text
stringlengths 2.35k
7.98k
| meta
dict |
|---|---|
-4*c = 4*r - 51663 + 18047, -c = -3*r + 25220. What is the units digit of r?
6
Let x = 3 - 3. Suppose -r = -6*r, 5*l + r - 2950 = x. Suppose 6*f = f + l. What is the units digit of f?
8
Suppose 4*z - 12 = 3*t + 2, -5*z = 5*t. Suppose z*b = -6*b + 24. Suppose n - 322 = -5*x, -n = -b*n - 6. What is the tens digit of x?
6
Let t(d) be the second derivative of -d**5/20 - 17*d**4/12 - 7*d**3/6 - 7*d**2/2 + 3*d. Let g be t(-17). Suppose -28 - g = -5*c. What is the tens digit of c?
2
Let m = 8604 + -5491. What is the hundreds digit of m?
1
Let s be 2/18 - 98/(-9). Let m = 18 - s. Suppose 2*y = -f + 189, 0 = 4*y - m*y + f + 281. What is the units digit of y?
4
Let o(i) = 98*i + 3 + 0 - 6 + 1. What is the tens digit of o(2)?
9
Let y(s) = s**3 - 20*s**2 + 50*s + 239. What is the hundreds digit of y(30)?
7
Suppose -5*f + 3*f + 10 = 0. Suppose f*i + 97 = -3*m + 29, 0 = 4*m - 3*i + 81. What is the tens digit of (-348)/(-5) - m/(-35)?
6
Suppose 698*g + 10441992 = 51390162. What is the hundreds digit of g?
6
Let j = -235 + 238. Suppose d - 579 = -2*w + 521, 555 = w + j*d. What is the hundreds digit of w?
5
Let s(o) = -o**3 + 10*o**2 - 17*o + 10. Let v be s(8). Let q be v/(-5) + (-24)/15 + 18. What is the units digit of (-2)/6 + q/(-24) - -7?
6
Suppose 0 = 6*q - 26392 + 4642. What is the hundreds digit of q?
6
Suppose 0 = -2*q - 13 + 19. Suppose 2*o - 7 + 1 = 2*h, 2*h - q*o = -9. Suppose h = 5*g - 316 + 96. What is the tens digit of g?
4
Suppose -9*d - 62 = 91. Suppose 130 = 5*n + 25. Let s = d + n. What is the units digit of s?
4
Suppose d + 5*i - 15 = 0, 2 = -3*d - 5*i + 17. Suppose 825 = 3*u - d*a + 5*a, 5*a + 275 = u. What is the hundreds digit of u?
2
Let y(r) = -r + 4. Let u be y(-4). Let n(l) = 4*l**2 + 4 - 4*l**3 - 6*l**3 - 5*l**2 + u*l**3 + 10*l. What is the tens digit of n(-4)?
7
Suppose -y + 2*j + 565 = -1273, -4*y + 5*j = -7364. What is the units digit of y?
6
Suppose -10*a = 7*a. Suppose a = 8*j + 934 - 8262. What is the hundreds digit of j?
9
Let q = 2564 + 508. Let f = q + -1158. What is the units digit of f?
4
Let f(i) = i**3 + 4*i**2 - 3*i - 21. Let t be f(-4). Let j(g) = 4*g**2 - 12*g + 17. What is the units digit of j(t)?
9
Let h = 14974 + -9848. What is the thousands digit of h?
5
Let h(z) = -12*z + 9. Let r(g) = 12*g - 13. Let p be r(-4). Let i = 48 + p. What is the tens digit of h(i)?
6
Suppose 0 = 5*i + 101*v - 102*v - 8213, v = -4*i + 6574. What is the units digit of i?
3
Suppose -28860 = 9*u - 85038. What is the units digit of u?
2
Let m = -91 - -96. Let n(u) = 39*u**2 - 44*u + 200. What is the tens digit of n(m)?
5
Let c(n) = 2*n**2 - 175*n - 82. Let b be c(93). Let l(g) = g - 2. Let x be l(6). Suppose -h - 4*h + b = -3*p, 2*p = x*h - 752. What is the units digit of h?
7
Suppose 5*f - 294 = 171. Let l = -42 + f. What is the tens digit of l?
5
Let h(c) = -13*c - 6. Let l be (1/2)/(3 + -2)*-8. Let j be h(l). Let m = j - 31. What is the tens digit of m?
1
Let i be -4 - ((-70)/21 - -4)/((-4)/654). Suppose 72 = 3*s - 36. What is the tens digit of (i/(-14))/((-3)/s)?
9
Let j = -49 - -49. Suppose j = -u + 4*u - 570. Let h = -88 + u. What is the hundreds digit of h?
1
Let l(f) = f**3 - 32*f**2 + f - 3. Let u be l(32). Suppose 28*i + 378 = u*i. What is the tens digit of i?
7
Suppose 0 = -3*n + 5*h + 9280 - 883, h - 5624 = -2*n. What is the tens digit of n?
0
Let s(u) = -3*u**2 - u + 28. Let p be s(0). Let h(j) = 3*j**2 - 33*j - 3. What is the hundreds digit of h(p)?
4
Let c be (-7)/42*-2787*2. What is the units digit of -3 + (-2 - -7) + c + 0?
1
Let x(v) = v + 27. Let n(p) = -3*p**2 - 2*p - 2. Let m be n(-2). Let u be x(m). What is the tens digit of 1*((-2)/2 + u)?
1
Suppose p = -42 + 269. Suppose p = c - 2*a, -1 - 1 = 2*a. Suppose 3*w - c = -66. What is the units digit of w?
3
Let x = 113 - 89. What is the units digit of 27/(-2)*((-656)/x - 6)?
0
Let n(r) = 366*r**3 - 4*r**2 - 1. Let d(p) = 4*p - 15. Let b be d(4). What is the units digit of n(b)?
1
Suppose 2*o + 53883 = 5*i - 20524, 12*i = -4*o + 178524. What is the units digit of i?
9
Suppose -422 - 767 = 29*b. Let a(j) = -20*j - 22. What is the tens digit of a(b)?
9
Let y(t) = 2*t**2 - 44*t + 16. Let x be 31*(-2 + (-6)/(-2)). What is the hundreds digit of y(x)?
5
Let y = -56 + 46. Let h(t) = t**2 + 11*t + 15. Let a be h(y). Suppose -2*z + d = -a*z + 416, 528 = 4*z - 4*d. What is the tens digit of z?
3
Suppose -433*l - 729 = -442*l. Suppose l*i - 69*i - 10872 = 0. What is the tens digit of i?
0
Let n be ((-2)/(-5))/((-14)/280). Let x(z) be the first derivative of -z**3/3 - 5*z**2 - 12*z + 27. What is the units digit of x(n)?
4
Suppose 0 = 3*l + 2*j - 708, -2*
|
{
"pile_set_name": "DM Mathematics"
}
|
cond derivative of -r**4/4 + 3*r**2/2 + 5*r. Suppose g(t) = 0. What is t?
-1, 1
Suppose 13 = 5*u + b - 0, u = -5*b + 17. Solve 1/4*j + 0 - j**3 - 1/2*j**u + 1/2*j**4 + 3/4*j**5 = 0.
-1, 0, 1/3, 1
Let i(w) be the first derivative of -w**9/3024 - w**8/420 - w**7/140 - w**6/90 - w**5/120 + w**3 - 3. Let s(l) be the third derivative of i(l). Factor s(k).
-k*(k + 1)**4
Let v(i) be the second derivative of -i**4/12 + 4*i**3/3 - 9*i**2/2 - 3*i. Let y be v(6). What is x in -6*x**3 + 0 + x + 9*x**2 - x - y = 0?
-1/2, 1
Let v = -287 + 301. Factor -64/7*j + 8/7 + 22*j**2 - v*j**3.
-2*(j - 1)*(7*j - 2)**2/7
Let b be ((-3)/5)/(378/(-140)). Let w(h) be the first derivative of -2/3*h**2 - b*h**3 - 2/3*h + 2. Determine o, given that w(o) = 0.
-1
Factor 75/7*w - 15/7*w**2 - 125/7 + 1/7*w**3.
(w - 5)**3/7
Factor -3*r**3 - 14*r**4 + 2*r**3 + 13*r**4.
-r**3*(r + 1)
Let y = -3 + 3. Suppose y*v + g = -2*v + 6, -2*v - 3*g + 10 = 0. Suppose -2*a**3 + v*a**5 - 5*a + 5*a = 0. What is a?
-1, 0, 1
Let w(t) be the first derivative of 14*t**5/5 - t**4 - 14*t**3/3 + 2*t**2 + 37. Factor w(q).
2*q*(q - 1)*(q + 1)*(7*q - 2)
Suppose -h = -5*o + 22, -4*h = h + o + 6. Let g = h + 5. Factor -2*d**4 + d**g + 3*d**4 - 2*d**3 + 0*d**4.
d**3*(d - 1)
Let c(t) be the first derivative of -2*t**3/15 - 8*t**2/5 - 32*t/5 - 8. Suppose c(u) = 0. What is u?
-4
Let s = -1661/6 + 2929/12. Let x = 33 + s. Factor 3/4*t**3 + 0 + x*t + 1/4*t**4 + 3/4*t**2.
t*(t + 1)**3/4
Let p = 353/4 + -88. Let d(g) be the first derivative of 1/12*g**3 + p*g + 1/4*g**2 + 3. Find i such that d(i) = 0.
-1
Let c(p) be the second derivative of -3/80*p**5 - 3/8*p**4 + 0 + 7*p - 3/2*p**3 - 3*p**2. Factor c(m).
-3*(m + 2)**3/4
Suppose -5*a - 8 = -43. Suppose -3*f + a = -8. Factor -4*t**4 + f*t**4 - 3*t**2 - 4*t**4 + 6*t**4.
3*t**2*(t - 1)*(t + 1)
Suppose 0 = -q + 3*x, -q - 2*x - 3 = -8. Solve -54*y**q + 4*y**3 - 2 - 30*y**2 - 4*y + 2 = 0 for y.
-2/5, -1/5, 0
Let c(p) be the second derivative of -p**4/30 - 2*p**3/5 - 9*p**2/5 - 10*p. Suppose c(g) = 0. What is g?
-3
Let t(i) be the first derivative of i**3/6 + 5*i**2/2 + 25*i/2 + 3. Factor t(b).
(b + 5)**2/2
Let l(s) be the second derivative of s**4/2 + 7*s**3/2 + 15*s**2 - 3*s. Let b(z) = -5*z**2 - 20*z - 29. Let y(t) = -3*b(t) - 2*l(t). Let y(n) = 0. Calculate n.
-3
Let d(s) = 9*s**4 + 88*s**3 + 261*s**2 + 351*s + 169. Let v(z) = 3*z**4 + 29*z**3 + 87*z**2 + 117*z + 56. Let x(q) = -2*d(q) + 7*v(q). Factor x(g).
3*(g + 1)*(g + 2)*(g + 3)**2
Let y = 3 - 0. Let u be -1 + 3 - (0 - 1). Let d**2 - 5*d**u + d**y - d**4 + 5*d**3 - d = 0. Calculate d.
-1, 0, 1
Let x(h) be the third derivative of 1/660*h**6 + 1/231*h**7 + 0 + 0*h**4 + 0*h + 3*h**2 + 0*h**3 + 1/462*h**8 + 0*h**5. Let x(u) = 0. Calculate u.
-1, -1/4, 0
Let q(d) be the third derivative of -d**8/60480 + d**7/15120 - d**5/30 - 4*d**2. Let o(y) be the third derivative of q(y). Find w such that o(w) = 0.
0, 1
Factor -6/5*u**3 + 6/5*u + 2/5*u**4 + 2/5*u**2 - 4/5.
2*(u - 2)*(u - 1)**2*(u + 1)/5
Let l(j) = j**3 + 4*j. Let s = 6 + -11. Let b(q) = q**3 + 3*q. Let p(i) = s*b(i) + 4*l(i). Suppose p(y) = 0. What is y?
-1, 0, 1
Let o(l) be the second derivative of -l**5/80 - l**4/16 + l**2/2 - 4*l. Let h(p) be the first derivative of o(p). Factor h(j).
-3*j*(j + 2)/4
Let m(z) = -7*z**3 + 6*z**2 - 6*z - 3. Let g(c) be the second derivative of -c**5/5 + c**4/4 - c**3/2 - c**2 + 6*c. Let f(l) = 5*g(l) - 3*m(l). Solve f(p) = 0.
1
Let p(g) be the second derivative of -2*g**6/15 - 6*g**5/5 - 8*g**4/3 + 4*g**3 + 18*g**2 - 4*g. Let p(c) = 0. Calculate c.
-3, -1, 1
Let o be (-40)/(-75) - (-1 - (-16)/12). What is i in -1/5*i + 1/5*i**3 - 1/5 + o*i**2 = 0?
-1, 1
Let p(u) = u + 7. Let g be p(-4). Let x(r) be the first derivative of 0*r + 1 + 2/9*r**g + 0*r**2. Determine w so that x(w) = 0.
0
Let c(h) be the second derivative of h**7/8820 - h**6/420 + 3*h**5/140 + h**4/12 - 3*h. Let g(t)
|
{
"pile_set_name": "DM Mathematics"
}
|
assuming d is positive.
d**(-101/84)
Simplify a*a/(a**11/a)*a/a**15*(a**(-1/4))**(-17) assuming a is positive.
a**(-71/4)
Simplify (u*(u/(u*u*u*u*(u*(u/(u**(-4)*u))/u)/u*u)*u)/u*u*u/u**(-2/81))**(11/8) assuming u is positive.
u**(-1771/324)
Simplify (b**26*b*(b/(b*(b/b**(14/3))/b))/b)/(b**20*b/b**(-19)) assuming b is positive.
b**(-28/3)
Simplify n/(n/(n/(((n**(-8)*n)/n)/n)))*n**(-3/10)*n*n**(15/4)*n*n*n**(1/7)*n assuming n is positive.
n**(2463/140)
Simplify z**0/(z**(3/11)/z*z)*(z*z**19)/z**3 assuming z is positive.
z**(184/11)
Simplify (r*r/((r*r**(-39)*r*r)/r))/(r/r**26)*r*(r*r**(-7)*r)/r*r*r*r**19 assuming r is positive.
r**80
Simplify ((w**1)**(7/5)*(w**(-1/2))**(-18/7))**26 assuming w is positive.
w**(2444/35)
Simplify ((g**(-1/2))**24/(((g*g**1/g*g)/g)/(g**(2/11)/g)))**4 assuming g is positive.
g**(-608/11)
Simplify (n*n*n*n**(-4/7))**(-35/4)/(((n/n**(18/13)*n)/n)/n*(n/(n/n**13))/n) assuming n is positive.
n**(-1657/52)
Simplify (m**(-30)/m)**(-30)/((m**27/m)/(m**28*m)) assuming m is positive.
m**933
Simplify ((k*k/k**(1/5))**(2/11)*k**(-1/9)/(k/k**8))**(-18) assuming k is positive.
k**(-7144/55)
Simplify (u/(u**(3/7)*u))**(1/29)*u/u**0*u*((u/(u/((u/(u**(1/14)*u*u)*u)/u)))/u)/u assuming u is positive.
u**(-63/58)
Simplify ((r/((r*r/r**(4/27))/r))/r**33)**(-2/125) assuming r is positive.
r**(1774/3375)
Simplify (q/q**(-1/4)*q**(-5/3))/(q**16/q**8) assuming q is positive.
q**(-101/12)
Simplify ((r*r**(-12))/r)**(1/3)*((r*r/(r/(r*r**(5/2)))*r)/r)**(6/19) assuming r is positive.
r**(-49/19)
Simplify ((s**12*s*s*s)/s**(-1/19))**(-28) assuming s is positive.
s**(-8008/19)
Simplify (o/((o/(o/(o*o/o**(-14))))/o))/((o*o**(-2/9))/o)*(o/(o*o**(1/4)*o*o))**(3/11) assuming o is positive.
o**(-5699/396)
Simplify (d*d/((d/(d/d**(-1)))/d)*d/(d*d**(-8/7)))/((((d**(-6/11)*d)/d)/d)/(d*d*d**(-1/5))) assuming d is positive.
d**(3268/385)
Simplify ((u*u**(3/8)*u**(-2/9))/(u**(-2/25)/u**(-2/31)))**(1/7) assuming u is positive.
u**(65189/390600)
Simplify ((h**(3/11)/h*h**18)**(4/5))**(-5/3) assuming h is positive.
h**(-760/33)
Simplify (u**(-3)*u)**(3/26)/(u/u**(2/21)*u**(-11)) assuming u is positive.
u**(2693/273)
Simplify ((w*w**(-22))/w**(7/4))**(-9/2) assuming w is positive.
w**(819/8)
Simplify (j/j**(-1/7))**19/((j*j/((j**(-3/29)/j*j)/j*j)*j*j*j)/j**(12/5)) assuming j is positive.
j**(19296/1015)
Simplify ((g**(1/3))**(2/39)/(g**(-1)/(g*g**(-5/2))))**(8/7) assuming g is positive.
g**(-452/819)
Simplify ((v*v**(1/25))**(-5))**(2/57) assuming v is positive.
v**(-52/285)
Simplify (o**(-2/13)*o**0/o*o*o)/(o/((o/(o/(o**(-1/4)/o)))/o))**(-1/3) assuming o is positive.
o**(301/156)
Simplify ((i/(i**(-2/15)/i)*i)**(-38))**32 assuming i is positive.
i**(-57152/15)
Simplify s/s**12*s/(s/s**(-5))*s**(-1/15)*s*s/((s*s**(-6))/s*s) assuming s is positive.
s**(-136/15)
Simplify (j/(j/((j**(1/9)*j)/j)))/(j*j*j*j**6)*(j*(j/(j/(j/j**(-17))*j))/j)/(j/((j**11/j)/j)) assuming j is positive.
j**(145/9)
Simplify ((i**(-4)*i**1)/(i**(2/11)/i*i**(-4)))**5 assuming i is positive.
i**(100/11)
Simplify m**8/m*m/m**0*(m**2)**(5/8) assuming m is positive.
m**(37/4)
Simplify (o**(-11)/o)**(-40)*(o**(2/19))**(1/38) assuming o is positive.
o**(173281/361)
Simplify (j/j**(2/5))**(-1/9)/(j**(-8/5)*j/j**(-13)) assuming j is positive.
j**(-187/15)
Simplify v**18/v*v*v**(-18)/v*((v*v*v*v*v*v**(-1)/v*v*v)/v*v)**(-29) assuming v is positive.
v**(-146)
Simplify b**(-3/8)/b**8*b**(2/25)*b*b**(-5) assuming b is positive.
b**(-2459/200)
Simplify (h*h**27/h)/(h**(3/8)/h)*(h**8/h*h)/(h*h*h**5/h*h) assuming h is positive.
h**(229/8)
Simplify (y**(-17))**(-1)/(y*(((y/(y*y/(y*y**(2/5)))*y*y)/y)/y)/y)**(1/29) assuming y is positive.
y**(2463/145)
Simplify ((r*r/(r**(1/3)*r*r))/r)**(1/4)/(r**(1/3))**(19/3) assuming r is positive.
r**(-22/9)
Simplify (s/(s*s**8/s*s)*s*s)/(s*s**14)*(s**(-6)/s)/s*s/s**(6/7) assuming s is positive.
s**(-202/7)
Simplify (((o**(-1/8)*o)/o**20)**(-6))**(-24) assuming o is positive.
o**(-2754)
Simplify ((y*y**(6/7)*y*y)/y*(y*((y**(5/3)*y)/y)/y)/y)/(y**(-4/7))**23 assuming y is positive.
y**(50/3)
Simplify v**23*v**17*(v**(6/5)*v)/(v*v*v**(-3)*v*v) assuming v is positive.
v**(206/5)
Simplify (l*l/(l/(l*l*l**(3/5)*l)))/(l*l/(l/(l**8/l))*l)*l**(2/7)/(l/(l*l/l**7*l)*l) assuming l is positive.
l**(-354/35)
Simplify v**(-16)*v**(-6)*(v*(v*v**(-1/3))/v)/v*(v**(4/11)/v)/v assuming v is positive.
v**(-791/33)
Simplify ((((p/((p**(-5)/p)/p))/p)/(((p*p**(-11)*p)/p
|
{
"pile_set_name": "DM Mathematics"
}
|
d to 0 dps?
-4
Let y = 7.682 - 7.6. Round y to two decimal places.
0.08
Let z = 6.1 + 1.9. Let u = -7.94 + z. What is u rounded to 1 decimal place?
0.1
Let h = -8.9 - 0.1. Let k = h + 9.0014. Round k to 3 dps.
0.001
Let o = -104.14 + 105. Let l = o + -0.8. Let d = 0.68 - l. What is d rounded to 1 decimal place?
0.6
Let v be (186 - 2)/((-4)/46). Let a = v + 9116. Round a to the nearest 10000.
10000
Let n = 0.038 + -0.0379981. Round n to 6 dps.
0.000002
Suppose -3*b + 2250000 = -12*b. What is b rounded to the nearest 100000?
-300000
Let p = 146.771 - 147. Let j = 0.2189 + p. Round j to three decimal places.
-0.01
Let u = -413302.79005 - -413472.79005121. Let v = -170 + u. What is v rounded to 7 decimal places?
0.0000012
Let d = 5.0441134 + -0.0441374. Let y = d - 5. Round y to 5 dps.
-0.00002
Let n(v) = 11001*v**2 - v - 2. Let q be n(2). What is q rounded to the nearest ten thousand?
40000
Suppose -2*g + 0*g = -6. Suppose 0 = g*d + 3 - 42. What is d rounded to zero decimal places?
13
Let p = 49.77 - 50. Round p to one decimal place.
-0.2
Let j = -4549 - -4475.62. Let q = j - -74. Round q to 1 decimal place.
0.6
Let f be 1250785/2 + 1/2. Let s = 427889 + -192504. Suppose -2*l - 259988 = 3*j, -3*l + 2*j + s = f. Round l to the nearest 100000.
-100000
Suppose -3*q = 4*j - 1554008, 2 + 2 = 2*j. Round q to the nearest one hundred thousand.
500000
Suppose 3 = -2*y + 37. Let g = -44 + y. What is g rounded to the nearest ten?
-30
Suppose -12 = m + 3*i, -4*i - 11 = 5*m + 5. Suppose m*o = 2*o - 8. Suppose b = -2*p - 10, 5*p + 14 = -o*b - 11. What is p rounded to the nearest integer?
-5
Let s = -420 - -420.0000571. What is s rounded to five decimal places?
0.00006
Let n = 2.15 - 2. Let u = 5.85 + n. Let r = u + -5.996. What is r rounded to two decimal places?
0
Let q = 11502 + -11368.344. Let j = -113.65566 + q. Let h = j + -20. Round h to four decimal places.
0.0003
Let i = -0.375953 + -0.124117. Let r = i + 0.5. Round r to four decimal places.
-0.0001
Let v(x) = -373*x - 9. Let f be v(-3). What is f rounded to the nearest one thousand?
1000
Let z = 0.67 - 0.6699892. Round z to 6 decimal places.
0.000011
Let g = 2226803 - 2226796.700062. Let p = g + -6.3. Round p to five dps.
-0.00006
Let q(a) be the second derivative of a**5/2 + a**4/12 - a**3/6 + 3*a**2/2 - a. Let p be q(-2). What is p rounded to the nearest 10?
-70
Let n = -1.5 + 0.6. Let k = 0.90000048 + n. What is k rounded to seven decimal places?
0.0000005
Let j = 36 + -36.00029. What is j rounded to 4 dps?
-0.0003
Let z(n) be the third derivative of n**4/8 + 3*n**3/2 - 2*n**2. Let k(h) = -8*h**3 - h. Let d be k(-1). Let i be z(d). What is i rounded to the nearest ten?
40
Let w(a) be the second derivative of 227*a**3/3 + a. Let x be w(3). Suppose 3*s = -4*r - 2717, 3*r + 2*s - x = 5*r. Round r to the nearest one hundred.
-700
Let m = 70.6 + -73.59. Let y = -3 - m. Let t = y - -0.01000035. Round t to 7 decimal places.
0.0000004
Let g = 0.1 + -1.1. Let j = g - 1. Let x = 2.0000002 + j. What is x rounded to 6 decimal places?
0
Let a = -224 + 224.0000455. What is a rounded to 6 dps?
0.000046
Suppose 0 = 3*o + 5*u - 2*u - 10722, -3*o + u = -10706. What is o rounded to the nearest 100?
3600
Let t = -4.17 - -6.5. Let j = t - 2.32999893. What is j rounded to seven decimal places?
0.0000011
Suppose -3*g - 3*z - 4056 = 0, 5*z = 4*g + 3*z + 5384. Let i = 448 + g. Round i to the nearest 1000.
-1000
Suppose 4*v = -2*k + 236, -2*v = v - 2*k - 170. Suppose -g + 3*g = -v. Round g to the nearest 10.
-30
Let s = 1.5 + -2.2. Let g = s + -5.1. What is g rounded to the nearest integer?
-6
Let t = 746806996.00000035 - 746807014. Let x = t - -18. Round x to seven dps.
0.0000004
Let m = 14221 - 21621. What is m rounded to the nearest 1000?
-7000
Let y = 14.64 + -0.75. Let h = -0.11 - y. Let o = 14.046 + h. Round o to 2 dps.
0.05
Let j = -0.12 + -0.08. Let y = j - -0.20003. What is y rounded to 4 dps?
0
Let q = -0.062202 + 0.0629. What is q rounded to four dps?
0.0007
Let i = 48 + -140. Let l be i*(2 + -6 + 2). Round l to the nearest ten.
180
Let n(v) be the first derivative of 13125*v**4 + v**3/3 + v**2/2 - 2*v + 3. Let w be n(-2). What is w rounded to the nearest one hundred thousand?
-400000
Let v(p) = p - 4. Suppose 2*i + j = 12 - 1, i = -4*j + 2. Let x be v(i). Suppose -3*b = 6*o - 3*o + 1275, 3*b = x*o + 825. What is o rounded to the nearest 100?
-400
Let s = 2.5 + 27.5. Let n = s + -30.000052. What is n rounded to 5 dps?
-0.00005
Let a(q) = 2250002*q**2 - 4*q + 2. Let b be a(2). Suppose 5*v + 3*p + 8999997 = 0, -2*v - 3*v = -2*p + b. What is v rounded to the nearest 1000000?
-2000000
Let l(g) = 3499*g**3 - 2*g**2. Let u be l(-2). What is u rounded to the nearest 10000?
-30000
Let k = -11.5 - 38.7. What is k rounded to the nearest integer?
-50
Suppose 2*g + 5*u - 8915669 = 0, 2*u - 8180829 - 9650501 = -4*g. Suppose 0 = f + g + 4742168. What is f rounded to the nearest 1000000?
-9000000
Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
tive of 9*j*y**4 - 41*j*y**2 - 1007*j*y - 11006115*j wrt y?
36*j*y**3 - 82*j*y - 1007*j
Find the third derivative of 43958051*w**3 + 16858545*w**2 + 2*w wrt w.
263748306
What is the derivative of l*t**3*y - 18*l*t**3 - 6988*l*y + 5*l + 11794*t**3 - 1506*t*y - 5 wrt y?
l*t**3 - 6988*l - 1506*t
Find the second derivative of 144122175*p**2*q - p*q + 143*p - 46984*q + 8 wrt p.
288244350*q
Find the third derivative of 24516260*m**3*y**5 - 36*m**3*y**2 + 5*m**3 + 2*m**2 + 614*m*y**2 wrt y.
1470975600*m**3*y**2
What is the second derivative of -198403*a**5 - 20*a**3*c**2 - 25*a*c**2 - a*c - a - 42885*c**2 + 2*c wrt a?
-3968060*a**3 - 120*a*c**2
Find the third derivative of -138730077*h**3 - 439*h**2 + 2*h - 2387.
-832380462
What is the first derivative of 2984*s*x**2 + 3337*s*x + 428342*s + 2*x**3 + 1 wrt x?
5968*s*x + 3337*s + 6*x**2
What is the third derivative of 127135489*p**5 - 2*p**3 - 2*p**2 - 129885728*p wrt p?
7628129340*p**2 - 12
What is the third derivative of -10519*a**2*i**3 - 2*a**2*i**2 + 465*a**2*i + 89*a**2 - 41*a*i**5 - a*i**2 wrt i?
-63114*a**2 - 2460*a*i**2
What is the second derivative of -4523075*w**2 + 6*w - 976707 wrt w?
-9046150
Find the second derivative of 9969*q**4 + 1485*q**3 - 320327849*q.
119628*q**2 + 8910*q
What is the first derivative of -5*s**2 - 593814*s - 719571?
-10*s - 593814
Find the first derivative of -170*p**3 + 68*p**2 + 42*p + 2359084 wrt p.
-510*p**2 + 136*p + 42
Find the first derivative of -18487488*b**4 - 12617567.
-73949952*b**3
Find the third derivative of 5001074*a**4 - a**2 - a - 230361 wrt a.
120025776*a
What is the first derivative of 536*n*p*x - 129813*n*x - 32*p*x + 2*p - 14*x - 4142 wrt n?
536*p*x - 129813*x
Find the first derivative of -65*h**3*m*o*t + 48*h**3*m + 2*h**3*o + 69*h**3 + 2*h**2*t - h*m + 14*m*t - 203*o*t wrt o.
-65*h**3*m*t + 2*h**3 - 203*t
What is the third derivative of -548618*v**6 + 3*v**4 + 33980*v**2 - 297*v?
-65834160*v**3 + 72*v
Find the third derivative of -580423323*a**3 + 15*a**2 + 2228*a + 494 wrt a.
-3482539938
Find the first derivative of 282149181*p**3 - 1222098253.
846447543*p**2
Find the second derivative of 95024*c**3*r**2*x - 76*c**3*r*x + c**2*r + 15*c*r**2*x**3 - 4029*c*x**3 + r*x**3 - 1 wrt r.
190048*c**3*x + 30*c*x**3
Find the first derivative of -2817*a**4 + 968*a*n**3 - 2*a*n + n**3 + 5*n**2 - 2839212*n wrt a.
-11268*a**3 + 968*n**3 - 2*n
What is the derivative of -5*a**4 + 124263*a**3 + 10*a**2 + 1820763 wrt a?
-20*a**3 + 372789*a**2 + 20*a
Find the second derivative of 6*o**4 - 66*o**3 + 727*o**2 + 5496427*o wrt o.
72*o**2 - 396*o + 1454
Find the first derivative of -167*y**3 - 18026*y**2 - 43729082 wrt y.
-501*y**2 - 36052*y
Find the third derivative of -115*d*i**3*m**3 + 17*d*i*m**2 - d*m**3 + 3472*d*m**2 + 2*i**3*m - 808965*i**3 + 7*i**2*m wrt i.
-690*d*m**3 + 12*m - 4853790
What is the first derivative of 2065*t**2 + 94213*t - 268993865?
4130*t + 94213
Find the third derivative of 46*p**5 - 4117*p**4 - 3*p**3 + 57128231*p**2 wrt p.
2760*p**2 - 98808*p - 18
What is the second derivative of 2*b*y**3 + 5*b*y**2 + 4838*b*y + 56507*y**3 + y + 174 wrt y?
12*b*y + 10*b + 339042*y
What is the second derivative of -345550613*p**5 + 6617*p - 668 wrt p?
-6911012260*p**3
Differentiate -96662397*o*z - 41189428*z wrt o.
-96662397*z
What is the derivative of -238185740*k**2 + 227854808 wrt k?
-476371480*k
What is the first derivative of -441296484*s**2 + 201329008 wrt s?
-882592968*s
What is the first derivative of 4*k**2 + 799544*k + 16949711 wrt k?
8*k + 799544
Find the third derivative of w**5 - 1325533*w**4 + 20*w**3 + 202791965*w**2 wrt w.
60*w**2 - 31812792*w + 120
What is the second derivative of 11*g**2*y**2 + 4*g**2*y + g**2 - 9480279*g*y**2 - g*y + g - 18*y - 4 wrt y?
22*g**2 - 18960558*g
Find the third derivative of 1468*h**6 + 9340*h**5*m + 9105003*h**2*m - h*m wrt h.
176160*h**3 + 560400*h**2*m
What is the second derivative of -21290761*v**2*y - 9*v*y + v + 166*y - 262 wrt v?
-42581522*y
Find the second derivative of -53790*s**3 - 368*s**2 + 246701525*s - 2 wrt s.
-322740*s - 736
What is the third derivative of 6*a*f**4 + 242*a*f**3 - a*f**2 + 2*a*f + 3*a - 12*f**4 - 9*f**3 - 4784*f - 5 wrt f?
144*a*f + 1452*a - 288*f - 54
Find the second derivative of -t**3 - 9886499*t**2 + 6640*t - 45 wrt t.
-6*t - 19772998
Find the first derivative of -29945739*r
|
{
"pile_set_name": "DM Mathematics"
}
|
- 712612.
68*g**3
Collect the terms in 2*f**3 - 6*f + 35*f**2 - 35*f**2 - 19*f.
2*f**3 - 25*f
Collect the terms in -6*s**2 + 104132279 - 104132279.
-6*s**2
Collect the terms in 7 - 19 + 81*j - 1 - 12.
81*j - 25
Collect the terms in 23*x**3 - 4*x**2 + 25*x**3 - 11 - 50*x**3 + 4*x**2.
-2*x**3 - 11
Collect the terms in 34*b - 33*b**2 - 39*b - 6*b**2.
-39*b**2 - 5*b
Collect the terms in -2*o + 2*o - 873*o**2 - 880*o**2 + 1754*o**2.
o**2
Collect the terms in -4482191*d + 4482191*d - 2*d**2 + 5*d**2.
3*d**2
Collect the terms in -109*t**3 - 2*t**2 + 56635*t + 2*t**2 - 56635*t.
-109*t**3
Collect the terms in -19*p - p + 3538377 - 3538377.
-20*p
Collect the terms in 121*w - 42*w - 42*w.
37*w
Collect the terms in 53*t - 100*t + 47*t - 55*t**2 + 3.
-55*t**2 + 3
Collect the terms in 229 - 115 - 114 - 9*i**3 + 3*i**3.
-6*i**3
Collect the terms in 215*m**3 - 278*m**3 - 373*m**3 - 468*m**3 + 155*m**3.
-749*m**3
Collect the terms in -884*a**3 + 882*a**3 + 23*a**2 + 34*a**2 + 12*a**2.
-2*a**3 + 69*a**2
Collect the terms in 116 - 38*v**3 - 85*v**3 - 116 + 133*v**3.
10*v**3
Collect the terms in 17*d**3 - 55*d**3 + 16*d**3 + 14*d**3 + 12*d**3.
4*d**3
Collect the terms in 110*l**2 - 8 + 6 + 185*l**3 - 178*l**3.
7*l**3 + 110*l**2 - 2
Collect the terms in -192 - 209 + 600 + 13*x - 199.
13*x
Collect the terms in -3354*f**2 + 3373*f**2 + 4 + 1.
19*f**2 + 5
Collect the terms in -16006*y**3 + 53655*y**3 + 321 - 321.
37649*y**3
Collect the terms in 23*r - 14*r + 68*r**2 - 9*r - 69*r**2.
-r**2
Collect the terms in -25*s**2 + 12*s**2 - 40*s**2 + 15*s**2.
-38*s**2
Collect the terms in -181*r + 91*r - 213*r**3 + 90*r.
-213*r**3
Collect the terms in -105*q - 100*q - 98*q + 407*q - 105*q + 21*q**2.
21*q**2 - q
Collect the terms in -697*n + 26 - 405 - 5*n**2 + 697*n + 15.
-5*n**2 - 364
Collect the terms in -20*k**3 - 54 + 6*k**3 - 5*k**3 + 55.
-19*k**3 + 1
Collect the terms in -304650*i**3 + 913931*i**3 - 304644*i**3 - 304644*i**3.
-7*i**3
Collect the terms in -778297*i + 8 + 778296*i - 8.
-i
Collect the terms in 1 + 1 + 0 - 14541*z - 2852*z.
-17393*z + 2
Collect the terms in 63*n**3 - 39*n + 23*n + 16*n.
63*n**3
Collect the terms in -347*r**2 - 329*r**2 + 1380*r**2 - 355*r**2 - 345*r**2.
4*r**2
Collect the terms in 16819*z**3 - 8438*z**3 - 8407*z**3.
-26*z**3
Collect the terms in -155*u**2 + 1 - 150*u**2 + 0 + 297*u**2 - 3.
-8*u**2 - 2
Collect the terms in -47887*h**3 + 23966*h**3 + 23956*h**3.
35*h**3
Collect the terms in 4162*a**3 + a - 3853*a**3 - a.
309*a**3
Collect the terms in 21946*w**3 - 4 - 22129*w**3 + 4.
-183*w**3
Collect the terms in -2*a**2 + 4 - 8135*a - 4.
-2*a**2 - 8135*a
Collect the terms in 52*b + 109*b + 56*b + 58*b - 341*b + 58*b.
-8*b
Collect the terms in -551*s**2 + 83*s**2 + 341*s**2.
-127*s**2
Collect the terms in 0*f**2 + 25*f + 25*f - 84*f + 26*f - 8*f**2.
-8*f**2 - 8*f
Collect the terms in 2572*x**3 + 4411*x**3 - 1775*x**3.
5208*x**3
Collect the terms in -14*h - 2 + 1 + 5 + 9.
-14*h + 13
Collect the terms in -7093 + 7093 - 122*w.
-122*w
Collect the terms in -128052 + 522*f + 128052.
522*f
Collect the terms in -1 + 104621*v + 1 - 104607*v.
14*v
Collect the terms in -189 - 194 + 562 - 3*f - 185.
-3*f - 6
Collect the terms in -1113*f + 1257*f + 0 + 0.
144*f
Collect the terms in -40*a - 34 - 8*a - 29 + 19.
-48*a - 44
Collect the terms in -54*c**3 - 169*c**3 + 191*c**3.
-32*c**3
Collect the terms in -538*w**2 - 533*w**2 - 35*w**3 + 1071*w**2.
-35*w**3
Collect the terms in -169 - 3*r + 182 + 1229.
-3*r + 1242
Collect the terms in -16*t**3 + 49*t**3 - 15*t**3 - 35*t.
18*t**3 - 35*t
Collect the terms in 102*g - 21*g - 22*g - 14*g - 17*g.
28*g
Collect the terms in 720*z**2 - 2 + 767*z**2 + 4.
1487*z**2 + 2
Collect the terms in 2 + 1102*r**2 - 11 + 9.
1102*r**2
Collect the terms in 1 + 6*j - 11*j - j - j.
-7*j + 1
Collect the terms in 2 - 6 + t**3 + 12 - 4 - 4.
t**3
Collect the terms in -507633*a**2 + 1015279*a**2 - 507645*a**2.
a**2
Collect the terms in 105*c - 197*c + 99*c.
7*c
Collect the terms in -2973 + 15*y**3 - 2973 - 2967 + 8913.
15*y**3
Collect the terms in -106433312324*d - 3*d**3 + 106433312324*d.
-3*d**3
Collect the terms in -4 - 8 + 12 - 75748*h**3.
-75748*h**3
Collect the terms in -30*j**2 + 49*j**2 - 45*j**2.
-26*j**2
Collect the terms in 8
|
{
"pile_set_name": "DM Mathematics"
}
|
3*m**2*o*x + 2*m**2*x - 11*m*o**2*x + 20 wrt m?
-12*o**2*x + 14063922*x - 150
What is the first derivative of -25711669*x**3 + 6080331 wrt x?
-77135007*x**2
What is the second derivative of -130*b**3*c**2 - 749*b**2*c**2 + 3*b*c**2 - 248126*b wrt b?
-780*b*c**2 - 1498*c**2
What is the third derivative of 66513796*i**3*q*w**2 + 2*i**3*q - i**2*q*w**2 + 147*i**2*q*w - 1800*i**2 - i*q*w**2 + 2*i*q - 24*w**2 wrt i?
399082776*q*w**2 + 12*q
Find the second derivative of -11968475*k**4 - 2*k**3 + k**2 + 113234475*k.
-143621700*k**2 - 12*k + 2
What is the third derivative of -4851852*b**5 + 436*b**2 - 54*b + 32 wrt b?
-291111120*b**2
What is the second derivative of -39067860*v**4 - 82418*v - 126?
-468814320*v**2
Find the third derivative of 88021250*b**5 + 7*b**4 + 51530669*b**2.
5281275000*b**2 + 168*b
What is the third derivative of 19153128*a**4 - 4*a**2 + 25*a - 10403 wrt a?
459675072*a
Find the second derivative of 902446856*d**2*s**2 - 123*d**2*s - 1200030*d*s wrt s.
1804893712*d**2
Find the third derivative of -6*g**5 + 836474*g**3 - 524850408*g**2.
-360*g**2 + 5018844
Find the third derivative of 42509823*d**2*s**3 - 2*d**2 + 4*d*s**2 - 19*d - 2*s**2 - s + 98 wrt s.
255058938*d**2
Find the first derivative of -118*a**2*m*n**2 + 245561*a**2*m*n - a**2*n - 3*a**2 - a*n**2 - 2*a + 169*n + 6486 wrt m.
-118*a**2*n**2 + 245561*a**2*n
What is the second derivative of -998076*a*c**3 + 2*a*c**2 + 200387*a*c - a + 7*c**3 + 3*c**2 + 7*c - 1 wrt c?
-5988456*a*c + 4*a + 42*c + 6
What is the third derivative of 203978920*t**4 + 2*t**3 + 51120842*t**2?
4895494080*t + 12
What is the second derivative of 464278759*r**4 + 4577584*r + 72?
5571345108*r**2
What is the second derivative of -203*h**3 - 120557*h**2 + 3635*h - 11174?
-1218*h - 241114
What is the derivative of 5040356*g**3*y - 15941468*g**3 wrt y?
5040356*g**3
What is the third derivative of 715206*b**3*d**2*n + 2*b**3*n**2 + 2*b**2*d*n + 10*b**2*n**2 - 163497*b*d**2*n wrt b?
4291236*d**2*n + 12*n**2
What is the derivative of 87612594*s**3 + 462851012?
262837782*s**2
Find the second derivative of -79*f**4 - f**3 - 17881*f**2 + 34961345*f wrt f.
-948*f**2 - 6*f - 35762
Find the second derivative of -13352507*u**2 - 55649*u - 31.
-26705014
Find the first derivative of -1677127*y - 3861000 wrt y.
-1677127
What is the second derivative of -p**3*u**2 + 1315*p**3 - 6873*p**2*u - 463192*p*u**2 - 460*u**2 wrt p?
-6*p*u**2 + 7890*p - 13746*u
What is the second derivative of -31817407*l**2 - 220217722*l?
-63634814
What is the third derivative of -3850*s**5 + 3548*s**4 - 2*s**3 - 66248131*s**2 wrt s?
-231000*s**2 + 85152*s - 12
What is the third derivative of -220783*r**6 + 5*r**5 - 169*r**2 - 594*r wrt r?
-26493960*r**3 + 300*r**2
What is the derivative of 59902086*i**4 - i**2 - 145083825?
239608344*i**3 - 2*i
Find the first derivative of -726678838*a**3 + 614118037 wrt a.
-2180036514*a**2
Differentiate -7436173*z**2 - 4395545 with respect to z.
-14872346*z
Find the third derivative of -160404*k**3 - 9520735*k**2 wrt k.
-962424
Differentiate -4949710*j*m**4 + 4*j*m**2 - j + 49124481 wrt m.
-19798840*j*m**3 + 8*j*m
What is the derivative of -13083462*f*u + 19143*u - 1274 wrt f?
-13083462*u
What is the third derivative of 7*i**3*u**3 - 3*i**3 + 2*i**2*u**3 + 83592*i*u**3 - 12*i*u**2 + 95*i*u + i - 77 wrt u?
42*i**3 + 12*i**2 + 501552*i
Find the second derivative of 191716*f**3 + 42*f**2 + 6177404*f.
1150296*f + 84
Find the second derivative of 2*c**3*q + 411188*c**3 - c**2*q + 7*c**2 + 7908*c*q + 1058*q wrt c.
12*c*q + 2467128*c - 2*q + 14
Differentiate -929889*c**3*d**2 - 60*c**3 + 3368*d**2 + 2238 with respect to c.
-2789667*c**2*d**2 - 180*c**2
What is the second derivative of 2*a**5 + 192*a**3 - 6905*a**2 + 4040*a - 27753 wrt a?
40*a**3 + 1152*a - 13810
Find the third derivative of -122372941*s**3 - 869075132*s**2 wrt s.
-734237646
What is the second derivative of 22*u**4 + 1929793*u**3 - u - 44906750 wrt u?
264*u**2 + 11578758*u
What is the second derivative of -686*c**5 - 3*c**4 - 10516*c**2 + c + 105019293 wrt c?
-13720*c**3 - 36*c**2 - 21032
Find the third derivative of -26*g**3*l + 81701*g**3 + 70714*g**2*l + 22*g*l wrt g.
-156*l + 490206
What is the derivative of 2*n*o**2 - 23210*n*o - 769475*n - o**2 + 26*o wrt o?
4*n*o - 23210*n - 2*o + 26
Find the third derivative of -14019*w**4 - 3888*w**3 + 187*w**2 + 3*w - 34384.
-336456*w - 23328
Find
|
{
"pile_set_name": "DM Mathematics"
}
|
550.
45
Let v = -9 - -14. What is the lowest common multiple of 9 and v?
45
Let l(v) be the third derivative of v**5/60 + v**4/12 - v**3/6 - 5*v**2. Calculate the lowest common multiple of 8 and l(-3).
8
Calculate the common denominator of ((-291)/9)/(16/6) and 9/11.
88
Suppose -4*i + 14 = -3*i. What is the smallest common multiple of i and 138/7 + 2/7?
140
Let l = -8 - -11. Let v = -1 - -3. Calculate the lowest common multiple of v and l.
6
Let w = 11 + -8. Suppose 0 = -q - 5, -3*c + 7*c - q + 3 = 0. Let o = 10 + c. What is the lowest common multiple of w and o?
24
Let l = -450/29 - -2890/261. Suppose -15 = -5*p, -2*j = -4*j + 5*p - 93. What is the common denominator of (-2)/3 - j/(-27) and l?
9
Let b = -13061/8 - -1637. Calculate the common denominator of b and -99/64.
64
Let d = 49 - 46. Let s = -6 + 14. Suppose -s = -3*i + i. Calculate the smallest common multiple of i and d.
12
Let b = -9/4096 - -3427337/4096. Let s = b - 10343/12. What is the common denominator of -83/10 and s?
30
Find the common denominator of (1/48)/(2915/585 + -5) and -83/12.
96
Suppose 5*j + 5*b = 50, 3*j - b = b + 5. Suppose 0 = s - k + 99, j*s + 2*k + 489 = k. What is the common denominator of 67/6 and (2 + s/(-6))/(-6)?
18
Let o be -2 - 316*(-2)/318. Let k = 3379/3180 + o. What is the common denominator of -111/10 and k?
20
Suppose -2*r + 22 - 14 = 0. Calculate the smallest common multiple of r and 7.
28
Let a = -59 + 823/14. Let p = 499/242 + 1/1936. Find the common denominator of p and a.
112
Let s = 29 + -19. What is the lowest common multiple of (-48)/(-18)*(2 - -1) and s?
40
Let b(t) = 2*t**2 - 3 - t**2 - t + 2*t + t. Let j be b(2). Suppose -j*o = -3*o - 36. Calculate the least common multiple of o and 12.
36
Let k = -2/1349 + 122763/2698. Calculate the common denominator of -87/34 and k.
34
Let m = 6031 + -132753/22. Find the common denominator of -123/20 and m.
220
Let m = -2 + 5. Let t(f) = 2*f - 1. What is the lowest common multiple of 5 and t(m)?
5
Suppose -2*h - h + 5*k = 19, -12 = 4*h - 4*k. Suppose -3*n + 7 = -h*n. Calculate the least common multiple of n and 1.
7
Let w be 4*(1 + 2/(-8)). Suppose -w*i - 2*i = 14550. Let b = 29167/10 + i. What is the common denominator of b and -10/11?
110
Let r = 185729/146090 + 1/10435. Let k = 11/7 - r. What is the common denominator of k and 3/5?
10
Suppose -1 = -5*q + 24. Suppose -p - z = -q, z = -0 - 1. Suppose -11*s + p = -8*s. Calculate the least common multiple of s and 14.
14
Let x = 734 - 5889/8. Find the common denominator of -35/4 and x.
8
Let a = -384686018/18007509 + 55692/2551. Let u = a - 4/543. Find the common denominator of -11/4 and u.
52
Suppose -5*o + 4*l - 24 = -4*o, 4*o + 75 = -5*l. Let f = -3/1934 - -78333/3868. Let w = f + o. Find the common denominator of 13/14 and w.
28
Let x(a) = a**3 - 2*a**2 + 2*a + 1. What is the smallest common multiple of 5 and x(2)?
5
Let h(d) = d**3 - 2*d - 1. Let g be h(-1). Suppose -2*f + 5 = 3*c, 5*f + g*c - 55 = c. What is the lowest common multiple of 6 and f?
30
Let x = 22 - 28. Let h(f) = f**3 + 7*f**2 + 4*f - 7. What is the least common multiple of h(x) and 11?
55
Let b = -1581/148 - -17/296. What is the common denominator of b and 3 - 3*33/36?
8
Find the common denominator of -16/9 and -3*((-1)/(-22)*26 - 0).
99
Let c(u) = u**3 - 3*u**2 - 2*u - 3. Let h be c(4). Let w = 4 - 6. Let b = h + w. What is the least common multiple of 10 and b?
30
Let n be ((-3)/2)/(3/(-8)). Suppose i - n = 1. Let p = -1 + i. What is the lowest common multiple of p and 5?
20
Let m = -2 - -4. Suppose 6 = -3*z + z + 4*g, 3*z - 3 = m*g. Calculate the least common multiple of 2 - 1*3*-2 and z.
24
Let x = -1797 - -28731/16. Let v = 573/112 + -38/7. What is the common denominator of x and v?
16
Let p = 72505/22 - 3294. Let h = 2654 + -10561/4. Calculate the common denominator of p and h.
44
Calculate the smallest common multiple of 11 and 4 + (-3)/((-9)/(-6)).
22
Let b = -2092084307/2491020 - -58/124551. Let a = b - -842. Find the common denominator of a and 111/22.
220
Calculate the common denominator of 1155/(-200) - 2/16 and -79/2.
10
Let m be 0 - 7652/(-16) - (-1 + -3). Let v = 247897/84 - 24189/7. Let q = v + m. What is the common denominator of q and -69/14?
42
Let b(n) = 4*n + n - n**3 - 2 + 8*n**2 - 4*n. Suppose w - 1 = 9. What is the lowest common multiple of w and b(8)?
30
Let h be 3*(32/(-6))/4. Let y be (h/4184)/(2/(-8)). Let o = y - 13620/5753. Find the common denominator of 89/4 and o.
44
Let j be 17/4 - (-27)/36. Suppose 51 = j*u - 59. Calculate the lowest common multiple of 20 and u.
220
Calculate the common denominator of 75/46 and 137/130 - 6/39.
230
Let u be (0 + 4/3)*-18. Let d be 245/(-30) - (-2)/12. Let t = d - u. What is the lowest common multiple of t and 20?
80
Find the common denominator of 75/8 and (-6)/4 + 130/32.
16
Suppose 3*j = 2*j + 10. Suppose 5*d = -2*x - 2*x - 2, 5*d + 3*x = 1. Suppose -d*k = 2*k - 4. What is the least common multiple of j and k?
10
Suppose u + 70 - 27 = 3*w, -4*w + 2*u + 60 = 0. Let x = w + 1. Let y = -28 - -42. What is the least common multiple of y and x?
14
Let t(l) = -5*l + 0*l - 5 + 4*l. Suppose -4 = 3*r - 2*o - 33, -5*r + 50 = -5*o. Calculate the lowest common multiple of r and t(-8).
|
{
"pile_set_name": "DM Mathematics"
}
|
1*z + 7 - 7 - 43*z + 201*z.
37*z
Collect the terms in -668*n**2 - 36 - 7*n + 272*n**2 + 394*n**2 + 7*n.
-2*n**2 - 36
Collect the terms in -6*a**3 - 3944*a - 3840*a + 7486*a.
-6*a**3 - 298*a
Collect the terms in -3*t + 155*t**2 - 155*t**2 + 6*t - 6*t + 135019*t**3.
135019*t**3 - 3*t
Collect the terms in 6058356*g + 6058498*g - 12116846*g.
8*g
Collect the terms in -7*p**2 - 782 + 75*p**2 + 614 - 1088.
68*p**2 - 1256
Collect the terms in -3520*x**2 + 1179*x**2 + 1167*x**2 + 1174*x**2 - 26*x**3 + 42*x**3 - 18*x**3.
-2*x**3
Collect the terms in 1291*o - 12*o**2 - 2593*o - 5 + 5 + 1302*o.
-12*o**2
Collect the terms in -31 + 31 - 18752*h + 15365*h - 99185*h.
-102572*h
Collect the terms in 147194*q + 147187*q + 147177*q - 441556*q.
2*q
Collect the terms in -2745492 + 1373016 + 1372476 + 65*c.
65*c
Collect the terms in 7*d**3 - 2919*d**2 - 1626*d**2 - 3*d**3.
4*d**3 - 4545*d**2
Collect the terms in -25*j - 53*j + 12*j + 7*j + 12*j.
-47*j
Collect the terms in 527*t**2 + 749*t**2 - 5*t - 1268*t**2.
8*t**2 - 5*t
Collect the terms in -493*a + 1143*a + 1 - 545*a.
105*a + 1
Collect the terms in 5243*d - 5251*d + 3006*d**2 - 2942*d**2 - 2*d**3.
-2*d**3 + 64*d**2 - 8*d
Collect the terms in 533*y - 1256*y + 727*y + 25*y**2.
25*y**2 + 4*y
Collect the terms in -87 + 181 - l**3 - 96 + 621*l**2 - 621*l**2 - 10*l**3.
-11*l**3 - 2
Collect the terms in -17*t**2 - 1043*t + 958*t + 4*t**2 + 85*t.
-13*t**2
Collect the terms in -13*o**2 + 256*o - 6*o**2 - 510*o + 254*o.
-19*o**2
Collect the terms in 123 + 392*y**2 + 369*y**2 - 123 + 369*y**2 - 1133*y**2.
-3*y**2
Collect the terms in 312 - 1173*w + 83 + 100.
-1173*w + 495
Collect the terms in 0 - 596*z + 594*z - 1 + 1198*z**3.
1198*z**3 - 2*z - 1
Collect the terms in -2053*c**3 + 17 + 15 - 32.
-2053*c**3
Collect the terms in d**3 + 23*d**2 + 3912 + 1953 - 4*d**3.
-3*d**3 + 23*d**2 + 5865
Collect the terms in -6849*r - 15 - 6 + 6851*r + 6.
2*r - 15
Collect the terms in 381*j + 210*j - 653*j + 61*j.
-j
Collect the terms in 27 + 8 - 35*q**2 + 33*q**2 - 272 + 225 + 12.
-2*q**2
Collect the terms in 1411 - 4*g + 3*g + 8*g + 309.
7*g + 1720
Collect the terms in 6991628 + 257*y - 6991628 - 244*y.
13*y
Collect the terms in -1465*o**2 - 1468*o**2 - 218*o - 172*o + 2932*o**2.
-o**2 - 390*o
Collect the terms in -61659*m**3 - 61669*m**3 + 123330*m**3 - 8*m.
2*m**3 - 8*m
Collect the terms in 404*s + 423*s + 428*s - 187*s - 1098*s.
-30*s
Collect the terms in -354*n - 587*n**2 + 141*n**2 + 355*n.
-446*n**2 + n
Collect the terms in -i**3 - 230 - 257 + 872*i - 269 + 756.
-i**3 + 872*i
Collect the terms in 11*g + 24*g + 27*g + 287*g**2 - 60*g + 63*g**2.
350*g**2 + 2*g
Collect the terms in 302261*b**3 - 604525*b**3 - b**2 + 302283*b**3.
19*b**3 - b**2
Collect the terms in 5 - 2733*o**2 + o**3 - 7 + 2 + 2298*o**2.
o**3 - 435*o**2
Collect the terms in 194426*s - 71*s**3 + 2 + 252*s**3 - 2 - 179*s**3 - 194426*s.
2*s**3
Collect the terms in -1982*q - 1988*q + 5 - 1991*q + 5964*q.
3*q + 5
Collect the terms in -239*v**3 - 232*v**3 - 233*v**3 - 241*v**3 - 238*v**3 + 9 + 1177*v**3.
-6*v**3 + 9
Collect the terms in 573*q + 1122*q + 1 - 293*q + q**3.
q**3 + 1402*q + 1
Collect the terms in -192 + 34 - 638*u + 78 + 78.
-638*u - 2
Collect the terms in -826 - 832 + 2472 + 37*b - 826 + 59*b.
96*b - 12
Collect the terms in -35359*n**2 - 35351*n**2 - 35358*n**2 + 141421*n**2 - 35351*n**2.
2*n**2
Collect the terms in -1414*m + 2 - 1645*m + 2622*m.
-437*m + 2
Collect the terms in 9477383*v + 8494541*v - 5711300*v.
12260624*v
Collect the terms in 2*y**2 - 108*y**2 - 77*y + 157*y - 23*y**2 - 80*y.
-129*y**2
Collect the terms in 5 - 141*l - 2 + 5*l + 195*l - 61*l.
-2*l + 3
Collect the terms in 21402*n**3 - 1062870 - 21404*n**3 + 1062870 - n.
-2*n**3 - n
Collect the terms in -13270136*o**2 + 13270136*o**2 + 4*o**3.
4*o**3
Collect the terms in -4*n - 8086*n**3 - 4*n + 14*n - 4*n - 2*n.
-8086*n**3
Collect the terms in 5034*s + 17826*s + 16460*s.
39320*s
Collect the terms in 63840*x - 14062*x - 40800*x + 111517*x + 60633*x.
181128*x
Collect the terms in -26 + 3414*f - 6822*f + 3*f**2 + 3419*f.
3*f**2 + 11*f - 26
Collect the terms in -2 - 441*g**3 - 3166358*g + 3166358*g.
-441*g**3 - 2
Collect the terms in 839*m - 470*m - 482*m.
-113*m
|
{
"pile_set_name": "DM Mathematics"
}
|
ne d(7).
-10
Let t(k) = -4*k + 2. Let p(n) = -10 + 0*n - 3*n + n + 8. Suppose z - 2*z - 2 = g, -2*g - 2 = z. Let r be p(g). Give t(r).
10
Let b(q) be the third derivative of -q**4/6 - 7*q**3/3 - 1507*q**2. Calculate b(8).
-46
Let a be (-1 + 0/1)*0. Let h be 1*a/1 + -8. Let z(y) = -y**3 + 1705*y**2 - y + 8. Let w(q) = q**3 - 2561*q**2 + 6*q - 9. Let u(x) = 2*w(x) + 3*z(x). Give u(h).
-2
Let f = -10 - -18. Let a(w) = -f*w - 14*w - 7 + 23*w. Calculate a(7).
0
Let s be (68/12 - 5)/(4/18). Suppose m = 3*r - 4, s*r - r + 3*m + 1 = 0. Let i(t) = t - 1 - r + 2 - 2. Determine i(-2).
-4
Let z(r) be the second derivative of -r**3/6 + 5*r**2/2 - 271*r. Suppose -2*m = 3*m + 10. Let p(a) = 1. Let d(w) = m*z(w) + 4*p(w). Calculate d(6).
6
Let h(q) = 2*q - 572*q**2 - 539*q**2 + 1098*q**2. Give h(2).
-48
Let i(k) = k**2 + 10*k - 6. Let t = 4 + -15. Let o be i(t). Let s(n) = -5*n + 2 + 5*n + 4*n - o*n. Calculate s(-4).
6
Suppose -n - 8 = -z, -3*z = 4*n - 27 + 52. Let x(q) = 4*q**2 - 103 + 4*q**2 + 100 - 5*q**2 + 4*q**2 + q**3. Calculate x(n).
-3
Suppose 8*v + 17 = -7. Let s(g) = -g**3 - 4*g**2 + 11*g - 14. Let m(r) = r**3 + 5*r**2 - 10*r + 13. Let x(q) = v*m(q) - 2*s(q). Give x(-8).
-11
Let w(l) = -l**3 + 20*l**2 - 35*l + 1. Let a be (-24)/(-204) - (-1152)/612. Determine w(a).
3
Let s(z) = 8*z - 50. Let b be s(13). Let p(v) = 0*v**2 + v**2 + 49*v - b*v - 2. Calculate p(5).
-2
Let h(l) = 2*l - 4 + 3 - l**2 + 0*l. Let o(c) = c**3 - 14*c**2 + 16*c - 10. Let x be o(13). Suppose 16 = 33*g - x*g. What is h(g)?
-9
Let d(u) = 8*u**2 - 1. Suppose 4*h - 4 = -4*b, 4 - 8 = -2*h - 3*b. Give d(h).
7
Let o be (-16)/(-12)*(-54)/(-24). Suppose -3*x - 1 = -4*s + 2*x, -2*s - 27 = o*x. Let k(i) = 2*i + 0*i - 4*i. What is k(s)?
12
Let x(p) be the first derivative of p**3/3 - 7*p**2/2 - 5*p - 6. Let g(m) = -18*m + 4*m**3 + 2*m**3 - 2 + 21*m. Let l be g(1). Calculate x(l).
-5
Let o = 11765 - 11770. Let w(d) = 2*d - 40. What is w(o)?
-50
Let s be 2 + 9/(-5) - 26/5. Let a(t) be the second derivative of t**4/6 + t**3/2 + 3*t**2 + 2*t - 636. What is a(s)?
41
Let d(k) = -8*k**3 + k**2 - 2*k. Let c(v) = -23*v**3 + 12*v**2 - v + 8. Let x(h) = c(h) - 3*d(h). Determine x(-6).
86
Let i(d) = 1 + 3 - 7 + d**3 - 4 - d + 6 + 3*d**2. Calculate i(1).
2
Let i(l) = -l**3 - 5*l**2 - 2*l - 16. Let y(d) = d**3 - 3*d**2 - 56*d - 17. Let u be y(-6). Determine i(u).
-6
Suppose 1471*r - 125 = 1446*r. Let t(v) = -4*v**2 + 20*v + 3. Determine t(r).
3
Let i(q) be the second derivative of q**3/6 + 17*q**2/2 + 2*q. Suppose 0 = 11*u + 90*u. Give i(u).
17
Let b(u) = -5*u**2 + u - 217. Let d(g) = 19*g**2 - 4*g + 816. Let y(t) = 15*b(t) + 4*d(t). Let j be (2 + -2)/(-2) + 0. Give y(j).
9
Suppose -13*b + 20 = -18*b - 6*j, -3*b + 4*j - 12 = 0. Let d(m) = -m**3 - 5 - 5*m**2 - 1 - m + 3. Calculate d(b).
-15
Let a(l) = l**3 + 6*l**2 - 3*l - 4. Let z(b) = -b**3 + 33*b**2 - 63*b + 47. Let d be z(31). Let q be (-2 - (5 + 0))/(-1). Let k be 14/q + d/(-2). Give a(k).
14
Let y be (-3 - -5)*(0 + -1). Let z = 842 - 836. Let i = y + z. Let x(c) = -c**2 + 4*c + 1. Calculate x(i).
1
Suppose 45*q + 99*q = 4464. Let y(a) be the second derivative of 0 - 1/2*a**2 + 23/6*a**3 - q*a. Give y(1).
22
Let g(d) = -17620 + 35238 - d + 4*d - 5*d - 17625. Suppose -m - 3*m - 5*r + 10 = 0, 2*m - 6 = -3*r. Suppose m*y - y = 7. Calculate g(y).
7
Let s be (-1 - (0 - -3)) + -1. Let n(q) be the third derivative of -q**5/60 - q**4/8 - q**3 + 1543*q**2. Determine n(s).
-16
Let y(t) = t**3 - 8*t**2 - 8*t + 21. Let p be y(8). Let c = p + 43. Let s(v) = -v - 10. Calculate s(c).
-10
Let m(d) = -279*d - 1260. Let z(u) = 9*u + 40. Let j(q) = -2*m(q) - 63*z(q). Let y be (1*-1)/(-9 - -10) + 2. What is j(y)?
-9
Let y(m) = m**3 + 6*m**2 + 6*m + 3. Suppose -23*h + 340 = -488. Suppose 4*o = 5*k + h, 0 = -4*k + 2*k - 4*o + 8. Determine y(k).
11
Let g(j) = 52*j + 27. Let f(n) = 137*n + 81. Let i(q) = 3*f(q) - 8*g(
|
{
"pile_set_name": "DM Mathematics"
}
|
q = 96 + z. What is the remainder when q is divided by 28?
27
Let y = 5384 - 5364. Calculate the remainder when 237 is divided by y.
17
Let l(d) = 7*d**2 + 8*d + 10. Suppose -5*p + 10 = -7*p. Let v be l(p). Let b = -70 + v. Calculate the remainder when b is divided by 26.
23
Let k(x) be the second derivative of 1/6*x**4 + 5/6*x**3 - 3/2*x**2 + 0 - 3*x. What is the remainder when 71 is divided by k(2)?
11
Let w = 1270 + -1259. Calculate the remainder when 1656 is divided by w.
6
Let k(i) = 2*i**2 + 134*i - 509. Suppose -7*m + 3*m = -1160. What is the remainder when m is divided by k(4)?
54
Let v(g) = 35*g**2 + 6*g**3 + 4*g - 7 - 67*g**2 + 28*g**2 - 18*g. What is the remainder when v(5) is divided by 24?
21
Let d(f) = -f**3 + 58*f**2 + 121*f - 40. What is the remainder when 2273 is divided by d(60)?
13
Let s(x) = 942*x + 132. Calculate the remainder when s(1) is divided by 43.
42
Let b(y) be the first derivative of y**3/3 + 4*y**2 + 30*y + 77. Calculate the remainder when b(-11) is divided by 20.
3
Let o = 72466 - 72451. Let v(z) = z**3 + 5*z**2 - 5*z + 2. Calculate the remainder when v(3) is divided by o.
14
Let b = 68 + -66. Suppose -b*k + 12 = k - 2*p, -17 = -k + 5*p. Suppose -3*y + 34 = 3*i - y, y + 25 = k*i. What is the remainder when 47 is divided by i?
11
Suppose p = 2*c - 2364, 122*p + 4764 = 4*c + 111*p. Calculate the remainder when c is divided by 388.
16
Suppose 217617 = 47*p - 133426. Calculate the remainder when p is divided by 31.
29
Suppose 0 = 4*x + 5*h - 117, 2*x = -3*x - h + 120. Let c = -26273 + 26341. What is the remainder when c is divided by x?
22
Suppose 59*o = 55*o. Let q(w) = -6*w - 39. What is the remainder when 9 + -1 - o/(-5) is divided by q(-7)?
2
Let t be 0*((-6)/8)/(18/(-12)). Suppose -2*j + t*j + 60 = 0. Suppose 2*l - 27 = 5*a, l - 3*a + 6*a - j = 0. What is the remainder when 57 is divided by l?
15
Let g(a) = a**2 - 7*a - 5. Let l be g(13). Let o = l + -121. Let x = 85 + o. What is the remainder when x is divided by 13?
11
Suppose -1596 = -7*v + 3*q, 5*v - 1140 = 83*q - 79*q. What is the remainder when v is divided by 16?
4
Suppose 5*t + b = 140, 6*t - 3*t - 4*b - 84 = 0. Let x = 69 - -68. Calculate the remainder when x is divided by t.
25
What is the remainder when 7412/18 + 56/252 is divided by 59?
58
Let h be (-3)/(-18) + 1/(-4 + -2). Suppose h = -5*d - 2*a + 324, 0 = -2*d - 5*a + 96 + 21. What is the remainder when d is divided by 4 + 3*(1 - -1) + 4?
10
Suppose 3*b - 2*j + 158 = 1006, -5*b + 1422 = j. What is the remainder when b is divided by 39?
11
Suppose 5*d - 288 - 267 = 0. Let a = 131 - 25. Let t = d - a. What is the remainder when 16 is divided by t?
1
Let w(v) = 20*v**2 - 9*v - 10. Let x = 566 + -568. What is the remainder when w(x) is divided by 52?
36
Let l = 84 - 37. Suppose -54*h + l*h = -1288. Calculate the remainder when h is divided by 38.
32
Let q(i) = -2*i**3 + 151*i**2 - 70*i - 348. Suppose -20 = -4*g, -4*g - 4 = -3*a - 0*g. What is the remainder when q(75) is divided by a?
3
Suppose 1056 = 59*x + 37*x. Calculate the remainder when (-5)/(5/24)*2/(-3) is divided by x.
5
Let a = -5871 - -5926. Calculate the remainder when 5000 is divided by a.
50
Let a(i) = -76*i - 234. Let d(w) = w**2 - 17*w + 21. What is the remainder when a(-4) is divided by d(17)?
7
Suppose 3*v = 37 + 2. What is the remainder when (v - 5)/4 - (0 + -40) is divided by 11?
9
Let w = 85 + -79. Suppose -12*x = -w*x - 642. Let u = x + -89. What is the remainder when 51 is divided by u?
15
Suppose -3*w = -5*k + 182, k + 9 - 35 = -2*w. Calculate the remainder when 1117 is divided by k.
29
Suppose -142*z + 67980 = -32*z. Calculate the remainder when z is divided by 48.
42
Let k(p) = 23*p + 3. Suppose -22*t = -24*t. Suppose 3*i - 12 = 0, 3*u + 2*i - i - 13 = t. Calculate the remainder when u is divided by k(0).
0
Let k = 7 - 0. Let w(p) = p**2 + 3*p - 1. Let q be w(-4). Suppose 4*y - 10 + 2 = -4*u, 0 = y - q*u - 10. Calculate the remainder when k is divided by y.
3
Suppose 782 = 3*o - 2*j, -182*o = -179*o - 4*j - 790. Calculate the remainder when o is divided by 147.
111
Let b be 16/12 + 10/15. Suppose 0 = -4*f + a + 48, 0*a = 4*f + b*a - 36. Suppose 0 = -f*m - m + 2028. What is the remainder when m is divided by 43?
40
Suppose -316*d + 906 + 1642 = -2824. Calculate the remainder when 780 is divided by d.
15
Suppose -2657*m = -2640*m - 799. Calculate the remainder when 280 is divided by m.
45
Let u(h) = 15*h**3 + 2*h**2 - 4*h + 2. Let l(d) = -68*d - 47. Calculate the remainder when u(2) is divided by l(-1).
17
Let s be (1 + 0 - 6)/((-60)/72). Calculate the remainder when 48 is divided by (-7 + 37)/s - 0.
3
Let f(k) = k**2 - 8*k - 22. Let m be f(10). Let z be ((3 - 14) + m)*3. Let d = z + 42. Calculate the remainder when 18 is divided by d.
0
Suppose 2*x + 2*h - 106 = 0, -110 = -3*x + x - 3*h. What is the remainder when -6*(-2)/12 + x is divided by 22?
6
Let m(k) = 6*k**3 + 55*k**2 + 52*k + 8. What is the remainder when 1435 is divided by m(-8)?
35
Suppose 2*m = -3*g + 9, -5*m - 2703*g = -2707*g - 103. Calculate the remainder when 371 is divided by m.
11
Suppose -x = -0*y + 4*y - 51, 5*y - 300 = -5*x. Calculate the remainder when (-104
|
{
"pile_set_name": "DM Mathematics"
}
|
z + 196 - 202 for z.
-1
Solve 6*v - 4 = -10 for v.
-1
Solve -140*m = -146*m + 12 for m.
2
Solve 15 = -26*o + 21*o for o.
-3
Solve -4*o - 82 = -102 for o.
5
Solve 571 = -111*u - 206 for u.
-7
Solve 7 = 11*p - 18*p for p.
-1
Solve 493 = -4*z + 481 for z.
-3
Solve 3*g = 1218 - 1242 for g.
-8
Solve -9 + 3 = -6*n for n.
1
Solve 124 = -3*u + 34*u for u.
4
Solve 20*o = -15*o for o.
0
Solve 798*q + 51 = 781*q for q.
-3
Solve -91 = -5*q - 76 for q.
3
Solve 46*n + 56*n = 306 for n.
3
Solve 52 = 12*b - 20 for b.
6
Solve -195*t + 1 = -194*t for t.
1
Solve 94*i = 82*i + 24 for i.
2
Solve o = -1 + 6 for o.
5
Solve 0*a - 12 = 3*a for a.
-4
Solve 12*a = -2*a + 42 for a.
3
Solve -50*x = -60*x + 30 for x.
3
Solve -84*y + 182 = 7*y for y.
2
Solve 294*v - 297*v + 15 = 0 for v.
5
Solve 40 = -17*g + 142 for g.
6
Solve -190 = 73*l - 54*l for l.
-10
Solve 19*c = 12 + 7 for c.
1
Solve 9 = -r + 6 for r.
-3
Solve 15*o - 79 = -4 for o.
5
Solve 4*n - 39*n = 35 for n.
-1
Solve -13*b + 0 + 26 = 0 for b.
2
Solve -4*v = -932 + 952 for v.
-5
Solve -6*t - 6 = -4*t for t.
-3
Solve 0 = -3*c + 12 - 0 for c.
4
Solve 308*s = 234*s + 740 for s.
10
Solve -2*s = -18*s - 16 for s.
-1
Solve -65*u + 134*u + 138 = 0 for u.
-2
Solve 15 = 6*j - 27 for j.
7
Solve -2*k + 8 + 0 = 0 for k.
4
Solve -48 = 8*k - 20*k for k.
4
Solve -q - 6*q = 35 for q.
-5
Solve 67*q + 105 = 88*q for q.
5
Solve 6*p = -13*p + 2*p for p.
0
Solve 1478 - 1498 = -10*b for b.
2
Solve -14 = -18*t + 25*t for t.
-2
Solve -p = -11 + 9 for p.
2
Solve -12 = 11*w - 7*w for w.
-3
Solve 5*g + 13 - 28 = 0 for g.
3
Solve -8*u - 142 = -118 for u.
-3
Solve 0 = 18*g - 20 - 70 for g.
5
Solve 6*r + 71 = 89 for r.
3
Solve -77*x = -63*x + 42 for x.
-3
Solve 115*i = 118*i + 12 for i.
-4
Solve -34 = -u - 29 for u.
5
Solve -16*h = -11 + 27 for h.
-1
Solve 9*w - 19*w = 10 for w.
-1
Solve 34*v - 15*v - 38 = 0 for v.
2
Solve -493 - 99 = -74*m for m.
8
Solve -20*t = -42*t for t.
0
Solve 34*s = 39*s - 25 for s.
5
Solve 0 = 15*z + 5*z - 80 for z.
4
Solve 0 = -g + 51 - 52 for g.
-1
Solve -22*q = 77 - 165 for q.
4
Solve 34 + 54 = 22*j for j.
4
Solve 11*q - 12*q - 1 = 0 for q.
-1
Solve 2737*y - 2758*y = -210 for y.
10
Solve 0 = 2*b - 14*b for b.
0
Solve 400 = -115*t + 1090 for t.
6
Solve 61*c - 51*c = 50 for c.
5
Solve 410 = 6*z + 368 for z.
7
Solve g + 4*g = -5 for g.
-1
Solve 0 = -72*m + 57*m - 120 for m.
-8
Solve -85*l + 2 = -83*l for l.
1
Solve -539 = 22*d - 319 for d.
-10
Solve -6*q = -q - 10 for q.
2
Solve 24 = -4*o + 36 for o.
3
Solve 833*g = 834*g + 2 for g.
-2
Solve 10*y + 3*y = 3*y for y.
0
Solve -14*c - 31 = -87 for c.
4
Solve 64 - 160 = -16*c for c.
6
Solve 12 = 8*h - 4*h for h.
3
Solve -28 = -17*m + 10*m for m.
4
Solve 5 = q - 0*q for q.
5
Solve 2 + 18 = 5*j for j.
4
Solve -7*m = 28 - 49 for m.
3
Solve -5 = 8*w + 3 for w.
-1
Solve -10 = -29*p + 27*p for p.
5
Solve -2*x - 36 = -11*x for x.
4
Solve -6*b + 1085 = 1091 for b.
-1
Solve -16*b + 4 = -12 for b.
1
Solve -s = -10*s + 18 for s.
2
Solve -187 = 6*m - 151 for m.
-6
Solve 226*j = 223*j - 6 for j.
-2
Solve -41 = -5*r - 16 for r.
5
Solve -27 = -4*g - 5*g for g.
3
Solve 0 = -32*l + 33*l - 5 for l.
5
Solve 13*a - 99 = -86 for a.
1
Solve 30 + 298 = 41*v for v.
8
Solve -200 = 8*g - 58*g for g.
4
Solve 17 = 10*r - 33 for r.
5
Solve -11 = 18*c - 29 for c.
1
Solve 138*w = 136*w + 6 for w.
3
Solve -23 = -10*y + 7 for y.
3
Solve -11 = 3*c + 4 for c.
-5
Solve -50*d + 165 = -35 for d.
4
Solve 61 = -11*f + 6 for f.
-5
Solve 59 - 53 = 3*n for n.
2
Solve -14*h = 21 - 7 for h.
-1
Solve -10*s - 304 + 324 = 0 for s.
2
Solve 0 = 17*k + 5*k - 88 for k.
4
Solve -1 = 7*a - 8 for a.
1
Solve 219 = 34*g + 49 for g.
5
Solve 2*t = -18*t + 80 for t.
4
Solve -42 - 13 = 11*x for x.
-5
Solve 1457 - 1358 = 11*y for y.
9
Solve -110*o + 111*o = -6 for o.
-6
Solve -2*m - 7 + 11 = 0 for m.
2
Solve 117*d - 115*d = 0 for d.
0
Solve -43*t + 14*t = 116 for t.
-4
Solve 0 = 21*b - 20*b - 3 for b.
3
Solve -103 + 78 = 5*k for k.
-5
Solve -10*f - 10 = 30 for f.
-4
Solve 10*k = 8*k - 2 for k.
-1
Solve 9*d + 17 - 17 = 0 for d.
0
Solve 3*g =
|
{
"pile_set_name": "DM Mathematics"
}
|
n be (12/16)/(561/88). What is the second biggest value in 1.8, 5, n?
1.8
Suppose 12*z + 59 = 23. What is the smallest value in -1/2, 0.04, -0.4, z?
z
Let j(c) = c - 7. Let l be j(10). Let k be ((-1)/(-2))/(l/6). Let m be (k/(-2))/((-4)/(-4)). What is the second smallest value in -2, m, -11?
-2
Let m be (6/(-24))/((-2)/16). Suppose 5*l + m*j + 21 = 0, 8 = 4*j - 0. Which is the second smallest value? (a) -10 (b) 1 (c) 5 (d) l
d
Let y = 0.06 - -8.94. Let u = y + -23. Let c = u + 14.4. What is the third smallest value in -3, c, -0.1?
c
Let d = 0.07688 - 2.07688. Let o = -14/33 + 257/528. Which is the second biggest value? (a) d (b) o (c) -4
a
Suppose 23*d = 13*d + 10. Let l be 9/2*(4 + -2). Suppose -3*q - g - 6 = -2*q, 4*g + l = q. What is the third biggest value in -2, d, q?
q
Let o be 2/(-3) - (-133)/114. What is the third smallest value in 4, 2/13, o, -2/9?
o
Let y be 284 + (-12 - -2) + 8. Which is the second smallest value? (a) -0.1 (b) y (c) 0
c
Let t = 0.7 + -1. Let w = 212 - 210. Which is the biggest value? (a) w (b) t (c) 3
c
Let x = -6 - -11. Which is the fourth smallest value? (a) -1/4 (b) -2 (c) x (d) -3/5
c
Let k = 300 - 329. Which is the third biggest value? (a) -2/19 (b) k (c) -4 (d) 1/2
c
Let g = -2882 - -2882.4. Which is the smallest value? (a) 9 (b) 4/3 (c) g (d) 0.05
d
Let h = -147 - -150. Suppose 2*i + 0 - 6 = z, 5*i + z = 8. Let u be (i + 0)*(-3)/6. Which is the biggest value? (a) 2 (b) h (c) u
b
Let o = -14620/21957 - 6/7319. Let y(l) = -l**2 + 6*l. Let j be y(6). Which is the second biggest value? (a) j (b) -1 (c) o
c
Let d = 0 + -4. Let h = 2/277 - -1102/831. Let n = -501/388 - -4/97. What is the biggest value in n, d, h?
h
Let i be (-4 + 2 - 1)*6/90. What is the biggest value in 1, i, -2/5?
1
Let c = 21 - 15. Let q = 4.6 + 0.9. Let l = c - q. What is the third biggest value in -1/2, -1, l?
-1
Let r be 20/140*(-3)/(-1). Let x be ((-2)/(-4))/((-7)/2). What is the second smallest value in 2, x, r?
r
Let s = -0.18 - -0.31. Let h = s - -8.87. Let t = -14 + h. Which is the second smallest value? (a) t (b) 1/5 (c) 0
c
Let y = 29.96 + -30.16. Which is the fourth smallest value? (a) 3/5 (b) -4 (c) -14 (d) y
a
Let o = 1479 - 1474. Which is the second smallest value? (a) -1 (b) -2/13 (c) -2/71 (d) o
b
Let h = 1327 - 1069. Which is the biggest value? (a) h (b) 4 (c) 3 (d) -1/6
a
Let a = 0.285 - 1.285. Let i = -1.4 + -1.6. What is the second biggest value in 0, -0.11, i, a?
-0.11
Let j = 0 + -0.48. Let v = 0.78 + j. Which is the smallest value? (a) v (b) 0.2 (c) -3.6
c
Let j = 102.7 + -108. Let t = j - -5. Let z = 3/157 + -169/628. What is the third smallest value in t, z, -4?
z
Let q = 80 - 83.39. Let m = q - -0.39. Which is the third biggest value? (a) 0.4 (b) 0.01 (c) m
c
Let x = 3 + -9. Let q = -0.0426 - -0.4426. What is the biggest value in q, -0.1, x, -0.2?
q
Let u = 527.5 - 528. What is the second biggest value in u, -4, 25?
u
Let s be (-960)/504 + (-2)/21. What is the second smallest value in s, 3, 0.5, -1/9?
-1/9
Let q = 52/141 + 14/47. Which is the third smallest value? (a) 11 (b) q (c) -1/2 (d) 5
d
Let f(l) = -23*l + 144. Let s be f(6). What is the fourth biggest value in 0.4, -0.14, -0.1, s?
-0.14
Let h = -838 + 802.7. Let m = -35 - h. What is the biggest value in 1, m, 2/5?
1
Let m be (-20)/(-6) + (-86)/(-129). Which is the biggest value? (a) -3/5 (b) -4 (c) m
c
Let z = -37 + 14. What is the biggest value in 0, z, 0.5, -4/3?
0.5
Let d = -3683/8 - -461. Let o = 49/104 - d. Let l = -2 + 5. Which is the second biggest value? (a) l (b) 3/4 (c) o
b
Let i = 21.948 - 22. Which is the third smallest value? (a) 1 (b) -1 (c) i
a
Let r be 0 - 177/(-27)*16. Let z = 1190/9 - r. Let t = 244/9 - z. What is the third smallest value in 3, t, -3?
3
Let f = 12273/25 - 491. Let g = 0.2 + 0.3. What is the biggest value in g, 0, f?
g
Let w be 70/6*(-22)/(-77) - 4. Which is the fourth biggest value? (a) -5 (b) 6 (c) -4 (d) w
a
Let b = 105.2 - 95. Let n = b - 8. What is the smallest value in 3, 0.2, n?
0.2
Let c be 0 + (-1)/((-5)/(-2)). Let a = -0.04 + 0.34. Let i = -5.0264 + 0.0264. What is the second biggest value in a, i, c?
c
Let i = -524 + 523. Let y = 4 - 3.8. What is the fourth smallest value in i, 3/2, 4, y?
4
Let t = -0.6 - -5.9. Let c = -0.3 + t. What is the third smallest value in 0.2, 0.5, c?
c
Let n = -0.156 - -13.356. Let i = n - 0.2. Let x = 390 + -393. What is the third smallest value in i, 0.1, x?
i
Let h = 1.016 + -0.016. What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
alculate the greatest common factor of w and g.
10
Suppose 0 = 4*n - p + 5*p - 24, -5*p = -15. What is the highest common divisor of n and 12?
3
Let m be 3/((-18)/4)*-6. Let d(u) = u**2 + 1. Let j be d(-2). Suppose m*k = n - j*n + 36, 17 = 2*n + 3*k. What is the highest common factor of 25 and n?
5
Let c be (-8)/(-12) - 50/(-6). Let k(t) be the first derivative of -5*t**2/2 + 5*t + 2. Let l be k(-8). Calculate the greatest common factor of l and c.
9
Let s = 151 + -114. Calculate the highest common factor of 185 and s.
37
Let y be (24/18)/((-4)/(-6)). Suppose y*o - 8 = 14. Calculate the highest common factor of 22 and o.
11
Let c = 109 - -67. Calculate the highest common factor of 22 and c.
22
Let m(b) = b**3 + 11*b**2 - 17*b - 12. Let s be m(-12). What is the greatest common factor of 120 and s?
24
Suppose 4*g + 3 = 5*g. Calculate the greatest common factor of g and 27.
3
Let s be (-25 - -41)/((-2)/(-7)). Calculate the highest common divisor of s and 42.
14
Let q be -3*(-6)/9 - -1. Let t be (8/(-4))/(q/(-33)). Calculate the highest common factor of t and 33.
11
Let q(z) = 188*z**3 - 3*z**2 + 3*z - 1. Let d be q(1). What is the highest common factor of 11 and d?
11
Suppose 0 = 4*n - n - 6. Let z be (-30)/2*n/(-5). Suppose -z*o = -o - 50. What is the highest common divisor of 2 and o?
2
Let r(s) = 33*s - 1. Let p be r(1). Calculate the highest common factor of p and 224.
32
Suppose -t - 3*c + 101 = 0, 2*t = 7*c - 2*c + 180. Calculate the greatest common factor of 19 and t.
19
Let a = -1 - -6. Calculate the greatest common divisor of a and 55.
5
Suppose 6*c - 2*c = 64. What is the greatest common factor of c and 152?
8
Let j be (-3 + -3)*88/(-6). What is the greatest common divisor of j and 8?
8
Suppose 4*l - 11 = 45. Let r = 634 + -379. Suppose 4*d = -12, -3*a = -a - d - r. Calculate the greatest common divisor of a and l.
14
Let r be 3/((10/(-2))/(-55)). Calculate the greatest common factor of 99 and r.
33
Suppose 12 = x - 1. What is the highest common divisor of 13 and x?
13
Let w be 7/(22*(-3)/24 + 3). What is the greatest common divisor of w and 28?
28
Suppose -22 = 2*x - 24. What is the highest common factor of x and 1?
1
Let r(u) = 10*u + 3 - 1 + 1 + 2. Let h be r(5). Calculate the highest common divisor of h and 11.
11
Let b be (3 + 3/(-2))*8. Calculate the highest common factor of 60 and b.
12
Let p be (30/25)/(1/5). Let y = p + -4. Suppose 0 = d - w - 17, y*d - 4*d + 24 = -4*w. What is the greatest common factor of 22 and d?
22
Let i be 1/(1 - 6/7). What is the greatest common factor of 63 and i?
7
Suppose -g = -2*x - 33, 4*x - g + 67 + 0 = 0. Let f be (-57)/(-2) + (-4)/8. Let l = x + f. What is the highest common factor of 1 and l?
1
Let b = -7 - -10. Suppose -19 - 149 = -b*f. Let o be 1*7*2/2. What is the greatest common factor of o and f?
7
Let s be (-2)/(-7) - 152/(-7). Suppose -k - s = -3*k. Calculate the highest common divisor of 11 and k.
11
Let x = 64 + -22. What is the highest common divisor of 6 and x?
6
Let k = -9 - -18. Let s be (-7)/(((-10)/(-18))/(-5)). Calculate the highest common factor of s and k.
9
Let y(u) = u**2 - 6*u - 2. Let v be y(7). Suppose 0 = -3*x + x. Suppose x*n - 3*n + 6 = 0. What is the greatest common factor of v and n?
1
Suppose 5*z - 278 = -78. Calculate the highest common divisor of 5 and z.
5
Suppose -4*t + 60 = -3*b - b, -5*b = 15. What is the highest common divisor of t and 4?
4
Suppose -n - 2*n + 195 = 0. Suppose 54 = 3*o - 3*a, 4*o + 3*a = 21 + 16. What is the highest common divisor of n and o?
13
Let v = 100 - 10. What is the greatest common divisor of v and 20?
10
Let q = 1 + 7. Suppose 0*x - 2*x = -18. Let b = x - q. Calculate the greatest common divisor of b and 4.
1
Let d(g) = g**2 - 3*g - 7. Let p be d(-7). Let k = 50 - 41. Calculate the highest common divisor of k and p.
9
Let f = -9 + 25. Let x be 3/(-3)*(-6)/3. Suppose 2*k - 84 = -5*p, p - 44 = -x*p + 2*k. Calculate the highest common factor of p and f.
16
Let u be (1 + -20)/(-2 - -1). Suppose -2*y + 93 = 17. What is the greatest common divisor of y and u?
19
Let g(t) = -t**2 + 7*t - 5. Let s be g(7). Let d(o) = -2*o - 4. Let y be d(s). Let i be 112/6 - (-6)/(-9). Calculate the greatest common divisor of i and y.
6
Let f(u) = 2*u**2 + 1. Let q be f(1). Let t = q + 6. Calculate the highest common factor of 45 and t.
9
Suppose 0 = -9*s + 17 + 10. What is the greatest common factor of s and 3?
3
Let p = 12 + -6. Suppose s - p*s = 5, s + 127 = g. Suppose -5*t = -33 - 37. What is the highest common factor of g and t?
14
Suppose 2*p + 8 = -2*d - 0, -27 = -2*p + 5*d. Let t be -2*p/(-2) + 3. What is the greatest common divisor of 32 and t?
4
Suppose 0*u + 4*u - 28 = 0. Let v(n) = n - 5. Let c be v(u). Calculate the highest common factor of c and 1.
1
Let z(o) = -o**3 + 8*o**2 - 7*o + 1. Let m be z(7). Let p(s) = -3*s + 1. Let l be p(-2). What is the greatest common divisor of m and l?
1
Let s(n) = -n**3 - 7*n**2 - 7*n - 2. Let l be s(-6). Suppose 0 = 4*j + l*o - 44, -2*o = 10 - 4. Calculate the highest common divisor of 7 and j.
7
Suppose -4*k = -56 - 32. Let s = k + -10. What is the greatest common divisor of s and 60?
12
Let h(u) be the third derivative of u**5/60 + u**4/24 - 2*u**2. Let g be (8/4)/(4/(-6)). Let b be h(g). Calculate the highest common factor of b and 12.
6
Let q(i) = 2*i**2 + 5*i + 9. Let j be q(-6). Let c be (-3)/(-6) + (-33)/(-2). What is the highest common divisor of j and c?
17
Let s(p) = 3*p - 2. Let r(y
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the hundreds digit of j?
2
Suppose -66 = -5*i + 104. Suppose f + 4*q - 1 = 0, q = 2*f - i + 5. What is the tens digit of f?
1
Let z(n) = 22*n**2 + 25*n - 8. Let q be z(-7). Let t = q + 28. What is the tens digit of t?
2
Let p = -33 - -33. Let j = 13 + -8. Suppose -o + 24 = -p*r + j*r, 0 = -5*o + 3*r + 8. What is the units digit of o?
4
Suppose -14*g - 2*k = -162718, 93*k - 94*k = 2. What is the thousands digit of g?
1
Suppose 3*l - 2 = -t - 6, 16 = -5*l + 3*t. Let i be l/(-11) + (-582)/(-66). Let b = i - -163. What is the tens digit of b?
7
Let z(a) = 2*a**3 - a**2 - 23*a + 17. Let f(v) = v**3 - v**2 - 12*v + 8. Let o = -26 + 32. Let w(m) = o*z(m) - 11*f(m). What is the units digit of w(-6)?
4
Let n = -89 + 98. Suppose -5*j = -n*j + 476. Let u = j - 67. What is the units digit of u?
2
Let d(g) be the first derivative of 17*g**2 + 136*g - 149. What is the hundreds digit of d(11)?
5
Suppose 89*z = 14*z + 26739 + 13011. Let u be 4/6 - (-1798)/(-6). Let w = z + u. What is the hundreds digit of w?
2
Let b(w) = w**2 + 50*w + 14 + 11*w - 3 - 9*w - 4*w. What is the tens digit of b(25)?
3
Let f be ((-2)/(-2))/(50334/(-4194) + 12). Let s = -398 - f. What is the units digit of s?
1
Suppose -54*b = -582220 - 894950. What is the units digit of b?
5
Suppose 0 = 5*n + 4*y - 60, 2*n + y - 24 = -3*y. Suppose -3*h + n + 24 = 0. What is the tens digit of (-2)/(h/(-18)) - (1 + -225)?
2
Let n = -120 - -125. Let d be (15/4)/(((-5)/4)/n). What is the units digit of (d/(-3) + -6)*237/(-1)?
7
Suppose 4724 = -10*n + 17794 + 8130. What is the thousands digit of n?
2
Let j = 24 + -46. Let p(y) = y**3 + 22*y**2 - 7*y + 34. Let u(c) = c**3 + 22*c**2 - 5*c + 33. Let r(w) = -3*p(w) + 4*u(w). What is the units digit of r(j)?
8
Let y(v) be the third derivative of -42*v**2 + 0*v + 7/20*v**5 + 0 + 5/6*v**3 + 1/24*v**4. What is the hundreds digit of y(3)?
1
Suppose -2654*b = -2653*b - 52244. What is the hundreds digit of b?
2
Suppose -v = -3*b - 11269, -20*v + 17*v + 33823 = -b. What is the tens digit of v?
7
Suppose -122 + 26 = 6*y. Let s be (2 + -4)/(y/6 + 2). Suppose -d = -3*d + s*w + 262, 5*d = -4*w + 655. What is the tens digit of d?
3
Let m be (4 - 345/(-9))*-3. Let r = m - -219. Suppose -4*b + r = 12. What is the tens digit of b?
2
What is the ten thousands digit of (-9*7/42*(-233270)/15)/1?
2
Let w(s) = 55*s**3 - 54*s**2 + 10*s - 33. What is the tens digit of w(7)?
5
Let v(n) = 35*n**2 - 40*n - 150. Let r(a) = 9*a**2 - 10*a - 37. Let y(i) = 9*r(i) - 2*v(i). What is the units digit of y(-8)?
1
What is the hundreds digit of (-3)/3 - (-3 + (-28)/(-7)*-366)?
4
Let g(m) = -26*m + 60 + 86 - 4*m + 11*m. What is the tens digit of g(-13)?
9
Suppose -5*x = -4*b - 36, 3*x = 4*b - 9*b - 8. Suppose -r + 4*r = -k + 52, -x = r. What is the tens digit of k?
6
Let j(v) be the first derivative of 23*v**2 - 29*v - 11. What is the tens digit of j(9)?
8
Let o(w) = -w**3 - 6*w**2 + w + 12. Let n be o(-6). Suppose 2 = 2*y + 3*x - 4*x, -3*x + n = 0. Let p(h) = 104*h - 17. What is the units digit of p(y)?
1
Let v(j) = 21*j - 32. Let k be v(-4). Let r = k + 161. What is the tens digit of r?
4
Let t = 7550 - -881. What is the units digit of t?
1
Let m = 79 - -56. Suppose -t + 223 = 4*g, 3*g = t - 123 - m. What is the tens digit of t?
4
Let a(u) = -u**2 + 14*u - 27. Let f be a(10). Let o be (12 + (2 - -2))/((-2)/f). What is the units digit of (-2 - -3) + 1 - (o + 3)?
3
Let d be (-52 - (0 + 1))*-2. Suppose -3*p = l - 2*p - 2, 5*l - 14 = -3*p. Suppose -d = l*j - 5*j. What is the units digit of j?
6
Suppose -456*o - 160*o + 3657192 = 0. What is the units digit of o?
7
Let p(o) = -1854*o - 148. What is the units digit of p(-5)?
2
Suppose 19*v - 9*v = 1980. Suppose -1302 = -4*x - v. What is the units digit of x?
6
Let r = 75216 - 41994. What is the units digit of r?
2
Let y(g) = 727*g**3 + 5*g - 5. Let n be y(1). Let h = n + 833. What is the hundreds digit of h?
5
Let n = -116 + 119. Suppose -n*s + 2350 = -2*r, 2*s + 5*r - 1571 = 2*r. What is the tens digit of s?
8
Suppose -776 - 352 = 4*n. Let l = 646 + n. Suppose 3*i - l = -i. What is the tens digit of i?
9
Let r be ((-16)/(-28))/(3156/(-3164) + 1). Let o = 536 - r. What is the hundreds digit of o?
3
Suppose 4*k + 26880 = 45*v - 40*v, -2*v + 10734 = 2*k. What is the hundreds digit of v?
3
Suppose -34 = -2*u - 10. Suppose i + 739 = 2*y, -1831 = 7*y - u*y - 3*i. What is the hundreds digit of y?
3
Let r be (10/7)/((-175)/(-490)). Suppose -5*p + 6975 = -5*d, -r*p - d - 2787 = -6*p. What is the units digit of p?
2
Suppose b + 4*k - 9 = -2*b, -6 = -2*b - 2*k. Suppose t = g + 38, t = -3*t - b*g + 173. Let q = -19 + t. What is the units
|
{
"pile_set_name": "DM Mathematics"
}
|
h**(-8))/h**4)) assuming h is positive.
h**(12007/525)
Simplify (i*i/i**(-3/7)*i**(-2/33)*(i/(i/((i/i**2)/i)*i))**(-32))**(-22) assuming i is positive.
i**(-45446/21)
Simplify m**(-43)*m**(-16)*m*(m**(-7/5))**15 assuming m is positive.
m**(-79)
Simplify (j**(-4)*j**(3/4)*j**2*j*(j*j**0)/j*j)/((j*j**(1/4))/j**4*((j/(j*j/((j/j**0)/j)))/j)**(-3/17)) assuming j is positive.
j**(107/34)
Simplify ((((o**(1/4)/o)**12)**47)**(-19))**37 assuming o is positive.
o**297369
Simplify ((h/(h*h**(-4/3)))/h*h/(h**5/h)*((h/h**(-4))/h)/h**(4/7))/((h/h**(2/3))**(14/11)*(h/h**(1/2))**(2/123)) assuming h is positive.
h**(3121/9471)
Simplify ((o**(-2/3)*o)**(-3/20)*(o*o**(2/7)*o*o)/(o**(-2/5)/o))/(o**0/(o*o*o/o**(-5))*(o**6*o)/(o/o**(-2/5))) assuming o is positive.
o**(197/28)
Simplify (f/(f*f/f**(3/4)*f))/f*f*f/((f*f**(-4/3))/f)*f*f**(6/7)/f*f**(-5)*((f**0/f)/f)/(f*f**(1/2))*(f**1*f)**33 assuming f is positive.
f**(4993/84)
Simplify ((i*i**(2/7)*i*i*i/i**(-1/4))/(((i**6*i)/i)/i**(1/4)))/((i/((i/i**1*i)/i))**14*(i**(-2/13)/i*i)/(i/(i*i**0*i))) assuming i is positive.
i**(-2923/182)
Simplify (o**(-2/7)*o**(-4/11))**(2/7)*o*o**(-3)*o*o**5*o*o*o*((o/(o*o*o**(-2/5)/o))/o)/(o**(-1/4)*o) assuming o is positive.
o**(58907/10780)
Simplify ((b/((b**(-8)*b*b)/b))/(b/(b**(-9)*b)))**(-38)*(b*b*b**(1/4)*(b*b*b*b/((b/(b*b**(-5/3)))/b))/b)**(5/2) assuming b is positive.
b**(1187/24)
Simplify ((w*w/w**23*w)**(-2/59)*w*(w/w**(21/2)*w)/w*w**(-20)*w)**(-19/5) assuming w is positive.
w**(12027/118)
Simplify ((a**(-1)/a*a)**(-17/2)*a**3*a*a/(((a*a**(1/2))/a*a)/a))/((a**(2/5))**(-2/7)*a**0/a*a**1/a*a) assuming a is positive.
a**(459/35)
Simplify ((((t/(t/(t/(t**(-14)*t))))/t)/t)/(t/(((t*(t*(t/(t*t*t*t**14))/t)/t)/t)/t)*t*t)*(t/(t*t**(-3)*t*t*t*t))**(-3/4))**(7/4) assuming t is positive.
t**(-231/16)
Simplify (z**20)**(-1/66)/(z*z**(9/5)*z*(z/(z*z**(-4/17))*z)/z) assuming z is positive.
z**(-12169/2805)
Simplify ((z/(z*z**(-6)))/(z*z/(z/(z**(-2/25)/z)*z)))**(-24)/((z/(z*z*z*z*z**(1/2)))**(-36)/(z**7*z*z**(-6))) assuming z is positive.
z**(-7348/25)
Simplify ((h**(-2/9))**39*h**(-23)/h**(-11/4))**26 assuming h is positive.
h**(-4511/6)
Simplify ((t**1/t)**26/(t**(-3/4)/t**(-3/11)))**(-25) assuming t is positive.
t**(-525/44)
Simplify ((k**(-2/5)*k)**0/(k**(-2))**19)/((k/(k*k**(-8)))/(k**(-2/13)/k)*(k*k*k*k**1*k*k)**45) assuming k is positive.
k**(-3135/13)
Simplify (u*u/(u*u*u**(-9)*u))**(6/37)*u/((u*u**7)/u)*u**(-16) assuming u is positive.
u**(-766/37)
Simplify (f**(-6)/(f*f**(1/3)))**38*((f*f**(-1/7))/(f*(f**5*f)/f*f))**(-5/8) assuming f is positive.
f**(-46171/168)
Simplify s*s**(1/5)*s/(s*s/(s*s*s**(-1/3)*s)*s)*s**7/(s/(s*s/s**7*s*s*s))*(s*s**(3/2)*s*s*s*s**(-1/3))/(s/(s*s**(-1/4))*s**8*s) assuming s is positive.
s**(107/60)
Simplify ((p**(2/3)/p)/p)**(2/101)/(p*p/p**(-8)*p/(p/((p**(-2/25)/p)/p*p)))*(p**(-2)/p)/((p/(p**(-1/3)*p))/p)*p**(6/11)/p**8 assuming p is positive.
p**(-1561034/83325)
Simplify (((a*a/(a*a/a**(5/2)))/a*a*a**(-3/11)/a)/((a**19*a)/a**(1/7)))**(6/11) assuming a is positive.
a**(-8607/847)
Simplify ((p**(2/5)*p**(3/5))/(((p*p*p*p**7*p)/p)/(p*p/(p/(p/(p*(p**(3/2)*p*p)/p))*p))))/((p**3*p**(-1/6))/((p**2/p)/(p/(p*p**7)))) assuming p is positive.
p**(-19/3)
Simplify (((y*y**(1/7))/y*y)/(y*(y/y**(-4))/y))/(y**(-2/3)*y**(-1/4))*(((y*y*y*y**(3/4)*y*y)/y)/(y**(-1)*y))/(y**(1/4))**(1/33) assuming y is positive.
y**(555/308)
Simplify (((p/(((p*(p**(3/5)*p)/p)/p)/p))/p)/(p**(2/11)/p*p)*(p**1)**(-31))/(((p*p/(p*p*p**(-7/2)*p*p))/p)/(p**7*p*p))**(-3/2) assuming p is positive.
p**(-9577/220)
Simplify (((z*z*(z*z**(-15)*z)/z)/z*(z*z/(z*z/(z**(-38)*z)))/z*z)/((z/(z**(1/13)/z))/(z/(((z**(2/11)*z*z)/z)/z))))**(-20) assuming z is positive.
z**(146160/143)
Simplify (v*(v**19/v)/v*v*v)/((v/(v/(v*v*v**2*v*v)*v))/v)*(v**(-23)*v)**6 assuming v is positive.
v**(-116)
Simplify (q/(q*q**(6/5))*q**2)/(q**2)**(5/6)*(q/q**2)**(-35)/(q**0)**(-2/77) assuming q is positive.
q**(512/15)
Simplify (b/(b/b**3)*b*b**(-8)*(((b/(b**(3/7)*b))/b)/b)/(b*b*(b/b**(9/5)*b*b)/b))**49 assuming b is positive.
b**(-2114/5)
Simplify ((g**(-7))**(-31)/(g**(-9))**(9/5))**(-4/5) assuming g is positive.
g**(-4664/25)
Simplify
|
{
"pile_set_name": "DM Mathematics"
}
|
, s.
-4/7, -1/5, s
Suppose 93*m - 47 = -326. Let v be ((-2)/(-1))/((-1)/(-2)). Sort 0, m, v, 1.
m, 0, 1, v
Let i = -29 - -49. Let b be -3*5/(-6)*(-16)/i. Put 6, b, -5 in descending order.
6, b, -5
Let r = -31/2 - -65/4. Put 2/25, 0.3, r in decreasing order.
r, 0.3, 2/25
Suppose -k - 3*k = -8. Let x(i) = -i - 9. Let d be x(-8). Let s(q) = -3*q + 12. Let m be s(5). Sort k, m, d in descending order.
k, d, m
Let w(u) = -u**2 - 5*u + 5. Let k be w(-5). Suppose -2 = 5*h + k*s - 7, h = -4*s + 16. Let z be h/10 - 21/(-15). Sort z, 2, -1 in descending order.
2, z, -1
Let g be (-4)/16 + (-3)/4. Suppose 2 = 2*z - 0*z + b, 2 = 3*z + 2*b. Suppose 0 = 2*s + z*s + 8. Put s, g, 2 in increasing order.
s, g, 2
Let p = -1 - 0.8. Let m = p + 0.4. Let i = 4.4 + m. Sort -0.3, i, 2/5 in decreasing order.
i, 2/5, -0.3
Let r(z) = -3*z**2 - 21*z + 5. Let u be r(-7). Sort 6, u, -5, 1 in increasing order.
-5, 1, u, 6
Let y be 1/(-5)*(-19 - -9)*1. Sort -14, 5, y.
-14, y, 5
Let k(x) = 5*x + 147. Let o be k(-28). Put 1, o, -1, -3 in decreasing order.
o, 1, -1, -3
Suppose 15 = 6*r - r, -5*c + r = 18. Sort c, 54, 1 in descending order.
54, 1, c
Let x be (-76)/57*(-6)/(-68). Put 2/11, x, 0.2 in descending order.
0.2, 2/11, x
Suppose -j - 4*v = -21, 5*j + 5*v - 29 = 4*v. Suppose -18 = -3*d - d + k, 4*k + 4 = -d. Sort d, j, 0 in decreasing order.
j, d, 0
Let c = -163/28 + 25/4. Let j = -0.18 + -2.82. Sort 2/5, j, c.
j, 2/5, c
Let g = 743 + -741. Sort 0, -25, g in descending order.
g, 0, -25
Let u = 15 - -15. Suppose 6*h = u + 30. Let y be 10/(-4)*(-16)/h. Sort -3, y, -8 in decreasing order.
y, -3, -8
Let a = -97 - -96.9. Put -15, 6, a in ascending order.
-15, a, 6
Let l(d) = -9*d + 484. Let v be l(54). Put v, 31, 2, -1 in ascending order.
v, -1, 2, 31
Let w(u) be the first derivative of u**2/2 + 7*u - 3. Let m be w(-3). Suppose -39 + 47 = -4*i. Sort m, i, 0.
i, 0, m
Let l = -13 + -3. Let c = l - -13. Sort c, 3, -2/7.
c, -2/7, 3
Let h = 0.79 + -20.29. Let t = 19 + -38. Let q = t - h. Sort q, -0.5, -2.
-2, -0.5, q
Let w be (-1)/(-5) - (-2233)/(-165). Let k = w - -14. Let b(l) = 2*l - 1. Let r be b(-1). Sort k, r, 3/4.
r, k, 3/4
Let w be 2/4*8/(-28). Let p = -1.8 + 1.46. Let x = 0.14 + p. Sort w, 1/5, x in descending order.
1/5, w, x
Suppose -5 + 72 = 2*d + 5*p, -46 = -2*d + 2*p. Let x be 39/d - (-1)/2. Suppose x*y + 5*l + 6 = 2, 0 = -2*y + 4*l + 14. Sort y, -6, 5 in ascending order.
-6, y, 5
Suppose -3 + 4 = x. Let q be (-8)/(-52) - 37/(-13). Suppose 4 = -0*s - 3*s + 5*p, -q*s - 8 = -p. Put s, x, -4 in descending order.
x, s, -4
Let u(i) = -i**2 - 11*i - 6. Let y be u(-10). Let r be (-8)/2*2/y. Let f = -143 - -1285/9. Sort 5, r, f in ascending order.
r, f, 5
Suppose 3*q - 2 = 4. Let f = 112 + -106.1. Let c = -6.3 + f. Sort c, -2, q in increasing order.
-2, c, q
Suppose 4*t + i = -5, -2*t = 2*t - i + 11. Suppose 3*r = -2*s + 4*s, -2*s + 0*s = 0. Sort t, r, -1, -4 in decreasing order.
r, -1, t, -4
Suppose m = -0 - 3. Let t = 0.15061 + 0.14939. Put m, t, -0.2 in decreasing order.
t, -0.2, m
Let p be (280/(-84))/(4/(-6)). Suppose p*h + 2 = y - 6, 2*y - 3*h = 9. Put 1, y, 4, -7 in decreasing order.
4, y, 1, -7
Let b = 113 - 111. Suppose -4*h - 2*c + 7*c = 13, -5*h + 3*c = 26. Sort b, h, 1 in decreasing order.
b, 1, h
Suppose -40*q + 6 = -43*q. Let b = 15 - 10. Sort b, 1, q in increasing order.
q, 1, b
Let i = 2300/7 + -329. Let s be ((-1)/(-10))/(6/(-15)). Sort -2, s, 1/11, i.
-2, i, s, 1/11
Suppose 5*k - 42*x + 43*x = -24, -5*k + 3*x = 8. Sort k, 74, -1.
k, -1, 74
Let p = -202 + 136. Let l = -62 - p. Put l, 2, -3, -4 in decreasing order.
l, 2, -3, -4
Let d = 0.0999 - 0.1999. Suppose 5*r - z + 12 - 28 = 0, -4*r + 3*z + 4 = 0. Put -0.4, -5, r, d in descending order.
r, d, -0.4, -5
Suppose 13 = -3*t - d, 4*t = t - 2*d - 14. Let y = 0.026 + -6.026. Put 4, -0.5, t, y in descending order.
4, -0.5, t, y
Suppose -3 = 2*k + 15. Let c = k + 5. Let t(z) = -z - 20. Let n be t(-15). Sort c, 3, n in ascending order.
n, c, 3
Suppose -z + 2 = -1. Suppose -4*s = -5*q + 25, 0*s - 3*s - 18 = -z*q. Suppose -36 = 4*x - 4*n, 4*n = -4*x + 1 + 3. Put x, s, -2 in decreasing order.
-2, x, s
Let m be ((-85)/425)/((-3)/75). Put -1, 3, m, 50 in decreasing order.
50
|
{
"pile_set_name": "DM Mathematics"
}
|
inder when x is divided by 16.
10
Suppose 6*o - 278 = o + n, -3*o + 3*n = -162. Suppose -32 = 4*m - o. Suppose 108 = 5*b - l, 2*b + l - 68 = -b. Calculate the remainder when b is divided by m.
4
Suppose -2*l = -51*w + 56*w - 517, -4 = -4*w. Calculate the remainder when l is divided by 68.
52
Suppose -105 = -5*d - a, d + 4*a = 2*a + 30. Suppose 4*t = -4*m - 5 - 3, 4*t = -m + 10. Let j = d + m. Calculate the remainder when 67 is divided by j.
11
Suppose -3*l + 142 = -629. What is the remainder when l is divided by 43?
42
Suppose 15 - 9 = 3*j. Suppose -f + j*x = 4*x + 5, -5*f - 4 = 3*x. Calculate the remainder when 1 is divided by f.
0
Let l(p) = 12*p**2 + 7*p + 13. What is the remainder when l(-4) is divided by 61?
55
Let v(m) = -3*m**2 - 3 + 3*m + 6*m - 2*m + 14*m**3 - 3*m. What is the remainder when v(1) is divided by 4?
0
Suppose 2*b - i = 323, -5*b + i = -10*b + 790. Let l = b + -87. What is the remainder when l is divided by 15?
12
Let a(m) = m**3 + m**2 + m - 5. Let o be a(0). Let l = o - -7. Let p(f) = -f. What is the remainder when p(-2) is divided by l?
0
What is the remainder when (2146/(-259))/((-2)/14) is divided by 20?
18
Let h be (15/(-10))/((-6)/8). Suppose o = -h*o + 168. What is the remainder when o is divided by 2/(-12) - (-7935)/414?
18
Suppose -62*x = 22*x - 5964. Calculate the remainder when 268 is divided by x.
55
Suppose -31*o = 28*o - 15812. What is the remainder when o is divided by 3?
1
Let j(v) = -v**3 - 11*v**2 + 11*v - 12. Let q be j(-12). Suppose q = l + 1 - 5. Suppose m = l*m - 66. What is the remainder when m is divided by 8?
6
What is the remainder when 1 - ((-16)/24 + 10394/(-6)) is divided by 28?
26
Let z(c) be the first derivative of 5*c**3/3 - c**2 - 2*c - 11. What is the remainder when 68 is divided by z(2)?
12
Suppose 561*h - 140 = 556*h. Calculate the remainder when h is divided by 27.
1
Let k(d) = d**2 + 7*d + 9. Let o be k(-4). Calculate the remainder when 83 is divided by (11/o)/((-1)/12) - 2.
41
Suppose 149*r - 151*r = -288. What is the remainder when r is divided by 40?
24
Let u = 5 + 7. What is the remainder when 40/u*30/4 is divided by (8 - -1)*(0 - -1)?
7
Let v(q) = 7*q - 145. What is the remainder when 99 is divided by v(25)?
9
Suppose -4*t - 259*u = -257*u - 1158, 0 = -t - 4*u + 286. What is the remainder when 297 is divided by t?
7
Let g be (3 + (-3)/1)/(-1). Suppose -3*y - n + 268 = g, 2*n = -2*n + 16. Suppose 7*c + y = 11*c. Calculate the remainder when 41 is divided by c.
19
Let s(t) = -28*t + 175. Suppose 0 = l + l - 38. Calculate the remainder when l is divided by s(6).
5
Let k = -36 + 78. What is the remainder when 83 is divided by k?
41
Let i = 248 - 164. What is the remainder when i is divided by 23?
15
What is the remainder when (-2*(-1773)/24)/((-15)/(-40)) is divided by 33?
31
Let x = 99 + -91. Suppose -x*u = -5*u - 114. Calculate the remainder when 71 is divided by u.
33
Let k = 1294 - 1112. What is the remainder when k is divided by 11?
6
Suppose -2*v + 4*x = -28, -148*v + 2*x + 38 = -146*v. Let d = 102 + -57. What is the remainder when d is divided by v?
21
Suppose -8*m + s + 1517 = 0, -73*m + 68*m + 941 = -3*s. Let k(u) = 7*u**2 + u + 4. Calculate the remainder when m is divided by k(-3).
62
Let v = -8 + 9. Let b = v + -21. Calculate the remainder when 38 is divided by b*(3/6)/(-1).
8
Let r be (-3 - (-14)/4)*0. Suppose 3*g = 7 + 5. What is the remainder when 14 + (-2 - -1 - r) is divided by g?
1
Let z(m) = 6*m**2 - m - 2. Let t be z(-1). Suppose -336 = -t*i - 66. Calculate the remainder when (-1*1)/((-2)/i) is divided by 10.
7
Let r be 235/45 - 4/18. Suppose 35 = -r*d + 10. Calculate the remainder when (-28)/70 + (-182)/d is divided by 13.
10
Suppose -8*d = -10*d + 116. What is the remainder when 114 is divided by d?
56
Suppose 5*u - 15 = 5*v, v + 9 = 5*u + 2*v. Suppose 128 = u*r - 26. Calculate the remainder when r is divided by 13.
12
Suppose 48 = 4*l - 8. Let a = 36 - 33. Suppose -a*f = -98 - 61. What is the remainder when f is divided by l?
11
Suppose -5*d - 3*g + 253 = 0, 0 = -3*d - 5*g + 64 + 91. What is the remainder when 77 is divided by 30 + ((-40)/d)/(2/10)?
25
Let g(f) = 138*f**2 - 20*f + 2. Calculate the remainder when g(-1) is divided by 2.
0
Let r be 7*-9*12/126. Let a(d) = -2 - 3*d**2 + 0*d**2 - 7*d + 2*d**2. Calculate the remainder when a(r) is divided by 4.
0
Let b(c) = -c**2 + 9*c - 8. Let f be b(7). Suppose 0*m - f = -m. Calculate the remainder when 38 is divided by (156/18)/(m/9).
12
Suppose -8*u + 163 = -1029. What is the remainder when u is divided by 51?
47
Let u be 3/((-12)/16) - -9. Suppose -2*d = 5*l - 3*d - 121, u*d - 95 = -3*l. Suppose 7*j = 6*j + l. What is the remainder when j is divided by 9?
7
Let t = -8 - -17. Suppose 0 = -t*f + 3*f + 30. What is the remainder when 24 is divided by f?
4
Suppose 2*z = -5*p + p + 26, 4*z = 4. Let n = 48 - p. What is the remainder when 166 is divided by n?
40
Suppose -2*k + 262 + 122 = -w, 384 = 2*k - 4*w. Calculate the remainder when k is divided by 62.
6
What is the remainder when 375 is divided by (-9)/27 - (-224)/24?
6
Let f(g) = 24*g + 17. Calculate the remainder when 169 is divided by f(0).
16
Suppose 3*p + 8*j - 39 = 4*j, p - 13 = -2*j. What is the remainder when 23 is divided by p?
10
Let r = -46 + 46. What is the remainder when 236 - 2 - (-3 + r - -7) is divided by 33?
|
{
"pile_set_name": "DM Mathematics"
}
|
t x(n) = -2*a(n) - f(n). What is the derivative of x(q) wrt q?
-12*q**2 + 334*q
Suppose 3*g = j + 2*g - 65, j - 59 = -5*g. Differentiate 47*p**4 + j*p**4 - 10*p**4 - 61 - 18*p**4 wrt p.
332*p**3
Suppose -4*t = 5*q + 3 - 5, 4*t + 8 = 0. Let l be q/(-3) - 32/(-12). Find the second derivative of -7*c - c**2 - 5*c**2 + 14*c**4 + 6*c**l wrt c.
168*c**2
Let l be 4/3 - 136/(-24). Suppose m - 16 = -l*m. What is the second derivative of -8*y**2 + 11*y**m - 15*y + 11*y**2 wrt y?
28
Suppose -573*z + 578*z - 90 = 0. What is the third derivative of 72*u**2 + 57*u**2 - z*u**3 + 10*u**2 wrt u?
-108
Let c(g) = -101*g - 1. Let l be c(-1). Let x be 243 + -244 - (1 + -7*1). What is the third derivative of -16*j**x - l*j**2 + 93*j**2 - 20*j**5 wrt j?
-2160*j**2
Suppose -9*o = -4*o - 145. What is the first derivative of -111 + 23 + 40*g**4 + 13*g**4 + o*g**4 wrt g?
328*g**3
Let r be (2/18)/(1/6)*-69. Let c = 51 + r. What is the third derivative of 18*n**2 - 8*n**3 + 7*n**3 - c*n**3 - 12*n**3 wrt n?
-108
Let a(p) be the first derivative of -179*p**4/2 + 281*p**2 + 281. Find the second derivative of a(o) wrt o.
-2148*o
Suppose -3*k = -15*k + 1848. Find the third derivative of -k*i**3 + 94*i**2 + 40*i**3 + 112*i**2 wrt i.
-684
Let i(m) = -9*m**3 + 454*m**2 + 2026*m + 22. Let h(f) = -2*f**3 + 91*f**2 + 406*f + 4. Let s(p) = 11*h(p) - 2*i(p). What is the second derivative of s(y) wrt y?
-24*y + 186
Suppose 11*o + 0*o - 22 = 0. What is the derivative of -2*b + 3*b - 4*b - o - 97 wrt b?
-3
Let w be ((-12)/(-15))/(-1*(-3)/225). Differentiate w*i - 7*i + 15 - 8 wrt i.
53
Let r(s) be the second derivative of s**4/12 + s**3/6 - s**2 - 15*s. Let m be r(2). Differentiate -u**3 - 3*u**3 + 7*u**3 + 13 + m*u**3 wrt u.
21*u**2
Let m = -4 + 6. What is the second derivative of 756*h + 6*h**m - 710*h - 4*h**2 + 1 wrt h?
4
Let o be 6/4*(-98)/21. Let i be -8 - o - (1 + -22). What is the first derivative of 26 - 11*h**3 + i*h**3 - 12*h**3 - 28*h**3 wrt h?
-93*h**2
Differentiate 23*r**3 - 2859 - 4*r**2 + 2*r**2 + 2611 with respect to r.
69*r**2 - 4*r
Let g(j) be the third derivative of 0*j**5 + 0*j + 0 + 0*j**4 - 8/3*j**3 - 67/120*j**6 + 25*j**2. Differentiate g(l) with respect to l.
-201*l**2
Let q(g) be the second derivative of -145/12*g**4 + 0*g**3 - g - 279/2*g**2 - 46. What is the derivative of q(h) wrt h?
-290*h
Find the third derivative of 118*t**5 + 1414*t**2 + 190*t**2 - 2226*t**2 - 5*t**6 - 3131*t**2 wrt t.
-600*t**3 + 7080*t**2
Find the third derivative of 1466*x**2 - 1350*x**2 + 12*x**6 + 118 - 121 + 21*x**4 + 2*x**3 wrt x.
1440*x**3 + 504*x + 12
Differentiate 549 + 2036 + 157 - x - 462*x**4 - 29*x**4 + 256 wrt x.
-1964*x**3 - 1
Let x(h) = -30762*h + 15327. Let z(w) = 2122*w - 1057. Let q(n) = 5*x(n) + 72*z(n). Differentiate q(s) with respect to s.
-1026
Let w(j) = -3432*j**3 - 4*j**2 + 4*j. Let v(r) = 6865*r**3 + 9*r**2 - 10*r. Let p(q) = -4*v(q) - 9*w(q). Find the second derivative of p(m) wrt m.
20568*m
Let z(q) = q**3 - 19*q**2 + 56*q - 21. Let r be z(16). Find the third derivative of 14*v + 21*v**2 - 203*v**3 - 15*v - 2 - r*v**3 + v wrt v.
-1860
Suppose -30*s + 31*s - 3 = 0. What is the third derivative of -j**2 - 477 + 420 + s*j**3 - j**3 - 16*j**6 wrt j?
-1920*j**3 + 12
What is the first derivative of 1628 + 222 + 1237 + 982 + 6094*s**3 - 1101 wrt s?
18282*s**2
Suppose -35*t = -44*t + 342. What is the second derivative of -88*v**2 - t*v**2 - 8*v - 47*v - 1 - 19*v**2 wrt v?
-290
Let o(x) be the first derivative of 0*x**4 + 0*x**2 - 222/5*x**5 + 0*x**3 - 172*x - 25. What is the first derivative of o(d) wrt d?
-888*d**3
Let j(s) be the second derivative of -77/12*s**4 - 91*s + 0*s**3 + 0 + 24/5*s**5 + 0*s**2. Find the third derivative of j(q) wrt q.
576
Let x(f) be the third derivative of f**7/210 - 383*f**6/120 + f**4/6 - 22*f**3/3 + 2*f**2 - 379. What is the second derivative of x(b) wrt b?
12*b**2 - 2298*b
Suppose 0 = 2*b + 4*f + 29 - 35, -5*b + 3*f = -28. What is the third derivative of -10*v**4 + 3*v**2 + 16*v**4 - b*v**4 + 141*v**3 wrt v?
24*v + 846
Let m(b) be the first derivative of -b**6/2 - 23*b**5/5 + b**4/2 - 5*b**3/3 - b**2/2 - 62*b + 4294. Find the third derivative of m(r) wrt r.
-180*r**2 - 552*r + 12
Let x(b) be the first derivative of 1/2*b**2 - 1/6*b**6 - 8/3*b**3 + 18 + 0*b**4 + 75*b + 0*b**5. Find the second derivative of x(c) wrt c.
-20*c**3 - 16
Let p be ((3 - 51)/(-8))/(-5 + 7). Let g(q) be the third derivative of 6*q**2 - 2
|
{
"pile_set_name": "DM Mathematics"
}
|
e: 3, s: 1, l: 2}. Give prob of picking 1 k, 1 e, and 2 l.
2/55
Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {u: 1, i: 2, s: 2, b: 2, g: 1, a: 1}.
1/18
Two letters picked without replacement from {p: 5, c: 1, k: 1, a: 2, d: 5, r: 1}. Give prob of picking 1 p and 1 k.
1/21
Calculate prob of picking 1 u and 1 r when two letters picked without replacement from rau.
1/3
What is prob of picking 1 u and 2 x when three letters picked without replacement from {u: 11, x: 2, v: 1}?
11/364
Two letters picked without replacement from beojlueubeol. What is prob of picking 2 l?
1/66
Four letters picked without replacement from jvjjvvjvgg. Give prob of picking 4 v.
1/210
Three letters picked without replacement from vwwvzvvvvvwwvwvvwv. Give prob of picking 1 z and 2 v.
55/816
Four letters picked without replacement from {n: 1, d: 7, l: 1, i: 1, v: 2, k: 2}. Give prob of picking 1 l, 1 k, 1 d, and 1 i.
2/143
Three letters picked without replacement from ummxfmfkumuxff. What is prob of picking 3 u?
1/364
Calculate prob of picking 1 b and 1 v when two letters picked without replacement from tqvalqvlblv.
3/55
Three letters picked without replacement from cnng. What is prob of picking 2 g and 1 c?
0
Three letters picked without replacement from ssosoorxoosrrxoorx. Give prob of picking 2 o and 1 x.
21/272
Two letters picked without replacement from {i: 1, o: 2, w: 1, c: 1}. Give prob of picking 1 c and 1 w.
1/10
Calculate prob of picking 1 y and 1 k when two letters picked without replacement from {t: 15, y: 3, k: 2}.
3/95
Calculate prob of picking 2 p when two letters picked without replacement from {c: 4, a: 1, p: 2, z: 1, n: 2}.
1/45
What is prob of picking 1 t and 2 r when three letters picked without replacement from {b: 3, h: 4, g: 4, t: 1, r: 4}?
3/280
Four letters picked without replacement from bebboebmxbbwxbbbxbw. Give prob of picking 1 m, 1 e, and 2 w.
1/1938
What is prob of picking 2 c and 2 i when four letters picked without replacement from xcxcxcixtcicc?
3/143
Three letters picked without replacement from nzunz. What is prob of picking 1 u and 2 z?
1/10
Three letters picked without replacement from {h: 2, t: 2, n: 2, m: 2, j: 5}. Give prob of picking 1 m, 1 j, and 1 h.
10/143
Calculate prob of picking 1 u and 1 p when two letters picked without replacement from uuuuuuupupuuu.
11/39
Two letters picked without replacement from hthm. What is prob of picking 2 h?
1/6
Four letters picked without replacement from {y: 3, m: 15}. What is prob of picking 2 m and 2 y?
7/68
Calculate prob of picking 2 n when two letters picked without replacement from mkinommmmkunn.
1/26
Two letters picked without replacement from qqqgp. What is prob of picking 2 q?
3/10
Calculate prob of picking 1 m, 1 d, and 1 u when three letters picked without replacement from {d: 3, m: 1, w: 5, j: 1, h: 8, u: 2}.
1/190
What is prob of picking 1 w, 2 y, and 1 d when four letters picked without replacement from wywydn?
2/15
Two letters picked without replacement from {d: 1, n: 2, u: 4, l: 2}. What is prob of picking 2 n?
1/36
Two letters picked without replacement from jfejewfjwefjefjh. What is prob of picking 2 j?
1/12
What is prob of picking 1 q, 1 e, and 1 w when three letters picked without replacement from {k: 2, w: 4, e: 1, q: 9}?
9/140
Calculate prob of picking 1 u and 2 g when three letters picked without replacement from gkuxugguugdu.
3/22
Three letters picked without replacement from {p: 16, y: 3, o: 1}. What is prob of picking 3 p?
28/57
Calculate prob of picking 2 q when two letters picked without replacement from oqqqooqoqqooooqqqqoq.
11/38
What is prob of picking 1 m, 2 b, and 1 r when four letters picked without replacement from {r: 4, m: 5, b: 3}?
4/33
What is prob of picking 1 p, 1 j, and 1 i when three letters picked without replacement from {i: 3, j: 4, p: 2}?
2/7
Two letters picked without replacement from vnnn. What is prob of picking 1 n and 1 v?
1/2
Calculate prob of picking 2 g when two letters picked without replacement from uguupguppppuu.
1/78
Two letters picked without replacement from {x: 1, r: 1, n: 1}. Give prob of picking 1 n and 1 r.
1/3
Three letters picked without replacement from ffffffffoffffoo. Give prob of picking 2 o and 1 f.
36/455
Two letters picked without replacement from {v: 2, s: 4, k: 2, e: 6, w: 1, t: 4}. Give prob of picking 1 t and 1 e.
8/57
Calculate prob of picking 1 w and 2 a when three letters picked without replacement from apqpeanww.
1/42
What is prob of picking 1 h and 3 u when four letters picked without replacement from uuuuuhuhuhuuhuuuuu?
364/765
Calculate prob of picking 3 f when three letters picked without replacement from {p: 2, f: 3}.
1/10
Calculate prob of picking 1 c and 3 m when four letters picked without replacement from zkcmrcky.
0
Calculate prob of picking 2 e when two letters picked without replacement from ooeekkokknknokenwooc.
3/190
Calculate prob of picking 2 y and 1 l when three letters picked without replacement from lylysysssly.
6/55
Calculate prob of picking 2 l when two letters picked without replacement from llwlwwllwlllll.
45/91
Two letters picked without replacement from {l: 3, i: 13}. What is prob of picking 2 l?
1/40
What is prob of picking 2 y when two letters picked without replacement from nnnnnnnnnnyy?
1/66
What is prob of picking 1 j and 1 r when two letters picked without replacement from ppipbpjpri?
1/45
What is prob of picking 1 a and 2 o when three letters picked without replacement from {o: 13, a: 2, n: 3}?
13/68
Two letters picked without replacement from dedddedtgddtgd. What is prob of picking 1 e and 1 t?
4/91
Calculate prob of picking 1 q and 1 s when two letters picked without replacement from sqsssqqsssqqsqsqsss.
28/57
Three letters picked without replacement from {u: 3, g: 2}. What is prob of picking 2 u and 1 g?
3/5
Three letters picked without replacement from {b: 3, a: 5, d: 4}. What is prob of picking 3 b?
1/220
What is prob of picking 3 o when three letters picked without replacement from {o: 9}?
1
Four letters picked without replacement from wcwwcwmwwwsccum. Give prob of picking 1 c, 1 m, and 2 w.
8/65
Three letters picked without replacement from {q: 2, w: 3}. What is prob of picking 3 w?
1/10
What is prob of picking 1 y and 1 k when two letters picked without replacement from zzkkykkkyazyezy?
4/21
Two letters picked without replacement from {h: 10, a: 5, l: 4}. What is prob of picking 1 h and 1 a?
50/171
Two letters picked without replacement from bbbdbdbdbdddbddd. Give prob of picking 1 d and 1 b.
21/40
Calculate prob of picking 1 h, 1 z, and 2 d when four letters picked without replacement from {h: 4, a: 7, d: 6, e: 1, z: 2}.
8/
|
{
"pile_set_name": "DM Mathematics"
}
|
True
Let f(v) = -2881*v - 180. Is f(-23) a prime number?
True
Let t be (0 - (-5 - -2)) + -3. Let z(y) = -y**3 + y**2 + y + 95. Let c be z(t). Suppose -c = 5*u - 10*u. Is u prime?
True
Let q = 24909 - 12862. Is q a composite number?
True
Suppose -5*o + 25 = -2*r, 0 = 4*r + 4*o + 54 + 38. Let g = -25 - r. Is (-1047)/(-18) + g/30 a composite number?
True
Suppose 0*h + 2*h - 2*t - 1752 = 0, 5*t = 2*h - 1752. Suppose 5*b = q - 447, 0 = -5*q - 5*b - h + 3051. Is q prime?
False
Is ((-3)/(-9))/(3/69507) a composite number?
False
Let o(p) = p**3 + 3*p**2 - 5*p - 2. Let m be o(4). Suppose 20*u = 1730 - 350. Let l = m + u. Is l prime?
False
Let i(j) = -407*j + 5. Let q be i(-1). Let d = 945 - q. Is d a prime number?
False
Let d(c) = -274*c**3 - 13*c**2 + 7*c + 23. Is d(-3) a prime number?
True
Let r = -17 + 32. Is -2373*((-20)/r)/4 a prime number?
False
Suppose 22*j - 15*j = 35273. Is j composite?
False
Let n = 18884 + -11389. Is n a prime number?
False
Is (32 + 275)*38/2 a composite number?
True
Suppose 6551 = 3*y + 2*q - 4*q, 5*q = -3*y + 6544. Is y a prime number?
False
Let z = 13376 + -5587. Is z prime?
True
Let f = 2 + 5. Suppose -f = -5*a + 13. Suppose -5*c + 889 = a. Is c a composite number?
True
Suppose -4*a + 12 = -4. Suppose -a*z + 9260 = 5*f + 1072, 0 = 4*f - 3*z - 6538. Suppose p + 3*p = f. Is p prime?
True
Let g = -41029 + 58292. Is g a prime number?
False
Let v = -7 + 7. Suppose -l - 4*l + 350 = v. Suppose 0 = c + 12 - l. Is c prime?
False
Let r = 53 - 50. Is (6*29)/(1/(r/6)) prime?
False
Let v be 29001/4 - 2*18/(-48). Suppose -225*l = -228*l + v. Is l a composite number?
False
Let m be -19*1/((-2)/4). Let z be (-678)/(-22) - (60/33 - 2). Let c = m - z. Is c composite?
False
Let c = -283 + 3716. Is c prime?
True
Let p be -3*(-1 + 3/9). Let d be (-1 + p)/(2/6). Suppose 5*u - 20 = 0, s - 508 = -d*s + 4*u. Is s prime?
True
Let o = -315 + 707. Suppose -2*a + 4*m + 947 = 3*a, -2*a + o = 5*m. Is a a composite number?
False
Is 80307/36 - (-5)/20 a composite number?
True
Let b(n) = -n**3 + 6*n**2 + 6*n + 8. Let c be b(7). Let a = 1 + c. Let o(r) = 33*r**3 - 3*r + 1. Is o(a) composite?
True
Suppose -6*i + 6 = -6. Suppose 4*n - 2*d - 11736 = 0, 671 = i*n + 2*d - 5203. Is n prime?
False
Let n be ((-6)/6)/((-2)/8). Let m be 1/((-2)/n + 1). Is (1 + 129/2)*m composite?
False
Let q(r) = 32*r - 28. Let i be q(13). Let g = i - -1155. Is g prime?
True
Suppose 4*v - 345 = -v. Let g(h) = -638*h - 4. Let q be g(-1). Let p = v + q. Is p prime?
False
Let z(a) = 722*a + 18. Let f be z(7). Suppose -f = -9*k + 4009. Is k composite?
False
Suppose -573 = -2*m + 437. Suppose 4*d + 45 = m. Is d a composite number?
True
Let m be (-4)/4 + 184/(-2). Let n be 2 + (202 - (-16)/4). Let u = m + n. Is u composite?
True
Let n(l) be the first derivative of 3 + 5/3*l**3 - 5*l - 5/2*l**2. Is n(6) prime?
False
Suppose -2*u + 0*u - 6547 = -t, 2*t = 3*u + 13094. Let h = t - 4658. Is h a prime number?
True
Let h(d) = 4*d - 3. Let m be h(2). Suppose -m*o = 592 - 3357. Is o a prime number?
False
Let l = 25 + -21. Let u be 379 + (2 - 0 - l). Let y = 555 - u. Is y a composite number?
True
Let o(v) = -v - 16. Let w be o(-16). Suppose -3*u + 7402 = -5*z, u + 0*u - z - 2464 = w. Is u prime?
True
Let o be (2 - -1)*(-2)/(-6). Let s(c) = -c + 3. Let j be s(o). Suppose -472 = -j*m - 5*x, 4*m - 4*x = 885 + 3. Is m a composite number?
True
Suppose 3*y = 4*r - 33778 + 13088, 2*y + 10346 = 2*r. Is r a prime number?
True
Let b = -820 - -1461. Is b a prime number?
True
Let c(t) = -2*t + 30. Let w be c(14). Suppose w*s + n - 2108 = 0, -6*s + 4*n + 5283 = -s. Is s prime?
False
Let x(d) = 219*d - 25. Let p be (-7)/21 + 39/9. Is x(p) a prime number?
False
Is 1/(-3) - (-1)/((-3)/(-4192)) composite?
True
Let h(p) = -651*p + 1. Suppose 0 = -4*u + 2*t - t - 6, -2*t + 7 = -3*u. Let s be h(u). Let n = s - 359. Is n a composite number?
False
Is (71770 - -2) + (-79 - -84) composite?
False
Suppose -3*k - 60 = 5*m, -3*m + 2*k - 36 = -2*k. Let c = m + 49. Is c composite?
False
Suppose -5*m + z + 25 = 0, 2*m + 3*m - 3*z = 15. Suppose 5*i - 8*i = -m. Is (-5820)/(-36) - i/3 composite?
True
Let t be (-5)/25 + 3 + (-211383)/(-15). Suppose -t = -9*u + 4*u. Is u a prime number?
True
Suppose 0 = 23*b + 86666 - 731103. Is b prime?
True
Is (-36)/(-27) + (-3561)/9*-1 a composite number?
False
Let t = -13543 - -19182. Is t a prime number?
True
Let r be (6/(0 - 1))/(-5 + 6). Is ((-12255)/r - 3/2) + 4 a composite number?
True
Let l(x) = 30106*x**2 + 11*x + 19. Is l(-2) prime?
False
Suppose -13 = -x + 2*c, -x + 0*c = 4*c + 17. Suppose -m + t + 11 = -x*t, 2*t + 34 = 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
d - n = 3*d + g for d.
3
Let m(b) = -66*b - 5. Let t be m(-5). Suppose 194 + 4 = 11*l. Let n be t/30 + 3/l - 1. Solve 4*y = y, 5*w + n = 5*y for w.
-2
Suppose -2*v + 11 = 5*r, -5*r - 1177*v + 18 = -1176*v. Solve -y - 4 = -r*w, -2*y - 15 = -w - 7 for y.
-4
Let a = 160 - 148. Let r(v) = -16*v + 215. Let p be r(a). Solve -4*u + 4*s = -u - p, 5*s = 2*u - 20 for u.
5
Suppose 4*c = -3*m + 502, -m = -4*m - c + 517. Let v = m - 174. Solve -2*r - 4*t + 16 = v, 2*r - 19 = -0*r - 5*t for r.
2
Let u be (-32)/10*(-3)/(66/(-55)). Let w(f) = f**3 + 5*f**2 - 29*f - 12. Let z be w(u). Solve -6*l + l - 2*j - z = 0, 2*j = 2*l for l.
-4
Let b(i) = -2*i**2 - 24*i + 12. Let x(p) = -p**2 + 11*p + 48. Let c be x(-4). Let t be b(c). Solve -5*v = -0*f - 2*f - 17, 3*v - t = 3*f for f.
-1
Let b(d) = -4*d**2 + 7*d + 7. Let y be (-2)/(((-3)/6)/((-6)/24)). Let p be b(y). Let q = p + 6. Solve q*f = 3*g + 5 + 2, -2*f = g - 11 for f.
5
Suppose 0 = -2*n - 95 + 385. Let t = 147 - n. Solve b - 10 = -b + a, -t*a = 4 for b.
4
Let k(y) = -1501*y + 3. Let o be k(0). Solve o*l - 7*l = a, -3*l = a for l.
0
Let f be 114/10*95/(-342)*-6. Solve -15*n + f*n - 22 = 5*l, -5*l + 5*n - 25 = 0 for l.
-2
Let z be (-134)/3149 + 237/47. Solve -3*y + 32 = z*q, -2*y + q + 8 = y for y.
4
Let x = 237 + -233. Suppose 7*q - x*w + 10 = 2*q, -4*q = w - 13. Solve 4*m + m - n - 16 = 0, -q*n + 24 = 4*m for m.
4
Let n = -7540 + 7542. Solve c - 7 = -5*o, -6*c + 5*c + 4*o = n for c.
2
Let l(d) = -d**3 + 7*d**2 - d + 10. Let h be l(7). Suppose h*g - 24 = -12. Solve -g*k - 25 = -i, k + 0*i = -3*i + 10 for k.
-5
Let u(j) = j**3 + 6*j**2 - 9*j + 64. Let g be u(-8). Solve -15 + g = z - 5*s, 0 = 2*s - 4 for z.
3
Suppose 1925 = 18*c + 1331. Solve 0 = 2*i - t + 3, -30*i + c*i + t = 8 for i.
1
Suppose 5*q = 6*w - 5*w + 12, -q = w. Solve -3*y + 2 = q*k, 0 = k - 7*y + 13*y - 1 for k.
1
Let c = 569 - 559. Suppose -c*s + 6*s = 4*s. Let z = 22 + -13. Solve 3*i - 3*n - z = s, -5*i - 2*n = -0*n + 13 for i.
-1
Let m(f) = 37*f**2 - 5*f + 3. Let z be m(3). Suppose 3*d + 297 - z = 0. Solve 5*x - d = -4*u, x + 2*u + 2 = -0 for x.
4
Let j(u) = 12*u + 123. Let p be j(-32). Let y = -257 - p. Let w = 31 - 15. Solve 2*g = 4*f - 28, -y*f + 3*g + w = -16 for f.
5
Suppose -677 = 149*f - 2912. Suppose 2*b = 3*x + 4, -3*b + 0*x - 2*x = 20. Let r be 9/2 - (-2)/b. Solve -f + r = 2*u + m, 4*u + 5*m + 37 = 0 for u.
-3
Suppose -2*f + 13 = 5*q, -2*f + 3*q + 5 = -0*q. Let i be (f + -7)/(-12)*92. Suppose i = z + 17. Solve -g + 4*r + z = 0, 2*g = -0*g + 3*r + 2 for g.
-2
Suppose 5*q + 34 = p, p + 10 = -3*q - 4. Solve 3*v - 7*c - 15 = -6*c, -p*v + 31 = -5*c for v.
4
Let m = -31 - -10. Let v = m + 28. Let h be 10 + ((-30)/(-5) - 11). Solve 4*l - v = c - 0*l, 2*l + 19 = h*c for c.
5
Suppose -2 = -24*f + 94. Let h be f - (-11 - -9)*11/2. Solve 2*n - 7 + h = -2*g, 2*g = -n - 8 for g.
-4
Suppose 125 = 5*j + 5*c, -3*j + 85 - 25 = -2*c. Let u be (-4)/j - (-15)/66*14. Solve -u*n - 2*x = -19, -4*n + x + 18 = -0*x for n.
5
Suppose 4*m - 819*c = -814*c + 55, -2*c = m + 9. Solve -4*q = 4*w - 62 + 86, 3*q = m*w - 10 for q.
-5
Let u(f) = -f**2 - 6*f - 8. Let k be (-2)/(-9) + 241/9. Let c = -29 + k. Let g be u(c). Solve -4*b + b - 4*a - 3 = g, 4 = -4*b + 3*a for b.
-1
Let l be 80/(-24)*(-5 + -4). Let k be (-2)/(-8 + 228/l). Solve 0 = -2*g - k*p - 5, 2*p - 17 = -4*g + p for g.
5
Let c(k) = -k**2 + 5*k + 7. Let n be c(6). Let f(j) = -4*j - 7. Let o be f(-2). Let q be o - 1 - n - -5. Solve -5*r + 21 = 3*s - 0*s, -2*r - q = -5*s for r.
3
Suppose w + 455 - 458 = 3*r, 4*w + r = 12. Solve -3*x + 17 = -2*h, 3*h + x + w = -6 for h.
-4
Suppose 3*i = 5*i - 6. Suppose -3302 = -1333*u + 697. Solve i*x = -u*f + f + 20, -2*f = -2*x for x.
4
Let h = 15512 - 15507. Solve 38 = -3*p + 4*v, -h*p + 2*v - 5 - 35 = 0 for p.
-6
Let l(x) = -341*x - 1364. Let j be l(-4). Solve 0 = -3*t - 2*t - 3*o, -2*t - 4*o + 14 = j for t.
-3
|
{
"pile_set_name": "DM Mathematics"
}
|
*(-2/37) assuming b is positive.
b**(-34/481)
Simplify ((((s/((s/s**(-4))/s*s))/s)/s)/s)/s*s**(-6/7)*s*(s/((s*s*s*s*s**(-5/2)*s*s)/s))/s*s*s*s*s/(s*s**7*s)*s assuming s is positive.
s**(-201/14)
Simplify (u/u**(-3))**(-42) assuming u is positive.
u**(-168)
Simplify ((q/q**(-1/2))/(q/((q*q**(-6)*q)/q)))**(1/9) assuming q is positive.
1/sqrt(q)
Simplify (k**(5/4)*k)**(-1/8) assuming k is positive.
k**(-9/32)
Simplify ((n**(-2/7))**(-21))**(2/51) assuming n is positive.
n**(4/17)
Simplify ((a**(-39)/a)/a)/(a**(-32)*a) assuming a is positive.
a**(-10)
Simplify (w**(-2/3))**24/(w**(-3)/w**1) assuming w is positive.
w**(-12)
Simplify a**(-2/61)*a/a**12 assuming a is positive.
a**(-673/61)
Simplify ((c/c**(1/22)*c)/c)**11 assuming c is positive.
c**(21/2)
Simplify ((y/y**0)/y*(y*y**2*y)/y)/(y**1)**(-31) assuming y is positive.
y**34
Simplify (l*l*l/((l*l**(-47))/l))**(3/2) assuming l is positive.
l**75
Simplify (v**(-7))**(1/6) assuming v is positive.
v**(-7/6)
Simplify g**(-5/4)/(g**9*g)*(g**(-3/10)*g)/g*g/(g**(-2/5)/g) assuming g is positive.
g**(-183/20)
Simplify (j**(2/7))**(47/5)/(j**(2/7))**(-1/29) assuming j is positive.
j**(2736/1015)
Simplify ((b*b/(b*b**24/b*b)*b*b)/b)**(-7) assuming b is positive.
b**154
Simplify (i**(-2/25)/(i**(-12)*i))**21 assuming i is positive.
i**(5733/25)
Simplify u**(-5/2)*u**(-8)*u*u*u/(u*u**(-6))*u/(u/((u/(u**2/u))/u)) assuming u is positive.
u**(-7/2)
Simplify z**(-2/5)/z*z**(1/4)*z**(-1/8)*z**(2/11)/z assuming z is positive.
z**(-921/440)
Simplify y/y**(-5)*(y*y/((y*y*y**(-3/7)*y*y)/y)*y)/y*(y**(-2/7))**6 assuming y is positive.
y**(26/7)
Simplify ((o*o**0)**(-7/10))**22 assuming o is positive.
o**(-77/5)
Simplify n**(-2/7)*n*n*(n/n**(-1/49)*n*n)/n assuming n is positive.
n**(183/49)
Simplify (o**7/(o*o*o/(o/(o*o**(-5)))))/(o**(-1/7)/o**(-2/9)) assuming o is positive.
o**(562/63)
Simplify m**(3/5)*m**(-2/11)/m assuming m is positive.
m**(-32/55)
Simplify ((c/c**(-1/3)*c*c*c)/(c/(c**4/c*c)))**(2/39) assuming c is positive.
c**(44/117)
Simplify (c/(c/((c/c**(9/4))/c*c)))**24 assuming c is positive.
c**(-30)
Simplify (i*i/(i*(i*i**(-5/3)*i)/i))/(i*i**12) assuming i is positive.
i**(-34/3)
Simplify (((((m*m*m**(-1/3)*m)/m)/m)/m)/m**5)/(m**(-1/2))**(6/13) assuming m is positive.
m**(-199/39)
Simplify (b**4/(b*(b*b*b*b**4)/b))/(((b**(2/7)/b)/b)/(b/b**(2/5))) assuming b is positive.
b**(-24/35)
Simplify (q**42*q)/q**(-11) assuming q is positive.
q**54
Simplify a**(-2/7)*a**(-8)*(a**0)**(-3/34) assuming a is positive.
a**(-58/7)
Simplify (d**6*d)/d**4*d/d**(-3)*d/d**(-1) assuming d is positive.
d**9
Simplify ((d/(d**(-5)/d))/(d/d**6))/(d**(-5)/d*d*d/(d/(d**1*d*d)*d)*d) assuming d is positive.
d**14
Simplify (r**(-1)/(r**(-3)/r))/(r/(r**(-1/3)*r))**35 assuming r is positive.
r**(-26/3)
Simplify (w**8)**8 assuming w is positive.
w**64
Simplify (k**(4/5))**(-23) assuming k is positive.
k**(-92/5)
Simplify (((k*k**2)/k)/k)/(k/(k/(((k**(-2/3)*k*k)/k)/k))) assuming k is positive.
k**(5/3)
Simplify (a/(a/((a*a**(-9/8))/a)*a))**(2/137) assuming a is positive.
a**(-17/548)
Simplify (l/l**0)**(1/59) assuming l is positive.
l**(1/59)
Simplify f**(-1/35)/(f*f*f**(-12/7)/f*f) assuming f is positive.
f**(-11/35)
Simplify i**(-1/9)*i**(2/71) assuming i is positive.
i**(-53/639)
Simplify (s**(-2/3)/s)**(-12/11)/(s**(-1)/(s*(s/((((s**(-5/3)/s)/s)/s*s)/s))/s)) assuming s is positive.
s**(280/33)
Simplify r**(2/5)/r*(r**(1/7)*r)/r*(r**0)**(8/3) assuming r is positive.
r**(-16/35)
Simplify (m/m**(-16)*m)**(-2/5) assuming m is positive.
m**(-36/5)
Simplify (n/(n/((n**(1/3)/n)/n))*n)/n*n**(-19) assuming n is positive.
n**(-62/3)
Simplify (g/g**7*g**(-6)*g)/(g*g**(1/2))**(-11) assuming g is positive.
g**(11/2)
Simplify (b**(2/7)*b)**(-29) assuming b is positive.
b**(-261/7)
Simplify (w*w*w/(w*w**(-16))*w*w*w*w*w/((w*(w**(2/5)*w)/w)/w))**27 assuming w is positive.
w**(3051/5)
Simplify m**(11/4)*m*m/(m*(m*m/(m**(-1/20)/m*m)*m)/m) assuming m is positive.
m**(17/10)
Simplify ((t**1)**(6/5))**(2/21) assuming t is positive.
t**(4/35)
Simplify v**(2/37)/(v**(-11)/v) assuming v is positive.
v**(446/37)
Simplify o/(o*o*o**(11/3))*o*o*o**(9/2)*o assuming o is positive.
o**(17/6)
Simplify (v/(v/(v*v**(-20))))/(v**(3/2)/v) assuming v is positive.
v**(-39/2)
Simplify ((m*m/m**11*m)/m)**(-2/75) assuming m is positive.
m**(6/25)
Simplify (b**(2/13)*b**(-1/4)/b*b*b*b)/((b*b**4)/(b*b*b**(-1/6)*b)) assuming b is positive.
b**(-41/156)
Simplify ((i/(((i**(-4/5)*i)/i)/i))/(i*i**3*i))/(i/i**(-1)*i**(4/7)) assuming i is positive.
i**(-167/35)
Simplify v**2/((v*v**(-2/5))/v)*(v*v*v**3/v)/(v**(-1/6)*v*v) assuming v is positive.
|
{
"pile_set_name": "DM Mathematics"
}
|
* -0.051.
0
Multiply 6.02 and 0.
0
Multiply -9 and -304.
2736
0.3645 * 1
0.3645
What is 4 times -3?
-12
What is the product of 458 and 0.03?
13.74
What is the product of -8 and -1?
8
Work out 5.03 * 0.5.
2.515
Product of -6 and -68.
408
-9 * -0.3
2.7
Work out 2494 * 2.
4988
-0.05 times -137.1
6.855
10 * -0.23
-2.3
Product of -0.3 and -365.
109.5
Product of 7 and -0.1.
-0.7
Calculate -317*-39.
12363
What is -472 times -0.04?
18.88
Work out 4 * -70.
-280
Calculate -192*-11.
2112
What is -206 times -2.9?
597.4
-2 * -2.7
5.4
What is the product of 17 and -66?
-1122
0.2 times -3833
-766.6
1.021 times 1
1.021
Calculate 5*-65.
-325
Work out -3 * -66.
198
-1806 * 0.4
-722.4
-2.9 * 125
-362.5
What is -0.2 times -91?
18.2
What is the product of -0.046 and 217?
-9.982
Work out -0.02709 * -0.4.
0.010836
11 times 308
3388
What is -0.3 times 27?
-8.1
Work out 3 * 35.
105
Multiply -175 and -0.02.
3.5
Multiply 0.9 and 15.
13.5
What is 2 times -0.15?
-0.3
-0.12 * -1720
206.4
189*0.4
75.6
What is the product of -0.44 and 4?
-1.76
What is 40 times 2?
80
What is the product of -2 and 2960?
-5920
What is the product of -2.6 and 0.053?
-0.1378
0.898*2
1.796
Calculate -143*0.
0
Calculate -3.9*-0.3.
1.17
What is the product of 2 and 68?
136
0.01 * 82.1
0.821
Product of 0.78 and 8.
6.24
Product of 3.09 and 0.5.
1.545
Work out -1.351 * 5.
-6.755
Calculate -108*-1.4.
151.2
Product of -11 and 17.4.
-191.4
Product of 10777 and -0.5.
-5388.5
1.3 times 302
392.6
What is 32 times -12.4?
-396.8
Work out 4 * 9.5.
38
-1.3 times -56
72.8
15575 * 0.1
1557.5
0.2 times -25.9
-5.18
-0.454 * 0.1
-0.0454
Multiply 0.36 and -18.
-6.48
Multiply 24.42 and 1.
24.42
Calculate -4.26*4.
-17.04
1 * 88
88
Work out -4 * 2.44.
-9.76
Product of 3 and -220.
-660
What is -337 times -8?
2696
Work out 9.827 * -2.
-19.654
Product of -18 and 2.4.
-43.2
Work out 2.7 * -0.04.
-0.108
Work out -5 * -136.
680
What is the product of -541 and -5?
2705
Work out 1 * -6.5.
-6.5
What is the product of -434 and 5?
-2170
-0.2 times -7.63
1.526
Product of 801 and -0.3.
-240.3
175*0.33
57.75
-12073 * -2
24146
Calculate -5*568.
-2840
31676 times -0.4
-12670.4
Work out 526 * 0.08.
42.08
Multiply 0.3 and 542.7.
162.81
Calculate -0.5*52.4.
-26.2
-0.4 times 568
-227.2
-1.9 times 4
-7.6
Product of 66388 and -2.
-132776
What is -0.045 times -0.008?
0.00036
Calculate 0.5*-815.
-407.5
-5 * -0.022
0.11
0.3 times -0.85
-0.255
-48 * 128
-6144
Work out -230 * -0.5.
115
What is the product of 1.116 and 6?
6.696
-18382*-5
91910
Product of 33 and -0.1.
-3.3
Multiply 10.4 and 60.
624
Product of -8 and 6.
-48
What is 0.0561 times 0.4?
0.02244
What is -50 times 6?
-300
13*-42
-546
Product of 0.1 and 0.67.
0.067
Calculate 74*-3.
-222
Product of -0.705 and 0.3.
-0.2115
Multiply -9 and -9.
81
What is -340 times 4?
-1360
-74425 times -5
372125
What is 703 times 1?
703
Product of -0.0034 and 0.43.
-0.001462
What is 0.1 times 55.13?
5.513
0.4*20
8
0.22 times 5
1.1
What is the product of 0.5 and 500?
250
Multiply -3.1 and -0.051.
0.1581
5092.2 times 3
15276.6
Calculate -0.06*10.4.
-0.624
0.2 * 1.91
0.382
What is -5 times -14?
70
Calculate 30*-0.06.
-1.8
What is 5655 times -0.5?
-2827.5
Calculate 0.427*0.2.
0.0854
What is 0.0794 times -0.3?
-0.02382
Calculate 3*-0.0502.
-0.1506
What is the product of -2 and 292?
-584
What is 40.6 times 5?
203
-3 times 27
-81
What is 0.24 times -18?
-4.32
481 times -0.1
-48.1
Multiply 0.09 and 4.
0.36
Work out -0.01 * 66.
-0.66
What is the product of 3.47 and -4?
-13.88
Work out 0.4 * -166.
-66.4
Multiply -66 and 2.
-132
Work out 87 * 3.
261
What is the product of 0.1 and -46?
-4.6
Work out -18.79 * -2.
37.58
Calculate -5*7.1.
-35.5
Multiply 21 and -4.6.
-96.6
Calculate -0.1*2.1.
-0.21
Work out -0.157 * 3.
-0.471
What is 42.4 times -4?
-169.6
Multiply -24 and 190.
-4560
Product of 0.087 and 0.084.
0.007308
Work out 9 * -564.
-5076
Calculate 1*173.
173
Calculate 0.5*53.5.
26.75
0.2 * 0.6
0.12
Calculate 0.3301*-0.4.
-0.13204
0.1 times 0.035
0.0035
Multiply 344 and 5.
1720
What is the product of -0.4 and -34?
13.6
0.4*-141
-56.4
0.1*0.17
0.017
358 times -1.1
-393.8
-32 * -4
128
2 times -27.8
-55.6
0.232 times -0
|
{
"pile_set_name": "DM Mathematics"
}
|
) to base 11
-a925
Convert 1000111001 (base 2) to base 9.
702
Convert -604 (base 9) to base 10.
-490
-100020 (base 4) to base 15
-48c
What is 214525 (base 6) in base 11?
12501
-1e04 (base 16) to base 7
-31255
5371 (base 8) to base 12
1761
What is 146 (base 15) in base 3?
101210
What is -211103 (base 5) in base 13?
-3278
111120010 (base 3) to base 13
4665
Convert 11121 (base 3) to base 11.
103
Convert 906 (base 13) to base 9.
2076
What is 75 (base 8) in base 16?
3d
What is -461 (base 8) in base 11?
-258
-47c (base 14) to base 8
-1576
What is -5360 (base 7) in base 14?
-9a0
2020 (base 7) to base 4
22330
What is -121031 (base 5) in base 2?
-1000110100100
Convert 872 (base 13) to base 14.
753
Convert 320 (base 11) to base 4.
12001
What is -2303 (base 6) in base 9?
-663
Convert -122110 (base 3) to base 12.
-333
What is -14b (base 16) in base 15?
-171
What is 2aa (base 16) in base 13?
406
Convert 1132001 (base 4) to base 2.
1011110000001
-1299a (base 11) to base 2
-100100001000101
What is -4039 (base 16) in base 6?
-204041
What is -842 (base 14) in base 8?
-3132
5502 (base 6) to base 11
a48
What is -9b04 (base 13) in base 9?
-32610
-2655 (base 9) to base 6
-13122
What is 2313222 (base 4) in base 9?
17110
691 (base 14) to base 15
5bd
What is 346 (base 14) in base 9?
802
Convert -912 (base 10) to base 16.
-390
Convert 11312 (base 4) to base 14.
1ca
What is 13140 (base 6) in base 14?
a32
2012 (base 4) to base 12
b2
What is -177 (base 16) in base 7?
-1044
d42 (base 14) to base 9
3515
-10000110100100101 (base 2) to base 4
-100310211
-214 (base 11) to base 7
-515
What is -111110101 (base 2) in base 13?
-2c7
Convert 162415 (base 8) to base 15.
12592
Convert 45553 (base 6) to base 7.
24612
What is 1203 (base 4) in base 14?
71
Convert -1110000011 (base 2) to base 6.
-4055
Convert -96b (base 15) to base 7.
-6125
What is -505 (base 10) in base 8?
-771
Convert -32444 (base 5) to base 13.
-1040
10606 (base 7) to base 14
dad
What is -1202020 (base 3) in base 15?
-5a0
What is a3c (base 14) in base 3?
2202121
What is -334 (base 14) in base 16?
-27a
Convert 21664 (base 7) to base 5.
133420
-394 (base 12) to base 13
-32b
Convert -21467 (base 12) to base 14.
-11da7
What is -1321 (base 4) in base 12?
-a1
Convert -741 (base 14) to base 12.
-9b1
What is 1131 (base 4) in base 13?
72
Convert -2a105 (base 11) to base 7.
-235354
Convert -121012201 (base 3) to base 7.
-46312
What is 190d (base 14) in base 12?
2749
Convert -406 (base 15) to base 9.
-1216
Convert -20764 (base 12) to base 9.
-64334
Convert -1fa0 (base 16) to base 6.
-101252
5a86 (base 14) to base 6
201050
-5316 (base 10) to base 15
-1896
What is -13140 (base 6) in base 4?
-133110
Convert -1429 (base 13) to base 12.
-1824
What is 1167 (base 8) in base 7?
1561
What is -3131201 (base 4) in base 8?
-33541
Convert 265 (base 14) to base 7.
1255
Convert -16d1 (base 16) to base 10.
-5841
What is 2a0 (base 11) in base 13?
211
What is -10110010111111 (base 2) in base 10?
-11455
2016 (base 7) to base 9
856
2aa (base 12) to base 7
1135
Convert -9a2b (base 12) to base 7.
-100433
2000102001 (base 3) to base 5
2232124
Convert -10122201201 (base 3) to base 5.
-4300344
What is 3103012 (base 4) in base 7?
54250
60161 (base 11) to base 15
1b13e
What is -19c3c (base 13) in base 3?
-2120011011
Convert 11110111100101 (base 2) to base 4.
3313211
Convert 2123101 (base 4) to base 14.
389b
37260 (base 8) to base 3
211000101
-2001210022 (base 3) to base 8
-117336
Convert 1476 (base 10) to base 3.
2000200
Convert -565 (base 8) to base 9.
-454
-14a8 (base 12) to base 13
-1151
What is 692 (base 12) in base 3?
1100002
Convert 60530 (base 8) to base 2.
110000101011000
What is 100010011000111 (base 2) in base 13?
8025
-377 (base 12) to base 6
-2231
Convert -2345 (base 6) to base 4.
-20321
What is -17bb (base 12) in base 5?
-43004
What is 4125 (base 6) in base 15?
412
3131330 (base 4) to base 2
11011101111100
What is -18916 (base 13) in base 14?
-13537
Convert 2379 (base 11) to base 6.
22223
What is -3123 (base 6) in base 8?
-1273
What is 212220 (base 3) in base 7?
1611
Convert -12222 (base 5) to base 6.
-4201
949 (base 13) to base 2
11000101110
Convert 659 (base 16) to base 2.
11001011001
What is -1204022 (base 5) in base 12?
-10b57
Convert -1623 (base 8) to base 4.
-32103
1110 (base 5) to base 13
bc
Convert -312323 (base 4) to base 9.
-4735
What is -22416 (base 7) in base 14?
-210d
What is -10054 (base 6) in base 11?
-aaa
What is 3010 (base 6) in base 15?
2d9
17223 (base 10) to base 13
7abb
Convert 1134 (base 10) to base 6.
5130
What is -10113111 (base 4) in base 11?
-12482
Convert -3764 (base 9) to base 6.
-21004
What is 10411 (base 10) in base 5?
313121
-506 (base 7) to base 9
-308
5536 (base 8) to base 15
ce0
Convert 1010 (base 3) to base 14.
22
What is 4f7 (base 16) in base 3?
1202002
Convert -417 (base 14) to base 6.
-3421
What is -919 (base 11) in base 12?
-785
-10200121 (base 3) to base 16
-a81
What is -1471 (base 8) in base 6?
-3453
Convert 35da (base 15) to base 3.
|
{
"pile_set_name": "DM Mathematics"
}
|
) in base 12?
-184
Convert 868 (base 9) to base 11.
596
Convert -169 (base 14) to base 4.
-10201
Convert 313303 (base 5) to base 16.
28d5
-450 (base 8) to base 4
-10220
Convert 240 (base 8) to base 7.
316
Convert -1c511 (base 13) to base 9.
-84462
-1212222 (base 3) to base 8
-2540
What is 2799 (base 16) in base 6?
114533
-67330 (base 8) to base 15
-861b
Convert 202122220 (base 3) to base 15.
46e3
-1222100 (base 4) to base 11
-5122
What is -1330 (base 9) in base 14?
-515
What is -3263 (base 7) in base 4?
-102110
What is 47 (base 16) in base 9?
78
Convert -2419 (base 12) to base 8.
-7725
What is 1219 (base 11) in base 5?
22333
Convert 644 (base 10) to base 5.
10034
Convert 79 (base 10) to base 2.
1001111
225 (base 9) to base 5
1220
Convert -11032 (base 6) to base 9.
-2082
110200 (base 3) to base 9
420
Convert -47a (base 14) to base 9.
-1201
What is 863 (base 15) in base 10?
1893
Convert 14e4 (base 15) to base 16.
1189
-3233312 (base 4) to base 7
-62516
Convert 266 (base 7) to base 3.
12102
What is -10600 (base 9) in base 8?
-15607
Convert 294 (base 10) to base 15.
149
Convert -221221211 (base 3) to base 4.
-10213222
What is -10c20 (base 13) in base 2?
-111011110010111
What is -36e8 (base 16) in base 11?
-a619
2c8 (base 13) to base 10
502
1d9a (base 15) to base 4
1210231
-240 (base 13) to base 15
-1b0
395 (base 12) to base 10
545
Convert 724 (base 8) to base 10.
468
What is 141014 (base 5) in base 12?
33bb
What is 243214 (base 5) in base 3?
110121011
Convert -26a9 (base 12) to base 2.
-1000101100001
What is 32521 (base 6) in base 4?
1012201
What is 4728 (base 9) in base 8?
6665
-13550 (base 6) to base 4
-201222
105 (base 10) to base 8
151
-54164 (base 8) to base 9
-34050
Convert -10802 (base 9) to base 4.
-1300223
Convert -1043 (base 6) to base 3.
-100000
What is -47855 (base 9) in base 13?
-11780
What is 1000200 (base 5) in base 9?
23446
-205 (base 6) to base 10
-77
What is 3321 (base 5) in base 9?
562
1561 (base 16) to base 3
21111201
Convert -3100444 (base 5) to base 12.
-25010
Convert 1da0 (base 15) to base 3.
22211220
What is -2bc (base 16) in base 2?
-1010111100
What is -202 (base 14) in base 11?
-329
What is -21 (base 7) in base 15?
-10
What is -23121 (base 4) in base 13?
-441
Convert 3b28 (base 12) to base 11.
5122
546 (base 9) to base 12
313
What is -162 (base 14) in base 5?
-2112
Convert 100101101111110 (base 2) to base 15.
5ad6
Convert -384 (base 13) to base 3.
-211210
Convert -161415 (base 7) to base 12.
-16470
435 (base 9) to base 16
164
Convert 4421 (base 6) to base 9.
1354
What is -2045 (base 6) in base 14?
-24d
Convert 2010 (base 6) to base 4.
12312
200111 (base 3) to base 13
2c5
Convert -120421 (base 5) to base 2.
-1000110000110
10010001111 (base 2) to base 15
52c
What is 1496 (base 10) in base 3?
2001102
Convert -110120 (base 3) to base 4.
-11103
Convert -23305 (base 10) to base 3.
-1011222011
Convert -7316 (base 9) to base 3.
-21100120
-32b5 (base 14) to base 15
-2908
20 (base 5) to base 13
a
14072 (base 8) to base 3
22111201
What is -218 (base 13) in base 9?
-438
Convert -12221 (base 3) to base 14.
-b6
Convert -201221212 (base 3) to base 5.
-431144
What is -10489 (base 10) in base 15?
-3194
22229 (base 11) to base 2
111110111011001
40746 (base 8) to base 3
212010211
What is 15f0 (base 16) in base 2?
1010111110000
What is 215024 (base 6) in base 11?
12533
What is 23194 (base 11) in base 13?
1232b
-17414 (base 9) to base 14
-4533
-23000333 (base 4) to base 12
-2213b
-35a (base 15) to base 6
-3304
41151 (base 7) to base 14
3928
592a (base 11) to base 8
17140
Convert 10ac (base 15) to base 3.
11212000
6445 (base 11) to base 16
2147
Convert 1004 (base 6) to base 2.
11011100
d74 (base 14) to base 7
10504
What is 221113 (base 4) in base 12?
1647
What is 211 (base 8) in base 2?
10001001
7150 (base 9) to base 13
24c3
Convert -50c (base 15) to base 7.
-3213
Convert -1174 (base 10) to base 6.
-5234
Convert 1121344 (base 5) to base 12.
b854
What is 241 (base 11) in base 6?
1155
What is -27997 (base 10) in base 4?
-12311131
-10103 (base 6) to base 12
-933
-136356 (base 8) to base 12
-23ba6
Convert -745 (base 13) to base 7.
-3421
What is 17b8 (base 14) in base 2?
1000010110110
cc69 (base 13) to base 6
335503
5406 (base 8) to base 2
101100000110
What is -1012212201 (base 3) in base 14?
-8a40
-135c3 (base 14) to base 16
-bab7
Convert -21 (base 10) to base 14.
-17
Convert -1264 (base 13) to base 14.
-d4d
Convert 1030 (base 10) to base 7.
3001
Convert -111200 (base 4) to base 14.
-704
-3111 (base 5) to base 15
-1c1
What is -39 (base 10) in base 3?
-1110
What is -12213 (base 4) in base 6?
-1543
Convert 2b3a (base 13) to base 4.
1202132
-111111111 (base 2) to base 6
-2211
What is -1b84 (base 13) in base 10?
-4164
Convert -23b9 (base 15) to base 4.
-1312233
What is -350 (base 7) in base 14?
-d0
-66263 (base 9) to base 10
-43959
Convert 865 (base 12) to base 11.
a18
What is 213023 (base 4) in base 13?
11ab
-85a (base 12) to base 14
-
|
{
"pile_set_name": "DM Mathematics"
}
|
decreasing order.
97, 15, 0.5, -1.1
Sort -1/7, -0.023, 3/7 in decreasing order.
3/7, -0.023, -1/7
Sort 2, -1, -4, -84 in increasing order.
-84, -4, -1, 2
Sort 0.4, 40/7, 0, -1/7.
-1/7, 0, 0.4, 40/7
Sort 5, 6/47, -2.5, -0.08 in ascending order.
-2.5, -0.08, 6/47, 5
Put -2/17, 132.2, -2, 1, -1/10 in increasing order.
-2, -2/17, -1/10, 1, 132.2
Put 2.7, 5/6, 0.36 in descending order.
2.7, 5/6, 0.36
Sort -256, -24, -27.
-256, -27, -24
Sort 3, -2/9, -12, 21, 2, 2/3 in descending order.
21, 3, 2, 2/3, -2/9, -12
Put 3, -2990, -2, 167 in descending order.
167, 3, -2, -2990
Put 932, -2, -5, -47 in increasing order.
-47, -5, -2, 932
Sort -4, 5, 0, 1, 4, -163 in decreasing order.
5, 4, 1, 0, -4, -163
Sort 1/6, 433315, 5 in descending order.
433315, 5, 1/6
Sort -36, 4, -204, 5, -15, -2.
-204, -36, -15, -2, 4, 5
Sort 5, 3, -53, 31 in ascending order.
-53, 3, 5, 31
Sort 5, 118, 6, 67, -2 in decreasing order.
118, 67, 6, 5, -2
Put 4, -2/21, -1/5, -75513 in descending order.
4, -2/21, -1/5, -75513
Put 0.39, 2/5, 2/47, 2, 8/5 in increasing order.
2/47, 0.39, 2/5, 8/5, 2
Sort -11, 1, -4, -22, -10, -27 in decreasing order.
1, -4, -10, -11, -22, -27
Put -5, -14, -18, -59 in increasing order.
-59, -18, -14, -5
Sort 14, -4, 2, 6 in decreasing order.
14, 6, 2, -4
Sort 0, -37, -6192, 1, 2 in ascending order.
-6192, -37, 0, 1, 2
Sort -1/4, -27, 2/17, -0.1, 1/2 in increasing order.
-27, -1/4, -0.1, 2/17, 1/2
Put 41, -4, 184, 4 in descending order.
184, 41, 4, -4
Put -1800, 6, -13, -0.5 in descending order.
6, -0.5, -13, -1800
Put -130, -2, -5, -24, -4, -37 in increasing order.
-130, -37, -24, -5, -4, -2
Put 361, -5, -4 in descending order.
361, -4, -5
Put -0.1, 11, 6, 396, -1 in ascending order.
-1, -0.1, 6, 11, 396
Put -3742, 4, -9 in ascending order.
-3742, -9, 4
Sort 9, 4/11, -4, -2, -2/7 in increasing order.
-4, -2, -2/7, 4/11, 9
Sort 67, -674, -9 in descending order.
67, -9, -674
Put -4, -10/3, 5, 3, -3/2 in descending order.
5, 3, -3/2, -10/3, -4
Sort 9, -29, -3, -1, 3 in descending order.
9, 3, -1, -3, -29
Sort -1/23916, 4/3, 4 in decreasing order.
4, 4/3, -1/23916
Put -9514, 4, 2, 6 in increasing order.
-9514, 2, 4, 6
Put 0, 1, 2, 54, 44, 4 in ascending order.
0, 1, 2, 4, 44, 54
Sort 3.2, 2/9, -62/17.
-62/17, 2/9, 3.2
Sort -0.4, 0, 1, -1.5567 in descending order.
1, 0, -0.4, -1.5567
Put -1, -77, 1597 in descending order.
1597, -1, -77
Sort 5/12, 138, 2 in descending order.
138, 2, 5/12
Sort -5, 0.5, 4/103, -1/6, 4 in increasing order.
-5, -1/6, 4/103, 0.5, 4
Sort -2, -2/7, -3.23, 0, -5, -3 in ascending order.
-5, -3.23, -3, -2, -2/7, 0
Sort 0.2, 6, 5, -0.2, -2619, -1.
-2619, -1, -0.2, 0.2, 5, 6
Put 3, 1, -4357, -3.5 in ascending order.
-4357, -3.5, 1, 3
Sort -2, -1, 304079, 0.
-2, -1, 0, 304079
Put -3, 0, -0.5, 216.7, -0.17 in decreasing order.
216.7, 0, -0.17, -0.5, -3
Put -4, 2/15, -3, 29.5, 5 in decreasing order.
29.5, 5, 2/15, -3, -4
Sort 9, -0.1, -0.99, -1/2, -478.
-478, -0.99, -1/2, -0.1, 9
Sort -2, 0, -4, 166581 in decreasing order.
166581, 0, -2, -4
Put -0.1, -4, -45, 0, 0.17, -18 in ascending order.
-45, -18, -4, -0.1, 0, 0.17
Put 0.5, 0.03, 2/7745, 1 in descending order.
1, 0.5, 0.03, 2/7745
Sort 96, -5, -160/41 in ascending order.
-5, -160/41, 96
Put -8, -5, 0, 2, 5, 984 in descending order.
984, 5, 2, 0, -5, -8
Put -0.5, -1/6, 3, -2/5, 2/9, 154 in increasing order.
-0.5, -2/5, -1/6, 2/9, 3, 154
Sort -6, 864, 5 in decreasing order.
864, 5, -6
Put 2, 26, -1408 in descending order.
26, 2, -1408
Sort -15, 5, 26735 in decreasing order.
26735, 5, -15
Sort 3/2, 1/2, 0.3, 1, 2, -80 in decreasing order.
2, 3/2, 1, 1/2, 0.3, -80
Put -0.027, -1/15, -1/9, 5, 12 in decreasing order.
12, 5, -0.027, -1/15, -1/9
Sort 2/297, 5, -4, -4/13 in descending order.
5, 2/297, -4/13, -4
Sort 5, -3, -0.1, -0.2, -6, 22/15.
-6, -3, -0.2, -0.1, 22/15, 5
Sort -0.01, -2/15, 6/5, -13, 1.
-13, -2/15, -0.01, 1, 6/5
Sort 1, 4, -711, -12, -11 in descending order.
4, 1, -11, -12, -711
Put 3, 5
|
{
"pile_set_name": "DM Mathematics"
}
|
Find the second derivative of -2*l**2 - 2*l - 3*l**2 + 3*l**h wrt l.
-4
Let a(g) be the first derivative of 151*g**6/6 + 4*g**3/3 - 148. Find the third derivative of a(j) wrt j.
9060*j**2
Let m(n) be the second derivative of 0*n**4 - 4*n + 0*n**2 - 5/3*n**3 - 4/5*n**5 + 0. What is the second derivative of m(k) wrt k?
-96*k
Find the second derivative of -12*v + 14 - v - 17 - 97*v**2 wrt v.
-194
What is the first derivative of -63*r**2 + 62*r**2 + 37*r**3 + 69 - 15 wrt r?
111*r**2 - 2*r
Let j(z) be the third derivative of 109*z**6/60 - 503*z**5/60 - 397*z**2. Find the third derivative of j(l) wrt l.
1308
What is the third derivative of 4 + 3 - 7 - 85*x**5 - 891*x**5 - 218*x**2 wrt x?
-58560*x**2
Let o(q) = -10*q**2 - q + 7. Let s(b) = -b**3 + 3*b**2 - 3. Let p be s(3). Let n(m) = -9*m**2 - m + 6. Let r(l) = p*o(l) + 4*n(l). Differentiate r(i) wrt i.
-12*i - 1
Let v(b) be the third derivative of 0*b**7 - 11*b**2 + 0*b**3 + 1/2*b**5 + 0*b**6 + 0*b + 0*b**4 - 1/24*b**8 + 0. What is the third derivative of v(o) wrt o?
-840*o**2
Suppose 5*q - k = -0*q + 52, -4*q = -3*k - 46. What is the third derivative of -5*a**2 + 6*a**3 + 8*a**3 - q*a**3 wrt a?
24
Let n = 10 - -22. Suppose -n = -5*o + g, -2*g - 6 = g. What is the second derivative of -47 + 47 + l - o*l**3 wrt l?
-36*l
Let j(s) = -s**2 + 1. Let y(b) = 353*b**3 + 187*b**2 - 2. Let h(n) = 2*j(n) + y(n). What is the third derivative of h(r) wrt r?
2118
Let m(x) = 45*x + 70*x**2 - 26*x + 31*x. Let u(n) = -28*n**2 - 20*n. Let l(t) = -5*m(t) - 12*u(t). What is the second derivative of l(z) wrt z?
-28
Find the second derivative of 120*m - 17923*m**2 + 17923*m**2 - 113*m**3 wrt m.
-678*m
Let f(r) = r**3 - 6*r**2 - 2*r + 6. Let u be f(6). Let l(w) = -2*w - 1. Let s be l(u). Find the second derivative of -12*c + 201*c**2 + s*c**4 - 201*c**2 wrt c.
132*c**2
Let x = 291 + -289. Let p(d) be the first derivative of 0*d**x - 3 + 4/3*d**3 - 3*d. What is the first derivative of p(o) wrt o?
8*o
Find the third derivative of -20*z**3 + 14*z**2 - 2*z**4 + 9*z**2 + 25*z**3 + 54*z**2 wrt z.
-48*z + 30
Let a(g) = 25*g**2 - 5*g - 235. Let y(o) = 73*o**2 - 13*o - 704. Let z(v) = 8*a(v) - 3*y(v). Differentiate z(n) wrt n.
-38*n - 1
Suppose 123*l = 119*l + 120. What is the first derivative of 14*i**3 - l - 16 - 4 wrt i?
42*i**2
Let z(y) be the third derivative of y**5/60 + y**4/4 + y**3/3 - 3*y**2. Let m be z(-6). Find the first derivative of 0*n**2 - 3 + 3*n**2 + n**m - 6*n**2 wrt n.
-4*n
Let q be 8109/12 - (35/(-20))/7. What is the second derivative of 11*u**3 + q*u + 24*u**3 - 686*u wrt u?
210*u
Suppose -55 = -6*c + c + 5*z, -3*z - 44 = -4*c. What is the first derivative of -c*t**2 + 16 - 636*t + 636*t wrt t?
-22*t
Let t(w) = -w**2 - 3*w + 4. Let d = 6 + -9. Let s be t(d). Find the second derivative of 60 - 60 - 8*f - s*f**2 wrt f.
-8
Let i be 18/(-4)*(-15 - -13). Differentiate -6 + 6*s**3 + 6*s**3 + i wrt s.
36*s**2
Let n(q) = 79*q - 308. Let y(a) = 84*a - 306. Let z(o) = 4*n(o) - 3*y(o). Find the first derivative of z(x) wrt x.
64
Let k(o) be the first derivative of 4*o**5/5 + o**3 + 7*o - 10. Let d(v) be the first derivative of k(v). What is the second derivative of d(c) wrt c?
96*c
Let m(o) = -2*o**4 - 1. Let v(r) = 188*r**4 - r**2 + 612. Let t(z) = 2*m(z) - v(z). Differentiate t(j) with respect to j.
-768*j**3 + 2*j
What is the third derivative of -457*j**2 - 74 + 579*j**3 - 177*j**2 - 215*j**3 + 74 wrt j?
2184
Let k(u) be the first derivative of -2*u**3/3 + 13*u**2 - 303*u - 301. What is the first derivative of k(c) wrt c?
-4*c + 26
Let t(c) = -c**3 + 10*c**2 + 12*c + 6. Suppose -6*y = -4*y - 22. Let a be t(y). Find the second derivative of -4*u + 2*u + 17*u**3 - a*u**3 + u**5 wrt u.
20*u**3
Find the second derivative of -568*l - 402*l - 360*l**4 + 1172*l wrt l.
-4320*l**2
Let o(m) be the first derivative of m**3 + 33*m**2/2 + 287*m + 195. What is the first derivative of o(c) wrt c?
6*c + 33
Let y = 37 + -36. Let s(n) = n**4 + 6*n**2 + 6*n + 18. Let t(a) = -a**4 - a**2 - a + 1. Let g(q) = y*s(q) + 6*t(q). What is the derivative of g(b) wrt b?
-20*b**3
Let l(r) be the third derivative of -9*r**6/40 - 13*r**5/30 - r**3/3 - r**2 - 24*r. Find the third derivative of l(j) wrt j.
-162
Let y = 12 - 7. Suppose u + 24 = y*u. Find the third derivative of -u*h**3 - 4*h + h + 3*h - 5*h**2 wrt h.
-36
Let z = -13 + 16. Suppose 2*w + z*q = 0, -5*q - 4 = -w + 3*w. Find the third derivative
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 0*x**2 - x**2 + 3*x**2 - 4*x**2)*(0*x - 8*x + 8 - 9).
48*x**3 + 6*x**2
Expand (-3*v**2 + 5*v**2 - 3*v**2)*(7*v**3 - 5*v**3 + 2*v**3) + 70*v**3 - 70*v**3 - 9*v**5.
-13*v**5
Expand (3 - 6 - 5)*(m**3 - m**3 + 2*m**3)*(3 + 5*m - 3).
-80*m**4
Expand (17*w - 54*w + 23*w + w**2)*(2*w**2 + 0 + 0).
2*w**4 - 28*w**3
Expand (2 - 2 + 1)*(0*q**2 + 2*q**2 - 4*q**2) - 168606 + 168606 - 285*q**2.
-287*q**2
Expand -4*w**2 + 2*w - 6 + 1 + 3 + (6*w - 6*w + 4*w**2)*(-2 - 4 + 3).
-16*w**2 + 2*w - 2
Expand -4*v**3 + 7 - 8 - 2*v**5 - 3*v**3 - 2*v + (-64*v**2 + 6*v**3 + 64*v**2)*(4*v**2 - v**2 - 2*v**2) - 2*v**3 + 2*v**3 + 2*v**5.
6*v**5 - 7*v**3 - 2*v - 1
Expand (14 + 10 - 8)*(-126 + q + 126).
16*q
Expand (-26*r**2 - r**3 + 26*r**2)*(3 - 1 + 0)*(679 + 20*r - 679).
-40*r**4
Expand (11*l**2 + 0*l**2 - 3*l**2)*(-58 - 34*l + 58).
-272*l**3
Expand (p**2 + 2*p**5 - p**2)*(-6 - 94 - 5).
-210*p**5
Expand 0*a + a - 5*a**2 + 3*a**2 + (-a + 2*a - 3*a)*(68*a - 81*a - 243*a) - 2*a**2 + a**2 + 0*a**2.
509*a**2 + a
Expand (737*w + 389*w - 43*w)*(-5*w - w + 4*w - 1).
-2166*w**2 - 1083*w
Expand (-5 + 0 - 2)*(v - 5*v**3 + 2*v**4 + 3*v**3 - 3*v**4).
7*v**4 + 14*v**3 - 7*v
Expand (-16 + 17 - 2*b - 6*b)*(b**2 + 0*b**2 + b**2 - 4*b**2 + 4*b**2 - 2*b**2 + (7 + 1 - 1)*(b**2 + 3*b - 3*b)).
-56*b**3 + 7*b**2
Expand (k - 4*k + 2*k + (2 + 1 - 2)*(1 - 1 - k))*(-3 + 70 + 5).
-144*k
Expand (-3*h**3 - h**3 + 2*h**3)*(3*h + 18 - 42 + 22) - 7*h**2 - 3*h**4 + 7*h**2.
-9*h**4 + 4*h**3
Expand (-10*p**2 + 23*p**2 - 10*p**2)*(12*p**2 - 4*p + 0*p**2 + 6*p).
36*p**4 + 6*p**3
Expand (0 - s**2 + 0 + (5 + 2 - 1)*(-s**2 + s**2 - 2*s**2) - 4*s**2 + 0*s**2 - s**2)*(-4 + 1 + 4).
-18*s**2
Expand (-b**2 + 0*b**2 + 2*b**2)*(-67 - 6 + 2*b + 4*b).
6*b**3 - 73*b**2
Expand -4*y**5 + 3*y**5 - y**5 + 7*y**5 - 4*y**5 + 2*y**5 + (2*y**3 - 4*y**2 + 4*y**2)*(0 + 0 + 2*y**2) + 6*y**5 - 7*y**5 + 18*y**5 - y**4 + y**4 + 2*y**5.
26*y**5
Expand (-13 + 13 + 8*i**2)*(1 - 1 - 2 - 2*i**3) - 6*i**5 - 2*i**5 - 4*i**5 + (-i**2 + i**2 - 2*i**2)*(-2*i**3 - i**3 + i**3).
-24*i**5 - 16*i**2
Expand (2 - 1 - 2)*(-3*m - 2*m + 3*m) + 291 + 7*m - 291 + (3*m + 2*m - 3*m)*(-1 + 0 - 1) - 4*m + 0*m + 2*m.
3*m
Expand (x**3 + 6*x - 6*x)*(5*x + 0*x - 4*x) - 5*x**4 - 3 + 3 - 3*x**4 + x**4 + 4*x**4 + (-x**2 - 3 + 3)*(x**2 - 2*x**2 + 2*x**2).
-3*x**4
Expand (-156*q**3 + 4052*q**2 - 4052*q**2)*((q + 1 - 1)*(-3 + 2 - 1) + q - 3*q + q).
468*q**4
Expand (-96 + 45 - 18*o + 45)*(o - 2*o**4 - o).
36*o**5 + 12*o**4
Expand (2*v + 2*v - 3*v)*(-80*v - 183*v - 55*v - 109*v).
-427*v**2
Expand (w + w + 5*w)*(-224 - 157 + 113 - 71 - 14).
-2471*w
Expand (2 + m - 2 - 3*m - 4*m + 6*m + 0*m + 4*m - 6*m + (1 - 3*m - 1)*(-2 + 4 + 0) + m - 3*m + 3*m)*(4 - 4 + 3).
-21*m
Expand (-2 + 1 + 2)*(-3*x + 3*x + 13*x) + 2 - 2 - 10*x.
3*x
Expand (14 + 15 - 10)*(-26*v**4 + 17*v - 17*v).
-494*v**4
Expand (-20 + 206 + 46)*(0*j**2 + 4*j**2 - 17*j**2)*(j**2 + 0 + 0).
-3016*j**4
Expand (-2 + 2 + 2*c**3)*(0*c - 16*c - c) + 0*c**4 + c**4 + c**4 + 201*c - 201*c - 16*c**4.
-48*c**4
Expand -i - i + 0*i + (0 - 3 + 4)*(1 + i - 1) - 3*i - 2*i + 3*i + 1 - 1 - 3*i + 41*i - 27*i - 22*i.
-14*i
Expand 6*p**3 + 9 - 8 + 2*p**2 + 0*p**2 + (2*p - 2*p + p**2)*(12*p + 26 - 26).
18*p**3 + 2*p**2 + 1
Expand (-z + 1 - 1)*(-604 - 165 + 214).
555*z
Expand (4 - 6 + 4 + (3 + 4 - 2)*(-1 + 3 + 0) + (4 - 3 - 2)*(2 + 3 - 6))*(7*h**2 + 0*h**2 + 31*h**5 - 5*h**2).
403*h**5 + 26*h**2
Expand 3*w - 1 + 1 + 0*w - 3*w + 2*w + (4 - 3 + 0)*(0*w + 0*w + 2*w) + 50 + 67 + 3*w - 100.
7*w + 17
Expand ((c**2 + 2*c**2 - 2*c**2)*(-8 + 9 + 11) + c - 2*c**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
h(z) = 9*z - 3. What is the tens digit of h(f)?
1
Let y = -32 - -57. What is the tens digit of y?
2
Let m = -10 + 12. Suppose -m*f - 2*f = -24. What is the units digit of f?
6
Suppose 482 + 173 = 5*m. What is the hundreds digit of m?
1
Let o = -4 + 12. Let c = o + -5. What is the units digit of c?
3
Suppose 0*f - f = 6. Let s be (-21 + f/(-3))/(-1). Suppose 5*t - 21 = s. What is the units digit of t?
8
Let d = 61 + -33. What is the units digit of d?
8
Let n(p) = p**2 - p + 1. Let c be n(2). Suppose c*m - 3 = 3. Suppose m*w - 12 = -w. What is the units digit of w?
4
What is the tens digit of (-2)/8 - (-205)/20?
1
Suppose -3*g + 3 = 0, 4*s = 3*s + 4*g + 6. What is the units digit of s*2/(-8)*-2?
5
Suppose -592 = 4*p - 12*p. What is the units digit of p?
4
Suppose 6*b - 10 = -5*o + 3*b, o - 4 = -b. Let x be 66/(-8) - o/4. Let k = x + 13. What is the units digit of k?
5
Let h(z) = -3*z - 6. Let a be h(-5). Suppose -5*y - a = -8*y. Suppose 2*l - y = 3. What is the units digit of l?
3
Suppose 7*o = -o + 336. What is the tens digit of o?
4
Suppose -5*j = -16 + 1. Suppose 26 + 0 = 5*b + 3*g, -b + 10 = j*g. Suppose 5*v = 25, -2*v = 2*f - b*v - 14. What is the tens digit of f?
1
Let j(q) = q**2 - 3*q + 32. What is the tens digit of j(0)?
3
Let w(a) = a**3 + 9*a**2 + 8*a + 12. Let v be w(-8). Let i = 21 - v. What is the units digit of i?
9
Let x be 0 + (-6)/9*-3. Suppose -x*b - 7 = -b. Let g(k) = -k**3 - 7*k**2 + 2. What is the units digit of g(b)?
2
Suppose 0 = f + 5*n + 2 - 7, 2*f - 2*n + 2 = 0. Suppose -3*s + f*s + 27 = 0. Let u = -5 + s. What is the units digit of u?
4
Suppose 2*r + 2*r - 16 = 0, -5*g + 829 = r. What is the tens digit of g?
6
Let b be (1*3)/(12 - 11). Suppose v - b*i - 51 = -3*v, i = v - 14. What is the units digit of v?
9
Let a = -8 + 18. Suppose -5*g = -g - 2*k, -g + 3*k = a. Suppose -g*o + 12 = -o + 3*z, -2*o + z = -3. What is the units digit of o?
3
What is the hundreds digit of 236 + (0 - 4/(-1))?
2
Suppose -2*k + 5*j + 75 = 0, 2*j - 9 = 1. What is the tens digit of k?
5
Let f be 6/(-4)*-2*-1. Let j be 5/(-2) - f/6. What is the units digit of (j/(-3))/((-4)/(-42))?
7
Suppose 4*a + 3*c - 197 - 134 = 0, -5*a = -2*c - 408. Let q = a - 22. Suppose -3*o + q = 2*o. What is the units digit of o?
2
Let d(c) = -7*c + 4. What is the tens digit of d(-7)?
5
Let l(v) = -8*v**3 - 4*v**2 - 2*v - 5. What is the tens digit of l(-2)?
4
Let c be 2/6 - 707/(-21). Let g = c + -21. What is the tens digit of g?
1
Suppose -5*r = -4*b - 0*b - 83, -3*b = -5*r + 81. What is the units digit of 80/r + 2/(-6)?
5
Suppose 0 = -6*f + f + 20. Let z = 25 + -15. What is the units digit of (f/z)/(4/10)?
1
Suppose -5*b + 17 = -k, -3*k - 2*k + 5*b = 5. What is the units digit of k?
3
Suppose 0 = 6*n - n - 10. Let s = 3 + n. Suppose 0 = s*b - 0*m + 2*m - 40, b - 8 = 3*m. What is the units digit of b?
8
Let f = 350 + -199. What is the hundreds digit of f?
1
Let w(d) = 2*d - 12. Let b(o) = -1. Let f(m) = 4*b(m) - w(m). What is the tens digit of f(-6)?
2
Let m(b) = -b**3 - 7*b**2 + 13*b + 8. What is the tens digit of m(-9)?
5
Suppose 0 = -5*u - 5, 3*f - 3*u - 8 = 2*f. What is the tens digit of 177/f + 2/(-5)?
3
Let z(l) = -l**3 + l + 108. What is the hundreds digit of z(0)?
1
Let m(z) = -8*z - 8. What is the tens digit of m(-5)?
3
Let c be 3906/(-66) - 4/(-22). Let b = c - -87. What is the tens digit of b?
2
Let g be (2/4)/((-3)/(-6)). Let u be 18/30*5/g. Suppose -u*k + 22 - 4 = 0. What is the units digit of k?
6
Let j(g) be the third derivative of 0 + 2/3*g**3 - 4*g**2 + 0*g + 1/24*g**4. What is the units digit of j(-3)?
1
Let r be 94/12 - (-2)/12. Let p(l) be the first derivative of l**3/3 - 7*l**2/2 - 3*l + 7. What is the units digit of p(r)?
5
What is the tens digit of (-4)/(-2) + (3 - -25)?
3
Let f(r) = -r**2 - 2*r + 2. Let g be f(-3). Let u = 3 + g. What is the units digit of u?
2
Let m(u) = u**3 - 6*u + 2. Let d be m(4). Suppose -30 - 22 = -s + 5*n, -s - 5*n + d = 0. What is the tens digit of s?
4
Let y(n) = 3 + 11*n - 2*n - 4*n**2 + 6*n**2. Let m(h) = 2*h + 8. Let s be m(-7). What is the tens digit of y(s)?
2
Suppose z + 3 = 2*z. Suppose 2*a + 3*a - z*t = 15, -a - 2*t = -16. What is the units digit of a?
6
Let b(p) = -16*p - 2. Let a be b(3). Let c be (2 - -2)*a/4. What is the units digit of -2*(c/(-4))/(-5)?
5
Let v(a) = a**2 - 8*a + 7. Let n be v(9). Suppose -3*t + n + 26 = -2*w, 3*t - 42 = 4*w. What is the units digit of t?
4
Let q(u) = u**3 + 11*u**2 - 14*u - 5. What is the tens digit of q(-12)?
1
Let d(w) = -w**3 - 9*w**2 - w + 6. Suppose 5*k + f = 44, k +
|
{
"pile_set_name": "DM Mathematics"
}
|
s digit of 440248?
4
What is the hundreds digit of 939105?
1
What is the units digit of 9564496?
6
What is the units digit of 928893?
3
What is the thousands digit of 8528896?
8
What is the ten thousands digit of 759667?
5
What is the thousands digit of 4363363?
3
What is the hundreds digit of 13224359?
3
What is the thousands digit of 2158661?
8
What is the hundred thousands digit of 801220?
8
What is the hundred thousands digit of 814624?
8
What is the hundred thousands digit of 24504696?
5
What is the tens digit of 562191?
9
What is the thousands digit of 94289?
4
What is the tens digit of 525648?
4
What is the ten thousands digit of 147109?
4
What is the tens digit of 282679?
7
What is the tens digit of 163798?
9
What is the hundreds digit of 1904368?
3
What is the hundreds digit of 8194217?
2
What is the ten thousands digit of 79020?
7
What is the tens digit of 407092?
9
What is the ten thousands digit of 48380?
4
What is the thousands digit of 8818982?
8
What is the ten thousands digit of 158680?
5
What is the units digit of 491420?
0
What is the thousands digit of 706333?
6
What is the hundreds digit of 705422?
4
What is the ten thousands digit of 9709475?
0
What is the units digit of 442191?
1
What is the thousands digit of 9001895?
1
What is the millions digit of 1064852?
1
What is the units digit of 14658854?
4
What is the thousands digit of 150810?
0
What is the units digit of 189007?
7
What is the ten thousands digit of 511698?
1
What is the ten thousands digit of 18002768?
0
What is the ten thousands digit of 339495?
3
What is the units digit of 506364?
4
What is the hundreds digit of 38090?
0
What is the units digit of 1886694?
4
What is the ten millions digit of 11490791?
1
What is the tens digit of 53081?
8
What is the units digit of 259456?
6
What is the ten thousands digit of 907368?
0
What is the hundreds digit of 90653?
6
What is the ten thousands digit of 5945182?
4
What is the tens digit of 1262673?
7
What is the hundreds digit of 7942382?
3
What is the ten thousands digit of 11139567?
3
What is the ten thousands digit of 536748?
3
What is the units digit of 624292?
2
What is the thousands digit of 15943788?
3
What is the ten thousands digit of 17651472?
5
What is the ten millions digit of 11406484?
1
What is the thousands digit of 401338?
1
What is the millions digit of 1808645?
1
What is the hundreds digit of 2633723?
7
What is the hundreds digit of 236265?
2
What is the ten millions digit of 11313499?
1
What is the ten thousands digit of 2363248?
6
What is the hundreds digit of 157475?
4
What is the units digit of 2380034?
4
What is the hundred thousands digit of 652567?
6
What is the hundreds digit of 704526?
5
What is the hundreds digit of 5891946?
9
What is the hundred thousands digit of 193277?
1
What is the tens digit of 7252398?
9
What is the tens digit of 11877392?
9
What is the units digit of 4689164?
4
What is the hundreds digit of 211798?
7
What is the tens digit of 641201?
0
What is the hundreds digit of 38823809?
8
What is the hundreds digit of 222405?
4
What is the hundreds digit of 15982352?
3
What is the units digit of 4099804?
4
What is the ten millions digit of 10708921?
1
What is the units digit of 4424?
4
What is the ten thousands digit of 3909905?
0
What is the tens digit of 356460?
6
What is the ten thousands digit of 304070?
0
What is the millions digit of 1731791?
1
What is the units digit of 55824?
4
What is the tens digit of 97184?
8
What is the units digit of 876548?
8
What is the ten thousands digit of 14321963?
2
What is the hundreds digit of 1329412?
4
What is the tens digit of 253388?
8
What is the thousands digit of 191430?
1
What is the ten thousands digit of 3577254?
7
What is the hundred thousands digit of 112977?
1
What is the hundreds digit of 1954049?
0
What is the hundreds digit of 131513?
5
What is the hundreds digit of 5323?
3
What is the hundreds digit of 5328270?
2
What is the units digit of 260116?
6
What is the tens digit of 217614?
1
What is the ten thousands digit of 1213347?
1
What is the units digit of 20862936?
6
What is the hundreds digit of 46307?
3
What is the tens digit of 1560328?
2
What is the units digit of 114279?
9
What is the hundred thousands digit of 179260?
1
What is the hundred thousands digit of 545538?
5
What is the hundreds digit of 80517?
5
What is the units digit of 467777?
7
What is the hundreds digit of 495866?
8
What is the hundreds digit of 24603892?
8
What is the units digit of 564313?
3
What is the tens digit of 124346?
4
What is the units digit of 9218939?
9
What is the thousands digit of 1712990?
2
What is the ten thousands digit of 214309?
1
What is the thousands digit of 649270?
9
What is the units digit of 3763766?
6
What is the hundred thousands digit of 2275887?
2
What is the thousands digit of 42052?
2
What is the millions digit of 4061123?
4
What is the hundred thousands digit of 836789?
8
What is the hundreds digit of 14826351?
3
What is the thousands digit of 230417?
0
What is the hundreds digit of 2667272?
2
What is the hundred thousands digit of 10675261?
6
What is the ten thousands digit of 516883?
1
What is the units digit of 2458964?
4
What is the hundreds digit of 497234?
2
What is the units digit of 839894?
4
What is the tens digit of 1084551?
5
What is the hundred thousands digit of 36662749?
6
What is the tens digit of 12683197?
9
What is the thousands digit of 1952142?
2
What is the millions digit of 1818707?
1
What is the hundred thousands digit of 2261572?
2
What is the units digit of 23435385?
5
What is the ten thousands digit of 473865?
7
What is the millions digit of 1767580?
1
What is the hundred thousands digit of 1705955?
7
What is the units digit of 136448?
8
What is the tens digit of 793677?
7
What is the tens digit of 2958397?
9
What is the tens digit of 120923?
2
What is the ten thousands digit of 14901486?
0
What is the thousands digit of 2317655?
7
What is the tens digit of 343400?
0
What is the thousands digit of 5556424?
6
What is the hundred thousands digit of 2461607?
4
What is the hundred thousands digit of 297191?
2
What is the hundreds digit of 18887657?
6
What is the ten thousands digit of 2211104?
1
What is the hundred thousands digit of 10192815?
1
What is the ten thousands digit of 433861?
3
What is the hundreds digit of 207661?
6
What is the tens digit of 2543717?
1
What is the hundreds digit of 46967?
9
What is the tens digit of 5045380?
8
What is the tens digit of 51721?
2
What is the ten millions digit
|
{
"pile_set_name": "DM Mathematics"
}
|
3 wrt l.
312*l - 8
Let h be (-9)/(-6 + 9) - -5. What is the second derivative of 22*f**2 + 14*f**h + 74*f - 24*f**2 wrt f?
24
Find the third derivative of -147*i**2 - 229*i**2 - 12*i**5 + 3*i**6 - 509*i**5 - 77*i**5 wrt i.
360*i**3 - 35880*i**2
Suppose -o = 11*o - 72. Let m = o + -1. What is the second derivative of 62*r - 26*r - 14*r**m - 34*r wrt r?
-280*r**3
Let y(j) = -3059*j**3 - 164*j**2 + 9. Let d(m) = -1530*m**3 - 80*m**2 - m + 4. Let v(c) = -13*d(c) + 6*y(c). Find the third derivative of v(q) wrt q.
9216
Let u = -48 + 67. What is the first derivative of -u*g + 52 - 2*g - 3*g - g wrt g?
-25
Let l(f) be the third derivative of 0*f**3 + 0*f + 71/24*f**4 - 21*f**2 + 5/4*f**5 + 0. Find the second derivative of l(d) wrt d.
150
Find the second derivative of 4 - 97*p**3 + 36*p - 5 + 102*p**3 + 13*p**5 + 62*p wrt p.
260*p**3 + 30*p
Let m(n) be the first derivative of 2*n**5/5 - 149*n**4 - 73*n**3/3 - 2*n**2 - 732. Find the third derivative of m(f) wrt f.
48*f - 3576
Let v(o) be the first derivative of 10*o**6 - o**4/4 - 239*o**2 - 41. Find the second derivative of v(w) wrt w.
1200*w**3 - 6*w
Suppose 3*t + 4*x - 238 = 0, 4*t = -0*x + 5*x + 369. Differentiate -90 - 54*g - t + 167 wrt g.
-54
Let t(g) be the second derivative of 9*g**5/20 + 8*g**4/3 + 287*g**3/3 + 512*g. Find the second derivative of t(b) wrt b.
54*b + 64
Differentiate -7703 + 160*m**2 - 13*m - 6746 + 4342 wrt m.
320*m - 13
Let l(x) = -x**2 + 12*x - 30. Let a be l(8). What is the third derivative of -23*q**3 - 28*q**2 - a*q**5 + 10*q**2 + 4 + 7*q**2 wrt q?
-120*q**2 - 138
Let t(u) be the third derivative of -241*u**6/20 - 2719*u**3/2 - 3*u**2 + 2131. Find the first derivative of t(f) wrt f.
-4338*f**2
Let v be 10/4*16/4. Suppose -v*d + 7*d = 0. What is the third derivative of -3*g**3 + 5*g**2 + d*g**3 + 3*g**3 + 16*g**3 wrt g?
96
What is the second derivative of -290*y**5 + 2*y**2 + 95*y**5 - 403*y + 136*y**5 + 183*y**5 wrt y?
2480*y**3 + 4
Let r(n) be the first derivative of 0*n**4 + 0*n**2 - 101*n + 0*n**3 + 61/5*n**5 - 72. What is the derivative of r(q) wrt q?
244*q**3
Let h(r) be the second derivative of 67*r**4/2 + r**3/3 + 4779*r**2/2 + 4658*r. Find the second derivative of h(x) wrt x.
804
Let z(d) = -d**3 - d**2 - d + 5. Let x(y) = -81*y**4 - 2*y**3 + 807*y**2 - 2*y + 10. Let k(o) = -2*x(o) + 4*z(o). Find the third derivative of k(h) wrt h.
3888*h
Let i(f) be the first derivative of -3*f**7/7 - f**6/2 - 7*f**5/5 + 10*f**3/3 - 3*f**2/2 - 12*f - 563. Find the third derivative of i(g) wrt g.
-360*g**3 - 180*g**2 - 168*g
What is the second derivative of -166*m + 38 + 92*m + 1569*m**2 + 66*m wrt m?
3138
Let k(q) be the first derivative of -4*q**5/5 + 1993*q**3/3 - 13939*q + 4989. Differentiate k(j) with respect to j.
-16*j**3 + 3986*j
Let p(s) = -25*s + 31. Let q = -2 - 9. Let n be p(q). Find the third derivative of -t**4 - n*t**2 + 330*t**2 + 5*t**4 wrt t.
96*t
Let d(g) = 0 - 6*g**2 + 6 + 5*g**2. Let a be d(0). Find the third derivative of -9*j**2 + 7*j**3 - 6*j**2 - a*j**2 + 12*j**2 wrt j.
42
Let z(n) = 2681*n**3 - 529*n**2 - 5*n - 4. Let k(q) = 10*q**3 + 2*q**2 - q + 1. Let a(j) = 5*k(j) - z(j). What is the third derivative of a(d) wrt d?
-15786
Differentiate 0*q**3 + 451 + 0*q**3 - 22*q**2 - 48*q**2 + 350*q**4 - 357*q**4 with respect to q.
-28*q**3 - 140*q
Suppose 0 = 2*d + 2*g - 4658 + 76, -4*d = 3*g - 9166. Find the third derivative of 88*r**3 - d*r + 2293*r - 16*r**2 wrt r.
528
Find the second derivative of -108 - 37*l + 58 - 297*l**2 + 60 - 2058*l**2 wrt l.
-4710
What is the third derivative of r**2 - 368 - 770*r**3 - 780*r**3 - 547*r**5 + 1553*r**3 wrt r?
-32820*r**2 + 18
Let u(w) be the first derivative of -4052*w**3/3 + 7070*w - 4778. What is the first derivative of u(j) wrt j?
-8104*j
Let p be 21/9 - 1/3. Suppose -24*z + 20 = -14*z. Find the second derivative of 9*m**2 - 9*m - 6*m**p - 4*m**z wrt m.
-2
Let z be (-78)/(-3) - (-1 + 8). Let u = -25 - -37. Find the third derivative of -22*f**2 + 3*f**5 - u*f**5 - z*f**2 - f**5 wrt f.
-600*f**2
Let k = -33 + 16. Let w = 22 + k. What is the third derivative of -3*s**2 - 3*s**2 + 9*s**w + 37*s - 37*s wrt s?
540*s**2
Let x be (-111)/(-15) - (1 - 16/10). Suppose x*p + 6 = 11*p. Differentiate p - 1 - 5 + 24*b**4 + 3 with respect to b.
96*b**3
Let z(c) be the second derivative of c + 0*c**2 + 0*c**3 + 1/20*c**5 - 8 - 17/30*c**6 - 5/2*c**4. What is the third derivative of z(i) wrt i?
-408*i + 6
Let j(l) be
|
{
"pile_set_name": "DM Mathematics"
}
|
cking 1 e and 1 f when two letters picked without replacement from ekfkfkekbbebebeekkf.
2/19
Calculate prob of picking 1 r and 1 h when two letters picked without replacement from rghrggr.
1/7
Calculate prob of picking 1 i and 1 f when two letters picked without replacement from {i: 4, b: 2, f: 2}.
2/7
What is prob of picking 2 x when two letters picked without replacement from xxxxxxxxxxpxxxxpxxx?
136/171
What is prob of picking 2 r when two letters picked without replacement from {s: 2, e: 1, r: 8, d: 5}?
7/30
Four letters picked without replacement from pyyyyyp. Give prob of picking 4 y.
1/7
What is prob of picking 3 g and 1 c when four letters picked without replacement from {g: 3, c: 5, p: 2, v: 1, a: 8}?
5/3876
Two letters picked without replacement from zggvvuvvs. Give prob of picking 1 u and 1 v.
1/9
Three letters picked without replacement from tttpttrtttttrttrttrr. Give prob of picking 1 p and 2 t.
91/1140
Four letters picked without replacement from qqqrrq. Give prob of picking 2 q and 2 r.
2/5
Four letters picked without replacement from {t: 6}. What is prob of picking 4 t?
1
Two letters picked without replacement from {p: 4, h: 1, x: 1, i: 1, q: 1}. Give prob of picking 1 i and 1 x.
1/28
Calculate prob of picking 1 c, 2 g, and 1 a when four letters picked without replacement from ecgcaacceg.
4/105
Two letters picked without replacement from ooooo. Give prob of picking 2 o.
1
Four letters picked without replacement from hhlhhhlhhhhqlglqhq. Give prob of picking 1 g and 3 h.
2/51
Two letters picked without replacement from xxeexxvhxjjehxxekxk. What is prob of picking 1 x and 1 j?
16/171
What is prob of picking 2 n, 1 z, and 1 a when four letters picked without replacement from {z: 5, e: 2, n: 3, j: 3, a: 7}?
7/323
What is prob of picking 2 i when two letters picked without replacement from zizifziiiiiiz?
14/39
What is prob of picking 1 p and 2 w when three letters picked without replacement from {p: 4, r: 1, j: 4, w: 7, v: 4}?
7/95
Calculate prob of picking 4 w when four letters picked without replacement from {x: 7, w: 7}.
5/143
Two letters picked without replacement from {o: 1, v: 1, w: 1, q: 7, t: 1, p: 9}. Give prob of picking 1 t and 1 w.
1/190
What is prob of picking 1 s, 1 r, and 1 h when three letters picked without replacement from {h: 1, x: 3, f: 3, b: 3, r: 3, s: 1}?
3/364
Calculate prob of picking 2 x when two letters picked without replacement from xqxqxxxxqx.
7/15
Four letters picked without replacement from {q: 1, i: 2, e: 1, m: 2}. Give prob of picking 1 q and 3 i.
0
Three letters picked without replacement from {l: 1, e: 11, z: 2, s: 1, a: 3}. What is prob of picking 2 a and 1 l?
1/272
What is prob of picking 2 r and 1 b when three letters picked without replacement from {b: 4, q: 5, r: 2}?
4/165
What is prob of picking 2 m when two letters picked without replacement from mmmtmmmxttemmmmmeemt?
33/95
What is prob of picking 2 q when two letters picked without replacement from {v: 1, t: 1, q: 2, w: 1, u: 1, a: 1}?
1/21
Three letters picked without replacement from koxcxxcxxc. Give prob of picking 2 c and 1 o.
1/40
What is prob of picking 2 e when two letters picked without replacement from eeeeqeq?
10/21
What is prob of picking 2 f when two letters picked without replacement from {f: 3, n: 1, l: 4, g: 8, k: 3}?
1/57
Three letters picked without replacement from mampmmmpop. Give prob of picking 3 p.
1/120
What is prob of picking 4 e when four letters picked without replacement from neeeenee?
3/14
What is prob of picking 1 z and 1 e when two letters picked without replacement from {b: 1, a: 2, j: 1, e: 4, z: 2, c: 2}?
4/33
Calculate prob of picking 1 j and 1 r when two letters picked without replacement from {r: 5, j: 2}.
10/21
Two letters picked without replacement from eecccbcjjcce. What is prob of picking 2 e?
1/22
Three letters picked without replacement from {i: 5, t: 11, z: 1}. Give prob of picking 3 t.
33/136
What is prob of picking 2 l and 1 c when three letters picked without replacement from {b: 6, l: 4, d: 2, v: 4, c: 1}?
3/340
Four letters picked without replacement from {s: 10, z: 2}. What is prob of picking 1 z and 3 s?
16/33
Three letters picked without replacement from qcoaccwwwoqqoxwwacoc. What is prob of picking 1 w, 1 a, and 1 c?
5/114
Four letters picked without replacement from dwkkdwkddddkwkw. Give prob of picking 2 w and 2 k.
4/91
What is prob of picking 2 o and 1 n when three letters picked without replacement from oooxoonxn?
5/21
Two letters picked without replacement from rrjerjreejrerrrj. What is prob of picking 1 e and 1 r?
4/15
Calculate prob of picking 1 z and 3 e when four letters picked without replacement from ezezzz.
0
Four letters picked without replacement from {s: 1, x: 1, u: 4, n: 1, m: 1}. What is prob of picking 1 s, 2 u, and 1 n?
3/35
Two letters picked without replacement from {m: 3, h: 3, e: 3, k: 3, b: 2}. Give prob of picking 1 h and 1 k.
9/91
Calculate prob of picking 2 b when two letters picked without replacement from {b: 16, y: 2}.
40/51
Four letters picked without replacement from qhahqnqhhfh. What is prob of picking 1 q and 3 h?
1/11
What is prob of picking 2 p when two letters picked without replacement from pcplcl?
1/15
Calculate prob of picking 1 f and 1 h when two letters picked without replacement from fhhhfffffffffhfffffh.
15/38
Two letters picked without replacement from vxrttxaaatx. Give prob of picking 1 x and 1 v.
3/55
Four letters picked without replacement from {n: 3, p: 3, f: 6, s: 6}. Give prob of picking 1 n and 3 f.
1/51
Four letters picked without replacement from {k: 15, b: 2, c: 3}. What is prob of picking 1 b and 3 k?
182/969
Calculate prob of picking 1 y and 2 e when three letters picked without replacement from {u: 1, e: 5, v: 4, y: 5}.
10/91
What is prob of picking 1 t and 1 d when two letters picked without replacement from {d: 4, l: 2, k: 1, t: 6}?
4/13
What is prob of picking 4 g when four letters picked without replacement from {g: 7, r: 12}?
35/3876
Three letters picked without replacement from aypvqzq. What is prob of picking 1 q, 1 p, and 1 a?
2/35
Four letters picked without replacement from {o: 4, n: 3, j: 1, u: 2, x: 7}. Give prob of picking 2 x and 2 u.
3/340
What is prob of picking 3 w and 1 y when four letters picked without replacement from {w: 5, y: 2, n: 2}?
10/63
What is prob of picking 2 y when two letters picked without replacement from {y: 2, m: 3, v: 4}?
1/36
Four letters picked without replacement from lgsvsklsklf. What is prob of picking 1 k, 2 s, and 1 l?
3/55
What is prob of picking 1 o and 1 l when two
|
{
"pile_set_name": "DM Mathematics"
}
|
tor of 576?
True
Is 77 a factor of 8164?
False
Is 16151 a multiple of 15?
False
Does 12 divide 1032?
True
Does 274 divide 42750?
False
Does 2 divide 1067?
False
Does 29 divide 17226?
True
Is 8902 a multiple of 13?
False
Is 3412 a multiple of 8?
False
Is 363 a factor of 17529?
False
Is 38 a factor of 304?
True
Is 47 a factor of 307?
False
Is 7 a factor of 518?
True
Is 81 a factor of 15524?
False
Is 245 a multiple of 36?
False
Is 2 a factor of 268?
True
Is 159 a factor of 17430?
False
Is 42 a factor of 924?
True
Is 10318 a multiple of 22?
True
Is 9252 a multiple of 8?
False
Does 33 divide 1015?
False
Is 116 a multiple of 7?
False
Is 28 a factor of 12461?
False
Does 16 divide 14753?
False
Does 39 divide 4095?
True
Is 33 a factor of 912?
False
Does 2 divide 635?
False
Is 44 a factor of 4268?
True
Does 14 divide 7486?
False
Is 1491 a multiple of 21?
True
Is 640 a multiple of 40?
True
Does 12 divide 708?
True
Is 20056 a multiple of 8?
True
Is 5009 a multiple of 17?
False
Is 480 a multiple of 40?
True
Is 66 a factor of 487?
False
Is 59 a factor of 531?
True
Does 20 divide 280?
True
Is 14274 a multiple of 26?
True
Is 17 a factor of 3726?
False
Is 3618 a multiple of 27?
True
Is 15 a factor of 2085?
True
Does 9 divide 191?
False
Is 22 a factor of 77?
False
Does 3 divide 29?
False
Does 10 divide 11552?
False
Is 98 a factor of 141?
False
Does 8 divide 1488?
True
Does 228 divide 26155?
False
Does 82 divide 13844?
False
Is 19 a factor of 1843?
True
Does 4 divide 257?
False
Does 50 divide 7950?
True
Does 19 divide 60705?
True
Does 12 divide 795?
False
Does 128 divide 4224?
True
Is 22604 a multiple of 25?
False
Is 6 a factor of 846?
True
Does 3 divide 22?
False
Is 22 a factor of 22996?
False
Is 1512 a multiple of 21?
True
Is 26 a factor of 11752?
True
Is 52 a factor of 1612?
True
Is 21 a factor of 185?
False
Is 3020 a multiple of 10?
True
Is 22040 a multiple of 190?
True
Is 19428 a multiple of 95?
False
Is 2576 a multiple of 16?
True
Does 33 divide 1396?
False
Is 1728 a multiple of 25?
False
Does 4 divide 184?
True
Is 5 a factor of 180?
True
Does 119 divide 72590?
True
Is 87 a factor of 17191?
False
Is 46 a factor of 14453?
False
Does 3 divide 119?
False
Does 10 divide 500?
True
Is 236 a multiple of 15?
False
Is 5583 a multiple of 14?
False
Does 28 divide 3483?
False
Does 30 divide 673?
False
Is 80 a factor of 4277?
False
Does 15 divide 495?
True
Is 1632 a multiple of 17?
True
Is 3 a factor of 167?
False
Is 100065 a multiple of 146?
False
Is 8410 a multiple of 145?
True
Is 388 even?
True
Does 17 divide 6437?
False
Is 101353 a multiple of 85?
False
Is 4366 a multiple of 65?
False
Does 45 divide 1935?
True
Does 2 divide 155?
False
Is 4 a factor of 498?
False
Is 12395 a multiple of 93?
False
Is 291 a factor of 582?
True
Does 13 divide 533?
True
Is 6 a factor of 90?
True
Does 6 divide 693?
False
Is 109496 a multiple of 77?
False
Is 20 a factor of 320?
True
Is 6 a factor of 443?
False
Is 10701 a multiple of 123?
True
Does 148 divide 4944?
False
Is 1254 a multiple of 11?
True
Is 25 a factor of 650?
True
Is 1365 a multiple of 7?
True
Is 391 a multiple of 23?
True
Does 9 divide 14?
False
Is 153 a factor of 7038?
True
Is 5 a factor of 119?
False
Is 3 a factor of 327?
True
Is 3 a factor of 77?
False
Is 11001 a multiple of 20?
False
Does 9 divide 34443?
True
Is 3402 a multiple of 27?
True
Is 2264 a multiple of 35?
False
Does 14 divide 4942?
True
Does 26 divide 7332?
True
Does 69 divide 18461?
False
Is 242 a multiple of 11?
True
Is 6316 a multiple of 8?
False
Is 26 a factor of 365?
False
Is 7560 a multiple of 10?
True
Is 6 a factor of 114?
True
Is 108 a factor of 29916?
True
Is 7035 a multiple of 45?
False
Is 1396 a multiple of 244?
False
Is 4103 a multiple of 11?
True
Is 15 a factor of 775?
False
Does 115 divide 4255?
True
Is 3201 a multiple of 19?
False
Is 858 a multiple of 33?
True
Is 16 a factor of 3981?
False
Is 10 a factor of 330?
True
Does 19 divide 33820?
True
Is 20 a factor of 13540?
True
Is 7 a factor of 4370?
False
Does 5 divide 470?
True
Is 16302 a multiple of 11?
True
Is 19 a factor of 6786?
False
Does 5 divide 1835?
True
Is 92 a factor of 3444?
False
Is 6 a factor of 5568?
True
Is 70 a multiple of 4?
False
Does 7 divide 503?
False
Is 320 a multiple of 16?
True
Is 494 a multiple of 59?
False
Does 23 divide 253?
True
Is 11 a factor of 22473?
True
Is 27 a factor of 10970?
False
Does 3 divide 613?
False
Does 4 divide 2464?
True
Is 323 a multiple of 38?
False
Is 18 a factor of 41382?
True
Is 31213 a multiple of 26?
False
Is 456 a multiple of 38?
True
Is 44 a factor of 849?
False
Is 106766 a multiple of 23?
True
Is 18 a factor of 1168?
False
Is 2217 a multiple of 30?
False
Does 28 divide 3192?
True
Is 12206 a multiple of 60?
False
Is 132 a factor of 5016?
True
Is 8688 a multiple of 48?
True
Is 2 a factor of 92?
True
Is 22165 a multiple of 62?
False
Is 35 a factor of 1514?
False
Does 18 divide 5847?
False
Is 141 a factor of 33194?
False
Is 13 a factor of 1029?
False
Is 45 a factor of 585?
True
Does 13 divide 2314?
True
Is 19 a factor of 18867?
True
Is 42735 a multiple of 55?
True
Does 30 divide 407?
False
Is 744 a multiple of 37?
False
Does 10 divide 1058?
False
Is 149 a factor of 12069?
True
Is 1657 a multiple of 27?
False
Does 9 divide 27324?
True
Is 3564 a multiple of 54?
True
Is 11 a factor of 6589?
True
Is 11731 a multiple of 19?
False
Does 22 divide 1650?
True
Does 14 divide 2177?
False
Is 30092 a multiple of 58?
False
Is 1017 a multiple of 9?
True
Is 20 a factor of 820?
True
Is 100224 a multiple of 432?
True
Does 20 divide 70?
False
Does 7 divide 9956?
False
Does 13 divide 910?
True
Is 14 a factor of 495?
False
Does 112 divide 7402?
False
Is 13 a factor of 1274?
True
Is 1731 a multiple of 105?
False
Is 24 a factor of 580?
False
Is 73 a factor of 7736?
False
Is 22 a factor of 3677?
False
Is 1365 a multiple of 7?
True
Is 1065 a multiple of 17?
False
Is 2917 a multiple of 12?
False
Is 1150 a
|
{
"pile_set_name": "DM Mathematics"
}
|
5c9b (base 13) in base 6?
-13244124
-ee1e4 (base 15) to base 8
-2705327
Convert 126413 (base 9) to base 11.
52842
-95a41b (base 12) to base 5
-1101023142
Convert 220514 (base 7) to base 5.
2214142
7763522 (base 9) to base 6
225254332
Convert -2200112201010 (base 3) to base 14.
-29252a
56ac0 (base 14) to base 12
a1b00
3162022 (base 7) to base 5
44303422
2141999 (base 10) to base 9
4024238
What is 4a5944 (base 14) in base 7?
30453214
What is 146c20 (base 13) in base 9?
842834
1001102011222 (base 3) to base 2
10001000100010101101
1300413 (base 9) to base 11
444697
What is -24a6a74 (base 11) in base 5?
-2102434023
Convert -6296564 (base 10) to base 2.
-11000000001001111110100
What is -353786 (base 9) in base 12?
-a3180
1d709 (base 14) to base 3
10211112011
-1300535 (base 6) to base 10
-70187
1242b6 (base 12) to base 11
193694
Convert 1101000111100100000 (base 2) to base 7.
3440140
What is -1521ba (base 14) in base 12?
-2b5948
Convert -25d02c (base 16) to base 11.
-1442940
227e5 (base 15) to base 16
1acde
What is 1432314 (base 9) in base 13?
2181ac
What is -371761 (base 9) in base 3?
-102101212001
-166400 (base 8) to base 7
-341613
42236 (base 12) to base 16
152ca
Convert 11010001010001011000101 (base 2) to base 8.
32121305
Convert -1000111100002 (base 3) to base 15.
-aa528
What is -40404523 (base 6) in base 2?
-100011001001110100011
-221300344 (base 5) to base 8
-3530047
Convert -11520311 (base 7) to base 14.
-1cb608
-118b1 (base 16) to base 14
-1c289
20114001 (base 6) to base 4
2023013101
Convert -10021221212 (base 3) to base 16.
-fd52
40107573 (base 8) to base 7
131420446
What is 14190 (base 13) in base 8?
111403
-501405 (base 8) to base 5
-20231423
What is -1c123 (base 16) in base 10?
-114979
Convert -1035112 (base 8) to base 5.
-32331231
-131222431 (base 5) to base 13
-19922c
What is -2150221 (base 7) in base 3?
-111102110001
-657d9a (base 14) to base 15
-47e7e6
What is 863439 (base 15) in base 8?
30300105
What is -12510064 (base 9) in base 10?
-6147715
What is 352211115 (base 6) in base 4?
120332313113
What is -39368b (base 12) in base 3?
-1202201102222
Convert -213232201 (base 4) to base 10.
-162721
Convert 77fcb (base 16) to base 12.
1b84b7
41534111 (base 6) to base 4
10213123123
Convert -1443213 (base 6) to base 10.
-83673
100011001010100110 (base 2) to base 10
144038
Convert 4364224 (base 7) to base 9.
1007447
323523 (base 8) to base 16
1a753
What is 530244 (base 8) in base 16?
2b0a4
What is 101100000010101110010 (base 2) in base 15?
1d7926
What is -2000020110120 (base 3) in base 13?
-2b4c19
What is -11001110000001100000011 (base 2) in base 11?
-38a1124
What is -12221311112 (base 4) in base 14?
-33590a
What is 332525045 (base 6) in base 12?
2020785
-1751442 (base 10) to base 7
-20613150
What is -5752070 (base 9) in base 6?
-150314230
What is 884786 (base 9) in base 15?
a6896
-100001110111001110 (base 2) to base 4
-201313032
-100233333222 (base 4) to base 13
-ba977a
What is -1100001111011010000 (base 2) in base 10?
-401104
What is 77014 (base 11) in base 14?
2ca71
Convert 25c7c (base 13) to base 6.
1301102
Convert 10001101000100000010110 (base 2) to base 9.
8624613
What is 50541353 (base 7) in base 3?
21220222121122
Convert 10a41b (base 12) to base 15.
5405b
3588013 (base 9) to base 16
1db8fc
What is 10242210 (base 6) in base 14?
7ba90
What is -478184 (base 9) in base 10?
-288112
What is -1340142 (base 6) in base 13?
-2831c
Convert -3446816 (base 10) to base 9.
-6433125
-133022031013 (base 4) to base 8
-37121507
-1109e9 (base 15) to base 2
-11000110010011010100
3174033 (base 8) to base 2
11001111100000011011
What is -20112110022111 (base 3) in base 8?
-15177441
-13314100 (base 5) to base 11
-92905
-220311241 (base 5) to base 14
-1a9528
Convert -b1bb5 (base 13) to base 16.
-4dba7
Convert 231222310 (base 4) to base 6.
4002004
-516624 (base 8) to base 6
-3401324
Convert -410762 (base 10) to base 16.
-6448a
Convert -202201110202222 (base 3) to base 8.
-52004017
-13112120200 (base 4) to base 12
-78ab94
Convert 28b5c (base 14) to base 7.
600345
What is -1010212212012 (base 3) in base 5?
-123423013
What is -224231222 (base 5) in base 6?
-33340040
364ab (base 13) to base 4
120111202
Convert -5cddd (base 15) to base 8.
-1103466
What is 2b8422 (base 16) in base 10?
2851874
Convert -451991 (base 11) to base 5.
-141014204
Convert 2344645 (base 7) to base 16.
4883e
Convert -1141020 (base 7) to base 4.
-203100201
Convert 100220020122 (base 3) to base 5.
22213242
Convert -13d985 (base 14) to base 12.
-293801
What is 10000010100101010 (base 2) in base 4?
100110222
What is 112011211112 (base 3) in base 12?
115612
Convert 110111202012 (base 3) to base 8.
740712
-18335 (base 10) to base 16
-479f
-1a5bbb (base 15) to base 9
-2367805
What is d8b4 (base 15) in base 9?
68787
Convert -17a84b (base 12) to base 3.
-202221210212
What is 1312312 (base 6) in base 2?
10001100010010100
Convert 4d00cd (base
|
{
"pile_set_name": "DM Mathematics"
}
|
e 5631*f - 5635*f + 16 = 0, -g = 42*f - 162 for g.
-6
Solve w + 2 = -2*n + 4*n + 1, 2*n - 592*w - 5 = -595*w for n.
1
Solve 5*u - 10 = -4*k, 0*u - 3*u + 1 = 2*u + k + 6 for u.
-2
Solve 269 = -8861*i + 8878*i + 3*s, -i - 2*s = -14 for i.
16
Solve -24*v + 5*k - 43 = -18*v, -7 = v - k for v.
-8
Solve -96*p = -100*p + 5*t - 7, -3*p - 4*t = 13 for p.
-3
Solve 11*o + 33 = o - o, -1 = -w + o + 2 for w.
0
Solve 5*w + 68 = u, -3*u = 4*w + 2191 - 2129 for w.
-14
Solve 0 = -5*y - 3*h - 15, 135*y = 139*y + 3*h + 18 for y.
3
Solve -2*k + 38*b - 29 = 1, 0*k + 4*k = 2*k + b + 7 for k.
4
Solve -7*k = -6*k, 21 = 5*g - 3*k + 9 - 27 - 1 for g.
8
Solve -41*h + 2*f + 434 + 818 = -7*h, 5*h - 14*f + 18*f - 197 = 0 for h.
37
Solve -1125*y + 1126*y - 25 = 2*l, -4 = -5*l - y for l.
-3
Solve 9*j + 3*p - 43 = -103, -j + 4 = -5*p for j.
-6
Solve -4*i + 4*m = 11917 - 11929, 3*m + 6 = 4*i for i.
-3
Solve 2*y + 16*l - 47 = 3*y - 3*l + 17*l, y + 10*l = 205 for y.
-5
Solve -302403*h = -302406*h - 10*r - 382, 4*h - 7*r = 243 for h.
-4
Solve 16 = t + 9*n, -13*n + 91658 - 91586 = -t for t.
-20
Solve 0 = i - 3*m + 43, 752*m - 394 = 8*i + 753*m for i.
-49
Solve -2*k + 5*r - 19564 = -k - 19534, 30 = 5*r for k.
0
Solve d - 42 = -42*v - 6*v, -3*d = 93*v - 89*v + 294 for d.
-102
Solve 2*n + 7*z - 9 = 12*z, -n - 3*z = -0*n - 21 for n.
12
Solve -2*l + 4*z + 7 + 19 = 6, -4*l - 92 = 36*z for l.
4
Solve 0 = k + d + 4*d + 3, 0 = 10*d + 11*d - 24*d + 3 for k.
-8
Solve 2*h + 23 = -2*h + 7, 12585*t - h = 12586*t + 20 for t.
-16
Solve -39 + 4 = -9*h + 4*o, -2*o = 189*h - 181*h - 20 for h.
3
Solve -7*q + 44 = 2*g, 10*q + 3*g - 21 = 7*q for q.
6
Solve 5*o - 6*b + b = -40, -83*b = 2*o - 82*b - 23 for o.
5
Solve 7*o - 33 = -2*c, -5*o = 1180*c - 1176*c - 39 for o.
3
Solve -829*m + 828*m + 615 = 17*v, -3*m - 135 = -4*v for m.
3
Solve -3*i = 3*g + 50 - 5, 0 = 4*g + 9*i - 20*i - 16*i + 153 for g.
-18
Solve 7*w - 43 = 2*z, -2*z + 17*w = 54*w - 38*w + 13 for z.
-4
Solve 7*m - 5*q = 17, -5*m + 1643*q + 45 = 1646*q for m.
6
Solve 0 = 1823*t - 1825*t - 4*i, -4*t - 5*i + 3 = -0*t for t.
2
Solve -192899*z = 2*o - 192902*z + 11, 4*z = 2*o + 16 for o.
2
Solve -652 = -2*h - 18*i - 646, 3*h - 3*i - 9 = 0 for h.
3
Solve -4*m + 2*d - 4 = 0, -140639*m + 12*d - 49 = -140640*m for m.
1
Solve n + 3*d = 1, 4*n - 15*d - 15 = -93 - 26 for n.
-11
Solve -46*c + 44*c + 202 = -f + 192, 0 = -3*f - 4*c + 20 for f.
0
Solve -3*b + 3 = 0, -5*c - 129*b = 242*b - 284*b + 3 for c.
-18
Solve 0 = -5*g + 2*o - 38, g + 14796 - 14810 = -5*o for g.
-6
Solve -u = -2*s - 104, -33*u - 2*s = -31*u - 0*s - 1265 + 1039 for u.
110
Solve -57*x = -14*y + 58 + 172, 6 + 16 - 24 = -x - 5*y - 48 for x.
-6
Solve 0 = d - 8*n + 45, 548*d + 548*d + 21 = 1095*d + 4*n for d.
3
Solve r = 102832*a - 102837*a - 278, -4*r - 2*a + 0*a = -3*a - 64 for r.
2
Solve -2*y + 5*s = -16, -7*y + 4*y + 3*s = -215 + 209 for y.
-2
Solve -y - o = 4*o + 3691 - 3711, -3*o + 24 = 3*y for y.
5
Solve 30*f - 35*f - 58*f + 296 = 2*m, 114 = f + 2*m + 3*m for f.
4
Solve 4*t + 3*o + 35 + 12 - 7 = 0, -22*t + 12 = 2*o for t.
2
Solve 22*h = -3*v + 181 - 1, 11*h + 13*v - 123 = -4*h + 25*v - 14*v for h.
9
Solve -28*n + 14*n + 46 = -2*g - 17*n, -3*g + 80*n = -1114 for g.
-2
Solve 5*m - 162*s - 8591 = 0, -492*m - 2*s - 110 = -496*m for m.
1
Solve x = 1427*y - 1422*y + 59, 6*x = -y + 230 for x.
39
Solve -36 = 4*j - 2*q, -35*j + 35*j - 720 - 12 = -61*q for j.
-3
Solve -8*u + 90 = v, -89329*u = -2*v - 89326*u - 29 for v.
2
Solve -332*g - 3*d = -328*g + 94, 0 = -2*g + 33*d + 988 for g.
-1
Solve 2593 - 2569 = -7*d + 4*g, 4*d + 4 = 6*g - 6 for d.
-4
Solve 0 = 10*d + 3*f + 94 - 37, 51 = -2*d - 5*f for d.
-3
Solve 8*c = 3*q + 127, -5*c = -3*q + 302 - 414 for q.
-29
Solve 25*l + 3*s + 8 = 22*l - 7, -6*l -
|
{
"pile_set_name": "DM Mathematics"
}
|
i) + 0*i**4 - 6*i**4 - 2*i**4 + (-1 - 3 + 2)*(-2 - i**4 + 2) + 0*i**4 + i**4 + 0*i**4).
273*i**5
Expand 0*i**2 + i**2 - 5*i**2 - 5*i**2 + i**2 + 5*i**2 + (1 + 2*i - 1)*(i - 2 + 2) - i**2 + 4*i**2 - i**2 - 129*i**2 - 394*i**2 - 19*i**2.
-541*i**2
Expand ((s**2 - 1 + 1)*(-2*s**3 + 4*s**3 - s**3) - 9*s**5 - 2*s**5 - 12*s**5)*(0 - 1 - 4).
110*s**5
Expand (p**4 - 4 - 2*p**4 + 1)*(0*p - 6*p + 3*p) - 5*p**5 - 10*p**5 + 0*p**5.
-12*p**5 + 9*p
Expand -3 - 2*b + 3 - 33*b + 48*b + 196*b + (2 + 2 - 2)*(4*b - 4*b - b) + 0 - 2*b + 4*b + 2.
209*b + 2
Expand (-j + 2*j + 0*j)*(2*j - 4*j + 4*j)*(3 - 3 - 9*j).
-18*j**3
Expand a**5 + 5*a**3 - 5*a**3 + (-a**3 + a**3 + a**4)*(18*a - 7*a - 9*a).
3*a**5
Expand (5*d**2 + 0*d**2 - 4*d**2 + (2 - d - 2)*(-4*d + 3*d - d) + 6*d**2 - 3*d**2 - d**2 + 37*d**2 - 1004 + 1004)*(5 - 1 - 1).
126*d**2
Expand (o**4 - 3*o**4 + 4*o**4 + (0*o**3 + o**4 + 0*o**3)*(2 + 0 - 3))*(76 - 46 + 154).
184*o**4
Expand (-79*a - 79*a + 163*a)*(2 - 1 + 3).
20*a
Expand (883*s**3 + 345*s**3 + 12*s**3)*(-2 - s + 2).
-1240*s**4
Expand (4*v + 3*v - 2*v)*(2*v**3 - 4*v**3 + 4*v**3) - 9*v**4 - 31*v**4 - 31*v**4.
-61*v**4
Expand (-z**4 + z**4 - z**4)*(6*z - 2*z - 2*z) + 0*z**5 + z**5 + 0*z**5 + 9*z - 52*z**5 - 46*z**5 + 110*z**5.
11*z**5 + 9*z
Expand (-5 + 3 + 3)*(117 - 117 + 71*v)*(-v**4 + 8*v**4 - 3*v**4).
284*v**5
Expand (4 + 4*i - 4)*(1 - 1 + i) + i**2 - 2*i**2 + 2*i**2 + (0*i - 2*i + i)*(2*i - 6*i + 2*i) + 2*i**2 + i**2 - 16*i**2.
-6*i**2
Expand (-1 - 2*x + 1)*(-x**3 + 4*x**3 - x**3) + 2*x + 1265*x**3 + x**4 + 1241*x**3 - 2488*x**3.
-3*x**4 + 18*x**3 + 2*x
Expand ((-48*a - 569 + 569)*(2 - 2 + a) - a + a + 2*a**2)*(-2 + 0 + 1).
46*a**2
Expand (-2*p + 3*p - 5*p)*(-1 + 0 + 0)*(25*p**2 - 40*p**2 - 51*p**2).
-264*p**3
Expand (h**2 + 98*h**2 + 32*h**2)*(5*h - h - 3*h) + (-1 + 4 - 5)*(h**3 - h**3 + h**3).
129*h**3
Expand (10 + 823 + 296)*(0*o + o - 3*o).
-2258*o
Expand (0 - 3 - 5)*(-21*z**3 - 21*z**3 + z**3).
328*z**3
Expand (-3*b**2 + 0 + 0)*(-1 - 32*b + 1) + (0*b + 3*b + b)*(-3*b**2 + 3*b**2 - 2*b**2).
88*b**3
Expand (3 - 4 - 1)*(t - t + 3*t**3) + 47*t**3 + 29*t**3 + 67*t**3.
137*t**3
Expand -5*w + 2*w + 2*w + (4 - 5 + 4)*(-1 + 5 + 1)*(w - w - 2*w) - 3*w + 5*w + 2*w.
-27*w
Expand (-x + 4*x + x)*(3 + 6 + 1).
40*x
Expand (3 - 1 + 0)*(-3*q + 3*q + q**2) + 2*q**2 + 3*q**2 - 6*q**2 - 20*q**2 - 59 + 59.
-19*q**2
Expand (j - 9*j - 3*j)*((-3*j + 4*j + 0*j)*(-1 - 1 + 3) + (2 + 1 - 2)*(-2*j - 2*j + j)).
22*j**2
Expand (308 - 308 + 13*r**3)*(2*r - 3*r + 3*r) + 2*r**4 + 0 + 0.
28*r**4
Expand 2*r**5 - 283*r**3 - r**5 + 276*r**3 + (4*r**2 - 4*r**2 + 3*r**4)*(-3*r + r + r).
-2*r**5 - 7*r**3
Expand (-233*t**3 + 112*t**3 + 174*t**3 + (-3*t + 4*t - 3*t)*(-2*t**2 - 1 + 1))*(4*t - 5*t + 2*t - 2)*(2 + 0 - 4).
-114*t**4 + 228*t**3
Expand (0 + 2*b + 0)*(b + b + 0*b) + (27 - 27 + 7*b)*(43 - 43 - 27*b).
-185*b**2
Expand (0 + 0 - l)*(-l - 4*l + 4*l) + (-10*l**2 + 3*l**2 - 14*l**2)*(-2 - 1 + 2).
22*l**2
Expand ((-2*c + 4*c - 7*c)*(0*c + 0*c + c) + (-c + c + 2*c)*(-c - 2*c + 2*c))*(1677*c - 1677*c + 80*c**2).
-560*c**4
Expand (2*u - 3 + 3 + (-4 + 2 + 4)*(-u + 4*u - 5*u) - 3 + 12*u - 13*u + 13*u)*(-3 + 4 + 0).
10*u - 3
Expand 233*p**2 - p - 45*p**2 + 156*p**2 + (2*p + 0*p - p)*(p - 2*p + 3*p).
346*p**2 - p
Expand (7 + 15 + 9)*(-4*u**4 - 2*u**4 + 3*u**4).
-93*u**4
Expand (3 - 4 + 2)*(5*p**3 + 4*p**3 - 5*p**3) + 2*p + 6*p**3 + 0*p - p.
10*p**3 + p
Expand (1 - 1 + 6)*(4 - 4 + 15*b**2) + b**2 + 0*b**2 + 5*b**2.
96*b**2
Expand (-g - 2*g**2 + g)*(-100*g + 100*g + 5*g**3 + (2*g + 3*g - 4*g)*(-5*g**
|
{
"pile_set_name": "DM Mathematics"
}
|
*6/360 - 29*z**3/6 - 20*z. Let h(a) be the second derivative of v(a). Calculate h(1).
-4
Let i(q) be the second derivative of q**5/20 - q**4/12 - q**3 + 2*q**2 + 291*q. What is i(-3)?
-14
Let b(h) = 5*h - 3. Let a(l) = -32*l + 20. Let q(s) = 3*a(s) + 20*b(s). Suppose 0 = -2*g + 3*j - 2, -g - 5 = 4*g + 5*j. Determine q(g).
-4
Suppose -3*z - 1 = 2. Let h = z + 6. Let n(r) = -r + 2*r**2 + 5*r**2 - 1 + 3*r**2 - 15*r**2 + r**3. Determine n(h).
-6
Let l(o) = -8*o + 0 - o**2 - 1 + 0 + 14. Give l(-9).
4
Let m(x) = -3*x - 6. Let p = 46 + -55. Determine m(p).
21
Let c(l) = 7*l + 127. Let n be c(-18). Let o(v) be the first derivative of 0*v + 1 - 13/2*v**2. Give o(n).
-13
Let i(d) be the first derivative of -d**3/3 + 2*d**2 + 8*d + 176. Calculate i(5).
3
Let l(r) be the first derivative of -r**6/180 + 7*r**5/120 + r**4/12 + 2*r**3/3 + 6. Let j(f) be the third derivative of l(f). Let z = 2 - -3. Determine j(z).
-13
Suppose 2*i = 5*i + 5*j - 19, 5*j + 5 = 5*i. Let t(y) = y**3 - 4*y**2 + 1. What is t(i)?
-8
Let p(t) = t + 1. Let i(u) = u**3 + u**2 - 4*u - 6. Let b = -119 + 117. Let f be i(b). What is p(f)?
-1
Let n = 30 - 28. Suppose n*o = -0*o + 10. Suppose 0 = -o*a - 3*h + 17, 0 = -2*a + 5*a + 3*h - 9. Let t(b) = b - 4. Calculate t(a).
0
Let t(m) be the third derivative of m**4/24 + 7*m**3/6 - 223*m**2. Determine t(-7).
0
Let y(g) = g**3 - 5*g**2 + 2*g + 1. Let p be y(4). Let o(v) be the first derivative of -v**3/3 - 7*v**2/2 + 4*v - 23. What is o(p)?
4
Let u(s) be the third derivative of s**6/120 - s**5/20 + s**4/12 + s**3/6 + 465*s**2. Give u(4).
25
Let h(k) = k**3 - 65*k**2 - 4 + 72*k**2 - 2*k + 7*k. What is h(-4)?
24
Suppose 0*b - 3*b = 5*d - 150, -4*b = -4*d - 200. Let f(n) = -b + 50 - 5*n. Determine f(-2).
10
Suppose 2*t - 21 = 21. Let o = -25 + t. Let v(j) = 6*j + 3. Let r(s) = 7*s + 3. Let n(q) = -4*r(q) + 5*v(q). What is n(o)?
-5
Suppose 3*p - 2*w = 4*p + 8, 3*p = 4*w + 26. Let z(r) = r + 3. Let j(o) = -2*o - 2. Let n(q) = p*j(q) + 3*z(q). Let g be (3 + -1 + -1)*6. Calculate n(g).
-1
Let k(q) = q**2 - 18*q - 37. Let g be k(20). Let f(a) be the second derivative of a - a**2 + 0 - 1/6*a**g. What is f(-5)?
3
Let r(l) = -4*l**2 - 3*l**2 - l**3 - 6*l + 1 + 0. Let z be (6/(-9))/(1/(-3)). Let v be (16/4 + -7)*z. What is r(v)?
1
Suppose 5*u + 26 = 3*a, 4*a = -4*u + 5*u + 29. Let c(f) = -f**2 - 4*f + 4. Let g(z) = -2*z**2 - 5*z + 6. Let v(t) = 5*c(t) - 3*g(t). Determine v(a).
16
Let m(f) be the third derivative of f**9/60480 + f**8/5040 - f**7/840 + f**6/144 + 9*f**5/20 + 32*f**2. Let q(u) be the third derivative of m(u). What is q(-5)?
10
Let u be (0 - (1 + -2)) + 2. Let x(r) = -39*r**2 + u*r + 45*r**2 + r**3 - 3 + 5*r - 2*r. What is x(-5)?
-8
Let f(a) = 2*a**3 - a**2 + a + 1. Let h(w) = -10*w**3 + 7*w**2 - 6*w - 5. Let l(s) = 11*f(s) + 2*h(s). Determine l(2).
27
Let i = -4 + 7. Suppose i + 3 = s. Suppose 8*v + 4 = s*v. Let o(l) = -3*l. Give o(v).
6
Let y(o) be the second derivative of o**3/6 + 11*o**2/2 - 16*o + 2. Determine y(0).
11
Suppose -5*x + 10*x - 14 = 4*k, -k = -2*x + 2. Let n(a) = a + 7. Let u(p) = p + 8. Let j(r) = k*n(r) + 5*u(r). Calculate j(-2).
0
Let r = -171 - -169. Let f(m) = 6*m - 2. Determine f(r).
-14
Let b(g) = g - 1. Let h(t) = -2*t + 8. Let d(x) = -b(x) - h(x). Let f be (-3)/(1*(-1)/((-10)/(-5))). Give d(f).
-1
Let g = -344/3 + 116. Let f(w) be the first derivative of 0*w + 0*w**2 + g*w**3 - 10 - 1/4*w**4. Calculate f(3).
9
Let m(a) = -7*a + a + 8*a + a**3 + 5*a**2 + 90 + a - 92. Calculate m(-4).
2
Let m = -10 - -2. Let u be (m/(-3))/((-4)/(-6)). Let j(c) = -u + 2 + 1 + c**2 - 3*c. Give j(3).
-1
Let o(v) = -12*v**3 + v**2 - 1. Suppose 4*z + 0*z - 4 = 3*j, -2*j - 4 = -4*z. Let d(y) = y - 11. Let m be d(10). Let n = j + m. Determine o(n).
12
Suppose 3*a - 4 = 5*s - 2, -4*a + 26 = 5*s. Let b(g) = -6*g**2 + 2*g - 3. Let d(o) = 4*o**2 - o + 2. Let f(x) = -5*b(x) - 7*d(x). Give f(s).
3
Let h(v) = v**2 - 6*v + 9. Let q be h(4). Let c = -1 + q. Let z(f
|
{
"pile_set_name": "DM Mathematics"
}
|
-1147 (b) 4 (c) 20/9
b
What is the smallest value in -3, -2/7, 1160.4, 0, 4?
-3
What is the fifth biggest value in 2/9, 11.08, 0.2, -0.2, -6?
-6
What is the biggest value in -1, -2, 120, 1/23?
120
Which is the biggest value? (a) 0.5 (b) -1 (c) 39/43 (d) -0.04
c
What is the biggest value in -2/11, -1522, -3, -101, -0.5?
-2/11
Which is the third biggest value? (a) -3 (b) 0.5 (c) 9.78 (d) -5 (e) -7/5
e
What is the fifth smallest value in 0.4, 2, 2/7, -0.5, 0.33?
2
Which is the third biggest value? (a) -6116 (b) 157 (c) -0.1
a
Which is the smallest value? (a) 253.5 (b) 5 (c) -0.01 (d) -4 (e) -5 (f) 0
e
Which is the fifth biggest value? (a) 0.3 (b) -4/3 (c) -2/743 (d) -2/13 (e) 2.1
b
Which is the second smallest value? (a) 5 (b) 81/7 (c) 4 (d) -59 (e) -2/3 (f) -0.2
e
What is the fourth smallest value in 0, -4, -2, -0.031?
0
Which is the second biggest value? (a) -18/43 (b) 1/21 (c) -5
a
Which is the third smallest value? (a) 1 (b) -5 (c) 143/2 (d) 0
a
What is the fourth smallest value in -26, 0.1, -632, -0.4, 0?
0
Which is the fourth smallest value? (a) 3/8 (b) -0.057 (c) -13 (d) 3/5 (e) -2
a
What is the smallest value in 4629, -3.8, 0?
-3.8
What is the second smallest value in 93, -2, -4, 30, 1/7?
-2
Which is the fourth smallest value? (a) 14 (b) 7 (c) -6/7 (d) -256 (e) -0.2
b
Which is the fifth smallest value? (a) -0.4 (b) 0.01 (c) -1/3 (d) -5 (e) -83/14
b
What is the fourth biggest value in -1.4, -112, -2, 0.1, -10?
-10
Which is the second smallest value? (a) -62217 (b) 5 (c) -4/7
c
What is the third biggest value in 1, -98, -8, 28?
-8
Which is the third biggest value? (a) 40/7 (b) 110 (c) 1
c
What is the biggest value in -4, -1, 0.1, 0.015, 13, -12?
13
Which is the biggest value? (a) 4044 (b) -11 (c) -3/5
a
What is the biggest value in 1, 0.13, -2231?
1
Which is the second smallest value? (a) -5 (b) 8 (c) 4/5 (d) -1/1326
d
Which is the second biggest value? (a) -0.1 (b) -2/5 (c) 2/3235 (d) -8
a
What is the second biggest value in 263, -4/9, 2.1, -36?
2.1
What is the smallest value in -5, 0.7, -1, -53, -4/5, 1/15?
-53
What is the fifth smallest value in -0.09, 1/33, -5/8, 2/11, -0.3?
2/11
What is the third biggest value in 2, -1, 316, -4, 0.16?
0.16
What is the second smallest value in -0.4, 0, 0.4, -1/3, 2214.5, -5?
-0.4
What is the second smallest value in 38, 4/5, -2/113071?
4/5
What is the second smallest value in 1, -8309, -11/4?
-11/4
Which is the third smallest value? (a) -4 (b) 0.04 (c) -0.08
b
Which is the biggest value? (a) -7/11 (b) 3770 (c) -4 (d) 0.4
b
Which is the second smallest value? (a) -15947/4 (b) 5/4 (c) 0.2
c
Which is the third biggest value? (a) 1/26 (b) 239 (c) 3/5 (d) 4
c
What is the fourth smallest value in 1, 0.2, -0.0322, -7.8, 5/2, -0.4?
0.2
Which is the fourth smallest value? (a) -5 (b) -0.2 (c) -1.5 (d) 2 (e) 25 (f) 1/6
f
Which is the third smallest value? (a) 613 (b) -39 (c) 0.07
a
Which is the smallest value? (a) -2/11 (b) -2 (c) 83 (d) 10
b
What is the second biggest value in -0.2, 1/2, 39, 2, -1?
2
Which is the fourth smallest value? (a) -13/8 (b) 5 (c) -743 (d) -0.1 (e) 1/5
e
Which is the smallest value? (a) 0.02 (b) -0.3 (c) -822/7 (d) 1
c
Which is the fifth biggest value? (a) -2/7 (b) -0.1 (c) 1/5 (d) 0.3 (e) 31/2
a
What is the second smallest value in 45880, -1/3, 4/9?
4/9
Which is the smallest value? (a) 14 (b) 4 (c) 3/7 (d) 1/10 (e) 170/3 (f) -1
f
Which is the third smallest value? (a) 0.5 (b) -0.1917 (c) 2 (d) 0
a
Which is the second biggest value? (a) 2 (b) -16/9 (c) 25/4 (d) 0 (e) 0.2
a
What is the second smallest value in 0, 164, -1/13, 4?
0
Which is the third smallest value? (a) 0 (b) 2 (c) -1813/4
b
Which is the third biggest value? (a) 38 (b) 0.25 (c) 40
b
What is the third smallest value in -22, 2/19, -1/31, -1?
-1/31
What is the fourth smallest value in 0.4, 3, -13/7, -2/5, 2/11?
0.4
Which is the second smallest value? (a) 5 (b) -6/7 (c) 4893
a
Which is the third biggest value? (a) -0.23 (b) 331 (c) 5 (d) -5 (e) 0.2
e
Which is the third biggest value? (a) 0.3 (b) -362.24 (c) 4
b
What is the second smallest value in 5/9, 39, 11, 4/3?
4/3
Which is the second smallest value? (a) 0.1 (b) -163 (c) 5 (d)
|
{
"pile_set_name": "DM Mathematics"
}
|
False
Let k(w) be the second derivative of -4683*w**5/20 + w. Let p be k(1). Let d = -2790 - p. Is d composite?
True
Let q(d) = d + 11. Let a be 0 - 1 - 2/((-10)/(-35)). Let s be q(a). Is (-2 + 6 - s) + 906 a prime number?
True
Let k be (-116)/(-29) + (5 - 0). Suppose -4*o = 5*g - 16815, k = -2*o + 19. Is g a composite number?
False
Let u = 5 + -6. Let x be (u + (-6 - -5))*-3*479. Suppose 710 - x = -4*m. Is m prime?
True
Let z(b) = -9*b**2 - 27 + 8 + 47*b**2 - b + 38. Suppose -16 = 2*x - 2*v, 36 = -5*x - 2*v + 6*v. Is z(x) a composite number?
False
Suppose 2*m + 3*g + 21255 = 0, 5*m = 2*m - g - 31865. Let o = m + 34093. Is o a prime number?
True
Suppose m - 2*m = -565. Suppose 4*o = -4*y + 3*y - 96, 2*y - o + 237 = 0. Let w = y + m. Is w a prime number?
True
Let m be 12/(-15) + 2527/(-35). Let a = -68 - m. Suppose -1500 = -a*p + 4795. Is p prime?
True
Let s = 75 - 74. Is 3 - ((-3)/s - 755) a prime number?
True
Suppose 3*n + y = 4*y, -4*n = -y. Suppose n = -13*k + 10*k + 1266. Is k composite?
True
Suppose -28*q + 132 = -17*q. Suppose -q*n - 48053 = -41*n. Is n a composite number?
False
Let y be ((1*-1)/2)/((-54)/(-218376)). Let r = 7801 + y. Is r composite?
False
Let m = -151586 + 453529. Is m composite?
False
Let n = 183677 - 102624. Is n a prime number?
False
Let s be 4 + ((-2)/2 - 1). Let m be (1 - s) + (8 - 2) - 1. Is 1/m*1 - 21762/(-24) composite?
False
Suppose -5*t + 3*t + 3266 = 5*z, 5*z = -3*t + 4889. Let o(j) = -587*j + 69. Let q be o(-5). Let u = q - t. Is u a prime number?
True
Let u(i) = -3*i**3 + i**2 + 1. Let h(o) = 2*o**3 + 2*o**2 + 6*o + 84. Let t(n) = h(n) + u(n). Is t(0) prime?
False
Let k(d) = 16 - 2*d**2 + 3 + 9*d + d + 7*d. Let h be k(9). Is ((-108)/80 + (-4)/h)*-4 a composite number?
False
Suppose 7340505 = 18*t - 4658066 - 11289595. Is t composite?
True
Suppose -5*p = s - 119043, 75*p - 71*p = s + 95238. Is p a prime number?
False
Let j = 6171 - 4210. Let r = j + -420. Is r prime?
False
Suppose 0 = 10*b - 53*b + 608149. Is b prime?
True
Let l(i) be the first derivative of -1124*i**2 - 173*i - 61. Is l(-10) a composite number?
False
Suppose -24*q + 610 = -14*q. Suppose 20*a = q*a - 801427. Is a a composite number?
True
Suppose 0 = -16*h + 30 + 18. Suppose 4*y + 5303 = 3*k + 8*y, -h*k + 5311 = -4*y. Is k a prime number?
False
Suppose 9*t - 2228800 = 4342883. Is t a composite number?
False
Suppose 0 = 3*h - 3*r - 222635 - 45433, 5*h - 3*r = 446782. Is h a composite number?
True
Let y = 49963 - -56758. Is y prime?
True
Suppose -73*f - 12 = -80*f + 16. Let q = 360 - 240. Is (q/(-36))/(f/222)*-1 a prime number?
False
Suppose -465185 = -280*g + 245*g. Is g prime?
True
Let c(d) = 377*d**2 + 53*d + 1397. Is c(-36) composite?
True
Suppose -3*y + 3 = 0, -2*y = 4*j - 8040 + 22230. Let b(n) = -98*n**2 - 5. Let r be b(8). Let s = j - r. Is s a prime number?
True
Let s(b) be the first derivative of -b**5/5 + 5*b**4/12 - 3*b**3 - 16. Let w(k) be the third derivative of s(k). Is w(-14) composite?
True
Let p be (32382/6)/(4 - (-26)/(-8)). Suppose 0 = -3*s - 5*k + k + 10822, -2*k - p = -2*s. Is s prime?
False
Let u(h) = 10838*h - 1105. Is u(16) a prime number?
False
Suppose 73*k - 75*k + 23890 = 0. Suppose 0 = -l - 5*z + 2389, -5*l - 3*z = -0*z - k. Is l prime?
True
Let b(n) = n**3 - 8*n**2 - 7*n + 7. Let l be b(8). Let v = -27 - l. Is 8334/v + (-14)/(-77) composite?
False
Suppose 5*d + 198 = g, -3*g + 2*d + 133 + 526 = 0. Let m = 123 + g. Is m prime?
False
Let r = 602 - -1802. Let z = -1043 + r. Is z composite?
False
Let d(a) = 7*a**2 + 17*a - 103. Let k be -2*115/10 + 5 + 1. Is d(k) a composite number?
True
Let t(d) = 50*d**2 - 33*d + 659. Is t(14) composite?
True
Let i = 3406 + -1679. Let f = 4844 - i. Is f a prime number?
False
Let d be -1 + 0 - (5 + -10). Suppose 299 = j + 2*t - 650, -d*j + 2*t = -3766. Is j prime?
False
Let f = 35 + -39. Let s be -1 + (79 - f)/1. Suppose -3*g + 4*o = -g - s, -5*g = 2*o - 169. Is g a prime number?
False
Let g be (4/2 - -2) + (-16)/8. Suppose 0 = -4*h + 5*r - 11, -5*r = -2*h - 5 + g. Let z(w) = 69*w**2 + 3*w + 17. Is z(h) a composite number?
False
Let h(i) = 23391*i**2 - 18*i - 163. Is h(-6) a prime number?
True
Let c(h) = 57*h**3 - 2*h**2 - 8*h + 2. Let y(s) = 2*s**3 - 21*s**2 - 13*s + 25. Let v be y(11). Is c(v) composite?
False
Suppose -2*j + 5*p + 3 + 8 = 0, 3*j + p - 8 = 0. Let d(c) = -73*c**3 + c**2 + 2*c + 0*c**2 - 61*c**j + 1. Is d(-1) a prime number?
False
Let n(a) = -158*a - 507. Is n(-21) composite?
True
Let a be (-291)/6*(-6 + -3 + 7). Suppose 0 = a*h - 103*h + 4812. Is h a composite number?
True
Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
a.
-1
Solve -5*a = -2*a - 2*u - 13, -4*u = 8 for a.
3
Solve 0*o = -o + 1, 3*k + o = -14 for k.
-5
Solve 5*a = 2*p + 5, -9*p = -6*p + 15 for a.
-1
Solve -76*x + 78*x - 8 = -t, -8 = -4*t - 2*x for t.
0
Solve -139*r = -141*r + 3*a, -2*a = 4*r - 16 for r.
3
Solve 3*g - 12 = 0, -o - 3*g + 14 - 3 = 0 for o.
-1
Solve 2*j = -64*m + 69*m - 21, -13 = -m - 4*j for m.
5
Solve -j - x = 0, 4*j + 7 = 4*x + 23 for j.
2
Solve -4*g + 16*a - 13*a = 11, -4*a + 14 = -5*g for g.
-2
Solve 2*c = -3*n + 7, -7*n = -2*n - 4*c - 41 for n.
5
Solve -5*g = -20, -5*a = 2*g + 4 - 17 for a.
1
Solve 1 = 4*a + 2*c + 11, 3*a - 9 = 4*c for a.
-1
Solve -4*v + 9 = -7*v, -o - 2 = v for o.
1
Solve v - 3 = 4*p, 12*p = 2*v + 9*p + 4 for v.
-5
Solve -j - 14 = -3*u, 7 = u + 3 for j.
-2
Solve q + 2 = 0, 2*g + 49*q = 47*q - 6 for g.
-1
Solve -4*u = 4*l - u + 25, -4*u - 24 = 3*l for l.
-4
Solve -5*x = -3*r - 17, 0*x + x - 4*r - 17 = 0 for x.
1
Solve 4*h = 4*l - 4, 3*h - 45*l + 50*l - 37 = 0 for h.
4
Solve 0 = -2*t + l - 1 + 5, l = t - 1 for t.
3
Solve 12*t = 3*f + 8*t + 8, -9 = 3*f - 3*t for f.
-4
Solve 32*q + 1 = 2*y + 33*q, -2*y + 8 = 2*q for y.
-3
Solve 0 = -j + 4*q + 8, -6*j - q - 2 = -5*j for j.
0
Solve -4*s + 4*p = 0, 2*s + 9*p - 4*p - 14 = 0 for s.
2
Solve -2*j + 4 = 5*n, 3*n + 4*j = -n - 4 for n.
2
Solve 2*c = 3*t - 7*t + 6, -6 = 5*c + 3*t for c.
-3
Solve 3*r - 5*i - 37 = -18, -4*r + 5*i = -22 for r.
3
Solve -30 = -4*x + 2*t, 6*x = 3*x - 2*t + 5 for x.
5
Solve 4*s + 13 - 1 = -2*k, 5*s = 4*k - 15 for k.
0
Solve 32*c - u = 36*c + 5, u + 1 = 0 for c.
-1
Solve -3*s - 3*r - 15 = 0, -10 = 5*r - 3*r for s.
0
Solve -2*m = -2*g - g + 4, 0 = -m + 4 for g.
4
Solve 0 = 4*w - 5*s - 10 - 7, 2*s = 5*w - 17 for w.
3
Solve -208*z + 207*z = -s + 4, 0 = -3*s - z + 8 for s.
3
Solve 47*f - 52*f - 15 = 0, 2*u + 5*f + 19 = 0 for u.
-2
Solve -4*h + 4*p = 8, 3*p = -4*h - 2*p + 19 for h.
1
Solve 3*p = -p - 4, 0 = 3*g + 3*p + 9 for g.
-2
Solve 0 = -3*b - 6, -4*x + 5*b = x - 25 for x.
3
Solve 3*y - 3*n = 0, -3*n + 9 = 2*y + 4 for y.
1
Solve 2*b + l - 6 = -3*l, 0 = -3*l for b.
3
Solve -3*v - 2*t = 2*t + 8, -3*v + 3*t - 15 = 0 for v.
-4
Solve -f = -3*w - 3, -w = -4*f + 8*f + 1 for f.
0
Solve 11*n - 8*n - 7 = -f, 0 = f - n - 3 for f.
4
Solve -3*w + 5 = 5*s, 2*w - 6 = 61*s - 63*s for w.
5
Solve -101*t + 5*u = -100*t + 20, 0 = -5*t + 2*u + 15 for t.
5
Solve 29*o - 16 = 25*o, o - 16 = -4*f for f.
3
Solve -3*c - 6 = -5*k, -k + 8 = -4*c + 2*k for c.
-2
Solve 7*h - 2*h = -5*r - 10, -h = -5*r - 4 for h.
-1
Solve -w - 5 = 5*s, 0 = -5*s + 4*w - 5 for s.
-1
Solve -26*a = -28*a - 4*b + 20, 10 = -a + 3*b for a.
2
Solve -1 = -g + 5*u + 1, -20 = 5*g + 5*u for g.
-3
Solve -27 = 2*n - a - 30, -a = n + 6 for n.
-1
Solve -2*n - 3 = -f, 3*n - 274 + 262 = -4*f for f.
3
Solve -4*u = -3*u - 2*i + 10, 3*u - 10 = -4*i for u.
-2
Solve -a - 9 = -f, -2*a + f + 11 = -6*a for a.
-4
Solve -3*f + 4*x + 17 = 0, 4*f + 89*x - 94*x = 21 for f.
-1
Solve -l - 6*m - 14 = -2*m, -5*m = -3*l + 26 for l.
2
Solve -5*h - c - 11 - 7 = 0, 5*c = 3*h + 22 for h.
-4
Solve -5*g - o + 21 = 0, -5 - 14 = -5*g + o for g.
4
Solve -11*m = -b - 8*m - 16, 21 = 4*b + 5*m for b.
-1
Solve 2*c + 23 = -n + 21, 10 = -5*c - 5*n for c.
0
Solve -11*b + n - 10 = -8*b, 0 = -4*b - 3*n - 9 for b.
-3
Solve a - o = -9 + 6, -4*o = -a - 27 for a.
5
Solve 0 = s + 4*g - 10, 0*g = s - g for s.
2
Solve 2*z = -5*y - 0*y, -5*y + 1 = 1 for z.
0
Solve 17 - 8 = v - 2*a, -5*a = 3*v + 17 for v.
1
Solve 0 = -2*m + 4*m - 3*j - 4, 6 = -2*m - 2*j for m.
-1
Solve -2*g + 10 = -2*q, -2*q + 0*g = 2*g - 2 for q.
-2
Solve -28*o + 23*o = -3*v + 3, 5*v
|
{
"pile_set_name": "DM Mathematics"
}
|
ctors of r?
2, 3, 61
Suppose 4*t - 29 = -u, -5*t + u - 5*u = -28. Suppose -12*b = -t*b - 540. What are the prime factors of b?
3, 5
Let h be (-3 + 0)*3/(-3). Suppose -a + 5*d + h = 0, 3*a + 9 = a - 5*d. Let y = 13 + a. What are the prime factors of y?
11
Let x(a) be the first derivative of a**2/2 - 2*a - 3. Let n be x(0). What are the prime factors of (n + 23)/(-2 - -3)?
3, 7
What are the prime factors of 2*(-5)/45*-2157*3?
2, 719
Let v(b) = 533*b - 204. List the prime factors of v(3).
3, 5, 31
List the prime factors of (-18)/(((-5)/(-2685))/((-5)/30)).
3, 179
Let r(h) = -h**3 - 11*h**2 + h + 854. What are the prime factors of r(0)?
2, 7, 61
Let l = -1585 + 3606. What are the prime factors of l?
43, 47
Let h be 2/(-5) - (-6)/15. Let r = -61 + 132. Suppose h = -4*j + 3*l + 55, 3*l = -0*j + 5*j - r. What are the prime factors of j?
2
Let k = -228 + 355. List the prime factors of k.
127
Let k = -1054 + 1511. What are the prime factors of k?
457
Let w(y) = -92*y - 28. What are the prime factors of w(-4)?
2, 5, 17
Let v(y) = -y**3 - 6*y**2 + y + 6. Let p be v(-6). List the prime factors of p/(1/1) + 54.
2, 3
Suppose -5*t - 5*c = -980 - 330, 0 = c - 4. Suppose 6*j + 0*j = t. List the prime factors of j.
43
Suppose 0*a = 5*a - 65. Suppose 120 = -9*m + a*m. What are the prime factors of m?
2, 3, 5
Suppose -5*f - 2*n + 18 = 0, -4*f = 5*n - 26 - 2. What are the prime factors of 4689/18 - 1/f?
2, 5, 13
Let r(q) = 93*q + 5. List the prime factors of r(10).
5, 11, 17
Let h(i) = -i**2 + 13*i - 7. Let f = 23 + -14. List the prime factors of h(f).
29
Let i(j) = -555*j - 828. List the prime factors of i(-6).
2, 3, 139
Let d(x) = 5*x**2 - 2*x - 122. List the prime factors of d(-14).
2, 443
List the prime factors of ((-6)/15)/((-1)/2735).
2, 547
Let g = 13 + -8. Suppose -87 = -g*p + 2*p + n, -5*p + 152 = -4*n. Let v = p - 17. What are the prime factors of v?
11
Let m(q) = q**2 - 4*q + 1. Let t(j) = j**3 - 5*j**2 + j - 1. Let y be t(5). Suppose -u + y*u - 15 = 0. What are the prime factors of m(u)?
2, 3
Suppose 0 = 4*l - 28 + 152. Let q = l + 33. List the prime factors of 69/q - 30/20.
3, 11
Let q be (0 - -238 - -4) + -4. Suppose -3*x - 2*x = -3*f - q, 2*x - 98 = 4*f. What are the prime factors of x?
47
Suppose 0 = -4*x + 2*s + s + 2, -5*x - 4*s = -18. What are the prime factors of x/4*102 + 1?
2, 13
Suppose u + 2 = 0, -n - 2*n - 3*u = 6. Suppose 0 = -2*t + 36. Suppose p - j - t = -n*j, p + 2*j = 30. What are the prime factors of p?
2, 11
Suppose -22 = 2*t + 3*u, 2*t = 5*t - 5*u - 5. What are the prime factors of (-4)/(((-5)/(-32))/t)?
2
Let s = 8 - 3. Suppose g = i + 4, 9 = s*g - 2*g. List the prime factors of ((-13)/3)/(i/6).
2, 13
Let z = 173 - -253. List the prime factors of z.
2, 3, 71
Suppose -5*l = 5*q - 13 + 3, -3*q = 4*l - 8. Suppose 3*k - 2*n - 278 = q, 0*n - 274 = -3*k + 4*n. What are the prime factors of k?
2, 47
Suppose 0 - 2 = -b. Let g be b*(0 + -1) + 132. Suppose -3*r + r - q = -g, r - 67 = -q. List the prime factors of r.
3, 7
Let k = -641 - -727. List the prime factors of k.
2, 43
Suppose -q - 48*t = -51*t - 1910, -5*t + 9610 = 5*q. What are the prime factors of q?
19, 101
Let q(j) = 2*j**3 - 4*j**2 + 3*j - 1. Suppose 2*c + 2*f - 14 = 0, -c - 17 + 4 = -4*f. Let n be q(c). Suppose 3*m - 5*m = -n. What are the prime factors of m?
13
What are the prime factors of ((-536)/(-201))/(4/30)?
2, 5
Suppose 0 = -5*s + 4*s, t - 993 = 4*s. List the prime factors of t.
3, 331
Let d(a) = 2*a + 53. Let f be d(-26). List the prime factors of f/(6/(-474)*-1).
79
Let n(p) = 2*p**3 + 9*p**2 + 2*p - 9. Let m be n(-3). Let f = 6 - 3. Let w = f + m. What are the prime factors of w?
3, 5
Suppose v - 4 = -v. Let r(z) = z**3 + 7*z**2 - 2*z. Let d be r(-4). Suppose c - 4 = 0, -v*c = -3*k - c + d. What are the prime factors of k?
2, 5
Let w(u) = 24*u**2 - u. Let l be 4/10*50/20. List the prime factors of w(l).
23
Suppose -1041 - 1054 = -5*s. What are the prime factors of s?
419
Let m = -6 + 12. Let i be 41 - m - (-1)/(-1). List the prime factors of i*(4 + (0 - 3)).
2, 17
Suppose 0 = -4*w + 8*w + 128. Let u = w - -22. What are the prime factors of 10/(0 + (-4)/u)?
5
Suppose 5*m = -27*q + 24*q + 2689, 3*m + 4*q = 1620. What are the prime factors of m?
2, 67
Suppose -2*o - 292 = -1606. What are the prime factors of o?
3, 73
Let v(g) = -42*g - 208. What are the prime factors of v(-32)?
2, 71
Let i be 2*-1 - (0 - (-1 + -6)). What are the prime factors of (142/(-4))/(i/18)?
71
Let r be (-2 - (0 + -3))*-70. Let v = -34 - r. Let o = 8 + v. What are the prime factors of o?
2, 11
Let u be ((-6)/4)/((-6)/48). Let c(h) = h**3 - 11*h**2 - 12*h + 11. Let b be c(u). Let z = 23 + b. What are the prime factors of z?
2, 17
Let s(a) = a**3 - 5*a**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
late 62 divided by -3.
-62/3
-2016 divided by -3
672
What is 231 divided by -7?
-33
Divide 410 by 1.
410
Divide -232 by -2.
116
What is -35695 divided by 5?
-7139
Calculate 1197 divided by 7.
171
What is -160 divided by 32?
-5
Divide -72 by -2.
36
What is 7 divided by 6?
7/6
Calculate -8 divided by -45.
8/45
Calculate -20 divided by -54.
10/27
Calculate -71 divided by 2.
-71/2
What is 56 divided by 8?
7
5 divided by 141
5/141
6663 divided by 2221
3
Divide 44380 by 5.
8876
5450 divided by -2725
-2
Calculate -73 divided by 1.
-73
What is -2352 divided by -6?
392
What is -22 divided by 17?
-22/17
Divide -380 by 5.
-76
What is 108 divided by -54?
-2
-381 divided by 3
-127
Divide 102 by -1.
-102
Calculate 448 divided by 32.
14
Divide -116 by -9.
116/9
3 divided by 805
3/805
What is 2 divided by 215?
2/215
Divide -42 by 6.
-7
-81 divided by 5
-81/5
Divide -195 by -13.
15
Divide 216 by -1.
-216
What is 26 divided by 2?
13
Calculate -165 divided by 3.
-55
Calculate -38 divided by -38.
1
What is -1308 divided by 3?
-436
-196 divided by -28
7
23484 divided by 3
7828
Calculate -1095 divided by -1.
1095
What is -1 divided by 64?
-1/64
-120 divided by -24
5
Divide -8 by -249.
8/249
Divide 220 by 44.
5
Divide 14484 by -2.
-7242
-2160 divided by 5
-432
What is -110 divided by -55?
2
Calculate -14 divided by 18.
-7/9
1833 divided by 3
611
What is 7884 divided by -73?
-108
-212 divided by 212
-1
1252 divided by 313
4
What is -752 divided by -3?
752/3
Divide -309 by -3.
103
Calculate -770 divided by 14.
-55
Divide -4 by 31.
-4/31
What is 126 divided by -6?
-21
What is 861 divided by 41?
21
-31 divided by 31
-1
Calculate -5 divided by -3929.
5/3929
Divide 26 by -26.
-1
What is -150 divided by -3?
50
Divide 25 by 174.
25/174
Divide -555 by -6.
185/2
Calculate 2801 divided by 2.
2801/2
-387 divided by 387
-1
Divide -201 by -67.
3
Divide -10 by -16.
5/8
-204 divided by 102
-2
What is 4 divided by -1?
-4
What is 168 divided by -12?
-14
-1364 divided by -11
124
Calculate 3 divided by -232.
-3/232
Calculate -1209 divided by 93.
-13
-1401 divided by -1401
1
-426 divided by -6
71
Divide -11 by 186.
-11/186
What is -290 divided by -1?
290
Divide 12 by -1.
-12
Calculate 98 divided by 98.
1
4176 divided by 87
48
10 divided by 6
5/3
Calculate 65 divided by -7.
-65/7
Divide 3340 by -835.
-4
What is -2652 divided by 2?
-1326
Calculate 334 divided by -167.
-2
What is 510 divided by -5?
-102
What is -16475 divided by -5?
3295
Divide 288 by 4.
72
Divide 135 by -24.
-45/8
Calculate -15708 divided by 3.
-5236
Calculate -346 divided by 173.
-2
Divide 350 by 6.
175/3
Divide -494 by 38.
-13
-1922 divided by 6
-961/3
Calculate 2244 divided by -4.
-561
Divide 18921 by -53.
-357
What is 2856 divided by -136?
-21
What is 836 divided by -11?
-76
Calculate 97 divided by 51.
97/51
What is 3553 divided by 11?
323
Divide -278 by -2.
139
427 divided by -1
-427
Calculate -225 divided by -45.
5
Divide -1050 by -7.
150
What is 82 divided by 6?
41/3
0 divided by -665
0
Calculate 556 divided by 139.
4
What is 0 divided by 99?
0
What is -1022 divided by 2?
-511
Divide -26556 by 6639.
-4
984 divided by -984
-1
Divide -2 by -82.
1/41
What is 5 divided by -94?
-5/94
What is -186 divided by -62?
3
Calculate 448 divided by 5.
448/5
Divide -19 by -10.
19/10
Calculate 2 divided by -709.
-2/709
What is -142 divided by 73?
-142/73
Calculate -371 divided by -2.
371/2
What is 4194 divided by 1398?
3
Divide -5 by 3463.
-5/3463
What is 390 divided by -26?
-15
Calculate -43 divided by 91.
-43/91
Calculate 785 divided by -28.
-785/28
What is 277 divided by -4?
-277/4
-4572 divided by -1143
4
What is -573 divided by -5?
573/5
Divide -4 by -1.
4
What is -1512 divided by -1512?
1
What is -24 divided by 4?
-6
Divide 252 by -14.
-18
Divide -2250 by 7.
-2250/7
What is -329 divided by 7?
-47
Calculate 198 divided by -17.
-198/17
-1212 divided by -4
303
Calculate 417 divided by -139.
-3
Divide -307 by -59.
307/59
Calculate -9 divided by -8.
9/8
Calculate -542 divided by 271.
-2
Divide -616 by 2.
-308
Calculate -376 divided by -47.
8
904 divided by -226
-4
What is 300 divided by -50?
-6
Calculate 1 divided by -38.
-1/38
What is -1 divided by -44?
1/44
What is -282 divided by -9?
94/3
What is 583 divided by -583?
-1
-1066 divided by 26
-41
Divide 55 by -12.
-55/12
What is 2 divided by 81?
2/81
Calculate 236 divided by 59.
4
24 divided by 801
8/267
1 divided by 395
1/395
Divide 1560 by -312.
-5
What is 558 divided by -3?
-186
-162 divided by -9
18
What is -16352 divided by -4088?
4
Calculate -634 divided by -5.
634/5
Calculate -1511 divided by -10.
1511/10
What is 25 divided by 38?
25/38
Calculate -30216 divided by 4.
-7554
Calculate 21984 divided by -1.
-21984
Divide 600 by 200.
3
-10 divided by -16
5/8
What is -120 divided by 15?
-8
Divide 2763 by 921.
3
Calculate 7 divided by -7.
-1
-102 divided by -2
51
Divide 3 by -36.
-1/12
What is -24240 divided by 1?
-24240
1664 divided by 52
32
Calculate -28408 divided by 7102.
-4
What is -952 divided by -68?
14
-3 divided by -49
3/49
Calculate 898 divided by -4.
-449/2
-8 divided by -51
8/51
Divide -6300 by -10.
630
Calculate -2575 divided by -5.
515
What is 1248 divided by 6?
208
-249 divided by -
|
{
"pile_set_name": "DM Mathematics"
}
|
integer?
6
What is the fourth root of 733 to the nearest integer?
5
What is the eighth root of 89865 to the nearest integer?
4
What is 14104 to the power of 1/2, to the nearest integer?
119
What is the seventh root of 27915 to the nearest integer?
4
What is 26695 to the power of 1/3, to the nearest integer?
30
What is the third root of 22651 to the nearest integer?
28
What is the cube root of 28271 to the nearest integer?
30
What is the cube root of 512 to the nearest integer?
8
What is 10250 to the power of 1/7, to the nearest integer?
4
What is 9356 to the power of 1/7, to the nearest integer?
4
What is the seventh root of 9388 to the nearest integer?
4
What is the square root of 1334 to the nearest integer?
37
What is the square root of 26662 to the nearest integer?
163
What is the third root of 371 to the nearest integer?
7
What is the fifth root of 1572 to the nearest integer?
4
What is 10059 to the power of 1/2, to the nearest integer?
100
What is the seventh root of 6609 to the nearest integer?
4
What is the square root of 16008 to the nearest integer?
127
What is 2181 to the power of 1/5, to the nearest integer?
5
What is the third root of 11289 to the nearest integer?
22
What is the third root of 121 to the nearest integer?
5
What is the square root of 18273 to the nearest integer?
135
What is the cube root of 2704 to the nearest integer?
14
What is 1171 to the power of 1/8, to the nearest integer?
2
What is the square root of 221 to the nearest integer?
15
What is the third root of 20189 to the nearest integer?
27
What is 1228 to the power of 1/9, to the nearest integer?
2
What is 1640 to the power of 1/7, to the nearest integer?
3
What is the fourth root of 48082 to the nearest integer?
15
What is the square root of 79566 to the nearest integer?
282
What is 123274 to the power of 1/10, to the nearest integer?
3
What is 35550 to the power of 1/3, to the nearest integer?
33
What is 24981 to the power of 1/2, to the nearest integer?
158
What is 1296 to the power of 1/8, to the nearest integer?
2
What is the sixth root of 47491 to the nearest integer?
6
What is 57341 to the power of 1/3, to the nearest integer?
39
What is 39925 to the power of 1/2, to the nearest integer?
200
What is 8654 to the power of 1/6, to the nearest integer?
5
What is the square root of 2615 to the nearest integer?
51
What is 21096 to the power of 1/3, to the nearest integer?
28
What is 1868 to the power of 1/2, to the nearest integer?
43
What is 460 to the power of 1/9, to the nearest integer?
2
What is 1805 to the power of 1/6, to the nearest integer?
3
What is the ninth root of 8575 to the nearest integer?
3
What is the eighth root of 74996 to the nearest integer?
4
What is 5947 to the power of 1/7, to the nearest integer?
3
What is the fourth root of 4039 to the nearest integer?
8
What is the seventh root of 1139 to the nearest integer?
3
What is 1152 to the power of 1/3, to the nearest integer?
10
What is the fifth root of 152492 to the nearest integer?
11
What is the square root of 1219 to the nearest integer?
35
What is the cube root of 525 to the nearest integer?
8
What is 5923 to the power of 1/4, to the nearest integer?
9
What is the square root of 53042 to the nearest integer?
230
What is the ninth root of 390 to the nearest integer?
2
What is the cube root of 4552 to the nearest integer?
17
What is the square root of 22342 to the nearest integer?
149
What is the ninth root of 3546 to the nearest integer?
2
What is the square root of 164451 to the nearest integer?
406
What is the square root of 2656 to the nearest integer?
52
What is the cube root of 34402 to the nearest integer?
33
What is 12034 to the power of 1/2, to the nearest integer?
110
What is 297 to the power of 1/2, to the nearest integer?
17
What is 13377 to the power of 1/4, to the nearest integer?
11
What is the third root of 1393 to the nearest integer?
11
What is 31435 to the power of 1/10, to the nearest integer?
3
What is 3322 to the power of 1/6, to the nearest integer?
4
What is the square root of 1957 to the nearest integer?
44
What is 32783 to the power of 1/7, to the nearest integer?
4
What is 24102 to the power of 1/9, to the nearest integer?
3
What is the cube root of 336 to the nearest integer?
7
What is 2874 to the power of 1/4, to the nearest integer?
7
What is 285 to the power of 1/10, to the nearest integer?
2
What is 1042 to the power of 1/2, to the nearest integer?
32
What is the sixth root of 1118 to the nearest integer?
3
What is the square root of 5534 to the nearest integer?
74
What is 10982 to the power of 1/10, to the nearest integer?
3
What is the third root of 6359 to the nearest integer?
19
What is the eighth root of 1414 to the nearest integer?
2
What is 2334 to the power of 1/4, to the nearest integer?
7
What is the seventh root of 1726 to the nearest integer?
3
What is the tenth root of 30320 to the nearest integer?
3
What is the cube root of 393 to the nearest integer?
7
What is 1060 to the power of 1/2, to the nearest integer?
33
What is the cube root of 6110 to the nearest integer?
18
What is 4539 to the power of 1/2, to the nearest integer?
67
What is 21543 to the power of 1/6, to the nearest integer?
5
What is 26706 to the power of 1/10, to the nearest integer?
3
What is the cube root of 561 to the nearest integer?
8
What is the cube root of 2453 to the nearest integer?
13
What is the cube root of 89963 to the nearest integer?
45
What is the seventh root of 7576 to the nearest integer?
4
What is the cube root of 493 to the nearest integer?
8
What is the eighth root of 467 to the nearest integer?
2
What is 3716 to the power of 1/2, to the nearest integer?
61
What is the cube root of 4363 to the nearest integer?
16
What is the cube root of 1581 to the nearest integer?
12
What is the third root of 310 to the nearest integer?
7
What is the cube root of 941 to the nearest integer?
10
What is the fifth root of 12926 to the nearest integer?
7
What is the seventh root of 10204 to the nearest integer?
4
What is the sixth root of 3040 to the nearest integer?
4
What is the third root of 6463 to the nearest integer?
19
What is 80302 to the power of 1/10, to the nearest integer?
3
What is 971 to the power of 1/2, to the nearest integer?
31
What is 564 to the power of 1/7, to the nearest integer?
2
What is 568 to the power of 1/6, to the nearest integer?
3
What is 1632 to the power of 1/5, to the nearest integer?
4
What is 21413 to the power of 1/6, to the nearest integer?
5
What is the square root of 40171 to the nearest integer?
200
What is 2390 to the power of 1/2, to the nearest integer?
49
What is the seventh root of 960 to the nearest integer?
3
What is the cube root of 28913 to the nearest integer?
31
What is the third root of 21648 to the nearest integer?
28
What is the cube root of 3534 to the nearest integer?
15
What is 20 to the power of 1/3, to the nearest integer?
3
What is the sixth root of 40481 to the
|
{
"pile_set_name": "DM Mathematics"
}
|
of 12535?
1
What is the tens digit of 10895?
9
What is the units digit of 2477?
7
What is the units digit of 7461?
1
What is the hundreds digit of 3522?
5
What is the hundreds digit of 49558?
5
What is the thousands digit of 9208?
9
What is the tens digit of 1078?
7
What is the tens digit of 3306?
0
What is the units digit of 1053?
3
What is the thousands digit of 7436?
7
What is the units digit of 7351?
1
What is the tens digit of 32185?
8
What is the units digit of 10030?
0
What is the tens digit of 989?
8
What is the thousands digit of 3443?
3
What is the hundreds digit of 495?
4
What is the tens digit of 1428?
2
What is the tens digit of 2979?
7
What is the tens digit of 2944?
4
What is the hundreds digit of 4294?
2
What is the thousands digit of 20327?
0
What is the units digit of 6864?
4
What is the hundreds digit of 2093?
0
What is the hundreds digit of 1613?
6
What is the tens digit of 1593?
9
What is the hundreds digit of 905?
9
What is the hundreds digit of 4373?
3
What is the hundreds digit of 38672?
6
What is the units digit of 14933?
3
What is the thousands digit of 73858?
3
What is the tens digit of 43170?
7
What is the hundreds digit of 46991?
9
What is the tens digit of 38?
3
What is the hundreds digit of 2408?
4
What is the tens digit of 18797?
9
What is the tens digit of 31889?
8
What is the units digit of 6160?
0
What is the hundreds digit of 31496?
4
What is the thousands digit of 4837?
4
What is the hundreds digit of 826?
8
What is the hundreds digit of 614?
6
What is the hundreds digit of 19769?
7
What is the thousands digit of 4722?
4
What is the tens digit of 30619?
1
What is the units digit of 9795?
5
What is the units digit of 1563?
3
What is the tens digit of 7240?
4
What is the units digit of 57?
7
What is the hundreds digit of 991?
9
What is the thousands digit of 1490?
1
What is the tens digit of 76934?
3
What is the ten thousands digit of 54853?
5
What is the tens digit of 938?
3
What is the units digit of 72555?
5
What is the thousands digit of 5567?
5
What is the tens digit of 5782?
8
What is the units digit of 9307?
7
What is the units digit of 1630?
0
What is the units digit of 493?
3
What is the thousands digit of 3042?
3
What is the thousands digit of 20305?
0
What is the tens digit of 7074?
7
What is the tens digit of 23859?
5
What is the tens digit of 556?
5
What is the hundreds digit of 2547?
5
What is the thousands digit of 2326?
2
What is the thousands digit of 2204?
2
What is the thousands digit of 1629?
1
What is the hundreds digit of 30328?
3
What is the hundreds digit of 763?
7
What is the hundreds digit of 579?
5
What is the hundreds digit of 1083?
0
What is the units digit of 3683?
3
What is the hundreds digit of 184?
1
What is the hundreds digit of 2644?
6
What is the ten thousands digit of 78919?
7
What is the ten thousands digit of 56895?
5
What is the tens digit of 594?
9
What is the hundreds digit of 7073?
0
What is the tens digit of 1038?
3
What is the units digit of 18108?
8
What is the units digit of 132004?
4
What is the hundreds digit of 3147?
1
What is the tens digit of 862?
6
What is the hundreds digit of 932?
9
What is the units digit of 18399?
9
What is the hundreds digit of 122737?
7
What is the thousands digit of 11608?
1
What is the units digit of 9310?
0
What is the tens digit of 89144?
4
What is the hundreds digit of 9103?
1
What is the tens digit of 555?
5
What is the thousands digit of 2798?
2
What is the hundreds digit of 3851?
8
What is the tens digit of 1024?
2
What is the tens digit of 13516?
1
What is the hundreds digit of 14067?
0
What is the tens digit of 64452?
5
What is the hundreds digit of 1852?
8
What is the thousands digit of 2807?
2
What is the hundreds digit of 2015?
0
What is the units digit of 11447?
7
What is the tens digit of 475?
7
What is the units digit of 121607?
7
What is the thousands digit of 67602?
7
What is the units digit of 21691?
1
What is the ten thousands digit of 131478?
3
What is the hundreds digit of 11103?
1
What is the thousands digit of 17448?
7
What is the units digit of 4413?
3
What is the ten thousands digit of 46377?
4
What is the units digit of 942?
2
What is the tens digit of 5153?
5
What is the thousands digit of 9702?
9
What is the units digit of 5342?
2
What is the tens digit of 7256?
5
What is the units digit of 1209?
9
What is the tens digit of 75388?
8
What is the tens digit of 14446?
4
What is the hundreds digit of 463?
4
What is the units digit of 2116?
6
What is the units digit of 3178?
8
What is the units digit of 14677?
7
What is the tens digit of 14085?
8
What is the tens digit of 4347?
4
What is the hundred thousands digit of 163927?
1
What is the tens digit of 3311?
1
What is the units digit of 14627?
7
What is the hundreds digit of 110?
1
What is the units digit of 11666?
6
What is the units digit of 8999?
9
What is the thousands digit of 4551?
4
What is the tens digit of 2348?
4
What is the thousands digit of 8448?
8
What is the thousands digit of 4631?
4
What is the hundreds digit of 635?
6
What is the tens digit of 2437?
3
What is the hundreds digit of 128285?
2
What is the ten thousands digit of 76263?
7
What is the thousands digit of 2179?
2
What is the hundreds digit of 7755?
7
What is the thousands digit of 1740?
1
What is the ten thousands digit of 63015?
6
What is the ten thousands digit of 29756?
2
What is the thousands digit of 1220?
1
What is the hundreds digit of 77090?
0
What is the tens digit of 15976?
7
What is the tens digit of 19967?
6
What is the hundreds digit of 957?
9
What is the thousands digit of 7442?
7
What is the thousands digit of 3201?
3
What is the hundreds digit of 667?
6
What is the hundreds digit of 8798?
7
What is the thousands digit of 39442?
9
What is the units digit of 4749?
9
What is the units digit of 6870?
0
What is the hundreds digit of 56830?
8
What is the tens digit of 6485?
8
What is the tens digit of 16929?
2
What is the hundreds digit of 4225?
2
What is the hundreds digit of 4897?
8
What is the thousands digit of 1390?
1
What is the tens digit of 1190?
9
What is the units digit of 242?
2
What is the hundreds digit of 1073?
0
What is the units digit of 9091?
1
What is the units digit of 23024?
4
What is the tens digit of 66850?
5
What is the units digit of 27136?
6
What is the hundreds digit of 839?
8
|
{
"pile_set_name": "DM Mathematics"
}
|
ge (-l**2 + 0*l**2 + 3*l**2)*(-6 + 6 - 7*l) - 2*l**3 - 4*l**3 + 5*l**3 to the form s + o*l**2 + r*l**3 + h*l and give r.
-15
Express ((24 - 31 - 39)*(4 - 4 - 1) - 2 + 0 + 4)*(-4*t**3 + 3*t**3 - 3*t**3) as u*t**3 + s*t + a*t**2 + y and give u.
-192
Rearrange (4*i - i - 4*i + (-7*i - 10*i + 6*i)*(1 - 7 + 4))*(4 - 6 - 4) to the form t + v*i and give v.
-126
Express 9*p**2 - 2*p**2 + 3*p**3 - 3*p**2 in the form w*p**3 + h*p + s*p**2 + t and give s.
4
Rearrange 3*l**3 + l - 8*l**4 - l**3 + 29*l**4 to the form u*l**2 + n*l + b*l**4 + g + q*l**3 and give q.
2
Express 56*x**2 - 20*x**2 + x - 17*x**2 - 2 - 15*x**2 in the form c*x**2 + i*x + g and give c.
4
Express -3*v + 2 - 9*v + 6*v in the form b + t*v and give b.
2
Rearrange -5*y - 4*y + 3*y to n + p*y and give p.
-6
Rearrange l**3 - l**4 - 39 - 3*l**2 + 39 + 7*l to the form k*l**4 + b*l**3 + h*l**2 + i*l + r and give b.
1
Rearrange -8*a - a**3 + a - a**3 + 0*a to l*a + f*a**3 + s*a**2 + n and give f.
-2
Rearrange -5 + 2*x + 3 + 8*x**2 + 0 - 6*x**2 to l*x + q + k*x**2 and give k.
2
Express -o**2 - 1 + 1 + 3*o - 3*o + 8*o**2 - 5*o + 5*o + 4*o**2 + (-3 + o + 3)*(o - 4*o + 2*o) in the form j*o**2 + l*o + g and give j.
10
Express -2 + 2 - 2*a**2 + 0*a**2 + 12*a + 5*a + a**2 + (3*a + a - 3*a)*(3*a - 2*a - 2*a) - a**2 + 0*a + 0*a in the form p + y*a**2 + m*a and give y.
-3
Express 23*q**2 - 73*q**2 + 15*q**2 + (0 + 0 - 2*q)*(3 + q - 3) - q**2 - 3*q + 3*q as d*q**2 + w*q + g and give d.
-38
Express x - x - x in the form j + p*x and give p.
-1
Express -20*f + 20*f - 3*f**2 as k + y*f**2 + l*f and give y.
-3
Rearrange (13 + 3*i + 3*i - 12)*(-11*i**2 + 6*i**2 + 6*i**2) to the form g*i + r + p*i**3 + u*i**2 and give p.
6
Rearrange h + 3*h - 2*h - h**3 - 1 + 2*h**4 + 0 + 5*h**2 to the form c*h**4 + m*h**3 + y*h + q*h**2 + a and give c.
2
Rearrange (-5 + 3 - 16)*(0*t**3 + 3*t**3 - t**3) to the form y*t + j*t**2 + f*t**3 + q and give f.
-36
Express 63 - g - 63 in the form j + k*g and give k.
-1
Rearrange (-3 - 2 + 3)*(0 - 3 + 1)*(2*i - 6*i + 3*i) to s*i + h and give s.
-4
Express (-4*m + 4*m + 2*m)*(-44*m**3 - 20*m**3 + 24*m**3) in the form u*m + d*m**3 + o*m**2 + j*m**4 + b and give j.
-80
Rearrange 6*y + 9*y + 0*y to the form n + a*y and give a.
15
Rearrange -x**2 - x**2 + 4*x**2 + x - x + 3*x**2 + (2*x - 4*x + 4*x)*(-5*x + x + 5*x) + 4*x**2 + 1 - 1 to u*x + f*x**2 + j and give f.
11
Rearrange (0 + y**2 + 0 + (2*y**2 - 5*y**2 + 4*y**2)*(-1 + 5 - 2) + 469*y - 16*y**2 - 469*y)*(y - y - 2*y) to t*y**2 + c*y + i*y**3 + l and give i.
26
Rearrange 1 - y**3 + 29*y**2 - y - 29*y**2 - y to s*y**2 + b + p*y + t*y**3 and give p.
-2
Rearrange (-1 - 6 + 14)*(l + 0*l - 3*l) to q*l + d and give q.
-14
Express (64*b - 119*b + 62*b)*(-2*b + 2 - 2) as w*b**2 + v + i*b and give w.
-14
Express g**4 + 3*g**3 - 2*g**4 - 8*g**3 + g as w*g**2 + p*g + t*g**3 + o*g**4 + z and give p.
1
Express (-2*v**2 + 0*v**2 + 5*v**2)*(12 - 8*v - 8 - 3) in the form r*v**3 + j*v**2 + c*v + n and give c.
0
Express (-1 + 1 - 2)*(-2*x**2 + 0*x + 0*x)*(6*x + 3*x - 4*x) as s*x + i*x**3 + b + p*x**2 and give i.
20
Rearrange (-3*d + d**2 + 5*d + 0*d + 1)*(-3*d + 3*d + 5*d)*(-3 + 1 + 1) to z*d**2 + u + v*d**3 + a*d and give v.
-5
Express 5*j**3 - 6 - j**2 + 4 + 3 + 3*j**2 in the form d + b*j + z*j**2 + l*j**3 and give l.
5
Rearrange (-f + 7*f - 3*f)*(-2 + 2 - 2*f**2 + 6*f) to the form w*f + c + p*f**2 + i*f**3 and give i.
-6
Rearrange p**2 + 11*p**3 + p**2 + 0*p**2 to the form v + h*p**2 + c*p + a*p**3 and give h.
2
Rearrange (30 + 17*p - 30)*(3 - 2 - 2) to h*p + y and give h.
-17
Rearrange 2*i**2 + 2*i**2 - 6*i**2 + (0*i + i + i)*(3*i - 5*i - 4*i) - i**2 - 10*i**2 - i**2 to t + u*i**2 + r*i and give u.
-26
Express 7 + 6*v + 8 + 7 - 26 - 2*v**4 in the form g*v**2 + m*v + q + b*v**3 + w*v**4 and give w.
-2
Rearrange (-7 - 10 + 0)*(6*v**3 + 4*v**2 - 4*v**2) to y*v + t*v**2 + m + w*v**3 and give w.
-102
Rearrange 23*l**2 - 42*l
|
{
"pile_set_name": "DM Mathematics"
}
|
5411776 to the power of 1/9, to the nearest integer?
6
What is the third root of 72495 to the nearest integer?
42
What is 5118718 to the power of 1/5, to the nearest integer?
22
What is the cube root of 3009397 to the nearest integer?
144
What is the cube root of 28898298 to the nearest integer?
307
What is 171808 to the power of 1/5, to the nearest integer?
11
What is 36852389 to the power of 1/8, to the nearest integer?
9
What is the ninth root of 28517239 to the nearest integer?
7
What is the fourth root of 49929 to the nearest integer?
15
What is 3775867 to the power of 1/2, to the nearest integer?
1943
What is 5470742 to the power of 1/2, to the nearest integer?
2339
What is the fourth root of 29134857 to the nearest integer?
73
What is 1342990 to the power of 1/6, to the nearest integer?
11
What is 6311987 to the power of 1/6, to the nearest integer?
14
What is the ninth root of 3646496 to the nearest integer?
5
What is 2356947 to the power of 1/3, to the nearest integer?
133
What is the sixth root of 3502531 to the nearest integer?
12
What is the square root of 29903 to the nearest integer?
173
What is the eighth root of 126528 to the nearest integer?
4
What is 1427739 to the power of 1/5, to the nearest integer?
17
What is the sixth root of 3913939 to the nearest integer?
13
What is the third root of 782879 to the nearest integer?
92
What is the seventh root of 216809 to the nearest integer?
6
What is 19656784 to the power of 1/8, to the nearest integer?
8
What is the square root of 2077414 to the nearest integer?
1441
What is 193085 to the power of 1/2, to the nearest integer?
439
What is the square root of 1368998 to the nearest integer?
1170
What is the seventh root of 163530 to the nearest integer?
6
What is the square root of 770596 to the nearest integer?
878
What is the sixth root of 181092 to the nearest integer?
8
What is the square root of 27458648 to the nearest integer?
5240
What is 5756242 to the power of 1/2, to the nearest integer?
2399
What is the tenth root of 20145343 to the nearest integer?
5
What is the square root of 159867 to the nearest integer?
400
What is 906266 to the power of 1/3, to the nearest integer?
97
What is the square root of 7015589 to the nearest integer?
2649
What is the third root of 953156 to the nearest integer?
98
What is the cube root of 1094584 to the nearest integer?
103
What is the square root of 546913 to the nearest integer?
740
What is the square root of 814524 to the nearest integer?
903
What is the third root of 194674 to the nearest integer?
58
What is the tenth root of 2686309 to the nearest integer?
4
What is 357845 to the power of 1/2, to the nearest integer?
598
What is the square root of 7555011 to the nearest integer?
2749
What is 7184743 to the power of 1/2, to the nearest integer?
2680
What is the cube root of 4940573 to the nearest integer?
170
What is the fourth root of 5247600 to the nearest integer?
48
What is the ninth root of 358178 to the nearest integer?
4
What is 1533344 to the power of 1/8, to the nearest integer?
6
What is the fourth root of 857738 to the nearest integer?
30
What is 3268407 to the power of 1/3, to the nearest integer?
148
What is the cube root of 5662058 to the nearest integer?
178
What is the square root of 541373 to the nearest integer?
736
What is the square root of 6465954 to the nearest integer?
2543
What is 363654 to the power of 1/2, to the nearest integer?
603
What is the sixth root of 433324 to the nearest integer?
9
What is the cube root of 203940 to the nearest integer?
59
What is 15278048 to the power of 1/2, to the nearest integer?
3909
What is 7191 to the power of 1/3, to the nearest integer?
19
What is 7505851 to the power of 1/3, to the nearest integer?
196
What is 274211 to the power of 1/9, to the nearest integer?
4
What is 576956 to the power of 1/10, to the nearest integer?
4
What is the square root of 12773 to the nearest integer?
113
What is the square root of 762376 to the nearest integer?
873
What is the square root of 556003 to the nearest integer?
746
What is 1369035 to the power of 1/4, to the nearest integer?
34
What is the fourth root of 2742198 to the nearest integer?
41
What is the square root of 266790 to the nearest integer?
517
What is the seventh root of 296066 to the nearest integer?
6
What is 52296 to the power of 1/4, to the nearest integer?
15
What is the square root of 8879656 to the nearest integer?
2980
What is the square root of 2338815 to the nearest integer?
1529
What is the square root of 8810522 to the nearest integer?
2968
What is 7061709 to the power of 1/3, to the nearest integer?
192
What is the square root of 8703856 to the nearest integer?
2950
What is the square root of 6198918 to the nearest integer?
2490
What is 171103 to the power of 1/3, to the nearest integer?
56
What is the fourth root of 3493983 to the nearest integer?
43
What is 567676 to the power of 1/2, to the nearest integer?
753
What is the cube root of 2034511 to the nearest integer?
127
What is the fifth root of 5819238 to the nearest integer?
23
What is the tenth root of 1363278 to the nearest integer?
4
What is 24398510 to the power of 1/2, to the nearest integer?
4939
What is 85516 to the power of 1/2, to the nearest integer?
292
What is the tenth root of 1029154 to the nearest integer?
4
What is the cube root of 97350 to the nearest integer?
46
What is the cube root of 93278 to the nearest integer?
45
What is the cube root of 303784 to the nearest integer?
67
What is the square root of 5910041 to the nearest integer?
2431
What is the tenth root of 566128 to the nearest integer?
4
What is the fifth root of 843227 to the nearest integer?
15
What is the third root of 197452 to the nearest integer?
58
What is the sixth root of 1999976 to the nearest integer?
11
What is the square root of 402977 to the nearest integer?
635
What is 2602487 to the power of 1/2, to the nearest integer?
1613
What is 573349 to the power of 1/2, to the nearest integer?
757
What is the seventh root of 573067 to the nearest integer?
7
What is 814332 to the power of 1/10, to the nearest integer?
4
What is the eighth root of 34277741 to the nearest integer?
9
What is 5463774 to the power of 1/9, to the nearest integer?
6
What is the third root of 1355382 to the nearest integer?
111
What is 156954 to the power of 1/2, to the nearest integer?
396
What is the fourth root of 173579 to the nearest integer?
20
What is the ninth root of 814302 to the nearest integer?
5
What is the cube root of 26712627 to the nearest integer?
299
What is 3347097 to the power of 1/2, to the nearest integer?
1830
What is the cube root of 373380 to the nearest integer?
72
What is the square root of 966865 to the nearest integer?
983
What is 662001 to the power of 1/10, to the nearest integer?
4
What is the third root of 22533 to the nearest integer?
28
What is 5574529 to the power of 1/7, to the
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose 2*q - b = -0. Solve -q*d - 24 = -4 for d.
-5
Suppose -3*b - 3 = -18. Suppose -2*a + 6*a - 5*x + 19 = 0, b*a + 8 = x. Let n be (0 - 1)*(a + 1). Solve n = -2*i - 0 - 2 for i.
-1
Suppose 0 = 5*t + a - 38, 4*a = 3*t - 0*a - 32. Let g be 78/t + 33/(-44). Let q = g + -8. Solve 3*x - 2 = q for x.
1
Let s = -649 - -669. Solve -15 = s*u - 17*u for u.
-5
Let q(h) = h**3 + 31*h**2 - 64*h + 75. Let c be q(-33). Solve c*m - 3*m = -11*m for m.
0
Suppose 5*h = 5*r - 10, 15*h - 8 = -2*r + 19*h. Solve -2*n - 2*n = r for n.
0
Let j = 53 + -47. Suppose -j*p + 8*p - 12 = 0. Solve p = 3*y - 6*y for y.
-2
Suppose 13*f + 3*u - 8 = 9*f, 5*f + 4*u - 9 = 0. Solve 6*o = f*o - 4 for o.
-4
Suppose -5*k = 2*g - 2 - 23, 0 = 2*k - 5*g - 10. Solve 6*h + k = h for h.
-1
Let w(s) = s - 10. Let n be w(20). Suppose -n*f + 6*f + 16 = 0. Solve 0*y = -f*y - 8 for y.
-2
Let q = -374 - -380. Solve q = 3*v - v for v.
3
Let y(t) = t**3 - 3*t**2 - t + 1. Let n be y(4). Let q = n + -11. Suppose q*s + s = 0. Solve 4*o - 6 + 2 = s for o.
1
Suppose 2 = 2*d, -4*t + 7*t + 13 = -2*d. Let p be 4/(-2) + 9 + t. Suppose 5*a - a = -3*m + p, 5*m - 5 = -5*a. Solve -m*r + 6*r = 20 for r.
5
Let r(i) = i**3 + 12*i**2 + 12*i + 15. Let h be -15 - (-12)/9*3. Let d be r(h). Solve -d = -6*c + 2*c for c.
1
Let i = -751 + 774. Solve -8*h = 7 - i for h.
2
Let s(b) = b**3 - 6*b**2 - 7*b. Suppose -2*x - 14 = -4*x. Let v be s(x). Solve 5*i - 3 - 7 = v for i.
2
Let r(u) = -51*u - 43 - 26 + 5 + 58*u. Let q be r(10). Solve 7*s - q*s + 4 = 0 for s.
-4
Let r(t) = -4*t - 1. Let u(x) = -x. Let p(n) = -r(n) + 2*u(n). Let q be 2/(6/(-3))*-4. Let m be p(q). Solve c - 4*c = -m for c.
3
Let r be 23/1 + 13 + -4. Solve -40*o = -r*o - 16 for o.
2
Suppose 3*x - f - 13 = 0, -2*x + f + 6 = -f. Solve 33 = x*g + 28 for g.
1
Let t(j) = j**2 - 44*j + 47. Let x be t(43). Solve 11 = -x*c + 19 for c.
2
Suppose -m - 40 = 22. Let q be m/(-10) - 36/(-45). Solve q + 1 = -2*h for h.
-4
Suppose 2*c - 179 = r + 420, r = -2*c + 605. Suppose -4*h + 2*h + 3*d = c, 0 = 3*h + 5*d + 404. Let b be (-31)/(-11) - 26/h. Solve -b*k = -0*k for k.
0
Let x(p) be the second derivative of -p**4/12 + 2*p**3/3 + 15*p**2/2 - 27*p. Let q be x(6). Solve 9 = -q*u - 6 for u.
-5
Suppose 0 = 19*r - 39 + 20. Solve 7 = -2*a + r for a.
-3
Suppose -53 = -4*h + 39. Solve -3 + h = 4*n for n.
5
Suppose -3*i + i + 12 = 0. Let b be (2 - 3)/(1/2) + -68. Let z = 70 + b. Solve z = 3*s - i - 6 for s.
4
Let a = -71 - -84. Suppose 0 = -3*p + r + 9, 2*r = -p - 3*r - a. Solve v + p = 3*v for v.
1
Let g(b) = b**2 + 1. Let t be g(-2). Let l be (4/t)/(24/60). Let v be 1 + (1 - (-3 - -1)). Solve -l*j + 3*j + v = 0 for j.
-4
Suppose -5*p - 20*l = -19*l - 67, 4*p = -4*l + 60. Solve 3*v - p - 2 = 0 for v.
5
Suppose -6*i = -4*i - 2. Let a be 30/36 + (i + 1)/12. Let m be 0*(1/2)/(-1). Solve 4*r - 3*r - a = m for r.
1
Suppose 0 = 2*u - o + 11, -2*u + 3*o - 3 - 18 = 0. Let p = u - -6. Solve 3*k - p + 12 = 0 for k.
-3
Let r = -2567 + 1464. Let w = r + 711. Let p be w/(-16) + (-2)/(-4). Solve 4*m = -m - p for m.
-5
Let d = -422 + 422. Solve -6*r - 3 + 21 = d for r.
3
Let z(v) = v + 24. Let i be z(9). Let a = 38 - i. Solve 4*r = -r + a for r.
1
Let g be (-3)/(-1 + 54/57). Suppose g = 8*t - 31. Solve 4*b + 1 = -t for b.
-3
Suppose -2*p - 3*p = -x - 17, p = 3*x - 5. Suppose -2*d = 2*d - 4. Suppose -x*q - 1 - d = -5*c, -3*q = -2*c - 1. Solve -m = 5 - q for m.
-4
Suppose 2*q + 36 = 98. Solve 3*m + 19 = q for m.
4
Suppose -67*d = -71*d + 8. Suppose 0 = 3*g - 5*z - 28, -3*z - 7 = -2*g - d*z. Solve -y - 5 + g = 0 for y.
-4
Let j = -5 + 1. Let l be (-9)/2*j/(-6). Let d be 9 - 4/((-4)/l). Solve -2*h + d = -2 for h.
4
Let q = -89 - -73. Let x be (-4)/q + (-153)/(-24)*2. Solve 5*m + x + 12 = 0 for m.
-5
Let g(k) = k**2 - 7*k + 1. Let l be g(7). Let c be 1/(-2)*(0 + 2) + l. Solve c = -y - 1 for y.
-1
Let g(p) = p - 11. Let s be g(13). Suppose -s*h + q = -h - 2, 2*q = -3*h + 26. Let k be 2 + 20/h*3. Solve 6*y - 3*y - k = 0 for y.
4
Let b = -196 - -181. Suppose 0 = 4*v + 5*o - 79, -3
|
{
"pile_set_name": "DM Mathematics"
}
|
tween -17025 and 0.828?
17025.828
What is 1327055 minus -505?
1327560
Put together -14 and -1010559628.
-1010559642
Calculate 116543640 + -1.5.
116543638.5
Sum -11 and 11.733864.
0.733864
What is 2699 minus 1.544341?
2697.455659
Calculate 6.092 + -274.49.
-268.398
-17732 - 318.86
-18050.86
What is -0.6804067 - 0.2341?
-0.9145067
Calculate -1 - -999317935.
999317934
11.35+147.713
159.063
0.5 - 34846598
-34846597.5
Calculate 219.56659 + -4.
215.56659
What is the distance between 15331780 and -0.43?
15331780.43
Add together 0.3 and -5035.673.
-5035.373
Total of 3 and -3837405390.
-3837405387
Put together -51.1520374 and 7.3.
-43.8520374
-206 + 101935
101729
Work out 9231 - 1133016.
-1123785
Work out -702 + 54006.
53304
Work out -0.03 - 0.020396.
-0.050396
What is 4 less than 0.36951776?
-3.63048224
What is -43465549.55 take away 6?
-43465555.55
Add -1 and -2.01955063.
-3.01955063
What is 198605 take away 424?
198181
Add together 0.0674 and -47344.
-47343.9326
Work out 50.01 + -49544.
-49493.99
Subtract -80176 from -330253.
-250077
Work out 1.13817 - 196026.
-196024.86183
Calculate 0.2 - 577757340.
-577757339.8
What is -2 take away 77.35791826?
-79.35791826
Add together -27742668 and 2.478.
-27742665.522
Add together 5 and 241457.4.
241462.4
Total of 1719.3447 and -1.
1718.3447
What is -2.653060195 minus -0.4?
-2.253060195
What is 166580329 minus -0.42?
166580329.42
Work out -702.358 - 98.
-800.358
What is 5682609 take away 0.2?
5682608.8
1 - 12662989209
-12662989208
What is 331103.83 minus -0.4?
331104.23
Calculate 0.6358 + 26734.
26734.6358
What is -1800.883 plus 63?
-1737.883
-179 + 1975.1649
1796.1649
What is -163435758 - 3.7?
-163435761.7
What is the difference between -1641.424 and -14198?
12556.576
-274315 + -270
-274585
Calculate 26 + 208262574.
208262600
Calculate -613 - -86.2.
-526.8
Calculate 38254374 + 11.
38254385
-10 + 3106182424
3106182414
Add together 3782034329 and -0.26.
3782034328.74
Calculate 1433 + 799.055.
2232.055
138881.27 - -30
138911.27
What is 10.1 take away 4620.0564?
-4609.9564
What is 11913717667 less than -0.2?
-11913717667.2
-20 - 858503
-858523
-0.0634+0.3393
0.2759
Work out -9.196 - 1109887.
-1109896.196
Add together 34301234 and 9.17.
34301243.17
Calculate 76 - 173937632.
-173937556
-14.852 + 32.8
17.948
-3632+-2790185
-2793817
What is 96.2252894 - -21?
117.2252894
Work out -0.2 + -339851844.
-339851844.2
What is 124.3 + 1431799?
1431923.3
Work out -29.207 + 1185754.
1185724.793
426414905 - 7
426414898
What is the difference between -0.2 and -157.12296?
156.92296
What is -0.5 plus -4905705780?
-4905705780.5
What is -83 - 1833472?
-1833555
Add 4110865941 and -0.3.
4110865940.7
What is -4.2815 + -3.9162?
-8.1977
What is -0.4 take away -48277252?
48277251.6
What is -2016 take away 2.16?
-2018.16
What is the distance between -0.5 and -182266.6?
182266.1
What is -0.2609 + -22.023?
-22.2839
What is 754878872 + 0.1?
754878872.1
Calculate 0.0453169 - 5.
-4.9546831
What is 2560398 take away 0.4?
2560397.6
What is -4437722 minus -2673?
-4435049
What is -0.4 take away 4486738206?
-4486738206.4
Add together -8370846944 and -0.1.
-8370846944.1
379610+-60.1
379549.9
Add together 13.7 and -99510.
-99496.3
Subtract 4.37 from -0.1905632.
-4.5605632
Add together -153 and 422785.
422632
What is -21117 take away -906?
-20211
What is the distance between 211 and 3.991928?
207.008072
Add -355418 and -55.
-355473
What is -1.1 + -77101.05?
-77102.15
12657593 + -351
12657242
What is 34881.203 + 1?
34882.203
Subtract -0.08 from -0.009838767.
0.070161233
What is the difference between 156.363646 and 0.3?
156.063646
Subtract 3 from 7467.73.
7464.73
What is -20189 take away -8.7529?
-20180.2471
Work out 117 - -113023267.
113023384
Calculate 33.95 - 1497.8.
-1463.85
What is -7 + 0.91377219?
-6.08622781
What is 2.6 - 123997.1?
-123994.5
Add together -0.04 and 2026382.
2026381.96
What is 7.2 - 219478420?
-219478412.8
What is 6 plus 0.081964797?
6.081964797
Add together 14210.88 and 38.7.
14249.58
Put together 0.9423 and 0.13024.
1.07254
Calculate -1609.04231 - 5.
-1614.04231
What is -0.3 minus 243716.42964?
-243716.72964
Calculate 1314.04 + 487.502.
1801.542
Total of -77447949 and -50.
-77447999
Work out -1 - 12173.277.
-12174.277
-704683 - -14.596
-704668.404
What is -43 minus 31334293?
-31334336
What is 0.119868 take away 159?
-158.880132
What is -0.3 minus -255433603?
255433602.7
Total of 2016735496 and -21.
2016735475
Add together -144.57 and -50.929.
-195.499
Total of -4997 and 19208
|
{
"pile_set_name": "DM Mathematics"
}
|
nutes are there between 3:33 AM and 8:10 AM?
277
How many minutes are there between 7:45 AM and 11:14 AM?
209
What is 482 minutes before 4:13 AM?
8:11 PM
How many minutes are there between 10:42 AM and 8:01 PM?
559
What is 277 minutes before 9:47 PM?
5:10 PM
How many minutes are there between 8:44 AM and 11:09 AM?
145
What is 595 minutes before 11:47 AM?
1:52 AM
What is 559 minutes before 11:28 AM?
2:09 AM
How many minutes are there between 9:12 AM and 10:50 AM?
98
What is 376 minutes after 10:39 PM?
4:55 AM
How many minutes are there between 3:06 PM and 11:17 PM?
491
How many minutes are there between 4:05 AM and 1:04 PM?
539
How many minutes are there between 5:42 PM and 4:42 AM?
660
What is 630 minutes after 4:50 AM?
3:20 PM
How many minutes are there between 4:55 PM and 8:18 PM?
203
What is 588 minutes before 6:53 AM?
9:05 PM
How many minutes are there between 6:22 AM and 2:08 PM?
466
How many minutes are there between 5:26 PM and 2:46 AM?
560
What is 670 minutes before 1:05 AM?
1:55 PM
How many minutes are there between 11:51 AM and 6:41 PM?
410
How many minutes are there between 8:51 AM and 2:33 PM?
342
How many minutes are there between 12:33 AM and 3:01 AM?
148
How many minutes are there between 12:35 AM and 4:06 AM?
211
What is 639 minutes after 3:09 PM?
1:48 AM
How many minutes are there between 2:44 AM and 5:00 AM?
136
How many minutes are there between 2:42 PM and 10:52 PM?
490
What is 42 minutes before 3:34 PM?
2:52 PM
How many minutes are there between 1:12 AM and 5:25 AM?
253
What is 9 minutes after 11:42 PM?
11:51 PM
How many minutes are there between 7:52 PM and 1:45 AM?
353
What is 166 minutes after 4:55 AM?
7:41 AM
How many minutes are there between 5:18 AM and 10:27 AM?
309
What is 665 minutes after 9:24 PM?
8:29 AM
How many minutes are there between 9:26 PM and 7:36 AM?
610
What is 514 minutes before 2:32 PM?
5:58 AM
How many minutes are there between 3:57 AM and 2:57 PM?
660
How many minutes are there between 6:19 PM and 1:17 AM?
418
How many minutes are there between 6:25 AM and 9:36 AM?
191
What is 652 minutes before 7:59 AM?
9:07 PM
What is 194 minutes after 7:19 PM?
10:33 PM
What is 56 minutes before 11:35 PM?
10:39 PM
How many minutes are there between 3:31 AM and 3:42 AM?
11
How many minutes are there between 12:03 PM and 5:28 PM?
325
What is 458 minutes before 2:13 PM?
6:35 AM
What is 264 minutes after 8:26 PM?
12:50 AM
What is 145 minutes after 2:44 AM?
5:09 AM
How many minutes are there between 3:31 AM and 11:52 AM?
501
How many minutes are there between 3:12 PM and 3:52 PM?
40
How many minutes are there between 9:48 AM and 6:57 PM?
549
How many minutes are there between 3:58 AM and 6:59 AM?
181
What is 11 minutes after 6:09 AM?
6:20 AM
How many minutes are there between 12:29 AM and 2:46 AM?
137
How many minutes are there between 9:01 AM and 1:59 PM?
298
How many minutes are there between 11:29 AM and 2:43 PM?
194
What is 456 minutes after 7:09 PM?
2:45 AM
How many minutes are there between 3:03 AM and 12:55 PM?
592
How many minutes are there between 11:48 PM and 11:16 AM?
688
What is 625 minutes after 1:02 AM?
11:27 AM
What is 10 minutes before 2:47 AM?
2:37 AM
How many minutes are there between 1:14 AM and 3:59 AM?
165
What is 557 minutes before 6:49 AM?
9:32 PM
What is 423 minutes after 8:07 PM?
3:10 AM
How many minutes are there between 5:38 PM and 4:05 AM?
627
What is 136 minutes after 6:40 PM?
8:56 PM
How many minutes are there between 5:18 AM and 10:46 AM?
328
What is 355 minutes after 1:25 PM?
7:20 PM
What is 184 minutes after 11:39 AM?
2:43 PM
How many minutes are there between 1:12 PM and 12:19 AM?
667
How many minutes are there between 12:19 AM and 6:18 AM?
359
What is 474 minutes before 11:23 PM?
3:29 PM
What is 44 minutes after 4:28 AM?
5:12 AM
How many minutes are there between 2:27 AM and 9:07 AM?
400
What is 354 minutes after 9:33 AM?
3:27 PM
How many minutes are there between 10:26 PM and 8:42 AM?
616
How many minutes are there between 1:33 PM and 4:23 PM?
170
How many minutes are there between 3:10 AM and 1:15 PM?
605
What is 610 minutes after 9:53 AM?
8:03 PM
How many minutes are there between 5:11 AM and 10:34 AM?
323
How many minutes are there between 1:52 PM and 3:14 PM?
82
How many minutes are there between 2:08 PM and 11:24 PM?
556
What is 618 minutes after 10:18 PM?
8:36 AM
What is 568 minutes before 2:06 AM?
4:38 PM
How many minutes are there between 3:13 AM and 11:29 AM?
496
What is 49 minutes before 2:52 AM?
2:03 AM
How many minutes are there between 1:37 AM and 9:10 AM?
453
How many minutes are there between 3:58 AM and 3:26 PM?
688
How many minutes are there between 1:13 PM and 9:05 PM?
472
What is 705 minutes after 1:46 PM?
1:31 AM
What is 709 minutes after 4:15 PM?
4:04 AM
How many minutes are there between 7:15 PM and 5:58 AM?
643
What is 503 minutes after 2:29 PM?
10:52 PM
How many minutes are there between 3:22 AM and 2:47 PM?
685
What is 283 minutes after 6:24 AM?
11:07 AM
What is 325 minutes after 8:53 PM?
2:18 AM
How many minutes are there between 4:07 AM and 3:36 PM?
689
What is 423 minutes after 4:13 AM?
11:16 AM
How many minutes are there between 11:15 AM and 12:04 PM?
49
How many minutes are there between 5:49 AM and 2:16 PM?
507
What is 672 minutes after 4:06 PM?
3:18 AM
What is 92 minutes after 3:48 PM?
5:20 PM
How many minutes are there between 11:53 AM and 5:06 PM?
313
How many minutes are there between 12:47 PM and 5:39 PM?
292
How many minutes are there between 7:15 AM and 12:06 PM?
291
What is 680 minutes after 4:47 AM?
4:07 PM
How many minutes are there between 5:51 AM and 9:05 AM?
194
What is 318 minutes after 8:21 PM?
1:39 AM
How many minutes are there between 3:49 PM and 12:56 AM?
547
What is 388 minutes after 6:19 PM?
12:47 AM
What is 557 minutes after 5:23 AM?
2:40 PM
How many minutes are there between 11:38 AM and 5:03 PM?
325
How many minutes are there between 10:40 PM and 9:19 AM?
639
What is 517 minutes before 1:09 PM?
4:32 AM
What is 25 minutes before 4:46 PM?
4:21 PM
What is 371 minutes after 2:38 AM?
8:49 AM
What is 332 minutes after 3:54 PM?
9:26 PM
What is 704 minutes after 7:52 PM?
7
|
{
"pile_set_name": "DM Mathematics"
}
|
3*t - 11220*r*t
What is the third derivative of 456*b*d**3*o + 2*b*d**2*o - 1785*b*o - d**3*o wrt d?
2736*b*o - 6*o
Find the third derivative of -2*c*l**4 + c*l**2 - 9*c*l - 1616*l**3 - 2*l**2 - 18 wrt l.
-48*c*l - 9696
Find the third derivative of -43*z**3 + 10484*z**2.
-258
Find the second derivative of 18*h**2*i**4 - 17*h**2*i**2 + 1831*h**2 + 5*h*i wrt i.
216*h**2*i**2 - 34*h**2
Find the second derivative of 17*r**3 - r**2 + 421*r.
102*r - 2
What is the derivative of -1513*i + 1132 wrt i?
-1513
What is the derivative of -2*q*y**4 - 2*q*y**2 - q - 262*y**4 + 199 wrt y?
-8*q*y**3 - 4*q*y - 1048*y**3
What is the third derivative of -b**6 + 3658*b**4*w + 960*b**2*w - b*w - 2*w wrt b?
-120*b**3 + 87792*b*w
What is the second derivative of -9*i**5 + 22*i**4 - 2274*i?
-180*i**3 + 264*i**2
Find the third derivative of -i**4*y + 2*i**4 + 3*i**3*y - 68*i**3 + 2*i**2*y + i*y + 190*i wrt i.
-24*i*y + 48*i + 18*y - 408
What is the second derivative of 2*f*q*t**2*w**2 - 3*f*q*t*w + f*q - 2*f*t*w - 5*f*w**2 + 2*q*t**2*w - 448*t**2*w**2 + t*w**2 wrt t?
4*f*q*w**2 + 4*q*w - 896*w**2
What is the second derivative of 1363*j**3*o**3 + 5326*j**3*o + j**3 - 2*o**3 wrt o?
8178*j**3*o - 12*o
What is the third derivative of 259*n**3 + 49*n**2 wrt n?
1554
What is the third derivative of 63*i**6*x**3 - 104*i**4*x**3 - i**2*x**3 - 3*i**2*x - x**3 - 13*x**2 wrt i?
7560*i**3*x**3 - 2496*i*x**3
Differentiate -2696*a**2 + 1817.
-5392*a
What is the derivative of -794*n - 634?
-794
What is the derivative of -2*a*g*h + 79*a*g - 7*a*h - 2*a - g wrt h?
-2*a*g - 7*a
Find the third derivative of -5*i*n**6 - 39*i*n**5 + 3*i - 68*n**2 wrt n.
-600*i*n**3 - 2340*i*n**2
What is the second derivative of -163*x**2 - 12*x - 9 wrt x?
-326
Find the third derivative of -16*b**4*n - 16*b**3 + 3*b**2*n - 2*b + 14*n wrt b.
-384*b*n - 96
Find the second derivative of -1196*m**2 - 21*m + 9 wrt m.
-2392
Differentiate -5*t**4 - 220*t + 7522.
-20*t**3 - 220
What is the second derivative of 2*s**4 - 208*s**2 + 35*s?
24*s**2 - 416
What is the first derivative of -47*x**2 - 2*x - 87 wrt x?
-94*x - 2
Find the third derivative of -3417*n**6 + 2*n**4*u**3 + n**2*u**3 + 116*n**2*u**2 - 13*n*u wrt n.
-410040*n**3 + 48*n*u**3
Differentiate 671*x**4 - 517 wrt x.
2684*x**3
Find the second derivative of -2*j*r**3*v**2 + 2*j*r**2*v - 2*j*r**2 + 3*j*r*v**2 - 17*r**3*v - 7*r**2*v**3 - 2*r*v wrt v.
-4*j*r**3 + 6*j*r - 42*r**2*v
Find the second derivative of -2*b**3*x**4 - 11*b**3*x**2 + 12*b**3 - 3*b*x**2 - 2*b*x wrt x.
-24*b**3*x**2 - 22*b**3 - 6*b
What is the second derivative of -454*c**4*o - 2*c**2*o - 25*c*o - 13 wrt c?
-5448*c**2*o - 4*o
What is the second derivative of -946*j**3*s**2 + 161*j**3*s + 2*j**3 + j*s + 9 wrt s?
-1892*j**3
Differentiate -50*s**4 - 624.
-200*s**3
What is the first derivative of 412*n*q**2 - 3*q**2 + 197*q wrt n?
412*q**2
Find the first derivative of -q**3 + 2*q**2 + 185.
-3*q**2 + 4*q
Find the second derivative of -328*t**4 - 2*t + 48.
-3936*t**2
Find the third derivative of -2*g**5 + 1664*g**3*k*u + 368*g**2*u - 2*k*u wrt g.
-120*g**2 + 9984*k*u
What is the derivative of -59*q**3 + 32?
-177*q**2
What is the derivative of -1004*r + 1322?
-1004
Find the third derivative of 403*z**3 - 12*z**2 - 2 wrt z.
2418
Find the first derivative of -2*a*m - 117*a*s**2 - 2*m*s**2 - 84*m + 2 wrt s.
-234*a*s - 4*m*s
What is the derivative of -464*c*s**3 - 1744*s**3 wrt c?
-464*s**3
Find the third derivative of -24*g**4 - 39*g**2 - 3*g.
-576*g
What is the derivative of -2*d**3*j + 156*d**2*j**2 - 3*j**2 - 297 wrt d?
-6*d**2*j + 312*d*j**2
What is the first derivative of 56*w**2*y**2 + w**2*y + 405*w**2 + 2*w - 2*y wrt y?
112*w**2*y + w**2 - 2
What is the second derivative of -o**3*s**2*u + 5*o**3*s*u + 15*o**2*u - 9*o*s**2*u - 5*o*s - o*u wrt o?
-6*o*s**2*u + 30*o*s*u + 30*u
What is the third derivative of 2*j**4 + 250*j**3 + 287*j**2?
48*j + 1500
What is the third derivative of 418*r**3*w**4 - 2*r**3 - 2*r**2*w**6 + 2119*w**2 wrt w?
10032*r**3*w - 240*r**2*w**3
What is the derivative of -3*t**2 - 64*t + 377 wrt t?
-6*t - 64
What is the second derivative of 2*j**3*q**2*w + 2*j**
|
{
"pile_set_name": "DM Mathematics"
}
|
0 = 3*t - 4*i + 2*i + 10, 0 = -3*i + 6 for t.
-2
Solve -5*i - 3*g = 2*g, -4*i + 4*g = 8 for i.
-1
Solve -2*b = -7*b, 4 = -w - 4*b for w.
-4
Solve -3*s = -4*h + 1, 28 = 2*s - 2*h + 30 for s.
-3
Solve 4*w = y + 4, -42*w - y = -40*w + 4 for w.
0
Solve 4*r - 20 = 0, -o - 7*r - 29 = -12*r for o.
-4
Solve -9*o = 2*y - 3, -o - 3*y = -2*o + 10 for o.
1
Solve -4*x - 6 = -2*k, -2*k + 0 + 3 = -x for x.
-1
Solve 3*b = 5*q - b + 12, -5*q - b + 3 = 0 for q.
0
Solve 0 = 4*k - 5*f + 38, -k - 3 - 5 = -f for k.
-2
Solve -19 = 5*p + 163*t - 167*t, 0 = -3*t + 18 for p.
1
Solve 10*w - 6*w + 3*p = -6, -19 = 5*w - 2*p for w.
-3
Solve 5*u + 8 = 2*q + 1, u + 3*q - 2 = 0 for u.
-1
Solve 0 - 3 = r + j, 5*r + 3*j = -11 for r.
-1
Solve -12 = 3*s + 5*z, 0 = s + z - 16 + 20 for s.
-4
Solve 2*r + 2 = m, 5*r + 14 = 3*r - 2*m for r.
-3
Solve -2*w + 4*p = 20, -3*w + 10 = -3*p + 5*p for w.
0
Solve -2*b = -8, 3*o + 0*b = -3*b + 24 for o.
4
Solve 5*q = 3*y + 10, 0 = 2*q + 2*y + 17 - 5 for q.
-1
Solve 5*t - 40 = -15, -p = -5*t + 27 for p.
-2
Solve 4*k + 3*v + 8 = 0, -7*v - 10 = 5*k - 3*v for k.
-2
Solve -2*z = -4*d + 4, 5*d - 13 = 2*z - 10 for z.
-4
Solve -4 = 4*v, -4*i + 114*v - 118*v = 0 for i.
1
Solve -4*t = -3*b - 7, -18*b + 3*t = -21*b for b.
-1
Solve 3*l = 10*n - 11*n - 1, 5*l - 5 = 5*n for l.
0
Solve -2*k + 8 = 2*c + 4, 2*c = -4*k for k.
-2
Solve 29*u = 28*u - i + 1, 0 = -3*u - 4*i + 4 for u.
0
Solve 3 = 124*s - 119*s - 3*q, -5*s + 31 = 4*q for s.
3
Solve 0 = 3*p + o + 3, -p + 2*p - 13*o + 81 = 0 for p.
-3
Solve -4*g + 10 + 19 = 5*p, 3*p - 5*g - 10 = 0 for p.
5
Solve 2*c = 3*k - 10, -c - 10 = -2*k + c for k.
0
Solve -14*r = -9*r + 3*b + 5, 3*b = 15 for r.
-4
Solve 0 = 5*c - 5*w + 5, 3*c + 8*w = 12*w for c.
-4
Solve 3*m + 2*k = -3*k + 3, -5*m + k = -5 for m.
1
Solve 0*m - 2*m - 6 = -c, 14 = 2*m + 4*c for m.
-1
Solve 0 = -5*y + 5*p - 50, 0*y + 4*y = p - 25 for y.
-5
Solve -4*y + 15 = 5*k, 0*k + 3 = k for y.
0
Solve -5*d = 6*s - 3*s + 4, -2*s - 11 = -5*d for s.
-3
Solve -44*q + 5*g = -43*q - 4, 0 = 3*g + 3 for q.
-1
Solve -m + 22 = 5*p, -2*p + 5 = -p for m.
-3
Solve -4*q - 6 = o + 9, -4*o - q = 0 for o.
1
Solve -17*u + 22*u - 2*n + 3 = 0, 5*n - 19 = u for u.
1
Solve p - 3*p - 14 = -3*y, p = 2*y - 8 for p.
-4
Solve -7*w = -11*w - 5*y + 7, -5*y + 15 = 0 for w.
-2
Solve g + v = 0, 3*g + 4*v - 14 = -10 for g.
-4
Solve 2*t + 0*d = -d + 2, 4*t + 4*d = -4 for t.
3
Solve 4*r + y - 15 = 0, 3*r - 5 = 2*r + y for r.
4
Solve -2*q - 16 = 2*r, -2*q = 7*r - 8*r + 4 for q.
-4
Solve 11*a - 17 = 7*a - r, 5*r + 7 = 3*a for a.
4
Solve -5*q = 0, 4*x + 0*q = 3*q - 4 for x.
-1
Solve -t + 4 = -0*t, 5*w = 5*t - 45 for w.
-5
Solve 7*a - 7 = -5*r + 11*a, 0 = -4*a - 12 for r.
-1
Solve -14 = 5*y + 2*w, 3*w - 28 = 4*y - w for y.
-4
Solve -4*s = -4*g + 20, 0 = 3*s + 3*g - 14 - 1 for s.
0
Solve -9 = -5*y + 47*f - 45*f, -4*f = y + 7 for y.
1
Solve 0 = d - u + 6, -2*u - 3*u = -15 for d.
-3
Solve -3*t - 9 = 5*v - 12, -v + 1 = t for t.
1
Solve 4*r + 3*a = -10, -3*a + 59 = r + 66 for r.
-1
Solve -3*j = 2*j + 5*w, -2*w + 16 = -2*j for j.
-4
Solve -11*j = -a - 6*j - 8, -2*a - 1 = -5*j for a.
7
Solve 0 = -5*h + 10, -49*h + 10 = 2*q - 48*h for q.
4
Solve -2*n = -5*b + 3*b + 10, 5*b - 19 = -n for b.
4
Solve -5*r + 2*q = 23, 4*r + 11 = 7*r + 5*q for r.
-3
Solve 0 = 2*s - 4*s + 4*l + 18, -4*s + 14 = 3*l for s.
5
Solve y = 2*c + 15, 6*y - 6*c = -3*c + 45 for y.
5
Solve 426*y = 428*y - 6, 2*x = -5*y + 15 for x.
0
Solve -4 = 3*t - n, -13*t + 2*n - 19 - 10 = 0 for t.
-3
Solve -4*z + 13 = -3*o, 15 = 5*z - 3*o - 2 for z.
4
Solve -w = -5*i - 15, -5*w + 10 + 25 = -
|
{
"pile_set_name": "DM Mathematics"
}
|
111001
-432522 (base 8) to base 7
-1141634
What is 62586 (base 12) in base 4?
133122312
-19a4b (base 16) to base 5
-11330120
Convert 114663 (base 11) to base 10.
181811
Convert -3055332 (base 6) to base 12.
-71548
What is -118a30 (base 12) in base 9?
-473680
What is -294059a (base 12) in base 7?
-130336240
-91015 (base 16) to base 15
-baeb1
Convert -477555 (base 8) to base 10.
-163693
Convert 417743 (base 8) to base 10.
139235
Convert 354315 (base 7) to base 12.
31019
What is -1c33561 (base 13) in base 2?
-100011110000111100100011
What is -2b577 (base 12) in base 6?
-1151431
Convert 22211201 (base 3) to base 14.
24c5
1a052d (base 14) to base 16
e157d
Convert 5819a6 (base 11) to base 6.
31454011
-2564135 (base 7) to base 13
-b9747
What is -40232a (base 15) in base 2?
-1011100111011001100101
Convert -5c79ec (base 15) to base 12.
-1597973
1345626 (base 7) to base 2
101011110111110111
Convert 221103113 (base 4) to base 7.
1303136
Convert -232120344 (base 5) to base 7.
-11636105
What is 442140303 (base 5) in base 11?
109652a
What is 5405436 (base 7) in base 8?
2404003
What is 155172 (base 8) in base 10?
55930
Convert 1323110203 (base 4) to base 5.
112130443
Convert 61183 (base 9) to base 13.
15423
What is -c5255 (base 16) in base 13?
-223721
20514203 (base 7) to base 14
332403
-1b0872 (base 13) to base 5
-133440114
What is 349025 (base 12) in base 7?
10116422
-4333424 (base 7) to base 16
-81437
-2023300310 (base 4) to base 7
-4603001
Convert 100211010202001 (base 3) to base 9.
10733661
-104324043 (base 5) to base 4
-1301112101
-1218273 (base 10) to base 2
-100101001011011100001
What is -5c7b9 (base 13) in base 16?
-29a08
-134312333 (base 5) to base 12
-297a17
Convert -1000110100 (base 3) to base 14.
-741a
What is -159981 (base 10) in base 11?
-aa218
Convert 120012022202 (base 3) to base 9.
505282
Convert 1310013 (base 4) to base 5.
214211
What is -112211200021102 (base 3) in base 9?
-15750242
What is -1010145455 (base 6) in base 11?
-5944586
-2074556 (base 11) to base 4
-31323200033
Convert 1120112011010 (base 3) to base 14.
17b05d
Convert -107633 (base 9) to base 5.
-4032133
Convert -5383717 (base 11) to base 12.
-32042a8
What is -644554 (base 7) in base 6?
-2222554
What is -40434711 (base 8) in base 11?
-48aa092
Convert 1101000000110011 (base 2) to base 7.
311251
What is -2a8bb3 (base 15) in base 14?
-3b6ac3
Convert 10010010100001111101 (base 2) to base 3.
1010111022020
What is 515420 (base 8) in base 6?
3354332
Convert 998b30 (base 12) to base 13.
676410
-a29da6 (base 15) to base 3
-112112122110010
2c4703 (base 13) to base 8
4133174
Convert -1037178 (base 10) to base 16.
-fd37a
2250445 (base 6) to base 13
4076c
Convert -42467 (base 16) to base 14.
-70d03
Convert 5512053 (base 6) to base 9.
456666
Convert 33323420 (base 5) to base 2.
1000111011000001000
-233349 (base 11) to base 14
-98dd8
1131112113 (base 4) to base 16
5d597
What is 2256955 (base 10) in base 3?
11020122221221
Convert -328b2a (base 12) to base 5.
-201202120
-7274a7 (base 11) to base 13
-31ac92
Convert 2022002220012 (base 3) to base 15.
192322
1625322 (base 7) to base 16
36f93
Convert 1557d9 (base 14) to base 13.
201251
What is -102114 (base 5) in base 15?
-1024
Convert 13224060 (base 7) to base 9.
2253426
What is 7477120 (base 8) in base 4?
13213321100
-1554131 (base 6) to base 16
-16b07
Convert 1010011101110010011 (base 2) to base 4.
1103232103
Convert 1101212012112 (base 3) to base 7.
6222362
What is -365946 (base 10) in base 11?
-22aa39
-14cb1 (base 13) to base 8
-115141
-cb42a (base 15) to base 5
-131124230
Convert 4124116 (base 7) to base 11.
307973
Convert 1010111010001001101 (base 2) to base 14.
943a5
Convert -1003331100 (base 4) to base 15.
-5771c
Convert 21b82 (base 12) to base 6.
543442
Convert 311a5 (base 14) to base 5.
12241313
What is 3314456 (base 9) in base 4?
12302321022
-120435651 (base 7) to base 13
-17225ac
-78594 (base 12) to base 8
-470100
Convert -4811923 (base 10) to base 7.
-55620634
334981a (base 12) to base 9
20402644
Convert -b7b739 (base 12) to base 10.
-2902365
What is -f053e (base 16) in base 15?
-146a07
Convert -12c1917 (base 14) to base 11.
-5135a56
-410142 (base 7) to base 11
-48411
Convert -5b8294 (base 13) to base 7.
-24413652
Convert -b897b1 (base 12) to base 4.
-23020310311
10580b (base 16) to base 13
2b66c6
What is -168624 (base 9) in base 7?
-614260
12664503 (base 8) to base 16
2b6943
What is a4a01 (base 13) in base 7?
2342143
Convert a7020 (base 11) to base 8.
460145
-212202030 (base 6) to base 4
-32103022002
1100101110000100011110 (base 2) to base 11
1978230
-1855aa1 (base 11) to base 5
-1301004100
-78771 (base 13) to base 6
-4404510
Convert -30755 (base 11) to base 13.
-17536
Convert 970ba (base 12) to base 2.
110000100011001110
Convert 111010222100 (base 3) to base 12.
105909
Convert 202211120120122 (base 3) to base 11.
6283509
What is -347564 (base 10) in base 6?
-11241032
Convert 1027765 (base 8) to base 3.
111221102202
Convert 222
|
{
"pile_set_name": "DM Mathematics"
}
|
86571140
Product of 44 and -1.03396.
-45.49424
Product of -0.5 and 7188561.
-3594280.5
Multiply 31.5857 and 85.
2684.7845
What is the product of -3 and 344077654?
-1032232962
What is the product of 9 and 8663291?
77969619
What is 0.0120748 times 13?
0.1569724
3717*631
2345427
What is -0.41099 times 0.37?
-0.1520663
What is -2383.69 times -7.6?
18116.044
5.2124 times 0.144
0.7505856
Calculate -128961*-533.
68736213
What is the product of -741.84822 and 5?
-3709.2411
-11601547 * -0.04
464061.88
Work out 3.734668 * 5.
18.67334
-0.041 * -145.6
5.9696
Product of -12062 and 0.0424.
-511.4288
Work out 978382 * 0.096.
93924.672
Product of 18573393 and -0.3.
-5572017.9
-178.294955*0.5
-89.1474775
Work out 8139335 * 1.3.
10581135.5
What is -13 times -2593715?
33718295
1 times -56845.976
-56845.976
0.9*-51430.2
-46287.18
1.95*-3905.6
-7615.92
What is -0.03208 times 283.72?
-9.1017376
-2478606 times -0.9
2230745.4
Multiply -96882577 and -3.
290647731
What is the product of -508299 and 9.1?
-4625520.9
What is the product of -367070 and -0.0768?
28190.976
What is -9.91 times 429?
-4251.39
Product of 73 and 217383.
15868959
1.8*4380.086
7884.1548
Work out -2176 * -1564.
3403264
What is the product of 7518.6534 and 0.1?
751.86534
703.3114*8
5626.4912
-3707 times 21.172
-78484.604
Work out -27 * 423408.
-11432016
What is the product of -0.0963 and -3.31743?
0.319468509
0.24977433 times -0.2
-0.049954866
What is the product of -58 and -6043186?
350504788
Multiply 119219 and -14.18.
-1690525.42
What is the product of -0.4 and 12661382?
-5064552.8
What is the product of 3 and 6262027?
18786081
Work out 0 * 97.7679.
0
What is 0.0285244 times 0.14?
0.003993416
Multiply -5727812 and 0.5.
-2863906
Calculate 0.016744*185.
3.09764
Calculate -14590*410.
-5981900
Multiply -17898.656 and -4.
71594.624
Product of 85970104 and 1.
85970104
Work out -7175 * -111453.
799675275
Product of -1 and -1105.69.
1105.69
Multiply -31636310 and 0.
0
-25079454*60
-1504767240
What is 0.03 times -377992?
-11339.76
What is -3663870.8 times 4?
-14655483.2
-18.999 * 636
-12083.364
-5.1036 times -1752
8941.5072
Work out -283 * -0.002081.
0.588923
What is -0.04 times 1034616?
-41384.64
108 * -13.979
-1509.732
Multiply -0.5 and -212.6621.
106.33105
3042.512 times -4
-12170.048
Work out 268 * 698200.
187117600
What is the product of -3 and -1.8267012?
5.4801036
Product of 11 and -49458634.
-544044974
Product of -0.025 and -261.091.
6.527275
Calculate 0.1024*0.012742.
0.0013047808
Calculate -637*38690.
-24645530
-24825933*0.3
-7447779.9
341*6126.4
2089102.4
0.1308 times 82.5
10.791
Work out -225 * 7.70276.
-1733.121
Multiply -3 and 17.153668.
-51.461004
Work out 4.2 * -365965.
-1537053
994.1092 * 3
2982.3276
460541.368 times -4
-1842165.472
Multiply -0.04 and -519522.
20780.88
Multiply -992.4 and 823.
-816745.2
-230*-18508
4256840
Calculate -0.4048914*5.
-2.024457
Calculate -0.12*-972.66536.
116.7198432
What is the product of 0.06 and 38029?
2281.74
Product of 529 and 371663.
196609727
116 times -3192387
-370316892
Work out 0.365507 * 0.0355.
0.0129754985
What is 12.72849 times -0.01?
-0.1272849
0.06 * 4886809
293208.54
-8.6 * -21711
186714.6
0.3 * -0.1134016
-0.03402048
What is 172 times 717.597?
123426.684
-1.8*232402
-418323.6
What is the product of -9.6151 and 47?
-451.9097
What is the product of -7890 and -5370?
42369300
Work out -230.6 * 695.
-160267
Calculate -2.565*-2.198.
5.63787
Calculate 108*-10585.
-1143180
-15.8*24561.3
-388068.54
What is -45 times -2285.57?
102850.65
0.4*-2872665
-1149066
Multiply -40.52314 and -356.
14426.23784
81811 * 15.3
1251708.3
0.01467 * 1476
21.65292
Work out 3 * 1.776885.
5.330655
Multiply -26 and -20992010.
545792260
Calculate 4303*-2306.
-9922718
What is 13.6 times -0.032848?
-0.4467328
What is 0.0556537 times 1.2?
0.06678444
-0.03 * -506.81234
15.2043702
Calculate 100.577*-0.2.
-20.1154
Multiply -97.39114 and -22.
2142.60508
What is 0.26 times -96.5917?
-25.113842
-2 * -6429523
12859046
Work out 30428387 * -1.
-30428387
Calculate 0.059*-0.0599999.
-0.0035399941
Multiply -455097862 and -4.
1820391448
What is 1.06 times -6113.99?
-6480.8294
Product of -3.6912 and -0.3.
1.10736
Work out 2.91 * 5.6448.
16.426368
-6*-50663.42
303980.52
Work out -3.672 * -0.14818.
0.54411696
Product of 0.4 and -6261.167.
-2504.4668
1.6 times -7568.7
-12109.92
What is 528742.871 times
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the hundreds digit of 3483?
4
What is the tens digit of 4641?
4
What is the hundreds digit of 5185?
1
What is the hundreds digit of 140918?
9
What is the tens digit of 902?
0
What is the tens digit of 137?
3
What is the hundreds digit of 2488?
4
What is the units digit of 7181?
1
What is the hundreds digit of 916?
9
What is the tens digit of 311?
1
What is the thousands digit of 7080?
7
What is the tens digit of 6502?
0
What is the units digit of 159387?
7
What is the tens digit of 25857?
5
What is the thousands digit of 2640?
2
What is the hundreds digit of 5609?
6
What is the tens digit of 291?
9
What is the units digit of 1023?
3
What is the hundreds digit of 44915?
9
What is the hundreds digit of 22144?
1
What is the ten thousands digit of 23171?
2
What is the units digit of 295?
5
What is the ten thousands digit of 20729?
2
What is the hundreds digit of 18373?
3
What is the thousands digit of 6598?
6
What is the units digit of 9824?
4
What is the hundreds digit of 88248?
2
What is the tens digit of 87557?
5
What is the units digit of 1844?
4
What is the tens digit of 1544?
4
What is the thousands digit of 55341?
5
What is the units digit of 16087?
7
What is the hundreds digit of 13470?
4
What is the units digit of 1486?
6
What is the thousands digit of 7193?
7
What is the ten thousands digit of 15107?
1
What is the thousands digit of 5295?
5
What is the units digit of 502?
2
What is the tens digit of 8924?
2
What is the ten thousands digit of 156527?
5
What is the units digit of 511?
1
What is the ten thousands digit of 61407?
6
What is the hundreds digit of 67630?
6
What is the tens digit of 40776?
7
What is the hundreds digit of 2164?
1
What is the units digit of 1555?
5
What is the units digit of 1160?
0
What is the units digit of 12816?
6
What is the units digit of 2922?
2
What is the hundreds digit of 31710?
7
What is the units digit of 7154?
4
What is the units digit of 37943?
3
What is the tens digit of 1688?
8
What is the thousands digit of 25574?
5
What is the units digit of 4204?
4
What is the units digit of 5034?
4
What is the tens digit of 66517?
1
What is the hundreds digit of 109?
1
What is the hundreds digit of 4943?
9
What is the units digit of 438?
8
What is the thousands digit of 61460?
1
What is the hundreds digit of 959?
9
What is the hundreds digit of 997?
9
What is the hundreds digit of 11819?
8
What is the tens digit of 452?
5
What is the units digit of 1822?
2
What is the units digit of 20344?
4
What is the hundreds digit of 845?
8
What is the units digit of 3012?
2
What is the thousands digit of 114741?
4
What is the tens digit of 257?
5
What is the hundreds digit of 1683?
6
What is the tens digit of 3882?
8
What is the tens digit of 1226?
2
What is the units digit of 1194?
4
What is the units digit of 431?
1
What is the ten thousands digit of 54839?
5
What is the thousands digit of 67206?
7
What is the hundreds digit of 1874?
8
What is the hundreds digit of 1060?
0
What is the ten thousands digit of 33121?
3
What is the units digit of 2282?
2
What is the tens digit of 10223?
2
What is the thousands digit of 5803?
5
What is the units digit of 2189?
9
What is the ten thousands digit of 14418?
1
What is the units digit of 961?
1
What is the tens digit of 8960?
6
What is the hundreds digit of 676?
6
What is the hundreds digit of 5401?
4
What is the units digit of 11628?
8
What is the hundreds digit of 7574?
5
What is the thousands digit of 2541?
2
What is the tens digit of 11266?
6
What is the tens digit of 669?
6
What is the tens digit of 1169?
6
What is the units digit of 109022?
2
What is the tens digit of 339?
3
What is the thousands digit of 78336?
8
What is the tens digit of 7442?
4
What is the hundreds digit of 2357?
3
What is the tens digit of 15168?
6
What is the units digit of 30604?
4
What is the hundreds digit of 32831?
8
What is the units digit of 43828?
8
What is the thousands digit of 11333?
1
What is the units digit of 334?
4
What is the units digit of 4468?
8
What is the hundreds digit of 1528?
5
What is the units digit of 746?
6
What is the tens digit of 1210?
1
What is the hundreds digit of 14558?
5
What is the hundreds digit of 2087?
0
What is the ten thousands digit of 22825?
2
What is the hundreds digit of 10658?
6
What is the thousands digit of 4272?
4
What is the tens digit of 46?
4
What is the tens digit of 37851?
5
What is the units digit of 136?
6
What is the tens digit of 115?
1
What is the tens digit of 63098?
9
What is the ten thousands digit of 51997?
5
What is the hundreds digit of 2126?
1
What is the units digit of 1313?
3
What is the units digit of 80709?
9
What is the tens digit of 230?
3
What is the hundreds digit of 1988?
9
What is the hundreds digit of 13187?
1
What is the hundreds digit of 3183?
1
What is the tens digit of 5071?
7
What is the units digit of 27815?
5
What is the tens digit of 10904?
0
What is the tens digit of 11532?
3
What is the hundreds digit of 1470?
4
What is the ten thousands digit of 19373?
1
What is the hundreds digit of 4544?
5
What is the ten thousands digit of 13284?
1
What is the thousands digit of 2789?
2
What is the units digit of 14059?
9
What is the thousands digit of 119125?
9
What is the units digit of 2941?
1
What is the hundreds digit of 31054?
0
What is the ten thousands digit of 34413?
3
What is the units digit of 46046?
6
What is the thousands digit of 2034?
2
What is the tens digit of 295?
9
What is the units digit of 2281?
1
What is the thousands digit of 17831?
7
What is the units digit of 91372?
2
What is the tens digit of 3171?
7
What is the hundreds digit of 28774?
7
What is the ten thousands digit of 121769?
2
What is the units digit of 133005?
5
What is the hundreds digit of 43903?
9
What is the units digit of 2746?
6
What is the ten thousands digit of 16235?
1
What is the hundreds digit of 2383?
3
What is the thousands digit of 1479?
1
What is the units digit of 8798?
8
What is the ten thousands digit of 147268?
4
What is the units digit of 88753?
3
What is the hundreds digit of 1506?
5
What is the hundreds digit of 1496?
4
What is the hundreds digit of 4592?
5
What is the hundreds digit of 5026?
0
What is the units digit of 7017?
7
What is the units digit of 2648?
8
What is the hundreds digit of 700?
7
What is the thousands digit of 1154?
1
What is the tens digit of 917?
1
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
erm of -16, -36, -56, -76?
-20*w + 4
What is the a'th term of -107, -114, -121, -128?
-7*a - 100
What is the z'th term of 63, 130, 197?
67*z - 4
What is the z'th term of 86, 138, 218, 320, 438, 566, 698, 828?
-z**3 + 20*z**2 - z + 68
What is the m'th term of -832, -855, -894, -949?
-8*m**2 + m - 825
What is the d'th term of 2, -22, -66, -136, -238, -378, -562, -796?
-d**3 - 4*d**2 - 5*d + 12
What is the r'th term of -138, -132, -130, -138, -162?
-r**3 + 4*r**2 + r - 142
What is the r'th term of 66, 45, 6, -57, -150, -279?
-r**3 - 3*r**2 - 5*r + 75
What is the b'th term of -64, -221, -490, -877, -1388, -2029, -2806?
-b**3 - 50*b**2 - 13
What is the d'th term of 277, 269, 261?
-8*d + 285
What is the c'th term of 23, 72, 151, 260, 399, 568, 767?
15*c**2 + 4*c + 4
What is the h'th term of 204, 273, 342, 411?
69*h + 135
What is the c'th term of 433, 1735, 3913, 6973, 10921, 15763, 21505, 28153?
c**3 + 432*c**2 - c + 1
What is the x'th term of 517, 545, 581, 619, 653, 677, 685?
-x**3 + 10*x**2 + 5*x + 503
What is the g'th term of 13, 97, 237, 433, 685, 993?
28*g**2 - 15
What is the j'th term of -691, -691, -687, -679, -667, -651?
2*j**2 - 6*j - 687
What is the r'th term of 3854, 3845, 3814, 3749, 3638, 3469, 3230, 2909?
-2*r**3 + r**2 + 2*r + 3853
What is the u'th term of 2123, 4250, 6377, 8504, 10631?
2127*u - 4
What is the p'th term of 244, 489, 734, 979, 1224?
245*p - 1
What is the d'th term of 126751, 126746, 126729, 126694, 126635?
-d**3 + 2*d + 126750
What is the t'th term of 123, 288, 453?
165*t - 42
What is the u'th term of 88, 202, 338, 496, 676, 878, 1102?
11*u**2 + 81*u - 4
What is the j'th term of 261, 260, 259, 258, 257, 256?
-j + 262
What is the v'th term of -141, -143, -153, -177, -221?
-v**3 + 2*v**2 - v - 141
What is the t'th term of -5, -21, -31, -35, -33?
3*t**2 - 25*t + 17
What is the c'th term of -23, -8, 7, 22, 37?
15*c - 38
What is the m'th term of -172, -343, -514, -685, -856, -1027?
-171*m - 1
What is the s'th term of 19, 34, 61, 106, 175?
s**3 + 8*s + 10
What is the b'th term of -407, -406, -405?
b - 408
What is the s'th term of -137, -313, -489, -665, -841, -1017?
-176*s + 39
What is the q'th term of -34, -157, -362, -649, -1018?
-41*q**2 + 7
What is the y'th term of 278, 324, 394, 482, 582, 688, 794?
-y**3 + 18*y**2 - y + 262
What is the m'th term of -270, -271, -272, -273, -274, -275?
-m - 269
What is the n'th term of -4411, -4403, -4395?
8*n - 4419
What is the q'th term of -54, -104, -154?
-50*q - 4
What is the u'th term of -78, -71, -52, -15, 46, 137, 264?
u**3 - 79
What is the f'th term of -16, -65, -196, -451, -872, -1501?
-7*f**3 + f**2 - 3*f - 7
What is the i'th term of -27, -44, -49, -36, 1, 68, 171, 316?
i**3 - 24*i - 4
What is the p'th term of 10, 20, 32, 46?
p**2 + 7*p + 2
What is the m'th term of -1132, -1125, -1114, -1099?
2*m**2 + m - 1135
What is the i'th term of 24457, 24464, 24473, 24484, 24497, 24512, 24529?
i**2 + 4*i + 24452
What is the n'th term of -1123, -2247, -3371, -4495, -5619?
-1124*n + 1
What is the c'th term of -68, -74, -80, -86, -92?
-6*c - 62
What is the g'th term of 45, 29, 13, -3?
-16*g + 61
What is the f'th term of -82, -91, -100, -109?
-9*f - 73
What is the a'th term of -173, -165, -155, -143, -129, -113?
a**2 + 5*a - 179
What is the f'th term of 9, 24, 59, 120, 213?
f**3 + 4*f**2 - 4*f + 8
What is the m'th term of 31, 10, -11, -32, -53, -74?
-21*m + 52
What is the k'th term of 434, 847, 1274, 1721, 2194, 2699?
k**3 + k**2 + 403*k + 29
What is the f'th term of 671, 1359, 2047, 2735, 3423, 4111?
688*f - 17
What is the a'th term of 140, 280, 420?
140*a
What is the o'th term of -5, -12, -33, -74, -141, -240, -377?
-o**3 - o**2 + 3*o - 6
What is the m'th term of 6, 24, 54, 96?
6*m**2
What is the z'th term of 9, 41, 107, 219, 389, 629?
2*z**3 + 5*z**2 + 3*z - 1
What is the v'th term of 71, 51, 19, -31, -105, -209?
-v**3 - 13*v + 85
What is the z'th term of 29, 69, 179, 395, 753?
6*z**3 - z**2 + z + 23
What is the i'th term of 75026, 75021, 75004, 74969, 74910, 74821, 74696, 74529?
-i**3 + 2*i + 75025
What is the t'th term of -214, -259, -318, -397, -502, -639?
-t**3 - t**2 - 35*t - 177
What is the k'th term of 214, 217, 220, 223, 226, 229?
3*k + 211
What is the c'th term of -6, -18, -48, -102, -186?
-c**3 - 3
|
{
"pile_set_name": "DM Mathematics"
}
|
*f + 42 = 70*f. Let a(t) = 4*t**2 - 7*t + 6. Let s(m) = -17 + 15*m + 4 - 3*m**2 - 6*m**2. Determine f*s(o) + 13*a(o).
-2*o**2 - o
Let t(l) = 2*l**2 - 2*l - l**2 + l**2. Let i(u) = u**2 - u + 1. Let y be -1 + (-3)/(-6) - (-51)/6. Let x be 2/y*4 + 0. Give x*t(g) - i(g).
g**2 - g - 1
Let r(c) = -c. Let d(l) = -5*l + 2. Let s = -697 + 698. What is s*d(u) - 6*r(u)?
u + 2
Let t(j) = -9*j - 8. Let i(x) = -29*x - 26. Give 2*i(s) - 7*t(s).
5*s + 4
Let z(k) = 20*k - 20*k + k**3. Let b(v) = 3*v**3. Suppose u = -4*n + 4, u + 2*n = -0*n + 4. Determine u*z(t) - b(t).
t**3
Suppose -2 = 5*v + 13. Let j(s) = 4*s - 3. Let r(c) be the first derivative of -9*c**2/2 + 7*c + 2. Let w be 5 - 10 - (6 - 4). Calculate v*r(q) + w*j(q).
-q
Let v(l) = -2*l**2 - 9. Let t(a) = -1950038*a + 10*a**2 + 1950038*a + 46. Give 2*t(y) + 11*v(y).
-2*y**2 - 7
Let p = -393 + 392. Let t(v) = -v. Let o(a) = -3*a - 2. Calculate p*o(u) - 2*t(u).
5*u + 2
Let n(h) = -h**2 + 4*h + 14. Let a(v) = -v**2 + 10*v + 27. Calculate 4*a(w) - 9*n(w).
5*w**2 + 4*w - 18
Let v = -82 + 81. Let m = 2 + v. Let w(t) = 4*t**3 + 2*t**2 - 2*t. Let s(p) = p**2 - p. Determine m*w(l) - 2*s(l).
4*l**3
Let n(p) = 6*p - 3. Let r(i) = -3*i + 14*i - i**2 + 2 - 11. Let q be r(10). Let a(g) = 3*g + 2*g - 3 + q + 0. What is 5*a(f) - 4*n(f)?
f + 2
Let v(m) = -3*m + 14. Let j(z) = -6*z + 32. Determine 3*j(h) - 5*v(h).
-3*h + 26
Let c(y) = 37*y**2 + 2*y - 16. Let g(d) = -d**2 - 2. Calculate c(n) - 6*g(n).
43*n**2 + 2*n - 4
Let p = 161 - 154. Let q(j) = -2*j**2 - j + 2. Let c(z) = -5*z**2 - 3*z + 4. What is p*q(f) - 3*c(f)?
f**2 + 2*f + 2
Let x(a) = -a**3 + a. Let d(o) = 4*o**3 + 8*o. Determine -d(j) + 6*x(j).
-10*j**3 - 2*j
Let z(s) = s**3 - 6*s**2 + 6*s - 3. Let r be z(5). Suppose -n - 30 = r*n. Let h = n + 7. Let x(w) = -4*w + 5. Let f(m) = 7*m - 9. Give h*f(y) - 5*x(y).
-y + 2
Let s(h) = -5*h**2 - 2*h + 26. Let p(i) = 17*i**2 + 7*i - 80. Calculate 2*p(g) + 7*s(g).
-g**2 + 22
Let n(f) = -7*f. Let c(x) = 3*x**3 + 37*x + 1. Let h(j) = 2*c(j) + 11*n(j). Let r(m) = -5*m**3 + 3*m - 2. Calculate 4*h(v) + 5*r(v).
-v**3 + 3*v - 2
Let p be 8/(-6) - 150/(-45). Let r(y) = 4*y. Let j(c) = c + 1. Give p*j(q) - r(q).
-2*q + 2
Let k(p) = -595*p**3 - 3*p**2 - 3*p. Let m(q) = 594*q**3 + 4*q**2 + 4*q. What is -4*k(s) - 3*m(s)?
598*s**3
Let i(j) = 4*j + 9. Let p(d) = -2*d - 4. Suppose -m + 0*f + 12 = -f, -2*m = -f - 19. Let t(z) = -2*z + 23. Let g be t(m). Calculate g*p(w) + 4*i(w).
-2*w
Let a(k) = 32*k**2 + 2*k. Let m(b) = -33*b**2 - b. Give -2*a(y) - 3*m(y).
35*y**2 - y
Let m(j) = 2*j - 13. Let f(x) = x - 6. Let d be 8 - (2 - 2) - 3. Let b(z) = d*f(z) - 2*m(z). Let w(r) = -r + 5. Let g = 4 - -3. What is g*b(n) + 6*w(n)?
n + 2
Let b(c) = -286*c**3 + 3*c**2 - 3*c. Let o(k) = -571*k**3 + 7*k**2 - 7*k. Calculate 14*b(f) - 6*o(f).
-578*f**3
Let r(m) = -9 + 33 + 2*m - 13 - 7. Let o(g) = 2*g + 3. What is 5*o(b) - 4*r(b)?
2*b - 1
Let m(j) = -267*j - 5. Let k(x) = 273*x + 4. Determine -6*k(g) - 5*m(g).
-303*g + 1
Let s be (2 + -17)*(-12)/(-20). Let b(l) = -l**2 - 2*l - 3. Let y(h) = -5*h**2 - 9*h - 11. Give s*b(q) + 2*y(q).
-q**2 + 5
Let h(u) = 11*u**3 + 20*u. Let y(w) be the third derivative of -7*w**6/120 - 13*w**4/24 + 6*w**2 + 1. Calculate -5*h(x) - 8*y(x).
x**3 + 4*x
Let g(u) = -349*u - 3. Let n(l) = -1. Give -g(r) + 3*n(r).
349*r
Let b(q) = 3*q**2 + 4*q. Let m(o) be the second derivative of 0*o**2 + 0 + 20*o + 1/6*o**3. What is -b(n) + 4*m(n)?
-3*n**2
Let p(y) = y - 2. Let z(f) = -5*f + 19. What is -2*p(o) + z(o)?
-7*o + 23
Let i(s) = 3*s - 1. Let x
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 + 0 + 0*x**5 + 0*x**6 + 0*x - 1/12*x**4 - 1/105*x**7. Find the second derivative of s(r) wrt r.
-24*r**2
Let x(m) = 31*m**4 + 5*m**3 - 39*m + 5. Let t(s) = 46*s**4 + 7*s**3 - 59*s + 7. Let c(v) = -5*t(v) + 7*x(v). What is the second derivative of c(b) wrt b?
-156*b**2
Let q(k) be the first derivative of -3*k**6/2 - 10*k**3/3 + 3. Find the third derivative of q(o) wrt o.
-540*o**2
Suppose 0 = 2*c + 4, 5*h + 0*c + 3*c = 19. Find the second derivative of -3*q + h*q**2 - 6*q**2 + q**2 - 3*q**5 wrt q.
-60*q**3
Let s(y) be the third derivative of y**5/15 + 2*y**3/3 + 3*y**2. What is the first derivative of s(l) wrt l?
8*l
Let x(y) be the third derivative of 0 + 4*y**2 - 1/60*y**5 + 1/60*y**6 + 0*y + 0*y**4 + 0*y**3. Find the third derivative of x(n) wrt n.
12
What is the third derivative of 114*y**2 - 110*y**2 - y**4 + 3*y**4 wrt y?
48*y
Suppose 4*l - 13 = -5, b - l = 5. What is the second derivative of -6*v**5 + b*v**5 - 3*v**5 - 2*v wrt v?
-40*v**3
Let r(c) = -35*c**2 - 18*c + 5. Let s(m) = -34*m**2 - 19*m + 6. Let i(p) = 6*r(p) - 5*s(p). What is the second derivative of i(n) wrt n?
-80
Suppose -5*m = 5*i, 2 + 8 = -2*i. Suppose -2*v + u + 13 = 1, 0 = -m*v + 3*u + 31. What is the first derivative of 0 + v - j**4 - 2 wrt j?
-4*j**3
Let s(v) be the first derivative of 5*v**6/3 - 8*v**3/3 - 6. What is the third derivative of s(d) wrt d?
600*d**2
Let f = -63/20 + 13/4. Let r(q) be the second derivative of 1/6*q**3 + 0*q**2 + 0*q**4 + 0 + f*q**5 + q. What is the second derivative of r(d) wrt d?
12*d
Let y(w) be the first derivative of -4*w**4 - 19*w**2/2 + 19. What is the second derivative of y(m) wrt m?
-96*m
Suppose 0 = -4*g + 3 + 9. Find the second derivative of 5*l + g*l - l**2 - 4*l wrt l.
-2
Let d(g) = -g - 10. Let t be d(0). Let c = -6 - t. Find the second derivative of -4*o - 7*o**4 + 5*o - o**c + 4*o**4 wrt o.
-48*o**2
Let g(m) = 2*m - 9*m**3 + m + 0*m + 0*m - m**2. Let j(s) = -18*s**3 - s**2 + 5*s. Let y(z) = 5*g(z) - 3*j(z). What is the third derivative of y(b) wrt b?
54
Let d(v) = -v**2 + 9*v - 10. Let f be d(7). Find the third derivative of f*m**2 + 9*m**3 - 4*m**3 - m**3 - m**3 wrt m.
18
Suppose -4 = -4*h + 2*k, -3*h + h = -3*k + 6. Differentiate 7 + h*z - 7*z - z wrt z.
-5
Suppose -3*f + 10 + 2 = 3*g, 0 = 3*f - 3*g. What is the second derivative of 5*q**2 + 5*q**f - 10*q - 7*q**2 wrt q?
6
Let a(c) = -c**2 - 10*c + 4. Let l(r) = 2*r - r - 3*r + 3 - 7*r. Let w(f) = -3*a(f) + 4*l(f). What is the second derivative of w(d) wrt d?
6
Let w = -12 + 17. Let s(l) = 7*l**3 + 6*l**2 - 3. Let j(k) = 7*k**3 + 5*k**2 - 4. Let u(p) = w*s(p) - 6*j(p). Differentiate u(g) with respect to g.
-21*g**2
Suppose -5*r + r - 12 = 0. Let d = r - -7. Find the first derivative of -4*a + d + a - 2 wrt a.
-3
Let p(c) be the first derivative of -9*c**2 - 3*c + 9. Differentiate p(k) wrt k.
-18
What is the first derivative of 37 - 12*c**3 + 0*c**3 - 12*c**3 - 12*c**3 wrt c?
-108*c**2
Let r(m) = -m - 1. Let v(h) = -3*h**2 + 4*h - 2. Let s(t) = 4*r(t) + v(t). Find the first derivative of s(y) wrt y.
-6*y
Let a = 16 - 15. Let g(r) be the first derivative of 2/3*r**3 + a + 0*r - r**2. What is the second derivative of g(q) wrt q?
4
Let c(m) = -m - 1. Let z(d) = -d. Let w be z(7). Let r be c(w). Find the third derivative of -2*b**6 - 2*b**6 + 5*b**r - b**2 wrt b.
120*b**3
Let i(c) = 2*c**2 - 1 + 6*c**2 - 3*c**2 + 6*c - 3*c. Let m = 3 - 2. Let p(v) = v**2 + v - 1. Let w(y) = m*i(y) - 3*p(y). Differentiate w(n) with respect to n.
4*n
Let s(h) be the second derivative of 4*h - 5/12*h**4 + 0*h**3 - 3*h**2 + 0. Differentiate s(o) with respect to o.
-10*o
Suppose 4*y - 5*p - 24 = -0*p, 0 = 5*y + 4*p + 11. What is the first derivative of -2 - 3 - 2 + y + 6*u wrt u?
6
Find the third derivative of -3*n**5 - 14*n**5 + 8*n**5 - 4*n**2 + 10*n**2 wrt n.
-540*n**2
Let s(a) = a**3 - a + 7. Let c = -9 + 9. Let l be s(c). What is the third derivative of -l*r**2 + r**3 - 10*r**2 + 20*r**2 wrt r?
6
Let n(i) be the third derivative of -i**8/10080 + i**6/120 + i**5/30 + 6*i**2. Let j(h) be the third derivative of n(h). Differentiate j(m) wrt m.
-4*m
Let w(p) = 19*p**3 + 6*p**2 + 2*p + 6. Let m(o) = -40*o**3 - 11*o**2 - 4*o - 11. Let r(f) = -6*m(f) - 11*w(f). Find the second derivative of r(v) wrt v.
186*v
Let z(w)
|
{
"pile_set_name": "DM Mathematics"
}
|
- 3) + 4*m + m - 3*m)*(-8 + 19*m + 67*m - 55*m) to b*m**2 + p + x*m and give b.
186
Rearrange 5*a - 13*a**3 + 14*a**3 + 3 + 2*a**2 - 2*a**4 + 2 - 2 to p + h*a**2 + y*a**3 + x*a + c*a**4 and give y.
1
Express (-1 + 4 + 1)*(-2*v**4 - 3*v**4 + 4*v**4)*(-63 - 34 - 203) in the form d + g*v + j*v**2 + r*v**4 + z*v**3 and give r.
1200
Rearrange 203*q**2 - 12151 + 12151 to g + h*q + y*q**2 and give y.
203
Rearrange (-156 + 309 - 135 + 3*f**2)*(6*f - 3*f - f)*(2*f + 0*f + 0*f) to m*f**4 + c + a*f**3 + i*f + v*f**2 and give m.
12
Express 5*b**3 - 61*b + 34*b - 3*b**3 - 95*b + 2 - b**3 as k*b**3 + m*b**2 + l*b + j and give k.
1
Express 847*l - 2462*l - 978*l in the form i + y*l and give y.
-2593
Express ((-5 + 1 + 2)*(-15 - 3 + 1) + ((-5 + 4 - 1)*(3 + 1 - 5) + 4 + 3 - 4)*(-3 + 3 + 2))*(y + 3 - 3) in the form j + r*y and give r.
44
Express 3*j**3 - 3*j + 2*j - 4*j**3 + 10*j**4 + 3 + 2 - 3 in the form r*j**2 + y*j**3 + h*j**4 + s + l*j and give l.
-1
Express 2*j**2 - 153 + 273 + 156*j**3 - 116 in the form r*j**3 + z + m*j + a*j**2 and give r.
156
Rearrange 10*r**2 - 269*r + 68*r + 4*r**2 + 10*r**2 - 21*r**2 to k*r**2 + b*r + t and give k.
3
Rearrange 75 + 34 + 64*v**4 - 62*v**4 + v to the form p*v**3 + w*v**2 + j*v + s*v**4 + k and give s.
2
Express (3 + 6 - 5)*(-2 + 1 - 2)*(9*t + 15*t - 31*t) in the form s*t + n and give s.
84
Express (4*b - 3*b - 2*b)*(-b - 2*b + 4*b)*(b - 6*b + 4*b)*(11 + 29 - 7)*(0*b + 5*b - 4*b) in the form f*b**4 + v*b + g*b**3 + m + y*b**2 and give f.
33
Rearrange (-3 + 67 + 85)*(-3*p + 2 - 2) to t*p + x and give t.
-447
Rearrange -1340 + 1340 + a - a**2 - 10*a**4 to the form q*a**2 + n*a**4 + w + l*a + v*a**3 and give q.
-1
Express (245*p + 10 - 6 - 1)*(2 - 4 + 0) as v*p + k and give v.
-490
Rearrange (0 + 0 + 2*z)*(-7 + 10 + 4)*(-693*z**2 + 493*z**2 - 2 + 2) to the form h*z**2 + n*z + t*z**3 + j and give n.
0
Rearrange (1493*s**2 + 1494*s**2 - 2991*s**2 - 5*s**3 - 42)*(-2*s + 0 - 1 + 0*s) to h*s + x*s**2 + d*s**4 + a*s**3 + o and give h.
84
Express 199*o + 10*o + 5 + 74*o - 3 in the form k + b*o and give b.
283
Express -10*x + 8*x - 2*x**3 - 57 + 0*x**2 + 0*x**2 in the form s*x**3 + z*x**2 + c*x + j and give c.
-2
Rearrange 408*v + 2 - 4 - 490*v to c + t*v and give c.
-2
Express (49 - 75 + 40)*(y + 8*y**2 + y - 12*y**2) - 2*y**2 + 4*y**2 - y**2 as w*y + h*y**2 + c and give w.
28
Rearrange -23*y**2 + 278*y**2 - 126*y**2 + 239*y**2 to the form s*y + x + l*y**2 and give l.
368
Express (4 + 0 - 2)*(0 - 2 - 4)*(-6*w**3 - 8*w**3 - 8*w**3) in the form h + i*w + b*w**3 + x*w**2 and give x.
0
Rearrange (-4*s + 9*s - 2*s)*(-2 + 2 - 5*s) + 0*s**2 + 7*s**2 + s**2 to t + g*s**2 + z*s and give g.
-7
Express 32299*f**2 + 2*f - 32303*f**2 - f as s*f + p + c*f**2 and give s.
1
Express (6*z**2 + 0*z + 0*z)*(1 + 0 + 0) + 2*z**2 + 0*z**2 - z**2 + (7*z**2 + 6*z**2 - 2*z**2)*(-4 + 1 + 2) in the form o*z**2 + k*z + c and give o.
-4
Rearrange -y**2 - 4 + 17*y**4 + 20*y**4 - 1 - y - 31*y**4 to f*y**2 + k*y + v + x*y**4 + c*y**3 and give v.
-5
Express (4 - 5 + 2)*(-67 + 77 - 73)*(z - 5*z - z) in the form n*z + p and give n.
315
Express -386*z + 158*z - 16*z - 294*z as s*z + a and give s.
-538
Rearrange 1234*p**4 - 55 - 3725*p**4 + 1244*p**4 - 2*p**2 + 1238*p**4 - p to the form b*p**3 + j*p**2 + t + u*p + w*p**4 and give t.
-55
Express -2*v**2 + 0*v + 0*v + (21*v - 5*v + 21*v)*((-4 + 1 + 4)*(0*v + v - 4*v) - 2*v + 0*v + 0*v) in the form m*v**2 + c*v + f and give m.
-187
Rearrange 2 + n - 5*n**2 + 5*n**2 - 1 - n**4 + 13*n**2 + 2*n**3 to a + g*n**4 + v*n + y*n**2 + c*n**3 and give y.
13
Rearrange (-9 - 23*r**3 + 19*r**3 + 2*r + 6 - 26*r**2)*(2 - 2 + r)*(-4 + 4 + 4) to j*r + o*r**3 + l*r**2 + a*r**4 + m and give o.
-104
Rearrange 11618*n**3 + 18 - 11618*n**3 + 16*n - 2*n**4 to the form z*n**2 + x*n**3 + i + t*n + m*n**4 and give t.
16
Express -3 + 2 + 8661*u**2 - 8768*u**2 - u as c + g*u**2 + k*u and give k.
-1
Express (5 + 3*i - 5)*(-14 + 7 - 1)*(-1 - 2*i + 1) + i**2 + 0 + 0 in the form b + j*i + w*i**2 and give w.
49
Rearrange -2*
|
{
"pile_set_name": "DM Mathematics"
}
|
ssuming i is positive.
i**(55/1768)
Simplify ((c/(c*c**2)*c)**(1/32))**45/(((c**(1/4)*c)/c)**(-42)/(c**1)**(3/7)) assuming c is positive.
c**(2133/224)
Simplify (((q/(q/(q*q/(q*q*q*q**(-4/7)*q*q)))*q)/q)/(q*q**(-2/23)))**12*(q**(2/11)/q**(-2/5))/((q**(-2/7)/q)/q)**(-26) assuming q is positive.
q**(-876168/8855)
Simplify u**(-3)*u*u/(u*u**(1/2)*u)*u**(-4)*u**(-6)*u**(-3)*u*u**(-2/13)*(u**(2/7))**(-5/2) assuming u is positive.
u**(-2979/182)
Simplify ((((g**2/g)**(-40))**(-18))**(-1/14))**(-26) assuming g is positive.
g**(9360/7)
Simplify (r*r**5/r*r*r**1/r*((r/(r**(2/3)*r))/r)**(-13/5))/((r/(r*r**(-1)))**(2/15)/(r**(-4)*r*r**(-3/7))) assuming r is positive.
r**(237/35)
Simplify ((v**(1/2))**(-4/5)/(v/v**(1/2))**(-2))/(v**(-1/5)*((v*v*v/(v*v**(2/11)*v))/v)/v)**33 assuming v is positive.
v**(231/5)
Simplify (n**(2/5))**(4/7)/(n**0)**0*n**4/n*n*n/n**(2/7)*n**4*n**(-1) assuming n is positive.
n**(278/35)
Simplify (((r*r**(-4)*r)/((r/(r*(r**(4/7)*r)/r))/r*r))/(r*r*r**1)**(2/13))/(r**1/(r/(r*((r*r*r**5)/r)/r*r)))**19 assuming r is positive.
r**(-12275/91)
Simplify ((((d*d/d**26)/d*d)/(d/(d/d**(-14)*d)))/((d*d**(-18))/(d/(d*d**12))))**(3/29) assuming d is positive.
d**(-12/29)
Simplify (k**(-21)/k*k**(-1/10)*k**(2/77)*k**(-17)/k)**(-4) assuming k is positive.
k**(61714/385)
Simplify (o/(o/(o*o**(-12/5)))*o*((o**(-4/7)/o)/o*o)/o*(o**(-4))**(-3/5))**36 assuming o is positive.
o**(-144/7)
Simplify (f**1)**(-43)*(f**(-1))**(-11/3)*f**(-1/2)/(f*f/f**(3/2))*(f**(-4/11)/f)/f**0 assuming f is positive.
f**(-1376/33)
Simplify ((d**0/d)**(-8)/(d/(d/(d/d**(-13/4)))*d**(-7)))**(-8) assuming d is positive.
d**(-86)
Simplify (s/(s**3/s)*s**(2/19))/(((s**(1/9)*s)/s)/s*s**1)*((s**1)**(-2/3))**44 assuming s is positive.
s**(-5188/171)
Simplify ((x/x**0)**25)**(3/19)/((x/x**(-2/7))**(-3/5))**(1/27) assuming x is positive.
x**(2644/665)
Simplify ((i**(-9))**(-9/10)*(i**(-2/11)*i)**(-42))**40 assuming i is positive.
i**(-11556/11)
Simplify (t*t**2*t*t/(t/(t**(2/5)*t*t)))/((t**(-3/2)*t)/((t**(-2)*t)/t))*t/t**0*t/((t/(t**(-1/5)*t))/t)*(t**7/t*t)/t**6 assuming t is positive.
t**(87/10)
Simplify (k/(k/(k**(-2/21)/k))*k*((k*k**(-2))/k)/k)/(k*k*k**(4/3)*k/(k**6/k)*k*k)*(k/(k**(-2)*k))/(k*k/k**(2/3)*k)*k*k*k**(-2)*k**8/k assuming k is positive.
k**(47/21)
Simplify (((m**(1/8)/m)/m)**38*(m**(1/6))**26)**(-1) assuming m is positive.
m**(803/12)
Simplify (r*(r**(1/34)*r)/r*r**(-19))/(r**(-2/121)*r**35/r) assuming r is positive.
r**(-213739/4114)
Simplify (y**(-2/41)*y**(5/4)/y*(y*y/(y*y/(y/((y*y*y**(-28))/y)))*y)**(-13/5))**46 assuming y is positive.
y**(-1418249/410)
Simplify ((d/d**1)/d*d**(-5))**(-29/3)*(d/(d**(-1/3)/d))/((d/d**(-8))/d)*(d/d**1)/d*d*d*d**(-6) assuming d is positive.
d**(142/3)
Simplify ((o/(o**(-8)/o))/((o*(o**4*o)/o*o)/o))**(4/23)/(o/((((((o/(o*o**6*o))/o)/o)/o*o)/o*o)/o*o)*o*o**(-1/5)*o*o**(7/3)/(o**1/o)) assuming o is positive.
o**(-4576/345)
Simplify (b**(6/5)*b**(-2/5))**(-3/2)*(b*b**(-7/4)*b**(2/27))**(-47) assuming b is positive.
b**(16507/540)
Simplify ((x*x**(3/2)*x*x**(1/3)*(x/(x*x**(-1)*x))**(-2/37))**(-8/7))**5 assuming x is positive.
x**(-460/21)
Simplify ((f/f**(-6))**(-27)*(f*f**(-7/2)/f*f)/(f*f/f**3))**(8/7) assuming f is positive.
f**(-1524/7)
Simplify ((t**(2/7)*t)**(11/2))**(-25/3)/(t**(1/2)/(t/t**8)*t**(-1)*t**(-9)) assuming t is positive.
t**(-395/7)
Simplify ((n*n*n/(n/(n**(1/2)/n*n)))/n*n)/(n**3*n)*n**(-4)*n*n/n**1*n*(n**(1/3)*n)**(-2/17)*(n**(3/4)*n)/(n**(-4)*n) assuming n is positive.
n**(223/204)
Simplify (s/(s**(5/7)/s)*s/(s/s**(-2)))**(2/7)/(((s*s/s**(-5))/s)/(s*s**12))**(1/20) assuming s is positive.
s**(143/980)
Simplify (r**(1/6)*(r/(r*r*r**4*r))/r)**(1/2)*((r**(-6)/r)/(r**(-3/2)/r))/((r*r*r**2)/r)**(-1) assuming r is positive.
r**(-59/12)
Simplify ((v/((v**(-5/3)/v)/v)*v*v)/(v*v*v*v/v**(-2/23)))**(21/8)/(v**(-2)/v*v*((((v/(v*v**(-4)*v))/v)/v)/v)/v)**(-33) assuming v is positive.
v**(-8485/92)
Simplify (j**(2/33)/j*j**(-2/7))**(-1/3)*(j**(2/5)/j**(-3))**36 assuming j is positive.
j**(425531/3465)
Simplify ((((o/(o/o**(-23))*o)/o)/o)**(11/2)*(o**(-29)*o*o*o)**7)**(3/11) assuming o is positive.
o**(-942/11)
Simplify (o*o**(-3)*o*o*o/((o**(2/5)/o)/o))**(1/4)*(o**(-1/6)*o**(3/4))**2 assuming o is positive.
o**(109/60)
Simplify (((k*k*((k/k**(3/11)*k)/k)/k*k)/((((k/(k/(k*k/((
|
{
"pile_set_name": "DM Mathematics"
}
|
87, -25904, -46067, -71976?
-2873*p**2 - 52*p + 109
What is the x'th term of 174, 30, -134, -312, -498, -686?
x**3 - 16*x**2 - 103*x + 292
What is the k'th term of 91142915, 182285832, 273428749, 364571666, 455714583?
91142917*k - 2
What is the y'th term of 3231646, 3231658, 3231678, 3231706, 3231742?
4*y**2 + 3231642
What is the j'th term of 4133, 4576, 5511, 7100, 9505, 12888, 17411, 23236?
27*j**3 + 84*j**2 + 2*j + 4020
What is the j'th term of -4493, -733, 5533, 14305?
1253*j**2 + j - 5747
What is the x'th term of -14753, -15870, -17745, -20378?
-379*x**2 + 20*x - 14394
What is the c'th term of -1484006518, -1484006519, -1484006520, -1484006521, -1484006522?
-c - 1484006517
What is the u'th term of 300237352, 300237348, 300237342, 300237334, 300237324, 300237312, 300237298?
-u**2 - u + 300237354
What is the g'th term of 8441560, 16883080, 25324600?
8441520*g + 40
What is the t'th term of -21575, -41396, -57701, -68732, -72731?
293*t**3 - 21872*t + 4
What is the y'th term of -584066586, -584066587, -584066588, -584066589, -584066590, -584066591?
-y - 584066585
What is the p'th term of -3242, -14920, -46624, -108368, -210166, -362032, -573980, -856024?
-1669*p**3 + p**2 + 2*p - 1576
What is the x'th term of -68848, -68793, -68708, -68593, -68448?
15*x**2 + 10*x - 68873
What is the k'th term of -25522, -31329, -37138, -42949?
-k**2 - 5804*k - 19717
What is the m'th term of -1926169, -3852456, -5778743, -7705030, -9631317, -11557604?
-1926287*m + 118
What is the f'th term of 371948, 1488140, 3348460, 5952908, 9301484?
372064*f**2 - 116
What is the l'th term of 28914, 30635, 32356, 34077?
1721*l + 27193
What is the g'th term of -2147, -2642, -3105, -3542, -3959?
-g**3 + 22*g**2 - 554*g - 1614
What is the w'th term of -1889, -3288, -3629, -2384, 975, 6976, 16147?
88*w**3 + w**2 - 2018*w + 40
What is the a'th term of 7293, 15567, 23841?
8274*a - 981
What is the m'th term of -25693852, -25693827, -25693802?
25*m - 25693877
What is the i'th term of 33774, 67756, 101952, 136362?
107*i**2 + 33661*i + 6
What is the z'th term of -220, 130, 716, 1538, 2596, 3890?
118*z**2 - 4*z - 334
What is the v'th term of 1711, 1281, -1293, -6011, -12873, -21879?
-1072*v**2 + 2786*v - 3
What is the f'th term of 4020, 7656, 11292?
3636*f + 384
What is the q'th term of 77948, 311570, 700942, 1246064?
77875*q**2 - 3*q + 76
What is the k'th term of 550, 2545, 7442, 16693, 31750?
242*k**3 - k**2 + 304*k + 5
What is the g'th term of -733952, -2935811, -6605574, -11743241?
-733952*g**2 - 3*g + 3
What is the z'th term of -1352963, -2704884, -4056805?
-1351921*z - 1042
What is the t'th term of -229894, -229780, -229668, -229558, -229450, -229344?
-t**2 + 117*t - 230010
What is the z'th term of 1929, 5349, 8769, 12189?
3420*z - 1491
What is the r'th term of 19342, 77325, 173972, 309289, 483282?
r**3 + 19326*r**2 - 2*r + 17
What is the s'th term of 351972497, 351972496, 351972495, 351972494?
-s + 351972498
What is the g'th term of -12981, -51909, -116817, -207711, -324597, -467481?
-g**3 - 12984*g**2 + 31*g - 27
What is the r'th term of 88355, 176695, 265035, 353375?
88340*r + 15
What is the m'th term of -2079300, -2079277, -2079254?
23*m - 2079323
What is the f'th term of -1780244, -7120994, -16022250, -28484012, -44506280, -64089054?
-1780253*f**2 + 9*f
What is the g'th term of 8150520, 8150524, 8150530, 8150538, 8150548, 8150560, 8150574?
g**2 + g + 8150518
What is the l'th term of -4506454, -9012904, -13519354, -18025804, -22532254?
-4506450*l - 4
What is the k'th term of -3356, -3222, -2852, -2126, -924?
20*k**3 - 2*k**2 - 3374
What is the v'th term of 36869, 147420, 331671, 589622, 921273?
36850*v**2 + v + 18
What is the h'th term of 62981, 126406, 189829, 253250, 316669?
-h**2 + 63428*h - 446
What is the b'th term of -1174, -4265, -9422, -16651, -25958, -37349, -50830?
-b**3 - 1027*b**2 - 3*b - 143
What is the q'th term of 48581212, 97162424, 145743636, 194324848, 242906060, 291487272?
48581212*q
What is the o'th term of 2945, 6521, 10097?
3576*o - 631
What is the p'th term of 20636, 20607, 20530, 20381, 20136, 19771?
-4*p**3 - p + 20641
What is the p'th term of 3627, 19690, 46467, 83958, 132163, 191082, 260715?
5357*p**2 - 8*p - 1722
What is the m'th term of 63, 359, 1175, 2775, 5423?
44*m**3 - 4*m**2 + 23
What is the t'th term of -14176, -109070, -366652, -868270, -1695272, -2929006
|
{
"pile_set_name": "DM Mathematics"
}
|
*a
Suppose -5*x - 3 = -13. Suppose -3*d + 15 = -3*j, 4*d + x*j - 20 = 5*j. Differentiate -7 + 0 - 8*z**2 + 8*z**2 + d*z**3 with respect to z.
15*z**2
Find the first derivative of -52*h**2 + 98*h**2 - 51*h**2 - 15 + 4*h**4 wrt h.
16*h**3 - 10*h
Let a(t) = -15*t**3 + 5*t**2 - 107. Let u(p) = -7*p**3 + 2*p**2 - 53. Let z(k) = 2*a(k) - 5*u(k). Differentiate z(q) wrt q.
15*q**2
Let b(v) be the first derivative of -5*v**4 + 11*v**3/3 + 21*v + 6. Let m(s) = 5*s**3 - 3*s**2 - 5. Let h(w) = 6*b(w) + 22*m(w). Differentiate h(o) wrt o.
-30*o**2
Let a(u) be the third derivative of 7*u**2 - 2/3*u**3 + 1/2*u**4 + 0 + 0*u. What is the first derivative of a(v) wrt v?
12
Suppose 2*c = 3 - 1. Let q(o) = 2*o**2 - 6*o - 6. Let n be q(4). Find the first derivative of -8*k**2 - k**2 - c - 6 + n wrt k.
-18*k
Let u(s) be the third derivative of 0*s**7 - 4*s**2 + 0 + 0*s - 1/112*s**8 + 0*s**6 + 0*s**4 - 41/60*s**5 + 0*s**3. Find the third derivative of u(c) wrt c.
-180*c**2
Let c = 33 + -33. Let h be 6*(2/4 - c). What is the second derivative of 3*p**3 - 3*p**h + 28*p - 9*p**4 - 17*p wrt p?
-108*p**2
Let m(q) = 113*q**3 + 114*q**2 - 2*q - 4. Let r(c) = c**3 + c**2 + c + 2. Let h(y) = -m(y) - 2*r(y). Find the third derivative of h(x) wrt x.
-690
Let k(y) be the first derivative of 2*y**3/3 - 13*y**2 + 92*y + 69. What is the derivative of k(d) wrt d?
4*d - 26
Suppose -2*j = -j - 2. What is the third derivative of -14*x - x**3 - 11*x**3 + 6*x**j + 14*x wrt x?
-72
What is the third derivative of 18*n - 8*n**5 - 385*n**2 + 376*n**2 - 13*n + 17*n**4 wrt n?
-480*n**2 + 408*n
What is the third derivative of 888*p**6 - 17*p**5 + 3*p**3 - 3*p**3 + 58*p**2 - 887*p**6 wrt p?
120*p**3 - 1020*p**2
Let z = -13 + 17. Differentiate -6 - z - 14*v - 2 wrt v.
-14
Let f(b) = b**4 + b**3 - b**2 - b. Let i(x) = -5*x**4 - 3*x**3 + 39*x**2 + 3*x + 12. Let v(a) = -3*f(a) - i(a). Differentiate v(o) with respect to o.
8*o**3 - 72*o
Suppose k + 6 + 0 = 4*q, k - 6 = -2*q. What is the second derivative of -9*z**2 + 16*z**2 + 0*z**q + 2*z wrt z?
14
Let b(g) = -g**3 - 10*g**2 - g + 7. Let y be b(-10). What is the second derivative of -y*k**2 + 2*k**2 - 525*k + 530*k wrt k?
-30
Find the third derivative of -2*z**2 + 23*z**3 - 16*z + 3*z**2 - 5*z**2 - 27*z**3 wrt z.
-24
Let k(j) be the third derivative of 7/60*j**5 + 0 - 19/210*j**7 + 0*j**4 + 15*j**2 + 0*j**6 + 0*j + 0*j**3. Find the third derivative of k(x) wrt x.
-456*x
Let f(n) be the third derivative of 5*n**6/6 + n**3/3 - 35*n**2 - 1. Find the first derivative of f(c) wrt c.
300*c**2
What is the second derivative of -2 - 55*s + 151*s**3 + 111*s - 53*s wrt s?
906*s
Let a(r) = -20 - 1 - 19*r**3 + 5 - 3*r. Let v(w) = 19*w**3 + 2*w + 16. Let q(b) = 4*a(b) + 6*v(b). Differentiate q(n) wrt n.
114*n**2
Let x = -53 - -55. What is the third derivative of 29*i**2 + 31*i**5 - 5*i**x - 21*i**5 wrt i?
600*i**2
Let v be (10/(-4) - -2)*(-2 + -40). Find the third derivative of -v*b**5 - b**5 - 4*b**2 + 9*b**5 wrt b.
-780*b**2
Find the first derivative of 33*x + 94 + 28*x - 66*x wrt x.
-5
Let f(d) be the first derivative of 8*d**4 + 0*d - 34 + 11/3*d**3 + 0*d**2. What is the third derivative of f(i) wrt i?
192
Let f(d) be the third derivative of d**8/112 + 23*d**7/105 + 83*d**5/30 - 110*d**2 - 2*d. Find the third derivative of f(a) wrt a.
180*a**2 + 1104*a
Let d(i) = i**3 + 42*i**2 - 4*i. Let c(z) = -z**3 - 42*z**2 + 3*z. Let l = -25 + 29. Let x(f) = l*c(f) + 3*d(f). Find the third derivative of x(r) wrt r.
-6
Let h(j) = 5511*j - 1800. Let v(s) = 689*s - 225. Let p(x) = 4*h(x) - 33*v(x). What is the derivative of p(y) wrt y?
-693
What is the third derivative of -67*v**6 + 52*v**6 - 26*v**2 - 13*v**2 wrt v?
-1800*v**3
Let o(j) = -3*j**4 - 6*j**2 - j + 178. Let q(p) = 2*p**4 + 7*p**2 + p - 180. Let h(a) = 7*o(a) + 6*q(a). What is the first derivative of h(w) wrt w?
-36*w**3 - 1
Suppose -w = -3 + 4. Let o(c) = 1. Let d(j) = 12*j**2 + 4*j + 2. Let m(s) = w*d(s) + 2*o(s). What is the second derivative of m(g) wrt g?
-24
Let s(f) be the first derivative of 296*f**3/3 - f**2/2 - 85*f - 283. What is the second derivative of s(d) wrt d?
592
Suppose k - 3*p - 4 + 1 = 0, -2*k + p = -6. Let y(w) be the first derivative of 0*w + 4/3*w**k - 5 - 5/2*w**2. What is the second derivative of y(j) wrt j?
8
Let u
|
{
"pile_set_name": "DM Mathematics"
}
|
inder when 2395039 is divided by 92.
3
Calculate the remainder when 775006 is divided by 11397.
10
What is the remainder when 29820 is divided by 253?
219
What is the remainder when 60000 is divided by 239?
11
Calculate the remainder when 2652785 is divided by 2537.
1620
Calculate the remainder when 1513475 is divided by 291.
275
Calculate the remainder when 9369234 is divided by 485.
4
What is the remainder when 5147747 is divided by 1876?
3
Calculate the remainder when 55865 is divided by 4811.
2944
What is the remainder when 2096731 is divided by 3459?
577
What is the remainder when 6185648 is divided by 1401?
233
Calculate the remainder when 178799709 is divided by 45.
39
Calculate the remainder when 16662974 is divided by 3639.
3632
Calculate the remainder when 5928249 is divided by 6156.
21
What is the remainder when 338243 is divided by 2182?
33
What is the remainder when 13915358 is divided by 232?
230
What is the remainder when 5249898 is divided by 281?
256
Calculate the remainder when 26772 is divided by 225.
222
Calculate the remainder when 63423945 is divided by 12.
9
Calculate the remainder when 1449549 is divided by 1738.
57
What is the remainder when 573362 is divided by 17?
3
Calculate the remainder when 226966 is divided by 45383.
51
What is the remainder when 3717921 is divided by 142995?
51
What is the remainder when 41993343 is divided by 114?
75
What is the remainder when 54607455 is divided by 13?
6
Calculate the remainder when 293211 is divided by 48850.
111
What is the remainder when 12173637 is divided by 465?
402
Calculate the remainder when 20825 is divided by 6487.
1364
Calculate the remainder when 3096254 is divided by 582.
14
Calculate the remainder when 787751 is divided by 1365.
146
What is the remainder when 22842 is divided by 5656?
218
Calculate the remainder when 29574891 is divided by 13.
8
What is the remainder when 1442422 is divided by 90145?
102
Calculate the remainder when 2124676 is divided by 7202.
86
Calculate the remainder when 1899244 is divided by 5521.
20
What is the remainder when 4691744 is divided by 5?
4
Calculate the remainder when 2482199 is divided by 620533.
67
What is the remainder when 2515139 is divided by 209549?
551
What is the remainder when 78724 is divided by 39257?
210
What is the remainder when 69560611 is divided by 14?
1
Calculate the remainder when 9428863 is divided by 400.
63
Calculate the remainder when 365699 is divided by 750.
449
Calculate the remainder when 18299180 is divided by 8.
4
What is the remainder when 642358 is divided by 1631?
1375
What is the remainder when 51610 is divided by 25801?
8
What is the remainder when 97255 is divided by 996?
643
Calculate the remainder when 683802 is divided by 683531.
271
What is the remainder when 14591 is divided by 3667?
3590
Calculate the remainder when 306188 is divided by 304321.
1867
What is the remainder when 1553938 is divided by 3152?
2
What is the remainder when 931175 is divided by 545?
315
What is the remainder when 4404333 is divided by 220215?
33
Calculate the remainder when 2301902 is divided by 27.
17
What is the remainder when 1420845 is divided by 22551?
132
Calculate the remainder when 119745667 is divided by 163.
162
What is the remainder when 435255 is divided by 908?
323
What is the remainder when 1441805 is divided by 720872?
61
Calculate the remainder when 124619164 is divided by 15577393.
20
Calculate the remainder when 4842220 is divided by 367.
22
What is the remainder when 7432347 is divided by 15?
12
What is the remainder when 1679107240 is divided by 1693?
1691
What is the remainder when 17056645 is divided by 68?
1
Calculate the remainder when 3522186 is divided by 313.
310
What is the remainder when 1629668 is divided by 286?
40
What is the remainder when 1094134 is divided by 307?
293
What is the remainder when 2315045 is divided by 12314?
13
Calculate the remainder when 44375107 is divided by 1309.
7
Calculate the remainder when 12558512 is divided by 829.
820
What is the remainder when 49663 is divided by 3808?
159
What is the remainder when 9243935 is divided by 1031?
1020
What is the remainder when 991895 is divided by 305?
35
What is the remainder when 808891 is divided by 1888?
827
Calculate the remainder when 4412361 is divided by 19.
10
What is the remainder when 187291 is divided by 54?
19
What is the remainder when 170449276 is divided by 111?
7
Calculate the remainder when 669364 is divided by 1819.
1791
What is the remainder when 483762 is divided by 161240?
42
What is the remainder when 1230201 is divided by 615094?
13
What is the remainder when 5244599 is divided by 4666?
15
What is the remainder when 4148128 is divided by 102?
94
Calculate the remainder when 44050 is divided by 1776.
1426
Calculate the remainder when 4522 is divided by 444.
82
Calculate the remainder when 4073298 is divided by 377.
190
Calculate the remainder when 438473 is divided by 196.
21
What is the remainder when 18512358 is divided by 146?
142
What is the remainder when 60635960 is divided by 2379?
8
What is the remainder when 74515781 is divided by 96?
5
What is the remainder when 3817742 is divided by 8657?
5
Calculate the remainder when 993337 is divided by 332.
325
Calculate the remainder when 752707 is divided by 8.
3
What is the remainder when 391419 is divided by 2139?
2121
Calculate the remainder when 4259985 is divided by 3985.
20
Calculate the remainder when 1524863 is divided by 352.
351
Calculate the remainder when 133553 is divided by 1004.
21
Calculate the remainder when 68919 is divided by 6676.
2159
Calculate the remainder when 33697 is divided by 437.
48
What is the remainder when 4091386 is divided by 2045691?
4
Calculate the remainder when 500769 is divided by 250116.
537
What is the remainder when 9247 is divided by 1988?
1295
Calculate the remainder when 2556641 is divided by 768.
737
What is the remainder when 4398599 is divided by 3208?
431
What is the remainder when 798615 is divided by 99823?
31
Calculate the remainder when 13329007 is divided by 105.
97
What is the remainder when 140925965 is divided by 46?
43
Calculate the remainder when 2600790 is divided by 374.
368
Calculate the remainder when 3874425 is divided by 1291408.
201
What is the remainder when 260733 is divided by 2035?
253
What is the remainder when 4226621 is divided by 6?
5
Calculate the remainder when 71102473 is divided by 14038.
3
What is the remainder when 470483 is divided by 59?
17
Calculate the remainder when 1567970 is divided by 1298.
1284
What is the remainder when 391466323 is divided by 23?
21
What is the remainder when 2349452 is divided by 4263?
539
What is the remainder when 15754140 is divided by 8167?
8164
Calculate the remainder when 16476804 is divided by 17660.
24
What is the remainder when 157074 is divided by 1669?
188
What is the remainder when 144011 is divided by 125?
11
What is the remainder when 29428350 is divided by 55?
50
What is the remainder when 206735 is divided by 22960?
95
What is the remainder when 894730 is divided by 1780?
1170
Calculate the remainder when 5171191 is divided by 146.
17
Calculate the remainder when 335271628 is divided by 111757205.
13
What is the remainder when 2592342 is divided by 113?
9
Calculate the remainder when 224352 is divided by 1240.
1152
Calculate the remainder when 525125457 is divided by 60.
57
What is the remainder when 7235071 is divided by 157284?
7
|
{
"pile_set_name": "DM Mathematics"
}
|
58876 - 41491124 = 0. Round p to the nearest one hundred thousand.
4000000
Let l = 53.5 + -49. Let i = 4.4999744 - l. Round i to 6 decimal places.
-0.000026
Let p = -827.47 + 832. Let l = p - 4.5300241. What is l rounded to 6 decimal places?
-0.000024
Let x = 1553.0802 - 1552.2902049. Let s = 134.21 - 135. Let r = x + s. What is r rounded to 6 decimal places?
-0.000005
Let o = 6 + -9. Let k = o - -12. Let y = 8.999975 - k. Round y to 5 decimal places.
-0.00003
Let x = 8 + -9. Let l = -0.6 - x. Let m = -0.3951 + l. Round m to three dps.
0.005
Let l = 45 + -26. Let t = 19.00064 - l. What is t rounded to 4 decimal places?
0.0006
Let w = 242.07 - 0.07. Let p = w - 242.000294. Round p to 5 decimal places.
-0.00029
Let m(h) be the second derivative of 415000*h**3/3 + 9*h. Let c be m(-10). What is c rounded to the nearest 1000000?
-8000000
Suppose -3*g = 2*y + 8, -2*y = 4*g + y + 12. Let q = g - 4. Let b be 1/q + (-354003)/(-12). What is b rounded to the nearest 1000?
30000
Let d = 9.2 + -24.1. Let r = d + -112.1. Let j = -127.089 - r. What is j rounded to two dps?
-0.09
Suppose -2*b + 6 + 4 = 0. Suppose 1973941 = g - 626948. Suppose b*q = -g - 33399111. What is q rounded to the nearest 1000000?
-7000000
Let n(l) = 2*l**3 + 12*l**2 + 3. Let v be n(-6). Suppose -4*z + 3*z = v*i - 12599988, 3*i = -2*z + 25199988. What is z rounded to the nearest 1000000?
13000000
Let z = -0.0338 - -0.033588. Round z to five decimal places.
-0.00021
Suppose -579978 = -5*r - b, -b + 3067 - 235054 = -2*r. Suppose -115990 = -z + 2*t, z = 2*t - t + r. Suppose -z = -2*l + 6*l. Round l to the nearest 10000.
-30000
Let n be 4 + -3 + (2 - 2). Suppose -3*b + n + 8 = 0. Suppose b*y + 30000 = -y. What is y rounded to the nearest one thousand?
-8000
Let l = 142 + -274. Let d = l + 132.0266. What is d rounded to three decimal places?
0.027
Let g be 21 + -19 - (-1)/1. Suppose g*k - 3*w + 7*w = -5980, -5*k = w + 9995. What is k rounded to the nearest 10000?
0
Let l = 5 + -5.12. Let g = 624 + -613.62. Let q = l - g. What is q rounded to 0 decimal places?
-11
Let k = -1053497274269629.90000105 - -1053497128108687. Let j = k - -146160938. Let n = 4.9 + j. What is n rounded to 7 decimal places?
-0.0000011
Let z = 49746396 - 33646396. Round z to the nearest 1000000.
16000000
Let p = -86 - -86.04466. Round p to 3 dps.
0.045
Suppose 3*b - 110028 = 3*h, -146668 = -0*b - 4*b - 5*h. Suppose 7*g - b - 313328 = 0. Round g to the nearest one hundred thousand.
100000
Let h = 0.09 - 0.47. Let k = -18 + 18.7. Let u = h + k. What is u rounded to one dp?
0.3
Let y = -268310633.0000007 - -268310610. Let i = -65 + 42. Let n = i - y. Round n to six decimal places.
0.000001
Let p = -50.997249 + 51. Round p to four decimal places.
0.0028
Let o = -171.00000397 + 171. What is o rounded to six decimal places?
-0.000004
Let d = 604 - 622.18. What is d rounded to the nearest integer?
-18
Let n = -101.101 - -0.101. Let x = 95.2 + n. Round x to zero dps.
-6
Suppose 0*r + a + 1 = r, 2*a = -3*r + 8. Let p be -2 - (-3 - (r - 3)). Let d = 37 + p. What is d rounded to the nearest ten?
40
Let h(o) = -787*o**2 - 45*o - 58. Let k be h(-26). What is k rounded to the nearest one hundred thousand?
-500000
Let m = 0.013 + 30.987. Let z = m - 29.7. Let l = z - 0.56. Round l to one dp.
0.7
Let x be 22/8 - 10/(-40). Suppose 5*t - 437858 = -x*v, t + v - 87572 = -0*t. Suppose 3*k - t - 17429 = 0. What is k rounded to the nearest 10000?
40000
Let y = 0.07831 - -34.43169. Let b = -0.055 - -34.055. Let p = y - b. What is p rounded to 1 dp?
0.5
Let t = 2019 + -2019.1407. Round t to 2 dps.
-0.14
Let w = 10 + -10. Let v = -0.01 - w. Let j = v - -0.01000045. What is j rounded to 7 decimal places?
0.0000005
Let r = -31.5 - -31. Let t = r + 0.442. What is t rounded to 2 dps?
-0.06
Let z(r) = -2*r + 2. Let j be z(0). Suppose -p - 3*y + 33 = 0, -j*y = -3*p - 2*p + 233. Suppose 2*w + p + 75 = 0. Round w to the nearest ten.
-60
Let i = 6330.9987699 + -6331. What is i rounded to five decimal places?
-0.00123
Let a = -58.1 - 231.9. Let c = a + 292.19. Round c to 1 dp.
2.2
Let p = 1659.5 - 1265. What is p rounded to the nearest 100?
400
Let b = 1.1 - 1.0999993132. Round b to 7 decimal places.
0.0000007
Let z = -2.12 - -2.322. Let a = z + 93.798. Let j = a + -72.4. Round j to zero decimal places.
22
Let j = -71.1 - -58. Let s = -70 + j. What is s rounded to the nearest 10?
-80
Let a = 34.06 - 27.6. Let h = 7 - a. What is h rounded to 1 dp?
0.5
Let x(n) = -78*n**3 + n**2 - 16*n + 5. Suppose 0 = 3*o - 5*w - 27 + 2, 4*o + 4*w = 12. Let j be x(o). Round j to the nearest one thousand.
-10000
Let y(a) = -3479*a**2 + 23*a + 6. Let m(g) = 8*g**3 - 1. Let b be m(-1). Let u be y(b). Round u to the nearest 10000.
-280000
Let s = 118 + -113.05. Let n = 45.35 - s. Round n to the nearest 10.
40
Let m be (90/(-8))/(3*1/(-53280)). What is m rounded to the nearest ten thousand?
200000
Let v = 84864.211 + -84908. Let d = 24 + -68. Let w = v - d. Round w to two decimal places.
0.21
|
{
"pile_set_name": "DM Mathematics"
}
|
er?
564
What is 106462 to the power of 1/6, to the nearest integer?
7
What is the square root of 289087 to the nearest integer?
538
What is 38465 to the power of 1/2, to the nearest integer?
196
What is the tenth root of 486083 to the nearest integer?
4
What is the square root of 668435 to the nearest integer?
818
What is the square root of 241489 to the nearest integer?
491
What is the cube root of 988465 to the nearest integer?
100
What is the square root of 40913 to the nearest integer?
202
What is the fourth root of 983960 to the nearest integer?
31
What is the tenth root of 72365 to the nearest integer?
3
What is the cube root of 4914848 to the nearest integer?
170
What is the third root of 2053243 to the nearest integer?
127
What is the fourth root of 393881 to the nearest integer?
25
What is the tenth root of 8149152 to the nearest integer?
5
What is 2889497 to the power of 1/8, to the nearest integer?
6
What is the cube root of 1367264 to the nearest integer?
111
What is 1637426 to the power of 1/9, to the nearest integer?
5
What is the square root of 1182078 to the nearest integer?
1087
What is the third root of 102508 to the nearest integer?
47
What is the third root of 876400 to the nearest integer?
96
What is the square root of 2237351 to the nearest integer?
1496
What is 393458 to the power of 1/2, to the nearest integer?
627
What is the square root of 1047869 to the nearest integer?
1024
What is the fifth root of 245841 to the nearest integer?
12
What is the square root of 242805 to the nearest integer?
493
What is the third root of 138673 to the nearest integer?
52
What is the cube root of 3614717 to the nearest integer?
153
What is the third root of 1765570 to the nearest integer?
121
What is the square root of 19679969 to the nearest integer?
4436
What is 5341693 to the power of 1/3, to the nearest integer?
175
What is the cube root of 735063 to the nearest integer?
90
What is the third root of 419947 to the nearest integer?
75
What is 4476452 to the power of 1/10, to the nearest integer?
5
What is the sixth root of 388734 to the nearest integer?
9
What is the cube root of 7643 to the nearest integer?
20
What is 5241222 to the power of 1/5, to the nearest integer?
22
What is the fifth root of 761110 to the nearest integer?
15
What is the ninth root of 2899511 to the nearest integer?
5
What is the third root of 474230 to the nearest integer?
78
What is 683511 to the power of 1/3, to the nearest integer?
88
What is the third root of 27958199 to the nearest integer?
304
What is the fifth root of 1631933 to the nearest integer?
17
What is 356028 to the power of 1/4, to the nearest integer?
24
What is the square root of 2292495 to the nearest integer?
1514
What is the sixth root of 2357312 to the nearest integer?
12
What is the third root of 29128181 to the nearest integer?
308
What is 656374 to the power of 1/10, to the nearest integer?
4
What is the sixth root of 6091297 to the nearest integer?
14
What is 794477 to the power of 1/3, to the nearest integer?
93
What is 43020 to the power of 1/2, to the nearest integer?
207
What is 288119 to the power of 1/3, to the nearest integer?
66
What is 58278 to the power of 1/6, to the nearest integer?
6
What is the square root of 10903285 to the nearest integer?
3302
What is 219404 to the power of 1/3, to the nearest integer?
60
What is the square root of 11990687 to the nearest integer?
3463
What is 465380 to the power of 1/3, to the nearest integer?
77
What is the eighth root of 1289290 to the nearest integer?
6
What is 995952 to the power of 1/3, to the nearest integer?
100
What is the fifth root of 20964726 to the nearest integer?
29
What is the fourth root of 1391449 to the nearest integer?
34
What is 2344016 to the power of 1/2, to the nearest integer?
1531
What is the fifth root of 259611 to the nearest integer?
12
What is the cube root of 1040435 to the nearest integer?
101
What is the third root of 187998 to the nearest integer?
57
What is 12983979 to the power of 1/5, to the nearest integer?
26
What is the eighth root of 28479010 to the nearest integer?
9
What is 259474 to the power of 1/2, to the nearest integer?
509
What is the cube root of 99722 to the nearest integer?
46
What is 307852 to the power of 1/5, to the nearest integer?
13
What is 23419448 to the power of 1/2, to the nearest integer?
4839
What is 5829976 to the power of 1/2, to the nearest integer?
2415
What is the cube root of 3135484 to the nearest integer?
146
What is 213603 to the power of 1/10, to the nearest integer?
3
What is the square root of 160063 to the nearest integer?
400
What is the eighth root of 8555372 to the nearest integer?
7
What is 1702816 to the power of 1/2, to the nearest integer?
1305
What is 213318 to the power of 1/6, to the nearest integer?
8
What is the tenth root of 153118 to the nearest integer?
3
What is 2348137 to the power of 1/10, to the nearest integer?
4
What is the fifth root of 826342 to the nearest integer?
15
What is 879458 to the power of 1/2, to the nearest integer?
938
What is 39313427 to the power of 1/8, to the nearest integer?
9
What is the cube root of 22584068 to the nearest integer?
283
What is 224028 to the power of 1/3, to the nearest integer?
61
What is 5093077 to the power of 1/2, to the nearest integer?
2257
What is the ninth root of 323673 to the nearest integer?
4
What is the square root of 2266629 to the nearest integer?
1506
What is 7259272 to the power of 1/2, to the nearest integer?
2694
What is the fifth root of 40724 to the nearest integer?
8
What is 2452592 to the power of 1/3, to the nearest integer?
135
What is the sixth root of 2448464 to the nearest integer?
12
What is 127730 to the power of 1/6, to the nearest integer?
7
What is the cube root of 2359957 to the nearest integer?
133
What is 494064 to the power of 1/2, to the nearest integer?
703
What is the cube root of 1701501 to the nearest integer?
119
What is the third root of 395706 to the nearest integer?
73
What is 276863 to the power of 1/2, to the nearest integer?
526
What is the ninth root of 39851 to the nearest integer?
3
What is 469352 to the power of 1/3, to the nearest integer?
78
What is 4397581 to the power of 1/10, to the nearest integer?
5
What is the square root of 184061 to the nearest integer?
429
What is 208880 to the power of 1/6, to the nearest integer?
8
What is the square root of 4013584 to the nearest integer?
2003
What is 17140987 to the power of 1/2, to the nearest integer?
4140
What is the ninth root of 728711 to the nearest integer?
4
What is the sixth root of 34036680 to the nearest integer?
18
What is 21917603 to the power of 1/8, to the nearest integer?
8
What is the ninth root of 14278241 to the nearest integer?
6
What is 2244303 to the power of 1/3, to the nearest integer?
131
What is 451378 to the power of 1/3, to the nearest integer?
77
What
|
{
"pile_set_name": "DM Mathematics"
}
|
(l/(-54)) and (-782)/(-24) + (-20)/240.
10
Let r = 10031 - 1655113/165. What is the common denominator of -17/5 and r?
165
Let d be (-852)/(-24) + (-3)/2. Let c = -271 - -2432/9. Find the common denominator of (-9 + 13)*d/(-44) and c.
99
Let y = -504203/169020 + -2/8451. What is the common denominator of y and -19/1788?
8940
Suppose 18*v = 11*v - 16086. Find the common denominator of v/1456 + 16/(-104) and -23/8.
56
Let v be (-22350)/(-25)*2/(-3). Let r = 610 + v. What is the least common multiple of r and 520?
3640
Let t = 1991 + -1965113/987. Let w = 28319/75012 + t. Calculate the common denominator of w and -101/32.
608
What is the lowest common multiple of 192 and -10 - ((9 - 18) + -1) - -1176?
9408
Let w be 2374/1180 + -1 - 1. Let p = w + 38287/5310. What is the common denominator of p and (-2180)/(-3052)*7/81?
81
Let v = -1462203 - -2175757933/1488. Calculate the common denominator of v and 15/64.
5952
Suppose 20 = 2*a + 6*b - 2*b, 3*a - b - 30 = 0. Calculate the smallest common multiple of 60 and 245/(-21)*(-12)/a.
420
Let y(u) = -132 + 129 + u - u + 4*u. Let m be (30/(-20))/(6/(-8)). What is the lowest common multiple of 1 and y(m)?
5
Let u(o) = o**2 - 8*o - 34. Calculate the lowest common multiple of u(-5) and 1519.
1519
Let n be 4540/(-30)*5*(-9)/2. Let t = 47741/14 - n. Calculate the common denominator of -4/11 and t.
154
Let l(t) = -111*t**3 + 6*t**2 + t + 27. Let b be l(-9). Let g = b - 1140493/14. Let s = g - 19/7. Find the common denominator of s and 81/16.
16
Suppose -20*a = -23*a + 15. Let v(q) = a*q - 2*q + 24 - 3 - 2*q. What is the smallest common multiple of 3 and v(-7)?
42
Suppose 140496 = 7*z + 9092. Let t = z + -31351. Find the common denominator of t/(-882) - (-6)/(-14) and 2/7.
42
Suppose -5*s + 3*b + 43 = 0, -4*s - 2*b + 15 + 15 = 0. Let v = -53 - -162. Let l = 125 - v. What is the lowest common multiple of s and l?
16
Let b = -32004203/155727966 + 3/251987. Find the common denominator of b and 83/(-30) - (-2)/(-5).
618
Let w = 27/80 - 421/560. Let h = 1/10758 + 157769/161370. What is the common denominator of w and h?
630
Suppose -11*u - 151 + 3143 = 0. Let r = u + -157. What is the smallest common multiple of 1 and r?
115
Let s = -319 - -1259. What is the lowest common multiple of 55 and s?
10340
Let z be -53*(1 + -2 - -7). Let j = -309 - z. What is the smallest common multiple of 1/(123/(-42) + 3) and j?
126
Let i = 7 + 0. Suppose -4*l - l = -4*t - 74, -5*t = 5. Suppose 2*c - 26 = -4*n + l, -3*c = -3*n + 12. What is the smallest common multiple of i and n?
56
Suppose -24926 = -5*u + 2*w, 4*u - 95*w + 92*w = 19938. Calculate the lowest common multiple of 11 and u.
54846
Let w = -84/679457 + -420736758809/16306968. Let y = w + 25806. Find the common denominator of -11/432 and y.
432
Let t(k) = k**3 + 13*k**2 - 18*k + 2. Let u = 61 - 84. Let y = u - -29. What is the smallest common multiple of y and t(-14)?
174
Let v(l) be the first derivative of 7*l**3/3 - 85*l**2/2 - 8*l - 302. Calculate the lowest common multiple of v(13) and 190.
1330
Suppose -786 = -5*k - 756, -189 = -5*l - 4*k. Calculate the smallest common multiple of 654 and l.
7194
Let a = -4 + 0. Find the common denominator of a/(-12) - 58/24 and 126/24*5/3.
12
Let h = 87 - 85. Suppose b - 2 = h*p - 33, -p + b = -13. What is the smallest common multiple of p and 172?
1548
Suppose 0 = -9*b + 4*b + 15. Suppose -l - 214 = -b*u, -u + 2*u - 2*l - 73 = 0. Let y = u + -32. Calculate the lowest common multiple of y and 18.
234
Let d = -20 - -140. Let c(t) = 638*t + 1155. Let l be c(0). Find the common denominator of 131/6 and (l/d)/((-2)/(-8)).
6
Find the common denominator of 7 + (-66086)/8932 - (-27)/63 and -97/16.
5104
Suppose 3*m = 6*x + 1536, 13*x - 16*x = -2*m + 1021. What is the smallest common multiple of 220 and m?
5060
Let s be 0 + 6 - 111/37. What is the common denominator of s - (-33)/(-11) - (-68)/(-9) and -79/2?
18
Let u be (267388/1870)/(1/15). Let i = u - 2142. What is the common denominator of 59/9 and i?
153
Let q = -35087/360 - -872/9. Calculate the common denominator of 59/52 and q.
520
Let u be (0 + 4)*(2454 + -5). Let a be (-7)/(126/u)*(-3)/(-4). Let j = a + 424. Find the common denominator of -101/16 and j.
48
Let r(v) = v**2 + 61*v + 700. Calculate the lowest common multiple of 74 and r(-46).
370
Let f be -3 + (-2 + 1)*(2 - 42). Let m(w) = -40*w + f*w + 35*w + 38 - 2*w**2. What is the smallest common multiple of m(17) and 48?
48
Suppose 2490 = 3*b + 5*c - 3*c, -4*c - 12 = 0. Calculate the smallest common multiple of b and 10.
4160
What is the common denominator of (0 + -2)/(42/(-58)) and (-1185)/9234 - (-72)/(-171)?
1134
Calculate the least common multiple of 5 - (3 - (-3599)/(-3))*99/22 and 22.
5390
Find the common denominator of -31/88 and ((-91)/77)/((-18)/30).
264
What is the common denominator of (6/(-21))/(244/427)*(-38)/(-670) and 41/1072?
5360
Let x be 2/(-3)*3 - (-64 - 2). Let k = -42 + x. Suppose 0 = 7*z - 2*z - 20. Calculate the lowest common multiple of z and k.
44
Let q = 161 + 514. What is the least common multiple of q and 210?
9450
Suppose 10*r = 58 + 32. Let a(g) = -g**3 + 9*g**2 - 2*g - 6. Let b be a(r). What is the smallest common multiple of 3 and (-4)/6*b/(-16) - -4?
3
Suppose p + 44 = -58. Let t = 86 + p. Calculate the common denominator of 61/20 and (-46)/t - 5/(-4).
40
Let o = -11411 + 11415. Calculate the least common multiple of 3056 and o
|
{
"pile_set_name": "DM Mathematics"
}
|
-3, 279/5, 3?
-4
What is the smallest value in -0.5691, 2/7, 0.4?
-0.5691
What is the sixth biggest value in -0.2, 1/7, -0.307, 4, 16/7, 1/4?
-0.307
Which is the biggest value? (a) 5 (b) -4203 (c) 2/11
a
Which is the second biggest value? (a) 9 (b) -5 (c) -1/2 (d) -97
c
Which is the third biggest value? (a) -11 (b) -1/6 (c) 0.2 (d) 0.4
b
Which is the biggest value? (a) -0.5 (b) 1144 (c) -13
b
What is the fifth smallest value in 10, 0.05, 0, -0.8, 2/7, 1?
1
Which is the biggest value? (a) 0.1 (b) 47 (c) -84
b
What is the second smallest value in 0, -5, -3/8, 0.07, -0.3, 25?
-3/8
Which is the second biggest value? (a) -2434 (b) -13 (c) 12
b
What is the third biggest value in -1, 4, 1811, 1/3?
1/3
Which is the third smallest value? (a) -9 (b) 925 (c) -0.1
b
What is the fourth biggest value in -2, -243/8, 19, 5?
-243/8
What is the third smallest value in -5/2, -16, -9.16?
-5/2
What is the fourth biggest value in -4, 67, 0.074, -0.3?
-4
Which is the smallest value? (a) 0.15 (b) -33 (c) -1/7 (d) -0.236
b
Which is the second biggest value? (a) 288 (b) -24 (c) 0.3 (d) -1/8
c
What is the second biggest value in -0.4, 56, 46, -1?
46
What is the biggest value in 3188, 1/2, 2/19, -4?
3188
What is the smallest value in -0.1095, -5, -0.2?
-5
Which is the fourth smallest value? (a) 0.3 (b) 3/2 (c) 22 (d) -0.2 (e) -196.9
b
Which is the second biggest value? (a) 6 (b) -46 (c) 29 (d) 1 (e) 2/3
a
What is the fifth smallest value in 2, -652, 9, 0.5, 8?
9
Which is the fourth biggest value? (a) -0.4474 (b) 4 (c) 0.1 (d) 2
a
Which is the second smallest value? (a) -3.3 (b) -627 (c) -0.4 (d) 3
a
What is the third biggest value in -8, -2/5, -5, 11/14, 2?
-2/5
What is the third biggest value in 10.12, 2/3, -14?
-14
Which is the smallest value? (a) -18 (b) 0.03 (c) -1/6 (d) 11/3
a
What is the fifth smallest value in 1/4, -1/2, 0.035, 5/4, 2?
2
Which is the fourth smallest value? (a) 6 (b) 138 (c) -2/17 (d) 5 (e) 3
a
What is the third smallest value in -0.004, 2/21, 5, 0.2, 2?
0.2
What is the biggest value in 24, 4, -6, -27?
24
What is the smallest value in 8, 40, -5/2, 4?
-5/2
What is the third biggest value in 198, -0.4, 20, -0.04?
-0.04
What is the second biggest value in 0, -1178/9, -5/14?
-5/14
What is the second biggest value in -5/4, 0.03, -2, 221, -3?
0.03
What is the third biggest value in -1/2, 5, -47, 0.4, 36.74?
0.4
What is the biggest value in 0, 0.04, 469, 4, 2/11, -2/5?
469
What is the second smallest value in 7, 32, 0.29?
7
Which is the fifth smallest value? (a) -2/3 (b) 3 (c) 17 (d) 2/33 (e) -6/23 (f) 2/3
b
What is the second smallest value in 4, 0.2, 2/7, -61, -0.17?
-0.17
Which is the biggest value? (a) -3 (b) 6/11 (c) 45 (d) 6 (e) -0.1
c
What is the third smallest value in -1/3, 0.01, 25/4, 2, -5, 2/3?
0.01
What is the third biggest value in -14585, -4/7, 66?
-14585
Which is the second smallest value? (a) -0.02 (b) 0.19 (c) 1/34 (d) -3/5 (e) -8
d
What is the second smallest value in 2088, 0.2, 1/2, 4, 6?
1/2
What is the third smallest value in 1/2, 0.2, 20, -36702?
1/2
What is the biggest value in 1, 3/2, 8, -11/2, -2/3, 0.5?
8
What is the smallest value in 324.3, 2/3, -1/2?
-1/2
What is the fifth biggest value in -0.2, -12, -103, -2, -0.4?
-103
What is the smallest value in 1/5, 2/3, 1/150, -0.3?
-0.3
What is the biggest value in -4, 26, -2/7, 10/7, 0.1?
26
Which is the fourth biggest value? (a) 3/7 (b) -0.3 (c) 49 (d) -5/6 (e) -0.1
b
What is the fourth smallest value in 0.1, -3, -0.218, 188?
188
Which is the fourth smallest value? (a) -2101 (b) 1 (c) 2 (d) -1/10
c
What is the third smallest value in -2/3, -0.7, -13?
-2/3
Which is the fourth smallest value? (a) -1.59 (b) -25 (c) -1 (d) 7/6
d
What is the fourth biggest value in 0.5, 1, 12.9, -1, 26, 0.4?
0.5
Which is the third biggest value? (a) -790 (b) -0.3 (c) -0.22
a
What is the second smallest value in 0.4, -3/11, 16, 2, -3/5, 0.8?
-3/11
What is the third smallest value in -5, 9, 543?
543
What is the fifth biggest value in -23, 101, 0.5, -13, -1/3?
-23
What is the fourth biggest value in 1/150, -116, -0.2, 1/4?
-116
Which is the biggest value? (a) -16 (b) -0.01 (c) -6 (d) 2 (e) 4 (f) 3/23
e
Which is the second smallest value? (a) 0.3 (b) 2 (c) 2/9 (d) 414
a
What is the second smallest value in 0, 33, -8997, -2/17?
-2/17
Which is the third smallest value? (a) -20 (b) 3 (c)
|
{
"pile_set_name": "DM Mathematics"
}
|
3. Let r be h(-10). Suppose -r*i = 3 + 12. Let p = 24/7 - 346/105. Put i, p, 0 in ascending order.
i, 0, p
Let v(i) = -2*i + 7. Let j be v(3). Sort 0, j, -1, 4 in decreasing order.
4, j, 0, -1
Let w(i) = i**2 - 5*i + 2. Let v(a) = -2*a**2 + 11*a - 4. Let f(k) = 4*v(k) + 9*w(k). Let u be f(2). Sort 1/6, u, 3/8 in decreasing order.
u, 3/8, 1/6
Let l = 0.1 - 0.4. Sort -0.1, l, 1/8 in decreasing order.
1/8, -0.1, l
Let z = 1.3 + -0.3. Let t = 0.07 - -12.93. Let l = 12.7 - t. Sort z, l, -0.4 in increasing order.
-0.4, l, z
Let u be (-24)/(-9) + 2/6. Suppose 3*j = s + u*s - 7, -2*j + s - 3 = 0. Sort j, 5, 1.
j, 1, 5
Let j(x) = -x**3 + 2*x. Let w be j(-2). Suppose 10*i - 154 = -12*i. Sort w, -3, i in decreasing order.
i, w, -3
Let u = 0.0257 - -5.0843. Let a = u - 0.11. Let r = 46 + -51. Put a, -3, r in decreasing order.
a, -3, r
Let d = 109 + -109. Sort 4, -3, d.
-3, d, 4
Let y(t) = -t**3 - 5*t**2 + 4*t + 16. Let j be y(-5). Put -3, j, 2, -20 in ascending order.
-20, j, -3, 2
Suppose -5*v = -2 + 17. Let j be -3 - (-3 - -1)*1. Let m be j/(3/(-15)*-1). Sort v, m, 2 in decreasing order.
2, v, m
Suppose -13 - 19 = -4*a. Suppose g = -5*s - a, -5*s + 3*g - 2 = 2*g. Sort s, -5, 2 in descending order.
2, s, -5
Let c(v) = -v**2 - v - 4. Let i be c(-3). Let m be 2 + 1 - i/(-3). Let y be (-14)/(-8) + 0 - 1. Sort -4, y, m in decreasing order.
y, m, -4
Suppose -25 = -i + 6*i. Sort i, -1, -4.
i, -4, -1
Let m = -92/3 + 32. Let p = 0.13 - 0.13. Sort p, m, 4 in increasing order.
p, m, 4
Let t = 46/15 + -382/105. Let h be ((-3)/(18/4))/2. Let b = -0.13 + 5.13. Sort t, b, h.
t, h, b
Let r = 36 + -31. Sort -2, -0.5, r.
-2, -0.5, r
Suppose c + 0 = 2. Let t be (-1)/(c/(-6)) + 2. Put 2, -2, t in descending order.
t, 2, -2
Let u = -7.8 + 7.6. Put -0.68, u, 2/7 in increasing order.
-0.68, u, 2/7
Suppose 2*s - 3*w - 44 = -2*w, s + 4*w - 22 = 0. Let v be (s/(-55))/(2/20). Sort -3, v, 0.4 in increasing order.
v, -3, 0.4
Let d be (-6)/5*(-10)/(-3). Let y be (2 + -2 - 1)*d. Suppose m + 6 = 2*w, y*m + 0 + 3 = w. Sort w, 5, -5 in ascending order.
-5, w, 5
Let l = -0.54 - -0.34. Put l, 5, 4 in decreasing order.
5, 4, l
Let c = -7.89 + -0.11. Let z = -1.8 - c. Let u = 6 - z. Put 4, u, 0.2 in decreasing order.
4, 0.2, u
Let h be 32/5 - 8/20. Suppose u - h*u = 10. Put u, 0.3, 1 in ascending order.
u, 0.3, 1
Let v(a) = -4*a + 1. Let w be v(-1). Let y = 26 - 24. Put w, -3, y in ascending order.
-3, y, w
Let b be 0 + (-2)/9*(-4 - -3). Let k = 0.1 + -0.1. Sort 2, b, k.
k, b, 2
Let c be 2/3 + 63/(-135). Put 0.4, 1, c in ascending order.
c, 0.4, 1
Let q(r) = -4*r**3 - 2*r**2 + 2*r - 1. Let y be q(1). Put y, -3, 0.2 in decreasing order.
0.2, -3, y
Let f = -3 - -13. Let u = -11 + f. Put u, 3/5, 3/4 in increasing order.
u, 3/5, 3/4
Suppose -3*h - 4*s = 3 + 2, -4*h + 15 = s. Suppose 2 + 14 = -4*o. Put o, h, -3 in descending order.
h, -3, o
Let y = -6/17 - -8/119. Let u = 1.3 + 0.7. Put y, -2/5, u in ascending order.
-2/5, y, u
Let i(k) = k**3 - k**2 - 2*k - 4. Let o be i(3). Let m = o - 3. Sort -1/6, 0, m in descending order.
m, 0, -1/6
Let p be (4/6)/(2/15). Suppose 0 = 4*g - 5*g - p. Let z be ((-10)/(-90))/(1/(-3)). Sort z, -2/3, g in ascending order.
g, -2/3, z
Let c = -17 + 17. Put -1/7, c, 1/5 in descending order.
1/5, c, -1/7
Let b be (-12)/9*-3*(-1 + 2). Sort 5, -7, b.
-7, b, 5
Let f(a) = a - 2. Let w be f(6). Suppose -w*t - 26 = -3*g, 5*g = -t + 3 + 2. Suppose -20*j + 4*j = 0. Put j, t, -1 in decreasing order.
j, -1, t
Suppose 4*b + 29 = b + 4*r, 0 = -2*b + r - 11. Put b, -4, -2 in descending order.
-2, b, -4
Let k(t) = -2*t**2 + 4*t + 4. Let p be k(3). Suppose 0 = -h - 0*h + 5*r + 18, -5*h + 90 = -r. Let w be 42/h - p/(-6). Put 0, w, 3 in descending order.
3, w, 0
Let k = 2.6 + -3. Let b be -1 + 3 + (-357)/(-9). Let j = -43 + b. Sort k, j, 0 in increasing order.
j, k, 0
Let f = 1 + -2. Suppose 0 = -h - 1 + 1. Sort h, 1, f in descending order.
1, h, f
Let m(h) = 3*h - 1. Let v(g) = g**3 - 5*g**2 + 5*g - 2. Let a be v(4). Let s be m(a). Suppose -2*f = f + 12. Sort -3, s, f.
f, -3, s
Let n be 6/4*(-8)/(-30). Let y = -60 + 62. Put y, 4/7, n in decreasing order.
y, 4/7, n
Suppose 4*u = 5*u + 5
|
{
"pile_set_name": "DM Mathematics"
}
|
.
-33
Let c(o) = 100448*o - 15669895. What is c(156)?
-7
Let c(v) = -67312*v + 134626. Give c(2).
2
Let o(l) = -l**3 + 46*l**2 + 371*l - 167. Calculate o(53).
-167
Let j(n) = -n**3 + 56*n**2 - 328*n - 651. What is j(49)?
84
Let r(y) = -146*y**3 - 873*y**2 + 37*y + 26. Calculate r(-6).
-88
Let z(x) = 20733*x - 3192905. Give z(154).
-23
Let l(z) = -3*z**3 - 248*z**2 - 423*z - 1464. Calculate l(-81).
-6
Let h(m) = -15*m**3 - 77*m**2 - 218*m + 58. Determine h(-3).
424
Let k(c) = -1297*c + 9097. What is k(7)?
18
Let r(q) = -138*q**2 - 549*q + 12. Give r(-4).
0
Let o(c) = 8260*c - 181742. What is o(22)?
-22
Let f(h) = 13682*h - 82105. Give f(6).
-13
Let n(t) = -2*t**2 - 1266*t + 103094. What is n(73)?
18
Let a(u) = -99186*u + 495923. Give a(5).
-7
Let f(g) = -24477*g + 244792. What is f(10)?
22
Let b(j) = j**3 - 36*j**2 - 1492*j + 10030. Calculate b(6).
-2
Let c(z) = 15418*z + 61642. Give c(-4).
-30
Let l(w) = -120*w + 30934. Determine l(258).
-26
Let s(x) = -5*x**3 - 568*x**2 + 233*x - 1020. What is s(-114)?
-1590
Let d(m) = 5*m**3 - 606*m**2 + 712*m + 892. Give d(120).
-68
Let z(n) = -n**2 + 326*n - 9852. Give z(46).
3028
Let b(g) = -5521*g - 5483. Give b(-1).
38
Let s(q) = -849*q**2 - 11063*q + 24. Determine s(-13).
362
Let a(x) = 471*x**2 + 10835*x + 38. Determine a(-23).
-8
Let p(a) = 9*a**2 - 42*a - 1511. Calculate p(-9).
-404
Let p(b) = 44*b**2 + 839*b - 5266. Calculate p(5).
29
Let z(n) = 512*n - 18542. What is z(36)?
-110
Let k(z) = -4*z**3 - 40*z**2 - 5*z - 73. What is k(-10)?
-23
Let k(q) = -980*q - 75709. What is k(-77)?
-249
Let m(i) = -116*i**3 + 661*i**2 + 216*i - 43. Give m(6).
-7
Let s(r) = -2*r**3 - 300*r**2 - 1799*r - 28. What is s(-6)?
398
Let h(m) = 12199*m + 231674. Calculate h(-19).
-107
Let v(y) = -3*y**3 - 94*y**2 - 443*y + 43. Determine v(-6).
-35
Let f(w) = -w**3 - 21*w**2 - 49*w - 429. Determine f(-17).
-752
Let c(x) = 2*x**3 + 566*x**2 - 557*x + 3127. Determine c(-284).
3
Let u(k) = -5164*k + 25339. Give u(6).
-5645
Let y(p) = 930*p**3 - 7*p**2 + 3*p + 5. Calculate y(1).
931
Let r(w) = -w**2 - 32857*w - 197130. Give r(-6).
-24
Let o(z) = 16*z**3 + 18*z**2 - 62*z - 16. What is o(3)?
392
Let a(q) = 17*q**3 - 10*q**2 + 40*q - 64. Determine a(3).
425
Let d(z) = 5*z**3 - 261*z**2 - 142*z + 10128. What is d(52)?
40
Let t(s) = -1378*s + 9626. Calculate t(7).
-20
Let s(u) = 2*u**3 - 447*u**2 + 2394*u - 1961. Give s(218).
-2833
Let t(u) = 190513*u - 761903. What is t(4)?
149
Let h(f) = 42*f**2 - 5333*f - 133. Calculate h(127).
-6
Let r(g) = 1568*g**2 - 4371*g - 997. Calculate r(3).
2
Let i(y) = 2*y**3 + 9*y**2 - 294*y - 890. Determine i(-3).
19
Let k(v) = 64*v**3 + 25*v**2 + 70*v + 72. Give k(-1).
-37
Let q(l) = 5*l**2 - 8681*l + 112783. Determine q(13).
775
Let b(f) = 301*f**2 - 1805*f + 3615. Calculate b(2).
1209
Let y(f) = 87*f - 9355. What is y(102)?
-481
Let d(s) = -9556*s - 2331674. What is d(-244)?
-10
Let x(u) = -37*u**2 - 1625*u - 104. Determine x(-44).
-236
Let o(b) = 2*b**3 - 38*b**2 + 178*b - 827. Give o(15).
43
Let m(n) = 270968*n - 541844. Give m(2).
92
Let j(o) = -4*o**2 + 275*o - 423. Calculate j(68).
-219
Let q(f) = -2*f**2 + 521*f - 16204. What is q(36)?
-40
Let v(o) = o**2 - 158*o - 254. Determine v(152).
-1166
Let r(t) = t**2 + 23719*t + 1961780. Give r(-83).
-8
Let b(w) = -12659*w + 1708977. What is b(135)?
12
Let g(w) = -34692*w - 658964. What is g(-19)?
184
Let r(m) = -m**3 + 294*m**2 + 1141*m - 162503. Give r(296).
1
Let q(a) = -903*a**2 + 5152*a + 9. Determine q(6).
-1587
Let f(j) = 3*j**3 + 44*j**2 - 233*j - 1925. Determine f(-17).
13
Let f(j) = -40*j**3 + 4*j**2 - 227*j - 472. What is f(-2)?
318
Let b(o) = 2075*o - 6143. Give b(3).
82
Let q(c) = -c**3 + 54*c**2 - 470*c - 38. Determine q(11).
-5
Let d(h) = h**3 + 205*h**2 - 1468*h + 3284. What is d(-212)?
-108
Let p(a) = -6*a**2 + 89*a + 12171. What is p(53)?
34
Let w(i) = i**3 - 193*i**2 - 4496*i + 438. What is w(214)?
10
Let y(p) = 3*p
|
{
"pile_set_name": "DM Mathematics"
}
|
Find the third derivative of -n*x**4 + 45*n*x**3 + 2*n*x**2 - 2*n*x - 53*n - 3413*x**4 - x**3 - 53054*x**2 - 1 wrt x.
-24*n*x + 270*n - 81912*x - 6
What is the first derivative of -19*f**4 + 1133340*f**2 - 26145357 wrt f?
-76*f**3 + 2266680*f
What is the derivative of -97869219*p**4 + 58956070 wrt p?
-391476876*p**3
Find the second derivative of 14*k**3*t - 1405*k**3 - 448*k**2*n + 21*k*n*t - 3*k*n + 3*k*t - 202*k + 56 wrt k.
84*k*t - 8430*k - 896*n
What is the second derivative of -1948*z**5 - 48*z**3 - 4*z**2 - 8456474*z?
-38960*z**3 - 288*z - 8
What is the first derivative of 159*a**2*d**2 - a**2*d*w + 8*a**2*d - 2*a*d**2 + 2*a*d - 1291*d**2*w - 8*d**2 + 3*d + 3936*w wrt w?
-a**2*d - 1291*d**2 + 3936
Find the third derivative of -i*n**3 - 2*i*n**2*v**3 - i*n**2*v**2 - 68*i*v**3 + i + 2298842*n**3*v**3 - 26*n**2*v**3 - 35*n*v**2 wrt n.
-6*i + 13793052*v**3
Find the second derivative of -9083249*s**4 + 1792396*s - 2 wrt s.
-108998988*s**2
What is the derivative of 3*g**4*z - 75391*g**3*z**3 - 77*z**3 - 329*z**2 + 14 wrt g?
12*g**3*z - 226173*g**2*z**3
Find the third derivative of 3284395*v**5 - 12*v**3 - 361490109*v**2.
197063700*v**2 - 72
What is the third derivative of 2*f*j**3*l**2 - 4*f*j**2*l + 3*f*j**2 - 2*f*j + 1996009*j**3*l + 64*l**2 - 278 wrt j?
12*f*l**2 + 11976054*l
Find the second derivative of 111915906*f**2*u + 62*f*u + 2*f + 2*u + 421353 wrt f.
223831812*u
Find the third derivative of 18759*b**3*f*o + 104*b**3*x - 2*b**2*f*o*x - 2*b**2*f*x + b**2*o - 503*b*f*o*x + b*f*o + 3*f*o*x + 12*f*x wrt b.
112554*f*o + 624*x
Find the second derivative of -39813778*o**3*s + 7438*o*s + 3*o + 12 wrt o.
-238882668*o*s
What is the derivative of 2*v**3*w + v**3 - 152768*v**2*w - 15*v**2 - v + 122 wrt w?
2*v**3 - 152768*v**2
Find the second derivative of 1311*h**2*p*w**2 + 23741*h**2*p*w - 2*h*p*w**2 + h*p*w - 1003*h*w**2 + 635*h*w wrt h.
2622*p*w**2 + 47482*p*w
Find the third derivative of 43*y**5 - 4*y**4 + 52436*y**3 - 503753695*y**2.
2580*y**2 - 96*y + 314616
Find the third derivative of 2461*u**5 + 3*u**4 + 4*u**3 - 11*u**2 - 267*u + 161 wrt u.
147660*u**2 + 72*u + 24
Differentiate 392944381*u + 158545891 wrt u.
392944381
Find the second derivative of 4115517*i**4*p**2 - 3*i**3*p**3 + i*p**3 + 2*i*p - 531155963*i wrt i.
49386204*i**2*p**2 - 18*i*p**3
Find the third derivative of 34783793*v**3 + 21*v**2 + 5*v + 255930.
208702758
What is the third derivative of -3296260*y**3 + 4646478*y**2?
-19777560
What is the third derivative of -65*d*p**6 - 536935*d*p**5 - 41743015*d*p**2 wrt p?
-7800*d*p**3 - 32216100*d*p**2
Find the third derivative of 7474*o**2*q**3*y - 71*o**2*q**2*y + 22*o*q**3*y + 2*q**3 - q**2*y + 5679*q**2 + q*y wrt q.
44844*o**2*y + 132*o*y + 12
What is the second derivative of 476946831*p**4 + 79075*p + 2576?
5723361972*p**2
What is the second derivative of 5952318*j**2*y**3 + 3919790*j*y**3 wrt j?
11904636*y**3
What is the third derivative of -56*u**6 + 41397*u**5 - 4*u**3 + 49682887*u**2?
-6720*u**3 + 2483820*u**2 - 24
Find the third derivative of -x*y**4 + 33345*x*y**2 + 7*x*y + 100*x + 334052602*y**5 - 2*y**2 wrt y.
-24*x*y + 20043156120*y**2
Find the third derivative of 31363*w**5 + 592*w**3 - 177507220*w**2 + 2*w wrt w.
1881780*w**2 + 3552
Differentiate -2*h*m**2 - 11*h*m + 162585*h + 53356*m**2 + 2 wrt h.
-2*m**2 - 11*m + 162585
What is the first derivative of -20654*o**4 + 78*o**2 - 3*o + 9229391 wrt o?
-82616*o**3 + 156*o - 3
Find the second derivative of -220859423*a**2 - 3078312*a + 10.
-441718846
What is the third derivative of 3*m**6 + 3*m**4 + 1234295*m**3 - 186*m**2 - 41164 wrt m?
360*m**3 + 72*m + 7405770
What is the derivative of 108206319*b**3 + 119778289?
324618957*b**2
Find the second derivative of -24*b**3 - 2087217*b**2*y**2 - b*y**2 + 12*b*y - 88*b - y**2 + 187*y + 2 wrt b.
-144*b - 4174434*y**2
Find the second derivative of -143*h**5 - 66500*h**3 - 34658360*h wrt h.
-2860*h**3 - 399000*h
Find the third derivative of -173824024*i**4 + 314434810*i**2.
-4171776576*i
Differentiate 936*b**3 - 5*b**2 + 9*b + 110168837 wrt b.
2808*b**2 - 10*b + 9
What is the derivative of -w**4 - 4260370*w**3 + 22498815 wrt w?
-4*w**3 - 12781110*w**2
Find the third derivative of
|
{
"pile_set_name": "DM Mathematics"
}
|
5447
In base 3, what is 10222211 - 12022210?
-1022222
In base 6, what is 1102052215243 + 0?
1102052215243
In base 5, what is -43 + 2020041213?
2020041120
In base 4, what is -22220230310 - -32?
-22220230212
In base 12, what is 29 - 2203632?
-2203605
In base 7, what is -22521334 + 3?
-22521331
In base 13, what is -4035a + 18?
-40342
In base 12, what is 8a - 15787?
-156b9
In base 7, what is 5624435404 + -5?
5624435366
In base 11, what is -2a31 + -7844?
-a775
In base 12, what is 2 + 401bb55?
401bb57
In base 7, what is 43144030 + 1?
43144031
In base 11, what is 174950 - -2a29?
177879
In base 10, what is 223014896 - 3?
223014893
In base 14, what is -2d9a9 - 24?
-2d9cd
In base 11, what is -553803 - -19?
-553795
In base 7, what is -1 - 6041112322?
-6041112323
In base 2, what is 100 + 1011101010011001011110101101?
1011101010011001011110110001
In base 8, what is 77401 - -115?
77516
In base 7, what is -30255 + 5202?
-22053
In base 16, what is -1 + -439499?
-43949a
In base 8, what is 5 - 15216715?
-15216710
In base 3, what is -10 + -10201120122100?
-10201120122110
In base 4, what is 3 + -112133000012?
-112133000003
In base 8, what is -1 + -13131360?
-13131361
In base 13, what is 5 + 1003736?
100373b
In base 13, what is -b6315 + -8?
-b6320
In base 14, what is -b218 - -67?
-b191
In base 16, what is 4 - -160b9e2?
160b9e6
In base 4, what is -10320 - -102000120?
101323200
In base 13, what is 1049 - -611b4?
62230
In base 4, what is 2 + 11033320023?
11033320031
In base 10, what is -11648867 - -32?
-11648835
In base 7, what is -3 + 1203203501?
1203203465
In base 3, what is 122 + -10012110212222122?
-10012110212222000
In base 5, what is -212020314430 - 4?
-212020314434
In base 5, what is 4301402 + -10014?
4241333
In base 12, what is 1a - 35889?
-3586b
In base 16, what is -d + b42a8e?
b42a81
In base 2, what is -1011101111010001100111010 - -11?
-1011101111010001100110111
In base 5, what is -110244104030 + 0?
-110244104030
In base 2, what is -100011101100010 + 101001101?
-100011000010101
In base 5, what is 24342302133 - -10?
24342302143
In base 11, what is 95 + 6162a?
61714
In base 16, what is 4 + -23b65b?
-23b657
In base 12, what is -b36587 + -110?
-b36697
In base 7, what is -53111422 - 5?
-53111430
In base 12, what is 4 - 613435?
-613431
In base 11, what is 1a9844160 - 2?
1a9844159
In base 8, what is -13470714 + 225?
-13470467
In base 8, what is -7635573 + -5?
-7635600
In base 3, what is -10112001211210110 + -2?
-10112001211210112
In base 9, what is -5 + 18747761?
18747755
In base 9, what is -5 - -3716487?
3716482
In base 5, what is 2330121212 - -334?
2330122101
In base 4, what is 2 - -1022203001300?
1022203001302
In base 14, what is -bd9 - -532?
-6a7
In base 12, what is -129b42 - -21?
-129b21
In base 2, what is 110000100110011100100 - 10010?
110000100110011010010
In base 10, what is -5866650 + 2?
-5866648
In base 11, what is 9 + 12891?
1289a
In base 15, what is 8e417 - 298?
8e16e
In base 7, what is 151155406 + 22?
151155431
In base 5, what is 0 + -222312401?
-222312401
In base 8, what is 7521424 - -2?
7521426
In base 6, what is -5223535205 - 0?
-5223535205
In base 2, what is 110110011101001 - 11100101100000?
11001110001001
In base 10, what is -3 - 176410611?
-176410614
In base 13, what is a + -b666?
-b659
In base 15, what is 49 - d96bb?
-d9672
In base 8, what is 267266333 - 5?
267266326
In base 15, what is -1082 - -c2a?
-357
In base 10, what is -54199 - 8070?
-62269
In base 14, what is 727a8c36 + -2?
727a8c34
In base 9, what is 24120 + -4314?
18705
In base 9, what is -543733864 + 4?
-543733860
In base 14, what is 30c3 + -7198?
-40b5
In base 16, what is 2ec + -31ec?
-2f00
In base 6, what is 15 - 14015554?
-14015535
In base 4, what is 1210 - -120032322?
120100132
In base 12, what is a61b2 - 83?
a612b
In base 14, what is d078a - -4?
d0790
In base 12, what is 1201a4713 - 1?
1201a4712
In base 10, what is 7 + 21669528?
21669535
In base 11, what is 892045150 + -3?
892045148
In base 13, what is 972b - -c4?
9822
In base 6, what is 52351 - -4514?
101305
In base 13, what is -42 + -3a3a?
-3a7c
In base 6, what is -50 + 133552500?
133552410
In base 10, what is -15 + -19955547?
-19955562
In base 11, what is 1a + 241195?
241204
In base 15, what is 6bd - -e721?
edde
In base 6, what is 1224 - -152112?
153340
In base 11, what is -1576 - -55a20?
54455
In base 11, what is -35 + 272a5?
27270
In base 14, what is -3 - -202a3892?
202a388d
In base 9, what is 33400 - -422?
33822
In base 5, what is 103 - 2002232031?
-2002231423
In base 8, what is 2737 - 23732?
-20773
In base 15, what is -86c77 - 36?
-86cad
In base 9, what is -216 - -20377?
20161
In base 15, what is 6 - -21c680?
21c686
In base 2, what is 100011101100101
|
{
"pile_set_name": "DM Mathematics"
}
|
third derivative of -3*b*w**3 + 182*b*w - 43*w**6 - 2*w**2 wrt w?
-18*b - 5160*w**3
Find the second derivative of -2274*m**4*o**3 - 4*m**4 + 15*m*o**3 - 5*m + 3*o wrt m.
-27288*m**2*o**3 - 48*m**2
What is the first derivative of 128*a**3*b*x + 414*a**3 - a**2*b**2*x - 2*a**2*b - a*x + 6*b**2 + 2*x wrt x?
128*a**3*b - a**2*b**2 - a + 2
Differentiate -s**4 - 173*s + 302.
-4*s**3 - 173
Find the second derivative of -c**3*d - 122*c**2*d**2 - 3*c*d - d**2 wrt c.
-6*c*d - 244*d**2
Find the third derivative of f**4*p + 2*f**3*p - 32*f**3 - f**2*p + 506*p wrt f.
24*f*p + 12*p - 192
Find the third derivative of 4*d**3*v**4 + 2*d**3*v**2 - 12*d**2*v**4 - 3*d*v**2 + 3*v**2 wrt v.
96*d**3*v - 288*d**2*v
Differentiate -115*t**2 + 280.
-230*t
What is the second derivative of -39*g**2*h + 2*g**2 + 43*g*h - 2*h wrt g?
-78*h + 4
What is the third derivative of -23*b*g**4 + 2*b*g**3 - b*g**2 - 51 wrt g?
-552*b*g + 12*b
Find the second derivative of -52*d**3*z**2 + 10*d**3 + 7*z wrt z.
-104*d**3
What is the derivative of 2*b**3 - 453*b + 5425 wrt b?
6*b**2 - 453
What is the third derivative of -3*c**2*r**4 + 131*c**2*r**2 + 39*c**2*r - 96*c*r**4 + 2*r**4 wrt r?
-72*c**2*r - 2304*c*r + 48*r
Find the first derivative of d*r**3*y**3 + 750*d*r**3 + 2*r**3*y**2 + 14*r**2 + 2*r*y**3 wrt d.
r**3*y**3 + 750*r**3
What is the third derivative of -19*z**6 + 816*z**2 wrt z?
-2280*z**3
What is the third derivative of 2*j**5*o - 247*j**5 + 3*j**2*o - 253*j*o - 2*o wrt j?
120*j**2*o - 14820*j**2
Differentiate 7496*j**2 - 19967 with respect to j.
14992*j
Find the third derivative of 59*k*l**4 + 4*k + l**4 + 2*l**2 wrt l.
1416*k*l + 24*l
What is the second derivative of 2*b**4 - 302*b**2 + 2847*b - 1?
24*b**2 - 604
What is the third derivative of -38*v**4 + 40*v**3 + 302*v**2 - 5 wrt v?
-912*v + 240
What is the third derivative of -8*b**6 - 41*b**4 - 224*b**2 + 2*b wrt b?
-960*b**3 - 984*b
What is the derivative of -111*u**2 - 25*u + 9273 wrt u?
-222*u - 25
What is the second derivative of -1687*c**3*d**2 - 509*c**3*d wrt d?
-3374*c**3
What is the second derivative of 1437*j**5 + j**2 - 7034*j?
28740*j**3 + 2
Find the third derivative of 3*a*j*o*p**2 + 2*a*j*o + 2*a*j*p**3 + a*o*p**2 + a*o + 5*j*o*p**4 - 10*j*p**2 - 8*o*p**4 wrt p.
12*a*j + 120*j*o*p - 192*o*p
Find the third derivative of n**3*q**3 - 5*n**3*q**2 - n**3 + 8*n*q**2 + 158*q**3 wrt q.
6*n**3 + 948
Differentiate o**3 + o**2*s + 4*o**2 - 56*s wrt o.
3*o**2 + 2*o*s + 8*o
Find the second derivative of -194*w**3 - 156*w.
-1164*w
Find the second derivative of 18*d**3*j*x**2 - 2*d**3*j*x + d**3*j - 17*d**3*x**2 - 2*d*j*x + 2*d*x wrt x.
36*d**3*j - 34*d**3
What is the derivative of -2310*j**3 - 544?
-6930*j**2
What is the third derivative of 9*t**3*u - 3*t**3 + 3*t**2*u - t*u + 3 wrt t?
54*u - 18
What is the second derivative of -4*w**5 + 43*w**3 - 380*w wrt w?
-80*w**3 + 258*w
Differentiate -m*q**2*z - 3*m*z**3 + 9*q**2*z - 2*q*z**3 with respect to m.
-q**2*z - 3*z**3
What is the third derivative of -20*c**6 + 4*c**5 - 2*c**2 + 165*c?
-2400*c**3 + 240*c**2
Find the third derivative of m**6 + 105*m**3*n**3 - 2*m**2 - 259*m*n**3 wrt m.
120*m**3 + 630*n**3
Find the second derivative of 810*h**5 + 867*h + 2.
16200*h**3
Find the third derivative of 4*d**2*l**3*u - 4*d**2*l**2*u + 37*d**2*l - 3*l**3*u - 2*l*u wrt l.
24*d**2*u - 18*u
What is the first derivative of -247*r**4 + 2*r**2 - 288?
-988*r**3 + 4*r
Find the second derivative of -1556*f**5 + 560*f.
-31120*f**3
What is the third derivative of 2178*m**4 - m**2 - 102 wrt m?
52272*m
What is the third derivative of -75*m**4 - 2*m**3 - 88*m**2 - m?
-1800*m - 12
Find the second derivative of -1342*a**2 - 188*a.
-2684
Find the second derivative of -55*m**4 + 2*m**3 + 24*m**2 + 2*m + 4101 wrt m.
-660*m**2 + 12*m + 48
Find the third derivative of 1485*f**6 + 691*f**2.
178200*f**3
What is the second derivative of -8373*b**5 + 11489*b?
-167460*b**3
Find the second derivative of -g**4*o - g**4 + 14*g**2*o + 8*g*o + 2*o - 7 wrt g.
-12*g**2*o - 12*g**2 + 28*o
What is the second derivative of 434*f**3 - 2*f**2 - 142*f - 3?
2604*f - 4
What is the second derivative of -z**5 - 9*z**3 + 2*z + 28?
-20*z**3 - 54*z
What is the first derivative of -9*b**3 + 443*
|
{
"pile_set_name": "DM Mathematics"
}
|
37?
-2569
What comes next: 1544, 1601, 1634, 1631, 1580, 1469, 1286?
1019
What is the next term in 33905, 33898, 33891?
33884
What is next in 2273, 2111, 1949?
1787
What is next in 89286, 178575, 267864, 357153?
446442
What comes next: -31, -112, -189, -208, -115?
144
What comes next: 1514067, 1514065, 1514063, 1514061, 1514059?
1514057
What is the next term in 5385, 5382, 5379, 5376?
5373
What is next in 258, 815, 1744, 3045, 4718, 6763, 9180?
11969
What is next in 1457294, 2914589, 4371882, 5829173, 7286462, 8743749, 10201034?
11658317
What is the next term in -61043, -122085, -183127, -244169, -305211, -366253?
-427295
What comes next: 321879, 321885, 321891, 321897, 321903?
321909
What comes next: 1133, 1296, 1459, 1622?
1785
What is the next term in -86, -74, 56, 394, 1030, 2054, 3556, 5626?
8354
What comes next: -1240, -1209, -1178, -1147, -1116?
-1085
What comes next: 408, 1069, 2166, 3699, 5668, 8073, 10914?
14191
What comes next: -5905, -11728, -17553, -23380?
-29209
What comes next: -1045, -1017, -931, -757, -465, -25, 593, 1419?
2483
What is next in -6819, -13635, -20451?
-27267
What is next in 8008, 8013, 8018, 8023, 8028, 8033?
8038
What is the next term in 16033, 32064, 48093, 64120, 80145?
96168
What comes next: -115, -206, -261, -262, -191?
-30
What is next in 516, 1014, 1512, 2010?
2508
What comes next: -341, -745, -1211, -1745, -2353, -3041?
-3815
What is next in -1528, -5964, -13358, -23710, -37020, -53288?
-72514
What comes next: -466375, -466373, -466371, -466369, -466367, -466365?
-466363
What is next in 4299, 17209, 38731, 68871, 107635, 155029, 211059, 275731?
349051
What comes next: 8, 17, 30, 47, 68, 93, 122?
155
What comes next: -3693, -3668, -3627, -3570?
-3497
What is the next term in 204, 262, 320, 378, 436, 494?
552
What is next in -736, -2932, -6578, -11674, -18220, -26216, -35662?
-46558
What is next in -1467, -2456, -3435, -4398, -5339?
-6252
What is the next term in -431, -574, -727, -896, -1087?
-1306
What is the next term in 468, 1846, 4142, 7356, 11488, 16538?
22506
What is next in 6572425, 6572427, 6572429?
6572431
What comes next: 102759, 102764, 102769, 102774, 102779?
102784
What comes next: -1073, -4966, -11457, -20552, -32257?
-46578
What is next in 1977, 1957, 1925, 1875, 1801, 1697?
1557
What comes next: -1508, -5863, -13098, -23207, -36184, -52023?
-70718
What is next in -3667, -3547, -3425, -3301, -3175, -3047, -2917?
-2785
What is the next term in -2196, -4642, -7088, -9534, -11980?
-14426
What comes next: 124, 97, 74, 55?
40
What comes next: 8272, 8270, 8268, 8266, 8264?
8262
What comes next: 3902, 30428, 102430, 242648, 473822, 818692?
1299998
What is the next term in -126, -480, -1072, -1896, -2946?
-4216
What is next in 43, -7, -91, -221, -409, -667, -1007, -1441?
-1981
What is the next term in -3277, -3340, -3487, -3760, -4201, -4852, -5755?
-6952
What comes next: -800, -815, -856, -935, -1064?
-1255
What comes next: 177, 360, 519, 648, 741, 792, 795?
744
What is next in -137, -141, -167, -227, -333, -497, -731, -1047?
-1457
What comes next: 306, 2367, 7958, 18843, 36786, 63551?
100902
What is next in -12, 17, 90, 213, 392, 633?
942
What is next in -1803, -3588, -5373?
-7158
What is the next term in -5816, -6109, -6410, -6725, -7060?
-7421
What comes next: 625, 639, 653?
667
What comes next: 748, 637, 522, 403?
280
What comes next: 711, 378, 45?
-288
What is next in 341, 609, 803, 887, 825, 581?
119
What is the next term in -15673, -15719, -15765, -15811, -15857, -15903?
-15949
What comes next: -49543, -99110, -148677, -198244, -247811, -297378?
-346945
What is next in 1523, 6065, 13635, 24233, 37859, 54513?
74195
What is the next term in 6839, 13464, 20087, 26708, 33327, 39944, 46559?
53172
What is next in 276, 1058, 2346, 4146, 6464?
9306
What comes next: 1851, 1750, 1581, 1344, 1039?
666
What is next in -42367, -84719, -127071, -169423, -211775?
-254127
What is next in -2342, -4682, -7020, -9356, -11690, -14022?
-16352
What is the next term in 1220, 838, 456?
74
What comes next: -210, -832, -1882, -3360, -5266, -7600?
-10362
What is the next term in -7816, -15531, -23190, -30787, -38316, -45771?
-53146
What is next in 5115, 5084, 5055, 5028, 5003, 4980, 4959?
4940
What comes next: 7472, 7449, 7412, 7355, 7272, 7157?
7004
What comes next: 224, 100, -106, -394, -764?
-1216
What comes next: 219, -218, -655, -1092?
-1529
What comes next: -32297, -129255, -290853, -517085, -807945, -1163427, -1583525?
-2068233
What is the next term in 541, 638, 733, 826, 917?
1006
What comes next: -65, -152, -295, -524, -869?
-1360
What comes next: 65,
|
{
"pile_set_name": "DM Mathematics"
}
|
14204369?
1439, 9871
List the prime factors of 7027962.
2, 3, 59, 19853
List the prime factors of 344186.
2, 172093
What are the prime factors of 20865774?
2, 3, 1013, 3433
What are the prime factors of 6506399?
6506399
What are the prime factors of 102625?
5, 821
List the prime factors of 99679.
99679
What are the prime factors of 79863?
3, 7, 3803
List the prime factors of 1200673.
1200673
List the prime factors of 203837.
103, 1979
List the prime factors of 13781745.
3, 5, 19, 199
What are the prime factors of 115512?
2, 3, 4813
List the prime factors of 4424519.
11, 241, 1669
What are the prime factors of 357453?
3, 1471
List the prime factors of 41561.
13, 23, 139
What are the prime factors of 7007750?
2, 5, 28031
List the prime factors of 156279.
3, 113, 461
List the prime factors of 3700410.
2, 3, 5, 7, 67, 263
What are the prime factors of 1770900?
2, 3, 5, 5903
List the prime factors of 3472447.
11, 315677
What are the prime factors of 102781?
7, 14683
What are the prime factors of 175983?
3, 58661
What are the prime factors of 5400?
2, 3, 5
List the prime factors of 468561.
3, 313, 499
List the prime factors of 1921444.
2, 7, 163, 421
What are the prime factors of 610473?
3, 59, 3449
What are the prime factors of 1030741?
1030741
What are the prime factors of 1561288?
2, 195161
List the prime factors of 10389128.
2, 1298641
List the prime factors of 504007.
7, 89, 809
List the prime factors of 3007010.
2, 5, 29, 10369
List the prime factors of 277411.
277411
What are the prime factors of 487622?
2, 479, 509
List the prime factors of 777555.
3, 5, 37, 467
What are the prime factors of 146543?
146543
What are the prime factors of 10412768?
2, 139, 2341
What are the prime factors of 898483?
898483
List the prime factors of 119927.
43, 2789
List the prime factors of 185769.
3, 20641
What are the prime factors of 76374?
2, 3, 4243
What are the prime factors of 15229538?
2, 1217, 6257
List the prime factors of 447665.
5, 89533
What are the prime factors of 916050?
2, 3, 5, 31, 197
What are the prime factors of 61048?
2, 13, 587
What are the prime factors of 9110908?
2, 2277727
What are the prime factors of 3008893?
47, 64019
List the prime factors of 2719627.
101, 26927
List the prime factors of 102945.
3, 5, 6863
List the prime factors of 58562.
2, 7, 47, 89
What are the prime factors of 2804677?
17, 29, 5689
List the prime factors of 7928279.
1229, 6451
What are the prime factors of 310615?
5, 23, 37, 73
List the prime factors of 10948733.
10948733
List the prime factors of 406042.
2, 7, 13, 23, 97
List the prime factors of 8206.
2, 11, 373
What are the prime factors of 35334596?
2, 11, 803059
What are the prime factors of 281699?
11, 25609
What are the prime factors of 955740?
2, 3, 5, 17, 937
List the prime factors of 12550188.
2, 3, 7, 53, 2819
List the prime factors of 5215591.
199, 26209
What are the prime factors of 3091885?
5, 618377
What are the prime factors of 513325?
5, 20533
What are the prime factors of 15189833?
15189833
What are the prime factors of 363646?
2, 173, 1051
What are the prime factors of 9108710?
2, 5, 13, 70067
What are the prime factors of 6496275?
3, 5, 37, 2341
List the prime factors of 2414702.
2, 1207351
List the prime factors of 8158358.
2, 13, 313783
List the prime factors of 12578957.
181, 69497
List the prime factors of 671683.
89, 7547
What are the prime factors of 117761?
7, 16823
What are the prime factors of 3610913?
367, 9839
What are the prime factors of 12765939?
3, 4255313
What are the prime factors of 2584335?
3, 5, 13, 29, 457
List the prime factors of 342432.
2, 3, 29, 41
What are the prime factors of 2716241?
11, 246931
List the prime factors of 492497.
31, 15887
What are the prime factors of 752356?
2, 11, 17099
What are the prime factors of 5089304?
2, 11, 151, 383
What are the prime factors of 253826?
2, 126913
List the prime factors of 51849.
3, 7, 823
What are the prime factors of 15167562?
2, 3, 43, 58789
What are the prime factors of 5504?
2, 43
List the prime factors of 5250295.
5, 821, 1279
What are the prime factors of 17457781?
11, 1237, 1283
List the prime factors of 454937.
7, 17, 3823
List the prime factors of 2632263.
3, 17, 51613
List the prime factors of 4214985.
3, 5, 487, 577
What are the prime factors of 167208?
2, 3, 6967
List the prime factors of 182291.
17, 10723
What are the prime factors of 2063587?
2063587
What are the prime factors of 1222054?
2, 611027
List the prime factors of 81963.
3, 7, 1301
What are the prime factors of 39945398?
2, 41, 167, 2917
List the prime factors of 1126823.
1126823
List the prime factors of 639972.
2, 3, 29, 613
What are the prime factors of 4114671?
3, 11, 67, 1861
List the prime factors of 666864.
2, 3, 11, 421
What are the prime factors of 2292320?
2, 5, 14327
What are the prime factors of 144069?
3, 48023
List the prime factors of 17714870.
2, 5, 41, 43207
What are the prime factors of 1004838?
2, 3, 223, 751
List the prime factors of 11497563.
3, 7, 11, 47, 353
List the prime factors of 27956115.
3, 5, 11, 56477
What are the prime factors of 31640391?
3, 3515599
What are the prime factors of 20456?
2, 2557
List the prime factors of 6896623.
151, 45673
What are the prime factors of 1814917?
13, 139609
List the prime factors of 8826534.
2, 3, 439, 1117
List the prime factors of 8178049.
11, 59, 12601
What are the prime factors of 1330614?
2, 3, 41, 601
List the prime factors of 4689674.
2, 11, 59, 3613
What are the prime factors of 866542?
2, 433271
What are the prime factors of 759456?
2, 3, 293
What are the prime factors of 34465?
5, 61, 113
List the prime factors of 610018.
2, 31, 9839
What are the prime factors of 2974260?
2, 3, 5, 19, 2609
List the prime factors of 48784.
2, 3049
List the prime factors of 2275569.
3, 17, 107, 139
List the prime factors of 6300662.
2, 3150331
List the prime factors of 430252
|
{
"pile_set_name": "DM Mathematics"
}
|
c a prime number?
True
Let a(x) = x**3 + 15*x**2 + 14*x + 2. Let h be a(-14). Suppose 3172 = 3*m + 2*m - k, -3*k = -h*m + 1261. Is m a composite number?
True
Suppose 0 = -6*y + 2*y + 2*f + 57002, 5*y - 4*f = 71251. Is y prime?
True
Let h(x) = x**3 + 7*x**2 + 17*x + 12. Let q be h(-6). Let m = q + 151. Is m a prime number?
True
Let u(f) be the third derivative of -f**6/120 - f**5/60 + f**4/2 + 5*f**3/6 - f**2. Is u(-10) a prime number?
False
Let d(m) = 92*m**2 + 12*m + 15. Let c(h) = -61*h**2 - 8*h - 10. Let u(q) = -8*c(q) - 5*d(q). Is u(-2) a composite number?
False
Suppose -i = 4*z - 9147, 2*i - 18*z = -22*z + 18294. Is i a prime number?
False
Let j(w) = -w**2 - w + 3. Let u be j(0). Suppose -6 = u*c - 21. Suppose 0 = -c*d + 183 + 102. Is d a composite number?
True
Suppose -15*m = -18*m + 3423. Is m a composite number?
True
Is 1/((-115764)/38589 + 1 + 2) a composite number?
True
Let b(c) = 2*c - 10. Let d be b(5). Suppose d = -4*m - 200 + 2160. Suppose 0 = -f + 73 + m. Is f a prime number?
True
Let s be (6 - -3) + 8/(-2). Suppose s*z + z = 2118. Is z a composite number?
False
Let d(t) = -t**3 - 13*t**2 + 15*t + 12. Let m be d(-14). Is (-7)/(-14) - 245/m a composite number?
True
Let s be -63 - (-1 - (-4 + 1)). Is (-208)/(-10) - 13/s a composite number?
True
Suppose 9*p = 13*p - 20452. Suppose -824 + p = a. Is a prime?
True
Let k(s) = s**2 - 2*s - 1. Let m be k(3). Let o(r) = -2*r**2 + 4*r - 3*r**3 + 3*r**3 - 2 + 7*r**3 - r**3. Is o(m) a prime number?
False
Let r(k) = -59*k + 14. Let f be r(-3). Is (f/(-2))/(4/(-8)*1) a composite number?
False
Suppose 4 = u + 2. Suppose -3*f - u*f = -1035. Suppose 59 = i + 5*n - f, -n - 1169 = -4*i. Is i a composite number?
True
Let b(x) be the third derivative of x**6/360 - 3*x**5/40 - 17*x**4/24 - 4*x**3/3 + 3*x**2. Let t(z) be the first derivative of b(z). Is t(12) a prime number?
True
Let m(o) = -19*o - 11. Let v(x) = 115*x + 65. Let t(d) = -39*m(d) - 6*v(d). Is t(8) composite?
True
Let k(j) = 1149 - 2*j**2 + j**2 - 1084. Is k(0) a prime number?
False
Let g = -30 + 33. Suppose -4*c - 2*y = -9966, -c + g*y + 4971 = c. Let h = -1661 + c. Is h a composite number?
False
Suppose -11*i + 4 = -9*i. Let t be -2 - (-18)/(i + 1). Suppose -t*q - 2*g = -6*q + 526, -1315 = -5*q - g. Is q composite?
False
Let l(m) = 337*m + 76. Is l(25) prime?
True
Let w(k) = -190*k + 43. Let b(o) be the second derivative of 21*o**3/2 - 7*o**2 - 7*o. Let g(a) = 17*b(a) + 6*w(a). Is g(-9) a composite number?
False
Let a(g) = 11 + 111*g - 18 + 85*g + 34. Is a(5) a prime number?
False
Suppose -176631 = 9*f - 543714. Is f composite?
False
Suppose -2*m + 6*y = 2*y + 2972, -3*m = 5*y + 4469. Is m/(-12)*(-1)/4*-1 composite?
False
Let g(u) = -u**2 + 9*u - 3. Let l be g(9). Let w be 117 - (0 + -6)/l. Suppose -4*a - 4*s - w = -7*a, -a - 3*s = -34. Is a composite?
False
Suppose -3*x - 4*z = -3*z - 6987, -x = -4*z - 2329. Is x composite?
True
Suppose -t - 1 = 0, 2*l + 0*t - t = 5. Suppose 543 = 4*s - g, -s + 5*s = -l*g + 534. Let m = s - -52. Is m prime?
False
Let x be ((-136)/24)/((-2)/366). Suppose 2*m - 3*a = 522, 9 = -4*m + 2*a + x. Suppose -5*s + 3*z + 433 = -24, -3*s = 3*z - m. Is s composite?
False
Suppose -s - 4*s - 10345 = -3*z, 10369 = 3*z + s. Suppose 4*l = -l + z. Is l a composite number?
False
Suppose -4*y + 6*y = -18. Let a(j) = 10*j**2 - 9*j - 12. Is a(y) a composite number?
True
Suppose 0 = 5*s + 63 - 118. Let x(a) = 76*a + 33. Is x(s) a composite number?
True
Suppose 5*u - 3*w - 40 = 0, 5*w - 16 = 5*u - 66. Suppose 4*h = -0*b - 4*b + 92, u*b - 93 = -4*h. Is h composite?
True
Let y(p) = p**3 + 12*p**2 + 11*p + 7. Let x be y(-11). Suppose 4*k - x*k = -2721. Is k a prime number?
True
Is ((-2882152)/936 + 4/18)/(-1) composite?
False
Suppose -4*q = -7*q - 3771. Let d = q + 1910. Is d a composite number?
False
Suppose 5*u = -3*i + 8*i - 128965, 0 = -2*u - 4. Is i composite?
True
Suppose 5*y - 20 = -4*b + 44, 0 = 2*y + 4*b - 16. Let x = y + -12. Suppose 2*n = -x*z + 82, z - 4*n - n - 4 = 0. Is z prime?
True
Let c be 3/2*(-28)/(-21). Suppose -404 = -h + 5*a, h = -0*h - 4*a + 413. Suppose n = c*n - h. Is n composite?
False
Suppose -4*j + 4596 = 4*l, 5*l + 7292 = 5*j + 1567. Is j a composite number?
True
Let r be 0 + (1 - 4) - (-3 + -285). Let y = -28 + r. Is y prime?
True
Suppose -3*s + 0*s = -3*v + 135252, -4*v + 3*s = -180339. Suppose 31*k - v = 10*k. Is k prime?
False
Let m(b) be the first derivative of 25*b**2/2 - 7*b + 4. Let k be m(6). Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
inutes before 5:51 AM?
8:05 PM
What is 141 minutes after 1:35 PM?
3:56 PM
What is 414 minutes before 4:48 PM?
9:54 AM
What is 197 minutes after 7:22 PM?
10:39 PM
How many minutes are there between 8:09 AM and 7:19 PM?
670
What is 67 minutes after 11:50 PM?
12:57 AM
How many minutes are there between 3:47 PM and 1:36 AM?
589
What is 295 minutes after 7:28 AM?
12:23 PM
What is 318 minutes after 12:18 PM?
5:36 PM
What is 627 minutes before 2:41 PM?
4:14 AM
What is 253 minutes before 8:46 PM?
4:33 PM
How many minutes are there between 10:32 PM and 10:02 AM?
690
How many minutes are there between 3:31 AM and 11:44 AM?
493
How many minutes are there between 1:24 PM and 11:00 PM?
576
How many minutes are there between 7:57 PM and 8:17 PM?
20
What is 376 minutes after 11:41 AM?
5:57 PM
What is 697 minutes before 9:42 AM?
10:05 PM
What is 496 minutes after 3:54 PM?
12:10 AM
How many minutes are there between 7:31 AM and 10:58 AM?
207
What is 332 minutes before 5:10 PM?
11:38 AM
How many minutes are there between 7:40 PM and 5:00 AM?
560
How many minutes are there between 11:23 PM and 6:59 AM?
456
What is 605 minutes after 10:00 PM?
8:05 AM
How many minutes are there between 5:52 AM and 4:17 PM?
625
How many minutes are there between 2:58 PM and 2:28 AM?
690
What is 675 minutes before 8:05 AM?
8:50 PM
What is 126 minutes before 4:00 PM?
1:54 PM
What is 49 minutes after 1:59 PM?
2:48 PM
How many minutes are there between 9:18 PM and 7:15 AM?
597
What is 51 minutes before 4:36 PM?
3:45 PM
What is 376 minutes before 4:41 AM?
10:25 PM
How many minutes are there between 2:31 AM and 5:45 AM?
194
How many minutes are there between 12:40 PM and 7:59 PM?
439
What is 332 minutes before 3:03 AM?
9:31 PM
What is 473 minutes before 2:36 PM?
6:43 AM
What is 322 minutes after 12:49 AM?
6:11 AM
What is 488 minutes before 10:04 PM?
1:56 PM
What is 176 minutes after 1:45 AM?
4:41 AM
How many minutes are there between 12:49 PM and 3:14 PM?
145
How many minutes are there between 9:24 PM and 8:42 AM?
678
How many minutes are there between 1:10 PM and 10:08 PM?
538
How many minutes are there between 6:54 PM and 12:22 AM?
328
How many minutes are there between 2:57 AM and 2:36 PM?
699
What is 702 minutes before 3:22 AM?
3:40 PM
How many minutes are there between 12:59 AM and 9:10 AM?
491
How many minutes are there between 8:40 PM and 11:25 PM?
165
How many minutes are there between 2:05 AM and 4:43 AM?
158
How many minutes are there between 8:20 PM and 6:40 AM?
620
What is 321 minutes after 5:59 AM?
11:20 AM
What is 488 minutes before 3:58 AM?
7:50 PM
How many minutes are there between 2:56 AM and 2:25 PM?
689
How many minutes are there between 3:12 AM and 2:37 PM?
685
How many minutes are there between 11:38 AM and 12:13 PM?
35
How many minutes are there between 11:51 PM and 2:57 AM?
186
What is 570 minutes before 3:31 AM?
6:01 PM
How many minutes are there between 2:36 AM and 1:54 PM?
678
How many minutes are there between 3:54 AM and 8:59 AM?
305
How many minutes are there between 7:57 AM and 11:55 AM?
238
What is 323 minutes after 12:37 PM?
6:00 PM
How many minutes are there between 12:47 AM and 4:01 AM?
194
What is 310 minutes after 4:55 AM?
10:05 AM
How many minutes are there between 8:12 AM and 5:11 PM?
539
What is 394 minutes before 11:12 PM?
4:38 PM
What is 444 minutes after 3:41 AM?
11:05 AM
What is 153 minutes after 6:53 AM?
9:26 AM
What is 578 minutes before 4:37 AM?
6:59 PM
What is 291 minutes after 2:35 AM?
7:26 AM
How many minutes are there between 3:00 PM and 7:13 PM?
253
How many minutes are there between 1:54 PM and 2:36 PM?
42
How many minutes are there between 4:07 AM and 3:23 PM?
676
What is 60 minutes after 7:31 AM?
8:31 AM
How many minutes are there between 9:56 AM and 2:59 PM?
303
What is 587 minutes before 11:31 AM?
1:44 AM
How many minutes are there between 5:49 PM and 12:43 AM?
414
What is 181 minutes before 5:31 PM?
2:30 PM
What is 337 minutes after 3:01 PM?
8:38 PM
What is 293 minutes after 12:47 AM?
5:40 AM
How many minutes are there between 5:05 PM and 6:49 PM?
104
What is 474 minutes before 7:33 AM?
11:39 PM
What is 549 minutes after 7:49 PM?
4:58 AM
What is 270 minutes after 3:42 AM?
8:12 AM
How many minutes are there between 2:40 PM and 2:17 AM?
697
What is 689 minutes after 7:04 PM?
6:33 AM
How many minutes are there between 3:17 PM and 11:09 PM?
472
How many minutes are there between 11:56 AM and 11:06 PM?
670
How many minutes are there between 4:14 AM and 6:22 AM?
128
What is 681 minutes after 4:22 PM?
3:43 AM
How many minutes are there between 11:00 AM and 10:37 PM?
697
How many minutes are there between 2:16 AM and 12:27 PM?
611
What is 643 minutes before 12:52 PM?
2:09 AM
What is 244 minutes before 11:13 PM?
7:09 PM
What is 40 minutes before 8:33 PM?
7:53 PM
How many minutes are there between 7:21 AM and 12:44 PM?
323
What is 444 minutes before 8:15 PM?
12:51 PM
How many minutes are there between 7:32 AM and 3:45 PM?
493
What is 331 minutes after 11:59 PM?
5:30 AM
How many minutes are there between 7:34 AM and 2:08 PM?
394
How many minutes are there between 2:21 PM and 3:50 PM?
89
How many minutes are there between 5:09 AM and 11:16 AM?
367
How many minutes are there between 2:51 AM and 1:43 PM?
652
How many minutes are there between 4:46 AM and 7:20 AM?
154
What is 181 minutes before 1:43 PM?
10:42 AM
How many minutes are there between 9:16 PM and 10:27 PM?
71
What is 341 minutes after 8:31 AM?
2:12 PM
What is 520 minutes after 11:56 PM?
8:36 AM
What is 141 minutes before 12:17 PM?
9:56 AM
How many minutes are there between 6:32 AM and 2:22 PM?
470
What is 89 minutes before 2:44 AM?
1:15 AM
What is 597 minutes before 5:32 PM?
7:35 AM
How many minutes are there between 4:18 PM and 2:09 AM?
591
How many minutes are there between 3:56 PM and 7:11 PM?
195
What is 36 minutes before 6:22 AM?
5:46 AM
What is 504 minutes after 3:23 AM?
11:47 AM
How many minutes are there between 7:09 AM and 4:26 PM?
557
What is 165 minutes before 7:17 AM?
4:32 AM
How many minutes are there between 7:18 AM and 3:43 PM?
505
What is 524 minutes before 10:59 PM?
2:15 PM
|
{
"pile_set_name": "DM Mathematics"
}
|
*w. What is the tens digit of q?
4
Let p(g) = 13393*g**2 - 642*g + 641. What is the thousands digit of p(1)?
3
Suppose -6*r + 8*r + t - 6406 = 0, 2*r - 6398 = -3*t. What is the tens digit of r?
0
Suppose 17*k + 837225 = 92*k. What is the tens digit of k?
6
Let z(v) = -4*v**2 + 2*v + 1. Let c be z(-3). Let n = c - 5. Let u = 85 + n. What is the units digit of u?
9
Let a(q) = q**3 + 10*q**2 - 7*q + 1. Let y be a(-11). Let x = y - -46. What is the tens digit of (-1)/(x + -2) - -30?
2
Let p(w) be the third derivative of w**4/24 + 37*w**3/6 + 18*w**2. What is the tens digit of p(-26)?
1
Let o be (2/(-4))/((-7)/14) + 2. Suppose o*f - 29 = -4*t, -3*t + f + 3 = -3*f. Suppose 756 = t*j - p, -452 = -3*j - 3*p + 2*p. What is the units digit of j?
1
Suppose -5*k + 114 = 3*s, -5*s + 2*s + 114 = -3*k. Suppose s = 3*v + 23. Suppose -20 = -m - 5*o + 81, -v*m - 3*o = -527. What is the tens digit of m?
0
Let s(f) = 2*f**3 + 2*f**2 + 8*f - 2. Suppose -6*t - 8 = -10*t. Suppose 0 = -4*w + t*h + 5 + 7, w - 5*h = 3. What is the tens digit of s(w)?
9
Let z(y) = -116 + 111 - 125*y + 46*y - 97*y. What is the units digit of z(-2)?
7
Suppose 3 = 3*j, -2*r = -j + 6*j + 19. Let t = r - -147. What is the tens digit of t?
3
What is the tens digit of (-7269574)/(-390) - (3/(90/(-122)) - -4)?
4
Suppose 532 = -g + h - 103, 5*h - 651 = g. Let j = -350 - g. What is the tens digit of j?
8
What is the tens digit of (-112)/(-144) + (-4)/(-18) - (27 - 838)?
1
Suppose -153*k + 948633 = -132*k. What is the hundreds digit of k?
1
Let o = 335 - 327. Suppose 2190 = -o*d + 7222. What is the units digit of d?
9
Suppose 12579 = 4*v + 4*b - 24849, -2*v + 5*b + 18700 = 0. What is the thousands digit of v?
9
Let m = 53 - 53. Suppose 11*f - 340 - 34 = m. Let j = f + -14. What is the units digit of j?
0
Suppose -12*h - 15 = -15*h. Suppose 154 + 126 = h*j. Let n = -43 + j. What is the units digit of n?
3
Suppose -614*t - 23116 = -619*t - m, 18506 = 4*t + 3*m. What is the tens digit of t?
2
Let w(l) = 908*l - 4422. What is the tens digit of w(34)?
5
Let g = -33912 + 57898. What is the hundreds digit of g?
9
Suppose 0 = -5*d - 40 + 50. Suppose -4*o + 1078 = -2*o + 2*v, o - d*v - 530 = 0. What is the tens digit of o?
3
Let y = 3501 + -1058. Suppose 4*c = -5*h + y, -3 + 8 = -h. What is the units digit of c?
7
What is the units digit of -3*((11815430/300)/(-11) + 1/10)?
1
Let z(k) = -405*k + 611. What is the tens digit of z(-22)?
2
Let y(p) = -p**2 + 9*p + 24. Let k be y(10). Let f = 29 - k. What is the tens digit of (-10)/f - (-406)/6?
6
Let m(i) = 320*i**2 + 33*i + 564. What is the units digit of m(-10)?
4
Suppose 18*l - 3504 = 276. Let s = l + 156. What is the tens digit of s?
6
Let i(b) = 3997*b**2 - 31*b - 1. What is the hundreds digit of i(2)?
9
Let d = 117668 - 83879. What is the units digit of d?
9
Let g(h) = -h**3 + 12*h**2 - 19*h + 12. Let y = 202 + -107. Let s = 102 - y. What is the units digit of g(s)?
4
Let z = 42 - 40. Suppose 0 = 8*n - 3*n + 5*o - 415, 5*o = z*n - 145. What is the units digit of n?
0
Suppose -49*i = 44*i - 40762 - 133799. What is the hundreds digit of i?
8
Let a be (1 + -2)*-1 - (1 + -2). Let z(s) = 21*s**2 - 11*s + 1. What is the tens digit of z(a)?
6
Let t = 43764 + 27870. What is the tens digit of t?
3
What is the units digit of (-1737944)/(-306) + 8/18?
0
Let s(f) = f**2 + 11*f - 22. Let o be s(2). Suppose -o*h + 2631 = m, -h + m = -4*m - 663. What is the tens digit of h?
5
Suppose -2321 - 47 = -16*s. Let p be (25/(-4))/((-5)/(-20)). Let w = s + p. What is the tens digit of w?
2
Let k(q) = q**3 + 14*q - 17. Let o(a) = -2*a**2 - 58*a + 9. Let u be o(-29). What is the hundreds digit of k(u)?
8
What is the units digit of (6/18 - (-4)/6) + 4465?
6
Let i = -1825 - -1920. What is the units digit of i?
5
Let d = -842 - 1215. Let q = -857 - d. What is the tens digit of q?
0
Suppose -10*x + 18 = -2. Suppose -1126 = -2*j - x*r, 5*r + 1161 = 3*j - 488. Let l = j - 394. What is the hundreds digit of l?
1
Suppose 5080*h = 5083*h - 24678. What is the thousands digit of h?
8
Suppose -12 = 10*f - 13*f. Suppose 3*t - 5*y = 4*t + 11, -5*y - 31 = -f*t. Suppose u - 45 = 5*l, -42 = -u - 2*l + t*l. What is the units digit of u?
0
Suppose 5*h - 755 = 5*b, -11*h + 629 = -7*h + b. What is the units digit of h?
6
Let t(f) = -f**3 - 2*f**2 - f. Let a be t(-2). Suppose 3*l - 895 = -a*b + 254, -4*b + 2301 = 5*l. What is the units digit of b?
9
Let x = 122315 + -76742. What is the units digit of x?
3
Let t(a) = -a**2 + 10*a - 2. Let d(w) = w**2. Let m be d(3). Let z be t(m). What is the units digit of 3/z - (-895)/35?
6
Let w(u) = -23*u - 1. Let d(x) = 1. Let r(v) = d(v) + w(v). Let h be r(-2). Let b =
|
{
"pile_set_name": "DM Mathematics"
}
|
4*l**2 + 2*l**2 as m*l + o + i*l**2 and give i.
12
Express (d - 2*d - d + (3 - 4 + 2)*(-2*d + d + 0*d))*(-16*d - d + 49*d) as h + s*d + a*d**2 and give a.
-96
Express (-1 - 1 + 1)*(2 - 2 - 2*p)*(-67*p**2 + 34*p**2 + 138 + 35*p**2) as w*p**3 + s + z*p + f*p**2 and give z.
276
Rearrange -88*g + 88*g + 41*g**2 to n + z*g + s*g**2 and give s.
41
Rearrange 1 - a**3 - 1 + (2 + 7*a + 9*a - 6*a)*(2*a**2 - 5*a**2 + 2*a**2) to s + d*a**2 + y*a + u*a**3 and give u.
-11
Rearrange -f**4 - 2*f**2 + 0*f**2 + 3 - 5*f**4 - 3*f**3 + 3*f**4 to i*f + x + j*f**2 + c*f**4 + k*f**3 and give i.
0
Express -15 + 37 + 2*v + 60 as t*v + f and give f.
82
Express -2*w**3 - 1 - 8*w**4 + w**3 - 1 + 0*w**3 as y*w**4 + r + d*w**2 + t*w + s*w**3 and give y.
-8
Express 5*m**3 + 0*m**3 + 2 - 17*m + m**2 + 15*m - 2*m**2 in the form v*m**2 + u*m + n*m**3 + t and give n.
5
Rearrange (0*m**3 + 3*m**3 - m**3)*(-24 - 9 + 21) to the form n*m + v*m**3 + w + p*m**2 and give v.
-24
Rearrange -3*h**2 - 3*h**3 + 404 - 406 + 2*h - h**3 + 3*h**3 to the form w*h + u + t*h**2 + p*h**3 and give w.
2
Rearrange -x - x - 7*x + x to h*x + i and give h.
-8
Express 10*c**2 - 2 + 2*c - 11*c**2 - c**4 + 0*c**4 + c**3 as s*c**2 + i*c**4 + r + j*c + o*c**3 and give j.
2
Express (-3*w + 4*w - 3*w)*(-1 + 5 - 2) + (-w + 2*w - 3*w)*(2 - 1 + 10)*(1 - 2 + 2) in the form n*w + f and give n.
-26
Rearrange (3*u + 0 - 4 - 4*u)*(-4*u**2 + 4*u - 4*u) to x*u + f*u**2 + v + o*u**3 and give o.
4
Express l**4 - 623 - 4*l**2 + l**3 + 609 + 0*l**4 as r*l**4 + w*l + h*l**3 + g*l**2 + n and give r.
1
Express 7 - 6*i**2 - i**3 - 4*i**3 + 5 - 13 as s + l*i**3 + k*i**2 + q*i and give s.
-1
Express 2*r**2 - r**3 - 7*r**2 - r**3 + 7*r**2 + 6*r**4 in the form p*r + t*r**3 + s*r**4 + v + q*r**2 and give t.
-2
Rearrange -39*j**3 + 125*j**3 - 44*j**3 - 40*j**3 + 10 - j**2 to the form q*j**2 + y*j**3 + r + t*j and give r.
10
Express 13*t**3 - 29*t**2 - 23*t**3 + 11*t**3 + t in the form x + u*t + k*t**3 + r*t**2 and give k.
1
Rearrange 68*y**2 + y**4 + y**4 - 71*y**2 - 3 - 3*y to j*y + c + n*y**3 + o*y**2 + i*y**4 and give o.
-3
Rearrange (-7 + 6 - 48)*(1 - 1 + 1)*(0 + 0 + 2*x**4) to the form c*x**2 + n*x**3 + u*x**4 + z*x + o and give u.
-98
Express 18 - 35 + 17 + 26*x in the form k + y*x and give y.
26
Rearrange -11*u**2 - 1602*u + 1602*u - 2*u**3 to i*u**3 + r*u**2 + a + c*u and give r.
-11
Rearrange -6*p**2 + p**2 - 15*p**2 to the form c + o*p**2 + d*p and give c.
0
Express 1 - 1 + o - 2*o**2 + o - o**2 - o + (5*o**2 - 2*o + 2*o)*(-4 + 4 + 2) in the form b*o + w*o**2 + h and give b.
1
Rearrange 11*s**2 + 2*s**2 - 13*s - 11*s**2 to the form m*s**2 + n*s + y and give m.
2
Rearrange -30*f**2 + 10*f**2 + 11*f**2 + 2 - 3*f + 2*f**3 + 7*f**2 to d*f + a*f**3 + b*f**2 + j and give d.
-3
Express 5*x + x - 4*x + x**2 + 0*x - x**3 as g*x**3 + s*x + f + u*x**2 and give u.
1
Rearrange 4*g**2 - 2 + 2 + 9*g**2 to the form l*g + i*g**2 + c and give i.
13
Rearrange 14 - 2*c - 16 - 19*c to the form s + t*c and give s.
-2
Rearrange -12*v**2 + 15*v**2 + 4*v**2 - 36*v**2 to n*v**2 + t*v + h and give n.
-29
Express (-2*t + 2*t + t)*(0*t - 3*t**3 + t**3 + t) in the form w*t**3 + g*t + b + n*t**4 + c*t**2 and give n.
-2
Rearrange -34 - 2*l**2 + 4*l + 34 to the form c + p*l + z*l**2 and give z.
-2
Rearrange (-24 + u - 27 + 33)*(-4*u**3 + 3*u**3 + 2*u**3) to m + j*u**4 + x*u**3 + y*u + i*u**2 and give j.
1
Rearrange -2 - 2*x**2 + 2 + (60 + 37*x**2 - 60)*(1 + 0 + 0) to the form i*x**2 + o + h*x and give i.
35
Rearrange (-2 + 2 - 4)*(2*n + 4*n - 3*n) - 9*n - 35 + 35 to the form q*n + o and give q.
-21
Rearrange (-k + 0*k + 0*k)*(-3 + 0 + 1)*(0 + 3 - 2) to u*k + b and give b.
0
Rearrange 0 - 5 - 27*n + 5 to the form p + a*n and give a.
-27
Rearrange 3*u**2 + 7*u**2 - 21*u**2 - 20*u**2 to d*u + p + n*u**2 and give d.
0
Express 4*a**4 + 21*a**3 - 19*a**3 - 8*a**3 - 1 - 2*a**3 in the form g*a + d*a**4 + y + i*a**3 + n*a**2 and give i.
-8
Express (-2*q - 3 + 3 + (5*q - 4*
|
{
"pile_set_name": "DM Mathematics"
}
|
5, 510, 459?
-t**3 - t**2 + 19*t + 514
What is the g'th term of -83, -120, -157, -194?
-37*g - 46
What is the t'th term of 241, 950, 2133, 3790?
237*t**2 - 2*t + 6
What is the d'th term of -442, -447, -444, -427, -390, -327, -232?
d**3 - 2*d**2 - 6*d - 435
What is the p'th term of -224, -459, -702, -953, -1212, -1479?
-4*p**2 - 223*p + 3
What is the t'th term of 110, 204, 296, 386?
-t**2 + 97*t + 14
What is the q'th term of 27, 48, 59, 54, 27, -28?
-q**3 + q**2 + 25*q + 2
What is the s'th term of 158, 164, 174, 188, 206?
2*s**2 + 156
What is the t'th term of 341, 337, 331, 323, 313, 301?
-t**2 - t + 343
What is the t'th term of 24, 28, 32, 36, 40, 44?
4*t + 20
What is the q'th term of -424, -848, -1270, -1690, -2108, -2524?
q**2 - 427*q + 2
What is the c'th term of 13, 14, 15, 16, 17, 18?
c + 12
What is the h'th term of -29, -67, -131, -221, -337, -479, -647?
-13*h**2 + h - 17
What is the d'th term of -93, -88, -75, -48, -1?
d**3 - 2*d**2 + 4*d - 96
What is the z'th term of -37856, -37855, -37854?
z - 37857
What is the y'th term of -57, -119, -193, -285, -401, -547, -729?
-y**3 - 55*y - 1
What is the h'th term of 6, 17, 26, 33, 38?
-h**2 + 14*h - 7
What is the v'th term of 32, 76, 118, 158, 196, 232?
-v**2 + 47*v - 14
What is the p'th term of -10, -5, 0, 5, 10, 15?
5*p - 15
What is the z'th term of -10, -18, -44, -94, -174, -290, -448, -654?
-z**3 - 3*z**2 + 8*z - 14
What is the n'th term of -29, -70, -135, -236, -385, -594, -875, -1240?
-2*n**3 - 27*n
What is the i'th term of 13794, 27590, 41386, 55182?
13796*i - 2
What is the o'th term of -118, -117, -114, -109, -102?
o**2 - 2*o - 117
What is the d'th term of 165, 316, 467, 618, 769?
151*d + 14
What is the s'th term of -2, 8, 20, 34?
s**2 + 7*s - 10
What is the o'th term of 12, 12, 14, 18?
o**2 - 3*o + 14
What is the s'th term of -106, -129, -186, -289, -450, -681?
-2*s**3 - 5*s**2 + 6*s - 105
What is the z'th term of -35, -56, -67, -68, -59?
5*z**2 - 36*z - 4
What is the u'th term of 26, 104, 236, 422, 662?
27*u**2 - 3*u + 2
What is the q'th term of -25, -42, -71, -112, -165?
-6*q**2 + q - 20
What is the a'th term of -218, -443, -670, -899, -1130?
-a**2 - 222*a + 5
What is the m'th term of 133, 65, 7, -35, -55?
m**3 - m**2 - 72*m + 205
What is the m'th term of 11, 24, 37, 50, 63, 76?
13*m - 2
What is the s'th term of 169, 672, 1511, 2686, 4197?
168*s**2 - s + 2
What is the k'th term of 325, 646, 965, 1282, 1597, 1910, 2221?
-k**2 + 324*k + 2
What is the h'th term of -2, -6, -10, -14, -18?
-4*h + 2
What is the k'th term of -1757, -3510, -5259, -7004, -8745, -10482, -12215?
2*k**2 - 1759*k
What is the y'th term of -21, -130, -311, -564, -889, -1286?
-36*y**2 - y + 16
What is the v'th term of -163, -182, -227, -310, -443?
-2*v**3 - v**2 - 2*v - 158
What is the o'th term of -30, -122, -276, -492, -770, -1110?
-31*o**2 + o
What is the v'th term of -15762, -15761, -15760, -15759?
v - 15763
What is the f'th term of -469, -474, -481, -490, -501, -514, -529?
-f**2 - 2*f - 466
What is the t'th term of -120, -238, -356, -474, -592?
-118*t - 2
What is the t'th term of -31133, -62267, -93401?
-31134*t + 1
What is the u'th term of 18, 11, -4, -33, -82?
-u**3 + 2*u**2 - 6*u + 23
What is the w'th term of 89, 88, 85, 80?
-w**2 + 2*w + 88
What is the l'th term of 283, 559, 837, 1117, 1399, 1683, 1969?
l**2 + 273*l + 9
What is the t'th term of -28, -38, -62, -106, -176, -278?
-t**3 - t**2 - 26
What is the v'th term of 39, 52, 65, 78?
13*v + 26
What is the f'th term of -211, -431, -649, -865?
f**2 - 223*f + 11
What is the h'th term of -18, -79, -220, -477, -886, -1483, -2304, -3385?
-6*h**3 - 4*h**2 - 7*h - 1
What is the n'th term of -718, -717, -716, -715, -714?
n - 719
What is the t'th term of -19, -37, -69, -121, -199, -309, -457, -649?
-t**3 - t**2 - 8*t - 9
What is the o'th term of -481, -482, -483, -484, -485, -486?
-o - 480
What is the f'th term of 3, 27, 51, 75?
24*f - 21
What is the x'th term of 399, 801, 1205, 1611, 2019, 2429, 2841?
x**2 + 399*x - 1
What is the y'th term of -112, -241, -358, -457, -532, -577?
y**3 - 136*y + 23
What is the v'th term of -6499, -6498, -6497?
v - 6500
What is the l'th term of -60, -55, -56, -69, -100, -155?
-l**3 + 3*l**2 + 3*l - 65
What is the d'th term of -28
|
{
"pile_set_name": "DM Mathematics"
}
|
1410*z + 11414*z.
-z
Collect the terms in 657*l**2 + 4*l**3 - 657*l**2.
4*l**3
Collect the terms in 20*o**2 + 36*o**2 - 6*o**2.
50*o**2
Collect the terms in -14*m**3 + 15*m**3 - m**2 - 12*m**2.
m**3 - 13*m**2
Collect the terms in -15215 + 15215 - 4*t + 3*t.
-t
Collect the terms in 83*m**3 + 66*m**3 - 151*m**3.
-2*m**3
Collect the terms in -469*o**3 + o**2 - o**2 + 135*o**3.
-334*o**3
Collect the terms in -62*p + 26*p + 19*p + 16*p.
-p
Collect the terms in -56*f**2 - 8*f**2 - 3*f**2.
-67*f**2
Collect the terms in 18*n - 9*n - 9*n - n**2.
-n**2
Collect the terms in 9*m**2 - 21*m**3 - 9*m**2.
-21*m**3
Collect the terms in t**3 + 57*t**2 - 114*t**2 + 57*t**2 + 6.
t**3 + 6
Collect the terms in 7*h + 27*h - 20*h.
14*h
Collect the terms in 0*l - 226 + 2*l + 226.
2*l
Collect the terms in -91*k - 15*k**3 + 91*k.
-15*k**3
Collect the terms in 0*s**2 + 58*s - 58*s - 4*s**2.
-4*s**2
Collect the terms in 7*b**2 + 16*b**2 - b**2.
22*b**2
Collect the terms in 15 - 21 + 2*c**2 + 6.
2*c**2
Collect the terms in -22*z**3 - 20*z**3 - 9*z**3.
-51*z**3
Collect the terms in 20*z + 8*z - 9*z - 2 + 7*z.
26*z - 2
Collect the terms in 115*j**2 + 128*j**2 + j - j - 218*j**2.
25*j**2
Collect the terms in 510*a - 510*a + 2*a**3.
2*a**3
Collect the terms in -2 - 2205*i**2 + 1 + 2208*i**2 + 1.
3*i**2
Collect the terms in -28 + 8*t + 28.
8*t
Collect the terms in -5*d**2 - 9*d**2 + 30*d**3 + 13*d**2.
30*d**3 - d**2
Collect the terms in -21813*h**2 + 21813*h**2 - 5*h**3 + h**3 - 3*h**3.
-7*h**3
Collect the terms in -5*x**2 + x**2 - 8*x**2.
-12*x**2
Collect the terms in 709*y**2 + 709*y**2 - 1419*y**2.
-y**2
Collect the terms in 55*y**3 + 49*y**3 + 19*y**3.
123*y**3
Collect the terms in -7*r + 22*r - 15*r + 4*r**2.
4*r**2
Collect the terms in 411*k**2 - 825*k**2 + 419*k**2.
5*k**2
Collect the terms in 15*d - 14*d - 36 + 36.
d
Collect the terms in -4*i**2 - 92 + 92 - 86*i + 86*i.
-4*i**2
Collect the terms in 9*w**3 - 11*w**3 + 9*w**3.
7*w**3
Collect the terms in 40*o**2 - 432*o - 4*o**2 + 432*o.
36*o**2
Collect the terms in 1 + 7 - 8 + 293*x.
293*x
Collect the terms in 185*q + 4 + 2 - 6 - 186*q.
-q
Collect the terms in -18*n**3 - 3517*n + 3517*n.
-18*n**3
Collect the terms in -5*i + 10*i - 4*i - 48*i**2.
-48*i**2 + i
Collect the terms in 9*v**3 + 73*v - 73*v - 8*v**3.
v**3
Collect the terms in i**2 - i**2 + 90*i**3 - 94*i**3.
-4*i**3
Collect the terms in 2*z**2 - 38*z - 34*z + 5*z.
2*z**2 - 67*z
Collect the terms in 126*w**2 - 258*w**2 + 125*w**2.
-7*w**2
Collect the terms in 21*c + 12*c + 12*c - 27*c.
18*c
Collect the terms in 4 - 5 + 3*t**3 - 2.
3*t**3 - 3
Collect the terms in -19 - 25*v + 1 - 49*v.
-74*v - 18
Collect the terms in -5*g + 900 - 900.
-5*g
Collect the terms in -2*h + 23*h + 8*h.
29*h
Collect the terms in 27*l - 79*l + 30*l + 25*l.
3*l
Collect the terms in -24*q + 7*q - 11*q.
-28*q
Collect the terms in 0*l + l - 13*l.
-12*l
Collect the terms in -5*u**3 + 2*u**3 - u**3 + 2*u**3.
-2*u**3
Collect the terms in -12*k**2 - 7*k**2 + 14*k**2.
-5*k**2
Collect the terms in -2*y**2 - 6*y + 0*y - 7*y.
-2*y**2 - 13*y
Collect the terms in -29*k**3 + 11*k**3 + 10*k**3.
-8*k**3
Collect the terms in 52*v**3 - 47*v**3 - 6*v**3.
-v**3
Collect the terms in -7*o + 4*o + 4*o + o.
2*o
Collect the terms in 7*r - 5 + 1 - 12*r**3 + 4.
-12*r**3 + 7*r
Collect the terms in -3*w - 3*w + 8*w.
2*w
Collect the terms in 0*i**2 - i**2 - 177 - 2*i**2.
-3*i**2 - 177
Collect the terms in 0*t - 5*t - 3*t.
-8*t
Collect the terms in -307*p**3 - 729*p**3 - 3696*p**3.
-4732*p**3
Collect the terms in 4 - 50*m + 36*m**3 + 29*m + 21*m.
36*m**3 + 4
Collect the terms in 31*k - 31*k + 19*k**3.
19*k**3
Collect the terms in 24*q - 42*q + 22*q.
4*q
Collect the terms in -13*u**3 + 14*u**3 + 13*u**3 - 6*u**3.
8*u**3
Collect the terms in -33656*u + 33656*u - u**3.
-u**3
Collect the terms in 71 - 144 - t + 68.
-t - 5
Collect the terms in -36 + 9 + 3 - 25 - i.
-i - 49
Collect the terms in 59*f**3 + 61*f**3 - 122*f**3.
-2*f**3
Collect the terms in -50*u**3 + 14*u**3 + 16*u**3 + 15*u**3.
-5*u**3
Collect the terms in 8 - 23 + y + 16.
y + 1
Collect the terms in -4*n - 4*n - 3*n - 10*n.
-21*n
Collect the terms in -290*b**3 + 297*b**
|
{
"pile_set_name": "DM Mathematics"
}
|
y = h - f. Round y to six decimal places.
0.000003
Let a be 23/4 - (-4)/16. Suppose -4*h = -2*k - 12, -h - 3*h = k - a. Let j be 18800006/h + 3/(-1). What is j rounded to the nearest 1000000?
9000000
Let j be 1 - 0/(-1) - -1. Suppose -5*s - j = -12. Suppose s*d + 90000 = -d. Round d to the nearest 10000.
-30000
Let q(g) = -g**3 + g. Let b be q(0). Round b to seven dps.
0
Let t = -10 + 19. Let r = -8.9999 + t. Round r to 5 dps.
0.0001
Let k be 4/(-1 - 6/(-4)). Let y be 2/k - 11526/24. What is y rounded to the nearest 100?
-500
Let h = 103.9999941 + -104. Round h to six decimal places.
-0.000006
Let i = -6.406 - -0.006. Round i to zero dps.
-6
Let r = 21 - 12. Let v = -16 + r. Let w be 7279998/v + 6/(-21). What is w rounded to the nearest one hundred thousand?
-1000000
Let h be 12/7 - (-8)/28. Suppose h*c = 7*c - 14000. Round c to the nearest one thousand.
3000
Let p = -0.12 + -0.03. Let x = 0.14995 + p. What is x rounded to 5 decimal places?
-0.00005
Let j = 3 - -20. Let b = j - 22.99991. Round b to four decimal places.
0.0001
Let u = 0.276 - 2.606. Round u to 1 decimal place.
-2.3
Let j be 1 + (-4 - -2) + -9599. Round j to the nearest one thousand.
-10000
Let f = 17 - 12. Suppose 0 = -f*v - 0*v + 3350000. Round v to the nearest 100000.
700000
Let o = 18430941 - 18430941.27000049. Let l = 0.27 + o. Round l to seven decimal places.
-0.0000005
Let c = 0.03247 + -28.09747. Let q = c - -28. Round q to 2 decimal places.
-0.07
Let p(y) = -y**3 - 12*y**2 + 9*y - 6. Let x be p(-13). Round x to the nearest ten.
50
Suppose -m = -5*m - z + 5, 3*m = -2*z. Let f be m - (-3 + -5293) - -2. Round f to the nearest 1000.
5000
Let g be 6/(4 - (-15)/(-6)). Let w be g/(-14) + (-602020)/(-70). Round w to the nearest 1000.
9000
Let v = 4 - 4. Let a(n) be the first derivative of -n**3/3 - n**2/2 + 12000*n - 1. Let r be a(v). Round r to the nearest ten thousand.
10000
Let u = -25 + 25.18. Round u to 1 decimal place.
0.2
Suppose -6*j = -929 - 1315. What is j rounded to the nearest 100?
400
Let w = 6 + -8. Let p = -34583.9999 + 34586. Let r = p + w. Round r to 4 dps.
0.0001
Let x = 122062.81432614 + 1.53467386. Let m = x + -121869.349119. Let a = -195 + m. Round a to 5 decimal places.
-0.00012
Let p = -0.5005 - -0.5. Round p to four decimal places.
-0.0005
Suppose 3*o - 46064 + 8849 = 0. Suppose 2*m - 9 = 5*i, 0*i + 8 = 5*m + 2*i. Suppose 4*t - l = -o, m*l = 4*t - l + 12415. Round t to the nearest one thousand.
-3000
Suppose d = 8 + 1. Let o = -4 + d. Suppose o*f = 4*t - 26005, 2*t + 2*f = -2*f + 12996. What is t rounded to the nearest 1000?
7000
Let r = 0.6 - 0.3. Let p = -0.30000024 + r. Round p to 7 decimal places.
-0.0000002
Let a = -0.048 - -0.193. Let k = 0.13 + a. What is k rounded to two decimal places?
0.28
Let q be 2/(-8) + 509122/8. Let w = q + -32640. Round w to the nearest 10000.
30000
Let g = -637892.9906 - -637839. Let c = g - -54. What is c rounded to three dps?
0.009
Let c be ((-128)/6)/(4/(-69750)*-3). What is c rounded to the nearest 10000?
-120000
Let f = 2.939 + -3. Let q = -0.0643 - f. What is q rounded to 3 dps?
-0.003
Let o = 54.00006 + -54. What is o rounded to five decimal places?
0.00006
Let u be (-141)/(-27) - (-4)/(-18). Suppose 2*y + w = u*y + 27599, -4*y + 4*w - 36796 = 0. Round y to the nearest one thousand.
-9000
Let m = -83614.9966 + 83646. Let q = m - 31. Round q to 3 dps.
0.003
Let v = -100.4 + 100.41026. Let k = v - 0.01. What is k rounded to four decimal places?
0.0003
Let b = 25.51 - 28.2. Let i = b + 2. What is i rounded to one dp?
-0.7
Let a = -11956762 - -6536762. What is a rounded to the nearest one million?
-5000000
Let v = 8 + -7. Let f be (v*-304)/((-3)/375). What is f rounded to the nearest 10000?
40000
Let p = -31.999899 - -32. What is p rounded to five dps?
0.0001
Suppose -2*t = -0*t + 2*k - 19399994, 5*k + 29100015 = 3*t. What is t rounded to the nearest 1000000?
10000000
Let a = 1 + 2. Suppose 644 = u - 4*p, -4*u + a*u - 2*p = -674. Suppose 3*f = f - v - u, 16 = -4*v. What is f rounded to the nearest one hundred?
-300
Let y(a) be the second derivative of a - 5*a**2 + 10/3*a**3 + 0. Let r be y(7). Round r to the nearest 10.
130
Suppose -2 = q, -3*q - 3102332 = -2*b + 877670. Suppose r + 3*k = 2*k - b, r = 5*k - 1990010. Round r to the nearest one hundred thousand.
-2000000
Let w be -3 - (2 + (-1 - 1600004)). Suppose 0*t - t = w. Round t to the nearest 1000000.
-2000000
Let t(m) = -56*m - 4. Let x be t(-4). Suppose u = 6*u + x. What is u rounded to the nearest ten?
-40
Let a = 22347141 + -36233428. Suppose 5*v + 2*s = 106431437, -v = s - 6*s - 21286282. Let h = a + v. What is h rounded to the nearest 1000000?
7000000
Let t = 13 - 13.0045. Round t to 3 decimal places.
-0.005
Suppose 6 = 2*r + 4*f, 2*r + 2*f + 0*f = 6. Suppose -85 = r*i - 13. Round i to the nearest 10.
-20
Let z = 10.8749269 + 0.1254531. Let s = 12.3 - 1.3. Let p = s - z. Round p to four decimal places.
-0.0004
Let z = 107.6 - 69. Let j = z + -38.5999807. What is j rounded to 6 dps?
0.000019
Let f = 74 - 74.0000135. What is f rounded to six dps?
-
|
{
"pile_set_name": "DM Mathematics"
}
|
4
Solve 3*o - g + 10 = 5*o, -3*o - 7 = -4*g for o.
3
Solve -4*q + 8*h + 32 = 3*h, 5*q = -2*h + 7 for q.
3
Solve l - 8 = -3*i - 0*i, -4*l + 11 = 5*i for l.
-1
Solve -313*k + 308*k = 5*y + 35, 0 = -5*y - 20 for k.
-3
Solve -2*h = -p - 5*h + 11, -3*p + 5*h - 9 = 0 for p.
2
Solve 2*w = 2*o - 4, 7 = 46*w - 48*w + o for w.
-5
Solve 9*n + 3*i - 6 = 5*n, 0 = 5*n + 5*i - 5 for n.
3
Solve 3*m - 6*u + 10*u = 10, 2 = -m + 4*u for m.
2
Solve -4*o = -2*p + 8, o - 12 = -3*o - 3*p for o.
0
Solve 3*z - 8 = 5*n + 17, z - 4*n = 20 for z.
0
Solve -4*b + i = 1, -3*b + 23 = 6*i - 2*i for b.
1
Solve 4*f = 0, -20*f + 23*f = q + 5 for q.
-5
Solve 2*y + 3*i - 9 = 0, 155*y + 35 = 150*y + 4*i for y.
-3
Solve 27*g - 30*g = 5*u + 17, 4*u + 16 = -3*g for u.
-1
Solve 41*u = 36*u + 5, w = -5*u + 6 for w.
1
Solve 0 = -2*n + 48 - 56, -2*n = -5*s - 7 for s.
-3
Solve -l + 21 = 5*a, 5*l + 31 + 14 = 5*a for a.
5
Solve 2*x - 7 = -u - 1, 0 = -u - 2 for x.
4
Solve 0 = 2*f - 3*c - 22, -5*c + 3 = 3*f - 2*c for f.
5
Solve 0 = -5*g - 2*j + 2 + 6, -g - 3 = 5*j for g.
2
Solve 2*x - d + 1 = 0, 1 + 4 = 2*x + 5*d for x.
0
Solve -q - b - 223 + 220 = 0, b + 3 = -3*q for q.
0
Solve 10 = -3*q - 2*a, 2*a = -4*q - 207 + 193 for q.
-4
Solve 3*p = 5*t + 11 - 0, 32 = -5*t - 4*p for t.
-4
Solve 26*a + 10 = 21*a + 3*y, a + 2*y + 15 = 0 for a.
-5
Solve 5*x - 2*b + b = 15, 0 = 5*x - 5*b - 35 for x.
2
Solve -y = 2*d + 5, y + 2*d = -2*d - 11 for y.
1
Solve -5*d - 3 = q + 14, 3*q - d + 3 = 0 for q.
-2
Solve -4*z - 2*u + 2 = 0, -5*u + 2 = -5*z + 27 for z.
2
Solve -z + 17 - 3 = 4*j, -5*j + 26 = -3*z for z.
-2
Solve 2*j + 2*r + 11 = -3*r, 0 = 4*r + 4 for j.
-3
Solve 0 = -4*y + a + 12, -2*y - 6 = -4*y + a for y.
3
Solve -15 = 4*j - 13*x + 10*x, 2*j - 3*x = -15 for j.
0
Solve j + 4 = 0, 4*f - 4*j - 16 = f for f.
0
Solve -7 + 9 = -2*k + 2*o, -25 = -5*o for k.
4
Solve -2*d - 1 = 3*p, -3*p + 24 = 9*d - 12*d for p.
3
Solve -34 = -k + 5*u, -35*k + 32*k - 12 = 4*u for k.
4
Solve 7 = 5*s + 4*d + 2, 0 = -3*s + 5*d + 40 for s.
5
Solve 0 = q - 1, -5*o + q = -q - 18 for o.
4
Solve f = 4*q + 6 - 3, q = 2*f + 1 for q.
-1
Solve -8 = -4*n + 2*n + q, -2*n + 3*q = -16 for n.
2
Solve g + 8 = n + 2*g, n - 5*g + 16 = 0 for n.
4
Solve -4*j + 5 = -3*i, 2*i - 5 = -4*j + 5 for j.
2
Solve 3*g - 5*g = -a + 7, -g = 4 for a.
-1
Solve 5*p - 4*p = 4*k + 10, -p + 3*k = -7 for p.
-2
Solve 4*x = 115*t - 120*t - 19, -2*t - 2*x = 8 for t.
-3
Solve -2*p - 56*v + 59*v - 22 = 0, -2*v + 23 = -3*p for p.
-5
Solve 0 = j - 8*g + 4*g + 4, 3*j + 12 = 3*g for j.
-4
Solve 5*g + 6 = -7*l + 4*l, -5*l + 3*g - 10 = 0 for l.
-2
Solve -3*q + 3*w = 1 - 16, -5*q + w = -5 for q.
0
Solve -4*p - 16 = -m + 8, -3*p + 2*m = 23 for p.
-5
Solve 55 - 51 = 2*k + 5*c, 4*k - 4*c + 20 = 0 for k.
-3
Solve -5*x + 2*c = 25, 27 = x - 5*x + 3*c for x.
-3
Solve 0 = -3*p + 3*j - 9, -6*p - 5*j = -p - 35 for p.
2
Solve -4*v - 2 = -5*x + 25, -2*x + 4*v = -18 for x.
3
Solve -2*q = -h - 15, q - 2*q + h + 10 = 0 for q.
5
Solve 5*w - w = 5*t - 10, 2*t = -w - 9 for t.
-2
Solve -12 + 4 = a + o, 3*o = 3*a for a.
-4
Solve -5*d - 3*u - 37 = 0, -3*d - 3 = 9*u - 12*u for d.
-5
Solve -5*q = -4*j - 0 + 6, 0 = j + 3*q - 10 for j.
4
Solve -u - 4*a = -5*u - 20, u - 11 = -3*a for u.
-1
Solve -2*j - 3*r + 64 = 61, 15 = -3*j + 2*r for j.
-3
Solve 5*n = 4*g + 4, 22*g = 26*g + n - 20 for g.
4
Solve -2*v + 4 = -2*f, 0 = 4*f - 0*f + 5*v - 37 for f.
3
Solve -3*h - 27 = 2*k, 16*k = 5*h + 11*k - 5 for h.
-5
Solve 2*q = 13 + 1, -50 = 5*i - 5*q for i.
-3
Solve -4*a = 6*i - 2*i + 24, -10 = 5*i for a.
-4
Solve -9*i - 4*n = -32, -38 = -4*i + 2*n - 20 for i.
4
Solve 5*z + 23 = -o, -106*o = -111*
|
{
"pile_set_name": "DM Mathematics"
}
|
Give q(t).
1
Let r(u) = -u**2 - 6*u - 1. Let a(g) = 2*g**2 - 14*g + 6. Let i be a(6). Calculate r(i).
-1
Let i(f) = -f**2. Suppose 5*n = 5*p + 10, -5 = -4*p - 1. Let q be 5/(-3)*(n + -6). Suppose -k + 6 = q. Give i(k).
-1
Let v(q) be the first derivative of -q**3/3 + q**2/2 + q - 1. Let c(y) = -6*y**2 + 9*y + 5. Let w(x) = -c(x) + 5*v(x). Give w(3).
-3
Suppose -4*u + 7 = -3*q, 21*u - 18*u = q - 1. Let b(v) = -v - 6. Give b(q).
-1
Suppose -5*n + 0*n = -5. Let y(u) = 3*u. Give y(n).
3
Let k(d) = 1 - d + 254*d**2 + 2*d - 255*d**2. Calculate k(0).
1
Let m(r) = -r - 3. Let h(f) = f**2 + 2*f - 6. Let g be h(-4). Suppose g*x = 7*x + 25. Calculate m(x).
2
Let x(r) be the third derivative of r**6/120 + 3*r**5/20 + r**3 - 4*r**2. What is x(-9)?
6
Let d(h) = -5*h - 1. Let i = 31 + -19. Suppose -5*c + 4*v = v + i, -2*v = -c - 1. What is d(c)?
14
Let m(b) = -b + 2 - 6 + 1. Suppose 2*y + 3*a = -27, y + 9*a = 6*a - 21. Calculate m(y).
3
Let o(y) be the third derivative of y**5/60 - y**4/6 + y**3 - 12*y**2. Calculate o(5).
11
Let l(k) be the first derivative of k**2 + 3*k + 12. Determine l(-4).
-5
Let g(q) be the first derivative of -13*q**3/3 - q + 9. Calculate g(-1).
-14
Let r(n) = n**2 - 2 - 9*n + 10*n + n**2. Give r(-3).
13
Let y(q) = -q + 1. Suppose -4*z + 8 = -8*z. Calculate y(z).
3
Suppose -4*l - 24 = u + l, 0 = -4*u - 4*l - 16. Let d be u + 1*(-2 + -3). Let h(m) = m**3 + 3*m**2 - 2*m + 2. Determine h(d).
-6
Let a = 6 + 2. Let d(i) = -a + 5*i - i**2 + 2*i**2 + 9. Calculate d(-5).
1
Let h(p) = 2*p**3 - 17*p**2 + 2*p. Let a(u) = u**3 - 9*u**2 + u. Let m(w) = -5*a(w) + 3*h(w). Determine m(6).
6
Let b(c) = c**3 + 2*c + 4. Let r be b(0). Let s(f) = -f**2 + 5*f - 6. Calculate s(r).
-2
Let x(h) be the second derivative of -h**5/60 - h**4/12 + h**3/2 - h. Let j(m) be the second derivative of x(m). Calculate j(-2).
2
Let k(n) = n**3 + 1. Let b(c) = -c**2 - 3*c. Let z be b(-3). Suppose z = -2*p + 4*p. Determine k(p).
1
Let x(o) = 6*o. Let m(d) = -2*d**2 + d. Suppose -u - u = -8. Suppose -1 - 3 = -u*c. Let y be m(c). Calculate x(y).
-6
Let v be (-16)/(-6)*(-6)/(-4). Suppose 3*q + 3*m = -0*m + 12, -q - 2*m = -v. Let b(s) = s**2 - 4*s + 1. What is b(q)?
1
Let p(x) = x - 2. Let a be p(7). Let f(s) = 0*s**2 + s - 7 + a*s - s**2 + 1. Determine f(4).
2
Let o(g) = -g**3 + g**2 - g + 1. Let p(s) = -5*s**3 + 7*s**2 - 3*s + 3. Suppose -2*i - 6 = -4*i. Let c = 4 - i. Let x(z) = c*p(z) - 4*o(z). What is x(3)?
2
Let w(p) be the third derivative of p**6/120 - p**5/20 - p**4/24 + 2*p**3/3 - p**2. Let m(z) = -z**2 + 6*z - 5. Let h be m(4). What is w(h)?
1
Let q(h) = -h + 2. Let t(x) = x**2 - 6*x - 6. Let m(y) = 4*y**2 - 24*y - 25. Let c(b) = -2*m(b) + 9*t(b). Let a be c(7). Let l = a - -2. Give q(l).
-3
Let r(f) = -f + 5. Suppose 5*v + 15 = 4*u, 4*u + 9 = 5*u - 3*v. Let s be r(u). Let t(y) = 2*y - 4. Determine t(s).
6
Let c(y) = y**3 + 3*y**2 - 5*y + 1. Suppose -5*g - 4 = -9. Let q = g - 5. Give c(q).
5
Let d(i) = i**3 + 10*i**2 - i - 10. Suppose t = -2, -3*t - t + 22 = -3*s. What is d(s)?
0
Let v(j) = -j**2 + 5*j + 4. Let q(f) = f**2 - 7*f + 6. Let u be q(7). Let t = u - 1. Calculate v(t).
4
Let f(s) be the first derivative of -s**2 + 11*s + 46. Calculate f(5).
1
Let u(i) = -3*i + 15. Let z be u(5). Let b(y) = -y + 1. Determine b(z).
1
Let s(r) = 5*r**2 - 4*r + 2. Let k(d) = 6*d**2 - 3*d + 2. Let u(n) = -4*k(n) + 5*s(n). What is u(6)?
-10
Let t(h) be the first derivative of h**4/4 + h**3 - h**2/2 - 3*h - 1. Let o be t(-3). Let p(k) = -2 + 2*k + o*k**2 + k**2 + 3. What is p(-1)?
0
Let y be (-4)/(-1)*(0 + 2). Suppose 0 = -4*l - 4*j - y, 4*j + 9 = 4*l - 15. Let t be 2*2*1/l. Let r(v) = -v. Determine r(t).
-2
Let r(w) = 8*w + w**2 + 2 - 5*w + 2*w. Suppose 5*k - 15 + 3 = -y, -y = -2. Suppose -3*o + 5*o - 5*t = 12, -k*t = o + 12. Calculate r(o).
-2
Let r(x) = -x**2 + 11*x - 14. Let o be r(10). Let w = o + 1. Let b(u) = -u**2 - 4*u - 2. Give b(w).
1
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
1021101001102112?
-21021101001102121
In base 16, what is -219d - -26a?
-1f33
In base 10, what is 6 - 641520?
-641514
In base 11, what is -32 + -5523a?
-55271
In base 2, what is 101011101111 - 10111110110111?
-10010011001000
In base 13, what is 284 - 10196?
-cc12
In base 2, what is -100 - -1111011010100000111?
1111011010100000011
In base 2, what is 10000111100101000101110010111 + 101?
10000111100101000101110011100
In base 2, what is -100 - 11110010000001000100010001?
-11110010000001000100010101
In base 15, what is 35ccd + -7a?
35c53
In base 14, what is -750 - -176?
-5b8
In base 5, what is -230 - 4413301?
-4414031
In base 14, what is -13 - 419dda?
-41a00d
In base 2, what is 110 + 110000110000101100111?
110000110000101101101
In base 4, what is -11221302311 + 21?
-11221302230
In base 12, what is -4 + 1b7704?
1b7700
In base 10, what is 36205605 - -5?
36205610
In base 3, what is 122121020 - 1222222100?
-1100101010
In base 16, what is 3 + d2e7ec?
d2e7ef
In base 11, what is 809 + 19088?
19896
In base 3, what is -10012 + 2022110122122?
2022110112110
In base 10, what is -463512 + -303?
-463815
In base 9, what is 0 - 437263433?
-437263433
In base 6, what is -445 + 1044401?
1043512
In base 16, what is 29 - -7aeaaf?
7aead8
In base 9, what is 3 + 15835783?
15835786
In base 10, what is 2 + -7127156?
-7127154
In base 6, what is -101450422 - 11?
-101450433
In base 11, what is -2422 - 6081?
-84a3
In base 14, what is 16 + -3d25d3?
-3d25bb
In base 16, what is -20dc - 13bb7?
-15c93
In base 3, what is 10222110020 - 1101110?
10221001210
In base 6, what is -3541 - 2054455?
-2102440
In base 16, what is 1 - -b0855?
b0856
In base 15, what is -cb687 + 90?
-cb5e7
In base 11, what is 3 - 17190472?
-1719046a
In base 11, what is 56421056 + -3?
56421053
In base 10, what is -3139454 + 3?
-3139451
In base 13, what is 113299 + a?
1132a6
In base 16, what is -33e8a - 1?
-33e8b
In base 6, what is -5 + 2452104021?
2452104012
In base 4, what is 1 - 13332221320?
-13332221313
In base 8, what is 70244244 + -1?
70244243
In base 15, what is 364300e + 4?
3643013
In base 5, what is 3320332322441 - -3?
3320332322444
In base 2, what is -10101011001 + 110101101010111?
110010111111110
In base 10, what is 2 - -90099929?
90099931
In base 10, what is 1805 - -14939?
16744
In base 15, what is -5 - eeb04?
-eeb09
In base 3, what is 100 - -1122200211102201?
1122200211110001
In base 8, what is 351207 - -1364?
352573
In base 10, what is 2676 - -48?
2724
In base 4, what is 1 + 22120012320100?
22120012320101
In base 5, what is 31404114 - -130?
31404244
In base 7, what is -246 + 144545?
144266
In base 13, what is 211b - -1cc5?
4113
In base 2, what is 0 - -110100110110100101001?
110100110110100101001
In base 12, what is -238629 + -26?
-238653
In base 10, what is 681 + -1502?
-821
In base 5, what is -1110411140230 - -1?
-1110411140224
In base 3, what is 1122 - -11021022112?
11021101011
In base 7, what is -2600460 + -115?
-2600605
In base 15, what is -14b4c6c + -5?
-14b4c72
In base 6, what is 1133242 + 350?
1134032
In base 2, what is 10 - 1001111010101000100110011111?
-1001111010101000100110011101
In base 13, what is -c6b2 + 98c2?
-2ac0
In base 10, what is 1 + -19912500?
-19912499
In base 3, what is -121120110221001 + -12?
-121120110221020
In base 14, what is -5d + -27d727?
-27d786
In base 11, what is 15a1 - -174a38?
176529
In base 14, what is -304a5 + -2b71?
-33236
In base 15, what is 67d3d3e + 2?
67d3d41
In base 15, what is -11 + -d330a?
-d331b
In base 11, what is -167 + -6145a?
-61616
In base 13, what is -1382 + -12745?
-13ac7
In base 8, what is 57247240 + -2?
57247236
In base 9, what is -4340 + 43482?
38142
In base 3, what is -201221 + 12022112101?
12021210110
In base 15, what is -a1ac - -3be7?
-64b5
In base 4, what is -23003122113 + -1?
-23003122120
In base 13, what is -1 - -bb55ca8?
bb55ca7
In base 14, what is d0d - -38045?
38d54
In base 7, what is -6 - -35260545?
35260536
In base 13, what is -1ac - b95?
-1074
In base 3, what is 20220211120 - 2222210?
20210211210
In base 5, what is 2120 - 343213021?
-343210401
In base 4, what is -102000313321 - -1?
-102000313320
In base 13, what is -1288 - 5ab?
-1866
In base 9, what is 1118 + -2881155?
-2880036
In base 8, what is 104560365 + 5?
104560372
In base 14, what is 73b + -b16?
-3b9
In base 3, what is 12 + -210011112220212021?
-210011112220212002
In base 13, what is -126ca2b - 2?
-126ca30
In base 3, what is 1001212112 - -121002?
1002110121
In base 11, what is -7 - -4159a?
41593
In base 5, what is 43013031 - 24?
43013002
In base 13, what is -8021 - 12?
-8033
In base 5, what is 11303034 - -2233?
11310322
In base 13, what is 528284a - -7?
5282854
In base 12, what is -199a + -1b33?
-3911
In base 14, what is 2c9712 + -3?
2c970d
|
{
"pile_set_name": "DM Mathematics"
}
|
etters picked without replacement from pbbbppbpbpbbppbb.
9/130
What is prob of sequence ppsp when four letters picked without replacement from {p: 3, s: 3, g: 1}?
3/140
What is prob of sequence sh when two letters picked without replacement from {p: 1, x: 4, h: 1, s: 3, c: 2}?
3/110
Four letters picked without replacement from {m: 2, v: 1, a: 3, s: 4}. What is prob of sequence mssm?
1/210
Calculate prob of sequence kik when three letters picked without replacement from {k: 11, i: 2}.
5/39
Calculate prob of sequence ynjy when four letters picked without replacement from {y: 2, n: 1, h: 2, j: 1, x: 1, v: 1}.
1/840
Calculate prob of sequence hy when two letters picked without replacement from uphcycu.
1/42
Calculate prob of sequence tt when two letters picked without replacement from {n: 2, t: 15, o: 3}.
21/38
What is prob of sequence ooo when three letters picked without replacement from onnnnonoonoonnnooon?
28/323
What is prob of sequence hhy when three letters picked without replacement from {h: 9, y: 3}?
9/55
Three letters picked without replacement from {l: 3, b: 7, f: 1, i: 2, g: 2, p: 5}. Give prob of sequence pfb.
7/1368
Calculate prob of sequence rv when two letters picked without replacement from hhhhhhhhhrhvhhhhrhrv.
3/190
Three letters picked without replacement from {u: 1, z: 2, x: 4, e: 5, p: 2}. Give prob of sequence epz.
5/546
Four letters picked without replacement from {j: 5, k: 7, w: 4}. Give prob of sequence kwjw.
1/104
What is prob of sequence ko when two letters picked without replacement from kooooaooaaoakoaaoaa?
1/19
Three letters picked without replacement from {j: 2, h: 1, o: 10, l: 2, s: 4}. What is prob of sequence soo?
20/323
Four letters picked without replacement from {i: 7, f: 3}. Give prob of sequence fifi.
1/20
Four letters picked without replacement from whhwtphhwzhkppthh. Give prob of sequence zpwt.
3/9520
Four letters picked without replacement from {u: 5, x: 9}. Give prob of sequence xuxu.
60/1001
Three letters picked without replacement from {a: 2, t: 6, r: 2, n: 10}. Give prob of sequence nan.
1/38
Calculate prob of sequence mmby when four letters picked without replacement from ybybmmymmyy.
1/66
What is prob of sequence vv when two letters picked without replacement from {v: 5, c: 9}?
10/91
Calculate prob of sequence ko when two letters picked without replacement from jojjosojjojmsssyky.
2/153
What is prob of sequence zzz when three letters picked without replacement from {p: 5, z: 8}?
28/143
Three letters picked without replacement from {l: 1, k: 1, f: 1, p: 4, r: 1}. Give prob of sequence ppf.
1/28
Three letters picked without replacement from xmamammammmaamaaammm. Give prob of sequence ama.
77/855
Four letters picked without replacement from siizzzsiissis. Give prob of sequence issi.
10/429
Four letters picked without replacement from {e: 6, d: 6}. What is prob of sequence eeee?
1/33
Two letters picked without replacement from {g: 3, l: 7}. Give prob of sequence ll.
7/15
What is prob of sequence sps when three letters picked without replacement from {k: 3, p: 4, t: 3, s: 2, l: 1, f: 4}?
1/510
Calculate prob of sequence fr when two letters picked without replacement from {t: 6, y: 2, v: 2, r: 5, f: 3}.
5/102
Three letters picked without replacement from {j: 2, y: 18}. Give prob of sequence yyj.
17/190
Calculate prob of sequence osj when three letters picked without replacement from jsssjsoj.
1/28
Four letters picked without replacement from {i: 5, u: 2, l: 2, q: 3}. What is prob of sequence luqi?
1/198
Calculate prob of sequence ttt when three letters picked without replacement from suxuttuuxutui.
1/286
Calculate prob of sequence oao when three letters picked without replacement from {a: 4, k: 1, o: 5, d: 1}.
8/99
Calculate prob of sequence ppi when three letters picked without replacement from jpjiijijjjzooopjy.
1/680
Two letters picked without replacement from qpbcbbcbbqdcqsq. Give prob of sequence db.
1/42
What is prob of sequence aai when three letters picked without replacement from {a: 2, q: 2, p: 10, f: 1, b: 1, i: 3}?
1/969
What is prob of sequence eteh when four letters picked without replacement from etthettetthtttet?
1/182
Three letters picked without replacement from {b: 1, y: 2, f: 5, p: 1, n: 1}. What is prob of sequence ybp?
1/360
What is prob of sequence oo when two letters picked without replacement from cyooodc?
1/7
Two letters picked without replacement from {j: 2, u: 8, q: 4, s: 2}. What is prob of sequence su?
1/15
What is prob of sequence dd when two letters picked without replacement from {a: 1, r: 2, d: 2, l: 4}?
1/36
What is prob of sequence wj when two letters picked without replacement from {w: 3, j: 2}?
3/10
Three letters picked without replacement from {x: 2, t: 1, g: 1, r: 2, c: 2}. What is prob of sequence cgt?
1/168
Four letters picked without replacement from ynhnhnnhn. What is prob of sequence yhhh?
1/504
Three letters picked without replacement from evyeyvyvyvy. Give prob of sequence eyy.
4/99
Three letters picked without replacement from {w: 4}. Give prob of sequence www.
1
Four letters picked without replacement from {i: 2, s: 8, g: 3, f: 4, l: 1, c: 2}. What is prob of sequence glsc?
2/4845
Calculate prob of sequence rrrd when four letters picked without replacement from {r: 5, p: 3, d: 8}.
1/91
Three letters picked without replacement from buycbpz. What is prob of sequence zcb?
1/105
Three letters picked without replacement from {z: 2, m: 4}. Give prob of sequence zzm.
1/15
Four letters picked without replacement from {o: 6, l: 2, s: 4, x: 1, h: 1, a: 1}. Give prob of sequence aool.
1/546
Four letters picked without replacement from yyeyeeehpeyyyyyyhyhy. What is prob of sequence epye?
11/5814
Four letters picked without replacement from uzuuuzzuuuzuzuzuzuu. What is prob of sequence uzuu?
385/3876
Three letters picked without replacement from {i: 4, a: 2, g: 2, m: 1, r: 5}. What is prob of sequence grm?
5/1092
Two letters picked without replacement from qheawwwhqhxxaqa. Give prob of sequence hx.
1/35
Three letters picked without replacement from hhspsshhhkskskhkhk. What is prob of sequence shk?
175/4896
Calculate prob of sequence czhh when four letters picked without replacement from {z: 5, h: 2, c: 6}.
1/286
Two letters picked without replacement from xyp. What is prob of sequence py?
1/6
Four letters picked without replacement from {f: 2, m: 1, o: 2}. Give prob of sequence moof.
1/30
Three letters picked without replacement from {o: 7, j: 5, f: 1}. Give prob of sequence foj.
35/1716
What is prob of sequence dsj when three letters picked without replacement from jdjsjjcdj?
5/252
Three letters picked without replacement from uggggggggggg. Give prob of sequence ugg.
1/12
Calculate prob of sequence bp when two letters picked without replacement from {
|
{
"pile_set_name": "DM Mathematics"
}
|
-2/69 in increasing order.
-4, -2/69, 0.4, 1/2
Sort 12, -4, -38.
-38, -4, 12
Sort 33, 5, -17, -5 in ascending order.
-17, -5, 5, 33
Sort -4, -1, -2, 59 in decreasing order.
59, -1, -2, -4
Put -7, 1, -31 in decreasing order.
1, -7, -31
Sort 0, -24.9, 2, 4/3 in decreasing order.
2, 4/3, 0, -24.9
Sort -48, -1, 0, 1 in ascending order.
-48, -1, 0, 1
Sort -0.3, -0.1, 87, -0.2, 4.
-0.3, -0.2, -0.1, 4, 87
Sort 10, -1, 2, -3/8 in increasing order.
-1, -3/8, 2, 10
Put -13, -2, 0, 2 in ascending order.
-13, -2, 0, 2
Sort -1/13, 3, -5, 0.18, 0.2 in descending order.
3, 0.2, 0.18, -1/13, -5
Sort -5, 5, 4, 9 in increasing order.
-5, 4, 5, 9
Sort 0.5, 126, -5/2.
-5/2, 0.5, 126
Put -15, 4, 3, -4 in descending order.
4, 3, -4, -15
Sort -1, -10, 5, -2 in ascending order.
-10, -2, -1, 5
Put 0.5, -0.4, 1/10, -3, -5/6 in ascending order.
-3, -5/6, -0.4, 1/10, 0.5
Sort -31, 3, 2, 0, -41 in ascending order.
-41, -31, 0, 2, 3
Put 4, -2, -13, 5 in descending order.
5, 4, -2, -13
Sort -2/7, -2/5, -3178 in ascending order.
-3178, -2/5, -2/7
Sort 0, 4, 0.5, -19.4 in decreasing order.
4, 0.5, 0, -19.4
Sort 0.3, 0.1, 38, 5 in decreasing order.
38, 5, 0.3, 0.1
Put -6, 1, -4, 0, -1 in descending order.
1, 0, -1, -4, -6
Put 0, 4, -0.07 in increasing order.
-0.07, 0, 4
Put -0.2, 2, -0.2504 in descending order.
2, -0.2, -0.2504
Sort -2, -8, 1.
-8, -2, 1
Sort -4/3, 15, -1 in decreasing order.
15, -1, -4/3
Sort -1, -2, -3, 9 in descending order.
9, -1, -2, -3
Put 5, 1/2, 0.026 in descending order.
5, 1/2, 0.026
Sort -1/3, 2/9, 2.2, -5, -1/26.
-5, -1/3, -1/26, 2/9, 2.2
Put 6, 0, 1, 20, 3 in descending order.
20, 6, 3, 1, 0
Sort -0.03, 26, -2, -4, -1 in descending order.
26, -0.03, -1, -2, -4
Sort 0, -40, 5, 8 in descending order.
8, 5, 0, -40
Sort 18, 2, 7 in ascending order.
2, 7, 18
Put -0.2, 4, 10, -0.1 in descending order.
10, 4, -0.1, -0.2
Sort 0.3, 0.18, -1/6, 2/11.
-1/6, 0.18, 2/11, 0.3
Sort 2, -3, 0, 5 in descending order.
5, 2, 0, -3
Put -1/12, 2, -4, -4/3 in increasing order.
-4, -4/3, -1/12, 2
Put -5, -1/4, -1, -1797, 2/7 in descending order.
2/7, -1/4, -1, -5, -1797
Sort -3, 5, 166.
-3, 5, 166
Sort 3, 5, 0, -696, -2 in increasing order.
-696, -2, 0, 3, 5
Put 3, -0.1, -0.09 in increasing order.
-0.1, -0.09, 3
Put 2, -269, -5 in decreasing order.
2, -5, -269
Sort 2, -4, -826.
-826, -4, 2
Put 1, 5, 3, 0.2, 4.76 in decreasing order.
5, 4.76, 3, 1, 0.2
Put 276, 2/5, -2 in decreasing order.
276, 2/5, -2
Put -7, -3, -19 in ascending order.
-19, -7, -3
Sort 3/4, 3, 1/5, -1/41, 0.3 in descending order.
3, 3/4, 0.3, 1/5, -1/41
Sort -79, 0, 3, -5, -2 in ascending order.
-79, -5, -2, 0, 3
Sort 0.3, -10/7, -0.2, -1/9 in decreasing order.
0.3, -1/9, -0.2, -10/7
Put 0, -15, -6, 1 in descending order.
1, 0, -6, -15
Sort -4, -16, -0.16 in descending order.
-0.16, -4, -16
Put -2, 5, -5, -3 in descending order.
5, -2, -3, -5
Sort 0.012, 4, -1 in ascending order.
-1, 0.012, 4
Sort -18, 0, 5 in increasing order.
-18, 0, 5
Put 46, 4, 5 in descending order.
46, 5, 4
Put 4, 0, -5, -1, 2 in descending order.
4, 2, 0, -1, -5
Sort -14, -0.3, -2/3, -0.5, 0.4.
-14, -2/3, -0.5, -0.3, 0.4
Sort 1, 6, 4, -5 in descending order.
6, 4, 1, -5
Put -0.03, -1/4, -1/8 in descending order.
-0.03, -1/8, -1/4
Put 1/5, 26, -1/11 in ascending order.
-1/11, 1/5, 26
Sort 14/3, 5, -4 in increasing order.
-4, 14/3, 5
Put -1/6, -0.6, -9/8 in ascending order.
-9/8, -0.6, -1/6
Put 5, 3/4, 1/4 in increasing order.
1/4, 3/4, 5
Sort -2/3, -0.07, -2, 1/4 in decreasing order.
1/4, -0.07, -2/3, -2
Put -0.4, -0.2, 3, 7 in decreasing order.
7, 3, -0.2, -0.4
Sort -12, 0, 0.3 in descending order.
0.3, 0, -12
Put 4, -1030, -5 in descending order.
4, -5, -1030
Sort -235, 3, 5 in descending order.
5, 3, -235
Sort -75, -1, 8.
-75, -1, 8
Put -954, -3, 0 in descending order.
0, -3, -954
Put 1, 0.9, 27, 0.04 in increasing order.
0.04, 0.9, 1, 27
Sort -10, 2, 1, -18 in descending order.
2, 1, -10, -18
Sort 9/2, 0.5, 3/32 in increasing order.
3/32, 0.5, 9/2
Put
|
{
"pile_set_name": "DM Mathematics"
}
|
8 and c.
1
Let v = 16 + -4. Suppose 2*f + 24 - 97 = m, 4*f - 139 = -5*m. Calculate the highest common factor of f and v.
12
Let c(u) = -2*u**3 + 12*u**2 - 4*u - 5. Let q be c(5). What is the greatest common factor of 175 and q?
25
Let q = 23 - 22. What is the highest common factor of q and 4?
1
Let l(s) = -s**3 + 7*s**2 + 10*s - 8. Let b(i) = 6*i. Let h be (-2)/3 - (-10)/6. Let a be b(h). Let y be l(a). What is the highest common factor of y and 8?
8
Let h be (2 - 32/5)/(2/(-10)). Calculate the greatest common divisor of 176 and h.
22
Let z = -42 - -57. What is the highest common divisor of z and 35?
5
Suppose -4*q + 7 = -9. Suppose -q*s - 40 = -2*c, 4 = 2*s - s. What is the greatest common factor of 14 and c?
14
Suppose -4*l + 261 = -5*r, 7*r - 2*r - 187 = -3*l. Let g be (l/40)/(2/5). Calculate the greatest common divisor of g and 20.
4
Suppose 5*i = 4*i + 1. Let w be -35*i/(-5)*4. Let z = -11 + w. Calculate the highest common divisor of 17 and z.
17
Suppose -2*z + 43 = -5. What is the highest common factor of 16 and z?
8
Suppose -s + 5*y + 61 = 0, 5*y + 6 = -19. Calculate the highest common divisor of 90 and s.
18
Let m be (-135)/(-5)*2/3. What is the highest common factor of m and 18?
18
Let b be (34/6)/((-2)/(-6)). Let k = 118 + -84. Calculate the greatest common divisor of k and b.
17
Let w = 37 - 25. Suppose 3*g + 1723 = 5*j + w, -5*j - 4*g = -1697. Calculate the highest common divisor of j and 31.
31
Suppose -2*z - 3*z + 80 = 0. What is the highest common divisor of z and 128?
16
Let n = -4 - -21. Let p(j) = 3*j + 3*j**3 - 4 + 12*j**2 + 0*j**3 - 2*j**3 - 3. Let o be p(-5). Calculate the greatest common divisor of o and n.
17
Suppose 0 = 7*b - 224 + 42. What is the greatest common factor of 78 and b?
26
Suppose 0*t = -2*t. Let o = t + 15. Calculate the greatest common divisor of 10 and o.
5
Let h = -20 + 36. What is the greatest common divisor of 128 and h?
16
Let t be (6/(-4))/((-21)/70). Let m be (-6 - -4)/((-1)/2). Suppose -k + m = -1. What is the highest common factor of k and t?
5
Let f = -7 - -10. Suppose -25 = -8*h + f*h. Calculate the greatest common factor of h and 2.
1
Suppose 21*x - 24*x = -117. Suppose -3*y - 52 = -7*y. What is the greatest common divisor of y and x?
13
Suppose 1 - 13 = 2*a. Let l be -2 + a/(4/(-2)). Calculate the greatest common factor of l and 9.
1
Let d = 1 - -59. Suppose 0 = -3*l - l + 24. Calculate the greatest common factor of d and l.
6
Suppose 0 = 2*k - 38 - 0. Calculate the greatest common divisor of 209 and k.
19
Let v(z) = -15*z - 1. Let j be v(3). Let u = j - -82. Suppose 0 = 3*h - 4*t - 72, -2*h + 72 = h - 2*t. Calculate the greatest common divisor of u and h.
12
Suppose -5*k + 39 = 9. Let v be k/4*600/9. Suppose -3*p + v = p. What is the highest common factor of p and 125?
25
Suppose -2*i = -i. Suppose -3*m + i*f = 3*f, 3*m - 6 = -f. Suppose -5*z - 4*h = -170, m*z + 3*h = -0*z + 102. Calculate the greatest common divisor of 51 and z.
17
Let z(c) = -4*c + 16. Let k be z(0). What is the highest common factor of 12 and k?
4
Suppose 3*n - f - 22 = 0, 46 = -n + 6*n - 4*f. Suppose -n*y = -y - 15. Suppose -3 = -y*u, 0*w + 7 = w - 2*u. Calculate the greatest common factor of 45 and w.
9
Let q(y) = -y**3 + 9*y**2 + 2*y - 6. Let f be q(9). Calculate the greatest common divisor of 9 and f.
3
Let q be (-4 - 0)/(4 + -6). Suppose -2*y + 48 = n, q = -y - 2. Suppose -l + 19 = -2*b - 2*b, -26 = -2*l + 4*b. What is the highest common factor of n and l?
7
Suppose 3*n - 2*g - 56 = 83, -4*n + 216 = 5*g. Suppose 3*y - n = -10. Calculate the greatest common factor of 26 and y.
13
Suppose 0*r + 5*r = 300. Let m(t) = t**2. Let g(f) = -5*f**2 - 9*f + 5. Let b(o) = -g(o) - 6*m(o). Let n be b(5). What is the highest common divisor of r and n?
15
Suppose 5 = -3*p - 2*t - 0, 0 = p - 4*t + 25. Let v = -2 - p. Suppose d + d = 54. What is the greatest common divisor of v and d?
3
Let m(n) be the second derivative of n**4/12 + 2*n**3/3 - 5*n**2/2 + n. Let c = 9 - 5. Let t be m(c). Calculate the highest common divisor of t and 9.
9
Suppose -4*w + 4*p + 790 = 166, 4*w + 5*p - 669 = 0. Suppose 0 = -2*g + 4*h + 156, -w = -2*g - 0*g + 3*h. Calculate the greatest common factor of 8 and g.
8
Let m = 4 - -620. Suppose 4*d + 260 = 2*n, -n + 6*n - m = -3*d. What is the greatest common factor of 14 and n?
14
Let p = -1 - -8. Suppose -p*z + 4*h = -3*z - 24, -z + 4*h + 12 = 0. Calculate the greatest common factor of z and 12.
4
Suppose -93 = -3*n + 135. Let v = n - 52. What is the highest common factor of v and 8?
8
Let w be (-1)/6 - (-97)/6. What is the highest common divisor of w and 176?
16
Suppose -2*l + 92 = 2*h, 5*l + 9*h - 218 = 8*h. Calculate the highest common factor of l and 473.
43
Let b be (-5)/(-2)*(-18)/(-15). Suppose b*g + 2*v = 28, -3*g + 11 = -2*g + v. What is the greatest common divisor of g and 42?
6
Suppose -a = a - 26. Calculate the highest common factor of 91 and a.
13
Suppose 0 = 3*t - 4*i - 13, -4*t - 25 = t + 5*i. Let d = -12 + 13. Let c be t/d + (2 - -10). What is the greatest common divisor of c and 33?
11
Let s = -33 + 45. What is the greatest common factor of s and 12?
12
Let f be ((-14)/35)/((-1)/(-20)). Let v(t) = -t**2 - 11*t + 6. Let x be v(f). Calculate the highest common divisor of 75 and x.
15
Suppose 2
|
{
"pile_set_name": "DM Mathematics"
}
|
-a**2 + 105*a + 1659. Let i be k(-14). Let p(g) = -27*g - 178. What is p(i)?
11
Let t(m) = 10*m**2 + 17*m - 5. Let y(h) = 3*h**2 + 6*h - 1. Let a(v) = -2*t(v) + 7*y(v). Calculate a(-12).
51
Let i(l) = l**3 + 9 - 5*l + 39*l**2 - 15*l**2 - 13*l**2 - 9*l**2 + 4*l. Calculate i(-3).
3
Let x(k) = -k**2 - k + 3. Let d = -264 + 273. Suppose l - 9 = -d. Determine x(l).
3
Let f(k) = 3*k - 5. Suppose 0 = -18*v + 57*v + 39*v. Give f(v).
-5
Let l(g) = 15 + 120 + 4*g + 10 - 144 - 3*g. Let d = -11 - -19. Suppose -2*z = -z - d. Determine l(z).
9
Let r(k) = -k - 23. Suppose -151*f - 44*f + 5 - 980 = 0. Give r(f).
-18
Let t(l) = 5*l - 14 + 8*l**2 + 54*l**3 - 4*l**3 - 51*l**3 + 0*l**3. Calculate t(8).
26
Let o = 7 - 2. Suppose 4*t + 4*s = -20, o*t + 5*s = t - 21. Let j(d) be the second derivative of d**5/20 + d**4/3 + d**3/6 + 3*d**2/2 - d - 126. Determine j(t).
-1
Let q(g) = g**2 - 11*g + 18. Let f be -3 + (1/2 + 0)*(27 + -9). Calculate q(f).
-12
Let j(y) = y**2 - 8*y - 2. Let f = 144 - 103. Suppose -f*c = -42*c + 8. Suppose -4*d - c = -o, 5*d = -o + 2*o - 8. Determine j(o).
-2
Suppose -2*r - 2 = 4*a - 0*a, 0 = -r + a - 10. Let h(o) = 51*o - 1. Let l(q) = 41*q + 1. Let j(n) = -4*h(n) + 5*l(n). Calculate j(r).
2
Let s be 9 + (5/(-5))/(3/12). Let x(y) = -2*y + 2*y - 4*y + 32 - 13. Let a be x(s). Let d(t) = -t**2 - t - 1. Calculate d(a).
-1
Let w be (-213)/(-2) + (-10)/(-4). Let u(b) = b**2 + w - 223 - 6*b + 115. Suppose -4 + 16 = 2*x. Determine u(x).
1
Let o(n) = -n**3 - 10*n**2 + 8*n + 6. Suppose -74 = -5*a - 49, -4*z - 25 = 3*a. Calculate o(z).
-74
Let k(u) = -u**3 + 10*u**2 - 14*u + 11. Let v(l) = l**3 + l**2 + l - 3. Let f(x) = k(x) + 2*v(x). Calculate f(-13).
-8
Let z(w) = 13*w + 11. Let b(r) = 5*r + 1. Let p(o) = -11*b(o) + 4*z(o). Calculate p(-14).
75
Let a(q) = q**2 + 507*q + 506. Let i be a(-1). Let f(j) = -2*j + 155. Give f(i).
155
Let d(f) = f**2 - 1. Suppose 4*m - 12 = 0, -3*q + q - 5*m = -187. Let w be (-105)/(-51) - 2 - 286732/(-3298). Let l = q - w. Determine d(l).
0
Let z(d) = 3*d**3 - 42*d**2 - 39*d - 38. Let i(b) = b**3 - 7*b**2 - 3*b - 1. Let w(f) = 4*i(f) - z(f). Calculate w(-12).
-2
Let c(u) be the first derivative of 2*u**3 + u**2 - u - 271. Suppose -3*a + 3*q + 2 = 2*a, 0 = -q - 4. Calculate c(a).
19
Let n(w) = w**2 + 9*w + 21. Let x be n(-3). Let j(h) = 4 + 2 - 3 + h + x. What is j(0)?
6
Let i(o) = 3*o**2 - 5*o - 14. Suppose 0 = -5*f, 8*b + 5*f = 6*b - 8. Let y(w) = 2*w**2 - 6*w - 13. Let d(n) = b*i(n) + 5*y(n). Calculate d(-6).
-21
Let f(m) = 2*m**2. Let n(i) = 5*i**2 + 17*i - 18. Let t(h) = -3*f(h) + n(h). Suppose 2*a = -3*r + 32, 5*a - 80 = -0*a + r. Calculate t(a).
-2
Let l(i) = i - 5. Let o be l(-4). Suppose -3*d = 4*c - 49, 5*c + d - 4*d - 41 = 0. Let k(y) = 3 - 11*y - y**2 - c - 5. Determine k(o).
6
Let j(f) = -9*f + 2. Let g be (1 - (-3)/(-6))*2. Let m be j(g). Let d(t) = 2*t**2 + t. Let s(r) = 3*r**2 + 8*r - 10. Let x(y) = -d(y) + s(y). Calculate x(m).
-10
Let g(l) = l**2 + 6*l + 31. Let m be (-11 - -5) + 9 + -12. Give g(m).
58
Let f be -77*(-2 + (1 - -2)). Let k = 74 + f. Let d(h) = -h**2 - h - 2. Calculate d(k).
-8
Let y(m) be the second derivative of -1/3*m**3 - 55*m - 1/2*m**2 + 0. Determine y(6).
-13
Let a(h) = -h + 6. Suppose s = -2*c - 9, -3*c + s = 4*s + 15. Let i be ((-2)/c)/(19/76). Suppose -i*n - 4*g + 16 = -0*n, 12 = 4*n + 3*g. Determine a(n).
6
Let a be (-45)/20*(-8)/3. Suppose -y = -a - 2. Let b(d) = -d**3 + 225*d**2 - 14*d - 5. Let p(o) = -36*o**2 + o - 1. Let w(k) = -b(k) - 6*p(k). Calculate w(y).
11
Let o(t) = -7*t**2 + 4*t**3 - 7*t**3 - t + 30*t**3 - 8*t**3 + 27 - 20*t**3. What is o(-6)?
-3
Let f(w) = -w**2 - 11*w + 3. Let j be (6 + (-48)/4)/(6/153). Let y = j - -141. Calculate f(y).
-9
Suppose 0 = -2*u + 6*u + 4. Let j(r) be the second derivative of -1/6*r**3 - 13*r + 1/4*r**5 - 1/12*r**4 - 1/2*r**2 + 3. Give j(u).
-6
Let m(v) = 13*v - 1636 + 3391 - 1827. Give m(5).
-7
|
{
"pile_set_name": "DM Mathematics"
}
|
- 1 + 2*g**3 + 1 - 2*g**3 + 2*g**3 - g**3.
-29*g**3
Expand (o**2 - 2 + 2)*(0*o**2 + 2*o**2 - o**2) + (-o - o + 3*o)*(o - o**3 - o) + 34*o**4 + 49*o**4 + 7*o**4.
90*o**4
Expand -24*a**3 - 55 + 2*a**2 - 82 + 23*a**3 + (-3*a**3 + a**3 + a**3)*(-1 + 4 - 1).
-3*a**3 + 2*a**2 - 137
Expand (-3*m**2 + m**3 + 3*m**2)*(-1 - 5 + 4) + 2*m + m**3 - 2*m + 4*m**3 - m**3 - m**3 + (2*m**3 + 2 - 2)*(-1 - 2 + 5) - 3*m + m**3 + 3*m.
6*m**3
Expand ((5 - 1 - 3)*(-2 - 2 + 5) + (-1 - 3 + 3)*(-1 - 1 + 4))*(2*i + i - 4*i)*(2 + 2 - 2).
2*i
Expand -g**2 + 2*g**3 + g**2 + 2*g**3 - g**3 - 2*g**3 + (0*g**2 - g**2 - g**2)*(4*g - 2*g - g) - 2200*g + 2189*g + 0*g**3 - g**3.
-2*g**3 - 11*g
Expand 46 - 46 - 19*m**3 + m**3 + m**3 - m**3 + (3*m**3 - 2*m**3 - 2*m**3)*(-6 + 2 + 2) - 2*m**3 + 0*m**3 + m**3.
-17*m**3
Expand 92*l**2 + 29*l**2 - 31*l**2 + (2 + 2*l - 2)*(-4*l + 6*l - 3*l).
88*l**2
Expand (-37 - 158 + 99)*(-2*k + 2*k**3 + 2*k).
-192*k**3
Expand (3 - 4 + 3)*(u**5 - 3*u**5 + 4*u**5) + (-9*u**3 + 5*u**3 - 6*u**3)*(-3 + 3 - 3*u**2).
34*u**5
Expand (-1 - 5 - 2)*(0*n + 2*n - n) + 7 + 0*n - 5*n + 8*n.
-5*n + 7
Expand (t - 3*t + t)*(1 - 2 + 8)*(-14*t - 8*t + 8*t).
98*t**2
Expand (9*q + 2 - 2)*(-4*q - 2*q + 4*q + (5 - 6 + 2)*(1 + q - 1) + 2*q - 2*q + 2*q - 5*q + 0*q - 3*q).
-63*q**2
Expand 7*q + 11*q - 23*q - 2*q + 2*q + 2*q + (-3 + 3 + q)*(-1 - 2 + 4) + q - 1 + 1.
-q
Expand (c**4 + 2*c**4 - 2*c**4 + (0 + c + 0)*(0*c**3 - 5*c**3 - 2*c**3))*(2 - 3 + 7).
-36*c**4
Expand (-24 + 6*n**2 + 7 + 13)*(-2 + 5 - 1).
12*n**2 - 8
Expand (12*m**2 + 15*m**2 - 5 - 28*m**2)*(0*m**2 - 4*m**2 + 3*m**2 + (0*m + 0*m - 2*m**2)*(2 - 2 + 2)).
5*m**4 + 25*m**2
Expand ((-1 + 0 + 3)*(16*k + 9*k - 13*k) + 2*k + 2*k - k + (-1 - 2 + 2)*(4*k - 6*k + 4*k))*(3 - 2 + 0).
25*k
Expand o**2 + o**5 - o**2 - o**3 - 4*o**5 + 0*o**5 + 2*o**5 + (-5*o**4 + 2*o**4 + 2*o**4)*(26*o - 3*o + 10*o).
-34*o**5 - o**3
Expand (2 + 0 + 0)*(-3*l + 0*l + l) - l - 1 + 1 + l + 2*l + l + (-1 - 2 + 16)*(l + 2*l - l).
25*l
Expand (6 - 5 - 13)*(3*u**3 - 2*u**2 + 2*u**2).
-36*u**3
Expand -2*p - p**3 + 3*p**3 + 0*p + 14*p**3 - 45 + 45 - 2*p**3 + 0*p**3 + p**3 + (2*p + 4*p - 4*p)*(2*p**2 - 3*p**2 + 2*p**2).
17*p**3 - 2*p
Expand (-5*h**3 + 2*h**3 + 0*h**3)*(8*h + 5*h + 6*h) + 0*h**4 + 3*h**4 - 2*h**4 + (h**4 - h**4 + h**4)*(-1 + 2 - 2).
-57*h**4
Expand (-i - 1 + 1)*(-i - 2 + 2) + ((-2*i + 0 + 0)*(-2 + 2 - 2) + 1 - i - 1)*(0 + 3 - 2)*(-11 + 13*i + 12 + 5).
40*i**2 + 18*i
Expand (b - b + b)*(4*b**4 + 23*b**4 - 11*b**4).
16*b**5
Expand -z + 2*z - 2*z + 0*z + 0*z + z + (3 - 3 - z)*(0 - 4 + 2) + 745 - 55*z - 583 + 57*z.
4*z + 162
Expand (-r + 0*r + 0 - 3)*(-24*r**4 + 2*r**4 - 23*r**4).
45*r**5 + 135*r**4
Expand (-1 - 1 + 1)*(-13*n + 9*n + 25 + n).
3*n - 25
Expand -33*l**2 + 33*l**2 - 25*l**5 + (-4*l - 2*l**3 + 4*l)*(-2 + 2 + 2*l**2).
-29*l**5
Expand (-3 - 3 - 5)*(36*u**3 - 68*u + 68*u) + (u**2 - u**2 - u**3)*(2 - 5 + 1).
-394*u**3
Expand (-6*q - 11*q - 23*q)*(-2 - 4 - 1)*(-1 + 2*q**4 + 1).
560*q**5
Expand (-6*o + o - o)*(4 - 1 - 1)*((3*o + 2*o - 4*o)*(7 - 2 - 3) + 4*o - 4*o + o + o - 6*o + 4*o).
-24*o**2
Expand (-30*h + 45*h - 67*h)*(-4*h**2 - 5*h**2 - 4*h**2).
676*h**3
Expand (0*s + 3*s - 6*s)*(4 + 3 - 5)*(s**2 + 4*s**2 + 2*s**2).
-42*s**3
Expand (3 - 2 - 3)*(-24743 + r**4 - 6*r**2 + 24743).
-2*r**4 + 12*r**2
Expand (7*y - 56 + 3*y + 47)*(-4 + 8*y**4 + 4).
80*y**5 - 72*y**4
Expand -3*n**3 + 0*n**3 + 2*n**3 + (-2*n + 3*n - 2*n)*(75*n**2 + 9*n**2 + 94*n**2).
-179*n**3
Expand (-3*s**2 + 5*s**2 - s**2)*(s**2 + 2 - 2) + 1 - 388*s**4 + s**2 - 381*s**4 + 771*s**4
|
{
"pile_set_name": "DM Mathematics"
}
|
- 1 - 5 = x. Suppose -8 = 4*i, -5*i - 6 = a*k + 7. Which is greater: k or -3?
k
Suppose 7*a = a + 114. Which is bigger: 20 or a?
20
Let t = 12 - 16. Let y = t - -4.1. Is 12 greater than y?
True
Let m be ((-28)/49)/(1 - -1). Which is smaller: 2 or m?
m
Let o(l) = -l - 36. Let r be o(7). Is -43 < r?
False
Let p = -0.3 - -0.2. Let u = p + -0.1. Let f = 0 + u. Which is bigger: f or 1?
1
Suppose 0 = -7*q + 3*q + 28. Is q > 8?
False
Let j be (-2)/(-14)*(0 + -3). Let z = 56 - 60.1. Let t = -4 - z. Which is greater: t or j?
t
Let k = 439/5 - 88. Is k at least 34?
False
Let a = -2/89 + -160/801. Let o = -0.3 + 1.3. Let t = 2 - o. Is a greater than or equal to t?
False
Let v = -672/5 - -134. Let s = v + 1/15. Which is smaller: s or 1/4?
s
Let l(g) = 2*g**3 - 1. Let b = 0 + 1. Let m be l(b). Let y be (3 - 0) + 4/(-2). Do m and y have the same value?
True
Let l be 64/(-248)*((-63)/60 - -1). Is 0 > l?
False
Let q be ((-3)/(-6))/((-3)/12). Let z = 4 + q. Let c be (z + -4)*(-2)/6. Does c = 0.1?
False
Suppose -5*o - 8 = -3*h, -2*h + 8 = -3*o + 3*h. Let y be ((6 - 3) + o)/(-2). Which is greater: 3 or y?
3
Let q = 0 + 1. Let c = 0.04 + 2.96. Let u = c - q. Is u >= -1?
True
Let k = -0.347 - 0.053. Which is smaller: -1 or k?
-1
Suppose -10 = -2*w, -w = -2*x + 4*x - 11. Is 3 >= x?
True
Suppose 13*j = 10*j - 30. Let y = j + 3. Which is smaller: y or -6?
y
Let z be 6/15 + 44/(-135). Which is greater: 0 or z?
z
Let y be (-40)/6*30/(-25). Let h(p) = 2*p - 1. Let a be h(3). Let x = a - y. Which is smaller: -1 or x?
x
Suppose 14 = a + a. Let f = a + -6. Is 1/6 != f?
True
Let i(x) = x**3 + 11*x**2 - 3. Let a be i(-11). Let m = -10 - -7. Is a greater than or equal to m?
True
Let k be -6 + (3 - 1) + (-19)/(-4). Is k <= 1?
True
Let r be 46/(-5) - (-2)/10. Which is smaller: -7 or r?
r
Suppose 72 = -4*p + 3*t, 10 + 61 = -3*p - 2*t. Let d be 9/3 + p/3. Which is smaller: -6 or d?
-6
Suppose -c = 4*c - 10. Let a be (-2)/4 + c/4. Is a equal to 0.06?
False
Suppose 0 = 3*d - 5*f - 5, -f = 2*f + 3. Suppose d = -r - 3 + 2. Is 0 bigger than r?
True
Suppose 3*p + 1 + 2 = 0. Let v(o) = -6*o**2. Let y be v(p). Which is smaller: y or -4?
y
Let f(w) = -w + 0*w**2 - 3 + 3*w + 2*w - w**2. Let s be f(2). Which is bigger: s or 3/7?
s
Suppose 2 + 4 = b + 4*a, 4*a = -2*b + 8. Suppose 0 = v + b*v + 3. Which is smaller: v or -4/5?
v
Suppose -3*i + 4*i = -1. Let n be (-7)/5 - (i + 0). Are n and 0.4 unequal?
True
Let t = -85 + 85.1. Which is smaller: 0 or t?
0
Let f = -9532480879 - -49378250785403/5180. Let w = 3/1036 - f. Let h = w + -32. Are h and -1 unequal?
True
Let n be 30/(-14) + (-5)/(-35). Is -3/5 less than n?
False
Let g = -0.8 + -0.2. Is g less than or equal to -32?
False
Let g = 80 + -55. Suppose o + 0*a + 4*a = -5, 5*o - g = 5*a. Let h = o + -3. Which is greater: h or -2?
h
Let k = -202/735 + 20/49. Suppose -r + 2 = r. Which is bigger: k or r?
r
Suppose 0 = -2*s - 371 + 153. Is s not equal to -108?
True
Suppose -3*y + 2*d - 27 = 0, 0 = -y - d - 2*d + 2. Is y at most -4?
True
Let s = 1/32 - 53/672. Let z = -2/7 + s. Is 1 at most as big as z?
False
Suppose 37 - 15 = -f + 4*w, -16 = 3*f - 2*w. Suppose 5 = 5*b - 4*g, -5 = 3*b + 4*g + 24. Which is bigger: f or b?
f
Let p be 44/10 - 62/155. Let u be (-2)/4 + (-7)/(-2). Is p at least u?
True
Let k = -0.2 - -0.4. Let l = -18 + 17.6. Let o = 0.5 + l. Are o and k nonequal?
True
Suppose 5 = l - 2*l. Let x(h) = -h. Let z be x(l). Suppose -3 = -w - z. Are -1 and w equal?
False
Let p = 9022/3 + -2935. Let z = p + -71. Is z at least 1?
True
Let x = -42 + 43. Which is greater: x or 3/32?
x
Let t = 32/7 + -89/21. Let q = -6 + 10. Suppose -q*n - 4 = -0*n. Which is smaller: t or n?
n
Let a(x) = -5 + 0*x**3 - 2*x**2 + 3 + 2*x - x**3. Let r be a(-3). Is r less than 0?
False
Suppose -3*g + 0*g = 12. Let l be (-2)/g - 10/12. Suppose 24 - 48 = -12*p. Which is smaller: p or l?
l
Let c = -10 - -5. Let b be 4/8*(-2)/c. Let q(w) = -w**3 - 5*w**2 - 4*w. Let h be q(-4). Which is greater: h or b?
b
Let x = 3 - 3. Suppose -i = -3, x*v - 3*i = 4*v - 17. Which is smaller: v or 3/5?
3/5
Let p be (-2 + 5)/(3/2). Suppose 5*a = -0*q - 3*q, p*a + 11 = q. Suppose k - 5*k + 29 = -q*m, 3*k - m = 8. Is k at most as big as 1?
True
Suppose 3*r + 0 = 3*p + 63, -5*p = 3*r - 79. Which is smaller: 24 or r?
r
Let p = -9 + 8. Let f = 1 - 1. Let j = f + p. Are j and 1 equal?
False
Suppose 3*k = 4 + 2. Suppose -k*b = -3*b + 5. Suppose 2 - 7 = -b*f. Is f
|
{
"pile_set_name": "DM Mathematics"
}
|
+ x. Suppose -r - d = r. What is r rounded to the nearest one million?
-1000000
Suppose 2*l = 104 + 1250. Let w = -1423 - l. What is w rounded to the nearest one hundred?
-2100
Let q = 117.8 - 105. Let d = q - 1.5. Round d to 0 decimal places.
11
Let p = 759481405.99999979 + -759481372. Let r = -34 + p. Round r to 7 decimal places.
-0.0000002
Let f = -1.5166 + 1.5. Let l = f - -0.02. Round l to 3 dps.
0.003
Let l = -1041.79 - 7.21. Let b = l + 1049.000461. What is b rounded to five decimal places?
0.00046
Let r = 10.35689 + -9.9768905. Let p = 0.38 - r. What is p rounded to seven dps?
0.0000005
Suppose 3 = 2*u + 7. Let h be -1 + 3 - (u + 4). Suppose h*y + 548000 = 4*y. What is y rounded to the nearest 10000?
140000
Let l(q) = -234620*q - 9. Let s be l(6). Let r = s - 1792277. Let c be (-6)/(-10) + r/10. What is c rounded to the nearest one hundred thousand?
-300000
Let h be 3*3*(-11)/(-33). Suppose 84 + 786 = -h*a. What is a rounded to the nearest 100?
-300
Let n = -477 - -479.07. Let f = n - 2.1. Let h = -0.030117 - f. Round h to five dps.
-0.00012
Suppose 4117 = -t + 3*p + 413, 2*t + 7400 = 4*p. Round t to the nearest 1000.
-4000
Let h(a) = 9 + 53921*a - 1 + 111081*a. Let o be h(-4). What is o rounded to the nearest one hundred thousand?
-700000
Let z = -268 + 268.0000288. Round z to 6 dps.
0.000029
Let o(x) = -1232879*x - 153. Let d be o(-7). What is d rounded to the nearest one million?
9000000
Let y = -926379 + 926379.06799996. Let t = y - 0.068. Round t to 7 decimal places.
0
Let z = 2920.567 + -2919. What is z rounded to two dps?
1.57
Let d(a) = -76*a**2 + 50. Let u be d(-6). What is u rounded to the nearest 100?
-2700
Let u = -629 + 628.9999406. Round u to 6 dps.
-0.000059
Let j = 39.1143 + 5.9547. Let h = j + -45. Let l = -0.06899845 + h. Round l to seven decimal places.
0.0000016
Let s = 100.1 - 108. Let d = s - -42.9. Let g = d - 35.00054. Round g to four decimal places.
-0.0005
Let s = -175.37 - -11.57. What is s rounded to 0 dps?
-164
Let j = 3.8 + -18.8. Let t = -17.6 - j. Let w = t + 10.7. What is w rounded to the nearest integer?
8
Let u = 9503.63 + -9469.629928. Let r = -34 + u. What is r rounded to five decimal places?
0.00007
Let r = -0.8001 - -0.8. What is r rounded to two decimal places?
0
Let d = 0.6 + -0.600935. Round d to 4 dps.
-0.0009
Suppose 5*q = 3*f + 5, -3*f + 6 = -q - 5. Suppose -16 = -3*m - 1, q*w - 1760010 = -2*m. Round w to the nearest 100000.
400000
Let n = 22 - 65. Let h = n - -43.000006. Round h to five dps.
0.00001
Let v = 1626 - 2528. Round v to the nearest ten.
-900
Suppose -q - 2*c + 596 = -5*q, c - 149 = q. Let j = q - 371. Round j to the nearest 1000.
-1000
Let y = 83 + -81.83. Let o = y - 1.16467. What is o rounded to 4 decimal places?
0.0053
Let p be 13/5 + 6/(-10). Suppose -25 - 5 = p*v. Round v to the nearest ten.
-20
Let t = -5.175 + 5.3. Let c = -0.023 + t. What is c rounded to 2 decimal places?
0.1
Let j be 62/4*(1601401 - -15). Suppose -10*g + 25178052 = -j. Round g to the nearest 1000000.
5000000
Let k = -1036.99999059 - -1037. What is k rounded to 6 dps?
0.000009
Let q = 633 - 399. Let d = q + -234.00000097. Round d to seven dps.
-0.000001
Let x = 212.84 + -230. What is x rounded to 0 decimal places?
-17
Let k = -17 + 40. Let a = 22.999884 - k. Round a to five dps.
-0.00012
Let x(k) = -k**2 - 12*k + 28. Let m be x(-14). Suppose m = 4*o + c - 69, 2*c - 36 = -2*o - 0*c. What is o rounded to the nearest 10?
20
Let s(h) = -h**2 - h + 21. Let k be s(0). Let x be ((-120)/k)/((-2)/7). Suppose 3*w + d - 35 = 0, 2*w - x = -0*w - 4*d. What is w rounded to the nearest ten?
10
Let j = -1.45 + 2. Let y = j - 0.98. Let o = -0.84 - y. Round o to 1 decimal place.
-0.4
Let v = 7956 + -7956.0004263. What is v rounded to four decimal places?
-0.0004
Let z = -101.000815 + 101. What is z rounded to 5 decimal places?
-0.00082
Let f(a) = -315*a. Suppose 0 = -8*x + 3*x + 30. Let u be f(x). Round u to the nearest 100.
-1900
Let t = -0.016 + -138.984. Let w = t + 139.0000022. What is w rounded to six decimal places?
0.000002
Let t = 1 + 4. Suppose -2*v - 27 = -t*r, r = -r + 5*v + 15. Suppose r*f - 12237366 + 47737366 = 0. Round f to the nearest 1000000.
-7000000
Let c = -4.321 - -142.961. Let w = c - 141. Let k = w + -0.24. What is k rounded to 0 dps?
-3
Let r = -1702.9641 + 1703. What is r rounded to one decimal place?
0
Let m = 52.34 + -52. Let q = -0.3615 + m. Round q to 2 dps.
-0.02
Suppose -5*d - 3*f + 202000009 = 0, -d + 4*f - 5178675 = -45578663. Suppose d = 21*m - 22*m. What is m rounded to the nearest one million?
-40000000
Let a = -56.39848 - 0.11152. Let j = a - -56. Round j to one decimal place.
-0.5
Let i = -2.7475 + 0.0175. Let r = i - 0.27. Let x = r - -5.6. Round x to zero dps.
3
Let m = -0.005975 + 21906.005975. Let x = m - 21905.82993. Let u = x + -0.17. What is u rounded to 4 decimal places?
0.0001
Let x = -18 - 34. Let p = x + 44. What is p rounded to the nearest 10?
-10
Let n = -6.85 + -3.95. What is n rounded to 0 decimal places?
-11
Let v
|
{
"pile_set_name": "DM Mathematics"
}
|
5*p**4/6 - 10*p**3 + p**2 - 4. Factor s(h).
5*(h - 6)*(h - 2)*(h - 1)
Let n = -3 - -3. Factor 3*u + 7 - 2*u**2 + u**2 - 9 + n.
-(u - 2)*(u - 1)
Let o(k) = 8*k**2 - 6*k - 2. Let j(s) = 15*s**2 - 11*s - 4. Let m be 1*(0 - 1) + -5. Let r(l) = m*j(l) + 11*o(l). Suppose r(z) = 0. What is z?
-1, 1
Let w(a) be the first derivative of -a**7/77 + 2*a**6/165 + 3*a**5/110 - a**4/33 - 8*a - 8. Let j(x) be the first derivative of w(x). Find n such that j(n) = 0.
-1, 0, 2/3, 1
Let b be (11/1 - 1)/2. Let r(n) = n**3 - 6*n**2 + 5*n + 7. Let u be r(b). Find q, given that -2*q**5 + 4*q**3 - 4*q**4 + u*q**2 - 2*q**3 - 3*q**2 = 0.
-2, -1, 0, 1
Let g = 577/3333 - -7/101. Let x(s) be the first derivative of -3/11*s**2 + g*s**3 + 6 + 0*s - 1/22*s**4. Determine z, given that x(z) = 0.
0, 1, 3
Let l be (-550)/(-20)*(-16)/(-88). Suppose 0*y + 0*y**2 + 21/4*y**4 + 0 - 9/4*y**l - 3/2*y**3 = 0. Calculate y.
0, 1/3, 2
Suppose -t + 15 = 3*q, q = 6*q - 5*t - 5. Find w such that -10*w - 2*w + q*w**2 - 18 - 6*w**2 = 0.
-3
Let s = 4999 - 29993/6. Factor -1/3 + s*f**2 - 1/6*f.
(f - 2)*(f + 1)/6
Let s(b) be the second derivative of 9/20*b**5 - 7/2*b**4 - 11*b + 0 + 10*b**3 - 12*b**2. Determine k, given that s(k) = 0.
2/3, 2
Let a(i) = -i**3 - 88*i**2 + 2702*i - 27008. Let r(w) = 2*w**3 + 87*w**2 - 2703*w + 27012. Let b(o) = -3*a(o) - 2*r(o). Suppose b(s) = 0. Calculate s.
30
Let m be 15 + -2 - 10556/819. Factor -m*k**3 + 1/9*k - 1/9 + 1/9*k**2.
-(k - 1)**2*(k + 1)/9
Let o(g) be the second derivative of -g**4/90 - 44*g**3/45 + 3*g**2 - 50*g. Factor o(d).
-2*(d - 1)*(d + 45)/15
Let b = 80 + -50. Let z be 24/b*(2 + 0). Factor 6/5*s**2 - 2/5*s**3 - z + 0*s.
-2*(s - 2)**2*(s + 1)/5
Let p = 668 - 3338/5. Factor 4/5*d - 6/5*d**2 + p*d**3 + 0.
2*d*(d - 2)*(d - 1)/5
Let f(n) = -6*n + 62. Let t be f(11). Let y be (t/14)/((-24)/168). Let 0 + 3/2*x**y - 3/4*x**3 - 3/4*x = 0. What is x?
0, 1
Let g = -9208/15 + 614. Let g*f**3 + 0*f**2 + 2/15*f**5 + 0 + 0*f + 4/15*f**4 = 0. Calculate f.
-1, 0
Let f = 335162/5 + -66595. Factor -f - 3/5*m**3 - 729/5*m - 81/5*m**2.
-3*(m + 9)**3/5
Factor 36*o**2 - 74*o + 2/3*o**3 + 112/3.
2*(o - 1)**2*(o + 56)/3
Let v(k) = -3*k + 127. Let l be v(41). Let f be l/(-8) - (-5)/2. What is w in 0 - w + 1/2*w**f = 0?
0, 2
Let o = -23268 - -23270. What is l in 4/5*l**o + 8/5*l + 4/5 = 0?
-1
Let u be 5 + -4*(-4)/(-8). Suppose -5*n = -4*n - u. Factor -6 + 6*v + 6*v**4 - 2*v**5 - 4*v**2 - 4*v**n + 4 + 0.
-2*(v - 1)**4*(v + 1)
Let u(m) be the third derivative of -m**8/168 + m**7/35 - m**6/60 - m**5/10 + m**4/6 + 315*m**2. Solve u(w) = 0.
-1, 0, 1, 2
Let q(p) be the first derivative of -p**8/840 - 2*p**7/175 - p**6/25 - 4*p**5/75 - 5*p**2/2 - 2. Let z(l) be the second derivative of q(l). Factor z(g).
-2*g**2*(g + 2)**3/5
Let j(n) = -3*n**3 + 179*n**2 - 389*n + 213. Let c(m) = -m**3 + 91*m**2 - 195*m + 105. Let x(d) = -15*c(d) + 6*j(d). Factor x(z).
-3*(z - 1)**2*(z + 99)
Let i(k) = -4*k**2 + 22*k - 8. Let b be i(5). Let y(p) be the first derivative of -1/10*p**5 - 1/2*p**4 - p**b - 1 - p**3 - 1/2*p. Factor y(w).
-(w + 1)**4/2
Let a(c) be the first derivative of 2*c**5/5 + 5*c**4/2 + 4*c**3 + 406. Factor a(s).
2*s**2*(s + 2)*(s + 3)
Find f such that -8/5*f + 1/5*f**2 + 16/5 = 0.
4
Let r(y) = 4*y - 6. Let h be r(2). Let a(c) be the first derivative of -2 - 4/9*c - 1/18*c**4 + 1/9*c**h + 4/27*c**3. Suppose a(v) = 0. What is v?
-1, 1, 2
Suppose 0 = 4*q - 15*q + 1012. Determine a, given that 2*a**2 + 99*a - 7*a**3 + 0*a**3 - q*a - 2 = 0.
-1, 2/7, 1
Let u(p) = 7*p**4 - 3*p**3 + 2*p**2 - 6*p - 6. Let i(g) = -15*g**4 + 7*g**3 - 5*g**2 + 13*g + 13. Let w(b) = -6*i(b) - 13*u(b). Factor w(j).
-j**2*(j - 1)*(j + 4)
Let d = -22 - -111/5. Let m(x) = x**3 + 6*x**2 - 5. Let j be m(1). Factor 1/5*g**j + 0 + d*g.
g*(g + 1)/5
Let o(r) be the third derivative of r**5/15 + 140*r**
|
{
"pile_set_name": "DM Mathematics"
}
|
887?
0.1
Which is the second smallest value? (a) 0.5 (b) -243 (c) -1/232
c
Which is the fourth smallest value? (a) 0.2 (b) 17278 (c) -0.1 (d) 29
b
Which is the second smallest value? (a) 6 (b) 30 (c) -0.01 (d) -923/5
c
Which is the biggest value? (a) 7 (b) -107 (c) -1 (d) -5/4 (e) 0.039 (f) 2/3 (g) 0.5
a
Which is the second biggest value? (a) -1 (b) -5635 (c) 0 (d) -44/57
d
Which is the fourth biggest value? (a) -0.4 (b) 0.5 (c) 28 (d) 8 (e) -0.14 (f) -5 (g) 27
b
Which is the fifth biggest value? (a) -1 (b) 4 (c) 0 (d) -1.94 (e) -2/29 (f) -16 (g) -5
d
What is the third smallest value in -6/23, 2/3277, 0.34?
0.34
What is the second smallest value in 0.134, 151893, 4, 1.4?
1.4
What is the second smallest value in 2, -0.5, 3, -5095, -0.2, -5, 105?
-5
Which is the smallest value? (a) -44 (b) -1/237 (c) 129/2 (d) -0.1
a
Which is the third smallest value? (a) -196413 (b) 1 (c) -9/2
b
What is the biggest value in 2, 0.0563, 0.26, 2/9?
2
What is the biggest value in -131, -3/7, 62/11, 0.4?
62/11
What is the third smallest value in -2/7, 0.5, 5, -3/7, -1, 1248, -4?
-3/7
Which is the fifth smallest value? (a) 5 (b) -529 (c) -2/19 (d) 10 (e) -0.5 (f) 180
d
Which is the third biggest value? (a) 3 (b) 5 (c) -327126/1061
c
Which is the fourth smallest value? (a) -4 (b) 25/18088 (c) 10/27 (d) 5
d
What is the seventh biggest value in -14, -5/2, 2/9, 26, 0.01, -3, 2/165?
-14
What is the second smallest value in -3, 2/13, 1, -1/37, -7, -1?
-3
What is the third smallest value in 4, 0.2, -0.2, 2124, -1/3, -2/113, -3?
-0.2
What is the biggest value in 0, -6851923, 0.016?
0.016
What is the fourth smallest value in 1/3, -2/53, -1, -3/8, -2, -302?
-3/8
What is the smallest value in -2/9, -0.07, -24, -0.6, 19?
-24
What is the smallest value in -0.3, -1164991, 1/6?
-1164991
What is the sixth biggest value in 0.2, 1/4, -4, 100187, 2/3, -0.4, -4/3?
-4/3
What is the second biggest value in -3, -2/7, -85335, 3, -0.1, -6?
-0.1
Which is the second biggest value? (a) -0.2 (b) -15/14 (c) -0.80877 (d) 0.3
a
Which is the biggest value? (a) 3 (b) 1 (c) -0.19 (d) 6 (e) -5 (f) -9 (g) 2
d
What is the smallest value in -79/4, 604, 8/5?
-79/4
What is the fifth smallest value in 1/5, 0.17, -0.0349, 4, -1, 0.05?
1/5
Which is the fifth biggest value? (a) -2 (b) -1/3 (c) -3 (d) 0.11 (e) -2989 (f) 1
c
Which is the third smallest value? (a) 26099 (b) 3/8 (c) 4/3
a
What is the third biggest value in 52843, 0.05, -494?
-494
Which is the third smallest value? (a) -0.3 (b) -2 (c) -12 (d) 2/9 (e) -0.23 (f) -1 (g) 4
f
Which is the second biggest value? (a) 36136728 (b) -1 (c) -0.2 (d) -0.3
c
What is the second biggest value in -2/5, -19, -8.9, 4, -8, -0.8, -0.3?
-0.3
What is the fifth smallest value in -1.8, -41, 1/159, 0.2, 5/2?
5/2
What is the third smallest value in 32711/13, -0.5, -0.3?
32711/13
Which is the fourth smallest value? (a) -12 (b) -4018 (c) 1/6 (d) 1/3 (e) -0.7
c
What is the smallest value in 203, -2775/8, -0.6?
-2775/8
What is the second smallest value in 4, -8.887, -26.4?
-8.887
Which is the second smallest value? (a) -0.05 (b) 2/551 (c) 12 (d) 18/5
b
Which is the third smallest value? (a) 454 (b) -19 (c) 0.11
a
What is the fourth smallest value in -0.3, -1008, -0.9, 4, 0.3, 4/3?
0.3
Which is the second smallest value? (a) 12/5 (b) 2 (c) -5/3 (d) -51/4 (e) 29.5
c
What is the fifth smallest value in 165, -3, 5, -2/105, -5, 5/6?
5
What is the second biggest value in -12784, 544/9, -4?
-4
Which is the second biggest value? (a) -0.1 (b) 13/2998 (c) -100
a
Which is the second biggest value? (a) 1353200 (b) -2/17 (c) -76
b
What is the biggest value in 819, 122, 2/5?
819
Which is the fifth biggest value? (a) 274 (b) -5/3 (c) -13 (d) 0.7 (e) -26
e
Which is the fifth smallest value? (a) -2 (b) 1 (c) 1016 (d) -5 (e) -1899
c
Which is the biggest value? (a) -3 (b) 0.076 (c) 132997
c
Which is the second smallest value? (a) 2 (b) -0.16 (c) -4.874 (d) 2/5
b
What is the sixth smallest value in 3/4, -0.1, -0.4, 5348, 3, 2/5, 5/3?
3
What is the third smallest value in 16, 16.7, -109, -2/19?
16
What is the smallest value in -1/2, -2/7, -16395.342, 0.3?
-16395.342
What is the fourth biggest value in 4, 4/5, -21, -0.4, 0.
|
{
"pile_set_name": "DM Mathematics"
}
|
791*n**2. Suppose p(j) = 0. Calculate j.
-1/4, 36
Let r(v) be the first derivative of v**7/14 - 3*v**6/10 - 3*v**5/4 + 3*v**4/4 + 2*v**3 + 50*v + 70. Let f(u) be the first derivative of r(u). Solve f(z) = 0.
-1, 0, 1, 4
Let r(n) = 95*n + 3518. Let z be r(-37). Let u(f) be the first derivative of -4/3*f**z + 2*f**2 + 8*f - 19. Solve u(p) = 0 for p.
-1, 2
Solve -156*w - 4*w**3 - 4*w**5 + 16*w + 148*w**3 - 136*w**4 + 0*w**4 + 136*w**2 = 0.
-35, -1, 0, 1
Let z(s) be the first derivative of s**5/72 - 25*s**4/12 + 125*s**3 - 6*s**2 + s + 35. Let p(i) be the second derivative of z(i). Factor p(u).
5*(u - 30)**2/6
Let p(l) be the third derivative of 7*l**2 + 23/60*l**4 - 1/100*l**6 + 2/5*l**3 + 0 - 3*l + 7/75*l**5. Let p(s) = 0. Calculate s.
-1, -1/3, 6
Suppose -k**2 + 182 + 29*k - 65*k - 53*k = 0. Calculate k.
-91, 2
Let g be 23/1173*-6 + (-2508)/(-510). Suppose 4/5*u**5 + 28/5*u**2 + g*u - 12/5*u**3 + 0 - 12/5*u**4 = 0. Calculate u.
-1, 0, 2, 3
Let f(q) be the first derivative of -q**2 - 1/3*q**3 + 51 + 0*q. Solve f(k) = 0 for k.
-2, 0
Let v(b) be the second derivative of -b**5/4 - 95*b**4/12 + 160*b**3/3 - 110*b**2 - 858*b. Suppose v(l) = 0. Calculate l.
-22, 1, 2
Suppose -73*t = -4*m - 68*t - 17, -2*m = t - 9. Let y(k) be the first derivative of -1/8*k**4 + 0*k - 1/6*k**3 + 0*k**m + 15. Solve y(d) = 0.
-1, 0
Let x(w) = 20*w - 240. Let z be ((-24)/(-10))/(14/(-280)*-4). Let r be x(z). Factor 0*m + 2/9*m**3 + 2/9*m**4 + r*m**2 + 0.
2*m**3*(m + 1)/9
Let g be 4/(-42) + (-4571)/(-147). Suppose 2*b**2 - 3*b + b + 3*b + 2*b + 30*b**3 - g*b**3 = 0. Calculate b.
-1, 0, 3
Let j(f) be the second derivative of f**6/30 - 11*f**5/15 + 13*f**4/3 - 32*f**3/3 + 14*f**2 + 2*f - 3. Let n(l) be the first derivative of j(l). Factor n(u).
4*(u - 8)*(u - 2)*(u - 1)
Let r(f) = -6*f**3 + 578*f**2 - 15120*f + 132214. Let g(p) = -3*p**3 + 291*p**2 - 7560*p + 66108. Let d(z) = -11*g(z) + 6*r(z). Factor d(s).
-3*(s - 36)**2*(s - 17)
Let w(l) be the first derivative of -5/3*l**3 + 1/5*l**5 - 1/4*l**4 + 0*l - 3/2*l**2 + 88. Determine u, given that w(u) = 0.
-1, 0, 3
Let i(d) be the first derivative of -d**5/25 - 9*d**4/10 + 139*d**3/5 + 217*d**2/5 + 5310. Find c, given that i(c) = 0.
-31, -1, 0, 14
Let q be 40/1*((-3)/(-28) + 0/3). Factor 2/7*c**3 + 18/7*c**2 - 50/7 + q*c.
2*(c - 1)*(c + 5)**2/7
Let z(f) be the third derivative of -f**5/160 + 9*f**4/8 + 225*f**3/16 - 41*f**2 + 13. Factor z(n).
-3*(n - 75)*(n + 3)/8
Let a(l) be the third derivative of -l**5/20 + 779*l**4/4 - 606841*l**3/2 - 22*l**2 + 2*l + 3. Find n such that a(n) = 0.
779
Let r(i) be the second derivative of 1/5*i**5 - 1/3*i**4 + 0*i**2 + 11*i - 1 + 0*i**3 - 1/30*i**6. Factor r(n).
-n**2*(n - 2)**2
Let f = 64 + -58. Suppose -3*q + 5*v + 37 = 0, f*q + 21 = 10*q - v. Factor -16*y**3 - 20*y**2 + 3*y**4 - 2*y**q - 2*y**4 - 3*y**4 - 8*y.
-4*y*(y + 1)**2*(y + 2)
Let l = 199 + -202. Let p(o) = -o**2 + 7*o - 6. Suppose -q - 12 = 9. Let u(b) = -b + 1. Let i(t) = l*p(t) + q*u(t). Factor i(w).
3*(w - 1)*(w + 1)
Determine v, given that -26/3*v**5 - 8/3*v - 36*v**4 - 146/3*v**3 - 24*v**2 + 0 = 0.
-2, -1, -2/13, 0
Let g = 357 + -355. Factor 2*h + 6*h**2 + 32*h**2 - 4 - 36*h**g.
2*(h - 1)*(h + 2)
Let t = 661068 - 2644271/4. Factor 1/2 - t*f**2 + 1/4*f.
-(f - 2)*(f + 1)/4
Let a be 7/((-14)/(-8)) + -2. Let w(t) be the first derivative of -4*t - t**a - 10 + 9*t - 2*t**2 - t**3 + 4*t. Suppose w(j) = 0. Calculate j.
-3, 1
Let l(d) = d**2 - 28. Let a = -43 + 29. Let x be l(a). Factor -132*z + x*z + 2*z**2 - 4 + 166.
2*(z + 9)**2
Let o(x) be the second derivative of x**5/4 - 5*x**4/2 - 40*x**3/3 + 3364*x. What is n in o(n) = 0?
-2, 0, 8
Let a(k) be the second derivative of k**6/6 + 29*k**5/2 - 430*k**4 + 11375*k**3/3 - 17885*k**2/2 - 9155*k. Factor a(x).
5*(x - 7)**2*(x - 1)*(x + 73)
Suppose -3*l = -3*o - 1732 + 1708, -4*o - 8 = 4*l. Suppose -5*r + 12 = 2. Let -1/4*x - 1/4*x**l + 0 + 1/2*x**r = 0. Calculate x.
0, 1
Let t(z) be the second derivative of z**6/75 - 12*z**5/5 - 131*z**
|
{
"pile_set_name": "DM Mathematics"
}
|
8 + 2/18. Is p/(-5) - 8/40 a composite number?
True
Is 1109 - (-12)/(-8)*(-20)/15 composite?
True
Suppose 0 = c - 118*x + 113*x - 1262940, 0 = 5*c + 4*x - 6314555. Is c prime?
False
Suppose 1640935 = 38*l - 1173763. Is l composite?
False
Suppose -5*x + 183123 = 4*c - 11500, -4*c = -3*x - 194567. Is c composite?
False
Suppose 4*q = 1397*j - 1399*j + 420058, -j = -2*q + 210023. Is q prime?
False
Let o(j) = -2*j - 4. Let l be o(-5). Let i = 34 + 31. Let p = i - l. Is p composite?
False
Suppose 4*r - 5*x + x = 16, 0 = 4*x. Let u be 10*r/16*-2. Let k(v) = v**3 + 5*v**2 - 9*v - 8. Is k(u) composite?
False
Let g = -9345 - 5074. Let t = 31736 + g. Is t a prime number?
True
Suppose -3*z + 3*n + 5540 = 2*z, -3*z + 5*n = -3340. Suppose -92*m - z = -97*m. Is m composite?
True
Let p(r) = -242*r - 779. Is p(-24) a prime number?
False
Let c(k) = -k**3 + 7*k**2 - 7*k - 8. Let b be c(5). Suppose -b*d + 8 + 76 = 0. Is 2159/2 + 18/d a prime number?
False
Let h = 21577 + 5434. Is h a prime number?
True
Is 1/(-5)*(10 - (-433260)/(-4)) a prime number?
True
Let j = 117 + -116. Suppose -2*y = 5*h + j, y - 11 = 5*h - 4. Is 651 - (1 + 4 + h + 0) a prime number?
True
Suppose 5*q - 10611 = -2356. Suppose -2*b = 308 + 40. Let h = b + q. Is h a composite number?
True
Suppose 2*y + 23*y - 2862000 = 48925. Is y prime?
True
Let u be ((-76)/(-10))/(-2) + (-3)/15. Let j be ((-14812)/14)/(2/u). Let n = j - 21. Is n a prime number?
False
Suppose c = 5*n - 81050, 3*n = 5*n + 4*c - 32420. Suppose -7*t + 3110 = -n. Suppose -6*v + t = 822. Is v prime?
False
Suppose -2*j = 5 - 9. Suppose 5*q - 3*p = 1047, -5*q - j*p = 3*p - 1055. Suppose -6*f + 1368 = -q. Is f composite?
False
Suppose -58*d + 1392944 = -42*d. Is d prime?
False
Let w(f) = 17*f - 64. Let r(u) = u + 41. Let t be r(-28). Is w(t) a composite number?
False
Is (1552912/(-32))/((-2)/6*45/30) a prime number?
False
Let b = 1888 + -79. Let a = b + -732. Is a composite?
True
Let n(w) = 83*w**3 + 3*w - 1. Let u be n(2). Let v be (559 - -165)/(1 - -1). Let g = u - v. Is g a prime number?
True
Suppose 12*x = 16*x + 28. Let r be (11 + 0 - 4/(-4))*x. Let u = 229 + r. Is u prime?
False
Let y(v) = -v + 19. Let a be 30/75 + 68/5. Let g be y(a). Suppose w + g*k = 100, 26 + 411 = 5*w + 4*k. Is w prime?
False
Let h(b) = 6*b**2 + 4*b + 29. Suppose -2*t - 2*g + 33 - 1 = 0, 6 = t + 3*g. Suppose -t*p + 28 = -23*p. Is h(p) composite?
True
Let w(q) = 375*q**2 + 69*q - 265. Is w(17) a composite number?
True
Let n(a) = -2*a**2 - 9*a + 2. Suppose 69 = g - 2*g. Let v = 65 + g. Is n(v) composite?
True
Let w(n) = 81*n**3 - 7*n**2 + 20*n - 119. Is w(6) prime?
False
Let j = 9 - 4. Suppose -2 = -7*l + j. Is (l - 6/8)*508 composite?
False
Let u be ((-107 - 0)*-1)/((-44)/308). Let c be 3544/(-11) - 4/(-22). Let k = c - u. Is k a composite number?
True
Let u(y) = 3*y + 6 + 4*y**3 + 10*y**3 - 13*y**3 + 5*y**2 - 1. Is u(10) a composite number?
True
Let m be (-4)/2 - -11 - 4. Let g(b) = -469*b + 5. Let v be g(m). Let h = 3281 + v. Is h prime?
True
Is (-648)/360 - (-548654)/5 a prime number?
False
Let h = 66132 + -24531. Let u = -27790 + h. Is u prime?
False
Let y = 201 + -192. Suppose y*b - 304111 = -84880. Is b composite?
False
Suppose -p + 1 = 0, 0 = c - 0*c + 2*p - 18. Suppose -c*j = -4*j - 60. Suppose 0 = j*i + 2*i - 665. Is i a composite number?
True
Let i be (6*15/20)/((-3)/(-2)). Let s be (3828/14)/((-5)/(i + -38)). Suppose 4*y + 406 = s. Is y composite?
True
Let i = -19 - -15. Is (-1933)/(-4) + -4 - i/(-16) prime?
True
Let p = -20441 + 115504. Is p prime?
True
Suppose -37*w + 39*w = -2*m + 17878, -w - 3*m + 8947 = 0. Is w a composite number?
True
Let p(f) = -2*f**2 + 22*f + 13. Let c be p(9). Suppose -c*w = -45*w - 26188. Is w prime?
True
Let a = 31 - 20. Let k be (a - -3)/((-6)/3). Is (-4292)/k - (-2 - 120/(-56)) composite?
False
Let d(b) = -12*b + 154. Let g(k) = 13*k - 155. Let f(s) = 4*d(s) + 3*g(s). Is f(4) a composite number?
True
Let j = 11051 + 26411. Is j prime?
False
Suppose 4*o + 104 = -9*o. Let q(b) = b**3 + 8*b**2 - 5*b - 33. Let v be q(o). Suppose 4985 = v*g + 1198. Is g a composite number?
False
Let p = 328 + -641. Let h = p - 308. Let s = -436 - h. Is s prime?
False
Let b = 7317 - 15166. Let m = -4254 - b. Is m composite?
True
Let u be ((-2 + -10)/2)/(-2 - 0). Let s be 0/(12/u) + 2. Is (-9374)/(-12) + s/(-12) composite?
True
Let o = 812 - 504. Let j = -117 + o. Is j composite?
False
Let h be (-146)/(-24) - (-6)/(-72). Suppose 11561 = n + 4*u, 0 = -3*n - 8*u + h*u + 34653. Is n prime?
True
Is (4385387/(-115) - (-1 - -9))*-5 a composite number?
False
Let b = 11773 + -17936. Let m = b - -12316. Suppose -3*i + 0
|
{
"pile_set_name": "DM Mathematics"
}
|
culate prob of sequence zhe when three letters picked without replacement from hzzehzb.
1/35
Three letters picked without replacement from {u: 3, h: 2, k: 4, x: 1}. What is prob of sequence xuu?
1/120
Two letters picked without replacement from ggbggggbnbnbgggbggg. What is prob of sequence bg?
10/57
What is prob of sequence jt when two letters picked without replacement from {q: 1, j: 2, y: 1, t: 1, x: 2, f: 7}?
1/91
Two letters picked without replacement from ajzoazjjojoouzooj. What is prob of sequence aj?
5/136
What is prob of sequence rxf when three letters picked without replacement from ufxwqrf?
1/105
What is prob of sequence le when two letters picked without replacement from llelsellslllssls?
3/40
Three letters picked without replacement from tmmmmtmmmmmt. Give prob of sequence tmt.
9/220
What is prob of sequence uua when three letters picked without replacement from atoasoouugossusga?
3/680
Calculate prob of sequence hz when two letters picked without replacement from {h: 18, z: 1}.
1/19
Three letters picked without replacement from rcrrc. What is prob of sequence rrc?
1/5
Three letters picked without replacement from cxxxgsxxxsiixsxxxic. What is prob of sequence cci?
1/969
Four letters picked without replacement from gbzgnzghhmmmmg. What is prob of sequence mzhh?
2/3003
What is prob of sequence xxx when three letters picked without replacement from {x: 11, k: 3}?
165/364
Calculate prob of sequence ii when two letters picked without replacement from {x: 1, q: 2, s: 3, i: 6}.
5/22
Two letters picked without replacement from uyssusylypypslssu. Give prob of sequence ul.
3/136
Two letters picked without replacement from {y: 1, j: 1, f: 1}. Give prob of sequence yf.
1/6
Two letters picked without replacement from lnriz. Give prob of sequence ir.
1/20
Four letters picked without replacement from {z: 2, g: 3, r: 12}. Give prob of sequence zrrr.
11/238
What is prob of sequence mtnt when four letters picked without replacement from nntncntttnmt?
5/594
Four letters picked without replacement from jjhjhsjhjjhsjjjhh. What is prob of sequence jhsj?
9/595
Calculate prob of sequence ttt when three letters picked without replacement from {t: 9}.
1
Three letters picked without replacement from tedeqeseeedseaeeeeee. Give prob of sequence det.
13/3420
Three letters picked without replacement from {p: 2, a: 5, i: 2}. Give prob of sequence api.
5/126
Three letters picked without replacement from {c: 6, w: 4, o: 3, z: 1}. What is prob of sequence wcc?
5/91
Three letters picked without replacement from {u: 4, h: 8, z: 1}. Give prob of sequence uuu.
2/143
Three letters picked without replacement from {t: 2, z: 1, o: 2}. What is prob of sequence ozo?
1/30
Calculate prob of sequence veet when four letters picked without replacement from {t: 6, v: 4, j: 1, e: 2}.
2/715
Three letters picked without replacement from {y: 2, l: 2, o: 5}. Give prob of sequence oyo.
5/63
Four letters picked without replacement from ekekkekskkkwekwwsk. Give prob of sequence wess.
1/3060
Three letters picked without replacement from {h: 12, l: 3, k: 4, b: 1}. What is prob of sequence khl?
2/95
Four letters picked without replacement from {l: 3, w: 5}. Give prob of sequence wwll.
1/14
What is prob of sequence pz when two letters picked without replacement from zmmmzmmzp?
1/24
What is prob of sequence ccc when three letters picked without replacement from wkccwcc?
4/35
Four letters picked without replacement from diidi. Give prob of sequence idii.
1/10
Three letters picked without replacement from {i: 1, h: 7}. What is prob of sequence iih?
0
Two letters picked without replacement from qqqqqrqqqqqggqqqg. What is prob of sequence qq?
39/68
Calculate prob of sequence yyky when four letters picked without replacement from kyyyk.
1/10
Four letters picked without replacement from bmmbmhpbbmmybmmbm. What is prob of sequence bmhp?
1/1190
Three letters picked without replacement from {x: 1, o: 7, r: 5}. Give prob of sequence rrx.
5/429
Four letters picked without replacement from {k: 5, v: 5, c: 3}. What is prob of sequence vkcv?
5/286
Calculate prob of sequence jooo when four letters picked without replacement from {l: 4, o: 8, k: 3, b: 1, j: 3}.
7/646
Calculate prob of sequence xy when two letters picked without replacement from {l: 4, y: 1, u: 1, g: 1, x: 2}.
1/36
Four letters picked without replacement from yyyyyyyynnyyyynnyyyy. What is prob of sequence yyny?
112/969
Three letters picked without replacement from wwnnvxwwvxuxuwwu. What is prob of sequence wnx?
3/280
Calculate prob of sequence urru when four letters picked without replacement from rurru.
1/10
Four letters picked without replacement from kkkkkdkkdkdkkkkkdkdk. What is prob of sequence kdkk?
455/3876
What is prob of sequence yuu when three letters picked without replacement from {e: 2, i: 2, j: 2, u: 5, y: 2}?
10/429
Calculate prob of sequence ctz when three letters picked without replacement from {c: 2, t: 7, z: 2}.
14/495
Three letters picked without replacement from {w: 7, b: 12}. What is prob of sequence wbw?
28/323
What is prob of sequence da when two letters picked without replacement from adwswdvpp?
1/36
Three letters picked without replacement from oaloqmu. What is prob of sequence moa?
1/105
What is prob of sequence tu when two letters picked without replacement from {p: 1, u: 11, c: 1, r: 1, t: 4, n: 1}?
22/171
Four letters picked without replacement from {y: 1, q: 2, l: 2, v: 4}. What is prob of sequence qlvy?
1/189
Four letters picked without replacement from kkrmmkwwrrrswmwwmwrm. What is prob of sequence smwr?
5/3876
Calculate prob of sequence csss when four letters picked without replacement from {s: 5, c: 7, h: 2}.
5/286
Calculate prob of sequence ppp when three letters picked without replacement from pppiiiipiiippiippiip.
7/95
Two letters picked without replacement from nrxrrrxrxrx. What is prob of sequence xr?
12/55
Four letters picked without replacement from nnnknnpvvvnpnp. Give prob of sequence nvvv.
1/572
What is prob of sequence qk when two letters picked without replacement from kqkkqqqkqqq?
14/55
Calculate prob of sequence ncgw when four letters picked without replacement from hgnccgw.
1/210
Three letters picked without replacement from {d: 7, q: 3, m: 1, y: 1}. Give prob of sequence dqy.
7/440
Four letters picked without replacement from {g: 5, c: 3, d: 2, u: 2, r: 3}. What is prob of sequence drdc?
1/1820
Four letters picked without replacement from rdeard. Give prob of sequence rrar.
0
Calculate prob of sequence qh when two letters picked without replacement from wqhwghnbgggh.
1/44
Three letters picked without replacement from {h: 7, w: 1, i: 1, d: 2, f: 5}. Give prob of sequence fdi.
1/336
Three letters picked without replacement from vpbppbpypppbppybp. What is prob of sequence vpb?
1/102
Two letters picked without replacement from ffffagkgfffhfffff. Give prob of sequence kg.
1/136
Three letters picked without replacement from {e: 4, g:
|
{
"pile_set_name": "DM Mathematics"
}
|
ent from uqqvopovppvuuuvuvq?
5/102
Four letters picked without replacement from {a: 6, s: 3, o: 4}. What is prob of sequence assa?
3/286
Four letters picked without replacement from {n: 2, j: 6, k: 11}. What is prob of sequence jnkn?
11/7752
Three letters picked without replacement from {e: 7, j: 5, w: 1, y: 3, g: 2}. What is prob of sequence yyg?
1/408
Four letters picked without replacement from kkkkkk. What is prob of sequence kkkk?
1
Three letters picked without replacement from {c: 2, f: 16}. Give prob of sequence fff.
35/51
Two letters picked without replacement from {d: 1, v: 19}. Give prob of sequence vd.
1/20
What is prob of sequence jj when two letters picked without replacement from {n: 2, t: 8, j: 8}?
28/153
Four letters picked without replacement from yccecce. Give prob of sequence yccc.
1/35
What is prob of sequence rddq when four letters picked without replacement from rqdddpoddq?
1/126
Calculate prob of sequence iiii when four letters picked without replacement from {i: 14, z: 1}.
11/15
Calculate prob of sequence nnnd when four letters picked without replacement from yuynnynudndnnkyknykk.
7/1938
Two letters picked without replacement from {h: 1, q: 4, u: 2, d: 3, k: 2, g: 3}. Give prob of sequence dd.
1/35
Four letters picked without replacement from {p: 6, h: 3, k: 3, a: 4, w: 1, u: 2}. What is prob of sequence phwa?
1/1292
Three letters picked without replacement from hyysgyb. What is prob of sequence ghh?
0
Four letters picked without replacement from {r: 4, x: 16}. Give prob of sequence xrrr.
16/4845
Calculate prob of sequence rrrl when four letters picked without replacement from {l: 15, r: 5}.
5/646
What is prob of sequence mo when two letters picked without replacement from {m: 1, k: 2, s: 1, n: 2, o: 2, i: 1}?
1/36
Calculate prob of sequence hu when two letters picked without replacement from uuuuuuhuhuhuuu.
33/182
Calculate prob of sequence dbuu when four letters picked without replacement from udubbbu.
3/140
What is prob of sequence xxk when three letters picked without replacement from ulkluxlxukkuukuuk?
1/408
Four letters picked without replacement from brxaerb. Give prob of sequence ebra.
1/210
Calculate prob of sequence yzu when three letters picked without replacement from {z: 1, y: 1, u: 1}.
1/6
Two letters picked without replacement from {a: 5, d: 11, c: 3, q: 1}. What is prob of sequence dc?
33/380
Three letters picked without replacement from {f: 1, j: 1, g: 5, c: 4}. Give prob of sequence ggf.
2/99
What is prob of sequence zd when two letters picked without replacement from tttlltzdtytd?
1/66
What is prob of sequence bb when two letters picked without replacement from orvbrobrovoo?
1/66
What is prob of sequence bf when two letters picked without replacement from {b: 1, f: 4, y: 2}?
2/21
What is prob of sequence llll when four letters picked without replacement from llllllllll?
1
What is prob of sequence xyx when three letters picked without replacement from xxyyyyyyy?
1/36
Calculate prob of sequence nzh when three letters picked without replacement from {d: 5, h: 3, z: 1, n: 4}.
1/143
Calculate prob of sequence cic when three letters picked without replacement from {l: 2, o: 4, i: 2, c: 4}.
1/55
Two letters picked without replacement from {p: 1, b: 2, s: 4, k: 1}. Give prob of sequence ps.
1/14
Calculate prob of sequence ii when two letters picked without replacement from riiriiiiiiirir.
45/91
Calculate prob of sequence leol when four letters picked without replacement from lklerlekkool.
2/495
Two letters picked without replacement from {d: 4, m: 3, o: 1, z: 1, g: 2}. What is prob of sequence og?
1/55
Calculate prob of sequence jj when two letters picked without replacement from {s: 1, j: 3}.
1/2
Four letters picked without replacement from bbbbbbbbbb. What is prob of sequence bbbb?
1
Calculate prob of sequence ec when two letters picked without replacement from icieceiueiceeceueeue.
9/95
Calculate prob of sequence pb when two letters picked without replacement from {w: 1, d: 1, k: 1, p: 1, b: 5}.
5/72
Calculate prob of sequence wm when two letters picked without replacement from {m: 2, j: 3, v: 1, w: 1}.
1/21
Three letters picked without replacement from zafzzzaafaazannzfaa. Give prob of sequence naa.
56/2907
Two letters picked without replacement from {l: 4, q: 2, a: 3, e: 4, r: 1, d: 3}. What is prob of sequence la?
3/68
Two letters picked without replacement from ssqsssqqsss. Give prob of sequence qq.
3/55
Four letters picked without replacement from yyyy. What is prob of sequence yyyy?
1
Two letters picked without replacement from {d: 1, n: 2, g: 2}. Give prob of sequence gg.
1/10
Four letters picked without replacement from {v: 2, r: 1, f: 2, e: 1, y: 1}. Give prob of sequence eevv.
0
What is prob of sequence zwuz when four letters picked without replacement from zzzzzwzwzzzuzzzwuzuu?
26/1615
Three letters picked without replacement from {v: 1, x: 2, l: 6, m: 2, k: 3, g: 1}. Give prob of sequence lxg.
2/455
Calculate prob of sequence gcjm when four letters picked without replacement from {c: 3, u: 3, g: 4, j: 2, n: 6, m: 1}.
1/3876
Three letters picked without replacement from wuwqqsusfwwtwwtwfws. Give prob of sequence fsf.
1/969
Two letters picked without replacement from gyvgx. What is prob of sequence gg?
1/10
Calculate prob of sequence un when two letters picked without replacement from {n: 1, u: 1, i: 1}.
1/6
Two letters picked without replacement from oososs. What is prob of sequence oo?
1/5
What is prob of sequence eeqk when four letters picked without replacement from xkxxexqex?
1/1512
Four letters picked without replacement from nfnzzrzrnrrrsrn. What is prob of sequence nnrn?
2/455
Four letters picked without replacement from {g: 3, e: 5, v: 3}. Give prob of sequence eege.
1/44
Three letters picked without replacement from riiiiiir. Give prob of sequence iii.
5/14
What is prob of sequence dbd when three letters picked without replacement from {d: 12, b: 3}?
66/455
Calculate prob of sequence ximi when four letters picked without replacement from {i: 11, m: 1, x: 1}.
1/156
Four letters picked without replacement from {l: 3, d: 2}. Give prob of sequence lldd.
1/10
Two letters picked without replacement from ttitttaiiit. What is prob of sequence ti?
12/55
What is prob of sequence xlll when four letters picked without replacement from {l: 4, x: 3}?
3/35
Calculate prob of sequence gv when two letters picked without replacement from {t: 1, c: 1, v: 1, g: 1, m: 1}.
1/20
Four letters picked without replacement from ghdndnnmnhnngmdg. Give prob of sequence ndhg.
9/3640
Two letters picked without replacement from asssaaasaasss. What is prob of sequence ss?
7/26
Two letters picked without replacement from {h: 4, z: 1, t: 1, c: 3, p: 5}. Give prob of sequence pt.
5/182
Calculate prob of sequence qq when two letters picked without replacement from {k: 1,
|
{
"pile_set_name": "DM Mathematics"
}
|
.1.
-5, -0.5, 0.023, 0.1
Put 2, -2, 10, 0 in ascending order.
-2, 0, 2, 10
Put 2, -5, -2, 440 in increasing order.
-5, -2, 2, 440
Sort 2, -117, -4.
-117, -4, 2
Sort 0, -1, 3, 4, 10 in decreasing order.
10, 4, 3, 0, -1
Put -3, -1/6, -2/9, -216, 0.08 in descending order.
0.08, -1/6, -2/9, -3, -216
Sort -1/5, -0.08, -3, -5, -3/4 in ascending order.
-5, -3, -3/4, -1/5, -0.08
Sort -70, 4, -1 in decreasing order.
4, -1, -70
Put 0.5, -10, 126, 1/8 in ascending order.
-10, 1/8, 0.5, 126
Put -31, -1, -17 in ascending order.
-31, -17, -1
Put 2, -2, 5, 51 in ascending order.
-2, 2, 5, 51
Sort 8, -11, -5, -27 in decreasing order.
8, -5, -11, -27
Put -3, 3, 290 in ascending order.
-3, 3, 290
Sort 5, -23, -4, 0 in decreasing order.
5, 0, -4, -23
Sort 6/5, 2.66, 1/3 in decreasing order.
2.66, 6/5, 1/3
Put 4, -5, 1, -2 in descending order.
4, 1, -2, -5
Sort -16, -0.21, 0.04 in decreasing order.
0.04, -0.21, -16
Put 0.5, 0.011, 4, -9 in descending order.
4, 0.5, 0.011, -9
Sort 2/7, 1/6, -1/2, 2/3 in increasing order.
-1/2, 1/6, 2/7, 2/3
Sort -3, -4, -7, 5 in descending order.
5, -3, -4, -7
Sort 3/4, -1, -2, 2/17.
-2, -1, 2/17, 3/4
Sort -1, 0, -3, -37 in ascending order.
-37, -3, -1, 0
Sort 2, -2, 50, -5.
-5, -2, 2, 50
Sort -9.9, -3/2, 0.4, 0 in increasing order.
-9.9, -3/2, 0, 0.4
Put -5, 4, 5, -37 in descending order.
5, 4, -5, -37
Put -4, -2, -425 in increasing order.
-425, -4, -2
Put 0, -204, -3, -1 in descending order.
0, -1, -3, -204
Put 1, -5, -192 in ascending order.
-192, -5, 1
Sort -144, 0.02, 1 in ascending order.
-144, 0.02, 1
Sort 3, 7, -4, 11 in increasing order.
-4, 3, 7, 11
Sort -15, 0, -1, -4 in decreasing order.
0, -1, -4, -15
Sort 3/4, -1, -21, 1/3.
-21, -1, 1/3, 3/4
Put -5, 4, 4/17, 21 in descending order.
21, 4, 4/17, -5
Put 1, -2, 2 in increasing order.
-2, 1, 2
Sort -5, 56, 2, -3 in decreasing order.
56, 2, -3, -5
Sort 1/4, -5/7, 2, 2/9, 28 in increasing order.
-5/7, 2/9, 1/4, 2, 28
Put 2/5, -0.09, 1/7 in descending order.
2/5, 1/7, -0.09
Sort -1/5, 5, -2, 0.7 in increasing order.
-2, -1/5, 0.7, 5
Put -0.5, 59, -2/13, -5 in decreasing order.
59, -2/13, -0.5, -5
Sort -5, 3, -10, 4 in decreasing order.
4, 3, -5, -10
Sort -12, 1, 2, -1, -243 in increasing order.
-243, -12, -1, 1, 2
Sort 2, 4, 126 in decreasing order.
126, 4, 2
Put -2/689, -3/5, -2, 4 in ascending order.
-2, -3/5, -2/689, 4
Sort 1, -3, -124 in decreasing order.
1, -3, -124
Put 568, -2/7, 0.26 in decreasing order.
568, 0.26, -2/7
Sort 33, 2, 0.
0, 2, 33
Put 115, 0.4, 45 in descending order.
115, 45, 0.4
Put 174, -1, -3, -5, 3 in decreasing order.
174, 3, -1, -3, -5
Put -7, -13, -2, 2 in decreasing order.
2, -2, -7, -13
Put -1, -5, -8, 4 in ascending order.
-8, -5, -1, 4
Put -6431, 2, 5, 1 in decreasing order.
5, 2, 1, -6431
Sort -2, 1/6, -0.42, -0.3 in decreasing order.
1/6, -0.3, -0.42, -2
Sort -3, 3, 483/8 in ascending order.
-3, 3, 483/8
Sort 20, 32, -3, -2, -1 in descending order.
32, 20, -1, -2, -3
Sort -6/19, 0.2, 8 in descending order.
8, 0.2, -6/19
Sort -2, -9, 153, 5 in ascending order.
-9, -2, 5, 153
Sort -2, -1, 705, 3 in ascending order.
-2, -1, 3, 705
Sort -13, 34, 2.
-13, 2, 34
Sort -2, -8, -1, 2 in decreasing order.
2, -1, -2, -8
Sort -54, -4, 2, -3 in decreasing order.
2, -3, -4, -54
Put -4, -8, -12 in decreasing order.
-4, -8, -12
Sort 8, -4, -1, -36, 2.
-36, -4, -1, 2, 8
Sort 0.1, 2/13, -0.03, -1/2.
-1/2, -0.03, 0.1, 2/13
Sort -933, 4, 0, 1 in descending order.
4, 1, 0, -933
Put -1, -5, 3, 0 in descending order.
3, 0, -1, -5
Put -2, -1, 10, -4 in decreasing order.
10, -1, -2, -4
Put -2/21, 0.16, 0.5 in ascending order.
-2/21, 0.16, 0.5
Sort -1, 1, 5, -62, 0 in decreasing order.
5, 1, 0, -1, -62
Put -1, -3/10, -13 in descending order.
-3/10, -1, -13
Sort 0, 4, -91, 5 in ascending order.
-91, 0, 4, 5
Sort -15, 3, 2.
-15, 2, 3
Sort -3, -5, 581.
-5, -3, 581
Put 5, -55, 0 in increasing order.
-55, 0, 5
Sort 46, 1/5, -5 in descending order.
46, 1/5, -5
Sort -5, -531, 4 in increasing order.
-531, -5, 4
Put 0.274, -5, -3 in ascending order.
-5, -3, 0.274
Put 5, 3, 13 in increasing order.
3, 5, 13
Put -1, 1, 30 in
|
{
"pile_set_name": "DM Mathematics"
}
|
vative of -160928257*g**6 - 4544*g**2 - 23609 wrt g.
-19311390840*g**3
Find the first derivative of -c*f**3 - 1548*c*f**2 + 2513*c*f - 2*c - 4315156*f**3 + 2*f wrt c.
-f**3 - 1548*f**2 + 2513*f - 2
Find the third derivative of 15589919*n**3*p + 20228*n**2*p + 20*n*p wrt n.
93539514*p
Find the third derivative of 9*a**2*f**3 - 4*a**2*f*r - a**2 + 23*a*f**3*r + 7*a*r + 4481*f**4*r + 2184*f**2 - 1 wrt f.
54*a**2 + 138*a*r + 107544*f*r
What is the first derivative of -17993851*i**3*j - i**2*j**2 - 2*j**2 + 94086337 wrt i?
-53981553*i**2*j - 2*i*j**2
Differentiate -p**3 - 12163*p**2 + 65*p*s - 164*s + 1629 wrt p.
-3*p**2 - 24326*p + 65*s
Find the second derivative of -24248334*h**3 + 133241771*h wrt h.
-145490004*h
What is the first derivative of 145*u**3 - 20*u**2 + 577*u + 713780?
435*u**2 - 40*u + 577
What is the third derivative of -4*k**4*v + 4505*k**4 - 47*k**3*v + k**3 - 8*k**2*v + 12*k**2 + 9929*k wrt k?
-96*k*v + 108120*k - 282*v + 6
What is the third derivative of -586537*w**3*x + 9*w**3 - 2253*w**2 + 2*w*x + 2*w - 972*x wrt w?
-3519222*x + 54
What is the third derivative of 235988*m**3*n**4*o + 35*m**3*n**4 + 174*m**3*n**2 + 4*m**3 + 54*m**2*o - 3*m*n*o + 31*n**2*o wrt n?
5663712*m**3*n*o + 840*m**3*n
Differentiate -19*k*n*y + 238986*k + 753*n**2*y - n**2 + 987*n*y**2 - 73 wrt y.
-19*k*n + 753*n**2 + 1974*n*y
Find the second derivative of -4*u**5 + 218652*u**4 + 3*u**3 + 416*u - 1663.
-80*u**3 + 2623824*u**2 + 18*u
What is the third derivative of 234*i*y**3 + 51*i*y**2 - i*y - 201*i - 35769*y**4 - 2*y**2 + 3*y - 5 wrt y?
1404*i - 858456*y
Find the second derivative of -62462363*j**3 + 15001*j + 146 wrt j.
-374774178*j
Find the third derivative of 139*r**5 + 143843*r**4 - 2*r**2 - 38*r + 39161.
8340*r**2 + 3452232*r
What is the third derivative of -1044421293*f**3 - 168*f**2 + 1448325*f?
-6266527758
Find the third derivative of 19030885*i**3 - 17289*i**2 + 735.
114185310
What is the derivative of 10029796*o**4 - 38711948 wrt o?
40119184*o**3
Find the third derivative of -25*p**2*q**3 - 4*p**2 - 77*p*q**3 - p*q**2 + 150*q**3 + 7288*q - 12 wrt q.
-150*p**2 - 462*p + 900
What is the first derivative of 609848499*f**2*i**2 + 37415002*i**2 wrt f?
1219696998*f*i**2
Differentiate -16783402*u + 8324380.
-16783402
Find the third derivative of -7*j**4*k**2 - 220424*j**4 + 11*j**2*k**2 + 417*k**2 + 31 wrt j.
-168*j*k**2 - 5290176*j
Find the second derivative of -d**3*y**2 - 2*d**3 - 252*d**2*y + 23078*d*y**2 - 102*y**2 - 5101*y wrt y.
-2*d**3 + 46156*d - 204
What is the second derivative of 13*y**3 + 279230*y**2 + 14149151*y?
78*y + 558460
What is the derivative of 2517*m**3 - m*w**2 + 2*m*w + 17*m + 3157304*w**2 + w - 3 wrt m?
7551*m**2 - w**2 + 2*w + 17
Find the second derivative of 40008704*l**4 + 26237483*l.
480104448*l**2
What is the derivative of 51318340*d*k**3 - k**3 - 509*k**2 - 3*k + 190 wrt d?
51318340*k**3
Find the third derivative of 12365631*p**3 - p**2 - 1524388*p wrt p.
74193786
What is the first derivative of -519041*q*x - 941229*q*z - 2*q + 6*x*z wrt z?
-941229*q + 6*x
Find the second derivative of 1082*k**3 + 35859*k**2 - 250490507*k wrt k.
6492*k + 71718
Differentiate 4*g**4*k**2 - 1350743*g**4 - 64893*k**2 + 181*k with respect to g.
16*g**3*k**2 - 5402972*g**3
What is the second derivative of 9833867*t**5 - 3721235*t wrt t?
196677340*t**3
What is the first derivative of -90307853*b**3 + 2*b - 248198154 wrt b?
-270923559*b**2 + 2
What is the second derivative of 289245340*l**3 + l**2 - 158688025*l wrt l?
1735472040*l + 2
Find the third derivative of -361*m**5 + 6029*m**4 - 5316563*m**2.
-21660*m**2 + 144696*m
What is the first derivative of -22539222*o**2 - 10475678 wrt o?
-45078444*o
Differentiate -3363*j**2 + 23493*j + 90654048 wrt j.
-6726*j + 23493
What is the third derivative of 1826*p**5 + 64888*p**3 - 1011*p**2 + 430*p + 131?
109560*p**2 + 389328
Find the second derivative of 230812*l**4 - 11*l**2*m**2 - l*m**2 - 5542*l*m - 2*l wrt l.
2769744*l**2 - 22*m**2
Differentiate -5*j**2 + 3891322*j - 123455195.
-10*j + 3891322
Differentiate -20*j**2 + 3437946*j + 433775409 wrt j.
-40*j + 3437946
Find the second derivative of -19*x**3 + 15582*x**2 + 9151639*x wrt x.
-114*x + 31164
What is the first derivative of 4*q**4 - 71283071*q**2*r**2 + 2*q - 209427049*r**2 - 2*r wrt q?
16*q**3 - 142566142*q*r**2 + 2
What is the first derivative of 1596*x**4
|
{
"pile_set_name": "DM Mathematics"
}
|
17. What is i rounded to the nearest ten thousand?
-3570000
Let m = -7771.513 + 5895823.513. Let g = -5888076.00000048 + m. Let d = g + 24. What is d rounded to seven dps?
-0.0000005
Let p = 16896.721 + -16869. Round p to the nearest integer.
28
Let x be 153/(-18)*(657 + 3). Round x to the nearest ten thousand.
-10000
Let p = 1421 - 1499.7. Let o = -70.87 - p. Round o to 1 dp.
7.8
Let i = -1926.3796 - -1925. What is i rounded to 2 dps?
-1.38
Let l = 504.18281874 - 510.422802. Let f = l + 6.24. Round f to six dps.
0.000017
Suppose 28 = 4*h - 0*a - 3*a, -12 = -h + 2*a. Let c(s) = s - 4. Let k be c(6). Suppose -4*i + 47 - 449 = -k*j, -3*i = h*j + 285. Round i to the nearest ten.
-100
Let q = -3.51088822 + 2.431899. Let p = -1.079 - q. What is p rounded to six dps?
-0.000011
Let l be 4*(-2)/32 - 1/(-4). Suppose l = b + 4*z - 20, -z = 7*b - 5*b - 12. Suppose -b*q = -14972 - 1708. Round q to the nearest one hundred.
4200
Let h = 1.098356446 + -1.09855. What is h rounded to 6 decimal places?
-0.000194
Let i = -1.06 - -56.06. Let y = -101 + i. Let g = y - -46.06. What is g rounded to one decimal place?
0.1
Let r = -382362 - -550367. Let u be (3 - 13 - -5) + r. Round u to the nearest one hundred thousand.
200000
Suppose 21*a - w - 11924997 = 18*a, a = -5*w + 3975015. What is a rounded to the nearest one hundred thousand?
4000000
Let k = -19 - -17.32. Let z = k - -1.597. Let n = z - -0.189. What is n rounded to one dp?
0.1
Let u = -3.62 - -8.44. Let c = -4.85135 + u. Round c to 2 dps.
-0.03
Let a = 167.82 - 169. Let n = 1.1196 + a. Round n to two dps.
-0.06
Let w = 4753.55 + -4760. Let j = -196391586 - -196391592.45000379. Let a = w + j. What is a rounded to 6 dps?
0.000004
Let c = -4144 + 4143.99743. Round c to two decimal places.
0
Suppose 10*i + 83 - 133 = 0. Let y be 9*(-1 + 634/(-2)). Let o be y/11 + i/(55/2). Round o to the nearest 100.
-300
Let p = -0.27 - -0.134. Let s = p + 0.24. Let x = s + -0.636. Round x to 1 decimal place.
-0.5
Let v = 3508.9957402 - 3509. What is v rounded to 3 decimal places?
-0.004
Let r = 233.20885 - 237.4888184. Let v = 4.28 + r. Round v to six dps.
0.000032
Let u = 22.509998059 - 22.51. Round u to seven dps.
-0.0000019
Let j = 0.2017 - 431.1017. Round j to the nearest 100.
-400
Let o = -0.606039 + 0.098749. Round o to two dps.
-0.51
Let y = -15922.0000009169 + 15922. Round y to six decimal places.
-0.000001
Let x = -0.1572 - -100.1572. Let s = 546060079.9999894 - 546059980. Let i = s - x. What is i rounded to 6 dps?
-0.000011
Let u = 302 + -300.995. Let c = u + -1.19. Let g = 0.32 + c. What is g rounded to two decimal places?
0.14
Let p(v) = 1000001*v**2 - 21. Let k be p(5). Suppose 3*n - k = 5*a + 4*n, 4999984 = -a + 4*n. Round a to the nearest 100000.
-5000000
Let j = -116.074 + 0.074. Let w = -66 - j. Let n = w + -49.99999975. Round n to seven decimal places.
0.0000003
Let r = -6.62 + -57.62. Let b = r + 65. Let n = -0.7600102 + b. What is n rounded to six decimal places?
-0.00001
Suppose 4*l + 3*j - 34379011 = 83906052, 3*l = j + 88713807. Let o = l - 20921268. What is o rounded to the nearest one million?
9000000
Let l = 13319928.47000232 + -13319928. Let x = l + -0.47. Round x to 7 dps.
0.0000023
Let x(a) = 1136675*a - 25. Let w = 93 + -90. Let d be x(w). Round d to the nearest 100000.
3400000
Let n(r) = 2201*r**3 + 6*r**2 + 23*r - 70. Suppose 4*x = -c + 35, -9 = -c + 4*x - 14. Let f be n(c). Round f to the nearest 1000000.
7000000
Let c be 460/5 + -5 - 3. Let m = 89 - c. Suppose -5*i - 5*w + 32470 = 0, 5*w = -i + m*i - 25940. Round i to the nearest 1000.
6000
Let l = 0.234117 + 5.665724. Let r = -5.9278 + 0.0278. Let j = r + l. What is j rounded to 5 dps?
-0.00016
Let l = -8888.917 + -171648063.083. Let c = 171657056.999899 + l. Let r = c + -105. What is r rounded to 5 decimal places?
-0.0001
Let c = 0.285572082 - -3665.695357918. Let m = c - 3666. Round m to three decimal places.
-0.019
Let l = -46351 + 45918.3. What is l rounded to the nearest one hundred?
-400
Let p = -47.11 + 0.07. Let v = 2510.66 + -2511. Let j = p - v. What is j rounded to the nearest 10?
-50
Let v be (-5 - (-5 + (-1651239)/18))/(3/20). What is v rounded to the nearest 1000?
612000
Let d = 19.7 - 26. Let v = d + 6.300055. What is v rounded to five decimal places?
0.00006
Let r be (-3636450024)/90 - (-12)/45. What is r rounded to the nearest 1000000?
-40000000
Let b = 299.68984181 + -299.69. What is b rounded to five decimal places?
-0.00016
Let d = -2211.56 + 2262. Let q = d + -50. Let g = q - 0.375. Round g to 2 dps.
0.07
Let t = -113 - -88.5. Let w = -22 - t. Let n = -1.8 + w. What is n rounded to 1 dp?
0.7
Let k = 0 + 0. Suppose 9*m - 6*m - w = 11, k = -4*m - 3*w + 32. Let j(g) = -3174*g - 30. Let c be j(m). Round c to the nearest 1000.
-16000
Let d = -0.683692992 - -0.6837. Round d to 7 decimal places.
0.000007
Let s be -2705*(-7408 + (-4)/2*(-6 - -2)). What is s rounded to the nearest one hundred thousand?
|
{
"pile_set_name": "DM Mathematics"
}
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.