5*h - k*m - 37 = 10. Suppose 0 = y - 3*g - 26, 5 = g - 2*g. Which is greater: y or h?
y
Let u(j) = j**3 + 4*j**2 + 5*j + 6. Let x be u(-4). Let f = 3813 + -3808. Let t be 35/x*(-28)/f. Which is greater: 13 or t?
t
Suppose 0 = -s - 12*d + 1099, 5*s + 3*d - 1757 = 3567. Which is smaller: 1065 or s?
s
Let a = -3059953/30 + 101986. Let f = -25/2 - a. Suppose -4*m - 16 = -6*u + 2*u, -4*m = 5*u + 16. Which is greater: f or u?
u
Suppose 0 = 2*f + i - 5, 2*f - 3*i - 8 = -7*i. Let n(x) = -2*x + 1. Let s be n(0). Let k be 2/(18/33) - s. Which is greater: f or k?
k
Let u = -285 + 285. Suppose -5*n + 2*k + u*k - 1202 = 0, 2*k - 242 = n. Is n > -240?
False
Let k(g) = 66*g + 2825. Let x be k(-46). Which is bigger: -212 or x?
x
Let d = -49 + 56. Suppose -d*h = -10*h - 123. Let k = 36 + h. Is -19/4 > k?
True
Let r be (14/(-12))/((-1)/2). Let m be (16/1520)/((-1)/6). Let h = 208/285 + m. Which is bigger: h or r?
r
Let p be 304/(-264) - (782/1518 + 2/(-6)). Let v be -1 + 0 + (-2 - -1). Is v >= p?
False
Suppose -m + 9 = 4*p, p = 3*m + 4*p - 18. Suppose 4*a + 4*r = -284, 0*a - 5*r = -m*a - 405. Which is smaller: a or -74?
a
Let v = 154993916/3345 - 46336. Which is smaller: 1 or v?
v
Let j(h) = h**3 - 3*h + 4. Let u be j(2). Let f be (-4)/u*(-57)/(-38). Which is greater: f or -11?
f
Let j(g) = -20*g - 6. Let a be j(-8). Let v = -78 + a. Are 76 and v equal?
True
Let j = -392 - -392. Suppose j = -44*o + 9*o - 245. Let d(v) = -v**3 - 5*v**2 - 3*v - 3. Let z be d(-4). Is z greater than or equal to o?
True
Let n = -1588 + 1674. Is n equal to 4?
False
Let i = 5365.3 + -6003. Let t = 638 + i. Which is smaller: 66 or t?
t
Suppose -3*y + 48 = -0*y. Let z be -3*(2 + y/(-12)) + 2. Let n be (-13)/1 - z/(-8). Which is bigger: -12 or n?
-12
Suppose 0 = -5*g + 4*j - 1909, 4*g - 5*g - 5*j = 376. Is -3 less than g?
False
Let u = 34 + -57. Let x = -47 - u. Let k be ((-1)/(-4))/(10/x). Is 0 at most k?
False
Let s = 12/35 - 1/7. Suppose 2*n = -t + 1233, -4*t - 29 + 1277 = 2*n. Let y = n + -598. Is s at least as big as y?
False
Let g be (-1*6/1320)/(12/10). Let i(n) = n**3 - 6*n**2 + 9*n - 5. Let r be i(4). Do g and r have different values?
True
Let o = -17831 - -15222. Are o and 2/3 unequal?
True
Let g = 61.994 + -62. Let f = 0.794 - g. Let m = -37 + 36.8. Are f and m non-equal?
True
Let p = -0.031 - -0.031. Let r = p - -67. Let c = r - 65. Which is bigger: c or 15?
15
Suppose -41*f - 103*f = 720. Let c be 1/(2/10 - 0). Let g be (7/c - 2)*5. Are f and g non-equal?
True
Let t be (-6)/16*75/(-900). Let j = -2 + 1. Which is smaller: t or j?
j
Let z = -1873 + 1862. Let g = 1493 + -10538/7. Do g and z have the same value?
False
Suppose 9018 = 178*k - 3620. Does 0.06 = k?
False
Let w be (-7)/((-105)/(-20))*-165. Suppose 4*j + w = 15*j. Which is smaller: 23 or j?
j
Let q = 21.726 + -22. Let s = q + -0.006. Let b = 0.29 + s. Which is bigger: b or 1/5?
1/5
Let x = 84.99 - 0.99. Let i = -85.979 + x. Let d = -0.021 + i. Which is greater: d or -1/2?
-1/2
Let p = 35.8182 - -0.0818. Let b = p + 0.1. Let v = -1 + 0.9. Is v at most b?
True
Let p = -0.2 - -0.216. Let s = -2940 - -2942.016. Let b = s - p. Is -1 at most as big as b?
True
Let r = -85.59746 - -0.01746. Let g = r + -0.42. Let h = 85 + g. Which is greater: -4 or h?
h
Let d = 1/1547 - -4637/6188. Which is smaller: d or 38/3?
d
Suppose -107*q = -179*q - 261*q - 333. Which is smaller: q or 5/556?
q
Let a = 483 - 501. Let m be (15/(-10))/((-3)/a). Which is smaller: -1 or m?
m
Let l = -676 + 683. Let h be (-2035)/148 + -1 + l. Which is smaller: h or -7?
h
Let z = -6.687 + 6.587. Is z not equal to 119/32?
True
Let b be ((-10)/(-9))/(2/21). Suppose -44*q = -28*q - 7904. Suppose -30*m = 8*m - q. Is m greater than b?
True
Let a(z) = -51 + z + 38 - 2*z. Let p be a(-13). Let l = 444.3 - 444. Do p and l have the same value?
False
Suppose c + 3*t = -32525, 11711 = -2*c - 5*t - 53331. Does -32501 = c?
True
Let g be (-3 - (-20)/8)/(2/120). Let f be 1/4 + ((-175)/(-20) - -6). Suppose 13*u = f*u + 58. Is u equal to g?
False
Let m = 1.331 + -16.331. Which is smaller: m or 95?
m
Let r be (-9)/((-3)/16*4). Suppose -r*j = -7*j - 255. Is 2 at most j?
True
Suppose -25*q + 13*q + 9*q = -1239. Which is smaller: 2888/7 or q?
2888/7
Let d = 20 + -31. Suppose -69 = 20*b + 91 + 20. Does d = b?
False
Let s = 12.519 - 0.519. Is s > 4/45?
True
Let v(h) = -271*h - 281. Let z be v(15). Let i be (18/16)/(246/z). Which is smaller: -19 or i?
i
Let p(g) = g + 15. Let r(a) = a**3 - 7*a**2 + 7*a - 22. Let x be r(5). Let d = -58 - x. Let u be p(d). Is u at least as big as -10?
True
Let b(f) = f**3 - 35*f**2 + 357*f - 22. Let n be b(14). Which is smaller: n or 862?
n
Let n(i) = -i**3 + 7*i**2 - 23*i + 157. Let a be n(7). Let g(k) = 0*k + 4*k - 5 - 2*k**2 + 3*k**2. Let l be g(a). Is -4 at least as big as l?
True
Suppose 194*h + 768 = 170*h. Which is greater: -16 or h?
-16
Let p be (-6)/60*6
|
{
"pile_set_name": "DM Mathematics"
}
|
et x(f) be the third derivative of -13*f**6/40 + f**4/12 + f**3/6 + 8*f**2. Suppose 5*b = -2 - 3. What is the units digit of x(b)?
8
Let b be ((-4)/(-6))/(18/81). Suppose 599 = -b*p + 8*p - 4*l, 4*p + 5*l - 471 = 0. Let m = p + -84. What is the units digit of m?
5
Let t(a) = a**3 + 9*a**2 + 7*a - 3. Let g be t(-8). What is the tens digit of (27*7)/(6 + 0 - g)?
8
Suppose 16*s - 154 = 14*s. Let u = s + -21. What is the units digit of u?
6
Let p be (-6)/(-4)*(3 + -1). Suppose -2*w - p = 1, 4*x - 14 = -3*w. Suppose -2*c + 7 = 1, -2*a - x*c = -23. What is the units digit of a?
4
Suppose z = 3, 4190 = 5*n - 4*z + 552. What is the tens digit of n?
3
What is the tens digit of -3*(-3598)/(-6)*(4 + -5)?
9
Suppose -32*k = -29*k + 5*a - 12852, -a = -3*k + 12852. What is the hundreds digit of k?
2
Suppose 0 = -6*t + 11*t - 75. Let p = 20 - t. Suppose -4*s - p*v + 166 = -6*v, -4*s - 2*v + 172 = 0. What is the units digit of s?
2
Let z be -1 - (-2 + 2)/3. Let o(b) = -b**3 - b**2 + b + 2. Let x be o(z). What is the units digit of 172*x*4/16?
3
Suppose 2*b = -2*b - 12. Let i be (-2 - b)/((-4)/(-16)). Suppose -i*w + 58 + 2 = 0. What is the units digit of w?
5
What is the units digit of -1 + 4 + 5 + 315?
3
Suppose 4*b + 4*t = 7724, -4*b - b + 3*t + 9687 = 0. What is the units digit of b?
5
Let d(j) = 3*j**2 + 42*j + 129. What is the hundreds digit of d(-26)?
0
Let u(n) = 2*n**2 + 58*n + 38. Let l be u(-28). What is the hundreds digit of 2/((-4)/642)*l/27?
2
Let g = -714 - -1468. What is the units digit of g?
4
Suppose 3*r - 15 = -6. Suppose -i + 10 = -3*b - 1, 4*b - 112 = -5*i. Suppose 7*q = r*q + i. What is the units digit of q?
5
Let j = -74 + 119. What is the tens digit of -12*5/(-1)*42/j?
5
Let w(u) = 234*u - 19. What is the units digit of w(3)?
3
Let h(o) = -o**2 + o + 6. Let v be h(-5). Let p = 54 - v. Suppose 0 = -4*l + l + p. What is the tens digit of l?
2
Suppose 0 = -0*j + 8*j - 160. Suppose 5*x = j + 20. What is the units digit of x?
8
Let b = 18 + -12. Suppose 2*x + 26 = -5*k + 10*k, 0 = -2*x - b. Suppose k*w = -3*v + 19 + 9, 5*v + w - 24 = 0. What is the units digit of v?
4
Let d = -5 + 10. Suppose 5*s = -3*j + 178, -d*s - 1 + 57 = j. What is the tens digit of j?
6
Suppose -2*n - 4*d - 12 = 0, d - 2*d = -3*n + 10. Suppose 0 = n*r - 91 - 69. What is the units digit of r?
0
Let l = 586 + -206. What is the units digit of l?
0
Suppose -15 - 15 = 3*f. Let o = -6 - f. Suppose o*d - 51 - 25 = 4*u, -d + 4*u = -10. What is the tens digit of d?
2
Let t(f) = f**3 + 5*f**2 - 7*f - 2. Let m be t(-6). Suppose 0 = -2*r + 12 - m, 0 = -4*w - 4*r + 108. What is the tens digit of w?
2
Let f = 7 - 18. Let s = f - -13. Suppose 3*m = 5*r + 97, 7*m - s*m - 145 = 5*r. What is the units digit of m?
4
Let q be (14/21)/((-1)/(-3)). Suppose 0 = c + 2*f + 26, -q*f = -f. Let z = 34 - c. What is the units digit of z?
0
Let p = -18 + 23. Suppose -3*h - 3 = -4*h + 4*j, 0 = 4*h + p*j - 12. Suppose h*r + 36 - 219 = 0. What is the units digit of r?
1
Suppose 3*a + a = 0. Suppose -2*x = -0*x - 34. Suppose a = -13*j + x*j - 104. What is the units digit of j?
6
Suppose -5*j = -5*w - 5, 1 + 13 = -4*w + 2*j. What is the tens digit of w/(3/1) - (-71 + 4)?
6
Suppose 0 = -h + 5*h - 1124. What is the tens digit of h?
8
Let u(h) = 65*h + 149. What is the units digit of u(22)?
9
Let k(m) = -89*m**3 - m**2 - 4*m - 5. What is the units digit of k(-2)?
1
Let f be (-28)/(-6) - 1/(-3). Let g(q) = -15*q**3 - f + 2*q - 4*q + 16*q**3 + 13*q**2. What is the tens digit of g(-13)?
2
Let n(b) = -b**3 - 8*b**2 - 15*b - 17. Let s be n(-6). What is the units digit of (33 + s)*8/((-48)/(-21))?
9
Let s be ((1 - -1) + -5)*16/(-12). Let c = -3 - -14. Suppose -s*o - c = 3*b, 3*o - 7 = b + 5*o. What is the units digit of b?
3
Let r = -2710 - -4160. What is the thousands digit of r?
1
Let v = 488 + -276. What is the hundreds digit of v?
2
Let s = 86 - 31. Let g(c) = 2*c + 5. Let t be g(8). Suppose l - y = 5, -t = 4*l + 3*y - s. What is the units digit of l?
7
Suppose 0 = -3*j - 5*k + 1426, -5*j + 870 = -5*k - 1480. What is the hundreds digit of j?
4
Let v(f) = 51*f - 79. What is the units digit of v(8)?
9
Let b = 7135 + -3150. What is the thousands digit of b?
3
Let r(c) be the first derivative of -3*c**2 - 6*c + 61. Let n = -10 + 6. What is the units digit of r(n)?
8
What is the units digit of (-4)/(-5)*(-4740)/(-24)?
8
Suppose -3*t + 1926 = 3*t. What is the hundreds digit of t?
3
Let i(g) = -2*g**2 - 4*g + 1. Let d be i(-3). Let o(p) = 1. Let s(a) = -a**2 - 2*a - 2. Let w(u) = -4*o(u) - s(u). What is the tens digit of w(d)?
1
Suppose -4*t + 11 = 5*y - 5*t, -y + 7 = -5*t. Suppose -q = -4*v - 201, -6*v - 381 = -y*q - 5*v. What is the hundreds digit of q?
1
Let q(d) = -2*d**3 - 12*d**2 - 2*d - 17. What is the hundreds digit of q(-11)?
2
Suppose 6*z - 4263 = -z. What is the hundreds digit of z?
6
Let d be (-37)/(-6) - (-7)/(-42). Suppose -d*j - 491 = -1427. Let c = j + -92. What is the units digit of c?
4
Suppose -5*g + 13192 - 967 = 0. What is the units digit of g?
5
Let b be (-2)/(-9) - (-136)/36. Suppose 2 = 2*i + 12, 4*i = -b*m - 8. What is the units digit of m?
3
Let y(p) = 179*p - 285. What is the units digit of y(20)?
5
Suppose 0 = -2*p + 4, -2*n - 3*p + 4 = -6*p. Suppose 3*k = t + 3*t - 51, -2*t = n*k - 45. What is the tens digit of t?
1
Suppose -4*w - 234 = -a, -4*a + 6*a = -2*w + 448. What is the units digit of a?
6
Suppose -w - 2 + 1 = o, -2*w - o = -3. Suppose n - 12 = w. What is the units digit of n?
6
Let p = 92 + -46. Let k = -24 - -32. Let g = k + p. What is the tens digit of g?
5
Let h = 192 + -134. Let v = h - 39. Suppose -2*g - v = -139. What is the tens digit of g?
6
Let k(i) be the first derivative of i**2/2 + 38*i + 4. What is the tens digit of k(0)?
3
Suppose -544*k = -572*k + 38444. What is the units digit of k?
3
What is the thousands digit of 2/36*62553 + 1/(-6)?
3
Let g = 246 + -100. Let q = g - 60. What is the units digit of q?
6
Let m be 4*(-3)/(-2) - (4 + -7). Suppose 8*x = m*x - 2*l - 320, x + 5*l - 341 = 0. What is the units digit of x?
6
Let t(o) = o**3 - 10*o**2 + 38*o - 12. What is the hundreds digit of t(12)?
7
Let p(n) = -n**3 + 5*n**2 + 15*n - 4. Let c be p(7). Suppose -4*w + 404 = 2*a + 2*a, c*w - a - 283 = 0. What is the units digit of w?
6
What is the thousands digit of (-4 - -5 - 1625/6)*-18?
4
Let r(s) = s - 2*s**2 - 6 - 6*s**3 - 10*s**3 - 2*s**2. Let l(v) = -15*v**3 - 3*v**2 + v - 5. Let x(p) = -5*l(p) + 4*r(p). What is the tens digit of x(1)?
1
Suppose 3*z + 25 = -4*d, 3*z - 9 = 3*d + 15. Let n = d + 11. Suppose 5*y = n*y + 15. What is the tens digit of y?
1
Let x = -177 + 212. What is the tens digit of x?
3
What is the units digit of 140*(-20)/(-35)*(-182)/(-20)?
8
Let i(l) = 4*l**2 - 2*l - 9. Let m(f) = -f**2 - f. Let d(b) = i(b) + 3*m(b). What is the units digit of d(8)?
5
Let b = -453 + 510. What is the tens digit of b?
5
Let u be -1 - (2 - 2 - 0). Let m(f) = -31*f**3 - 3*f - 1. What is the tens digit of m(u)?
3
Let a be (-6)/4 + 1190/28. Suppose -5*o - a + 6 = -5*i, 4*o + 12 = 0. What is the units digit of i?
4
Let h(x) = 4*x**3 + x**2 - 4*x. Let p(y) = 5*y**3 - 3*y + 1. Let r(q) = 4*h(q) - 3*p(q). Let c be r(-5). Suppose 259 = c*d - 119. What is the tens digit of d?
5
Let b be (2/6)/(4/4440*2). Let f = -96 + b. What is the tens digit of f?
8
Let d(a) = -a**2 - 5*a + 9. Let q be d(-7). Let o(c) be the first derivative of -7*c**2 - 4*c + 42. What is the tens digit of o(q)?
6
Let o be ((-52)/(-6))/(4/(-6)). Let c be 4/(-24) + 547/6. Let i = c + o. What is the tens digit of i?
7
Suppose -14*j = -10333 + 1807. What is the hundreds digit of j?
6
Suppose -71 = -3*h + 5*p, -3*h = -4*p - 56 - 14. Let c = -112 + 352. What is the units digit of c/132 - (-4)/h?
2
Let x = 4347 + -1326. What is the thousands digit of x?
3
Let v(r) = -r**2 - 9*r - 14. Let q be v(-7). Suppose q*f - 4*f = -948. What is the hundreds digit of f?
2
Let q = -1619 - -2747. What is the thousands digit of q?
1
Suppose 20 = 8*f - 4*f. Let k = 2 + f. What is the units digit of k?
7
Suppose -16*d = -19*d + 108. Let l(p) = -p**2 + p - 3. Let t be l(-4). Let s = t + d. What is the units digit of s?
3
Let f(d) = d. Let j(k) = 75*k. Let h(z) = 100*f(z) - j(z). What is the tens digit of h(3)?
7
Let s(j) = 130*j
|
{
"pile_set_name": "DM Mathematics"
}
|
= 3*s - 26 for s.
-3
Solve 3*x = -64*k + 59*k + 5, 0 = 2*x + 5*k for x.
5
Solve 30*p + 2*b - 48 = 17*p, 20 = 3*p - 4*b for p.
4
Solve -5*a = -2*z + 30, 82*a - 3*z = 64*a - 87 for a.
-4
Solve 0 = 4*i - 4*m - 16, -4*i - 35 = m - 26 for i.
-1
Solve 3*b = -7*z + 2*z + 7, -18*b - z + 71 = 0 for b.
4
Solve -42 + 53 = -3*i + 2*k, 5*i + 13*k + 51 = 0 for i.
-5
Solve -2*n - 4*o - 24 = 0, -2*n = 2*n + 8*o - 24*o for n.
-8
Solve 52*b - 56*b - 16 = 0, -2*b - 14 = 3*h for h.
-2
Solve -264*q + x = -268*q + 8, -3*q = 3*x - 15 for q.
1
Solve -6574 + 6571 = 3*u, 0 = y - 4*u - 5 for y.
1
Solve 4*y - 3*x - 34 - 1 = 0, 4*y = 4*x - 1770 + 1814 for y.
2
Solve 2*y + 3*n + 22 = -6, -5*n - 20 = 0 for y.
-8
Solve 62*p - s + 26 = 67*p, -s + 10 = p for p.
4
Solve -66933*t + 66932*t = 5*x + 10, 4*t + 4*x = 3*x + 17 for t.
5
Solve -5*r - 4*z - 3 = 0, -206780*z = 3*r - 206781*z - 5 for r.
1
Solve 0 = -3*h - 4*s - 140 + 126, 3*h - 4*s - 26 = 0 for h.
2
Solve 4*w + 7 = 60*f - 57*f, f + 9*w = -8 for f.
1
Solve -177*h + 182*h + 2*v = 8, 5*h + 12 = 3*v for h.
0
Solve -4*x - 468 = -3*k - 482, -5*x = -25 for k.
2
Solve 0 = -g - 4*g + 2*a - 12, 4*a = 2*g - 8 for g.
-4
Solve -24 = -7*h + 3*h + 4*i, -189*i + 3 = -190*i for h.
3
Solve 4*s - z = 11, -39 = 3*s + 4*z - 90 for s.
5
Solve -4*z - 5*i = -58, -1865*z + 4*i - 41 = -1870*z for z.
-3
Solve -4*o + 3*d = -20, 2*o + 0*o = 3*d + 22 for o.
-1
Solve 5*c - 16 = -4*p, 13*p = 143*c - 144*c - 9 for p.
-1
Solve -1391*r = -1390*r - 5*q + 3, 0 = 3*r + 5*q + 9 for r.
-3
Solve 85*l + 23 = 80*l - j, 13 = -3*l - j for l.
-5
Solve 0 = 10*x + 459*n - 463*n - 40, -5*x + 20 = -3*n for x.
4
Solve -2*z + 33 = 2*p - 7*p, -3*p = 46*z - 45*z for p.
-3
Solve 0 = -5*w + 2*i - 92, 567 = 3*w - 4*i + 625 for w.
-18
Solve -4*y - 3*s = 15, -4*y + 81*s - 9 = 78*s for y.
-3
Solve -198 + 199 = -2*b - z, 3*b + 5*z + 19 = 0 for b.
2
Solve 3*u + 3*f = -15, 6*u = 4*f - 11 - 49 for u.
-8
Solve -10 = 2*v + 4*g, -1612*g + 2 = -0*v + v - 1617*g for v.
-3
Solve 3*d - 132*g + 137*g = -11, 6 = -5*d + 4*g for d.
-2
Solve -5*o + 5*r = 0, -2*o - 5*r - 101 = -129 for o.
4
Solve 6 = 3*w - 2*x, w + 336*x - 18 = 342*x for w.
0
Solve 5*l + 97 = -8285*k + 8281*k, 0 = 3*l - 4*k - 57 for l.
-5
Solve -x + 36 = -3*o, 4*x + 9433*o - 9439*o = 72 for x.
0
Solve -5*w + 14 = -2*v, -205*v + 204*v = -2*w + 5 for w.
4
Solve -75 = -39*t - 4*z, -3*t - 11*z = -12*z + 6 for t.
1
Solve 0 = -4*f + 2*c + 24, 2121*c - 2096*c + 1 = 3*f - 158 for f.
3
Solve -2*z - 10 = 0, 17 = -11*q + 15*q - z for q.
3
Solve 0 = -4*s + 336*u - 340*u, 3*u + 1 = -4*s for s.
-1
Solve -2*f = 2*k - 680 + 682, 0 = -2*k - 3*f + 1 for k.
-4
Solve -26*v + 21*v = 2*t - 36, 21*v = -3*t + 135 for t.
3
Solve 3*j - 5*b - 8 = 0, 43*j - 2*b - 5 = 40*j for j.
1
Solve -19 = -4*f - t + 2*t, 23 + 23 - 31 = -5*t for f.
4
Solve 2*y = 2*t - 30, -3*y = -5*t + 28 + 27 for y.
-10
Solve 2 = -b, b - 9 + 43 = -32*g for g.
-1
Solve 2*r = -a + 5, -692*a - 21 = -689*a - 3*r for a.
-3
Solve 2*h + 2*g = -0*g - 6, -10*h + 2*g = -6 for h.
0
Solve 3*o - 109 = l - 114, 4*l - 4*o + 4 = 0 for l.
-4
Solve 5*t + 4*g = -7, -139921*g = 4*t - 139922*g + 14 for t.
-3
Solve -14 = 2*v + 2*s, -323*v = -327*v + 5*s - 37 for v.
-8
Solve -3*o = 111*i - 114*i - 18, 0 = -5*i - 2*o - 9 for i.
-3
Solve -40 = -9*s - 2*y + 24, -2*y + 16 = s for s.
6
Solve -5048*s + 18 = 4*c - 5046*s, 4*c = 2*s + 14 for c.
4
Solve -2*s - 5*n = 5, -97*s + 100*s = -n - 1 for s.
0
Solve 245*f - 248*f - 5 = 2*z - 3, 0 = -3*z - 3 for f.
0
Solve -4*g - 24 = 59*i - 61*i, 0 = -5*g - 2*i - 21 for g.
-5
Solve 21 = -5*p + 682*d - 680*d, -9*d = -5*p - 7 for p.
-5
Solve -2*y + 2 = -4*g, 2*y + 28*g = 33*g + 4 for y.
-3
Solve -2*l - 6091 = b - 6092, -2*b = l + 4 for b.
-3
Solve 3*i = -4*w - 37, 3*w + 1716 = -6*i - 1674 + 3336 for i.
-7
Solve 115*p = 5*w - 98*p + 196*p - 61, -5*w + 13 = -p for w.
2
Solve 6 = b - 0*u - u, 10*u = 2*b - 28 for b.
4
Solve -4*h - r = 3, h = -4*r - 1391 + 1394 for h.
-1
Solve -84 = -5*w - 10547*x + 10551*x, -5*w + 80 = -5*x for w.
20
Solve -10*h - 3*d - 1311 + 1355 = 0, -h - 10*d = 15 for h.
5
Solve -324*f + 329*f = -p - 23, -52 = 10*f + 4*p for f.
-4
Solve -2*u = -6, 17*q - 4*u - 24 = -q - 6*u for q.
1
Solve 5*q - 4*x + 65 = 0, -877*q + 46 = -881*q + 2*x for q.
-9
Solve 104*w - 44 = 94*w + 2*u, -u = 4*w + 13 for w.
1
Solve t = -5*x + 56, -27893*x = -27890*x + 3*t - 24 for x.
12
Solve -9 = -5*f + 4*l, -97*l = f - 94*l - 17 for f.
5
Solve 0 = -32*g + 29*g, -9*r - g - 63 = 54 for r.
-13
Solve 4*k + 127*x = 125*x - 8, 8*k = -x - 4 for k.
0
Solve 0 = -4*s + 16, 274*w - 273*w = s - 7 for w.
-3
Solve 2*a + 690721 - 690727 = -w, a - 3*w = -11 for a.
1
Solve -3*c + 9 = 13747*h - 13750*h, -4*c = 4*h + 36 for h.
-6
Solve -4*x - 5 = c, 74*c + 25 = 4*x + 69*c for x.
0
Solve 4*b + 2*o = -4285 + 4317, -2*b - 5*o + 80 = 0 for b.
0
Solve 5*y + 13*a + 9 = 14*a, y + 2*a = -15 for y.
-3
Solve 2*b - 3*d + 3 = 0, 51*b = 53*b - 5*d - 3 for b.
-6
Solve -5*i - 2944 + 2976 = -u, 4 = -2*u - 2*i for u.
-7
Solve -1 = -3*x + 2*y, 27*x - 32*x - 2*y = -39 for x.
5
Solve -3*z = -3*h - 3, -5*h - 116*z - 5 = -113*z for h.
-1
Solve 3*y - 4*r - 39 = 0, 1658*y - 1683*y - 2*r = -219 for y.
9
Solve 5*h + 3*w + 0*w + 6 = -0*w, 0 = 3*h + 3*w for h.
-3
Solve 13*i = -3*c - 72, -3*i - 4*c - 735 + 682 = 0 for i.
-3
Solve 13*r = -3*a + 18*r + 27, -12 = 4*r for a.
4
Solve 5*l + 5*o + 75 = 0, -35 = 5819*l - 5816*l + o for l.
-10
Solve -6*p + 48 = 0, 3*d + 14*p - 10*p = 26 for d.
-2
Solve -6*u + 343 - 351 = 2*v, -3*u + 5*v = 16 for u.
-2
Solve -6*g = -2*f - 10, 177*g - 29 = 175*g + 3*f for g.
-2
Solve 5*m + 3*x = -19, -3*x + 3 - 10 = -m for m.
-2
Solve -13*r + 85 = -29*m + 25*m, -2*r + 5 = m for m.
-5
Solve 3*d = 5*q + 3, -3*d - 18*q + 17 = 83 for d.
-4
Solve -11*o + 98 = 5*g, -2*g = -499*o + 503*o - 36 for g.
2
Solve -4*w = 3*m + 5, 0 = -16827*w + 16830*w - 2*m + 25 for w.
-5
Solve 7*i = 3*b + 11, -82*i - 29 = b - 78*i for b.
-13
Solve -3*t - 5*x = 14, -90*t + 3*x = -86*t - 20 for t.
2
Solve -194*k - 3 = -197*k, -2*g = 3*k - 9 for g.
3
Solve -1 = 11*g - 10*g + 5*o, -15 = -2*g + 7*o for g.
4
Solve 3*b + 4*m + 19 = 0, -10*b + 7*b - 10 = -5*m for b.
-5
Solve 62*k = 58*k - b + 23, -3*b = 4*k - 29 for k.
5
Solve -r + 49*w - 52*w = 2*r, 2*r = 4*w for r.
0
Solve -2*q - 3*o + 11 = 18, -3*q - 2*o = 3 for q.
1
Solve -80 = 16*u, 0 = 1257*i - 1260*i + 3*u - 27 for i.
-14
Solve 51*m - 5*y = 56*m + 20, -2*m - 5*y = 17 for m.
-1
Solve -416*b - 5 = 5*j - 414*b, 4*b + 18 = -2*j for j.
1
Solve 7 = -3*t + 2*j, 2*j = 6*t - 7*t - 5 for t.
-3
Solve -d - 2*r = 1, 0 = -3*r + 15 - 9 for d.
-5
Solve -452*u = j - 448*u - 6, 5*u = -2*j + 12 for j.
6
Solve 4*i - 78 = 2*j, -2760 + 8609 = 308*i + 3*j for i.
19
Solve -25 = 5*g - r + 7, 4*r = g + 33 for g.
-5
Solve 3*g + 25 - 16 = -2*f, -4*g = 3*f + 12 for f.
0
Solve -5*b = 5*o - 15, 53*b - 3*o = 58*b - 19 for b.
5
Solve 82*l - 3*h = 80*l - 1, 3*l = 3*h + 3 for l.
4
Solve 4*o + 4*d = 4, -2944*o + 4*d + 8 = -2945*o for o.
4
Solve -z = -9*v + 46, -25*v - 2*z + 18 = -21*v for v.
5
Solve -18*d - 3*i + 1 = -19*d, d = -2*i + 9 for d.
5
Solve -i = 13*w - 14, -3*w - 92*i + 89*i = -6 for w.
1
Solve 4*y + 13 = -u, -28 = -5*u - 3*y - 42 for u.
-1
Solve q + 12 = -13*p + 15*p, -3*p + q = -15 for p.
3
Solve -3*f - 6074*d + 6078*d = -28, -2*f = 4*d + 8 for f.
4
Solve 3*u - 4*q + 10*q - 7*q = 47, 3*q = 3 for u.
16
Solve -18 = 35*h - 32*h - 2*l, -h - 4*l + 8 = 0 for h.
-4
Solve -5*p - 50 = -5*t, 31*p + 2*t = 64*p - 33*p + 2 for p.
-9
Solve -32*n + 37*i - 35*i - 8 = -30*n, 2*n - 3*i = -10 for n.
-2
Solve 4*y = 5*v - 12, -16*v - 9 = 132*y - 129*y for v.
0
Solve -2*y - 33 = 5*x, -543*x - y = -544*x + 6 for x.
-3
Solve 15 = 4*y - 7*x - 5, 0 = 2*y + 2*x + 12 for y.
-2
Solve 2*c - 5*j - 285 = -295, 5*j = -5*c + 45 for c.
5
Solve 223*p + 22 = -n + 218*p, 3*p + 2 = 5*n for n.
-2
Solve 4*s = 3*g + 7, -4*g = -2*s - 4 + 10 for s.
1
Solve 15*a = -2*o + 13*a - 14, -4*o + 62 = -14*a for o.
-2
Solve -t = -23*l + 18*l + t, -16*l - 3*t = 0 for l.
0
Solve 43872*y = 5*x + 43869*y - 50, 9*x - y = 68 for x.
7
Solve -19*f - 3*i - 8055 = -8081, -5*f + 3*i = 50 for f.
-1
Solve -18 = 173*x - 172*x - 5*y, 3*y - 6 = -x for x.
-3
Solve -4*b = 44*l - 42*l + 60, 53 = -5*b + 3*l for b.
-13
Solve -4*c = 3*h + 30 - 61, -4*h + 40 = 5*c for c.
4
Solve -4*y =
|
{
"pile_set_name": "DM Mathematics"
}
|
se -5*m - 29 = -2*a, 6*a = a - 3*m + 119. Let k(x) = 6 - a - 53*x - 10*x. Is k(-11) a prime number?
True
Let c be 18723/6 + 2/4. Suppose 2*t = 5*h - c, -12 + 3 = 3*t. Is h composite?
True
Let u = -255 + -380. Let i = 277 + u. Is (-2 + -1)*i/6 a composite number?
False
Suppose -3*o + 3*p = 6, -o = -p - 2*p. Is ((-166)/(-8))/(o/(-60)) composite?
True
Suppose -l + 374 = -q, 2*l + 2*l + 2*q - 1472 = 0. Suppose -4*z = -6*z + l. Is z a prime number?
False
Let a(u) = -u**3 - 12*u**2 + 15*u - 25. Let r = 1 - 15. Is a(r) composite?
False
Let c(o) = -o**3 - 5*o**2 + 3*o + 5. Let g be c(-5). Let l = -6 - g. Suppose a - 119 = 4*r, l*a + 0*a = r + 461. Is a a prime number?
False
Let k be 6*(-3 + (-22)/(-6)). Suppose -k*r - 105 = r. Let o = r - -58. Is o prime?
True
Let y(l) = 3*l**2 + 14*l - 23. Is y(-22) a prime number?
False
Let x = -30813 - -58151. Is x a prime number?
False
Suppose -337 = -2*k + 459. Suppose -2*f + 264 = -k. Is f a prime number?
True
Let l be 172942/20 + 1/(-10). Suppose 4*c + 0*u + u - l = 0, 0 = -c + 2*u + 2155. Is c composite?
False
Suppose k + m - 2373 = 0, 2*k + 515 = -3*m + 5263. Is k a prime number?
True
Let c = 12532 - 669. Is c a composite number?
False
Let a = 13757 + -24101. Is ((-5)/(100/a))/(4/10) prime?
False
Let n = -1 + 156. Is n composite?
True
Let w = 64 + -55. Suppose -7*t - 4*f = -6*t - 91, -w = -3*f. Is t composite?
False
Suppose -x = 4*s - 21, 6*s = 8*s - 6. Suppose -4948 = -x*f + 2225. Is f composite?
False
Is (-20)/5 - (-386124)/12 composite?
False
Suppose a - 101 = -0*a. Suppose 0 = -2*o + a + 175. Suppose 5*u = -3*f + 571, 3*f - 417 = 3*u + o. Is f a composite number?
True
Let m be (-3 - -3)*1/3. Let l(f) = 2*f + 779. Is l(m) prime?
False
Suppose -4*a - 30 = -5*k - 0*a, -5*a = -5*k + 25. Let n be ((-24)/k)/(3/90). Let m = 125 + n. Is m prime?
True
Let d(r) = 2*r**3 + 13*r**2 - 6*r + 13. Is d(6) a prime number?
True
Is -174 + 167 - -1*6980 a composite number?
True
Let y be (1566 - 3)*8/6. Let u be 2/(-4)*(-4 + 2) + -5. Is u/(-28) + y/14 prime?
True
Let g(q) = 21*q + 10. Let i(w) = 22*w + 9. Let a(f) = 5*g(f) - 6*i(f). Let d be ((-56)/(-16))/((-1)/2). Is a(d) prime?
False
Suppose 4 + 18 = 11*j. Suppose 2*p = -g + 4033, 4*p + j*g - 8070 = 4*g. Is p prime?
True
Let z(o) = o**2 + 8*o - 2. Let a be z(-6). Let l be a/4 + (-6)/(-4). Let g(r) = 10*r**2 + 3*r + 1. Is g(l) a prime number?
False
Is ((-844372)/(-9))/4 + 96/432 composite?
True
Suppose 1169 = -5*d - 0*x + x, x = -3*d - 695. Let m(k) = -3*k**3 - k - 4. Let h be m(3). Let t = h - d. Is t prime?
False
Suppose 0 = 27*z - 22*z. Suppose 0 = g - 2 - z. Suppose -g*p + 0 = -6, -3*p + 1954 = 5*x. Is x prime?
True
Suppose 16183 = 60*i - 59*i. Is i a prime number?
True
Is (-3241728)/(-90) - (-1)/(-5) a composite number?
True
Let g(w) = -268*w + 534. Is g(-11) a composite number?
True
Suppose -3*h - 2*h - 15 = 3*l, -2*h = -5*l - 25. Is -1039*(l + 2 - -2) prime?
True
Let n(i) = -1347*i + 15. Let a be n(-4). Is (-3)/(-4 - (-21609)/a) prime?
False
Let x(g) = -1. Let h(k) = -171*k + 114. Let f(l) = -h(l) - 114*x(l). Let n be f(1). Suppose 3*q + n = m + 44, -5*m - 3*q + 671 = 0. Is m a prime number?
False
Suppose -h = -3*w + 19, -5*h + 4*w - 152 = 8*w. Suppose 30 = -3*o - 75. Let n = h - o. Is n a composite number?
False
Let g(r) = r - 6. Let m be g(16). Suppose b + 31437 = m*b. Is b a composite number?
True
Is 14/4*(6 - -938) - -1 composite?
True
Is 1 - (-30344 + (-49)/(-7) - 3) a prime number?
True
Suppose -2*z - 190 = -7*z. Let n = 17 - z. Let i = n + 124. Is i a prime number?
True
Let n = 100 + -8. Let t = -46 + n. Is t a prime number?
False
Let d be 2/(-5)*(-4 + -1). Let n be d*2 - (9 - 5). Suppose 5*v - 2*v - 165 = n. Is v a composite number?
True
Let b = -137 - -63. Let p = b - -153. Is p composite?
False
Let a(n) = 5682*n + 233. Is a(4) a composite number?
False
Suppose 2220 = -5*g + 3*d, g - 5*d = -0*g - 422. Let n = 894 + g. Suppose 2*j - n = j. Is j composite?
True
Let v(t) = -t - 2. Let r be v(-4). Suppose g - 9 = -r*g. Let b(y) = 4*y**3 - y**2 + 4*y - 2. Is b(g) a composite number?
False
Let z(x) = -x + 1. Let g be z(-2). Suppose 5*l = 6*s - s - 105, 0 = g*s. Let a = l - -98. Is a a composite number?
True
Let l(v) = -v**2 - 2*v. Let t be l(0). Suppose -j - 5*y + 164 = t, 2*j - 7*j = -4*y - 733. Is j composite?
False
Let d = -30 + 32. Is 14643/36 + d/8 a composite number?
True
Let x = 3219 + -1647. Suppose -2*b = 2*m - 770, -2*b - 2*b - x = -4*m. Is m prime?
True
Suppose 4*a - 12*a = -22664. Is a a composite number?
False
Is 23006*(6/(-27) + 99/81) a composite number?
True
Let b be 32596/6 + (-38)/57. Let p = b - 3775. Is p a prime number?
True
Suppose v = -6*m + 8*m - 569, 1430 = 5*m - v. Is m composite?
True
Let n be ((-2)/6 - 2)*(-58 - -4). Let i = n + -29. Is i composite?
False
Let p = 119 - 91. Is (1137/12)/(7/p) a composite number?
False
Let i = 1884 + -1322. Let c = i + -167. Is c a prime number?
False
Suppose 0 = -3*q - x - 52, 0*q + q + x + 16 = 0. Is (-34)/102 - (-3)/(q/(-3380)) prime?
True
Suppose 0 = 5*d - 5*b - 145960, 5*d - 8*d - 4*b = -87597. Is d composite?
True
Let t(w) be the first derivative of 102*w**3 - w**2 + 2*w - 9. Let j be t(1). Suppose -1650 = -5*l + 2*o - o, l - 5*o - j = 0. Is l prime?
True
Suppose -5*j + 214 = -3*j. Suppose 3*i - j = 496. Is i composite?
True
Let n(f) = f**3 - 2*f**2 + f - 3. Suppose -3*k - 5*m = 20, m + 3*m + 16 = -k. Suppose i + 4*i - 20 = k. Is n(i) prime?
False
Is 4395321/441 + (-4)/(-14) prime?
True
Suppose 2*a - 36620 = 5*v, -4*v = 4*a - 3*v - 73218. Suppose 4*u - 7343 = 2*u + 5*d, 2*d + a = 5*u. Is u prime?
True
Suppose -16 = -4*n, -3*n = 3*b - 0*b - 795. Let f = 1140 - b. Let q = f + -548. Is q prime?
True
Let f(u) = -12*u - 13 - 18*u**2 - 21*u**2 + u**3 - 18*u**2 + 48*u**2. Suppose -i + 3*c + 5 = -4, -4*i = c - 62. Is f(i) a composite number?
True
Let d = 25 + -15. Suppose d = -4*b + 3*b. Let a = 69 + b. Is a a composite number?
False
Let c(m) = -2*m**3 - 2*m**2 - 24*m + 1. Is c(-9) composite?
True
Let c = -12 + 0. Let n = -9 - c. Suppose -n*u + 1315 = -4*i, -872 = -u - u - 2*i. Is u a composite number?
True
Let s(x) = -446*x**3 + 2*x**2 - 17*x - 5. Is s(-4) composite?
True
Let k = -614 + 881. Let o be 17/(-5) - 9/15. Is 2/(o/k)*-2 prime?
False
Suppose 20*r + 5*s - 188123 = 17*r, 4*r - 250852 = 4*s. Is r a prime number?
False
Suppose 0 = 3*q - 3*g - 273, 5*q + 5*g + 16 = 491. Suppose 4*s - 20 = 0, -4*c - 2*s + 21 + q = 0. Is c a prime number?
False
Let t(r) = 88*r**3 - 2*r**2 + r + 2. Let v be t(-1). Let y = v + 996. Is y a composite number?
False
Suppose m + 3835 = g + 701, 2*g + 15698 = -5*m. Suppose 0 = 3*u + 14 - 59. Is (-5)/2*m/u a prime number?
True
Let i(v) = -v**2 - 6*v - 3. Let h be i(-2). Suppose 0 = -3*d - 1 - h. Is (d/4)/(6/(-1020)) a composite number?
True
Suppose -3*p + 10 = -32. Let b(m) = -m**3 + m**2 - m - 2. Let w be b(-3). Let r = w - p. Is r prime?
True
Let g be 39/2*(-44)/(-33). Let b = g - -62. Is (b/(-12))/(4/(-102)) a composite number?
True
Suppose 2*y + 24768 = 3*r + 77065, -104591 = -4*y + 3*r. Is y a prime number?
False
Let d = 23133 - 15236. Is d prime?
False
Suppose -4*j = -d - 1728 - 408, -4*j - 8604 = 4*d. Let o = d + 3289. Is o prime?
False
Suppose 2*z - 2*s = 495 + 20369, -2*s - 41730 = -4*z. Is z prime?
True
Let a(u) = -u + 13. Let h be a(13). Suppose 3*n + h*n = 0. Suppose z = -3*o - n*o + 782, 2*o - 3*z - 503 = 0. Is o a prime number?
False
Suppose 3*o + l - 3*l = -4, 5*l = 2*o + 21. Suppose -o*h - 3*h - 4150 = 0. Is 6/(-21) + h/(-14) composite?
False
Let t(i) = 4*i - 42. Let w be t(11). Is (-10)/(-20)*w*2743 composite?
True
Let y(s) = 283*s - 1. Let m = 4 + 0. Suppose -b - m*b - 11 = -3*w, b - 9 = -5*w. Is y(w) a composite number?
True
Let f be (-3)/(9/12)*-1. Suppose f*g = 6406 + 5406. Is g composite?
False
Let f be 2/(-19) - (-531)/171. Suppose -447 = -f*c + 84. Is c prime?
False
Suppose u - 12 = -28. Let j = u + 10. Let r(q) = 7*q**2 + 1. Is r(j) prime?
False
Let b = 1382 - -2205. Is b a prime number?
False
Let a(h) = 2*h**2 + 3*h + 7. Let o(b) = 2*b**2 + 3*b + 6. Let y(l) = 6*a(l) - 5*o(l). Let c be 3/(-15) - (168/(-15) - 0). Is y(c) a composite number?
True
Suppose 2*f = 0, -3*c + 58 = 4*f + 52. Let d = 720 - 401. Suppose c*k = 3*k + 4*s - 177, -2*k - s = -d. Is
|
{
"pile_set_name": "DM Mathematics"
}
|
inator of 41/7 and 41/5737.
40159
What is the lowest common multiple of 28 and 72?
504
What is the smallest common multiple of 294 and 252?
1764
What is the common denominator of 43/20 and 37/564?
2820
What is the lowest common multiple of 759 and 230?
7590
Find the common denominator of 95/24 and 109/42.
168
What is the smallest common multiple of 12014 and 14?
84098
Calculate the lowest common multiple of 6 and 720.
720
Calculate the common denominator of 77/465 and 29/30.
930
Find the common denominator of -95/4 and 155/126.
252
Find the common denominator of 97/20 and 119/30.
60
What is the least common multiple of 168 and 21?
168
Find the common denominator of 151/768 and 35/432.
6912
What is the lowest common multiple of 66 and 681?
14982
Calculate the common denominator of -143/828 and -43/102.
14076
Find the common denominator of 29/714 and 47/49.
4998
Calculate the lowest common multiple of 3771 and 2095.
18855
Calculate the lowest common multiple of 513 and 72.
4104
What is the least common multiple of 88 and 164?
3608
What is the common denominator of -49/156 and 53/286?
1716
Calculate the smallest common multiple of 258 and 14.
1806
Calculate the least common multiple of 346 and 34.
5882
What is the common denominator of 43/23 and -31?
23
What is the least common multiple of 3136 and 8?
3136
Calculate the lowest common multiple of 76 and 95.
380
Calculate the lowest common multiple of 48 and 12.
48
Calculate the common denominator of 107/154 and 11/14.
154
What is the common denominator of -59/6 and 83/108?
108
What is the lowest common multiple of 70 and 658?
3290
What is the common denominator of 49/360 and 59/160?
1440
What is the smallest common multiple of 644 and 126?
5796
Calculate the smallest common multiple of 45 and 6.
90
Calculate the lowest common multiple of 5573 and 11.
61303
What is the smallest common multiple of 8 and 153?
1224
Find the common denominator of -2/17 and -70/177.
3009
Find the common denominator of -48/385 and -17/210.
2310
Calculate the common denominator of -50/669 and -89/24.
5352
What is the least common multiple of 2382 and 13101?
26202
Calculate the least common multiple of 1078 and 8.
4312
What is the common denominator of 31/7 and -11/1962?
13734
Calculate the smallest common multiple of 650 and 30.
1950
What is the common denominator of -8/121 and 5/77?
847
What is the common denominator of -9/68 and -73/40?
680
What is the common denominator of -40/2727 and 151/3030?
27270
Find the common denominator of -91/292 and -7/657.
2628
Calculate the common denominator of -11/3376 and 57/44.
37136
What is the least common multiple of 26 and 54?
702
What is the common denominator of 18 and -32/163?
163
What is the least common multiple of 450 and 20?
900
Calculate the least common multiple of 301 and 215.
1505
Calculate the smallest common multiple of 14 and 88.
616
Calculate the lowest common multiple of 1560 and 10.
1560
Find the common denominator of 137/48 and 37/144.
144
Calculate the smallest common multiple of 40 and 610.
2440
Calculate the common denominator of 4/539 and -50/259.
19943
Calculate the smallest common multiple of 9 and 6.
18
Calculate the least common multiple of 33 and 11.
33
What is the least common multiple of 980 and 32?
7840
What is the common denominator of 12/235 and 57/517?
2585
Find the common denominator of 119/3300 and -59/1496.
112200
Calculate the lowest common multiple of 5 and 283.
1415
What is the least common multiple of 56 and 148?
2072
What is the smallest common multiple of 160 and 7?
1120
What is the common denominator of 19/5742 and -1/8?
22968
Find the common denominator of -139/222 and 83/1443.
2886
Find the common denominator of -97/220 and -105/242.
2420
What is the smallest common multiple of 18429 and 7?
129003
What is the common denominator of -29/72 and -5/198?
792
Find the common denominator of -17/32 and -53/16.
32
What is the smallest common multiple of 50 and 230?
1150
What is the least common multiple of 57 and 12?
228
Find the common denominator of -111/1640 and -43/160.
6560
Calculate the least common multiple of 84 and 462.
924
What is the common denominator of -38/3 and -50/363?
363
Find the common denominator of -29/55 and 87/740.
8140
What is the common denominator of 62/45 and -28/9?
45
Calculate the common denominator of 43/24 and -71/9.
72
Calculate the smallest common multiple of 112 and 30.
1680
Find the common denominator of 5/136 and 21/68.
136
What is the common denominator of -5/5562 and -37/10?
27810
What is the least common multiple of 25 and 30?
150
What is the least common multiple of 364 and 126?
3276
Calculate the common denominator of 107/384 and 55/1792.
5376
What is the common denominator of -44/9 and -149/90?
90
What is the smallest common multiple of 128 and 9?
1152
What is the common denominator of 49/184 and -57/184?
184
Calculate the lowest common multiple of 626 and 4.
1252
What is the common denominator of -47/162 and -17/90?
810
Calculate the common denominator of 4/119 and 95/714.
714
What is the common denominator of 47/12 and -71/40?
120
Find the common denominator of 83/196 and -65/9.
1764
Find the common denominator of 44/31 and 101/186.
186
What is the common denominator of -24/545 and -117/14?
7630
What is the smallest common multiple of 475 and 1120?
106400
Find the common denominator of -67/28 and 49/4.
28
Calculate the least common multiple of 37 and 6216.
6216
Calculate the lowest common multiple of 91 and 117.
819
Calculate the common denominator of -49/297 and -1/90.
2970
Calculate the common denominator of -31/1228 and -77/40.
12280
Calculate the smallest common multiple of 10 and 109.
1090
What is the least common multiple of 4 and 1180?
1180
What is the common denominator of -49/5 and 21/22?
110
What is the common denominator of -1/344 and -97/40?
1720
Find the common denominator of 41/56 and -83/294.
1176
What is the common denominator of 1/21 and -29/831?
5817
What is the common denominator of 73/150 and -51/4?
300
Calculate the lowest common multiple of 123 and 12.
492
Calculate the lowest common multiple of 3 and 3711.
3711
Find the common denominator of 54/175 and -47/9.
1575
Calculate the least common multiple of 130 and 455.
910
What is the least common multiple of 78 and 78?
78
Calculate the least common multiple of 48 and 132.
528
What is the common denominator of 101/650 and -67/182?
4550
Calculate the least common multiple of 30 and 10.
30
Find the common denominator of 33/56 and -95/616.
616
Calculate the lowest common multiple of 32 and 916.
7328
Calculate the smallest common multiple of 4 and 1774.
3548
Calculate the common denominator of 35/2 and 49/26.
26
Calculate the common denominator of 83/8 and -55/2996.
5992
Calculate the smallest common multiple of 24 and 92.
552
Calculate the least common multiple of 10 and 5.
10
What is the common denominator of 19/94 and 7/376?
376
What is the smallest common multiple of 2 and 36?
36
Calculate the common denominator of -63/88 and -95/224.
2464
What is the common denominator of 70/3 and 41/12?
12
Find the common denominator of -107/308 and -163/168.
1848
What is the common denominator of -91/44 and -29/32?
352
What is the common denominator of -4/3 and -25/2207?
6621
Find the common denominator of -3/2341 and 27/4.
9364
Calculate the common denominator of -10/77 and -29/21.
231
What is the common denominator of 139/280 and 37/192?
6720
Find the common denominator of -73/104 and -113/130.
520
What is the smallest common multiple of 110 and 1760?
1760
What is the smallest common multiple of 4009 and 95?
20045
Calculate the lowest common multiple of 464 and 377.
6032
What is the lowest common multiple of 455 and 91?
455
Calculate the lowest common multiple of 80 and 200.
400
What is the common denominator of 17/4 and -115/6948?
6948
Calculate the lowest common multiple of 220 and 4.
220
Find the common denominator of -52/21 and 109/216.
1512
Calculate the least common multiple of 10088 and 5044.
10088
What is the least common multiple of 12 and 96?
96
What is the lowest common multiple of 12 and 59?
708
Find the common denominator of -57/16 and 83/144.
144
Calculate the lowest common multiple of 160 and 200.
800
What is the least common
|
{
"pile_set_name": "DM Mathematics"
}
|
to 7 dps.
-0.000001
Let j = -17.73 + -0.27. Let d = j - -14. Let g = 4.000018 + d. What is g rounded to 5 dps?
0.00002
Let f = 3.56 + -3.9. Let t = 0.6 + f. Let v = 0.25999995 - t. What is v rounded to 7 dps?
-0.0000001
Let t = 8427751 + 283316. Suppose 10008969 + t = 4*x. Let u be (-3)/4 + x/12. Round u to the nearest 100000.
400000
Let m = -1517.33 + 1510. What is m rounded to one dp?
-7.3
Let l = 290 - 290.1709. What is l rounded to two decimal places?
-0.17
Let v(m) = 4250*m**3 + m**2 + 2*m. Let f(p) = -p**3 + 4*p**2 - 5*p. Let y be f(2). Let x be v(y). Round x to the nearest ten thousand.
-30000
Let w be 540/8*-6*(-280)/(-21). What is w rounded to the nearest one thousand?
-5000
Let h = 13.999999485 + -14. Round h to seven decimal places.
-0.0000005
Let q = 15.9 - 2.9. Let j = -12.999909 + q. What is j rounded to 5 decimal places?
0.00009
Let t = -0.21102584 + 0.211. What is t rounded to 6 decimal places?
-0.000026
Let n be (-79537515)/(-114) - 5/(-2). Round n to the nearest 100000.
700000
Suppose -5*n = -1077 + 347. Let p = 7 - 4. Suppose -5*k = p*v + n - 1284, 0 = -3*v - 12. What is k rounded to the nearest one hundred?
200
Let o = -133 + 378. Let g = o + -245.00157. What is g rounded to 4 decimal places?
-0.0016
Suppose 17*d - d = 467200. What is d rounded to the nearest ten thousand?
30000
Let a = 2017.99999027 + -2018. Round a to 6 decimal places.
-0.00001
Let g = 0.003 + 17.997. Let p = 16.15 - g. Round p to one decimal place.
-1.9
Let i = 1.49 + -1.775. Round i to 2 decimal places.
-0.29
Suppose 0 = -2*z - 254 - 248. Let i(s) = -19*s + 3. Let j be i(6). Let x = z - j. What is x rounded to the nearest 10?
-140
Let n(z) = 18519*z**2 - 7*z - 3. Let l(u) = -37038*u**2 + 15*u + 6. Let o(d) = -6*l(d) - 14*n(d). Let t be o(9). What is t rounded to the nearest 100000?
-3000000
Let t = -5.336 - -6.7115. Round t to two decimal places.
1.38
Let v = -67.29 + 64. Let s = v + 3.1. Let c = 0.11 - s. Round c to the nearest integer.
0
Let n = -15 - -17. Let q = -4 - n. Let r = q - -6.01. What is r rounded to two decimal places?
0.01
Let x = 746.9527 + -747. Let f = 10.5727 - x. What is f rounded to 0 decimal places?
11
Suppose -2*c = -5*r + 673722, 1010600 = -7*c + 4*c - r. Suppose -2*d + 1042380 = -1711352. Let f = c + d. What is f rounded to the nearest 100000?
1000000
Let b = -0.272 - -6.072. Round b to the nearest integer.
6
Let s be (-3 + 13011/12)/(7/168). Round s to the nearest one thousand.
26000
Let p = -21368 + 21330.577. Let v = p - -0.023. Round v to zero decimal places.
-37
Let l = 60.84 + -67. Let r = l - -0.56. Round r to the nearest integer.
-6
Let v = 2810.01187 - 2810. Round v to 3 decimal places.
0.012
Let m = -847.87 + 858. Round m to zero decimal places.
10
Let x = -13.0014 + 0.2314. Round x to the nearest 10.
-10
Let d = -354.2635 - -354. Let k = 0.044 + d. Let l = k + -0.0515. Round l to two decimal places.
-0.27
Let p(b) = -157*b + 59. Let m be p(37). Round m to the nearest 1000.
-6000
Let l be (-1250)/(-4*(-2)/(-51392)). What is l rounded to the nearest one hundred thousand?
8000000
Suppose 5*n = 4*z + 200, 5*z = -n - 3*n + 160. Suppose 4*h + h = -n. Let j be ((-48)/2)/(h/(-1800000)). Round j to the nearest 1000000.
-5000000
Let v = -42021508.12999845 + 42021380.13. Let d = -128 - v. What is d rounded to 7 decimal places?
-0.0000016
Let i = -208126 + 208121.53029. Let x = 6.969578 + i. Let w = x + -2.5. Round w to five decimal places.
-0.00013
Let t = -0.052 + -0.16. Let g = t + -1.608. Let c = -1.82000091 - g. Round c to seven decimal places.
-0.0000009
Let m = 26583 - 26702.01. Let f = m - -120. Let q = -0.9899953 + f. What is q rounded to six dps?
0.000005
Let h(k) = 15077*k + 38. Let x be h(17). Suppose 5*d - x = -771347. What is d rounded to the nearest 10000?
-100000
Let x = -62.71004 - -2737464.71004. Let l = 2737288.9951 - x. Let a = l - -113. What is a rounded to three decimal places?
-0.005
Let v = -173 - -249. Let a be 844000/(v/20 + -4). What is a rounded to the nearest 100000?
-4200000
Let b = -87731558 - -87731413.000284. Let h = -145 - b. What is h rounded to 5 dps?
-0.00028
Suppose -3*v + 4228 = 5*k, -k = v + 4*v - 7054. Suppose -f - 1689 = v. Round f to the nearest 1000.
-3000
Suppose p - 185997 = -5*x + 2*p, -4*x - 3*p = -148809. What is x rounded to the nearest 1000?
37000
Let w(t) = -5 + 0 - 36673*t - 17217*t + 10555*t. Let j be w(-3). Suppose -3*b + j = -5*b. Round b to the nearest ten thousand.
-70000
Let r = 3.182554364 - -0.017438336. Let s = r + -3.2. Round s to 6 decimal places.
-0.000007
Let r = -9110.5393 - -1.5393. Let s = 9103.747 + r. Let k = s + 5.3. Round k to 2 decimal places.
0.05
Let h(k) = 39*k**3 - 7*k**2 - 2*k. Let w be h(-4). Round w to the nearest ten thousand.
0
Let h = -5.192 + 5.1919995797. What is h rounded to 7 decimal places?
-0.0000004
Let n = -113.46356 + 0.09356. What is n rounded to the nearest ten?
-110
Let l = 5.7 + -38.7. Let i = 11 + l. Let k = i + 21.999898. Round k to five decimal places.
-0.0001
Suppose p = -1, 5*d - 4*p = -41460 - 30036. Round d to the nearest 1000.
-14000
Let c(r) = r**3 - 6*r**2 + 2*r - 18. Let w be c(6). Let t(v) = 38889*v**2 - v - 10. Let l be t(w). What is l rounded to the nearest one million?
1000000
Let g = 2.1 + -4.7. Let d = -0.4 - g. Let f = d - 4.6. Round f to zero dps.
-2
Let g be 23/(-1)*(78 - -4). What is g rounded to the nearest one hundred?
-1900
Let x(w) = w - 9. Let h be x(8). Let a be 0/(3 - 6)*h. Let o be 7199998 + (a + -1)*-2. Round o to the nearest 1000000.
7000000
Let o = -36 - -41. Suppose 1409985 = 3*n + 2*j + j, o*n - j = 2350005. What is n rounded to the nearest one hundred thousand?
500000
Let g = 1101 + -1100.99996468. What is g rounded to 5 dps?
0.00004
Let q = -0.11 - -8.11. Let k = 8.05 - q. Let h = -0.04999989 + k. Round h to 7 decimal places.
0.0000001
Let l = 1.91 + -1.749. Let m = 63.839 + l. Let n = -63.99999937 + m. What is n rounded to seven decimal places?
0.0000006
Let a = -249.7 - -34.7. Let p = a + 109. Let h = p - -106.00071. Round h to four decimal places.
0.0007
Let p be ((-8)/((-320)/2250))/((-2)/(-1568)). What is p rounded to the nearest 1000?
44000
Suppose w - 3*p - 12 = -3*w, w + 4*p = 22. Suppose -w*q + 2*q - 76400 = 0. What is q rounded to the nearest one thousand?
-19000
Let m = -356.8 - -295. What is m rounded to the nearest integer?
-62
Let o = 26923704.9995 - 26935672. Let m = o + 11961. Let a = 6 + m. What is a rounded to 3 decimal places?
-0.001
Let q = 622.999999531 + -623. Round q to 7 decimal places.
-0.0000005
Suppose 0 = -3*h + k - 356599, -2*k = -6 - 2. Let r = h + 190865. Round r to the nearest ten thousand.
70000
Let u = -409.15 + 401. Let n = -10 - -18. Let i = n + u. What is i rounded to 1 dp?
-0.2
Let j = -34602.71475 - -33205.4647505. Let u = j - -1397.11. Let h = u + 0.14. What is h rounded to 6 dps?
0.000001
Let u be (-3)/(-1) - -315*79896. Let m = -17467243 + u. Round m to the nearest one million.
8000000
Let k(i) be the first derivative of -99/4*i**4 + 1/2*i**2 + 9 - i**3 + 2*i. Let w be k(2). What is w rounded to the nearest 100?
-800
Let n(d) = d**2 + 6*d - 9. Let g be n(-7). Let q(i) = 189*i**2 + 3*i. Let l be q(g). Round l to the nearest 100.
800
Let c = 5.13 - -0.03. Let b = -0.34 - c. Round b to 0 decimal places.
-6
Let l = -982 + 921.3. Round l to the nearest 10.
-60
Let l = 711 + -450. Let v = -261.0000247 + l. What is v rounded to six dps?
-0.000025
Let f(r) = -r**2 - 18*r + 27. Let p be f(-19). Suppose p*t = 7*t + 16. Let k be (-30720024)/t - (-3)/2. What is k rounded to the nearest one hundred thousand?
-1900000
Let b = 16.71 + -16.65847. What is b rounded to 2 dps?
0.05
Let m = 114043.4011 + -114034. Let i = -9.46 + m. Let n = -0.06143 - i. What is n rounded to 4 dps?
-0.0025
Suppose 19*l - 9*l + 4750 = 0. What is l rounded to the nearest 10?
-480
Let u = 16619195.99847 - 16619057. Let v = u - 139. Round v to four dps.
-0.0015
Let i = -528 - -528.0361. Let j = i + -0.028. Round j to 3 decimal places.
0.008
Let k = 0.08 - 9.08. Let d = 30 + k. Let y = d + -21.018. What is y rounded to 2 decimal places?
-0.02
Let z = 396.6357 + -315.63504. Let f = 81.398 - 0.398. Let d = z - f. Round d to four decimal places.
0.0007
Let y = -3.8099896 - -3.81. Round y to five de
|
{
"pile_set_name": "DM Mathematics"
}
|
s -170998575 divided by 11?
-15545325
17 divided by -823608
-17/823608
166864004 divided by 8782316
19
-5624850 divided by 267850
-21
What is -13145220 divided by -22?
597510
What is -155067635 divided by 525653?
-295
Calculate -4 divided by 1278877.
-4/1278877
What is 6320774 divided by -2818?
-2243
What is -13779996 divided by 204?
-67549
86029398 divided by -427
-201474
Divide 759860 by 43.
759860/43
214 divided by -25908
-107/12954
Calculate 5 divided by 5437380.
1/1087476
Calculate -35746627 divided by 5106661.
-7
Divide 0 by 22171150.
0
Divide 5 by 2129765.
1/425953
Divide -150094 by -240.
75047/120
Calculate 40953360 divided by -26943.
-1520
Calculate 88817932 divided by 14.
6344138
Divide -98662053 by 32887351.
-3
Divide 170660 by -4.
-42665
Divide 718632 by 718632.
1
What is 2842 divided by -26616?
-1421/13308
Divide 257090 by -354.
-128545/177
Divide -35 by 432921.
-35/432921
What is 450135155 divided by -37?
-12165815
Calculate -238 divided by -68431.
238/68431
38548600 divided by 10
3854860
Calculate -7421112 divided by -9288.
799
-16983 divided by -1965
5661/655
-183450852 divided by 39
-4703868
What is 2075332392 divided by 10234?
202788
Divide 42869865 by -6.
-14289955/2
9 divided by 5805969
3/1935323
Calculate -590823882 divided by 1782.
-331551
Calculate 437568 divided by -1032.
-424
-1103 divided by 6285
-1103/6285
Calculate -15598140 divided by 178.
-87630
What is -284618580 divided by 4743643?
-60
-7 divided by 1428764
-7/1428764
-6 divided by 589467
-2/196489
What is 5508234 divided by 6?
918039
What is 0 divided by 2209306?
0
What is -1513766 divided by 6?
-756883/3
What is 2724714 divided by 87894?
31
5 divided by -267274414
-5/267274414
Calculate -431121288 divided by 79528.
-5421
What is 450010962 divided by -6?
-75001827
Divide -3924096 by -44592.
88
Calculate -1174 divided by 11951.
-1174/11951
Divide -63003488 by 521.
-120928
What is -1794 divided by -3508?
897/1754
What is 883746 divided by -10?
-441873/5
Calculate -3 divided by -9113555.
3/9113555
Divide -83685532 by -4.
20921383
-3182949 divided by 10717
-297
-262518311 divided by -71
3697441
175560090 divided by -35112018
-5
Calculate -2239020 divided by -9.
248780
479606625 divided by 1552125
309
Calculate 45165 divided by 5730.
3011/382
Calculate -8174321 divided by 111977.
-73
-3493463 divided by 74329
-47
8 divided by 1347336
1/168417
What is 158283 divided by -444?
-52761/148
What is 286337562 divided by 358819?
798
Calculate 18 divided by 13728348.
1/762686
-518877136 divided by -6
259438568/3
Divide -101426420 by -25356605.
4
Divide -6235592 by -118.
52844
Calculate 648 divided by -6525.
-72/725
What is 353859 divided by -87?
-117953/29
What is -585609282 divided by 6?
-97601547
What is 103565592 divided by 36?
2876822
What is -607126000 divided by 10?
-60712600
Divide -29158724 by -7289681.
4
Divide -4382374 by -46621.
94
What is 1412 divided by 455?
1412/455
What is -69 divided by 62712?
-23/20904
99793508 divided by -5
-99793508/5
Divide -717030400 by -48448.
14800
Divide -4 by 1550564.
-1/387641
-6942256 divided by -433891
16
Divide 39483 by -1559.
-39483/1559
-32279114 divided by 24
-16139557/12
What is -11 divided by 58591712?
-11/58591712
Calculate 4906 divided by 8329.
4906/8329
What is -6 divided by 2130426?
-1/355071
Divide 3200883196 by -4.
-800220799
Calculate -8831 divided by -2374.
8831/2374
What is -2223141 divided by 51?
-43591
Calculate 77020944 divided by 67326.
1144
Calculate 21529011 divided by -7.
-3075573
Calculate 64491375 divided by 15.
4299425
Calculate 218074 divided by -157.
-218074/157
What is 4 divided by 15201942?
2/7600971
Divide 17 by -4211555.
-17/4211555
Divide 160798843 by -1064893.
-151
Divide 2805 by 5696.
2805/5696
Divide -609220750 by 950.
-641285
What is 1346797 divided by -1346797?
-1
Calculate 126243708 divided by -4.
-31560927
What is 1336527740 divided by -10?
-133652774
-26 divided by 133831
-26/133831
Divide 13395 by 2478.
4465/826
16563 divided by -207
-5521/69
Divide -1 by 69378052.
-1/69378052
Calculate 5359380 divided by 6871.
780
4 divided by -155041316
-1/38760329
What is 46481292 divided by 108348?
429
Divide 19828356 by -3304726.
-6
Divide 109683756 by -27420939.
-4
Divide 21557 by -553.
-21557/553
Divide -64529733 by 3.
-21509911
Divide 203254848 by -576.
-352873
Divide 522577096 by 4.
130644274
Calculate -70 divided by -7617753.
70/7617753
-8958761 divided by 12
-8958761/12
342022860 divided by 85505715
4
-11476496 divided by 4
-2869124
Calculate 20 divided by -417989.
-20/417989
Calculate 0 divided by -2474084.
0
What is -584 divided by 59584?
-73/7448
-32982588 divided by 4
-8245647
What is -347687730 divided by -3863197?
90
What is -481316 divided by 22?
-21878
Divide 156071214 by -754.
-206991
What is 2462991 divided by -370?
-2462991/370
What is 477111573 divided by -3?
-159037191
What is -3 divided by -10162998?
1/3387666
Divide -707218 by 18611.
-38
Divide -49376634 by 16458878.
-3
Calculate -9 divided by -648590.
9/648590
0 divided by 11122132
0
99 divided by 72687
33/24229
What is 254184048 divided by 21182004?
12
0 divided by -75346
0
What is -9075748 divided by -2?
4537874
What is -23841800 divided by -460?
51830
What is 98 divided by 46236?
49/23118
What is 61 divided by 13760?
61/13760
Divide -81582485 by 5.
-16316497
Calculate 1 divided by -7517796.
-1/7517796
Divide -76 by 139822.
-38/69911
Calculate -301825860 divided by -10.
30182586
Calculate 11548110 divided by -13335.
-866
-66997116 divided by -22332372
3
-1709 divided by -521
1709/521
Divide 0 by -705375.
0
Divide 80093229 by 26697743.
3
-614061 divided by -32319
19
Calculate -16 divided by 34287.
-16/34287
Divide -63973760 by 105220.
-608
Calculate 11762263 divided by 1.
11762263
Calculate -12424581 divided by 4141527.
-3
What is 8 divided by -1101574?
-4/550787
Calculate -14114 divided by -1813.
14114/1813
Calculate 6763335 divided by 6245.
1083
What is -1574928 divided by 221?
-1574928/221
What is -161 divided by 8198?
-161/8198
What is 429104 divided by 13?
33008
87 divided by 301637
87/301637
What is 1343484 divided by -6?
-223914
Divide -41414464 by -4.
10353616
-180 divided by -251289
20/27921
What is -13728693 divided by 1941?
-7073
What is 3563776 divided by 216?
445472/27
Calculate -1640940 divided by 58605.
-28
Divide 61014591 by -2.
-61014591/2
Calculate -5 divided by -4947796.
5/4947796
What is 360179720 divided by -72035944?
-5
What is -2 divided by 81916496?
-1/40958248
Calculate -852066 divided by 27.
-31558
Divide 18002930 by -2683.
-6710
What is 113478072 divided by -12?
-9456506
Calculate 3825819426 divided by 6.
637636571
Divide 297 by 31965.
99/10655
285142 divided by -126
-142571/63
Divide -6474011 by -557.
11623
Calculate 2035625 divided by 7.
2035625/7
269367208 divided by -44686
-6028
Divide 48241921 by 10819.
4459
Divide -6 by 2283279.
-2/761093
Divide 92593443 by 434711.
213
3 divided by 288797431
3/288797431
Divide -5333478 by -7.
5333478/7
Divide -103783792 by 26096.
-3977
What is 43065594 divided by -169?
-254826
Divide 321641 by 1455.
321641/1455
Calculate 3 divided by -318372.
-1/106124
Divide -8491245 by -1139.
7455
Calculate -29926534 divided by 1.
-29926534
Divide 260269129 by -2.
-260269129/2
What is 8025721 divided by -1991?
-4031
What is -38081728 divided by 856?
-44488
2 divided by 71833
2/71833
Divide -37637638 by 191054.
-197
-5 divided by -2085478
5/2085478
Divide 9833 by 1067.
9833/1067
-904606303 divided by -37
24448819
-41101104 divided by 8
-5137638
Calculate -14241412 divided by 76.
-187387
What is 2328475980 divided by 5?
465695196
What is 311683 divided by 38?
311683/38
93 divided by -72147
-31/24049
What is -247055982 divided by 1?
-247055982
Calculate -542 divided by 94044.
-271/47022
What is -7 divided by 1008757?
-7/1008757
3 divided by 9605905
3/9605905
What is -58 divided by -595695?
58/595695
Divide 12359520 by -11444.
-1080
What is 165214220 divided by -5?
-33042844
What is 6945400 divided by -4235?
-1640
What is 162688692 divided by -6?
-27114782
Calculate 2064 divided by -1883.
-2064/1883
Calculate 250006192 divided by 9143.
27344
Calculate 79303356 divided by -3.
-26434452
Divide -9079920 by -252220.
36
149413217 divided by -121573
-1229
Divide 91290974 by -5.
-9129
|
{
"pile_set_name": "DM Mathematics"
}
|
*v - 55/24*v**4 + 5*v**2 + 3 + 0*v**3. Find the second derivative of p(t) wrt t.
-172
Let g(i) = 1165*i**3 + 7*i - 4. Let b be g(1). Let a be -1*(1 - -9)/(-2). Find the third derivative of -23*d**5 - 1174*d**2 - 20*d**a + b*d**2 wrt d.
-2580*d**2
Let p be -6 + (-18)/(-4) + 7/2. Let f be (p - 0) + 8 + -5. Differentiate 6 - 1 + f*z**2 - 11 with respect to z.
10*z
Suppose 0 = f + 5*t + 79, 2*f + f - t + 301 = 0. Let b be (-18)/f + (-42)/(-11). What is the derivative of -8*r**b + r**4 + 15 + 0*r**4 - 4*r**4 wrt r?
-44*r**3
Let n = -12 + 9. Let o(d) = -13*d + 6. Let y(r) = 1. Let h(t) = o(t) + y(t). Let f(a) = -1. Let c(u) = n*f(u) + h(u). What is the derivative of c(x) wrt x?
-13
Let f = 27 + -24. Suppose -3*t + t - f = -k, -4*k = -4*t - 24. Find the second derivative of k*y + 4 + 5 + 6*y**3 - 9 wrt y.
36*y
Let b(s) be the third derivative of 3*s**6/5 + s**5/6 + 9617*s**4/24 - 4*s**2 + 1. What is the second derivative of b(l) wrt l?
432*l + 20
Let l(a) = 2755*a**3 - 2*a**2 + 44*a + 10196. Let o(q) = -q**3 - q**2 + 22*q + 2. Let u(h) = l(h) - 2*o(h). Differentiate u(n) with respect to n.
8271*n**2
Let t(h) be the second derivative of h**6/30 + 3697*h**5/20 + 619*h**3/2 + 11*h - 21. Find the second derivative of t(c) wrt c.
12*c**2 + 22182*c
Let y(k) = 483*k**2 + 13*k + 30. Let n be y(-2). What is the third derivative of 42*q**5 - 956*q**2 - 929*q**2 + n*q**2 wrt q?
2520*q**2
Let m(q) be the third derivative of 659*q**8/336 + q**5/5 + 2*q**3 - 484*q**2. Find the third derivative of m(g) wrt g.
39540*g**2
Let b(v) be the second derivative of -v**7/6 + 59*v**6/6 - 9*v**4/4 + v**3/6 + 47*v**2/2 + 4283*v. What is the third derivative of b(f) wrt f?
-420*f**2 + 7080*f
Suppose -4*y + 1 + 23 = 0. Suppose 3*x - 14 = -2*o, 2*o - 2*x - y = -x. Find the second derivative of -35*v**5 - o*v - 2767*v**2 + 2767*v**2 wrt v.
-700*v**3
Let r(v) = -10*v - 26. Let a be r(-3). Let g be 165/25 - a/(-10). What is the second derivative of 35*z**2 + g - 3 - 22*z - 4 wrt z?
70
Let o(k) be the third derivative of -1192*k**5/15 + 64*k**3/3 - 20*k**2 + 71*k. Differentiate o(x) with respect to x.
-9536*x
Let h(y) be the first derivative of 3791*y**6/6 + 1721*y**3 + 5442. Find the third derivative of h(l) wrt l.
227460*l**2
Let y(s) = -s**4 - s**2 + s + 3. Let m(p) = -p**4 + 31*p**2 + 5*p - 1803. Let v(n) = m(n) - 5*y(n). Find the first derivative of v(j) wrt j.
16*j**3 + 72*j
Let v(o) = 24*o - 45. Let f be v(5). What is the second derivative of 29*j**4 - 105*j**4 + j**3 - f*j - j**3 wrt j?
-912*j**2
Suppose 3*y - 2*m = -y + 716, 2*m - 4 = 0. Differentiate 284 + 2*f**3 + y*f**2 - 109 - 59*f**2 wrt f.
6*f**2 + 242*f
Let l(t) be the second derivative of -627*t**5/20 + t**4/12 + 7*t**3/2 - 23*t**2 - 6835*t. Find the second derivative of l(j) wrt j.
-3762*j + 2
Suppose 3*y = 5*d + 1, 0 = -3*d - 0 + 3. What is the second derivative of -11*o**y + 7*o**2 - 26*o - 12*o**5 - 14*o + 2*o**2 wrt o?
-240*o**3 - 4
What is the third derivative of -194*f**5 - 187*f**5 + 381*f**5 + 1118*f**6 - 1428*f**2 wrt f?
134160*f**3
Let y = -37 + 39. Suppose -y*l = 4*m - 22, 8 + 8 = 4*m. What is the third derivative of -3*c**3 - c**3 + 4*c**l + 17*c**6 - 16*c**2 wrt c?
2040*c**3
Let v(y) be the second derivative of 1187*y**6/15 + y**5/20 - 1765*y**4/6 - 12*y + 36. What is the third derivative of v(n) wrt n?
56976*n + 6
Let v(x) = 529*x - 192. Let q(f) = -530*f + 201. Let h(z) = -7*q(z) - 6*v(z). What is the first derivative of h(g) wrt g?
536
Let o(i) be the second derivative of 9*i**5/10 - 7*i**4/3 - 2*i**3/3 - i**2 - 1709*i. Find the first derivative of o(x) wrt x.
54*x**2 - 56*x - 4
Let y = 49 - 47. Suppose -y = -m + c + 37, 2*m = c + 74. Find the second derivative of 3*w**3 - w**3 + 35 - 11*w - m wrt w.
12*w
Let a be 236/177*(2/4 + 1). Let t(d) = d**2 - 2*d + 2. Let v be t(a). Find the first derivative of -15*x**2 - 29*x + 34*x**v + 39 + 29*x wrt x.
38*x
Let j = 5 - 2. Suppose 18*q - 68 = 4. Let s(a) = -7*a**2 + 28*a. Let o(p) = 8*p**2 - 27*p. Let m(x) = j*s(x) + q*o(x). Find the second derivative of m(g) wrt g.
22
Let l(w) be the third derivative of 0*w + 0*w**3 - 26*w**2 - 11/60*w**6 - 1/30*w**5 + 0 + 37/24*w**4. What is the third derivative of l(r) wrt r?
-132
Let q(w) = 3347*w + 820. Let s(b) = 3346*b + 828. Let r(o) = 7*q(o) - 6*s(o). What is the first derivative of r(k) wrt k?
3353
Let r(d) = -13*d**3 - 71*d + 1939. Let j(a) = -3*a + 4. Let b(c) = 3*j(c) + r(c). Differentiate b(f) with respect to f.
-39*f**2 - 80
Let u(p) be the third derivative of -347*p**5/60 - 1067*p**3/6 + 51*p**2. What is the derivative of u(q) wrt q?
-694*q
Let w = 312 + -304. Find the third derivative of w*r + 4*r**3 - 4*r**3 - 12*r**2 + 0*r - 274*r**4 + 4*r wrt r.
-6576*r
What is the first derivative of -236 + 18618*w - 15179*w - 2339 wrt w?
3439
Let q(p) be the first derivative of 0*p**4 - 103/6*p**6 + 256 - 236/3*p**3 + 0*p + 0*p**5 + 0*p**2. Find the third derivative of q(u) wrt u.
-6180*u**2
Let r(b) = 9*b - 9. Let s be r(6). Suppose m = -4*m + s. What is the third derivative of 0*p**2 - m*p**2 + 22*p**2 - 4*p**2 + 4*p**3 wrt p?
24
Suppose -28 = -6*c + 8. Find the third derivative of 49*k**2 - 140*k**6 + k + 63*k**c + 71*k**6 wrt k.
-720*k**3
Let q(s) = -170*s**2 - 170. Let k = 29 + -32. Let h(u) = -57*u**2 - 57. Let i(c) = k*q(c) + 8*h(c). Find the first derivative of i(n) wrt n.
108*n
Suppose -3*n + 3*r = -6*n + 3, 5*n - 25 = 5*r. What is the third derivative of 0*w**2 - 12*w**3 + 14*w**3 - 11*w + 3*w**2 + 24*w**n + 4*w**2 wrt w?
156
Let g(p) = p**2 - 2*p - 2. Let x be g(-5). Suppose x = 4*s + 21. Differentiate 4 - 20*n**3 - 16*n**3 + 20*n**s wrt n.
-48*n**2
Let t(l) be the second derivative of -9*l**5/10 + l**3 + 11*l**2/2 + 4*l + 2. Let q(u) = u**3 + u - 1. Let z(s) = -6*q(s) + t(s). Differentiate z(g) wrt g.
-72*g**2
Suppose -2*w = 3*o - 113, w - 5*w + 4 = 0. Differentiate -2773*p - o + 2773*p - 61*p**3 wrt p.
-183*p**2
Let q(u) = -u**3 + 12*u**2 + 11*u. Let b be q(8). What is the third derivative of -t**2 + 10 - 54*t**3 + b*t**4 - 345*t**4 + 0*t**3 wrt t?
-24*t - 324
Differentiate -2488 - 4*g**2 + 1404 + 1710 + 230*g + 1270 wrt g.
-8*g + 230
Let z = -83 - -117. Suppose -5*d - 14 = -z. What is the derivative of -2 + 17*a**d - 5*a**4 + 0*a**3 + 0*a**3 wrt a?
48*a**3
Let v = 1311/302 + 24/151. Let m(z) be the first derivative of 0*z**3 - v*z**2 + 0*z + 12 + z**4. Find the second derivative of m(j) wrt j.
24*j
Let l(q) = q**3 - 10*q**2 + 10*q + 4. Let r be l(9). Find the third derivative of 1 - 6*x**6 + 35*x**6 + r*x**6 - 13*x**2 + 9*x**6 wrt x.
6120*x**3
What is the third derivative of 337*c**5 - 5*c**3 + 5*c**3 - 727*c**2 + 724*c**2 + 32*c wrt c?
20220*c**2
Let s(l) = -1758*l**2 - 14*l + 10447. Let k(h) = -586*h**2 - 5*h + 3482. Let z(f) = 17*k(f) - 6*s(f). Find the first derivative of z(g) wrt g.
1172*g - 1
Let m = 115229 + -46214. What is the third derivative of 68912*i**2 + 20*i**4 + 20*i**4 - m*i**2 - 2*i**5 wrt i?
-120*i**2 + 960*i
Let m = -533 - -538. What is the second derivative of 2*c**m + 53*c**5 + 165*c + 137*c + 182*c**5 wrt c?
4740*c**3
Let v be (40/(3 - -1))/(45/18). What is the third derivative of -1141*u**4 - 1145*u**v + 2360*u**4 + 196*u**2 wrt u?
1776*u
Let f be (19/3 + -8)/(2/(-6)). Suppose 5*y = -f*o + 2*o + 41, -3*y - 37 = -o. What is the first derivative of 16 + 22*z**4 + o - 16*z**4 wrt z?
24*z**3
Let q be 1752/(-219) + 1*11. Let x(m) be the second derivative of 0 - 7/10*m**5 - 3*m + 0*m**2 + 0*m**4 - 3*m**q. What is the second derivative of x(b) wrt b?
-84*b
Let b(a) be the third derivative of 0*a + 0*a**3 - 1/120*a**6 - 16/15*a**5 + 45*a**2 - 21/8*a**4 + 0. Find the second derivative of b(y) wrt y.
-6*y - 128
Suppose -3*r + 36 = -75. Let i = 39 - r. Differentiate 48 - 32 + 6*h**2 + 4*h**i wrt h.
20*h
Let o = 96 + -77. Find the third derivative of 16*y**2 - 6*y**2 + o*y**2 - 1 + 10*y**2 + 45*y**6 wrt y.
5400*y**3
Suppose -13*k - 14 = -15*k. Let b(l) = -l**2 + 8*l - 5. Let v be b(k). Find the third derivative of -16*g**2 - 11*g**v + 5*g + 31*g**5 - 5*g wrt g.
1860*g**2
Let v be 1/((-7 - -4)/6) + 5. Suppose 2*p - 6*p + 5*g = -11, 3*p + v*g = 15. What is the second derivative of -j**p + 26*j + 0*j**4 - 2*j**4 - 9*j**4 wrt j?
-144*j**2
Let k(f) = 11*f**4 - 119*f**3 + 1516*f**2 - 6*f - 6. Le
|
{
"pile_set_name": "DM Mathematics"
}
|
i = -3600 - -3496. Which is bigger: -74 or i?
-74
Suppose p - 4*y - 5 = 0, 4 = y + y. Suppose -p*i + 7*i = -12. Let b be (4/(-4 + i))/(4/58). Which is greater: -31 or b?
b
Let o = -3 - -3. Let w = -1466/29 + 546847/10817. Is o at least w?
False
Suppose -26 = 16*y - 74. Suppose 0 = y*c - 42 + 45. Which is smaller: 6/23 or c?
c
Let y(f) = -5*f + 13. Let c be y(-26). Let g = -2275 - -2274.9. Is c at least g?
True
Suppose 5*w = 5*m + 15, -3*m - 9*w + 13*w - 11 = 0. Let j(i) = i**2 - 1. Let q be j(m). Which is smaller: q or -1/3?
-1/3
Let d = 12512 + -20236. Is d != -7724?
False
Let u = -0.056542 + 5.056542. Let o = 0.112 + -51.112. Are u and o unequal?
True
Let k be (7/(56/472) - -3) + -4. Which is smaller: k or -2?
-2
Let i be (-3 - (-19)/7)*-7. Suppose -w + 5 = -g, i*g - 4*w = 6*g + 28. Does -11/2 = g?
False
Let p be -1 + (-5)/(-7 - -2). Suppose p = 3*c - 12. Suppose c*a - 2*t = -102, -2*a + a - 4*t = 12. Does a = -23?
False
Let t = -176 - -413. Let o = t + -230. Are 70/9 and o equal?
False
Suppose 7367*j - 7366*j = 3*n + 336, 0 = -2*j + 2*n + 684. Which is greater: j or -12?
j
Let v be (5/((-45)/(-38)))/(406/42 - 9). Let c = -14 - -20. Is v less than or equal to c?
False
Suppose 2*h = 3*x + 2, 7*x - 4*x + 3*h - 18 = 0. Suppose 2*d + 4*u = -0*d + 586, 2*u = x. Which is smaller: 290 or d?
290
Let p(a) = a**2 + 6*a. Let q = 46 + -55. Let m be p(q). Suppose 5*d = 2*s + m, 2*d - 38 = 3*s - 14. Which is bigger: s or -4?
-4
Let l = 828/7 + -118. Let c = 0.026 + -7.626. Let f = -6.4 + c. Which is smaller: l or f?
f
Let x = -0.28426 + 0.02256. Let a = x + -0.0083. Let j = -13/21 - -2/7. Which is smaller: j or a?
j
Let w(l) = 19*l**2 + 152*l - 6. Let g be w(-8). Let j = 53 - 63. Is j > g?
False
Let g = -10/6051 + -2583737/24204. Which is smaller: -108 or g?
-108
Suppose c = -5*r - 335, 2*r + 9 + 1 = 0. Let j = 309 + c. Which is smaller: -1/147 or j?
j
Let t(g) = 9*g + 173. Suppose 2*l = 9*x - 10*x - 62, -3*l = -5*x + 67. Let w be t(l). Is w at most -612/7?
True
Let p be (-170)/27*1 + -5 + 6 + 3. Which is smaller: p or -2?
p
Let d = -4832365773244/11827959 - -32275801/79. Let a = 14/1047 + d. Are a and -1 equal?
False
Let g be 1153126/(-2600) + 2/4. Let x = g - -443. Which is smaller: 1 or x?
x
Let g be ((-1)/(-1))/(16/112) - (76 - 18). Are g and -448/9 non-equal?
True
Let y = 377/3 + -101. Let s be (-2)/(-2) + (3 - 16 - -17). Suppose 0 = s*z + 9*z - 350. Are z and y unequal?
True
Let c = 316.6 + 78.4. Let t = c + -355. Is t at least as big as -0.3?
True
Let s = 335.709 + -336. Let h = s - -0.091. Which is smaller: -27 or h?
-27
Suppose 0 = 3*x - 322*q + 326*q + 3765, 6223 = -5*x + 2*q. Which is smaller: -1245 or x?
x
Let j be 29567/3285 - (-18)/(-2). Let v = j - -239797/13140. Are v and 0 equal?
False
Let l = -5.994 - 1.376. Let o = l - -7.47. Which is smaller: 150 or o?
o
Suppose 2*b = -d - 425, -b + 169*d - 174*d - 190 = 0. Which is greater: b or -1?
-1
Let u(g) = g**3 - 24*g**2 - 182*g + 61. Let d be u(30). Which is smaller: d or -2/1593?
-2/1593
Suppose 0 = 4*c + 2*c - 102. Let u be (2/(-4))/(((-102)/180)/c). Let k = 6 - u. Which is greater: -10 or k?
k
Suppose 0 = 10*o - 8 - 2. Let d be ((-214)/18)/((-186)/9 - o). Let m = -2/39 - d. Which is smaller: m or -2?
-2
Suppose 7*w = 12*w + 10. Let x be w/5 + (-392)/70. Let d be (-3)/(x/32*2). Is 9 smaller than d?
False
Let i(m) = 96*m. Let f be i(0). Which is smaller: f or -3/2206?
-3/2206
Let k = 2700 - 2697. Is k bigger than -187?
True
Let b = -8242 + 8243. Let o(y) = -y**2 - y. Let c be o(1). Let i be c/4*(-4)/(-118). Which is smaller: b or i?
i
Let h = -0.5 - -0.1. Let q = -0.0884 - -0.3884. Let p = q + h. Which is smaller: p or -1.6?
-1.6
Let s be 2/(16/3) - (-279133)/(-376). Let x be (-2)/16 - (s/688 + 1). Are 1 and x nonequal?
True
Let m be ((-20)/(-7))/(54/567). Suppose 0 = 3*k + 2*v + 37 - 4, -m = 2*k + 4*v. Let o(d) = -2*d**2 - 21*d - 26. Let l be o(k). Is 11.7 != l?
True
Let c = -0.36 + 0.38. Let j = 0.426 - 0.83. Let y = -0.004 - j. Is y at least c?
True
Suppose 13756 = 5*a - 2*g, 0*a + g - 11010 = -4*a. Is 2752 <= a?
True
Let i(o) = o**2 - 13*o + 41. Let p be i(5). Suppose -4*j - j + 885 = 0. Let c = j - 879/5. Is p at least c?
False
Let y(q) = -2*q**2 + 115*q - 1163. Let m be y(44). Is m smaller than 314/13?
False
Let z = -0.0276 + -0.4304. Let u = z - 0.842. Which is greater: 0.09 or u?
0.09
Let b be ((-77)/(-22))/7*(-1 + 3). Let q be -4 + 354 - (0 + b)*-1. Which is smaller: 350 or q?
350
Let y be 56*((-36)/(-9) + -5). Is -72 at least y?
False
Let c = 508.4296 + -0.7296. Let s = c - 508. Is 3 <= s?
False
Suppose -9 = -r + 2*r. Let d = -14649938517/73882 + 10508778/53. Let l = 1/697 + d. Is l at most as big as r?
True
Suppose 13*f = 11*f + 8. Suppose 0 = f*l - 16 - 4. Suppose 3*j = -l - 16. Is -7 equal to j?
True
Let k = 0.87 - 1.16. Let d = -0.3 - k. Let x be (-6 + 2 - 0)/(-1). Which is smaller: x or d?
d
Suppose 0 = 2*f + l + 20, -f - 4*l - 28 = l. Let i(p) = -p**3 - 5*p**2 + 3*p + 6. Let x be i(-6). Let g = x - 32. Is f at most as big as g?
True
Let s be ((-258)/117 - -2)/((-142)/(-169974)). Is s greater than or equal to -246?
True
Suppose -3*m + 8*m = p + 54, -4*m = -3*p - 118. Let d be 10 + -11 - 38/p. Suppose 27*x = 21*x + 14*x. Are x and d non-equal?
True
Suppose 3*q + 29 = -10. Let y be ((-6)/4)/(1/2) - -5. Let n(p) = -p**3 - 2*p**2 + 3*p - 4. Let k be n(y). Is k >= q?
False
Suppose 200*p + 3 = 203*p. Let a be p/(-3) + (-11)/3. Let x = -7/2 - a. Which is smaller: 0.4 or x?
0.4
Suppose 2*m + 3*m - 1380 = 0. Let w = -70822 + 71097. Which is greater: m or w?
m
Let k = 34 - -6. Let m be 26*((-148)/k + 4). Which is smaller: m or 7?
7
Let m be ((-4)/6)/(8/60). Let j = 16.049 + -16.329. Which is smaller: m or j?
m
Suppose 0 = -2*b + 3*b - 3*u - 10, -4 = -3*b - 4*u. Suppose b*a + 3 - 11 = 0. Suppose -16 + 6 = -a*n. Is n >= 3?
True
Let y = 21249129/82607198 + 1/265618. Are 1 and y non-equal?
True
Let g = -34.65 - -34.83. Which is greater: -23 or g?
g
Let r be ((264/(-84))/11)/((-22)/77). Let z be (6/(-29))/(2/(-4)). Are r and z non-equal?
True
Suppose 7*k + 10 + 2 = 3*k - 2*b, 0 = -2*b. Is 102.4 less than k?
False
Suppose 112 = 4*t - 2*z - 2*z, -3*z + 15 = 0. Suppose 62 + t = g. Is g at most 95?
True
Let b be 4 + (-5)/(15/36). Let l(m) = -m - 11. Let a be l(b). Let i be a + (-11)/((-33)/(-36)). Are i and -16 non-equal?
True
Let a = -0.9 + -0.1. Let d = 804/47 - 365914/21385. Which is bigger: d or a?
d
Let o = 563 - 3915/7. Is o smaller than -23?
False
Let a(x) = -x**3 - 6*x**2 + x + 10. Let m be a(-6). Suppose 68 = m*p + 52. Suppose 2*n - 36 = 2*b, -p*n + 8 = -6*n. Which is greater: b or -23?
b
Let d = 123 - 46. Let x = 75 - d. Let t be (x - 4/(-2))*1. Which is bigger: t or 2/21?
2/21
Let c be 303494/(-602) + (-6)/7. Which is smaller: c or -1009/2?
c
Let f = 43 - 38. Suppose -17*m = -14*m + f*w + 8, 0 = w + 1. Which is smaller: -34/29 or m?
-34/29
Let n = -293015 - -3220927/11. Which is smaller: n or -204?
-204
Let u be -2210 - (0 + (6 - 18)). Is u >= -2198?
True
Let m = 0 + -0.1. Let j = 176/3457 - -4852/176307. Is j bigger than m?
True
Let j = 685 + -681. Suppose -j*f + 6*f + 2*v + 258 = 0, 3*f + 363 = 3*v. Which is smaller: 2 or f?
f
Suppose 4*y = -2*l + 10, 14 = 7*y - 2*y + 2*l. Let f = 16 + -5. Suppose -5 = y*t + f. Which is bigger: t or -8/3?
-8/3
Let d(p) = -8*p + 46. Let m be d(6). Let w be ((0 - m) + -119)*(-12)/9. Let g = w + -142. Which is bigger: 15 or g?
15
Let w = 166.75 - 3.75. Let m = w + -109. Let i = -63 + m. Which is bigger: -4 or i?
-4
Let w(a) = 41*a**3 - a**2 + 34*a - 21. Let j be w(4). Which is smaller: j or 2720?
2720
Let b be (-8 - -8) + (-3)/(-7)*(-1)/11. Does 0 = b?
False
Let j(q) = q**3 + 11*q**2 - 13*q. Let w be j(0). Is 110/179 greater than or equal to w?
True
Let a(c) = c**2 - 16*c + 51. Let o be a(13). Suppose 0 = 4*p - 5*p - o*p. Is 1/15 != p?
True
Suppose -3*o - 2*q = -24, o - 68 = -4*q - 70. Which is smaller: o or 451?
o
Let m(i) = 20*i - 99. Let f be ((-26)/8 - -2)/(2/(-8)). Let p be m(f). Is -3/10 at least p?
False
Let b = 243.52 + -247.72. Which is smaller: b or 126?
b
Let u be ((-15)/(-9))/(1/12). Suppose 0*w - 132 = -4*w + g, u = 5*g. Which is bigger: 32 or w?
w
Let g = -0.1241 - 2630.8759. Is g at least -1?
False
Let i = 219.275 - 0.275. Let p = i
|
{
"pile_set_name": "DM Mathematics"
}
|
1
List the prime factors of 580190.
2, 5, 13, 4463
List the prime factors of 70896.
2, 3, 7, 211
What are the prime factors of 6643099?
1091, 6089
What are the prime factors of 9240409?
9240409
List the prime factors of 20460884.
2, 1213, 4217
What are the prime factors of 19448322?
2, 3, 3241387
What are the prime factors of 103849?
29, 3581
What are the prime factors of 656031?
3, 218677
What are the prime factors of 173249?
173249
What are the prime factors of 1228745?
5, 7, 35107
What are the prime factors of 3495079?
7, 223, 2239
List the prime factors of 252539.
7, 43, 839
List the prime factors of 7053520.
2, 5, 88169
What are the prime factors of 20870816?
2, 19, 34327
What are the prime factors of 380153?
31, 12263
What are the prime factors of 630541?
53, 11897
What are the prime factors of 110035?
5, 59, 373
List the prime factors of 1552243.
7, 11, 19, 1061
List the prime factors of 851.
23, 37
List the prime factors of 408441.
3, 11, 12377
List the prime factors of 4770336.
2, 3, 17, 37, 79
List the prime factors of 231636.
2, 3, 97, 199
What are the prime factors of 860790?
2, 3, 5, 7, 4099
What are the prime factors of 169226?
2, 191, 443
What are the prime factors of 972681?
3, 89, 3643
List the prime factors of 185461.
191, 971
List the prime factors of 6854411.
29, 71, 3329
List the prime factors of 24946870.
2, 5, 13, 191899
What are the prime factors of 131825?
5, 5273
List the prime factors of 23115513.
3, 41, 187931
List the prime factors of 188929.
13, 14533
List the prime factors of 3612078.
2, 3, 200671
What are the prime factors of 2865320?
2, 5, 71633
List the prime factors of 349087.
19, 967
List the prime factors of 1322139.
3, 7, 13, 29, 167
What are the prime factors of 921742?
2, 460871
What are the prime factors of 361269?
3, 137, 293
What are the prime factors of 8999020?
2, 5, 449951
What are the prime factors of 173552?
2, 10847
What are the prime factors of 5150733?
3, 7, 37, 947
List the prime factors of 2838.
2, 3, 11, 43
List the prime factors of 394859.
17, 23227
What are the prime factors of 4000004?
2, 101, 9901
What are the prime factors of 1061461?
61, 17401
What are the prime factors of 160732?
2, 11, 13, 281
What are the prime factors of 531424?
2, 16607
List the prime factors of 5719166.
2, 461, 6203
What are the prime factors of 352647?
3, 37, 353
List the prime factors of 225009.
3, 23, 1087
List the prime factors of 1016655.
3, 5, 67777
What are the prime factors of 788368?
2, 7, 7039
What are the prime factors of 11728?
2, 733
What are the prime factors of 1222347?
3, 7, 58207
List the prime factors of 1551221.
7, 221603
What are the prime factors of 4097211?
3, 199, 6863
List the prime factors of 8243582.
2, 31, 132961
List the prime factors of 287470.
2, 5, 17, 19, 89
What are the prime factors of 454315?
5, 90863
List the prime factors of 18278601.
3, 11, 553897
What are the prime factors of 973682?
2, 23, 61, 347
What are the prime factors of 18487213?
18487213
What are the prime factors of 17890372?
2, 4472593
List the prime factors of 6902047.
23, 300089
What are the prime factors of 77322?
2, 3, 7, 263
List the prime factors of 3044816.
2, 190301
What are the prime factors of 535511?
535511
What are the prime factors of 855348?
2, 3, 13, 5483
What are the prime factors of 757943?
757943
List the prime factors of 4467721.
283, 15787
List the prime factors of 17440673.
313, 55721
List the prime factors of 756033.
3, 23, 10957
What are the prime factors of 199767?
3, 17, 3917
List the prime factors of 108848.
2, 6803
List the prime factors of 91457.
91457
List the prime factors of 9351371.
1787, 5233
What are the prime factors of 125767?
31, 4057
What are the prime factors of 3605923?
3605923
List the prime factors of 742549.
742549
What are the prime factors of 1236270?
2, 3, 5, 7, 29
List the prime factors of 643940.
2, 5, 11, 2927
List the prime factors of 4036503.
3, 131, 10271
List the prime factors of 368833.
368833
List the prime factors of 8313661.
8313661
List the prime factors of 3758057.
127, 233
List the prime factors of 1885633.
1885633
What are the prime factors of 23415810?
2, 3, 5, 11, 70957
List the prime factors of 421978.
2, 101, 2089
List the prime factors of 10895283.
3, 7, 17, 3391
What are the prime factors of 5914421?
5914421
List the prime factors of 456591.
3, 152197
List the prime factors of 2909871.
3, 107773
What are the prime factors of 515176?
2, 71, 907
List the prime factors of 17972921.
233, 77137
List the prime factors of 3997482.
2, 3, 17, 39191
List the prime factors of 185859.
3, 107, 193
What are the prime factors of 288467?
288467
What are the prime factors of 1665034?
2, 7, 118931
List the prime factors of 78733.
43, 1831
What are the prime factors of 1025074?
2, 512537
List the prime factors of 4616650.
2, 5, 92333
List the prime factors of 99162.
2, 3, 7, 787
What are the prime factors of 2771201?
23, 71, 1697
What are the prime factors of 160546?
2, 80273
What are the prime factors of 4572655?
5, 31, 29501
List the prime factors of 8353416.
2, 3, 23, 37, 409
List the prime factors of 189340.
2, 5, 9467
List the prime factors of 42790.
2, 5, 11, 389
What are the prime factors of 3843851?
11, 223, 1567
What are the prime factors of 760435?
5, 13, 11699
List the prime factors of 865575.
3, 5, 3847
What are the prime factors of 534527?
7, 19, 4019
What are the prime factors of 2661378?
2, 3, 443563
List the prime factors of 282009.
3, 7, 13, 1033
List the prime factors of 582954.
2, 3, 97159
What are the prime factors of 282719?
269, 1051
What are the prime factors of 553315?
5, 7, 15809
List the prime factors of 2041855.
5, 43, 9497
What are the prime factors of 1800570?
2, 3, 5, 47, 1277
List the prime factors of 37334683.
2917, 12799
What are the prime factors of 171514?
2, 7, 12251
List the prime factors of 534958.
2, 267479
What are the prime factors of 3103774?
2, 1551887
List the prime factors of 26013762.
2, 3, 41, 101, 349
List the prime factors of 33451510.
2, 5, 569, 5879
What are the prime factors of 12040?
2, 5, 7, 43
List the prime factors of 472744.
2, 59093
List the prime factors of 2132940.
2, 3, 5, 19, 1871
What are the prime factors of 158005?
5, 31601
List the prime factors of 331815.
3, 5, 11, 2011
List the prime factors of 14379918.
2, 3, 7, 342379
List the prime factors of 191502.
2, 3, 10639
List the prime factors of 2671913.
19, 140627
What are the prime factors of 11874750?
2, 3, 5, 71, 223
What are the prime factors of 288072?
2, 3, 4001
What are the prime factors of 73325?
5, 7, 419
List the prime factors of 453472.
2, 37, 383
What are the prime factors of 1165956?
2, 3, 11, 73
What are the prime factors of 80850?
2, 3, 5, 7, 11
What are the prime factors of 5419476?
2, 3, 47, 3203
What are the prime factors of 39518259?
3, 11, 59, 20297
List the prime factors of 1182787.
1182787
What are the prime factors of 516784?
2, 32299
List the prime factors of 2487252.
2, 3, 19, 10909
What are the prime factors of 326687?
326687
What are the prime factors of 1240980?
2, 3, 5, 13, 37, 43
List the prime factors of 7235129.
11, 67, 9817
What are the prime factors of 5143492?
2, 47, 109, 251
What are the prime factors of 6985867?
7, 41, 101, 241
List the prime factors of 374898.
2, 3, 62483
List the prime factors of 1263218.
2, 11, 67, 857
List the prime factors of 2317286.
2, 1158643
What are the prime factors of 929561?
929561
List the prime factors of 604037.
7, 86291
List the prime factors of 6524788.
2, 383, 4259
What are the prime factors of 98623?
7, 73, 193
List the prime factors of 212901.
3, 13, 53, 103
List the prime factors of 3392610.
2, 3, 5, 13, 8699
What are the prime factors of 830188?
2, 207547
What are the prime factors of 1136269?
23, 127, 389
What are the prime factors of 94925?
5, 3797
What are the prime factors of 8132493?
3, 2710831
What are the prime factors of 6332536?
2, 7, 113081
What are the prime factors of 3200053?
79, 40507
What are the prime factors of 279689?
279689
List the prime factors of 9504616.
2, 11, 108007
List the prime factors of 4056675.
3, 5, 7, 7727
List the prime factors of 4120579.
17, 37, 6551
What are the prime factors of 22976244?
2, 3, 19, 11197
What are the prime factors of 44
|
{
"pile_set_name": "DM Mathematics"
}
|
et w(q) = q**2 + 4*q + 4. Let z be w(k). Let u(n) = -1 + n**2 + z. Let c(a) = 2*a. Calculate c(u(t)).
2*t**2
Let k(j) = -6*j. Let m(y) = -330*y. What is m(k(i))?
1980*i
Let d(y) = y. Let z(l) = -103*l + 55*l - 28*l**2 + 48*l. What is z(d(c))?
-28*c**2
Let w(v) = v. Let x be 19/3 - 5/15. Let m(g) = -7*g. Let n(s) = x*m(s) + 39*w(s). Let r(a) be the second derivative of -a**3/3 + a. Give n(r(z)).
6*z
Let g(m) = 149 + 2*m - 149. Let w(k) = -7*k**2. Calculate g(w(h)).
-14*h**2
Let l(n) = -5*n**2 + 2*n**2 + 7*n**2 - 3*n**2. Let d(r) be the first derivative of -1 + 0*r - 1/2*r**2. Calculate l(d(h)).
h**2
Let p(q) = -2*q**2 - 13. Let j(z) = -z. Calculate j(p(c)).
2*c**2 + 13
Let n(m) = -3*m. Let j(r) = 2*r - 5. Let u(l) = l - 3. Let s = 5 + 0. Let o(a) = s*u(a) - 3*j(a). Give n(o(h)).
3*h
Let f(a) = 65*a**2 + 45*a - 45. Let l(n) = 3*n**2 + 2*n - 2. Let j(q) = -2*f(q) + 45*l(q). Let d(o) = o. Calculate j(d(x)).
5*x**2
Let f(t) = t**2 + 3. Let i(d) = 1. Let l(b) = 4*f(b) - 12*i(b). Let u(m) = -12*m**2 - m**2 + 14*m**2. Calculate l(u(q)).
4*q**4
Let z(g) = -7*g. Let p(j) = -323*j**2. What is z(p(k))?
2261*k**2
Let m(z) = -2*z**2 + 8*z + 8. Let o(t) = t**2 - 5*t - 5. Let h(p) = 5*m(p) + 8*o(p). Let c(f) = 2*f**2. Give c(h(d)).
8*d**4
Let l(c) = 25*c**2 - 4. Let b(j) = 150*j**2 - 25. Let h(f) = 4*b(f) - 25*l(f). Let q(w) = w**2. What is q(h(i))?
625*i**4
Let m(s) = -4*s. Let h(f) = 3*f**2 - 5*f + 5. Let i(c) = 4*c**2 - 8*c + 8. Let p(b) = 8*h(b) - 5*i(b). Calculate p(m(k)).
64*k**2
Let l(p) be the second derivative of -p**4/4 + 5*p**2/2 - 4*p. Let q(w) be the first derivative of l(w). Let h(d) = d**2. Calculate q(h(f)).
-6*f**2
Let y(t) = 12*t. Let w = -2 + 5. Let c(k) = w*k - 2*k - 2*k. Calculate c(y(u)).
-12*u
Let t(i) be the first derivative of -i**4/12 + 5*i**2/2 - 2. Let d(a) be the second derivative of t(a). Let f(x) = 0*x + x**2 + 0*x. What is d(f(g))?
-2*g**2
Let o(k) = -4*k. Let p(r) = r - 5 + 5 + 0. Give o(p(x)).
-4*x
Let t(u) be the second derivative of u + 0 - 1/2*u**3 + 0*u**2. Let f(w) = -32*w - 4 + 4 + 31*w. Determine t(f(o)).
3*o
Suppose 9*p - 5*p - 36 = 0. Let q(m) = -2*m**2 + p - 7 - 2. Let k(o) = -o**2 + o. Let i(v) = -6*v**2 + 2*v. Let y(a) = i(a) - 2*k(a). What is q(y(z))?
-32*z**4
Let g(z) = 5*z + z - 2*z. Let o(l) be the second derivative of 3*l + 0 + 0*l**2 + 1/6*l**4 + 0*l**3. Calculate g(o(b)).
8*b**2
Let q(s) = 2*s. Let j(l) = 8442*l**2. What is q(j(n))?
16884*n**2
Let t(l) = -l + 8. Let q(z) = -z + 6. Let j(s) = 4*q(s) - 3*t(s). Let g(b) = -53*b. Calculate j(g(a)).
53*a
Let j(k) = -k**2. Let n(a) = 49*a**2 - a + 20. Determine n(j(y)).
49*y**4 + y**2 + 20
Let t(s) = -2*s. Let x be -3*4/(-12) + 1. Let m(c) = x*c + 0*c - 5*c. What is m(t(n))?
6*n
Let f(v) = 3*v - v + v - v + 4. Let u be 4 + -2 + 4 + -2. Let p(q) = q + 3. Let k(o) = u*p(o) - 3*f(o). Let j(r) = -2*r. Determine j(k(c)).
4*c
Let l(c) = -7*c**2 - 3*c + 3. Let h(g) = g**2 + g - 1. Let t(m) = -6*h(m) - 2*l(m). Let d(u) = 3*u**2. Calculate d(t(i)).
192*i**4
Let q(i) be the third derivative of i**4/24 - 6*i**2. Let a(u) = 6*u**2. Calculate a(q(n)).
6*n**2
Let s(h) = -4*h. Let j(y) be the first derivative of 0*y**3 + 1/30*y**5 + 2 + 0*y**4 + 0*y + y**2. Let p(k) be the second derivative of j(k). Determine s(p(v)).
-8*v**2
Let z(f) = -f**2 - 6*f + 2. Let d be z(-6). Suppose 5*g + 0*c - 40 = 3*c, -2*c = 10. Let x(t) = g*t**d - 2*t**2 + 0*t**2. Let s(o) = -o. Determine x(s(v)).
3*v**2
Let q(g) be the first derivative of -11*g**2/2 + 45. Let o(h) = -2*h. What is q(o(i))?
22*i
Let f(x) = 235*x**2. Let k(j) = j**2. Determine f(k(y)).
235*y**4
Let i(a) = 277*a. Let j(l) = 21*l. What is j(i(z))?
5817*z
Let u(r) be the third derivative of r**2 - 2/15*r**5 + 0*r + 0*r**3 + 0*r**4 + 0. Let k(y) = -y**2. Determine u(k(d)).
-8*d**4
Let w(a) = 3*a**2 - 2*a + 2. Let m(p) = 16*p**2 - 11*p + 11. Let n(u) = -4*m(u) + 22*w(u). Let y(j) = -4*j**2. What is y(n(z))?
-16*z**4
Let l(d) = -5*d**2. Let u(g) = 20*g. Determine u(l(b)).
-100*b**2
Let m(p) = p + 1. Let r = 7 + 5. Let w(i) = -9*i - 12. Let q(u) = r*m(u) + w(u). Let t(o) be the first derivative of o**3/3 + 1. Determine q(t(k)).
3*k**2
Let c(n) = 6*n**2. Let z(b) = -57*b - 1. Give z(c(p)).
-342*p**2 - 1
Let p(l) = 4*l. Let g(d) = 5*d. Let c(m) = -5*g(m) + 6*p(m). Let u(z) be the third derivative of z**5/15 + z**2 - 9. Give u(c(k)).
4*k**2
Let m(c) = 2*c. Let g(o) = -18*o**2. Let w(p) = -p**2. Let i(j) = 3*g(j) - 45*w(j). What is i(m(u))?
-36*u**2
Let g(a) = 288*a - 288*a + 2*a**2. Let c(w) = -4 + 4 + 6*w. Calculate c(g(x)).
12*x**2
Let m(t) = t**2. Let n(d) be the second derivative of 17*d**3/6 - 2*d. What is n(m(f))?
17*f**2
Let v(u) = -39*u**2. Let h(x) = 4*x**2. Give h(v(d)).
6084*d**4
Let t(d) = 2*d. Let v(y) = 4*y - 3. Let u be 2 - (-2 + 1/1). Let i(r) = r - 1. Let p(h) = u*i(h) - v(h). Give p(t(s)).
-2*s
Let s(h) = -h + 7. Let p be s(7). Suppose -16 = -2*q - 2*c, p = -3*q + 4*c - 0*c + 3. Let w(a) = -a + 5*a + q*a - 4*a. Let y(i) = 2*i. What is y(w(t))?
10*t
Let j(u) = u**2. Let p(o) = 6790*o**2. Determine j(p(k)).
46104100*k**4
Let z(l) = l. Let n be 46/8 - (-3)/(-4). Let g = 5 - n. Let r(i) = g*i**2 + 4*i**2 - 2*i**2. Determine z(r(c)).
2*c**2
Let w(y) = -4*y. Let q = 4 - 2. Let a(p) be the third derivative of -1/60*p**5 + 0*p**4 + 0*p + 0 + 0*p**3 + 2*p**q. Give a(w(l)).
-16*l**2
Let d(n) = n. Let f(c) = 159*c**2. Give f(d(k)).
159*k**2
Let d(w) = -29*w**2. Let n(f) be the second derivative of f**3/3 + 2*f. Calculate n(d(p)).
-58*p**2
Let p(a) be the second derivative of 2*a**3/3 + 9*a. Let i(u) = -u. Determine i(p(r)).
-4*r
Suppose 5*l + 0*l - 10 = 0. Let h(k) = 0*k**l - k**2 - 2*k**2 + k**2. Let o(f) = 3*f. Give h(o(r)).
-18*r**2
Let t(a) = 14*a**2 - 8. Let j(p) = -5*p**2 + 3. Let i(h) = 8*j(h) + 3*t(h). Let u(z) = 2*z**2. What is u(i(n))?
8*n**4
Let m(s) = 1495*s**2. Let i(r) = -r. Give m(i(j)).
1495*j**2
Let f(r) = 2*r + r + 7*r - 6*r. Let c(v) = 2*v**2. What is c(f(h))?
32*h**2
Let o(m) = -m + 1. Suppose -2*r = 3*r - 5. Let q(y) = -6*y + 3. Let d be 13/(-5) - 4/10. Let n(b) = d*o(b) + r*q(b). Let g(x) = -x. Determine n(g(w)).
3*w
Let o(i) be the first derivative of -10*i**3/3 - 2. Let t(h) = h**2. Give o(t(a)).
-10*a**4
Let r be (30/25)/(6/20). Let h(j) = 5*j**2 - 3*j**2 - r*j**2. Let d(u) = u**2 + u - u. Calculate d(h(c)).
4*c**4
Let i(q) be the third derivative of 0*q**3 + 0 + 0*q - 1/24*q**4 - 2*q**2. Let n(b) = b**2. Determine i(n(y)).
-y**2
Let z(y) = 3*y + 11. Let u(m) = -m**2. Give z(u(i)).
-3*i**2 + 11
Let u(x) = x**2 + 3*x. Let a(p) = p. Let o(f) = -3*a(f) + u(f). Let z(h) be the third derivative of -7*h**4/24 + 9*h**2. Calculate o(z(d)).
49*d**2
Let g(h) be the second derivative of h**3/2 + 6*h. Let x(p) = -p**2. Calculate x(g(j)).
-9*j**2
Let d(z) = 2*z**2 + 2*z - 2. Let n(k) = -16*k**2 - 17*k + 17. Let c(t) = 51*d(t) + 6*n(t). Let i(g) be the first derivative of -g**2 + 1. Determine c(i(p)).
24*p**2
Let m(z) = -2*z. Let k(q) = 11564*q. Give m(k(d)).
-23128*d
Let j(q) be the third derivative of -q**4/6 - 10*q**2. Let t(o) be the first derivative of -o**3/3 + 1. What is j(t(d))?
4*d**2
Let a(j) = 3*j - 5. Let n(d) = -2*d + 4. Let k(z) = -4*a(z) - 5*n(z). Let c(g) = -g - 5*g + 8*g. Determine c(k(r)).
-4*r
Let n(g) = -5*g. Let u(i) = 4*i**2. Let o(x) = -4*x**2. Let v(j) = -5*o(j) - 4*u(j). What is n(v(p))?
-20*p**2
Let h(a) = -2317*a**2. Let p(s) = -2*s. What is h(p(m))?
-9268*m**2
Let n(d) = 6*d**2 - 38. Let y(h) = h**2. What is n(y(a))?
6*a**4 - 38
Let n(g) = 3*g**2. Let w(z) = -z. Calculate n(w(b)).
3*b**2
Let i(g) = -3*g**2 + 2*g**2 + 0*g**2. Let w(n) = 3*n - 19. Let a be w(13). Let q(u) = -26*u**2 + 49*u**2 - a*u**2. Give q(i(r)).
3*r**4
Let n(d) = d**2 + 9*d. Let v(z) = 22*z - 2. Calculate n(v(j)).
484*j**2 + 110*j - 14
Let u(r) = -10*r - r**2 + 10*r. Let y(h) be the second derivative of 5*h**3/3 + 7*h**2 + h. Let k(o) = 2*o + 3. Let x(b) = 14*k(b) - 3*y(b). Give x(u(d)).
2*d**2
Let n(b) = -b**2 - 19. Let o(l) = 4*l. What is o(n(s))?
-4*s**2 - 76
Let w(x) = x**2. Let l be (-2)/((-21)/12 + 2). Let m(v) = -3*v**2. Let g(j) = l*w(j) - 3*m(j). Let q(h) = -15*h**2. Give g(q(s)).
225*s**4
Let v(o) be the third derivative of o**5/30 + 2*o**2. Let m(c) = 3*c**2 - 4*c + 3*c + c. Give v(m(x)).
18*x**4
Let a(b) be the
|
{
"pile_set_name": "DM Mathematics"
}
|
f 32, 63, 94?
31*a + 1
What is the n'th term of 37, 68, 101, 136, 173?
n**2 + 28*n + 8
What is the p'th term of -115, -224, -339, -460, -587?
-3*p**2 - 100*p - 12
What is the p'th term of -3, 5, 13, 21, 29?
8*p - 11
What is the r'th term of -133, -134, -135?
-r - 132
What is the k'th term of 7, 21, 45, 79, 123?
5*k**2 - k + 3
What is the s'th term of -241, -238, -233, -226, -217, -206, -193?
s**2 - 242
What is the b'th term of 116, 114, 112, 110, 108?
-2*b + 118
What is the g'th term of 172, 344, 516, 688?
172*g
What is the y'th term of -33, -23, 1, 45, 115, 217, 357, 541?
y**3 + y**2 - 35
What is the r'th term of 3, -12, -27, -42, -57?
-15*r + 18
What is the t'th term of 50, 97, 144, 191, 238, 285?
47*t + 3
What is the i'th term of -31, -37, -47, -61, -79?
-2*i**2 - 29
What is the h'th term of 3944, 7888, 11832, 15776?
3944*h
What is the t'th term of -2, -7, -16, -29, -46?
-2*t**2 + t - 1
What is the r'th term of -53, -38, -9, 40, 115, 222?
r**3 + r**2 + 5*r - 60
What is the u'th term of 518, 517, 516, 515?
-u + 519
What is the x'th term of 40, 203, 542, 1111, 1964, 3155?
9*x**3 + 34*x**2 - 2*x - 1
What is the y'th term of -31, -14, 29, 110, 241?
2*y**3 + y**2 - 34
What is the l'th term of -55, -97, -139, -181, -223?
-42*l - 13
What is the d'th term of 20, 71, 192, 419, 788, 1335, 2096, 3107?
6*d**3 - d**2 + 12*d + 3
What is the o'th term of 14, 54, 132, 266, 474?
3*o**3 + o**2 + 16*o - 6
What is the d'th term of -1162, -2321, -3480, -4639?
-1159*d - 3
What is the f'th term of 7, 7, -3, -29, -77, -153, -263?
-f**3 + f**2 + 4*f + 3
What is the p'th term of -3, 31, 129, 321, 637, 1107?
5*p**3 + 2*p**2 - 7*p - 3
What is the m'th term of 9, 9, 7, 3, -3, -11, -21?
-m**2 + 3*m + 7
What is the k'th term of 2119, 2108, 2097, 2086, 2075?
-11*k + 2130
What is the o'th term of -4, -24, -52, -88, -132, -184?
-4*o**2 - 8*o + 8
What is the p'th term of 42, 41, 30, 3, -46, -123, -234, -385?
-p**3 + p**2 + 3*p + 39
What is the s'th term of -778, -780, -782, -784, -786?
-2*s - 776
What is the u'th term of -1231, -2461, -3691, -4921?
-1230*u - 1
What is the d'th term of -835, -1659, -2473, -3277, -4071?
5*d**2 - 839*d - 1
What is the j'th term of -3223, -3236, -3251, -3268, -3287?
-j**2 - 10*j - 3212
What is the n'th term of 2, -2, -8, -16, -26?
-n**2 - n + 4
What is the t'th term of 19, 84, 191, 340, 531?
21*t**2 + 2*t - 4
What is the w'th term of 23, 126, 289, 506, 771?
-w**3 + 36*w**2 + 2*w - 14
What is the p'th term of -13, -28, -51, -82, -121, -168, -223?
-4*p**2 - 3*p - 6
What is the d'th term of 1844, 3695, 5546, 7397, 9248, 11099?
1851*d - 7
What is the h'th term of -638, -643, -648, -653, -658, -663?
-5*h - 633
What is the q'th term of 8, 23, 48, 83, 128?
5*q**2 + 3
What is the m'th term of 73, 138, 225, 346, 513, 738, 1033, 1410?
2*m**3 - m**2 + 54*m + 18
What is the k'th term of 21, 200, 689, 1644, 3221, 5576?
26*k**3 - k**2 - 4
What is the t'th term of 483, 1934, 4351, 7734, 12083, 17398?
483*t**2 + 2*t - 2
What is the k'th term of 3, -19, -47, -81, -121, -167, -219?
-3*k**2 - 13*k + 19
What is the q'th term of -59, -207, -355, -503?
-148*q + 89
What is the l'th term of -710, -1369, -2028, -2687, -3346, -4005?
-659*l - 51
What is the u'th term of -16871, -16868, -16863, -16856, -16847, -16836?
u**2 - 16872
What is the x'th term of 1606, 1612, 1618?
6*x + 1600
What is the h'th term of 16, 149, 362, 649, 1004, 1421, 1894, 2417?
-h**3 + 46*h**2 + 2*h - 31
What is the b'th term of -58, -217, -474, -829, -1282, -1833, -2482?
-49*b**2 - 12*b + 3
What is the o'th term of 152, 154, 156, 158, 160, 162?
2*o + 150
What is the y'th term of -658, -647, -636, -625, -614, -603?
11*y - 669
What is the c'th term of 90, 198, 308, 420?
c**2 + 105*c - 16
What is the j'th term of -2005, -4009, -6013?
-2004*j - 1
What is the g'th term of 264, 249, 210, 135, 12, -171?
-2*g**3 - g + 267
What is the t'th term of -59, -80, -149, -290, -527, -884?
-4*t**3 + 7*t - 62
What is the i'th term of -452, -436, -402, -344, -256, -132, 34?
i**3 + 3*i**2 - 456
What is the u'th term of -18, -32, -68, -138, -254, -428, -672?
-2*u**3 + u**2 - 3*u - 14
What is the s'th term of -2081, -2082, -2083, -2084, -2085?
-s - 2080
What is the j'th term of 191, 209, 239, 287, 359, 461?
j**3 + 11*j + 179
What is the p'th term of -13445, -13444, -13443, -13442, -13441, -13440?
p - 13446
What is the v'th term of -78, -162, -258, -372, -510, -678?
-v**3 - 77*v
What is the b'th term of -3, 12, 53, 132, 261, 452?
2*b**3 + b**2 - 2*b - 4
What is the n'th term of 21, 41, 85, 165, 293?
2*n**3 + 6*n + 13
What is the d'th term of -349, -373, -399, -427?
-d**2 - 21*d - 327
What is the h'th term of 2, 42, 82, 122, 162, 202?
40*h - 38
What is the p'th term of 1600, 1610, 1626, 1648, 1676, 1710?
3*p**2 + p + 1596
What is the r'th term of -52, -53, -32, 23, 124, 283, 512, 823?
2*r**3 - r**2 - 12*r - 41
What is the w'th term of 450, 449, 448, 447, 446?
-w + 451
What is the k'th term of -38, -28, -20, -20, -34, -68, -128, -220?
-k**3 + 5*k**2 + 2*k - 44
What is the h'th term of -5579, -5580, -5579, -5576, -5571?
h**2 - 4*h - 5576
What is the n'th term of -449, -484, -519, -554, -589?
-35*n - 414
What is the f'th term of 99, 104, 121, 156, 215, 304?
f**3 - 2*f + 100
What is the b'th term of -193, -765, -1719, -3055, -4773?
-191*b**2 + b - 3
What is the n'th term of -144, -278, -412?
-134*n - 10
What is the m'th term of -78, -209, -342, -477, -614, -753?
-m**2 - 128*m + 51
What is the q'th term of 3618, 3619, 3620, 3621, 3622, 3623?
q + 3617
What is the a'th term of -56, -59, -62, -65, -68?
-3*a - 53
What is the p'th term of -368, -369, -370, -371, -372?
-p - 367
What is the l'th term of -63, -56, -51, -54, -71?
-l**3 + 5*l**2 - l - 66
What is the k'th term of 84, 168, 250, 330, 408, 484, 558?
-k**2 + 87*k - 2
What is the h'th term of 71, 68, 65?
-3*h + 74
What is the i'th term of -5882, -5884, -5886?
-2*i - 5880
What is the x'th term of -447, -438, -417, -378, -315?
x**3 + 2*x - 450
What is the y'th term of 39, 13, -13, -39?
-26*y + 65
What is the f'th term of 6278, 6279, 6280, 6281?
f + 6277
What is the o'th term of -925, -921, -903, -865, -801, -705, -571, -393?
o**3 + o**2 - 6*o - 921
What is the j'th term of 143, 289, 435, 581, 727?
146*j - 3
What is the v'th term of -69, -68, -67, -66, -65, -64?
v - 70
What is the q'th term of 12, 53, 154, 345, 656, 1117?
5*q**3 + 6*q + 1
What is the t'th term of 241, 463, 685, 907?
222*t + 19
What is the k'th term of -256, -140, 178, 800, 1828, 3364, 5510?
17*k**3 - k**2 - 272
What is the x'th term of 73, 53, 27, 1, -19, -27, -17?
x**3 - 9*x**2 + 81
What is the w'th term of 3, 2, -7, -30, -73, -142, -243?
-w**3 + 2*w**2 + 2
What is the o'th term of 26, 341, 1206, 2897, 5690?
46*o**3 - o**2 - 4*o - 15
What is the b'th term of -137, -561, -1271, -2267, -3549, -5117?
-143*b**2 + 5*b + 1
What is the i'th term of 508, 965, 1420, 1873, 2324, 2773, 3220?
-i**2 + 460*i + 49
What is the o'th term of -882, -1766, -2650, -3534, -4418, -5302?
-884*o + 2
What is the m'th term of -11745, -11741, -11735, -11727, -11717?
m**2 + m - 11747
What is the u'th term of 7351, 7350, 7349?
-u + 7352
What is the z'th term of -15, -41, -93, -177, -299, -465, -681?
-z**3 - 7*z**2 + 2*z - 9
What is the i'th term of 101, 200, 299, 398, 497?
99*i + 2
What is the z'th term of 10166, 10171, 10190, 10229, 10294, 10391, 10526, 10705?
z**3 + z**2 - 5*z + 10169
What is the o'th term of -16021, -16023, -16025, -16027, -16029, -16031?
-2*o - 16019
What is the s'th term of 3, -5, -33, -81, -149, -237, -345?
-10*s**2 + 22*s - 9
What is the z'th term of 89, 92, 95, 98, 101, 104?
3*z + 86
What is the o'th term of 94, 88, 80, 70, 58?
-o**2 - 3*o + 98
What is the k'th term of -169, -170, -161, -136, -89, -14, 95, 244?
k**3 - k**2 - 5*k - 164
What is the m'th term of -558, -1130, -1706, -2286?
-2*m**2 - 566*m + 10
What is the s'th term of 307, 304, 301, 298, 295, 292?
-3*s + 310
What is the v'th term of -3687, -3689, -3691, -3693?
-2*v - 3685
What is the h'th term of -3, -10, -21, -36, -55, -78, -105?
-2*h**2 - h
What is the k'th term of 246, 255, 270, 291?
3*k**2 + 243
What is the v'th term of 256, 124, -6, -134, -260, -384?
v**2 - 135*v + 390
What is the x'th term of 3, 23, 57, 105, 167?
7*x**2 - x - 3
What is the q'th
|
{
"pile_set_name": "DM Mathematics"
}
|
) 0.02 (d) -18
a
What is the third biggest value in -3/23, -3/2, -0.7, 3/4, -0.1?
-3/23
What is the smallest value in 0.1, -25, 0?
-25
Which is the fourth biggest value? (a) -3/8 (b) -46 (c) -14 (d) 3
b
Which is the third smallest value? (a) 2/5 (b) -7/30 (c) -2/15
a
Which is the third biggest value? (a) 3 (b) 2/3 (c) 4 (d) -1
b
What is the fourth smallest value in 0.2, -4, 3/13, 2/7?
2/7
What is the smallest value in -2, 0.8, -1/12?
-2
Which is the biggest value? (a) 12 (b) 0 (c) -5 (d) -1
a
Which is the biggest value? (a) -6 (b) 12 (c) -9
b
What is the fourth biggest value in 0, 2, -5, 4770?
-5
What is the biggest value in 0.2, 1/4, -22.5, -2?
1/4
What is the fourth smallest value in -12, 2/9, -0.3, 2/5?
2/5
Which is the second biggest value? (a) 0.5 (b) 0.43 (c) 0
b
Which is the biggest value? (a) 63 (b) 0.5 (c) 1/4 (d) 1/6
a
What is the third smallest value in -49, 2/11, 1?
1
Which is the biggest value? (a) -3 (b) 379 (c) 5 (d) 2
b
Which is the smallest value? (a) 6 (b) 0.1 (c) -0.2 (d) -2
d
Which is the biggest value? (a) 1/3 (b) 2 (c) 4/7
b
What is the smallest value in 0.09, 2, -1/5, 2/9, -3?
-3
Which is the third smallest value? (a) 0.4 (b) 0.1 (c) -401
a
What is the third smallest value in 3, 57, -4, 7?
7
Which is the fourth smallest value? (a) -5 (b) 0.5 (c) 0.7 (d) -1.8
c
What is the second biggest value in 1/8, -0.1, 1/6, -2/17?
1/8
Which is the third biggest value? (a) 1/57 (b) 1 (c) -2/9
c
Which is the second biggest value? (a) -1 (b) -319 (c) 0
a
Which is the smallest value? (a) 1/6 (b) -5/2 (c) 1 (d) -1/2 (e) -8
e
What is the second biggest value in -2, 19/2, 2/9?
2/9
What is the biggest value in 0.4, 6/7, -0.2, 0.5?
6/7
What is the biggest value in 3, 101, -3?
101
Which is the biggest value? (a) 3 (b) 23 (c) 3/7
b
Which is the smallest value? (a) -2 (b) -38 (c) -1/7
b
Which is the second smallest value? (a) -0.5 (b) -1.98 (c) -0.06
a
Which is the second biggest value? (a) 0.1 (b) 2 (c) 17/14
c
Which is the third smallest value? (a) 0.24 (b) -6/17 (c) 3
c
What is the third smallest value in 1, 2, -2, 5, -1/6?
1
What is the smallest value in 2, -2/5, 6.1, 0.02?
-2/5
Which is the third smallest value? (a) 3 (b) -3 (c) 1.03 (d) 2/11 (e) -4
d
Which is the biggest value? (a) -0.1 (b) 1 (c) -1/3 (d) 27/4
d
Which is the fourth smallest value? (a) -5/6 (b) -0.3 (c) -1 (d) -81
b
What is the second biggest value in -1, 665, -5, -0.2, 0.3?
0.3
What is the second biggest value in -3, -3/8, -4/9, 3, -2/9?
-2/9
What is the third smallest value in 0.2, -5, 48?
48
What is the third smallest value in 0.1, 2/9, 3, 0.0373?
2/9
Which is the second biggest value? (a) 28/3 (b) -1 (c) -4/3
b
Which is the third biggest value? (a) -0.1 (b) -2/3 (c) -4 (d) 4
b
Which is the second biggest value? (a) -1 (b) -2/15 (c) 1/5
b
Which is the third biggest value? (a) 1 (b) 8/3 (c) 4 (d) -5 (e) -0.1
a
What is the second biggest value in -3, 13, -2/7, 4/3, -0.3?
4/3
Which is the fourth smallest value? (a) -0.07 (b) -3 (c) -2 (d) 2 (e) 8
d
What is the fourth smallest value in -2.4, 5, 3, -2, -0.3?
3
What is the third smallest value in 0.01, 4/5, -1, -335?
0.01
Which is the fourth smallest value? (a) -164 (b) 3 (c) -3 (d) -1
b
Which is the second smallest value? (a) 4/3 (b) -5 (c) -0.37 (d) 0.4 (e) -0.4
e
Which is the second biggest value? (a) -0.4 (b) 0.1 (c) 2/5 (d) 5/3
c
Which is the second smallest value? (a) -1 (b) -4 (c) 0.01 (d) 0.011
a
What is the second smallest value in 0.09, 0.2, 4?
0.2
What is the third biggest value in 9.8, 3, 0.4, -19?
0.4
What is the smallest value in 46, -2/69, -3, 2?
-3
What is the biggest value in 10/3, -9, 0.2, -2/3?
10/3
Which is the fourth biggest value? (a) 3 (b) 3.3 (c) -5 (d) 1/15
c
What is the fourth smallest value in 0.5, 0.96, 1/3, 4?
4
Which is the second biggest value? (a) 0.4 (b) -2/5 (c) 1 (d) 3 (e) -1/3
c
What is the third biggest value in 6, -3, 710?
-3
What is the third biggest value in -0.01251, -0.5, 0?
-0.5
Which is the second smallest value? (a) -2 (b) -4 (c) 7 (d) -0.2
a
Which is the smallest value? (a) -42 (b) 0.05 (c) -2/17
a
What is the fourth smallest value in -4, 3/5, 5, 0.4?
5
Which is the third smallest value? (a) 0.1 (b) -2/5 (c) 15 (d) 3
d
What is the smallest value in -1, -4.96, -5?
-5
Which is the smallest value? (a) 1.2 (b) 0.2 (c) 2/59
c
Which is the third smallest value? (a) -213.7 (b) 0.5 (c) 3/5
c
Which is the biggest value? (a) -2/7 (b) 4 (c) 0.03 (d) 0.2 (e) 17
e
Which is the biggest value? (a) 0.5 (b) -5 (c) -9 (d) -2
a
Which is the second biggest value? (a) 92 (b) 1 (c) 5
c
Which is the second smallest value? (a) -1 (b) 3 (c) -24 (d) -14 (e) 0.1
d
Which is the biggest value? (a) 2/17 (b) 1 (c) 81
c
What is the second smallest value in -11, 1/4, 1, -0.4?
-0.4
What is the second smallest value in -4, 0.013, -5, 2?
-4
What is the third smallest value in 15, 2.8, 1/5, 0.3?
2.8
Which is the biggest value? (a) 2 (b) 2/21 (c) 55/6
c
Which is the fourth smallest value? (a) -1/9 (b) 0.11 (c) -0.5 (d) -2/29
b
Which is the fourth biggest value? (a) 60 (b) 0.5 (c) 0.1 (d) -3
d
Which is the second biggest value? (a) 5 (b) -2/109 (c) 0.4
c
Which is the second biggest value? (a) -1 (b) -0.2 (c) -30
a
What is the second biggest value in -2.4, 2, -3?
-2.4
What is the third smallest value in 1, -1, -242, -4?
-1
What is the second biggest value in -5, -406, 4?
-5
Which is the second biggest value? (a) 32 (b) -75 (c) 0.3
c
What is the second smallest value in -10.7, 4/11, -2/13, 0?
-2/13
Which is the smallest value? (a) -3 (b) -0.3 (c) -55
c
What is the smallest value in 4, 0, -15, -4?
-15
Which is the third smallest value? (a) 2/11 (b) -4 (c) -1 (d) 0.3
a
Which is the fourth smallest value? (a) -0.2 (b) 16 (c) -5 (d) 0.3
b
What is the third smallest value in 7, -48, 0.04?
7
Which is the second smallest value? (a) 2 (b) -33 (c) 1/3 (d) -0.2
d
Which is the third biggest value? (a) 1 (b) 2/11 (c) -227
c
What is the fifth smallest value in 5, 0.03, 0.4, 1/8, 0.027?
5
Which is the fourth biggest value? (a) -7/93 (b) -5 (c) 3 (d) -2
b
What is the second smallest value in 4, -2, 2/15?
2/15
What is the biggest value in -0.1, -3, -5, 2, 825?
825
What is the fourth biggest value in 1/6, -0.062, -0.3, 2/3?
-0.3
What is the fourth biggest value in 0, -4, -3/86, -1?
-4
What is the biggest value in 16, -6, -5, -54?
16
What is the second biggest value in -1/7, 0.07, 0, -0.1?
0
What is the third smallest value in -0.01, -4, 4, 3?
3
What is the third biggest value in -21, 4/7, 1, 0.3, 3/4?
4/7
Which is the third smallest value? (a) 4 (b) -6/13 (c) -0.1 (d) 4/3
d
Which is the second smallest value? (a) -3 (b) 1/3 (c) -2.3 (d) -4/5 (e) -14/5
e
Which is the second smallest value? (a) -5 (b) 204 (c) 1
c
What is the second smallest value in 0.4, -28, -0.3, -4, -1?
-4
What is the biggest value in 1/111, 2/17, -2?
2/17
Which is the second smallest value? (a) -19/2 (b) 5 (c) 2/15 (d) 0.37 (e) 3
c
Which is the smallest value? (a) -0.2 (b) 0 (c) 3/4 (d) -8/7 (e) 1
d
Which is the fourth biggest value? (a) 3/5 (b) -0.5 (c) 1 (d) 3 (e) -0.049
e
What is the smallest value in 181, 2, 3?
2
Which is the smallest value? (a) 1.3 (b) -4 (c) 3 (d) 4 (e) -3
b
Which is the smallest value? (a) 1/5 (b) -1/8 (c) 2.3 (d) 3/4
b
What is the second biggest value in 3, -4, -20?
-4
Which is the biggest value? (a) -6.9 (b) 1 (c) 2
c
What is the second biggest value in -0.26, -4, 0.368?
-0.26
Which is the fourth biggest value? (a) 5 (b) -0.121 (c) 4/7 (d) 3
b
Which is the third biggest value? (a) 31 (b) -0.4 (c) 1/11
b
Which is the smallest value? (a) 0.4 (b) -0.2 (c) 4 (d) -4/29
b
Which is the third smallest value? (a) -0.4 (b) -0.3 (c) 1 (d) -27
b
What is the third biggest value in -8/23, 3/4, -0.5, 0.2, 0?
0
What is the biggest value in 9, -4, -2, 0.056?
9
Which is the third smallest value? (a) -0.2 (b) 3 (c) -0.5 (d) -2/5
a
What is the biggest value in 0.4, -1/4, -8/13?
0.4
Which is the biggest value? (a) 0 (b) -5 (c) -1/2
a
Which is the fourth biggest value? (a) -0.4 (b) 5 (c) -0.3
|
{
"pile_set_name": "DM Mathematics"
}
|
4 - 12*h**2. Let s(k) be the second derivative of j(k). Calculate d(s(p)).
-10*p
Let d(t) = 15604*t**2. Let b(c) = 2*c. Determine d(b(o)).
62416*o**2
Let z(k) = -90621*k. Let h(s) = 2*s**2. What is h(z(n))?
16424331282*n**2
Let v(l) = -2*l**2. Suppose -6 = 2*j - 18. Let x(h) = 4*h + 2*h - 9*h + j*h. What is x(v(m))?
-6*m**2
Let t(j) = 55*j**2. Let f(y) = -2*y**2 - 18*y + 12*y + 6*y. Calculate f(t(l)).
-6050*l**4
Let c(f) = 615*f + 2. Let z(x) = -34*x**2. Calculate z(c(r)).
-12859650*r**2 - 83640*r - 136
Let a(g) = -5*g**2. Let i(o) = -7*o + 3. Let z(k) = -5*k + k - 4*k - 1 + 5. Let h(x) = -4*i(x) + 3*z(x). Calculate a(h(w)).
-80*w**2
Let i(p) = -4*p + 48. Let w(t) = 9*t**2 + 10. Let k(v) = -4*v**2 - 4. Let g(r) = -5*k(r) - 2*w(r). What is i(g(l))?
-8*l**2 + 48
Let g(r) = -73*r**2 + 4*r. Let s(i) = 4525*i. Calculate g(s(k)).
-1494720625*k**2 + 18100*k
Let k(v) = 127*v**2. Let q(j) = 4*j**2 - 18*j - 2. Let z(p) = 13*p**2 - 63*p - 7. Let r(h) = 21*q(h) - 6*z(h). Give k(r(m)).
4572*m**4
Suppose 0*l - 4 = -2*l. Let k(c) = -3*c**2 - 7*c**l - 5*c**2 + 14*c**2. Let x(h) = h**2 - 14. What is x(k(j))?
j**4 - 14
Let u(j) be the first derivative of 14*j**3/3 + 6*j + 34. Let n(w) = w. Calculate u(n(t)).
14*t**2 + 6
Let v(g) = -13*g**2. Suppose 5*r = -3*f + 6, 4*f - f + 3*r = 6. Let u(t) = 6*t**2 + 6*t**2 - 12*t**2 + 2*t**f. What is v(u(j))?
-52*j**4
Let w(q) = 266714*q. Let x(g) = -29*g. What is x(w(k))?
-7734706*k
Let v(o) = 48*o**2 + 2*o. Let j(x) = 10*x + 3. Let c(d) = -12*d - 4. Let a(b) = -3*c(b) - 4*j(b). Give a(v(n)).
-192*n**2 - 8*n
Let k(g) be the third derivative of -1/30*g**5 + 0*g**4 + 0*g**3 + 32*g**2 + 0 + 0*g. Let v(w) = 48*w**2. Give k(v(h)).
-4608*h**4
Let z(v) = -59*v - 42*v**2 + 59*v - 27*v**2. Let y(b) = -b. Determine y(z(i)).
69*i**2
Let c(u) be the second derivative of u**4/2 - 33*u. Let h(j) = -12*j. Give c(h(n)).
864*n**2
Let g be 6*(55/(-15) - -4). Let c = 26 - 18. Let w(y) = 0*y + y**2 + 0*y - c*y**g. Let m(r) = r. Determine w(m(f)).
-7*f**2
Let c(f) = -4*f**2. Let n(g) = -32*g + 12. Let t(d) = 13*d - 5. Suppose 0 = -4*q - 18 - 2. Let w(j) = q*n(j) - 12*t(j). Determine w(c(a)).
-16*a**2
Let q(u) be the second derivative of 71*u**4/12 + 37*u + 2. Let l(d) = -2*d. Calculate l(q(a)).
-142*a**2
Let b(c) be the third derivative of 0*c**3 + 0*c + 0*c**4 + 0 + 17*c**2 + 1/15*c**5. Let f(p) = -10*p**2. Determine f(b(j)).
-160*j**4
Let j(n) = -5 + 29 + 2 - 27*n - 26. Let v(c) = 10*c - 2. Calculate v(j(z)).
-270*z - 2
Let p(f) = -7*f + 3 + 6*f + 2. Let z be p(3). Let w(k) = 2*k**z - k**2 + 6 - 6. Let b(c) = -33*c. Calculate w(b(h)).
1089*h**2
Let p(x) = 5*x - 37. Let c be p(9). Let k(f) = 5*f - c*f + 2*f. Let r(a) be the second derivative of a**4/4 - a. Give r(k(z)).
3*z**2
Let a(m) = 2*m**2 - 2*m - 988456. Let x(w) = w. Determine a(x(y)).
2*y**2 - 2*y - 988456
Let q(u) = u**2. Let n(y) = -189972*y. Determine q(n(p)).
36089360784*p**2
Let a(b) = 0*b + 0*b + 0*b**2 + b**2. Let o(j) be the second derivative of -j**5/30 + j**2 + 2*j. Let i(f) be the first derivative of o(f). Give a(i(q)).
4*q**4
Let l(r) = -2*r**2. Let p(o) = -5*o**2 - 3*o. Let c = 3 - 13. Let m(q) = 16*q**2 + 10*q. Let w(d) = c*p(d) - 3*m(d). Give l(w(a)).
-8*a**4
Let g = 15 + -10. Let w(u) = -u**2 + 7*u - 10. Let r be w(g). Let k(d) = r*d + 3*d - 6*d. Let f(m) = -2*m**2. Give f(k(v)).
-18*v**2
Let p(u) = 125*u - 37*u - 47*u - 40*u. Let l(n) = -110*n**2 - 65. Let v(q) = 5*q**2 + 3. Let o(g) = 6*l(g) + 130*v(g). Determine p(o(j)).
-10*j**2
Let i(c) be the second derivative of c**7/840 - 5*c**4/12 + 11*c. Let w(t) be the third derivative of i(t). Let y(l) = 3*l**2. Determine w(y(x)).
27*x**4
Let v(x) = -111*x. Let i(a) = 52*a - 100*a + 48*a - 2*a**2. What is v(i(n))?
222*n**2
Let a(t) = 8*t. Let m(s) = 13634*s. Determine m(a(u)).
109072*u
Let x(l) = -l**2. Let f(z) be the first derivative of z**5/60 + 17*z**4/24 + 19*z**3/3 - 16. Let d(y) be the third derivative of f(y). What is x(d(v))?
-4*v**2 - 68*v - 289
Let x(n) = 56*n + 14. Let d(s) = -6*s. Give x(d(w)).
-336*w + 14
Let r(t) be the third derivative of -t**4/24 - t**2. Let v(f) be the first derivative of -9 + 0*f**2 + 8/3*f**3 + 0*f. What is v(r(d))?
8*d**2
Let h(a) = -7*a - 2986. Let o(k) = -3*k. Calculate h(o(u)).
21*u - 2986
Let g(l) = -4*l. Let x(j) be the third derivative of -j**8/4032 - 3*j**5/5 - 17*j**2. Let m(i) be the third derivative of x(i). Calculate m(g(d)).
-80*d**2
Let z(h) = 43 + 0*h - 43 - 2*h. Let f(c) = -8*c**2 + 11*c**2 - 9*c**2 + 9*c**2. Determine z(f(l)).
-6*l**2
Let h(u) be the first derivative of u**3/3 - 47. Let d(r) = -66*r**2 + 3. Let f(q) = -67*q**2 + 4. Let c(i) = -4*d(i) + 3*f(i). Give h(c(w)).
3969*w**4
Let y(f) = 3477*f**2 - 1775*f**2 - 1732*f**2. Let r(a) = 17*a**2. Determine y(r(l)).
-8670*l**4
Let g(m) = 57*m**2 - 15*m - 5. Let w(a) = -28*a**2 + 9*a + 3. Let x(p) = 3*g(p) + 5*w(p). Let h(i) = -2*i. Determine x(h(r)).
124*r**2
Let k = 49 + -43. Let n(y) = y + 2*y - 3*y + k*y. Let p(g) = 2*g**2. Give p(n(a)).
72*a**2
Let r(w) = -14*w**2 - 12*w + 6. Let l(t) = 54*t**2 + 46*t - 23. Let u(p) = -6*l(p) - 23*r(p). Let k(j) = -83*j - 1 - 2 + 1. What is k(u(i))?
166*i**2 - 2
Let z(l) = -3*l**2 + 15. Let y(q) = -1. Let d(t) = 15*y(t) + z(t). Let j(g) = -3*g**2. What is d(j(i))?
-27*i**4
Let q(z) = 82625*z**2 - 11. Let m(c) = c. What is q(m(s))?
82625*s**2 - 11
Let l(i) = 2*i + i - 2*i. Let n(o) = -200*o**2 + 399*o**2 - 201*o**2. Calculate n(l(k)).
-2*k**2
Let n(s) = -644*s. Let y(h) = -823*h**2 - 2*h. Calculate y(n(c)).
-341327728*c**2 + 1288*c
Let i(c) = -2*c**2. Let l(a) be the second derivative of 0*a**3 - 1/4*a**4 + 4*a + 0 + 0*a**2. Calculate l(i(f)).
-12*f**4
Let d(u) = -4*u**2. Let z(b) = -55*b + 22*b + 42*b. Give d(z(x)).
-324*x**2
Let x(w) be the third derivative of -w**4/12 + w**2. Let q(b) be the third derivative of 0*b + 2*b**2 + 14 + 0*b**3 - 7/60*b**5 + 0*b**4. Calculate q(x(y)).
-28*y**2
Let m(f) = -21*f. Let n(s) be the second derivative of s**5/120 + 19*s**3/3 - 32*s. Let z(v) be the second derivative of n(v). Calculate z(m(w)).
-21*w
Let s(f) = 0*f + 5*f + f. Let u(d) = 7*d**2 - 5*d - 5. Let q = 32 + -37. Let g(i) = 20*i**2 - 14*i - 14. Let o(z) = q*g(z) + 14*u(z). Calculate o(s(m)).
-72*m**2
Let o(f) = f - 56. Let q(r) = 1. Let c(h) = -o(h) + 4*q(h). Let i(v) = v. Give c(i(d)).
-d + 60
Let a(f) be the first derivative of -f**2/2 + 276. Let o(p) be the second derivative of p**4/6 - 2*p. Calculate a(o(y)).
-2*y**2
Let y(k) = -1692*k**2. Let t(b) = -50*b**2 + 3. Determine t(y(j)).
-143143200*j**4 + 3
Let l(a) = -60*a**2 - 66. Let t(u) be the second derivative of u**4/12 + u**2/2 - 30*u. Let f(c) = -4*l(c) - 264*t(c). Let m(w) = -2*w**2. Determine f(m(q)).
-96*q**4
Suppose 0 = -18*r - 5*r + 46. Let h(t) be the first derivative of 4 + 0*t + 0*t**r - 2/3*t**3. Let l(b) = -b. Calculate h(l(p)).
-2*p**2
Let n(p) be the third derivative of p**5/15 + 41*p**2. Let f(j) = -17*j. Determine n(f(u)).
1156*u**2
Let g(l) = -2*l**2. Let i(h) be the third derivative of 3*h**4 - 2*h**2 + 101*h. What is i(g(r))?
-144*r**2
Let p(k) = k. Let v = 26 - -53. Let l(n) = -33*n + 15*n + v*n - 18*n. Give l(p(t)).
43*t
Let g(v) = 2*v. Let a(s) be the first derivative of -29*s**2/2 + 454. Give a(g(o)).
-58*o
Let u(p) be the third derivative of 3*p**4/8 + 54*p**2. Let v(a) = 7*a**2. Give u(v(m)).
63*m**2
Let r(j) be the first derivative of -36 + 0*j**2 - 1/3*j**3 + 0*j. Let l(q) = -q**2 + q. Calculate l(r(c)).
-c**4 - c**2
Let n be (-4 - -1) + (3 - 1). Let f(g) = -3 + 1 - 7*g + 2. Let s(q) = q. Let i(u) = n*f(u) - 5*s(u). Let a(d) = -9*d**2. Give i(a(p)).
-18*p**2
Let w(h) = -2*h. Let k(a) = -80661*a**2. Calculate k(w(j)).
-322644*j**2
Let o(c) = 3*c. Let y(r) be the second derivative of -r**7/1260 - 5*r**4/4 + 29*r. Let z(w) be the third derivative of y(w). What is o(z(u))?
-6*u**2
Let v(i) = 212*i - 19. Let n(s) = -13*s + 2. Give n(v(y)).
-2756*y + 249
Let n(k) = 7*k**2. Suppose f - 13 + 3 = 0. Let o(h) = h + 7*h**2 - f*h**2 - h. Calculate o(n(b)).
-147*b**4
Let s(g) = -3*g**2. Let h be 4*1*(-4)/(-8)*13. Let b(v) = -8*v - 3*v + h*v + 0*v. What is b(s(t))?
-45*t**2
Let x(w) = -3*w + 6. Let g(v) = 3*v - 8. Let s(q) = -3*g(q) - 4*x(q). Let j(i) = 4*i**2 + 4. Give j(s(y)).
36*y**2 + 4
Let u(t) = -6760*t**2.
|
{
"pile_set_name": "DM Mathematics"
}
|
0.1
Suppose -4*t - 10 = -8*g + 7*g, -4*t = 2*g + 4. Sort -7, -1, 0, t.
-7, t, -1, 0
Let u be (2/3)/(1/6). Suppose -3*h + 4*y - 15 = -3, u*h - 5*y = -15. Suppose 3*i + 4*b + 23 = h, 31 = -4*i - i - 3*b. Put -4, i, 1 in ascending order.
i, -4, 1
Let r = 18.9 - 17. Let h = r - 1.6. Suppose 0 = -4*k - 3*z + 26, 2*k - 2*z = -4*z + 14. Sort -3, h, k in increasing order.
-3, h, k
Let b be 0 + -1 + (-25)/(-35). Let c = 118 + -115. Let g = -2 + 2.4. Sort b, c, g.
b, g, c
Let m(k) = -k**3 - 9*k**2 + 23*k + 13. Let c be m(-11). Suppose -h + 4*h = -2*p + 24, 0 = 4*p. Put 1, -1, h, c in decreasing order.
h, c, 1, -1
Suppose -3066*s + 3070*s - 16 = 0. Put 38, s, 7 in ascending order.
s, 7, 38
Let s = -4.3 + 13.3. Let p be -2 + -4 + (2 - 1). Let y(w) = -w**3 - 4*w**2 + 4*w - 3. Let u be y(p). Sort 1, u, s.
1, u, s
Let l(u) = -10*u - 1. Let k be l(-1). Let w = 9 - k. Let n = -8 - -4. Sort 4, n, w in ascending order.
n, w, 4
Let v = -0.1313 + 8.1313. Let o = 0 - -0.1. Put v, -3, o in ascending order.
-3, o, v
Suppose 4*j = 22 - 2. Suppose 0 = -5*a - 2*z + 1, 7*a + 2*z = 3*a. Sort a, -6, j in decreasing order.
j, a, -6
Let m = 0.19 - 0.16. Let q = m - 0.31. Let c = q - -0.08. Put -7, c, 2/17 in decreasing order.
2/17, c, -7
Suppose 25 = -5*m, -2*u + m - 34 = u. Let v = u + 13. Suppose 2*g - 12 = 5*o, -4*o - 4*g - 33 + 1 = v. Sort o, 2, -2.
o, -2, 2
Let g = 46 + -185/4. Let l = 1/169 - 512/845. Let c = 0.1 - 0. Sort c, g, l in descending order.
c, g, l
Let v = 78.041 - 78. Let z = 7.959 + v. Let c = -2 - -1. Put z, c, 0.1 in increasing order.
c, 0.1, z
Let l be (4 - -4)*(-2)/4. Let r = -1.91 - -2.21. Put l, -1/2, r, 3 in decreasing order.
3, r, -1/2, l
Let r = -108 + 108.4. Sort -0.2, r, -3, 2 in increasing order.
-3, -0.2, r, 2
Let d = -60 + 32. Let o = d - -27.8. Put 0.1, o, -0.3 in increasing order.
-0.3, o, 0.1
Let v = 0.48 + -0.08. Let o = v - 0.3. Put o, 1, 0.2 in descending order.
1, 0.2, o
Let c = 2166 + -2166.3. Sort c, 6, 8/19.
c, 8/19, 6
Let k(w) = -w**2 + 8*w - 8. Suppose 4 + 3 = b. Let y be k(b). Sort y, 2, -2 in ascending order.
-2, y, 2
Let c(v) = v**3 - 3*v**2 + 2*v - 2. Let z be c(4). Put -1, -0.5, z in decreasing order.
z, -0.5, -1
Suppose -2*s - 11 = u, -13 = 4*s - u - 0*u. Let o be (s/6)/((-16)/(-12)). Put 2, o, -3 in ascending order.
-3, o, 2
Let a = -20.8726 - 0.0274. Let f = a + 21. Put f, 1, -2, 0.2 in ascending order.
-2, f, 0.2, 1
Let v = -170 + 171. Let o be 3 + (2 + 0 - 1). Let p = 8 + -12. Sort v, p, o in decreasing order.
o, v, p
Suppose 4*b = 4*c - 28, 0 = c + 5*b - 0*b + 23. Let f = 3 + c. Let o be (-8)/5*25/(-10). Sort f, o, -1 in increasing order.
-1, o, f
Let r = -92.8 - -93.2. Put -1, r, 1, -3 in decreasing order.
1, r, -1, -3
Let a = -6 - -6.6. Let v = -0.0914 - 0.3086. Let t(u) = -2*u + 7. Let d be t(6). Put v, d, a in ascending order.
d, v, a
Let u = -52 + 47.4. Let v = u + 0.6. Sort 2/3, 8, v in increasing order.
v, 2/3, 8
Let a = 177 + -214. Sort 1, a, 5, -5 in descending order.
5, 1, -5, a
Suppose -12*l + 470 = 170. Sort 0, l, -5 in increasing order.
-5, 0, l
Let s be 2/(-7) + (-429)/91. Let p = 2 + -1. Let g = p + 2. Put s, g, 5 in descending order.
5, g, s
Let b = 510 - 505. Sort b, -1, 47 in increasing order.
-1, b, 47
Let t = -0.85 + 0.95. Let l = 4 + -6. Put -0.05, t, -1/7, l in descending order.
t, -0.05, -1/7, l
Suppose -c = -a + 2, -5*c - 3*a - 13 = 21. Suppose -3*s = 16 - 16. Sort 3, s, c, -1 in descending order.
3, s, -1, c
Let x be (6/4)/((-2)/36). Let t be (4 + -14 + 8)/(-2). Sort 5, -3, x, t in ascending order.
x, -3, t, 5
Let n be 0 - (1 - -3*2). Let h = n - -4. Let g be (2 - 5) + 2/1. Put -2, g, h in descending order.
g, -2, h
Let l = -1460.5 - -1461. Suppose 3*r - 6*r + 3*u + 21 = 0, r - 22 = 4*u. Put 4/3, 1, l, r in increasing order.
l, 1, 4/3, r
Let t = -0.5959 - -0.0959. Let b = 1341/7 - 191. Sort 4, b, t.
t, b, 4
Suppose 15*b + 78*b + 2325 = 0. Put 5, b, -1, 3 in ascending order.
b, -1, 3, 5
Let f = 47.6 + -9.6. Let m = f + -37.5. Put -0.8, m, -5 in ascending order.
-5, -0.8, m
Let t be (-10)/(-15)*3 + 2/1. Sort t, 5, -18, 1 in descending order.
5, t, 1, -18
Let m = -0.464 + 19.764. Let n = -19 + m. Sort -3/2, n, 2.
-3/2, n, 2
Let j = 64 + -37. Let g be j*1/(-7) + 23/(-161). Put -3, 11, g in increasing order.
g, -3, 11
Let p = -4441 + 4442. Let j(s) = s - 1. Let n be j(1). Put 12, p, n in increasing order.
n, p, 12
Suppose 4*t = 4 - 4. Let m be (20/15)/(1/3). Let v be (-2)/(-1)*(m - 2). Put t, v, 2 in decreasing order.
v, 2, t
Let i = -43 - -40.9. Let t = -2 - i. Let z = -18 - -14. Put t, z, 2 in ascending order.
z, t, 2
Let u be 63/6*16/12. Let c be ((-21)/u)/((-1)/2). Sort c, 0, -5 in decreasing order.
c, 0, -5
Let v be -1*4/(-10)*(3 + 2). Let z be (-48)/(-26) - (-4)/26. Suppose -5 = q - z*q. Put v, q, -2 in ascending order.
-2, v, q
Let s = 97.5 + -101.5. Let d = 1.2 - 10.2. Put d, 0.1, s in decreasing order.
0.1, s, d
Let f = -16.4 + 16.4. Let m = -29/2 + 15. Sort 0.1, f, m in decreasing order.
m, 0.1, f
Let y = -761/7 - -109. Sort y, 0.3, -0.5, 0 in ascending order.
-0.5, 0, y, 0.3
Suppose 139*a = 144*a - 5, -25 = 5*s - 5*a. Let j be (-3)/(-9) - 28/(-6). Sort j, 1, s, -5 in decreasing order.
j, 1, s, -5
Let k = 8698.6 + -8699. Let j = -0.5 + 2.5. Put -4, k, j, 0.4 in ascending order.
-4, k, 0.4, j
Let h = -72 - -122. Let z = -54 + h. Sort 2/19, z, -0.5, -2.
z, -2, -0.5, 2/19
Let u = -1326 + 1324. Sort 4, -4, u, 3 in descending order.
4, 3, u, -4
Let m be (-24)/9*(-9)/24. Put m, 5, -36 in descending order.
5, m, -36
Let j = 14 - 13.7. Let s = -0.74 - 1.26. Put j, s, -0.5, -1/3 in increasing order.
s, -0.5, -1/3, j
Let z(s) = -s**2 + 7*s + 2. Let r be z(7). Suppose 5*k - i = 3*i, 0 = -k + i - 1. Suppose -3 + 7 = -k*d. Sort d, 5, r in descending order.
5, r, d
Let d(y) = 3*y**3 + 12*y**2 - 4*y + 1. Let j be d(-4). Put j, 3, -5, 5 in decreasing order.
j, 5, 3, -5
Let p be ((-3)/(-2))/(3/8). Let f(r) = r**2 - 2*r - 5. Let a be f(6). Sort a, -5, p.
-5, p, a
Suppose -2*c = -z - 8 - 5, -c - 2*z - 6 = 0. Let o be -2*(-3 + c + -2). Let n = 15 - 24. Sort n, o, -3.
n, -3, o
Suppose 0 = 496*m - 501*m - 25. Let a(j) = j - 4. Let c be a(8). Put c, 80, m in decreasing order.
80, c, m
Let h = 0.2 + -1.6. Let p = 1.6 - h. Let z = -6 + p. Put 1/6, z, -1/3 in descending order.
1/6, -1/3, z
Let d be (-2)/(-11) + 38/(-209). Suppose d = -2*f + 88 - 20. Let a = f + -33. Put a, -2, 5 in increasing order.
-2, a, 5
Let u = 63 + -67. Suppose -h = 5*a - 10, 3*a = 4*h - 6*h - 1. Sort u, 2, h, 1.
h, u, 1, 2
Suppose -3*o - 29*f + 32*f = 6, -3*o + 5*f = 14. Sort 0, 30, o in ascending order.
0, o, 30
Suppose -3*y = 2*j - 13, 5*y - 6 + 1 = 0. Suppose 0 = -4*u - 0*u + 48. Sort 0, u, j in increasing order.
0, j, u
Let z be 3 + 0 - (14 - 14). Suppose 5*w + z*i - 24 = 0, -i = -2*w + i. Put w, 2, 0 in decreasing order.
w, 2, 0
Let x = 950 - 952. Sort x, -9.1, -0.3.
-9.1, x, -0.3
Suppose 0 = 5*l + 4*s, -2*l - 6 = -2*s + 12. Sort -18, l, 1, 4 in descending order.
4, 1, l, -18
Suppose -f + 3*f = 32. Suppose 0 = 20*h - f*h. Sort 3, h, -2, 1.
-2, h, 1, 3
Let t(z) = -z - 7. Let d be t(-4). Let s = 1.6 - -1.4. Let g = 0 - -0.2. Sort g, d, s in decreasing order.
s, g, d
Let t(x) = -x**3 - 14*x**2 + 14*x - 19. Let l be t(-15). Put 13, l, 0, -1 in descending order.
13, 0, -1, l
Suppose 0 = -5*q + 53 - 78. Put q, 4, 1 in ascending order.
q, 1, 4
Let s be (-9)/6*80/(-12). Let j be (-2 - 2) + 1/1. Sort s, -5, -1, j in increasing order.
-5, j, -1, s
Let s = -112.2 + 112. Sort 0.4, s, 5, -0.7.
-0.7, s, 0.4, 5
Let f = 13 - 16. Let q(r) = -r**2 - 8*r + 11. Let o be q(-9). Sort o, f, -2 in ascending order.
f, -2, o
Let r be 8/(-20) + 12/5. Let s be r + -3 + 4 + 2. Suppose -l = 3*k - 4 + 2, 0 = 2*l + 8. Sort k, s, -2.
-2, k, s
Let x = -57.2129 + 0.1129. Let j = x + 57. Let z = 8 - 8.03. Sort -2, j, z in decreasing order.
z, j, -2
Let l = 33.94 - 34. Let r = l - 4.94. Let n be 2/9 - (-17)/(-36). Put n, 0, r in ascending order.
r, n, 0
Let s be (16/18)/((-2)/3). Let x(q) = q**3 + q**2 + 36. Let u be x(0). Let a be -2*3/u - 26/(-12). Sort a, 3/2, s in descending order.
a, 3/2, s
Suppose 8 = 3*h - 10. Suppose -u + 1 + h = 0. Suppose r - u = -0*r. Sort -3, r, -1 in increasing order.
-3, -1, r
Suppose g = -5*s - 36, 4*s + 8 + 12 = -3*g. Let i = -2 - s. S
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{
"pile_set_name": "DM Mathematics"
}
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2*p**4 wrt p?
72*p**2
Let j = 3 + -1. What is the third derivative of 3*m**2 + 0*m**4 - m**j - 2*m**4 wrt m?
-48*m
Let m(f) be the second derivative of 8*f**7/21 + 5*f**3/2 + 17*f. What is the second derivative of m(t) wrt t?
320*t**3
Let j(b) be the third derivative of -b**6/720 - b**5/30 + b**4/6 + 6*b**2. Let l(x) be the second derivative of j(x). Find the first derivative of l(u) wrt u.
-1
Find the second derivative of -12*x - 3*x - 16*x**4 + 2*x**4 wrt x.
-168*x**2
Let c(h) = 3*h**2 + h + 5*h - 4*h**2. Let j be c(5). What is the third derivative of -3*g**2 - 3*g**j + g**2 + g**5 wrt g?
-120*g**2
Let p(t) be the third derivative of 11*t**6/120 - 7*t**3/6 - 5*t**2. Differentiate p(d) with respect to d.
33*d**2
Differentiate -38 - 7*f**2 - 38 + 82 with respect to f.
-14*f
Let u be -1*2*(-11 + 10). Find the third derivative of -u*k**4 + 2*k**2 - 14 + 14 wrt k.
-48*k
Suppose 0 = -3*a - 0*a + 9, -5*o - 2 = -4*a. What is the third derivative of -s**3 + s**2 + s**o + 2*s**3 - 6*s**2 wrt s?
6
Let q(z) be the first derivative of -11*z**4/2 - 13*z**3/3 - 19. Find the third derivative of q(h) wrt h.
-132
Find the first derivative of -6*g**4 + 1 - g**4 - g**4 wrt g.
-32*g**3
Suppose -2 = -3*z + 5*w + 9, -5*w - 7 = -z. Suppose z*g = g + 6. Find the third derivative of 2*t**4 + 3*t**4 - g*t**4 - t**2 wrt t.
-24*t
Let p(k) = 6*k. Let f be p(1). Find the first derivative of -2*t**3 + 4 + f*t**3 - 3 wrt t.
12*t**2
Suppose -3*v = -2*v - 13. Let l = v + -10. What is the third derivative of 0*b**2 + 4*b**2 - 2*b**2 - l*b**6 wrt b?
-360*b**3
Let t(p) = 8*p**5 + 7*p**3 - 31*p**2 + 7. Let s(m) = 3*m**5 + 2*m**3 - 10*m**2 + 2. Let u(r) = 14*s(r) - 4*t(r). Find the third derivative of u(g) wrt g.
600*g**2
What is the second derivative of -7 + 12 - 5 - y**2 - 18*y wrt y?
-2
Let g(o) be the second derivative of -4*o**6/5 - 5*o**4/6 + 3*o. What is the third derivative of g(c) wrt c?
-576*c
Let w = 1 + -8. Let y(k) = k**3 + 7*k**2 + 3. Let s be y(w). Differentiate 5*l - l - s*l + 1 with respect to l.
1
Let t = -8 + 8. Find the third derivative of t*n**2 + 0*n**4 + n**4 - 4*n**2 + 4*n**4 wrt n.
120*n
Let w = 2 + 1. What is the derivative of -2*a**3 + 2*a**w + 3*a**3 + 1 + 0 wrt a?
9*a**2
Let r(y) be the first derivative of 3*y**4 - 8*y + 3. Differentiate r(f) wrt f.
36*f**2
Let g(q) be the second derivative of -q**5/4 + 25*q**3/6 - 22*q. What is the second derivative of g(s) wrt s?
-30*s
Let c(h) = 6*h - 10. Let k(r) be the third derivative of 7*r**4/24 - 11*r**3/6 - 9*r**2. Let m(j) = 4*c(j) - 3*k(j). Differentiate m(o) with respect to o.
3
Let l = -5 + 5. Let z(v) be the first derivative of -2 + l*v**4 + v**3 + 0*v**2 + 0*v + 0*v**5 + 2/3*v**6. What is the third derivative of z(w) wrt w?
240*w**2
Let o(q) = 5*q**4 + 2*q**3 - 4. Let m(p) = -5*p**4 - 3*p**3 + 4. Let y be (0 - (-6)/(-15))*5. Let l(x) = y*m(x) - 3*o(x). Differentiate l(k) with respect to k.
-20*k**3
Let f(a) = 15*a**4 + 3*a**2 + 5*a + 3. Let q(j) = -76*j**4 - 16*j**2 - 26*j - 16. Let y(n) = 16*f(n) + 3*q(n). What is the second derivative of y(x) wrt x?
144*x**2
Let c(f) be the third derivative of 0*f**4 + 0*f**7 + 1/30*f**5 + 0*f + 0*f**3 + 0 + f**2 - 1/112*f**8 + 0*f**6. What is the third derivative of c(d) wrt d?
-180*d**2
Let m(z) = -16*z**3 - 27*z. Let j(c) = -16*c**3 - 27*c. Let a(l) = -3*j(l) + 2*m(l). What is the second derivative of a(q) wrt q?
96*q
Let t = -14 - -18. Find the second derivative of -41*f**4 + f**3 + 37*f**t - 2*f - f**3 wrt f.
-48*f**2
Let p(x) be the first derivative of x**9/1512 + x**5/30 + 5*x**3/3 - 8. Let l(u) be the third derivative of p(u). What is the second derivative of l(m) wrt m?
40*m**3
Let y be (4/(-6))/((-1)/9). Let b be 2/(((-2)/4)/(-1)). Find the third derivative of u**2 - u**6 + b*u**y + 6 - 6 wrt u.
360*u**3
Find the second derivative of -98 - 3*t + 11*t**2 + 2*t + 91 wrt t.
22
Let v(q) = 6*q - 1. Let o(h) = 5*h - 2. Let w be -6*(40/(-12))/5. Let x(m) = w*v(m) - 5*o(m). What is the derivative of x(p) wrt p?
-1
Let w(t) = 3*t**2 - 33*t - 11. Let i(q) = -q**2 + 11*q + 4. Let a(h) = -11*i(h) - 4*w(h). Find the second derivative of a(p) wrt p.
-2
Let c(p) be the second derivative of -p**9/504 + p**5/20 - 3*p**2/2 + 4*p. Let r(x) be the first derivative of c(x). What is the third derivative of r(o) wrt o?
-120*o**3
Let a(h) be the second derivative of -11*h**7/42 - 4*h**4/3 + 26*h. What is the third derivative of a(s) wrt s?
-660*s**2
Let t(c) be the first derivative of 2*c**6/15 - c**4/3 + c - 2. Let l(n) be the first derivative of t(n). What is the third derivative of l(y) wrt y?
96*y
Let o(c) be the third derivative of -c**5/3 - c**3 + 5*c**2. Let a(d) = 13*d**2 + 4. Let y(g) = -8*a(g) - 5*o(g). Find the first derivative of y(n) wrt n.
-8*n
Let h(m) = m**2 + 3*m**2 - 6*m + 4*m - 6 + m**3. Let o be h(-4). Differentiate -3 - o + 6 + 2*d with respect to d.
2
Differentiate -28*t**2 - 33 + 235*t - 235*t wrt t.
-56*t
Let k(m) be the first derivative of -m**4/2 + 12*m - 14. What is the derivative of k(g) wrt g?
-6*g**2
What is the second derivative of -h - 23*h**3 + 3*h + 63*h**3 - 28*h**3 wrt h?
72*h
Let x(v) = 23*v**3 + 2*v**2 - 4*v + 1. Let l(t) = -t**2 - t - 1. Let n(z) = l(z) + x(z). Find the second derivative of n(p) wrt p.
138*p + 2
Let i = 0 + -12. Let g(p) = -3*p**2 - 3*p. Let a(y) = y**2. Let l(o) = i*a(o) - 3*g(o). Find the second derivative of l(v) wrt v.
-6
Suppose -3*j + 9 = -3. Find the third derivative of j*x**3 + 6 - 3*x**2 - 4 - 2 wrt x.
24
Let t = 2 - 0. Differentiate -4*l**4 - 5 - t + 6 with respect to l.
-16*l**3
Let w(j) be the third derivative of 0*j**5 + 0*j**4 + 0*j - 2/3*j**3 + 0 - 2*j**2 + 1/120*j**6. What is the first derivative of w(y) wrt y?
3*y**2
Let o(c) = c - c**2 + 3*c - 14 + 14. Let j(m) = 3*m**2 - 12*m. Let b(l) = -6*j(l) - 17*o(l). What is the second derivative of b(d) wrt d?
-2
Suppose 13 = 5*w - 7. Differentiate -j**4 - 2 + 0 - 2*j**4 + 6*j**w wrt j.
12*j**3
Let x(u) be the first derivative of -u**7/280 - u**5/40 - u**3 - 2. Let a(d) be the third derivative of x(d). Find the second derivative of a(v) wrt v.
-18*v
Let h be 3/(-6) + (-7)/(-2). Find the third derivative of -o**5 - 15*o**3 + 4*o**2 + 15*o**h wrt o.
-60*o**2
Let y be 152/56 + 4/14. Differentiate 8*l**3 - 7 + 0*l**3 - l**3 - 2*l**y with respect to l.
15*l**2
Let z(u) be the second derivative of -u**6/180 - u**5/40 - u**3/3 + 3*u. Let l(h) be the second derivative of z(h). What is the second derivative of l(n) wrt n?
-4
Let d be 1/(-6*(-4)/6). Let y(c) be the first derivative of 0*c**3 - 1/2*c**2 - 1 - d*c**4 + 0*c. Find the second derivative of y(l) wrt l.
-6*l
Suppose -4*c = c - 130. Find the second derivative of -4*a - c + 26 - 5*a**5 wrt a.
-100*a**3
Let g(o) = 3 + 0 - 3*o**2 - 4 - 3. Let z(f) = -8*f**2 - 12. Let w(m) = -11*g(m) + 4*z(m). Differentiate w(b) with respect to b.
2*b
Let w(g) = -g**2 - 5*g. Let r(t) = t**2. Let v(x) = -6*r(x) - 2*w(x). Find the second derivative of v(i) wrt i.
-8
Find the second derivative of -6*b**4 + 5*b**4 + b - 4*b**4 wrt b.
-60*b**2
Let k(a) be the third derivative of 17*a**6/120 + 13*a**5/60 - 4*a**2. What is the third derivative of k(t) wrt t?
102
Let t be (-3 - -3 - -2)*3. What is the derivative of -t + 2 - 155*c**4 + 156*c**4 wrt c?
4*c**3
What is the third derivative of -4*k**5 + 280*k**3 - 276*k**3 - 67*k**2 + 0*k**5 wrt k?
-240*k**2 + 24
Let u(c) = 3*c + 3*c + c + 2 + c**2. Let q be u(-7). Differentiate -2 + q*r + 3*r - 4*r wrt r.
1
What is the second derivative of 3*o + 23*o**2 - 7*o**4 - 23*o**2 wrt o?
-84*o**2
Let r(s) be the second derivative of -s**6/720 + s**5/60 + s**4/12 - 3*s. Let q(p) be the third derivative of r(p). What is the first derivative of q(g) wrt g?
-1
Suppose 0*f - 4*f + 33 = -5*p, 2*f + 2*p = -6. Suppose 2*v + v + 6 = f*h, 2*v = -4*h + 12. What is the derivative of h*u + 4 + 2 - 5 wrt u?
3
Suppose 6 - 3 = s. Let y(u) = -3*u - 3. Let m(t) = -t**6 + t**2 + 4*t + 4. Let c(i) = s*m(i) + 4*y(i). What is the third derivative of c(o) wrt o?
-360*o**3
Let d(i) be the third derivative of 9*i**7/35 + i**5/60 + i**4/24 - 31*i**2. What is the third derivative of d(g) wrt g?
1296*g
Let v = 39 + -23. Let h be (v/(-20))/((-4)/10). Find the third derivative of -h*j**3 + j**2 + 12 - 12 wrt j.
-12
Let w(u) be the th
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{
"pile_set_name": "DM Mathematics"
}
|
3 + 0 + -9)/(-1). Suppose 0 = -27*u + 30*u + g. What is the smallest value in -1/4, 1/6, u, -2/105?
u
Let s be (-7 - -10) + 86/(-30). Let v = -5/4 - -11/4. Let n = 16214/3 - 5405. What is the third smallest value in n, v, s?
v
Let x = -5489 - -5509. What is the fourth smallest value in 5, 2, 30, x?
30
Suppose -7*f - 5 = -6*f. Let d(b) = -4*b**2 - 4*b - 11. Let k be d(f). Let o = k + 268/3. What is the second smallest value in -5, 3, o?
o
Let l = -1.2 - -1. Let f = -7009 - -28037/4. What is the fourth smallest value in l, 0.2, f, 0.1?
f
Let t = 0.14285 + -0.64285. Which is the second smallest value? (a) 0 (b) t (c) 29 (d) -0.9
b
Let i = -627 + 631.71. Let p = -5.71 + i. Which is the fourth biggest value? (a) -3 (b) -12 (c) 1 (d) p
b
Let x = -23 - -20. Let d be x + (9/6)/((-3)/(-6)). Let s be d + 4 - 19/5. What is the third biggest value in 4/5, -3, s?
-3
Let l = 480 - 186. Let x = l + -289. Which is the fourth biggest value? (a) -2/13 (b) 9 (c) x (d) -2
d
Let p(u) = 8*u - 133. Let l be p(15). Let f be (17/6 + -2)/(80/144). Let m = 3.7 + -0.7. What is the third smallest value in f, m, l?
m
Let d be (3/8)/((-6)/(-52)). Let k be 1845/585 - 4/26. Let a = k - d. What is the fourth smallest value in 2, 3, 1/2, a?
3
Let n = 3.765 + -3.565. What is the smallest value in 270, 2/17, n?
2/17
Let o = 94879/24145 - 216/55. Let y = -1749/3073 - o. Which is the third smallest value? (a) 0.4 (b) y (c) -5
a
Let d be 6/10*((-60)/(-3))/5. Which is the second smallest value? (a) 11 (b) d (c) -2
b
Let m(u) = -u**2 + 8*u + 17. Let x be m(-2). Let r be 174/36 - 5 - 1/x. Which is the third biggest value? (a) -9/7 (b) r (c) 2
a
Let v = 1089.4 - 1087.4. What is the third biggest value in -4, v, -0.31, -1/7?
-0.31
Let i = -0.48689 + -0.01311. Let p = 1 - 2. Let u = 1 + -0.9. What is the third smallest value in u, p, i, -10?
i
Let z = 17.04 - 13.431. Let l = z - -0.391. Let o = 167/45 + -18/5. What is the biggest value in o, -0.2, -4, l?
l
Let r = -109036/43 - -2536. What is the third smallest value in -1/6, r, -4?
r
Let y = -0.32851 - -0.02851. What is the fourth biggest value in -4, -0.4, y, -192/5?
-192/5
Let i = 206.4 - -28.6. Let c = i + -235. What is the biggest value in 1, c, -0.01?
1
Suppose -10*s + 170 = 24*s. Let x be 34/10 + (6 - 9). Which is the second smallest value? (a) s (b) 4/3 (c) x
b
Let t = -83 - -88.13. Let g = t + -0.13. Let u(i) = 674*i + 678. Let j be u(-1). Which is the third smallest value? (a) j (b) g (c) -4
b
Let r be (8 + -10)*(42/(-105))/((-8)/10). Let f be (3/(-6))/(1/4). What is the second smallest value in 3, f, r, -10/3?
f
Let y = 2/3 + -13/15. Let n = -1056 - -1059. Which is the smallest value? (a) n (b) y (c) 0
b
Let l = 19851.3 - 19851. What is the second smallest value in l, 0.2, -2, 4?
0.2
Let q = 1808 - 1807.6. What is the fourth biggest value in -0.3, 1/3, q, -1, 2/17?
-0.3
Suppose 543 = -16*l + 95. Let x be (1*l/(-21))/(40/(-12)). What is the second smallest value in 0.03, 1/2, x?
0.03
Let t = 5750 + -5750.5. What is the biggest value in -2, -0.92, 5, t, -0.2?
5
Let p(m) = 577*m + 31. Let b be p(2). Let z be (b/(-316))/(6/(-40)). What is the third biggest value in -3, 3/4, z?
-3
Let l = 12.8 + -5.8. Let c = -15.72 - -16. Let w = c + 0.12. What is the biggest value in -0.4, l, 2/9, w?
l
Let a = -2487.1151 - -2487. Let u = 0.0151 + a. Let n be (-2)/6*(-18)/16. What is the fourth biggest value in n, u, 3, -0.5?
-0.5
Let p = -32 - -38. Suppose -t = -p*t. Let y be (-2)/(-2 + t - -3)*1. Which is the fourth biggest value? (a) 4 (b) y (c) 3/4 (d) 2/11
b
Let h = -3 + 3.2. Let o = 96.684 - 97.684. Let u = 502 + -6522/13. What is the biggest value in h, o, 2/7, u?
u
Let v be (-314)/612 + 7/14. Let o = 163/765 + v. Let x = 200 + -1006/5. What is the second smallest value in 0, x, o?
0
Let h = 6598.5 + -6598. What is the smallest value in -5, -126, h, -2/11?
-126
Let s = -51 - -23. Let m = s - -34. Let x = 2306 + -2301. Which is the biggest value? (a) x (b) m (c) -1/4
b
Let v = 1.5289 + -1.807. Let f = -0.0219 + v. What is the smallest value in -4, -56, f?
-56
Let w = -252.7 - -249.7. What is the smallest value in w, -1, 9/4?
w
Let w = -3188.2 - -3187. Which is the smallest value? (a) 1 (b) -1/4 (c) -1/33 (d) w
d
Let t be (0 + 0)*(2 - 3). Let w(v) = -v**3 - 9*v**2 + 10*v - 5. Let r = -95 - -85. Let d be w(r). Which is the smallest value? (a) 0.4 (b) d (c) t
b
Let m = -426 - -296. Let b = m - -132. Suppose 39 = 3*h + 3. What is the biggest value in -0.3, h, -1/5, b?
h
Let x(c) = 107*c - 321. Let m be x(3). What is the second biggest value in 1, m, 0.4, 0.7?
0.7
Suppose -52 - 40 = 23*d. Let v = 76.3 + -76. What is the smallest value in d, v, 3, -56?
-56
Let h = 534.1 - 531.1. Which is the smallest value? (a) 1/4 (b) -1 (c) 1 (d) -0.5 (e) h
b
Let w be (-315)/213*340/(-1190). Which is the second smallest value? (a) w (b) 1 (c) 4/3
b
Let r = 302.8 + 68.2. Let k = 371.2 - r. What is the fourth biggest value in -3, -0.06, k, -2?
-3
Let f = 6591/28 + -1646/7. Which is the third biggest value? (a) f (b) 5 (c) -2 (d) -2/251
d
Let o = -23 - -7. Let n = o + 12. Suppose -67 = 4*z + 9. Which is the second biggest value? (a) n (b) -0.3 (c) z
a
Let p = 18 - 57. Let o = p + 69. Let i = o - 34. Which is the smallest value? (a) i (b) -0.3 (c) 2/13
a
Let i = 27424 - 136646/5. Let q = i + -95. Which is the fourth biggest value? (a) q (b) -2 (c) 1 (d) 0.3
b
Let c = 0 - 67. Let p = -60 - c. Let w = 0.01 - -1.99. What is the second smallest value in p, 0.4, w?
w
Let m = 250 - 249.798. Let h = 6.202 - m. Let y = -29/95 + 2/19. What is the biggest value in -5, y, h?
h
Suppose 5*w + 3 = 33. Suppose 3*r = -h - 140, 0 = -4*r + 21*h - 16*h - 155. Let f be (8/(-12))/(w/r). Which is the biggest value? (a) -4 (b) f (c) 0 (d) 4
b
Let p = 14 + -15. Let y = -136 + 137. Let c = 19/4 + -53/12. What is the fourth biggest value in c, p, y, 5?
p
Let p = -9477 + 9477.03. Which is the second smallest value? (a) 1 (b) 0.15 (c) 6/7 (d) p
b
Let z = 1720 - 29242/17. Which is the biggest value? (a) 1/4 (b) z (c) 3/11
c
Let h = 43188 + -43016. Which is the second biggest value? (a) 1/13 (b) h (c) -4/7 (d) -5
a
Let o(y) = -14*y + 655. Let q be o(47). What is the smallest value in 0.1, q, 2/3, -5?
-5
Let o = -0.0446 + 6.0446. Let g = -22.9 + 23. Which is the second smallest value? (a) -0.5 (b) 4 (c) o (d) g
d
Let i be (-20)/8*(-20)/125. Let w be 12/18*-3 - (-24)/11. What is the second biggest value in 2.6, i, w?
i
Let j = -3364 - -30274/9. Which is the third smallest value? (a) 2/7 (b) 17 (c) j (d) -3/5 (e) -0.4
c
Let p be ((-40)/50)/((-32)/8). What is the third biggest value in p, 66, 0, 5?
p
Suppose -4*m + 19 = 3*o, -6*o - 6*m = -4*o - 26. Which is the fourth biggest value? (a) -61 (b) o (c) -0.3 (d) -9
a
Let q = -58/157 - -979/3925. Which is the smallest value? (a) 1/5 (b) 3 (c) -4 (d) q
c
Let q = -7.7 - -8. Let r = 5748.6 + -5749. Which is the second biggest value? (a) -0.09 (b) q (c) r
a
Let k = 639 - 204. Let l = -434.9 + k. Which is the second biggest value? (a) l (b) -46 (c) -1/6
c
Let z = -11645.9 - -11632.9. Let p = 0.04 + -0.04. Which is the third biggest value? (a) 1/8 (b) p (c) z (d) 5
b
Let o be (-2 + 1)*(-63)/3402*3/(-2). What is the fourth smallest value in -2/7, o, 4/5, -0.1, -5?
o
Let w be ((-4)/3 - -1)/((-14)/8414). Let a = 199 - w. What is the third smallest value in -0.4, -3/4, 5, a?
-0.4
Let v = -419 + 325. Let i = v - -95. What is the third smallest value in i, -2/17, -3, 2?
i
Let x = 0.8 - 0.3. Let d = 0.07 - 0.57. Suppose -15*i = 78*i + 12*i + 420. Which is the third biggest value? (a) d (b) i (c) x
b
Let y be 3720/20088*(-3)/5. Suppose 5*p + 2*l - 1 = 0, 0 = -4*l + 11 + 1. What is the second biggest value in p, -0.3, y, 0.045?
y
Let d be ((-2)/(-33))/(70/(-210)). Suppose 0 = 4*f + 3*k - k + 170, 4*f + 5*k = -173. Which is the second biggest value? (a) 0.2 (b) d (c) f
b
Let r = -0.068 + 0.113. Let y = -4.955 - r. Which is the third smallest value? (a) y (b) -23/4 (c) -2
c
Suppose 2*i - 11 = -3*n, 3*n - 3*i - 5 = i. Let k = 54539 + -54538.7. What is the third smallest value in k, -32, n?
n
Let o = 474 - 473.4. Which is the fourth biggest value? (a) 3
|
{
"pile_set_name": "DM Mathematics"
}
|
, d: 6}. Give prob of sequence vs.
1/66
What is prob of sequence qqq when three letters picked without replacement from xqxqqxxqqxxxqxxqqxq?
28/323
Three letters picked without replacement from enneneee. What is prob of sequence enn?
5/56
Two letters picked without replacement from ppxpaapxxpapa. Give prob of sequence ap.
2/13
Four letters picked without replacement from zuuzuzuuuuuuuu. Give prob of sequence uuuz.
45/364
Calculate prob of sequence gzi when three letters picked without replacement from bagabzaabbbggiig.
1/420
What is prob of sequence gg when two letters picked without replacement from pgggppggpgg?
21/55
Calculate prob of sequence kdg when three letters picked without replacement from sdbbcbkkksbbkgs.
2/1365
Two letters picked without replacement from llalllslsl. Give prob of sequence as.
1/45
Two letters picked without replacement from ihriiiiiiiriiiqh. Give prob of sequence hq.
1/120
What is prob of sequence oqq when three letters picked without replacement from ddwqodowq?
1/126
What is prob of sequence ppp when three letters picked without replacement from ppppppp?
1
What is prob of sequence cwp when three letters picked without replacement from ycypawcyywyw?
1/220
Three letters picked without replacement from qqktzcctztkqtsk. What is prob of sequence zzt?
4/1365
Calculate prob of sequence iit when three letters picked without replacement from ulultiiiiuuuuuuuumu.
2/969
Two letters picked without replacement from {t: 4, o: 1, i: 3, c: 10, v: 1}. What is prob of sequence ct?
20/171
Two letters picked without replacement from fqm. What is prob of sequence qf?
1/6
Calculate prob of sequence ukku when four letters picked without replacement from {k: 3, u: 12}.
11/455
Four letters picked without replacement from {m: 5, j: 9}. What is prob of sequence jmmj?
60/1001
Four letters picked without replacement from {t: 4, i: 14}. What is prob of sequence tiii?
91/765
What is prob of sequence occ when three letters picked without replacement from {c: 4, o: 8, e: 2}?
4/91
What is prob of sequence vvvv when four letters picked without replacement from {s: 1, y: 4, e: 7, v: 1}?
0
What is prob of sequence gog when three letters picked without replacement from gogggo?
1/5
Calculate prob of sequence kka when three letters picked without replacement from {a: 9, k: 2}.
1/55
Calculate prob of sequence uqq when three letters picked without replacement from uqqqqu.
1/5
Two letters picked without replacement from uuuuuuaaauu. Give prob of sequence aa.
3/55
Two letters picked without replacement from nnnnkknknnkknnnnnn. Give prob of sequence kn.
65/306
What is prob of sequence zb when two letters picked without replacement from ukzcubcuxccuukc?
1/210
What is prob of sequence clww when four letters picked without replacement from {c: 3, l: 1, o: 2, a: 1, w: 5, y: 1}?
1/286
Two letters picked without replacement from oleel. What is prob of sequence ee?
1/10
What is prob of sequence ghrs when four letters picked without replacement from grpsrsshppgopgspggs?
25/46512
Four letters picked without replacement from itititiiiii. What is prob of sequence itti?
7/165
Calculate prob of sequence ulul when four letters picked without replacement from ddduullduddduu.
5/3003
What is prob of sequence rr when two letters picked without replacement from rkprkpkpppkkkkpkpkp?
1/171
What is prob of sequence dv when two letters picked without replacement from dzznv?
1/20
Two letters picked without replacement from {o: 1, h: 3, p: 6, k: 3, f: 1}. Give prob of sequence fh.
3/182
Calculate prob of sequence yfu when three letters picked without replacement from {c: 3, f: 3, y: 1, u: 2, o: 10}.
1/969
What is prob of sequence fdv when three letters picked without replacement from dfvvndnffvfff?
3/143
Two letters picked without replacement from gtoqwhgq. What is prob of sequence qg?
1/14
What is prob of sequence kh when two letters picked without replacement from hkkk?
1/4
Two letters picked without replacement from rierroeiowole. What is prob of sequence ew?
1/52
Calculate prob of sequence cjc when three letters picked without replacement from {j: 4, c: 16}.
8/57
Two letters picked without replacement from {r: 2, s: 1, t: 1, n: 2, x: 7, p: 1}. What is prob of sequence xn?
1/13
Calculate prob of sequence vnn when three letters picked without replacement from znvknk.
1/60
Two letters picked without replacement from {q: 13, p: 6}. Give prob of sequence pp.
5/57
Three letters picked without replacement from jiojojjjoo. Give prob of sequence jio.
1/36
What is prob of sequence in when two letters picked without replacement from {i: 2, n: 5, c: 12}?
5/171
Four letters picked without replacement from caagcgaccsrggaagc. Give prob of sequence garg.
5/2856
What is prob of sequence vdn when three letters picked without replacement from {g: 1, q: 3, n: 1, d: 1, v: 6, h: 1}?
1/286
Three letters picked without replacement from {d: 1, r: 3, q: 2, o: 1}. Give prob of sequence rdq.
1/35
Three letters picked without replacement from {c: 6, m: 13}. Give prob of sequence cmc.
65/969
Calculate prob of sequence zzd when three letters picked without replacement from zzdzkddzdzzze.
14/143
What is prob of sequence pv when two letters picked without replacement from vppvpppppvp?
12/55
What is prob of sequence evx when three letters picked without replacement from {v: 3, x: 1, e: 1}?
1/20
Three letters picked without replacement from xigqiqqq. What is prob of sequence xgq?
1/84
What is prob of sequence tet when three letters picked without replacement from cttcdcecjaettcctc?
1/102
What is prob of sequence uq when two letters picked without replacement from {x: 1, v: 3, q: 3, y: 1, l: 1, u: 2}?
3/55
What is prob of sequence jjii when four letters picked without replacement from ijiijjijji?
5/63
What is prob of sequence bbb when three letters picked without replacement from bjbjbbj?
4/35
What is prob of sequence khk when three letters picked without replacement from {k: 2, h: 4}?
1/15
Calculate prob of sequence mc when two letters picked without replacement from {g: 1, i: 1, c: 3, t: 5, o: 4, m: 6}.
9/190
What is prob of sequence ss when two letters picked without replacement from gsssgsgggsgggg?
10/91
What is prob of sequence css when three letters picked without replacement from {c: 1, s: 2, f: 2}?
1/30
Calculate prob of sequence eye when three letters picked without replacement from fozeybfezyey.
3/220
What is prob of sequence aaa when three letters picked without replacement from {a: 3}?
1
Three letters picked without replacement from {a: 1, c: 4, i: 3, v: 6, y: 2, d: 3}. What is prob of sequence ddv?
2/323
Calculate prob of sequence kj when two letters picked without replacement from {j: 10, k: 2}.
5/33
Calculate prob of sequence sb when two letters picked without replacement from {g: 1, h: 1, s: 1, n: 1, b: 1}.
1/20
Three letters picked without replacement from {n: 5, x: 2}. What is prob of sequence xnx?
1/21
Two letters picked without replacement from {v: 2, k: 1, s: 4}. What is prob of sequence kv?
1/21
Two letters picked without replacement from jkeexqj. Give prob of sequence ek.
1/21
Calculate prob of sequence bbg when three letters picked without replacement from bbggbgbbggbbbgbbbbb.
52/323
What is prob of sequence ssxx when four letters picked without replacement from {u: 3, s: 2, x: 8, d: 1, m: 1, v: 1}?
1/390
Calculate prob of sequence ooo when three letters picked without replacement from {o: 6}.
1
Four letters picked without replacement from {z: 2, j: 9, g: 3, s: 4}. What is prob of sequence jjgs?
1/85
Three letters picked without replacement from cufcaauaccnunaannacn. Give prob of sequence aca.
5/228
Two letters picked without replacement from {c: 1, m: 2, p: 1, q: 2, t: 1, h: 1}. What is prob of sequence pm?
1/28
What is prob of sequence nx when two letters picked without replacement from {s: 2, d: 3, t: 1, n: 1, v: 3, x: 1}?
1/110
Three letters picked without replacement from bhkzbbbnhbbbnbbbn. Give prob of sequence bbz.
3/136
What is prob of sequence pp when two letters picked without replacement from vpvvqcvcccvcpvvqvvvv?
1/190
Two letters picked without replacement from cwocoowwgoooco. What is prob of sequence gw?
3/182
Three letters picked without replacement from {l: 2, h: 15, o:
|
{
"pile_set_name": "DM Mathematics"
}
|
- -4?
-13324532013
In base 9, what is 5 - -181806?
181812
In base 2, what is 1 + -111000000000101000101?
-111000000000101000100
In base 7, what is 11645 - 24552?
-12604
In base 5, what is 122 + -411312?
-411140
In base 14, what is 1355b2177 + 4?
1355b217b
In base 16, what is -3fca54d - -10?
-3fca53d
In base 13, what is 1973b2 + -c0?
1972c2
In base 13, what is -4 + -4780c2?
-4780c6
In base 16, what is b + -79e8e?
-79e83
In base 8, what is -334340010 - -1?
-334340007
In base 4, what is -11 + -21330211102301?
-21330211102312
In base 6, what is -100 + -1250412?
-1250512
In base 3, what is 20120001100 - 1110?
20112222220
In base 9, what is 0 - 65515782?
-65515782
In base 14, what is 826 - 7d?
787
In base 7, what is -2 - 55442635?
-55442640
In base 15, what is -17 + -62651?
-62668
In base 2, what is -1100010000 - -1000100010110011?
1000010110100011
In base 6, what is 3153 - 32111?
-24514
In base 3, what is 21021122222 - -22100?
21021222022
In base 7, what is 3544 + -33461?
-26614
In base 7, what is 2653 - -164123?
200106
In base 4, what is 132120003331 - 211?
132120003120
In base 16, what is -e0d9 + -4?
-e0dd
In base 5, what is 3 - 11110133221?
-11110133213
In base 6, what is 1334325 - 141?
1334144
In base 8, what is -600 + 336454?
335654
In base 9, what is 4162366 - 5?
4162361
In base 12, what is -4019 + -49373?
-51390
In base 13, what is -8 + 8548a?
85482
In base 14, what is -2057 - 19cc?
-3a45
In base 11, what is -962 - a72?
-1924
In base 9, what is -6248 + -11586?
-17845
In base 11, what is -3 + 2148407?
2148404
In base 10, what is -34959 - 2072?
-37031
In base 9, what is -3 - 5777434?
-5777437
In base 6, what is -410 - -215015?
214205
In base 8, what is 373046 + 56?
373124
In base 5, what is 3301221341 + 2?
3301221343
In base 9, what is -32 - 15101488?
-15101531
In base 10, what is -8 - -2183650?
2183642
In base 6, what is 10052 - -1113334?
1123430
In base 16, what is 4e3 - -202fb?
207de
In base 2, what is -100000 + -1110010011001011101?
-1110010011001111101
In base 4, what is 2 - -200301000331?
200301000333
In base 4, what is -1 + 330332113213?
330332113212
In base 12, what is -14b5a5 + 5b?
-14b546
In base 5, what is 11123403 + 112?
11124020
In base 14, what is 1ab0 + -397c5?
-37b15
In base 6, what is 143 - 2432343?
-2432200
In base 6, what is -10 + -3045021454?
-3045021504
In base 11, what is 39475066 + 3?
39475069
In base 8, what is 143033 - -72?
143125
In base 3, what is -2100011112201011 - -21?
-2100011112200220
In base 9, what is 1226355872 + 2?
1226355874
In base 6, what is -3523303 + -34?
-3523341
In base 6, what is 433030001 - 1?
433030000
In base 14, what is -3 - 258a6?
-258a9
In base 10, what is -566190391 - -4?
-566190387
In base 13, what is 13604 - -19a?
137a1
In base 4, what is -11 - -20102022103202?
20102022103131
In base 11, what is -4 + 27a6724?
27a6720
In base 9, what is -104034 + -157?
-104202
In base 2, what is 101 + -110001101000010111100000111?
-110001101000010111100000010
In base 8, what is -25037 - -2417?
-22420
In base 12, what is 1a54977a + -3?
1a549777
In base 14, what is 240 + 55542?
55782
In base 3, what is -2212012110202222 - 11?
-2212012110210010
In base 12, what is 6 + -199513b?
-1995135
In base 5, what is -33 + -1124110434?
-1124111022
In base 9, what is 74 - -15360460?
15360544
In base 3, what is -12 + -21012222102221?
-21012222110010
In base 4, what is -102 - -2001223?
2001121
In base 7, what is 1 + 126411560?
126411561
In base 8, what is -2142 - -5467?
3325
In base 7, what is 35312231 - -2?
35312233
In base 15, what is -674 - 20b6?
-273a
In base 15, what is -beab8 - -1e?
-bea99
In base 6, what is -25231551434 + -4?
-25231551442
In base 12, what is -3 + -86a3a1?
-86a3a4
In base 2, what is -10100 - -10100000010011111?
10100000010001011
In base 15, what is 6079 + 49d?
6527
In base 15, what is 5 - 7815ee?
-7815e9
In base 16, what is 3 - -34ccfae?
34ccfb1
In base 2, what is -100 - -11110000001111111011010?
11110000001111111010110
In base 14, what is -33b8c24 - -5?
-33b8c1d
In base 10, what is 3 + -6891620?
-6891617
In base 11, what is -41616236 + 5?
-41616231
In base 11, what is -24 - 1657190?
-1657204
In base 15, what is 904019b - 1?
904019a
In base 14, what is 1 - -517859?
51785a
In base 8, what is 24706311 - 5?
24706304
In base 16, what is -825d13 - -5?
-825d0e
In base 16, what is 4 - 10b97?
-10b93
In base 15, what is -2459c9aa + 3?
-2459c9a7
In base 4, what is 1020 - -11013303311?
11013310331
In base 15, what is -2bbc83 - 5?
-2bbc88
In base 9, what is -8617233 - -1?
-8617232
In base 5, what is -10332341 - 44220?
-10432111
In base 14, what is 1 + -4470bad?
-4470bac
In base 2, what is 11111111110000111 - -1111111?
100000000000000110
In base 16, what is 344192a - 2?
3441928
In base 15, what is e17 + 617?
152e
In base 5, what is -1 + -133004423224?
-133004423230
In base 8, what is -12 - 10240010?
-10240022
In base 3, what is -211102 + -22220012?
-100201121
In base 4, what is 200223 - -20330031?
21130320
In base 10, what is 2 + 336618?
336620
In base 13, what is 14 - 11758?
-11744
In base 2, what is 1010100001001 - 10111000?
1010001010001
In base 15, what is 14 - -665a9?
665bd
In base 15, what is -1d - -404c?
402e
In base 13, what is 1927 - -46992?
485b9
In base 14, what is 9c3 + 1c2b0?
1cc93
In base 13, what is 0 + 26ca8c?
26ca8c
In base 12, what is -37 + 1459814?
1459799
In base 16, what is -5 + 4cc105?
4cc100
In base 8, what is 5 - 126074655?
-126074650
In base 5, what is -3342 - 430442?
-434334
In base 10, what is -12 - -1226920?
1226908
In base 14, what is 7ac - -509?
cb7
In base 9, what is -77066130 + 0?
-77066130
In base 3, what is -1111 - -11201211010?
11201202122
In base 16, what is 2278 + -a2c0?
-8048
In base 2, what is 1101100101110010100111 - -1?
1101100101110010101000
In base 10, what is -32115183 + 4?
-32115179
In base 8, what is 5 + 111112?
111117
In base 6, what is 1032003411 - 3?
1032003404
In base 8, what is 6651 - -334546?
343417
In base 9, what is 481 - -11385?
11876
In base 5, what is 4020 + -210322440?
-210313420
In base 11, what is -6646 - -959?
-5798
In base 12, what is -512bb7 + -29?
-513024
In base 14, what is -49 + -14dcc?
-15037
In base 11, what is -1191709 - a?
-1191718
In base 15, what is 5 + 9eae2?
9eae7
In base 16, what is -33a16 + -24?
-33a3a
In base 4, what is 100 - -1220130122013?
1220130122113
In base 13, what is 14 + -432a5?
-43291
In base 6, what is -10311 - 1021210?
-1031521
In base 8, what is 35733 + -35626?
105
In base 2, what is 11010011010100111011011110110 + -100?
11010011010100111011011110010
In base 11, what is 2748 - 17723?
-14a86
In base 5, what is 1101 + 12241003?
12242104
In base 13, what is -213 + -b2?
-2c5
In base 14, what is 5c5920 + 14?
5c5934
In base 8, what is -50461 - -176?
-50263
In base 11, what is -219aa6 - -1?
-219aa5
In base 5, what is 1203322114000 - -3?
1203322114003
In base 8, what is 665407 + -25?
665362
In base 8, what is 301612 + 2024?
303636
In base 11, what is -5 - -9a640341?
9a640337
In base 11, what is 191911 - 14?
1918a8
In base 3, what is 1 - -11212101112221?
11212101112222
In base 7, what is -1304 - 2615566?
-2620203
In base 7, what is -235264356 - 0?
-235264356
In base 3, what is 1001 - 2002222?
-2001221
In base 4, what is 3 - -31023312?
31023321
In base 16, what is 1f - -59f9?
5a18
In base 9, what is 20646 - -1478?
22235
In base 7, what is 50 - 4015041?
-4014661
In base 4, what is 302 + 23121303210?
23121310112
In base 6, what is 4 + -3344103445?
-3344103441
In base 13, what is -106279a + -a?
-10627a7
In base 16, what is 1b629b - -19?
1b62b4
In base 15, what is 6a1 - -48e6?
5097
In base 16, what is 368ad6 - 7?
368acf
In base 10, what is -8429430 + 4?
-8429426
In base 16, what is 3578e1d + 3?
3578e20
In base 6, what is -1503454202 - 1?
-1503454203
In base 5, what is -2202314322 - -3?
-2202314314
In base 14, what is -807 + -2a07?
-3410
In base 12, what is -7b511 + 20?
-7b4b1
In base 2, what is -1001100 + -10010111110110?
-10011001000010
In base 16, what is eb0deb - 12?
eb0dd9
In base 12, what is -290 - 32502?
-32792
In base 13, what is -33 + 1156a?
11537
In base 14, what is -b94 - -b8b80?
b7dca
In base 7, what is -4233 - -1011?
-3222
In base 13, what is -22a0 - 4075?
-6345
In base 8, what is -3 - -16453071?
16453066
In base 16, what is
|
{
"pile_set_name": "DM Mathematics"
}
|
w(v) = 42*v + 42. Let u(s) = -18*a(s) + 5*w(s). What is the first derivative of u(r) wrt r?
-6
Suppose -z + i = 0, -5*z = -2*i + 4*i. Let t(d) be the first derivative of z*d**2 + 1/4*d**4 - 1 + 0*d**3 + 2*d. Differentiate t(f) wrt f.
3*f**2
Find the second derivative of -11*v**2 - 5*v - v + 3*v + 6*v**2 wrt v.
-10
Let q(v) be the first derivative of 0*v + 0*v**4 + 0*v**3 + 3/2*v**2 - 5 + 1/6*v**6 + 0*v**5. What is the second derivative of q(g) wrt g?
20*g**3
Find the third derivative of 4*u**4 - 9*u**2 + 2*u**2 + 10*u**4 - 4*u**4 wrt u.
240*u
Suppose 0 = 4*y - 0*y - 24. Let s(z) = z - 10. Let q be s(12). Differentiate -2 - y + 3*t**q + 11 with respect to t.
6*t
Let d(o) be the third derivative of 7*o**6/120 + o**5/15 + 3*o**2. What is the third derivative of d(b) wrt b?
42
Let a be 16/(-56) - 16/(-7). Let p(h) = -h**3 + 5*h**2 + 8*h - 9. Let q be p(6). Find the first derivative of -r + a + 0*r - q*r wrt r.
-4
Let u be 5*(-3)/(15/(-2)). Suppose -u*f + 6*f = 0. Find the second derivative of -11*i + f*i**3 + 2*i**3 + 9*i wrt i.
12*i
What is the second derivative of 12*x - 10*x**2 + x - 13*x**2 + 52*x**2 wrt x?
58
Let q(f) be the third derivative of f**8/28 + f**4/3 - 19*f**2. Find the second derivative of q(y) wrt y.
240*y**3
Let f = 27 + -12. Let v = f + -9. Find the second derivative of -y + 2*y + 2*y**4 + 3*y - v*y wrt y.
24*y**2
Let u be 5/2*(-42)/(-35). Find the third derivative of -2*t + 3*t**3 + 2*t - 5*t**3 - u*t**2 wrt t.
-12
What is the first derivative of 1452*i**4 - 1484*i**4 + 34 + 0*i**2 + 0*i**2 wrt i?
-128*i**3
Differentiate -9 + 5*d**2 + 6*d**2 - 5 + 1 with respect to d.
22*d
Let f(v) be the first derivative of v**5/60 - v**4/8 - v**3 - 2. Let n(m) be the third derivative of f(m). Differentiate n(b) with respect to b.
2
Suppose 2*z = 3*z - v - 7, -2*z + 14 = -v. Let c = 10 - z. Find the second derivative of -2*y**3 + 0*y**3 + 4*y**4 + 2*y**c + 2*y wrt y.
48*y**2
Suppose -7*r + 5 = -5*u - 2*r, -2*u - 2*r - 10 = 0. Let w(f) = 6*f + 2. Let k(b) = -b + 1. Let v(t) = u*k(t) + w(t). What is the derivative of v(m) wrt m?
9
Let t(a) = -a**3 + a. Let m be t(1). Suppose -4*p + 11 + 1 = m. What is the second derivative of 0*k + p*k**4 + k - k**4 wrt k?
24*k**2
Let d(x) = x. Let b(t) = -10*t**2 - 14*t. Let f(m) = b(m) - 4*d(m). What is the second derivative of f(i) wrt i?
-20
What is the third derivative of 4*x**2 - 7*x**4 + 14*x**4 - 5*x**2 wrt x?
168*x
Let s(b) be the first derivative of b**3 + 9*b**2/2 - 5. Find the second derivative of s(i) wrt i.
6
Let h be 6/(-12) - 7/(-2). Let w(o) be the first derivative of -2 - 3*o + 0*o**h - 2/5*o**5 + 0*o**2 + 0*o**4. Differentiate w(u) wrt u.
-8*u**3
Let f be 5 + 0 - (0 + 3). Let i(a) = -7 + 6*a + 2*a**2 - f + 0. Let s(j) = 3*j**2 + 7*j - 10. Let p(q) = 7*i(q) - 6*s(q). Differentiate p(d) wrt d.
-8*d
Find the third derivative of 8*t**2 - 5*t**2 + t**6 + 7*t**6 wrt t.
960*t**3
Differentiate 12 + 2*s**4 - 2 + 6*s**4 - 19*s**4 with respect to s.
-44*s**3
What is the second derivative of 3*u + 9*u**2 - 3*u**2 - 9*u**5 - 6*u**2 wrt u?
-180*u**3
Let y(n) = 5*n**2 - n - 1. Suppose -4*v - 3 = 1. Let t be y(v). What is the second derivative of 0*q**3 + 0*q**3 + q**t - 2*q wrt q?
20*q**3
Find the second derivative of 8*w - w**5 - 10*w - 15*w**5 + 4*w wrt w.
-320*w**3
Suppose 0*p + 18 = 3*p + 2*v, 4 = 4*p - 4*v. Let b(t) be the first derivative of 0*t - 2/3*t**3 - 2 + t**p + 0*t**2. What is the third derivative of b(i) wrt i?
24
Let b = -5 + 6. Differentiate b - p**3 + 0*p**3 + 3*p**3 - 3*p**3 with respect to p.
-3*p**2
Let a(k) be the third derivative of 0*k**6 + 1/4*k**4 + 5*k**2 + 0*k**5 + 0*k - 1/30*k**7 + 0*k**3 + 0. Find the second derivative of a(b) wrt b.
-84*b**2
Let m(n) = -3*n - 2. Let r(h) = h**2 + 2*h + 1. Let w be (-1)/(1/(1 + 2)). Let y(u) = w*r(u) - 2*m(u). What is the derivative of y(z) wrt z?
-6*z
Find the second derivative of -64*r**3 - 18*r + 60*r - 30*r**3 + 29*r**3 wrt r.
-390*r
Let y(j) be the second derivative of j**6/30 - 7*j**2 + 6*j. Find the first derivative of y(i) wrt i.
4*i**3
Let q(n) = -n - 3. Let k be q(-5). Let d = k - 0. What is the third derivative of -2*h**5 + h**2 + h**d + 0*h**2 wrt h?
-120*h**2
Let c(f) = -f**3 - 2*f**2 + 4*f - 1. Let x be c(-4). Differentiate -13*v**4 - 3 + x*v**4 + 2 wrt v.
8*v**3
Let g(n) be the third derivative of -13*n**9/504 - 13*n**5/30 - 15*n**2. What is the third derivative of g(p) wrt p?
-1560*p**3
Suppose -5 = -z - 2*l, -7 + 2 = -z - l. Suppose z*p - 8 = 27. Find the second derivative of s**5 - 7*s**2 + p*s**2 + s wrt s.
20*s**3
Find the second derivative of -2*j**5 + 4*j**5 + 2*j**5 - 7*j**5 - 8*j wrt j.
-60*j**3
Let y(w) be the third derivative of w**9/168 - w**5/5 - 24*w**2. What is the third derivative of y(i) wrt i?
360*i**3
Let l(c) = 4*c + 5. Let r(i) = -4*i - 5. Let y(q) = 7*l(q) + 6*r(q). Let d(x) = x + 1. Let u(w) = -6*d(w) + y(w). Differentiate u(z) wrt z.
-2
Let v(y) be the first derivative of 2*y**7/105 - y**3/6 - y**2/2 - 8. Let n(h) be the second derivative of v(h). What is the derivative of n(f) wrt f?
16*f**3
Let u = 182 + -4367/24. Let j(p) be the third derivative of 0*p - 1/60*p**5 - u*p**4 + 0 + 0*p**3 + p**2. What is the second derivative of j(f) wrt f?
-2
Let f(z) be the second derivative of z**7/14 + 29*z**4/12 - 19*z. What is the third derivative of f(c) wrt c?
180*c**2
Let i(w) be the second derivative of -2*w**3/3 - 5*w**2/2 - w. Differentiate i(k) wrt k.
-4
Suppose -4*g - 5*p + 22 = 0, 4*g + 2 = -2*p + 18. What is the second derivative of 2*j**4 + 4*j**4 - 3*j - g*j**4 wrt j?
36*j**2
Let w(f) = f**2 - 8*f. Let b be w(8). Let z be (4 + -4)*2/4. What is the first derivative of 1 + b + 4*y**4 + z wrt y?
16*y**3
Let d(i) be the first derivative of -3*i**5/5 + 26*i**3/3 - 15. What is the third derivative of d(y) wrt y?
-72*y
Find the second derivative of 16*u**3 - 4*u + 8*u - 8*u wrt u.
96*u
Let p(n) be the third derivative of n**5/30 - n**4/3 - 10*n**3 - 60*n**2. Differentiate p(f) with respect to f.
4*f - 8
Find the third derivative of 20*c**2 + 9*c**3 - 11*c**2 + 9*c**3 - 11*c**2 wrt c.
108
Differentiate -16*f + 22*f + 4*f - 28 wrt f.
10
Suppose -3*p + 29 = -13. Find the third derivative of 0*l**2 + 2*l**5 + 14 - 5*l**2 - p wrt l.
120*l**2
Let l(m) be the second derivative of -m**7/105 - m**5/30 + 3*m**2/2 - 3*m. Let r(c) be the first derivative of l(c). Find the third derivative of r(o) wrt o.
-48*o
Let n(a) = -a - 9. Let r be n(-9). Let u(w) be the third derivative of 3*w**2 - 1/6*w**3 + 1/60*w**5 + 0*w + r + 0*w**4. Differentiate u(x) wrt x.
2*x
Suppose -2*y = a + 5 - 34, -28 = -2*y - 2*a. Suppose 5*w - 3*o - y = 15, 0 = -w + o + 8. Find the third derivative of -4*b**4 - w*b**2 + 5*b**4 + b**2 wrt b.
24*b
Let f(s) = -3*s + 6 + 0*s - 3 - s. Let r(b) = 5*b - 1. Let l be r(-1). Let g(t) = -5*t + 3. Let q(i) = l*f(i) + 5*g(i). What is the derivative of q(u) wrt u?
-1
Let t(h) = 1. Let u(m) = -11*m**3 + m**2 - 3. Let s(i) = -3*t(i) - u(i). Find the third derivative of s(c) wrt c.
66
Let f be (-2)/(-7) - (0 + (-6)/(-21)). Let s(o) be the second derivative of -o**2 + 3/20*o**5 + 0*o**3 + o + f + 0*o**4. Differentiate s(j) with respect to j.
9*j**2
Let r(s) = -1. Let f(d) = 2*d**2. Let j = -1 - 0. Let n(u) = j*r(u) - f(u). What is the derivative of n(k) wrt k?
-4*k
Let v(g) = -17*g**4 - 5*g**2 + 13*g. Let z(r) = -8*r**4 - 2*r**2 + 6*r. Let y = 43 - 30. Let i(t) = y*z(t) - 6*v(t). What is the third derivative of i(u) wrt u?
-48*u
Let a(f) be the first derivative of 4 - 2*f**3 - 1/2*f**2 + 0*f. Find the second derivative of a(j) wrt j.
-12
Let v(u) be the first derivative of -2*u**5/5 + 2*u**3/3 - 3. Find the third derivative of v(c) wrt c.
-48*c
Let k(q) = -2*q**3 + q**2 + q. Let z be k(-1). What is the third derivative of -j**2 + 178*j**6 - 171*j**6 - 4*j**z wrt j?
840*j**3
Let s(g) = g**2. Let p = 6 - 4. Let z(k) = -k - 4*k + 3*k + 2*k**p - k**2. Let b(h) = -3*s(h) + z(h). Find the second derivative of b(o) wrt o.
-4
Suppose -4*h + 7*h = -30. Let b be (1*-1)/(5/h). Find the second derivative of b*s**2 + 0 + 0 - s wrt s.
4
Let k(v) = -5*v + 3. Let y(z) = -9 + 13*z - z + 2*z + 1. Let g(p) = -11*k(p) - 4*y(p). Differentiate g(b) wrt b.
-1
Let m(v) be the first derivative of -v**5 - 7*v**3/3 + 3. Find the third deriv
|
{
"pile_set_name": "DM Mathematics"
}
|
81/10 + -48/5. Sort 2/5, 3, z, 12/11 in decreasing order.
3, 12/11, 2/5, z
Let n = 6.3 - 6.308. Let m = -0.408 - n. Sort m, -3, -1, 0.2 in decreasing order.
0.2, m, -1, -3
Suppose f = 4*f. Suppose -2*y = 0, -3*y + 2*y = 4*b - 20. Suppose -5*q = -2*r + 14, -b*r + 12 = -0*q - q. Sort r, 5, f in ascending order.
f, r, 5
Let d = 10496 + -10498. Let c(a) = -6*a + 2 + a**2 - 7 + 0. Let n be c(6). Put d, -4, n in ascending order.
n, -4, d
Let k(q) = -3*q**2 + 1. Let b(n) = -n**3 + 4*n**2 - 4*n + 4. Let t be b(3). Let w be k(t). Sort 3, w, 13.
w, 3, 13
Let w = 221/42 - 100/21. Sort 0.2, 1, 88, w in increasing order.
0.2, w, 1, 88
Let m = 0.12 + 0.52. Let c = m - 0.34. Put c, -2, 0.2 in ascending order.
-2, 0.2, c
Let u = 886 - 926. Put -0.1, u, -1/3 in decreasing order.
-0.1, -1/3, u
Let f = 2133/7 + -305. Sort -3, f, 36 in descending order.
36, f, -3
Let a(g) = -g - 5. Let w be a(-4). Let q(z) = 6*z**2 - z. Let m be q(w). Let f = 1 - m. Sort 4, 3, f in descending order.
4, 3, f
Let q be (-209)/(-95) + (-4)/(-5). Sort -2, -25, q in descending order.
q, -2, -25
Let v = -40 + 38. Let i = -0.34 - -0.31. Sort v, 1, i in descending order.
1, i, v
Let g = -291 - -291. Sort 26, g, -5, 8 in increasing order.
-5, g, 8, 26
Let u = 25 + 7. Let p = u - 46. Let q = p - -17. Put -0.2, -1/4, q in descending order.
q, -0.2, -1/4
Let t(w) = -w**2 + 4*w - 1. Let j be t(2). Let r = 427/2288 + -1/208. Put -1, j, r in decreasing order.
j, r, -1
Let m = -30 + 55. Let t be 6/(-12) + m/2. Suppose 0*p - 3*p - t = 0. Put -2, -5, p in descending order.
-2, p, -5
Suppose -4*q + 2*o = -10 + 20, -25 = -3*q - 5*o. Suppose v - 5 = 0, -4*v = u - v - 29. Sort u, 1, q, -5.
-5, q, 1, u
Let z = 2.8 + -0.6. Let o = z + -2. Let s be 0 - ((-30)/(-9))/5. Sort 1/4, s, o in ascending order.
s, o, 1/4
Let m = 2261 + -2278. Sort -3, -4, m, -5 in ascending order.
m, -5, -4, -3
Suppose -3*k + 2*k = -5. Put k, -11, -3 in descending order.
k, -3, -11
Let o be (24/(-32))/(2 - 0). Put o, 0.1, 2 in ascending order.
o, 0.1, 2
Suppose -4*x + 11*x - 49 = 0. Suppose -x*d = -8*d + 5. Let p(h) = -h**2 + 3*h - 2. Let c be p(3). Put c, 3, d in decreasing order.
d, 3, c
Let c = -103 + 102.98. Put -2/13, c, -1, -5/3 in decreasing order.
c, -2/13, -1, -5/3
Let l = 17/6 + -10/3. Sort l, 0.4, 3, -3 in decreasing order.
3, 0.4, l, -3
Let x = 57.6 - 58. Let y = -0.4 - x. Sort -0.2, -0.4, y, 1/5 in ascending order.
-0.4, -0.2, y, 1/5
Let k = 5.75 - 6.1. Let h = k - -0.25. Let w = -0.1 - 0.3. Sort w, -0.3, h in increasing order.
w, -0.3, h
Suppose -288 = 6*s - 15*s. Let g be (-1)/4 - (24/s + -1). Sort g, -1, 2, 5.
-1, g, 2, 5
Let f = -645 + 640. Sort 1, 17.8, f in descending order.
17.8, 1, f
Let z be (2 + -1)/((-4)/(-16)). Sort -32, z, -3 in ascending order.
-32, -3, z
Let b = 0.043 - -0.457. Sort b, -0.09, -0.1 in decreasing order.
b, -0.09, -0.1
Suppose -5*z + 80 = 3*f, 5*z = 4*f + f + 80. Suppose 0*k + z = 2*w + 2*k, w - 5*k = -16. Sort 0, 1, w, -1 in ascending order.
-1, 0, 1, w
Suppose b - 2*b - 18 = -5*q, 0 = -3*q + 9. Sort -5, b, 1, 0 in descending order.
1, 0, b, -5
Let j be (-2)/5 + 4/((-80)/52). Put 1, j, 4, 5 in descending order.
5, 4, 1, j
Let q be 12/54 - (-4 - (-388)/(-36)). Put 6, q, 0 in decreasing order.
q, 6, 0
Suppose 0 = -2*m + 9 + 1. Suppose 2*i - q - 2 = 0, -i + 15 = 4*i - m*q. Suppose -2 = p - 2*p - j, 0 = -4*p + j - 17. Put i, p, 5 in descending order.
5, i, p
Let u = 48 + -58. Let k be (-4)/u*(13 - 12). Put -1, -4, -2, k in increasing order.
-4, -2, -1, k
Let p(h) = -h**3 + 15*h**2. Let g be p(15). Let f = -1 + -1. Let i(a) = a**3 + 5*a**2 - 1. Let b be i(-5). Sort f, b, g in descending order.
g, b, f
Let g = 0.3 + 0.1. Let x = -233 + 32. Let n = 201 + x. Sort n, -1/4, g.
-1/4, n, g
Let j be (8 - 9)*-5*1. Sort 7, j, 2 in increasing order.
2, j, 7
Let z = 13.59 + 0.41. Let t = -20.5 + 3.5. Let f = z + t. Put 5, 1/5, f in decreasing order.
5, 1/5, f
Let s be (-18)/8 + (-147)/196. Sort 20, s, 0 in increasing order.
s, 0, 20
Let g = -0.6 + 0.3. Let p = -187/635 - -12/127. Sort p, 45, g in decreasing order.
45, p, g
Let p(b) = b**3 + b**2 + 2*b + 1. Let f be p(-1). Let y be 3 + 0 - (60/5 - 14). Sort f, -3, y, 2.
-3, f, 2, y
Let z = -27.5 - -26. Let n = z + 0.5. Let o be (-3)/2*20/6. Sort n, o, -0.3.
o, n, -0.3
Let v = -3270.8 - -3271. Let k be ((-4)/10)/(9/(-5)). Sort v, -1, k in decreasing order.
k, v, -1
Let o = 2.634 + 0.366. Put -1, o, -27, 5 in decreasing order.
5, o, -1, -27
Suppose 3*m + 8 = 4*m. Let n be (5/(20/m))/(-5). Let z = 68 + -614/9. Sort z, n, 0.5 in increasing order.
n, z, 0.5
Let q = 227 + -228. Let l = 17 - 16. Put 1/11, q, -4/5, l in increasing order.
q, -4/5, 1/11, l
Let z = -697 + 695. Sort z, 1, -51, -1 in ascending order.
-51, z, -1, 1
Let a = -204 + 208. Sort 10, 2/9, a in ascending order.
2/9, a, 10
Let s be ((-4)/(-6))/((-4)/(-30)). Let c = 7326 - 7341. Sort c, s, -3, -4 in descending order.
s, -3, -4, c
Suppose -l = -3*k - 16, 3*k - l + 20 = -k. Let w be 34/8 - (-15)/20. Sort k, 12, 3, w in increasing order.
k, 3, w, 12
Let h = -208 - -213. Put 0, h, 1, 6 in increasing order.
0, 1, h, 6
Let j = -703 + 678. Put -3, j, -4/3 in increasing order.
j, -3, -4/3
Let m = -0.64 - -0.34. Sort -0.4, -1/4, -62, m in decreasing order.
-1/4, m, -0.4, -62
Suppose -h - 6 = -4. Suppose -42*x = -35*x + 7. Sort 2, h, 3, x in increasing order.
h, x, 2, 3
Let g = -0.16 + 2.46. Put -2/15, 2, -1, g in descending order.
g, 2, -2/15, -1
Let i = -9 - -10. Let u be i - 0 - (0 - -1). Suppose u = -0*k - k - 1. Sort 1, k, -4 in ascending order.
-4, k, 1
Let s be (-28)/(-182) - 2/(-286)*4. Sort -0.09, 3, -0.3, s in decreasing order.
3, s, -0.09, -0.3
Let d = -3 + 3. Suppose 2*n + 1 = -5. Let v = -347 + 349. Sort n, v, d in descending order.
v, d, n
Let z be (80/(-1344))/(5*2/(-6)). Sort z, 2/11, -1, -5 in descending order.
2/11, z, -1, -5
Let o = 46 - 32. Let y(h) = -h**2 - 28*h - 43. Let i be y(-27). Let a = i + o. Put a, 5, -7 in ascending order.
-7, a, 5
Suppose -6*j = -396 + 516. Put 5, 1, -2, j in decreasing order.
5, 1, -2, j
Let o = -53.7 - 6.3. Let z = 63 + o. Let h = -8 - -6. Sort z, h, -3 in descending order.
z, h, -3
Suppose 14*c + 56 = -0*c. Sort c, -2/3, 5.
c, -2/3, 5
Let t = 0.5 - 0. Let o = -56.08 - -52.08. Put o, -3, 4, t in descending order.
4, t, -3, o
Let m be (-28)/7 + (8/(-6) - -5). Let a(w) = 5*w**2 - w + 1. Let c be a(1). Suppose -3*h + c*h = 2*k, 4*h = -5*k - 36. Put m, 1, k in decreasing order.
1, m, k
Suppose 5 = -2*x + 15. Suppose -4*f + 8 = 0, 1 = -x*s - 4*f + 14. Let g = -276 + 271. Sort g, 2, s in ascending order.
g, s, 2
Let j be (-1)/(-2)*280/(-84). Sort 0.2, 0.4, j, 0 in descending order.
0.4, 0.2, 0, j
Let x be (-2)/(((-9)/6)/3). Suppose -x*l = l. Let i(k) = -k - 8. Let s be i(-12). Sort 11, s, l in descending order.
11, s, l
Let y = 0.8 + -1.1. Let t(g) = -g**3 + 2*g**2 - 2*g + 3. Let i be t(2). Let w = 0.19 - 0.09. Put y, i, w in ascending order.
i, y, w
Let g(k) = k**3 + 6*k**2 + 3*k - 12. Let c be g(-4). Let a = -1 - 1. Let n be c/4*a - -7. Sort n, 0, -4 in descending order.
n, 0, -4
Let g be (2/6)/((-1)/6). Let d be 5 + -1 - (4 - 4). Suppose -22 + 6 = d*w. Sort 1, g, w in ascending order.
w, g, 1
Let q(v) = -64*v - 1285. Let y be q(-20). Put -3, 1, y, 9 in increasing order.
y, -3, 1, 9
Let t = 18 - 20. Let s be (-50)/(-24) + t + (-15)/(-12). Put 2, -1/3, -4/7, s in increasing order.
-4/7, -1/3, s, 2
Let g = -22.9 - -22. Let y = g + -3.1. Let s = -66 - -74. Sort s, 3, y in decreasing order.
s, 3, y
Suppose -2*h = 0, 0*h - 3*h + 2 = -l. Let r = -32 - -43. Suppose 0 = -9*j + r - 2. Sort l, j, -4 in increasing order.
-4, l, j
Let b be (-99)/21 + (-6)/21. Let a(w) be the second derivative of w**4/12 - 2*w**3/3 - w**2 - 7*w. Let z be a(5). Sort 1, b, z in ascending order.
b, 1, z
Let v be (27/162 + (-7)/6)*-3. Sort v, -3, 31 in descending order.
31, v, -3
Suppose -5*u - 96 = -10*u + 2*a, -2*a = -u + 16. Sort 5, 0, u in descending order.
u, 5, 0
Let r = -0.31 + 0.01. Let c = 1.069 - 0.079. Let x = 0.01 + c. Put -0.2, r, x in descending order.
x, -0.2, r
Let j be 6/(-7)*(-56)/48*4. Let o(y) = -y - 4. Let p be o(-6). Suppose 7*i = p*i + 10. Sort -5, i, j in decreasing order.
j, i, -5
Let a = -0.36 - -0.66. Let u = -0.6 + a. Let f = 0 + 2. Put f, 0, u in decreasing o
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{
"pile_set_name": "DM Mathematics"
}
|
2 - 6. Suppose 2*p = -2*p - s + 16, -p = -5*s + 17. Suppose -16 = -p*y - y. Give y*o(h) - l(h).
h + 2
Let k(g) = -4*g**2 + 5*g + 4. Let s(i) = 5*i**2 - 6*i - 5. Suppose -2*p - 7 = -3, 5*y - 2*p + 36 = 0. Let l be (-6)/y*(14 + -10). Determine l*s(f) + 4*k(f).
-f**2 + 2*f + 1
Let z(n) = -4*n + 286. Let c be z(0). Let r(v) = -c - 3*v + 292 + 0*v. Let d(j) = 2*j - 5. Calculate -5*d(f) - 4*r(f).
2*f + 1
Let f(q) = 2*q - 2. Let c(k) = 3*k - 2. Let o = -2 - 2. Suppose j + 2*m = 9, 0 = 5*j - 587*m + 585*m - 21. Calculate j*f(w) + o*c(w).
-2*w - 2
Let x(q) = -21 + 34 - 10 - 4. Let c(r) = -2*r - 4. Suppose -2 = -4*h + 2. Let l = -11 - -6. Calculate h*c(m) + l*x(m).
-2*m + 1
Let v(c) = -448*c + 35. Let q(f) = 448*f - 30. Determine -7*q(o) - 6*v(o).
-448*o
Let b(w) = -903*w**2 - 49*w - 49. Let r(d) = -113*d**2 - 6*d - 6. Give -6*b(v) + 49*r(v).
-119*v**2
Let b(w) = 128 + w**2 - 129 - 2*w**2. Let j = 19 + -17. Suppose j*h - 3*h + 52 = 4*k, 74 = 5*k - h. Let p(c) = -8*c**2 - 7. Determine k*b(x) - 2*p(x).
2*x**2
Let h(p) = -5*p**2 + 2*p - 2. Let f = -43 - -45. Suppose 3*w - x + 4 = -6*x, f*x - 5 = w. Let a(u) = 5*u**2 - 2*u + 3. Calculate w*h(c) - 2*a(c).
5*c**2 - 2*c
Let u(z) = 5*z**3 - 7*z**2 + 9*z - 7. Let f(k) = 2*k**3 - 8*k + 5*k**2 + 0*k**3 - 5*k**3 + k**2 - k**3 + 7. What is 7*f(n) + 6*u(n)?
2*n**3 - 2*n + 7
Let j(q) = 4*q**3 - 3*q**2 - q. Let b be (0 + 4/6)/(1/3). Let s(c) = c**2 + 1 + 3*c**3 - b*c**3 - 3*c**2 + c**2. Give j(r) - 3*s(r).
r**3 - r - 3
Let s(m) = 1. Let w(l) = 5*l - 3. Let p = -51 - -52. Calculate p*w(q) + 5*s(q).
5*q + 2
Let u = 5 - 4. Let i(d) = -7*d - u + 8 - 10. Let j(o) = -11*o - 5. Give -8*i(q) + 5*j(q).
q - 1
Let a(l) be the first derivative of l**2/2 + l + 10. Let j(y) = -19*y + 13*y + 2 - 2*y**2 + 10*y. What is 4*a(u) - j(u)?
2*u**2 + 2
Let p(t) = 5*t. Suppose x - 2*n = -27, -4*x - x = 2*n + 75. Let q be x/(-4) + 5/(-20). Let i(a) = -2*a - 4 + q. Determine -9*i(y) - 4*p(y).
-2*y
Let r(v) = -4*v**3 - 9*v**2 + 4*v - 2. Let k(l) = -5*l**3 - 12*l**2 + 5*l - 3. Let t(m) = 3*k(m) - 4*r(m). Let z(g) = 3*g**3 - 7*g - 2. What is -2*t(p) + z(p)?
p**3 - 5*p
Let n(q) = 2*q**2 - 4*q + 1. Suppose 4*z + 2 + 2 = -4*y, 0 = 3*y - 12. Let j(x) = -4*x**2 + 9*x - 3. Calculate z*n(o) - 2*j(o).
-2*o**2 + 2*o + 1
Let n(k) = -k**3 - k**2. Let b(o) = -12*o**3 - 3*o**2 + 7*o. Let q(i) = -8*i**3 - 3*i**2 + 5*i. Let y(x) = 5*b(x) - 7*q(x). Determine -6*n(f) - y(f).
10*f**3
Let o(w) = -2*w**2 - 3*w - 3. Suppose 2*k - 15 = 3*v - 23, -v + 2 = -k. Let a(i) = 3*i**2 + 4*i + 4. What is v*o(y) + 3*a(y)?
y**2
Suppose -i - 2 = -3*i. Let a(r) = -18*r**2 - 15*r + 15. Let b(q) = q**2 + q - 1. Let v = 2 - -7. Let u(d) = 3*d - 12. Let g be u(v). What is g*b(f) + i*a(f)?
-3*f**2
Let l(u) = u**2 - 8*u - 18. Let w(r) = -r**2 + 7*r + 15. Let x(a) = 5*l(a) + 6*w(a). Let h(g) = 2*g**2 - 4*g. What is 4*h(v) + 9*x(v)?
-v**2 + 2*v
Let k(u) = u**3 + u**2 - u + 1. Let y(z) = -5*z**3 - 4*z**2 + 4*z - 5. Let p = -43 - -47. Suppose -g - 5 = -2*n + 2*g, -5*n - g = -p. Determine n*y(a) + 4*k(a).
-a**3 - 1
Let i(z) = -78*z**2 + 2*z - 1. Let s(a) = a**2 + a + 1. What is i(k) - s(k)?
-79*k**2 + k - 2
Let r(s) = 901*s**3 - 8*s**2 - 2. Let w(b) = 3603*b**3 - 35*b**2 - 9. Calculate -9*r(f) + 2*w(f).
-903*f**3 + 2*f**2
Let u(w) = -13*w - 5. Suppose -i = -3*i + 14. Let s(k) = 35*k. Let m(y) = 32*y - 1. Let t(h) = 2*m(h) - 2*s(h). Give i*t(b) - 3*u(b).
-3*b + 1
Suppose 5*l - 2*l = -12. Let n be (-4*1)/((-4)/l). Let b(o) = -o**2 + 5*o - 1. Let q(j) = 6*j**2 - 5*j**2 + 2*j**2 - 5*j + 3 - 9*j. Calculate n*q(k) - 11*b(k).
-k**2 + k - 1
Let z be 24*-3*(-3)/4. Let w(y) = -24*y**2 - 9 - z*y + 21*y - 24. Let p(q) = -3*q**2 - 4*q - 4. Let g be 10/5 + (-31)/(-1). Determine g*p(b) - 4*w(b).
-3*b**2
Let p(n) = -3*n**2 - 2*n + 4. Let m(f) = -4*f**2 - 2*f + 5. Let o be 4/(4/3) + (-25 - 4). Let j be (-2)/3*(o/4 - -2). Give j*p(s) - 2*m(s).
-s**2 - 2*s + 2
Let p(a) = -17*a + 6. Let t(v) = -18*v + 2. Calculate -6*p(l) + 5*t(l).
12*l - 26
Let h(d) = 5*d + d**2 - 4 + 6 - 6*d + 2*d - 1. Suppose -3*q + s - 1 + 0 = 0, 2*q = -3*s - 19. Let u(f) = -4*f**2 - 3. Calculate q*h(z) - u(z).
2*z**2 - 2*z + 1
Let l(b) = -3*b**3 + 4*b**2 + 4*b + 3. Let v(z) = 14*z**3 - 21*z**2 - 21*z - 14. Calculate -21*l(n) - 4*v(n).
7*n**3 - 7
Suppose 214*o - 220*o - 48 = 0. Let i(h) = -17*h + 11. Let r(l) = 6*l - 4. Calculate o*r(f) - 3*i(f).
3*f - 1
Let q(b) = 14*b**2 + 42*b - 3. Let h(g) = -12*g**2 - 42*g + 2. Calculate 6*h(x) + 5*q(x).
-2*x**2 - 42*x - 3
Let c(a) = a**2 + 7. Let m(n) = -2*n**2 - 9. What is 2*c(x) + 3*m(x)?
-4*x**2 - 13
Let f(h) = -2*h**3 - 7*h**2 - 2*h + 16. Let b(y) = 8*y**3 + 30*y**2 + 9*y - 65. Determine 2*b(c) + 9*f(c).
-2*c**3 - 3*c**2 + 14
Let o(u) = 2*u**2 - 3*u + 3. Let z(l) = l**3 - 4*l**2 + 6*l - 5. Determine -5*o(q) - 3*z(q).
-3*q**3 + 2*q**2 - 3*q
Let h(d) = 36. Let m(t) = -43. Let l(k) = -6*h(k) - 5*m(k). Let o(n) = 2*n + 5. Determine -3*l(q) - o(q).
-2*q - 2
Let i be (2 - -1 - 114/42)*14. Let b(k) = k - 3. Let c(p) = p - 3. What is i*c(t) - 3*b(t)?
t - 3
Let k(b) be the first derivative of 4*b**3/3 - 5*b**2/2 - 4*b + 687. Let j(a) = -3*a**2 + 4*a + 5. Give -3*j(m) - 2*k(m).
m**2 - 2*m - 7
Let f(v) = 4*v**2 - 12*v - 2. Let a(l) = -2*l**2 + 6*l + 1. Give -11*a(d) - 6*f(d).
-2*d**2 + 6*d + 1
Let j(n) = -7*n + 2. Let h(w) = w**2 + 24*w + 8*w + 4*w - 10. Suppose 4 = -l + v, 17*l + 12 = 11*l + 4*v. Determine l*h(i) + 11*j(i).
2*i**2 - 5*i + 2
Let x(k) = -17*k**2 - 9. Let p be (3/(-3))/((-2)/(-14)). Let c = -16 - p. Let s(b) = 4*b**2 + 2. Let j = -350 - -348. Calculate c*s(i) + j*x(i).
-2*i**2
Let y = 176 + -171. Let c(l) = -4*l**3 - 7*l**2 + 5. Let j(b) = -2*b**3 - 4*b**2 + 3. Determine y*j(i) - 3*c(i).
2*i**3 + i**2
Let y(p) = 11170*p - 2 + 3*p**2 - 11165*p + 10. Let h(a) = -9*a**2 - 14*a - 23. Calculate 6*h(c) + 17*y(c).
-3*c**2 + c - 2
Let l be (-17)/51 + 58/(-6). Let q = -12 - l. Let k(a) = -a**2 - 2*a. Let y(c) = -c - 6. Let r(t) = -t - 5. Let z(p) = 6*r(p) - 5*y(p). What is q*z(d) + k(d)?
-d**2
Let j(f) = -11*f + 2. Let l(x) = -37*x - 34*x + 1 + 64*x. Give 5*j(a) - 8*l(a).
a + 2
Let j(u) = -17*u**3 - 21*u**2 - 10*u. Let q(d) = 16*d**3 + 19*d**2 + 8*d. Give -4*j(s) - 5*q(s).
-12*s**3 - 11*s**2
Let i be (-3)/(-2) - (-3)/6. Let b = 12 + -10. Let h(m) = 2*m**3 + 12*m**2 - m + 5*m**2 - 20*m**2 + b. Let n(y) = -y**3 + 2*y**2 + y - 2. Give i*h(t) + 3*n(t).
t**3 + t - 2
Let a(g) = -3*g**2 - 32. Let l(y) = -3*y**2 - 42. Let x(w) = 4*a(w) - 3*l(w). Let r(u) = -12*u**2 - 9. What is 2*r(o) - 9*x(o)?
3*o**2
Let t be (5 + (3 - 7))*22 + -4. Let b(m) = -m - 1. Let l(a) = 6*a**2 - 18*a - 18. Determine t*b(s) - l(s).
-6*s**2
Let q(f) be the second derivative of -f**3/2 - f. Let v be 6/20 - -3*(-814)/(-660). Let g(z) = -2*z - 1. Give v*g(o) - 3*q(o).
o - 4
Let c(m) = 275*m**3 + 5*m**2 + 5*m. Let n(v) = 10724*v**3 + 196*v**2 + 196*v. Determine 196*c(a) - 5*n(a).
280*a**3
Let g(d) = d**2 + 3 - d**2 + 3*d - 5*d**2. Let k(p) = -9*p**2 - 425 + 1287 - 430 - 427 + 5*p. Give 7*g(o) - 4*k(o).
o**2 + o + 1
Let k(h) = -h**2 + 5*h - 3. Suppose -2*f + 2*u = 4, 0 = 7*f - 11*f - 4*u + 32. Let a(w) = 4*w - 4. What is f*a(y) - 2*k(y)?
2*y**2 + 2*y - 6
Let v(j) = -2. Let d(h) = h. Let n = 8 + -7. Let m(u) = -4*u + 1 + 0*u - n. Let o(z) = 3*d(z) + m(z). Calculate -2*o(l) - v(l).
2*l + 2
Let y(a) = -4. Let k(l) = l + 3. Suppose 43*t - 98 = -270. What is t*k(v) - 3*y(v)?
-4*v
Let t(i) = 7*i - 8. Let l(n) = -6*n + 7. Let r(s) = 3*l(s) + 2*t(s). Let z be (1 - -1)*13/2. Let b = z - 7. Let w(u) = 11*u - 14. Give b*w(d) + 17*r(d).
-2*d + 1
Let r(u) = 26*u + 131. Let a(t) = -208*t - 1027. Let p(f) = -5*a(f) - 39*r(f). Let b(h) = -5*h - 5. Let v = -6 - -9. What is v*p(w) + 16*b(w)?
-2*w - 2
Let h(m) = m**3 + 11*m**2 + 12*m - 37. Let j(q) = q**3 + 6*q**2 + 7*q - 18. Determine 3*h(y) - 5*j(y).
-2*y**3 + 3*y**2 + y - 21
Let s(k) = 10*k**2 + 11*k + 11. Let f(d) = -5*d**2 - 6*d - 7. What is -5*f(q) - 3*s(q)?
-5*q**2 - 3*q + 2
Let k(g) = g**3 - 5. Suppose -3*l - 10 = -8*l. Let h(z) = -z**3 - 3*z**l + 3*z**2 + 6. Give 5*h(t) + 6*k(t).
t**3
Let t = -37 + 37. Let z(j) = 2*j - 13*j**2 + 16*j**2 + t*j - 2. Let f(a) = -1 - 9*a + 12 - 12*a**2 - 2. Give 2*f(g) + 9*z(g).
3*g**2
Suppose 2*g = 3*n - 25, 22 = 3*n - 4*g - 7. Let d(i) = -28*i + 63*i - 7*i**3 + 3*i**2
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{
"pile_set_name": "DM Mathematics"
}
|
l(3). Let w(n) = 5*n + 7. Let y(r) = 14*r + 20. What is c*y(a) - 17*w(a)?
-a + 1
Let t = -194 + 196. Let j(p) = p + 2 - 2. Let h(b) = -2*b. Determine t*j(o) + 2*h(o).
-2*o
Let a(i) = -i**3 - i**2 - i + 1. Let t(m) be the first derivative of 2*m**3/3 - 2*m + 13. Give 2*a(u) + t(u).
-2*u**3 - 2*u
Let r(j) = -2*j + 7. Let l(b) = 6*b - 22. Calculate 2*l(m) + 7*r(m).
-2*m + 5
Let h = 16 - -1. Let p(s) = -3*s**3 + 6*s**2 - 17*s - 14. Let z(l) = -l**3 + 2*l**2 - 6*l - 5. What is h*z(a) - 6*p(a)?
a**3 - 2*a**2 - 1
Let j(i) = 2*i - 8. Let u(v) = 2*v - 8. Calculate -5*j(f) + 4*u(f).
-2*f + 8
Let s(p) = 6*p**2 + 3*p. Let c(y) = -4*y**2 + 20*y + 5*y**2 - 19*y. What is -3*c(r) + s(r)?
3*r**2
Let q be 0 + -1 + 3 + 6. Let u = 14 - q. Let v(p) = -3*p - 17. Let d(z) = -z - 6. Suppose -3*a - 5*w - 12 = 49, -4*w = -a - 9. What is a*d(h) + u*v(h)?
-h
Let k(l) = -5*l - 5. Let p(r) = -r**2 - 6*r - 6. Determine -6*k(u) + 5*p(u).
-5*u**2
Suppose -5 = -4*s + 3. Suppose -q = q + s. Let a(m) = -m**2 - m. Let c(g) = -2*g - 3*g - g**2 + 6*g + 1. Give q*c(t) - a(t).
2*t**2 - 1
Let k(g) = 1. Let f(p) = -14*p - 2. Let a(j) = -j + 1. Let r(c) = -12*a(c) + f(c). Let u be (-10)/(-14) + 10/35. Determine u*r(y) + 12*k(y).
-2*y - 2
Let v(f) = 2*f - 9. Suppose -m - 14 = -2*x - x, 3*m = 4*x - 12. Let d(t) = -t + 4. What is x*v(n) + 13*d(n)?
-n - 2
Let f(a) = -5*a**2 + 2*a - 5. Let v(s) = 9*s**2 - 3*s + 9. Let y(t) = -11*f(t) - 6*v(t). Let q(r) = -4*r**2 + 13*r - 4. Give -2*q(o) - 7*y(o).
o**2 + 2*o + 1
Let v(c) = -c - 23. Let g(o) = o + 11. What is 13*g(q) + 6*v(q)?
7*q + 5
Let l(b) be the second derivative of -11*b**5/20 - 5*b**3/6 + 5*b**2/2 - 13*b. Let i(u) = 6*u**3 + 3*u - 3. Calculate -5*i(c) - 3*l(c).
3*c**3
Let c(u) = 8*u - 10. Let n(m) = -7*m + 10. What is 5*c(x) + 6*n(x)?
-2*x + 10
Let p = -10 + 16. Let w(b) = 17*b**2 - 2*b - 2. Let u(o) = -375*o**2 + 45*o + 45. Let n(r) = -2*u(r) - 45*w(r). Let t(h) = -7*h**2. Give p*n(k) - 13*t(k).
k**2
Let y(k) = k**3 - 2*k + 2. Let s(v) = 5*v + 0*v - 1 - 4*v. Let a be 10 + (-2 - (3 + -2)). Let g(w) = w**2 - 6*w - 8. Let m be g(a). What is m*y(u) - 2*s(u)?
-u**3
Let y(r) = -217*r**3 - 31*r**2 - 31*r. Let s(c) = -27*c**3 - 4*c**2 - 4*c. Determine -31*s(p) + 4*y(p).
-31*p**3
Suppose 3*c = -c + 8. Let l(i) = i - 5*i**2 - c*i + 2*i**2 + i**2. Let x(a) = 4*a**2 + 2*a - 1. Let y = -3 - -5. Determine y*x(q) + 5*l(q).
-2*q**2 - q - 2
Let d(w) = -w - 7. Let u(v) = 4*v + 29. Let k(n) = -22*d(n) - 6*u(n). Let m(z) = 2. Calculate 2*k(q) + 20*m(q).
-4*q
Let c(z) = -26*z**2 - 14. Let n(o) = 5*o**2 - 13*o + 10. Let h(s) = -3*s**2 + 6*s - 5. Let w(a) = -13*h(a) - 6*n(a). Give -5*c(j) - 14*w(j).
4*j**2
Let a(p) be the third derivative of -p**5/60 - p**4/24 + p**3/6 + 3*p**2. Let h(m) = -7*m**2 - 8*m + 8. What is -6*a(d) + h(d)?
-d**2 - 2*d + 2
Let k(t) be the first derivative of -t**3/3 - t**2/2 + t + 5. Let p(q) = 7*q**2 + 6*q - 4. Calculate 5*k(n) + p(n).
2*n**2 + n + 1
Let n be ((-2)/(-3))/(6/45). Let t(k) = 2*k + 2 + 3*k - n. Let i(b) = b - 1. Suppose -24 = -11*r + 17*r. Give r*i(z) + t(z).
z + 1
Let p(t) = -5*t**3 + 3*t**2 + 3*t + 2. Let v(f) = 5*f**3 - 4*f**2 - 4*f - 3. Calculate 4*p(l) + 3*v(l).
-5*l**3 - 1
Let g(b) = 9*b**3 + 21*b**2 + 21*b - 21. Suppose -21 = 16*z + 43. Let y(a) = -2*a**3 - 4*a**2 - 4*a + 4. Give z*g(l) - 21*y(l).
6*l**3
Let t(i) = -3*i - 1. Let w(d) = 1. What is t(r) + w(r)?
-3*r
Let l(q) = -2*q**2 - 2*q + 3. Let w(f) = 1. Give -l(j) + 3*w(j).
2*j**2 + 2*j
Let z = -14 - -18. Let g(r) = 6*r**2 - 4*r + 2. Let p(n) = 5*n**2 - 3*n + 1. Calculate z*p(o) - 3*g(o).
2*o**2 - 2
Suppose 3*h + 6 = 15. Let s(d) = -1 - d - 2*d + h + d. Let y(k) = 2*k - 3. Determine 4*s(r) + 3*y(r).
-2*r - 1
Let t(w) = -74*w. Let i(x) = 37*x. Calculate 7*i(q) + 4*t(q).
-37*q
Let y(j) = 6*j**3 + 8*j**2 + 5*j - 8. Let s(h) = 2*h - 2 + 2*h**3 - h**2 - 6 + 5 + 4*h**2. What is -8*s(v) + 3*y(v)?
2*v**3 - v
Let g(m) = m - 3. Let y(z) = z - 4. Let n(q) = -q**2 + 5*q - 3. Let k be n(3). Calculate k*g(a) - 2*y(a).
a - 1
Let t(a) = -2*a - 17. Let z(f) be the first derivative of -f**2/2 - 11*f - 2. Calculate 5*t(n) - 8*z(n).
-2*n + 3
Let g(a) = -7*a**3 + 14*a**2 + 4*a - 4. Let l(m) = 15*m**3 - 29*m**2 - 9*m + 9. Give -9*g(i) - 4*l(i).
3*i**3 - 10*i**2
Let w(a) be the first derivative of 9*a**2/2 + 9*a + 1. Let m(u) = 5 + 0*u + u + 6*u - 2*u. Calculate -11*m(j) + 6*w(j).
-j - 1
Let h(z) = -35*z - 1. Let p(k) = k. Give -h(m) + 5*p(m).
40*m + 1
Let h(o) = -o**2 - 2*o - 2. Let p(d) = 2*d**2 + 2*d + 3. Let y be (6/4)/(1/(-2)). Calculate y*h(s) - 2*p(s).
-s**2 + 2*s
Let c(v) = -v**2 - v + 1. Let y(k) = -6*k**2 - 2*k + 2. Calculate -10*c(q) + 5*y(q).
-20*q**2
Let f(g) = -3*g**2 + 2*g - 2. Let r(b) = 5*b**2 - 3*b + 3. Let o(c) = 8*f(c) + 5*r(c). Let l(q) = 2*q**2 - 2*q + q - 2*q + 3 - 5*q**2. Give l(n) + 2*o(n).
-n**2 - n + 1
Let u(v) = 6*v + 3 - v + 1 + 6*v**2. Let c(t) be the second derivative of t**4/12 + t**3/6 + t**2/2 + 5*t. Suppose 2*h = 3*h - 1. Give h*u(j) - 5*c(j).
j**2 - 1
Let m(x) = -8*x**2 - x + 6. Let l(c) = -c**3 - 4*c**2 + c - 3. Let u be l(-4). Let q(h) = -9*h**2 - h + 7. Calculate u*m(s) + 6*q(s).
2*s**2 + s
Let f(r) = -5*r - 1. Let x(c) = -c + 1. Give f(i) - 2*x(i).
-3*i - 3
Let t(g) = -g**3 + 4*g**2 - g + 2. Suppose 0*u + 2*u - 8 = 0. Let o be t(u). Let l(a) = a + 2. Let q(b) = -9*b - 21. Determine o*q(z) - 21*l(z).
-3*z
Let h(m) = -135*m - 3 + 125*m - 2. Let d(x) = -5*x - 2. Give -5*d(o) + 2*h(o).
5*o
Let h(k) be the second derivative of -2*k**2 + 5*k - k**3 + 0 + 1/12*k**4. Let s(d) = d + 1. Determine -h(i) - 5*s(i).
-i**2 + i - 1
Let c(h) be the third derivative of h**4/24 - 4*h**2. Let l(j) = j**2 - 5*j. Let p be l(6). Let z(y) = -6*y + 1 + 1 - 2*y. Determine p*c(v) + z(v).
-2*v + 2
Suppose 4*m = -5*u + 28, m - 3*u + 13 = 3. Let p(x) = -4*x + 2. Let z be p(-1). Let a(g) = -3 + 5 + 0*g + m*g**2 - z*g. Let f(o) = o. Calculate -a(b) - 6*f(b).
-2*b**2 - 2
Let m(u) = 5*u**3 - 13*u**2 - 13. Let d(t) = t**3 + 3*t**2 + 1. Let g(z) = -4*z**3 - 9*z**2 - 2. Let x(r) = 14*d(r) + 4*g(r). Give 6*m(c) + 13*x(c).
4*c**3
Let y(n) = -2. Let x(h) = -5 - 331*h**3 + 165*h**3 + 165*h**3. Calculate -6*x(b) + 15*y(b).
6*b**3
Let l(n) = n**2 - 5*n - 5. Suppose 10*y - 154 = -12*y. Let u(i) = i**2 - 4*i - 4. Suppose -b = 3*p - 9, -5 = b - p + 6. Give b*l(a) + y*u(a).
a**2 + 2*a + 2
Let j(k) = -2*k - 40. Let c be j(-18). Let o(r) = -2*r**3 - 4*r. Let z(d) = -2*d**3 - 3*d. Give c*z(u) + 3*o(u).
2*u**3
Let b(a) be the third derivative of a**4/24 + a**3/6 - 8*a**2. Let v(w) = -3*w - 2. Give -8*b(t) - 3*v(t).
t - 2
Let l(t) = -t. Let k(o) = -5*o - 5. Calculate -k(u) + 4*l(u).
u + 5
Let z(i) = i**3 - i**2 - 1. Let l(x) = 9*x**3 - 6*x**2 - 2. What is l(s) - 4*z(s)?
5*s**3 - 2*s**2 + 2
Let h(d) = -5*d**2 - 2*d - 3. Let v(m) = 1. Give h(q) + 2*v(q).
-5*q**2 - 2*q - 1
Let w(n) be the third derivative of -1/24*n**4 + 0 + 2*n**2 - 1/6*n**3 + 0*n. Suppose 3*d = -2*b, -2*b = 2*b + 5*d + 2. Let a(f) = 1. Give b*a(i) - w(i).
i - 2
Suppose 0 = 4*t - 2*t - 14. Suppose t*s + 30 = 2*s. Let x be (-13)/3 - 2/s. Let g(q) = -4*q. Let l(y) = 3*y. Determine x*g(h) - 6*l(h).
-2*h
Let s(q) = 1. Let o(d) = 2*d + 6. Suppose 0 = -l - 2*l - 12, -4*y = 3*l + 36. Calculate y*s(p) + o(p).
2*p
Let t(i) be the second derivative of -5*i**3/6 + 2*i**2 - 2*i. Let p(y) = 4*y - 7. Let b(q) = 12*q - 20. Let s(g) = -4*b(g) + 11*p(g). Give 6*s(v) - 5*t(v).
v - 2
Let q(a) = -2*a**3 - 4*a - 6. Let h(k) = 2*k**3 + 3*k + 7. Determine -5*h(m) - 6*q(m).
2*m**3 + 9*m + 1
Let p(y) = y - 6. Suppose -2*r + 3 = -1. Let x(m) = -r*m - 5 + 6*m - m - 2*m. Give -5*p(z) + 6*x(z).
z
Let z(u) = 7*u**3 + 2*u + 5. Let n(o) = 35*o**3 + 11*o + 26. Determine 2*n(d) - 11*z(d).
-7*d**3 - 3
Let c(l) = 2*l - 5. Let q(a) = -9*a + 26. Give -11*c(f) - 2*q(f).
-4*f + 3
Let x(n) = -n**2 + 1. Let w(k) = 2*k**2 - 5 + 19*k - 19*k + 3*k**2. What is -w(a) - 4*x(a)?
-a**2 + 1
Let u = -3 + 9. Let x(p) = 2*p**2 - p + 6. Let d(t) = -2*t**2 + t - 7. What is u*d(c) + 7*x(c)?
2*c**2 - c
Let o(u) = -17*u + 4 + 4 + 23*u. Let m(p) = 5*p + 7. Give 7*m(g) - 6*o(g).
-g + 1
Let p(j) = -11*j**2 - 5*j - 2. Let q(y) = -y**2 - y. Determine p(r) - 6*q(r).
-5*r**2 + r - 2
Let l(c) = 1. Let k(d) be the second derivative of d**3/3 - 2*d**2 - 7*d. Let x be (-5)/(-6)*2*-3. What i
|
{
"pile_set_name": "DM Mathematics"
}
|
s: 1}. What is prob of sequence sg?
1/20
Two letters picked without replacement from {q: 4, t: 3, a: 2}. What is prob of sequence at?
1/12
Calculate prob of sequence nn when two letters picked without replacement from unnuunn.
2/7
Three letters picked without replacement from {f: 1, d: 4, y: 2, k: 9}. Give prob of sequence dfd.
1/280
Calculate prob of sequence kbbb when four letters picked without replacement from {k: 9, b: 3}.
1/220
What is prob of sequence ws when two letters picked without replacement from {e: 1, k: 1, s: 1, w: 1, q: 2, r: 1}?
1/42
What is prob of sequence eoo when three letters picked without replacement from {e: 1, o: 2}?
1/3
Two letters picked without replacement from {r: 15, x: 4}. Give prob of sequence xr.
10/57
Four letters picked without replacement from {o: 2, n: 3, i: 3}. Give prob of sequence noon.
1/140
Calculate prob of sequence ii when two letters picked without replacement from {i: 9, a: 7}.
3/10
Two letters picked without replacement from tttttttttfititrrttt. What is prob of sequence rf?
1/171
Two letters picked without replacement from fgffwfgfwif. What is prob of sequence gw?
2/55
Calculate prob of sequence ea when two letters picked without replacement from {j: 4, e: 1, z: 3, o: 1, a: 2}.
1/55
Four letters picked without replacement from {c: 8, l: 3, f: 7}. What is prob of sequence lfcf?
7/510
What is prob of sequence wgm when three letters picked without replacement from gamxxgxaxaxpxgawpgxg?
1/1368
Four letters picked without replacement from {e: 18, i: 1}. What is prob of sequence ieee?
1/19
What is prob of sequence sg when two letters picked without replacement from {g: 1, s: 2, d: 1}?
1/6
Calculate prob of sequence suu when three letters picked without replacement from {i: 7, s: 3, d: 7, u: 2}.
1/969
Four letters picked without replacement from {e: 3, a: 10, h: 3, o: 2}. What is prob of sequence ahoo?
1/1224
Four letters picked without replacement from {g: 5, u: 2, v: 5}. Give prob of sequence gvuv.
5/297
What is prob of sequence it when two letters picked without replacement from iiiittt?
2/7
What is prob of sequence cr when two letters picked without replacement from cccrccrccccccrcrrrc?
13/57
What is prob of sequence flu when three letters picked without replacement from {k: 1, l: 1, j: 2, f: 2, u: 1}?
1/105
Two letters picked without replacement from {w: 3, p: 7}. Give prob of sequence pp.
7/15
Three letters picked without replacement from {h: 5, t: 8, z: 7}. Give prob of sequence zth.
7/171
Calculate prob of sequence eu when two letters picked without replacement from {t: 9, e: 1, l: 6, u: 3}.
1/114
Calculate prob of sequence ueae when four letters picked without replacement from {j: 4, a: 7, e: 2, r: 2, u: 2}.
1/2040
Two letters picked without replacement from {q: 2, c: 1, k: 2}. What is prob of sequence qq?
1/10
Two letters picked without replacement from ehlix. Give prob of sequence lh.
1/20
What is prob of sequence diy when three letters picked without replacement from {b: 4, z: 3, i: 3, f: 2, y: 1, d: 2}?
1/455
What is prob of sequence qi when two letters picked without replacement from iqqqqiqqqqqqqqiq?
13/80
What is prob of sequence hh when two letters picked without replacement from yqymryhhyhhy?
1/11
Three letters picked without replacement from {f: 3, c: 1, g: 1, v: 5, s: 3, q: 1}. Give prob of sequence fgq.
1/728
What is prob of sequence jwjj when four letters picked without replacement from {j: 3, w: 15}?
1/816
Two letters picked without replacement from vndaynka. What is prob of sequence vy?
1/56
Three letters picked without replacement from {k: 2, w: 2, s: 1}. What is prob of sequence wwk?
1/15
Two letters picked without replacement from pqackqkd. What is prob of sequence dq?
1/28
Calculate prob of sequence ggl when three letters picked without replacement from {l: 12, m: 1, g: 2, f: 4}.
4/969
Four letters picked without replacement from nnnuuinnuiyuuxnn. What is prob of sequence uynx?
1/1248
What is prob of sequence yyyy when four letters picked without replacement from yyyyyyyyyy?
1
Three letters picked without replacement from waazzazazfuuzawwfa. Give prob of sequence fua.
1/204
What is prob of sequence sn when two letters picked without replacement from eeenesnseneseneeee?
2/51
Four letters picked without replacement from dhhh. Give prob of sequence dddh.
0
Calculate prob of sequence py when two letters picked without replacement from {y: 4, p: 7}.
14/55
What is prob of sequence re when two letters picked without replacement from crrer?
3/20
Calculate prob of sequence dd when two letters picked without replacement from {d: 3, n: 2}.
3/10
Calculate prob of sequence uou when three letters picked without replacement from oenogeuguobonobu.
1/112
What is prob of sequence qqqq when four letters picked without replacement from qqqqqqqqq?
1
What is prob of sequence kgr when three letters picked without replacement from {s: 4, d: 1, t: 7, r: 2, g: 2, k: 1}?
1/1020
Calculate prob of sequence mq when two letters picked without replacement from {a: 1, m: 1, l: 2, g: 1, h: 2, q: 1}.
1/56
Calculate prob of sequence iji when three letters picked without replacement from ijjiiiiiiiijii.
55/364
Three letters picked without replacement from {j: 2, g: 5, n: 4, o: 7}. Give prob of sequence jjg.
5/2448
Four letters picked without replacement from {v: 1, i: 2, a: 4, t: 1, x: 1}. What is prob of sequence xvit?
1/1512
What is prob of sequence vxvl when four letters picked without replacement from {x: 1, l: 2, v: 2}?
1/30
Two letters picked without replacement from {t: 9, f: 7}. Give prob of sequence ft.
21/80
What is prob of sequence zdd when three letters picked without replacement from {z: 12, d: 7}?
28/323
Three letters picked without replacement from ehhmmehelfehhyyeeefe. What is prob of sequence lmh?
1/684
Two letters picked without replacement from {s: 1, p: 17}. What is prob of sequence ps?
1/18
Three letters picked without replacement from jjsjmjjgjjngngjjj. What is prob of sequence jmn?
1/204
What is prob of sequence bbss when four letters picked without replacement from {s: 15, b: 4}?
35/1292
Two letters picked without replacement from doioodidd. Give prob of sequence id.
1/9
Calculate prob of sequence fkff when four letters picked without replacement from {d: 2, q: 7, f: 3, x: 1, k: 5}.
1/2448
Calculate prob of sequence brr when three letters picked without replacement from rbbrxrrkrbjkkbrrj.
7/170
What is prob of sequence lt when two letters picked without replacement from kmcddlt?
1/42
Two letters picked without replacement from {a: 4, k: 7}. What is prob of sequence ka?
14/55
Calculate prob of sequence bp when two letters picked without replacement from {g: 1, j: 1, b: 1, s: 1, p: 1, x: 2}.
1/42
Two letters picked without replacement from {t: 2, c: 3, x: 4}. Give prob of sequence tx.
1/9
What is prob of sequence hhl when three letters picked without replacement from {h: 6, u: 2, l: 3, r: 1, g: 1}?
15/286
What is prob of sequence ma when two letters picked without replacement from pmyyyiiiyiyaymyi?
1/120
Calculate prob of sequence kuf when three letters picked without replacement from {k: 3, u: 3, q: 4, s: 1, f: 2, a: 4}.
3/680
Four letters picked without replacement from uacciiagaguuciii. What is prob of sequence gigi?
1/1092
What is prob of sequence viv when three letters picked without replacement from {i: 1, v: 4, b: 1, q: 1, l: 1, j: 4}?
1/110
What is prob of sequence bblt when four letters picked without replacement from bbbttttlllll?
1/99
Calculate prob of sequence rg when two letters picked without replacement from {r: 1, s: 2, p: 2, g: 1, d: 2}.
1/56
Two letters picked without replacement from hhjjhjhjhhhj. What is prob of sequence hh?
7/22
What is prob of sequence bww when three letters picked without replacement from {q: 1, g: 1, w: 5, z: 3, b: 2}?
1/33
Three letters picked without replacement from rjzjjoarrrrta. What is prob of sequence zjo?
1/572
What is prob of sequence om when two letters picked without replacement from ooioooomiieoiomo?
3/40
Two letters picked without replacement from {w: 5, f: 2, b: 1, g: 1}. What is prob of sequence bg?
1/72
What is prob of sequence fuf when three letters picked without replacement from {u: 1, x: 7, f: 3, n: 1}?
1/220
Three letters p
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{
"pile_set_name": "DM Mathematics"
}
|
c(h) wrt h?
-60*h**3
Suppose -w = 4*w - 20. Let b(k) be the second derivative of 1/6*k**w + 0*k**3 - 2*k + k**2 + 0. Find the first derivative of b(c) wrt c.
4*c
Suppose d = -3*h - 10, 0 = 3*d - d - 3*h - 16. Suppose -4*c = -3*z - 12, -2*c + 5*z + 5 + 1 = 0. Differentiate c + v**2 + v**2 - 5*v**2 + v**d wrt v.
-4*v
Let t(w) be the first derivative of -7*w**4/2 + 3*w**2/2 - 4*w - 19. What is the second derivative of t(m) wrt m?
-84*m
Let l(y) be the first derivative of -35*y**4/4 + 9*y**2/2 + y - 22. What is the second derivative of l(k) wrt k?
-210*k
Suppose -2 + 8 = 2*r. Suppose -r*j = -5*j + 4. What is the second derivative of 3*s**4 + 0*s + s - j*s**4 wrt s?
12*s**2
What is the derivative of -3*w**2 - w**2 - w**2 - 8 + 1 wrt w?
-10*w
What is the third derivative of -27*n**2 - 19*n**4 - 19*n**4 + 43*n**2 wrt n?
-912*n
Let p be ((-6)/4)/((-6)/16). Let a = p - 2. Find the second derivative of 2*j**2 + j**2 - j**2 + a*j wrt j.
4
Let u(m) be the third derivative of m**4/6 - m**3 + 4*m**2. What is the derivative of u(b) wrt b?
4
Suppose -4*t + 10 = c, 4*t = -0*c + 2*c + 4. Let j(f) be the first derivative of 3*f + 1 + 0*f**c + 0*f**3 - 3/4*f**4. What is the derivative of j(d) wrt d?
-9*d**2
Find the first derivative of 0*u**2 - 24 + 18*u**2 + 11*u**2 wrt u.
58*u
Let k(a) = 9*a**3 + 2*a**2 - 2*a. Let f(y) = 10*y**3 + y**2 - 3*y. Let d(m) = -2*f(m) + 3*k(m). What is the third derivative of d(u) wrt u?
42
Let b(g) = 16*g**2 - 19*g + 135. Let s(h) = 11*h**2 - 13*h + 90. Let u(n) = 5*b(n) - 7*s(n). Find the first derivative of u(w) wrt w.
6*w - 4
Suppose -22 = -11*w - 0. Let d(t) be the first derivative of 1/5*t**5 + 0*t**w + t**3 + 0*t**4 - 4 + 0*t. Find the third derivative of d(s) wrt s.
24*s
Let j(s) = 41*s**5 + 3*s**4 - 3*s**3 - 14*s**2. Let c(o) = o**4 - o**3. Let w(x) = -3*c(x) + j(x). Find the third derivative of w(i) wrt i.
2460*i**2
Let d(y) = y**3 + 3*y**2 + 2*y + 2. Let h be d(-2). What is the second derivative of 0*j**2 + j**2 - 6*j**h - 9*j + 3*j wrt j?
-10
Find the third derivative of -3*p**5 + 13*p**5 - 9*p**2 - 8*p**5 wrt p.
120*p**2
Let p(c) be the second derivative of -c + 1/3*c**3 + 3/2*c**2 + 0. What is the derivative of p(t) wrt t?
2
Let j(i) = -i**3 + 2*i**2 + 2. Let v be j(2). Find the third derivative of 5*o**2 + 3*o**2 - 3*o**2 - 3*o**4 - 4*o**v wrt o.
-72*o
Let q(p) = -10*p**2 + 4*p - 4. Let t(z) = 11*z**2 - 4*z + 5. Let b(h) = -5*q(h) - 4*t(h). Find the second derivative of b(v) wrt v.
12
Let u(c) be the second derivative of c**6/72 + c**4/12 - c**3/3 - 3*c. Let y(g) be the second derivative of u(g). Find the first derivative of y(j) wrt j.
10*j
Let w(y) be the second derivative of -y**8/2 + 5*y**4/3 + 5*y. Find the third derivative of w(b) wrt b.
-3360*b**3
Let b(d) = -25*d**3 + 13*d + 21. Let u(s) = 6*s**3 - 3*s - 5. Let v(l) = -6*b(l) - 26*u(l). Find the first derivative of v(z) wrt z.
-18*z**2
Suppose 3 = -4*c + 15. Let h(k) = -k**2 + 7*k - 6. Let a be h(5). What is the derivative of -f**4 + 0*f + c*f**a + 2 + 0*f wrt f?
8*f**3
Let x(r) = 6*r + 4. Let o(g) = -2*g + 6. Let s be o(6). Let c(k) = -7*k - 5. Let l(i) = s*x(i) - 5*c(i). What is the first derivative of l(y) wrt y?
-1
What is the second derivative of -18*i**5 - 11*i - 21*i**2 + 21*i**2 + 86*i**5 + 3 wrt i?
1360*i**3
Let j(k) = 4*k**3 + 3*k**2 + 17*k. Let g(t) = t**2 + t**3 + 1 + 3*t - 1 + 3*t. Let r(n) = -17*g(n) + 6*j(n). Find the third derivative of r(l) wrt l.
42
Let p(d) be the second derivative of -16*d**7/21 + 19*d**3/6 + 38*d. Find the second derivative of p(r) wrt r.
-640*r**3
Let o(u) be the first derivative of u**6/180 + u**5/40 + 2*u**3/3 - 3. Let d(q) be the third derivative of o(q). Find the second derivative of d(b) wrt b.
4
Let j(y) be the first derivative of -y**7/42 + y**4/3 - 4*y + 5. Let o(m) be the first derivative of j(m). Find the third derivative of o(g) wrt g.
-60*g**2
Let w = -8 - -13. Suppose w*o - 24 = 2*s, -o + 5*s + 26 = 3*o. Find the third derivative of 2*l**2 - o*l**4 + 2*l**4 - l**4 + 2*l**4 wrt l.
-24*l
Suppose 0 = -f - 4*r - 1 + 16, -18 = -5*f - r. What is the third derivative of -f*a**2 + 2*a**5 + 3*a**2 + 2*a**2 + a**2 wrt a?
120*a**2
Let d(x) = -2*x - 3. Suppose -b = -2 - 2. Let j(o) be the second derivative of o**2/2 - 20*o. Let t(q) = b*j(q) + d(q). Differentiate t(n) with respect to n.
-2
Let v(i) be the first derivative of -i**7/280 - i**4/6 - 4*i**3/3 - 4. Let f(a) be the third derivative of v(a). Differentiate f(g) wrt g.
-9*g**2
Suppose 7*m = m + 42. Find the second derivative of -6*o + m - 2*o**2 - 7 + o**2 wrt o.
-2
Let c(m) = m**3 + 6*m**2 + 6. Let v be c(-6). Suppose 3*x + z + 12 = v*x, 0 = 4*x - z - 17. Find the second derivative of 3*t + t - x*t - t**4 wrt t.
-12*t**2
Let h be 1 - (-13 - (1 + 2)). Let i = 10 + -7. Differentiate 4 + 0*y + 19*y**3 - h*y**i + 0*y wrt y.
6*y**2
Let h = 17 + -14. What is the second derivative of -h*q - 10*q**3 + q + 5*q + 15*q**3 wrt q?
30*q
Let v be (-6)/14 - 34/(-14). Differentiate 3 - o**v - 2 + 0 with respect to o.
-2*o
What is the second derivative of -5*l**4 + 13*l**4 + 11*l + 3*l - 5*l**4 wrt l?
36*l**2
Let j(t) = -t. Let k(u) = 16*u**2 - 5*u - 14. Let d(s) = -5*j(s) + k(s). What is the derivative of d(l) wrt l?
32*l
Find the second derivative of 6*v**2 - 2*v**2 + 4*v + 4*v - v wrt v.
8
Let i(g) be the first derivative of 4/3*g**3 + 0*g - 2*g**2 - 1. What is the second derivative of i(o) wrt o?
8
Let o(r) = 34*r**4 + 2*r**2 + 34*r + 2. Let u(d) = -d**2 - d - 1. Let g(s) = -o(s) - 2*u(s). What is the second derivative of g(c) wrt c?
-408*c**2
Let t(i) be the second derivative of i**8/1344 + i**5/120 - i**4/12 - 4*i. Let p(x) be the third derivative of t(x). What is the derivative of p(b) wrt b?
15*b**2
Let a(s) be the third derivative of s**7/21 + 3*s**3/2 - s**2 + 72*s. Differentiate a(h) with respect to h.
40*h**3
Find the second derivative of 12*x**3 - 4*x**3 - 4*x**3 + x - 6*x wrt x.
24*x
Let q(s) be the second derivative of 0*s**5 + 7/30*s**6 + 0 + 0*s**3 + 0*s**2 - 5/12*s**4 + 4*s. What is the third derivative of q(j) wrt j?
168*j
Let i = 2 + 1. What is the first derivative of -o**3 + 0 - 5 + 0*o**3 - i*o**3 wrt o?
-12*o**2
Let n be -2 + 7 - (-1)/(-1). Suppose -5*w + 10 = 3*p - 2, 0 = -n*w - 3*p + 9. Find the second derivative of 5 - 1 + v**3 - 4 + w*v wrt v.
6*v
Let l(u) be the second derivative of -7*u**6/30 + 7*u**3/6 - 13*u. What is the second derivative of l(s) wrt s?
-84*s**2
Suppose -8*i + 10 = -3*i. Find the third derivative of -3*j**2 - 2*j**4 - i*j**4 + 3*j**4 wrt j.
-24*j
Suppose 0 = -3*a - 2*a + 15. Let g be (a + 1)/(2 + 0). Find the third derivative of 3*q**g + 3*q**2 - 5*q**2 + q**6 wrt q.
120*q**3
Let s(k) be the third derivative of 0*k**3 + 0*k + 0*k**6 + 0*k**7 + 0*k**5 + 0 - 1/112*k**8 + k**2 + 1/12*k**4. What is the second derivative of s(w) wrt w?
-60*w**3
Let b(s) be the third derivative of -s**7/30 - s**3/3 - 8*s**2. What is the derivative of b(k) wrt k?
-28*k**3
Let c(i) be the third derivative of 7*i**5/20 + 13*i**4/24 - 25*i**2. Find the second derivative of c(q) wrt q.
42
Let r be (-24)/(-11) + 4/(-22). What is the second derivative of 3*s + 4*s**2 + 2 - r - 6*s**2 wrt s?
-4
Let m(c) = 18*c - 28. Let s(y) = 18*y - 27. Let o(z) = -5*m(z) + 4*s(z). Differentiate o(k) wrt k.
-18
What is the third derivative of 0*f**5 + f**5 + 2*f**2 + 0*f**5 wrt f?
60*f**2
Let t(y) = -y**4 - y**2 - 1. Let r(f) = 7*f**4 + 6*f**2 + 10. Let i(m) = r(m) + 6*t(m). Differentiate i(g) wrt g.
4*g**3
What is the second derivative of 18*q + 13*q**4 - 5*q - 6*q - 5*q**4 wrt q?
96*q**2
Let u(n) be the second derivative of n**8/1680 + n**6/144 + n**4/6 - 5*n. Let v(i) be the third derivative of u(i). Find the second derivative of v(s) wrt s.
24*s
Let i(m) be the first derivative of -19*m**7/7 - 5*m**3/3 + 9. What is the third derivative of i(u) wrt u?
-2280*u**3
Let f be (-11)/(-2) + (-8)/16. Find the second derivative of 0*p - p**5 + p + 0*p**5 - f*p wrt p.
-20*p**3
Let t = -6 - -10. Find the second derivative of t*q**4 - 96 + 3*q + 96 wrt q.
48*q**2
Let r(p) be the third derivative of -p**6/15 - p**5/5 - 9*p**2. What is the third derivative of r(d) wrt d?
-48
Suppose -4 = 5*l - n - 17, l - 9 = -3*n. What is the third derivative of -4*q**2 + 2*q**l + q**2 + 4*q**2 + q**2 w
|
{
"pile_set_name": "DM Mathematics"
}
|
Let o(x) be the third derivative of -x**5/60 - x**4/3 + 8*x**3/3 + 276*x**2. Calculate o(-10).
-4
Let b(y) = -14*y**2 + 25*y + 363. Let d(r) = -17*r**2 + 22*r + 365. Let l(g) = 6*b(g) - 5*d(g). Give l(-13).
2
Suppose 9*i - 4*i = 0, -4*i - 12 = 4*f. Let x be (-23)/f + (2/1)/6. Let g be 5/(-2)*x/(-4). Let c(t) = t - 9. Calculate c(g).
-4
Let j(l) = l**2 - 111 + 3*l + 112 - 4*l. Let c(k) = -k**3 - 3*k**2 + 3*k. Let y(g) = -c(g) - 2*j(g). Give y(0).
-2
Let l(y) = -3*y**2 - 17. Let w(p) = -p**2 - 6. Let i be (2 + 0)*(-9 - 90/(-12)). Let o(k) = i*l(k) + 8*w(k). Determine o(4).
19
Let h(v) = -v**2 + 3*v + 4. Suppose -5*d - 5*n = -140, -n = d + 2*d - 92. Suppose 0 = -b - 7 + 35. Let c = d - b. Determine h(c).
0
Let m(f) = 2*f**2 - 2*f + 5. Let c = 2488 - 2482. Determine m(c).
65
Let x be (-3 - -5) + -1 + 13. Let d = x - 14. Suppose 19*j - 21*j - 14 = d. Let c(l) = -l**2 - 7*l + 6. What is c(j)?
6
Let q(b) = 30*b - 447. Let x be q(15). Let t(s) = 0*s**2 + s - s**2 + 15 + 844*s**x - 845*s**3. Determine t(0).
15
Let w(v) be the third derivative of 0 + 0*v - 107*v**2 - 1/24*v**4 - 1/6*v**3. Suppose -j + 8 = -2*t + 2*j, -3*t - 4*j = -22. Give w(t).
-3
Let y = -11905 - -11896. Let r(k) = 5*k**2 + 46*k + 2. Determine r(y).
-7
Let p(r) = -r**2 - 3*r + 1. Let q(h) = h**3 + 41*h**2 - 39*h + 123. Let k be q(-42). Let g be k/6 - -3*(-25)/30. Calculate p(g).
1
Suppose 8*c = 10*c, 3*c + 245 = -5*d. Let z = d - -54. Let g(t) = -t + 10. Give g(z).
5
Let f(d) be the third derivative of d**6/120 - d**5/30 - d**4/4 + 2*d**3 - 13317*d**2. Determine f(2).
0
Let z(y) = -39*y + 83. Let i(u) = 71*u - 155. Let v(x) = 6*i(x) + 11*z(x). What is v(5)?
-32
Let d(q) be the first derivative of 3*q**2/2 + 20*q + 631. Determine d(-12).
-16
Let i(a) be the first derivative of -6*a**2 + 17*a - 2070. Calculate i(7).
-67
Let d(u) be the second derivative of -1/6*u**3 + 95*u - 11/2*u**2 + 0. Give d(-10).
-1
Let m = -4 + 2. Let a(r) = 44218 + 53*r - 110*r + 54*r - 44219. What is a(m)?
5
Let i(r) = -r**3 - 15*r**2 + 16*r + 15. Let x be 58/145 - (-246)/(-15). Calculate i(x).
15
Let f(c) = 20 - 11 - 12 - 5 - 3*c. Let b be f(-4). Suppose -b*x + 30 = -2*q - q, -5*q + 20 = 5*x. Let m(i) = -i**2 + 7*i - 2. What is m(x)?
4
Let i(b) be the first derivative of -b**4/2 + 7*b**3/3 - 7*b**2/2 + 13*b - 52. Let n(m) = m**3 - 4*m**2 + 4*m - 7. Let z(o) = 4*i(o) + 7*n(o). Determine z(0).
3
Let z be 4/(-14)*2*49/(-14). Let w(y) = 10 - 20*y**2 - 2*y - 3 + 5*y + 19*y**z. Suppose t = -2*t + 15. Calculate w(t).
-3
Let q(b) = 13 - 6*b - 8 - 12 + 10*b - 13. Calculate q(6).
4
Let h(f) be the first derivative of f**6/360 + f**5/60 - f**4/24 + 2*f**3/3 + 28*f**2 + 22. Let p(g) be the third derivative of h(g). What is p(1)?
2
Suppose 2*v = 3*c + 22, v + 7*c = 3*c - 11. Suppose -6 = 2*z, 3*z - 90 = 4*u + v*z. Let j be (-3)/(-7) - 54/u. Let f(w) = 7*w - 1. Give f(j).
20
Suppose 4*g = -9 + 1. Let v = 3 + g. Let s(m) be the third derivative of -m**6/8 + m**5/60 - m**4/12 + m**3/6 + 23*m**2 - 5*m. Determine s(v).
-15
Let z(w) = 2*w**3 - 28*w**2 + 14*w + 38. Let g(p) = 5*p**3 - 57*p**2 + 32*p + 73. Let o(t) = 3*g(t) - 7*z(t). Determine o(-25).
3
Let n = -5608 + 5611. Let s(l) = -2*l**3 - l**2 - 7*l + 4. Give s(n).
-80
Suppose -4*k = -h, -5*k = -2*h + 5 - 2. Let z(t) = -t**3 + 13*t**2 + 13*t + 16. Let p be z(14). Let l(g) = -7*g - p*g + 8*g. Give l(k).
-1
Suppose -f - 1 = t - 2*t, 0 = -4*f - 8. Let h(p) be the second derivative of 1/2*p**2 - 23/12*p**4 + 0 + 1/6*p**3 - 165*p. Determine h(t).
-23
Let g(i) = 8 + i**2 - 68*i + 44*i + 19. Let s be g(23). Let p(u) = 3*u - 7*u + 3*u - 3. Give p(s).
-7
Let f(a) = a**3 - 20*a**2 + 76*a - 21. Suppose 27*w = -752 + 1157. Give f(w).
-6
Let t(d) = 10*d - 11. Suppose -58*u = x - 55*u + 15, -5*u - 25 = 2*x. Determine t(x).
-11
Let a(z) = z**3 + 3*z**2 + z + 1. Let r = -14 - -17. Suppose r*i - 17 = -5. Suppose -3*s - 7 = i*m - 3*m, 2*s + m + 5 = 0. What is a(s)?
3
Suppose 3*x - 4*m - 153 = -169, -5*m - 10 = 0. Let l(c) = c**3 + 8*c**2 - 4*c - 7. What is l(x)?
25
Let i(g) = 2*g + 11. Let k(x) = -4*x - 13. Let b(n) = -3*i(n) - 2*k(n). Let f be -1*3 - (9 - 14 - 0). Give b(f).
-3
Let d = -488 - -855. Let m = d - 364. Let o(j) = j**2 - j + 1. Give o(m).
7
Let g(k) be the first derivative of 6*k + 0*k - 15*k - 2*k**2 - 133 + 8*k. What is g(-3)?
11
Let h(f) = -6. Let x(q) = -23*q + 24*q + 8 + 5 - 8. Let z(b) = -4*h(b) - 3*x(b). Calculate z(6).
-9
Let m(w) = 7*w**2 + 9*w + 6 - 40*w**2 + 2*w**3 + 12*w**2. Let k be m(10). Let s(x) be the third derivative of -x**4/24 - x**3/2 + 3*x**2 + 1. Give s(k).
1
Let t(j) = -j**3 - j**2 + 4*j + 7. Suppose 4*a - 7 = -m, 0 = -5*m + 4*a - 7*a + 18. Suppose 12 = p - 5*y, m*y + 8 + 1 = 0. Determine t(p).
13
Let r(a) = 42*a**3 - a - a**2 + 3*a + 42*a**3 - 3 - 83*a**3. Let x(y) = -y**3 + 12*y**2 - 13*y - 67. Let n be x(10). Give r(n).
21
Suppose -3*o = 5*t - 27, -2*o + o - 2*t = -10. Let j(z) = -9*z + 3. Let q(w) = 3*w - 1. Let s(i) = o*j(i) + 11*q(i). What is s(-5)?
16
Let t(y) be the third derivative of -y**5/60 + 13*y**4/24 + 11*y**3/6 - 2624*y**2. Give t(18).
-79
Let f(t) = -t. Let g(p) = -4*p + 15. Let h(a) = -3*f(a) + g(a). Suppose 4 = -4*q, 32*q = 5*j + 37*q - 45. Calculate h(j).
5
Let v(a) be the first derivative of -a**4/4 - 4*a**3/3 + 7*a**2 + 7*a - 1471. What is v(-6)?
-5
Let o(k) = k**2 + 40*k + 160. Suppose 197*v = 191*v - 5*h - 236, -4*v - 136 = -2*h. Calculate o(v).
16
Let h = 4 - 3. Suppose 71*v = 85*v - 504. Let p(l) = 23 + 12 + l - l**2 - v + 5*l**3. What is p(h)?
4
Let b(l) be the third derivative of 1/6*l**3 + 24*l**2 + 2*l + 1/10*l**5 - 1/24*l**4 + 0. Calculate b(1).
6
Suppose 12*r - 10*r - 6 = 0. Suppose 4*v = -r*z - z + 20, -v + 2*z = 10. Suppose -l - 6 + 12 = v. Let d(g) = -g**3 + 5*g**2 + 6*g + 6. Determine d(l).
6
Let k = 10236 + -10226. Let y(a) = 4*a**2 - 36*a - 36. Calculate y(k).
4
Let r = -46 - -91. Let s be 43 + (28/20)/((-21)/(-105)). Let b = r - s. Let q(y) = -y - 2. Determine q(b).
3
Let m(l) be the third derivative of -l**4/3 - 13*l**3/2 + 1965*l**2. Give m(-7).
17
Let b(a) be the third derivative of 0 - 1/120*a**6 + 3*a + 2*a**2 - 11/24*a**4 + 1/6*a**3 + 7/60*a**5. Calculate b(5).
-4
Suppose -2 = -947*s + 946*s. Let x(z) = -2*z - 13 - 2*z + 4 + 8 - s*z. Give x(-2).
11
Let h be 4*2/4 - 2. Let q(p) be the first derivative of -p**2/2 + 4*p + 5491. Determine q(h).
4
Let m(o) = -o**2 + 7*o + 8. Let r = 207 - 214. Let f be 0 - 1*(-3 + 3 + r). Determine m(f).
8
Let r(t) = -8 + 3 + 3578*t + 1 - 3559*t - 4*t**2. Give r(3).
17
Let p = -743 - -748. Suppose 3*w = -x + 27 - 14, 2*w + p*x = 0. Let a(g) = -g**2 + 4*g. What is a(w)?
-5
Let i(a) = 37*a + 251. Let r(o) = 18*o + 129. Let u(z) = -2*i(z) + 5*r(z). What is u(-9)?
-1
Let t(i) = 3*i**3 - i. Let k(w) = -16*w**3 - 12*w**2 + 4*w + 11. Let s(v) = -k(v) - 5*t(v). Give s(-12).
-23
Let z(v) = 7*v - 48. Let s(w) = 296*w + 2975. Let n be s(-10). What is z(n)?
57
Let v(u) = -u + 3. Let p(h) = 3*h - 8. Let c(m) = -4*p(m) - 11*v(m). Suppose -22*x + 32 = 10. Give c(x).
-2
Let q(g) be the second derivative of 0 + 5/2*g**2 - 1/6*g**3 - 1/12*g**4 + g. Suppose -8 = 3*x + 4*c, 2*x + 5*c + 75 - 72 = 0. Determine q(x).
-7
Let j = 96 + -85. Let s be (j - -1)/(102/(-153)). Let m(i) = i**2 + 19*i + 26. Calculate m(s).
8
Let w(r) = -r + 3. Let y be 6 + ((-2)/6 - (-52)/12). Let o be y/(8 + -28)*(0 + 4). Calculate w(o).
5
Suppose c + 5*l = 17, -l = -4 + 2. Let g(h) be the third derivative of 3/2*h**3 - 3/8*h**4 + 5*h**2 + 1/60*h**5 + 0 + 0*h. Calculate g(c).
-5
Let w(u) = -u**2 - 25*u + 85. Let p be w(-28). Let z(i) = -p - i - 4 + 8 - i**2. Give z(-4).
-9
Let a(y) = -47*y + 2. Let n(s) = -241*s + 13. Let x(m) = 15*a(m) - 3*n(m). Calculate x(-7).
-135
Let a(p) = p**3 + 66*p**2 + 127*p - 57. Let f be a(-64). Let r(w) = -2*w - 6. Determine r(f).
-20
Suppose 3*i = i. Let f(q) = -6*q - 2*q + 41 - 2*q + 5*q + 8*q + q**2 + q**3 - 2*q. Give f(i).
41
Let q = 22 + -23. Let c(u) = 29129*u**2 + 10*u**3 + 29125*u**2 - 58253*u**2. Calculate c(q).
-9
Let i = 81 + -76. Let p(h) = 2*h. Let z be p(3). Suppose -r + i*x + 9 = 0, 0 = -z*x + 2*x - 8. Let j(f) = 11*f**2 - 1. Give j(r).
10
Let z(r) be the second derivative of r**5/20 - 5*r**4/6 + 8*r**3/3 - 55*r**2/2 - 32*r - 28. Determine z(9).
8
Let n be (-2)/(-2 - -6)*-4. Let x(
|
{
"pile_set_name": "DM Mathematics"
}
|
rob of sequence mim?
1/165
Two letters picked without replacement from nbeqeqbbqe. What is prob of sequence en?
1/30
Calculate prob of sequence uquu when four letters picked without replacement from {q: 7, u: 3, m: 4}.
1/572
What is prob of sequence zv when two letters picked without replacement from ivivioittiothttz?
1/120
Four letters picked without replacement from {u: 2, e: 4, r: 1, o: 2, c: 1, i: 5}. What is prob of sequence ueic?
1/819
Calculate prob of sequence vd when two letters picked without replacement from wrvrrvrd.
1/28
What is prob of sequence mcc when three letters picked without replacement from {c: 3, w: 3, z: 1, s: 2, m: 9}?
3/272
Two letters picked without replacement from {i: 8, l: 1, s: 4}. Give prob of sequence ls.
1/39
What is prob of sequence vuvc when four letters picked without replacement from {e: 2, c: 1, u: 2, x: 1, w: 5, v: 4}?
1/1365
What is prob of sequence ffqn when four letters picked without replacement from fqnqqffqqqqqqqnf?
1/182
Three letters picked without replacement from {x: 5, d: 2, b: 6, o: 5, v: 1}. What is prob of sequence vbb?
5/969
Three letters picked without replacement from {u: 1, b: 4, x: 6, q: 2}. What is prob of sequence xxx?
10/143
What is prob of sequence fw when two letters picked without replacement from fdzwztgt?
1/56
What is prob of sequence eff when three letters picked without replacement from eefeeeezeefezeeeeeez?
1/228
Two letters picked without replacement from ojolcotoqttjojo. Give prob of sequence to.
3/35
Three letters picked without replacement from {b: 6}. What is prob of sequence bbb?
1
What is prob of sequence ztth when four letters picked without replacement from hhhhhthttztht?
7/858
What is prob of sequence gqg when three letters picked without replacement from {g: 2, q: 5}?
1/21
What is prob of sequence uubb when four letters picked without replacement from {b: 6, u: 13}?
65/1292
Three letters picked without replacement from lwaeaayyanaewnaa. Give prob of sequence lee.
1/1680
Three letters picked without replacement from vqqqqvyvyvyvvv. Give prob of sequence qqq.
1/91
What is prob of sequence epe when three letters picked without replacement from evppv?
0
Calculate prob of sequence kkdd when four letters picked without replacement from kwdwwwwkwwddwwdw.
1/1820
Two letters picked without replacement from {t: 1, e: 1, s: 6, r: 1, c: 1, g: 1}. Give prob of sequence rs.
3/55
Calculate prob of sequence fff when three letters picked without replacement from {n: 15, f: 4}.
4/969
Two letters picked without replacement from dururh. Give prob of sequence ru.
2/15
Calculate prob of sequence hzh when three letters picked without replacement from {h: 2, z: 16}.
1/153
Two letters picked without replacement from {c: 5, d: 9, f: 3, u: 2}. Give prob of sequence dd.
4/19
What is prob of sequence awvw when four letters picked without replacement from {w: 4, m: 2, v: 2, a: 2}?
1/105
Calculate prob of sequence vv when two letters picked without replacement from bbvv.
1/6
Two letters picked without replacement from mmjrmjmjjrjrjjjrjjj. What is prob of sequence jj?
55/171
Four letters picked without replacement from {o: 4, r: 2, i: 2}. What is prob of sequence roii?
1/105
Calculate prob of sequence zi when two letters picked without replacement from biz.
1/6
What is prob of sequence ii when two letters picked without replacement from eeeiiie?
1/7
Two letters picked without replacement from {d: 4, z: 6}. What is prob of sequence zz?
1/3
Three letters picked without replacement from {s: 3, e: 3}. What is prob of sequence ess?
3/20
Two letters picked without replacement from {i: 4, a: 10}. What is prob of sequence ii?
6/91
Four letters picked without replacement from ghgsrggghgggghgr. Give prob of sequence sghh.
1/728
Two letters picked without replacement from {s: 2, p: 2, x: 3, l: 6}. Give prob of sequence ls.
1/13
Two letters picked without replacement from anccanvauuunaaaakn. What is prob of sequence uu?
1/51
Four letters picked without replacement from {n: 2, c: 1, w: 1, h: 2}. Give prob of sequence wncn.
1/180
What is prob of sequence vvvk when four letters picked without replacement from {k: 5, v: 5}?
5/84
Calculate prob of sequence jkjj when four letters picked without replacement from {j: 6, r: 1, k: 12}.
5/323
Calculate prob of sequence dhd when three letters picked without replacement from ddddhhddd.
1/6
Calculate prob of sequence zzdd when four letters picked without replacement from zzddz.
1/10
What is prob of sequence tf when two letters picked without replacement from fttft?
3/10
Calculate prob of sequence fttv when four letters picked without replacement from {q: 10, v: 1, n: 1, t: 3, m: 1, f: 2}.
1/6120
Three letters picked without replacement from {c: 5, j: 15}. Give prob of sequence cjj.
35/228
Two letters picked without replacement from {s: 3, w: 3, a: 2}. What is prob of sequence ws?
9/56
Calculate prob of sequence yhhh when four letters picked without replacement from {h: 3, y: 12}.
1/455
Calculate prob of sequence qi when two letters picked without replacement from {i: 3, k: 1, q: 2, g: 10}.
1/40
Four letters picked without replacement from {z: 2, j: 4, f: 1, c: 3}. What is prob of sequence cczj?
1/105
Calculate prob of sequence aa when two letters picked without replacement from {o: 1, a: 2}.
1/3
Four letters picked without replacement from mmmpmpp. Give prob of sequence pmpp.
1/35
Three letters picked without replacement from imiraiiriimibiba. Give prob of sequence mmi.
1/210
Calculate prob of sequence ex when two letters picked without replacement from {x: 9, e: 3}.
9/44
Four letters picked without replacement from {p: 6, w: 7}. Give prob of sequence wpww.
21/286
Three letters picked without replacement from jrjrllwlllwllyrbjbjl. What is prob of sequence llw?
14/855
What is prob of sequence rwj when three letters picked without replacement from xxxrjxwmrrxxmjjj?
1/280
What is prob of sequence wwnt when four letters picked without replacement from {n: 1, w: 6, t: 3, e: 3, r: 2}?
1/364
What is prob of sequence wa when two letters picked without replacement from vwuwayyyvwynwu?
2/91
Calculate prob of sequence mmm when three letters picked without replacement from {k: 15, m: 3}.
1/816
Three letters picked without replacement from kkkk. What is prob of sequence kkk?
1
Three letters picked without replacement from {e: 5, v: 8}. What is prob of sequence vee?
40/429
Three letters picked without replacement from {i: 6, p: 12}. What is prob of sequence iii?
5/204
Calculate prob of sequence tcy when three letters picked without replacement from {c: 5, t: 3, y: 4}.
1/22
Two letters picked without replacement from {c: 1, r: 5, f: 7}. What is prob of sequence fr?
35/156
Four letters picked without replacement from xxxxxxccxcxxxxxx. What is prob of sequence cxxx?
33/280
Two letters picked without replacement from bbyyybbbyyyyyy. What is prob of sequence yy?
36/91
Two letters picked without replacement from vuluufuuyllluyyfvf. What is prob of sequence yy?
1/51
What is prob of sequence mx when two letters picked without replacement from {d: 3, x: 1, z: 1, m: 7}?
7/132
What is prob of sequence ewcj when four letters picked without replacement from {s: 4, w: 5, e: 1, c: 2, j: 2}?
5/6006
Calculate prob of sequence aaz when three letters picked without replacement from qqqzzqazzqazz.
1/143
What is prob of sequence iqil when four letters picked without replacement from ilixxiqqxxq?
1/440
Two letters picked without replacement from {a: 6, t: 1, y: 1, k: 2, x: 6, z: 2}. Give prob of sequence ta.
1/51
What is prob of sequence hha when three letters picked without replacement from {a: 5, h: 2, x: 2}?
5/252
Two letters picked without replacement from iwyxuibuwxiyxiyw. What is prob of sequence xy?
3/80
Calculate prob of sequence aa when two letters picked without replacement from ffafa.
1/10
Two letters picked without replacement from {g: 1, z: 5, i: 1, h: 4}. What is prob of sequence hg?
2/55
What is prob of sequence sh when two letters picked without replacement from {h: 1, m: 1, s: 1, y: 1, d: 1}?
1/20
Calculate prob of sequence nzii when four letters picked without replacement from pzilnniii.
1/126
Calculate prob of sequence ngnn when four letters picked without replacement from {g: 3, n:
|
{
"pile_set_name": "DM Mathematics"
}
|
cement from {w: 1, m: 1, e: 2, k: 2}?
1/30
Calculate prob of sequence an when two letters picked without replacement from aanaanaaaaaa.
5/33
What is prob of sequence ye when two letters picked without replacement from {y: 4, x: 2, d: 1, e: 3}?
2/15
Two letters picked without replacement from mmmsmnmummnnmmnnmmmm. What is prob of sequence sm?
13/380
Two letters picked without replacement from ghhtthhgh. Give prob of sequence hh.
5/18
Calculate prob of sequence yy when two letters picked without replacement from cyccy.
1/10
Two letters picked without replacement from {w: 7, c: 2, r: 7, a: 1}. What is prob of sequence aw?
7/272
Calculate prob of sequence ix when two letters picked without replacement from lllpleeleiveplxpee.
1/306
Calculate prob of sequence tdd when three letters picked without replacement from mddffddtdmfft.
10/429
Two letters picked without replacement from dusqttuutuds. What is prob of sequence dd?
1/66
What is prob of sequence faff when four letters picked without replacement from hhfaahaafffhaha?
2/455
Four letters picked without replacement from {v: 12, q: 6}. Give prob of sequence vvvv.
11/68
Two letters picked without replacement from dkgmkymkygdmk. What is prob of sequence gk?
2/39
What is prob of sequence to when two letters picked without replacement from {e: 1, t: 1, x: 1, o: 2, w: 1, m: 1}?
1/21
Calculate prob of sequence ef when two letters picked without replacement from {f: 5, e: 5, j: 1, s: 1, m: 4}.
5/48
Four letters picked without replacement from {w: 2, s: 1, j: 1, d: 2, k: 11, h: 1}. Give prob of sequence hkdk.
11/3672
What is prob of sequence hhw when three letters picked without replacement from lhwyhiyyhl?
1/120
Three letters picked without replacement from {m: 2, f: 1, c: 2, x: 2, j: 1}. What is prob of sequence mcm?
1/84
What is prob of sequence fw when two letters picked without replacement from {w: 4, s: 8, f: 1}?
1/39
Two letters picked without replacement from esuustqy. What is prob of sequence ey?
1/56
Four letters picked without replacement from dftifedtffre. Give prob of sequence fire.
1/1485
Four letters picked without replacement from {m: 6, c: 12}. Give prob of sequence cmcm.
11/204
Two letters picked without replacement from bbbbbhbbbbbbb. Give prob of sequence hb.
1/13
What is prob of sequence wb when two letters picked without replacement from {j: 1, w: 1, b: 1, v: 1, d: 1}?
1/20
Calculate prob of sequence td when two letters picked without replacement from rddkgtkn.
1/28
What is prob of sequence god when three letters picked without replacement from {d: 1, g: 4, o: 2}?
4/105
Two letters picked without replacement from {k: 10, j: 4}. What is prob of sequence jk?
20/91
Three letters picked without replacement from {v: 9, i: 9}. Give prob of sequence viv.
9/68
Two letters picked without replacement from kqqqqqkqqkk. What is prob of sequence kk?
6/55
Calculate prob of sequence xj when two letters picked without replacement from xjjxx.
3/10
What is prob of sequence bbvb when four letters picked without replacement from {h: 1, v: 2, b: 4}?
2/35
Four letters picked without replacement from {z: 1, i: 1, x: 2, k: 6, s: 5}. Give prob of sequence xsks.
2/273
Four letters picked without replacement from zgmmggmggggmmmmzgg. What is prob of sequence mmmm?
7/612
Two letters picked without replacement from nnnnbnnnnnnnnonnnono. Give prob of sequence no.
12/95
What is prob of sequence et when two letters picked without replacement from ywewvyynewewvweevnet?
3/190
Three letters picked without replacement from hkkhkkkkkhhkkhhkkk. What is prob of sequence khk?
11/68
Three letters picked without replacement from aaaaaaaaa. Give prob of sequence aaa.
1
Calculate prob of sequence tt when two letters picked without replacement from ftqftfqfqq.
1/45
Calculate prob of sequence wo when two letters picked without replacement from qqwowqwq.
3/56
Four letters picked without replacement from tmchhctcfcmcccctc. What is prob of sequence mttf?
1/4760
What is prob of sequence xss when three letters picked without replacement from xsbeebbexxbsbsebbq?
1/272
Calculate prob of sequence qh when two letters picked without replacement from {h: 11, q: 5}.
11/48
What is prob of sequence bg when two letters picked without replacement from {b: 8, g: 2}?
8/45
Calculate prob of sequence lze when three letters picked without replacement from exzxelexqxzlqu.
1/182
Two letters picked without replacement from xxxxuxxgxg. What is prob of sequence xu?
7/90
What is prob of sequence wexc when four letters picked without replacement from {n: 1, w: 1, c: 1, e: 5, x: 1}?
5/3024
Calculate prob of sequence wg when two letters picked without replacement from {h: 6, g: 7, s: 1, w: 3}.
21/272
Four letters picked without replacement from llgklmlmlmlkmtmg. What is prob of sequence tglg?
1/3640
Calculate prob of sequence dss when three letters picked without replacement from {s: 2, o: 3, n: 4, d: 1}.
1/360
Three letters picked without replacement from {v: 4, l: 1, t: 5, h: 1}. What is prob of sequence thv?
2/99
Calculate prob of sequence cc when two letters picked without replacement from {c: 7, w: 4}.
21/55
Calculate prob of sequence ny when two letters picked without replacement from {g: 3, h: 4, p: 3, y: 4, n: 2, m: 2}.
4/153
Calculate prob of sequence izy when three letters picked without replacement from zyyyzyyzzzzyzizzz.
1/68
Four letters picked without replacement from {c: 3, r: 1, e: 1, g: 2, m: 3}. What is prob of sequence mecg?
1/280
Three letters picked without replacement from {u: 2, c: 6, t: 2, x: 1}. Give prob of sequence uux.
1/495
Four letters picked without replacement from duullfzludrruz. What is prob of sequence frlr?
1/4004
Four letters picked without replacement from tpjrk. What is prob of sequence pkrj?
1/120
What is prob of sequence mzz when three letters picked without replacement from zzzzzzzzzzzzzmzzmzz?
16/171
Four letters picked without replacement from {y: 1, i: 1, v: 2, b: 2, x: 1, e: 1}. What is prob of sequence biby?
1/840
Two letters picked without replacement from wmbbqqed. Give prob of sequence em.
1/56
What is prob of sequence vh when two letters picked without replacement from hzvvv?
3/20
What is prob of sequence www when three letters picked without replacement from jwjwjjjwjjj?
1/165
Calculate prob of sequence rrtt when four letters picked without replacement from {t: 10, r: 4}.
45/1001
Three letters picked without replacement from qjmel. Give prob of sequence mql.
1/60
What is prob of sequence azcs when four letters picked without replacement from azzszcazzzzaaazzzcaa?
7/5814
Three letters picked without replacement from {i: 7, e: 8, u: 3}. What is prob of sequence iuu?
7/816
Two letters picked without replacement from gmkgggugugmigggui. Give prob of sequence ug.
27/272
Two letters picked without replacement from {w: 2, v: 2, u: 1}. Give prob of sequence vu.
1/10
Four letters picked without replacement from ykskskyysskkkykk. What is prob of sequence sskk?
1/65
What is prob of sequence ip when two letters picked without replacement from {i: 1, d: 1, b: 12, p: 1, w: 1, u: 1}?
1/272
Calculate prob of sequence hg when two letters picked without replacement from {e: 1, h: 1, g: 3, i: 2}.
1/14
What is prob of sequence rrbb when four letters picked without replacement from rbbrbr?
1/10
Two letters picked without replacement from {j: 17, v: 1, b: 1}. Give prob of sequence jj.
136/171
Four letters picked without replacement from {p: 2, q: 10, y: 4}. What is prob of sequence yyqp?
1/182
What is prob of sequence ygy when three letters picked without replacement from {g: 2, b: 1, c: 4, y: 6}?
5/143
Calculate prob of sequence vr when two letters picked without replacement from hvhvrvhvhv.
1/18
Calculate prob of sequence udd when three letters picked without replacement from ddudukukkuaudkddu.
3/68
What is prob of sequence jrj when three letters picked without replacement from {e: 3, r: 1, j: 16}?
2/57
Calculate prob of sequence lphn when four letters picked without replacement from {p: 3, l: 1, q: 6, h: 1, n: 3}.
3/8008
What is prob of sequence uy when two letters picked without replacement from {u: 3, b: 2, y: 2, v: 4, k: 1, n: 2}?
3/91
What is prob of sequence sjjj when four letters picked without replacement from jsssjss
|
{
"pile_set_name": "DM Mathematics"
}
|
ters picked without replacement from {o: 4}.
1
What is prob of sequence dc when two letters picked without replacement from {i: 6, c: 1, d: 3, h: 2, m: 3, e: 4}?
1/114
What is prob of sequence njsr when four letters picked without replacement from {s: 1, m: 1, j: 6, r: 3, n: 3, i: 6}?
3/6460
Calculate prob of sequence naa when three letters picked without replacement from apanpap.
1/35
Calculate prob of sequence gmn when three letters picked without replacement from gmxxvmxggxmmmnxxggm.
5/969
Four letters picked without replacement from xuykkkxxyxkkxxxhxuxx. What is prob of sequence hkkk?
1/1938
Three letters picked without replacement from {w: 2, y: 1, e: 2, s: 4, q: 4, p: 2}. What is prob of sequence pye?
2/1365
Two letters picked without replacement from hsssshhssss. What is prob of sequence hh?
3/55
What is prob of sequence php when three letters picked without replacement from {p: 2, h: 3}?
1/10
What is prob of sequence yx when two letters picked without replacement from {x: 3, q: 13, y: 1}?
3/272
Two letters picked without replacement from lrlrcclrluccclucc. What is prob of sequence rr?
3/136
Calculate prob of sequence ieeh when four letters picked without replacement from {i: 8, h: 2, e: 5}.
8/819
Two letters picked without replacement from {u: 1, q: 1, l: 4, t: 2}. What is prob of sequence ql?
1/14
What is prob of sequence ad when two letters picked without replacement from {s: 2, d: 7, a: 2}?
7/55
What is prob of sequence mm when two letters picked without replacement from {m: 5, e: 9}?
10/91
Two letters picked without replacement from {n: 3, a: 9}. Give prob of sequence aa.
6/11
Three letters picked without replacement from hhhhwhwhww. Give prob of sequence wwh.
1/10
Three letters picked without replacement from {q: 3, k: 5}. What is prob of sequence kqk?
5/28
Four letters picked without replacement from {o: 2, a: 1, w: 1, u: 2, f: 1, v: 1}. What is prob of sequence ooaf?
1/840
Calculate prob of sequence hq when two letters picked without replacement from qhfkqfkqff.
1/30
What is prob of sequence llh when three letters picked without replacement from {h: 13, l: 5}?
65/1224
What is prob of sequence vj when two letters picked without replacement from vvvjvvjvjjjj?
3/11
Calculate prob of sequence nh when two letters picked without replacement from nhrzrzrrh.
1/36
Calculate prob of sequence jj when two letters picked without replacement from {j: 2, x: 2}.
1/6
What is prob of sequence uig when three letters picked without replacement from {o: 6, g: 4, u: 5, i: 4}?
40/2907
Calculate prob of sequence zn when two letters picked without replacement from {v: 2, w: 8, n: 3, b: 1, z: 1, r: 2}.
3/272
Calculate prob of sequence sgd when three letters picked without replacement from dguhdsudddduhgg.
3/455
Two letters picked without replacement from {i: 4, d: 3}. What is prob of sequence ii?
2/7
Two letters picked without replacement from {c: 1, k: 1, u: 1, s: 1, n: 5, j: 3}. What is prob of sequence jj?
1/22
Three letters picked without replacement from piqqvlvqqvqlxii. What is prob of sequence llp?
1/1365
Two letters picked without replacement from {q: 2, j: 1, m: 3, d: 5, s: 1, f: 8}. Give prob of sequence mq.
3/190
Two letters picked without replacement from popppnpppppnppo. Give prob of sequence oo.
1/105
Two letters picked without replacement from {s: 4, i: 1, c: 8, b: 1, j: 1, h: 1}. What is prob of sequence sj?
1/60
Three letters picked without replacement from bggbbggrggrgbbrbg. Give prob of sequence gbb.
1/17
What is prob of sequence ny when two letters picked without replacement from nnnyyyy?
2/7
Four letters picked without replacement from ybiybyyjwbyywywb. Give prob of sequence wwyw.
1/1040
Four letters picked without replacement from {y: 9, v: 2}. Give prob of sequence yyvv.
1/55
Three letters picked without replacement from {t: 2, o: 1, s: 1, r: 1, k: 1, i: 2}. What is prob of sequence rti?
1/84
What is prob of sequence ppww when four letters picked without replacement from wwpwppppwpp?
7/110
What is prob of sequence ypk when three letters picked without replacement from fyffyyvklplfpk?
1/182
Two letters picked without replacement from qoyqoqqoqoq. What is prob of sequence oq?
12/55
Three letters picked without replacement from vvvwvvwvvvvwwwww. What is prob of sequence wwv?
9/80
Calculate prob of sequence tr when two letters picked without replacement from {t: 3, r: 1}.
1/4
What is prob of sequence raa when three letters picked without replacement from {r: 3, a: 3, x: 5, o: 1, c: 1}?
3/286
Four letters picked without replacement from {a: 14, m: 4}. Give prob of sequence mamm.
7/1530
Three letters picked without replacement from {e: 4, b: 1, z: 3, j: 6}. Give prob of sequence ezz.
1/91
Four letters picked without replacement from swtiiccxxwcw. Give prob of sequence xwxt.
1/1980
Four letters picked without replacement from xlxxxjlllxxlxlx. Give prob of sequence ljlx.
2/273
Three letters picked without replacement from rwwrwrwrawar. What is prob of sequence rwr?
5/66
What is prob of sequence shsa when four letters picked without replacement from {a: 5, e: 1, h: 1, s: 2, o: 3}?
1/1188
Calculate prob of sequence fp when two letters picked without replacement from fyfuupuyfffy.
5/132
What is prob of sequence uujd when four letters picked without replacement from djjjujcudddju?
1/143
Two letters picked without replacement from ysgpq. Give prob of sequence gs.
1/20
Calculate prob of sequence cv when two letters picked without replacement from {q: 1, z: 1, c: 3, v: 1, e: 1}.
1/14
Calculate prob of sequence rnnw when four letters picked without replacement from {r: 7, m: 2, n: 6, v: 1, w: 1}.
1/272
Calculate prob of sequence zuw when three letters picked without replacement from {z: 2, b: 1, o: 1, y: 1, u: 1, w: 1}.
1/105
Four letters picked without replacement from uuuuiuiuuiiiuiiuiiiu. What is prob of sequence uuuu?
14/323
Calculate prob of sequence at when two letters picked without replacement from {t: 3, a: 8}.
12/55
Four letters picked without replacement from {y: 6, v: 3, n: 1, r: 1, h: 4, k: 1}. What is prob of sequence vkhh?
3/3640
Three letters picked without replacement from {j: 5, a: 1, r: 1, k: 4}. What is prob of sequence kra?
2/495
Two letters picked without replacement from jpkruppppurkppkkur. What is prob of sequence jk?
2/153
Three letters picked without replacement from yyayyyytyyzazayayyza. What is prob of sequence tzy?
11/2280
Two letters picked without replacement from ooqoowoqwooqqo. What is prob of sequence qq?
6/91
Two letters picked without replacement from {l: 2, f: 2}. Give prob of sequence fl.
1/3
Four letters picked without replacement from {s: 1, f: 9, w: 1, y: 2, j: 4}. Give prob of sequence fwjs.
3/4760
Calculate prob of sequence yyll when four letters picked without replacement from {l: 2, y: 3}.
1/10
Three letters picked without replacement from xaxxaaaaxxxaxa. What is prob of sequence xax?
7/52
Four letters picked without replacement from {q: 4, b: 8, m: 4}. Give prob of sequence mmbq.
4/455
Three letters picked without replacement from bgbkg. Give prob of sequence bbg.
1/15
Calculate prob of sequence bik when three letters picked without replacement from seieblk.
1/210
Three letters picked without replacement from xeexleexaxxexexxea. What is prob of sequence ele?
7/816
What is prob of sequence aaja when four letters picked without replacement from aaaaaavakkjvjaavakaa?
22/969
Calculate prob of sequence vzaz when four letters picked without replacement from zaqaaatqavqqqzzvzvva.
4/1615
Calculate prob of sequence fdt when three letters picked without replacement from zttfjvd.
1/105
What is prob of sequence nnq when three letters picked without replacement from qnqxqqqnqq?
7/360
Three letters picked without replacement from {h: 1, s: 6, f: 1, t: 2, k: 5}. What is prob of sequence hst?
2/455
Two letters picked without replacement from {a: 2, e: 8}. What is prob of sequence ee?
28/45
Calculate prob of sequence bhh when three letters picked without replacement from hhhhbbhhhhbh.
9/55
Calculate prob of sequence ww when two letters picked without replacement from {i: 3, x: 1, w: 5, e: 4}.
5/39
Calculate prob of sequence cfu when three letters picked without replacement from {f: 1, c: 1, u: 2, k: 2, n: 1, x: 1}
|
{
"pile_set_name": "DM Mathematics"
}
|
ue? (a) -8/3 (b) -28 (c) -0.013 (d) -0.02 (e) -3 (f) -0.1 (g) -1/18
f
Which is the seventh biggest value? (a) 0.3 (b) 5 (c) -0.3 (d) -55 (e) -0.4 (f) -3/290 (g) 4
d
What is the smallest value in 0.1, 51, 1/3, -1/56024, -0.1?
-0.1
What is the second biggest value in 2, 71, -2/19, 1, 0.02, 1/14, -2?
2
What is the second smallest value in -0.28, -3/31, -20.5, -1.1?
-1.1
Which is the second smallest value? (a) 4 (b) 483 (c) -0.05 (d) 0.4 (e) -7 (f) 2/7
c
What is the biggest value in -9/17, -3, 146/17, -0.1, -4?
146/17
What is the fourth smallest value in -3, -2, 0.263, 13, 33, 12/5, 0.2?
0.263
Which is the smallest value? (a) -360 (b) -175555 (c) -0.3 (d) 1/12
b
Which is the third smallest value? (a) 65989 (b) -0.087 (c) 0.2
a
Which is the second smallest value? (a) 13133 (b) -26 (c) 1/6
c
Which is the smallest value? (a) 1621 (b) 1472 (c) 1/2
c
What is the second smallest value in 0, 0.4, -195954?
0
Which is the third biggest value? (a) 0.4 (b) 5.5 (c) -2904 (d) -2/13 (e) -1/5
d
What is the fourth smallest value in -2/7, 18/31, -106, -143?
18/31
Which is the third biggest value? (a) -6/1319 (b) -5 (c) -2/5 (d) 3 (e) 6/193
a
What is the biggest value in 73, -2/11335, -0.4, -7?
73
Which is the second smallest value? (a) -5 (b) 15 (c) 1/452 (d) 8 (e) 0 (f) -2
f
Which is the fifth smallest value? (a) -32 (b) 1/2 (c) 10 (d) -18 (e) 371 (f) 0.3
c
What is the second biggest value in -46/4595, -0.17, 2?
-46/4595
What is the second biggest value in -2569.5, -5, -1/5, -3, -4, 5, 0.6?
0.6
Which is the second smallest value? (a) -7574266 (b) 1 (c) 0.35 (d) 3 (e) 0.2
e
What is the third smallest value in 22, -32645/16, -2?
22
What is the smallest value in 0, -34/5, -873/4, -0.2?
-873/4
What is the biggest value in 2, 0.59, 7, 500/3?
500/3
Which is the third smallest value? (a) -83 (b) 423 (c) -0.2 (d) -3/5 (e) 0.06 (f) 5
c
What is the biggest value in -0.1, 1/30, -1261, 0.11?
0.11
What is the fifth biggest value in -11, -92, 5, -2/11, -1?
-92
What is the fifth biggest value in 3/2, 292, 5, 0.15, -2/5, 1?
0.15
Which is the third biggest value? (a) 0.25 (b) 5 (c) -4 (d) 436 (e) 11/5 (f) 6/7 (g) 0.3
e
What is the second biggest value in -3.3, -0.48, -496, -2/21, 0.2?
-2/21
What is the second biggest value in -81889, -17, -1?
-17
What is the fifth smallest value in 0.02, 2, -5, -0.5, -13, 463, 1/4?
1/4
Which is the sixth biggest value? (a) 4 (b) 0 (c) 41 (d) 46/3 (e) -345 (f) 5 (g) -3
g
Which is the second smallest value? (a) 2/189835 (b) 0 (c) 0.5
a
What is the biggest value in 3/32, -2/3, -77/2, 0.2491?
0.2491
Which is the second smallest value? (a) 2/41 (b) 0.029 (c) 248655/4
a
What is the third biggest value in -35, -7, -3, -5, -1/4, -0.28, 5?
-0.28
Which is the second smallest value? (a) -1/3 (b) 59 (c) 2/4039
c
What is the sixth smallest value in -3, 2/7, 357, -2/3, 3, 6, -0.2?
6
Which is the sixth biggest value? (a) 6 (b) -1.7 (c) -2 (d) -0.5 (e) -2/1425 (f) 0.2
c
What is the second smallest value in 0.187, 0.3, 16737?
0.3
Which is the sixth smallest value? (a) -10/23 (b) 24 (c) 3 (d) 1 (e) 2/75 (f) -3
b
Which is the second biggest value? (a) -5 (b) -235 (c) 3 (d) -7 (e) -66 (f) -3
f
What is the fourth smallest value in 3/7, 2421, 0.02, -0.1, -2/13, -5, 5?
0.02
Which is the smallest value? (a) 3 (b) 794 (c) -1/4 (d) 0.1 (e) -1617
e
What is the second biggest value in -381239, 0.1, -4, 2/19?
0.1
Which is the biggest value? (a) 3/40 (b) 11 (c) -0.072
b
What is the sixth smallest value in 5, -36, -3/5, 3, -2/9, 0.4, -77?
3
Which is the smallest value? (a) 39 (b) -4.5 (c) -337.4 (d) 4
c
What is the third smallest value in -0.325, 146, -4.26?
146
What is the fourth biggest value in -5, -0.0497, 0.09, -996?
-996
Which is the fourth biggest value? (a) -2 (b) 2 (c) 113 (d) 38 (e) -2/7 (f) 95 (g) -0.2
b
What is the second smallest value in -1.839, -0.22, -0.04, 2/3?
-0.22
Which is the third biggest value? (a) 53 (b) 5 (c) 1/2 (d) -2/5 (e) 51/1184
c
Which is the smallest value? (a) -776 (b) 3 (c) -220 (d) -2/155 (e) -0.3
a
What is the smallest value in 1.3472, 1/6, 0.008, 2/5, 6, -4?
-4
What is the biggest value in 29, -37, 3/893?
29
What is the fifth smallest value in -3/4, 0.3, -18, -76/9, 0.1773?
0.3
Which is the second biggest value? (a) -1346996 (b) -1 (c) 4
b
What is the third biggest value in 8, -4325, 71.9?
-4325
Which is the biggest value? (a) -29.33 (b) -1/14 (c) 47/10
c
What is the third smallest value in 2.76, -26, 490?
490
What is the second smallest value in 0.4, 213, -82, -3/4, -35, -1?
-35
What is the third smallest value in 5, -12, -7, 0, -17, -0.053?
-7
What is the second smallest value in -21/9395, 0.03, -0.4, 3?
-21/9395
Which is the second smallest value? (a) -19/7 (b) 11.4 (c) -5 (d) 2 (e) 37
a
What is the third biggest value in 42830, 3, 2/9?
2/9
Which is the third smallest value? (a) -11 (b) 9/37 (c) 135 (d) -2
b
What is the third biggest value in 10061, 1/4, 0.02656, -4?
0.02656
What is the sixth smallest value in -2/3, 0.25, 0.2, 0, -76, 5, -0.5?
0.25
Which is the biggest value? (a) 55 (b) -2/7 (c) 54 (d) 6/29 (e) 3/7
a
What is the smallest value in 1.8, 1/6, -1881/59?
-1881/59
Which is the third biggest value? (a) -8/67 (b) -19/3 (c) 0 (d) 0.19 (e) -0.02 (f) -1
e
Which is the third biggest value? (a) -1 (b) -2/11 (c) -2231997
c
What is the biggest value in -3/5, 41, 18/7?
41
What is the third biggest value in 44, -2, -12, 294/41?
-2
Which is the fifth smallest value? (a) -0.1 (b) -4/5 (c) 3/107 (d) -31.1 (e) 1/2
e
Which is the fifth biggest value? (a) 217 (b) -1 (c) -41 (d) 2 (e) 2/15 (f) 71
b
Which is the fifth biggest value? (a) -24 (b) -0.3 (c) -0.5 (d) -2/7 (e) 6 (f) 5 (g) 113
b
Which is the third smallest value? (a) -100 (b) 2/19 (c) 1 (d) 3094 (e) 0
b
What is the sixth smallest value in 2/105, 0.15, 3/5, 2, 0.37, 0.2?
2
Which is the third smallest value? (a) -5 (b) 15/22 (c) 0.5 (d) 867
b
What is the smallest value in -112, -9, 168/985?
-112
What is the fourth smallest value in -0.1, 0.55509, -10.9, -4?
0.55509
Which is the second smallest value? (a) 279 (b) 0.4 (c) 465 (d) -1/3 (e) -3/4
d
Which is the fourth biggest value? (a) 0.2 (b) 88.6 (c) -4 (d) -1/4 (e) -0.3 (f) 0.085 (g) -5
d
Which is the seventh smallest value? (a) 0.5 (b) 4 (c) 0.0524 (d) 1/3 (e) -0.48 (f) -4 (g) 1/4
b
Which is the fifth biggest value? (a) 2/23 (b) 4/13 (c) 193 (d) -5/8 (e) 0.5 (f) 3/7
a
Which is the fifth biggest value? (a) -3.1 (b) 2/3 (c) -1/4 (d) 1/7 (e) -26/7 (f) 0
a
Which is the biggest value? (a) 2 (b) -660.32 (c) -2/133
a
What is the smallest value in -5, -48880, -0.0255?
-48880
What is the biggest value in 160, -21.6, 5, 37?
160
Which is the fifth biggest value? (a) 4 (b) 1/64 (c) 1 (d) 2/7 (e) -4 (f) -94
e
What is the fourth biggest value in 0.12, -34/11, -0.01, -2/5?
-34/11
Which is the seventh biggest value? (a) -79 (b) 5/2 (c) -3/7 (d) -0.4 (e) 2/21 (f) -0.028 (g) -2
a
What is the seventh biggest value in 1, -2/7, 0.1, 3/7, -1, -1/15841, 0?
-1
Which is the biggest value? (a) -4 (b) 2404620 (c) -0.1
b
Which is the seventh biggest value? (a) 4/9 (b) -1 (c) -309 (d) -0.5 (e) 2 (f) -1/5 (g) -30/13
c
What is the fourth smallest value in 2/13, 0.088, 2, 0.13321, -0.1, -0.5?
0.13321
Which is the third smallest value? (a) -10 (b) -5 (c) -8/11 (d) 556.9
c
What is the fifth smallest value in 1/7, 64, -310, 0.012, -3/5, 1/2?
1/2
Which is the third smallest value? (a) 2/11 (b) 245307.7 (c) -2/7
b
What is the second smallest value in 18, -3/5, 25, 1, -2/3, -46?
-2/3
What is the biggest value in -2, 59093, 1/2, -12?
59093
Which is the biggest value? (a) 49097/11 (b) -126 (c) -3 (d) -0.4
a
What is the third smallest value in 250, -2/3, 20436?
20436
Which is the fifth smallest value? (a) -0.4 (b) -0.5 (c) -0.9 (d) 1073 (e) 130
d
What is the biggest value in -0.4, 4, -1, 725, 8, 0.2?
725
What is the fourth biggest value in -5/4, -1.7, 1, 9/7, 2, 0.4, 3/2?
1
Which is the biggest value? (a) 2 (b) -545086 (c) -1/13
a
What is the third biggest value in -1701.18, 21, -8, -1/2?
-8
What is the smalle
|
{
"pile_set_name": "DM Mathematics"
}
|
composite number?
True
Let l(y) = 2*y**3 + 43*y**2 + 6*y - 262. Is l(29) prime?
False
Suppose 0*c = -5*g - c - 35, -5*g + 5*c - 65 = 0. Let j(p) = 287*p + 40. Let m be j(g). Is 5 - m/15 - 4/10 prime?
False
Let z = -3851 - -12111. Let o = 2019 + z. Is o prime?
False
Suppose 8*x - 73 = 359. Suppose -3*u - 72 = -x. Is 400 - (u/6)/((-1)/2) a composite number?
True
Let l = 194 - 315. Let p = -44 - l. Is p prime?
False
Let l(i) = 241*i**2 + 3*i. Let y be 14 + -20 + 1*4. Let j be l(y). Is 2/(-2 + 3)*j/4 a composite number?
False
Suppose 141*b = -16*b + 63474001. Is b a prime number?
False
Let p = 472 + -473. Is (-1 + -14)*(680/(-15) + p) a prime number?
False
Let q(t) = -t**3 + 7*t**2 + 2*t - 20. Let w be q(7). Is (w/90*5)/(1/(-74829)) composite?
False
Suppose -165130 = -3*u + 4*o - 61755, -u = 5*o - 34433. Is u prime?
False
Let g(w) = 2*w**2 + 7*w + 1. Let r be g(-4). Suppose r*m - 18*m + 897 = 0. Is m a prime number?
False
Let j be (1*-1)/(3609/603 + -6). Let u = j - 68. Is u*(-5)/((-20)/(-4748)) composite?
False
Let y = -55 - -61. Let t(w) = 33*w**2 - 32*w**2 - 22*w - y - 8. Is t(-17) prime?
False
Let n(p) = -5*p**2 - 4*p**2 + 1 + 29*p + 12*p**2. Is n(-22) prime?
False
Suppose -11*q = 909653 - 2506978 - 2772194. Is q composite?
True
Is 6*7/(-63) + ((-26640592)/(-24) - -3) a prime number?
False
Suppose -55*o = -69*o + 70. Is 1*(o/(-20))/(1/(-7892)) prime?
True
Let w(x) = 4*x - 32. Let d be w(12). Let p(s) = 7 + d*s**2 + 8*s**2 - 5*s**2 - 18. Is p(-4) a composite number?
False
Suppose 3*i + 15*j = 14*j + 201298, -3*j = 4*i - 268389. Is i composite?
True
Is 150*23/138*61942/10 a prime number?
False
Let l = 503362 + -39191. Is l a prime number?
True
Let q = 167274 + 5627. Is q a composite number?
True
Let p = 115 - 115. Let d(r) = r + 2437. Is d(p) prime?
True
Let r be (-5 - (-65)/10)*210/9. Suppose -3*d - 2*d = -2*c - r, c - 5 = 0. Suppose 575 = -4*p + d*p. Is p a prime number?
False
Suppose 31*f - 3*s - 243684 = 29*f, -2*s + 4 = 0. Is 6/(-9) + f/45 composite?
False
Suppose -z + 105927 = 2*d, 0 = 40*d - 45*d - z + 264810. Is d prime?
False
Suppose 3*c - 123213 = -3*u, -100940 = -2*u + c - 18780. Is u a composite number?
False
Suppose 6*r + 3583 - 13381 = 0. Suppose 4*z - r = -389. Is z composite?
False
Let o = 34 - 34. Suppose 2*h - 2 = 2. Suppose -4*z = -h*l - 386, 5*l - l + 20 = o. Is z a prime number?
False
Is (10/(-21) + (-9)/(-63))*-15 - -114212 a composite number?
False
Suppose 1746 = 27*h + 70*h. Let u(v) = -56 + 3*v**2 - 5*v + 14*v + 2*v. Is u(h) a composite number?
True
Let j(c) = -c - 7005. Let q(n) = -2*n - 10508. Let h be (-4 + (-30)/(-4))/(2/4). Let s(k) = h*j(k) - 5*q(k). Is s(0) a composite number?
True
Let t be ((-154)/(-4))/((-10)/(-20)). Is (-10*t)/((-1)/3) - 1 a composite number?
False
Let o(v) = 2*v**2 - 4*v. Let c be o(3). Suppose 0*t = t - 2, m - c = -3*t. Suppose 0 = -5*w - m*w + 110. Is w composite?
True
Suppose -49*j + 222*j - 634697 = -107220. Is j composite?
False
Suppose 5*w + 29428 = -3*q + 4*q, -5*q - 2*w + 147167 = 0. Suppose -3*y + q = 13*u - 14*u, y + u - 9811 = 0. Is y prime?
True
Let h(m) = 35*m**2 + 153*m - 541. Is h(48) a composite number?
False
Let h = -40058 - -72312. Is (5 - 7)*h/(-4) prime?
True
Let m(v) = -v**2 + 2*v + 4. Let r be m(0). Suppose 0 = -3*g + d + 16, -g + 3*d = -3*g - r. Suppose 2332 = 3*z - n, -2*z - n + 1550 = -g*n. Is z prime?
False
Suppose -2*v + 89591 + 122616 = -q, -q + 318308 = 3*v. Is v composite?
False
Let b be 0 - -1 - ((5 - 2) + -5). Let s be -73*1/(b/(-57)). Suppose 5*k - 5*u + 710 = 2445, 4*k - 3*u = s. Is k a prime number?
False
Let j = -492 - -493. Is 602316/42 + 3/21*j composite?
False
Let j = -20 + 24. Suppose 5*t + 710 = 5*c, 3*c - j*t = 492 - 65. Suppose -c = 2*m - 1127. Is m a composite number?
True
Let b = 9931 - 22780. Let s = -3322 - b. Is s prime?
False
Let x(b) = -b**2 + 6*b + 7. Let u be x(7). Suppose -3*c = c + 2*o - 12104, u = 5*o - 20. Suppose 721 + c = 5*g. Is g prime?
False
Let k = 18789 - -160990. Is k a prime number?
True
Let d = 160 + 425. Is (1 + 12)/(d/(-299) - -2) a composite number?
True
Suppose -5*j + h = -4187, 8*j + 3*h = 5*j + 2523. Suppose 0 = 9*l - 35 - j. Is l a prime number?
True
Let y(z) = 120 - 66 + 244*z**2 + 56 + 53*z + 107. Is y(-4) composite?
True
Let w = 21377 + 6132. Is w prime?
True
Suppose 63*k - 2694521 = -8*k. Is k a prime number?
True
Let g = 68440 + -23955. Suppose -4*t = 4*n - g - 7343, 2*n - 12961 = -t. Is t prime?
True
Let q(r) = -169*r - 9. Suppose -5*l + 113 + 12 = 0. Let j = 21 - l. Is q(j) prime?
False
Let a be -12 + 9 + 2054/2. Let x = a + 1134. Let m = -756 + x. Is m a composite number?
True
Let a(n) = -2*n**3 - 5*n**2 + 19*n + 11. Let t(f) = -2*f + 20. Let d be t(13). Is a(d) a composite number?
False
Suppose -4*g + k + 2*k = -179970, -3*g + 134971 = k. Let t = g + -29082. Is t a prime number?
False
Let p(i) be the first derivative of -i**4/4 + 5*i**3 + 21*i**2/2 + 14*i + 77. Let c = -5 - -21. Is p(c) composite?
True
Let s = -932 - -4243. Let u = 6178 - s. Is u composite?
True
Suppose 35 = -9*x + 14*x. Suppose 17 = 6*i - x. Suppose -i*l = -208 - 52. Is l a prime number?
False
Let h(c) = -c**2 + 4*c - 1. Let i be h(2). Suppose -4*z = 5*v - 989, -7*v + 3*v + 741 = i*z. Is z a prime number?
True
Suppose 17 = 3*n + 2. Suppose -3*m - 3*d + 27 = 2*m, -n*m + 35 = 5*d. Suppose 566 = 5*v - m*q - 2154, 546 = v - q. Is v prime?
True
Suppose 0 = -4*n + 3*y + 1959, 3*n - 2*y - 1468 = -y. Let h = n + -284. Suppose -2*k = -573 - h. Is k a prime number?
True
Let p = -6869 - -2294. Let f = -3166 - p. Is f composite?
False
Suppose 3*f + 2*n = -2*n + 545, 0 = -5*f + 3*n + 947. Suppose -300 = -d + f. Is d prime?
True
Let n(a) = 2*a - 5. Let z be n(5). Let d = -9 + z. Let k(t) = 22*t**2 - 7*t + 1. Is k(d) composite?
True
Suppose -22*a - 8974 = -26*a - 5*z, -z - 9010 = -4*a. Is a a prime number?
True
Let u be ((-78)/9)/(9/(-28863)). Suppose 8*s - u = 33926. Is s a prime number?
False
Let u(x) = 25*x - 61. Let p be u(-10). Let l = 562 + p. Is l prime?
True
Let p(x) be the third derivative of -127*x**4/8 - 3*x**3/2 - x**2. Let k be p(-6). Let i = -1358 + k. Is i a composite number?
False
Let a(x) = -1057*x - 303. Let u be a(-21). Let i = u + -12449. Is i prime?
False
Let c be (1/6)/(3/54). Suppose -2*a + 3*i + 21257 = 0, -17*i = c*a - 19*i - 31883. Is a prime?
True
Let m(g) be the third derivative of 61*g**6/45 + g**5/120 - 13*g**3/6 - 20*g**2. Let v(w) be the first derivative of m(w). Is v(1) a composite number?
True
Let x be 4 + 1 + (70537 - -38). Is 6/21 - x/(-28) a composite number?
False
Let i be -71498*((-9)/6 + (0 - -1)). Suppose -7*h - 23772 = i. Let n = h - -13050. Is n composite?
False
Let a be (-2)/(-4)*(46 + 2)/(-3). Is 8049 - (-8 + 40)/a composite?
False
Let m(g) = -g**3 - g**2 - 1. Let f(b) = -63*b**3 - 5*b**2 - 8*b + 1. Let n(o) = -f(o) + 2*m(o). Let l be n(5). Is (0 + -1)/((-3)/l) prime?
True
Suppose -17 = 2*h + 5*s, 4*s - 6 = -4*h + 2*s. Let o(q) = -680*q - 2. Let v be o(h). Is (-7 + 6)/(2/v) composite?
False
Is (-350)/4*7912/(-230) + -3 a prime number?
False
Suppose 0 = 4*u - k - 29, k + 27 = 3*u + 6. Suppose -u*f - 30 = -3*f. Let d(z) = -6*z**3 - 4*z**2 - 8*z + 5. Is d(f) prime?
False
Let q(w) = 118*w**2 - 61*w - 14. Let v(j) = -3*j**2 + j. Let b(s) = q(s) + 2*v(s). Is b(11) a composite number?
False
Let u(r) = -118*r - 16. Let j be u(-10). Suppose -4*m = -3964 + j. Let a = -443 + m. Is a prime?
True
Let c(z) = -z**2 + z - 1. Let i(g) = 7*g**2 - 8*g + 7. Let r(o) = -6*c(o) - i(o). Let x be r(1). Suppose x = 4*h - 67 - 457. Is h prime?
True
Let p(t) = 13722*t + 16. Let z be p(1). Suppose 19544 + z = 18*v. Is v composite?
True
Let h = -5445 + 3194. Let a = 3410 + h. Is a a composite number?
True
Let o = 690 - 688. Suppose -o*f + f = 3, f - 4006 = -p. Is p prime?
False
Suppose 4*y + 2855244 = 4*w, -57*y = 3*w - 53*y - 2141405. Is w composite?
False
Let i = 1 - 2. Let s be 4/12 - (82/(-6) - -7). Is (s/2 - -5)/(i/(-134)) a prime number?
False
Let j(p) = -377*p - 27. Let o(t) = 188*t + 13. Let q(b) = 3*j(b) + 5*o(b). Let k be q(-4). Suppose -5*u + u = -k. Is u a prime number?
False
Suppose -2*o + 2*h = -6*o + 1842, o + 2*h = 462. Let a be (-2)/10 - (-1528)/(-10). Let p = o + a. Is p a prime number?
True
Suppose 181*o + 851042 = 5488
|
{
"pile_set_name": "DM Mathematics"
}
|
(x)).
-376*x**4 - 6*x**2
Let z(f) = f. Let n(a) be the first derivative of -a**5/24 + 4*a**3/3 + 3. Let g(h) be the third derivative of n(h). Calculate z(g(q)).
-5*q
Let f(p) = -3*p**2 + 2*p**2 + 2*p**2 - 3*p**2. Let i(z) = -z. Determine f(i(m)).
-2*m**2
Let v(c) = 4*c**2. Let g(z) be the second derivative of -z**3/3 - 10*z. Calculate g(v(a)).
-8*a**2
Let n(y) = -7*y**2. Let h(a) = -9*a + 11. Let d(x) = 5*x - 6. Let v(z) = 11*d(z) + 6*h(z). What is n(v(b))?
-7*b**2
Let l(f) = 3*f - 2*f - 2*f. Let d(g) = 6*g**2 + 17*g + 17. Let x(o) = 2*o**2 + 5 + 6*o - 2 + 3. Let b(i) = -6*d(i) + 17*x(i). Calculate l(b(m)).
2*m**2
Let o(d) = -2*d. Let n(s) = -28250*s. Give o(n(i)).
56500*i
Let n(z) = -z**2 + 26*z. Let r(i) = 2*i**2. Give r(n(x)).
2*x**4 - 104*x**3 + 1352*x**2
Let i(b) = -3*b**2. Suppose -w = -3*w + 4*c - 12, 0 = -2*w - 3*c + 16. Let f(o) = 0*o + w*o - o. Determine i(f(v)).
-3*v**2
Let y(q) = -2*q**2. Let s(b) be the second derivative of 0*b**2 - 5/12*b**4 + 0 - 2*b + 0*b**3. Give s(y(w)).
-20*w**4
Let f(y) = -470*y + 470*y - 26*y**2. Let z(a) = 2*a**2. Determine f(z(w)).
-104*w**4
Let y(o) = -2*o**2. Let z(i) = 68*i + 2. Calculate z(y(c)).
-136*c**2 + 2
Let s(v) = 2*v**2. Let b(h) = -2*h - 1. Let j be b(-2). Suppose 0 = j*c + c - 8. Let t(u) = u + c*u**2 - u. Give s(t(r)).
8*r**4
Let p(y) = -y**2 - 4*y - 2. Let l be p(-4). Let n be l + 2 + -2 - -4. Let b(d) = d**n + 6*d**2 - 5*d**2. Let x(w) = -3*w. Determine x(b(z)).
-6*z**2
Let f(q) = 2*q. Let x(n) = -58*n + 11. Give x(f(v)).
-116*v + 11
Let m(o) = 2*o. Let r(b) be the second derivative of b**4/3 + 4*b. What is r(m(v))?
16*v**2
Let w(v) = 28*v - 2. Let g(r) = 4*r. What is g(w(i))?
112*i - 8
Let u(c) = -c**2 - 3*c. Let y(t) = t**2 + t. Let a(g) = -u(g) - 3*y(g). Let v(p) = -4*p**2 + 10*p**2 + 8*p**2. Determine a(v(w)).
-392*w**4
Let k(f) be the second derivative of 2*f + 1/2*f**3 + 0 + 0*f**2. Let g(t) = 2*t + 0*t - 3*t. Determine g(k(n)).
-3*n
Let c(l) = -4*l**2. Let f(n) = 326*n**2. What is c(f(v))?
-425104*v**4
Suppose -4*w + 7 + 1 = 0. Let y(z) = w*z + 2*z + z - 8*z. Let o(g) = g. Determine y(o(l)).
-3*l
Let n(d) = 2*d**2. Let x(g) = -2*g**2. Give x(n(p)).
-8*p**4
Let b(h) be the second derivative of h**4/24 - 3*h**2/2 + 2*h. Let v(l) be the first derivative of b(l). Let j(g) = g. Determine j(v(w)).
w
Let a(l) = 3*l**2. Let c(q) = q**3 - 8*q**2 + 2*q - 10. Let u be c(8). Let j = u + 3. Let v(x) = -j + 9 - x. Determine v(a(i)).
-3*i**2
Let a(j) = -2*j. Let o(w) = -4*w + 5. Let k(i) = 0*i - 1 - 3*i + 2*i + 2*i. Let u(f) = -5*k(f) - o(f). Give u(a(z)).
2*z
Let f(w) = -2*w**2. Suppose 0*j - 3*j = -3*l - 18, -5*l = -3*j + 20. Let b(z) = -j*z + 11*z**2 + 5*z + 0*z. Determine f(b(q)).
-242*q**4
Let w(q) = q**2. Let r(n) = -6*n**2 + 15*n**2 - 10*n**2. Give r(w(p)).
-p**4
Let t(g) = -6*g**2. Let k(h) = 196*h. Calculate t(k(v)).
-230496*v**2
Let g(y) = -4*y. Let z(q) = -1. Let a(f) = 2*f + 8. Let w(b) = 3*a(b) + 24*z(b). Determine g(w(u)).
-24*u
Let g(v) = -6*v - 1. Let o(t) = -2*t**2. What is g(o(m))?
12*m**2 - 1
Let r(q) = 6*q - 5. Let p(a) = a - 1. Let c be -1*3/3*-3. Suppose 2*b + s = 5, -c*b - b - 11 = -5*s. Let z(g) = b*r(g) - 5*p(g). Let k(f) = -f**2. Give k(z(y)).
-y**2
Let x(v) = 8*v. Let l(m) = -54*m. Determine l(x(n)).
-432*n
Let c(y) be the second derivative of 0 - y**2 - y + 0*y**3 + 0*y**4 + 1/60*y**5. Let g(n) be the first derivative of c(n). Let m(j) = -2*j**2. What is g(m(q))?
4*q**4
Let f(k) = -2*k**2. Let h(r) = -37*r + 6. Let j(q) = 2625*q - 425. Let n(z) = 425*h(z) + 6*j(z). What is f(n(v))?
-1250*v**2
Let t(k) = -2 + 3*k + 4*k + 6. Let h(v) = 1. Let p(s) = -4*h(s) + t(s). Let m(q) = -788*q**2 + 787*q**2 + 2*q - 2*q. Determine p(m(n)).
-7*n**2
Let y(t) be the second derivative of -1/6*t**3 + t + 0*t**2 + 0. Let l(m) = -3*m. Determine y(l(w)).
3*w
Let b(f) = -2*f**2. Let l(x) = 22*x**2 - 29*x**2 + 9*x**2. Give l(b(u)).
8*u**4
Let l(x) = 19*x**2. Let u(y) = 6*y - 13*y + 8*y. Determine u(l(a)).
19*a**2
Let r(s) = -2*s. Let n(o) = -2 - 13*o - o + 2. Calculate n(r(k)).
28*k
Let c(d) = 31 + 4*d + 34 - 65. Let m(s) = 2*s. Give m(c(i)).
8*i
Let q(m) = -6*m. Let n(z) = -140*z. Calculate q(n(r)).
840*r
Let s be 3/3 + (1 - 0). Let d(a) = 0*a + 0*a + 7*a**2 - 8*a**s. Let c(j) = 8*j. What is d(c(b))?
-64*b**2
Let h(q) = -q. Suppose 2*g - 7 = 3*a - 3*g, 0 = 5*a - 3*g + 1. Let f be (4 + -1)*(0 + a). Let n(m) = -3*m**2 + 3*m**2 + m**2 + f*m**2. Determine h(n(l)).
-4*l**2
Let q(i) = 2*i + 0*i + 0*i + i. Let z(r) = -4*r. What is q(z(k))?
-12*k
Let a(j) = 2*j. Let k(w) = w. Let z(s) = a(s) - 3*k(s). Let h(f) be the first derivative of -7*f**3/3 + 1. Determine h(z(p)).
-7*p**2
Let m = 1 - -1. Let n(r) = 3*r**2 - r**2 + 6*r**m - 4*r**2. Let c(u) = u**2. What is c(n(l))?
16*l**4
Let n(x) = x - 1. Let g(r) = 162*r - 126. Let b(h) = -2*g(h) + 252*n(h). Let i(m) = -2*m**2. Give b(i(w)).
144*w**2
Let k(w) = -6*w**2. Let f(g) = -g**2. Let z(x) = -2*x**2. Let n(c) = 3*f(c) - z(c). Determine k(n(p)).
-6*p**4
Let d(l) = 8*l**2. Let v(a) = -7*a**2. Let y(u) = 5*d(u) + 4*v(u). Let t(h) = -2*h**2. Determine y(t(x)).
48*x**4
Let h(y) = -y. Let v(l) = -l**2 + 34. Determine h(v(j)).
j**2 - 34
Let g(w) = -22 - 5*w**2 + 22. Let z(d) = -d**2. Give g(z(k)).
-5*k**4
Let u(q) = q**2 - q. Suppose -2*t = -7*t + 5. Let o(d) = 6*d**2 - 4*d. Let c(r) = t*o(r) - 4*u(r). Let x(z) = -2*z. Give x(c(p)).
-4*p**2
Let q(p) = -2*p + 6. Let x(s) = -192*s. Give x(q(c)).
384*c - 1152
Let p(o) = -3310*o. Let m(q) = 2*q. Determine m(p(a)).
-6620*a
Let g(q) = -2*q**2 - 76 + 76 - 2*q**2. Let a(k) = -4*k**2. Give g(a(u)).
-64*u**4
Let z(d) = -5*d. Let o(x) = x + 6*x + 7*x - 13*x. What is z(o(i))?
-5*i
Let o(v) = -5*v**3 + 1. Let k be o(-1). Let f(t) = 6*t - 2*t - k*t. Let z(w) = -w + 2 - 2. What is f(z(y))?
2*y
Let g(p) = -2*p**2. Let o(a) be the first derivative of -a**5/20 + 3*a**2/2 + 3. Let u(x) be the second derivative of o(x). Give u(g(t)).
-12*t**4
Let x(t) be the second derivative of -23*t**3/3 - 17*t - 2. Let p(r) = -2*r**2. Give x(p(h)).
92*h**2
Let k(v) = 2*v. Let g(t) be the second derivative of t**4/4 + t**2 + t. Let s(y) be the first derivative of g(y). What is s(k(f))?
12*f
Let i(k) = -k. Suppose u = 14 + 6. Suppose -5*t - 4 = g, 2*t + 5*g = -t - u. Let f(r) = t*r**2 + 2*r**2 + r**2. What is f(i(x))?
3*x**2
Let u(n) = -39*n**2. Let l(y) = -54*y. Give u(l(b)).
-113724*b**2
Let h(z) = -16*z**2. Let j(b) = -13*b. What is h(j(q))?
-2704*q**2
Let m(f) = 8*f. Suppose -10 = -4*o + 38. Let h(x) = x**2 + 4*x - o*x + 8*x. Determine h(m(g)).
64*g**2
Let v(u) = -5*u - 3. Let y(d) = -17*d. What is v(y(p))?
85*p - 3
Let o(m) = -3*m**2. Let w(a) = -16*a**2. Calculate o(w(d)).
-768*d**4
Suppose -j + 2 = -0. Let k(t) = t + t + t**j - 2*t. Let a(z) = 2*z. What is a(k(x))?
2*x**2
Let b(d) = 9*d + 9. Let z(r) = r. Determine b(z(a)).
9*a + 9
Let t(f) = -31*f**2 + f. Let o(h) = 4*h**2. What is o(t(c))?
3844*c**4 - 248*c**3 + 4*c**2
Let d(u) = u. Suppose -14*y = -19*y. Let o(l) be the third derivative of 0*l - 2*l**2 + y - 1/30*l**5 + 0*l**4 + 0*l**3. Give d(o(n)).
-2*n**2
Let o(z) = -4*z**2. Let w = -16 - -22. Let q(g) = 6 + g**2 - w. Calculate q(o(m)).
16*m**4
Let k(m) = -3*m**2 + 2*m**2 + 5*m**2. Let j(l) = -3*l - 5. Let t(q) = -5*q - 8. Let z(y) = 8*j(y) - 5*t(y). Give z(k(c)).
4*c**2
Let m(l) = 29*l**2. Let i(q) = -66*q**2 - 2. Determine m(i(w)).
126324*w**4 + 7656*w**2 + 116
Let f(x) = 0*x**2 - 2*x**2 + 3*x**2. Let n(w) = -20 + 34 - 4*w - 14. Determine f(n(y)).
16*y**2
Let v(q) = 3*q - 3. Let z(a) = 56*a**2 + 1. What is z(v(u))?
504*u**2 - 1008*u + 505
Let n(w) = -5*w**2. Let x(c) = -30*c. Determine n(x(m)).
-4500*m**2
Let q(j) = 5*j**2. Let g(u) = -14*u**2. Let v(s) = -3*g(s) - 8*q(s). Let p(h) = 38*h**2. Give p(v(n)).
152*n**4
Let w be (-1)/((1*-2)/6). Let x(k) = -k + w*k + k. Let o(a) = -a + 1. Let t(i) = -4*i + 3. Let d(g) = 6*o(g) - 2*t(g). Calculate d(x(h)).
6*h
Let a(d) = -13*d. Let m(s) = -2*s**2 - 6. Calculate a(m(p)).
26*p**2 + 78
Let s(l) = -8*l + 6. Let d(h) = 17*h - 13. Let b(j) = 6*d(j) + 13*s(j). Let u(a) = -9*a. Determine b(u(f)).
18*f
Let t(k) = 8*k - 3. Let a(x) = 23*x - 8. Let g(f) = -3*a(f) + 8*t(f). Let m(q) = 2*q**2 + q**2 - 6*q**2. Calculate g(m(z)).
15*z**2
Let v(j) = j**2. Let p(d) = 1295*d**2. Give v(p(l)).
167
|
{
"pile_set_name": "DM Mathematics"
}
|
+ -1961. What is the remainder when p is divided by 34?
31
Suppose 623 = 6*n + 1637. Let h = -125 - n. What is the remainder when 87 is divided by h?
43
Let v = -294 + 428. Suppose -3*n - v = -146. Let t = -12 - -18. What is the remainder when t is divided by n?
2
Suppose j = 4*b + 1001 + 696, 0 = 4*b + 3*j + 1693. Let m = b + 426. What is the remainder when 72 is divided by m?
0
Let a = 61 - 36. What is the remainder when (3/6 + -2)*(-30 - (-32)/4) is divided by a?
8
Let t(v) = 40*v - 73. What is the remainder when t(22) is divided by 163?
155
Suppose 0 = -3*l - 0*w + 6*w + 564, -l - w + 203 = 0. Calculate the remainder when 212 is divided by l.
14
Let g be 4*(36/(-8) - -5)*-2. Let m = g + 13. Suppose -3*j + 5*j = -2*q + 62, -4*q + 122 = 5*j. What is the remainder when q is divided by m?
6
Suppose -44 = 3*p + a, 2*p - 5*a - 14 = -32. Let h = p - -237. What is the remainder when h is divided by 45?
43
Suppose 18*w = 4*m + 13*w - 42667, 4*m - 42687 = w. Calculate the remainder when m is divided by 34.
31
Suppose 4*m - 114 = -5*t, -m + 360 - 351 = -2*t. What is the remainder when 2070 is divided by m?
12
Let v = 16 - -64. Suppose 4*f + 3*q = 47, -2*q - 11 = -f - 3*q. Let t(o) = o + 7. Calculate the remainder when v is divided by t(f).
17
Suppose 96 = -5*s + 13*s. Suppose o - 3*u - 40 = 0, -4*u - s = 8. Calculate the remainder when o is divided by 12.
1
Let r = 3946 - -9040. What is the remainder when r is divided by 34?
32
Suppose 4*o - 42 = -h, -2*h = -374*o + 372*o - 24. Calculate the remainder when 5628 is divided by h.
12
Let g(t) be the third derivative of 41*t**4/24 - 37*t**3/6 - 2*t**2 - 5*t. Calculate the remainder when g(9) is divided by 67.
64
Let h(g) = -21*g**2 - 217*g + 45. Calculate the remainder when 266 is divided by h(-10).
36
Suppose -10 = -5*f, 3*n - 4*f = f + 197. Suppose 0 = 19*h - 273 - n. What is the remainder when h is divided by 7?
4
Let y(z) = z**3 - 9*z**2 + 4*z - 28. Let k be y(8). Let j = 69 + k. Calculate the remainder when 188 is divided by j.
8
Let i(d) = -d**3 + 8*d**2 + 9*d - 7. Let h be (0 + -12)*7/(14/(-4)). Suppose 20*b - 19*b = h. Calculate the remainder when i(8) is divided by b.
17
Let y = 639 + 183. What is the remainder when y is divided by 266?
24
Suppose x - 3*a = 30, -5*x - 52*a = -48*a - 245. What is the remainder when 70 is divided by (25/x)/5 - 402/(-27)?
10
Suppose 4*n - c - 1276 = c, 4*c - 1582 = -5*n. Calculate the remainder when 967 is divided by n.
13
Suppose 30 = 5*z - 5. Suppose 3*k + 6*p = 105, -108*k + 88 = -106*k + 2*p. What is the remainder when k is divided by z?
4
Let u(j) = -j**2 - 7*j + 12. Let h be u(-8). Let d(x) = -x**3 + 8*x**2 + x - 11. Let n be d(h). Let o = 68 - n. What is the remainder when 29 is divided by o?
7
Suppose 10*m = 5*m + w + 26, 2*m - 32 = -5*w. Calculate the remainder when 34 is divided by (-468)/26*(-4)/m.
10
Suppose 5*z - 281 = 5*u - 101, -104 = -3*z + u. Calculate the remainder when 2/3 - 130/(-3) is divided by z.
10
Suppose 0 = 3*f - 8*b + 47, 3*b = -0*b + 35 - 5. What is the remainder when (-1)/1 + 0 + 22 is divided by f?
10
Suppose 28*z - 544 = -6*z. Suppose 2*a + 2*k = 22, -3*a - 2*k + 46 - z = 0. What is the remainder when 18 is divided by a?
2
Let t(q) = -273*q - 1313. What is the remainder when 3171 is divided by t(-5)?
51
Let c be (-5360)/(-56) - 4/(-14). Suppose -9*a + 12*a - c = 0. Suppose 9*r + 588 = 1416. Calculate the remainder when r is divided by a.
28
Calculate the remainder when (-10 + 14)*(-5415)/(-20) is divided by 81.
30
Suppose 4*o - 16 = -4*q, -3*q + 13 = -4*o + 1. Suppose z = -0*z + q, 3*m - 3*z = -3. Suppose -48 = -m*y + y. Calculate the remainder when y is divided by 7.
3
Let u be (-3)/(-12) - (-46)/8*5. Suppose 0 = 4*j - q - u, 2*q + 19 = -j - 3*q. Calculate the remainder when 26 is divided by j*5/25*5.
2
What is the remainder when 87 is divided by 3*-1 + (-13 - 344/(-8))?
6
Suppose 217 = 5*f - 5*i - 378, -3*f + 5*i + 361 = 0. Let g = -93 + f. Calculate the remainder when (g/10)/((-6)/(-40)) is divided by 10.
6
Let n(q) = -69*q**3 + 4*q**2 + 22*q + 19. Calculate the remainder when 760 is divided by n(-1).
60
What is the remainder when 3736 is divided by (-996)/(-102) - (-28)/119?
6
Suppose -56 = -5*g - 4*q, 9*g = 4*g - 5*q + 55. Let t(r) = -r**3 + r + 275. What is the remainder when t(0) is divided by g?
11
Calculate the remainder when 5 + (3 - -148) + -2 is divided by 2/7 + ((-897)/(-21) - 3).
34
Let t = 943 + -914. Suppose 3*b + 3*k - 2665 = t, -4*k - 3592 = -4*b. What is the remainder when b is divided by 75?
73
Let g = 2411 - 2326. Calculate the remainder when 256 is divided by g.
1
Let o be ((-1212)/(-20))/((-5)/(-25)). Suppose 0 = -7*r + o - 16. What is the remainder when r is divided by 11?
8
Let t(j) = 91*j**2 + 2*j - 2. Calculate the remainder when t(-2) is divided by -19*(-1)/1 - (-87 - -86 - -2).
16
Let s = 9835 + -9739. What is the remainder when 16511 is divided by s?
95
Let n be ((-2135)/(-14) - 7)/((-6)/(-4)). Let o = n + -95. Suppose 5*s + 3*m = 179, s - 43 = -o*m + 5*m. Calculate the remainder when s is divided by 7.
2
Suppose -2*h = -6*h - 3*j - 1169, -3*j = -5*h - 1468. Let f = h + 324. What is the remainder when 132 is divided by f?
8
Let g be 3 + (-2 + 0 - -7). Suppose 0 = -g*t + 79 + 1. Calculate the remainder when 37 is divided by t.
7
Suppose -11*h + 214 = -3779. What is the remainder when h is divided by 5?
3
Suppose 3*b + 4*t - 13303 = 0, 0 = -79*b + 81*b - 4*t - 8842. Let r = b + -2866. What is the remainder when r is divided by 27?
24
Let x = 10866 + -10432. Calculate the remainder when x is divided by 137.
23
Let g be 3*4/(-4) + 5. Suppose 5*x = -g*i + 10, -11*x + 12*x - 41 = -3*i. What is the remainder when 748 is divided by i?
13
Let o = -930 - -630. Let z = -232 - o. What is the remainder when z is divided by 7?
5
Suppose -5*t - 2*g + 961 = 0, -5*t - g + 5*g + 943 = 0. Suppose 7*p + t = 380. What is the remainder when 510 is divided by p?
24
What is the remainder when 1320 is divided by 2364/16 + 152/(-228)*(-18)/(-16)?
144
Let g = -79 + 79. Suppose g = 2*h - 7*h + 10. Let c = -3 - -14. What is the remainder when c is divided by h?
1
Let o = -13 + 18. Suppose 92 = 2*q - 2*g - 36, 3*q = -2*g + 192. What is the remainder when q is divided by o?
4
Suppose 0 = 39*q - 1217 + 125. What is the remainder when q is divided by 9?
1
Let h(c) = 21*c + 3298. Calculate the remainder when h(-42) is divided by 59.
56
Suppose 13*q - 112 = 12*q. Let y = -577 + 597. Calculate the remainder when q is divided by y.
12
Let n(t) = 86*t + 1982. Let w = -5 - 5. Calculate the remainder when (12/w)/(10/(-75)) is divided by n(-23).
1
Suppose -2422*z = -2421*z - 123. Calculate the remainder when z is divided by 18.
15
Let q = 6453 + -6143. What is the remainder when q is divided by 61?
5
Suppose 2*v + 2*v = 248. Let s be (-13)/(39/(-6)) - -5. Suppose -5*t + v = s. Calculate the remainder when 40 is divided by t.
7
Let u(k) = -k**2 - 12*k + 4. Let a be u(-12). Suppose -196 = -a*p - 120. Let q(j) = -8*j - 31. Calculate the remainder when q(-13) is divided by p.
16
Let b be (-8206)/(-99) - (-1)/9. Suppose -b = 57*s - 58*s. Calculate the remainder when s is divided by 28.
27
Let p(b) = 4*b - 115. Let s be p(27). Let g(x) = -x**3 - 6*x**2 + 5*x - 9. Calculate the remainder when g(s) is divided by ((-4)/10)/(2/(-10)).
1
Let k(m) = -6*m + 54. Let c = -39 + 48. Suppose 26 = 2*x - 4*q, -2*x + 2*q + c = -11. Calculate the remainder when k(7) is divided by x.
5
Let a(d) = -d**3 - 7*d**2 + 21*d + 54. Calculate the remainder when a(-13) is divided by 16.
11
Let k(o) = 4*o**3 - 10*o**2 - o - 48. Let c be k(6). Suppose -c = 43*f - 58*f. What is the remainder when 85 is divided by f?
25
Let n(t) = 3*t**2 + 271*t - 1404. Let k = -72 - -225. What is the remainder when k is divided by n(5)?
23
Let j = -8 - -34. Let n be (-8 - -4)*j/(-4). Suppose 0 = 2*r + u - n, -3*r + 5*u = -2*r - 24. Calculate the remainder when 53 is divided by r.
11
Suppose -99 = -a - 22. Let i(w) = -w**3 - 25*w**2 + 28*w + 50. Let h be i(-26). What is the remainder when a is divided by 14 + 12 - (1 + h)?
23
Let s(m) = m + 1. Let c(a) = -16*a**2 + 3*a + 11. Let z(d) = -c(d) + s(d). Calculate the remainder when z(-3) is divided by 29.
24
Calculate the remainder when 58 + -48
|
{
"pile_set_name": "DM Mathematics"
}
|
ve -2*y = 5*h + 29, 4*h - 3*y + 8*y = -30 for h.
-5
Solve -2*v = l - 8, -2*v + 3*l = -2 + 10 for v.
2
Solve -4*a = l + 24, -a = 6*l - 2*l + 21 for a.
-5
Solve -14 = -4*r + 3*s, s - 8 = -54*r + 49*r for r.
2
Solve 2*k - 3*i - 22 = 0, -2*k - 5*i = -161 + 171 for k.
5
Solve z + 9 = 2*b, 0*z - 26 = -z - 5*b for z.
1
Solve -212 + 194 = 4*t - 2*d, 0 = -3*t - 2*d - 3 for t.
-3
Solve -5*k + 8 - 4 = 3*m, 0 = 5*m - 3*k - 18 for m.
3
Solve 0 = 4*z + 5*u + 13, -4*u + 9*u + 34 = 3*z for z.
3
Solve 2*r + 10 = 4*t - 0, 4*t = -2*r - 10 for r.
-5
Solve -3*x - 1 - 20 = 3*m, -x = 3*m + 13 for m.
-3
Solve -4*l + l - 4*k + 33 = 0, 4*l - 2*k - 22 = 0 for l.
7
Solve 4*n - 2 = -2*b + 2*n, 0 = -5*n + 5 for b.
0
Solve 5*p = g, -3*g + 6 = 4*p - 5*g for p.
-1
Solve w = 5*o - 29, 0*o = -5*o + 25 for w.
-4
Solve 4*v = 5*q + 15, -4*q + 22 - 3 = 3*v for v.
5
Solve 3*v + 5*i + 7 = 0, -3*v + 8 = -5*v - 5*i for v.
1
Solve 0 = 3*k + 3, 0 = -4*b - 5*k - 41 + 16 for b.
-5
Solve 4*q - 7*q = -3*h + 12, 0 = -5*h for q.
-4
Solve -5*m = 2*h + 6 - 20, -4*h - 24 = -3*m for h.
-3
Solve 0 = -5*n - 5*i - 35, -5*n + 5 = -0*n - 3*i for n.
-2
Solve 3*q = 4*n + 1453 - 1456, -5*q = 4*n - 27 for q.
3
Solve -3*l - 3*v = 12, 3*v - 12 = 5*l - 2*l for l.
-4
Solve w - 3 = -o, -3*o + 3*w - 3 = -5*o for o.
6
Solve 0 = 3*d + z - 3*z + 16, -3*z = -15 for d.
-2
Solve 0 = 5*m - 3*s - 29, m - 5 = -m - s for m.
4
Solve 6*r - r + 3*s + 14 = 0, -14 = 2*r - 3*s for r.
-4
Solve -35 = -5*i - 5*s, 4*s - 15 = 5 for i.
2
Solve -2*h - 2*n + 6*n = 0, 2*n + 8 = 5*h for h.
2
Solve 5*f - 1 = 3*f + 3*t, -4*f + 35 = 5*t for f.
5
Solve -4 + 12 = 5*s - 4*r, -5*s + 6 = -3*r for s.
0
Solve -4*o + t = -16, 5*o - 4*t - 6 = 3 for o.
5
Solve 4*l = 4*h, -4*l - 4*h + 7 = -1 for l.
1
Solve 0 = 3*f - 3, 4*u + 11 = -8*f + 7*f for u.
-3
Solve 3*m - 5 = -2*k + 11, m = 2*k for m.
4
Solve -4*g + 14 = 2*y, 7 = -y + 2*g + 6 for y.
3
Solve 23*h + c - 11 = 20*h, -3*h + 31 = -4*c for h.
5
Solve b - 23 = -3*a, 5*b - 30*a = -34*a + 38 for b.
2
Solve 4*k + 13 = -2*d - 1, -4*k - 9 = -3*d for d.
-1
Solve 3*j = 4*j + c - 2, 4*c = -3*j + 3 for j.
5
Solve 3*a - i + 6 = 2*i, -2*a - 4*i = 16 for a.
-4
Solve -5*s = 2*u - 0*u + 6, -2*s = -3*u + 10 for s.
-2
Solve -11*y + 12*y + 14 = 5*b, -7*b = -y - 20 for b.
3
Solve 0 = -w + p, p + p - 6 = 0 for w.
3
Solve 12*s - 14*s = 5*w, -5*s - 5*w = 0 for s.
0
Solve -4*l + 4*y - 1 = 3, -5*y = 3*l + 27 for l.
-4
Solve 0 = 2*c - z - 6, -z = 5*c - 2*z - 21 for c.
5
Solve 5*u = 5*q + 10, -u + 10 = 3*u - 5*q for u.
0
Solve 0 = -3*a - 4*h - 15, -4*h - 2 = 5*a + 23 for a.
-5
Solve 0 = v - 2*n - 8, -7*v + 3 = -11*v + n for v.
-2
Solve 5*k = -3*o - 20, 25 = -6*o + 2*o - 5*k for o.
-5
Solve 3*l + 16 = 2*z, 4*l - 3*l + z - 3 = 0 for l.
-2
Solve 3*d - 3*r = 27, 2*r = -d + 9 - 15 for d.
4
Solve -d + 1 = 2, -5*d - 5 = -i for i.
0
Solve -9 = -5*j + 2*m, 0 = -4*j + 8*j - 3*m - 10 for j.
1
Solve 0*a + 4*a + 5*o + 20 = 0, 0 = 2*a + 5*o + 10 for a.
-5
Solve -3*k + 1 = 5*z, -13*k + 11*k = 2*z + 2 for z.
2
Solve q + 1 = 4, -3*x - 2*q - 3 = 0 for x.
-3
Solve -k - 2*y = 2*y - 16, 40 = -5*k + 4*y for k.
-4
Solve -54*i + 56*i + 2 = -5*c, 12 = 4*c + 5*i for c.
-2
Solve -4*i - m - 2*m = -9, -2*i + m = 3 for i.
0
Solve -2*i - 4*w = 14, -4*i + 0 = 2*w + 4 for i.
1
Solve -3*b = -3*o - 1 + 4, -o = 0 for b.
-1
Solve 5*d = 2*y + 16, -5*d + 5*y + 25 = -0*d for d.
2
Solve -8 = 4*z - 2*d, -2*d - 6 = 3*z + d for z.
-2
Solve 2*l + 4*t = 18, 2*l - 6*l - 2*t + 24 = 0 for l.
5
Solve 10*k + 2*l = 14*k, -3*k + 18 = 3*l for k.
2
Solve 5*w - 2*t + 6 = -2, -3*t = 3 for w.
-2
Solve -4*t = -8*t + 4*s + 8, 3*s + 6 = -3*t for t.
0
Solve 4*r - 10 = -z, -r + 3*z = -2*r - 3 for r.
3
Solve 12 = -3*y + 2*m, -y - 3*m = 3 + 1 for y.
-4
Solve -3*q + 28 = 4*l, -3*q = -22 + 10 for l.
4
Solve -5*q - 35 = 2*j, j = 13*q - 17 + 77 for j.
-5
Solve 4*i = 4*a + 8, 5*a = 1963*i - 1966*i + 46 for a.
5
Solve 2*o + r + 5 = 0, -3*r + 719 - 704 = 0 for o.
-5
Solve z + 5 = 0, 35 = 2*t + 3*t - 3*z for t.
4
Solve 0 = 3*d - v + 3, d - 4*d = 4*v - 12 for d.
0
Solve 4*j - 2*k = k - 26, -6 = -3*k for j.
-5
Solve -c + 5 = 4*u, 10*u - 6*u = 4*c + 20 for c.
-3
Solve -5*f = r + 12, -f + 5*r = 4*f for f.
-2
Solve 3*w + 2 = -2*v, -2*v = -122*w + 120*w - 18 for w.
-4
Solve z - 6*z - 7 = -4*g, 0 = -3*g + 5*z + 4 for g.
3
Solve -5*p = -3*j - 2*p - 18, -j + 4*p - 9 = 0 for j.
-5
Solve 3*o + 7*v + 17 = 2*v, -5*o - 18 = -2*v for o.
-4
Solve -4*a + 20 = 2*k, -3*k = -a - 7*k + 19 for a.
3
Solve 5*g + 5*p - 40 = 0, p = 4*g - 6 - 11 for g.
5
Solve 2*n = u + 6, -4*n - 3 - 1 = 2*u for n.
1
Solve -16 = 3*g + 5*i, 1 - 7 = 2*g + i for g.
-2
Solve 4*c + 2*t = -3*t + 29, 2*c - t = -3 for c.
1
Solve -3*j - 4*p = 3 - 5, 0 = 4*j - 2*p + 12 for j.
-2
Solve -h - 5*z = 7, 9*h + 5 = 4*h + 5*z for h.
-2
Solve m + 0 + 14 = 5*b, -m - 6 = -b for m.
-4
Solve 0 = 3*v - c + 15, 3*c = 3*v - 0*c + 15 for v.
-5
Solve -2*g = 0, -4*w - 3*g = 5 - 17 for w.
3
Solve -5*v + 5*j + 2 = -3, v = 4*j - 2 for v.
2
Solve -3*x - 19 = 2*q + 6, 5 = 2*x - 3*q for x.
-5
Solve 3*r = 4*t + 5, 2*t = 7*t + r - 8 for t.
1
Solve -3*o - g = 4, -46 = -5*g - 21 for o.
-3
Solve 0 = r - 4*k - 3 + 16, 3*k = -4*r - 14 for r.
-5
Solve -5*j - 4*w = -0*w - 15, 2*j + 2*w - 8 = 0 for j.
-1
Solve 3*u = -3*z + 297 - 300, 0 = u - z + 5 for u.
-3
Solve -13*v + 4 = 2*d - 17*v, -8 = -4*d - v for d.
2
Solve 27*j - 32*j = -8*l + 46, -28 = l + 5*j for l.
2
Solve 20 = -100*g + 104*g, -g - 11 = -4*s for s.
4
Solve -7*k - 4*y = -2*k + 6, k + 6 = -2*y for k.
2
Solve v - 3 = 2*l, -3*l + 5*v + 4 + 2 = 0 for l.
-3
Solve 4*m + 24 = -4*i, 4*m + 27*i + 15 = 32*i for m.
-5
Solve 11*v - s + 12 = 8*v, -21 = 3*v - 4*s for v.
-3
Solve -3*g + 5 = -8*g - x, x = -2*g - 2 for g.
-1
Solve -2*z + 20 = 5*m, -z + 8 = -2*z + 2*m for z.
0
Solve -m + 1 = l, 4*m - 7 = 2*l + 3*m for l.
-2
Solve 4*f = o - 12, -63*o + 6 = 3*f - 60*o for f.
-2
Solve -5*u + 16 = -2*l + 13, -4*l = -4*u for u.
1
Solve 5*o - 149 = -4*s - 158, -3 = -o + 4*s for o.
-1
Solve 0 = -h + m + 1, 4*h + 10*m = 9*m - 21 for h.
-4
Solve 0 = -3*y + t + 2*t - 12, -5*y = t + 26 for y.
-5
Solve -4*o + 4*c - 8 = 0, -3*o - 2*c - 1 = -10 for o.
1
Solve q + 6 = x, 14 = 5*q - 2*x + 38 for q.
-4
Solve 3*m - 3*l = 12, m - l - 4 = -6*l for m.
4
Solve 15*n - 18*n = 5*x, 2*x + 2 + 4 = 0 for n.
5
Solve -2*q - 7*d + 8*d - 7 = 0, -q = -2*d - 1 for q.
-5
Solve 4*b + 8 = -5*s, 2*s - 6 + 2 = -4*b for b.
3
Solve -2 - 17 = 4*r + g, g - 1 = 0 for r.
-5
Solve 16 = -5*g + 4*p, -3*p + 16 = 4*g + p for g.
0
Solve -3*i - 10*a - 10 = -5*a, 5*i = -3*a + 10 for i.
5
Solve w = 3*p - 5, -6*w - 15 = -5*p - w for p.
1
Solve v - 4*u + 16 = 0, -3*v + 10 = 2*u - 12 for v.
4
Solve -y = 4*w + 2*y + 11, 0 = 4*y + 4 for w.
-2
Solve 2*t + 2*u = 8, 6*t + 5*u = 3*t + 14 for t.
3
Solve 3*c + 0*c + 2*f = 0, 3*f = -0*f for c.
0
Solve 5*w = -0*w - 3*o - 8, 0 = -w + o - 8 for w.
-4
Solve -3*u = 2*s + 2, -8 = -4*s - 2*u - u for s.
5
Solve -q + 13*j = 11*j + 3, 5*j = 5*q + 20 for q.
-5
Solve -4*t + 32 = -3*u, 5*u = u - 16 for t.
5
Solve 7 = 5*u - 2*t, -4*t + 0*t = -u + 5 for u.
1
Solve 40 = 5*r - 3*c, -3*c + 7 = r + 17 for r.
5
Solve -y + 0 = -3*n + 8, 2*n = 5*y + 27 for n.
1
Solve -5*w + 4*x = 17, -23 = w + 4*w - x for w.
-5
Solve -l + 1 = 0, -5*l + 23 = -45*n + 42*n for n.
-6
Solve 5*k + 30 = -5*f, -8*k + 3*k = -4*f + 12 for k.
-4
Solve -s - 1 = 0, 4*b + 8*s + 9 = 3*s for b.
-1
Solve 4*m + 12 = -4*s, -7*m - 6 = -5*m for s.
0
Solve -4*b = u + 15, 3*u - 25 = -u + b for u.
5
Solve 77*n + 2*k + 4 = 81*n, 4*k + 15 = n for n.
-1
Solve q - 6 = b, -b - 3 - 7 = -2*q for b.
-2
Solve 0 = -4*r - 5*a + 3*a + 6, 5*r - a + 10 = 0 for r.
-1
Solve -v - h - h = -2, 0 = 4*v - h - 17 for v.
4
Solve -x = 10*g - 6*g - 2, 4*x = 2*g + 8 for x.
2
Solve -5*b - 9 = -3*f, 2*f + 4 = -0 for b.
-3
Solve -2*a - 3*w = 10, 0*w - 4 = -a + 3*w for a.
-2
Solve 77*n - 74*n = -2*o + 4, -3*o + 3*n = -21 for o.
5
Solve 2*m + 16 = -2*m - u, 0 = -5*u + 20 for m.
-5
Solve -c - 6 = -g, -4*c = 3*g + 19 - 16 for c.
-3
Solve -9*s + 26 = -5*q - 8*s, 0 = 3*q - 5*s + 20 for q.
-5
Solve 2*x = 7*x - i + 27, 5*x + 3*i = -19 for x.
-5
Solve -3*q + 3*i + 15 = 0, 0 = -0*i + i + 4 for q.
1
Solve 5*q - 2*m = -1, 4 - 8 = 2*m for q.
-1
Solve 21 + 5 = 4*m - 5*w, -4*m = 5*w - 6 for m.
4
Solve f - 15 = -5*d, -4*d - 2*f + 0*f = -18 for d.
2
Solve 0 =
|
{
"pile_set_name": "DM Mathematics"
}
|
55824580
What is 19557054 times -0.1?
-1955705.4
Multiply -1219.024 and 18.
-21942.432
58 times -0.00818063
-0.47447654
Multiply -8.6548 and 5564.
-48155.3072
84.4*-0.26986
-22.776184
-935.8043 times -5
4679.0215
64.1773*0.5
32.08865
Work out -2139231 * -0.01.
21392.31
7.5151609 times 1
7.5151609
Work out -755 * 2717.
-2051335
Calculate -172351*-2.84.
489476.84
What is the product of 4804 and -4070.6?
-19555162.4
Multiply -5634791 and 0.1.
-563479.1
-0.1 * 275806
-27580.6
Product of 8792656 and 1.
8792656
Calculate 1*319123.86.
319123.86
-2*4346980
-8693960
-7 times -11726921
82088447
Calculate 50186.5*4.
200746
Work out 0.064 * -16875.
-1080
Work out -5046382 * 9.
-45417438
What is the product of -2.9317 and -0.02426?
0.071123042
What is the product of 1 and 6767.332?
6767.332
What is 492641 times 6?
2955846
What is the product of -0.774 and -0.193996?
0.150152904
Work out -30581 * 44.
-1345564
-442 times 592
-261664
61 times 6258.79
381786.19
Calculate 5656113*0.07.
395927.91
-623226*32
-19943232
0.1*1074.46899
107.446899
Product of 0.084 and -9.4885.
-0.797034
What is the product of 4857148 and 2?
9714296
What is the product of 2251.5914 and 0.3?
675.47742
What is -488134 times 212?
-103484408
Product of -110.285519 and 3.
-330.856557
Calculate -154756*11.1.
-1717791.6
Work out 920 * 14.87.
13680.4
Work out -0.2555 * -65310.
16686.705
0.2 times -3060908
-612181.6
4902.995 * 2.4
11767.188
-45 times 6345.4
-285543
Product of 6257711 and 0.5.
3128855.5
0.104 times 35561
3698.344
-45 times 5310036
-238951620
Work out 0 * 161383717.
0
-0.1 times 1083383
-108338.3
Product of -0.2 and 9951.633.
-1990.3266
What is -0.114704 times -0.11208?
0.01285602432
-19.8084 times 1932
-38269.8288
-95852*0.005
-479.26
Multiply -0.27 and -0.05084.
0.0137268
27651*-2454
-67855554
Product of 24 and 0.9307356.
22.3376544
1432.4 times 0.035859
51.3644316
Multiply -0.7 and 33885178.
-23719624.6
Work out 99384780 * 0.5.
49692390
-0.5 times -13325500
6662750
Product of -31122 and 0.84.
-26142.48
Multiply -0.14066886 and 5.
-0.7033443
Product of -0.2 and -49123.053.
9824.6106
142117 times 5.617
798271.189
What is -5 times -5465.189?
27325.945
3 * -7009267
-21027801
0.01844*3899
71.89756
Work out -89.07108 * -8.9.
792.732612
What is the product of 451533.462 and -2?
-903066.924
Work out 970530.1 * -0.026.
-25233.7826
17074*27.92
476706.08
Calculate 0.09989*-104.
-10.38856
Product of 8265337 and 4.
33061348
Work out 0.102 * -938746.
-95752.092
Multiply 135.9 and -1294.
-175854.6
0.0405925*-0.4
-0.016237
-22833481*-3
68500443
Work out 0.0596527603 * -0.4.
-0.02386110412
Calculate 49371*9.9.
488772.9
What is the product of -4 and 84259873?
-337039492
Product of -92391.3 and 6.
-554347.8
What is -98 times 1340907?
-131408886
Calculate -41.6703*-0.034.
1.4167902
-1720027.9 * -0.5
860013.95
Calculate -89.258481*0.5.
-44.6292405
1721.6 * -6.5
-11190.4
What is the product of -0.063 and 91754?
-5780.502
Product of 27643 and 0.035.
967.505
-13.8515*1864
-25819.196
What is 0.044289816 times -0.01?
-0.00044289816
Calculate -516.994069*-4.
2067.976276
Product of 0.586 and 356175.
208718.55
Product of -150181 and -1422.
213557382
-3 * 76821221
-230463663
Work out 13456128 * 0.
0
What is the product of 573 and 94889?
54371397
Product of 2099.1 and -32614.
-68460047.4
Calculate -0.5*-16.48533.
8.242665
Calculate 29324538*-5.
-146622690
Multiply -452.78 and 343.
-155303.54
-2557.45306 * 1
-2557.45306
What is the product of 67 and 5.1912?
347.8104
48.0996 * 2055
98844.678
7 * -0.0829884
-0.5809188
-5 times 10066851
-50334255
20.7 times 31156
644929.2
What is -15917 times 0.127?
-2021.459
Product of -9459691 and 81.
-766234971
790.14 * 1.09
861.2526
What is 31.187 times 179?
5582.473
What is the product of 2 and -103072.958?
-206145.916
What is the product of -290.868 and 6?
-1745.208
7 * 247.1251
1729.8757
-26.64 times 9.4572
-251.939808
2280.5*32.7
74572.35
Work out -228429565 * 0.3.
-68528869.5
-27896677 times -0.5
13948338.5
-0.3 * -25435710
7630713
0.49 * -730400
-357896
0.1 times 5281508.3
528150.83
1770437 times 1.7
3009742.9
-184095481 * 3
-552286443
-0.5*-1211.377
605.6885
Product of 1.8789999 and -0.12.
-0.225479988
Multiply 0.05 and 14225.883.
711.29415
What is 9 times 1210.541?
10894.869
Work out -485477 * 6.
-2912862
Multiply 0.1 and 0.299278899.
0.0299278899
-482*7730
-3725860
Work out -34773 * 0.1619.
-5629.7487
Product of -0.1026 and 16504.
-1693.3104
-0.16479501 times -1
0.16479501
Work out -927.2 * -0.4026.
373.29072
-3359 times 0.7055
-2369.7745
-42582.568 times -3
127747.704
-0.2380814*-3
0.7142442
0.09 * 62720
5644.8
Work out -159291 * -14.
2230074
Product of -0.012409 and 1.63.
-0.02022667
Multiply -16.5689 and 2.
-33.1378
Calculate 15*-5588.27.
-83824.05
Product of -1873.16 and -178.
333422.48
Product of 3020 and 5.079.
15338.58
Product of -0.1086 and -146.01.
15.856686
-0.5517962 * 0.048
-0.0264862176
-10*-0.0162278
0.162278
What is 2.44 times -1.9234?
-4.693096
What is the product of -2.549428 and -5?
12.74714
-4 times -586.55121
2346.20484
What is the product of 471897.4 and 0.5?
235948.7
What is the product of -125 and -68.53?
8566.25
Work out -2856 * -3.718.
10618.608
What is 62.595 times -2625?
-164311.875
Multiply -0.9 and 1235.695.
-1112.1255
-2916.9981 * -4
11667.9924
Product of -2 and -6869109.
13738218
Product of -0.2 and -1243776.
248755.2
Work out -25029.7822 * -0.1.
2502.97822
Multiply -7481.7457 and -0.4.
2992.69828
Multiply -510765 and -1.
510765
24*14.462789
347.106936
Multiply -31 and -1289032.
39959992
What is 0.0776 times 38898?
3018.4848
What is the product of -11.763 and -2.269?
26.690247
-15.361 times -25369
389693.209
What is -541083076 times 5?
-2705415380
Work out -1657 * 419221.
-694649197
21547 times 9628
207454516
What is -1.9 times -476510.6?
905370.14
What is 0.5 times -28.184746?
-14.092373
Multiply -0.55 and 0.0635356.
-0.03494458
Calculate -89*-2663163.
237021507
Calculate -239201258*0.3.
-71760377.4
What is the product of -33510.1 and 43?
-1440934.3
-1868*-17491
32673188
What is -14475725 times 1?
-14475725
Product of 8.463 and 694.
5873.322
-0.25 times 1178535
-294633.75
Work out -1 * 10973733.
-10973733
Calculate -31670*0.94.
-29769.8
-44.97 * 6.35
-285.5595
-1853 times 0.1096
-203.0888
18 * -528284
-9509112
-12323.154 * 4
-49292.616
0.007 times 3749.18
26.24426
-2123172.2 * -0.3
636951.66
Work out 2.9570902 * 5.
14.785451
Work out 8602 * 6.965.
59912.93
Work out 1570587 * 6.4.
10051756.8
Product of -1.072 and 106.
-113.632
What is the product of -865004.5 and 8?
-6920036
17722.23 times 0.09
1595.0007
Multiply 2338311 and -3.
-7014933
What is 29241044 times 1.9?
55557983.6
Work out -0.4 * -0.17764535.
0.07105814
What is the product of 113 and 1289.817?
145749.321
-1387 times 12891
-17879817
Work out -1.7 * -144670.
245939
Multiply -7528 and 2860.
-21530080
Product of 0.192 and -524253.
-100656.576
Product of 2857566 and 0.045.
128590.47
Work out 0.34 * -7.2.
-2.448
What is -103 times 57888.05?
-5962469.15
Product of -0.4 and -0.03657324.
0.014629296
-0.3*-73181028
21954308.4
What is -248 times -52.608?
13046.784
Calculate -1376*-1523.
2095648
-44114*-49.6
2188054.4
Work out -100496 * -5980.
600966080
Calculate -107610*-86.
9254460
What is -0.2 times 6716500?
-1343300
What is the product of 14.1 and -292926?
-4130256.6
What is the product of -200173.4262 and -4?
800693.7048
What is the product of 185502.09 and -8?
-1484016.72
-2644597 * -2
5289194
Product of -0.132 and 11.82732.
-1.56120624
What is 12322.55 times 1.5?
18483.825
Multiply -64 and -71.166.
4554.624
0.1 * 8543.224
854.3224
-253.1 * -15627.5
3955320.25
-69319088 * 0.5
-34659544
Calculate 0.35*540930.
189325.5
Work out 505687 * -0.085.
-42983.395
-33.8826 times -7.6
257.50776
Multiply 592 and -65768.
-38934656
133 times 18616
2475928
-3.537485*0.1
-0.3537485
Work out 3 * -4334.9963.
-13004.9889
21 * 42.7963
898.7223
-15997*-0.19491
3117.97527
Calculate -15270.8787*-0.3.
4581.26361
Multiply 4.15 and -5822.
-24161.3
-1750.1*122.4
-214212.24
What is -1.2 times -929673?
1115607.6
What is -1209 times 0.27893?
-337.22637
Work out -54.729877 * -1.
54.729877
Multiply 0.2103834 and 78.
16.4099052
-18.748 * 0.045873
-0.860027004
What is 15803903 times -2?
-31607806
-21609*-72
|
{
"pile_set_name": "DM Mathematics"
}
|
w(b) wrt b.
-198*b**2
Let i(a) be the third derivative of -25*a**4/2 + 487*a**3/6 - 428*a**2. Differentiate i(w) wrt w.
-300
Let p(c) = -23*c**2 + 2*c + 27. Let g(j) = -68*j**2 + 7*j + 81. Let v = 51 - 58. Let m(z) = v*p(z) + 2*g(z). Differentiate m(q) with respect to q.
50*q
Let x(v) = v**3 - v**2 + v. Let q(h) = 174*h**4 + 4*h**3 + 13*h**2 + 4*h. Let t(r) = -q(r) + 4*x(r). Find the third derivative of t(c) wrt c.
-4176*c
Let a = -17 + 17. Suppose -3*l + 13 + 8 = a. What is the third derivative of -l*v**3 - 2*v**2 + v**3 + 2*v**3 + 6*v**2 wrt v?
-24
Let t = -762 - -766. Let q(b) be the first derivative of 0*b**2 - 10 + t*b - 2/3*b**3. What is the first derivative of q(a) wrt a?
-4*a
Let b(w) be the second derivative of 0*w**5 + 0*w**3 + 0 + 0*w**6 - 38*w - 2/7*w**7 + 0*w**2 + 2/3*w**4. What is the third derivative of b(x) wrt x?
-720*x**2
Let s(g) = -496*g - 208. Let z(x) = -496*x - 213. Let o(f) = 5*s(f) - 6*z(f). What is the first derivative of o(k) wrt k?
496
Let u(n) be the second derivative of 19*n**8/1680 + n**4 - 7*n**3/6 + 23*n. Let g(l) be the second derivative of u(l). Find the first derivative of g(h) wrt h.
76*h**3
Let d(t) be the first derivative of 2*t**7/35 - 5*t**4/24 - 13*t**2/2 + 5. Let f(i) be the second derivative of d(i). Find the second derivative of f(a) wrt a.
144*a**2
Let m be 14/21 + 62/6. Find the first derivative of -4*c**2 - 437*c**3 + m + 434*c**3 + 4*c**2 wrt c.
-9*c**2
Let m(z) be the second derivative of 0*z**2 + 0 + 0*z**6 + 0*z**4 + 4/21*z**7 + 10/3*z**3 - 11*z + 0*z**5. What is the second derivative of m(p) wrt p?
160*p**3
Differentiate -15 + 146*u**4 + 13 - 51 + 2*u**4 with respect to u.
592*u**3
Differentiate 111*i + 172 - 17*i - 238*i wrt i.
-144
What is the second derivative of 8*t**3 - 1 + 2*t - 22 - 21*t**2 - 5*t**3 wrt t?
18*t - 42
Let r(l) = -l**2 + 1. Let n(q) = -q**2 - 13. Let w be 4/(-2)*(-3)/(-6). Let k(p) = w*n(p) + 2*r(p). What is the derivative of k(s) wrt s?
-2*s
What is the third derivative of 4*k - 4*k - 1766*k**2 - 31*k**4 + 1845*k**2 wrt k?
-744*k
Let z = -78 + 80. Find the second derivative of 4*a - 4*a - 31*a**z + 8*a + 2*a**2 wrt a.
-58
Suppose -2*q - 3*q = -65. What is the first derivative of 20*u + q - 24*u + 1 wrt u?
-4
Let j(s) be the second derivative of 59*s**4/6 - 109*s**2/2 - s - 4. Differentiate j(m) with respect to m.
236*m
Let a(k) be the second derivative of 1/4*k**4 + 0 + 0*k**2 + 0*k**3 - 11/20*k**5 - 7*k. Find the third derivative of a(o) wrt o.
-66
What is the second derivative of 14*a - 41*a + 1 + 24*a - 8*a**2 + 18*a wrt a?
-16
Let d(u) be the first derivative of -542*u**3/3 + 756*u - 667. Differentiate d(h) with respect to h.
-1084*h
What is the third derivative of l + 19*l**3 - 73*l**3 + 24*l**3 + 28*l**3 + 24*l**2 + 7*l**4 wrt l?
168*l - 12
Let z(l) = 11*l**3 - 3*l**2 + 9*l + 6. Let d(f) = 34*f**3 - 8*f**2 + 27*f + 17. Let h(y) = 6*d(y) - 17*z(y). What is the third derivative of h(g) wrt g?
102
Let t(p) be the first derivative of -1 - 8/3*p**3 + 0*p**2 + 10*p. What is the derivative of t(c) wrt c?
-16*c
Let d(i) be the first derivative of 0*i**2 - 4/5*i**5 + 0*i**4 + 19 + i**3 + 0*i. Find the third derivative of d(h) wrt h.
-96*h
Let k(j) = 7*j**4 + 3*j**3 - 13. Let x(l) = 0*l**4 - l**4 - 2*l**4 + 4*l**4 + l**3. Let y(z) = k(z) - 3*x(z). What is the derivative of y(v) wrt v?
16*v**3
What is the second derivative of 46333*u**4 - 46333*u**4 + 112*u - 204*u**5 wrt u?
-4080*u**3
Let c(w) = w + 2. Let u be c(-3). Let y be 5*(u + 2) - 4. What is the derivative of y - 29*j**4 + j - j + 20*j**4 wrt j?
-36*j**3
Suppose -5*w = -20 + 5. Let f be 40/7 - ((-12)/(-7) - 2). What is the third derivative of -f*o**2 + 11*o**2 - w*o**4 + 8*o**4 wrt o?
120*o
Let x(n) = 688*n**3 - 24*n**2 + 9*n - 243. Let b(g) = 347*g**3 - 13*g**2 + 5*g - 122. Let w(i) = -11*b(i) + 6*x(i). Find the second derivative of w(t) wrt t.
1866*t - 2
Suppose 2*c + v = 16, 2*c - 4 = v + 4. Suppose 2*q + 3*u = -3, 4*u + 22 = 3*q + 1. Differentiate c - q*a**2 - 7 - 4 + 2 with respect to a.
-6*a
Let w(a) be the second derivative of 20*a**7/21 + a**4/2 + 33*a**3/2 - a**2/2 - 11*a + 3. Find the second derivative of w(p) wrt p.
800*p**3 + 12
Let m be -1 + 1 + 2 + -2. Let h be 16 - m*1/(-2). Find the second derivative of 5*z**3 - 5*z + 7*z**3 - h*z**3 wrt z.
-24*z
Let o(a) be the first derivative of -3*a**4/4 - 9*a**2/2 + 4*a + 11. Let j(q) be the first derivative of o(q). What is the derivative of j(r) wrt r?
-18*r
Let j(s) be the second derivative of -79*s**6/10 - 2*s**3 - s**2 - 445*s. What is the second derivative of j(x) wrt x?
-2844*x**2
Let t(p) = -12*p**2 - 5*p + 5. Let z(s) = 2*s**2 + 6*s - 4 + 7*s**2 - 2*s**2 + 4*s**2. Let y(f) = 4*t(f) + 5*z(f). Find the second derivative of y(k) wrt k.
14
What is the first derivative of 21 + 142*d - 75*d - 228 wrt d?
67
Let i = -72 + 77. Find the first derivative of -7 + 0 - 23 + i + 20*k wrt k.
20
Find the second derivative of -12067*f**2 + 6005*f**2 + 5991*f**2 - 554*f wrt f.
-142
Suppose -5*x - 10 = -7*x. Let y = 14 - 10. Find the third derivative of 2*g**4 + g**y + x*g**2 - 8*g**4 wrt g.
-120*g
Suppose 0 = -2*w, -4*w = 4*q - 0 + 4. Let c = q + 5. Find the second derivative of -14*d**3 - 3*d**c - d + 14*d**3 wrt d.
-36*d**2
Let q(r) be the second derivative of -137*r**6/15 - 179*r**2/2 - 42*r. What is the first derivative of q(i) wrt i?
-1096*i**3
Let b(s) = 90*s + 198. Let l(m) = -95*m - 198. Let i(w) = -4*b(w) - 5*l(w). Differentiate i(x) wrt x.
115
Suppose -15*k + 2 = -14*k. What is the third derivative of -4*y**k + 11*y**2 - 6*y**2 - y**5 + 5*y**5 wrt y?
240*y**2
What is the second derivative of -30*d + 99*d**4 + 130*d**4 + 44*d**4 + 3 wrt d?
3276*d**2
Suppose -5*l = -4*l. Suppose l*s - 9 = -5*k + s, 0 = 5*k + 3*s - 13. Find the third derivative of -5*r**4 - 6*r**k + r**4 + 3*r**2 wrt r.
-96*r
Let b be 3 + (-1)/(4/(-12))*-1. Let u(j) be the first derivative of -5 + 0*j**3 + 2*j**4 + b*j - 1/2*j**2. Find the second derivative of u(h) wrt h.
48*h
Let s(f) be the third derivative of f**4/24 - f**3/3 + 5*f**2. Let i be s(4). What is the second derivative of 3*r + 11*r**i - 3*r**2 + 3*r**4 - 8*r**2 wrt r?
36*r**2
Let b(y) be the third derivative of -2*y**7/105 + y**6/30 - y**5/60 + 157*y**4/24 - 201*y**2. Find the third derivative of b(o) wrt o.
-96*o + 24
Let u(h) be the first derivative of -7*h**6/60 - 31*h**4/24 + 37*h**3/3 + 10. Let v(y) be the third derivative of u(y). Differentiate v(x) with respect to x.
-84*x
Let j be (-1 - 3)*1 - -7. Let v(q) be the second derivative of 0 + 0*q**j - 1/20*q**5 - q + 0*q**2 + 1/12*q**4. Find the third derivative of v(a) wrt a.
-6
Let z(n) be the second derivative of -n**6/10 + 7*n**5/20 - 25*n**4/12 + n**3/3 + 6*n - 1. What is the third derivative of z(b) wrt b?
-72*b + 42
Suppose 0 = 8*r + 6*r - 28. Let l(x) = -x - 3. Let i be l(-6). What is the derivative of r*s**4 - i + 11 - 4*s**4 wrt s?
-8*s**3
Let v(o) be the first derivative of -7 + 13/3*o**3 - 8*o + 0*o**2. Differentiate v(g) with respect to g.
26*g
Suppose 2*d + 11 = 5*u + 6, 2*d = 2*u + 4. Let o = 13 - 8. Find the second derivative of 5*m**d + 5*m + 2*m**o - 6*m - 6*m wrt m.
140*m**3
Let q = -38 - -63. Differentiate -q + 15 - 28*h + 12 + 6 with respect to h.
-28
What is the third derivative of 39*v**3 + 46*v**2 + v**3 + 2*v**3 wrt v?
252
Let s(p) = 2*p**2 + 19. Let q(n) = n**2 + 9. Suppose 3*d - 17 = y, -2*d + 4*y = 3*d - 33. Let z(i) = d*q(i) - 3*s(i). What is the derivative of z(h) wrt h?
-2*h
Find the first derivative of -3390*l**2 + 37 + 252 + 3181*l**2 wrt l.
-418*l
Suppose 1 = 4*z + 3*x, -2*z + 9 = -z - x. Find the second derivative of -13*a**2 + 4*a**2 - z*a**2 + 0*a**2 - 15*a wrt a.
-26
Let h(u) = -1032*u**2 - 1204*u. Let i(g) = 516*g**2 + 603*g. Let w(k) = -6*h(k) - 11*i(k). Find the second derivative of w(q) wrt q.
1032
Let y(l) be the first derivative of -l**5/5 - 39*l**4/4 + 18*l**3 + 64. Find the third derivative of y(b) wrt b.
-24*b - 234
What is the second derivative of 0 + 2445*u - 333*u**4 - 3 - 2442*u wrt u?
-3996*u**2
Find the second derivative of 546*a**4 - 546*a**4 - 4 + 104*a**5 - 6*a wrt a.
2080*a**3
Let z(t) be the second derivative of -49*t**6/15 + t**4/4 - 11*t**2 + 51*t. What is the third derivative of z(c) wrt c?
-2352*c
Suppose -5*o + 4
|
{
"pile_set_name": "DM Mathematics"
}
|
3232, -178993, -214754?
-35761*p - 188
What is the v'th term of -138294531, -138294530, -138294529?
v - 138294532
What is the s'th term of 237205, 474724, 712243?
237519*s - 314
What is the h'th term of 238113, 238077, 238007, 237885, 237693, 237413?
-3*h**3 + h**2 - 18*h + 238133
What is the m'th term of -48931744, -48931743, -48931742, -48931741, -48931740, -48931739?
m - 48931745
What is the u'th term of 679025, 678828, 678631, 678434, 678237, 678040?
-197*u + 679222
What is the x'th term of 84576019, 169152041, 253728063, 338304085, 422880107, 507456129?
84576022*x - 3
What is the t'th term of -903, -1067, -1403, -1911, -2591, -3443?
-86*t**2 + 94*t - 911
What is the t'th term of -9574340, -19148695, -28723050, -38297405, -47871760?
-9574355*t + 15
What is the t'th term of -344871, -690750, -1036629, -1382508, -1728387, -2074266?
-345879*t + 1008
What is the n'th term of 36084, 36039, 35988, 35949, 35940, 35979, 36084?
3*n**3 - 21*n**2 - 3*n + 36105
What is the i'th term of -49438, -49311, -49184, -49057, -48930, -48803?
127*i - 49565
What is the o'th term of -24, 278, 806, 1560, 2540?
113*o**2 - 37*o - 100
What is the o'th term of 2369, 9280, 20795, 36914, 57637, 82964?
2302*o**2 + 5*o + 62
What is the i'th term of 367, 796, 1305, 1894, 2563, 3312?
40*i**2 + 309*i + 18
What is the o'th term of 877, 1172, 891, 34, -1399, -3408, -5993?
-288*o**2 + 1159*o + 6
What is the g'th term of 763689, 1527325, 2290961, 3054597?
763636*g + 53
What is the k'th term of -20641552, -20641553, -20641554, -20641555?
-k - 20641551
What is the f'th term of -402, -1968, -5910, -13416, -25674?
-198*f**3 - 180*f - 24
What is the s'th term of 10071769, 10071766, 10071761, 10071754?
-s**2 + 10071770
What is the p'th term of -10890, -21651, -32408, -43161, -53910, -64655, -75396?
2*p**2 - 10767*p - 125
What is the y'th term of 1410002, 1411081, 1412872, 1415369, 1418566, 1422457?
-y**3 + 362*y**2 + 1409641
What is the q'th term of -1436393, -1436368, -1436323, -1436252, -1436149, -1436008, -1435823, -1435588?
q**3 + 4*q**2 + 6*q - 1436404
What is the z'th term of -195808, -195752, -195696, -195640, -195584, -195528?
56*z - 195864
What is the x'th term of -133588, -267284, -400998, -534736, -668504?
-x**3 - 3*x**2 - 133680*x + 96
What is the k'th term of 87685276, 350741105, 789167480, 1402964395, 2192131844, 3156669821, 4296578320?
-k**3 + 87685279*k**2 - k - 1
What is the j'th term of 60252, 60186, 60076, 59922, 59724?
-22*j**2 + 60274
What is the b'th term of 36287, 145629, 327871, 583013?
36450*b**2 - 8*b - 155
What is the n'th term of -302297425, -302297423, -302297419, -302297413, -302297405, -302297395?
n**2 - n - 302297425
What is the u'th term of 7692, 4603, 1514?
-3089*u + 10781
What is the o'th term of 7873, 29446, 64717, 113686, 176353?
6849*o**2 + 1026*o - 2
What is the c'th term of -32481923, -64963844, -97445765?
-32481921*c - 2
What is the q'th term of -5637598, -5637596, -5637594, -5637592, -5637590?
2*q - 5637600
What is the s'th term of -11034048, -11034050, -11034052?
-2*s - 11034046
What is the s'th term of 3251, 4671, 4265, 2033, -2025, -7909?
-913*s**2 + 4159*s + 5
What is the s'th term of 751, -1709, -7387, -16283, -28397, -43729?
-1609*s**2 + 2367*s - 7
What is the o'th term of 81330, 162730, 244130, 325530?
81400*o - 70
What is the h'th term of 30912446, 30912445, 30912444, 30912443, 30912442, 30912441?
-h + 30912447
What is the a'th term of 14916, 15036, 15150, 15258, 15360, 15456, 15546?
-3*a**2 + 129*a + 14790
What is the g'th term of -2059, -2362, -2807, -3394, -4123, -4994?
-71*g**2 - 90*g - 1898
What is the i'th term of -3, -24, -485, -1734, -4119, -7988, -13689?
-58*i**3 + 128*i**2 + i - 74
What is the m'th term of -671910607, -671910606, -671910605, -671910604, -671910603?
m - 671910608
What is the u'th term of 17976, 36093, 54350, 72747, 91284, 109961?
70*u**2 + 17907*u - 1
What is the r'th term of -282236, -282031, -281828, -281627, -281428?
-r**2 + 208*r - 282443
What is the p'th term of -1622568, -1622565, -1622562?
3*p - 1622571
What is the z'th term of 2914, 23575, 79716, 189073, 369382, 638379?
2956*z**3 + 4*z**2 - 43*z - 3
What is the b'th term of 3149, 3212, 3275, 3338?
63*b + 3086
What is the a'th term of 8252, 31500, 69778, 123092, 191448, 274852?
a**3 + 7509*a**2 + 714*a + 28
What is the d'th term of 71808692, 143617384, 215426076?
71808692*d
What is the d'th term of -42450852, -42450853, -42450856, -42450861, -42450868?
-d**2 + 2*d - 42450853
What is the w'th term of -121283, -121264, -121267, -121298, -121363, -121468, -121619?
-w**3 - 5*w**2 + 41*w - 121318
What is the i'th term of -11268, -11912, -12556, -13200, -13844?
-644*i - 10624
What is the a'th term of -2415, -2231, -1893, -1407, -779?
-a**3 + 83*a**2 - 58*a - 2439
What is the g'th term of -1518108, -1518124, -1518164, -1518240, -1518364?
-2*g**3 - 2*g - 1518104
What is the o'th term of 1033, 1032, 1081, 1204, 1425?
4*o**3 + o**2 - 32*o + 1060
What is the v'th term of 18991, 18906, 18773, 18592?
-24*v**2 - 13*v + 19028
What is the g'th term of 4790, 9596, 14404, 19214?
g**2 + 4803*g - 14
What is the h'th term of 1156305, 4625234, 10406785, 18500958, 28907753, 41627170, 56659209?
1156311*h**2 - 4*h - 2
What is the k'th term of 10070, 14813, 22718, 33785, 48014, 65405?
1581*k**2 + 8489
What is the j'th term of 782, 1236, 1046, -118, -2586, -6688?
-55*j**3 + 8*j**2 + 815*j + 14
What is the k'th term of -5793, -5984, -6293, -6720, -7265, -7928?
-59*k**2 - 14*k - 5720
What is the w'th term of -1019520, -2039038, -3058556, -4078074, -5097592, -6117110?
-1019518*w - 2
What is the p'th term of -99089, -98891, -98525, -97961, -97169, -96119?
5*p**3 + 54*p**2 + p - 99149
What is the m'th term of 1660535, 1660531, 1660527?
-4*m + 1660539
What is the f'th term of -1955540, -1955535, -1955530, -1955525?
5*f - 1955545
What is the m'th term of 17647310, 70589244, 158825800, 282356978, 441182778, 635303200?
17647311*m**2 + m - 2
What is the p'th term of -65771, -65939, -66101, -66257, -66407?
3*p**2 - 177*p - 65597
What is the m'th term of -652, -1731, -3222, -5101, -7344, -9927, -12826, -16017?
4*m**3 - 230*m**2 - 417*m - 9
What is the j'th term of -30384, -30221, -30052, -29877, -29696?
3*j**2 + 154*j - 30541
What is the k'th term of -3003, -11867, -26589, -47169, -73607, -105903?
-2929*k**2 - 77*k + 3
What is the p'th term of 1112, -3695, -8502, -13309, -18116, -22923?
-4807*p + 5919
What is the c'th term of 3536, 7484, 11432, 15380, 19328, 23276?
3948*c - 412
What is the v'th term of 229051, 229066, 229077, 229084, 229087, 229086, 229081?
-2*v**2 + 21*v + 229032
What is the t'th term of 6989, 13937, 20897, 27875, 34877?
t**3 + 6941*t + 47
What is the l'th term of 18026, 17817, 17468, 16979, 16350, 15581?
-70*l**2 + l + 18095
What is the w'th term of -218, -925, -2446, -5189, -9562, -15973?
-68*w**3 + w**2 - 234*w + 83
What is the q'th term of -9881, -19734, -29563, -39368, -49149, -58906, -68639?
12*q**2 - 9889*q - 4
What is the j'th term of 25123, 25155, 25217, 25315, 25455, 25643, 25885?
j**3 + 9*j**2 - 2*j + 25115
What is the b'th term of 75906, 151687, 227440, 303159, 378838, 454471, 530052?
-b**3 - 8*b**2 + 75812*b + 103
What is the y'th term of 6306, 11290, 16274, 21258?
4984*y + 1322
What is the h'th term of 1253, 1426, 1687, 2030, 2449, 2938?
-h**3 + 50*h**2 + 30*h + 1174
What is the i'th term of -4059419, -4059410, -4059401, -4059392, -4059383?
9*i - 4059428
What is the g'th term of -8225, -16110, -23991, -31868?
2*g**2 - 7891*g - 336
What is the u'th term of -311, -2, 489, 1174, 2065?
2*u**3 + 79*u**2 + 58*u - 450
What is the i'th term of -221399, -220385, -219383, -218399, -217439, -216509, -215615, -214763?
-i**3 + 1021*i - 222419
What is the y'th term of 61882, 123701, 185518, 247333, 309146, 370957?
-y**2 + 61822*y + 61
What is the g'th term of 3598, 13494, 29692, 52192, 80994?
3151*g**2 + 443*g + 4
What is the z'th term of 8001, 8091, 8305, 8643, 9105?
62*z**2 - 96*z + 8035
What is the m'th term of -2775, -4085, -5349, -6543, -7643?
4*m**3 - m**2 - 1335*m - 1443
What is the w'th term of 13437, 14002, 14591, 15216, 15889, 16622, 17427?
2*w**3 + 551*w + 12884
What is the u'th term of 307269, 614493, 921675, 1228821, 1535937?
u**3 - 27*u**2 + 307298*u - 3
|
{
"pile_set_name": "DM Mathematics"
}
|
ppose o*c = c - 8. What is the greatest common divisor of 64 and c?
8
Suppose -557 = -11*i + 1555. What is the highest common divisor of 12 and i?
12
Let b be (-14)/63 - 112/(-18). Suppose 4*d + 4*p - 92 = 0, -b*d + 4*d + 2*p = -50. Calculate the greatest common divisor of 60 and d.
12
Let i be 7/(28/96) - 1. What is the greatest common factor of i and 92?
23
Let h be 145/11 - 32/176. What is the highest common divisor of 104 and h?
13
Let w(l) = 5*l**2 + 2*l + 3. Let d be w(-5). Let j = d + -19. Calculate the highest common factor of j and 11.
11
Suppose -1 + 7 = 3*n. Let q = 10 + n. Let l = 86 - 38. What is the greatest common divisor of q and l?
12
Let g be (2/(-4))/(1/(-4)). Let m = -3 + 7. Let s be (m/(-8))/(1/(-4)). Calculate the greatest common factor of g and s.
2
Suppose j = 0, q - 3 - 45 = -3*j. Suppose 0 = -4*z - 0 + q. Calculate the greatest common factor of z and 84.
12
Let h(y) = y**3 + 6*y**2 + 4*y + 5. Let w = -13 + 8. Let g be h(w). Let p(u) = u + 3. Let b be p(g). What is the highest common divisor of 91 and b?
13
Let y be (-20)/50 + ((-231)/15)/(-1). Calculate the greatest common factor of 195 and y.
15
Let j(q) = q**2 + q + 186. Let v be j(0). Suppose -g - v = -0*g. Let i be 2/(-7) - g/14. Calculate the greatest common factor of 52 and i.
13
Let g be 144*((-75)/9)/(-5). What is the greatest common divisor of 48 and g?
48
Suppose 5*i - 15 = 4*w - 35, -49 = 3*i + 5*w. Let j = i + 6. Let u = j + 23. Calculate the highest common divisor of u and 3.
3
Let v = 176 - 106. Let q = 37 + -30. Calculate the greatest common factor of q and v.
7
Let t = -97 + 187. What is the highest common divisor of t and 36?
18
Let w be ((-10)/(-3))/(4/(-6)). Let z = -4 - w. Let t be z/3 + (-416)/(-12). Calculate the greatest common divisor of t and 5.
5
Suppose -7 = -q - 5*g - 0*g, 4 = 4*g. Let s be 12/(-15)*110/(-4). What is the greatest common divisor of q and s?
2
Let k(i) = 7*i - 62. Let z be k(10). What is the highest common divisor of z and 12?
4
Suppose -5*g + 6 = -9. Suppose -3*i + 28 = -0*z + 5*z, -i + 12 = g*z. Calculate the highest common divisor of 2 and i.
2
Let x be ((-2)/(-3))/((-2)/(-15)). Suppose -x*l + 4 = -2*n, n = 5*l - 3*l. What is the highest common divisor of 1 and n?
1
Let s = 30 + -27. Calculate the highest common divisor of s and 33.
3
Let v = 5 + -3. Let l be 88*(-2 - (v + -5)). Let x = 88 + l. Calculate the greatest common divisor of x and 16.
16
Suppose -f + 3*f = -244. Let j = f + 65. Let a = 93 + j. Calculate the highest common divisor of 54 and a.
18
Let g = -26 + 71. Let i(y) = -2*y + 3. Let u be i(4). Let k = u + 10. What is the greatest common factor of k and g?
5
Let r(f) = -129*f**3 + f**2 - 3*f - 3. Let g be r(-1). Calculate the greatest common divisor of g and 52.
26
Let q(c) = -6*c - 4. Let o be q(2). Let v = o + 27. Suppose -2*b - 274 = 2*p - 5*p, 2*p - 3*b = 191. What is the greatest common factor of v and p?
11
Let u = -4 + 8. Suppose u*n - 28 = 12. Calculate the greatest common factor of n and 90.
10
Suppose -5*g = -2*j - 24, -3*j = -g + 2 - 5. Let s = g + 1. Let u = -31 - -52. What is the highest common factor of s and u?
7
Let k be 9/(-18) - (-161)/2. Let o be k/(-6)*(-264)/20. Calculate the highest common divisor of 16 and o.
16
Let h(r) = 30*r**2 + r + 2. Let v(i) = -i - 7. Let n be v(-5). Let y be h(n). What is the greatest common factor of 15 and y?
15
Let x(g) = -g**2 - 15*g + 14. Let n be x(-14). Calculate the highest common factor of 70 and n.
14
Let b(k) = 3*k**2 - k + 2. Suppose -5*o + p = -19, 3*p = p - 8. Let m be b(o). Calculate the highest common divisor of 39 and m.
13
Let s = -11 - -15. Suppose -k + 4 = -s. Calculate the highest common factor of k and 8.
8
Suppose -3*w + 1 = -17. Let b = 16 + -1. What is the highest common divisor of w and b?
3
Let b = 6 + -4. Suppose 6*a - 5*a - 2*m + 14 = 0, 3*m = 3. Let v = 14 + a. Calculate the greatest common factor of b and v.
2
Let d = 18 + 2. Let y be (-1)/(6/(-244)) - 20/30. Calculate the greatest common divisor of d and y.
20
Suppose 21 = -4*l + 4*d + 157, 25 = 5*d. Calculate the greatest common factor of 39 and l.
39
Let b(x) = 2 - 4 - 1 - 2*x + 2. Let f be b(-2). Suppose 4*u + w = 27, 4*u - 2*w + 0*w = 18. What is the greatest common factor of f and u?
3
Suppose 0*u - 4*u + 32 = 0. Suppose -2*g = 26 + u. Let p = 30 + g. Calculate the highest common factor of p and 52.
13
Suppose 0*s - a - 7 = -4*s, -2*s - a + 5 = 0. Suppose 13 + 4 = c + 5*p, 0 = -s*c + 3*p + 21. Calculate the greatest common divisor of c and 8.
4
Let p(y) = -8*y - 2. Let w be p(-4). Suppose -7*o + 2*o = -w. What is the greatest common factor of 6 and o?
6
Let i be 628/(-10)*30/(-12). Suppose -5*f + 143 + i = 0. What is the highest common divisor of f and 15?
15
Suppose -2*r - o = -132, 0 = 3*r - o - 0*o - 188. Let f be (-182)/(-21) + (-4)/6. Calculate the greatest common divisor of r and f.
8
Let j = -6 + 8. Let s(u) = 8*u**2 - 5*u + 4. Let l be s(j). Calculate the highest common factor of l and 52.
26
Let x(s) = s**3 - 9*s**2 - 2*s + 6. Let g be x(9). Let h be g/15*(-225)/2. Calculate the highest common factor of h and 10.
10
Suppose 0 = -14*z + 10*z + 36. Calculate the greatest common factor of 72 and z.
9
Suppose -b + 3*b + 5*w = 110, -2*b + 104 = 2*w. Let a = 8 + 2. Calculate the highest common factor of a and b.
10
Let k be 6/(-18)*30/(-2). Suppose -3*a + a + 10 = -l, -k*l = -20. What is the greatest common factor of 56 and a?
7
Suppose 0 = 4*w, 2*t - 72 = -0*w + 4*w. Calculate the highest common factor of t and 180.
36
Suppose 4*u + 15 = -5*t - u, -2*u = -4*t + 18. Let l be t/(-2 - 0)*-1. What is the greatest common factor of l and 4?
1
Let f(k) = k**2 + 5. Let i be f(0). Suppose 5*u - 594 = -i*g + 4*u, -3*g - u + 356 = 0. What is the highest common factor of g and 17?
17
Suppose -s + 155 = -4*r, 2*r = 4*s - 3*r - 587. Suppose 0 = -4*c - 3*z + s, 0 = 7*c - 3*c + 5*z - 145. What is the greatest common factor of c and 14?
7
Suppose 5*w - 60 = 5. What is the highest common divisor of 91 and w?
13
Let u(y) = -y**2 + 9*y. Let i be u(6). Let x = 30 - i. Calculate the greatest common factor of x and 84.
12
Let q(c) = -c**2 + 19*c + 12. Let r be q(16). Calculate the highest common divisor of 24 and r.
12
Let r(s) = -9*s - 4. Let o be r(-1). What is the greatest common factor of 15 and o?
5
Suppose f = 5*f + 1048. Let z = 141 + f. Let m be (-1*2)/(2/z). Calculate the greatest common divisor of 11 and m.
11
Suppose 0 = -10*p + 134 + 146. What is the highest common factor of 196 and p?
28
Let x be 6/(-3) + 6*1. Suppose -3*o = 5*f - 436, -4*o = -6*o - x*f + 288. Let k = o - 75. Calculate the greatest common divisor of 11 and k.
11
Let l be 2*(-2 - (-5)/2). Let s be l/4 + (-1054)/(-8). What is the highest common factor of s and 12?
12
Let g = 140 - 100. Suppose -g = 6*i - 11*i. Let z be (-28)/1*(-26)/i. Calculate the greatest common factor of z and 13.
13
Let d = -6 - 0. Let q be 0*(-2)/d + 3. Calculate the highest common factor of q and 1.
1
Let s(y) = y**2 - 5*y - 9. Let h be s(7). Let n = 13 - h. Let j be 220/(-3)*(-6)/5. Calculate the greatest common divisor of n and j.
8
Suppose -16 = x - 2*x + 2*v, 2*x + 3 = -3*v. Let q be (3/1 - 3)/(-1). Suppose m - 3 + 1 = q. What is the highest common factor of m and x?
2
Suppose -b = -2*b + 91. Let x = -27 + 40. What is the greatest common factor of x and b?
13
Let n be 1/1 + -99 - -2. Let w be ((-20)/8)/(3/n). What is the highest common divisor of w and 10?
10
Let a be (-2)/3 - 58/(-6). Let s = a + -1. Let v be (-1 + (6 - 4))*72. What is the greatest common divisor of v and s?
8
Let w = 11 + -6. Suppose 4*m + 2*s + 2*s + 8 = 0, w*s + 14 = -3*m. Calculate the highest common divisor of 14 and m.
2
Suppose 2*h + 7 - 1 = 0, -4*q - 4*h = -12. Calculate the highest common divisor of 42 and q.
6
Suppose x + 204 = 5*x. Let d be 1 + -1 - 0 - 0. Suppose d = -8*t + 3*t + 85. What is the greatest common factor of x and t?
17
Let d = 54 + -40. What is the greatest common divisor of d and 21?
7
Suppose -4*i + 5*x + 16 = 0, -5*i - 9 = 4*x - 29. Let y = -3 + i. Let d = 4 + y. What is the greatest common factor of 35 and d?
5
Let q be (4 + -2)*34 + -2. What is the greatest common factor of q and 6?
6
Suppose -4*j = 12, -s = -0*s - 5*j - 24. Let v = 10
|
{
"pile_set_name": "DM Mathematics"
}
|
-0*t. Let c = t - -23. Is c prime?
True
Suppose -5*b + 2*b = -894. Is b a composite number?
True
Let i = 43 + 96. Is i a composite number?
False
Suppose -x = 4*j + 3, 0*j = 2*x + 4*j + 6. Let t = x - -10. Is t a composite number?
False
Let c(r) = 4*r**2 - r - 1. Let l be c(-1). Is (-1)/l + (-274)/(-8) composite?
True
Let d(k) = -2*k**2 + 2*k - 55. Let g(a) = a**2 - a + 27. Let l(z) = -6*d(z) - 11*g(z). Is l(0) a prime number?
False
Suppose -2348 = 7*n - 11*n. Is n a prime number?
True
Suppose 0 = -3*y - 3*n + 1 + 5, 0 = -2*y - 5*n - 8. Let l(a) = a**2 - 4*a + 3. Is l(y) a prime number?
False
Let a = 128 + 1091. Is a a composite number?
True
Let l = -2 - 4. Let m be l/27 + (-438)/(-27). Suppose m = 4*x, 3*o + 3*x - 58 = -13. Is o prime?
True
Let t be (-3)/(-15) + (-1)/5. Is ((-322)/8 + t)*-4 prime?
False
Let k = 116 - 61. Let c be 2/(-4) + k/10. Let j(g) = 11*g - 2. Is j(c) prime?
True
Let w(j) = 58*j**2 - 4*j + 6. Let f be w(-4). Let d = -181 + f. Is d composite?
False
Let n(u) = -257*u + 37. Is n(-6) prime?
True
Suppose -4*z + 3*d + 16177 - 5012 = 0, -2*d - 6 = 0. Is z composite?
False
Suppose 3*c + 4*c = 3143. Is c composite?
False
Let l be (-8)/16 - (-1)/2. Suppose l*b = -5*b + 635. Is b prime?
True
Let o = 11 - 8. Is (4/o)/((-6)/(-117)) a composite number?
True
Let m(x) = 20*x - 9. Let z be -1 - (-4 - (-12)/(-4)). Is m(z) a prime number?
False
Suppose -2*r + 6*r = 380. Is r prime?
False
Let z = -54 + 101. Is z prime?
True
Let d(h) = 6*h**3 - 4*h**2 - 4*h + 3. Is d(4) composite?
False
Suppose l + 4176 = 5*l - 4*p, -p = -4*l + 4161. Is l composite?
False
Let z = 7 - 10. Let k be (z/2)/((-12)/(-32)). Is ((-194)/k)/((-5)/(-10)) prime?
True
Suppose -15 = -o - 2*h, 5*h - 72 = -5*o - 22. Suppose o*q - 9 + 29 = 0. Is 8 - q/2 - 0 a composite number?
True
Let b be 0 - 0 - (4 + -410). Suppose 0 = 4*u - b - 174. Is u prime?
False
Let u = 6 + -4. Suppose -2*s - 2*s = -8. Suppose u*y + s*p - 86 = 5*p, 2*y + p - 70 = 0. Is y composite?
False
Let p = 7 + -4. Suppose 5*u - 65 = 5*y, -p*u + 4*y + 37 = -0*y. Is u prime?
False
Let b(o) = -3 - 2*o + 0 + 10*o. Is b(7) a composite number?
False
Let j(x) = -x**2 + 8*x - 4. Let r be j(7). Suppose r*o + 0*o = -12. Let z = 63 + o. Is z a composite number?
False
Suppose s - 25 = -4*m, 0 = -0*m - m - 3*s + 9. Let j(n) = 2*n**2 + 2*n - 5. Is j(m) composite?
False
Is (-3)/2 - (-150670)/76 composite?
True
Let a(l) = -25*l + 2. Suppose -4*x + 0*x - 12 = 0. Is a(x) a prime number?
False
Let u(y) = y**2 - 1. Let o(k) = 3*k**2 + k - 3. Let j(f) = o(f) - 2*u(f). Let q(h) = -h**2 + h. Let t(r) = 3*j(r) - q(r). Is t(-4) composite?
False
Let y(l) = 17*l**3 - l**2 - l + 4. Is y(2) a composite number?
True
Let a be ((-4)/10)/((-2)/340). Suppose g - 3*g - a = 0. Let j = 57 + g. Is j prime?
True
Suppose -5*s + 7260 = -4*f, -1451 = -2*s + s + f. Suppose -4*x = 4*v + v - 1477, s = 5*v - 3*x. Is v prime?
True
Let r = -21 + 9. Let p = -7 - r. Let s(x) = -x**3 + 6*x**2 - x + 1. Is s(p) a prime number?
False
Let u(f) = -19*f**3 + f**2 + 3*f + 5. Is u(-2) prime?
False
Suppose -4*w + 1482 = -2*v, 0*v = -3*w - 2*v + 1129. Is w composite?
False
Suppose 2*b - 119 = 3*d + 2*d, b + 2*d = 73. Is b composite?
False
Suppose -3*x - 12 = -5*x. Is (10/x)/(2/834) a composite number?
True
Let o be ((-24)/(-20))/3*5. Suppose 2*a - 308 = -o*q, 4*q = -0*q - 3*a + 617. Is q composite?
True
Suppose -8 = -3*k + 5*k. Is 92/6*(-6)/k prime?
True
Let o(c) = c**3 - 5*c**2 + 5*c - 5. Let q be o(4). Is 1/(-2)*(-19 + q) a prime number?
False
Let k = -1 + -2. Let s(j) = 6*j**2 - j - 2. Is s(k) prime?
False
Let p(q) = 4*q + 2. Let s be p(-3). Is 24/30 + (-932)/s composite?
True
Suppose -22 = -2*z - u, -2*z + 5*u = -z. Suppose 4*j + z = 258. Is j a prime number?
False
Let g(j) = -13*j + 1. Let n(x) = 25*x - 2. Let k(p) = -5*g(p) - 2*n(p). Is k(4) a prime number?
True
Suppose 4*l = 26 - 2. Let h(q) be the first derivative of -q**3/3 + 9*q**2/2 + 4*q + 1. Is h(l) a composite number?
True
Let j(a) = a**2 + 10*a**2 + 8*a + 4 - 10*a**2. Let h be j(-7). Let m = 6 - h. Is m a prime number?
False
Let b(a) = -641*a**2 - 2*a - 1. Let f be b(-1). Let w = -333 - f. Is w composite?
False
Let v(r) = r**3 + 7*r**2 - 7*r + 8. Let t = -6 - 2. Let l be v(t). Suppose -3*q - 5*j + 57 = l, -q - 2*j + 19 = -6*j. Is q prime?
True
Suppose -31 = -2*j - 5*g, -5*j = -g + 5*g - 35. Suppose -3*u - 3*f + 49 = -u, 3*u - j*f = 66. Is u prime?
True
Let p(t) = 2*t**3 - 5*t**2 - 6*t - 5. Is p(6) a prime number?
True
Suppose -4*m = -5*l - 0*m + 933, -2*m + 181 = l. Suppose -5*x + 8 = -3*x. Suppose v = -x*v + l. Is v a prime number?
True
Suppose 13*y - 16577 - 16196 = 0. Is y a composite number?
False
Suppose 0 = 2*n - 6*n + 920. Let g = -45 + n. Is g a prime number?
False
Let l(z) = 1 - 2 - 9*z + 4 - 1. Is l(-1) prime?
True
Let l(g) be the first derivative of g**3 - 3*g**2/2 - 3*g - 1. Is l(-3) composite?
True
Suppose 0*t = t - 3. Suppose t*c - 254 = c. Is c composite?
False
Let l(s) = -s**2 - 6*s - 2. Let j(i) = -i**3 + 9*i**2 - 5*i + 6. Let o be j(8). Suppose 10 - o = 5*q. Is l(q) prime?
False
Let o = -302 + 444. Suppose l - o = -3*p, 5*l + 4*p = 2*p + 645. Is l composite?
False
Let q(j) = 29*j**2 - 2*j + 3. Suppose -l - 2*l - 2*v = -50, -4*v + 16 = 0. Let t be 2/(-7)*l/(-2). Is q(t) prime?
False
Let q be (-2 - (-8)/3)*-12. Is (370/(-6))/(q/24) prime?
False
Let h = 179 - 37. Is h prime?
False
Let q(w) be the second derivative of 3*w**5/2 - w**4/4 + 2*w**3/3 - w**2 + 2*w. Let c be q(2). Let f = c - 119. Is f a prime number?
False
Is 3/1 - (-1664)/4 a composite number?
False
Let y(p) = -p**2 - 5*p + 4. Let h be y(-6). Is (-10)/5 + (155 - h) a composite number?
True
Let i be (-14)/(-2)*300/70. Let p = i + 5. Is p composite?
True
Let g(f) = -f**2 + 11*f - 10. Let c be g(10). Suppose 3*b + c*j = 2*j + 197, 3*j + 123 = 2*b. Is b composite?
True
Let w = 3 - 2. Let b(f) = 339*f**3 + 20*f**2 - 23*f + 20. Let a(y) = 113*y**3 + 7*y**2 - 8*y + 7. Let g(d) = -17*a(d) + 6*b(d). Is g(w) prime?
True
Let z be (3 - 1 - 4) + -142. Let j = -82 - z. Is j a composite number?
True
Suppose 2*k = -4*y + 9302, 9*k - 23207 = 4*k + 2*y. Is k composite?
False
Let w(m) = 7*m**2 - 7*m - 9. Let t(v) = -v**2. Let q(u) = 4*t(u) + w(u). Is q(7) a prime number?
True
Let w(t) = 2*t - 2. Let q be w(7). Suppose m - 5*m - 4*p = -8, q = -4*p. Suppose 5*x = -2*y + 581, -m*x + 0*y = -2*y - 569. Is x prime?
False
Let b = 15 - 33. Is (-4)/6*3429/b a composite number?
False
Suppose -11439 = -9*v + 4*v + 2*f, 0 = -3*v - 5*f + 6851. Is v composite?
False
Let s(g) = -207*g + 2. Is s(-1) composite?
True
Let o(c) = 2*c**2 + 12*c - 1. Suppose q = -q - 18. Is o(q) prime?
True
Suppose 0 = -5*h - 3*v + 2*v - 20, -11 = -3*h + 4*v. Let b = h - 3. Is 3/b - 87/(-6) composite?
True
Let n(d) = -2*d. Let o(c) = 19*c - 2. Let f(s) = -10*n(s) - 2*o(s). Let p be f(-7). Suppose 74 = 3*r + t, -4*r - r + p = 3*t. Is r a composite number?
False
Let i(f) = 54*f - 5. Let a(j) = -j**3 + 12*j**2 + 13*j + 5. Let x be a(13). Is i(x) a composite number?
True
Is (196/8 - 4)*(6 - 0) a prime number?
False
Is ((-2)/4)/(2 + (-12756)/6376) composite?
False
Let g(h) be the second derivative of h**7/2520 + h**6/180 + h**5/12 - h**4/6 - h. Let t(i) be the third derivative of g(i). Is t(-7) a prime number?
True
Let u = 0 - 4. Let v(h) = -2*h**3 - 7*h**2 - 5*h - 1. Is v(u) composite?
True
Let f(q) = 90*q + 11. Is f(7) a prime number?
True
Suppose -5*s + 2 + 8 = 0. Suppose 0 = -2*t - 40 - s. Let f = 32 + t. Is f prime?
True
Let b = 3 + -1. Let n be 0 + b - -375 - 0. Suppose 447 = 4*v + 2*d - 59, 4*d = -3*v + n. Is v a prime number?
True
Let k be 2*(-2 + 5 + -2). Suppose -k*i = 3*i - 10. Suppose 4*j = -i*f + 1 + 135, -j + 25 = 5*f. Is j a prime number?
False
Let n(v) = -v**3 + 4. Let i be n(0). Is i/14 + (-1550)/(-14) composite?
True
Let a(k) be the third derivative of k**6/120 + 7*k**5/60 - k**4/24 + k**3/6 + 2*k**2. Let r be a(-7). Let i = 15 - r. Is i prime?
True
Suppose 4*y - 4*r - 129 = 91, -290 = -5*y + 2*r. Let b(o) = -o**3 - 9*o**2 - 8*o + 1. Let p be b(-7). Let f = p + y. Is f prime?
True
Let d(j) = -j + 8. Let q be d(7). Let p(r) = 3*r - 6*r - q + 2*r + 10*r**2. Is p(2) prime?
True
Suppose -4*c - 28 = -8*c. Is (-2558)/(-14) - (-2)/c composite?
True
Let b(l) = l**2 + 6*l + 7.
|
{
"pile_set_name": "DM Mathematics"
}
|
?
-773662
What comes next: 66881, 66866, 66841, 66806, 66761, 66706?
66641
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145933
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-526
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10426
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-1262
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-3359787
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3957
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359
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-40300
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-8295
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-7322
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-2977
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-1138
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30534
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-82993
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20473
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-15295
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-1217
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12119
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360
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6570
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-824579
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-107
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895
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274
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-13532221
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-1724
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-224945
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-427
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30874
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-2069
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-2516
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983
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-32677
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-2134
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-2514
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-1442
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17187
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3331
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-57
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215587
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6137
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-3457
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912
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84833
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10932
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1654
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40769
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36126
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-1031
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-3565
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-3022489
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-200
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21798
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-19521
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-241980
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-923
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-3461331
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234142
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-7192
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-7613
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-8750
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-10719
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15839
What is the next term in -128217, -128224, -128235, -128250, -128269, -128292, -128319?
-128350
What comes next: 76033, 76030, 76025, 76018, 76009, 75998, 75985?
75970
What is next in -7918, -63367, -213880, -506989, -990226?
-1711123
What is the next term in 6659, 6527, 6395, 6263?
6131
What comes next: -79, -134, -161, -160, -131, -74?
11
What comes next: -3017, -5584, -8137, -10670, -13177, -15652?
-18089
What is the next term in 93, 475, 1323, 2811, 5113?
8403
What is the next term in -13257, -13166, -13073, -12978, -12881, -12782?
-12681
What is the next term in -351, -577, -1191, -2385, -4351, -7281, -11367, -16801?
-23775
What is next in 133, 223, 291, 331, 337, 303, 223?
91
What is the next term in -34091, -34090, -34087, -34082, -34075?
-34066
What is next in 47210, 47204, 47194, 47180, 47162, 47140?
47114
What is the next term in -1315, -3831, -6349, -8869, -11391?
-13915
What is the next term in 8993, 17984, 26975?
35966
What is the next term in -58, -478, -892, -1300, -1702, -2098?
-2488
What comes next: 49195, 49207, 49219, 49231?
49243
What comes next: -68402, -136819, -205234, -273647, -342058?
-410467
What is next in -292, -557, -764, -889, -908?
-797
What is the next term in 403411, 806819, 1210227?
1613635
What comes next: -104, -195, -278, -347, -396, -419, -410, -363?
-272
What comes next: -13, -123, -327, -625, -1017, -1503, -2083?
-2757
What comes next: 1653237, 3306475, 4959713, 6612951, 8266189, 9919427?
11572665
What comes next: 375, 1296, 2217, 3138, 4059?
4980
What comes next: -74267, -74275, -74283, -74291, -74299?
-74307
What comes next: 364, 995, 1628, 2263?
2900
What is the next term in 3294, 6525, 9754, 12981, 16206, 19429, 22650?
25869
What is next in -682, -1224, -1760, -2290, -2814, -3332, -3844?
-4350
What is the next term in -732207, -732093, -731993, -731913, -731859, -731837, -731853?
-731913
What is the next term in 3898, 3862, 3826, 3790?
3754
What is the next term in -1198701, -2397397, -3596093, -4794789?
-5993485
What is the next term in 27534, 27526, 27504, 27462, 27394?
27294
What is the next term in 1350, 2733, 4136, 5559, 7002, 8465?
9948
What comes next: 1089, 2218, 3347, 4476, 5605, 6734?
7863
What is next in 10111, 80544, 271711, 643978, 1257711?
2173276
What comes next: 368, 580, 796, 1016, 1240?
1468
What is next in 100809, 201604, 302387, 403152, 503893?
604604
What is the next term in -101443, -101457, -101463, -101455, -101427, -101373, -101287?
-101163
What is next in -325, -724, -1123, -1522, -1921?
-2320
What is the next term in 53291, 213194, 479713, 852848, 1332599, 1918966, 2611949?
3411548
What comes next: 398, 3590, 12254, 29126, 56942, 98438, 156350?
233414
What comes next: 3605, 3207, 2809?
2411
What is next in -266660, -533328, -799996, -1066664, -1333332, -1600000?
-1866668
What comes next: -260, -950, -1962, -3182, -4496, -5790?
-6950
What is the next term in 99813, 99803, 99785, 99759, 99725, 99683, 99633?
99575
What is next in -467617, -935236, -1402855, -1870474, -2338093, -2805712?
-3273331
What is the next term in 1252, 2473, 3694?
4915
What is the next term in 58433, 233741, 525921, 934973, 1460897, 2103693, 2863361?
3739901
What is next in 878, 2091, 3304, 4517, 5730?
6943
What comes next: 20631070, 20631068, 20631056, 20631028, 20630978, 20630900, 20630788, 20630636?
20630438
What comes next: 2301, 9275, 20917, 37227, 58205?
83851
What is the next term in -765, -3187, -7223, -12873, -20137, -29015, -39507?
-51613
What is the next term in -2101843, -2101842, -2101841, -2101840?
-2101839
What is next in -1533, -3060, -4583, -6102?
-7617
What is the next term in -561, -1156, -1751?
-2346
What is the next term in -21218, -42444, -63670, -84896, -106122, -127348?
-148574
What is the next term in 775, 3120, 7045, 12562, 19683?
28420
What is the next term in -21, 176, 373, 570?
767
What comes next: -1068, -2059, -3050, -4041, -5032?
-6023
What comes next: -519, -934, -1339, -1728, -2095, -2434, -2739?
-3004
What comes next: 2616, 2608, 2600, 2592, 2584, 2576?
2568
What is next in -25623, -102244, -229937, -408696, -638515, -919388?
-1251309
What is the next term in -1264, -1244, -1208, -1150, -1064, -944, -784?
-578
What is the next term in 78797, 157591, 236385?
315179
What is the next term in 49832, 99656, 14948
|
{
"pile_set_name": "DM Mathematics"
}
|
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