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z + 3*n = -0*n + 23 for z.
4
Let z(w) = w**3 + 7*w**2 - w - 9. Let v be z(-7). Let c be v/11 - (-81)/(-99). Let d be (c/3)/(1/(-9)). Solve d*f + 2*f = -4*k - 3, 5*f + 30 = 5*k for k.
3
Let n be 1/2*(4 + -4). Suppose -3*u + 5*v - 10 - 7 = n, 3*u = -5*v + 23. Let s be u + (3 + -4 - 0). Solve 0 = 3*p + 3*q - q + 8, s = -5*q - 20 for p.
0
Let w be -1*(0 + 1)*-37. Let n = w - 27. Solve -5*k - 8 = -l, n = -4*k - 0*l + 2*l for k.
-1
Let b be 10/(-15)*(-78)/4. Suppose m + 2 = -b. Let a = -14 - m. Solve h = 5*t - 19, 4*t - a = -h + 7 for t.
3
Suppose 0 = 4*b - 3*a - 74, 4*b + 2*a = 7 + 57. Solve -5*c = -2*j - 21, -c - 3 = -b*j + 19*j for c.
3
Suppose -2*u = 3*d - 60, 3*d - 29 - 31 = 5*u. Suppose -6*y + d = -y. Solve -5*k - 25 = -3*j, -5 = y*k + 5*j + 15 for k.
-5
Let w(b) = -b**3 + 30*b**2 + 63*b + 67. Let v be w(32). Solve -c + 3*d = -5*c + v, 0 = 4*c - 5*d + 5 for c.
5
Let u = 14 + -9. Suppose a = u*a + 24. Let h be 3*(a/3 - -3). Solve 2*x - h*b + 24 = 7, 19 = x + 4*b for x.
-1
Let z = -562 + 567. Solve -z*h = -2*b - 23, b + 1 = -h + 7 for h.
5
Let w(s) = s - 3. Let l be w(5). Let y be ((-6)/(l + -1))/(-14 + 12). Solve 4*b + 3 = f - 0*b, y*f = 5*b + 9 for f.
3
Suppose 6*r - 4*r - 38 = -4*f, 0 = -3*f + 4*r + 12. Suppose f = -0*z + 2*z. Solve 0*k - z*o + 18 = 2*k, 3*k - 2*o = 11 for k.
5
Let w(v) = -v**2 + 6*v + 19. Let b be w(-2). Solve 0 = j + 4*r + b, -2*j + 3*r + 0 - 6 = 0 for j.
-3
Let x be ((-76)/(-57))/((-6)/(-27)*3). Solve -3*y - 8 = 5*h, -5*h - 3*y - x = -6*y for h.
-1
Let g(f) = 0*f**2 + 2*f**2 + 5*f + 3 - 7. Let h be g(-5). Suppose -2*z = -12*z + 60. Solve -16 + z = -2*r, 3*r = -2*d + h for d.
3
Let f be 0/(-13)*-2*(-1)/6. Solve -i - 9 = -f*i + 4*x, 1 = -3*i + x for i.
-1
Let p be (-81)/(-18) + 30/(-12). Solve p*w + 3 + 7 = 0, 2*a = -4*w - 20 for a.
0
Suppose 18*v - 41 = 13. Solve -5*y - 31 = v*s, -2*y + 0 = -4*s + 2 for s.
-2
Suppose 4 + 6 = 3*t - g, t = -2*g + 1. Suppose -u + 0*u + t = 0. Solve u*v + 11 = 5*n + 2*v, -2 = 2*v for n.
2
Let n = -207 - -207. Solve n = -c - 2*z + 6, -z - 2*z = -3*c - 18 for c.
-2
Suppose -3*l + 2*l + 4 = 0. Let b be (1/1)/((-5 - 2) + 8). Solve -p = b, -h - 5*p - 2 = -l*h for h.
-1
Let x(y) = -y - 12. Let k be x(-16). Let q = 25 - 48. Let d = -18 - q. Solve -k*j = 2*c + 2*c + 28, -d*j - 4*c = 33 for j.
-5
Let y be (-406)/(-21) + 4/6. Suppose 4*t - 60 = y. Suppose z + z = t. Solve -5*l - 2*j = -3, -z = l + l - 2*j for l.
-1
Suppose 0 = -2*b - 5*n + 48, -3*n = -0*b + 3*b - 72. Solve 3*m + b = 4*l, -5*m - 23 = 2*l - 9 for l.
3
Let x = 143 - 67. Suppose x = 3*u + 22. Solve -3*b = -2*b - w - 2, 3*b = -3*w - u for b.
-2
Suppose -p - 5*n + 10 = 0, 5*p - 30 = -5*n - 0*n. Solve -20 = -p*u + 5*l, 0 = -4*u + 3*l - 2*l + 16 for u.
4
Let s = 9 - 4. Suppose -41*o + 18 = -38*o. Suppose s*q = o*q. Solve -2*n - 2*z + 6 = -q*n, -4*n - z = 0 for n.
-1
Suppose 5*a + 7 = -4*b + 28, -4*a = 3*b - 16. Solve -2 + 13 = b*q + 3*u, 2*q = u + 3 for q.
2
Suppose -168*k = -148*k - 60. Solve -8*g = -10*g + k*r + 15, -r + 12 = 5*g for g.
3
Let j(m) = 65*m - 4. Let t be j(2). Let r = 129 - t. Solve r*w + a + 4*a = 31, -5*w = -2*a for w.
2
Let t(x) = x**3 + 12*x**2 + 3*x - 24. Let z be t(-11). Let m = z - 64. Solve m*c - 5*c + k = -1, -11 = c - 3*k for c.
1
Let b be 9/3 - (7/1 - 6). Solve 2*l - 14 + b = -c, c - 3*l = -13 for c.
2
Let z be (-5456)/(-930) + 5/((-75)/(-2)). Solve -5*l - 3*a = 0, -25 = -a + z*a for l.
3
Suppose -34*u - 65 = -677. Solve 0 = -5*w + 3*b - u, 4*w - 4*b = w - 13 for w.
-3
Let o = 55 - 61. Let w be (-203)/(-42) - 1/o. Solve -3*x + 0 = -2*z + 1, -w*z + 31 = 2*x for x.
3
Suppose 21 = -4*a - 43. Let l = 17 + a. Suppose 9 = 2*f + l. Solve -2*s + 4*s - 4 = 2*n, 3*n + f*s = 29 for n.
3
Suppose -4*j + 47 = 3*l - 8*l, -3*j = -5*l - 29. Suppose 4*f - j = -2*n, 5*n = -0*n - 3*f + 24. Solve 2*u - 6 = 2*x - 0*u, 2*x - n = -u for x.
0
Let k = 8 - 5. Let c(y) = -y**3 + 2*y**2 + 4*y + 1. Let w be c(k). Let r be -4*(7/w + -3). Solve 2*i - 1 = -4*h + r, 4*i - 12 = 4*h for i.
3
Suppose 7*o - 10 = 4. Let y be 144/14 - o/7. Solve -i + 3*i - 2*u - 2 = 0, -y = -5*u for i.
3
Let j be -14*5*(-20)/350. Solve -4*g - 3*z + 10 = 0, 15 = j*g + g + 5*z for g.
1
Suppose 0 = -5*j + 2*p + 9, 4*p = -p + 15. Suppose -j*q - 1 = -7. Solve -q*a + 5 = -a, -4*a = -y - 15 for y.
5
Suppose -2*m + 7*n = 3*n - 26, -4*n = 20. Let x be (-4)/(m + (0 - 3 - 2)). Solve x = 2*l + 3*v, -2*l + 13 = -5*v - 5 for l.
4
Let w be (-2)/(-4) - 66/4. Let c = -12 - w. Let s be (c/(-14))/(3/(-42)). Solve 4*l + s*t = -40, 4*l - 3*t + 2*t + 15 = 0 for l.
-5
Let s(r) = -r**3 - 4*r**2 - 4*r - 3. Let w be s(-2). Let y = 7 + w. Suppose -y*z + 0 = -20. Solve -4*v - v + 3 = -2*x, -z*x = -5*v for v.
1
Suppose 0 + 12 = 4*v. Suppose s + 5 = -4*s, -4*o = v*s + 43. Let n = o + 15. Solve -5*c - 4*d = -4, -n*c + 0 + 2 = 2*d for c.
0
Suppose 0 = 4*z - 8, -z = -2*c + 3*z - 32. Let i be (-23)/(-4) + (-3)/c. Let f = 8 - i. Solve 0 = -f*t + 8, -4*w - 4*t = -3*t - 4 for w.
0
Suppose 2*t - 16 = 16. Let b = 38 - 33. Suppose -h = -2*k + 21, b = k - 4*h - 2. Solve 0 = 4*f + 5*s - t, -5*s + s + k = 5*f for f.
-1
Let b(p) = p - 11. Let f be b(12). Let o be (-24)/12 - (-3 - f/(-1)). Solve o = i + 2*m + 14, 0 = 4*i + m + 3 + 18 for i.
-4
Suppose 3*g + 1 = 16. Let v = -67 - -69. Solve 4*k + 4*y + 8 = 0, -k - 2*y - g = -v for k.
-1
Suppose 140 = 5*m + 5*m. Suppose m*d - 112 = -0*d. Solve -3*n - 2*v - 2 = d, 2*v = -5*n - 14 for n.
-2
Let b = -29 - -36. Let s(q) = q + 23. Let o be s(-11). Let l = o - b. Solve l*y + 25 = 0, 3*y - 4 = 5*h + 1 for h.
-4
Let u(j) = -j**3 - 11*j**2 - 5*j + 12. Let z be u(-10). Let o = z + 42. Solve -4*g - 5*m = 45, g + o*m = -g - 30 for g.
-5
Let f = -5 + 10. Suppose -57 = f*o - 8*o. Solve 0 = -3*t + 4*t - 5*d + o, -2*d + 6 = 0 for t.
-4
Let r be 1*11/(33/6). Solve -a - 2*a + 3 = -h, r*h - 2 = -2*a for h.
0
Suppose -2*b - 2*c - 40 + 50 = 0, 5*c = 5*b + 5. Solve -15 = -p + 6*p + 5*s, -9 = -p + b*s for p.
1
Let t(w) = -12*w + 506. Let i be t(42). Solve -4*q - 1 = -5*p - i, -5*q + 5*p = 0 for q.
-1
Suppose -2*j - 34 + 60 = 0. Let t = -10 + j. Solve -2*l + 2 = t*h, l + 6 = 3*l + 4*h for l.
-5
Suppose 2*v = 3*w + 57, v + 58 = 3*v - 4*w. Suppose -4*h - 3*d + 51 = 0, 0 = -2*h + d + v + 6. Solve -4*y - 3*p - 5 - 20 = 0, 3*y + p + h = 0 for y.
-4
Let h be (2/3 - 134/201)*1. Solve h = n + 7*x - 9*x - 6, 0 = -2*n - 3*x - 16 for n.
-2
Suppose -2*j = -4*j + 282. Let k = 141 - j. Solve o - 3 = k, 4*c + 13 - 3 = -2*o for c.
-4
Suppose l - y + 20 = 4*y, 2*y = l + 8. Solve -4*h + 6 = h - q, l = -5*h + 3*q - 2 for h.
2
Suppose 4*j + 2*a + a - 4 = 0, -5*j - 2*a = -12. Let l = -4 - -4. Let h(q) = q. Let w be h(l). Solve -b - 2*b = j*r + 13, w = -r + b + 2 for r.
-1
Let r = 12 - 12. Suppose 2*c + 14 + 4 = r. Let q be (-38)/c + 10/(-45). Solve 3*x - 6 = -4*a, -x - a + q = a for x.
-2
Let z be 21/6 + 15/10. Suppose 3*i - 4*n - 13 - 19 = 0, -n - z = 0. Solve j - 16 = 4*o, -j + o + 19 = -i*o for j.
4
Suppose -4*z - 17 + 21 = 2*u, -z + 2 = u. Let b = 17 + 3. Solve -4*p + b = c + 2*c, z = c - 4*p + 20 for c.
0
Suppose 4*n - 48 = -4*a, -2*n - a + 36 = -5*a. Solve 4*x - n = -2*c, 2*c - 2 = 4*x - 12 for x.
3
Suppose 0 = -7*u + 104 - 13. Suppose -u*m + 54 = 2. Solve 2*l - m*l + 6 = -i, -l = -5*i + 15 for i.
4
Let b be 9/(-6)*(-8)/(-6). Let a(u) = 3*u + 6. Let w be a(b). Let h be 2/(-4) - 66/(-4). Solve 3*y = -w*y - z - 15, 0 = -y - 4*z - h for y.
-4
Suppose -159*d + 10 = -157*d. Solve -3*j - 2*m = 10, -d*j - 23 = -0*j - 3*m for j.
-4
Suppose 2*r = 7*r. Suppose -2 = -i - 6. Let g = -1 - i. Solve s + g*m = 16, r = -3*s + 5*m - 2*m - 12 for s.
1
Suppose 80*x = 76*x. Solve -4*j + 23 = 4*g + 7, x = -2*g + 2*j - 12 for g.
-1
Let b be 15/(-175)*-7*5. Solve -2*v + 9 = -q, b*q + 7*v = 2*v + 17 for q.
-1
Let k be 9*5/15 + 2. Suppose -8 = -7*q + 3*q. Solve 0 = -k*w - q*j + 24, 0*j - 3*j = 2*w - 14 for w.
4
Let h(i) = -i**3 + 10*i**2 - 12*i + 27. Let b be h(9). Solve u = 5*r - 10, b = 3*u - 3*r + 15 + 3 for u.
-5
Suppose -3*q - 2*q - 30 = 0. Suppose 0 = -18*y + 15*y + 48. Let g be (y/(-10))/(q/15). Solve -2*d + c - 1 = d, -g*c = d - 17 for d.
1
Let d be (-9)/((-810)/1960) - 4/(-18). Solve -4*j = 3*c + d, 20 = -7*j + 4*j - 4*c for j.
-4
Let q = -174 + 177. Suppose -2*r + 2*w = 3*w - 28, -5*r + 3*w + 70 = 0. Suppose q*i - r = 1
|
{
"pile_set_name": "DM Mathematics"
}
|
/13)*h*h**(2/3)*((h/(h**(-2/9)/h))/h)**(-1/8)) assuming h is positive.
h**(10841/936)
Simplify (((a/a**(1/4))/a)**(-1/14)/((a/((a**3*a)/a))/a)**14)**(-19/4) assuming a is positive.
a**(-44707/224)
Simplify (g*g**2/g*g*g*g**(-2/27)*(g/(g*g**(-3)*g*g))/(g*g**(1/2)))/(g**2/g*g**(-4/5)*(g**0)**17) assuming g is positive.
g**(871/270)
Simplify (((c**(-11/5)*c)/c)/c)/c*c**(-21/5)*c*(c*c*c**(-15/8)*c)**(-36) assuming c is positive.
c**(-479/10)
Simplify (q**(-21)/(q/q**11)*(q/q**3)/(q*(q/q**(-24))/q))**(-8/5) assuming q is positive.
q**(304/5)
Simplify q**(-1/7)/q*q**(-4)/q*q**7*(q*(q**(1/6)/q*q)/q)/q*q/(q**8*q)*q*q**(-1/3)*q*q*(q/(q/q**0))**14 assuming q is positive.
q**(-223/42)
Simplify (((x**1*x)/x)/x)/x*(x**(-5)/x)/x*x/(x*x*((x**(-4)/x)/x)/x)*x**(-1/5)*(x**(1/2))**(-7)/(x**(4/5)*x*x**(-4)*x*x) assuming x is positive.
x**(-11/2)
Simplify ((h**1/h)**(-17))**(-46)/(h**1*h*h/(h/(h*h*h**0))*h**4*h**2) assuming h is positive.
h**(-10)
Simplify ((n*n/(n**6/n*n))**39/(n**(-12/11)/(n*n/((n**(-14)*n)/n)*n)))**(-39) assuming n is positive.
n**(59163/11)
Simplify ((s*s**(1/35))/s)**(-27)/(s**(2/85)/s*s)**(-13) assuming s is positive.
s**(-277/595)
Simplify (((d*d/(d*d**(-2/17)))/d*d**21*d)/(d**(10/11)/((d**(-19)*d)/d)))**2 assuming d is positive.
d**(826/187)
Simplify ((y**0)**(-2/89))**(-47)*((y*y**(-2/21))/y**(1/4))/((y/y**(2/3))/y**(-2/3)) assuming y is positive.
y**(-29/84)
Simplify ((l/l**5*l)/(l/l**7))**(-2/7)/(l*l*l*l/(l*l**2)*l*l*l/(l**(-1/5)/l)*l*(l*l**2*l)**(-48)) assuming l is positive.
l**(6473/35)
Simplify (j/j**1)/j**0*(j/j**(-5/4))/j*(j**1*j)/j*(j*j*j**(2/3)*j*j*j)/(j**(-5)*j)*((j**2*j*j*j)/j)/(j/j**4*j) assuming j is positive.
j**(215/12)
Simplify (f**(2/5))**(-2/13)*f**24/((((f**(5/9)*f)/f)/f)/f) assuming f is positive.
f**(14849/585)
Simplify ((x/x**(4/3))/x**(-2/7))/(x**(-1/2))**(-8)*(x*x**2/x)**(10/3)/(x**(1/4)/x)**(7/9) assuming x is positive.
x**(269/84)
Simplify ((h*(h**(-1)/h)/h)**(-2/15))**14*(((h**5*h)/h)/h*h/(h**(-4)*h*h*h))/((h**(1/2)/h)/(h/(h/(h**(-3/5)/h)))) assuming h is positive.
h**(259/30)
Simplify (c**0*c)**(-6/17)*(c*c*c/c**0)**(-2/9)*(c**(2/5))**(2/19)*(c*c*c/c**1)**(7/4) assuming c is positive.
c**(24443/9690)
Simplify (c**(-6)*(((c/c**1)/c)/c*c)/c)/((c*c/c**2*c*c)/c*c**(3/2))*(((c*c**9)/c)/c**(-2/9))**(2/71) assuming c is positive.
c**(-13087/1278)
Simplify ((w*w**(-2))/w**(-2/3))/(w**0)**(-49)*(w**(1/4)/w)**(-23)*w**(-2/11)/((w/w**(-3/8))/w*w) assuming w is positive.
w**(4055/264)
Simplify ((((k**(-5)*k)/k)/(k*k**(-4/9)))/(k**(3/7)*k**(-5/4)))/((k*k**(-4/5)/k)/(k*k**(1/3))*(k/(k/k**(-1/6)))/k*k*k/(k/k**(3/4))) assuming k is positive.
k**(-1003/315)
Simplify (k**(-3/8)*k*k**(12/7))/((k*k**(-22))/k*k/k**(-2/143)) assuming k is positive.
k**(186789/8008)
Simplify ((b**5)**(-18))**46*b**(1/7)/(b*b*b/(b**(2/33)/b)*b*b)*((b/(b*b**2*b))/b)/b*b*b**(1/3) assuming b is positive.
b**(-958526/231)
Simplify ((f*f**(1/32)*f*f)/f**(-15)*(f/(f**(1/2)*f))**(-15/2))**19 assuming f is positive.
f**(13243/32)
Simplify ((l*(l**0/l)/l*l*l**3)/(l*l**2*l*l*l)**5)/(l**6*l**(-2)*l*(l*l*l/(l**2*l))**(-10)) assuming l is positive.
l**(-32)
Simplify (((((q/q**(-17))/q)/(q/(((q/(q**(-17)*q)*q)/q)/q)))**2)**(3/13))**(-9) assuming q is positive.
q**(-1728/13)
Simplify ((m**(2/5))**(-28)/(m*m/(m*m/(m*m**(-3)*m)))**(-2/13))**(-32) assuming m is positive.
m**(23616/65)
Simplify (x**(-1/9))**(2/5)*x/(x*x*x*x**(-19/5)*x)*x**(-1/23) assuming x is positive.
x**(737/1035)
Simplify p**(3/5)/(((p**6*p)/p)/p)*(p**1)**(6/31)*((p/(p**(1/2)/p))/(p**(-1/6)*p*p))/(p/(p/(((p/(p/(p*p/p**7*p))*p)/p*p)/p))*p**(-2/11)) assuming p is positive.
p**(-1831/5115)
Simplify ((((o/o**(-39))/o*o*o**18)**(-35))**(-34))**(-16) assuming o is positive.
o**(-1104320)
Simplify (q**0*(q**(-8/5)/q)/q*q*(q**(-20))**(-10))**3 assuming q is positive.
q**(2961/5)
Simplify ((c**(2/3))**(-5/6))**(-41)/((c/(c*c*c*c**(-2)/c*c*c)*c)**(-4)*(c/(c/((c/(c*c**(-4)))/c)))/(c*c/(c**(-2/3)*c*c))) assuming c is positive.
c**(184/9)
Simplify (r**1/r**(-1))**2/((r**1/r)/(r*r*((r**5/r)/r)/r*r*r)*r**6*r*r**(-1)) assuming r is positive.
r**4
Simplify (((j*j**0/j*j*j)/j)**(-2/11)*(((j**(-1/7)*j)/j)/j)/(j**(18/7)*j))**(-1/36) assuming j is positive.
j**(377/2772)
Simplify ((t**(-1/26)*t*t)**41/(t**(-17)/t*t*t**7))**(-16/7) assuming t is positive.
t**(-18808/91)
Simplify (((y**(-3/4)/(y*(y**(-3)/y)/y))/(y**0*y*y)**(6/19))**49)**(-8/7) assuming y is positive.
y**(-2786/19)
Simplify ((r*r**(-2/9)*r)/(r*r/(r*r/((r**(-4)*r)/r)*r)))/(r/r**0*r)**(1/17)*((r*r/(r*r**2)*r)/r)/(r*r**(-4))*r**(3/2)*r**(-6)*r*r assuming r is positive.
r**(1885/306)
Simplify (y*y*y/(y/(y**1/y*y)))**49*y**0/(y*y*y/(y/y**(6/7))*y)*((y**(-1)/y)/(((y**(-3/5)*y)/y)/y))/(y**(-1))**(-2) assuming y is positive.
y**(4926/35)
Simplify (((x*x*x/(x/((x/(x*x**(1/2))*x)/x)*x))/x*x*x)/x)**(2/9)*(x*x**(-2/7))**(-18)*((x*x**(-2/5))**(-2/87))**(-1/5) assuming x is positive.
x**(-582049/45675)
Simplify ((w/(((w/w**(9/11))/w)/w)*w)/w**(2/11))/(w*w**25)**(-39) assuming w is positive.
w**(11194/11)
Simplify (d**5*d**(-2))**(-16/11)*(d**2*d*d**(-8))**(1/16) assuming d is positive.
d**(-823/176)
Simplify ((i/(i*i**(1/2)*i))**(8/9)/(i**(2/3)*i)**45)/(((i**(1/2)/i)/i)**(-1/9)*(i*i/i**(-2))**(10/19)) assuming i is positive.
i**(-2987/38)
Simplify ((i/i**(-2/13)*i**(1/2))/(i**(-2/9))**(-12))**(-38) assuming i is positive.
i**(1501/39)
Simplify ((g/((g/(g**(-13)*g))/g*g))**(-46)*g**(2/39)/g**1)**32 assuming g is positive.
g**(687712/39)
Simplify ((j**(1/2)/j*j)/j**(-1/6))/((j*j**6)/(j**(1/6)/j))*((j**(-2/13)/j)/j*j/(j/(j/j**(-8))))/(j*j/(j*j**1))**(-22) assuming j is positive.
j**(-25/78)
Simplify v*v/(v/((v/((v*v**(2/15))/v))/v))*v**(1/23)/v*v*v*(v/v**(-5/6)*v)/v*v*v*v**(-43) assuming v is positive.
v**(-8569/230)
Simplify j**(-35)*j*j**(-2/9)/j*(j*(j/(j*j/j**(-4)*j))/j*j)**37 assuming j is positive.
j**(-1982/9)
Simplify (y**(-2/3))**13*((y**2*y)/y)**(-2/15)*(y**(1/3)*y**12*y)**(-11) assuming y is positive.
y**(-778/5)
Simplify s/s**2*s*s/(s*s**(-2/5))*(s*s/(s/s**7))/s**(-7)*((s*s/s**10)/(s*s**(-2/7)/s))**(1/5) assuming s is positive.
s**(97/7)
Simplify ((b/b**(-14)*b*b*b**(3/14)/b*b*b)/(b**(-8)/b)**(-30))**(15/7) assuming b is positive.
b**(-52875/98)
Simplify (m**(-1)*m/(m*m**4))**(-2/23)/((m**0)**(19/4)/((m*m*m*m/(m/(m**(-1/12)/m)))/m**(-3/2))) assuming m is positive.
m**(1063/276)
Simplify ((((m*(m/(m/m**0))/m*m)/m**(1/17))/(m**(-8)*m*m/m**1))**(-50))**(-40) assuming m is positive.
m**(270000/17)
Simplify ((h**(-11)*h)/(h*h**(-2/11)/h*h*h))**(-1/39)*((h*h/(h*h/(h/h**(-1/3))))**13)**(-44) assuming h is positive.
h**(-8386/11)
Simplify ((z**(1/18)/z)/(z**(2/15)*z)*(z*z/(z**(-2)*z))/((z**(1/3)*z)/z))**16 assuming z is positive.
z**(424/45)
Simplify ((y/(y/(y*y**(2/17))))/y**(1/4)*(y/(y**(-13)*y))/y*y**(-1/10)/y)**48 assuming y is positive.
y**(48012/85)
Simplify ((s**(-12)*s**(2/105))/(s**(6/13)/s**40))**(-2/21) assuming s is positive.
s**(-75232/28665)
Simplify (((g/(g/(g/(g/(g*g*g/(g**(-3)*g))))))/g*g)/g*g**(2/15)/g)**(-44)*(g**8/g**(4/3))**33 assuming g is positive.
g**(1232/15)
Simplify ((l**0*l)**(-38))**(-8)*(l**2/l*l*l/((l/(l/(l**(-2/11)*l)))/l))/(l**5*l*l*l/(l**6*l)*l) assuming l is positive.
l**(3357/11)
Simplify ((b**4)**45)**(7/11)*(b*(b/b**4)/b)/(b/b**(-1/2))*b**(-2)/(b/(b*b*b/b**(1/9)*b*b)) assuming b is positive.
b**(22163/198)
Simplify ((g**(-2))**25/((g/((g/g**(3/7))/g))/(g*g*g**7*g*g)))**(-4/33) assuming g is positive.
g**(1132/231)
Simplify (a/((a/(a/(a/(a/a**6*a)*a)))/a)*a*a**4/a*a)**29/((a**0)**6*(((a*(a*a*a/(a/(a/(a/a**4))))/a)/a)/a)/(a**(3/2)*a)) assuming a is positive.
a**(55/2)
Simplify (t/t**0)**(-23)*t*t/(t**(-3)*t)*t/(t/((t*t*t**(2/11))/t))*(t**(-1/4)/t)**(-41)*(t**(-1/3))**25 assuming t is positive.
t**(3313/132)
Simplify ((m**(-3))**(-8))**(-24/5)*(m**(-2)/m*m**3)/(m/(m*m*m*(m/(m*(m*m/(m**7*m))/m))/m*m)*m/m**5) assuming m is positive.
m**(-511/5)
Simplify (g**(2/19)*g/(g*g**(-5)*g*g)*g**(-6)/g**(-2/11))**(-25) assuming g is positive.
g**(14175/209)
Simplify (((((g**2/g)/g)/g)/(g/(g/g**(-6))))/(g/(g*((g*g**0*g)/g)/g))**(-22))/((g/((g*g**5*g)/g*g))/(g/((g/g**(1/4))/g)*g*g))**3 assuming g is positive.
g**(131/4)
Simplify (n*n**(2/21)*n**8*n/(n**7/n)*n**(-2/7))/(n**(-2/5)/n**(1/3)*n**(-3)/n*n*n*n*n**(-6)*n) assuming n is positive.
n**(36
|
{
"pile_set_name": "DM Mathematics"
}
|
f**2 + 3*f + 13*f - 91*f**2 + 48*f**2 - 5. Let g be ((-7)/2)/(3/6). Determine p(g).
-51
Suppose -3*o + 82 = 5*k, 3*o - 3*k - 43 = 23. Suppose -8 = -4*r, 4*r + 8 = 28*d - o*d. Let f(h) = 4*h - 4. Give f(d).
12
Let m(r) = 19*r**2 - 59*r**2 - 47 + 17*r**2 + 18*r + 24*r**2. Give m(-21).
16
Let k(p) = -9*p**3 - 2*p**2 - 10*p - 29. Let b(q) = 5*q**3 + q**2 + 5*q + 16. Let v(i) = 11*b(i) + 6*k(i). Give v(-4).
-58
Let b(g) = -3*g**2 + 24*g + 91. Let v be (-124)/(-12) + ((-12)/(-42) - 16/(-42)). Calculate b(v).
-8
Let f(t) = -t**3 + 7*t**2 + 8*t + 9. Let u = -20 - -38. Suppose 0*r - u = -3*r. Let z be (r/12)/(2/12) + 5. Determine f(z).
9
Let q(c) = c**2 - 2*c - 1. Let a be q(2). Let z(d) = 106*d - 15*d - 12*d - 59*d - 19*d + 19*d**2. What is z(a)?
18
Let q(k) = -36*k**2 - 3*k + 7 - 34*k**2 + 68*k**2 - k. Let b(j) = -j**3 - 9*j**2 + 12*j + 15. Let l = 10 - 20. Let x be b(l). Give q(x).
-23
Let a(o) = 2*o. Let l(q) = 25*q + 315. Let b be l(-12). Suppose 2*j - 4*k + b = 5, 19 = -5*j + 4*k. Give a(j).
-6
Let w(k) = k**2 - 19*k + 437. Let a(v) = -4*v**2 + 83*v - 1969. Let y(t) = 2*a(t) + 9*w(t). Let r be (2 + -1)*(-4)/(-1). Determine y(r).
-9
Let h(c) = -c**3 - 6*c**2 - 14*c - 2. Let k(x) = 3 + 6*x**2 + 4583*x**3 + 16*x + 0*x**2 - 4582*x**3. Let v(p) = -6*h(p) - 5*k(p). Determine v(-4).
13
Suppose 0 = -36*n - 57 - 35 - 16. Let m(p) = 3*p**3 - 4*p - 7. What is m(n)?
-76
Let h(p) = -p**3 + 11*p**2 - 10*p + 9. Let t = 396 - 388. Suppose -22 - t = -3*x. What is h(x)?
9
Let g(m) = -m**2 - 10*m - 14. Let l be (-168)/(-90) + -2 + 133/(-15). Determine g(l).
-5
Let j(r) = -3*r**2 + 71*r - 54. Let p(d) = -d**2 + 25*d - 18. Let a(k) = 6*j(k) - 17*p(k). Suppose 3*v = -2*v + 4*v. What is a(v)?
-18
Let f(p) = p**2 - 10*p - 2. Suppose -2*z + 104 = -t + 33, t - z + 69 = 0. Let n = t - -67. Suppose n*b = b - 8. Determine f(b).
-18
Let j(n) = -2*n**2 + 3*n - 3. Let a(k) = -k**3 + 10*k**2 - 8*k + 34. Let b be a(8). Let h = b + -102. Let u be -2 + (h + 8 - 0). Give j(u).
-5
Let q be (-25)/(-4550)*26*(1 - -132). Let g(z) = z**3 - 18*z**2 - 16*z + 4. Calculate g(q).
61
Let o(d) be the first derivative of d**5/30 + d**4/24 - 4*d**3 + 12. Let f(n) be the third derivative of o(n). Suppose 3*q - 3 = 6*q. Calculate f(q).
-3
Let m(c) = -c**2 - 2*c + 12. Let b(k) be the second derivative of k**4/6 + k**3/2 - 13*k**2 + 91*k. Let w(r) = 6*b(r) + 13*m(r). Give w(-7).
7
Suppose -4*f = 2*w + 230, -2*w + 0*w - 232 = 2*f. Let m = -118 - w. Let x(j) = -3*j**3 + 2*j**2 + 2*j + 1. What is x(m)?
4
Let k(q) = q**2 - 5. Let o(r) = -r**2 - 2*r + 9. Let g be o(0). Suppose 2*a - 5*a = -g. Let d be a/(-3) + 1 - -4. Give k(d).
11
Let c(z) = -2*z + 15. Let q be (-3)/(-7) - (-243)/21. Let g(b) = 8*b**2 - 96*b. Let k be g(q). Determine c(k).
15
Let d(n) be the first derivative of -n**2 + 12*n + 3142. Give d(-10).
32
Suppose -6 = -2*f - q + 5*q, -2*f + 5*q + 4 = 0. Suppose 0 = -3*u + 2*z + 4, -3*u - 2*z = -f*z - 10. Let m(w) = w - 42 + 88 - 42. Determine m(u).
4
Let v(f) = -5*f**2 + f + 2. Let h(z) = -z**3 + z**2. Let m(w) = 3*h(w) + v(w). Let r be (-132)/(-13) - (-6)/(-39). Suppose 0 - r = 5*x. Calculate m(x).
16
Let q(w) = 5*w**3 + 6*w**2 - 2*w - 54. Let g(c) = 3*c**3 + 3*c**2 - 2*c - 30. Let n(s) = -7*g(s) + 4*q(s). What is n(4)?
2
Let p(f) = f**3 - 3*f**2 - 6*f - 1. Let x be p(5). Suppose x*d = 4*d + 7*d. Let o(j) = j**2 + 17. Give o(d).
17
Let b(x) = x**2 - 10*x + 2. Suppose 8*s + 20 = 12*s. Suppose 131 = 18*c + s. Determine b(c).
-19
Let f(g) = g**3 + 6*g**2 - 476*g + 14. Let s be f(-25). Let b(o) = -o**2 + 38*o + 43. What is b(s)?
4
Suppose -4*h = -2 - 18. Suppose 0 = h*k - 16 - 14. Let o(u) = 3*u**2 - 15 + 13 - u**3 + u**2 + k*u. Determine o(4).
22
Let m(w) = -3*w**2 - 90*w - 539. Let c be m(-22). Let t(a) = 2*a**3 + 20*a**2 - 21*a - 2. What is t(c)?
-13
Let g be (-4 + (-88)/(-24))*(-10 - -1). Let l(v) be the third derivative of v**4/4 - 2*v**3/3 + 209*v**2. What is l(g)?
14
Let p(g) = -g**3 + 11*g**2 - 4. Suppose -23 - 10 = 11*a. Let b be -11*(a + 8 + -6). Determine p(b).
-4
Let w(p) = p**2 - 13*p + 12. Let y be 14/(-70) + (-126)/(-5). Suppose -4*u + y = d, -4*d + 51 = -3*u + 8. Calculate w(d).
12
Let r(j) = j**3 - 15*j**2 - 16*j + 14. Let d(t) = -t**2 - 166*t + 2928. Let m be d(16). Give r(m).
14
Let g(r) = -50*r - 11. Let k(l) = 11*l + 1. Suppose 39*b - 76 = 119. Let w(p) = b*k(p) + g(p). Calculate w(2).
4
Let t(j) = j**2 + 6*j + 16. Let o(i) = 124*i + 4210. Let b be o(-34). What is t(b)?
16
Suppose -306*g = -309*g + 3849. Let s(z) = 433 + z + 427 + 436 - g. Calculate s(-4).
9
Let x(k) = -31*k**3 - 151*k - 31*k**2 + 32*k**3 - 31 + 49*k. Determine x(34).
-31
Let n = -509 - -511. Let w(i) = -i**3 - 3*i**2 - 3*i + 9. What is w(n)?
-17
Let s(o) be the second derivative of 9*o**5/20 - o**3/6 + o**2/2 + 3*o - 113. Let h(n) = -n**2 + 3*n + 5. Let z be h(4). What is s(z)?
9
Let y(v) = 6*v + 21. Suppose -17*c - 135 = 23*c - 55*c. Give y(c).
75
Let t(c) = -c**3 + 6*c**2 - 10*c + 2. Let m(z) be the first derivative of z**2/2 + 4. Let k(s) = -3*m(s) - t(s). Let j = -2424 - -2429. What is k(j)?
8
Let q(n) = -34*n + 10 - 25*n + 2*n**2 + 84*n + 9 - 30*n. Give q(6).
61
Let b(y) = 68594*y + 20*y**2 + 5 - 68594*y. Let k(q) be the second derivative of 5*q**4/6 + q**2 + q. Let m(o) = -3*b(o) + 7*k(o). What is m(1)?
9
Let r(z) = -18*z**2 + 49*z + 4*z**3 - 695834 + 3*z**2 - 3*z**3 + 695830. Determine r(10).
-14
Let t(l) = l**2 - 35. Let n(j) = 5. Let r(a) = 6*n(a) + t(a). What is r(3)?
4
Let t(j) = 21 - 8*j + 617*j**3 - 5*j**2 - 561*j**3 - 55*j**3. Determine t(6).
9
Let k = 113 + -108. Let a(v) be the first derivative of v**4/4 - 2*v**3 + 7*v**2/2 - 5*v + 29. What is a(k)?
5
Let t(b) = 37*b + 55. Let j(l) = 52*l + 83. Let y(q) = 5*j(q) - 7*t(q). Give y(-14).
16
Let z(n) = -n**2 + 9*n - 4. Let d = 9 + -5. Suppose -23*o + 26*o - 9 = 0. Suppose -a + d = -o. Give z(a).
10
Let p(j) = 4*j**2 - 74*j - 2. Let q(s) = -7*s**2 + 124*s + 1. Let w(o) = -12*p(o) - 7*q(o). Determine w(-13).
-74
Let p(t) = -13 + 115*t - 9 + 129*t - 246*t. Let b(c) = -c**2 + 10*c + 8. Let y be b(-2). Determine p(y).
10
Let l = -2543 - -2554. Let q(r) = -r + 17. Give q(l).
6
Let k(j) be the first derivative of -j**4/4 + j**3/3 - 2*j**2 + 30*j + 2431. What is k(0)?
30
Let w(c) be the third derivative of c**5/30 - c**4/2 + 5*c**3/3 + c**2 - 645. Give w(7).
24
Let i(c) = -c**2 - 6*c - 4. Let v = 4068 - 4070. Calculate i(v).
4
Let y be 6/(-24)*-188*2. Let j(x) = -43 - 51 + y - 4*x. Suppose -5*k - 3*s = 2*s, -3*k - 2*s = 2. What is j(k)?
8
Let w(m) = m**3 + 9*m**2 + 6*m - 1. Let n be 1 + 6 + -7 - -15. Let v be ((-120)/(-18) + -4)/((-5)/n). Give w(v).
15
Let x(d) be the second derivative of -d**7/2520 - d**6/240 + d**5/120 - 19*d**4/6 + 30*d - 2. Let p(v) be the third derivative of x(v). Determine p(2).
-9
Let u(j) = j**2 + 10*j + 9. Let i = -211 - -280. Suppose -57 = 14*w + i. Give u(w).
0
Let r(m) = m**2 - 2*m - 1. Let n(k) = -12*k**2 + 12*k + 4. Suppose -4*z = 5*j - 41, -5*j - 5*z + 31 + 14 = 0. Let o(h) = j*r(h) + n(h). Calculate o(1).
-6
Let j(i) = 40*i + 110. Let c(k) = -10*k - 27. Let v(u) = 9*c(u) + 2*j(u). Give v(-5).
27
Let y(o) = 68*o**3 + 11*o**2 + 15*o + 13. Let g(m) = 106*m**3 + 17*m**2 + 23*m + 20. Let r(d) = -7*g(d) + 11*y(d). Determine r(-2).
-45
Let y be -9 + (1 - (-13 + 17)). Let q(r) = r**3 + 12*r**2 + r + 23. Determine q(y).
11
Let u(i) = i**3 - 9*i**2 + 7*i + 16. Suppose 0 = -186*l + 189*l - 27. Give u(l).
79
Let k be (-30)/(-8) - (-170)/40. Let v(h) = 8*h - 51. Give v(k).
13
Let w(i) = i + 3. Let p(v) = v**3 - 3*v**2 - v - 1. Suppose -7 - 5 = 3*l. Let t(r) = r + 7. Let f be t(l). Let o be p(f). Give w(o).
-1
Let f(x) = 4*x + 8. Let v(c) = 3*c + 14. Let i(p) = -f(p) + v(p). Calculate i(6).
0
Let x(l) = -l**2 - 7*l + 10. Let v be (-6 + 1)*(48/(-10) - -6). Let a be v/(-4)*496/(-93). What is x(a)?
2
Let y(b) = 3*b**2 + 33*b - 11. Let j be (1 - -11 - 10) + -12. Calculate y(j).
-41
Let h(a) be the first derivative of -2*a**2 - 6*a - 15. Let p = 4 + -6. Let v be h(p). Let z(m) = -12*m - 1. What is z(v)?
-25
Let b(l) be the second derivative of l**4/12 - 3*l**3/2 - 7*l**2 + 2*l + 1. Calculate b(8).
-22
Let k(d) = -2*d + 3. Let o(n) be the first derivative of 13/2*n**2 + 1/4*n**4 + 14 - 5*n**3 + 19*n. Let x be o(14). Calculate k(x).
-7
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
/55
Calculate prob of sequence eoo when three letters picked without replacement from eeeocooceeoe.
3/55
What is prob of sequence qzzq when four letters picked without replacement from {z: 4, q: 3, n: 5, e: 1}?
3/715
Three letters picked without replacement from ichaehe. What is prob of sequence eca?
1/105
Two letters picked without replacement from vvxvvvvv. What is prob of sequence xv?
1/8
Three letters picked without replacement from wwweqwwww. Give prob of sequence qew.
1/72
Two letters picked without replacement from {z: 1, t: 2, g: 8, c: 3, n: 2, h: 1}. What is prob of sequence gc?
3/34
What is prob of sequence ndn when three letters picked without replacement from nden?
1/12
Two letters picked without replacement from tba. What is prob of sequence bt?
1/6
What is prob of sequence uuu when three letters picked without replacement from uuuuu?
1
Two letters picked without replacement from {p: 1, q: 1, r: 1}. What is prob of sequence pr?
1/6
Three letters picked without replacement from {g: 1, q: 12, a: 2, s: 1, b: 1}. What is prob of sequence aag?
1/2040
Three letters picked without replacement from gggggggzzgggg. What is prob of sequence ggz?
5/39
What is prob of sequence ia when two letters picked without replacement from {i: 1, u: 5, m: 4, a: 1, q: 1}?
1/132
Calculate prob of sequence ccc when three letters picked without replacement from {c: 3}.
1
Two letters picked without replacement from jwwdywwdohoo. What is prob of sequence do?
1/22
What is prob of sequence vttv when four letters picked without replacement from {t: 14, v: 5}?
455/11628
What is prob of sequence aja when three letters picked without replacement from alalllja?
1/56
What is prob of sequence xg when two letters picked without replacement from jqqqqxxqg?
1/36
What is prob of sequence wb when two letters picked without replacement from {b: 2, w: 4}?
4/15
Calculate prob of sequence mf when two letters picked without replacement from {m: 5, f: 2, d: 6}.
5/78
What is prob of sequence okoo when four letters picked without replacement from koooookpkopkk?
5/143
Two letters picked without replacement from {h: 1, d: 4, j: 2, f: 2}. Give prob of sequence fh.
1/36
Two letters picked without replacement from {d: 3, h: 1, k: 1, y: 3, v: 1, z: 2}. What is prob of sequence yd?
9/110
Calculate prob of sequence lg when two letters picked without replacement from {t: 5, f: 1, g: 3, z: 8, l: 2}.
1/57
What is prob of sequence pp when two letters picked without replacement from kpkphhkp?
3/28
Three letters picked without replacement from {a: 2, w: 3}. What is prob of sequence waa?
1/10
Three letters picked without replacement from {h: 1, o: 4, d: 5, w: 4, p: 2}. What is prob of sequence hoo?
1/280
Four letters picked without replacement from wvttwtvwvwwtvv. Give prob of sequence vvwv.
25/2002
Calculate prob of sequence qbq when three letters picked without replacement from bbqqcqqcqcbqqqqqqqq.
26/323
Three letters picked without replacement from {y: 9, g: 11}. Give prob of sequence gyy.
11/95
Calculate prob of sequence tttt when four letters picked without replacement from tttttttttt.
1
Four letters picked without replacement from qiiq. What is prob of sequence qiiq?
1/6
What is prob of sequence ppp when three letters picked without replacement from pppppp?
1
What is prob of sequence bnb when three letters picked without replacement from nbhbpbnpbbbppppbn?
21/680
What is prob of sequence rfv when three letters picked without replacement from vvrrfrffrffrrrrr?
3/112
What is prob of sequence zt when two letters picked without replacement from zzzqzzzzztztzzqqttzz?
13/95
Two letters picked without replacement from roetzzoxxzot. What is prob of sequence ze?
1/44
Calculate prob of sequence at when two letters picked without replacement from pptkptapatpp.
1/22
Two letters picked without replacement from svqmswwq. Give prob of sequence sw.
1/14
What is prob of sequence tdt when three letters picked without replacement from {d: 5, t: 5, n: 5, w: 1, m: 2}?
25/1224
Three letters picked without replacement from {n: 1, z: 12, w: 7}. Give prob of sequence wnw.
7/1140
What is prob of sequence saas when four letters picked without replacement from paaaasssaapss?
5/143
Four letters picked without replacement from wssddswwldw. What is prob of sequence wwwl?
1/330
Calculate prob of sequence yl when two letters picked without replacement from llllyyll.
3/14
What is prob of sequence nfp when three letters picked without replacement from {p: 2, n: 1, q: 2, x: 1, f: 1, z: 1}?
1/168
Three letters picked without replacement from {w: 4, r: 2, i: 2, q: 2, a: 4}. Give prob of sequence qrw.
2/273
Three letters picked without replacement from {f: 1, s: 2, h: 4, b: 1, t: 3, x: 1}. What is prob of sequence fhx?
1/330
Three letters picked without replacement from mgggmmm. Give prob of sequence mgg.
4/35
Calculate prob of sequence aajj when four letters picked without replacement from aaaaaaaaajj.
1/55
What is prob of sequence ccc when three letters picked without replacement from {b: 4, c: 3, v: 7}?
1/364
What is prob of sequence ig when two letters picked without replacement from iiiibiirrnigr?
7/156
What is prob of sequence snm when three letters picked without replacement from srsmsmssnsns?
7/330
Four letters picked without replacement from vrvvvvvvvvvrvrvrvvv. Give prob of sequence rrrv.
5/1292
Calculate prob of sequence vy when two letters picked without replacement from vyyyvvyvvy.
5/18
What is prob of sequence scnw when four letters picked without replacement from wkgswwngkwgsgscgk?
1/4760
Two letters picked without replacement from {n: 7, c: 1, v: 6, t: 2, l: 4}. What is prob of sequence nn?
21/190
Three letters picked without replacement from xxxx. What is prob of sequence xxx?
1
Calculate prob of sequence ml when two letters picked without replacement from mllmllllllllml.
33/182
Two letters picked without replacement from {l: 10, g: 5, v: 4}. Give prob of sequence vg.
10/171
Three letters picked without replacement from ulouulolllluoeouuoo. What is prob of sequence uoo?
10/323
Three letters picked without replacement from kkkooddododvld. Give prob of sequence dod.
10/273
Two letters picked without replacement from {b: 1, g: 1, u: 2, h: 1, i: 1, z: 1}. Give prob of sequence ub.
1/21
What is prob of sequence bsn when three letters picked without replacement from {b: 3, h: 1, n: 1, r: 3, u: 2, s: 2}?
1/220
Four letters picked without replacement from eirilriieerrlii. Give prob of sequence irre.
3/455
What is prob of sequence exe when three letters picked without replacement from eaeaeebxueex?
1/22
What is prob of sequence jjjv when four letters picked without replacement from {h: 2, v: 2, o: 4, j: 8, q: 3, a: 1}?
28/4845
Calculate prob of sequence ruo when three letters picked without replacement from {u: 5, a: 1, r: 2, o: 1, w: 1}.
1/72
Two letters picked without replacement from zzzzzkckkxzkkkckn. Give prob of sequence zc.
3/68
Four letters picked without replacement from {d: 2, g: 1, p: 7}. What is prob of sequence gdpd?
1/360
Four letters picked without replacement from kkkkkkqkkkkkqkkkkkk. What is prob of sequence kkkk?
35/57
What is prob of sequence otl when three letters picked without replacement from oowvltwt?
1/84
What is prob of sequence bu when two letters picked without replacement from {u: 8, b: 5}?
10/39
Two letters picked without replacement from {f: 5, n: 2, t: 3, o: 2}. Give prob of sequence of.
5/66
Calculate prob of sequence bpz when three letters picked without replacement from {p: 1, q: 1, z: 1, b: 1, c: 1}.
1/60
What is prob of sequence qqb when three letters picked without replacement from {q: 2, b: 16}?
1/153
Four letters picked without replacement from {w: 1, n: 1, f: 1, q: 2}. Give prob of sequence qqfn.
1/60
Four letters picked without replacement from {z: 3, r: 3, a: 1, v: 1, p: 2}. What is prob of sequence zrrv?
1/280
Two letters picked without replacement from csaasmcpmcaa. Give prob of sequence sc.
1/22
What is prob of sequence syy when three letters picked without replacement from {s: 2, x: 1, z: 1, h: 6, y: 2}?
1/330
Calculate prob of sequence iiee when four letters picked without replacement from eeiieiiiiieeioiiiee.
385/7752
Two letters picked without replacement from {v: 2,
|
{
"pile_set_name": "DM Mathematics"
}
|
actor of 1656 and 28800577?
23
Calculate the highest common divisor of 3948861586 and 206.
206
What is the highest common divisor of 2079 and 14306985?
693
What is the greatest common divisor of 29428 and 167496?
28
What is the highest common divisor of 206147 and 105289?
211
What is the greatest common divisor of 212908 and 30057972?
2108
Calculate the greatest common divisor of 45914246 and 10948.
238
Calculate the greatest common factor of 4324 and 62376.
92
Calculate the greatest common divisor of 11993245 and 119.
17
What is the highest common divisor of 17717 and 29827?
7
Calculate the highest common factor of 95470615 and 7060.
1765
What is the highest common factor of 15 and 11205730?
5
Calculate the greatest common divisor of 8894 and 1864369174.
8894
Calculate the greatest common divisor of 18881760 and 41144.
1112
Calculate the greatest common factor of 9472 and 18124224.
64
What is the greatest common divisor of 1287 and 1152567?
117
Calculate the greatest common factor of 784 and 22852963.
49
Calculate the highest common factor of 17760 and 1098870.
30
What is the greatest common divisor of 91935 and 2200765?
1135
Calculate the highest common divisor of 5244 and 328026.
138
What is the highest common factor of 253463854 and 28?
14
What is the greatest common divisor of 36469062 and 486?
54
Calculate the greatest common factor of 647 and 1465183260.
647
What is the greatest common divisor of 13712 and 138352?
16
Calculate the greatest common divisor of 1017390 and 12540.
330
What is the highest common divisor of 87 and 2284301?
29
What is the greatest common divisor of 291 and 171372?
3
What is the greatest common factor of 5236 and 26416929?
1309
What is the highest common factor of 134204910 and 21?
21
Calculate the greatest common divisor of 13 and 81737.
1
What is the greatest common factor of 69226704 and 384?
48
Calculate the highest common factor of 225599304 and 28.
28
What is the greatest common divisor of 141960 and 27118?
182
What is the highest common factor of 2126279 and 43?
1
What is the greatest common factor of 127753 and 30788?
43
What is the highest common factor of 47414 and 42431?
151
Calculate the greatest common divisor of 7459304 and 16.
8
What is the highest common factor of 26553460 and 80?
20
Calculate the highest common divisor of 175388 and 2385668.
652
What is the highest common factor of 516 and 8408349?
129
What is the greatest common divisor of 733257 and 13167?
63
Calculate the greatest common factor of 177 and 2119270206.
177
What is the highest common divisor of 14194063 and 13?
13
Calculate the greatest common divisor of 17057673 and 4985.
997
Calculate the highest common factor of 192 and 4111544640.
192
What is the highest common divisor of 37591548 and 48?
12
What is the greatest common factor of 12564 and 123255981?
3141
Calculate the highest common factor of 15215 and 6928435.
85
Calculate the greatest common factor of 2440 and 303340190.
610
What is the highest common divisor of 1417 and 28267733?
1417
Calculate the greatest common divisor of 6535078 and 968.
22
Calculate the highest common factor of 6592134 and 126.
6
What is the greatest common factor of 143104 and 13806096?
688
Calculate the greatest common divisor of 18575217 and 114.
57
What is the highest common factor of 36 and 56516916?
12
What is the greatest common factor of 27511 and 728816?
451
Calculate the greatest common divisor of 53472018 and 318.
318
Calculate the highest common factor of 95 and 52404983.
19
What is the greatest common divisor of 324044854 and 28?
14
Calculate the highest common factor of 703184042 and 6116.
3058
Calculate the greatest common divisor of 43956 and 243608.
148
Calculate the highest common factor of 18660 and 1041060.
60
What is the highest common divisor of 203928858 and 182?
14
What is the greatest common factor of 240536440 and 93?
31
What is the highest common divisor of 2639 and 775489?
377
Calculate the highest common divisor of 114880032 and 736.
736
Calculate the highest common factor of 4104 and 6674776.
152
What is the highest common divisor of 35212035 and 3135?
285
Calculate the greatest common factor of 1484 and 89098618.
742
Calculate the greatest common divisor of 1061412 and 28193.
121
Calculate the highest common divisor of 124351088 and 80.
16
Calculate the highest common divisor of 217261 and 12199.
11
What is the highest common factor of 120204 and 2954644?
1484
Calculate the highest common divisor of 49644595 and 15785.
385
What is the greatest common divisor of 142 and 903671386?
142
Calculate the greatest common factor of 20 and 76892390.
10
What is the highest common divisor of 2725 and 7191057?
109
What is the highest common factor of 2496468 and 83148?
2028
What is the highest common factor of 18926699 and 20207?
121
Calculate the greatest common factor of 618 and 866926383.
309
What is the greatest common divisor of 6795180 and 12?
12
Calculate the greatest common factor of 5399 and 1761.
1
What is the greatest common factor of 449592246 and 18?
18
What is the highest common factor of 1888852 and 3818?
46
What is the highest common factor of 356 and 2439846?
178
What is the greatest common divisor of 5787074 and 8378?
118
What is the greatest common divisor of 85745373 and 609?
609
Calculate the highest common divisor of 630 and 9336726.
126
What is the greatest common factor of 340 and 7342028?
68
What is the greatest common factor of 6626 and 365947354?
6626
Calculate the greatest common factor of 217458198 and 18.
18
Calculate the highest common factor of 62144927 and 39.
13
Calculate the greatest common factor of 37737749 and 21889.
371
What is the greatest common divisor of 18 and 3378?
6
Calculate the greatest common divisor of 31416440 and 100.
20
What is the greatest common divisor of 50004255 and 441?
147
Calculate the highest common factor of 970 and 29561332.
194
What is the greatest common factor of 1872 and 405496?
104
What is the greatest common divisor of 14408 and 8313?
1
Calculate the highest common factor of 1 and 8613454.
1
Calculate the greatest common factor of 64872932 and 2514.
838
What is the highest common factor of 166963834 and 94?
94
What is the greatest common factor of 1575730 and 7595?
155
Calculate the greatest common divisor of 7124445 and 45.
45
What is the highest common factor of 459357 and 20247?
51
What is the highest common divisor of 348 and 45573123?
87
What is the highest common divisor of 32425442 and 651?
217
Calculate the greatest common divisor of 86 and 1535831.
43
What is the greatest common factor of 6755 and 2730757?
193
Calculate the greatest common factor of 13344 and 3897824.
32
Calculate the highest common divisor of 42808524 and 158862.
1914
What is the greatest common divisor of 184577398 and 51?
17
Calculate the greatest common factor of 214597040 and 2520.
280
Calculate the greatest common divisor of 27314 and 230.
2
Calculate the highest common factor of 8461903 and 1112.
139
What is the greatest common divisor of 219009 and 4011?
21
What is the highest common factor of 15027278 and 44254?
406
What is the greatest common factor of 35516553 and 51?
51
What is the greatest common factor of 3896608 and 26300?
1052
What is the highest common factor of 1225 and 1814?
1
What is the highest common divisor of 153 and 260515?
1
What is the greatest common divisor of 832 and 24256?
64
Calculate the greatest common divisor of 336 and 771888.
48
Calculate the greatest common factor of 12478321 and 426.
71
Calculate the highest common factor of 260001 and 6363.
63
What is the highest common factor of 143 and 1042977?
13
Calculate the highest common divisor of 3280 and 48118256.
656
Calculate the highest common divisor of 120250 and 167000.
250
What is the highest common factor of 61 and 13461053?
61
What is the greatest common divisor of 2666274311 and 739?
739
What is the highest common factor of 5696137 and 711?
79
What is the greatest common factor of 66367 and 2176944?
133
What is the greatest common factor of 74359 and 11?
1
Calculate the highest common divisor of 1055730956 and 11872.
1484
Calculate the greatest common divisor of 757930950 and 25375.
5075
What is the highest common factor of 22173 and 4052633
|
{
"pile_set_name": "DM Mathematics"
}
|
*x**4) + 7*x**5 - 3*x**5 - 2*x**5 - 3*x**5 - 2*x**5 + 4*x**5.
5*x**5
Expand (3*j**2 + 3*j - 2*j + 0*j)*(2*j + j - j).
6*j**3 + 2*j**2
Expand (7*j + 0*j - 4*j)*(1 - 1 + 2)*(2 + 0 + 0).
12*j
Expand -4*j**3 + 4*j**3 + 3*j**5 + (j**2 + j**2 - 5*j**2)*(-3*j**3 + j**3 + j**3) + j**5 + 2*j**2 - 2*j**2.
7*j**5
Expand 1 - m**3 + 2 - 6 + 2*m**3 + 2*m - 2*m - 3*m**3 - 3*m**3 + 7*m**3 + (-m**2 + 0*m**2 - m**2)*(m + m + 0*m).
-2*m**3 - 3
Expand -4*b + 6*b + 2*b - 6*b + b + 3*b - 2*b - b + 6*b - 6*b + 0*b + 3*b + 1 + b - 1 + (-1 + 2 - 3)*(0 + 0 + 2*b).
-b
Expand (1 + l + 4 - 2)*(2*l - 1 + 1).
2*l**2 + 6*l
Expand (t - 2*t - 4*t)*(-1 + 3 - 1)*(4 - 4 - t**2).
5*t**3
Expand -5*z**5 + 0*z**4 + 0*z**4 + (2*z + z - 2*z)*(7*z**4 - z**4 + z**4) - 2*z**5 - z**5 + 4*z**5 + z**5 + 4*z**5 - 4*z**5.
4*z**5
Expand 3*z**2 + z**2 - 3*z**2 + (2*z - 1 + 1)*(5*z - 1 - 2 - 4*z).
3*z**2 - 6*z
Expand (46*w**4 + 18*w**4 - 4*w**4)*(4 - 1 - 4).
-60*w**4
Expand 23*l**2 + 111*l**3 + 23*l**2 - 46*l**2 + (4*l + 2*l - 4*l)*(0*l**2 + 0*l**2 + 2*l**2).
115*l**3
Expand (0*q - 4*q + 5*q)*(3 - 15 - 6).
-18*q
Expand 2*j + 2 - 2 + (1 + 1 - 1)*(-2 + j + 2) + 3*j - 4*j + 2*j + 18 + 7*j - 18 + (-j - 2*j + j)*(-3 - 2 + 1).
19*j
Expand (-2 + 9 + 3)*(3 - 3 - 2*u)*(-3 - 1 + 2).
40*u
Expand (-1 + 3 - 5)*(2 + 1 - 1)*(1 + 2 - 4 - 2*d).
12*d + 6
Expand (-2*b + 2*b - 7*b**3)*(2 + 1 - 5)*(1 + 2*b - 1) + 6*b**4 - 3*b**4 - 2*b**4.
29*b**4
Expand -5*u**5 - 5*u**5 + 4*u**5 + (0*u**2 + 0*u**2 + u**3)*(0 + 2*u**2 + 0) + (-5*u**2 + 4*u**2 + 3*u**2)*(3 + 5 - 5)*(-5*u**3 + 2*u**3 + 4*u**3).
2*u**5
Expand (2*d + 4*d - 5*d)*(-d + 2 + 2*d + 2*d).
3*d**2 + 2*d
Expand l**4 + l**4 - l**4 + (4*l - 5*l + 3*l)*(l**3 + 2*l**3 - 5*l**3) - 3*l**4 + 3*l**4 - l**4 - 4*l**4 - 2*l**4 + 4*l**4 - 2*l**3 - 2*l**4 + 2*l**3.
-8*l**4
Expand (-l**2 + 4*l**2 - 6*l**2)*(-3*l**2 + 4*l**2 + 0*l**2) + 7*l**4 - 4*l**4 + 3*l**4.
3*l**4
Expand (-3*w + 1 - 1)*(3 + 1 - 6)*(-2*w - 3*w**4 + 2*w).
-18*w**5
Expand (-l - 4*l + 4*l)*(-21*l - 11*l**4 + 21*l).
11*l**5
Expand n + 17 - 2 - 5 + (6*n - n - 3*n)*(2 + 1 - 5).
-3*n + 10
Expand (2*c**2 - 6*c**4 + 5*c**4 - 5*c**2)*(-5*c + 5*c + 4*c).
-4*c**5 - 12*c**3
Expand (-3*u + u**3 + 3*u + (5 + u**2 - 5)*(-5 + 5 + u))*(-2*u**2 + 0*u**2 - 2*u**2).
-8*u**5
Expand (1 - 1 - 2*j)*(0*j**3 + 2*j**3 - 9*j**3)*(-j + 2*j - 2*j).
-14*j**5
Expand -5*t**3 + 0*t**3 + 3*t**3 - 6*t**3 + 4*t**3 + t**3 + (-t**2 + t**2 - t**2)*(2*t - 1 + 1).
-5*t**3
Expand (4*x**2 - 4*x**2 + 2*x**2)*(-4*x**3 - 2*x**3 + 5*x**3).
-2*x**5
Expand (2*d + 0 + 2 + d)*((-2*d**2 - 4 + 4)*(d**2 - 2 + 2) - 34*d + 10*d**4 + 34*d).
24*d**5 + 16*d**4
Expand (2 - 5 + 1)*(6*o - 10*o - 8*o)*(-3 - 3 + 4).
-48*o
Expand -3*d**5 + d**5 + d**5 + (2 + 0 - d + 1)*(d**4 + 5*d**4 - d**4).
-6*d**5 + 15*d**4
Expand (-1 + 1 - 2*g**2)*(-26 + 26 - 5*g**2) + 2*g**3 + 4*g**4 - 2*g**3.
14*g**4
Expand (-99 + 99 - 15*j**2)*((2 - 2 + 2*j)*(j - j + 2*j) - 2*j**2 - j**2 + j**2).
-30*j**4
Expand (1 + 0 + 1)*(-u + u + u**4) + (-3 - 1 + 2)*(3*u**4 - 2*u**4 + 0*u**4) + u**4 - u**4 - u**4 + 2*u**4 + u**4 - u**4.
u**4
Expand (-14*a + 19*a - 18*a)*(-1 + 2 + 2)*(2*a + 4*a - 5*a)*(-a + a - 2*a).
78*a**3
Expand -m**3 - m**3 - 2*m**3 + (-4*m**2 + 3*m**2 - m**2)*(4*m - 3*m - 3*m) - 4*m**3 + 0*m**3 + 2*m**3.
-2*m**3
Expand 2*a**2 - 225*a - 55 + 225*a + (-2*a**2 - 2 + 2)*(4 - 3 - 3).
6*a**2 - 55
Expand -5*c**3 - 5*c**3 - 8*c**3 + (c - 3*c + 3*c)*(-4*c - c**2 + 4*c).
-19*c**3
Expand (2 + 3 - 3 + (0 + 1 - 2)*(1 + 2 - 2) - 2 - 2 + 5 + 4 - 2 - 3)*(2*d + d - d).
2*d
Expand (-4 + 2 + 3)*(-2*v**5 - 2 + 2) + 9*v**5 + 5*v**4 + 266*v**3 - 266*v**3.
7*v**5 + 5*v**4
Expand (-1 + 0 - 2)*(2 - 2 + 2)*(0*i - 2 - i - 1).
6*i + 18
Expand ((t - t + t)*(t + 2 - 2) + 5*t**2 + 0*t**2 - 3*t**2)*(0*t**2 - 4*t**2 + 3*t**2) - 2*t**4 - 2*t**4 + 11*t**4.
4*t**4
Expand (-1 + 1 - j)*(2 - 2 + j**3) - j**4 - 3 + 3 + 0 + 0 - 2*j**4 + (-5 + 5 + 2*j**2)*(-1 + 1 - 2*j**2).
-8*j**4
Expand (-3*i**5 + 0*i**5 + 4*i**5)*(-3 + 4 + 0) + 2*i**5 + 3*i**5 - 7*i**5.
-i**5
Expand (0 + 0 - 6)*(0 + 2 - 5)*(-1 - l + 1).
-18*l
Expand (1 + 3 - 3)*(72 - 72 - 5*h)*(1 + 2*h + 0*h + 1).
-10*h**2 - 10*h
Expand (0 + 2 + 0)*(-k - 1 + k + 2*k).
4*k - 2
Expand (3 - 3 - 2)*(-x - 5*x + x)*(-2*x**2 + x**2 + 0*x**2)*(5*x + 0*x - 3*x).
-20*x**4
Expand (o - 6*o**2 - 5*o + 14*o**2)*(-o**2 + o**2 - 3*o**3).
-24*o**5 + 12*o**4
Expand (1 + 2*k**2 - 1 + (2*k**2 - 4 + 4)*(1 + 2 - 2))*(3*k**3 + 4*k**3 - 4*k**2 - 6*k**3).
4*k**5 - 16*k**4
Expand (-3*n + 1 - 2 + n)*((0*n + 6*n - 3*n)*(-3*n - n + n) + n**2 + 3*n**2 - n**2).
12*n**3 + 6*n**2
Expand (5*s**2 - 4*s**2 + 0*s**2)*(-2*s + 4*s - 3*s).
-s**3
Expand 92*p**4 + 12704 - 12704 + (4*p - 4*p - p)*(-4*p**3 + 3*p**3 - p**3).
94*p**4
Expand 6*y**5 - 2*y**5 + 0*y**5 + (2*y**3 + 2*y**2 - 2*y**2)*(-2*y**2 + y**2 + 0*y**2) - 2*y + 2*y**5 + 2*y - y**3 - y**5 + y**3.
3*y**5
Expand (-r + 2 - 2)*(-1 + 1 + 1)*(-105*r**3 + 105*r**3 + 2*r**2 - 13*r**4).
13*r**5 - 2*r**3
Expand (0 + 9 - 3)*(1 + f - 1)*(1 - 7 + 2).
-24*f
Expand (-7*i + 5*i**3 + 7*i)*(-5*i + i - 2*i)*(-2 + 2 + i).
-30*i**5
Expand 3*q + 0 + 0 - q + 0*q + 0*q + (q + q + 0*q)*(1 - 4 + 4).
4*q
Expand ((0 + 1 - 2)*(0*k - 5*k + 4*k) + 2*k - 3*k + 3*k)*(5*k**2 - 9*k**2 + k**2).
-9*k**3
Expand (-k**2 - 3*k**2 + 2*k**2)*(1 - 1 - 3) - 4*k**2 + 3*k**2 + 2*k**2.
7*k**2
Expand (5*v - 3*v + 0*v)*(-3*v + v + 0*v).
-4*v**2
Expand g - 4*g + 4*g + (-2 + 4 - 4)*(g + 2*g - 2*g) - 3*g + 3*g + 2*g + 0*g + g + 3*g - 10 + 10 - 6*g.
-g
Expand 0*i**3 - 2*i**4 - i**3 - i**3 - 3*i**4 - i**4 + 5*i**4 + (-i**2 + 3*i - 3*i)*(0*i**2 + 0*i**2 + 2*i**2).
-3*i**4 - 2*i**3
Expand (-5*j + j + 0*j)*(-2*j - 21 - 23 + 7*j**2 + 47).
-28*j**3 + 8*j**2 - 12*j
Expand (-2*g**2 + 2*g**3 + 2*g**2)*(-g + 11*g - 9*g + 3).
2*g**4 + 6*g**3
Expand 0 + a**2 + 0 + 0*a**2 + 4*a**2 - a**2 + (a + 2 - 2)*(2 - 2*a - 2) - 2 - a**2 + 2.
a**2
Expand (-39 + 38 - u + 0*u)*(2*u - 2*u + u).
-u**2 - u
Expand 3*s**2 - 3*s**2 + 2*s**5 + (3*s**4 + s**4 - 6*s**4)*(s + 0*s - 5 - 2*s).
4*s**5 + 10*s**4
Expand (-3*c + 4*c + 0*c)*(5*c - 5*c - 2*c)*(2 + 3 + 1).
-12*c**2
Expand 2*b**4 + 0 + 0 + (-2*b**4 - 2*b**4 + 2*b**4)*(1 - 2 + 0) + 6*b**4 + 2*b**4 - 4*b**4.
8*b**4
Expand 3*h - 7*h - 7*h - 2*h + 0*h + 0*h + (0*h + 2*h - 3*h)*(3 - 5 + 1).
-12*h
Expand (2*b**2 - 2*b**2 + 4*b**4)*(2*b - 2*b + 3*b).
12*b**5
Expand (-4*o**2 + 4*o**2 + 4*o**3)*(-3*o + 0*o + 0*o)*(-3 + 3 - 2*o).
24*o**5
Expand (2*p - p - 3*p)*(0*p + p - 3*p) + 0*p - 11*p**2 + p + 10*p**2.
3*p**2 + p
Expand (8*j - 10*j - 10*j)*(-2*j**3 - j + j + (2 - 2 - j)*(-j**2 + 0*j**2 + 3*j**2)).
48*j**4
Expand ((-k + k + k)*(-3 + 4 + 0) + 0*k - 4*k + 5*k)*(k**3 + k**4 - k**3).
2*k**5
Expand (2*v**4 + 3 - 3)*(54*v + 13*v - 13*v + 7*v).
122*v**5
Expand ((3 + 4*n - 3)*(4*n + 2*n - 3*n) - 4*n**2 - 2*n**2 + 4*n**2)*(4 - 3 - 3).
-20*n**2
Expand (3 + 1 - 6)*(-g + g - 2*g) + (g + g - g)*(-6 + 3 + 4).
5*g
Expand (-5*q**3 + 3*q**3 - 2*q**3)*(2 + 4 - 4) + (q - q + 2*q)*(-4*q**2 + q**2 + 2*q**2) + 2*q**3 + 4*q - 4*q.
-8*q**3
Expand (a**4 - 4*a**4 + 2*a**4)*(3*a + 1 - 5*a + 4*a).
-2*a**5 - a**4
Expand (3*t - 3*t - 4 + 2*t)*(-2*t**2 + 2*t**2 - 3*t**2).
-6*t**3 + 12*t**2
Expand (-3*f - f + 6*f)*(3 - 3 + f) - f**2 + 6*f**2 - f**2 + (4*f + 0*f - f)*(6*f - 4*f - 3*f).
3*f**2
Expand -v**2 + v**2 - v**4 + v**3 - 2*v**4 - v**3 + (-4*v**2 + 0*v**2 + 2*v**2)*(5*v - 2*v**2 - 5*v).
v**4
Expand (0*v**2 - v**2 - 2*v**2)*(-3 - 3 + 4)*(-2*v**2 - 3*v**3 + 2*v**2).
-18*v**5
Expand (-2*g**3 + 2*g**2 - 2*g**2)*(5 + 1 + 0) + (-2 + 2 - g**2)*(-5*g + g + 2*g).
-10*g**3
Expand (-4*k + 4*k + 3*k)*(0*k**2 + 0*k**2 + k**2) + 5*k**3 - k**3 - 2*k**3 + (k - 3*k + 0*k)*(3*k**2 - 8*k + 8*k) - 3*k**3 + k**3 + 1 - 2.
-3*k**3 - 1
Expand (5*b - 5*b + b)*(b**2 + 2*b**2 - 4*b**2)*(2*b - 1 + 1) + 3*b**4 + 4*b**4 - 3*b**4.
2*b**4
Expand (2 - g - 2)*(-1 - g + 1)*(-5*g + 4 - 4) + 2*g**3 + 3*g**3 - g**3.
-g**3
Expand -2 + 2 + l**4 + (2*l**2 + 3*l - 3*l)*(2*l**2 + l - l + (-4*l + 4*l + l)*(3*l + 3*l - 4*l) + l**2 + 0*l**2 + 0*l**2 + l - 8*l**2 - l).
-5*l**4
Expand (-u + 2*u + u + (-4 + 4 - 2)*(0 - 2*u + 0) + 0 + 0 + 2*u + 3*u - 6*u + 2*u)*(-1 + 4 + 4)*(u**4 + 0 + 0).
49*u**5
Expand (0*c - c**3 + 0*c)*(-130*c + 60*c**2 + 130*c).
-60*c**5
Expand (2*a + a + a)*((5 + 2 - 5)*(13*a + a - 2*a) + (-3*a + 2*a - a)*(3 + 0 - 1)).
80*a**2
Expand -6*l**2 - 14*
|
{
"pile_set_name": "DM Mathematics"
}
|
= -24/253 - p. Let r be (3/(-6))/((-2)/4). Which is bigger: r or k?
r
Suppose -8*t = -0*t. Let q be (-10)/4*4/18. Do q and t have the same value?
False
Let m = -2.1 + 1.1. Suppose 0 = 4*t - 21 - 39. Let z = -59/4 + t. Which is greater: m or z?
z
Let k = 123 + -129. Which is smaller: k or -5?
k
Let s = -37537/126 - -7396/21. Let i = 1707/2 + -799. Let o = i - s. Which is bigger: o or -4?
o
Let l = 438797/5 + -87342. Let m = -416 + l. Is m >= 2?
False
Suppose -148 + 190 = -3*n. Is n less than -13?
True
Suppose 508 = -4*r + 1004. Which is smaller: 125 or r?
r
Let k be 9570/90990 + 1/(-9). Which is smaller: k or 1?
k
Let z = 66.7 + -63.7. Which is smaller: 10 or z?
z
Let y be -5*2*(-4)/8. Suppose 4*m = y + 3. Let h be m/9 + 74/72. Which is smaller: 0 or h?
0
Let j(n) = -n**3 + n**2 + 3*n + 4. Let g be j(3). Suppose 0 = -d - 4*d - 4*v - 32, 0 = -5*d - 2*v - 26. Let c = d - g. Which is greater: -2 or c?
c
Let m(s) = -s + 6. Suppose -3*g - 20 = -2*x, -g = -3*x - 6*g + 11. Let h be m(x). Is 4/9 smaller than h?
False
Suppose -5*b + 44*b - 780 = 0. Do 14 and b have different values?
True
Let d = -2 - -5. Let u be (33/44)/((-5)/(1 - 21)). Does u = d?
True
Let z(l) = 3*l - 10. Let v be z(4). Suppose 0 = -4*r - n + 3 + 1, -8 = -r - v*n. Suppose r = -3*h - 1 + 46. Which is smaller: 16 or h?
h
Let t = -341.8 - -342. Is 0.4 >= t?
True
Let v = -2 + 10. Suppose 3*y + v = 2*y. Let c be 12/(-16) - (-2)/y. Which is greater: 3/4 or c?
3/4
Let j = -32 - -32. Suppose 3*y + 6 = t + y, 2*y + 6 = j. Let q be 2/8 - 1/(-20). Is t smaller than q?
True
Let f = -3805/197653 - -9/827. Which is bigger: f or 1?
1
Let a be (2/3)/(1 + 4). Let o = 23 - 20. Suppose -b = 2*b + o. Which is greater: a or b?
a
Suppose c + 3*c = 88. Let u = -57 - -80. Is u less than or equal to c?
False
Suppose 157 - 1445 = 7*u. Which is smaller: u or -182?
u
Suppose 0 = 3*f - 8*f + 10. Suppose -8 + 10 = -f*q. Let t(j) = j**2 - 2*j - 1. Let u be t(q). Which is greater: 3 or u?
3
Let f be 6*1*(-16)/6. Let z(y) = y**3 - 3*y**2 + 2*y + 23. Let r be z(0). Let m = r + f. Which is smaller: m or 6?
6
Let s = -0.2 - -0.35. Let m = -5.15 + s. Let n = -5 - m. Which is bigger: n or 8?
8
Suppose -16 = 5*a + 19*c - 15*c, -4*a - c - 4 = 0. Which is greater: a or 9/47?
9/47
Let s = -430 - -417.3. Is s != 0.2?
True
Let c = -45 + 29. Let t = 13 + c. Let x = -0.22 + -0.08. Do x and t have the same value?
False
Let j = -1.69 + 2.007. Is -2 < j?
True
Let t = 11 + -11.03. Let o = t - -2.13. Let y = 2.5 - o. Is y != 0?
True
Let w be ((-12)/8)/((-35)/504). Let s = w + -114/5. Is s at most -1?
True
Suppose 3*m + 377 + 619 = 0. Which is bigger: m or -333?
m
Let t = 36854/805 + -57/115. Let r = t + -45. Are r and 0.2 equal?
False
Let z(s) = s + 1. Suppose 28 = 3*n + 5*m, 0*n + m - 1 = 4*n. Let r be z(n). Suppose 4*q = -0*q - 3*w, 0 = 2*q + r*w. Which is bigger: q or -2/19?
q
Let r = -11.13 + -125.87. Which is bigger: r or -1?
-1
Let j be (-2472)/354 - (-7)/1. Are -0.3 and j equal?
False
Let i = -2 - -4. Suppose -i*j = j. Suppose 4*s - 2*s + 2*x = j, x = -5*s. Which is bigger: s or 6/11?
6/11
Suppose -o = -3*c - 16, -4*o + 0*o = 4*c + 32. Let j = -7 + 3. Let k = c - j. Are -2 and k equal?
True
Suppose 4*r + 10 = 5*x, 13*r - 10 = 9*r - 5*x. Which is greater: r or 10/47?
10/47
Let a(t) = t**3 + 10*t**2 + 12*t - 3. Let s be a(-8). Suppose -2*h = 4*x + 2*h + 16, -s = x - 4*h. Which is smaller: -8 or x?
x
Let c be (54/14 + 1)*(-35)/(-125). Which is smaller: 1 or c?
1
Let g be -38 + 4 - (-15 - -9). Does g = -29?
False
Let p be (465 - 0)/(-5) + -2. Let j = -23381/18 + 7223/6. Let c = j - p. Which is smaller: c or -1?
-1
Suppose 10 + 20 = 10*o. Which is smaller: -0.3 or o?
-0.3
Let o be (1/(-2))/(390/(-156)). Is -185 greater than or equal to o?
False
Suppose 0 = -168*c + 179*c - 176. Which is smaller: 20 or c?
c
Let j = -0.3 - -0.5. Let q be 70 - 2/(-1)*1. Let a = -66 + q. Is a >= j?
True
Let o = -54 - -56. Let m be o/11 - (1978/(-1100) - -2). Which is smaller: m or -1?
-1
Let j = -5 - -11. Let u(g) = 7*g + 8*g**2 - 11 + g**3 - 25*g + 7*g. Let h be u(-9). Is j less than h?
True
Suppose -2*i = -3*i - 5*m - 11, 4*i = -4*m - 12. Let u be 4/(-10)*(-5)/4. Let y = 0 - u. Which is smaller: i or y?
i
Let x be ((-4)/2)/(5/(-90)). Let k be (-7)/(-2)*x/63. Suppose -5 = -5*v, 2*v + k = -3*t + 1. Is -0.5 at least t?
True
Let j = -1.021 - -1.128. Which is smaller: -1/3 or j?
-1/3
Suppose 11*w - 14*w = -87. Let b = w + -25. Which is greater: b or 9/2?
9/2
Let w = -25 + 1. Let d be 80/168*w/(-10). Is 0 < d?
True
Let x(f) = 2 - 5 - 5 + 12*f - 2. Let y be x(-2). Is y at most as big as -33?
True
Let k(g) = g**3 - g**2 + g - 1. Let w be k(-3). Let t be (-48)/w*10/4. Suppose -3*z + 9 = t. Which is smaller: z or 5?
z
Let d = 29/16 + 65/176. Are d and -0.11 equal?
False
Suppose -76*s + 4 = -72*s. Is 14/13 >= s?
True
Suppose 3*c + 142 = -0*c + 2*h, -8 = 2*h. Is c != -97/2?
True
Suppose 3*y - 6 = 9. Suppose 5*u + 8*s - 6*s - 16 = 0, -5*s = -u + 14. Are y and u non-equal?
True
Let d = -2.271 - -2.171. Let o = -98.982 - 0.018. Which is greater: d or o?
d
Let g(o) = -2*o**2 + 2*o - 1. Let m be g(3). Let y be -8 + -3 + 3 + -3. Which is smaller: m or y?
m
Let b be -4 + 4 + 12/368. Is 0 equal to b?
False
Suppose 0 = -y + 3*y + 2. Let d be ((-3)/(-3) - -4) + (-2 - (-180)/(-58)). Which is greater: y or d?
d
Let c be ((-7)/14)/((-7)/12). Let q = -14 - -21. Let b = 9 - q. Is b smaller than c?
False
Suppose -7*l + 6*l = -3. Suppose 3*y + 4*m + 4 = -3, -l*y - 2 = -m. Is -2/85 greater than y?
True
Let y = 295 + -1179/4. Let c = 3/160 + 217/160. Is c less than y?
False
Suppose 2*n + 2*l + 370 = 0, 2*n - 5*l = 38 - 373. Is n != -182?
True
Suppose 0 = -3*p + 2*p + 3. Let r = 24.7 - -5.3. Let i = -29.9 + r. Which is smaller: p or i?
i
Let n(m) = -13*m**3 + m**2 - 3*m + 27. Let s(d) = -7*d**3 - d + 14. Let l(y) = 6*n(y) - 11*s(y). Let v be l(5). Let r be 2*3/v - 3. Is r equal to -8?
False
Suppose 8*t - 6*t = -2*s + 1426, -s = -5*t - 743. Is 718 < s?
False
Let f(k) = -k**3 + 12*k**2 - 24*k + 166. Let v be f(11). Let b be 135/6 + (-2)/(-4). Is b >= v?
True
Suppose -5 = -5*w + 10. Suppose -4*b + 4*p - 2*p - 6 = 0, 0 = -3*b - w*p + 9. Let z = b + -1. Do 3/11 and z have the same value?
False
Suppose 11 = -5*c - 2*g, 4*g = -3*c - g - 18. Let z = 3752886/7 + -161639594/301. Let b = z - -882. Is b at least c?
True
Let r be 14/(-74)*(-18)/21. Is 2 greater than r?
True
Let k = 6549.09 + -6520. Let t = -29 + k. Is -1 at most t?
True
Let h be (2/(-4))/((-60)/(-4560)). Is -32 >= h?
True
Let v be -2 - (9/15 - (-32)/(-20)). Is -2/3267 smaller than v?
False
Let f be (-4)/(-6)*24/(-26). Suppose -m + 20 = -5*j + m, -5*m + 19 = 3*j. Is j >= f?
False
Let d = 173 - 169. Suppose 4*a = -d*v - 12, -a - 5*v - 12 = a. Is 1/10 equal to a?
False
Suppose -5*m = -73 + 8. Let f be (5/(-15))/((-1)/45). Suppose -h - 2 + f = 0. Is h greater than m?
False
Let a = -75898/45 - -1686. Which is greater: -2 or a?
a
Let t be (0*2/20)/1. Is 53/5 not equal to t?
True
Let f = 1 + -2. Let n be 2 - ((-37198)/(-15600) - (-5)/(-15)). Let z = -3/104 + n. Is f greater than or equal to z?
False
Let u = -15 - -43. Let b = -27.9 + u. Which is smaller: b or 23?
b
Let l = 35.4 + -40. Let k = 4.6 + l. Let g = 5 + -2. Which is greater: k or g?
g
Let d(w) = w**2 - 15*w - 9. Let b be d(16). Let q be 40/5*(3 - 2). Let c(g) = -g**2 + 8*g + 6. Let y be c(q). Which is greater: b or y?
b
Let d = 313/7 - 290/7. Is 3 greater than or equal to d?
False
Let a = -0.018 - -0.118. Suppose 5*v - 3*c = 10, 0*v - v - 4*c = -2. Let k be v/(-6) - 51/9. Which is greater: a or k?
a
Suppose 3*x = -48 - 267. Let d = x - -107. Which is smaller: d or 10/13?
10/13
Let k be ((-8)/(-3))/((-5494)/(-246)). Which is smaller: k or -1?
-1
Let t = -20/351 + -10978/351. Let b = 32 + t. Is b greater than -78?
True
Let l be (-4)/(-30) + -2*(-74)/(-660). Is l at most -4?
False
Let j be (-14)/(-6) + 10/15. Suppose 6*p = j*p. Suppose p = 4*b - 1 - 3, 4*g + 5 = 5*b. Is g greater than 1/4?
False
Let n(g) = 179*g + 9. Let l be n(-6). Let j be l/(-4) - (5 + -2). Let k = -261 + j. Is 1 at most as big as k?
True
Let i = 24577122/25 + -982934. Let k = 151 - i. Is 1 at most k?
False
Let m(q) = q**2 - 6*q + 3. Let j(w) = -w**2 - 12*w - 6. Let c be j(-11). Let r be m(c). Let d =
|
{
"pile_set_name": "DM Mathematics"
}
|
e tens digit of 379399536?
3
What is the ten thousands digit of 8139684858?
8
What is the hundred millions digit of 241619099?
2
What is the hundreds digit of 47204496?
4
What is the ten millions digit of 62718777?
6
What is the ten millions digit of 161638754?
6
What is the millions digit of 2857037596?
7
What is the hundreds digit of 1307357639?
6
What is the thousands digit of 148728288?
8
What is the thousands digit of 8637494?
7
What is the units digit of 57958671?
1
What is the hundred thousands digit of 93198115?
1
What is the ten millions digit of 38804899?
3
What is the hundred thousands digit of 199594888?
5
What is the hundreds digit of 1308247406?
4
What is the hundred thousands digit of 159468093?
4
What is the units digit of 15563816?
6
What is the ten thousands digit of 32478872?
7
What is the ten millions digit of 240406943?
4
What is the hundred thousands digit of 4757262201?
2
What is the ten thousands digit of 107728178?
2
What is the hundreds digit of 295449188?
1
What is the ten millions digit of 30611761?
3
What is the units digit of 894400548?
8
What is the hundred thousands digit of 3574540135?
5
What is the thousands digit of 60522615?
2
What is the units digit of 5810700441?
1
What is the hundreds digit of 155170807?
8
What is the units digit of 15290522?
2
What is the tens digit of 54481925?
2
What is the hundred thousands digit of 523129199?
1
What is the hundreds digit of 462064288?
2
What is the ten millions digit of 6577844108?
7
What is the millions digit of 200981763?
0
What is the hundred thousands digit of 32546133?
5
What is the millions digit of 231230270?
1
What is the hundred millions digit of 269606890?
2
What is the thousands digit of 1471923338?
3
What is the ten thousands digit of 143419934?
1
What is the hundred millions digit of 323905102?
3
What is the hundred thousands digit of 17202379?
2
What is the ten millions digit of 742893810?
4
What is the millions digit of 218378899?
8
What is the millions digit of 103310415?
3
What is the tens digit of 202324518?
1
What is the ten millions digit of 72297292?
7
What is the ten millions digit of 507767813?
0
What is the thousands digit of 159898872?
8
What is the hundred thousands digit of 393829217?
8
What is the ten thousands digit of 75694956?
9
What is the ten millions digit of 13973763?
1
What is the millions digit of 1076596?
1
What is the hundred millions digit of 3369965026?
3
What is the hundreds digit of 3773144?
1
What is the hundred thousands digit of 4509812566?
8
What is the tens digit of 1416381045?
4
What is the millions digit of 154866894?
4
What is the thousands digit of 52813776?
3
What is the units digit of 9583981?
1
What is the hundred thousands digit of 596438438?
4
What is the tens digit of 48654780?
8
What is the tens digit of 428685338?
3
What is the ten thousands digit of 70351361?
5
What is the tens digit of 811619107?
0
What is the ten thousands digit of 136012696?
1
What is the hundred thousands digit of 57750249?
7
What is the ten thousands digit of 1431376582?
7
What is the thousands digit of 64777085?
7
What is the ten thousands digit of 294557573?
5
What is the millions digit of 207079066?
7
What is the units digit of 139819550?
0
What is the millions digit of 35713631?
5
What is the billions digit of 1495996967?
1
What is the hundred thousands digit of 190776393?
7
What is the ten millions digit of 4350114604?
5
What is the ten thousands digit of 57533442?
3
What is the hundred thousands digit of 3669846765?
8
What is the tens digit of 747177256?
5
What is the thousands digit of 136823398?
3
What is the ten thousands digit of 755625113?
2
What is the millions digit of 89255448?
9
What is the hundred thousands digit of 994742818?
7
What is the hundreds digit of 31299342?
3
What is the millions digit of 1271657868?
1
What is the hundred thousands digit of 2507124351?
1
What is the thousands digit of 560256112?
6
What is the hundred thousands digit of 7867818?
8
What is the tens digit of 20172795?
9
What is the thousands digit of 227966756?
6
What is the hundred millions digit of 106042255?
1
What is the thousands digit of 51676499?
6
What is the millions digit of 1457632698?
7
What is the hundred thousands digit of 1082445531?
4
What is the tens digit of 1548586573?
7
What is the units digit of 339436012?
2
What is the hundreds digit of 33269905?
9
What is the units digit of 1106997121?
1
What is the units digit of 3267488212?
2
What is the ten thousands digit of 167574858?
7
What is the ten millions digit of 2955011735?
5
What is the tens digit of 169522823?
2
What is the hundred millions digit of 212384195?
2
What is the ten millions digit of 647626769?
4
What is the ten millions digit of 18904349?
1
What is the hundreds digit of 822758110?
1
What is the millions digit of 54814942?
4
What is the ten thousands digit of 486486797?
8
What is the millions digit of 579853683?
9
What is the ten thousands digit of 5619515455?
1
What is the hundreds digit of 158199007?
0
What is the ten thousands digit of 600406078?
0
What is the hundreds digit of 22781713?
7
What is the hundred millions digit of 1134806293?
1
What is the tens digit of 35415699?
9
What is the thousands digit of 726474007?
4
What is the ten thousands digit of 143686679?
8
What is the billions digit of 2536128814?
2
What is the millions digit of 10381891?
0
What is the hundred thousands digit of 237702541?
7
What is the units digit of 45932308?
8
What is the units digit of 800120902?
2
What is the millions digit of 973746048?
3
What is the tens digit of 866179006?
0
What is the hundreds digit of 685987527?
5
What is the hundreds digit of 137457360?
3
What is the hundred millions digit of 903118070?
9
What is the tens digit of 192499808?
0
What is the ten thousands digit of 30492875?
9
What is the hundred thousands digit of 733915263?
9
What is the ten millions digit of 79785710?
7
What is the units digit of 729439076?
6
What is the hundreds digit of 32082443?
4
What is the hundred millions digit of 134156320?
1
What is the hundred thousands digit of 35055552?
0
What is the ten millions digit of 634761288?
3
What is the billions digit of 3868050535?
3
What is the hundreds digit of 4483595913?
9
What is the hundreds digit of 280684684?
6
What is the thousands digit of 215884253?
4
What is the ten millions digit of 67189749?
6
What is the hundred millions digit of 8571076549?
5
What is the tens digit of 6166247724?
2
What is the hundred thousands digit of 125310552?
3
What is the ten millions digit of 2490760456?
9
What is the hundred thousands digit of 550735529?
7
What is the hundred thousands digit of 375534798?
5
What is the billions digit of 2151335985?
2
What is the ten millions digit of 99564013?
9
What is the millions digit of 73666274?
3
What is the tens digit of 54196132?
3
What is the hundred thousands digit of 927796050?
7
What is the hundreds digit of 2492134545?
5
What is the millions digit of 133593625?
3
What is the ten thousands digit of 44702346?
0
What is the thousands digit of 9560686?
0
What is the ten thousands digit of 462085555?
8
What is the units digit of 16572932?
2
What is the millions digit of 134965179?
4
What is the tens digit of 43843106?
0
What is the hundred millions digit of 192092184?
1
What is the hundreds digit of 2460090292?
2
What is the ten millions digit of 2212758932?
1
What is the ten thousands digit of 936892883?
9
What is the tens digit of 108907153?
5
What is the thousands digit of 129870038?
0
What is the ten millions digit of 384148491?
8
What is the ten thousands digit of 14032022?
3
What is the hundred thousands digit of 593810373?
8
What is the ten thousands digit of 513176824?
7
What is the ten thousands digit of 162683355?
8
What is the tens digit of 1364512602?
0
What is the units digit of 2163207494?
4
What is the ten thousands digit of 47865545?
6
What is the units digit of 2588440553?
3
What is the hundred thousands digit of 19769800?
7
What is the tens digit of 243054818?
1
What is the ten millions digit of 106178577?
0
What is the tens digit of 291350584?
8
What is the units digit of 48470690?
0
What is the units digit of 311350003?
3
What is the hundred thousands digit of 1772236752?
2
What is the units
|
{
"pile_set_name": "DM Mathematics"
}
|
.
2
Let n(x) = 17*x**2 + 1. Let m be n(1). Let q = -5 + 9. Solve 3*f + 23 = 5*l + 9, -q*l - f + m = 0 for l.
4
Let h(w) = -w**3 - 19*w**2 + w + 23. Let d be h(-19). Suppose 4*o = 2*n + 10, 1 = d*o - 2*n - 3*n. Solve 0 = -2*p - o*x + 16, 4*x + x = -4*p + 17 for p.
-2
Let i = 1 - 6. Let z(l) = -l**3 - 4*l**2 + 4*l + 5. Let v be z(i). Let r be v/(4/6*3). Solve -3*t + 19 = -m, m = t - r*t + 16 for m.
-4
Let y be 2/4*(4 - -2). Suppose -117 = y*h - 0*h. Let l be h/(-9) - 1/3. Solve -4 = 2*g, -l*g + 7 = -3*v - 9*g for v.
1
Let b(c) = -c**3 - 14*c**2 - 14*c - 8. Let x be b(-13). Solve -2*f - 1 = -x*o + 2*o, -2 = -2*f for o.
1
Suppose -2 + 0 = -d - 2*i, i - 1 = d. Solve 2*f + 4*x + 14 = d, f + 8 = -5*x - 8 for f.
-1
Let w be 4/(-16) - 49/(-4). Let m = 16 - w. Solve m*o = 4*l + 3*o + 21, 4*o = 3*l + 19 for l.
-5
Let u(x) = -x**3 + 14*x**2 + x - 18. Let g be u(14). Let k(c) = c**2 - 2*c. Let t be k(g). Solve 0 = 4*l + 2*j + t, 28 = -2*l - 4*j - j for l.
-4
Let s = -4 - -9. Suppose -3*j + s = 2*j. Solve a + t + j = 0, 0 = 5*a + 5*t - t + 7 for a.
-3
Suppose -8 = -2*h + 6. Suppose -u + 2*u - h = 0. Solve -q - u = z, -3*z + 3 - 15 = 0 for q.
-3
Suppose -f + 0 = -21. Solve -4*s = 3*q + 29, -f = 3*q - q + 3*s for q.
-3
Suppose -4*h - t = h - 39, 3*t - 37 = -5*h. Let z be (-4)/(-6)*-3*(-10)/4. Solve -4*q = 3*s - h*s, -z*s = -q - 15 for q.
5
Let c(u) = 8*u - 4. Suppose 6 = 4*f - 6. Let d be c(f). Solve 2*h - d = -5*i, -4*h + i - 4 = h for h.
0
Let z(b) = -b + 3. Let h be z(-4). Suppose 5*v - 12 = -2*s, 4*s - 2*v = 8 + 16. Let a = -4 + 7. Solve 4*y - 2*y = -p - h, a*p + s = -y for y.
-3
Suppose 6 = -3*l + 30. Let y = -4 + l. Solve -3*a = -x - 1, -3*x + x = -y*a for x.
2
Suppose 3*b - 16 = b. Suppose 5*v - 3*v - b = 0. Solve -5*o = 2*n - n - 8, -o - 11 = -v*n for o.
1
Let y(j) = -2*j - 6. Let i be y(-5). Suppose 4*l = 11 + 17. Solve -16 = 4*r, -2*r + l + 1 = -i*f for f.
-4
Suppose -12*l + 7*l = 0. Solve -5*d - 2*s = 1, l*d - 4*s + 7 = d for d.
-1
Let w be (80/25)/((-2)/(-5)). Let g(z) = -z**3 + 7*z**2 + 10*z - 12. Let h be g(w). Solve 4*p + 2*c = 3*p + 4, -4 = -4*p - h*c for p.
-2
Let y(o) = 3*o**2 - 7*o - 4. Let u be y(3). Let z = 22 - 13. Solve z = g + 3*q - 2, -u*g + 12 = q for g.
5
Let c be -4 - (2 - (4 + -2)). Let l = c - -7. Solve -5*h - 10 = -a, -6*h = -3*h - l*a + 18 for h.
-1
Let t(u) = u**2 + 5*u + 2. Let a be t(-5). Let y = 1018 - 1013. Let j(k) = 2*k**3 - 3*k**2 + 2. Let o be j(2). Solve 0 = i - y*i - 3*w + a, w = 2*i - o for i.
2
Let y(p) be the second derivative of p**4/12 + 5*p**3/6 + 3*p**2 + p. Let n be y(-4). Solve -f - 2*c + 16 = n*c, 0 = -2*c + 6 for f.
4
Let u = 10 + -6. Solve -5*d + 15 = 2*b, 0 = d + 2*b + u + 1 for d.
5
Let h = 5 + 3. Let y = 30 + -18. Let r = y - h. Solve -16 = -s + r*x, 2*s + 0*x - 2 = -2*x for s.
4
Suppose -2*p - 4*u = -64, 6*p - p = 3*u + 121. Let r = 39 - p. Let y = 15 + -11. Solve 5*f + i + 11 = -r, y*f + 8 = 2*i for f.
-4
Let z(j) = 0*j**2 - 2 + j**2 + 16*j + 14 - 7*j. Let w be z(-8). Solve -3*h = -2*o - 12 + 3, w*o + 15 = 5*h for h.
3
Suppose g - 3*m = -6, -49 = 2*g + m - 16. Let b = g - -15. Solve b = 4*r + h - 6, 3*r = -3*h - h - 2 for r.
2
Let m = -5 + 5. Let d be m + 0 - 10/(-2). Suppose -12 = i - d*i. Solve 2*c + c = -a - 15, -15 = -3*a + i*c for a.
0
Suppose -2*k - 12 = -5*b - 1, 2*b + 7 = -3*k. Let p be (-6)/12 + b/2. Solve p*o = -4*q - 5*o + 36, 2*q + 4*o - 24 = 0 for q.
4
Suppose 3*l = 8*l - 15. Solve -c = -2*v + 3, l = 2*v - 3 for c.
3
Let l = 53 + -51. Solve 0*j - 5*j + 21 = -q, l*j - 30 = -5*q for q.
4
Let q be -5 + -8 + -3 + 1. Suppose -205 = -5*m + z - 2*z, m + 5*z - 41 = 0. Let x = q + m. Solve -3*g + 7 + 13 = 5*p, 0 = 5*g + p - x for g.
5
Let x be 23/(-2) + 5/10. Let j = x + 15. Solve -2*w + 2*a + 12 = 0, w - j*a = -4*w + 25 for w.
1
Let d = 17 - 15. Solve 0 = -2*h + 5*s + 23, 3 = -d*h - 5*s - 24 for h.
-1
Let q be 10/(-4)*(-4)/2. Solve -2*w + 2*m = -20, -4*w = w + q*m for w.
5
Suppose 4*h - 5*u + 13 = 0, -2*h - 8 = -3*h - u. Solve -l - 2*k - 3 = 3, 5*k = h*l - 4 for l.
-2
Let u(k) = 2*k + 1. Let t be u(0). Solve i - 4*q = -15, i - t + 19 = 5*q for i.
-3
Let n be (-92)/(-12) - (-2)/(-3). Let b = 15 - 4. Let z = 20 - b. Solve -2*x + f = -z, -x - n = 3*x + 3*f for x.
2
Suppose k = 4*k + 21. Let o = 2 - k. Let a(w) = -w**2 + 11*w - 13. Let c be a(o). Solve 5*s - c = 0, -2*v - s - 2 + 1 = 0 for v.
-1
Suppose s = r + 5, -4*s + 3*r + 17 = -0*s. Suppose m - 7*o - 11 = -2*o, -2*m + o = -4. Let q be (-6)/(-3) + m + s. Solve -h = -d, 2*h - 12 = -0*h + q*d for h.
-4
Suppose 4*q = -20 + 32. Solve -4*i = 3*p - 6, 0 = q*i - p - 3*p - 17 for i.
3
Suppose 0 = -2*i, 5*a + 0*i - 5*i = 60. Solve 0 = -x - x + 2*t - a, 2*x + 5*t - 23 = 0 for x.
-1
Suppose 3*k + 170 = 5*u, -5*k + 4*k = -u + 32. Suppose -u = -3*m + 5. Solve -m = -5*h - 2*r, -3*r + 14 = h + 3*h for h.
2
Suppose -7 - 1 = -2*m. Suppose -3*k + m*k = 2. Let q be 6 + 0/(0 - -2). Solve -p = k*x + 13, q - 1 = 2*x - 5*p for x.
-5
Suppose 4*x + 2*p = 0, 2*x - 5*p + 11 = x. Let b(g) = -8*g - 6*g + 21*g - 9*g. Let r be b(x). Solve 4*w + 6*c - r*c = 12, 0 = 3*w + c - 7 for w.
2
Let j = 32 + -16. Let n = 20 - j. Solve n*o - 12 = 0, h - 4*o = -5 - 6 for h.
1
Let r(t) = -3*t - 8. Let j be r(-6). Let s(n) = -3*n - 2. Let i be s(-4). Let b = i + -3. Solve -5*l + h + b = -3*h, 2*l + 2*h - j = 0 for l.
3
Suppose -8*w + 12 = -4*w. Solve 0 = -2*r - w*x - 2*x + 13, -x = -3 for r.
-1
Suppose -2*u - 2 = 5*s - 3*s, -9 = 4*s + 5*u. Let l be ((-5)/4)/(1/4). Let z = l - -11. Solve 5*q = -s*o - 5, 3*q + o - 20 = z*q for q.
-5
Suppose -4*v - 4*g = -8, -2*v + 0*v - 3*g + 7 = 0. Let i = 2 - v. Suppose i*m - 11 = 4. Solve -2*k - k = m*z + 8, -3*z - 5*k - 8 = 0 for z.
-1
Let n(p) = -p**2 - 10*p + 11. Let k be n(-11). Solve -6 = -5*f - 2*g, -5*f + k*g = -2*g + 6 for f.
0
Let u = 19 + -28. Let q = 6 - u. Solve 0 = -3*b + q, 2*d = -0*b - 2*b + 20 for d.
5
Let q = 14 - 10. Suppose 0 = -q*a + a + 3. Let w = 1 + 2. Solve 5*p = w*n - 26, 4*n - 11 = p + a for n.
2
Let z be -10*(-1 - (-15)/25). Solve -16 = -4*f, -y + z*f - 4 = 11 for y.
1
Let p(z) = z**2 + 6*z + 8. Let w be p(-5). Solve 2*g = -b - 3, w*b + 3*g - g = -1 for b.
1
Let n(y) = -y**3 - 6*y**2 - 6*y - 5. Let o be n(-5). Let x(s) = -s + 2. Let c be x(o). Suppose 23 + c = 5*q. Solve -q*t + 1 = 3*w, 0*t + 4*t = 5*w - 14 for w.
2
Suppose -7*a + 2*a = 0. Solve -5*j = 4*f + 1, -5*j - f + 11 = -a*f for j.
3
Let k = 0 - -12. Let p = 15 - k. Solve -p*a = g - 15 - 1, 5*g - 16 = a for a.
4
Let w(d) = d**2 + 15. Let p be w(0). Suppose 0*o = 3*o - 6. Suppose 0 = 3*s - 4*i - 8, 2*i + o = 3*s + i. Solve -4*g + g - 2*y = -p, 2*g + 4*y - 10 = s for g.
5
Let b be 2/10 - 59/(-5). Let z be b*6*2/16. Solve 0 = -3*i - w + 2, -4*i = -3*w + 2*w + z for i.
-1
Let x be ((-3)/(-2 - -3))/1. Let d = -2 - x. Suppose -2*t - d = -3. Solve 0 = -3*q - 2*u - t, -4*q + u - 19 = q for q.
-3
Let y = -2 - -7. Solve -3*v + l + 18 = 4*l, y*v = l + 12 for v.
3
Let b be 246/22 + 8/(-44). Solve 0 = -3*d - p + b, d + 2 = -4*p + 13 for d.
3
Suppose -4*t - 3*u + 0 - 2 = 0, t + 3*u = -5. Solve -3*n - n = -4*v - 4, v = -4*n - t for v.
-1
Let f be (-2)/((-32)/20 + 2). Let u = f + 11. Solve -u = -4*l + 5*i - 27, -3*i = -l - 14 for l.
1
Let i(g) = -g**2 - 3*g + 3. Let s be i(-3). Suppose -1 = -s*b + 8. Solve -3*z + b*f = -24, 20 = -0*f - 4*f for z.
3
Suppose 5*z - 28 = 2. Suppose n = -n - 5*k + z, 0 = -n - 5*k + 3. Solve 2*i + 0*i + 4 = 0, -14 = 4*y - n*i for y.
-5
Let i(l) = -l + 9. Let w be i(12). Let c = -3 + 4. Let r = c - w. Solve -r*d = -3*j + 8, -j + 3*j + 6 = -3*d for j.
0
Let p(x) be the second derivative of x**3/6 + x**2 - x. Let m be p(0). Let k be ((-3)/m)/(1/(-2)). Solve k*y - 21 = 5*o - 1, 4*y = -o + 19 for y.
5
Let u = -16 - -19. Solve 0 = f - 5*q + 25, -4*f - u = -q + 2 for f.
0
Suppose 9*f - 35 = 4*f + 5*q, -5*q - 15 = 5*f. Suppose 3*g - f = -8. Let s be 21/((-9)/(-3)) + g. Solve 8 = -5*c + 2*m, -3*m + 0 + 7 = -s*c for c.
-2
Let i = 31 + -13. Let b = i + -5. Solve 0 = -0*n - 2*n - 3*c - b, 0 = -4*n - c - 1 for n.
1
Let l(q) = -q**3 - q**2 - q + 7. Let p = 6 + -6. Let m be l(p). Solve -2*a - m = 3*t, 5*a = 3*t + t - 6 for t.
-1
Let o(c) = -c**2 - 12*c - 1. Let l be o(-11). Solve -2*r + 0 = -3*f - l, -r + 3*f + 11 = 0 for r.
-1
Suppose -5*n = -5*d - 105, -2*d - 3*d = 5.
|
{
"pile_set_name": "DM Mathematics"
}
|
uries.
0.0021392575
How many litres are there in 0.1420181 millilitres?
0.0001420181
How many nanoseconds are there in 1/10 of a microsecond?
100
How many micrometers are there in 7/4 of a centimeter?
17500
What is 3/25 of a litre in millilitres?
120
How many millilitres are there in 8/25 of a litre?
320
Convert 52.799364us to hours.
0.00000001466649
Convert 467050.3us to milliseconds.
467.0503
How many nanometers are there in 753.9592um?
753959.2
What is three tenths of a hour in minutes?
18
How many years are there in 26991.783 months?
2249.31525
What is 31/5 of a centimeter in micrometers?
62000
What is 185756.31 hours in days?
7739.84625
How many millimeters are there in one fifth of a centimeter?
2
How many years are there in eleven quarters of a century?
275
How many years are there in 17/4 of a century?
425
How many kilometers are there in 6606.637 meters?
6.606637
How many seconds are there in eighteen fifths of a hour?
12960
How many weeks are there in 22783.621 days?
3254.803
How many millilitres are there in one quarter of a litre?
250
What is nine tenths of a kilogram in grams?
900
How many meters are there in 61/2 of a kilometer?
30500
How many milligrams are there in 13/5 of a gram?
2600
How many millilitres are there in eleven halves of a litre?
5500
How many litres are there in 20376.11 millilitres?
20.37611
How many milliseconds are there in five sixths of a minute?
50000
Convert 72.42566 litres to millilitres.
72425.66
Convert 26.35142 meters to micrometers.
26351420
How many millilitres are there in 888407.4l?
888407400
What is 29/5 of a decade in months?
696
Convert 1.2248937 months to centuries.
0.00102074475
What is 4.982003 micrometers in meters?
0.000004982003
How many millilitres are there in 17/4 of a litre?
4250
How many millimeters are there in 1335.139cm?
13351.39
How many millilitres are there in fifteen quarters of a litre?
3750
What is 5172.29km in millimeters?
5172290000
What is sixty-one quarters of a year in months?
183
Convert 318.9935l to millilitres.
318993.5
What is 9.996029 millimeters in micrometers?
9996.029
How many micrograms are there in 1/20 of a gram?
50000
How many micrograms are there in 7.51219g?
7512190
How many hours are there in sixty-four thirds of a week?
3584
Convert 2.172467 days to minutes.
3128.35248
How many grams are there in 1/10 of a kilogram?
100
Convert 0.0241262 milligrams to tonnes.
0.0000000000241262
What is 640.585 meters in centimeters?
64058.5
Convert 8153.338cm to nanometers.
81533380000
What is 21/2 of a millennium in centuries?
105
How many litres are there in 0.0542918ml?
0.0000542918
Convert 0.5233787 kilometers to millimeters.
523378.7
How many months are there in 17/2 of a decade?
1020
How many kilometers are there in 62.10147um?
0.00000006210147
How many decades are there in 1.032009 years?
0.1032009
What is 8.6745159 seconds in hours?
0.00240958775
What is twenty-six fifths of a centimeter in micrometers?
52000
How many decades are there in 90.61041 centuries?
906.1041
What is 53/5 of a tonne in kilograms?
10600
How many seconds are there in six fifths of a minute?
72
Convert 5395.71564 seconds to weeks.
0.0089214875
What is 27/2 of a tonne in kilograms?
13500
Convert 90424.53 microseconds to seconds.
0.09042453
What is thirty-three fifths of a litre in millilitres?
6600
Convert 7.8235803s to hours.
0.00217321675
What is thirty-seven halves of a centimeter in millimeters?
185
How many nanograms are there in 3/5 of a microgram?
600
Convert 42735.19um to kilometers.
0.00004273519
How many nanoseconds are there in 5/4 of a microsecond?
1250
How many litres are there in 674042.2ml?
674.0422
Convert 634.137ml to litres.
0.634137
What is 13/8 of a gram in milligrams?
1625
What is 0.5142103 meters in kilometers?
0.0005142103
How many millilitres are there in 5215.393l?
5215393
How many hours are there in 398558.4 weeks?
66957811.2
How many millennia are there in 1239072.9 months?
103.256075
How many years are there in 508.6785 months?
42.389875
How many milliseconds are there in 3/25 of a second?
120
What is 15/4 of a tonne in kilograms?
3750
What is 11128.6 nanometers in micrometers?
11.1286
What is 338.0794nm in kilometers?
0.0000000003380794
What is twenty-nine fifths of a centimeter in millimeters?
58
Convert 44.31057 years to months.
531.72684
What is 3/10 of a week in minutes?
3024
How many milliseconds are there in 1/15 of a minute?
4000
What is 775610.19 microseconds in hours?
0.000215447275
How many nanometers are there in one quarter of a micrometer?
250
Convert 0.504638 kilometers to nanometers.
504638000000
Convert 37147.34ng to micrograms.
37.14734
What is 4.047294l in millilitres?
4047.294
How many grams are there in 59/5 of a kilogram?
11800
How many tonnes are there in 0.2655424 micrograms?
0.0000000000002655424
What is 1/20 of a tonne in kilograms?
50
How many milligrams are there in 3/25 of a gram?
120
What is twenty-five quarters of a micrometer in nanometers?
6250
Convert 342018.1g to tonnes.
0.3420181
What is three eighths of a kilogram in grams?
375
Convert 172.8580392ns to weeks.
0.00000000000028581025
How many decades are there in 314573.4 months?
2621.445
What is 3/25 of a litre in millilitres?
120
How many milliseconds are there in 659037.1 hours?
2372533560000
How many microseconds are there in 9/10 of a millisecond?
900
Convert 32634.1m to millimeters.
32634100
What is 0.3141971 millennia in months?
3770.3652
How many micrometers are there in seven quarters of a centimeter?
17500
What is 12081.363 hours in weeks?
71.912875
How many days are there in twelve sevenths of a week?
12
How many micrograms are there in 609.232g?
609232000
How many nanometers are there in 2/125 of a micrometer?
16
What is 69.79373mg in grams?
0.06979373
What is 878.6562 micrograms in nanograms?
878656.2
What is 29/6 of a hour in seconds?
17400
How many hours are there in eighty-one halves of a week?
6804
How many decades are there in 17/2 of a century?
85
What is 11/4 of a week in minutes?
27720
What is 9.493823 millennia in months?
113925.876
What is 1/20 of a millennium in months?
600
How many millilitres are there in 34/5 of a litre?
6800
How many tonnes are there in 0.6809054g?
0.0000006809054
How many years are there in 29/2 of a decade?
145
What is 5/4 of a week in minutes?
12600
Convert 556238.4 years to decades.
55623.84
What is 13.5424 decades in millennia?
0.135424
What is one quarter of a gram in milligrams?
250
What is 850312.4ml in litres?
850.3124
What is 2884.684 decades in centuries?
288.4684
What is 3/10 of a millimeter in micrometers?
300
How many grams are there in fourty-eight fifths of a kilogram?
9600
What is 41/2 of a kilogram in grams?
20500
How many kilograms are there in 9/10 of a tonne?
900
How many milligrams are there in 90.8155 tonnes?
90815500000
What is eleven halves of a millennium in centuries?
55
How many litres are there in 1563.428ml?
1.563428
What is 4009.734 kilometers in nanometers?
4009734000000000
How many months are there in sixty-seven fifths of a century?
16080
How many litres are there in 0.9980161ml?
0.0009980161
Convert 0.733882l to millilitres.
733.882
How many seconds are there in three tenths of a hour?
1080
What is 1/5 of a tonne in kilograms?
200
What is 9.16862 centuries in decades?
91.6862
How many millilitres are there in 3/5 of a litre?
600
How many grams are there in 13/5 of a kilogram?
2600
How many millilitres are there in 210.4263l?
210426.3
What is 414766.7ml in litres?
414.7667
Convert 11027.17098 milliseconds to weeks.
0.00001823275625
What is 1504.65 millilitres in litres?
1.50465
What is 3/50 of a tonne in kilograms?
60
What is 80.68533ml in litres?
0.08068533
How many months are there in 1958.103 years?
23497.236
Convert 48614.3nm to kilometers.
0.0000000486143
What is 0.6590333 days in nanoseconds?
56940477120000
How many centimeters are there in 1/16 of a kilometer?
6250
How many kilograms are there in thirteen fifths of a tonne?
2600
How many litres are there in 0.023215ml?
0.000023215
How many seconds are there in 639335.2 minutes?
38360112
How many weeks are there in 46.3550661 milliseconds?
0.00000007664528125
What is 4992.595mg in tonnes?
0.000004992595
How many grams are there in 423.8109 mi
|
{
"pile_set_name": "DM Mathematics"
}
|
to -357 in -0.1, 3/5, 0.01, -1.77?
-1.77
What is the nearest to 0 in 0.4, 156.7, 3/2, 3, -3/22?
-3/22
Which is the nearest to 1178? (a) 0.4 (b) -93 (c) 4 (d) -0.04
c
Which is the nearest to 0.1? (a) 3/4 (b) 1/3 (c) -0.1874 (d) 714 (e) 1
b
What is the closest to 0.172 in -1, 4, -1.9, -34, -5?
-1
Which is the closest to -0.1? (a) 4 (b) -280 (c) -1146 (d) 23/11
d
Which is the closest to 46? (a) -31 (b) -1 (c) 0.5 (d) -106 (e) 5
e
Which is the closest to -0.1? (a) -729576 (b) 1 (c) -1/11 (d) -2/9 (e) -2
c
What is the closest to 2064 in 2, -8, -1/16, -5?
2
What is the closest to -13 in 10179, 4, 0.3, -5?
-5
Which is the nearest to 6.5? (a) 10/3 (b) -20 (c) -0.3 (d) 4/5 (e) 8
e
Which is the closest to -1/4? (a) 575 (b) 3/104 (c) -0.2 (d) -2 (e) -1/4
e
What is the closest to -8132 in -0.2, 867, 0.3?
-0.2
What is the closest to 11 in -744, 5, 0.1, -0.5?
5
Which is the nearest to 1209? (a) -0.1 (b) -3/10 (c) 0.3 (d) -0.2 (e) 4
e
Which is the nearest to -0.5? (a) -0.0433 (b) -2/5 (c) 523
b
What is the nearest to -79 in -0.15, -13, 31?
-13
Which is the closest to -2? (a) 2 (b) -1/3 (c) -40/3 (d) 0.2 (e) -48 (f) 31
b
What is the nearest to -9 in -4, 39, -0.2, 1, -6/7, -7?
-7
What is the nearest to -0.9 in 34/3, -184, 7?
7
Which is the closest to -2? (a) 40 (b) -3/11 (c) 66 (d) 104
b
What is the closest to -0.374 in 3.7, 1409, 0?
0
What is the closest to 3 in 0.2, 3/4, -54, 0.1, -100?
3/4
What is the nearest to 1 in 2, -196, -5, 4, -1/67?
2
Which is the nearest to -10690? (a) -4 (b) -1302 (c) 5
b
What is the nearest to 2117 in 2/17, 5, 102/11?
102/11
Which is the nearest to 2? (a) 470/7 (b) 0.3 (c) -1/4 (d) -2 (e) 0.042
b
Which is the closest to 0.1? (a) 0.4 (b) -0.5 (c) 1212052 (d) -3
a
Which is the nearest to -345.6? (a) 0.3 (b) -0.4 (c) -0.2 (d) -0.1 (e) -2
e
What is the nearest to -0.017 in 1923, 0.5, -5, 0.4?
0.4
Which is the nearest to -3? (a) -10 (b) 52 (c) -2496
a
Which is the nearest to 0.05? (a) 3/443 (b) 11 (c) 5
a
Which is the closest to 20/31? (a) -2/7 (b) -54 (c) -4
a
What is the closest to 114 in -51/2, 28, 1/20?
28
What is the closest to 36/7 in -0.14, -2, -66, -405?
-0.14
What is the nearest to -14 in 9, 2, -35/6, 0.5, 5?
-35/6
What is the closest to -0.3 in -4, -189, 1262, 5?
-4
Which is the nearest to 0.1? (a) -1/14 (b) 7 (c) 0.3 (d) 2/67 (e) 6/5 (f) 0.08
f
Which is the nearest to -74? (a) 4 (b) -3/2 (c) 281 (d) 5 (e) -4 (f) 0.03
e
What is the closest to -1 in -0.5, 2/3, 23, 745, -0.1961, -4/9?
-0.5
Which is the nearest to -7/47? (a) 2/13 (b) -0.4 (c) 6/31 (d) 0.078
d
What is the closest to 2/423 in 1/6, -3, -121, -5, 0.1?
0.1
Which is the closest to 2? (a) 2 (b) 89 (c) 2/5 (d) -0.15 (e) -2/5
a
What is the closest to 1/4 in 1, -3, -131, -2/11, -52?
-2/11
Which is the closest to 0.234? (a) -1/196 (b) 5/2 (c) 0.1
c
What is the nearest to -3 in -3.56, 4/315, 0.4?
-3.56
What is the nearest to -32/53 in 30, -0.3, -0.1, 0.2?
-0.3
What is the closest to 1/7 in -441, -0.12, 16, 1/5?
1/5
What is the closest to 0.01 in 76, 7/66, -0.24?
7/66
What is the closest to -4/13 in 0.1, 0.98, -4, 219?
0.1
What is the nearest to 2/77 in -0.0853085, -0.4, -1?
-0.0853085
Which is the nearest to 1? (a) -1/4 (b) -555679 (c) 0 (d) -3
c
What is the closest to 1 in 26, 3, -2/1101, -1/60, -2.8?
-2/1101
Which is the closest to -2/7? (a) 1/3 (b) 0.1 (c) -28 (d) -2311 (e) 6
b
What is the nearest to -0.1 in 5665, -0.1, 0.03, 274?
-0.1
What is the nearest to -1 in 0.2, -0.975858, -12, 1/3?
-0.975858
Which is the closest to -0.933? (a) -1/36 (b) 2 (c) 0.028
a
What is the closest to 2 in -3.9, 0.5, -4, 5, 0.12?
0.5
Which is the nearest to 544? (a) 2.522 (b) -0.4 (c) 6 (d) -0.1
c
Which is the nearest to 2/7? (a) 1972/19 (b) -0.2 (c) -2 (d) 0.5
d
What is the closest to 2199 in -12, -0.018, 13?
13
Which is the nearest to -0.1? (a) -0.04 (b) 1/5 (c) 1 (d) -1042
a
Which is the nearest to 1/3? (a) -1819 (b) 1/5 (c) 342 (d) -29
b
What is the closest to 0 in -2, -0.121, 81, -1/2?
-0.121
What is the nearest to -1 in 2.1631, 4, 13/3, -7?
2.1631
What is the closest to -93 in -4, 2/1415, -2/7, 14, -2?
-4
What is the closest to -1 in 1/4, 17210, -248, 4?
1/4
Which is the closest to -1? (a) 4 (b) 27 (c) 3 (d) -71 (e) 1477
c
What is the nearest to -6 in 6, -8, 0.2, -1, 0.5?
-8
What is the nearest to 0.15 in -984/11, -13, 0.03, 0.3, -2?
0.03
Which is the nearest to -3/7? (a) -2/13 (b) -84 (c) -22 (d) -0.35 (e) 0.2 (f) -1
d
What is the closest to -1 in -0.471, 5, 6, 0, -18?
-0.471
What is the closest to -1.16 in -33, -9, 2/9, 1/4, 5?
2/9
Which is the nearest to 2? (a) -823 (b) -24.7 (c) -1/7
c
Which is the nearest to 16/3? (a) -1/322 (b) 0.1 (c) 4/9 (d) -5/2
c
Which is the nearest to -22? (a) 2/653 (b) 0.1 (c) -6/47 (d) 29
c
Which is the nearest to -28? (a) -1/9 (b) 22 (c) -18
c
Which is the nearest to -1/3? (a) 1/5 (b) 323149 (c) -4 (d) 1/8
d
Which is the closest to -50? (a) 0.5 (b) 0.1 (c) 2 (d) -2/7 (e) 122
d
Which is the nearest to 0.53269? (a) -2/27 (b) -4 (c) 1
c
Which is the closest to -109084? (a) -7 (b) -4 (c) -0.5
a
What is the closest to -0.1 in -4/5, -5, -4/3, 5, 0.0908, -1/3?
0.0908
What is the closest to -2/1547 in -0.3, 3, 0.176, -14/5, -2/13?
-2/13
What is the nearest to -1 in -0.2, 3/2, 4, 5/2, 300305?
-0.2
Which is the closest to -1/2? (a) -4 (b) -212 (c) 2/19 (d) 0 (e) 0.18
d
What is the nearest to 1 in 3/23, -13, 291, -2/9?
3/23
What is the nearest to 3 in -0.066, 2/19, 3094?
2/19
Which is the closest to 1/4? (a) 3 (b) -1189 (c) -331 (d) 5
a
What is the closest to -1.8 in -86/39, -4.1, 5/2, -2/3?
-86/39
What is the closest to 1 in -1.1, 2/11, -0.08, 0.035, -1?
2/11
What is the nearest to 2/3 in 1/5, 6/11, 2321/13, 3?
6/11
What is the nearest to 200 in -1/27, -0.5, -0.13?
-1/27
Which is the nearest to -2? (a) 0.2 (b) 3 (c) 6 (d) -248
a
What is the nearest to 0.1 in 37/283, 0.71, 0.15?
37/283
What is the closest to -43/8 in -195/4, -6, 0.2, 4?
-6
What is the closest to -856 in -2/147, -1, -43, -0.4?
-43
What is the nearest to 3 in 3, -1, -0.18733, 0.5?
3
Which is the nearest to 1? (a) 1/3 (b) -6/31 (c) 0 (d) -0.02 (e) 36.47
a
Which is the closest to -2515? (a) 6.4 (b) 4 (c) 0.4 (d) -5
d
What is the nearest to 1 in 1/5, -3, 5566239, 0.6?
0.6
What is the closest to -0.7 in -2268, -274, -10, -5?
-5
Which is the closest to 2/11? (a) 5 (b) -1 (c) -5 (d) 5.14 (e) -31/3
b
What is the nearest to 0.1 in 1, -1/5, 1697, -17.2, 1/2?
-1/5
Which is the nearest to -1? (a) -0.5 (b) -1161100 (c) 23 (d) -2/7
a
Which is the nearest to -175? (a) -0.4 (b) 2/41 (c) 1/7
a
What is the closest to 178/11 in -23, -7, 1/6?
1/6
Which is the nearest to -1288? (a) -2/3 (b) 402/43 (c) 0 (d) 0.1
a
What is the nearest to -1 in -71, 269260, 2?
2
Which is the nearest to 23868? (a) -3 (b) -1/5 (c) 1564
c
What is the closest to -2/53 in 1.7, -1/4, -15, 5/3, -0.2?
-0.2
What is the nearest to 2/5 in -1/4, -27302/449, 0.3, 3?
0.3
Which is the closest to -15? (a) 4 (b) -13 (c) 0.5 (d) -775 (e) -2/5 (f) 5
b
Which is the nearest to -229/4? (a) -2.6 (b) -782 (c) -0.5
a
Which is the closest to 1? (a) 1041.1 (b) -2 (c) 0.1 (d) -0.1 (e) 0.05 (f) 2
c
What is the nearest to 861/4 in -6/5, 0.335, 2/9?
0.335
What is the nearest to -8 in 1155, -0.2, -0.14, -1/4?
-1/4
What is the nearest to -2/3 in -1.5, -26, -0.9?
-0.9
What is the nearest to 20 in 0.0518, 0.23, 7/13, 1/4?
7/13
Which is the closest to -2/9? (a) 0.2 (b) -7 (c) 1 (d) 1/5992 (e) -5 (f) 0.3
d
What is the nearest to -5 in -3.63, -1/3, 653?
-3.63
Which is the closest to -6? (a) 4 (b) 83 (c) -0.08 (d) 1 (e) 0.3 (f) -0.2
f
What is the nearest to -1.8 in 2, 5, 177, -1679?
2
What is the nearest to -2 in 2/3, -1, 0.09, -18, -0.35?
-1
Which is the nearest to 0.1? (a) -5/7 (b) -4 (c) 617
a
Which is the closest to -935? (a) -2 (b) 84.19 (c) 3
a
Which is the nearest to -0.2? (a) 2 (b) 3.5 (c) -0.4 (d) -875 (e) -4
c
What is the closest to 0 in -46/5, -10, 191.2?
-46/5
What is the nearest to -0.1 in 17, 2/5, -3382.7, 2/11, 0.59?
2/11
What is the closest to -18 in 0.15, -4, -1, -12?
-12
What is the closest to 71/7 in 2/119, 8,
|
{
"pile_set_name": "DM Mathematics"
}
|
ors of (-46)/m + 2/8.
2, 3
Let c = -94 - -257. What are the prime factors of c?
163
Let h(o) = o**2 - 2*o - 5. Let q be h(-4). Let v = 34 - q. What are the prime factors of v?
3, 5
Let n(x) = 7*x - 2. Suppose z + 2 = -3*t + 1, 3 = -3*t. List the prime factors of n(z).
2, 3
Let j(a) = 4*a + 2. Suppose -z - z = -8. List the prime factors of j(z).
2, 3
Suppose -2*v + 2 + 6 = 0. List the prime factors of v.
2
Let f be 65/(-2) + 1/(-2). Let l be f*1*(-3)/9. Let j = -7 + l. What are the prime factors of j?
2
Let a(v) be the third derivative of -v**4/24 - 11*v**3/6 - 2*v**2. What are the prime factors of a(-13)?
2
Let i(u) = u**3 + u**2 + u. List the prime factors of i(2).
2, 7
Let v = 88 + -34. List the prime factors of v.
2, 3
Let z(j) = -j**3 - 6*j**2 + 7*j. Let l be z(-7). Suppose l = h + 3 - 7. What are the prime factors of h?
2
Let c be 52 + (5/(-1) - -3). Let p = 0 + c. List the prime factors of p.
2, 5
Let o(t) = t - 2. Let b be o(8). List the prime factors of 0 - 0 - (-13 - b).
19
Let l(v) = -v + 3. Let j be l(6). Let z = 13 - 8. List the prime factors of z/(j/(6/(-2))).
5
Suppose -23 = p - 59. What are the prime factors of p?
2, 3
Suppose 0 = 3*s + s - 100. List the prime factors of s.
5
Let m(t) = 0*t - 17*t - 1 + 2*t. Let x be m(-1). Suppose 0 = 3*k - x + 2. What are the prime factors of k?
2
Let s = 253 - 40. List the prime factors of s.
3, 71
Let x(c) = 6*c + 78. What are the prime factors of x(26)?
2, 3, 13
Let p(q) = q + 2. Let b(s) be the second derivative of s**4/12 + 2*s**3/3 - 3*s**2/2 - 4*s. Let u be b(-6). List the prime factors of p(u).
11
Suppose 0*u = -u - 9. Let p = 14 + u. List the prime factors of p.
5
Suppose -4*s - 4*m = -9*m - 7, -m - 14 = -5*s. Let i = 2 + s. Suppose -r + 1 = -i. List the prime factors of r.
2, 3
Suppose 4*n - 5*n = -41. List the prime factors of n.
41
Suppose 2*c + 12 = 4*c. Suppose -2*k + c = -k. List the prime factors of k.
2, 3
Let t(i) = 3*i + 10*i - i**2 - 6 - 2. List the prime factors of t(11).
2, 7
Suppose 2*a + 4*s - 12 = 0, 3 = -5*a + 5*s - 4*s. Suppose -5*t + 7*t - 6 = a. What are the prime factors of t?
3
Let j(g) = -1 - g + 7*g - 4*g + 0 + 8*g**2. What are the prime factors of j(1)?
3
Suppose 1 = 2*c - 5. Let k(m) = -m**3 - 2*m**2 - 4*m - 2. Let h be k(-2). Suppose h = q + c. List the prime factors of q.
3
Let y(a) = a**3 + 7*a**2 - 1. Let o be y(-4). Let b = o - 29. What are the prime factors of b?
2, 3
Suppose -3*x - 5 = -4*m, 0 = -7*x + 2*x - 3*m + 40. Suppose -3*q + x*q - 12 = 0. Suppose 2*z + q = 4*c, -3*z - 3*c + 15 = -3. List the prime factors of z.
3
Suppose -5*i = -4*f - 10, 10 = 5*i - 3*f + 2*f. Suppose 12 = d - 3*n, i*d + 2*n - 30 = 2. What are the prime factors of d?
3, 5
Let f = 4 + 5. Let v(y) = -y**2 - y + 13. Let i be v(0). Let u = i - f. What are the prime factors of u?
2
Suppose 0*r = 2*r + 52. Let m be r/(-7) - (-2)/7. What are the prime factors of (-52)/(-9) - m/(-18)?
2, 3
Let r be (9/6)/(6/16). Let g = 8 - r. What are the prime factors of g?
2
Let k = -125 + 206. List the prime factors of k.
3
Let a = -29 - -21. Let n = a + 8. Suppose n = -5*t - 10 + 60. What are the prime factors of t?
2, 5
Suppose 4*f = -k + 3*k - 6, 0 = -5*k - 5*f + 45. Let a = k - 1. Let t = 4 + a. List the prime factors of t.
2, 5
Let u = 237 + -112. List the prime factors of u.
5
Suppose y + 5*w + 14 = -6, 3*y + w - 10 = 0. Suppose y + 19 = 3*l. List the prime factors of l.
2
Let h = -16 + 4. Let x(k) = -k + 1. What are the prime factors of x(h)?
13
Let q(j) = -j**2 - 6*j - 3. Let k be q(-5). Let r be 63/6*(k - 0). Let p = r - 13. List the prime factors of p.
2
Suppose 75 - 4 = h. What are the prime factors of h?
71
Let r(c) = c**2 - c. Let l be r(-2). Let b be (-2)/3 - (-10)/(-3). Let v = l + b. List the prime factors of v.
2
Let g = -369 - -643. List the prime factors of g.
2, 137
Suppose -5*n + n + 8 = 0. Let h be 108/8 + (-1)/n. List the prime factors of (-1 - 1) + 4 + h.
3, 5
Suppose 0*l + 2*l + 24 = 4*j, -3*l - 5*j - 69 = 0. Let z = l - -54. Let s = -21 + z. List the prime factors of s.
3, 5
Let l = 7 - 6. Let v = 15 - l. What are the prime factors of v?
2, 7
Suppose 0 = -0*d + 3*d - 231. List the prime factors of d/3 + 8/(-12).
5
Let p = -10 - -19. Suppose 2*y - 4 = -3*v, 3*v - 5*y = -2*v + 15. Suppose k - p = -v. What are the prime factors of k?
7
Let l = -27 - -79. What are the prime factors of l?
2, 13
Let s(k) = 2*k**2 - 23*k - 8. List the prime factors of s(18).
2, 113
What are the prime factors of 110/9 + (-26)/117?
2, 3
Suppose -3*v + 2*x + 399 = 0, -3*x - 661 = -5*v - x. List the prime factors of v.
131
Suppose 3*u = -u - 4. List the prime factors of u/1*(-5 + -1).
2, 3
Suppose 4*b = k - 86, 2*b - 132 = -2*k - 0*k. List the prime factors of k.
2, 5, 7
List the prime factors of (72/(-3))/(6/(-48)).
2, 3
Suppose 0 = 4*r + j - 5*j + 216, j + 96 = -2*r. Let d = 71 + r. What are the prime factors of d?
3, 7
Suppose 4*s - 3 = -23, s - 171 = -4*l. What are the prime factors of l?
2, 11
Let a(i) = i**2 - 5*i - 2. Suppose -3*c = -2*k - 2*k + 111, 0 = k + 5*c + 1. Suppose -6 = -h - 0*h + 3*y, 3*y - k = -4*h. List the prime factors of a(h).
2
Let y(f) = 5*f**3 + 17*f**2 + 10*f - 12. Let k(n) = 4 - 3*n**2 - 2*n**3 - 5*n - 5*n**2 + 2. Let i(g) = 7*k(g) + 3*y(g). List the prime factors of i(6).
2, 3
Suppose -220 = 3*v - 6*v + 4*c, -147 = -2*v + 3*c. What are the prime factors of v?
2, 3
Suppose -3*u + 3 = 0, 3*l - 1 = 5*u - 6. Suppose l*n - 2*n + 8 = 0. Suppose n*a = -j + 27, 4*a - 15 = 2*a - j. List the prime factors of a.
2, 3
Suppose -3 - 1 = -2*d. Suppose -5*m + 5 = -g, -5 = g - 0. Suppose d*v - v - 19 = m. What are the prime factors of v?
19
Let k = 14 - 25. Let j = 4 - k. What are the prime factors of j?
3, 5
Suppose 0 = -5*y + 30 - 145. Let s = y + 47. What are the prime factors of s?
2, 3
Suppose 0 = -5*q + 5*u + 65, -4*u + 14 = 5*q - 24. Suppose -g = -7 - q. What are the prime factors of g?
17
Let m(p) = p - 2. Let u be m(4). Suppose -z = 3*w + 14, -u*z + 0*z = 3*w + 19. Let q = 6 + w. List the prime factors of q.
3
Let v(y) = -3*y + 58. List the prime factors of v(-27).
139
Let u = -2 - -7. Suppose -3*v + 2 = 11, 42 = 3*g + u*v. List the prime factors of g/7 + 2/7.
3
Suppose r = -5*u - 18, -26 = 4*u - 2*r - 3*r. Let c be (-1)/5 - u/20. Suppose c*o - 8 = -o. List the prime factors of o.
2
Let j(p) = p**2 + p - 3. Let a be j(-3). Suppose 2*c - 3*c = -a. List the prime factors of c.
3
Suppose 0 = 4*u - 21 - 11. Let i(f) = 5*f - 8. List the prime factors of i(u).
2
Let q = 15 - 8. Suppose 2*c - c - 8 = 0. Suppose c = 5*k - q. List the prime factors of k.
3
Suppose 328 + 85 = 7*a. List the prime factors of a.
59
Suppose -4*y - 36 = -0*t - 2*t, 4*y + 60 = 4*t. Let s be (-8)/t + 11/3. Suppose s*k = 0, 6 = r + 5*k - 5. List the prime factors of r.
11
Suppose -7*q - 2*q + 1953 = 0. List the prime factors of q.
7, 31
Let y = 46 + -28. Let c = -5 + y. What are the prime factors of c?
13
Suppose 3*u + 3*i = 42, 4*u - 96 = i + 3*i. List the prime factors of u.
19
Suppose -5*m = -2*m - 3. Suppose -57 = -4*h - m. Suppose 5*n = -0*n + 5, h = 5*a + 4*n. What are the prime factors of a?
2
Let u = -12 + 22. What are the prime factors of (-3 - u)/(3/(-6))?
2, 13
Suppose -924 = 2*p - 6*p. What are the prime factors of p?
3, 7, 11
Suppose -45 = -4*w - 17. Suppose -z - z + 5*k + w = 0, 3*z - 21 = 4*k. Suppose -j + 2 = 4*m, -j = -5*m - z - 0. What are the prime factors of j?
2, 3
Let t = -168 - -215. What are the prime factors of t?
47
Let z(s) = 2*s**3 - 4*s + 3. Let d(q) = q**2 + q + 2. Let o be d(0). List the prime factors of z(o).
11
Let y be (-38 + 39)/(-1 + 8/6). Let x(c) be the second derivative of c**4/6 - c**3/3 - c**2/2 + c. What are the prime factors of x(y)?
11
Suppose -4*s + u + 8 = -7, 3*s - 3*u - 18 = 0. Suppose -f + 24 = h, 0 = 5*h - 0*f - s*f - 80. List the prime factors of h.
19
Let f(y) = y**2 - 6*y - 3. Let x be f(7). Suppose 2*j - j = 3*z + 42, -x*j - 3*z + 108 = 0. What are the prime factors of j?
2, 3, 5
Let p(o) = 15*o**2 - 11*o - 4. Let r(j) = 4*j**2 - 3*j - 1. Let v(g) = 6*p(g) - 22*r(g). Let b be v(-2). List the prime factors of b + (1 - 1)/(-2).
2, 3
Suppose 3*y - 110 + 2 = 0. What are the prime factors of y?
2, 3
Suppose 3 = 5*h - 2*w + 23, 0 = -3*h + 5*w - 12. List the prim
|
{
"pile_set_name": "DM Mathematics"
}
|
thout replacement from {w: 2, n: 1, i: 1, h: 3}. What is prob of sequence in?
1/42
Two letters picked without replacement from ifyig. Give prob of sequence gy.
1/20
Calculate prob of sequence lii when three letters picked without replacement from {l: 3, i: 13}.
39/280
Two letters picked without replacement from lblsybys. Give prob of sequence bs.
1/14
Three letters picked without replacement from qqcvwffqqqwqqfqf. Give prob of sequence vwc.
1/1680
Two letters picked without replacement from crchccggccrkrkchrcr. Give prob of sequence cr.
20/171
Three letters picked without replacement from ennn. What is prob of sequence nee?
0
Four letters picked without replacement from kmkffm. What is prob of sequence mffm?
1/90
Two letters picked without replacement from mapzpugam. What is prob of sequence ga?
1/36
What is prob of sequence if when two letters picked without replacement from pfizeppp?
1/56
Three letters picked without replacement from otdotttdddtdo. Give prob of sequence dod.
5/143
Two letters picked without replacement from {n: 2, h: 2}. Give prob of sequence nh.
1/3
Calculate prob of sequence fr when two letters picked without replacement from {f: 7, t: 2, r: 3, w: 3, x: 1, d: 1}.
21/272
Two letters picked without replacement from {e: 1, p: 7, i: 1}. What is prob of sequence ip?
7/72
Calculate prob of sequence no when two letters picked without replacement from ppnnnpnppnponpnnppp.
4/171
Four letters picked without replacement from {q: 1, l: 2, d: 1, u: 4, e: 2, g: 2}. Give prob of sequence egqu.
2/1485
Four letters picked without replacement from nnnnnnn. What is prob of sequence nnnn?
1
Two letters picked without replacement from foo. What is prob of sequence oo?
1/3
Three letters picked without replacement from wwwmswwssswmssswsw. What is prob of sequence wsm?
4/153
Three letters picked without replacement from {k: 4, r: 5, g: 5}. What is prob of sequence ggr?
25/546
What is prob of sequence ffq when three letters picked without replacement from qfqqffqfqfqf?
3/22
Three letters picked without replacement from {b: 18, h: 2}. Give prob of sequence hbb.
17/190
What is prob of sequence us when two letters picked without replacement from suusususuuuuuuuussu?
13/57
What is prob of sequence pmg when three letters picked without replacement from gotpmope?
1/168
Three letters picked without replacement from wbdiddbwdb. What is prob of sequence bdb?
1/30
Calculate prob of sequence pva when three letters picked without replacement from {a: 2, p: 2, c: 1, y: 1, v: 1, i: 1}.
1/84
Calculate prob of sequence hhhh when four letters picked without replacement from {h: 10}.
1
Two letters picked without replacement from {p: 1, x: 1, s: 1, o: 4, z: 3, b: 2}. What is prob of sequence pb?
1/66
What is prob of sequence lh when two letters picked without replacement from {z: 5, f: 3, m: 1, l: 2, h: 1, o: 1}?
1/78
Four letters picked without replacement from {l: 2, x: 1, w: 3, s: 1}. What is prob of sequence wwxw?
1/140
What is prob of sequence zog when three letters picked without replacement from {o: 2, u: 2, d: 4, z: 2, g: 1, i: 4}?
2/1365
Two letters picked without replacement from {n: 1, d: 2, l: 1}. What is prob of sequence dd?
1/6
Calculate prob of sequence vt when two letters picked without replacement from {k: 1, v: 2, m: 1, q: 1, t: 1, p: 1}.
1/21
Two letters picked without replacement from {z: 19, y: 1}. Give prob of sequence yz.
1/20
What is prob of sequence kaau when four letters picked without replacement from {a: 8, u: 2, k: 2}?
28/1485
What is prob of sequence shss when four letters picked without replacement from shsshhshsshshssh?
21/260
What is prob of sequence xxxw when four letters picked without replacement from {s: 2, b: 1, x: 4, q: 2, w: 1}?
1/210
Four letters picked without replacement from {r: 1, h: 1, g: 3, d: 9}. Give prob of sequence rddg.
9/1001
What is prob of sequence aos when three letters picked without replacement from siaooee?
1/105
Calculate prob of sequence xn when two letters picked without replacement from nxnxnx.
3/10
What is prob of sequence eee when three letters picked without replacement from {m: 3, e: 8}?
56/165
Two letters picked without replacement from nkkqq. What is prob of sequence nq?
1/10
Two letters picked without replacement from {b: 1, j: 1, u: 2, w: 1, i: 2, r: 1}. Give prob of sequence rw.
1/56
Four letters picked without replacement from hhthhtthtttytttlyo. Give prob of sequence yoyh.
1/7344
Calculate prob of sequence xxp when three letters picked without replacement from {x: 7, p: 3}.
7/40
Three letters picked without replacement from {l: 3, u: 4}. Give prob of sequence lul.
4/35
What is prob of sequence qyy when three letters picked without replacement from {q: 5, y: 8}?
70/429
What is prob of sequence ax when two letters picked without replacement from {g: 1, n: 2, a: 13, e: 1, w: 2, x: 1}?
13/380
Calculate prob of sequence nlb when three letters picked without replacement from {g: 5, y: 4, l: 1, n: 2, b: 2}.
1/546
Three letters picked without replacement from {c: 1, b: 2, y: 3, f: 6, n: 1}. What is prob of sequence byf?
3/143
Three letters picked without replacement from sqgsqsggs. Give prob of sequence qss.
1/21
Three letters picked without replacement from {l: 5, i: 4, t: 1}. What is prob of sequence tii?
1/60
What is prob of sequence pbob when four letters picked without replacement from {p: 2, o: 1, g: 10, b: 3}?
1/3640
Calculate prob of sequence bbbb when four letters picked without replacement from bbbbbbtbtt.
1/6
What is prob of sequence llg when three letters picked without replacement from {j: 2, u: 2, g: 5, c: 3, l: 6}?
25/816
Two letters picked without replacement from lbllllvihblbbbblb. Give prob of sequence vh.
1/272
Four letters picked without replacement from {v: 4, p: 7, u: 4}. Give prob of sequence puup.
1/65
Calculate prob of sequence rn when two letters picked without replacement from vnvrq.
1/20
Three letters picked without replacement from ukuukuukukkkkkukzkk. Give prob of sequence kuz.
77/5814
Calculate prob of sequence ob when two letters picked without replacement from xwlppoobwolwl.
1/52
Three letters picked without replacement from {k: 6, q: 6, a: 2, d: 1, v: 1, f: 2}. Give prob of sequence ffv.
1/2448
Two letters picked without replacement from ezeezeezezzee. Give prob of sequence ez.
10/39
Calculate prob of sequence fy when two letters picked without replacement from {y: 2, f: 5, v: 1, o: 1}.
5/36
Calculate prob of sequence nbay when four letters picked without replacement from ybabjunj.
1/840
Three letters picked without replacement from uvvuvuuuvvvv. What is prob of sequence vvu?
7/44
What is prob of sequence ttth when four letters picked without replacement from tffthhttttt?
7/132
Three letters picked without replacement from {h: 3, r: 3}. Give prob of sequence rhr.
3/20
Three letters picked without replacement from cmkcnncmczkockkkz. What is prob of sequence occ?
1/204
Three letters picked without replacement from nzzznqpqinnnqzpz. What is prob of sequence inp?
1/336
Three letters picked without replacement from {j: 1, l: 2, v: 1}. Give prob of sequence vll.
1/12
Two letters picked without replacement from novqvovvv. Give prob of sequence vv.
5/18
What is prob of sequence nan when three letters picked without replacement from ncnnsnnncnnancc?
12/455
Three letters picked without replacement from {b: 2, o: 4, p: 1}. Give prob of sequence oob.
4/35
Four letters picked without replacement from ppupupuuuupuuupppppp. Give prob of sequence upuu.
77/1615
Calculate prob of sequence ga when two letters picked without replacement from {a: 2, i: 4, g: 1}.
1/21
Two letters picked without replacement from {d: 7, j: 2}. Give prob of sequence dj.
7/36
Two letters picked without replacement from kukokukyuuuoukkuuu. What is prob of sequence ok?
2/51
Two letters picked without replacement from {o: 2, t: 2, e: 11}. What is prob of sequence te?
11/105
Calculate prob of sequence pm when two letters picked without replacement from ycmmbxbybxbcpyx.
1/105
Two letters picked without replacement from phpphtpthf. What is prob of sequence ht?
1/15
Calculate prob of sequence xf when two letters picked without replacement from {c: 6, f: 1, j: 2, h: 3, p: 3, x: 4}.
2/171
Four letters picked witho
|
{
"pile_set_name": "DM Mathematics"
}
|
nator of 10/3 and r.
21
Let w = -3 - 2. What is the common denominator of -53/12 and 1582/12*w/(-35)?
12
Find the common denominator of 50/9 and (-468)/(-165) - 3/15.
99
What is the common denominator of 21/10 and 6 + -5 + 31/(-9)?
90
Let p = -376/19 - -2495/152. Let z = 5718 + -62850/11. Calculate the common denominator of z and p.
88
Let b(x) = x**2 - x - 4. Let u be b(3). Suppose -u*q + 14 = -2*j, 5*q - 3*j - 41 + 0 = 0. Calculate the smallest common multiple of 18 and q.
90
Let l(o) = -o**2 + 18*o + 82. Calculate the least common multiple of 2 and l(12).
154
Let c = 4707 + 1647. Let f = -50737/8 + c. Find the common denominator of f and 97/16.
16
Let n = -393/4 - -731/8. Calculate the common denominator of n and -57/5.
40
Let n = 2613/580 - 48/29. What is the common denominator of n and -13/20?
20
Find the common denominator of 1/(-2)*(-40)/11 and 12/42 + 219/(-105).
55
Let j(d) = 6 + 2 + 4 + d. Suppose 5*z - 33 = -i, -5*i = 5*z - 0*z - 65. What is the least common multiple of j(-6) and i?
24
Let u = -2870 - -252539/88. Calculate the common denominator of -109/6 and u.
264
Suppose 0*z + 2*z - 96 = 0. Calculate the common denominator of -1 - (-3)/z*-46 and 48.
8
What is the common denominator of 9/15*(-303)/216 and -87/4?
120
Let n = 9 + -9. Suppose n = -p - 3*p + 32. What is the least common multiple of p and 10?
40
Suppose 2*h - 3*h = -7. Suppose h = b + 2. What is the smallest common multiple of 1 and b?
5
Let m be (-68070)/22 + -3 + -2. Let b = m - -3102. What is the common denominator of b and 51/8?
88
Suppose 5*a + 30 = 8*a. Calculate the smallest common multiple of 11 and a.
110
Suppose n = -0*n + 7. Suppose 31 = 5*i - 19. Calculate the lowest common multiple of n and i.
70
Suppose -1 - 7 = -4*g. Suppose -5*s + g*j + 38 = 0, 2*j + 3 + 5 = 0. Suppose 0 = -4*t + 2*t + 2*f + 34, s = -2*f. What is the least common multiple of t and 4?
28
What is the common denominator of 71/126 and 1/3 + (-2343)/198?
126
Let h be 4/6 - 14/21. Suppose s + 3 - 13 = h. What is the smallest common multiple of 11 and s?
110
Suppose 0*o + 5*o + 50 = 0. What is the common denominator of -151/6 and (4/o)/(180/(-425))?
18
Let u = 8 - 9. What is the lowest common multiple of 8 and -5 + 4 - 6/u?
40
Let m(p) = -p**2 + 7*p + 10. Calculate the least common multiple of 20 and m(7).
20
Suppose -3*f - 2*f + 400 = 0. Suppose 2*s = -2*s + f. Suppose -5*m + 12 = -o - 0*m, 5*m = s. Calculate the smallest common multiple of 9 and o.
72
Calculate the common denominator of 3/7 and (-32 - -10)*1/(-18).
63
Find the common denominator of 11/(99/114) + 4 and -22/3.
3
Let o = 42 - 20. Calculate the least common multiple of o and 10.
110
Let z = 5770/3 + -127177/66. Find the common denominator of z and -93/14.
154
Let v = 13483/4 - 3388. Find the common denominator of (-121)/2*(-2)/(-10) and v.
20
Suppose -3*f + c + 11 = 0, -4*c + 5 = 1. Suppose f*y + 5 = -y. Find the common denominator of 59/8 and (332/(-72))/(y - 0).
72
Let g(l) = -l**3 + 6*l**2 + 4*l + 8. Let b be g(5). Let z = b + -31. What is the lowest common multiple of z and 4/(-6) - 96/(-9)?
110
Suppose 4*y = y. Suppose -2*a - a + 9 = y. What is the smallest common multiple of 9 and a?
9
What is the common denominator of 7/6 and (-4*1)/(15/(3 - -2))?
6
Suppose d + 0 = 8. Calculate the smallest common multiple of d and 22.
88
Let v = 6/67 + 3785/1876. Find the common denominator of 31/12 and v.
84
Suppose 2*t + 69 = -3*q - t, -4*q - 5*t - 97 = 0. What is the common denominator of (3/(-10))/(q/535) and (0 - 0) + 93/(-14)?
84
Let y = 22 + -20. What is the least common multiple of 26 and y?
26
Let s(i) = -4*i**2 + 2*i + 6. Let u be s(7). Find the common denominator of -14/5 and 1/(-4) + 260/u.
55
Suppose -5*q + 4*y + 3 = 4, 3*q - 1 = 2*y. Let l(b) = b**3 - 3*b**2 + 3. Calculate the lowest common multiple of 1 and l(q).
3
Let x be (-1)/(-5) + (-306)/(-45). Suppose -3*o + x = -29. Let v(i) = -i**3 + 5*i**2 + i + 7. Calculate the least common multiple of o and v(5).
12
Let z be -2 - ((4 - 0) + -2). Find the common denominator of 12/z + 2/(-8) and -67/6.
12
Let o = -446 + 1811/4. Calculate the common denominator of -11/12 and o.
12
Suppose -f = -2*y - 2896, -3*y = -2*y + f + 1448. Let j = 5701/4 + y. Find the common denominator of -17/22 and j.
44
Let s(l) be the first derivative of -3*l**2/2 + l + 2. Let o be s(-7). Calculate the common denominator of 69/8 and ((-2)/o)/((-3)/(-51)).
88
Let p = -28138 - -618931/22. What is the common denominator of 3212/168 - (-4)/(-14) and p?
66
Suppose -3*n + 2 = -5*n. Let k be 0 - -3 - (n + -18). Find the common denominator of -103/6 and 11/3*99/k.
6
Let t = 223 + -1574/7. Let r be 9/6*(-14524)/(-22). Let o = 989 - r. What is the common denominator of t and o?
77
Let o = 37 - 26. Let y(f) = f - 5. What is the least common multiple of y(9) and o?
44
Suppose 0 = -3*q + 6*n - 2*n + 114, 3*q + 3*n = 93. Calculate the lowest common multiple of 96/(-48)*-1*11 and q.
374
Let a = -932629/63 + 14803. Calculate the common denominator of -55/24 and a.
504
Let s = -3089/2 - -1506. Let g = 4171 + -66687/16. Calculate the common denominator of s and g.
16
Let o be (-454)/(-12)*(-6)/8. Let r = -9/8 + o. Let b = -456 + 1839/4. What is the common denominator of r and b?
4
Suppose -q = 5*x + 4494, 0 = 2*x + 2*x - 12. Let t = -63199/14 - q. Calculate the common denominator of t and 19/22.
154
Suppose -5*o = -6*k + k + 25, 5*k = -2*o + 11. Suppose 0 = 4*d - 53 - 11. Calculate the least common multiple of ((-3)/(-1))/(o/(-12)) and d.
144
Calculate the lowest common multiple of 1/(3 - (-4)/(-2)) and 9.
9
Let g(w) = w + 5. Suppose -13 = -3*t + 5. What is the smallest common multiple of g(t) and (6/8)/((-3)/(-12))?
33
Suppose -5*g + 2*g + 13 = 4*r, 5*g - 60 = r. Suppose 3*k = g + 31. Calculate the common denominator of k/(-7)*(-130)/(-16) and 15/22.
44
Suppose 1177 = -5*n - 2*y, 3*n = 2*y - 536 - 167. Let k = -1905/8 - n. Find the common denominator of (1/9)/(-1) + 2 and k.
72
Find the common denominator of (0 - 1) + 8/(-11) and 7/9.
99
Let o = 330 - 1289/4. Find the common denominator of o and 97/2.
4
Let l = 301 + -1191/4. Calculate the common denominator of l and -39/10.
20
Calculate the least common multiple of 12/(-9) + 68/6 and 2.
10
Let x be -2 + (-3 - 2374036/88). Let f = -26978 - x. What is the common denominator of -25/12 and f?
132
Let b = -4 + 28. Calculate the lowest common multiple of b and 9.
72
What is the lowest common multiple of 4 and (-1)/(-2)*36/2?
36
Suppose -17 = 3*q + 5*i, -q = -5*i - 0*i - 1. Let o(n) = -10*n + 1. Find the common denominator of o(q) and 17/2.
2
Let d(t) = -t**2 + 13*t - 7. Let k be d(11). Suppose a = 3*v + k, -v - 4*v = 2*a - 41. Calculate the smallest common multiple of 2 - a/((-2)/2) and 20.
20
Let q = 20 + -16. Calculate the lowest common multiple of -6*(q + (1 - 7)) and 14.
84
Let n be -23 + (-6)/(-2) + -2. Calculate the common denominator of -7/4 and ((-24)/n + -1)*15.
44
Let d = 14 - 7. Calculate the least common multiple of (6/18)/((-3)/(-9)) and d.
7
Let y(i) = 2*i - 10. Let h be y(5). Suppose 4*u + 36 = 4*c, h = c - 4*u + 2*u - 6. What is the lowest common multiple of 22 and c?
132
Let d = 606 - 332. Let m = 565/2 - d. What is the common denominator of m and -111/14?
14
Let w be (-8)/(-2) - (-6 - -5). Suppose 0 = -4*r - w*o + 52, -3*o - 58 = -3*r - 2*o. What is the least common multiple of 6 and r?
18
Suppose r - 6*r - 25 = 0. Let h(l) = 2*l**2 + 7*l. Let f be h(r). Calculate the common denominator of -19/20 and (27/(-12))/(f/(-2)).
20
Let s(t) = -t**3 - 4*t**2 + 6*t + 9. Let g be s(-6). Suppose m + b = 25, 2*m + m - 3*b = g. Calculate the least common multiple of 8 and m.
40
Let z(o) = 2*o**2 - 5*o - 4. What is the lowest common multiple of z(4) and 12?
24
Find the common denominator of 8/(-14) - (-6488)/672 and 71/9.
36
Let m = -4957/6 - -846. Find the common denominator of m and -93/8.
24
Let b(h) = h**2 - 5. Let u(l) = -6*l - 12. What is the least common multiple of u(-4) and b(5)?
60
Suppose -5*a + 3*u = -2*u + 1820, 0 = -2*a + 3*u - 727. What is the common denominator of 99/4 and a/63 - (-22)/99?
28
Let m = 82/3 - 371/12. What is the common denominator of m and (-113)/(-18) + (-6)/(-9)?
36
Let u(y) = 1 - 2 - 5 + 3*y**2 + 5. What is the lowest common multiple
|
{
"pile_set_name": "DM Mathematics"
}
|
e -3 + 4 + -3 + (0 - 3).
-5
Calculate (-1 - -1) + (6 - 6).
0
What is the value of -1 - (-14 + 16 + -2 + -1)?
0
What is the value of -24 - -27 - (-1 + 4)?
0
Calculate -1 - (1 + -8) - 2.
4
What is the value of -1 + (-3 - -4) + -6 + 8?
2
Evaluate 4 + (-7 + (-4 - -7) - -5).
5
Evaluate -6 + 1 + -11 + 6 + 10.
0
What is -2 + 7 - 3 - 3?
-1
What is -1 + 4 - (5 + -4) - -1?
3
What is the value of 7 - 15 - (-1 - 3) - -1?
-3
2 + (-2 - (-1 + -3))
4
Evaluate 12 + -7 + (-1 - -11) + -9.
6
4 - (-7 - (-10 + -2))
-1
-2 - -9 - (-10 + 15)
2
Evaluate 1 + -10 - (-2 + -4).
-3
-58 + 50 + (3 - (1 + 0))
-6
What is the value of -19 + 6 + (-2 - -9) + 13?
7
What is 7 + -4 + 3 + -2 - 3?
1
-13 + 8 - -2 - -8
5
-1 + (1 - -2) - -2
4
Evaluate -8 + 10 + (4 - 3).
3
4 + (-2 + -4 - (3 + 0))
-5
4 + (-3 - -2) + (8 - 11)
0
What is the value of (4 - -2) + (6 - 15)?
-3
What is 1 + (1 - -1) - (7 + 0)?
-4
Calculate (2 - 4) + 2 - 4.
-4
10 + -2 + (2 - 5)
5
What is the value of 7 + -8 + -8 + -1?
-10
Evaluate -1 + (5 - -10) - 10.
4
3 + (-4 - 0) + -4
-5
Evaluate 1 + 0 + 1 + 19 + -15.
6
Calculate 2 + -7 + 1 + 2 + 1.
-1
What is 0 + 0 - (21 + -30) - 1?
8
-10 + 11 - (-2 + -2)
5
What is 0 - -1 - (0 - -3)?
-2
Evaluate (-22 - -6) + 11 - (3 - 6).
-2
Evaluate -8 + -3 + 10 + (-1 - -6).
4
Evaluate 3 - (-4 + (3 - (-1 + -8))).
-5
0 - 6 - (-8 + 8 + -10)
4
Calculate -3 - (-7 + 3 + 1) - 3.
-3
What is 4 - (3 - -4) - (9 - 8)?
-4
16 - 15 - (9 - 1)
-7
What is -1 + -3 + (-1 - -4) - 1?
-2
Calculate -9 + 9 + (-1 - -3) + -6.
-4
What is the value of -4 + (-1 - -2) - (1 + -6)?
2
Evaluate 2 + (-2 - 3 - -1) - -3.
1
What is the value of (-7 - -1) + -1 + (-1 - -4)?
-4
4 - ((1 - -4) + 16 + -12)
-5
What is (1 - -5 - (30 - 18)) + -1?
-7
What is 24 + -16 - (1 + -1 + 1)?
7
Evaluate 0 + 1 + 26 + -23.
4
Calculate (7 - 2) + 1 + -5.
1
Evaluate (-24 - -30) + (1 - 6).
1
What is 59 + -47 + (0 - 8)?
4
What is the value of 0 + (10 - (6 - 1)) + -4?
1
What is the value of (0 - (-3 - -3)) + 0 + -1?
-1
What is (7 - 17 - -5) + 4?
-1
Calculate (6 - -8 - 18) + (-1 - -8).
3
0 - (-2 - (-4 + 2 + 3))
3
Evaluate -3 + -1 + (-2 - -2).
-4
What is -10 - (-4 + 0 + 1 + -2)?
-5
34 - 29 - (-1 + 4 - 1)
3
-5 + -1 - (-10 - 6 - -16)
-6
What is the value of (-9 - -3) + 9 - -2?
5
Calculate (-1 - -2) + -4 + 2 + 1.
0
What is the value of 8 - (7 + -8) - 7?
2
Calculate 0 + 2 + -1 + -1 + 2.
2
Evaluate 6 - (4 - 1) - (-1 - -6).
-2
Evaluate -108 + 106 - (-1 - 0).
-1
0 + -6 + (11 - 5) - -6
6
What is the value of 3 - (5 - 0) - -2 - 2?
-2
-7 + (6 + 4 + -1 - 3)
-1
What is the value of (-7 + (7 - 0) - -6) + 3?
9
What is the value of (-13 - -13) + -9 + 0 + 2?
-7
Calculate 4 + -10 + -3 - -2.
-7
Evaluate 5 + (-5 - 1) + 6.
5
(-1 - 0) + -34 + 36
1
What is 6 + (3 + 3 - 11) + 5?
6
9 - (10 - (3 - 1))
1
-3 - -11 - (-1 - 0)
9
What is 8 - (-4 + 10 - 3)?
5
Evaluate 6 + (-15 - -7) - 0.
-2
Evaluate 8 - 5 - (1 + 0 + 2).
0
Evaluate 3 + 1 - (-2 - -3).
3
3 + -2 + -5 + (6 - 4)
-2
-1 + (4 - ((1 - 0) + 2))
0
Calculate (-3 - -9) + 7 + -13.
0
What is 3 + -3 + -7 - -11?
4
-4 + -2 + (6 - (7 - 4))
-3
What is -3 - ((4 - 1) + 41 + -46)?
-1
What is the value of -3 + (-1 + -1 - (23 + -26))?
-2
What is the value of 0 + -1 - ((1 - 7) + 2)?
3
What is the value of (-7 - -3) + (1 - -10) - 4?
3
Calculate 25 - 12 - (4 + 2).
7
What is the value of (-3 - (6 - 6)) + -8 + 6?
-5
-2 + 2 + (-3 - -2) + 4
3
Calculate -5 + (5 + -1 - -1).
0
8 + -1 + -2 - -1
6
Calculate (8 - (2 + -3)) + (-4 - 0).
5
Calculate (-3 - (0 + -10)) + -12.
-5
-12 + 7 + -4 - -19
10
Calculate 6 + -4 - 1 - (11 + -11).
1
What is 2 + 1 + -2 - 3 - -7?
5
Calculate (-2 - -2) + -4 - (-9 - 0).
5
Calculate 2 - (3 + 0 + -3 + 0).
2
Evaluate 15 - (11 + 1 + -2).
5
Calculate 2 + 0 + -1 + -1 + 1.
1
-3 - (2 - ((11 - 3) + -3))
0
Calculate -5 + (-11 + 6 - -12).
2
Evaluate (-5 - -10 - 11) + (-1 - -3).
-4
What is 7 + -8 + 3 + -1?
1
Calculate (13 - 4) + -2 + (-1 - 2).
4
Evaluate 8 + -9 + -3 - -8.
4
What is 94 + -96 - (2 - -1)?
-5
Calculate (-2 - 2) + 1 + 0 + 4.
1
Evaluate -8 - (5 - (4 - (-1 + -1))).
-7
Evaluate -22 + 19 - (2 - 5).
0
What is (-8 - -4) + 1 - 1 - -1?
-3
Calculate 26 + -21 - (-5 + 2 + 2).
6
What is 2 - 4 - (1 + -3 + 0)?
0
(4 - 2) + -2 + -1
-1
Calculate 0 + (4 - -1) + (27 - 27).
5
Calculate -1 + (-4 - -13) + (-3 - -1).
6
Calculate -3 + (-5 - -2 - -3).
-3
Calculate -43 + 32 + (15 - 4).
0
What is the value of -2 + (9 - (7 - 4))?
4
(11 - 3) + (3 - 12)
-1
What is the value of 1 - (0 + 2) - (1 + 1)?
-3
Evaluate 0 - (4 - 6 - -4).
-2
-1 - 5 - (-18 + 16)
-4
Calculate -9 - (3 - (-3 - -5) - 5).
-5
What is 6 - 1 - (11 - 2)?
-4
What is 1 + -5 - -8 - 4?
0
-2 + 4 + -3 + 10 + -8
1
Calculate (4 - 4) + 6 + -4 + 3.
5
What is -5 + 3 + 1 - (-3 + 3)?
-1
Calculate (-5 - (-3 + 1)) + -1 + 9.
5
What is the value of -10 + (-11 + 9 - -19)?
7
-1 + -2 + (2 - 0 - -3)
2
What is 9 - ((7 - 8) + 7)?
3
What is -3 - (7 + -11) - 6?
-5
Calculate 2 + -4 + 9 + -1.
6
What is the value of 12 + 0 - (137 + -130)?
5
What is the value of -5 - -6 - (-2 + -1)?
4
What is the value of 1 - ((13 - 2) + -10)?
0
0 - (2 + (2 - 6))
2
What is -2 - (9 + -6 + 0 + 0)?
-5
Calculate -9 + 7 + -3 + (4 - 1).
-2
Calculate (-3 - (1 - 1)) + -4 + 3.
-4
What is the value of -7 + 10 - (-3 + 0 + 3)?
3
Calculate (-1 - -24 - 2) + -12.
9
0 - 0 - (-12 - (3 + -9))
6
What is -11 + 5 + 3 - 3?
-6
Calculate 6 + (9 - 4) + -8.
3
(-21 - -25) + (-4 - 1)
-1
Calculate -5 - (-1 + (4 - 5)).
-3
Calculate (87 - 82) + 0 + 5 + -2.
8
Evaluate 7 - (-4 + 7) - 0 - -2.
6
-9 + (10 - 10 - -2)
-7
What is the value of 3 + (-3 - -1) - -3 - 8?
-4
1 - (5 + 1 - 7 - -3)
-1
What is the value of (-2 - -2) + 7 + -10 + 8?
5
Calculate -2 + 1 - -1 - -3.
3
23 + -29 + (3 - -8)
5
Calculate 1 + (-1 - 3) - -5.
2
Evaluate -2 + 1 - ((9 - 5) + -4).
-1
Evaluate -1 - -5 - ((-5 - -3) + 10).
-4
What is the value of 0 - -4 - (5 + (2 - 0))?
-3
Evaluate -1 + 1 + -10 + 6.
-4
-3 + 1 - (-11 - -7)
2
Calculate (-4 - (-24 + 7 - -6)) + -6.
1
Calculate 7 + -11 + -4 - -10.
2
Calculate (11 - 1) + (56 - 61).
5
Evaluate 0 - 4 - (7 - 7).
-4
Calculate -1 + 2 + -5 + 1 + -1.
-4
Evaluate -2 + (-4 - -4) + 1.
-1
What is the value of 0 + -1 - (-3 + 6)?
-4
Calculate (4 - 1) + 1 - 0.
4
(4 - 2) + (-4 - -8 - 2)
4
What is the value of 2 + -2 + 1 + (67 - 64)?
4
Calculate -4 - (-4 + 1 - 5).
4
What is the value of -5 - (-3 - 3 - -1)?
0
-1 + 3 + -1 + 9 - 5
5
(-5 - -4 - 2) + 0
-3
0 + -1 + -5 + -5 + 7
-4
Evaluate 0 - 1 - -3 - 0 - 2.
0
Evaluate 3 + -2 - (-40 + 35).
6
What is -4 - (6 - (6 + 0))?
-4
14 - 10 - (2 - (-3 + 5))
4
Evaluate -1 - (-5 + 5 + -8).
7
Evaluate -2 - (2 + (-1 + -2 - 1)).
0
-6 - (13 + -16 - (-2 + 1))
-4
Evaluate -7 - (4 + 0 + (2 - 8)).
-5
Evaluate -6 - (-7 + 10 + -7 + -7).
5
What is the value of (8 - 13) + 2 - 3?
-6
What is the value of -12 - (-9 + 9) - -9?
-3
Evaluate -4 + (-8 + 9 - -1).
-2
What is the value of 1 - ((6 - 6) + -2)?
3
(2 - -7 - 0) + -7
2
Calculate 3 + -15 + (8 - 1).
-5
0 - -1 - (16 + -18 + -2)
5
What is 0 + 0 + -5 + 47 + -47?
-5
Calculate 0 - 3 - (-111 - -100).
8
(1 - 3 - -3) + 0
1
7 + -16 + 2 + 8
1
Evaluate 4 - (-5 - -2 - (6 + -9)).
4
What is 1 + 2 + 2 - (28 - 31)?
8
What is the value of 5 + 1 - (-5 + 11)?
0
Evaluate -4 + 1 + 3 - 5.
-5
Evaluate (7 - -1) + (-7 - -3).
4
6 + -7 + 3 + -2
0
What is -3 - (3 - 8 - -1 - -6)?
-5
(-7 - -4 - -4) + -1 + 0
0
What is the value of 4 + (-6 - (1 + 2))?
-5
Calculate 1 + 7 + (-2 - 2).
4
Evaluate (6 - 0) + 1 + -12 + 9.
4
What is the value of -2 - -3 - (-14 + 6)?
9
What is the value of 11 - (19 - 9 - -5)?
-4
-11 + (16 - (-7 + 8))
4
Evaluate 4 - (0 + 6 - 0).
-2
What is 9 + -1 + -13 - -15?
10
Calculate 6 + -10 + (0 - -13).
9
Calculate -85 + 90 - (-2 + 15 + 2).
-10
What is the value of 14 - 5 - -2 - 6?
5
What is -6 - (1 - 2 - 1)?
-4
Evaluate -3 + 1 + -4 + 4 + 1.
-1
What is the value of 8 + -13 + (3 - 1)?
-3
(9 - (-4 + 17)) + (1 - -10)
7
What is 1 + -3 - ((4 - 8) + 4)?
-2
Calculate (1 - (-3 + -6)) + (-31 - -25).
4
Calculate 1 + -7 + 117 + -113.
-2
What is -1 + 2 - (2 - -3)?
-4
Calculate (-1 - -1) + 2 - (25 - 24).
1
What is the value of 5 - (-11 + 7 + 3)?
6
What is the value of (52 - 54) + 2 + (-5 - 1)?
-6
Evaluate 0 - 8 - (11 - -3 - 19).
-3
What is the value of -2 + (-5 - -17) + -5 + -4?
1
-3 - -2 - (10 - 6)
-5
Evaluate -8 + 3 + 0 - (14 - 14).
-5
-3 + 3 + -2 + -1
-3
Calculate 1 + 2 + (-4 - 0).
-1
Evaluate -5 - (4 + -5 + -4).
0
What is the value of 2 + (
|
{
"pile_set_name": "DM Mathematics"
}
|
onvert 66.47322 nanograms to micrograms.
0.06647322
How many nanograms are there in 17/4 of a microgram?
4250
Convert 1.765297ml to litres.
0.001765297
What is 3/32 of a millimeter in nanometers?
93750
What is one tenth of a millennium in months?
1200
How many meters are there in 45/4 of a kilometer?
11250
How many years are there in 4590.795 centuries?
459079.5
How many minutes are there in one quarter of a day?
360
How many minutes are there in one tenth of a day?
144
Convert 0.5045203 meters to millimeters.
504.5203
How many nanoseconds are there in 1/10 of a microsecond?
100
What is 3/40 of a gram in micrograms?
75000
What is 4.64208 millilitres in litres?
0.00464208
What is 9/10 of a centimeter in micrometers?
9000
How many micrometers are there in five eighths of a centimeter?
6250
How many years are there in one quarter of a millennium?
250
What is fifty-one fifths of a century in years?
1020
How many litres are there in 577.6299ml?
0.5776299
What is five quarters of a litre in millilitres?
1250
How many millimeters are there in 1/5 of a meter?
200
What is 974.819 tonnes in grams?
974819000
What is 1/6 of a decade in months?
20
What is three fifths of a litre in millilitres?
600
What is 1/5 of a microgram in nanograms?
200
What is 6.36469 seconds in milliseconds?
6364.69
How many meters are there in eleven quarters of a kilometer?
2750
How many nanograms are there in 4967.384 milligrams?
4967384000
How many millennia are there in 23.62843 years?
0.02362843
How many nanometers are there in 27/2 of a micrometer?
13500
How many centimeters are there in 17/2 of a meter?
850
What is 41.25051 minutes in seconds?
2475.0306
Convert 2017.674 months to decades.
16.81395
What is 0.2883916m in micrometers?
288391.6
What is eleven halves of a millennium in years?
5500
What is five quarters of a tonne in kilograms?
1250
How many tonnes are there in 2.278995mg?
0.000000002278995
What is 33/5 of a century in months?
7920
What is thirty-one fifths of a millennium in decades?
620
How many litres are there in 42898.59ml?
42.89859
What is fifty-one halves of a litre in millilitres?
25500
Convert 0.326612mg to micrograms.
326.612
What is 1/10 of a gram in milligrams?
100
What is seven quarters of a gram in milligrams?
1750
What is thirteen quarters of a millennium in decades?
325
What is thirteen fifths of a century in years?
260
How many nanograms are there in 4876.891 micrograms?
4876891
How many seconds are there in 536.4046ms?
0.5364046
What is 1/4 of a litre in millilitres?
250
Convert 952.9759 grams to micrograms.
952975900
Convert 6991.8291 minutes to days.
4.855436875
How many centuries are there in three fifths of a millennium?
6
How many hours are there in five fourteenths of a week?
60
How many grams are there in 5/4 of a kilogram?
1250
What is 527.3012mg in micrograms?
527301.2
What is 3.265667 centuries in years?
326.5667
How many months are there in five sixths of a year?
10
What is eleven quarters of a micrometer in nanometers?
2750
How many minutes are there in 265.25925ms?
0.0044209875
What is thirteen fifths of a microgram in nanograms?
2600
Convert 6.283169l to millilitres.
6283.169
How many weeks are there in 1327.854276 microseconds?
0.00000000219552625
How many millilitres are there in 9642.04l?
9642040
What is 43/4 of a micrometer in nanometers?
10750
Convert 41666.23mm to kilometers.
0.04166623
How many months are there in eleven quarters of a century?
3300
What is 21/2 of a millimeter in micrometers?
10500
Convert 26.200428 months to centuries.
0.02183369
What is 1/6 of a decade in months?
20
What is 26/5 of a centimeter in micrometers?
52000
What is five quarters of a meter in centimeters?
125
What is 7/8 of a litre in millilitres?
875
What is 11/10 of a century in decades?
11
How many minutes are there in 11/7 of a week?
15840
What is 0.7093042um in millimeters?
0.0007093042
What is one sixteenth of a tonne in grams?
62500
What is 43/4 of a litre in millilitres?
10750
How many nanoseconds are there in 77/2 of a microsecond?
38500
Convert 9729.122 millennia to centuries.
97291.22
What is 27/4 of a litre in millilitres?
6750
What is 21/8 of a litre in millilitres?
2625
What is 2.966795 millennia in months?
35601.54
How many nanograms are there in 6.981126 kilograms?
6981126000000
How many months are there in 8/25 of a century?
384
Convert 28.499388ns to minutes.
0.0000000004749898
How many litres are there in 558305.7 millilitres?
558.3057
How many years are there in three tenths of a millennium?
300
Convert 3.907415um to millimeters.
0.003907415
What is 13/5 of a gram in milligrams?
2600
Convert 796130.3 decades to months.
95535636
Convert 760737.2 kilograms to milligrams.
760737200000
What is 2.8859895us in hours?
0.00000000080166375
How many millilitres are there in 547.653l?
547653
How many millilitres are there in 3/40 of a litre?
75
What is 21/4 of a milligram in micrograms?
5250
What is one quarter of a kilogram in grams?
250
What is 0.6304762g in nanograms?
630476200
How many kilograms are there in three tenths of a tonne?
300
How many centuries are there in 82706.37 millennia?
827063.7
What is 84398.823us in hours?
0.0000234441175
Convert 2.221429 millennia to decades.
222.1429
What is 10/3 of a year in months?
40
How many minutes are there in 2/15 of a hour?
8
What is 1.003914 millennia in months?
12046.968
Convert 59524.81nm to centimeters.
0.005952481
What is one fifth of a millennium in centuries?
2
How many millimeters are there in one twentieth of a meter?
50
How many decades are there in 6809.629 millennia?
680962.9
How many hours are there in 276.6114 minutes?
4.61019
How many millilitres are there in 648214.3l?
648214300
What is 56.69459 nanograms in kilograms?
0.00000000005669459
What is 6/5 of a meter in millimeters?
1200
What is 5/4 of a millennium in decades?
125
How many months are there in seven thirds of a decade?
280
What is 91.9546g in milligrams?
91954.6
Convert 60071.3l to millilitres.
60071300
What is 67689.59 millimeters in micrometers?
67689590
How many micrometers are there in 864616.7mm?
864616700
How many hours are there in 4/3 of a day?
32
How many milliseconds are there in 12/25 of a minute?
28800
What is twenty-five halves of a millimeter in micrometers?
12500
What is 49/4 of a year in months?
147
What is twenty-seven quarters of a millennium in decades?
675
What is 51/8 of a microgram in nanograms?
6375
What is 31/5 of a micrometer in nanometers?
6200
What is 387.8858 weeks in days?
2715.2006
How many micrograms are there in 3/8 of a milligram?
375
What is five eighths of a litre in millilitres?
625
What is 647.131 milligrams in nanograms?
647131000
What is 1/5 of a millimeter in micrometers?
200
How many micrograms are there in 7233.148ng?
7.233148
How many years are there in one fifth of a millennium?
200
How many nanograms are there in nine tenths of a microgram?
900
What is 3053.845ng in tonnes?
0.000000000003053845
Convert 39.22331km to millimeters.
39223310
What is 26/7 of a week in days?
26
Convert 2880.6 centuries to millennia.
288.06
How many kilograms are there in 54.00717ng?
0.00000000005400717
How many nanometers are there in 5/8 of a micrometer?
625
Convert 6.08916 kilometers to meters.
6089.16
How many millilitres are there in fifty-one halves of a litre?
25500
Convert 1009.172 meters to millimeters.
1009172
What is 2/7 of a week in minutes?
2880
How many micrometers are there in 31/5 of a centimeter?
62000
How many millilitres are there in thirty-three fifths of a litre?
6600
What is 6450922.8 seconds in hours?
1791.923
What is 9.891598 days in milliseconds?
854634067.2
How many millilitres are there in 657034.9 litres?
657034900
What is 2/15 of a day in minutes?
192
How many years are there in 52/5 of a millennium?
10400
Convert 159.3025 litres to millilitres.
159302.5
How many grams are there in nineteen quarters of a kilogram?
4750
What is 744.8208ms in seconds?
0.7448208
Convert 51.73615km to micrometers.
51736150000
What is 322.3358 seconds in nanoseconds?
322335800000
What is 658682.6km in millimeters?
658682600000
How many milligrams are there in 27/2 of a gram?
13500
What is fourty-seven quarters of a microgram in nanograms?
11750
What is 17/2 of a centimeter in micr
|
{
"pile_set_name": "DM Mathematics"
}
|
m = 2*t + 2*m + 8. Suppose -t*n - 312 = -0*n. Let f = 457 - n. Is f prime?
True
Let l = -1405014 + 2053577. Is l prime?
True
Let j(g) = 19994*g**3 + 7*g**2 - 9*g - 1. Is j(3) a composite number?
True
Let i = -1173 + 21766. Is i a composite number?
False
Let w(n) = -330*n**3 - 8*n**2 - 6*n - 11. Let u be 8/(1/2*-4). Is w(u) a prime number?
False
Suppose -3837637 = 34*g - 1808566 - 15888389. Is g prime?
False
Suppose 1693 + 4493 = 3*p + 2*h, -5*h - 6207 = -3*p. Let c = p + -6441. Let m = -2084 - c. Is m prime?
True
Suppose 278724 + 156618 - 142458 = 12*n. Is n composite?
False
Is ((-6)/12)/((-12)/412696*(-2)/(-6)) composite?
True
Suppose 36515 = 2*s - 7779. Is s a prime number?
True
Let f(x) = 4*x + 9. Let d be f(-3). Let g(i) = 505*i**2 + 10*i + 32. Is g(d) composite?
False
Suppose -2*a - 4*d + 0*d + 17296 = 0, 5*a - d = 43262. Let r = a + -3043. Is r a composite number?
True
Let k(a) be the second derivative of 61*a**5/5 + a**4/12 - 2*a**3/3 - 5*a**2/2 - 110*a. Is k(2) a prime number?
False
Is (10120461/26)/(108/72) composite?
False
Let h = -4114 - -2672. Let l = 4513 + h. Is l composite?
True
Let j = 155 + -155. Suppose i - 3*t - 14261 = -2302, j = -3*t. Is i composite?
False
Suppose 0 = 8*z - 6*z - 4*t - 54, -z = t - 18. Suppose -44482 = z*h - 154963. Is h composite?
False
Suppose -j = 2*n - 37, -5*j = 4*n - 19 - 40. Let s be 38*(n/12)/7*394. Suppose -2*f + s = 2*h + h, -4*f + 7477 = 3*h. Is f a composite number?
False
Let f(k) be the third derivative of 3764*k**5/15 + k**4/24 + 17*k**2 - k. Is f(-1) prime?
False
Is 6 - (117/52 - 2)/(1/(-235748)) a prime number?
True
Suppose r = -5*r + 72. Suppose u + 4*k = r, -3*u - 2*k + 0 + 6 = 0. Suppose -5*c + 1916 = 4*t, -5*t + u*c + c + 2395 = 0. Is t composite?
False
Suppose 2*i - 2 = 5*c, 2*c - 12 = -i + 5*i. Let g(x) = -6*x**2 - 11*x**3 - x**3 - 6*x - 3 - 2. Is g(i) a composite number?
False
Suppose -b = 4*b. Suppose 0 = 17*v - b*v - 104771. Is v prime?
True
Let y be (-13 - -11)*(-1)/(-6)*3. Let u(x) = 36028*x**2 + 16*x + 17. Is u(y) a prime number?
False
Let y be ((-18)/15)/(((-16)/10)/4). Let f(r) = -3*r**2 - 7 - 51*r**3 - 63*r + 64*r + y*r**3. Is f(-3) a composite number?
False
Suppose 49*k = 2803744 + 8157507. Is k prime?
False
Let l(p) = 10905*p - 575. Is l(4) a prime number?
False
Suppose -3*i - 299 = -1727. Let t(p) = -p**3 - 13*p**2 - p - 16. Let q be t(-13). Is (-5 - i)*(q + 2) a composite number?
True
Let s = 33 + -33. Suppose -2*q + 4*q - 166 = 4*k, s = 2*k - 5*q + 63. Is (-3006)/(-14) + k/(-7) + -6 a composite number?
True
Suppose -27552 = 62*q - 74*q. Let j = -1305 + q. Is j composite?
False
Suppose -3*j - 2557 = -p, 15*p = 11*p + 5*j + 10172. Let n = -3475 - -2407. Let l = n + p. Is l a prime number?
False
Let g(t) = 1. Let p(z) = -51 - 337*z - 36 - 47*z + 63. Let f(j) = 3*g(j) - p(j). Is f(4) prime?
False
Let v(z) = 120*z**2 - 28*z + 27. Let f be 35/(7 - 2) + 4. Is v(f) composite?
True
Let f = 28922 - 19789. Suppose -2101 + f = 8*h. Is h prime?
False
Let b(k) = 2*k**3 - 5*k**2 - 5*k - 16. Let s be b(8). Let f = s + -449. Suppose f = 4*l - 3*n - 811, -4 = 2*n. Is l composite?
False
Let n(x) be the third derivative of x**5/60 - x**4/24 - x**3/6 + 4*x**2. Let f(r) = 5*r**2 - 6*r + 20. Let s(h) = f(h) + 4*n(h). Is s(5) a composite number?
False
Let x = 4262 + 8397. Is x a composite number?
False
Is 3 - 0 - (-21554 - 0/24) prime?
True
Suppose -12*o = -7499 + 20987. Is 7 - (o + 3) - 5/1 composite?
False
Let p(o) = -o**3 + 15*o**2 - 18*o - 4. Let u be p(15). Let i = u - -500. Is i composite?
True
Suppose 21*w - 91 = 14. Suppose -5*o + 62825 = w*t, -5*o - 12 = 8. Is t a prime number?
True
Let a(n) = n - 1. Let r be a(2). Let d be (-30)/(r/(3/(-6))). Suppose -d*p = -19*p + 4456. Is p a prime number?
False
Let t = 80979 - 47159. Let s = 53379 - t. Is s a composite number?
False
Suppose -7*n - 48852 = -113391 - 447938. Is n prime?
False
Let d be 67/13 + 6/(-39). Let c(q) = -q**3 + 5*q**2 - 4*q - 1. Let k be c(3). Suppose -k*g = p - 1284 - 1064, 2342 = d*g - p. Is g a composite number?
True
Let j = -27802 - -47369. Is j a prime number?
False
Suppose -4*c - 4*a - 17 = -33, -4*a = -4*c + 24. Suppose 46272 + 234703 = c*r. Is r composite?
True
Is 119126 + 1 + -4 + 12 composite?
True
Let i = 219101 - 19354. Is i composite?
True
Is 0 + -13 - (-29 - 14583) prime?
False
Is -3053290*7/(-14) - 12*(-8)/12 a composite number?
False
Let j(o) = -229*o**3 + 9*o**2 + 3*o - 8. Let i be 2/4*(-11 + 2 + 3). Is j(i) a prime number?
True
Let y = 262732 + -175193. Is y a prime number?
True
Suppose 7*i - 35213 - 15418 = 0. Is i composite?
True
Let i be 2*(-63567)/6*(-3)/(-9). Let d = -2910 - i. Is d a prime number?
True
Let l = -2460 - -1099. Is (l/(-2))/(2/4) composite?
False
Suppose g - 26 = -4*j - j, 23 = 5*j - 2*g. Suppose 0 = j*o + p - 3*p - 2009, 5*o = 4*p + 2003. Let f = -218 + o. Is f a prime number?
False
Let q(p) be the third derivative of 161*p**5/60 + 35*p**4/24 - 5*p**3/6 + 173*p**2. Is q(-9) prime?
True
Let c(k) = -2*k**3 + 24*k**2 - k + 12. Let r be c(12). Is (r - -1)*((-6 - -3) + 1000) prime?
True
Let b be ((21/(-9))/7)/((-3)/(-18)). Is 0 + b/4 + (-45101)/(-14) composite?
False
Suppose 4*w = 7*r - 3*r - 1704, -5*r = w + 408. Let f = 1096 + w. Is f a composite number?
False
Let b(c) = -13 + 37*c**2 - 33 + 35 + 72*c - c**3. Is b(34) composite?
True
Suppose 10*o - 6*o = -4. Is -278422*o/38 + 4/38 composite?
True
Let m be (6 + 116696/(-24))*-3. Let h = m - 8862. Is h a composite number?
True
Let j be 5259 - (-4)/3*(-21)/14. Suppose -j = -6*s - 1327. Is s composite?
True
Suppose 82*x - 81*x - 3 = 0. Suppose -x*y + 188 = -85. Is y composite?
True
Let f(c) = -c**3 + 3*c**2 + 6*c + 88. Let m(o) = 4*o**3 - 10*o**2 - 17*o - 309. Let s(u) = 7*f(u) + 2*m(u). Let k = 24 - 17. Is s(k) a prime number?
False
Let w(a) = 81461*a + 2761. Is w(6) prime?
True
Suppose 0 = 3*w - 2*p + 6, 0 = w - 6*w - 3*p - 29. Let x(t) = -1000*t + 7. Is x(w) prime?
True
Is (2936565/(-36))/((-26)/104) a composite number?
True
Suppose 17*a - 1 = 33. Suppose 0 = 4*j + a*q - 2920, -5*j + 3716 = 3*q + 67. Is j a composite number?
True
Let y = 59 - 45. Let x(b) = 4*b**2 + 9 - 3*b**2 + 5*b**2 - 41*b + 58*b. Is x(y) composite?
False
Let i = 44 + 20. Suppose i*q = 67*q - 16617. Is q a prime number?
False
Let v(m) = 22*m + 11. Let f be v(-4). Let s be (f/14 + 6)*3*2. Suppose a + s*l = 413, -a - 3*l = 2*l - 409. Is a a prime number?
True
Let w(s) = 416*s**2 + 10*s + 111. Is w(-25) a composite number?
True
Suppose -4*d = 5*u + 84, -5*u - 28 = 2*d - 6*u. Is ((-12)/d)/(2/1192) composite?
True
Let d(c) be the first derivative of 19*c**4/6 - c**3/3 + c**2/2 + 12*c - 9. Let j(z) be the first derivative of d(z). Is j(3) composite?
False
Suppose 5*x + 4977 = -3*z - 277, z = -x - 1052. Let i = 1410 - x. Is i a prime number?
True
Is ((-3)/30*8)/(70/(-802025)) a composite number?
True
Let y = 975080 + -142771. Is y prime?
True
Is (-10694)/(958/(-106) - 27/(-3)) a composite number?
True
Let a(n) = n**2 - 3. Let u(q) = 3*q**2 - q - 7. Let k(y) = -5*a(y) + 2*u(y). Let z be k(2). Is (2 - -2 - 1127)*z/(-1) composite?
False
Suppose 0 = -8*j + 153 + 7. Suppose -y = 3*y - j. Suppose y*t - 150 = -4*k, 5*t + 15 = -k + 60. Is k a prime number?
False
Let f be 2 + 21/7 + -3. Suppose 0 = -j + k + 9223 - 1984, -f*j - 5*k + 14506 = 0. Is j prime?
True
Let h(s) = -259*s**3 - 6*s**2 - 34*s - 214. Is h(-13) a composite number?
False
Let o = -18312 - -27019. Let k = 15654 - o. Is k a composite number?
False
Is (-15)/21 + 1 - 8080722/(-126) prime?
False
Suppose -99*y + 46106 = 8882. Suppose -1 = -o, 0 = -4*n + o - 3*o + 14. Suppose 5*r = n*p - 971, 2*p - 4*r - 274 - y = 0. Is p composite?
False
Suppose -3*k - 2*p - 3*p = -75, -4*k + 89 = 3*p. Let v(s) be the second derivative of s**5/20 - 17*s**4/12 - 9*s**3/2 + 13*s**2/2 + 5*s + 2. Is v(k) prime?
True
Let b(h) = 36*h**2 - 531*h - 64. Is b(49) composite?
False
Let n(y) = -260*y + 4. Let z be n(4). Suppose 0*t - 10*t + 647 = 6137. Let b = t - z. Is b a composite number?
False
Let t(r) be the first derivative of r**3 + 9*r**2/2 - 7*r - 27. Let g be t(6). Suppose -g = 8*y - 3315. Is y a composite number?
True
Let n(c) = 3*c + 3. Let g be n(2). Suppose 0 = i + 3, 8 = -4*q - 3*i - g. Is (q/10*134)/((-14)/35) a prime number?
True
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
58*h**2 - 140*h + 32 = 0.
-8, -2, 1/2, 1
Factor 33*x**3/2 - 65*x**2 - 173*x/2 - 5.
(x - 5)*(x + 1)*(33*x + 2)/2
Suppose 9*p**3 + 330*p**2 - 111*p = 0. Calculate p.
-37, 0, 1/3
Find p, given that -3*p**2 - 168*p - 1920 = 0.
-40, -16
Factor 2*h**2 + 240*h.
2*h*(h + 120)
Determine g so that -28*g**4 + 8*g**3 + 48*g**2 - 8*g - 20 = 0.
-1, -5/7, 1
Suppose 2*k**2/7 - 212*k/7 - 654/7 = 0. What is k?
-3, 109
What is a in a**5/2 - 41*a**4 + 1316*a**3 - 20776*a**2 + 161896*a - 499408 = 0?
14, 26
Factor 5*n**4/9 + 2*n**3/9 - 20*n**2/9 - 8*n/9.
n*(n - 2)*(n + 2)*(5*n + 2)/9
Factor -3*k**2 - 99*k + 324.
-3*(k - 3)*(k + 36)
Solve 3*p**4 + 192*p**3 - 1668*p**2 + 4272*p - 3456 = 0.
-72, 2, 4
Let -4*k**4 - 44*k**3 - 40*k**2 = 0. Calculate k.
-10, -1, 0
Factor -3*f**4 + 30*f**3 - 87*f**2 + 96*f - 36.
-3*(f - 6)*(f - 2)*(f - 1)**2
Determine m so that -6*m**5/11 - 2*m**4 - 12*m**3/11 + 24*m**2/11 + 16*m/11 = 0.
-2, -2/3, 0, 1
Determine i, given that -4*i**4 + 60*i**3 - 108*i**2 + 52*i = 0.
0, 1, 13
Factor -x**5/4 - 3*x**4/2 - 2*x**3.
-x**3*(x + 2)*(x + 4)/4
What is k in 16*k**5 - 20*k**4 - 76*k**3 - 28*k**2 + 12*k = 0?
-1, 0, 1/4, 3
Determine b so that -b**4/5 + 8*b**3/5 + 108*b**2/5 + 304*b/5 + 256/5 = 0.
-4, -2, 16
Factor 3*z**5 - 141*z**4 + 270*z**3.
3*z**3*(z - 45)*(z - 2)
What is z in 2*z**5/9 + 14*z**4/9 - 6*z**3 + 58*z**2/9 - 20*z/9 = 0?
-10, 0, 1
Suppose t**4/3 + 32*t**3/3 + 352*t**2/3 + 512*t + 768 = 0. What is t?
-12, -4
Factor -3*i**2/4 + 6*i + 15.
-3*(i - 10)*(i + 2)/4
Let i**5/4 + 517*i**4/4 - i**3/2 - 517*i**2/2 + i/4 + 517/4 = 0. What is i?
-517, -1, 1
Factor 3*y**4 + 39*y**3 + 105*y**2 - 147*y.
3*y*(y - 1)*(y + 7)**2
Suppose -3*o**4/4 + 87*o**3/4 + 759*o**2/4 - 26979*o/4 = 0. Calculate o.
-17, 0, 23
Factor 3*h**4/2 - 3*h**3.
3*h**3*(h - 2)/2
Determine t, given that -t**4 + 18*t**3 - 33*t**2 + 16*t = 0.
0, 1, 16
Suppose 3*z**4/4 - 168*z**3 + 9066*z**2 + 38304*z + 38988 = 0. What is z?
-2, 114
Factor -20*r**3 + 272*r**2 + 112*r.
-4*r*(r - 14)*(5*r + 2)
Factor r**2/2 + 11*r + 121/2.
(r + 11)**2/2
Factor 2*k**3/3 - 16*k**2/3 - 50*k - 84.
2*(k - 14)*(k + 3)**2/3
Factor -8*x**3 + 52*x**2 + 128*x + 68.
-4*(x + 1)**2*(2*x - 17)
Factor -882*p**2/5 - 2184*p/5 - 1352/5.
-2*(21*p + 26)**2/5
Factor -7*k**2/3 + 332*k/3 + 64.
-(k - 48)*(7*k + 4)/3
Find c such that c**4 + 433*c**3/3 - 293*c**2/3 - 433*c/3 + 290/3 = 0.
-145, -1, 2/3, 1
Factor 4*c**3 + 100*c**2 + 700*c + 1500.
4*(c + 5)**2*(c + 15)
Factor -i**3 - 2*i**2 + 224*i - 1152.
-(i - 8)**2*(i + 18)
Determine u, given that -5*u**4 - 175*u**3 - 1895*u**2 - 6225*u - 4500 = 0.
-15, -4, -1
Factor 4*c**3/5 - 8*c**2 + 20*c.
4*c*(c - 5)**2/5
Factor 484*w**3 + 792*w**2 + 324*w.
4*w*(11*w + 9)**2
What is p in -2*p**3/9 + 164*p**2/9 + 170*p/3 = 0?
-3, 0, 85
Factor -4*m**3 + 444*m**2 - 2096*m - 2544.
-4*(m - 106)*(m - 6)*(m + 1)
Let -2*c**4/3 + 26*c**3/3 + 30*c**2 + 94*c/3 + 32/3 = 0. What is c?
-1, 16
Factor -g**3 - 6*g**2 + 15*g + 100.
-(g - 4)*(g + 5)**2
Factor -2*c**3/3 - 110*c**2/3 - 522*c - 486.
-2*(c + 1)*(c + 27)**2/3
Suppose g**5/3 - 2*g**4 - 19*g**3/3 + 164*g**2/3 - 48*g - 320/3 = 0. What is g?
-5, -1, 4
Factor -l**3/2 - 29*l**2/2 + 61*l/2 - 31/2.
-(l - 1)**2*(l + 31)/2
Solve -u**5 + 112*u**4 + 231*u**3 - 338*u**2 - 460*u + 456 = 0.
-2, 1, 114
Solve 4*c**2 + 128*c + 448 = 0 for c.
-28, -4
Suppose -8*q**5/5 + 18*q**4 + 178*q**3/5 + 54*q**2/5 - 26*q/5 = 0. Calculate q.
-1, 0, 1/4, 13
Solve 2*t**4/11 - 8*t**3/11 - 6*t**2/11 + 20*t/11 + 16/11 = 0 for t.
-1, 2, 4
Factor 2*c**2/19 + 454*c/19 - 916/19.
2*(c - 2)*(c + 229)/19
Find d such that 16*d**4/5 + 588*d**3/5 - 1444*d**2/5 - 1548*d/5 + 468/5 = 0.
-39, -1, 1/4, 3
Suppose 7*x**2/10 - 19*x/10 + 1 = 0. Calculate x.
5/7, 2
Suppose -14*o**3 + 1420*o**2 - 2006*o + 600 = 0. What is o?
3/7, 1, 100
Let g**2/5 - 3*g + 56/5 = 0. Calculate g.
7, 8
Suppose -w**5/5 + 26*w**4/5 - 72*w**3/5 + 14*w**2 - 23*w/5 = 0. What is w?
0, 1, 23
Factor 15*r**2 - 354*r - 144.
3*(r - 24)*(5*r + 2)
Suppose -3*k**3 + 282*k**2 - 3507*k + 11760 = 0. What is k?
7, 80
Factor 2*c**2 + 52*c - 3024.
2*(c - 28)*(c + 54)
Let -3*t**2 + 1356*t - 153228 = 0. Calculate t.
226
Determine f, given that -3*f**4 + 66*f**3 + 147*f**2 - 66*f - 144 = 0.
-2, -1, 1, 24
Find j such that 5*j**4 - 15*j**3 - 5*j**2 + 15*j = 0.
-1, 0, 1, 3
Solve -39*z**3 + 1245*z**2 - 9888*z - 768 = 0.
-1/13, 16
Determine x, given that x**2/6 + 1805*x/6 = 0.
-1805, 0
Suppose 2*o**3 - 22*o**2 + 38*o - 18 = 0. Calculate o.
1, 9
Factor 2*p**2 - 232*p + 6728.
2*(p - 58)**2
Factor -w**4 + 43*w**3 - 123*w**2 + 121*w - 40.
-(w - 40)*(w - 1)**3
Factor 5*a**4 + 20*a**3 - 225*a**2.
5*a**2*(a - 5)*(a + 9)
Factor -g**5 + 16*g**4 - 13*g**3 - 30*g**2.
-g**2*(g - 15)*(g - 2)*(g + 1)
Factor k**3/8 + 359*k**2/8 + 3913*k - 41405/2.
(k - 5)*(k + 182)**2/8
What is n in 2*n**5 + 368*n**4 + 364*n**3 - 368*n**2 - 366*n = 0?
-183, -1, 0, 1
Suppose 2*u**2/13 - 20*u/13 + 50/13 = 0. What is u?
5
What is u in -u**3/7 + 64*u**2/7 - 1300*u/7 + 8112/7 = 0?
12, 26
Factor -3*g**4 - 231*g**3 - 1494*g**2 - 1632*g + 3360.
-3*(g - 1)*(g + 4)**2*(g + 70)
What is h in -5*h**4 + 1040*h**3 - 81120*h**2 + 2812160*h - 36558080 = 0?
52
Let -r**3 - 143*r**2 - 560*r - 556 = 0. What is r?
-139, -2
Determine u, given that -2*u**3/3 + 206*u**2/3 - 1520*u/3 = 0.
0, 8, 95
Let 4*t**4/3 - 3*t**3 - 58*t**2/3 + 53*t - 12 = 0. What is t?
-4, 1/4, 3
Find d, given that 3*d**3/4 - 123*d**2 - 495*d/4 = 0.
-1, 0, 165
Find i such that 5*i**5 + 9850*i**4 + 4851125*i**3 = 0.
-985, 0
Factor -3*j**2/4 + 1011*j - 340707.
-3*(j - 674)**2/4
Factor 3*r**3/8 - 327*r**2/8 + 9765*r/8 - 88641/8.
3*(r - 67)*(r - 21)**2/8
Factor 2*n**4/3 + 22*n**3/3 - 2*n**2/3 - 22*n/3.
2*n*(n - 1)*(n + 1)*(n + 11)/3
Suppose z**2 + 16*z + 15 = 0. What is z?
-15, -1
Factor -2*g**4/3 - 20*g**3/3 - 50*g**2/3.
-2*g**2*(g + 5)**2/3
Let -50*x**3 - 685*x**2 + 210*x = 0. Calculate x.
-14, 0, 3/10
Factor 2*d**3 - 44*d**2 - 318*d - 504.
2*(d - 28)*(d + 3)**2
Factor x**2/7 - 181*x/7 + 1548/7.
(x - 172)*(x - 9)/7
Let -2*a**5/5 - 2*a**4/5 + 222*a**3/5 - 1054*a**2/5 + 292*a - 624/5 = 0. What is a?
-13, 1, 4, 6
Factor 2*w**2/5 + 6*w + 28/5.
2*(w + 1)*(w + 14)/5
Solve -3*g**4 + 624*g**3 + 7776*g**2 + 31488*g + 42240 = 0.
-4, 220
What is s in 4*s**2 - 2596*s - 2600 = 0?
-1, 650
Let -5*l**3 + 85*l**2 + 5*l - 85 = 0. What is l?
-1, 1, 17
Solve 58*c**5 + 236*c**4 + 190*c**3 - 220*c**2 - 248*c - 16 = 0.
-2, -1, -2/29, 1
Factor -2*t**4 - 28*t**3 - 90*t**2.
-2*t**2*(t + 5)*(t + 9)
Solve 2*t**5 + 8*t**4 + 2*t**3 - 28*t**2 - 40*t - 16 = 0 for t.
-2, -1, 2
Determine s, given that 2*s**5 = 0.
0
Factor 9*h**2 + 20*h - 76.
(h - 2)*(9*h + 38)
Suppose 3*m**5 + 24*m**4 + 21*m**3 = 0. What is m?
-7, -1, 0
Factor -3*r**4 + 9*r**3 + 3*r**2 - 9*r.
-3*r*(r - 3)*(r - 1)*(r + 1)
Factor z**2/4 - 357*z/4 + 89.
(z - 356)*(z - 1)/4
Solve 242*k**4/7 + 1364*k**3/7 + 2802*k**2/7 + 2480*k/7 + 800/7 = 0.
-20/11, -1
Factor -h**4/8 + 75*h**3/8 - 419*h**2/8 + 345*h/8.
-h*(h - 69)*(h - 5)*(h - 1)/8
Solve l**3/2 - 81*l**2 + 1091*l/2 - 465 = 0 for l.
1, 6, 155
Find u such that -3*u**2/2 - 333*u/2 + 168 = 0.
-112, 1
Factor 3*h**3/7 - 6*h**2/7 - 3*h - 12/7.
3*(h - 4)*(h + 1)**2/7
Factor 2*k**2 - 34*k + 32.
2*(k - 16)*(k - 1)
Find q such that -q**5 + 26*q**4 - 71*q**3 + 46*q**2 = 0.
0, 1, 2, 23
Factor -b**4/6 + 16*b**3/3 - 205*b**2/6 + 53*b - 24.
-(b - 24)*(b - 6)*(b - 1)**2/6
What is o in 3*o**2/4 - 87*o + 2523 = 0?
58
Suppose -2*r**3/13 + 66*r**2/13 - 726*r/13 + 2662/13 = 0. What is r?
11
What is p in 2*p**3/9 + 22*p**2/9 + 38*p/9 + 2 = 0?
-9, -1
Factor 3*l**3/2 + 81*l**2/2 + 174*l + 198.
3*(l + 2)*(l + 3)*(l + 22)/2
Factor -5*t**4 + 170*t**3 - 1400*t**2 - 1530*t + 13005.
-5*(t - 17)**2*(t - 3)*(t + 3)
Factor k**2 + 32*k - 33.
(k - 1)*(k + 33)
Factor -o**3/5 - 11*o**2 + 504*o/5.
-o*(o - 8)*(o + 63)/5
Solve t**4/5 - 92*t**3/5 + 2116*t**2/5 = 0 for t.
0, 46
Determine v, given that -60*v**2 + 1735*v + 145 = 0.
-1/12, 29
Factor -8*r**2/9 - 2*r - 4/9.
-2*(r + 2)*(4*r + 1)/9
Factor -z**2/12 + 19*z/4 - 105/2.
-(z - 42)*(z - 15)/12
Factor 5*s**2 + 15*s.
5*s*(s + 3)
Suppose -2*x**5 - 16*x**4 - 26*x**3 - 12*x**2 = 0. Calculate x.
-6, -1, 0
Factor -21*q**2/2 - 351*q/2 + 51.
-3*(q + 17)*(7*q - 2)/2
Factor 2*b**4 + 8*b**3 - 56*b**2 + 64*b.
2*b*(b - 2)**2*(b + 8)
Factor 4*c**3/5 - 564*c**2/5
|
{
"pile_set_name": "DM Mathematics"
}
|
ment from kmkkkmkmmm?
5/63
Calculate prob of sequence gxp when three letters picked without replacement from wgpwxgmggdwwwpwgw.
1/408
What is prob of sequence oiie when four letters picked without replacement from {w: 2, m: 4, e: 7, o: 1, i: 6}?
7/3876
What is prob of sequence ayy when three letters picked without replacement from {y: 4, a: 7}?
14/165
What is prob of sequence nfnn when four letters picked without replacement from fnfnnnnfnnnnnnn?
11/91
Calculate prob of sequence dl when two letters picked without replacement from {l: 2, n: 5, d: 2}.
1/18
Three letters picked without replacement from rlrrrrvrrbbbrr. What is prob of sequence rbl?
9/728
Four letters picked without replacement from sizzxzzisxsiis. Give prob of sequence xzzz.
2/1001
Two letters picked without replacement from xnjx. Give prob of sequence xn.
1/6
Four letters picked without replacement from {q: 3, h: 2}. What is prob of sequence hqqq?
1/10
Two letters picked without replacement from {z: 2, q: 1, i: 2, g: 1, a: 1}. What is prob of sequence zz?
1/21
Four letters picked without replacement from boobobbooooooo. What is prob of sequence booo?
120/1001
Two letters picked without replacement from {g: 7}. Give prob of sequence gg.
1
What is prob of sequence mddm when four letters picked without replacement from mmdmffvdfgvdhmvfm?
1/476
What is prob of sequence bb when two letters picked without replacement from nbbbbbbbbbnbbnbnbb?
91/153
Calculate prob of sequence lblc when four letters picked without replacement from lfclcbcfbbbbjlcb.
3/910
Two letters picked without replacement from ydyecddeyy. What is prob of sequence dy?
2/15
Three letters picked without replacement from {x: 1, e: 2, h: 2, m: 2, c: 5, n: 5}. Give prob of sequence ehc.
1/204
Two letters picked without replacement from jjfmmmmmmmfcjammm. Give prob of sequence jc.
3/272
Three letters picked without replacement from {x: 2, q: 6}. Give prob of sequence qqx.
5/28
What is prob of sequence to when two letters picked without replacement from {o: 3, f: 1, p: 2, t: 6, l: 7}?
1/19
What is prob of sequence dd when two letters picked without replacement from edieegzaidiiid?
3/91
Two letters picked without replacement from xdddxddxxxxxdxdxdddx. What is prob of sequence dx?
5/19
Calculate prob of sequence ee when two letters picked without replacement from {x: 5, l: 1, e: 4, s: 2, m: 2}.
6/91
Two letters picked without replacement from vgt. What is prob of sequence tv?
1/6
Two letters picked without replacement from {s: 3, n: 4, z: 2, g: 1}. Give prob of sequence sz.
1/15
Three letters picked without replacement from eeeeeeneenneeneeeeee. Give prob of sequence nee.
8/57
Four letters picked without replacement from {h: 1, l: 2, c: 1, x: 2, j: 1, n: 2}. What is prob of sequence llxn?
1/378
Calculate prob of sequence we when two letters picked without replacement from {e: 7, c: 1, q: 2, u: 1, w: 4}.
2/15
Two letters picked without replacement from {y: 8, o: 6, d: 2, p: 2}. What is prob of sequence po?
2/51
Calculate prob of sequence mmv when three letters picked without replacement from {r: 3, m: 7, v: 2}.
7/110
Calculate prob of sequence zw when two letters picked without replacement from {z: 5, p: 7, w: 2, m: 3}.
5/136
Calculate prob of sequence bv when two letters picked without replacement from hlbhhhhhhlbhhbhvhhh.
1/114
Three letters picked without replacement from zghz. Give prob of sequence gzz.
1/12
Three letters picked without replacement from jggjg. What is prob of sequence gjj?
1/10
What is prob of sequence lgl when three letters picked without replacement from wlnimgwl?
1/168
Calculate prob of sequence pm when two letters picked without replacement from {e: 7, m: 6, w: 3, p: 1}.
3/136
Two letters picked without replacement from {l: 1, d: 1, t: 5, h: 1, g: 7}. Give prob of sequence tt.
2/21
Calculate prob of sequence yyy when three letters picked without replacement from {u: 2, z: 1, t: 4, y: 3, w: 4}.
1/364
What is prob of sequence koe when three letters picked without replacement from eokvooeo?
1/42
Two letters picked without replacement from {a: 4, y: 3, h: 1, f: 1, b: 1, k: 2}. What is prob of sequence aa?
1/11
Two letters picked without replacement from zzzzzz. What is prob of sequence zz?
1
What is prob of sequence dggg when four letters picked without replacement from {g: 3, d: 9, j: 7}?
3/5168
Calculate prob of sequence vwo when three letters picked without replacement from ooowoovvvovwvvoovv.
4/153
Four letters picked without replacement from niiiiinhhiiiini. Give prob of sequence inni.
3/182
Two letters picked without replacement from {z: 5, e: 7, a: 7}. What is prob of sequence ez?
35/342
What is prob of sequence bufx when four letters picked without replacement from xbuguxxufxkfxf?
15/8008
Calculate prob of sequence ffn when three letters picked without replacement from nfofonof.
1/28
Four letters picked without replacement from {f: 2, z: 7, p: 2, m: 1}. What is prob of sequence mfzf?
7/5940
Three letters picked without replacement from jkkkjjjkkjkkkkkjkkk. What is prob of sequence kkj?
52/323
Calculate prob of sequence zur when three letters picked without replacement from {b: 4, z: 2, k: 5, u: 1, r: 2}.
1/546
What is prob of sequence nq when two letters picked without replacement from jzpnqjqqnjn?
9/110
Four letters picked without replacement from {k: 12, p: 1}. Give prob of sequence kpkk.
1/13
Three letters picked without replacement from {a: 5, o: 2}. What is prob of sequence ooa?
1/21
Calculate prob of sequence lx when two letters picked without replacement from {l: 2, x: 7, q: 6, t: 1, m: 2}.
7/153
What is prob of sequence ouo when three letters picked without replacement from {o: 4, u: 15}?
10/323
Two letters picked without replacement from {m: 4, w: 2, b: 3, a: 2}. Give prob of sequence aa.
1/55
Calculate prob of sequence jij when three letters picked without replacement from jjjjjjjjjjji.
1/12
Two letters picked without replacement from gtmxoxxoxxgxxxy. What is prob of sequence xy?
4/105
Three letters picked without replacement from {f: 4, t: 1, u: 11, e: 1}. What is prob of sequence etu?
11/4080
Calculate prob of sequence jjjf when four letters picked without replacement from jffjffjffjjfjffgf.
5/238
Three letters picked without replacement from sssssssessssssesssss. Give prob of sequence ese.
1/190
Two letters picked without replacement from fnzzzffzfnn. Give prob of sequence zn.
6/55
Three letters picked without replacement from alllalllacaaalaalaal. What is prob of sequence lac?
1/76
Three letters picked without replacement from {z: 7}. What is prob of sequence zzz?
1
What is prob of sequence yov when three letters picked without replacement from iyoovhb?
1/105
What is prob of sequence emth when four letters picked without replacement from fmtetftmxhmhet?
2/1001
What is prob of sequence wc when two letters picked without replacement from lcpwwaap?
1/28
Four letters picked without replacement from puvppumbpwpbpvppppm. Give prob of sequence wpuu.
5/23256
Four letters picked without replacement from {h: 4, w: 6, t: 1, r: 2, f: 1, a: 1}. Give prob of sequence taww.
1/1092
Three letters picked without replacement from {e: 4, u: 1, w: 8, l: 2, z: 4, c: 1}. What is prob of sequence zwz?
4/285
Three letters picked without replacement from ccccvcuhqv. What is prob of sequence hvu?
1/360
Calculate prob of sequence kd when two letters picked without replacement from {k: 7, d: 3}.
7/30
Four letters picked without replacement from {c: 2, w: 6}. Give prob of sequence cwcw.
1/28
Calculate prob of sequence ppgx when four letters picked without replacement from pgxxxkxxpkpkpx.
3/1001
Three letters picked without replacement from hkkfwhkhfkhhifhf. Give prob of sequence fwf.
1/280
What is prob of sequence xs when two letters picked without replacement from {s: 4, j: 2, z: 3, k: 2, x: 1, a: 3}?
2/105
Two letters picked without replacement from lmrmemllllmlrlq. Give prob of sequence qe.
1/210
Four letters picked without replacement from jhwhdgwww. Give prob of sequence gdhh.
1/1512
Calculate prob of sequence di when two letters picked without replacement from ididi.
3/10
Calculate prob of sequence tnqq when four letters picked without replacement from {s: 5, h: 1, q: 4, k: 5, n: 2, t: 3}.
1/1615
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
1)?
1
What is the value of (0/(-92))/(6/(-2))?
0
What is -5*2*6/(90/15)?
-10
Calculate (2/24*-3)/(3/(-12)).
1
What is the value of 4/10*(-9)/(27/5)?
-2/3
Calculate ((-2)/3)/(-8*1/(-3)).
-1/4
((-285)/(-380))/(6/(-2))
-1/4
What is 16/((-13)/(52/(-16)))?
4
Calculate (9/(-120))/(22/(-88)).
3/10
Calculate (-22)/22*0/2.
0
Calculate ((-10)/(-15))/(6/(-45)).
-5
What is the value of 1*4*3*(-9)/162?
-2/3
What is the value of ((-80)/12*(-18)/10)/2?
6
What is the value of ((-3)/4)/(23/(-92))?
3
Evaluate (-16)/(-72)*(-2)/(8/(-12)).
2/3
What is 3/9*2*45/255?
2/17
((-6)/45)/(4/20)
-2/3
Evaluate ((-4)/(-12))/(2/(-30)).
-5
Calculate 2*6/(-4)*(-1)/8.
3/8
What is the value of ((-10)/(-50))/((-2)/(-5))?
1/2
What is the value of (0/(4/(-2)))/2?
0
What is the value of (-49)/21*288/(-168)?
4
Evaluate (2/2)/(161/(-46)).
-2/7
What is (18/45)/(((-42)/(-5))/6)?
2/7
Evaluate 184/(-230)*5/14.
-2/7
18/15*40/(-64)
-3/4
Evaluate ((-52)/(-728))/(2/21).
3/4
What is the value of 14/21*2*(-3)/4?
-1
Calculate (4/(-36)*-9)/(51/(-6)).
-2/17
Evaluate ((-11)/((-572)/39))/(114/(-16)).
-2/19
Calculate (20/(-12))/5*0/(-1).
0
Evaluate (24/(-12))/(-8)*-36.
-9
What is the value of (0/(-1))/2*(-304)/(-608)?
0
Calculate (-57)/380*(-5)/(-6)*1.
-1/8
Evaluate 0/2*(-2)/((-12)/3).
0
Calculate ((-3)/12)/((-17)/(-68)).
-1
What is the value of 2/(-12)*-3*2?
1
Calculate (7/((-42)/4))/((-9)/(-3)).
-2/9
What is ((-4)/(-6))/((-3)/(6/4))?
-1/3
(1/2)/((-410)/(-492))
3/5
Calculate (2976/(-1240))/(2/10*2).
-6
Evaluate (2/(-1*2))/(169/26).
-2/13
What is the value of 3/(6*(-10)/(-20))?
1
Evaluate (-10)/(-3)*(-6)/(-90).
2/9
Calculate ((-28)/8)/7*(-10)/45.
1/9
Calculate 4*1*(5/2)/5.
2
((-18)/10)/(216/360)
-3
Calculate ((-10)/100)/((-1)/4).
2/5
Evaluate (150/45)/((-4)/6).
-5
((-5)/(-10))/((-6)/36)
-3
Evaluate (2/7)/((-23)/138*3).
-4/7
((48/(-9))/16)/(1/6)
-2
What is the value of 5/5*4/4*5?
5
2*2/(-6)*(-9)/60
1/10
Calculate 105/140*(-3)/((-9)/2).
1/2
((-9)/12)/(2/(-8))
3
(-20)/5*(-3)/(-14)
-6/7
Evaluate (9/24)/((-27)/(-18)).
1/4
Calculate -5*(18/6)/(-3).
5
Calculate 280/84*(-9)/(-6).
5
What is the value of (-4)/14*(-7)/3?
2/3
What is 5*3/45*-4?
-4/3
10/(3/3*-2*-1)
5
Evaluate ((-9)/(-9))/((-2)/(-6)*3).
1
What is the value of (2*(-3)/4)/(2/4)?
-3
(15/(-30))/(((-6)/2)/36)
6
What is (120/((-100)/(-10)))/2?
6
What is the value of (-2*3/(-36))/(2/2)?
1/6
What is ((-6)/10)/(51/680)?
-8
(-6)/((-1008)/8)*7
1/3
9/3*72/54
4
(6/15)/((-3)/6)
-4/5
What is the value of 49/((-1372)/(-24))*2/3?
4/7
What is ((117/24)/13)/((-2)/4)?
-3/4
Evaluate ((-2)/(-1)*10/(-20))/9.
-1/9
What is ((2/(-8))/1)/((-126)/(-144))?
-2/7
Calculate ((-175)/(-70))/((5/(-2))/(-5)).
5
Evaluate -5*2/(6/3).
-5
Evaluate (4/10)/((72/15)/(-8)).
-2/3
Evaluate (18/3)/90*-6.
-2/5
Evaluate ((-5)/(-15))/(3/(-18)).
-2
Calculate ((-3)/9)/((-5)/(-20)).
-4/3
What is 13/(468/(-30))*(-18)/10?
3/2
(-5)/(((-60)/(-18))/(-2))
3
((-69)/276)/((-14)/16)
2/7
What is the value of 6/(-4)*2/(-4)*-2?
-3/2
((-5)/(-15))/((55/(-60))/11)
-4
10/((-180)/81)*1/(-6)
3/4
What is the value of (-1*(-24)/(-90))/(16/(-36))?
3/5
Evaluate ((-4)/(-7))/(154/49).
2/11
What is (5/6)/(105/28)?
2/9
What is ((-15)/5)/(15/(-3))*-3?
-9/5
What is the value of (-11)/((-88)/(-5))*(-12)/(-10)?
-3/4
What is (-1)/((7/(-28))/(2/(-4)))?
-2
Evaluate (38/57)/((-16)/36).
-3/2
(-4)/((-5)/((-10)/4))
-2
(10*5/(-10))/1
-5
Evaluate (-12)/(-14)*21/6.
3
Evaluate ((45/(-12))/5)/((-29)/(-232)).
-6
Calculate (15/21)/(-5)*1*-1.
1/7
What is the value of 1/(1/1*(-26)/(-4))?
2/13
Evaluate (1/(-117)*3)/((-4)/(-12)).
-1/13
What is 6/20*(-32)/(-24)?
2/5
Calculate (-392)/(-56)*4/154.
2/11
What is the value of (-4)/(-16)*10*176/(-55)?
-8
What is the value of (10/455)/(1/7)?
2/13
Calculate (0/(((-4)/(-1))/2))/(-1).
0
Evaluate 1/(10/6)*5/(-30).
-1/10
What is ((-56)/35)/((-12)/(-30))?
-4
What is the value of (-948)/(-158)*(-2)/20?
-3/5
What is (6*3/9)/(18/(-2))?
-2/9
What is the value of 1*4*(-14)/((-336)/(-18))?
-3
What is the value of ((-64)/40)/((-4)/(-10))?
-4
Evaluate (2/(56/(-12)))/((-2)/7).
3/2
What is the value of (-80)/30*6/(-4)?
4
Evaluate 4/2*13/429*11.
2/3
Evaluate (-8)/(-6)*(-3)/(-2)*-1.
-2
(-1)/(132/30)*4/(-5)
2/11
Calculate ((-3)/3)/(3/12).
-4
Calculate (3/(-3))/(((-12)/(-9))/(-4)).
3
8/(-6)*63/42
-2
((-120)/450)/((-6)/(-5))
-2/9
What is (44/33)/(1/(-3)*1)?
-4
(6/(-20))/((-5)/(100/(-24)))
-1/4
Calculate (2/2)/(68/(-85)).
-5/4
What is the value of (2/7)/((20/15)/(-2))?
-3/7
What is the value of (2/8)/((-6)/180*-5)?
3/2
Calculate (-45)/12*(-2)/6.
5/4
What is the value of 5*-9*1/36*-4?
5
((-3)/3)/(3/4)
-4/3
What is (4/14)/(3/(-9)*-6)?
1/7
5/(-1)*15/(120/8)
-5
Calculate ((-7)/(-42))/(-2*1/8).
-2/3
What is the value of 48/120*2/(56/30)?
3/7
Evaluate (6/(-10))/((-99)/110).
2/3
Evaluate (-9*44/(-297))/((-8)/(-18)).
3
What is ((-26)/(-156))/((-1)/(-6))?
1
Calculate (4/(-8))/(2/(-12)).
3
What is the value of 5*(-32)/120*(-12)/16?
1
What is (2*1)/(16/288*-9)?
-4
What is the value of (2/1)/((-153)/51)?
-2/3
Evaluate 5*(-3)/((-30)/4).
2
(-2)/((-4)/2*3)*0
0
3/99*3*8/4
2/11
Evaluate ((-192)/18)/4*(-9)/(-78).
-4/13
((-2)/6)/(-1)*0/(-2)
0
Calculate 1*10*(-18)/(-288)*-8.
-5
What is (8/(-12))/((2/(-15))/(-1))?
-5
((-1)/1)/(4*(-7)/(-14))
-1/2
Evaluate 3/(-16)*-4*1/(-6).
-1/8
Calculate (-35)/14*8/10.
-2
What is (-6)/(-8)*(-4)/(-6)?
1/2
What is -2*5*(-6)/(-15)?
-4
Calculate 4/(-8)*-3*1/(-6).
-1/4
What is the value of ((-2)/5*-3)/((-27)/90)?
-4
What is ((-8)/(-3))/((-26)/39)?
-4
Evaluate (68/34)/(2/15*-3).
-5
((((-3)/(-3))/1)/3)/(-1)
-1/3
Evaluate (-45)/18*4/(-35).
2/7
What is the value of (1/(-12))/((24/18)/(-4))?
1/4
Evaluate (((-9)/(-3))/(-6))/((-8)/80).
5
What is the value of 9*1/(-12)*-4?
3
What is the value of 1/((28/(-8))/(-7))?
2
Calculate (-1)/((-1)/9*-9).
-1
What is (6/10)/((-225)/250)?
-2/3
What is the value of ((-240)/(-60))/((-1)/(2/2))?
-4
Calculate -1*2/(-4)*(-6)/(-15).
1/5
Calculate ((-2)/20)/((-10)/(-125)).
-5/4
What is (-6)/4*14/7?
-3
(1/2)/((-40)/112)
-7/5
Calculate ((-4)/(-36)*-6)/(32/18).
-3/8
Evaluate (-3)/2*(-44)/(-99).
-2/3
Calculate ((6/3)/(-2))/(10/(-40)).
4
What is the value of (2/4)/(6/12)?
1
Calculate (-21)/18*46/322.
-1/6
What is the value of ((-6)/(-10))/(63/315)?
3
Evaluate ((66/15)/11)/((-8)/(-15)).
3/4
(-141)/94*2/(-3)*2
2
(4/40)/((-2)/5)
-1/4
What is (-8)/14*119/(-34)?
2
What is 3*5/((-15)/2)?
-2
Calculate ((-12)/7)/((-120)/(-560)).
-8
((-3165)/844)/((9/2)/(-3))
5/2
1/((36/20)/(3/10))
1/6
What is the value of 0*(-4)/(-16)*4/4?
0
Evaluate ((-12)/(-33))/(((-96)/(-66))/8).
2
What is (-25)/15*3/(-5)?
1
What is 5/(6*(-55)/264)?
-4
Evaluate 3/(-5)*15/(15/5).
-3
Evaluate 6/(162/3)*3.
1/3
(6/10)/(3/25)
5
(20/(-10))/(1/2)
-4
12/((-12)/2)*(-4)/(-20)
-2/5
What is (-4*(-5)/100)/((-68)/(-40))?
2/17
(12/21*1)/((-14)/(-49))
2
Evaluate 1*(10/30)/((-1)/3).
-1
(1/(-3))/((-1)/15)
5
What is -6*5/(-40)*4?
3
((-8)/(-24))/((-1)/6)
-2
What is the value of -1*3*(-3)/18*4?
2
(3/63*-2)/(12/7)
-1/18
(-244)/(-366)*3/2
1
Calculate (((-3)/3)/(-1))/((-2)/(-4)).
2
Evaluate (-252)/54*(-12)/14.
4
What is 1/((-18)/((-12)/(-2)))?
-1/3
Calculate 4/(-6)*63/42.
-1
Calculate 27/198*36/(-27).
-2/11
Evaluate 3/(((-135)/(-10))/(-1)).
-2/9
Evaluate (-56)/(-70)*(-5)/3.
-4/3
What is the value of (18/(-10))/(-4*8/(-160))?
-9
((-12)/18)/(((-32)/60)/4)
5
What is the value of 1/3*0*(-10)/(-10)?
0
What is (2/(-6))/((36/135)/(-4))?
5
((-24)/28)/(6/42)
-6
((-1)/(-5))/((8/10)/(-4))
-1
What is 120/(-10)*-2*4/16?
6
Calculate 2/(-5)*(-8)/16.
1/5
3/(-27)*((-297)/45)/11
1/15
Calculate (-21)/3*(-2)/14.
1
Calculate (-1)/(-5)*(-64)/(-64).
1/5
What is (-64)/96*6/(-14)?
2/7
Calculate (-21)/(-4)*(-8)/(-224)*8.
3/2
Calculate -21*(80/360)/((-4)/6).
7
Calculate ((-4)/30)/((-3)/54*3).
4/5
What is (1/(-26))/(((-9)/(-3))/(-12))?
2/13
Evaluate (-2*91/(-13))/(-2).
-7
Evaluate (-16)/(-24)*(-6)/(-2).
2
What is the value of (5/(10/3))/(30/(-40))?
-2
Calculate 5/4*2*8/10.
2
Calculate 2/18*48/(-32).
-1/6
(3/1)/((-12)/(-16)*-5)
-4/5
Evaluate (60/(-195))/(2/1).
-2/13
Calculate ((-4)/10)/(34/(-85)).
1
(8/(-6))/(-3*(-2)/9)
-2
Calculate (78/117)/((-15)/9).
-2/5
Calculate (4/(-3))/((-4)/6).
2
What is the value of (1*18/9)/(-1)?
-2
What is the value of (-5)/(49/(-14)*(-4)/(-28))?
10
Calculate 27/36*(-5)/(-3).
5/4
What is the value of 15/(-5)*((-9)/3)/3?
3
Calculate (1/25*-4)/(1/5).
-4/5
Evalu
|
{
"pile_set_name": "DM Mathematics"
}
|
64
Simplify ((sqrt(153)*2 + -4 - sqrt(153)) + (sqrt(153) - (sqrt(153)*5 + sqrt(153))) + 2)**2.
48*sqrt(17) + 2452
Simplify (-1*sqrt(132)*3*-2)/((5*(sqrt(432) - sqrt(48)))/sqrt(4))*5.
3*sqrt(11)
Simplify (sqrt(228) + 4*(sqrt(228) + 1*sqrt(228)))/(1*sqrt(12)*5) + 5*(sqrt(95)*1 + sqrt(95))/sqrt(5)*-4.
-191*sqrt(19)/5
Simplify (sqrt(480)/(sqrt(10) + sqrt(70)/sqrt(7)) - sqrt(4800)*3)*-6.
708*sqrt(3)
Simplify -1*5*(((sqrt(153) - 1*sqrt(153)) + sqrt(153))/sqrt(9) - sqrt(119)/(1*sqrt(7))).
0
Simplify (5*sqrt(228)/sqrt(6))/((sqrt(22)*4)/sqrt(11)).
5*sqrt(19)/4
Simplify 3*-4*(6*-2*(-1 + sqrt(637)))**2.
-1102464 + 24192*sqrt(13)
Simplify (((sqrt(168)*-2 - sqrt(168))*-1)/sqrt(8))/((sqrt(224)/sqrt(4))/sqrt(2)).
3*sqrt(3)/2
Simplify 1*sqrt(5)*-5 + ((sqrt(40)*1)/sqrt(8))**2 - ((1*sqrt(45))/sqrt(9) - (sqrt(80) + 1)).
-2*sqrt(5) + 6
Simplify (-1*-6*sqrt(147))**2 - (6*sqrt(882))/sqrt(6).
-42*sqrt(3) + 5292
Simplify -5*((sqrt(2) - (sqrt(2) + 1))*-5)**2*-2 + 4 + (0 + sqrt(162))**2 + ((0 + sqrt(162) - sqrt(162)) + 3)**2.
425
Simplify -4 + (-3*sqrt(684)*-2)**2 + (sqrt(133)/(sqrt(21)/sqrt(3) + sqrt(7)) - (sqrt(19)*-2 + 2))**2.
-10*sqrt(19) + 98971/4
Simplify (((4*sqrt(350))/sqrt(10))/(sqrt(21)/(sqrt(6)/sqrt(2) + sqrt(3))))**2.
320
Simplify ((-3*(sqrt(252) + sqrt(252)*-2) + (sqrt(252) + -1)*-2)*-5)**2.
600*sqrt(7) + 6400
Simplify ((-2 + 1*-2*sqrt(1900))*-3 + 0)*-3.
-180*sqrt(19) - 18
Simplify (sqrt(11) - (sqrt(891) + 4)) + (0 + sqrt(539))**2 + -4.
-8*sqrt(11) + 531
Simplify (((-2*sqrt(24))/sqrt(3))/(sqrt(576) + sqrt(576)*2))**2.
1/162
Simplify -2*-4*(2*sqrt(162) - sqrt(162)) + (sqrt(162)*1 + -2 - (-2*sqrt(162)*-5)**2).
-16202 + 81*sqrt(2)
Simplify sqrt(22)/(-1*sqrt(2)*-1) + (sqrt(11) - (5 + sqrt(11) + (sqrt(176) - sqrt(11)))**2 - (0 + sqrt(99))**2) + -5.
-305 - 38*sqrt(11)
Simplify sqrt(650)/sqrt(2)*-6 + (sqrt(1573) - (sqrt(1573) + (sqrt(1573)*-1 - sqrt(1573)) + -5)).
-8*sqrt(13) + 5
Simplify 6*(sqrt(242)*1*5 + 2*-2*sqrt(242))**2*-1 + 5.
-1447
Simplify (-5*(3 + sqrt(125)) + -2*(sqrt(405)*-2 + sqrt(405)) + -4)**2.
266*sqrt(5) + 606
Simplify 3*((1*(sqrt(208) + -1))**2 + sqrt(208)) + 1 + -3.
-12*sqrt(13) + 625
Simplify ((-2 + sqrt(2))*5 + sqrt(50)*-2)*-1*4.
20*sqrt(2) + 40
Simplify (-6*(1 + -3 + ((sqrt(243)*1 - sqrt(243))*-5 + sqrt(243) - sqrt(243) - sqrt(243)) + sqrt(243)*-2 + -3))**2.
9720*sqrt(3) + 79632
Simplify (-2*sqrt(84)*-3)/(3*sqrt(12)/sqrt(4)*-6).
-2*sqrt(7)/3
Simplify 5*((sqrt(1900) + (sqrt(1900) - ((-2*(sqrt(1900) + 4 + sqrt(1900)))**2 - sqrt(1900))) - sqrt(1900)) + -3).
-152335 - 3100*sqrt(19)
Simplify (3*sqrt(180)*-1 - sqrt(180))/(sqrt(12)/(-3*sqrt(300))).
360*sqrt(5)
Simplify 1*-2*((sqrt(28)*5)**2 - (sqrt(252)*2 - sqrt(7))).
-1400 + 22*sqrt(7)
Simplify (1 + (-5*sqrt(44)/sqrt(4) - sqrt(11)))**2 - ((sqrt(33)/sqrt(3))**2*-4 + -4).
-12*sqrt(11) + 445
Simplify (5*-2*sqrt(351))/(sqrt(147) + (sqrt(147) - (-2*sqrt(147) - sqrt(147)))*-1 + sqrt(147) - sqrt(147)).
10*sqrt(13)/7
Simplify 4*(sqrt(22)/(sqrt(8)/sqrt(4)) - (sqrt(88) + -2*sqrt(88) + sqrt(88) + sqrt(88))/sqrt(8)) + 2.
2
Simplify (sqrt(76) - -6*-1*sqrt(76)) + sqrt(304) + -1 + 1 + 1.
-6*sqrt(19) + 1
Simplify ((-1 + sqrt(75))*2)**2 + -1 + (sqrt(300) + (sqrt(300) + 1 - sqrt(300) - sqrt(300) - sqrt(300)) + -5)**2 + -1.
40*sqrt(3) + 618
Simplify 3*((sqrt(85)/(sqrt(5) - (sqrt(5) - (sqrt(40)*3)/sqrt(8))))**2 - ((-1*-2*sqrt(102))/sqrt(6))**2).
-595/3
Simplify (sqrt(2268)*2 + 4)**2 + (6*(sqrt(112)*-1 + sqrt(112) + -3))**2.
288*sqrt(7) + 9412
Simplify (3 + (3 + 1*(-1 + sqrt(300)))*2*4)**2.
3040*sqrt(3) + 19561
Simplify (-3*1*sqrt(117)*-2)/(sqrt(441)*-2*-3).
sqrt(13)/7
Simplify ((sqrt(342)*-5)/(sqrt(50)*-5))**2.
171/25
Simplify (sqrt(65) + (sqrt(65) - 5*sqrt(65)*1) + sqrt(65) + sqrt(65) + 2*2*sqrt(65) + sqrt(65))/((sqrt(180) - sqrt(180)*-3)*1).
sqrt(13)/6
Simplify (sqrt(11) - (sqrt(88)*-2)/sqrt(8)) + (2 + sqrt(275))**2 - ((sqrt(66)*-3)/sqrt(6) - sqrt(66)/(-2*sqrt(6) - sqrt(6))).
77*sqrt(11)/3 + 279
Simplify (sqrt(96)/sqrt(6))/(sqrt(18)*-3).
-2*sqrt(2)/9
Simplify -3 + (-2 + sqrt(6300))**2 - ((1 + sqrt(6300) - sqrt(6300)) + -2)**2.
-120*sqrt(7) + 6300
Simplify (-1*(sqrt(187) + 1*sqrt(187) + sqrt(187)))/(sqrt(121)/(4*sqrt(11))).
-12*sqrt(17)
Simplify ((sqrt(180) - (3*sqrt(180)*-2 + sqrt(180)))/sqrt(10))/(sqrt(1296)*2*-1).
-sqrt(2)/4
Simplify (sqrt(175) - (sqrt(175) - (sqrt(175) + 6*(sqrt(175) - -2*sqrt(175))))**2 - (sqrt(175) - (-1 + (sqrt(175)*1 - sqrt(175))))) + -1.
-56702
Simplify (1*(sqrt(190) - (sqrt(190) + sqrt(190) + -2*sqrt(190)))*-5)/((sqrt(1440) - (sqrt(1440) + sqrt(1440)*-1*-5 - sqrt(1440))) + sqrt(1440)).
5*sqrt(19)/36
Simplify (-5*sqrt(99) + -2 - ((sqrt(110)*-2)/sqrt(10) - (-3 + sqrt(11) + 1)))**2.
96*sqrt(11) + 1600
Simplify (-1*((sqrt(209) - sqrt(209)*1) + sqrt(209)) + 5*(2*sqrt(209) + sqrt(209)))/(-1*sqrt(22)/(sqrt(2) - (sqrt(2)*-2 + sqrt(2)))).
-28*sqrt(19)
Simplify sqrt(6)/(sqrt(4)/sqrt(2))*5 - ((-1*sqrt(18))/sqrt(6) + -5 + sqrt(9)/sqrt(3)).
5 + 5*sqrt(3)
Simplify 3 + (sqrt(325) - (1 + sqrt(325)*-2))**2 + -5.
-30*sqrt(13) + 2924
Simplify ((sqrt(847) + -1)**2 + sqrt(343) + -3)*2.
-30*sqrt(7) + 1690
Simplify ((sqrt(408) - (sqrt(408) + sqrt(408)*1 - sqrt(408)))/sqrt(12))/sqrt(2) + (4 + -3 + sqrt(1377))**2.
18*sqrt(17) + 1378
Simplify -5 + sqrt(14)/(-6*sqrt(28)) + 5.
-sqrt(2)/12
Simplify ((-5*(sqrt(1088)*2 - sqrt(1088))**2 - sqrt(1088)) + (sqrt(1088) + 1)*-3)*3*-3.
288*sqrt(17) + 48987
Simplify (-3 + 3 + (5 + sqrt(1452)*2 - (sqrt(1452) + 0 + sqrt(1452))*1))**2.
25
Simplify sqrt(175) + (4 + sqrt(175) + 2)**2 + (-1 + sqrt(175) + -1)**2 + -5.
45*sqrt(7) + 385
Simplify -2*((sqrt(2448) + -5*(2 + sqrt(2448)))**2 + ((-4*sqrt(102))/sqrt(6) + sqrt(17))*-6).
-78536 - 1956*sqrt(17)
Simplify ((sqrt(77) - 2*sqrt(77))*3 + sqrt(77) - -2*sqrt(77)*3)/(sqrt(7) - sqrt(28)/(sqrt(16)/sqrt(4)) - (sqrt(7) + (sqrt(105)/sqrt(3))/sqrt(5))).
-2*sqrt(11)
Simplify ((sqrt(360)*5)/sqrt(6))/sqrt(12) + -4 + -4.
-8 + 5*sqrt(5)
Simplify -2 + -3*sqrt(18)/sqrt(6)*-3 + 3.
1 + 9*sqrt(3)
Simplify (1 + 2 + 6*(sqrt(468) + -1))**2.
-216*sqrt(13) + 16857
Simplify ((-4*sqrt(7)*2*3 + 3*sqrt(28)/sqrt(4)*2)*-5)**2.
56700
Simplify ((sqrt(68) + -1 + 4 - (sqrt(68) + 1*(-1 + sqrt(68)) + sqrt(68) + sqrt(68))) + 3)**2*1.
-84*sqrt(17) + 661
Simplify (-6*-5*sqrt(170))/sqrt(10) - (sqrt(833)*2)**2*3.
-9996 + 30*sqrt(17)
Simplify ((sqrt(76) - -3*sqrt(76)*-2) + 3*(sqrt(76) + -1))**2 + (sqrt(76) + -2 + sqrt(76) + -5)*-5.
4*sqrt(19) + 348
Simplify 3 + ((-4 + -2*sqrt(2))**2 - (sqrt(6)/(sqrt(27) - sqrt(3)))**2).
16*sqrt(2) + 53/2
Simplify (2*sqrt(80))/(sqrt(16)/(sqrt(12)/sqrt(3) + sqrt(4))).
8*sqrt(5)
Simplify 1*(sqrt(5)*1)**2 - (sqrt(10)/sqrt(2)*4)**2 - -1*(-1 + sqrt(5))*-3.
-72 - 3*sqrt(5)
Simplify 0 + -2 + -4 + -1*sqrt(405) + -2.
-9*sqrt(5) - 8
Simplify (((sqrt(5600) + -1*sqrt(5600))/sqrt(7))/((sqrt(576) + (sqrt(576) - (sqrt(576) - (sqrt(576)*2 - sqrt(576))) - sqrt(576)) + sqrt(576))*-1))**2.
0
Simplify (3 + -2 + (1 + 1*sqrt(931) - 1*-1*sqrt(931)))**2.
56*sqrt(19) + 3728
Simplify (sqrt(25) + (-1*sqrt(125))/sqrt(5))/(6*sqrt(45)).
0
Simplify 2*sqrt(68) + sqrt(153)*5 - ((sqrt(1377) - (sqrt(1377) + 1))**2*2 - (sqrt(1377) + ((sqrt(1377) + -1)*4)**2)).
-260*sqrt(17) + 22046
Simplify (5*3*sqrt(18)*-1)/((2*sqrt(324) - sqrt(324))*-2).
5*sqrt(2)/4
Simplify (2*(sqrt(10) - sqrt(250) - sqrt(10)))/(sqrt(5) - -6*sqrt(20)) + 3.
-10*sqrt(2)/13 + 3
Simplify sqrt(76)/(sqrt(256) - (sqrt(256)*3 + sqrt(256))) + -1*(sqrt(19) - ((2*sqrt(19))**2 + 1)).
-25*sqrt(19)/24 + 77
Simplify (sqrt(475) - sqrt(475)*-1)*-6 - (-2*sqrt(475)*-4)**2.
-30400 - 60*sqrt(19)
Simplify 1*(2 + (0 + sqrt(192) + sqrt(192))**2 - sqrt(192)) - (sqrt(27) + (sqrt(27) - sqrt(297)/(sqrt(22)/sqrt(2))))/(2*sqrt(18)/sqrt(2)).
-17*sqrt(3)/2 + 770
Simplify 1 + (-4 + (sqrt(325) - (sqrt(325) - (2*sqrt(325)*1 + sqrt(325)))))**2.
-120*sqrt(13) + 2942
Simplify -1*((sqrt(612) - (sqrt(612) + 0)*3) + (sqrt(612) + 0 + sqrt(612) + sqrt(612) - sqrt(612)) + 5)**2.
-25
Simplify -6*((sqrt(275) + 3 + 0 + sqrt(275) - sqrt(275)) + (-3 + (sqrt(275) + 1 - sqrt(275)))**2 - (2 + sqrt(275) + -5*1*sqrt(275) + sqrt(275))).
-120*sqrt(11) - 30
Simplify (sqrt(275)*-1 + -4 - ((sqrt(66)*-2)/sqrt(6) + -5))**2.
-6*sqrt(11) + 100
Simplify ((sqrt(117) - (sqrt(117) + -2)) + sqrt(13) + (-3*sqrt(143) + sqrt(143))/sqrt(11))**2*6 + -1.
-24*sqrt(13) + 101
Simp
|
{
"pile_set_name": "DM Mathematics"
}
|
55
Four letters picked without replacement from {h: 9, t: 1, n: 1, o: 3}. Give prob of picking 3 o and 1 h.
9/1001
Calculate prob of picking 2 v when two letters picked without replacement from {v: 7, k: 6, g: 1}.
3/13
Calculate prob of picking 2 o and 1 l when three letters picked without replacement from {l: 1, o: 2, w: 1, k: 1}.
1/10
Three letters picked without replacement from {t: 1, l: 1, d: 3, c: 1, e: 1}. What is prob of picking 1 e, 1 d, and 1 t?
3/35
Four letters picked without replacement from {u: 7}. What is prob of picking 4 u?
1
Two letters picked without replacement from {g: 2, m: 2, y: 1, w: 1, e: 1}. Give prob of picking 1 g and 1 m.
4/21
Two letters picked without replacement from rboboenhbro. What is prob of picking 1 n and 1 h?
1/55
Two letters picked without replacement from gbddgb. What is prob of picking 2 d?
1/15
Three letters picked without replacement from {h: 1, y: 1, u: 6, x: 1}. What is prob of picking 1 h, 1 x, and 1 u?
1/14
What is prob of picking 1 s and 1 c when two letters picked without replacement from {d: 2, s: 1, c: 1}?
1/6
Calculate prob of picking 1 f and 1 u when two letters picked without replacement from {f: 2, e: 1, u: 1, s: 3}.
2/21
What is prob of picking 3 l and 1 t when four letters picked without replacement from ttlltttlnl?
2/21
What is prob of picking 2 l, 1 q, and 1 f when four letters picked without replacement from {o: 1, l: 1, q: 1, f: 2}?
0
Two letters picked without replacement from {i: 9, q: 7}. Give prob of picking 2 q.
7/40
Two letters picked without replacement from aaiaaaiocao. What is prob of picking 1 i and 1 c?
2/55
Two letters picked without replacement from {r: 1, w: 4, a: 1, m: 1, e: 1}. Give prob of picking 1 r and 1 w.
1/7
Calculate prob of picking 1 e and 2 u when three letters picked without replacement from eeeeeueueeujueeeuue.
60/323
Four letters picked without replacement from unnnnnuunnu. Give prob of picking 1 u and 3 n.
14/33
Calculate prob of picking 1 x and 1 t when two letters picked without replacement from xuauxzxaxuzzxtxxxx.
1/17
Four letters picked without replacement from cecpcepceecpccccpcpp. Give prob of picking 1 c, 1 p, and 2 e.
24/323
Calculate prob of picking 1 x and 1 y when two letters picked without replacement from ddddxdddyddddxddx.
3/136
Calculate prob of picking 2 r, 1 p, and 1 h when four letters picked without replacement from {t: 2, p: 4, r: 3, h: 1}.
2/35
Calculate prob of picking 2 s and 2 g when four letters picked without replacement from mggmgsmggssgg.
63/715
Calculate prob of picking 1 z and 1 j when two letters picked without replacement from {j: 1, z: 5, a: 3, l: 1, c: 3, m: 4}.
5/136
What is prob of picking 2 z when two letters picked without replacement from zjjjzzjjzzzjz?
7/26
Four letters picked without replacement from qqqqqcqccqc. What is prob of picking 4 q?
7/66
What is prob of picking 1 r and 3 o when four letters picked without replacement from rvrorvrvfvofovfrorr?
7/969
Two letters picked without replacement from vfvvvjrvr. Give prob of picking 1 v and 1 f.
5/36
Two letters picked without replacement from {t: 1, z: 2, y: 1, q: 1, a: 5}. Give prob of picking 1 y and 1 z.
2/45
Four letters picked without replacement from bhhbbhhh. What is prob of picking 2 b and 2 h?
3/7
Three letters picked without replacement from {o: 1, s: 1, v: 9, j: 1, p: 2, k: 6}. What is prob of picking 3 v?
7/95
Four letters picked without replacement from {y: 1, f: 1, x: 10, o: 7}. What is prob of picking 1 y, 1 o, and 2 x?
105/1292
Three letters picked without replacement from kkkkmkkk. What is prob of picking 3 k?
5/8
Three letters picked without replacement from jjtjjjjytyyjjjyjjtjj. Give prob of picking 2 t and 1 y.
1/95
Three letters picked without replacement from zlvlllvvellkzlkllz. Give prob of picking 1 v and 2 z.
3/272
Two letters picked without replacement from {o: 8, e: 3}. Give prob of picking 2 o.
28/55
What is prob of picking 1 v and 1 o when two letters picked without replacement from xxvlnrvlrvnxrnrvlron?
2/95
Two letters picked without replacement from {q: 9, w: 4, u: 3}. Give prob of picking 2 q.
3/10
Three letters picked without replacement from oedzeeareeeereaeaeee. What is prob of picking 2 e and 1 r?
11/95
Four letters picked without replacement from {t: 2, l: 2, s: 2, o: 5, r: 1, p: 2}. Give prob of picking 1 s, 1 p, and 2 l.
4/1001
Four letters picked without replacement from {j: 2, w: 3, x: 4}. What is prob of picking 3 w and 1 j?
1/63
Two letters picked without replacement from xfxfxfff. Give prob of picking 2 x.
3/28
What is prob of picking 3 s and 1 g when four letters picked without replacement from synsgsyysnyyy?
4/715
Three letters picked without replacement from {b: 7, q: 1, h: 1, s: 9}. What is prob of picking 2 b and 1 s?
63/272
Three letters picked without replacement from {n: 4, l: 11, a: 1, x: 3}. Give prob of picking 1 x and 2 l.
55/323
Calculate prob of picking 1 i and 1 e when two letters picked without replacement from qeietqtqtqribtq.
4/105
Two letters picked without replacement from {x: 9, j: 4, d: 6}. Give prob of picking 1 x and 1 d.
6/19
Three letters picked without replacement from bcbvpcbcbbbbbcb. What is prob of picking 2 c and 1 v?
6/455
What is prob of picking 1 d, 1 v, 1 k, and 1 s when four letters picked without replacement from {v: 2, w: 1, d: 2, k: 1, s: 2}?
4/35
Four letters picked without replacement from fafxffwuaauaaffaaf. Give prob of picking 1 f, 2 a, and 1 x.
49/1020
Two letters picked without replacement from {b: 8, c: 3}. What is prob of picking 2 c?
3/55
What is prob of picking 2 v when two letters picked without replacement from {z: 2, v: 2}?
1/6
Four letters picked without replacement from {i: 2, s: 1, j: 1, b: 1}. What is prob of picking 2 b and 2 j?
0
What is prob of picking 2 l, 1 g, and 1 x when four letters picked without replacement from ldllldlglxllllldlxd?
11/323
Three letters picked without replacement from mmmmmmmmammamam. Give prob of picking 2 a and 1 m.
36/455
Four letters picked without replacement from {p: 1, c: 2, l: 5, k: 6, b: 2}. What is prob of picking 1 c, 1 l, and 2 k?
15/182
Two letters picked without replacement from {b: 1, a: 1, d: 1, s: 1, x: 5}. What is prob of picking 1 d and 1 a?
1/36
Four letters picked without replacement from ghjicji. Give prob of picking 1 h, 1 g, and 2 j.
1/35
Four letters picked without replacement from {i: 1, x: 2, o: 1, p: 2, s: 1}. Give prob of picking 1 i and 3 o.
0
Calculate prob of picking 2 l when two letters picked without replacement from {u: 1, r: 10, l: 7}.
7/51
Two letters picked without replacement from {i: 1, t: 4, r: 2, d: 9}. Give prob of picking 1 i and 1 r.
1/60
Three letters picked without replacement from wwweewwe. What is prob of picking 3 w?
5/28
Calculate prob of picking 4 q when four letters picked without replacement from {v: 3, q: 9}.
14/55
What is prob of picking 1 a and 1 p when two letters picked without replacement from uuppuaku?
1/14
Three letters picked without replacement from {d: 2, w: 2, l: 3, n: 5, t: 8}. Give prob of picking 2 w and 1 l.
1/380
Two letters picked without replacement from {e: 2, x: 2, u: 2, c: 1, a: 2, n: 3}. Give prob of picking 1 n and 1 e.
1/11
Calculate prob of picking 1 u and 2 d when three letters picked without replacement from {u: 6, k: 1, y: 7, d: 4}.
3/68
What is prob of picking 2 b when two letters picked without replacement from hbbybbbhyyvhbbvbqhh?
28/171
Three letters picked without replacement from {i: 3, q: 1, c: 1, a: 1, z: 1}. What is prob of picking 1 q and 2 i?
3/35
Calculate prob of picking 2 m and 1 s when three letters picked without replacement from mmmimismmsismssmsim.
72/323
Four letters picked without replacement from swcvvvyvvwysc. Give prob of picking 1 y, 1 w, and 2 c.
4/715
Calculate prob of picking 1 l and 1 j when two letters picked without replacement from {j: 4, l: 7}.
28/55
Calculate prob of picking 3 q and 1 a when four letters picked without replacement from {q: 4, a: 3}.
12/35
Three letters picked without replacement from jppxpjjprj. Give prob of picking 2 j and 1 r.
1/20
What is prob of picking 3 w when three letters picked without replacement from wwww?
1
Two letters picked without replacement from bbbbbbbbbb. Give prob of picking 2 b.
|
{
"pile_set_name": "DM Mathematics"
}
|
j. Let f be y(m). Solve 5*i = f - 7 for i.
-1
Let p(l) = -l**2 + 2*l + 24. Let o be p(-4). Suppose 3*j = -h + 18 - o, j - 5 = 0. Solve h*q + q = 0 for q.
0
Suppose -5*o - 3*k = -8, -o = 4*o - 5*k. Suppose -25 = -8*j + 7. Suppose 2*q = -j*w + 10, -5 - 20 = -4*w + q. Solve -o = -w*f + 9 for f.
2
Let q(d) = 69 - 4*d - 16 - 1 + 18. Let o be q(-8). Let v = -87 + o. Solve m = 4*m + v for m.
-5
Let a be (0 - (-210)/4)*(66 + (-2156)/33). Solve -70*h = -a*h + 140 for h.
-4
Suppose -74 = -281*u + 282*u. Let r = u + 78. Solve -r*i = 4*i + 8 for i.
-1
Let o be 26 + -20 + (-6)/(-2) + -9. Let u be (0 - 0/(-4))/1. Solve o = -5*v - u*v for v.
0
Let i be (48/(-26))/(-12) + 72/39. Solve 4*m = i*m + 3*m for m.
0
Suppose -2*h - 1201 = 1571. Let a be (18/5)/6 + h/(-15). Let m = a - 86. Solve -3 + m = p for p.
4
Let s be ((-64)/(-5))/(104/15 + -7). Let o = 197 + s. Solve 10 + 0 = -o*h for h.
-2
Suppose -13*q + 2333 = -1216. Let f = q - 272. Solve 0 = -2*y + 3*y - f for y.
1
Suppose -23*h = -30*h + 91. Suppose -h*c = -24*c. Solve 3*l - 6*l = c for l.
0
Suppose 7*n = -n + 232. Let f = n + -23. Solve 2*m - 2 + f = 0 for m.
-2
Let u be 18/6*(-102)/(-9). Let j = 10410 - 10401. Solve -j = -5*y - u for y.
-5
Suppose 100 = 10*s - 210. Let k(b) = -s + 4*b + b**2 + 0*b + 0*b**2 + 0*b**2. Let i be k(-9). Solve i*l - 10*l = -12 for l.
-3
Let u(v) = 3*v + 6. Let y be u(-1). Let d(c) = 32 - 4*c**2 - 34 - 4*c**3 + 0*c**2 + 2*c**y - 3*c. Let h be d(-2). Solve -h*a + a = 3 for a.
-1
Let t be 4/2 + (-1 - -22). Let r be (10/(-30))/(1/(-84)). Let c = r - t. Solve s - 2*s + c = 0 for s.
5
Let d be (-4*(-2)/24)/((-2)/(-24)). Suppose 0 = 4*j + j. Suppose -d = -3*f + 5*o - j, -f = -2*o - 1. Solve 0 = -f*v + 7*v - 4 for v.
1
Let m be (-612)/(-136)*130/3. Solve -202*z + m*z + 21 = 0 for z.
3
Suppose -590 = -3*z - 3*z + 130. Solve -50*n = -420 + z for n.
6
Let y(l) = -l**3 + 13*l**2 - 10*l + 30. Let k(d) = 2*d**2 - 40*d + 12. Let t be k(20). Let i be y(t). Let o = 59 - i. Solve f = 6*f + o for f.
-1
Let q(b) be the first derivative of -b**5/120 + 11*b**4/24 + 2*b**3 - 3. Let f(n) be the third derivative of q(n). Let u be f(8). Solve u*v + 2 = -10 for v.
-4
Suppose 3*d = -370 - 1577. Let g = d + 656. Solve 0 = -g*j - 33 - 2 for j.
-5
Let f(v) = v + 3*v - 19 - 6*v. Let p be f(-11). Suppose -4*m + 1 = -p, -3*z = -3*m - 3. Solve 0 = -2*c + 6 + z for c.
4
Let r(z) = 31*z + 4. Let p be r(-9). Let b = p - -283. Solve -2*j + b*j + 24 = 0 for j.
-4
Let c be (-2)/9*(-7 - 2)*1. Suppose -c*l = 3*d + 8, -2*l + 2*d = l - 14. Solve -l*r = -4*r + 10 for r.
5
Let w be (17 + 3)*(14/(-12))/((-26)/78). Solve 24*y - 74 - w = 0 for y.
6
Let v(n) = n**3 + 14*n**2 + 21*n - 17. Let q be v(-12). Suppose -5*g - 5 = 0, -q*g = 4*j - 23*g - 52. Solve 2*z = j*z - 5*z for z.
0
Suppose 2*n = -10, 85 = -17*t + 14*t - 5*n. Let q be (-999)/(-45) + (-16)/t. Solve q*o - 6 = 21*o for o.
3
Suppose -8 - 4 = -3*u. Suppose 3*o + 4*k = 6, 5*o + 5 - 23 = -u*k. Suppose -o*y + 39 = 3. Solve y*x = 3*x - 12 for x.
-4
Let d(t) = -6*t**2 - 20*t - 144. Let p(z) = z**2 + 2*z - 4*z + 29 + 6*z. Let j(q) = -2*d(q) - 11*p(q). Let w be j(8). Solve 0*f + f = -w for f.
-1
Suppose -4 = s, -s - 3*s - 36 = 4*j. Let v be 2 + 4 - (-30)/j. Solve -1 = -c - v for c.
1
Let u(y) be the third derivative of -3*y**4/4 - 106*y**3/3 - 61*y**2 + 3*y. Let f be u(-12). Solve -f = -25*a + 24*a for a.
4
Let g(z) = z**2 + 13*z - 3. Let n be g(-14). Suppose -6*i + 5*f + n = -2*i, 4 = 4*f. Suppose 0 = -4*v + u + i*u + 1, 1 = v - u. Solve -v*r = 17 + 3 for r.
-5
Let u be (-546)/(-24) - (-1 - 9/(-12)). Suppose 5 = b, -3*f + u + 11 = 5*b. Suppose -14*g + 15*g - 2 = 0. Solve -f*w + g = -4*w for w.
-2
Let k be 1 + 2*3/3. Let v(u) = u**3 + u**2 - 15*u + 8. Let n be v(-4). Suppose 0 = j + 2*x - 0*x - 12, -x + n = 4*j. Solve 1 = k*f - j*f for f.
-1
Let w = -129 + 136. Let z be 10/75 + ((-182)/(-30))/w. Solve 2*k = -z + 3 for k.
1
Let d(l) = -l**3 - 6*l**2 + 8*l - 8. Let b be d(-7). Let z(m) = -2*m - 5*m - 11*m - 10 + 0*m - m**2 + m. Let p be z(b). Solve 3*n + p = -n for n.
-5
Let m(l) be the second derivative of 13*l**3/6 - 189*l**2/2 - l - 28. Let o be m(16). Solve 6*h = -5 - o for h.
-4
Let s be ((-6)/(-15))/(((-162)/(-1035))/9). Solve 18*p + 13 = -s for p.
-2
Let t(h) = -h**3 + 7*h**2 - 6*h + 5. Let x be t(6). Suppose -4*g + 4*r - 1 = 7, -x*g + 2 = -2*r. Let w = -221111 - -221123. Solve g*c = -c - w for c.
-4
Suppose 5*u = 5*v - 1020, 3*u - 1024 = -5*v + 6*u. Let w = -206 + v. Solve w = n - 2 - 1 for n.
3
Let h be (-182)/(-156)*(0 + 3)*2. Let x(j) = -j**3 + j**2. Let y be x(1). Solve y = d + h - 6 for d.
-1
Let h be 6/126*-6 + (-46)/(-14). Suppose -h*m = -177 + 156. Solve 3*p + 2 = -m for p.
-3
Let g be (76/2)/2*314/314. Solve -g*d + 34*d - 75 = 0 for d.
5
Let y(g) = 264*g + 1856. Let m be y(-7). Solve -3 = m*j - 43 for j.
5
Let q = -15 + 35. Let l be ((-54)/(-30))/(4/q). Suppose 5 = 4*p - 27. Solve -5*s = -l*s - p for s.
-2
Let c be 1088/14 + ((-366)/42 - -9). Suppose 0 = -c*y + 87*y - 135. Solve -9*n = -6*n + y for n.
-5
Let q(n) = -2*n**2 - 6*n + 85. Let i be q(-6). Solve -i - 11 = -30*y for y.
2
Let q = -286 - -296. Let j be 10 - (2/(-4))/((-1)/q). Solve 5 = -j*k - 0 for k.
-1
Let o = -15936 - -15978. Solve -24*n = -18*n - o for n.
7
Let n = 25 - 19. Suppose n*t - t - 7 = 3*x, -2*t + 3 = -x. Let h(k) = -k**3 - 3*k**2 + 16*k - 3. Let q be h(-6). Solve x = 2*w - q for w.
5
Let l be (-6)/(-2)*(-75)/50*32/(-6). Solve -21*d = -13*d - l for d.
3
Let z(t) = t**3 + 4*t**2 - 6*t - 1. Suppose -30 + 6 = -12*r. Let q be z(r). Solve 3*n + 8 = q*n for n.
1
Let b be 5*162/540*(-4)/(-6). Solve b + 135 = 17*f for f.
8
Suppose 23 = -2408*n + 2409*n. Suppose -4*h + 7*h = -2*y - 11, 25 = -5*h. Suppose -y = u - 7. Solve -u*k - 3 + n = 0 for k.
4
Suppose r + 675 = 3*d - 299, -3*r - 5*d = 2866. Let g = -949 - r. Solve 20*p - g*p = 0 for p.
0
Let w = -43 - -46. Suppose -6 = -w*j + j. Suppose -17 = -j*v + o, -4*o = -2*v + v - 9. Solve v*r - 10 = 2*r for r.
2
Suppose -6*b = 2*j - b - 6, -j + 3 = 5*b. Let y be 2/(-3) - 204/(-36). Suppose 0 = 2*t - 5*x + 8 + 3, 0 = -y*t - 4*x + 22. Solve -t*h - j*h + 15 = 0 for h.
3
Let d(w) = -2*w**2 - 8*w + 4. Let h be d(-4). Let m(y) = y - 8. Let a be m(9). Let n be 2 - a - (5 - h). Solve n = 4*p - 20 + 8 for p.
3
Suppose 47*w - 1406 = 662. Solve -w*s + 54*s = 10 for s.
1
Suppose -3*s + 466 = -s. Let v = 237 - s. Let h = 6 - 4. Solve h*x + v = -4 for x.
-4
Suppose -m - 1 = -n, -n = 5*m - 3 + 8. Let t be (-4)/(5 - 13)*n/1. Solve -2*l - l + 15 = t for l.
5
Let z be 368/276*(6 + 15). Let j(r) = r - 1. Let l be j(1). Solve l = 3*y + z - 43 for y.
5
Let r(a) = -2*a**3 - 64*a**2 - 118*a + 85. Let p be r(-30). Solve -23*o + p*o + 12 = 0 for o.
-6
Suppose -3*z - 105 = -24*z. Let i be (-2)/((-5)/((-135)/(-6))). Solve 11 = -z*x - i for x.
-4
Suppose 5*q = 14*q - 135. Suppose -9*x = q*x - 192. Suppose 4*r - 2 = h + 9, 0 = -2*r + 8. Solve x = j - h*j for j.
-2
Let i = -280 - -292. Suppose 0 = i*a - 3*a. Solve 6 = 2*m - a for m.
3
Let k be 50/15 + (-180)/54. Solve k = 143*m - 135*m for m.
0
Let h(i) = -i**3 - 69*i**2 - 317*i + 194. Let k be h(-64). Let a(u) = -3*u - u**2 + 1 + 3*u. Let t be a(1). Solve -k*f + 8 = -t*f for f.
4
Let n(v) = v**2 - 8*v - 13. Let i(l) = 3*l**2 - 24*l - 38. Let j(k) = -6*i(k) + 17*n(k). Let x be j(8). Suppose x*a - 12 = a. Solve a - 6 = f for f.
-4
Let f(x) = 2*x**3 - 55*x**2 - 23*x - 136. Let h be f(28). Solve -h*y - 46 = -34 for y.
-3
Suppose -994 = -65*p + 8*p - 14*p. Solve -p*c = -15*c - 5 for c.
-5
Let f(d) = d**2 + 21*d - 345. Let h be f(11). Solve 2*x + h = 13 for x.
3
Suppose 140*q = 146*q - 18. Suppose -23 = -h - 4*t, -q*h = t - 16 + 2. Solve 0 = 3*k - 4*k + h for k.
3
Let w = 106 - 24. Suppose x + w = 4*v + 3*x, 0 = -v + 5*x - 7. Solve -4 + v = -7*t for t.
-2
Suppose -6 = -5*j + 2*x, 0*x + 2*x = -3*j - 6. Let y = -115 - -119. Suppose -n = 2*t - j - y, n - 10 = -4*t. Solve 8*u = t*u for u.
0
Let f(b) = 5*b**3 - 91*b**2 + 20*b. Let u be f(18). Solve -o = -7*o - u for o.
-6
Let c be 2/(-6)*3 - -25. Let l = 28 - c. Suppose -5*s = -2*g - 0*g - 35, -5*s - l*g + 5 = 0. Solve -s*d - 4 = 1 for d.
-1
Let v(b) = b**3 + 18*b**2 + 23*b - 103. Let g be v(-16). Solve -26*y - g - 63 = 0 for y.
-4
Let t be (-42)/315 - (-50952)/90. Solve -2*b = -574 + t
|
{
"pile_set_name": "DM Mathematics"
}
|
18 = -3*i - j, -2*i - 2*j = y for i.
-4
Let t be (0*4/(-16))/(-1). Suppose t*u + 2*u = 0. Solve -2*x - 1 = 2*a + 3, -x + 4*a - 17 = u for x.
-5
Let j = 5 + -4. Let k be j/(-2) + (-34)/(-4). Suppose -k = v - 3*v. Solve -35 = 3*x - 5*b, -x - 6 = -3*x - v*b for x.
-5
Suppose -3*a = 0, 0 = -2*j + 5*a + 9 + 17. Let r be (6 - 7)/((-1)/j). Solve -4*i = -4*f - 12, 0*i + r = 3*i + f for i.
4
Let a be -2*2/(12/39). Let j = -8 - a. Solve -v - 2*t = -j*v + 24, -16 = 4*t for v.
4
Let a = -3 - -24. Let x be -2 + 2 + 0 + 1. Suppose 5*g = x + 19. Solve n = -g*l - a, 8*l - 4*n = 3*l for l.
-4
Suppose 7*m = 2*m + 10. Let l = 10 - m. Solve 3*h + 2*a - 11 = 0, -5*h - a = l - 24 for h.
3
Let h(s) = -s**3 - 5*s**2 - 3*s + 5. Let v(f) = -2*f**2 - f + 2. Let o(y) = 2*h(y) - 5*v(y). Let x be o(-1). Solve -3*j - u = 1, 3*j + 8 = -x*u - 1 for j.
1
Suppose -2*n - 3*w + 2 = 0, -22 = -3*n + 5*w - 0*w. Solve -3*m = 3*h - 5*m + 8, 4*m - 16 = n*h for h.
0
Suppose 16*n + 16 = 20*n. Solve 4*z - 10 = -b - b, 10 = 2*b - n*z for b.
5
Let k be 4/(-1)*((-25)/(-20) + -2). Solve k*u + 31 = 5*c, -2*c - u = c - 13 for c.
5
Let w(o) = 2*o + 10. Let r be w(-8). Let u = 6 + r. Solve 4*i + 3 = -2*k + 1, u = 4*i - 8 for k.
-5
Let v(f) = f - 3*f + 7 + 10*f**2 + 14*f - 2*f**3 + f**3. Let m be v(11). Solve -w - m = 4*l, 3*l + 11 + 3 = -w for w.
-2
Suppose 7*h = 14 - 7. Solve -5*g = -3*m - 5 - h, 18 = 3*m + 3*g for m.
3
Suppose -5*y - 3*o = 27, 5 + 0 = y - 2*o. Let g = 4 + y. Let v be (33 - -1) + (2 - g). Solve 0 = 4*x - 2*f + 5*f - 7, -v = -5*x + 5*f for x.
4
Suppose 0 = -5*d + 14 + 36. Suppose 2*v + 2 = d. Solve 0 = 2*k - 5*s - 6 - 1, 0 = 3*k - v*s for k.
-4
Let k(a) = a**3 + 3*a**2 - 2*a + 5. Let t be k(-4). Let h(b) = -3*b - 3. Let v be h(t). Solve 13 = -5*l + 3, 0 = 4*s + l - v for s.
2
Let g be (-3)/(1 + -4) - -2. Suppose -7 = -g*i + 5. Solve 8 - 20 = 3*o + 3*t, -3*o = i*t + 15 for o.
-1
Let r(z) = -4*z - 48. Let o be r(-13). Solve -4 = -2*c + w, c - o*w = -3 - 2 for c.
3
Let b be -12 + 17 - (-12)/3. Let l = -20 + 33. Let s = -8 + l. Solve s*p - b = -3*m, -12 = -5*m + 2*p + 3 for m.
3
Let u be (-3 - 0)/((-5)/(-10) + -2). Solve m - 4*m - u*a + 7 = 0, 2*a - 3 = m for m.
1
Suppose 0*w - 3*w + 4*y = 27, -4*y = 0. Let r = 14 + w. Let u(x) = 13*x**2 - x. Let c be u(-1). Solve -3*i - i + c = -2*j, -r*j + 21 = 4*i for i.
4
Suppose -2*m = m - 75. Suppose 5*n - m = -0*n. Solve -f = -t + 6*t, -4*f + n*t = 25 for f.
-5
Let k be 36/((198/(-12))/(-11)). Solve 8*g = 3*g + 4*h + k, g = -4*h for g.
4
Let w = -7 + 1. Let p be -2*(-1)/(-4)*w. Suppose 3*z - 2*s + 4*s = 11, 2*s - 21 = -5*z. Solve -z = 5*y, p*f = -5*y + 2*y + 9 for f.
4
Let q be (-2)/3 + (-32)/6. Let v = q + 6. Let g be 3 + -1*(-1)/(-1). Solve -i + 5*k = -v*i - 4, -2*k = -g*i for i.
-1
Let w(u) = -u**2 - 3*u. Let g be w(-3). Suppose -4*i = -g*i - 36. Solve -6*h = -h - 5, v + 5*h - i = 0 for v.
4
Let s be (-6)/(-12) - 18/(-4). Solve -z = x + 6, 0 = z + s*x + 11 + 11 for z.
-2
Suppose -16*l + 17*l = 0. Solve 4*w - 2*w = l, -3*o = -3*w + 6 for o.
-2
Let x be (-34)/(-12) + (-6)/(-36). Solve -f + 9 = -x*d, 15 = -3*f + 6*f - 3*d for f.
3
Suppose 7*k - 2*k = 0. Suppose 4*y - 4 = 3*y. Suppose -2*t - o = -7, -o + y*o = 4*t + 1. Solve 6*l + 4*j + 12 = t*l, -3*l + 4*j - 9 = k for l.
-3
Let a be 6/3*3/(-2). Let m be (a/(-6))/(3/(-6)). Let y be 0 - (0 + 2*m). Solve -5*j + 3*k - 7*k = 11, -k = y*j + 5 for j.
-3
Let l(c) = 2*c - 9. Let m be l(8). Let v(n) = -n + 9. Let a be v(m). Solve -5*t + 17 - 2 = 0, a*i = -t + 13 for i.
5
Let w(o) = -4*o - 38. Let g be w(-11). Solve -x + 3*j - 5 = g, 3*x = -2*j for x.
-2
Let s be (-2 - -1)*0/2. Solve -5*n + 0*n - 3*y + 6 = s, -3*y = 4*n - 3 for n.
3
Let o = 29 - 19. Let k = o - 8. Solve -3*d - 3*j + 7 = d, 4*d + 2*j = k for d.
-2
Let q = 70 - 68. Let s be (0 + -1)*1*-2. Solve 2*m = -x + 5, m - q*x = -s*m + 4 for m.
2
Let c(l) = -l**2 - 4*l. Let o be c(-3). Solve 0 = 2*u - j - o*j - 6, -4*u + 9 = -5*j for u.
1
Suppose 0 = -w + 2*t + 12, -5 - 7 = 3*t. Solve 0*v - 4*v = 4*x + 16, 0 = 2*v + x + w for v.
0
Let t(l) = l**3 - 4*l**2 + l - 1. Let a be t(4). Suppose -2*o + 1 = 2*i - 5*i, 5*o - 34 = -3*i. Solve -i*u + u - 20 = -2*d, 3*d + a*u = 0 for d.
5
Let t be (1/(-3))/(6/(-108)). Let s be ((-8)/t)/(2/(-3)). Solve -2*y = -5*g - 3*y + 13, 0 = 4*g + s*y - 14 for g.
2
Suppose -6*n + n = 2*w - 75, 46 = 2*n + 4*w. Suppose -16 = 4*i, 0 = 5*r + 4*i - 130 - 29. Solve -2*u - 2*u = -5*v - n, -5*u = 4*v + r for v.
-5
Let n(v) = -v**2 + 2*v - 1. Let t be 2/3*-3 + 3. Let g be n(t). Solve -22 = 2*m - 6*f + 2*f, 5*m + f + 22 = g for m.
-5
Let z be (-5)/(1 + -3 + 1). Solve -z*v + 5 = -5*o, -3*o - 2*o - 3*v - 13 = 0 for o.
-2
Let l be (-296)/24 - 2/3. Let p = l - -16. Solve 3*u - 5*u - 12 = -2*h, -p*u = -h + 14 for u.
-4
Suppose 0 = p - 5 + 2. Suppose 5*n - 13 + p = 0. Solve 4*z + 8 = -2*l, 4*z - 2*z + 6 = -n*l for z.
-1
Let k(i) = -3*i + 2*i + 2*i + 4*i**3. Let t be k(1). Solve 3*n - 5*w = t*n - 2, n + 5*w = 6 for n.
-4
Suppose a - 1 = 2*f, -4*a + 4*f - 3 - 1 = 0. Let p be 3 + 4 + (a - 0). Solve 4*o - 5*i = 15, p*i = 3*o - 5*o + 14 for o.
5
Let z be 4*(-1 + (-3)/(-6)). Suppose -3*p = 2*p + 25. Let c = z - p. Solve -c*r + 2*m + 11 = 0, 0*r - 5*m = 4*r - 7 for r.
3
Suppose -2*o + 5 = 1. Let k be 0/(-4)*o/2. Solve k = 2*t + 3*s + 4, 2*t + 12 + 2 = 2*s for t.
-5
Suppose g = -2 - 2. Let m = g + 12. Suppose 0*k + 2*k - m = 0. Solve z + 3*z + 1 = 3*d, k*z + 4*d = 20 for z.
2
Let q be 15*2/6*(1 - 0). Suppose 3*w + 24 + 4 = m, 4*m = -4*w + 96. Solve -5*n + m = q*x, 0*x = -n - 4*x + 20 for n.
0
Suppose v - 27 = 3*k, 5*k = 2*v - 21 - 24. Let x be (5/(-3))/(3/k). Solve -j - 32 = x*s - 6, 3*s = 2*j - 13 for j.
-1
Suppose 24 = 3*w + w. Let y be (-6)/6 + 0/(-1). Let v = w + y. Solve 6*o = -3*x + 2*o - 20, v*x = -5*o - 30 for x.
-4
Let s(m) = -4*m**2 - 8 - 9*m + 4*m**2 - m**2 + 2*m**2. Let a be s(10). Solve 0 = 5*i - 3*r + 24 - a, 16 = -4*i + 2*r for i.
-2
Let g be (12/15)/((-2)/10). Let f = 15 - g. Solve 3*l - 7*l - 18 = z, -5*l - f = 3*z for z.
2
Suppose -3 - 29 = 4*k. Let w(l) = -l - 3. Let x be w(k). Suppose o - 90 = -4*o + x*m, 4*o - 74 = 5*m. Solve 11 = -3*n + 5*j, 0*j = 4*j - o for n.
3
Let d(m) = m**2 + 2*m - 31. Let a be d(-7). Solve 3*w + 25 = -0*w - a*r, 20 = -4*w - 2*r for w.
-3
Suppose 0 = -2*v + 4 - 0, 2 = 2*y - 3*v. Let c be (y - 2 - 0) + 8. Solve -f - 3*r - c = -2, -4 = 2*f + 2*r for f.
1
Let k be (-11)/(-4) + (-2)/(-8). Suppose k*p - 17 = -2. Suppose u = -0*u + f + 11, p*u - f - 59 = 0. Solve -u = 4*x, -2*i - 4*x - 6 = 2 for i.
2
Let p(g) = -g**2 + 17*g - 10. Let v be p(16). Let d = -1 - -6. Solve 2*w - 2 = w + 2*x, v = 2*w - d*x for w.
-2
Let a be (-4 - (1 + -10)) + 0. Suppose -6*q + 4*q + 5*i = -35, -a = 2*q + 3*i. Solve -4*b + 3*v = -0*v, -2*v = -b + q for b.
-3
Suppose 4*r - 48 = 6*r. Let t be 25/4 - (-6)/r. Suppose 3*j = -a + t, -a = a. Solve j*q + 2 + 2 = -2*o, 0 = 3*o - q + 18 for o.
-5
Let b be (-34)/(-6) - (-2)/6. Let m = -1 + 1. Solve 2*k - b*k - 3*r - 14 = m, -k - 4*r - 10 = 0 for k.
-2
Suppose 0 = 4*d - 0 + 8, w + 2*d = -1. Solve w*j - 5 = 5*z, 6*j = 5*z + 2*j for z.
-4
Suppose 5*d - 20 = 0, -36 = -3*b + d - 4*d. Suppose -3 - b = -c. Solve t - 6*t = 3*s + 34, 2*s = -t - c for s.
-3
Suppose -15 = -5*k, -q + 3*k - 13 = -3*q. Solve 2*v + 9*z - 8 = 4*z, -q*z + 16 = 4*v for v.
4
Suppose 0 = 4*k - 12 + 4. Solve -2*s + 3*x = 2 + k, -11 = 3*s - 2*x for s.
-5
Let f(w) = -w**3 + 6*w**2 + w - 3. Let u be f(6). Solve -3*i - 6 = -4*l, 0*l + 12 = u*i + 2*l for i.
2
Let v(a) = -4*a**2 + 10*a - 12. Let m(x) = -7*x**2 + 20*x - 24. Let g(o) = -3*m(o) + 5*v(o). Let i be g(9). Solve -y = 2*k - 6*k - 8, i*k + 4*y + 6 = 0 for k.
-2
Suppose i - 7 = -3. Suppose 5*d - 13 + 3 = 0. Suppose 0 = 12*y - 16*y + 16. Solve -b = y*b - 4*u + d, -i*u = -b + 6 for b.
-2
Let m be (-2)/13 - (-1015)/91. Solve 0 = s - 0*w + 3*w + m, 2*s + w = -2 for s.
1
Let a be (-19)/(-7) + 2/7. Let r(c) = c**3 - 3*c**2 + 3. Let j be r(a). Solve -j*s - 13 = 2*w, -4*w + 4 = -6*w for s.
-3
Let n be ((-3)/1 - -3)/2. Solve 2*y + 4*d + 10 = n, 4*d - 3*d - 11 = 4*y for y.
-3
Let d be (-2)/7 - 2/(-7). Suppose d = -2*h + 7*h. Solve 4*n - 2 = -2*q, h*n + 14 = 3*q - 5*n for q.
3
Let a(r) = r**2 - 3*r + 5. Let d be a(4). Let k be (-2)/(-6)*(-36)/(-4). Solve -3*o = -k*h - 4*o + d, 2*o - 8 =
|
{
"pile_set_name": "DM Mathematics"
}
|
2*s**4 - 6775*s**3 + 6765*s**3 + 4*s - 3*s to the form q*s**2 + c*s**3 + i + w*s + x*s**4 and give x.
-2
Express 785*p**3 - 266*p**3 + 14*p**2 + 7*p - 259*p**3 + 34*p**4 - 258*p**3 in the form m + n*p**3 + b*p + u*p**4 + t*p**2 and give u.
34
Rearrange (-4 + 0 + 3 + (-3 + 0 + 1)*(-2 + 3 + 0))*(2*d - 3 + 3) + 331*d - 6322*d - 3791*d to the form c + h*d and give h.
-9788
Rearrange 1337*b - 8781*b - 1 - 699*b + 1 to s + u*b and give u.
-8143
Rearrange 1032 - 49*x**2 - 498 - 502 to the form o + q*x + h*x**2 and give h.
-49
Express 1 - 10498*q**3 + 11047*q**3 + 10374*q**3 as y*q**3 + w*q + d*q**2 + s and give y.
10923
Rearrange (6031 + 921 + 553 + 2744 + 405 + 667)*(-h + h + 4*h**2) to the form v*h**2 + s*h + t and give s.
0
Express (43864 - 43864 + 1618*f)*(19*f + 0*f - 7*f) in the form o + v*f + p*f**2 and give v.
0
Rearrange -65 + 863*o - 5879*o + 103 - 38 to the form c + r*o and give r.
-5016
Rearrange (-732 - 748 + 1478 + 78*g)*(3*g - 3*g - g) to k*g**2 + j + y*g and give j.
0
Express (-5919083 + 200*p + 5919095 - 18*p)*(3*p**2 - p**2 + 0*p**2) in the form y*p**2 + r*p + b + m*p**3 and give y.
24
Express -1117*w**2 + 35 + 10445*w**2 - 34 as m*w + q + c*w**2 and give q.
1
Rearrange (0*c - 4*c - c)*(-144*c + 149*c - 12*c**2 + 7 - 29*c)*(0*c - 2*c + 4*c) to a*c**4 + v*c**2 + t + h*c + j*c**3 and give v.
-70
Express (-2*v - 16 + 16)*(52 - 30 + 13)*(-15 + 28 - 12) as d*v + t and give d.
-70
Rearrange 1 + 361*u**3 - 650*u**3 + 291*u**3 - u - 332*u**2 + 2*u**4 to the form s + m*u**2 + v*u**4 + g*u**3 + x*u and give m.
-332
Rearrange 5*m**3 - 12 - m**3 - 2*m**3 - 11243*m + 11241*m to h*m**3 + f*m**2 + d + a*m and give d.
-12
Express 125 - 76*i**3 + 2*i**2 - 114 + 17305*i - 17306*i as s*i + r*i**2 + f*i**3 + a and give r.
2
Express -77*m**3 + m**2 + 90*m**3 - 18*m - 3*m**3 as y*m**2 + t*m**3 + u + a*m and give t.
10
Rearrange ((1 - 5 + 6)*(i + i - 4*i) + (-i + 2*i + 0*i)*(-54 + 29 - 58) - i + 0*i - 8*i)*(3 - 3 - 1) to the form c + n*i and give n.
96
Rearrange 4*g**2 - 3*g - 13 - 1129*g**4 - 5*g**2 + 1144*g**4 + 2*g to t*g**4 + b*g + s*g**3 + p + y*g**2 and give t.
15
Rearrange 4 + o - 919472*o**4 + 919470*o**4 + 2*o**3 + 653*o**2 - 4 to m*o + k + s*o**2 + u*o**3 + r*o**4 and give u.
2
Express -13 + 4 - 2*v**3 - 13 + 19 - 265*v as k*v**3 + h*v + m + y*v**2 and give h.
-265
Rearrange -602*k**2 + 39*k - 603*k**2 + 0*k**3 + 1202*k**2 + 102*k + k**3 to s*k**3 + p + x*k**2 + o*k and give x.
-3
Express -5 - 17849*g + 5 + 13693*g in the form b*g + f and give b.
-4156
Rearrange (6*h**4 - 3*h**4 + 0*h**4)*(47 - 7 + 5) + (0*h + 2*h + h)*(5*h**3 + 0*h**3 - 2*h**3) to d*h**4 + o + f*h**3 + n*h**2 + g*h and give d.
144
Rearrange 113*d - 2*d**3 + 4*d**2 - 7*d**2 - 112*d + 12*d**3 to the form q*d**3 + z*d + r*d**2 + k and give q.
10
Rearrange u**2 + 12*u**4 - 83 + 84 - 2*u**4 - u + 3*u - 11*u**3 to the form d + w*u + h*u**2 + s*u**3 + q*u**4 and give q.
10
Rearrange -z**2 + 18*z**2 + 32*z**2 + (53 - 12 - 8)*(z - z - z**2) to the form u + o*z + y*z**2 and give y.
16
Rearrange 20*j**2 - j**4 - 19*j**2 + 2*j - 1 - 230*j**3 + 2*j**4 - 6*j - 432*j**3 to y*j**2 + z*j**4 + i*j + w + a*j**3 and give a.
-662
Rearrange -24811*l + 43035*l - 21748*l to q + g*l and give g.
-3524
Express (2*h - 4*h + 6*h)*(2 - 1 + 1) + (-4 + 0 + 3)*(5887 + 204*h - 5887) + h + 1 - 1 + (2 + 2 - 5)*(1 - 2*h - 1) as m + u*h and give u.
-193
Express 3 - 2 + 408*a**2 - 453*a**2 - 813*a**2 + 1 in the form p + b*a + v*a**2 and give v.
-858
Express (5*z - 4*z + z)*(-51940667*z + 51940667*z + 20106*z**2) in the form p*z + c*z**2 + l*z**3 + k and give l.
40212
Express 703*k**4 + 2 + 703*k**4 - 1412*k**4 - k**3 - 3*k**2 - 11*k in the form g*k**3 + w + a*k**4 + u*k + m*k**2 and give a.
-6
Express 1378*n + 198*n**2 + 42*n**2 - 1378*n in the form k*n**2 + m*n + j and give k.
240
Rearrange -277*i**2 + 270*i**2 + 42*i**4 - 3*i**3 + 1 + 0*i**4 + 43*i**4 - 14*i**4 to the form b + n*i + l*i**2 + d*i**4 + w*i**3 and give d.
71
Express 1577*d + 313*d + 19242 - 19242 in the form l + f*d and give f.
1890
Rearrange -8626 + i**3 - 6081*i**2 + i**3 + 3039*i**2 + 3042*i**2 to the form z*i**2 + s*i + o + g*i**3 and give g.
2
Rearrange -459 + 297*v - 288 - 295*v to the form m*v + r and give r.
-747
Rearrange (0 + 2 + 0)*(2*s + 2*s - 2*s) + 1631 - 3259 - 4885*s - 6903*s + 1628 - 343*s to f + x*s and give x.
-12127
Express t**4 + 3*t + 8*t**2 + 99*t**3 + 66*t**3 - 151*t**3 + 3 as l*t**4 + y*t + x + k*t**3 + m*t**2 and give k.
14
Express 2*k - k - 2*k + (-2297 - 2251 + 587)*(-k + 2*k - 3*k) in the form x + z*k and give z.
7921
Rearrange -32370*j + 10793*j + 2*j**3 + 10791*j + 10785*j + 6941 to l*j**3 + t*j**2 + f + x*j and give l.
2
Express 364 + 2845*m**2 - 1434*m**2 - 1413*m**2 in the form w + t*m**2 + s*m and give t.
-2
Rearrange -9 + 10*b + 1091*b**3 - 549*b**3 - 546*b**3 to c*b**3 + i*b**2 + r*b + v and give r.
10
Rearrange h - 348 + 345 + 82 to the form d + g*h and give g.
1
Rearrange (18732*k + 41 + 32 - 125 + 22 + 30)*(0*k**3 + 2*k**3 - k**3) to the form n + h*k**3 + d*k**4 + x*k + w*k**2 and give n.
0
Rearrange (1 + 3*t - 1)*(-540 - 395 - 763) to i*t + y and give i.
-5094
Rearrange -305*w + 309*w + 666*w + (6*w - 4*w + 2*w)*(4 - 4 + 2) to the form i*w + f and give i.
678
Rearrange 272*h + 121*h + 124*h - 707*h + 3*h**2 to the form i + d*h**2 + k*h and give d.
3
Express -16671*f + 6171*f + 32645*f - f - 3*f + 2*f + (-2 + 1 + 3)*(-f - 3*f + 2*f) - 3 + 3 + 2*f in the form p + o*f and give o.
22141
Express -5*r**4 + 1 + 10*r**4 - 4*r + 19*r + 16*r + 4*r**4 - r**2 in the form m*r**3 + l + f*r**2 + j*r**4 + t*r and give l.
1
Express (-8*l**2 + 5*l**2 - 2*l**2)*((-4 - 3 + 6)*(-l + 5*l - 3*l) + 3*l - 2*l - 2*l)*(10*l + l + l) in the form z*l**4 + x*l**3 + u + d*l**2 + b*l and give z.
120
Rearrange (-11*s - 12 + 12)*(-593 + 291 + 280)*(-3*s + 0 + 0) to the form w*s**2 + o*s + d and give w.
-726
Express -283*r**3 + r + 62 - 98 + 21 - 2*r**2 + 12 as o*r**2 + q*r + v + y*r**3 and give v.
-3
Express 209 - 121 - 88 + 444*m as q*m + n and give q.
444
Rearrange 776 + 774 - 13*c - c**3 + 3*c**2 - 1556 + 5*c + c**4 - 5*c to the form r*c**2 + w*c**4 + j*c**3 + z + f*c and give j.
-1
Express -6450*i + 6449*i + 1528 + 6551 in the form g*i + k and give k.
8079
Rearrange (-5*t**2 + 28 - 28)*(5*t + 9*t + 7*t)*(-4 - 4 + 1) to the form d*t**3 + n*t**2 + x*t + u and give d.
735
Rearrange 794*f**3 - f**4 - 3 - 1 - 3*f - 792*f**3 - 5*f - 6*f**2 - f to q*f**3 + k*f**2 + j*f + h*f**4 + l and give j.
-9
Rearrange -1392114 + 1392114 - 1733*v to h*v + w and give h.
-1733
Express 183*m**4 + 332*m**2 + 195*m**4 - m + 189*m**4 - m**3 - 576*m**4 in the form d*m**4 + p + t*m**2 + k*m + b*m**3 and give t.
332
Rearrange -2 - 3 + 3656*a + 5 - 26681*a to m + q*a and give m.
0
Express 71 + 65 + b**2 + 66 - 191 in the form q + i*b + l*b**2 and give l.
1
Express (-3 - 2*b + 3)*(2143 + b + 9*b - 2986 - b) as x*b + i*b**2 + d and give i.
-18
Rearrange (-1 - 2*o + 1)*(0 + 0 - 3) - 3*o + o + o + (-2737 + 5259 - 1830)*(o + 0*o - 3*o) to the form x*o + h and give x.
-1379
Express -101 + 54 + 61 + 3*b + (0*b - 13*b + 6*b)*(-3 + 4 + 0) in the form w*b + k and give k.
14
Rearrange -29*l**4 - 16*l**2 - 11*l**2 + 1 + 42*l**2 + 43*l**3 + 35*l**4 - 12*l**2 to the form d*l**2 + c*l**3 + k*l**4 + a + z*l and give d.
3
Rearrange (4*t**2 + 0*t + 0*t)*(472 - 472 - 88*t)*(t - t - 34*t) to c*t + u*t**2 + p*t**4 + x + d*t**3 and give p.
11968
Rearrange (0*o + o + 4*o)*(67*o**2 - 65*o**2 - 51*o**2 + (-2*o**2 - o + o)*(-1 + 0 + 0)) to the form g*o**2 + q + y*o + p*o**3 and give p.
-235
Express 2916*c**4 - 5*c**3 - 2921*c**4 + 89*c**2 + 6*c**3 as r*c**2 + b + k*c**3 + x*c + t*c**4 and give r.
89
Rearrange 133 + 134 - 385 + 23860*c + 118 to the form h + f*c and give h.
0
Express (-78*w + 78*w - 94*w**2)*(-13 - 14 + 7) as f + h*w**2 + z*w and give h.
1880
Express (1407 - 1407 - 51*u)*(-76*u - 73*u - 12 + 14) as b*u + v + k*u**2 and give b.
-102
Express -3*l + 2*l + 3*l + (3*l + 4 - 4)*(-2271 + 4330 - 2295) + (3*l + l - 3*l)*(6 - 4 + 0) in the form p + y*l and give y.
-704
Express 120996 + 9608*t - 60498 - 60499 in the form o*t + w and give w.
-1
Rearrange (7*v - 3*v - 2*v)*(1 + 0 + 5)*(0*v + 15945 + 2*v - 15409)*(2 - 2 + 2) to the form a*v**2 + b*v + z and give b.
12864
Rearrange (-5*v
|
{
"pile_set_name": "DM Mathematics"
}
|
4/21) assuming t is positive.
t**(1717/126)
Simplify (((q/(q*(q**(-31)*q)/q))/(q**(-2/5)*q))/(q/(q*q*q**23/q*q))**(-25/4))**(2/101) assuming q is positive.
q**(-1196/505)
Simplify (i**0)**48/(i*(i*i**1*i)/i)**(-1/6)*((i*i**1)**29)**(-2/51) assuming i is positive.
i**(-181/102)
Simplify (d**(-6)*d*d**1)**(-21)*((d/(d*d**(-2/9))*d*d)/(d*d/d**2))**32 assuming d is positive.
d**(1396/9)
Simplify ((((k**(-1))**(-8))**13)**10)**(-3/10) assuming k is positive.
k**(-312)
Simplify ((u**6/((u*u**(-17))/u))/(u**(-6))**(-34))**(-18) assuming u is positive.
u**3258
Simplify (c**(-2/7)/c)/c**(4/3)*(c/c**(3/7))**(2/5) assuming c is positive.
c**(-251/105)
Simplify (((o/((o*o**(1/4)*o)/o))/(o*o**(-27/2)/o))/((o**(-1/15)/o*o*o)/(o/(o*o/(o*o**(16/5)*o)))))**(2/19) assuming o is positive.
o**(991/570)
Simplify ((l*l**(-6))**44*l/(l**9/l)*l**(1/6))**(-1/6) assuming l is positive.
l**(1361/36)
Simplify (f/f**(-29))**(-29)*(f*f*((f/(f/(f*f**(-1/45))*f)*f)/f)/f*f)**46 assuming f is positive.
f**(-35056/45)
Simplify ((y**(-1/2)*y/(y**(-3/4)*y))/((y**(-4)/y)/y**6))/(y**(1/3)/y*y/y**(1/14))**(-1/9) assuming y is positive.
y**(8527/756)
Simplify (((n**1)**(1/21)*(n**0)**(-23/3))**(1/45))**(-2/83) assuming n is positive.
n**(-2/78435)
Simplify ((p*(p*p/p**(1/4))/p)**9/(p**0)**(-23))/((p/p**(-2/3))**(-2/49)*(p*(p*p*p**(-4)*p)/p)/(p/p**(-1/4))) assuming p is positive.
p**(2656/147)
Simplify ((f**(1/3)*f*f**0)/(f*f*f**3*f**3))/((f**2/f*f*f**(-7))/(((f*f**7)/f)/(f/(f*f/f**(-2/13))*f))) assuming f is positive.
f**(214/39)
Simplify ((d/((d/(d**(-1/4)/d))/d))/d)**(-2/23)/(d**2*d*d)**39*(d/d**(-9))/(d**3/d)*d*d**(-4)/d*d*d*d/(d**(-2)/d)*d assuming d is positive.
d**(-6665/46)
Simplify j**(-40)*j**(-2/61)*((j*j*j**(-30)/j*j*j)/j)**(2/105) assuming j is positive.
j**(-37118/915)
Simplify (((h*h*h/h**(-2))/h)/(h**(-4)*h))/((h/(h/h**(-7)))/h**8)*(h*h**(-4/9)*h*h**(-4))**(-34) assuming h is positive.
h**(946/9)
Simplify (h**(1/14)/h**(2/41)*h*h**(-21)/h*h*h*h*(h/(h**(-2/17)*h))/h)**(-41) assuming h is positive.
h**(184033/238)
Simplify ((t*t**(-1/5)*t)/t**(-5))**(-12/11)*((t/(t/(t*t**4)*t))/(t**(1/10)*t))/(t**(1/3))**(-2/29) assuming t is positive.
t**(-43019/9570)
Simplify (((k**(-1/7)*k*k**4)**(-28))**(-4/7))**(-40) assuming k is positive.
k**(-21760/7)
Simplify (((c**(-2/9)*c*c)/c)**11)**(-26)*(((c*c/(c/(c*c**(-2/9)*c)*c))/c)**(-43))**(-2/101) assuming c is positive.
c**(-22400/101)
Simplify ((i/(i/(i*i*i/i**(1/4)*i)))/i**(-1/11)*i**6*i*(i/(i/(i/((i**0*i*i)/i*i))))/i*i*i)/(i**(1/6)*i**5)**(-3/11) assuming i is positive.
i**(49/4)
Simplify ((c/((c*c/(c**(-1)/c)*c)/c))**(-19)*(c**(-2/7))**(-1))**(-2/81) assuming c is positive.
c**(-802/567)
Simplify (g**(-2/7)/g)**5*g*g/(g**(-2)/g)*g*g**(2/9)/g*(g**(-2/7)/(g*g*g*g**(-2/15)/g*g))**(1/24) assuming g is positive.
g**(-3371/2520)
Simplify (l**(-8/5)/l*(l*l**(1/8)*l)/l)**(1/42)*((l*l/(l/(l*(l**(1/6)*l)/l)))/((l/((l/l**4)/l))/l))**19 assuming l is positive.
l**(-58579/1680)
Simplify ((o/(o**(-4)/o))**(-50)/(((o*o**(-9/2)/o*o*o*o*o)/o)/((o/o**(-2/37))/o)))**(3/25) assuming o is positive.
o**(-13251/370)
Simplify ((l**(1/3)*l)/l**8)/(l*l**(-2/3)*l/((l*l/l**(-2/9))/l))*(((l**(1/8)*l)/l)/l**(2/25))**(2/21) assuming l is positive.
l**(-42673/6300)
Simplify (k*k*k**(-4/27)*k)/k**(-3)*(k/(k*k**(-23)*k*k)*k)/(k/(k/(k**(-3/14)*k))) assuming k is positive.
k**(10231/378)
Simplify (v**(-2/13)/v**(1/2))**(4/7)*v**7/v**(-2/13)*(v**(1/2)/v)**22 assuming v is positive.
v**(-384/91)
Simplify ((t**(2/13)/t)/t*t*t/t**(-7))**20*(t*t**0*t**(-8))/(t*t**(2/21)*t**5) assuming t is positive.
t**(35485/273)
Simplify (i**(2/39)/(i/i**(-1/5))*(i**(-2/19)/i)/(i**(10/3)/i))**32 assuming i is positive.
i**(-543872/3705)
Simplify w*w**(1/2)*w/(w**(-1)/w)*(w/(w*w**(2/11)*w)*w*w)/w**(-6)*(w**(-1/3)/w**(2/5))/(w**(-2))**(-2/37) assuming w is positive.
w**(127921/12210)
Simplify ((r**29/(r/r**(1/25)))/((r/r**(1/51)*r)/r**18))**(-4/9) assuming r is positive.
r**(-224704/11475)
Simplify ((l*l**(1/3)*l/l**(7/4))/(((l/l**(-1/4))/l)/l*l)**(17/5))**(-1/30) assuming l is positive.
l**(2/225)
Simplify ((((z*z**(-1/3)*z)/z*z**(-5))/(z**(-2))**47)**(1/28))**(1/11) assuming z is positive.
z**(269/924)
Simplify (m**(2/7)/(m/(m*m/m**2*m)))/(((m*m*m/(m**(3/4)/m)*m)/m)/m**(-2))*m*m/(m/(m/((m/m**(-3/2))/m)))*m*m**(1/6)*m*m**(2/7)*m**(1/9) assuming m is positive.
m**(-479/252)
Simplify ((o**(-1))**(16/3))**(-2/31)/((o/o**10*o)/o**(-1/4))**13 assuming o is positive.
o**(37607/372)
Simplify (((f*f**(-38)*f)/f)/(f**(1/6)/f))/(f**11)**(-41) assuming f is positive.
f**(2489/6)
Simplify (t*t/(t*t**(-3/20)*t)*t**(2/9)*(t*t/t**(-29)*t)/t**(-5))**13 assuming t is positive.
t**(87451/180)
Simplify ((s**(-3/4)/s)**(-43))**20/(s**(-2)*s*(s/(s/s**12*s)*s*s)/s)**39 assuming s is positive.
s**1076
Simplify ((m**2*m**1)/(m**(-1))**(-2/3))/((m**(2/21)*m**(-4/3)*m)/((m/(m*m**3*m))/(m**6/m))) assuming m is positive.
m**(-45/7)
Simplify (c**(1/10)/c*c*c**4)**(-3/31)/(c**(1/8)/c*c/c**(2/3)*(c/c**(-1/2))**(-46)) assuming c is positive.
c**(257219/3720)
Simplify ((a*(a/((a**(-3/4)/a)/a))/a*a)**32)**(-49)/((((a*a**3)/a)/a**(3/10))/(a**0)**(-2/75)) assuming a is positive.
a**(-74507/10)
Simplify (c**(-2)/c**(-2/29))**(-15/4)/((c/c**1)/(c*c**(-14)))**(-5) assuming c is positive.
c**(2095/29)
Simplify (((((((b*b**(-7))/b)/b*b)/b)/b*b)/b**(1/12))/(b**(-1/8)/(((b**(2/13)*b*b)/b*b*b)/b)))**(-26/9) assuming b is positive.
b**(1811/108)
Simplify ((i**(-2/5)/i)**(-5)/(i/(((i/(i**(1/4)*i)*i)/i*i)/i))**(-6))/((i*i*i**5*i*(i*i/i**(-2/7))/i)/(i*i**2)**(6/19)) assuming i is positive.
i**(1639/266)
Simplify ((f/(((f*f*(f/(f/(f*f*f**(-9)*f))*f)/f)/f)/f))**(-2/25)*(f*f**(-15/7))/f**(-5))**(-11/6) assuming f is positive.
f**(-6347/1050)
Simplify ((g/g**(2/29))**15/((g/g**24)/g*g**(-16)))**(-44) assuming g is positive.
g**(-68860/29)
Simplify (((r**(3/8)*(r*r/(r*r**15*r))/r)**(-3/8))**21)**(1/29) assuming r is positive.
r**(7875/1856)
Simplify ((r/(r*r*r/(r**(1/2)/r*r)*r*r))**24)**(10/3)*(r**5*r*r*r*r*r**(-1/4)*r*r)**(-18) assuming r is positive.
r**(-947/2)
Simplify ((z**(-1))**(-2/3)/(z/z**(-2)*z**(-5)*z))/(z*z*z**(-8)*z*z**(1/5)*z)**(-8/11) assuming z is positive.
z**(-181/165)
Simplify ((s/(s/(s/(s/(s**0*s)*s))*s))**39)**9*((s*s**(1/4))**(1/37))**(5/11) assuming s is positive.
s**(-571403/1628)
Simplify ((a**36*a)/a)**49/(a**(-41)/(((a**(-18)*a)/a*a)/a*a*a*a)) assuming a is positive.
a**1790
Simplify (i/(i*i/(i/(i*i*i/i**(-7)))*i)*i**(2/7))**(-2/27)/((i/i**(-3/8))/(i/(i**(2/9)*i)))**(-4/3) assuming i is positive.
i**(1105/378)
Simplify ((((d**(7/8))**0)**(-5/9))**(-4/5))**(-31/2) assuming d is positive.
1
Simplify ((((((r/r**(-3/34)*r*r)/r)/r*r)/r)/r)/(r**23*r)*r**(1/65)*r*(r/(r**(-3/7)/r))/r)**25 assuming r is positive.
r**(-1660535/3094)
Simplify (((b/((b*b**(1/8))/b))/b)/(b/(b**(-1)/b))*b/((b**(-2/3)/b)/b*b)*b**(-25)*b)**19 assuming b is positive.
b**(-11153/24)
Simplify (j**(2/7)/(j/(j/(j/j**0))))**(-23)*((j**(-6/11)*j)/j*j**7)**7 assuming j is positive.
j**(4744/77)
Simplify ((g*g**(-1/3))**(1/21))**(2/15)*(g**(-1/4)/g*g/((g*g**(-5))/g*g*g))**(-18) assuming g is positive.
g**(-93547/1890)
Simplify c**37/c**(-19)*((c**(15/4)*c)/c)/c**(1/31) assuming c is positive.
c**(7405/124)
Simplify (a/(a**(-28)/a))**(-11/9)*a/(a*a*(a**(3/35)/a)/a*a)*a**(18/7) assuming a is positive.
a**(-3589/105)
Simplify (b**(-2/5)/(b*b**(2/11)))/(b**(-1/2)/b**(-2/9))*((b/b**(-4))/b*(b/((((b/b**1)/b)/b)/b))/b)/(b/b**2*b/(b**(-2/13)*b)) assuming b is positive.
b**(84197/12870)
Simplify ((n**(2/35)/n)**(-2/5)/(n/(n*n/n**13)*n*n**(-7)))**(3/7) assuming n is positive.
n**(-2952/1225)
Simplify (((q/(q*q/(q*((q/q**(-3))/q)/q)))/q**(-1))/(q**(-3)*q**(-3/10)))/((q*q**(6/7))/q**0*(q**(1/2))**19) assuming q is positive.
q**(-177/35)
Simplify (j*j**5*j/(j/j**1*j)*j*(j**2/j)**(-14))/(j/j**7*j**(-6)*(j/(j*j**(-1/11)*j))/((j**2*j)/j)) assuming j is positive.
j**(87/11)
Simplify ((((r*r/r**(2/9)*r)**(-4/3))**31)**47)**(33/5) assuming r is positive.
r**(-320540/9)
Simplify (((h*h**2)/h)**(-3/37))**(-16/3)/((h*h*h**(-2/5)*h)/((h**(-5)*h)/h))**(-11) assuming h is positive.
h**(15626/185)
Simplify (t*t/t**(2/5))**(9/4)*t**(-3)/(t*(t/(t**(2/3)/t))/t*t)*(t**1/(t/(t*t*(t**(1/3)/t)/t)))**(1/42) assuming t is positive.
t**(-1087/630)
Simplify (h**(-1/2))**16*h**1/h*h/(
|
{
"pile_set_name": "DM Mathematics"
}
|
-14/15 - -4/15. Let c = 0.15 - 0.65. What is the nearest to -2 in c, 3/4, g?
g
Let n = -0.2 - -0.1. Suppose w = -3*w. Suppose f + 3*h - 1 - 4 = w, 5*f = 3*h + 25. Which is the closest to n? (a) -2/17 (b) f (c) 0.5
a
Let o = 0.13 - 6.13. Let k = 5.9 + o. What is the nearest to k in 3/5, 0.5, 0.3?
0.3
Let l = 73 + -72. Let b = -3 - -2. What is the closest to b in -0.5, -0.3, l?
-0.5
Let z be -3 + (-4)/((-108)/75). Let a be 1 + 0*1/2. What is the nearest to a in -1/4, z, 0?
0
Let u = -1 + 0.9. Let z = 0.6 + u. Let i = -0.3 + z. What is the closest to i in 3, -3, 0.2?
0.2
Let d(w) = -3*w - 8. Let u be d(-7). Suppose 5*r + u = -7. Let o = -23/6 + 7/3. What is the closest to -2/5 in r, -5, o?
o
Let i be 9/6 + 7/2. Let d = -0.2 + 0. Which is the nearest to -1/4? (a) 2/3 (b) i (c) d
c
Let k = 0.13 + -0.03. Which is the closest to 0? (a) 2/3 (b) k (c) 5
b
Let q = 3.99 - -0.01. Suppose 2*o + 30 - 22 = 0. Which is the nearest to -2? (a) 2 (b) q (c) o
c
Let g = 47/75 - -1/25. What is the closest to g in 3, 4, 2/11?
2/11
Let z(q) = 3*q - 6. Let d(v) = -7*v + 13. Let h(a) = -4*d(a) - 9*z(a). Let s be h(-1). What is the closest to s in 0.5, -0.3, -3?
0.5
Let d = -0.1 - 0.9. Let x = d - 0. Suppose 2*y = -4*j + 4, -4*j - y = 2*y - 8. Which is the nearest to j? (a) x (b) -1/4 (c) -2
a
Let o = -0.58 + 0.18. Let k = 0.2 - 0. Let f = -4 - -5. What is the closest to f in k, -1/5, o?
k
Let n = -18 - -13. Let j(d) = -d + 3. Let y be j(6). Suppose 3*r = 5*u - 2, r + 4 = 2*u + 3*u. Which is the closest to r? (a) -1/5 (b) n (c) y
a
Let f be (2/6)/(4/(-6)). Let y = 57 + -59. Let g = -4.95 - 0.05. What is the nearest to f in y, -0.1, g?
-0.1
Let n be 16/6 + (-14)/21. Which is the closest to -2? (a) 4 (b) 0.3 (c) n
b
Let d = -2.9 - -0.9. Which is the closest to 1? (a) d (b) -3 (c) -1
c
Let i = 4.2 + -1.2. What is the closest to 2 in -1/4, -5, i?
i
Let m be 2/10*3/(-3). Let t = 0.01 - 0.01. Let g = -0.17 + 0.57. What is the nearest to t in m, g, -4?
m
Let g(p) = -5*p + 4. Let v be g(-4). Let r be (-4)/(v/(-21)) + -3. Which is the nearest to r? (a) 1/4 (b) -2 (c) -4
a
Let k = 8 + -1. Let p = -5 + k. Which is the nearest to p? (a) 0.2 (b) 4 (c) 0.5
c
Let k = -3/2 + 7/6. Which is the nearest to -3? (a) 0 (b) -1 (c) k
b
Let r = -175/52 + 60/13. What is the closest to 12 in 5, -0.3, r?
5
Let p = 0.4 + -0.3. Let c = -1.21 + 0.71. What is the closest to p in 1/6, c, 0?
1/6
Let m = 9/4 + -5/2. Which is the closest to -0.1? (a) m (b) 1/10 (c) 2/9
a
Let z = -21/5 + 283/65. Which is the nearest to 0.1? (a) 0 (b) z (c) 2
b
Let y = -0.76 - -0.96. Which is the nearest to -0.01? (a) y (b) 2/7 (c) 2/13
c
Let d = 0.3 - 0.24. What is the closest to 0.2 in -4, -3/8, d?
d
Let b = -0.11 + 0.06. Let h = -0.35 + b. What is the nearest to -0.1 in h, -2, 1?
h
Let r(k) = -2*k**2 + 3. Let x be r(-2). Which is the closest to -1? (a) 5 (b) x (c) 0
c
Let m = -115/336 + 7/16. Let r be (1 - 0) + (-91)/65. Which is the closest to r? (a) m (b) 0.2 (c) -1/5
c
Let z = 0.1 + -0.2. Let q = 0.6 + z. Let l = -0.5 - -0.9. Which is the closest to -1/2? (a) 2 (b) q (c) l
c
Let p = 0.09 + 0.91. Let z = -1 - -1.1. Which is the nearest to p? (a) 1/12 (b) z (c) 3
b
Let x = -0.4 + 3.4. Let h = -7 + x. Let j(s) = -s**2 + 8*s - 8. Let z be j(7). Which is the nearest to 1? (a) 4 (b) h (c) z
c
Let l = 0.54 + 0.06. Let w = -1.6 - l. Let h = -2 - w. What is the nearest to h in 4/7, -3, 5?
4/7
Let x = 8 - 7.8. Let b = -3 + 5. Let s = -3 + b. What is the closest to s in -0.4, x, 0.5?
-0.4
Let d = -61.4 - -55. Let u = d + 6. What is the closest to -0.1 in -3, u, -5?
u
Let g = 7 - 5. Let v = g + 2. Which is the closest to -2? (a) 2/7 (b) v (c) -0.2
c
Let y = -5 + 10. Which is the closest to 0.1? (a) y (b) -1 (c) -6
b
Let i = 0.32 - 0.42. What is the nearest to i in -0.3, 4, 2?
-0.3
Let s = 1 - -5. Let g be (s/4)/(8 + -14). Which is the nearest to -2/7? (a) g (b) -2 (c) 3
a
Let s = -0.06 + -0.14. Let l = -7 + 7.3. Let x = l - s. What is the closest to -1 in -5, x, 2?
x
Let f = -2.1 + 2. Let w = 45 - 45. Suppose i = 4*i. What is the nearest to w in f, i, 3?
i
Let w = -29 - -32.4. Let j = -0.6 - w. Which is the nearest to -0.1? (a) j (b) 2 (c) 4
b
Let o = -11 - -19/2. Let m = 5 - 5. What is the nearest to m in o, 4, -0.3?
-0.3
Let g be (-3)/2*8/6. Let v = 7/4 + g. Let h = 155/152 - 9/8. What is the nearest to v in h, -5, -0.4?
h
Suppose 5*n - 7 = -3*i + 8, 5*n - 25 = -5*i. What is the closest to -2 in 4, i, -3?
-3
Let u = 22.7 + -20. What is the nearest to -0.1 in 0, -3, u?
0
Let c be (-2)/7*(-25 + 24). Suppose 3*w - 3 = -3*i - 0, -i - 7 = -w. Let r = 2 + -2. What is the nearest to r in c, w, -3/2?
c
Let v = -36 + 71/2. What is the closest to -0.1 in 2/7, v, 0?
0
Let r = -27.1 - -27. Let g = r - -0.2. What is the closest to -2/3 in g, 0.5, -3/8?
-3/8
Let w = 355/234 + -2/117. Let k = 19 + -31. Let x = k - -12. Which is the closest to x? (a) w (b) 3/8 (c) 5
b
Let z = 23 + -25. What is the nearest to 0.2 in 5, z, -4?
z
Let i = -1 - -1. Let p = -1.2 - -1.1. What is the closest to p in -1/6, 3, i?
-1/6
Let i be -1 - -3 - (-192)/(-92). Suppose -c + 23 = -5*g - 7, -5 = c + 2*g. What is the nearest to -1/2 in c, 3, i?
i
Let s = 19 + -18. Let o = 2.02 - 0.02. Let f = -7 + o. Which is the nearest to s? (a) 0.2 (b) f (c) 0
a
Let t be (-33)/(-22) + 9/(-4). Suppose -g + 15 = -3*x + 2*g, 23 = -3*x + 5*g. Let y = -3 + 2.9. What is the nearest to y in t, x, 0.5?
0.5
Let h = -15 + 9. Let s = h + 8. What is the closest to 0.1 in -1/4, -2/3, s?
-1/4
Let j = -4 - -5. Let b = j + -1. What is the closest to 1 in b, 1, 2/23?
1
Let t(w) = 4*w**2 - 7*w - 4. Let x be t(6). Let l = x + -68. Suppose -14 = -o + 2*o + 5*f, 5*f = -5*o - l. What is the closest to 0.1 in o, 0.2, 0.5?
0.2
Let k be (-2)/3 + (-20)/(-12). Let g = 0 + k. Which is the closest to -1? (a) g (b) 5 (c) -4
a
Let p = -1 + 0. Let x = 0.9 + 2.1. What is the closest to p in x, 5, 4?
x
Suppose 1 + 3 = -2*f. Let d = f - -4. Let p = -0.14 + 0.14. What is the closest to d in p, -2/13, -0.2?
p
Suppose 3*s + 2 = -4*h, 2*s + 3*s - 6 = -2*h. Which is the closest to -2? (a) s (b) 3/4 (c) 5
b
Let c = -4.6 - 1.4. Let a = -6.09 - c. Let b = 0.01 - a. What is the closest to 0.1 in 0, -0.4, b?
b
Let p = 0.5 - 0.3. Let y = -6.08 - -6. Let l = y + 0.18. What is the nearest to l in 5, p, 3?
p
Let u = -0.4 - -0.2. What is the nearest to -0.2 in 1/3, -8, u?
u
Let i = 1.2 + -0.2. Let n(u) = -u**3 - 5*u**2 + 6*u + 2. Let z be n(-6). Which is the nearest to i? (a) -1 (b) -5 (c) z
c
Let v = 0.19 - 4.19. Let m = 0 + v. Let h(t) = 4*t**2 - t. Let o be h(-1). What is the closest to 2 in o, m, 0?
0
Suppose -j = -3*x + 17, 0 = -4*j + x + 4*x - 61. Let l be 11/j + (-3)/(-6). What is the closest to 0.1 in -1, 2/5, l?
2/5
Let n be ((-4)/30)/(1/5). Which is the nearest to 0.1? (a) 3 (b) 4/7 (c) n
b
Let x be 1/2*8/10 + 0. What is the closest to x in -3/2, 1, -0.5?
1
Let d be (-6)/5*-1 + -1. Let o = -14.1 + 14. Let y = o - -0.1. Which is the nearest to y? (a) 3/5 (b) d (c) 3
b
Let h be (-10)/48 + (-2)/(-6). Suppose -2*q = 3*q + 10. Let m be 5/4 + -66 + 65. Which is the nearest to m? (a) h (b) q (c) -2/3
a
Suppose -i + 27 = 5*x, 4*i = 3*x + 2*x - 17. What is the nearest to -0.1 in 0.7, x, -0.2?
-0.2
Suppose 69*j - 66*j = -15. What is the nearest to -2/3 in 2, 1/8, j?
1/8
Let q = -11 - -15. What is the closest to -4 in 0, 1, q?
0
Let s = -0.6 - -0.49. Let t = -0.61 - s. Let o = -0.1 - 0.9. Which is the closest to 1? (a) o (b) t (c) 1/8
c
Let t = 1.09 - 0.09. Let i = 15 - 13. Which is the nearest to i? (a) -4 (b) -2 (c) t
c
Let l = -83 + 419/5. Let j = -0.03 + -0.37. Let d = 1.04 - 0.04. Which is the closest to d? (a) 0 (b) l (c) j
b
Let v = 0.06 - -0.94. Let m = v + -1.4. Which is the nearest to 1? (a) 3 (b) 2 (c) m
b
Let u be 2 + (10/65 - 2). Which is the closest to 0? (a) u (b) 8 (c) 0.5
a
Let l = 8 - 9. Let h be (-2*(-10)/(-4))/l. Let t = -19 - -153/8. What is the nearest to 1/4 in -5, h, t?
t
Let r = 12.8 + -5.5. Let q = r + -3. Let z = 0.7 + q. Which is the closest to 2/5? (a) 1/3 (b) -0.5 (c) z
a
Suppose 2*x = -8, o = 3*o + 2*x - 8. Let s = 13 - o. Let d = -0.6 - 1.4. Which is the nearest to -2? (a) d (b) 0 (
|
{
"pile_set_name": "DM Mathematics"
}
|
se 3*q - 3*v + 7 = 2*q, -p*v - 13 = -5*q. Solve u*t = q*l - 10, -2*t + 4 + 2 = 3*l for t.
0
Let q(c) be the third derivative of -13*c**4/24 - 17*c**3/6 - 37*c**2 + 2*c. Let m be q(-2). Solve 0 = -3*r + s - 15 + 2, -r = -5*s + m for r.
-4
Suppose 3*v = 3*x - 60, 5*x - 3*v = -4*v + 106. Let n(o) = -13 + 2*o - 12 - o + x. Let w be n(8). Solve 0 = -4*l + 2*l - b - w, 0 = -l - b for l.
-4
Suppose 0 = -4*y + 33 + 7. Suppose y*j - 45 = 5*j. Suppose 2*p = p + 2*f + j, 3*f + 26 = 4*p. Solve -3 = -i, -4*x - 2*i + p*i = 25 for x.
-4
Suppose 68*v + 124*v - 4608 = 48*v. Solve 3*i + 3 = -3*c, 4*c - 48 = i - v for i.
-4
Let d(i) = 22*i**3 + i**2 + 5*i - 6. Let y(w) = -w**2 - 12*w - 19. Let f be y(-10). Let z be d(f). Solve -5*k + z - 7 = 0, 5*v + 28 = k for v.
-5
Let p be 20 - 13 - (191 - 1). Let u be -7 + p/(-15) - (-2)/(-10). Solve -4*b = -0*n - 2*n - 10, -u*b = 3*n - 29 for n.
3
Let m = -21 - -23. Suppose m*a - 7 + 0 = 3*l, 0 = -3*a + l - 7. Let c be (2/a)/(-4 - 47/(-12)). Solve 16 = -4*u, v - 3*u - 13 = -c for v.
-5
Suppose 3*j = 3*b - 3, -20*b + 17*b = -5*j + 7. Solve -14*k + 19*k = 15, -2*f = j*k - 25 for f.
5
Let q = 829 + -824. Solve q*h - 20 = 5*u - 10*u, -h = -5 for u.
-1
Let p be (2457/195)/7 + (0 - 2/(-10)). Solve 0 = -4*q - v - 11, -q = -2*q - p*v - 1 for q.
-3
Let m(x) = 3*x + 53. Let v be m(-17). Solve 2*w + 5*r - 10 = 7*w, 0 = v*w + 2*r for w.
-1
Let k(g) = -g**3 + 12*g**2 - 18*g - 8. Let j be k(8). Suppose 0 = -0*r - 13*r + j. Solve 0 = 2*b - r, 3*w + w - 2*b = -8 for w.
0
Suppose 4*y = -h - 3, -h + 9 = -2*y - 4*h. Let v(w) = 12*w - 87. Let i be v(10). Suppose 24*u = i*u - 18. Solve 0 - u = 2*l, y = 4*b - l + 11 for b.
-3
Suppose 0 = 114*a - 115*a + 6. Suppose -16 = -3*d + 2*i, a*d = d - 5*i + 10. Solve -d*m = -3*q - 25, 2*q = -4*m - 3*q + 1 for m.
4
Let v(m) = -59*m - 59. Let a be v(5). Let r = a - -378. Solve 4*t = 4*f + r, -2*f + 4 = 4*t - 2 for f.
-3
Let l = -7713 - -7741. Solve -v = -k - 2, 0 = -2*k - l*v + 27*v + 11 for k.
3
Let p be -4 + (-11*(-4)/(-8)*-6 - 1). Solve -5*k - 6 = -3*h, 33*k = p*k for h.
2
Let q = 120 + -82. Suppose q = l - 2*x, l - 135 = -4*l - x. Solve 0 = -4*m + 4*i + l, -8*m + 2*i + 20 = -4*m for m.
3
Let l(h) = -h**3 + 5*h**2 + 12*h - 61. Let p be l(4). Solve -2*f = -3*k - p, f + 5 = -2*k + 3 for f.
0
Let n be (18 + -10 + -3)/1*1. Solve 5 = r + 4*x - 0, 2*r = -n*x + 1 for r.
-7
Suppose 34 = 4*t - 459*l + 462*l, -1 = t - 4*l. Solve 3*m = -9, -t*o + 2*o - 5*m = 30 for o.
-3
Let u = -363 + 367. Let o be -6*(-3 - u/6). Solve j + 8 = -2*c, 0*c = 5*j + c + o for j.
-4
Let q = 16 + -4. Suppose l + 3*n = -q, 0*l - 20 = 3*l + 5*n. Suppose -i + y = 2, l*y - 8 = -4*y. Solve 2*a = -2*a + x + 12, -4*x = i for a.
3
Let c = 6464 + -6452. Solve 3*d + 11 = 20, -2*w + 2*d = c for w.
-3
Let n(b) = -3*b**3 + 38*b**2 + 11*b + 22. Let t be n(13). Let k(r) = 2*r**3 + 6*r**2 - 12*r - 10. Let o be k(t). Solve -5*i + 6 = -4*v, 4*v = 4*i - o + 2 for v.
1
Let i(f) = -4*f**2 + 39*f - 33. Let x(s) = -3*s**2 + 26*s - 22. Let h(k) = 5*i(k) - 7*x(k). Let a be h(-14). Solve -3*u = -a*m + 2*m + 3, -5*u = -2*m + 4 for u.
-2
Let n = -2376 - -2386. Solve -14*f - 4 = -n*f, -2*h + 3*f = -9 for h.
3
Let c(i) = -i**2 - i - 1. Let f(w) = -4*w**2 - 6*w - 11. Let s(u) = -6*c(u) + f(u). Let h be s(2). Solve 4*b - 40 = -4*k, -3*k - h*b = -4*b - 10 for k.
5
Suppose 4*t - 82*x = -78*x + 104, -4*x = -2*t + 64. Solve -5*b = -5*j - t - 20, 3*j - 11 = -4*b for j.
-3
Suppose 66 = -2*d + 3*n, -3*n - 165 = 5*d - 5*n. Let t = d + 36. Solve s + t = 0, 4*j - 5*s - 5 - 2 = 0 for j.
-2
Let b(t) = t**3 + 7*t**2 - 21*t - 5. Suppose 13*o - o = -876. Let c = -82 - o. Let f be b(c). Solve 5*i - f = p, 3*p = -i - 0*i - 2 for p.
-2
Let t = -146 + 327. Let w = t - 173. Solve 0 = -q + 5*d - 0*d + 16, q + d + w = 0 for q.
-4
Suppose 3*f + 2*l - 18 = 0, 0 = -0*f + 2*f - l - 5. Suppose -4*k - 324 = 2*t, 5*k - 121 = t + 48. Let z = -139 - t. Solve h = -1, f*c - 8 = -5*h - z for c.
-3
Let h(q) = 117*q + 13. Let l be h(-8). Let g = -923 - l. Let i be (-2)/8 - 3/(-12). Solve -4*o + 2*r - 10 = i, 11 = -5*o - g*o + r for o.
-2
Let v be 1/(-4)*-4 - -2. Let z be (0 - v)*((-2)/3)/(-1). Let p be 6/z - (-13 + 7). Solve 10 = 2*x + 4*w, x - p*w - 10 = -x for x.
5
Suppose 925 = -2*t + 64*t + 123*t. Solve -t*c = 4*i - 14, -5*i = -15*c + 12*c + 1 for c.
2
Suppose -75*x = -78*x + 93. Suppose -18*s + 5 = -x. Solve -s*l + 2 = -5*h - 12, 8 = h - 4*l for h.
-4
Let z = 44 - 41. Suppose 0 = z*o + 3 - 12. Solve -4*y - 19 = -2*y - 3*g, o*y = -4*g + 14 for y.
-2
Suppose 9*l + 15 = 4*l, 5*l = o - 13. Let h be -6 - (o + -2 + 2). Let n be 2 - h/(-4)*-1. Solve 4*k = 3*i - 5, -n*k - 6*i + 2*i - 35 = 0 for k.
-5
Let z(c) = -c**3 + 25*c**2 - 123*c - 40. Let v be z(18). Solve v = o - 3*a, 11*o + a = 6*o + 22 for o.
5
Let l = 25 - 27. Let v be (3 - 3)*l/6. Let o(j) = j**2 - 5*j - 33. Let z be o(-4). Solve -5*i + 2*h - 5 = -z*h, v = 5*h - 10 for i.
1
Let w(s) = s**3 - 11*s**2 + 4*s - 42. Let k be w(11). Suppose 5*u = 5*j + 35, -u + 16 = k*u - 2*j. Solve 2*p + u*p + 4 = 2*a, 3*a = p + 1 for a.
0
Suppose -4*y - 2*s - 20 = y, -15 = 3*s. Let k(g) = 4*g + 14. Let w be k(y). Solve 5*i + 5*j - 15 = 0, -2*j + 0*j = -w for i.
0
Let w be ((-13)/((-26)/4))/1 - -18. Solve -3*h - 22*t + 26*t = w, 4*h = -3*t + 15 for h.
0
Let d = 4689 - 4685. Solve -12*s - 4*g = -8*s - 8, -2*g + 16 = -d*s for s.
-2
Let z = -500 - -490. Let b be (2 - 0)/(z/(15/(-3))). Solve b = 2*j + 5, -c - 5*j - 14 = 0 for c.
-4
Let j(f) = -f**3 - 4*f**2 + 6*f + 24. Let u be j(-5). Suppose -14 = 3*l - 20, 0 = -m - 5*l + u. Solve -3*d + p - 17 = 0, -d - 3*p = -4*p + m for d.
-4
Suppose -4*n + 41 = -o, -30*n + 2*o - 4*o = -260. Solve 5*v + 52 = -5*u + 57, -3*u = -3*v - n for v.
-1
Let q(v) = -18*v - 160. Let p be q(-9). Solve p*y - 28*l = -33*l - 9, y + 7 = -5*l for y.
-2
Let s(j) = 3*j**3 + 202*j**2 - 142*j - 93. Let p be s(-68). Solve 3*v + p*f - 311*f = 0, 3*v - f = 0 for v.
0
Let l(v) = v**3 - 4*v**2 - 15*v + 18. Let w be l(6). Solve 29*h - f + 13 = 33*h, 2*f + 6 = w for h.
4
Let n be (-41850)/(-1674) + (3 - 3 - 21). Let i = -10 - -16. Solve 0 = -p - 3*l + i, n*l + 0*l = -3*p + 13 for p.
3
Suppose -6*k + 9*k = -5*k - 4*k. Solve 11*m = -x + 10*m, -5*x - 2*m = k for x.
0
Let i = 88 + -118. Let k = 35 + i. Suppose 0 = -4*o - u - u + 16, -k*u = 3*o - 26. Solve 3*s - 3 = 5*g - 18, -o*g = -5*s - 25 for s.
-5
Let h = 49 + -47. Let f be (-5 + 9)/(2/h). Suppose f*l = 3*i - 24 + 6, -l = 3*i - 3. Solve 2 = -3*u - 2*m, -5*m + 33 = -i*u - 0*u for u.
-4
Let r(v) = 80*v - 288. Let q be r(4). Suppose -q*c = 6*c - 114. Solve 3*i = -2*u - c + 2, 4 = u for i.
-3
Suppose -5*o + 10 = -f, 4*o - 2 = f + 5. Suppose 4*a = f*a - 3. Solve t = -4*l + a, -l + 3 = -5*t - 3 for t.
-1
Let n be 18 - 0/(-9 + -3). Solve s - 3*q + n = 0, -3*s - 4*q = -10 - 1 for s.
-3
Suppose 0 = d + d - 14. Suppose -646 - 3042 = -8*c. Let q = -458 + c. Solve -2*a - d = q*w, -3*w - 12 = w for a.
1
Suppose 2 = -2*t - 2*g, -t + 10 - 17 = 2*g. Solve -16 = -4*y + 2*a, 3*y + 14 = -10*a + t*a for y.
2
Let t(w) = 2*w + 37. Let g(c) = -16 - c - c**3 - 10*c**2 + 0*c - 8*c. Let p be g(-9). Let a be t(p). Solve -a*i = -x - 2, 3*i - 4*x - 4 = -2*x for i.
0
Let g(k) = 18*k + 6. Let l be g(-1). Let f = 25 + -29. Let j be 4/l - (f - 5/(-3)). Solve 0 = j*c + 5*m + 12, -3*m + 2 = 8 for c.
-1
Suppose -154*f + 166*f + 1632 = 0. Let a be 10/2 - (-135 - f). Solve -2*p - 3*p = -y + a, 5 = -5*p for y.
-1
Let j(f) = -2*f**3 - 27 + 12*f**2 + 3*f - 7*f**3 + 8*f**3. Let h be j(12). Suppose -14*c + h = -11*c. Solve -a + 3*a + c*k = -21, -2*k = 2*a + 16 for a.
-3
Suppose 6*n - 236 = -2006. Let o = n + 303. Solve -2*f = -7*f - 5*z + 35, 4*f - z = o for f.
3
Suppose -2*v = -6 + 2. Let g(r) = 0 - r**v - 4*r - 3 + 10 - 2. Let b be g(-4). Solve -2*q - 2*n + 5*n + 16 = 0, -b*q = 4*n + 6 for q.
2
Let z(x) = x**3 + 11*x**2 + 13*x - 6. Let i be z(-10). Let w = i - -53. Let a be (-2)/5 + (-245)/(-175). Solve -4*b + a - w = -f, 2*f = -3*b - 1 for b.
-3
Let a(t) = t**3 - 2*t**2 - 114. Let d be a(0). Let i = -109 - d. Solve x - 4*v - 3 = -22, x + i*v - 26 = 0 for x.
1
Suppose -4*n - 2*f + 10 = 0, 0 = -18*n + 23*n + 2*f - 14. Solve -4 = 4*l - n*q + 3*q, 5*q = l - 18 for l.
-2
Suppose 3*l - 21 - 8 = -4*y, -5*l = y - 20. Suppose -3*m - 2*u = u - 12, 17 = 4*m
|
{
"pile_set_name": "DM Mathematics"
}
|
*o + o - 4*o. Let w(h) = h. What is d(w(g))?
g
Let y(j) = -2*j**2 - 4*j + 4. Let l(t) = t**2 + t - 1. Let d(p) = -4*l(p) - y(p). Let c(q) be the first derivative of -q**3/3 - 20. What is c(d(h))?
-4*h**4
Let p(m) = -6*m + 5. Let j(c) = 1. Let w(h) = -5*j(h) + p(h). Let f(y) = -6*y + 5*y - y. What is w(f(r))?
12*r
Let q(x) = x**2. Let r(v) be the first derivative of v**2 + 4. What is q(r(h))?
4*h**2
Let n(k) = 74*k**2. Let h(b) = 20*b**2. Give n(h(i)).
29600*i**4
Let g(o) = -o**2. Suppose -u + 2*t - 8 = 0, 0 = 5*t - 4*t - 5. Let x = 11 - 8. Let j(w) = 2 - u + x*w. Calculate g(j(d)).
-9*d**2
Let g(l) = 16*l. Let u(q) = -2*q**2 - 3*q - 3. Let o(r) = -5*r**2 - 8*r - 8. Let w(k) = -3*o(k) + 8*u(k). Give g(w(c)).
-16*c**2
Let q be (-3 + 20/12)/(12/(-18)). Let u(h) be the second derivative of 0 + 0*h**q - 1/4*h**4 + 2*h + 0*h**3. Let y(x) = -x. Determine y(u(r)).
3*r**2
Suppose -3 = -2*h + 5. Let r(o) = h*o + 0*o + o. Let w(n) be the second derivative of n**4/12 + n. Determine w(r(v)).
25*v**2
Let g(p) be the second derivative of p**6/180 - p**3/6 - 4*p. Let d(u) be the second derivative of g(u). Let r(t) = -t**2. Give r(d(c)).
-4*c**4
Let p(n) = n**2 - 130*n. Let z(t) = 2*t. Give z(p(i)).
2*i**2 - 260*i
Let l = 29 - 27. Let h(o) = o + l*o - o - o. Let r(y) = -10*y. Give h(r(j)).
-10*j
Let k(v) = -2*v**2. Let j(d) = 20*d. Determine k(j(z)).
-800*z**2
Let d(q) = 5*q**2 - 3*q**2 - 2*q**2 - 2*q**2. Let p(c) = -11*c**2 + 5. Let s(v) = -6*v**2 + 3. Let k(n) = -3*p(n) + 5*s(n). What is k(d(f))?
12*f**4
Let h(y) be the third derivative of 7*y**5/60 + 23*y**2. Let d(r) = 4*r**2. Calculate d(h(c)).
196*c**4
Let z(g) = 2*g**2. Let i(k) = -569*k. Determine i(z(x)).
-1138*x**2
Let p(r) = 5*r**2. Let g(z) be the second derivative of z**4/4 + 9*z. Calculate g(p(f)).
75*f**4
Let p(l) = -l**2. Let v(z) = -z**2 + 6*z - 3. Let d be v(4). Let k(g) = -2*g - 3*g + 6*g**2 + d*g. Calculate k(p(w)).
6*w**4
Let s(f) = -2*f**2. Let a(l) = -43*l**2 - 2. Let v(o) = -8299*o**2 - 387. Let u(z) = -387*a(z) + 2*v(z). What is s(u(d))?
-3698*d**4
Let w(v) = -v**2 - 6*v. Let j(x) = 2*x**2 + 13*x. Let q(k) = -6*j(k) - 13*w(k). Let n(z) = -3*z**2. Give q(n(u)).
9*u**4
Let g(o) be the third derivative of -o**6/720 - o**4/8 + 2*o**2. Let v(i) be the second derivative of g(i). Let b(j) = -j**2. Determine b(v(f)).
-f**2
Let j(o) = -5*o**2. Let s(h) = -h**2. What is s(j(y))?
-25*y**4
Let p(o) = -2*o. Let m(l) be the first derivative of 5*l**2/2 + 5. What is p(m(v))?
-10*v
Let p(q) = -q**2. Let w(b) = 1944*b**2. Determine w(p(f)).
1944*f**4
Let n = 7 - 5. Let g(q) = -2 + n + 5*q**2. Let o(z) = 3*z**2. Determine g(o(b)).
45*b**4
Let u(j) = j**2 - 771*j - 1. Let s(q) = -2*q. Give u(s(k)).
4*k**2 + 1542*k - 1
Let t(i) = 3*i**2. Let y be 1 - (1 - -3) - -4. Let o(r) = y - 2*r - 4*r + r**2 + 5*r. Let k(h) = 5*h**2 - 6*h + 6. Let m(d) = -k(d) + 6*o(d). Determine m(t(a)).
9*a**4
Let i(n) = n**2 + 16*n**2 + 0*n**2 - n**2. Let f(k) = -2*k. What is i(f(g))?
64*g**2
Let o(d) = -7*d. Let k(x) = 12*x**2. What is k(o(t))?
588*t**2
Let u(d) = 309*d**2 + 13*d. Let z(q) = -q. Determine z(u(p)).
-309*p**2 - 13*p
Let b(o) = 151*o**2. Let u(t) = -2*t**2. Give b(u(d)).
604*d**4
Let h(r) = -59499*r**2. Let i(l) = 2*l. Calculate h(i(q)).
-237996*q**2
Let g(n) = -n. Let j(z) be the second derivative of -z**5/20 - 3*z**2/2 + 2*z. Let m(v) be the first derivative of j(v). What is g(m(t))?
3*t**2
Let q(m) = -13*m**2. Let h(i) be the third derivative of i**5/30 - 13*i**2. Calculate h(q(l)).
338*l**4
Let s(t) = -3*t**2. Let r(w) = -2*w + 4. What is r(s(x))?
6*x**2 + 4
Let m(j) = -2*j**2. Let a(n) be the third derivative of -n**6/180 + 5*n**4/24 - 5*n**2. Let f(l) be the second derivative of a(l). What is f(m(s))?
8*s**2
Let i(c) = -8*c. Let x(d) be the second derivative of d**3/6 - 4*d. Calculate i(x(h)).
-8*h
Let g(f) = -2*f**2. Let w(c) = 10 - 2*c**2 + 17 - 27. Give w(g(k)).
-8*k**4
Let g = -2 - -4. Let c(j) = -2*j + 4*j - j**g - 2*j. Let s(w) = -w**2. Give s(c(b)).
-b**4
Let g(o) = -3*o**2. Let z(f) = -162*f**2. Give z(g(t)).
-1458*t**4
Let h = -25 + 28. Let g(m) = m + h*m - 2*m - 3*m. Let n(w) = 8*w + 3. Let s(b) = -7*b - 2. Let r(o) = -2*n(o) - 3*s(o). Determine g(r(v)).
-5*v
Let d(z) = z**2 + 8 - 8. Let t(g) = -2*g**2. What is t(d(h))?
-2*h**4
Let r(w) = -w - 2*w + w. Let y(j) = -2*j - 2. Let a(z) = z**2 + 11*z + 11. Let x(s) = -2*a(s) - 11*y(s). What is r(x(m))?
4*m**2
Let h(w) = -w**2. Let v(j) be the first derivative of 7*j**2/2 - 7. Calculate v(h(t)).
-7*t**2
Let n(u) = u. Let w = 1 - 0. Suppose 2*c - 3 - w = 0. Let g(z) = -2*z - 3*z**2 + c*z. Determine n(g(p)).
-3*p**2
Let j(k) = -11*k + 1. Let z(x) = 12*x**2 + 5. Let n(u) = 7*u**2 + 3. Let c(v) = 5*n(v) - 3*z(v). Determine j(c(y)).
11*y**2 + 1
Let x(a) = -2*a**2. Let f(z) = 16*z**2 - 34. What is f(x(b))?
64*b**4 - 34
Let n(v) = 37*v + 1. Let u(k) = -4*k**2 - 3*k - 3. Let s(p) = -7*p**2 - 5*p - 5. Let z(f) = -3*s(f) + 5*u(f). What is n(z(x))?
37*x**2 + 1
Suppose -3 = -4*j + 9. Let i(f) = 40 - j*f**2 - 40. Let n(y) = 3*y. Give n(i(m)).
-9*m**2
Let l(o) = -9*o - 1. Let d(x) = -x. Calculate l(d(s)).
9*s - 1
Let j(q) be the third derivative of -q**4/6 + 8*q**2. Let r(k) be the third derivative of k**4/24 + 2*k**2. Calculate j(r(s)).
-4*s
Let x(z) be the second derivative of -z**6/120 + 3*z**3/2 - 7*z. Let o(w) be the second derivative of x(w). Let i(m) = -3*m. What is i(o(q))?
9*q**2
Let d(i) = 2*i**2. Let v(r) = -24*r + 2. Calculate d(v(t)).
1152*t**2 - 192*t + 8
Let m(o) = 18*o**2 + 5*o + 5. Let y(n) = -9*n**2 - 2*n - 2. Let l(t) = 2*m(t) + 5*y(t). Let z(p) = 3*p. Determine l(z(a)).
-81*a**2
Suppose -2*q = 5*y + 7, -2*q + y - 1 + 0 = 0. Let j(k) = -k**2 + k. Let v(p) = -4*p**2 + 2*p. Let i(d) = q*v(d) + 2*j(d). Let r(c) = c**2. Determine i(r(z)).
2*z**4
Let k(p) = -p. Let d = 17 - 17. Let b(m) be the second derivative of 0 + 0*m**2 - 1/4*m**4 + m + d*m**3. Give k(b(c)).
3*c**2
Let i(y) = 0*y - 3*y + 2*y. Let o(w) = 4*w - 159 + 159. What is i(o(s))?
-4*s
Let h(u) be the first derivative of -2*u**3/3 + 1. Let l(j) = -j**2. Determine l(h(g)).
-4*g**4
Let a(q) = 3*q - 16. Let s(n) = -12*n. Determine s(a(j)).
-36*j + 192
Let r(a) = 19*a. Let k(x) = 4*x**2 + 3*x + 3. Let u(z) = -11*z**2 - 8*z - 8. Let w(f) = -8*k(f) - 3*u(f). What is r(w(b))?
19*b**2
Let d(r) = -102*r + 42. Let s(w) = 12*w - 5. Let b(p) = 5*d(p) + 42*s(p). Let a be (8/6)/((-4)/(-9)). Let u(q) = 0*q + a*q - 4*q. What is u(b(k))?
6*k
Let i(o) = -5*o**2 - 12*o**2 + 16*o**2. Let k(z) be the second derivative of -z**5/60 - z**2/2 - z. Let y(f) be the first derivative of k(f). What is i(y(p))?
-p**4
Let t(l) = -l**2 + 328 - 328 + 0*l**2. Let g(z) = -2*z**2. Determine t(g(h)).
-4*h**4
Let b(d) = -6*d. Let f(u) be the third derivative of -5*u**4/24 + 4*u**2 - 4*u. Give b(f(t)).
30*t
Let y(c) be the first derivative of -3*c**2/2 - 3. Let t(o) = -2*o. Calculate y(t(i)).
6*i
Let s(v) = -v**2 - 2*v - 1. Let n be s(-3). Let o be 1/(-4) - 1/n. Let t(q) = q + q + q + o. Let f(m) = -2*m. Calculate f(t(r)).
-6*r
Let i(j) = 3547*j - 2. Let s(y) = y. Give s(i(m)).
3547*m - 2
Suppose -6*d + d = -65. Let w(k) = 22*k + d*k - 36*k. Let y(j) = 4*j**2. What is w(y(t))?
-4*t**2
Suppose d + 3*d = 12. Let j(r) = -3*r + 6*r + 3*r**2 - d*r. Let g(u) be the second derivative of -u**4/6 + u. Determine j(g(x)).
12*x**4
Let b(r) = 2*r. Let a(m) = 1946*m. Give b(a(i)).
3892*i
Let j = 6 - 4. Let q(x) = -3*x**2 + 9*x**j - 8*x**2. Let l(k) = -3*k**2. What is q(l(a))?
-18*a**4
Let m(j) = -8*j. Let v(k) = -34*k**2. Determine v(m(d)).
-2176*d**2
Let d(a) = 40*a**2. Let b(s) = s**2 + 62*s. Determine b(d(f)).
1600*f**4 + 2480*f**2
Suppose 2 = -5*k + 22. Let h(g) = -3*g + 2*g + g - k*g**2. Let w(i) = -2*i**2. What is h(w(d))?
-16*d**4
Let g(a) = 2*a. Let s(o) be the second derivative of o**4/12 - 4*o**3/3 + 3*o + 4. Calculate s(g(m)).
4*m**2 - 16*m
Let z(b) = 2*b**2. Let y(q) = -435*q**2 - 15. What is y(z(u))?
-1740*u**4 - 15
Let y(n) = 3*n**2. Suppose 3*s + 13 = 19. Let h(v) = 2. Let l(o) = -o + 2. Let d(b) = s*l(b) - 2*h(b). Give y(d(z)).
12*z**2
Let x(k) = 2764*k**2. Let t(m) = 2*m**2. Give t(x(c)).
15279392*c**4
Let l(r) = -3*r. Suppose -2*p - 5*b + 26 = 0, 2*p + 3*b + 0*b = 18. Let x(t) = p*t + 0*t - 4*t. Determine x(l(d)).
3*d
Let i(u
|
{
"pile_set_name": "DM Mathematics"
}
|
ourth biggest value in l, 0.3, k, b?
b
Let h = -0.14 + 0.076. Let y = -0.0034 + 0.9394. Let x = h - y. Which is the fourth biggest value? (a) -0.2 (b) 3 (c) x (d) -1/7
c
Let y = 31.282 + -84.726. Let g = 0.056 - y. Let l = g - 53. What is the third smallest value in -3/4, l, 0?
l
Let j = 7831 - 7823. What is the fourth biggest value in -2, -1, -4, -5/6, j?
-2
Let d = 103301.12 - 106101. Let q = d - -2751. Let k = q - -49. What is the third smallest value in 1, k, -4/7?
1
Let d be (-4)/(-15) + 2/6. Let v = 217 + -227. Let r be -5 - 28/v*(-125)/(-60). What is the biggest value in -0.04, r, d, -1/4?
r
Suppose 3*g + 1 - 43 = 0. Let o = 1.762 - 2.262. Suppose 3*i - 1 = -13. What is the biggest value in i, o, g, 4?
g
Let i be 267*(-2)/2 - -3. Let s be 92/i + (-2)/(-12). Let k be 275/22 + -12 + 1. Which is the third smallest value? (a) 3 (b) s (c) k
a
Let y be ((-190)/8)/(-5) + (-31)/(-124). Let t = -954/7 - -136. What is the biggest value in y, t, -7/2?
y
Let m = 19215 + -19216. What is the third biggest value in 2/51, -4, 0.2, m?
m
Let f = 1016.97649 + 0.02351. Which is the second smallest value? (a) -5 (b) 3 (c) f (d) 3/4
d
Let u = -2.1046 - 0.0544. Let n = 0.159 + u. Which is the second biggest value? (a) 1.6 (b) 1 (c) n
b
Suppose -64*b = -61*b + 9*w - 27, -b = -4*w + 40. What is the third biggest value in b, 0, 8?
b
Let m = 0 + -0.3. Let a(t) = -11*t**3 + t**2 - 2*t. Let b be a(1). Let i be (-9)/36 + ((-3)/b - -2). What is the fourth biggest value in 0.2, i, m, -2/7?
m
Let n(y) = -5*y**2 - 129*y - 239. Let r be n(-2). Let x be 2/(-3) - (-8)/30. Which is the smallest value? (a) x (b) 10 (c) r
c
Let m(s) = -2*s**2 - 102*s - 598. Let y be m(-7). What is the fourth smallest value in 3/7, -4, y, 0?
y
Let n be ((-325)/(-120) - 3)*-4 - (-30)/(-20). Which is the fourth smallest value? (a) 19 (b) -1/5 (c) 2/3 (d) n (e) -2/3
c
Let z = -1.6 - -2. Let n be 5*34*(9/2 + -5). Let k = 87 + n. Which is the second smallest value? (a) k (b) -1/2 (c) 0.3 (d) z
c
Let g be (-26)/8 + (-2)/(-8). Let t = -2095.7 + 1922. Let z = -174 - t. Which is the fourth biggest value? (a) g (b) -2/17 (c) 1/5 (d) z
a
Let g = -1815 - -1819. What is the third smallest value in -75, 2/9, g?
g
Let v = -184.12 - -184.6. What is the third biggest value in v, 0.4, 0.7?
0.4
Let j = 68 + -68. Let k = 35 + -37. Let l be (-4 - (-134)/22) + k. Which is the fourth biggest value? (a) 0.4 (b) j (c) -4 (d) l
c
Let z = -7239/5 - -1447. Let t = -1.4 + 2.5. Let k = -0.9 + t. Which is the fourth smallest value? (a) z (b) -2/5 (c) -0.2 (d) k
d
Let o be ((-46)/115)/((-2)/(-10) + (-3)/(-10)). What is the third smallest value in -0.2, -8, o, -1/2?
-1/2
Suppose -h + 5*v = 2, -2*v - 11 + 3 = 4*h. Which is the third biggest value? (a) -5 (b) h (c) 0 (d) -2/3
b
Let y = 23 + -23.3. Let j = y + -4.7. Let h = -1556 + 1552. Which is the second smallest value? (a) j (b) 0.5 (c) h
c
Let m = -14060/3 - -4686. Let y be (-1)/7 - 6/7. Which is the third smallest value? (a) m (b) -0.1 (c) -5 (d) y
a
Let w(y) = -15*y**3 - y**2 + y + 1. Let z be w(-1). Let c(l) = l**3 - 9*l**2 + 21*l + 1. Let n be c(4). What is the third smallest value in z, n, 2/3?
z
Let f(m) be the first derivative of 31*m**2/2 - 115*m + 106. Let d be f(4). Let k = 8 + -5. Which is the third smallest value? (a) k (b) 3/2 (c) d
c
Let j = 0.6 - -0.4. Let q = 399 - 395. What is the biggest value in q, 0.25, j?
q
Let a = 0.1797 + 0.0603. What is the fourth biggest value in -4, a, -2/3, -1/3?
-4
Let z = -12 - -158/13. Let p = -1416 - -9914/7. Which is the fourth biggest value? (a) z (b) -0.4 (c) -0.1 (d) p
b
Suppose -5*s = -l - 21, -57*l = 3*s - 53*l - 8. What is the third smallest value in 1, -0.2, -1/2, s, -6?
-0.2
Suppose 0 = -5*q + 16*q - 1078. Let s = q - 197/2. Let w = 11/18 + s. Which is the third biggest value? (a) w (b) 4 (c) 0.5 (d) -10/7
a
Suppose 0 = u - 3925 + 3920. Which is the biggest value? (a) 0.2 (b) 2/19 (c) -0.51 (d) u
d
Let d = -0.11 + 4.11. Let l be -419 + (0 + 1)*-1. Let b be ((-3)/l - (-1)/7)*4. What is the fourth biggest value in -0.22, b, -5, d?
-5
Let t be 6/(-129) + 40848/27692. Let s = 3172/9 - 352. Which is the second biggest value? (a) t (b) -2/13 (c) s (d) 5
a
Let z = 28 - -38. Let w = z + -66.1. Let q = 5 - 4. Which is the fourth smallest value? (a) -22 (b) q (c) -0.5 (d) w
b
Let l be ((-23)/92)/(663/2037). Let z = l + 4/221. Which is the second biggest value? (a) 3/8 (b) -14/3 (c) -0.2 (d) z
c
Let i = -1387 - -1386. Which is the second biggest value? (a) i (b) 5 (c) -3 (d) 4 (e) 10/17
d
Let i = -0.2 - 0.1. Let x(j) = 3*j**2 + 92*j + 253. Let y be x(-3). Which is the fourth smallest value? (a) y (b) 3 (c) i (d) -6
a
Let s be 477/(-318)*8/66. Which is the smallest value? (a) -346 (b) 2/7 (c) s
a
Let u = 8 - 7. Let h = 7.83 + -0.63. Let j = h + -11.2. Which is the second smallest value? (a) 3 (b) 1/6 (c) j (d) u
b
Let v = 0.01301 - 3.01301. Which is the third smallest value? (a) -5 (b) 7/23 (c) -4 (d) 1/4 (e) v
e
Let p be ((-7)/((-21)/(-2)))/((-32)/1408). What is the biggest value in 2/5, 4, -3, p?
p
Let f = -0.38877 - 0.01123. What is the third smallest value in 18/7, 24, f, -0.5?
18/7
Let s = -7207 + 7211. Which is the second biggest value? (a) 2.01 (b) -0.5 (c) s (d) -2/5
a
Let k = -3279 - -3279.5. What is the smallest value in -2, k, -2052?
-2052
Let w = 12997 + -13019.996. Let s = w - 0.004. Which is the fourth biggest value? (a) s (b) -2 (c) 0 (d) 0.2
a
Let t = -374/1095 + 3/365. Let m = 118 - 123. What is the third smallest value in 8, t, m?
8
Let j = 336.8 - 280.8. Let t = 34 + -31. Which is the fourth biggest value? (a) t (b) j (c) 4 (d) -4
d
Let j = 27 - 71. Let z = -38 - j. Let f = -10 + z. Which is the smallest value? (a) -0.1 (b) -0.5 (c) 1 (d) f
d
Let y be -37 + ((-160)/(-20) - 7). What is the smallest value in y, -1/2, 2/7, -1/3?
y
Let m = -0.2654 - 0.0346. What is the second smallest value in 4, -20, -3/8, m, 1?
-3/8
Suppose -2*f = h + 13, 4*h + 23 = -5*f - 32. Let m be -1 + (-303)/h + (-21)/105. Which is the second biggest value? (a) 2 (b) m (c) -1 (d) -2
a
Let d = 1/1991940685 - -5893298796323/3440081562995. Let q = -33831932/1727 - -19590. Let r = d - q. Which is the second biggest value? (a) 1 (b) 1/4 (c) r
a
Let d be (6/(-50))/((-476)/40 + 11). Suppose 2*s - 15 = 7*s. What is the fourth biggest value in 5, 11, d, s?
s
Let g = 24.194 - 1.194. What is the fourth biggest value in -4, g, 4, -0.01?
-4
Let i = 1753/1300 + -357/325. Let w = 1 - 28. Let p = 59 + w. Which is the smallest value? (a) p (b) 4 (c) i
c
Let m(f) = f**3 - 6*f**2 - f + 1. Let u be m(6). Let o be (-2)/u - (-5)/50. What is the smallest value in -1, o, -7?
-7
Let r = 19516 - 19504.8. What is the second smallest value in 0.4, -0.4, r, -4?
-0.4
Let z = 0.03 + -0.03. Suppose 9 + 0 = -3*r, -45 = 5*f + 5*r. Let k(d) = 5*d + 26. Let o be k(f). Which is the second biggest value? (a) -1 (b) o (c) z
a
Let h = -3.5 - -4. Let g = 1004 - 1654. Let y = g - -647. Which is the second smallest value? (a) 5 (b) y (c) h (d) -2
d
Let t be 2168/(-6)*(-9)/30. Let x(y) = 28*y**2 + 28*y - 59. Let c be x(2). Let b = c - t. What is the second biggest value in 5, -5, b, 2?
2
Let k be 6 + 3 + (-2230)/250. What is the fifth smallest value in 0.4, -4, k, -1, -0.3?
0.4
Let q = -0.5 - -0.3. Let u be (-2 - (-92)/42)*(-567)/756. Let m = 0.08 - 4.08. What is the second biggest value in q, m, u, 0.5?
u
Let p = 0.691 - 0.891. Suppose -8*y = -14 - 2. What is the biggest value in p, 9/2, y, 0.3?
9/2
Let a = 25 + -19. Let o = -35 - a. Let l = 41.2 + o. What is the second smallest value in 0, l, -4?
0
Let b = 7 + 6. Let g = -27 + b. Let n = -13.3 - g. What is the smallest value in -2, 0.2, n?
-2
Let q = -3170.3066 + 3170. Let n = -57.2466 - q. Let k = -57 - n. Which is the second smallest value? (a) k (b) 0 (c) 2/3
b
Let j = 1 + -1. Let r(m) = -m**3 + 9*m**2 - 11*m - 20. Let s be (6 - 136/24)*21. Let c be r(s). What is the second biggest value in c, 4, j?
c
Let r = 8024 - 8023.5. What is the second biggest value in -3/7, r, -147?
-3/7
Let k = -2.1525 - 0.0615. Let q = -0.036 + k. Let v = 0.25 + q. What is the smallest value in -0.4, 4, v?
v
Let g be
|
{
"pile_set_name": "DM Mathematics"
}
|
ose 0 = 16*p - 44*p. Suppose p = 33*g - 10*g - 10833. What is the units digit of g?
1
Suppose -7*s + 5*s + 5*k = -49095, 4*k = -20. What is the units digit of s?
5
Let f = -937 + 943. Let h(k) = -k**2 - 6*k + 6. Let m be h(-7). What is the units digit of 2*m*(f - (-1245)/(-10))?
7
Suppose k - b = 6*k - 11008, -5*k + 2*b = -10999. Suppose -5*p = -18*w + 17*w + 461, -k = -5*w - p. What is the hundreds digit of w?
4
Suppose 3*v + 3*a + 0*a - 9 = 0, -v = -2*a. Suppose 0 = 2*m + 8, -j + v = m + 6. Suppose j*p - p + 109 = 0. What is the units digit of p?
9
Let h = 340 - 344. What is the units digit of -3 - (-685 + h - -2)?
4
Suppose 96 + 24 = -20*v. Let j(h) = -150*h + 194. What is the thousands digit of j(v)?
1
Let d(f) = -17*f**3 + 690*f**2 - 89*f + 35. What is the hundreds digit of d(40)?
4
Let z = -1409 + 2936. Suppose -6*o = -z - 183. What is the tens digit of o?
8
Let v(s) = 78*s**3 - 2*s**2 + 7*s - 10. Let w be v(2). Suppose 5*r - 773 = -3*g, r - 2*g + w = 5*r. What is the hundreds digit of r?
1
Suppose -8*w - 32 = -0*w. Let j(s) = 3*s + 15. Let h be j(w). Suppose t - h*g = 10, -3 = -2*g - g. What is the tens digit of t?
1
Let n(g) = 2*g**2 + 31*g - 14. Let j be n(-16). Suppose j*k = -2*x + 798, 3*x - 1990 = -2*x - 4*k. What is the hundreds digit of x?
3
Suppose -5*c = 351*w - 346*w - 112750, 0 = 5*c - 3*w - 112742. What is the ten thousands digit of c?
2
Let u be (3573/18 + 2)*2. Let j be 1 + 3/((-3)/274). Let o = j + u. What is the hundreds digit of o?
1
Suppose 175 + 155 = 3*w. Let i = -185 + w. Let d = 83 + i. What is the units digit of d?
8
Let s(j) = 19*j**2 + 7*j - 16. Let y be s(7). Suppose 969*r - y*r = 3265. What is the tens digit of r?
5
Suppose 18 = 2*z - 4*p - 6, 5*p = 4*z - 39. Suppose -4*t + z = -6. Suppose -t*k = -7*k + 168. What is the units digit of k?
2
Let l(y) = y**2 - 2*y - 4. Let s be l(5). Suppose -s*f + 90 = -5*f. Suppose 167 = f*o - 958. What is the units digit of o?
5
Let i(v) = -2*v**2 + 22*v - 58. Let g be i(7). What is the hundreds digit of (-2)/(((-20)/(-22520))/(g/8))?
5
Suppose -y + 9 = -4. Let m(j) = j**3 - 11*j**2 - 14*j - 27. Let w be m(y). Let t = -20 + w. What is the units digit of t?
9
Suppose -5*o + 71815 = 5*n, -43121 = -3*o + n + 4*n. What is the units digit of o?
7
Let b(o) = 84*o + 831. What is the hundreds digit of b(20)?
5
Suppose 5 - 10 = -5*h. Let q be 8/36 + (104/18 - h). Suppose 2*a - 4*m = 5*a - 93, 0 = -5*a + q*m + 190. What is the units digit of a?
5
Suppose 26*c + 95459 = 39*c. What is the thousands digit of c?
7
Let x(c) = 27*c - 207. Let b be x(8). What is the units digit of 176273/153 - 1/b?
2
Suppose 49 - 64 = -3*c. Suppose 10 = -5*l, -c*a + l = 4*l + 6. Suppose 122 = 2*z - a*z + 4*r, -3*z + 4*r = -173. What is the units digit of z?
9
Suppose -2*v + 4*p = -4520, -3512 - 5528 = -4*v + 2*p. Let j be (v/50)/((-4)/(-10)). Let w = -24 + j. What is the tens digit of w?
8
Let n be 3/36 - (-79445)/(-60). Let l = -189 - n. What is the thousands digit of l?
1
Let t(u) = -927*u - 2639. What is the hundreds digit of t(-9)?
7
Suppose -5*n - 363 = -2*b, -4*n = -3*b + 628 - 73. Suppose w + 2*w = b. What is the units digit of w?
3
Let w = 177 + -240. Let u be 220*((-1)/(-2))/1. Let a = u + w. What is the units digit of a?
7
Suppose 246*n = 243*n + 24. What is the hundreds digit of -6 + 10 - (-199 - n/4)?
2
Suppose 83 = 29*j + 25. Let h(y) = 60*y**2 - y + 2. What is the hundreds digit of h(j)?
2
Suppose -5368 = -4960*w + 4982*w. Let z be 2 + (-4)/(8/(-1026)). Let b = w + z. What is the hundreds digit of b?
2
Suppose 0 = 20*q - 117 - 23. Suppose 0 = -0*c + q*c - 1309. What is the units digit of c?
7
Let d = 9985 - -16558. What is the ten thousands digit of d?
2
Suppose 3*k = 3*p - p + 2021, 3*p = -k + 692. Let n = k - -47. What is the units digit of n?
4
What is the hundreds digit of 8 + (10 - -3) + 4645?
6
Let l(c) = 2*c - 1. Let b be l(7). Let o be 4 - (-1 + (-15)/6*-2). Suppose -b*z + 52 + 78 = o. What is the units digit of z?
0
Let z(w) = -w + 5. Let x(k) = -k**3 - 17*k**2 + 16*k - 35. Let l be x(-18). What is the units digit of z(l)?
4
Let p(a) = 2*a**2 + 98*a - 387. What is the hundreds digit of p(40)?
7
Let s be 11932/6 + -3*3/(-27). Suppose 0 = -3*m + 12*m - s. Suppose -3*u = -5*v - m - 148, 2*u + 5*v - 246 = 0. What is the tens digit of u?
2
Let y(k) be the second derivative of -k**3/6 - k**2 - 16*k. Let v be y(-10). Suppose -129 = -v*g + 439. What is the tens digit of g?
7
Suppose 4*z - 4*j = 9*z - 6195, -z + 5*j = -1268. What is the units digit of z?
3
Suppose 0 = -7*p + 8256 + 13577. What is the hundreds digit of p?
1
Let r = 106 - 92. Suppose r*i + 5 = 5. Suppose 4*y - 2*v + 5*v - 514 = 0, i = -5*y - 2*v + 639. What is the hundreds digit of y?
1
Suppose 4*s = 2*u + 27 - 157, 4*u - 230 = -2*s. Let v = 147 - u. Let y = v - 27. What is the units digit of y?
1
Suppose -8*u + 549 = -5*u. Suppose -i = -3*d - 44, 2*i = -2*i + 5*d + u. Suppose 0 = 2*w + i - 169. What is the tens digit of w?
6
Let p(j) = -2*j**2 - 8*j. Let g be p(-3). Suppose -3*o - 4*q + 119 = 0, 0 = -g*o + 9*o - 2*q - 125. What is the tens digit of o?
4
What is the ten thousands digit of ((-126)/(-231))/(4/84106)?
1
Suppose -7*k - 20*k = -50679. What is the tens digit of k?
7
Let q = 134 + -134. Suppose q = 17*f + 158 - 1280. What is the units digit of f?
6
What is the units digit of (9/36)/(24/5187552)?
7
Let p be (1/3)/((-137844)/(-27567) + -5). Suppose -5*a + 3*j + 256 - 1528 = 0, 4*a + j = -p. Let b = -112 - a. What is the units digit of b?
3
Suppose 6*g - 14*g + 20279 = -13233. What is the hundreds digit of g?
1
What is the units digit of (4 - (-8 - (-8 + -240)))*(-1 + -41)?
2
Let u(t) = 22036*t - 274. What is the ten thousands digit of u(4)?
8
Suppose 37586 - 5906 = 5*t. Suppose -10*k - t = -17836. What is the tens digit of k?
5
What is the hundreds digit of 93/186*(-2154)/(-3)?
3
Let c(v) = 568*v - 1949. What is the hundreds digit of c(25)?
2
Suppose 7*p + 12 = -37. What is the tens digit of (-2373)/p - 4 - -5?
4
What is the thousands digit of 14753*(1/(-14))/(-3*16/672)?
4
Let c(j) be the third derivative of -5*j**4/24 + j**3 - 3*j**2. Let k be c(2). What is the tens digit of 6*(-42)/k + -4?
5
Suppose 3*u + 0*s + 2973 = 3*s, -5*u - 4955 = 2*s. Let x = -322 - u. What is the hundreds digit of x?
6
Suppose 23*k + 13*k - 14*k - 164978 = 0. What is the units digit of k?
9
Let c be (-1676)/(-10) - (-10)/25. Suppose -7224 - c = -21*v. What is the units digit of v?
2
Let d = -55755 - -89243. What is the hundreds digit of d?
4
Suppose -3*u = 3*z + 330, -4*z + 2*u + 34 - 480 = 0. Let r = z - -501. What is the units digit of r?
0
What is the units digit of (3/((-3)/(-1)))/((-1)/(-3121))?
1
Let j be 1 - -5 - 6/3. Let z be 42/4*(10/6 - 1). What is the units digit of j/(-6) + (-428)/(-12) + z?
2
Suppose -36 = -o + 5*o. Suppose 3*n = 4*w - 87, -10 = -58*n + 60*n. What is the units digit of (-12)/w + (-33)/o?
3
What is the ten thousands digit of ((-54654)/16)/(2*28/(-448))?
2
Let v be (1*76)/(8/16). Let w(t) = 7*t**2 - 2*t + 2. Let c be w(-3). Let o = v - c. What is the tens digit of o?
8
Let s = 24 - -128. Suppose 170 = -6*v + 16*v. Let j = s - v. What is the tens digit of j?
3
Let h(i) = 97*i - 60. Suppose -o + 3*c - 3 = 0, -5*o + 35 + 5 = -4*c. What is the hundreds digit of h(o)?
1
Let t be ((-6)/(-18) - (-4)/(-3)) + -1. Let p be 1 - -2 - (-6)/t. What is the units digit of p/4 + -3 + 0 - -106?
3
Let j = 2418 - 1157. Let g = 523 + j. What is the hundreds digit of g?
7
Let m(w) = w**3 - 4*w**2 - 5*w + 3. Let a be m(5). Suppose -11 = -a*f + 4. Suppose -k + f = 0, -k + 110 = h - 3*k. What is the tens digit of h?
2
Suppose -2*a + 4*q + 7 = -11, 5*a = 2*q + 69. Suppose a*z - 3718 = 4457. What is the hundreds digit of z?
5
Suppose 25 + 2 = 3*u. Suppose -u = -4*r + 11. Suppose 1 = r*w - 84. What is the units digit of w?
7
What is the units digit of 39872/98*(-1729)/(-38)?
2
Let h(t) = 21*t**2 + 5. Let g be 96 + (-14)/(-7)*4/(-2). Let f = g - 95. What is the hundreds digit of h(f)?
1
Let y = -202 - 2. Suppose v - 5*p + 2 + 93 = 0, -243 = 3*v - p. Let u = v - y. What is the units digit of u?
4
Let j be (93 - -3)/(-6) - (1 - 4). Let x = j + 1. What is the hundreds digit of x/5*(-7)/(14/135)?
1
Suppose -619889 = -29*p + 408828. What is the hu
|
{
"pile_set_name": "DM Mathematics"
}
|
ate prob of picking 1 z, 1 v, and 1 e when three letters picked without replacement from vjjzzvejvwvwznzwzz.
1/34
Three letters picked without replacement from bkokbkdkkkkkkksvdkkb. Give prob of picking 1 b, 1 s, and 1 d.
1/190
Calculate prob of picking 3 h when three letters picked without replacement from {h: 4, b: 10}.
1/91
Four letters picked without replacement from eoobtna. What is prob of picking 1 e, 1 t, and 2 o?
1/35
Two letters picked without replacement from klg. Give prob of picking 1 g and 1 l.
1/3
What is prob of picking 2 g and 2 c when four letters picked without replacement from ececcepcceggccecccex?
3/323
Four letters picked without replacement from xxixxxxiqxqx. Give prob of picking 2 q and 2 x.
28/495
Three letters picked without replacement from {e: 1, l: 13, x: 3}. What is prob of picking 1 x, 1 e, and 1 l?
39/680
Calculate prob of picking 1 p and 2 k when three letters picked without replacement from {c: 4, k: 2, i: 1, y: 3, p: 2, q: 2}.
1/182
Calculate prob of picking 3 f and 1 w when four letters picked without replacement from mmkfgkkbkwffmmffk.
1/238
What is prob of picking 1 u and 1 g when two letters picked without replacement from {u: 1, h: 1, g: 1}?
1/3
Four letters picked without replacement from fvcko. What is prob of picking 1 k, 1 v, and 2 c?
0
Calculate prob of picking 1 w, 1 s, and 2 b when four letters picked without replacement from {s: 4, b: 3, w: 5, d: 1}.
12/143
What is prob of picking 1 s and 3 r when four letters picked without replacement from {k: 1, p: 3, h: 3, r: 3, s: 1}?
1/330
Calculate prob of picking 2 a and 2 x when four letters picked without replacement from xaaxxxaxaaxaaaxa.
27/65
Two letters picked without replacement from {v: 9, u: 9}. What is prob of picking 1 u and 1 v?
9/17
What is prob of picking 2 z when two letters picked without replacement from zyzzadzdyzgzzdyzzyz?
5/19
Two letters picked without replacement from psslppljjjsls. What is prob of picking 1 s and 1 l?
2/13
Two letters picked without replacement from pmpp. What is prob of picking 2 m?
0
Calculate prob of picking 2 c when two letters picked without replacement from {q: 2, c: 5, p: 3, t: 2, b: 3}.
2/21
Calculate prob of picking 3 r when three letters picked without replacement from dduurzdurr.
1/120
What is prob of picking 2 m and 1 h when three letters picked without replacement from {m: 8, w: 4, h: 4}?
1/5
Three letters picked without replacement from vuudzzuvduduuvzuvz. What is prob of picking 1 z and 2 d?
1/68
Calculate prob of picking 3 h when three letters picked without replacement from cchcrphhchchrhxhc.
7/136
What is prob of picking 2 j when two letters picked without replacement from {j: 4, t: 10}?
6/91
Calculate prob of picking 2 x when two letters picked without replacement from hhhahvnuxxvn.
1/66
Calculate prob of picking 1 j and 2 q when three letters picked without replacement from jqjqjjjjssjjj.
9/286
Two letters picked without replacement from hdmrldxxmmdhxr. Give prob of picking 1 r and 1 x.
6/91
What is prob of picking 2 n when two letters picked without replacement from qeeqxqnxnnenqqxnnqx?
5/57
Three letters picked without replacement from {j: 3, c: 7}. What is prob of picking 3 j?
1/120
Two letters picked without replacement from {m: 3, i: 3, v: 3, d: 1, g: 3, h: 1}. What is prob of picking 1 v and 1 h?
3/91
Calculate prob of picking 1 v and 2 k when three letters picked without replacement from {u: 3, b: 1, k: 3, v: 4, q: 2, a: 6}.
4/323
What is prob of picking 4 o when four letters picked without replacement from {b: 1, n: 1, o: 1, e: 1, r: 2, i: 2}?
0
Two letters picked without replacement from ssdsefssfsessdfssfss. What is prob of picking 1 e and 1 s?
12/95
Two letters picked without replacement from zzzzzbddzzzmzz. Give prob of picking 1 b and 1 z.
10/91
Four letters picked without replacement from {y: 4, o: 1, c: 1, j: 4, s: 4, t: 1}. What is prob of picking 1 t, 1 y, 1 s, and 1 c?
16/1365
Three letters picked without replacement from {q: 4, k: 4, v: 2, j: 1}. Give prob of picking 1 q and 2 k.
8/55
Three letters picked without replacement from pzzipziucizpzzooo. Give prob of picking 2 z and 1 o.
9/136
Three letters picked without replacement from {i: 2, o: 1, w: 2, a: 4, z: 1}. What is prob of picking 2 a and 1 i?
1/10
What is prob of picking 1 e and 2 c when three letters picked without replacement from {o: 2, e: 3, c: 7}?
63/220
What is prob of picking 3 d when three letters picked without replacement from ocxtdmtxdtxddmxmdtm?
10/969
Calculate prob of picking 1 i and 1 e when two letters picked without replacement from {b: 6, i: 4, e: 3}.
2/13
Calculate prob of picking 2 k and 1 j when three letters picked without replacement from kkjkkkjjkjkjnkj.
24/65
Calculate prob of picking 2 n when two letters picked without replacement from {n: 5, w: 14}.
10/171
Three letters picked without replacement from {m: 4, u: 5, b: 3}. Give prob of picking 1 u and 2 b.
3/44
What is prob of picking 4 l when four letters picked without replacement from klllkkkkllkkk?
1/143
Four letters picked without replacement from googoogooogggg. Give prob of picking 4 o.
5/143
What is prob of picking 1 w and 1 n when two letters picked without replacement from {w: 4, n: 15}?
20/57
Three letters picked without replacement from {x: 1, j: 2, i: 2, n: 7}. Give prob of picking 1 x and 2 j.
1/220
What is prob of picking 1 s and 1 t when two letters picked without replacement from {h: 1, p: 1, j: 3, s: 1, k: 1, t: 5}?
5/66
What is prob of picking 1 r and 1 o when two letters picked without replacement from {a: 1, r: 1, v: 2, o: 3}?
1/7
Four letters picked without replacement from {n: 1, k: 2, c: 7}. What is prob of picking 1 k, 1 n, and 2 c?
1/5
Four letters picked without replacement from {h: 6}. Give prob of picking 4 h.
1
Calculate prob of picking 2 d when two letters picked without replacement from dddvdvdvddv.
21/55
Three letters picked without replacement from hehhhbbfnbflebfbfbfb. What is prob of picking 1 h and 2 f?
2/57
Four letters picked without replacement from vuggffgvuuvvvvvvvggv. Give prob of picking 1 u and 3 v.
24/323
Three letters picked without replacement from {s: 3, a: 1, f: 3}. What is prob of picking 1 a and 2 s?
3/35
What is prob of picking 1 d, 1 s, and 2 x when four letters picked without replacement from {s: 3, v: 1, u: 4, x: 1, d: 2}?
0
Two letters picked without replacement from bbbbbebgnbbzbbb. What is prob of picking 1 b and 1 n?
11/105
Four letters picked without replacement from jllllllljlll. Give prob of picking 2 l and 2 j.
1/11
What is prob of picking 1 s and 1 a when two letters picked without replacement from {a: 2, s: 3}?
3/5
Four letters picked without replacement from ggglgggllgglgl. Give prob of picking 1 l and 3 g.
60/143
Four letters picked without replacement from memmekamm. What is prob of picking 3 m and 1 e?
10/63
What is prob of picking 1 o and 1 a when two letters picked without replacement from {h: 1, o: 1, i: 4, a: 5, z: 3, e: 1}?
1/21
Three letters picked without replacement from {z: 4, b: 2, n: 1, u: 2}. What is prob of picking 1 z and 2 b?
1/21
Two letters picked without replacement from {v: 4, i: 6}. Give prob of picking 2 v.
2/15
Four letters picked without replacement from spsspsssspss. What is prob of picking 1 s and 3 p?
1/55
What is prob of picking 2 x and 1 g when three letters picked without replacement from xmxggmxgxgxxmx?
3/13
Calculate prob of picking 3 s when three letters picked without replacement from {s: 4}.
1
Calculate prob of picking 1 r, 1 q, and 2 h when four letters picked without replacement from vrhhqhvrh.
2/21
Four letters picked without replacement from {a: 2, g: 1, i: 2}. Give prob of picking 1 i, 2 a, and 1 g.
2/5
Two letters picked without replacement from yykyvggkxkvyxggyyyv. What is prob of picking 2 y?
7/57
What is prob of picking 2 q when two letters picked without replacement from uququuuukuuuqquukuqu?
1/19
Calculate prob of picking 2 s when two letters picked without replacement from {t: 1, h: 1, s: 3}.
3/10
Calculate prob of picking 3 v when three letters picked without replacement from {o: 1, q: 4, v: 9}.
3/13
Calculate prob of picking 2 p when two letters picked without replacement from {g: 1, e: 1, f: 4, l: 3, y: 3, p: 3}.
1/35
Two l
|
{
"pile_set_name": "DM Mathematics"
}
|
, -9331?
v - 9334
What is the r'th term of 3, 9, 25, 57, 111, 193, 309, 465?
r**3 - r**2 + 2*r + 1
What is the t'th term of -25714, -25720, -25728, -25738, -25750?
-t**2 - 3*t - 25710
What is the z'th term of -215, -218, -221, -224, -227?
-3*z - 212
What is the u'th term of -267, -1058, -2377, -4224?
-264*u**2 + u - 4
What is the v'th term of 1, 18, 49, 94, 153?
7*v**2 - 4*v - 2
What is the p'th term of -110, -220, -332, -446?
-p**2 - 107*p - 2
What is the m'th term of 15, 30, 45, 60?
15*m
What is the c'th term of 124, 144, 166, 190, 216?
c**2 + 17*c + 106
What is the j'th term of 36, 82, 156, 258, 388, 546, 732?
14*j**2 + 4*j + 18
What is the g'th term of 624, 641, 676, 735, 824, 949, 1116, 1331?
g**3 + 3*g**2 + g + 619
What is the l'th term of -18, -33, -50, -69, -90?
-l**2 - 12*l - 5
What is the r'th term of -2, -3, 6, 31, 78?
r**3 - r**2 - 5*r + 3
What is the i'th term of 9, 9, 1, -21, -63, -131?
-i**3 + 2*i**2 + i + 7
What is the h'th term of -7, -64, -165, -316, -523, -792, -1129?
-h**3 - 16*h**2 - 2*h + 12
What is the h'th term of 440, 910, 1380, 1850, 2320, 2790?
470*h - 30
What is the i'th term of -57, -98, -149, -216, -305, -422, -573, -764?
-i**3 + i**2 - 37*i - 20
What is the u'th term of -106, -121, -126, -115, -82, -21, 74, 209?
u**3 - u**2 - 19*u - 87
What is the b'th term of -732, -734, -736, -738, -740, -742?
-2*b - 730
What is the i'th term of 29, 113, 253, 449, 701?
28*i**2 + 1
What is the h'th term of -165, -328, -491?
-163*h - 2
What is the y'th term of 285, 288, 293, 300, 309, 320, 333?
y**2 + 284
What is the z'th term of -1, 32, 125, 308, 611, 1064, 1697?
5*z**3 - 2*z - 4
What is the u'th term of -107, -414, -925, -1640, -2559, -3682, -5009?
-102*u**2 - u - 4
What is the c'th term of 15, 73, 175, 327, 535?
c**3 + 16*c**2 + 3*c - 5
What is the n'th term of -881, -886, -891, -896, -901, -906?
-5*n - 876
What is the s'th term of -163, -128, -69, 14, 121?
12*s**2 - s - 174
What is the k'th term of -65, -102, -163, -248?
-12*k**2 - k - 52
What is the c'th term of -31, -66, -101, -136?
-35*c + 4
What is the m'th term of -125748, -125751, -125756, -125763, -125772?
-m**2 - 125747
What is the k'th term of -325, -1285, -2891, -5149, -8065, -11645, -15895, -20821?
-k**3 - 317*k**2 - 2*k - 5
What is the a'th term of 7, 13, 29, 61, 115, 197?
a**3 - a**2 + 2*a + 5
What is the l'th term of 25, 35, 45, 55, 65, 75?
10*l + 15
What is the g'th term of -145, -137, -127, -115, -101, -85?
g**2 + 5*g - 151
What is the v'th term of -54, -112, -172, -234?
-v**2 - 55*v + 2
What is the b'th term of 101, 99, 97, 95, 93?
-2*b + 103
What is the i'th term of -3984, -7967, -11960, -15969, -20000?
-i**3 + i**2 - 3979*i - 5
What is the u'th term of 22, 45, 70, 97?
u**2 + 20*u + 1
What is the s'th term of -28, -81, -158, -253, -360?
s**3 - 18*s**2 - 6*s - 5
What is the y'th term of 2870, 2886, 2920, 2978, 3066, 3190, 3356, 3570?
y**3 + 3*y**2 + 2866
What is the i'th term of -41, -81, -123, -167, -213?
-i**2 - 37*i - 3
What is the d'th term of 124, 155, 186?
31*d + 93
What is the u'th term of -7878, -7877, -7876, -7875, -7874, -7873?
u - 7879
What is the y'th term of 401, 819, 1239, 1661, 2085, 2511, 2939?
y**2 + 415*y - 15
What is the p'th term of -55, -54, -53, -52?
p - 56
What is the t'th term of -287, -581, -895, -1235, -1607, -2017, -2471?
-t**3 - 4*t**2 - 275*t - 7
What is the o'th term of -27, -45, -53, -45, -15, 43?
o**3 - o**2 - 22*o - 5
What is the z'th term of 612, 617, 622, 627, 632, 637?
5*z + 607
What is the o'th term of 11, -10, -17, -4, 35, 106, 215, 368?
o**3 + o**2 - 31*o + 40
What is the y'th term of -159, -146, -111, -42, 73, 246, 489?
2*y**3 - y**2 + 2*y - 162
What is the h'th term of -22, -23, -22, -19?
h**2 - 4*h - 19
What is the k'th term of 97, 193, 291, 391, 493, 597?
k**2 + 93*k + 3
What is the r'th term of -8, -14, -22, -32, -44, -58?
-r**2 - 3*r - 4
What is the x'th term of -7, -7, -3, 5, 17, 33?
2*x**2 - 6*x - 3
What is the y'th term of -4, -5, -6?
-y - 3
What is the b'th term of -804, -802, -802, -804, -808, -814?
-b**2 + 5*b - 808
What is the w'th term of 50, 114, 190, 278, 378?
6*w**2 + 46*w - 2
What is the q'th term of 174, 166, 144, 102, 34?
-q**3 - q**2 + 2*q + 174
What is the c'th term of -2335, -4664, -6993, -9322, -11651, -13980?
-2329*c - 6
What is the d'th term of -3, -3, 11, 45, 105, 197?
d**3 + d**2 - 10*d + 5
What is the z'th term of -11664, -11663, -11662, -11661?
z - 11665
What is the y'th term of -50, -193, -428, -755?
-46*y**2 - 5*y + 1
What is the u'th term of 405, 813, 1221?
408*u - 3
What is the n'th term of -128, -87, -46, -5, 36?
41*n - 169
What is the y'th term of 126, 257, 388, 519, 650, 781?
131*y - 5
What is the k'th term of 8, -5, -18, -31, -44, -57?
-13*k + 21
What is the m'th term of -58, -37, 10, 95, 230?
2*m**3 + m**2 + 4*m - 65
What is the w'th term of -22, -25, -36, -61, -106, -177, -280?
-w**3 + 2*w**2 - 2*w - 21
What is the a'th term of -878, -1756, -2634?
-878*a
What is the n'th term of 21100, 21102, 21104, 21106?
2*n + 21098
What is the c'th term of -11, 23, 115, 295, 593, 1039?
5*c**3 - c**2 + 2*c - 17
What is the l'th term of -22, -95, -278, -625, -1190, -2027?
-9*l**3 - l**2 - 7*l - 5
What is the v'th term of 155, 289, 425, 563?
v**2 + 131*v + 23
What is the t'th term of -4, -20, -2, 68, 208?
3*t**3 - t**2 - 34*t + 28
What is the h'th term of -365, -728, -1091, -1454, -1817, -2180?
-363*h - 2
What is the s'th term of 92, 185, 278, 371?
93*s - 1
What is the l'th term of 65, 293, 677, 1211, 1889?
-l**3 + 84*l**2 - 17*l - 1
What is the l'th term of -6595, -6602, -6613, -6628, -6647, -6670?
-2*l**2 - l - 6592
What is the f'th term of 10, 14, 26, 52, 98, 170?
f**3 - 2*f**2 + 3*f + 8
What is the j'th term of 24, 78, 132?
54*j - 30
What is the s'th term of -58, -116, -174, -232?
-58*s
What is the d'th term of -120, -994, -3358, -7956, -15532?
-124*d**3 - d**2 - 3*d + 8
What is the b'th term of -18, -8, 38, 138, 310, 572?
3*b**3 - 11*b - 10
What is the d'th term of -160, -206, -256, -310, -368, -430, -496?
-2*d**2 - 40*d - 118
What is the h'th term of -789, -792, -795?
-3*h - 786
What is the k'th term of -15, -62, -105, -144, -179?
2*k**2 - 53*k + 36
What is the m'th term of -10, -8, -4, 2, 10, 20?
m**2 - m - 10
What is the a'th term of 217, 215, 213, 211, 209, 207?
-2*a + 219
What is the j'th term of -27, -1, 41, 99, 173, 263?
8*j**2 + 2*j - 37
What is the k'th term of -18, -47, -96, -165, -254, -363?
-10*k**2 + k - 9
What is the n'th term of 11045, 11044, 11045, 11048, 11053, 11060?
n**2 - 4*n + 11048
What is the r'th term of 134, 136, 138, 140?
2*r + 132
What is the g'th term of 51, 18, -15, -48?
-33*g + 84
What is the p'th term of -1028, -1029, -1030?
-p - 1027
What is the t'th term of 131, 523, 1177, 2093, 3271, 4711, 6413?
131*t**2 - t + 1
What is the l'th term of 229, 408, 597, 802, 1029, 1284?
l**3 - l**2 + 175*l + 54
What is the s'th term of 7463, 7470, 7477, 7484, 7491, 7498?
7*s + 7456
What is the q'th term of 70, 48, -4, -98, -246, -460, -752, -1134?
-2*q**3 - 3*q**2 + q + 74
What is the a'th term of -2962, -2963, -2964?
-a - 2961
What is the k'th term of 865, 1727, 2591, 3457, 4325?
k**2 + 859*k + 5
What is the w'th term of 91, 181, 271, 361, 451, 541?
90*w + 1
What is the b'th term of -71, -69, -77, -101, -147?
-b**3 + b**2 + 6*b - 77
What is the y'th term of -108, -216, -322, -426?
y**2 - 111*y + 2
What is the p'th term of 73, 104, 147, 196, 245, 288?
-p**3 + 12*p**2 + 2*p + 60
What is the o'th term of 51, 181, 397, 699, 1087, 1561, 2121?
43*o**2 + o + 7
What is the a'th term of -22, -33, -38, -31, -6, 43, 122, 237?
a**3 - 3*a**2 - 9*a - 11
What is the w'th term of -12, -19, -8, 27, 92, 193?
w**3 + 3*w**2 - 23*w + 7
What is the b'th term of -2037, -4061, -6073, -8067, -10037, -11977?
b**3 - 2031*b - 7
What is the b'th term of 6, 8, 10, 12, 14, 16?
2*b + 4
What is the q'th term of 495, 934, 1373, 1812, 2251?
439*q + 56
What is the y'th term of 51, 64, 77?
13*y + 38
What is the u'th term of 77, 159, 245, 335, 429, 527, 629?
2*u**2 + 76*u - 1
What is the n'th term of -107, -99, -91, -83, -75, -67?
8*n - 115
What is the n'th term of 2575, 2576, 2577, 2578, 2579?
n + 2574
What is the j'th term of -71, -134, -209, -302, -419?
-j**3 - 56*j - 14
What is the z'th term of 65, 214, 37
|
{
"pile_set_name": "DM Mathematics"
}
|
82*v - 232.
2*(v - 4)*(v + 1)*(v + 29)
Factor -243*v**3 + 1440*v**2 + 323*v/3 + 2.
-(v - 6)*(27*v + 1)**2/3
Factor -2*w**3 - 46*w**2/3 - 26*w/3 + 14/3.
-2*(w + 1)*(w + 7)*(3*w - 1)/3
What is h in 32*h**5 + 28764*h**4 + 8607604*h**3 + 854283600*h**2 - 970920000*h + 108000000 = 0?
-300, 1/8, 1
Factor -11*p**4/3 - 2*p**3/3.
-p**3*(11*p + 2)/3
What is i in -i**2 + 59*i - 58 = 0?
1, 58
Let s**4 + 27*s**3 + 243*s**2 + 729*s = 0. Calculate s.
-9, 0
Factor -f**4/11 + 69*f**3/11 - 105*f**2 - 1225*f/11.
-f*(f - 35)**2*(f + 1)/11
Factor -2*g**2/13 - 4*g/13.
-2*g*(g + 2)/13
Factor 2*c**2/7 - 44*c/7 - 48.
2*(c - 28)*(c + 6)/7
Determine h, given that 7*h**5/5 - 20*h**4 - 77*h**3/5 + 6*h**2 = 0.
-1, 0, 2/7, 15
Determine n, given that -4*n**4 + 32*n**3 - 84*n**2 + 88*n - 32 = 0.
1, 2, 4
Factor -4*d**4/3 + 397*d**3/3 - 33*d**2.
-d**2*(d - 99)*(4*d - 1)/3
Solve -9*w**5 - 3*w**4 + 69*w**3 - 33*w**2 - 60*w + 36 = 0 for w.
-3, -1, 2/3, 1, 2
Solve 3*g**5 - 15*g**4 - 27*g**3 + 231*g**2 - 336*g + 144 = 0.
-4, 1, 3, 4
Factor -2*z**4/3 + 4*z**3/3 + 38*z**2/3 - 40*z/3.
-2*z*(z - 5)*(z - 1)*(z + 4)/3
Find l such that -l**5 - 3*l**4 + 11*l**3 + 3*l**2 - 10*l = 0.
-5, -1, 0, 1, 2
Determine z, given that -2*z**3/3 - 796*z**2/3 = 0.
-398, 0
Let -y**4/3 - y**3 + 2*y**2/3 + 4*y + 8/3 = 0. What is y?
-2, -1, 2
Factor 5*d**5 - 120*d**4 + 970*d**3 - 2880*d**2 + 2025*d.
5*d*(d - 9)**2*(d - 5)*(d - 1)
Solve 2*d**2/19 - 2*d/19 - 4/19 = 0 for d.
-1, 2
Find c such that c**3 + 9*c**2/2 + 5*c + 3/2 = 0.
-3, -1, -1/2
Factor -4*n**5 - 4*n**4 + 24*n**3 + 56*n**2 + 44*n + 12.
-4*(n - 3)*(n + 1)**4
What is m in 5*m**2/6 + 655*m/6 + 325/3 = 0?
-130, -1
What is l in 25*l**3 - 9660*l**2 + 3860*l = 0?
0, 2/5, 386
Determine c so that c**4 + 9*c**3 - 468*c**2 + 1732*c - 1680 = 0.
-28, 2, 15
Let 2*s**4/7 + 522*s**3/7 + 722*s**2 + 8550*s/7 + 4016/7 = 0. What is s?
-251, -8, -1
Determine z, given that -4*z**2 + 296*z + 1920 = 0.
-6, 80
Solve v**2 + 2*v + 1 = 0.
-1
Factor 3*g**2/2 + 87*g/4 + 117/4.
3*(g + 13)*(2*g + 3)/4
Solve l**3 - 32*l**2 + 209*l + 242 = 0.
-1, 11, 22
Determine q, given that 15*q**4 - 85*q**3 + 170*q**2 - 140*q + 40 = 0.
2/3, 1, 2
Factor -2*u**2/9 - 2*u/9 + 4/3.
-2*(u - 2)*(u + 3)/9
Factor 2*a**5/9 - 4*a**4/9 - 2*a**3/3.
2*a**3*(a - 3)*(a + 1)/9
Let -4*a**4 + 588*a**3 - 6140*a**2 + 21396*a - 24480 = 0. Calculate a.
3, 5, 136
Factor 4*t**3 + 28*t**2 - 644*t + 612.
4*(t - 9)*(t - 1)*(t + 17)
Factor 4*o**3/9 - 182*o**2/9 + 10*o.
2*o*(o - 45)*(2*o - 1)/9
Suppose -s**5/3 - 3*s**4 - 6*s**3 + 18*s**2 + 81*s + 81 = 0. What is s?
-3, 3
Let -4*q**5 - 20*q**4 + 12*q**3 + 164*q**2 + 232*q + 96 = 0. Calculate q.
-4, -2, -1, 3
Determine k so that -2*k**3/7 + 26*k**2/7 + 94*k + 378 = 0.
-7, 27
Find d such that -d**2/3 - 2*d/3 + 16 = 0.
-8, 6
Factor 3*t**4 - 63*t**2 + 60*t.
3*t*(t - 4)*(t - 1)*(t + 5)
Determine o, given that -2*o**3/17 - 1068*o**2/17 - 146754*o/17 - 1106704/17 = 0.
-263, -8
Factor -3*i**3 + 36*i**2 - 63*i + 30.
-3*(i - 10)*(i - 1)**2
Determine l so that l**2/6 + 37*l/6 - 13 = 0.
-39, 2
Let -5*l**4 + 60*l**3 - 105*l**2 + 50*l = 0. What is l?
0, 1, 10
Let 42*k**3 + 495*k**2/2 + 351*k/2 - 60 = 0. Calculate k.
-5, -8/7, 1/4
Determine m, given that m**3/3 + 13*m**2/3 - 10*m = 0.
-15, 0, 2
Determine m so that m**4/11 - 14*m**3/11 + 9*m**2/11 + 56*m/11 - 52/11 = 0.
-2, 1, 2, 13
Suppose 2434*p**2/3 - 812*p + 2/3 = 0. Calculate p.
1/1217, 1
What is x in -54*x**5/13 - 402*x**4/13 - 628*x**3/13 + 448*x**2/13 - 64*x/13 = 0?
-4, 0, 2/9, 1/3
Let -1257698*f**2/11 + 38064*f/11 - 288/11 = 0. What is f?
12/793
Factor -2*t**4/9 - 2*t**3/3 + 26*t**2/9 + 10*t/3.
-2*t*(t - 3)*(t + 1)*(t + 5)/9
Determine m, given that -3*m**4 - 165*m**3 - 624*m**2 - 612*m = 0.
-51, -2, 0
Factor 2*b**2 + 48*b + 88.
2*(b + 2)*(b + 22)
Factor -3*v**2/2 - 6741*v - 15147027/2.
-3*(v + 2247)**2/2
Factor 5*h**2 - 995*h + 990.
5*(h - 198)*(h - 1)
Factor -y**3/5 - 23*y**2/5 - 91*y/5 + 507/5.
-(y - 3)*(y + 13)**2/5
Factor 6*d**4 + 16*d**3 + 6*d**2 - 4*d.
2*d*(d + 1)*(d + 2)*(3*d - 1)
Find d, given that -5*d**5/2 + 5*d**4 - 5*d**3/2 = 0.
0, 1
Solve r**2/5 - 44*r/5 - 9 = 0 for r.
-1, 45
Solve -169*o**4 - 4446*o**3 - 9468*o**2 - 2600*o - 192 = 0 for o.
-24, -2, -2/13
Factor -15*m**2 - 80*m.
-5*m*(3*m + 16)
Suppose -10*y**4 + 126*y**3 + 62*y**2 - 126*y - 52 = 0. What is y?
-1, -2/5, 1, 13
Let -h**5/3 + 2*h**4/3 + 3*h**3 - 14*h**2/3 - 20*h/3 + 8 = 0. Calculate h.
-2, 1, 2, 3
Suppose -v**2 + 253*v = 0. What is v?
0, 253
Factor 3*y**4 + 18*y**3 + 9*y**2 - 30*y.
3*y*(y - 1)*(y + 2)*(y + 5)
Factor -6*r**2/11 + 174*r/11 - 600/11.
-6*(r - 25)*(r - 4)/11
Factor -4*b**2/3 + 76*b/3 + 80/3.
-4*(b - 20)*(b + 1)/3
Factor -3*x**4 + 123*x**3 + 129*x**2 - 123*x - 126.
-3*(x - 42)*(x - 1)*(x + 1)**2
Suppose 5*x**2 - 340*x + 5780 = 0. Calculate x.
34
Let -q**5 - 34*q**4 + 8*q**3 + 272*q**2 - 16*q - 544 = 0. What is q?
-34, -2, 2
Find k such that k**2/12 - 3*k/2 = 0.
0, 18
Factor -3*r**3/7 + 12*r/7.
-3*r*(r - 2)*(r + 2)/7
Determine c, given that -3*c**2 + 330*c - 9075 = 0.
55
Factor -2*q**3/11 + 214*q**2/11 + 434*q/11 + 218/11.
-2*(q - 109)*(q + 1)**2/11
Find f such that -f**2/2 - 3*f/2 - 1 = 0.
-2, -1
What is o in 2*o**3/5 - 2*o**2/5 - 2*o/5 + 2/5 = 0?
-1, 1
Let -8*o**5 - 50*o**4 - 66*o**3 + 140*o**2 + 392*o + 240 = 0. What is o?
-3, -2, -5/4, 2
Solve i**5/4 - 73*i**4/2 + 5329*i**3/4 = 0 for i.
0, 73
Determine b so that -b**4 - 64*b**3 - 517*b**2 + 1230*b - 648 = 0.
-54, -12, 1
What is j in 2*j**4/7 - 38*j**3/7 + 198*j**2/7 - 162*j/7 = 0?
0, 1, 9
Factor 8*n**4 - 278*n**3 + 786*n**2 - 770*n + 254.
2*(n - 1)**3*(4*n - 127)
Factor 5*q**2 + 1760*q - 1765.
5*(q - 1)*(q + 353)
Find g, given that -2*g**3/7 + 32*g**2/7 + 470*g/7 + 1300/7 = 0.
-5, 26
Factor -2*n**2/9 + 3856*n/9 - 1858592/9.
-2*(n - 964)**2/9
Find m such that -2*m**4 + 6*m**3 + 36*m**2 - 80*m = 0.
-4, 0, 2, 5
Solve -31*p**2/4 + 29*p/4 + 1/2 = 0 for p.
-2/31, 1
Factor -p**4/3 + 17*p**3/3 - 79*p**2/3 + 21*p.
-p*(p - 9)*(p - 7)*(p - 1)/3
Find p such that -18*p**3 - 123*p**2 - 159*p + 30 = 0.
-5, -2, 1/6
Suppose -j**5 - 2*j**4 + 7*j**3 + 20*j**2 + 12*j = 0. What is j?
-2, -1, 0, 3
Factor 4*z**2 + 28*z - 32.
4*(z - 1)*(z + 8)
Suppose 2*m**3 - 38*m**2 - 184*m = 0. What is m?
-4, 0, 23
Determine j, given that 2*j**2 - 38*j + 68 = 0.
2, 17
Find t such that 3*t**4/2 + 33*t**3/2 + 48*t**2 + 42*t = 0.
-7, -2, 0
Factor 2*m**2/9 + 20*m/9 + 50/9.
2*(m + 5)**2/9
Factor w**2 + 160*w + 159.
(w + 1)*(w + 159)
What is x in -2*x**5/11 - 24*x**4/11 - 90*x**3/11 - 108*x**2/11 = 0?
-6, -3, 0
Determine r so that 3*r**3 + 447*r**2 - 1824*r + 1836 = 0.
-153, 2
Factor 5*k**5 - 20*k**4 - 175*k**3 + 750*k**2.
5*k**2*(k - 5)**2*(k + 6)
What is c in 27*c**3 - 2154*c**2 - 480*c = 0?
-2/9, 0, 80
Let -5*p**4 + 105*p**3 - 570*p**2 - 100*p + 3000 = 0. Calculate p.
-2, 3, 10
Solve -28*c**4 - 3060*c**3 - 85544*c**2 - 105840*c - 23328 = 0 for c.
-54, -1, -2/7
Suppose -a**5/3 + 5*a**4 - 9*a**3 + 13*a**2/3 = 0. What is a?
0, 1, 13
Let -2*q**5/7 - 2*q**4 - 6*q**3/7 + 46*q**2/7 + 64*q/7 + 24/7 = 0. What is q?
-6, -1, 2
Determine o, given that 45*o**4 + 145*o**3 + 120*o**2 + 20*o = 0.
-2, -1, -2/9, 0
What is q in -2*q**4 - 250*q**3 + 3518*q**2 - 9758*q - 13524 = 0?
-138, -1, 7
Factor r**3/4 + 7*r**2/2 + 35*r/4 - 25/2.
(r - 1)*(r + 5)*(r + 10)/4
Factor 3*c**3 - 96*c**2 + 768*c.
3*c*(c - 16)**2
Determine m, given that 18*m**5/13 - 24*m**4/13 - 16*m**3 + 576*m**2/13 - 480*m/13 + 128/13 = 0.
-4, 2/3, 2
Factor -3*y**2 - 39*y.
-3*y*(y + 13)
What is t in 6*t**3/5 + 508*t**2/5 - 34*t = 0?
-85, 0, 1/3
Solve 2*n**3 - 184*n**2 + 1190*n = 0.
0, 7, 85
Solve g**2/8 + g/2 = 0 for g.
-4, 0
Solve -3*w**2/8 - 207*w/4 - 14283/8 = 0 for w.
-69
Suppose 5*a**2 + 2065*a + 4110 = 0. Calculate a.
-411, -2
Let -2*n**2/23 + 10*n/23 - 12/23 = 0. What is n?
2, 3
Determine m, given that -15*m**3/7 - 123*m**2/7 - 204*m/7 - 36/7 = 0.
-6, -2, -1/5
Find h such that h**2/2 - 62*h + 1922 = 0.
62
Factor -3*x**4 - 3*x**3 + 15*x**2 - 9*x.
-3*x*(x - 1)**2*(x + 3)
Factor 2*j**2/3 + 158*j/3.
2*j*(j + 79)/3
What is f in -21*f**4/2 + 31*f**3 + 3*f**2/2 = 0?
-1/21, 0, 3
Factor v**3/3 - 28*v**2/3 + 9*v.
v*(v - 27)*(v - 1)/3
Suppose o**5/5 - 3*o**4/5 - 33*o**3/5 + 7*o**2 = 0. What is o?
-5, 0, 1, 7
Find x such that 2*x**2 - 482*x + 956 = 0.
2, 239
Find t such that -t**5 + 8*t**3
|
{
"pile_set_name": "DM Mathematics"
}
|
ast common multiple of 110 and r.
550
Let o = -41699961/224 + 186161. Calculate the common denominator of 3/16 and o.
224
Suppose -4*i + 63 + 1 = 0. What is the least common multiple of 2 and 1/(((-12)/i)/(-3))?
4
Let m = -258 + 605. Let h = m - 262. Calculate the least common multiple of h and 5.
85
Suppose 3*r = -3*d + 729, d = 3*r + 189 + 62. Calculate the least common multiple of 5 - (-6)/(30/d) and 9.
54
What is the common denominator of 3/15 - (61/(-10) - (-6)/15) and -79/1764?
8820
Let o = -4427029/38801360 + -84/37309. Calculate the common denominator of 43/192 and o.
12480
Suppose 0 = -2*v - 44 + 42, 3*v = -f + 18. Let y = -18 + 23. Suppose 0 = 4*u - y*g - 80 - 19, -57 = -2*u + 5*g. What is the least common multiple of u and f?
21
Let x = 247061/2 + -131010. Let o = x + 8921. Let m = o + -1401. Calculate the common denominator of m and 75/8.
8
Suppose -5772*s = -5794*s + 9873 - 193. What is the smallest common multiple of 192 and s?
10560
Let t = 18944 - 1704979/90. Find the common denominator of t and -34/369.
3690
Suppose 10632 = -717*p + 721*p. What is the common denominator of -41/18 and (p/(-1287))/2 - (-30)/195?
198
Let x = -41251/18 + 2291. Calculate the common denominator of 80/2013 and x.
12078
Let a = 55973 + -18135133/324. Find the common denominator of 1/12 and a.
324
Let u be (-3)/(-9)*(2 - -79). Let v be 6/u - (-1221)/(-27). What is the least common multiple of (18/(-8))/(v/240) and 6?
12
What is the common denominator of 98/62*10/90 and 77/186?
558
Let p = 1628733/28 - 58171. Calculate the common denominator of 1 - 2/(-8)*-85 and p.
28
Suppose -5*b + 3*h = -77, -8*b - 37 = -9*b - 3*h. Calculate the smallest common multiple of b and 407.
7733
Suppose -6*o + 4*u - 750 = -7*o, -o + 754 = 2*u. Let y = o - 8355/11. What is the common denominator of y and -62/711?
7821
Let a be ((-25)/(-8) + -3)/(60/46552). Let l be (385/3)/(16/12). Let d = l - a. Calculate the common denominator of 1/15 and d.
15
Let n(x) = -272*x - 8087. What is the lowest common multiple of n(-31) and 23?
345
Let l = -77 + 88. Suppose l*s - 3*z - 99 = 6*s, -5*s - z = -87. Calculate the smallest common multiple of s and 4.
36
Let c = 29398 - 29397. Calculate the smallest common multiple of 3425 and c.
3425
Let u = 6894 - 206741/30. Suppose 2*k + 0*k - 1862 = 2*n, -2799 = -3*k + 5*n. Let h = 5461/6 - k. Calculate the common denominator of u and h.
30
Let b be 2 - (-505)/375*-1159 - -6. Let x be (-1 - -5) + 9352/(-6). Let p = b - x. What is the common denominator of p and 89/45?
225
Let f be (-8)/(0 - 4) - 54. Let d be ((-14)/(-8))/(-7)*f. Suppose -5 = -4*x - x, -t - 2*x + d = 0. Calculate the lowest common multiple of 5 and t.
55
Suppose -509*q + 494520 = -457*q. What is the least common multiple of 22 and q?
104610
Suppose -2*k + 50 = 3*k. Let z be ((-2)/k)/((-1)/5). Calculate the common denominator of (194/(-1))/(-4*z) and 11/18.
18
What is the common denominator of 43/403 and 4611/(-930) + -10 - -15?
4030
Let j = 235043/5 + -46864. Let l = j - 6397/45. Calculate the common denominator of 29/7 and l.
63
Suppose -4 = k + 2*a, 2*a - 2 + 6 = -3*k. Suppose -4*z = -u - 128, k = 3*z + z + 3*u - 112. Calculate the least common multiple of z and 3.
93
Suppose 101*a - 25 = 106*a - 5*r, -4*r + 28 = 0. What is the smallest common multiple of 977 and a?
1954
Let z(o) = -o**3 - 3*o**2 + o. Let f be z(-3). Find the common denominator of ((-34)/5)/(2/(-2)) and -14*-26*f/24.
10
Let d = -8 + 19. Suppose 9*g - d*g = -30. Let w = g - 12. What is the least common multiple of 11 and w?
33
Let l(t) = -t**3 + 3*t**2 + 14*t - 16. Suppose -3*v = -120 + 105. Let w = 10 - -8. Calculate the lowest common multiple of w and l(v).
36
Let c(d) = -1178*d - 9415. Calculate the least common multiple of 3354 and c(-8).
10062
Let f be (87/18 - (-2)/12)*1. Suppose 0 = 4*o + 20, -4*o + 70 = -f*y - 7*o. Find the common denominator of y/((-154)/15) - 6/2 and 67/22.
154
Let w(b) = -83*b**3 - b + 2. Let z be w(1). Let p = -78 - z. What is the lowest common multiple of 6 and ((-12)/32)/(1/p)*-6?
18
Let z = -2137/1043 + 4/3129. Calculate the common denominator of -149/96 and z.
672
Let o(l) be the second derivative of -2*l**3 + 4*l**2 + 20*l. Let k be o(4). Calculate the common denominator of (138/k)/(90/(-25)) and -145/18.
72
Let v(h) = h + 10. Let p be v(-4). Suppose -7*l + 3 = -p*l. Calculate the lowest common multiple of l and 38.
114
Suppose -35*a - 2*l = -34*a - 36, 0 = l - 9. Calculate the smallest common multiple of 1444 and a.
12996
What is the common denominator of (-8 - 242/(-12))/(4/3) and (-5)/(225/(-10)) - 4?
72
Let l be -1 + -1 + 8/2. Suppose 0 = -o, -l*u + 2*o + 18 = o. What is the common denominator of (((-93)/u)/1)/(312/(-9)) and 29/12?
312
Let o = -10602 + -9334. Let m = 2412204/121 + o. Find the common denominator of -19/22 and m.
242
Calculate the common denominator of 59/6 and 103/(-444)*(-8)/(-264).
14652
Suppose 20 = 5*w - 0. Suppose 0 = -d - w*u + 13, -d - 3 = 5*u - 19. What is the common denominator of 11/12 and 6/4 - (244/(-12))/d?
12
Let b(z) = 104*z - 1300. What is the lowest common multiple of (1 + -34 + 0)/(-1) + 0 and b(14)?
1716
Let s be 58/667 + (-918)/(-23). What is the smallest common multiple of 16 and 18/12*s/(4/4)?
240
Let t(j) = -9*j - 9. Let l(r) = 5*r - 51. Let x be l(9). What is the lowest common multiple of t(x) and 15?
45
Calculate the common denominator of -80/1881 and 2*(18/(-33) - (-338)/1386).
13167
Let j be 46/(-14)*-1 - (-30)/(-105). Let v be ((-35772)/14 - (-2)/12)*j. Let w = v + 7658. What is the common denominator of w and 43/26?
182
Suppose u - 719 = 2*u - 4*s, u + 725 = -2*s. Let v = u - -8254. Let x = -105505/14 + v. Find the common denominator of -55/14 and x.
14
Suppose -74*z = 256 - 700. Let g = 4 + 14. What is the least common multiple of g and z?
18
Let p be (-1449)/30 - (-12)/40. Find the common denominator of -2 + 17/p + 3 and 67/16.
48
Let b = 13 - -4. Let c = 18 - b. Suppose 6*v - 65 - c = 0. What is the least common multiple of 8 and v?
88
Let q = 168751/22740 - 8/1895. Find the common denominator of q and (-34)/119 - 8/(-16)*(-3896)/(-252).
36
Let j = -1575/37 - -951855/22348. Find the common denominator of -15/2114 and j.
4228
Let s = -2584 + 7769/3. Calculate the common denominator of -22/19 and s.
57
What is the least common multiple of 4688 and (3/(-2))/((-196)/480 - (-7)/21)?
23440
Suppose 35 = 5*p - 4*g, 0 = 3*p - 0*p - 2*g - 23. Suppose 8*j = p*j + 45. Calculate the common denominator of 109/28 and (j/10)/((-423)/183 - -3).
28
Suppose 2*c + 2*m - 686 = -2*c, 2*c - 348 = 4*m. Calculate the smallest common multiple of 46 and c.
3956
Suppose -t + 105 = 4*t. Let c = 335 + 70. Suppose -11*z = -2*z - c. Calculate the least common multiple of t and z.
315
Let m(b) = b**2 - 9*b + 18. Let r be m(5). What is the common denominator of r/8*-2*(-13)/20 and -29/56?
280
Suppose -5*r - 11 = 4*w, 2*w + 2*r + 2*r = -4. Let j(s) = -s**3 + 25*s**2 - 47*s + 26. Let p be j(23). What is the least common multiple of 8 and p*3*w/(-36)?
8
What is the common denominator of 12013/3993 - (196/882)/((-2)/(-27)) and 82/2541?
27951
Let d(k) = 5*k + 116. Suppose 40*x - 31*x = -189. Calculate the least common multiple of 11 and d(x).
11
Let u = 16050 - 15819. Calculate the lowest common multiple of 9 and u.
693
Let c = -103 + 202. Let o = c - 87. Calculate the least common multiple of 8 and o.
24
What is the common denominator of (2/14)/((-4560)/(-35644)) and ((-5)/36)/((-10)/(-255))?
120
Let y be -3*(3/(-1) + 2). Calculate the least common multiple of 44 and ((-216)/(-96))/(y/48).
396
Let m = 1920 + -1898. Calculate the lowest common multiple of m and 88.
88
Let b be 11/(-2)*(-7 + 9) + -1. Let n be (198/(-27))/(2/b). Let v = 54 - n. What is the smallest common multiple of v and 5?
10
Let w = -6661618939/2790 + 2387677. What is the common denominator of 11/6 and w?
2790
Let t = 3482764/112189 + -1460/47. What is the common denominator of t and -6/1705?
11935
Calculate the common denominator of 75/3664 and (-355)/(-994)*92/(-5).
25648
Let j = 23582322503/8452 + -2790147. Calculate the common denominator of j and -59/18.
76068
Let o(g) = -4*g - 3*g**2 + 0*g - 2 - 2*g**3 + g. Let n(p) = -14*p**2 - 99*p - 9. Let l be n(-7). What is the smallest common multipl
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{
"pile_set_name": "DM Mathematics"
}
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s the second derivative of -14348288*l**3 + 104534*l + 111 wrt l?
-86089728*l
What is the first derivative of 26*j**2 + 638063*j + 256634813 wrt j?
52*j + 638063
Find the first derivative of -3*p**2*v - 2*p**2 + p*v + 106539*p + 16746563*v wrt p.
-6*p*v - 4*p + v + 106539
Find the third derivative of -28636154*p**3 - 1063*p**2 + 1327 wrt p.
-171816924
What is the derivative of 7380*t**4 + 68*t**3 - 3*t - 14380603 wrt t?
29520*t**3 + 204*t**2 - 3
Find the second derivative of -2484615*k**2*u**3 - k*u**3 - 28*k*u**2 + 48*u**2 + 1 wrt k.
-4969230*u**3
What is the third derivative of n**5 - 55987*n**4 - 745524*n**2 + 3?
60*n**2 - 1343688*n
What is the third derivative of 150134417*o**5 + 61283977*o**2 wrt o?
9008065020*o**2
Find the first derivative of -802*b**2*i**2 - 3045891*b**2*s + 336*b**2 - b*i**2*s + 2*b*i + 10*i wrt s.
-3045891*b**2 - b*i**2
What is the third derivative of -2900657*b**4 - 7*b**3 - 9*b**2 - 72525*b wrt b?
-69615768*b - 42
Find the second derivative of -152133657*q*w**2 - 890*q*w - 10443*q - 5*w + 2 wrt w.
-304267314*q
What is the third derivative of 775102397*p**3 - 2102776*p**2 - 150 wrt p?
4650614382
Find the second derivative of 4*o**5 + 181*o**4 - 850*o**2 - 1514418*o + 9 wrt o.
80*o**3 + 2172*o**2 - 1700
Find the first derivative of 244339*x**2 + 40*x - 405172580 wrt x.
488678*x + 40
Find the first derivative of 16614*n**3*u + 6260*n**2*u**2 + 45102586*u**2 - 2 wrt n.
49842*n**2*u + 12520*n*u**2
Find the second derivative of a**2*l**2 - 4900471*a**2 + 332878*a*l + 3*l**2 + 2*l wrt a.
2*l**2 - 9800942
What is the third derivative of 28951*f**5 + 8*f**4*t**3 + 57*f**2*t**3 + f**2*t**2 + 124*f**2*t - 141*t**3 wrt f?
1737060*f**2 + 192*f*t**3
Find the third derivative of 51694816*o*z**3 - 6*o*z**2 + 4969*o*z + 125*o wrt z.
310168896*o
Find the third derivative of 4047325*r**3 + 315738*r**2 + 2*r - 12 wrt r.
24283950
Find the first derivative of -146062474*y + 877289542.
-146062474
Find the first derivative of 27949*k**4 - 17*k**3 - k**2 + 15631690 wrt k.
111796*k**3 - 51*k**2 - 2*k
Find the second derivative of -135*b**2*h**3*i - 230911*b**2*i**2 + 11*b*h**3*i**2 + 98*b*h**3*i + 230*b*h**2*i + 2*b*i + 2*h**3*i**2 + h*i**2 wrt b.
-270*h**3*i - 461822*i**2
What is the derivative of -y**3 + 22*y**2 + 4375*y - 1309668 wrt y?
-3*y**2 + 44*y + 4375
Find the first derivative of 40*c*i*y**2 - 86845*c*y - 2507*i*y**2 + i*y + 1021*y**2 + 2*y wrt c.
40*i*y**2 - 86845*y
What is the third derivative of -5*f**3*u**3 + 1496356*f**3*u**2 + 5*f**3*u - 3785986*f**2*u**3 - 2*u**3 wrt f?
-30*u**3 + 8978136*u**2 + 30*u
Find the second derivative of 572729490*k*w**2 - 39913*k*w + 36*k + 2*w - 5 wrt w.
1145458980*k
Find the third derivative of -19681*f**2*h**3*u - f**2*h - 3*f**2 + f*h*u + 36*h**3*u**3 + 11*h**2 + 156*h*u**3 - 7*u**2 wrt h.
-118086*f**2*u + 216*u**3
What is the third derivative of -16*w**6 + 326675*w**5 + 6560902*w**2 + 2*w wrt w?
-1920*w**3 + 19600500*w**2
Differentiate 7010923*p + 3465876.
7010923
What is the second derivative of -114023911*d*j**2 - 25*d + 15*j + 407961 wrt j?
-228047822*d
Differentiate -55*b**3*w**4 - 448369*b**3*w + 22306276*b**3 wrt w.
-220*b**3*w**3 - 448369*b**3
What is the second derivative of 2901122*m**5 + 2*m**2 - 8847110*m wrt m?
58022440*m**3 + 4
Find the second derivative of -55294420*k**3*u**2 - 652*k**3 - 40912*k**2*u wrt u.
-110588840*k**3
Differentiate -86323693*l*w + 596242934*w with respect to l.
-86323693*w
What is the third derivative of 102782*b**6 - 812*b**3 + 2*b**2 - 215625336*b?
12333840*b**3 - 4872
Find the first derivative of -363*s**2*u - 45935*s*u**2 - 5492706*u**2 + 2*u - 4 wrt s.
-726*s*u - 45935*u**2
What is the second derivative of 10166917*i**2*s**2 + i*s**2 - 2347969*i*s wrt i?
20333834*s**2
What is the first derivative of -49022*l*p**2 + 5*l*s**3 - 14*l*s + p**2 + 7486*p*s**3 - 8*p*s**2 + 316*s**2 wrt l?
-49022*p**2 + 5*s**3 - 14*s
Differentiate -14*j*q*z**3 + 35*j*q*z - 6847007*j*z + 16*q*z**3 + 3*z**3 with respect to q.
-14*j*z**3 + 35*j*z + 16*z**3
What is the second derivative of 25822076*u**5 - 34603*u + 78?
516441520*u**3
Find the second derivative of 4306347*j**2*o + j*o - 96266*j + 24 wrt j.
8612694*o
Differentiate 1143183*c**2*d - c*d - 16*c + d + 40398091 wrt c.
2286366*c*d - d - 16
Differentiate -25555724*d**4*m - 2*d*m + 49*m + 4626204 with respect to d.
-102222896*d**3*m - 2*m
What is the third derivative of 19559824*g**5 - 30592793*g**2 wrt g?
1173589440*g**2
Find the second derivative of -3*z**3 - 13188172*z**2 + 154*z - 111064 wrt z.
-18*z - 26376344
What is the first derivative of 50*k**3*q + 128925*k**3 + 35963*k**2*q - 25 wrt q?
50*k**3 + 35963*k**2
Differentiate 15133029*b**2 - b + 58494337.
30266058*b - 1
What is the second derivative of -8421334*k**2 - 4202226*k?
-16842668
What is the derivative of -15417*c**3 - 9054*c - 714513959?
-46251*c**2 - 9054
Find the second derivative of -6154052*t**4 + 626940*t.
-73848624*t**2
Find the first derivative of -1616277*m**2 + 2*m - 12039613.
-3232554*m + 2
What is the derivative of 15*a**4 + 102*a**3 + 2539*a**2 + 66813082 wrt a?
60*a**3 + 306*a**2 + 5078*a
Find the second derivative of -3606*p**5 + 18152*p**4 + 644*p + 380115.
-72120*p**3 + 217824*p**2
Find the third derivative of -2*i*z**4 - 4764*i*z**3 - 5*i*z**2 + 1327090*i*z - 92*z**4 - 3*z**2 wrt z.
-48*i*z - 28584*i - 2208*z
Find the second derivative of 5122*p*w**3 + 71*p*w**2 - 145983*p*w + 57*w**3 + 104*w - 2 wrt w.
30732*p*w + 142*p + 342*w
What is the second derivative of 3*d**2*f**3*k**2 - 2*d**2*f**3*k - 530*d**2*f*k - 16949*d**2*f - 5949108*f**3*k**2 wrt k?
6*d**2*f**3 - 11898216*f**3
Find the third derivative of 7956634*m**4 - 521*m**2 - m + 216 wrt m.
190959216*m
What is the second derivative of -43496*r**4 - 4*r**3 + 23*r**2 - 4611*r - 1840 wrt r?
-521952*r**2 - 24*r + 46
Differentiate 234622*a**3 - 3*a - 96387804 wrt a.
703866*a**2 - 3
What is the first derivative of 460*x**3 + 65*x**2 + 507*x - 232372 wrt x?
1380*x**2 + 130*x + 507
Find the second derivative of 459192148*d**2*l + 1190*d*l - 89*d + 3*l wrt d.
918384296*l
Find the second derivative of 2113*p**5 - 6456*p**3 - 95504012*p wrt p.
42260*p**3 - 38736*p
What is the third derivative of -684171794*c**3*y - c**2*y + 4*c**2 + 14*y + 283478 wrt c?
-4105030764*y
What is the second derivative of 27633818*p**2 - 2*p + 26791625?
55267636
Find the third derivative of -2*b**4*q - 59127*b**3*q**2 - 17*b**3*q + 12*b**2*q**2 - 2*b**2 - 224461*q**2 wrt b.
-48*b*q - 354762*q**2 - 102*q
Find the third derivative of 1071634*k**4*s + 255*k**3*s + 26182*k**2*s + 1443*s wrt k.
25719216*k*s + 1530*s
What is the third derivative of 8242940*n**5 + n**2 + 629534*n?
494576400*n**2
Differentiate 1167668*l**2 - 9426568 with respect to l.
2335336*l
Find the second derivative of 360337076*t**3 + 478758122*t.
2162022456*t
Differentiate -142*f**3 - 4*f**2*r + 50*f**2 + f*r - 1598*r + 4167 with respect to f.
-426*f**2 - 8*f*r + 100*f + r
Find the third derivative of 40629895*g**2*v**4 + g**2*v**2 + 2*g**2*v - 5*g*v**5 - 2*g*v**2 + g*v + 58386*v**2 - 3 wrt v.
975117480*g**2*v - 300*g*v**2
What is the derivative of -16693887*a + 172700015 wrt a?
-16693887
What is the second derivative of 298879843*s**4 - 97240364*s wrt s?
3586558116*s**2
What is the second derivative of 1688688*c**3 + 6*c**2 - c + 7983033?
10132128*c + 12
What is the derivative of -2935*h**4*r**2 - 410*h**2*r**3 + 1589*r**3 - 9836*r wrt h?
-11740*h**3*r**2 - 820*h*r**3
Find the second derivative of 1449*q**5 - 909*q**4 - 822055*q + 28.
28980*q**3 - 10908*q**2
What is the second derivative of 306*d**3*u**2 + 93*d**3*u - d**3 + 3*d**2*u**2 + 2*d**2*u + 4*d**2 + 1930*d*u**2 - d*u - 2*u**2 + 248*u wrt u?
612*d**3 + 6*d**2 + 3860*d - 4
What is the second derivative of -10785*o**3 - 175*o**2 - 410758*o - 6 wrt o?
-64710*o - 350
What is the third derivative of 22687081*j**3*q**3 - 6*j**2*q**3 + 176824*j**2*q wrt j?
136122486*q**3
What is the first derivative of -40453887*j*m**3*z + 1288710663*j*m**2 + m**3 wrt z?
-40453887*j*m**3
Differentiate 258*x**3 + 6435*x**2 + 2*x + 281774467 with respect to x.
774*x**2 + 12870*x + 2
Find the second derivative of -298358354*m**4 + 8982570*m - 6 wrt m.
-3580300248*m**2
Differentiate -7049713*i - 1586009 wrt i.
-7049713
|
{
"pile_set_name": "DM Mathematics"
}
|
term of 1705, 1488, 1221, 880, 441?
-4*i**3 - i**2 - 186*i + 1896
What is the o'th term of 819040, 1638098, 2457158, 3276220?
o**2 + 819055*o - 16
What is the j'th term of -21853862, -21853883, -21853904, -21853925, -21853946?
-21*j - 21853841
What is the l'th term of 1155709, 2311423, 3467139, 4622857?
l**2 + 1155711*l - 3
What is the s'th term of -679650, -680338, -681026, -681714?
-688*s - 678962
What is the x'th term of -64353, -124272, -184183, -244080, -303957, -363808, -423627?
x**3 - 2*x**2 - 59920*x - 4432
What is the i'th term of -356429, -356426, -356431, -356444, -356465, -356494, -356531?
-4*i**2 + 15*i - 356440
What is the d'th term of 7742502, 7742495, 7742500, 7742523, 7742570, 7742647, 7742760?
d**3 - 14*d + 7742515
What is the d'th term of -17836795, -35673591, -53510387, -71347183, -89183979, -107020775?
-17836796*d + 1
What is the y'th term of 8067, 7745, 7235, 6555, 5723?
3*y**3 - 112*y**2 - 7*y + 8183
What is the b'th term of -52346, -418122, -1410946, -3344342, -6531834, -11286946, -17923202?
-52254*b**3 + 2*b - 94
What is the h'th term of -137065, -548507, -1234327, -2194525, -3429101, -4938055, -6721387?
-137189*h**2 + 125*h - 1
What is the b'th term of 1495, 419, -1373, -3875, -7081, -10985?
b**3 - 364*b**2 + 9*b + 1849
What is the o'th term of -31595, -126385, -284371, -505553, -789931, -1137505, -1548275?
-31598*o**2 + 4*o - 1
What is the u'th term of -29664, -59338, -89012, -118674, -148312?
2*u**3 - 12*u**2 - 29652*u - 2
What is the x'th term of 397, 1791, 4187, 7585, 11985, 17387?
501*x**2 - 109*x + 5
What is the y'th term of -10547, -42250, -95149, -169292, -264727?
-8*y**3 - 10550*y**2 + 3*y + 8
What is the g'th term of 2639820, 2639819, 2639816, 2639811, 2639804, 2639795?
-g**2 + 2*g + 2639819
What is the i'th term of 1271, 481, -329, -1165, -2033, -2939, -3889?
-i**3 - 4*i**2 - 771*i + 2047
What is the q'th term of 3476, 968, -1542, -4054, -6568, -9084?
-q**2 - 2505*q + 5982
What is the d'th term of -1698343, -1698337, -1698331, -1698325?
6*d - 1698349
What is the y'th term of 197917, 395770, 593563, 791302, 988993, 1186642?
y**3 - 36*y**2 + 197954*y - 2
What is the i'th term of -612803, -612784, -612765?
19*i - 612822
What is the t'th term of 705, 2777, 6171, 10839, 16733, 23805, 32007?
-8*t**3 + 709*t**2 + t + 3
What is the c'th term of -31642, -117632, -260948, -461590, -719558, -1034852, -1407472?
-28663*c**2 - c - 2978
What is the j'th term of 12211, 48829, 109871, 195349, 305275, 439661, 598519, 781861?
2*j**3 + 12200*j**2 + 4*j + 5
What is the l'th term of 3484007, 13936030, 31356071, 55744130, 87100207?
3484009*l**2 - 4*l + 2
What is the h'th term of 1301718, 2603425, 3905132, 5206839?
1301707*h + 11
What is the p'th term of 13768, 28701, 43634, 58567, 73500, 88433?
14933*p - 1165
What is the s'th term of 312758, 1251067, 2814914, 5004299?
312769*s**2 + 2*s - 13
What is the y'th term of 828110, 828198, 828286, 828374, 828462?
88*y + 828022
What is the l'th term of 639173, 639181, 639199, 639233, 639289?
l**3 - l**2 + 4*l + 639169
What is the x'th term of 21891, 50598, 79305, 108012, 136719, 165426?
28707*x - 6816
What is the a'th term of 34824, 69665, 104504, 139341, 174176, 209009?
-a**2 + 34844*a - 19
What is the f'th term of 729, 895, 1187, 1605, 2149?
63*f**2 - 23*f + 689
What is the j'th term of -5652, -5650, -5628, -5580, -5500, -5382, -5220?
j**3 + 4*j**2 - 17*j - 5640
What is the l'th term of 286795, 286633, 286471?
-162*l + 286957
What is the u'th term of -26764, -53539, -80314, -107089?
-26775*u + 11
What is the o'th term of 112820, 225688, 338556?
112868*o - 48
What is the r'th term of 2513, 4159, 6903, 10745, 15685?
549*r**2 - r + 1965
What is the s'th term of 291, 3004, 10411, 24870, 48739?
393*s**3 - 11*s**2 - 5*s - 86
What is the q'th term of 370152, 370195, 370288, 370455, 370720, 371107?
4*q**3 + q**2 + 12*q + 370135
What is the y'th term of 4812754, 4812717, 4812656, 4812571?
-12*y**2 - y + 4812767
What is the w'th term of -17470290, -34940603, -52410914, -69881223, -87351530, -104821835, -122292138?
w**2 - 17470316*w + 25
What is the l'th term of 190846014, 190846016, 190846018, 190846020, 190846022?
2*l + 190846012
What is the c'th term of 130996, 261738, 392480, 523222, 653964, 784706?
130742*c + 254
What is the m'th term of 2476314, 4952308, 7428302?
2475994*m + 320
What is the k'th term of 16164755, 16164766, 16164799, 16164866, 16164979, 16165150, 16165391?
2*k**3 - k**2 + 16164754
What is the z'th term of -2094, -2946, -4368, -6360, -8922, -12054, -15756?
-285*z**2 + 3*z - 1812
What is the w'th term of 693573, 1387146, 2080719, 2774292, 3467865, 4161438?
693573*w
What is the m'th term of -573680, -573671, -573662, -573653, -573644?
9*m - 573689
What is the q'th term of -11013, -21811, -32631, -43473, -54337?
-11*q**2 - 10765*q - 237
What is the q'th term of -954, -918, -824, -672, -462, -194?
29*q**2 - 51*q - 932
What is the q'th term of -895, -1921, -2947?
-1026*q + 131
What is the x'th term of -27189, -108761, -244733, -435117, -679925, -979169, -1332861?
-2*x**3 - 27188*x**2 + 6*x - 5
What is the o'th term of -1702, -5396, -11160, -18994?
-1035*o**2 - 589*o - 78
What is the g'th term of 2641, 4613, 6599, 8599, 10613, 12641, 14683?
7*g**2 + 1951*g + 683
What is the w'th term of 4603, 36704, 123845, 293548, 573335, 990728, 1573249, 2348420?
4587*w**3 - 2*w**2 - 2*w + 20
What is the d'th term of -2532, -5113, -7694, -10275, -12856, -15437?
-2581*d + 49
What is the q'th term of 178, 802, 2500, 5806, 11254, 19378, 30712, 45790?
89*q**3 + 3*q**2 - 8*q + 94
What is the o'th term of -16150, -48538, -80926, -113314, -145702, -178090?
-32388*o + 16238
What is the r'th term of 3921, 8014, 12121, 16248, 20401, 24586?
r**3 + r**2 + 4083*r - 164
What is the o'th term of 86076936, 86076935, 86076934?
-o + 86076937
What is the f'th term of -19540, -78041, -175502, -311923?
-19480*f**2 - 61*f + 1
What is the u'th term of -157201, -157150, -157091, -157018, -156925, -156806, -156655?
u**3 - 2*u**2 + 50*u - 157250
What is the c'th term of 404, 1728, 4138, 7790, 12840, 19444?
26*c**3 + 387*c**2 - 19*c + 10
What is the o'th term of -11806267, -11806268, -11806269, -11806270?
-o - 11806266
What is the m'th term of -105033, -104997, -104949, -104883, -104793, -104673, -104517?
m**3 + 29*m - 105063
What is the f'th term of 658, 2047, 5696, 12733, 24286?
188*f**3 + 2*f**2 + 67*f + 401
What is the g'th term of -6158, -6017, -5910, -5837, -5798, -5793?
-17*g**2 + 192*g - 6333
What is the g'th term of -96791467, -96791457, -96791443, -96791425, -96791403, -96791377?
2*g**2 + 4*g - 96791473
What is the q'th term of -2005702, -2005679, -2005656?
23*q - 2005725
What is the h'th term of -9241, -9780, -10319, -10858, -11397?
-539*h - 8702
What is the g'th term of -1666580, -3333150, -4999720, -6666290, -8332860?
-1666570*g - 10
What is the o'th term of 170264, 170544, 170824, 171104?
280*o + 169984
What is the b'th term of -344918, -345034, -345226, -345494, -345838, -346258, -346754?
-38*b**2 - 2*b - 344878
What is the s'th term of 1236188, 1236169, 1236150, 1236131, 1236112, 1236093?
-19*s + 1236207
What is the h'th term of 11396886, 22793779, 34190672?
11396893*h - 7
What is the d'th term of -1297, -2497, -3521, -4285, -4705?
14*d**3 + 4*d**2 - 1310*d - 5
What is the p'th term of 32382993, 64765987, 97148981, 129531975, 161914969?
32382994*p - 1
What is the j'th term of -12306, -24420, -36530, -48642, -60762, -72896, -85050?
-j**3 + 8*j**2 - 12131*j - 182
What is the n'th term of -7589979, -15179957, -22769935, -30359913, -37949891, -45539869?
-7589978*n - 1
What is the l'th term of 92779072, 92779073, 92779074, 92779075, 92779076, 92779077?
l + 92779071
What is the q'th term of 401903, 401919, 401943, 401981, 402039, 402123?
q**3 - 2*q**2 + 15*q + 401889
What is the a'th term of 296265234, 296265232, 296265230?
-2*a + 296265236
What is the r'th term of -2797633, -5595262, -8392891, -11190520, -13988149?
-2797629*r - 4
What is the x'th term of -39788120, -39788119, -39788120, -39788123, -39788128, -39788135, -39788144?
-x**2 + 4*x - 39788123
What is the y'th term of -3559, -7079, -10599?
-3520*y - 39
What is the k'th term of -5079, -9921, -14763, -19611, -24471?
-k**3 + 6*k**2 - 4853*k - 231
What
|
{
"pile_set_name": "DM Mathematics"
}
|
/5) assuming i is positive.
i**(226/111)
Simplify (z**(1/4))**(3/4)/(z**(1/3)/z*z)**(-22) assuming z is positive.
z**(361/48)
Simplify ((r**(4/3)*r)/r**(2/21))**(-36) assuming r is positive.
r**(-564/7)
Simplify (j/j**(-1/3))/(j*j/j**(-3))*j**(-1/6)*j**(-1/6) assuming j is positive.
j**(-4)
Simplify ((g*g/(g*((g*g/(g/(((g**(1/3)*g)/g)/g)))/g)/g))/(g/(g/g**(-4/9))))/(g**0*g)**(-23/5) assuming g is positive.
g**(347/45)
Simplify (a/a**31)/(a*a/a**30) assuming a is positive.
a**(-2)
Simplify ((x**(1/3)*x)/x)**(-45)*(x/(x**8/x))/x*x**(-2/17) assuming x is positive.
x**(-376/17)
Simplify ((d/d**(2/7))/d)**(11/6)*d**(-4)*d**(1/3) assuming d is positive.
d**(-88/21)
Simplify (d**2)**(-35) assuming d is positive.
d**(-70)
Simplify (h**(-2/17)*h)/h**4*(h**10*h)/(h**(3/5)/h) assuming h is positive.
h**(704/85)
Simplify ((h*h**(-2)*h)/h**(-2))/(h**(-2/13)/h**(-2/7)) assuming h is positive.
h**(170/91)
Simplify ((t*t**(1/5)/t)/(t*t/(t/t**(2/15))))/(t/(t*t**(-6))*t*(t/(t*t**4)*t)/t) assuming t is positive.
t**(-59/15)
Simplify (r**1)**1*(r**(1/3)/r*r)**(-1/2) assuming r is positive.
r**(5/6)
Simplify l**(-10/9)/l**(-4/3) assuming l is positive.
l**(2/9)
Simplify t**(-32)*t**(-6/13) assuming t is positive.
t**(-422/13)
Simplify (x**(2/15)/x**0)**(-12) assuming x is positive.
x**(-8/5)
Simplify (r/(r*r/(r/((r*r/r**(-1/9))/r*r*r)*r))*r*r**7)/(r*r/r**1)**(-1/13) assuming r is positive.
r**(698/117)
Simplify (u**(1/4)*u)**(24/13)*(u**(1/2))**6 assuming u is positive.
u**(69/13)
Simplify (m*m**1*m*m*m)**(-3/5)*(m*m**0)**26 assuming m is positive.
m**23
Simplify ((z*z/z**1)/z)**(-2/9)/((z**(-3/2)*z*z)/(z**(-6/7)/z)) assuming z is positive.
z**(-33/14)
Simplify (v/v**(3/2))/v**16 assuming v is positive.
v**(-33/2)
Simplify (c/(c*c*c**(-11)))/c*(c/((c/(c/(c*c/(c**(1/22)*c*c)))*c*c*c)/c))/c assuming c is positive.
c**(155/22)
Simplify (l**(-2)/l)**(-19)/(l*l**(-1)*l*l/(l/(l**(-4)/l))) assuming l is positive.
l**61
Simplify y/(y/(((y/y**(-4))/y)/y*y))*y**(1/3) assuming y is positive.
y**(13/3)
Simplify (w/(w/(w*(w*w/w**4*w*w)/w))*w/w**(-3/2))**(-4/17) assuming w is positive.
w**(-10/17)
Simplify w**(2/53)*w*w*w/((w/(w*w**(-16)*w))/w) assuming w is positive.
w**(-581/53)
Simplify (((b*b*b/(((b*b**2)/b)/b*b))/b)**(-20))**(-46) assuming b is positive.
1
Simplify (s**(-4)*s**(-2)/s)/(s**3/s**(-5/4)) assuming s is positive.
s**(-45/4)
Simplify (l*l**(-3/5))/(((l/(l*l**(2/9)*l*l*l))/l)/l)*(l/((l*l**0)/l))**42 assuming l is positive.
l**(2143/45)
Simplify (c/(c*c*c/(c**(-1/2)*c)))**(4/17)/((c*(c**3*c)/c)/c*c/(c/c**(-2)*c)) assuming c is positive.
c**(-6/17)
Simplify (((b/b**1)/b)**46)**(-22/7) assuming b is positive.
b**(1012/7)
Simplify (t**(-3/8))**(-40) assuming t is positive.
t**15
Simplify (v/(v/(v*v/(v*v*(v*v/(v**(14/9)*v*v))/v*v)))*v/(v**(-4)/v))**5 assuming v is positive.
v**(340/9)
Simplify (l**(-1))**(-16)*(l*l**(-3/5)/l*l)**43 assuming l is positive.
l**(166/5)
Simplify f/((f/((f**8*f)/f*f*f))/f)*f*f*f*f**(1/14)*(f**(-7/6)*f)/f**10 assuming f is positive.
f**(82/21)
Simplify (w/(w*w**(-2/7)))**(-26)/(w**(1/9)/(w/w**4)) assuming w is positive.
w**(-664/63)
Simplify (y/(y/(y**(-1/2)/y)*y))**(-10/11)*y**(-10)/y*y*y**(1/5) assuming y is positive.
y**(-414/55)
Simplify ((p**(1/2)/p)**(2/25))**(-1/4) assuming p is positive.
p**(1/100)
Simplify (n/((n**(4/9)/n)/n*n))/n**(-16) assuming n is positive.
n**(158/9)
Simplify ((k/k**0)**(-31))**(-6) assuming k is positive.
k**186
Simplify (b/(b**(1/13)*b*b)*b*b**(-11)/b)/(b**(-11)*(b/(b/(b**(-1)/b)))/b) assuming b is positive.
b**(25/13)
Simplify ((v/v**(-6/11))/v)/v**(-1/4)*v*v**(-1)*v*v**(-1/5)/v assuming v is positive.
v**(131/220)
Simplify a/(a*a*a**(-9/5)*a*a)*a**(-2/7) assuming a is positive.
a**(-52/35)
Simplify ((z**(2/15)*z)**(1/20))**(-4/7) assuming z is positive.
z**(-17/525)
Simplify (h**9/(h/(h/h**(-2/33))))**(4/17) assuming h is positive.
h**(1196/561)
Simplify ((h/h**(1/2))/h*h**(-1/5))**37 assuming h is positive.
h**(-259/10)
Simplify (t*(t/t**(-9))/t)**(5/17) assuming t is positive.
t**(50/17)
Simplify ((n*(n*n**(-1/6)*n)/n*n)**(-25))**(-21) assuming n is positive.
n**(2975/2)
Simplify (((b/((b**(-7)*b)/b))/b)/b)/b*b*b/(b*(b/(b*b**4))/b)*b**5/(b**(1/8)*b) assuming b is positive.
b**(119/8)
Simplify (g*g/(g/g**(-2)*g))**(-46)/(g**1*g)**(-3/7) assuming g is positive.
g**(650/7)
Simplify (t**2)**42/((t**(-1/2)/t)/(t**10*t)) assuming t is positive.
t**(193/2)
Simplify (x**(-3)/x)**10 assuming x is positive.
x**(-40)
Simplify (r/(r*r**(1/7))*r/(r*r**(-3)))**(1/40) assuming r is positive.
r**(1/14)
Simplify (l*l**(-6))/(l/(l**(-8/7)/l))*l/(l/(l/((l*l**(-10)*l)/l)))*l**(3/2)*l*l assuming l is positive.
l**(75/14)
Simplify (k**(-10)/k**(1/4))**(-3/7) assuming k is positive.
k**(123/28)
Simplify ((z**(1/12)*z)/z)**(1/16) assuming z is positive.
z**(1/192)
Simplify (q/(q*((q*q/(q/((q/q**(2/29))/q)))/q)/q)*q**19)**(-10) assuming q is positive.
q**(-5820/29)
Simplify k*(k*k**(-4)*k)/k*k*k**(-1/13)*k/(k*k/(k/(k**(-8)*k))*k)*k**(-4)*k assuming k is positive.
k**(25/13)
Simplify (a**(1/4)*a)**(-39)/((a*a/(a*a/a**(-3/5)))/(a/(a**(2/7)/a))) assuming a is positive.
a**(-6501/140)
Simplify k**(-2/19)/k*k**(1/23)/k assuming k is positive.
k**(-901/437)
Simplify (f/f**8*f**(-1/5))**(-49) assuming f is positive.
f**(1764/5)
Simplify c**(3/7)*c*c**(-1)*c**(-3)/c*(c*c*c*c**(-3)*c*c)/c assuming c is positive.
c**(-18/7)
Simplify (f**0)**(-11/2)/((f/(f**(-5)/f*f))/(f/((f/(f*f/(f**(-1/4)*f*f))*f)/f)*f)) assuming f is positive.
f**(-19/4)
Simplify (d*d**19)/(d*d**(5/6)) assuming d is positive.
d**(109/6)
Simplify ((p*p**3)/((p*p*p/p**(-1/5))/p))**(-14/9) assuming p is positive.
p**(-14/5)
Simplify ((a*a**(-1/2)*a)**(-9/8))**41 assuming a is positive.
a**(-1107/16)
Simplify (q*q/q**(-8))**(-2/5) assuming q is positive.
q**(-4)
Simplify (((n/(n*n**(-2/9)))/n)**(-33))**(-3/19) assuming n is positive.
n**(-77/19)
Simplify (p**(-1/2)*p/p**(-2)*p)/(p/(p/(p/(p*p*p**(2/3)))))**11 assuming p is positive.
p**(131/6)
Simplify ((p**(-2/3))**(-41))**(-24) assuming p is positive.
p**(-656)
Simplify r**(2/23)/r**(-1/5)*r**(-1/4)*r/r**(-1/7)*r assuming r is positive.
r**(7019/3220)
Simplify (q/q**(5/2)*q)/(q/(q/((q/(q/(((q*q**(1/6)*q)/q)/q)))/q))*q) assuming q is positive.
q**(-2/3)
Simplify ((k/(k**(-1/2)*k))/k*k)**(-2/7)*(((k/(k*k**(-2/3))*k)/k*k)/k)/(k**4/k) assuming k is positive.
k**(-52/21)
Simplify (i**(1/4))**(-34)/(i**5/i**(2/3)) assuming i is positive.
i**(-77/6)
Simplify (q*(((q/(q/(q/(q*q**(-2)/q)*q))*q)/q)/q)/q*(q**6*q)/q)/(q**(-2/3)*q**(-2)) assuming q is positive.
q**(35/3)
Simplify r**(-17)/r*r**(2/25) assuming r is positive.
r**(-448/25)
Simplify ((a/(a/(a/(a**5*a))))/((a*a**(-6))/a))**50 assuming a is positive.
a**50
Simplify (g*g**(2/9)*g)**11 assuming g is positive.
g**(220/9)
Simplify (y*(y*y/(y/(y/(y**(-2/9)/y*y)*y)))/y)/y*y*y**(-2/7)*y*y*(y/(y/y**(-1)))**50 assuming y is positive.
y**(-2839/63)
Simplify (o**(-6)/o**2)/(o**(-3/10)/(o/(o*o*o**(2/9)*o*o*o))) assuming o is positive.
o**(-1073/90)
Simplify i**9/i**(2/5) assuming i is positive.
i**(43/5)
Simplify (v*v**(-1/4)*v*v*v**(-2)/v*v)/(v/(v*(v/(v*(v*v**2)/v))/v))**(4/17) assuming v is positive.
v**(3/68)
Simplify ((y/y**(-1/2))/y)/((y**14/y*y)/y) assuming y is positive.
y**(-25/2)
Simplify (v**0)**(-11/4)*(v*v**1*v)**(-50) assuming v is positive.
v**(-150)
Simplify t/(t/(((t**(-18/5)*t)/t)/t))*t**(-32) assuming t is positive.
t**(-183/5)
Simplify ((h/(h/(h*h**(-3/5))))/h)**46 assuming h is positive.
h**(-138/5)
Simplify h**0*h*(h/(((h*h**22)/h)/h))/h assuming h is positive.
h**(-20)
Simplify (p*p**(-2/3)*p)**(-2/43)/((p*p/(p*p**(-2/17)))/p**(2/7)) assuming p is positive.
p**(-13723/15351)
Simplify z**(-2/33)*z**(-12)/z assuming z is positive.
z**(-431/33)
Simplify (h/(h**(10/3)/h))**10 assuming h is positive.
h**(-40/3)
Simplify (z*(z**(1/3)*z*z)/z)**32/(z**(-1/5)/z**(2/5)) assuming z is positive.
z**(1129/15)
Simplify ((c**(1/15)/c)/(c*c**(5/2)))/((c**(1/4)/c)/(c*c*c*c**(-2/9)*c*c*c)) assuming c is positive.
c**(377/180)
Simplify n/n**(-6)*n*n**10*n assuming n is positive.
n**19
Simplify (b*b/(b**4*b*b)*b)/b**(-4)*b**(1/3)*b*b/(b/(b**0/b*b)*b*b) assuming b is positive.
b**(1/3)
Simplify (o/o**(1/8))**(-3/20) assuming o is positive.
o**(-21/160)
Simplify (f**(3/7))**31 assu
|
{
"pile_set_name": "DM Mathematics"
}
|
95, -39, 47, 169?
g**3 - 5*g - 139
What is the w'th term of 397, 407, 423, 445, 473, 507?
3*w**2 + w + 393
What is the a'th term of -89, -101, -119, -143, -173, -209?
-3*a**2 - 3*a - 83
What is the x'th term of 171, 167, 153, 123, 71?
-x**3 + x**2 + 171
What is the t'th term of 3, 57, 221, 555, 1119, 1973?
10*t**3 - 5*t**2 - t - 1
What is the m'th term of 17, 56, 121, 212?
13*m**2 + 4
What is the n'th term of -102, -391, -872, -1545, -2410, -3467, -4716?
-96*n**2 - n - 5
What is the h'th term of 2564, 5132, 7700, 10268, 12836?
2568*h - 4
What is the h'th term of 96, 418, 968, 1752, 2776, 4046, 5568?
h**3 + 108*h**2 - 9*h - 4
What is the q'th term of -17, -39, -65, -95, -129?
-2*q**2 - 16*q + 1
What is the o'th term of -138, -276, -414?
-138*o
What is the f'th term of 35, 27, 15, -1, -21, -45?
-2*f**2 - 2*f + 39
What is the f'th term of -114, -73, -4, 93, 218, 371, 552?
14*f**2 - f - 127
What is the c'th term of -10148, -10149, -10150, -10151, -10152?
-c - 10147
What is the p'th term of 5708, 5705, 5700, 5693, 5684?
-p**2 + 5709
What is the j'th term of 62, 50, 14, -58, -178, -358, -610, -946?
-2*j**3 + 2*j + 62
What is the x'th term of 784, 1575, 2370, 3169, 3972, 4779?
2*x**2 + 785*x - 3
What is the z'th term of 16, 4, -20, -62, -128, -224, -356?
-z**3 - 5*z + 22
What is the m'th term of -31, -130, -295, -526, -823, -1186, -1615?
-33*m**2 + 2
What is the g'th term of -2487, -2488, -2489, -2490, -2491, -2492?
-g - 2486
What is the s'th term of 35, 70, 105, 140, 175?
35*s
What is the v'th term of 4, 7, 10, 13, 16?
3*v + 1
What is the y'th term of -2, -11, -20?
-9*y + 7
What is the s'th term of -17, -41, -91, -179, -317, -517?
-2*s**3 - s**2 - 7*s - 7
What is the v'th term of 4, 4, -4, -20, -44?
-4*v**2 + 12*v - 4
What is the t'th term of -8, -25, -64, -137, -256, -433, -680, -1009?
-2*t**3 + t**2 - 6*t - 1
What is the s'th term of -141, -12, 187, 450, 771, 1144?
-s**3 + 41*s**2 + 13*s - 194
What is the r'th term of -51, -91, -131, -171?
-40*r - 11
What is the c'th term of -771, -770, -769, -768, -767?
c - 772
What is the s'th term of -625, -1247, -1865, -2479, -3089, -3695, -4297?
2*s**2 - 628*s + 1
What is the g'th term of -65, -122, -179, -236?
-57*g - 8
What is the f'th term of 245, 961, 2161, 3851, 6037, 8725?
f**3 + 236*f**2 + f + 7
What is the j'th term of -28, -38, -48?
-10*j - 18
What is the b'th term of 5, -16, -57, -124, -223, -360?
-b**3 - 4*b**2 - 2*b + 12
What is the n'th term of -270, -1085, -2442, -4341, -6782, -9765, -13290?
-271*n**2 - 2*n + 3
What is the c'th term of -1709, -3420, -5129, -6836?
c**2 - 1714*c + 4
What is the j'th term of -6, -8, -46, -138, -302, -556?
-3*j**3 + 19*j - 22
What is the u'th term of -154, -253, -426, -679, -1018, -1449?
-u**3 - 31*u**2 + u - 123
What is the k'th term of 573, 569, 563, 555, 545?
-k**2 - k + 575
What is the d'th term of 674, 681, 688, 695?
7*d + 667
What is the u'th term of -25, -16, -5, 8, 23, 40, 59?
u**2 + 6*u - 32
What is the n'th term of 6612, 13219, 19824, 26427?
-n**2 + 6610*n + 3
What is the i'th term of 6, 3, 0, -3, -6, -9?
-3*i + 9
What is the o'th term of 90, 94, 100, 108?
o**2 + o + 88
What is the l'th term of 228, 442, 656?
214*l + 14
What is the h'th term of 23, 144, 339, 602, 927, 1308, 1739?
-h**3 + 43*h**2 - h - 18
What is the n'th term of 959, 961, 963, 965, 967?
2*n + 957
What is the j'th term of -7809, -7810, -7811, -7812, -7813, -7814?
-j - 7808
What is the q'th term of -69, -15, 125, 393, 831, 1481, 2385?
7*q**3 + q**2 + 2*q - 79
What is the q'th term of -308, -304, -296, -284?
2*q**2 - 2*q - 308
What is the t'th term of 844, 839, 834, 829, 824, 819?
-5*t + 849
What is the u'th term of 5, 12, 15, 14, 9, 0, -13?
-2*u**2 + 13*u - 6
What is the f'th term of 0, -4, -30, -90, -196, -360, -594, -910?
-2*f**3 + f**2 + 7*f - 6
What is the m'th term of -33, 9, 79, 189, 351?
2*m**3 + 2*m**2 + 22*m - 59
What is the t'th term of -1118, -2233, -3348, -4463, -5578, -6693?
-1115*t - 3
What is the z'th term of -17, -79, -197, -377, -625, -947, -1349, -1837?
-z**3 - 22*z**2 + 11*z - 5
What is the y'th term of 61, 126, 179, 214, 225, 206, 151, 54?
-y**3 + 72*y - 10
What is the j'th term of -8, -60, -146, -260, -396, -548?
j**3 - 23*j**2 + 10*j + 4
What is the t'th term of -48, -64, -80?
-16*t - 32
What is the v'th term of 90, 88, 86, 84?
-2*v + 92
What is the k'th term of -139, -140, -141, -142?
-k - 138
What is the x'th term of 4, 31, 102, 235, 448, 759, 1186, 1747?
3*x**3 + 4*x**2 - 6*x + 3
What is the j'th term of -377, -380, -385, -392, -401, -412?
-j**2 - 376
What is the w'th term of 300, 595, 890?
295*w + 5
What is the a'th term of -3219, -3226, -3245, -3282, -3343, -3434?
-a**3 - 3218
What is the f'th term of -5, 8, 21, 34, 47?
13*f - 18
What is the s'th term of -7257, -14514, -21771, -29028?
-7257*s
What is the h'th term of 192, 131, 72, 15, -40, -93, -144?
h**2 - 64*h + 255
What is the c'th term of -2232, -4465, -6698?
-2233*c + 1
What is the r'th term of -348, -701, -1054, -1407?
-353*r + 5
What is the n'th term of 788, 799, 818, 845, 880, 923?
4*n**2 - n + 785
What is the n'th term of -34, -55, -102, -187, -322, -519, -790, -1147?
-2*n**3 - n**2 - 4*n - 27
What is the w'th term of -1359, -1345, -1333, -1323, -1315, -1309?
-w**2 + 17*w - 1375
What is the d'th term of -92, -185, -278, -371?
-93*d + 1
What is the b'th term of 7855, 7858, 7861, 7864?
3*b + 7852
What is the u'th term of -3373, -3367, -3359, -3349, -3337, -3323?
u**2 + 3*u - 3377
What is the y'th term of 1987, 1976, 1959, 1936?
-3*y**2 - 2*y + 1992
What is the k'th term of 15, -12, -65, -150, -273, -440, -657?
-k**3 - 7*k**2 + k + 22
What is the g'th term of 3361, 3297, 3247, 3217, 3213, 3241, 3307, 3417?
g**3 + g**2 - 74*g + 3433
What is the o'th term of -8, 27, 78, 139, 204, 267, 322?
-o**3 + 14*o**2 - 21
What is the d'th term of -23, -45, -71, -95, -111, -113?
d**3 - 8*d**2 - 5*d - 11
What is the z'th term of 466, 457, 442, 421?
-3*z**2 + 469
What is the m'th term of 33, 54, 75, 96, 117?
21*m + 12
What is the r'th term of 991, 3962, 8913, 15844?
990*r**2 + r
What is the f'th term of 1194, 4767, 10720, 19053, 29766?
1190*f**2 + 3*f + 1
What is the j'th term of 8, -5, -38, -97, -188?
-j**3 - 4*j**2 + 6*j + 7
What is the k'th term of 155, 164, 187, 230, 299, 400, 539, 722?
k**3 + k**2 - k + 154
What is the l'th term of 53, 60, 29, -34, -123?
l**3 - 25*l**2 + 75*l + 2
What is the k'th term of -30, -32, -30, -24, -14, 0?
2*k**2 - 8*k - 24
What is the r'th term of 2, -4, -14, -28, -46?
-2*r**2 + 4
What is the u'th term of -116, -181, -246, -311?
-65*u - 51
What is the q'th term of -53035, -53029, -53011, -52975, -52915?
q**3 - q - 53035
What is the m'th term of 182, 357, 532, 707?
175*m + 7
What is the f'th term of -204, -201, -198?
3*f - 207
What is the d'th term of -41, -49, -65, -89, -121?
-4*d**2 + 4*d - 41
What is the v'th term of 57, 222, 493, 870, 1353, 1942?
53*v**2 + 6*v - 2
What is the f'th term of 16, 22, 32, 46, 64?
2*f**2 + 14
What is the s'th term of -11, -24, -45, -74, -111, -156?
-4*s**2 - s - 6
What is the w'th term of 4, -24, -94, -218, -408, -676?
-2*w**3 - 9*w**2 + 13*w + 2
What is the n'th term of -201, -199, -195, -189?
n**2 - n - 201
What is the j'th term of 12, 16, 12, 0, -20?
-4*j**2 + 16*j
What is the a'th term of 2568, 5135, 7702, 10269, 12836?
2567*a + 1
What is the i'th term of -10, -22, -32, -40, -46?
i**2 - 15*i + 4
What is the l'th term of -14, -2, 22, 58, 106, 166?
6*l**2 - 6*l - 14
What is the l'th term of -31, -130, -295, -526, -823, -1186?
-33*l**2 + 2
What is the z'th term of -176, -269, -374, -497, -644, -821, -1034?
-z**3 - 86*z - 89
What is the y'th term of 188, 773, 1756, 3143, 4940?
y**3 + 193*y**2 - y - 5
What is the x'th term of 18, 47, 78, 111, 146, 183, 222?
x**2 + 26*x - 9
What is the r'th term of -99, -233, -365, -495, -623, -749?
r**2 - 137*r + 37
What is the o'th term of -1665, -3330, -4995, -6660?
-1665*o
What is the z'th term of -3354, -3351, -3348, -3345, -3342?
3*z - 3357
What is the l'th term of 2861, 2858, 2855, 2852?
-3*l + 2864
What is the p'th term of -13, -35, -73, -133, -221, -343, -505, -713?
-p**3 - 2*p**2 - 9*p - 1
What is the c'th term of 7, 14, 23, 34?
c**2 + 4*c + 2
What is the b'th term of -42, -26, 10, 72, 166, 298, 474?
b**3 + 4*b**2 - 3
|
{
"pile_set_name": "DM Mathematics"
}
|
m.
3
Let z = -1092 + 1099. Solve 0*f - 3 = -2*u - f, -3*u - f + z = 0 for u.
4
Suppose 76 = 5*r - 399. Let x = r + -76. Solve j - 4*b + 11 = -3, 5*j - 3*b + x = 0 for j.
-2
Let o be (-6 + (-117)/18)*-2. Solve -w + 4*m = o, -5*m + 45 = -5*w - m for w.
-5
Suppose -8*m + 135 = 7*m. Suppose -v = -m*v + 136. Suppose 0 = c + c - 46. Solve -c = -z - 5*i, z - v = 2*z - 5*i for z.
3
Let w(u) = -6*u + 13. Let o be w(-5). Suppose -44*v + o*v + 2 = 0. Solve 0 = -3*b - 5*p - 25, v*b - 4*p = -p + 15 for b.
0
Let r be (1*0/1)/(-2). Let l(m) = -m**3 - 2*m**2 + 3*m + 9. Let v be l(0). Suppose -12 = v*z - 12*z. Solve r = z*x + 2*c + 6, -2*x - c - 13 = 2*c for x.
1
Let j be (-3)/((-3)/(4 + 5)). Solve x - 5*x + j = i, i + 5*x - 11 = 0 for i.
1
Let a(s) = -s**3 - 2*s**2 + 5*s + 6. Let u be a(-3). Solve o - 1 = -2*k, u = -3*k - 0*k for o.
1
Let s = -12 - -11. Let n = 9 - s. Suppose -u + n = u. Solve 6*q = 2*q - 5*x - 21, 3*x = u*q - 20 for q.
1
Let z = 1185 + -1185. Solve -m + 9 = -4*r - 2, z = -m + 3 for r.
-2
Let u be ((-4)/6)/((-2)/9). Solve 2*h + 5 = -g, 0 = u*h - g - 3*g - 9 for h.
-1
Let c = 4 + 1. Suppose 0 = -c*r + 2*m, m + 4*m = 5*r. Let n = 4 - r. Solve 0 = b + n*f - 15, 3*f = -0*b - b + 10 for b.
-5
Let l(r) = -4*r**3 - 3*r**2 - r. Let z be l(-1). Solve 5*j + 5*k = -0*j + 25, 2 = 2*j - z*k for j.
3
Suppose 5*r + 11 - 31 = 0. Solve 4*p - 5*p + 3*h = 2, -r*p + 5*h = 1 for p.
1
Let u be ((-42)/15)/(4 - (-63)/(-15)). Suppose -35 = -u*k + 21. Solve 4*p + 1 = 3*b + k, 0 = b - 3 for p.
3
Suppose 0 = -x + 28 - 26. Let k(r) be the third derivative of r**4/8 - r**3/3 + 3*r**2. Let c be k(6). Solve 5*i + a + c = 0, -i + x*a - 16 = i for i.
-4
Suppose -6*b = -5*b - 5. Suppose b = -n + 2*n. Solve h + 0 = -n*t + 7, 0 = -t - 4*h - 10 for t.
2
Let d be (-17 - -7) + 1 - -15. Solve m - 4*x - 12 = -d, 4*x = -8 for m.
-2
Suppose -4*j = -3*s + 16, -j + 17 = 3*s - 6*j. Suppose -2*t + 29 = -3*l, s*t - 4*l - 64 = -0*l. Solve -5*a + 3 = 2*r + t, -4*a = 16 for r.
2
Let v = 3 + -1. Suppose 0 = -v*x - 5*d + 14, x - 26 = -2*x - 5*d. Solve 2*f = 5*a + 4*f - 25, -a + 3*f = x for a.
3
Let b be 8/36 + (-124)/(-9). Let g be (8/14)/(2/b). Solve -2*u + 2*w - 14 = w, 40 = -g*u + 5*w for u.
-5
Let y be 4*2/(-12)*(-18)/4. Let f be y + 1*(1 - 0). Solve -13 = 2*m + 3*d - 4, 4*d + 8 = -f*m for m.
3
Suppose p - 10 = -o, -4*p - 2*o + 28 = -2. Let u(f) = -f + 9. Let j be u(5). Suppose -2 = -j*x + 6. Solve 3*n - 4*d = 18, -p*d - 9 - 2 = x*n for n.
2
Let z = 37 - 54. Let l = -21 - z. Let m be (4 - l)*(-1)/(-2). Solve 0 = 3*c - 3, m*k + c - 16 = 5*c for k.
5
Suppose 3*p = -4*k + 19, -3 = -2*p - 1. Solve 2 = -2*a - k*c, 0*a = -5*a - 3*c + 2 for a.
1
Suppose -2*a - 8 + 22 = -2*k, -16 = 4*k. Solve 0 = 5*h - 4*q + 4 + 2, a*q = 5*h + 2 for h.
2
Let v(n) = -n**3 + 14*n**2 - 33*n + 7. Let s be v(11). Solve -10*w + 8*w = h + 9, s = -2*w + h for w.
-4
Let o(d) = d**2 + 6*d - 5. Let z be o(-7). Suppose 5*k - 8 = y - 0*y, -4 = -z*k. Solve 2*c + 2*c + 2 = -y*p, -5*p + c + 6 = 0 for p.
1
Let u = -385 + 390. Solve l - 5*t = -5, 4*t = -u*l + 2*l - 15 for l.
-5
Let c be 75*((-13)/(-5) - 3). Let t = c + 35. Solve 0 = -2*k + t*q, -q = -3*k + 3*q + 7 for k.
5
Let y be (-10)/(-8) + (-176)/(-64). Solve 2*w + 1 = -r, -2*w - y*r = -2*r for w.
-1
Let u = 1740 + -1737. Solve -17 = -u*h + c - 5*c, -3*h = c - 11 for h.
3
Let b be -2 - 5/((-10)/12). Let i = 1103 - 1101. Solve -b*j - 14 = -a, -4*a + 2 = i*j - 0 for j.
-3
Let l be (1/2 - 3)*(-8)/(-10). Let i be (-9)/l*2/3. Solve 6 = 3*v - r, 3*v = 2*r + 9 - i for v.
2
Let a = 37 - 33. Suppose 0 = 4*y - 7 - 9. Suppose 2*w + y*t + 12 = 0, -5*w - 5*t - 6 = a. Solve 0 = 5*o - 25, -w*f + 5*o - 23 = -0*o for f.
1
Let w = 613 + -606. Solve -3*h - 2*l - w = 0, 2 = -4*h + 2*l - 12 for h.
-3
Let g = 0 + 2. Let k(z) be the first derivative of -z**2 - 6*z + 26. Let v be k(-7). Solve v = 4*c - g*u + 7*u, c = -5*u + 17 for c.
-3
Suppose 4 = -10*g + 4. Solve -4*r + 4*d = -g*r + 8, d = -2*r - 10 for r.
-4
Let s = 179 - 176. Let b(k) = 0*k**3 - 4*k**2 + k**2 + 4 + 2*k**3 + 3*k. Let o be b(s). Solve -3*r - 4*z - 5 + o = 0, 2*r = 4*z - 10 for r.
5
Let k = -1534 + 1548. Solve -k = -5*r + 1, 5*z - 22 = r for z.
5
Let b = -36 + 62. Suppose 18 = -4*f + b. Solve 0 = -3*r - 6, -r + 4*r = -f*u for u.
3
Suppose -2*y - 1 = -7. Suppose -y*u - 2 = -11. Suppose 4*b - 22 = -i + 2, -2*i + 2*b + 38 = 0. Solve 4 = u*a - c, -6*c = -c + i for a.
0
Let v(a) = -a**3 + 20*a**2 - 21*a + 43. Let n be v(19). Solve 4*o = -3*p + 28 - n, -o + 7 = p for p.
5
Let r(x) = 2*x**2 + 4*x + 1. Let s be r(3). Let v = 33 - s. Solve -g + 4*q = -8, -2*g - 2*q = v + 2 for g.
0
Suppose 0 = 5*i - 86 + 56. Let n = 2 - -10. Let u = -7 + n. Solve -23 + u = -3*a - h, i = 2*h for a.
5
Suppose 5 = -38*q + 43*q. Solve 0*g - q = 3*f - 2*g, 0 = -2*f + 5*g - 19 for f.
3
Let d be 5/((-75)/(-18))*5. Suppose d - 14 = -2*g. Let p(l) = -l**2 + 5*l - 1. Let u be p(g). Solve -3*y - b = -4*b, y + u*b = 12 for y.
3
Let m(p) = -p**2 + 4. Let s be m(0). Let n = 6 - s. Solve 0*w = -w + n, -4*d + 4*w - 28 = 0 for d.
-5
Let m = 31 + -21. Let d be 6*(0 + 5/m). Solve -4*u = -2*k - 14, -3*u - d*k + 10 = -4*k for u.
3
Suppose -v - 59 = -y, 40 = -5*v + 4*y - 256. Let z be (v/14)/((-9)/(-63)). Let p = -5 - z. Solve -13 = 3*q + 2*d, -4*q + 6*d - p = d for q.
-5
Suppose -2 - 1 = 3*m, 0 = 3*h + 3*m - 138. Let k = 49 - h. Solve 2*q - q + 4 = 3*x, 0 = 3*x - 4*q + k for x.
2
Suppose 15*h - 10*h = -10. Let y be 7 - (-6 - -8 - 0/h). Solve 4*n + 3 = -k - 18, -y*k = 5*n + 45 for k.
-5
Let g(t) = -t - 41. Let d(a) = 20. Let r(y) = -7*d(y) - 3*g(y). Let i be r(7). Solve 3*m = -4*q + 7 + i, -5*q + 12 = 2*m for m.
1
Suppose -6*u - 709 = 233. Let h = -155 - u. Solve -q = h*i - 2 + 1, 0 = -2*i - 4*q - 14 for i.
3
Let r(l) = -l**2 - 6*l - 1. Let z be r(-5). Let q = -1353 - -1357. Solve b - z*b + n = -16, -2*b + q*n = -14 for b.
5
Let n(z) = 12*z + 12. Let h be n(-3). Let s = 33 + h. Solve -4*w + 2*i = 6*i, 0 = 5*w + 2*i + s for w.
-3
Suppose -3*f + w + 1 = 0, 5*w = 5*f - 1 - 4. Suppose 2*b - 2 - 4 = f. Suppose b*n = 7*n - 12. Solve 4*u + 8 = -3*s + 2*u, -6 = 3*s + n*u for s.
-4
Suppose 3*h + n - 10 = 0, n = -4*h + 5*h - 10. Suppose -3*t + t = -26. Let v = t - 8. Solve 0 = h*b + x - 5 + 1, 0 = -b + v*x + 6 for b.
1
Let b = 148 + -144. Solve -y + 3*i + b - 11 = 0, -3*y = 5*i + 7 for y.
-4
Suppose -3*t + 7 = -4*d, 0 = -7*d + 2*d - 3*t + 25. Solve 30 = 5*y - 3*p, d*p + p = -y - 12 for y.
3
Suppose 3*z = -3*u + 18, 39*z + 21 = 35*z + 5*u. Solve -2*p - 3 = -m, -10 = 3*m - z for p.
-3
Suppose 0 = 3*c - 31 + 22. Let w be (-4)/14 - 9/126*-4. Solve -5*y + 35 = -5*t, w*y + c*y - 5*t - 25 = 0 for y.
5
Let h be 650/(-55) + 12 + (-383)/(-11). Solve -3*d = 5*z - h, 0 = 4*z + d + 4*d - 41 for z.
4
Let c be 1/(4 - (-135)/(-35)). Let f(u) = -u**3 + 6*u**2 + 2*u + 37. Let p be f(c). Solve -3*y = -b + 11, -p*y - b + 0*b = 4 for y.
-3
Let c be -4 - 80/(8/(-2)). Suppose 2*b + c = 4*m, 5*b - m = 2*b + 1. Let o be 43/4 - (-2)/8. Solve d - 4*h + 5 + o = 0, 17 = -b*d + 5*h for d.
4
Suppose 4*w = 3*g + 10, 3*w - 2*g + 24 = 8*w. Solve w*x = -m + 7, -9*x = -4*x - 2*m - 25 for x.
3
Let k(g) = -6*g + 52. Let c be k(8). Let l = -8 - -11. Solve -2*v + 5 = d, -d + 6 = c*v - l for d.
1
Suppose -c - 4*t - 21 = 0, t = -5*c - 4 - 6. Suppose y + 3*y = -16. Let q be (1 - 0)/(c/y). Solve d + 5*v = -27, v + 9 = -q*d - 4 for d.
-2
Let t be 1/(4 - 75/20) - 0. Let p = 1 - 0. Let x(v) = v**2 - 1. Let s be x(p). Solve -t*q - 4*z + 4 = s, 0 = -q + 3*q + 3*z - 6 for q.
-3
Suppose -5*r = n + 1 + 9, 0 = 4*n + 2*r - 14. Suppose -n*p - 9*p = -56. Solve 4*j + 4*x - p = 0, -j + 0*x = 2*x - 6 for j.
-4
Let k be (3 + -2)/(3/9). Suppose g - k*n + 6 = 0, -6*g + 2*g = 4*n - 24. Solve -g*y = 3*l - 4*l - 15, -y + 13 = -3*l for y.
4
Suppose 0 = 2*y - 28 + 4. Suppose 10*q - y = 6*q. Solve q*g = -3*s, -5*g = 3*s - 5*s + 35 for s.
5
Let h(v) = v - 4. Let u be h(7). Suppose u*w + 90 = 9*w. Solve 3*g - 4*c - w = -c, 2*g + 3*c + 5 = 0 for g.
2
Let l(t) = -3*t - 2. Let d be l(-2). Suppose -g = d*g - 10. Let j be (28 + -27)*(-4)/(-2). Solve j*m - 2 = n - g*n, 0 = -5*m - 2*n + 6 for m.
2
Suppose 4*c = -3*i - 5, 0 = i + 5*c + 13 + 7. Suppose -h + 7 = i. Solve -3*t - 26 = k + h*t, -2*t = 10 for k.
-1
Suppose -29 = 7*n - 8. Let w be 6 + (-8)/(1 - n). Sol
|
{
"pile_set_name": "DM Mathematics"
}
|
30 = -4*w, 0 = 3*w + 2*w - 5*d - 50. Solve -b - 33 = -l*r + 4*b, 25 = -w*b for r.
4
Let k be 1*1*(-4 - -6). Solve k*u + 3*u - 11 = 2*y, 0 = u - 4*y - 13 for u.
1
Let g be 25/10*16/10. Let p be 1 + (-2)/g*-4. Let k = 6 - 1. Solve k*l = 4*s - 17, -l - p*s = -1 + 12 for l.
-5
Let q be 0 + 1 - (-4 - -2). Let s be 2/(q - (-26)/(-10)). Solve 2*x - x = 4*t + s, 2*t + 3*x = 15 for t.
0
Let t be 76/18 + (-10)/45. Solve -3*a = -t*y - 25, -4*a + 9 = -a for y.
-4
Let p(a) = 4*a - 8. Let w be p(2). Solve 4*y + i = -1, -2*y + 3*i - 11 = -w*y for y.
-1
Let q(u) = -6*u**2 + 2*u + 1. Let r be q(-1). Let v = r - -11. Let s = v + 1. Solve 0 = 4*a - s*t - 11, t = 5*a - 0*t + 2 for a.
-1
Suppose -t - 2*a = -2, -2*a = -5*t - a + 10. Suppose 26 = 3*c - 13. Let n = c - 9. Solve 4*h = -t*r + 2, 4*r + r - 11 = -n*h for r.
3
Let r = -4 + -10. Let x = 19 + r. Solve p + k - 4 = -3*k, 2*p - x = -5*k for p.
0
Let p be (-8)/(-20) - (-23)/5. Solve d + 3*c = -10, -4*c = 2*d - c + p for d.
5
Let m = 8 - 6. Solve -m*k - 2*t - 8 = -0*k, 0 = 5*k - 2*t + 13 for k.
-3
Suppose 2*h - 23 = 5*w, -3*h + 20 = -4*w - 11. Let k be 26 + (0 - (-3 - -1)). Suppose 5*t = 52 + k. Solve -5*o = 3*z + h - 1, 0 = z + 5*o + t for z.
4
Suppose 0 = 5*t - 2*d - 95, 4*t - t - 4*d - 57 = 0. Solve 11 = 2*b - r, 5*b + 2*r - 4 = t for b.
5
Let s be (4/6)/(28/126). Solve -2*w - w = -4*x + 3, -5*x - s*w = 3 for x.
0
Let g(l) = -l - 3. Let y be g(-6). Suppose 4*c = -3*m + 9, -5*c - y*m = -8*m - 20. Let o = c - 1. Solve t - o*d + 5 = 0, 0 = -0*t + t + 4*d + 5 for t.
-5
Let f be (-39)/(-12) - (-1)/(-4). Suppose 3*g + 9 = -3*r, -2*r = -6*r - f*g - 11. Let h = r + 3. Solve -2*m = 5*z - m - h, -z - 3 = m for z.
1
Suppose -w = j - 5 - 15, 0 = 3*j + 2*w - 59. Solve 4*x = 4*d + 8, 2 - j = -4*x + d for x.
5
Suppose 0 = 2*u - 0*u - 212. Let c = -64 + u. Let h = c - 25. Solve -5*y - h = -3*l - 6, 3*y - 5*l = 3 for y.
-4
Let b = -158 + 170. Solve 2*h - 3 = -3*s, -2*h + 3*s = -h + b for h.
-3
Let y = 18 - 13. Suppose 2*x + 2*w = 0, -x = x + 3*w + y. Solve x*n + 0*r - 3*r = -14, -3*r + 2 = -2*n for n.
-4
Let q(k) = k + 6. Let p be q(-3). Solve -4*z - 4*l - 4 = 0, 0 = -z + l + p*l - 21 for z.
-5
Let m(z) = -3*z - 10. Let r be m(-3). Suppose -1 = -4*l + 55. Let n = l - r. Solve 3*k = -3*j - n, -2 - 10 = 4*j for k.
-2
Let b be (-2)/(-6)*-1*-24. Suppose s - b = -s. Suppose s + 4 = 2*u. Solve 2*t - 10 = -2*h, -u*t - h - 9 = -29 for t.
5
Suppose -6*c + 6 + 24 = 0. Solve c*b - 3*b = -3*f - 11, 0 = 4*f + b + 8 for f.
-1
Let d(c) = 3*c**2 - c + 1. Let u be d(1). Let y(w) = w**3 - 12*w**2 + 22*w - 11. Let z be y(10). Solve -5*q = -2*l + z - 0, -2 = -4*q - u*l for q.
-1
Suppose 2*b - 11 = 1. Suppose 5*a + b - 26 = 0. Suppose -2 = -a*o + 10. Solve -8 = g - o*g + 2*j, 5*g + 4*j = 2 for g.
2
Let x(t) = -t**3 - 6*t**2 + t + 10. Let q be x(-6). Solve 35 = -3*u - 0*u - q*f, 20 = u - 5*f for u.
-5
Let a(q) = -q - 3. Let k be a(-5). Suppose -18 = -5*f + k. Suppose -f*w = w. Solve 2*v - 5*t + 6 = w, 4 = v + 4*v - 3*t for v.
2
Suppose k = 4*f + 4, -f + 4*k - 10 = 6. Solve 4*j + 3*z = 4, j + 2*z - z - 1 = f for j.
1
Let n be 4 - -3 - (0 - -5). Solve -3*w + n*c = -7, 3*c = c - 4 for w.
1
Let y(g) = 2*g**3 - 5*g**2 + 3*g - 2. Let m be y(3). Solve 0 = -4*w + 6*w, 4*w + m = 4*u for u.
4
Suppose 5*u - 1 = -s, u + 3*s - 5 + 2 = 0. Suppose -5*g - o + u*o = -40, 0 = -2*o - 10. Let l = g - 6. Solve -4*d + 4*x = 9 + 7, -l*x - 20 = 5*d for d.
-4
Let d = -11 - -14. Let w be ((-1)/3)/(2/(-36)). Solve -d*v + 17 = 4*z - w*v, -v = z - 6 for z.
5
Suppose 0 = 11*a - 2*a - 18. Solve d - a*w + 3 = 0, 0 = d - 4*d + w + 11 for d.
5
Suppose -u + 44 = 4*y + u, -44 = -4*y + 4*u. Suppose b - 2 = -4. Let r be b/(-4) - 11/(-2). Solve -o = -4*v - y, r*v + 13 = v + o for v.
-2
Let w = 10 - 6. Suppose -w*i + 8 = 0, -4*i = -5*k - 3*i + 18. Let j be 16/(-20)*(-10)/k. Solve -3*l + 3*q = 2*l + 16, -4*q - 22 = j*l for l.
-5
Suppose 7*r = 2*r + 50. Let p = r - 28. Let z be (12/5)/(p/(-60)). Solve -4*b + 5*f - 13 = z, -b + 6 = f for b.
1
Let l = 27 - 23. Solve -5*u = 2*j - 8, l*j = 3*u + 8 + 8 for j.
4
Suppose 5*g + 5*k = 0, -4*g + k = g - 12. Suppose -3*u + 40 = g*u. Solve 0 = 3*c + u*l - 3*l - 18, 0 = -2*c + 2*l - 4 for c.
1
Let w be 4/(3 + (-3 - -1)). Suppose -w*s = -8*s + 8. Solve 4*o + 6 = -2*n, 0*o + 18 = s*n - 2*o for n.
5
Suppose -2*g = 5*z - 49, 3*z = 7*z - 4*g - 28. Solve -3*q + z = 3*s, -6*s = -2*s for q.
3
Let a(s) = -s**2 - 10*s - 8. Suppose j = -5 - 1. Let h be a(j). Solve -2*l = 2*z + 12, 0*z = -5*l + 2*z - h for l.
-4
Suppose -6*p = -p - 110. Suppose -b - p = 3*k - 57, 4*b - 20 = -2*k. Solve 2*v = -4*o - 18, 3*o = v - 2*v - k for v.
-3
Let y(q) = 4*q - 4. Let t be y(5). Suppose 8 - 78 = -2*v. Suppose -4*i - 3*h = -65, h = 2*i - 0*h - v. Solve -x - x = -3*l + i, t = 3*l - x for l.
5
Let k = -64 - -69. Solve 8 = k*a - a - 5*f, 26 = -2*a - 5*f for a.
-3
Let i(n) = n**2 - 3*n. Suppose 5*p - 2*p - 7 = 2*w, w - 29 = -5*p. Let s be i(w). Let b be 3*10/(-18)*-3. Solve 5*a - s*l = 0, -3*l = -0*a + b*a - 35 for a.
4
Let b(d) = d**3 - 4*d**2 - 5*d + 2. Let r be b(5). Suppose 0 = r*f + 5 + 3. Let x be f/6*3 - -13. Solve 0 = 3*c + 2*c - n + x, -4*n = 4*c + 4 for c.
-2
Let f(z) = 3*z**2 - z + 1. Let b be f(1). Suppose 3*i = -5*m + 17, -i + 7 + 8 = 4*m. Solve m*a - 3 = b*c - 0, -4*c = -4*a + 8 for c.
-5
Suppose x = -5*p + 12, 2*x + 0*x = -p - 12. Suppose 0 = 3*r - 2*r + 5. Let v be x/r + (-12)/(-30). Solve 5*h - 23 = -l, -v*l + l = -2*h + 12 for l.
-2
Let q be (-4 + 2 + 1)*6. Let c = q - -10. Suppose -4*k - i = 4, -3 = c*k - 3*i - 15. Solve 2*b - 4*b - 2*y - 8 = 0, k = -3*b + 5*y - 12 for b.
-4
Suppose k - 7 = -1. Suppose s + 12 = 2*i, 3*s + 2 = -i - k. Let r be 5 + (-5 - (-4 + 1)). Solve -5*a + r = o, -i*o - o = -a + 11 for a.
1
Let o(q) = q**3 + 5*q**2 + 5*q + 2. Let c be o(-4). Let t be 3*c*(-2)/4. Let r = -12 - -12. Solve r = -t*u + 5*y - 5, -4*u - y + 5 = 27 for u.
-5
Let u(r) = r**3 - 4*r**2 + 1. Let j be u(4). Solve 0 = 4*f - a + j, -4*a + 5 = f + a for f.
0
Let f(v) = v**2 - 12*v + 3. Let k be f(12). Solve -2*d - k = c + 6, -2*c = 2*d + 14 for d.
-2
Let c be (1 + 2)/(1 - 0). Suppose -5*s = 3*m - 5, -2*m = -5*m - 2*s + 2. Let o(r) = r**3 - r**2 + r + 8. Let p be o(m). Solve -4*g = j, 5*g = g - c*j - p for g.
1
Let m(a) = -a**2 - 9*a - 5. Let g be m(-6). Suppose -g = -3*z + 2*z. Solve -v - 9 = 3*b + v, -z = 4*b + 3*v for b.
-1
Let b = -2 + 6. Solve -3*l = 15, 4*m - 10 - 14 = b*l for m.
1
Suppose 7*p = 2*p - 5. Let u(l) be the second derivative of l**4/4 + l**3/3 + l**2/2 - l. Let g be u(p). Solve -7 = -g*v - w, 6*w - 4 = -2*v + 2*w for v.
4
Suppose 0*q - 4*q + 16 = 0. Let v be (q - 1) + 0 + -1. Suppose 0 = -4*y + v*y. Solve 2*i = t - 1 - y, -t + 11 = 3*i for i.
2
Let p = 6 - 3. Solve -2*j - 2*t = 10, 0*j - 15 = p*j - 5*t for j.
-5
Let j(c) = c**3 - 10*c**2 + 9*c - 4. Let p be j(9). Let w = 0 - p. Let a(m) = 3*m**2 - m. Let n be a(1). Solve 0 = 2*s + 2*v - w, 2*v - 2 = 2*s - n*v for s.
1
Suppose -b + r = -4, -2*b - 12 = b + 3*r. Solve b*n = 3*d + 4*n + 11, 4 = -2*d - n for d.
-1
Let v = -93 - -95. Solve -2 = 2*z, -v*z + 0 = 2*o - 8 for o.
5
Suppose 0*p - 2*v - 4 = -2*p, 4*p - 3*v = 9. Suppose 2*c = -c. Solve -6*y = -5*y + p*x + 5, c = 3*y - 3*x - 9 for y.
1
Let v = 63 + -58. Solve 5*n - n = 3*w - 10, -4*w + v*n = -13 for w.
2
Let w(n) = -n**2 - 5*n - 6. Let q be w(-6). Let j = q - -18. Let i = j + -3. Solve -i*d - 12 = -t, -3*d - 12 = -0*d + 3*t for d.
-4
Let d be 138/10 - 1/(-5). Let c be (-8)/(-28) - (-346)/d. Let v = 3 - -1. Solve v*a + b + c = 0, 0*a = a - b for a.
-5
Suppose -4*q = 4 + 4. Let d be (q - 0 - -2) + 3. Let b be ((-24)/9)/(-2)*d. Solve -2*c = -0*c - b*g + 14, -6 = 2*c + 4*g for c.
-5
Let m be (-6)/((-4)/((-8)/(-3))). Suppose 4*w - 3*p - 51 = w, 77 = m*w - p. Solve -4*i - 4 = a, -3*a - 2*a - w = i for i.
0
Suppose 0 = -3*z - 12 - 12. Let g = -8 - z. Solve 4*y = 2*t - 4, t = -g*y + 4*y + 6 for t.
-2
Let r be 0 + 9/12 + 20/16. Solve 5*c = -4*x - 6, -r*x = 5*c + 10 - 2 for c.
-2
Let l be (50/30)/((-1)/(-3)). Solve 0 = 3*f + 2*w + 10, -2*w = -l*f + 3*w for f.
-2
Let d(w) = -2*w**2 + w + 15. Let t be d(3). Solve t = -5*z - 0*z - 15, 0 = -3*r - 2*z - 15 for r.
-3
Let b be (-8)/7*14/(-4). Let d = b + 4. Solve -4*i + 4 = -4*s - 0*i, 2*i = d for s.
3
Suppose -2*p -
|
{
"pile_set_name": "DM Mathematics"
}
|
smallest value in j, -0.2, h?
j
Suppose 4*h - 1 = 19. Which is the second smallest value? (a) 1/5 (b) 1 (c) h (d) 3
b
Suppose -t + 0*y = -3*y + 3, -4*y = t + 31. Let x be ((-1)/(-5))/(2/t). Let v = -1 - -0.8. What is the second biggest value in -1, x, v?
-1
Let n = -11 + 15. Let q = -1 - -5. Let w = -5 + q. Which is the second smallest value? (a) -5 (b) w (c) n
b
Let l = 11282/15 - 753. Let t = -7/10 - l. Which is the biggest value? (a) 0.1 (b) -2/19 (c) t
c
Let v = 104 - 104. What is the fourth biggest value in 1, 2/5, v, -3?
-3
Let d = 0.06 - -0.44. Which is the third smallest value? (a) d (b) -0.4 (c) 0.3
a
Let q = -147 + 1615/11. What is the third biggest value in q, 2/13, -0.1?
q
Let q = -0.8 - -5.8. Let y = 0.1 + -0.2. What is the third smallest value in y, q, 2/7?
q
Let r = 18.4 - 10.2. Let b = r + -8. What is the third biggest value in b, -5, -2/5?
-5
Let d = -8 - -4. Let p = 4 + -3. Which is the smallest value? (a) 1/3 (b) d (c) p
b
Let b = 2.3 + -11.3. Let d = b + 15. What is the second biggest value in -2/13, d, 0.1?
0.1
Let l be 1*3/(4 - 1). What is the third biggest value in l, -1, -2?
-2
Suppose 2*m + 3*u = 4, 3*u + 18 = 4*m + 4*u. Which is the third smallest value? (a) m (b) 3 (c) 4
a
Let k = -9/2 - -17/4. Let f = -30 + 15. Let x = f + 16. What is the third smallest value in k, x, 2/7?
x
Let z = -0.1 + 1.8. Let a = 1.3 - z. What is the second biggest value in 0.5, a, -7?
a
Let l = 5.9 + 0.3. Let x = 31 + -25. Let g = x - l. Which is the second smallest value? (a) g (b) 4 (c) -0.5
a
Let d = 5.478 + -0.408. Let p = d + -0.07. What is the biggest value in -0.1, 2, p?
p
Suppose -4*g + 17 = d, -d + 4 + 1 = 0. Let l = -0.016 - -11.516. Let q = l - 11. Which is the third smallest value? (a) g (b) -0.2 (c) q
a
Let f = -4.6 + 4.22. Let s = 0.02 - f. Suppose w - 32 = -33. What is the third smallest value in -0.3, w, s?
s
Let d = -1085 - -1088. Let s = 7 - 10. Which is the third biggest value? (a) 8 (b) d (c) s
c
Let f = 0.3 + -0.2. Let t = -4.9 - f. Let v be 3*(-3)/(315/(-20)). Which is the third smallest value? (a) v (b) t (c) 0
a
Let y = 6/31 - -32/155. Let m = 3.99 - -0.01. What is the second biggest value in 5, y, m?
m
Let x = 6.4 - 1.4. Let f = -2.5 - -2. What is the third smallest value in 4, f, x?
x
Suppose 0*x - 3*x = -5*q - 11, 4*x = -5*q + 3. Let p = -2 - -2.3. Let k = 5 + -4.8. Which is the second biggest value? (a) k (b) q (c) p
a
Let q be 17/(-24) - 6/(-9). Let f = 3/8 + q. What is the smallest value in -0.1, f, -2?
-2
Let t = 81 - 76. Let v = -1 + 1.3. Let s = v + 0.2. What is the third biggest value in s, 4, t?
s
Let z = -1 + -5. Let m(c) = c**2 + 5*c - 1. Let d be m(z). What is the biggest value in -3/4, d, -2?
d
Let l = -173/1020 - -3/20. Let r = l - 299/357. Let f = r + 43/42. Which is the second smallest value? (a) 4 (b) 1 (c) f
b
Let z be (1/(7/3))/(30/(-20)). What is the second smallest value in z, 2/23, 0.4, 3?
2/23
Let r = 33 - 33. Let h be (-99)/(-21) + 2/7. Which is the second biggest value? (a) r (b) h (c) 2/11
c
Let f = -71 - -70.7. Let p = -12 + 7. Which is the biggest value? (a) p (b) f (c) 1/7
c
Let l = 2.2 - 2.19. What is the second smallest value in -0.3, -4, l?
-0.3
Let j = -3 + 2.8. Let o = 16 + -26. Let w be (8/(-10))/((-4)/o). What is the smallest value in 0.3, j, w?
w
Let p = 16 - 11. Let i = -0.08 - -0.1. Let q = -0.32 + i. What is the second smallest value in 0.5, p, q?
0.5
Let q = 0 + 4. Let s = -29 - -28.6. Which is the third biggest value? (a) s (b) -0.5 (c) q
b
Let v = 146 + -149. Which is the third biggest value? (a) 2 (b) -4 (c) v
b
Let r = -0.03 - 3.97. Let i be -2*(28/(-16))/(-7)*-6. Which is the third biggest value? (a) i (b) 0.3 (c) r
c
Let m = 1.1 + 1.7. Let c = m - 3. What is the biggest value in 0.4, 2, c?
2
Let t = 671/5 + -135. Which is the third biggest value? (a) t (b) -4/9 (c) -5
c
Let x = -264 + 263. Let g be 5*1*4/(-130). What is the smallest value in 2, x, g?
x
Let c = -0.3 + -0.7. Let y = 4.95 + 0.05. Let b = y + -5.1. What is the biggest value in -2, b, c?
b
Let c = 63 + -63. What is the smallest value in 3, 0.2, 4, c?
c
Let s = 9 + -7.5. Let c = 0.5 + s. What is the smallest value in c, -2/9, -0.3?
-0.3
Let g = 0.4 + 0.1. Let y = -76 - -379/5. What is the second biggest value in y, g, 1?
g
Let s = -142.7 + 143. What is the second smallest value in s, 0.2, 13?
s
Let r = -0.4 - 1.6. What is the third smallest value in -1, 2, r?
2
Let z = -2 - -2.4. Which is the third smallest value? (a) z (b) -3 (c) 3/7
c
Let a = -21 - -26. What is the third biggest value in a, 2, -0.2?
-0.2
Let u = 0.7 + -0.4. Let d = 8 + -7.5. Let g = d - u. What is the third biggest value in g, 3, 1?
g
Let w = 10 - 5. What is the second smallest value in w, -1/12, 0.4?
0.4
Let w = 14/1105 - -12/85. Which is the second biggest value? (a) w (b) -0.3 (c) 1/2 (d) 19
c
Let s = -21.6 - -22. Let j = -3 - -3.1. What is the second smallest value in j, -0.4, s?
j
Suppose -b = -4*a + 21, 0*a - 2*a + b + 11 = 0. Suppose 0 = -a*f - 4*r + 56, -4*r = -6 - 10. Let w be (f/10)/(3 + -5). What is the smallest value in 5, -1/6, w?
w
Let x be 6/2*(-260)/(-30). Let u be (-2)/13 + 43/x. Which is the smallest value? (a) -2/3 (b) 1 (c) u
a
Let x = 16.65 + -21.7. Let y = x - -0.05. What is the biggest value in -0.1, y, 4?
4
Let t be (2/10)/((-68)/(-170)). What is the second smallest value in 4, -0.3, t?
t
Let m = 24 - 15. Let r = -8.7 + m. What is the second biggest value in 5/3, r, -3/5?
r
Let w = -100 - -100. Which is the fourth smallest value? (a) -1/7 (b) 1 (c) 2/7 (d) w
b
Let n = -31 + 33. Let a = -0.2 + 0.6. What is the third biggest value in -1/4, n, a?
-1/4
Let l = -0.3 - -0.8. Let g(u) = u**2 - 7*u + 5. Let v be g(7). Let t = 4 - v. Which is the smallest value? (a) l (b) 2/3 (c) t
c
Let s be 8/(-12)*(-3)/12. Which is the biggest value? (a) -1/4 (b) 2 (c) s
b
Let r = 3 + 0. Let w(m) = -r*m + 0*m - 5 - 2*m + m**2. Let n be w(5). Which is the third smallest value? (a) 0.2 (b) n (c) 4
c
Let n = 0 - 2. Let y = n - -5. Which is the biggest value? (a) y (b) 2/19 (c) 4
c
Let l = 7.01 - 0.01. Let j = 101/28 + -15/4. What is the second smallest value in l, -0.2, j?
j
Let k be 27 - 28 - (0 - (-18)/(-16)). Which is the biggest value? (a) 0.1 (b) -0.5 (c) k
c
Let o(t) = t**2 - 5*t + 5. Let d be o(4). Suppose -2*u = -3*y + d, -3*u + 4*y + 32 = -7*u. Let x = -1 - -1. Which is the biggest value? (a) u (b) x (c) -0.3
b
Let g be (-15)/(-7) + (3 - 3) - 2. What is the fourth biggest value in 0.1, g, 2/11, -5?
-5
Let f = -16.5 - -0.5. Which is the second biggest value? (a) f (b) -3 (c) 5 (d) 2/7
d
Let s = -9 - -4. Which is the biggest value? (a) 0.3 (b) s (c) 4
c
Let x = 20 + -11. Suppose -1 = -5*d + x. Which is the smallest value? (a) 1/2 (b) d (c) 2/3
a
Let v = -62 + 63. What is the second biggest value in v, -0.03, 3, 2?
2
Let o = -5 - -4.6. Let r = o - -0.2. Let d = -0.8 + r. What is the third smallest value in d, 2, -3?
2
Let x(d) = -3*d**2 - 2*d - 3*d + 4*d - d**3. Let j be x(-3). Let s be j/((-36)/(-15)) + -2. Which is the smallest value? (a) s (b) -2/9 (c) -0.1
a
Let m = -325/36 - -37/4. What is the third biggest value in -19/4, -5, -2/17, m?
-19/4
Let z(u) = -4*u + 3. Let b be z(0). What is the third smallest value in 15, 4, -3, b?
4
Let u be (-8)/46*(-11)/(-22). What is the third smallest value in 4, u, 3?
4
Let z be 3/(3 + (-260)/88). Let t = z + -200/3. Which is the biggest value? (a) -1 (b) t (c) 0.2
c
Let w = 29 + -30. Let y = -5 + 3. What is the third smallest value in -6, y, w?
w
Let g be (25/25)/((-5)/2). What is the second smallest value in 5, 1/2, g?
1/2
Let s = 167 - 173. Which is the second biggest value? (a) s (b) -2 (c) -4/7
b
Let j = -0.094 + 8.794. Let u = j - 8. Let n = u - 4.7. What is the second smallest value in 4, 1/7, n?
1/7
Let a = 5 - 5.2. Let u = -1919/9 + 213. What is the second biggest value in a, 4, u?
a
Let d = -13/33 + -3/11. What is the third smallest value in 10, 0, 5, d?
5
Let y = 10.3 + 2.7. Let o = -13.5 + y. Which is the second biggest value? (a) 4 (b) o (c) 1/2
c
Let r = -154.3 - -154. Let h = -0.1 + 1.1. What is the third smallest value in h, r, -0.06?
h
Let g = -7 - -10. Which is the se
|
{
"pile_set_name": "DM Mathematics"
}
|
actor of 55 and d?
11
Suppose 6*u + 3*z - 68 = 2*u, 2*z + 6 = u. Suppose -130 = -m + 24. Calculate the highest common divisor of u and m.
14
Let o be (-36)/(-5)*(-40)/(-12). What is the highest common factor of 132 and o?
12
Let p(w) = w + 6. Let m be p(-6). Suppose 0 = -3*h + 9, -s + 16 = 5*h - m*h. Let o be -2*(-2 + s) - -1. Calculate the greatest common divisor of o and 15.
3
Let l(s) = s**3 + 23*s**2 - 5*s. Let d be l(-23). Calculate the highest common factor of d and 23.
23
Let r(v) = -27*v - 21. Let n be r(-7). What is the highest common factor of n and 21?
21
Suppose -7*r - 23 = -8*r. What is the greatest common factor of 207 and r?
23
Let l = 103 + 145. Suppose 5*m = 72 + 83. What is the highest common divisor of m and l?
31
Let j be (-1)/(-1 - (-18)/21). Suppose 2*u = j*u - 15. Calculate the highest common factor of 6 and u.
3
Suppose -16 = -4*f + 8*f. Let m(z) = z**2 + 3*z + 1. Let r be m(f). Suppose r*o = 116 + 109. What is the greatest common divisor of o and 30?
15
Let u be (-28)/(-1) + 1/(-1). Let f be (14/8 + -3)*-20 + 2. Calculate the greatest common factor of u and f.
27
Let w(k) = k**2 + 8*k + 1. Suppose -x - 27 = 2*x. Let r be w(x). Calculate the highest common factor of 20 and r.
10
Let x = 32 + -4. What is the greatest common divisor of 140 and x?
28
Suppose 6 = -3*h + 33. Let r = -7 + 13. What is the greatest common factor of h and r?
3
Suppose 8*r + 6 = 10*r. Suppose -l + 28 = 5*o, 5 = l - 5*o - r. Calculate the highest common factor of l and 27.
9
Let b = 135 - 116. Calculate the highest common factor of b and 171.
19
Let j = 67 + -39. Let c be 3/1*j/12. Calculate the greatest common factor of 49 and c.
7
Let d be 3/(-5) - 74/10. Let g(n) = -n**3 - 8*n**2 - n - 5. Let v be g(d). Suppose -79 - 20 = -3*q. What is the greatest common factor of q and v?
3
Suppose -18 = 2*t - 5*t. Let l(d) = -27*d + 9. Let w(b) = b. Let a(v) = -l(v) - 15*w(v). Let k be a(t). Calculate the highest common factor of k and 9.
9
Let o(m) = 4*m + 12. Let d be o(10). Suppose -3*w + 10 = -2*n - 27, -5*w - 2*n = -67. What is the highest common divisor of w and d?
13
Let n = -73 - -97. What is the highest common divisor of 20 and n?
4
Suppose 5*a - 126 = -3*p, 3*a + 0*p = -2*p + 75. What is the highest common factor of 9 and a?
9
Let q be 4 + -5 + 3 - -24. Let o = 3 + 1. Suppose 0*i = -o*i + 52. Calculate the greatest common divisor of q and i.
13
Suppose 3 = 4*l - 3*d - 8, 4*l - 5*d - 13 = 0. Suppose -237 = -3*p - 2*y - y, 0 = -2*p + l*y + 142. Calculate the highest common factor of p and 15.
15
Suppose 10 = 4*v - 2*m, m + 15 = 4*v + 6. Suppose 0 = -0*k + v*k - 42. What is the highest common divisor of k and 63?
21
Let t be -1 + 2/2*-19. Let c = t + 119. Calculate the greatest common factor of 9 and c.
9
Let v(b) = -6*b - 18. Let o be v(-4). Calculate the greatest common divisor of 36 and o.
6
Let l be -1 + (3 - (-3 + -4)). Suppose 5*y - 2*y - 3 = 0. Calculate the highest common divisor of y and l.
1
Let n = 27 - -3. Let c = 48 + -38. What is the highest common factor of n and c?
10
Let l = -5 - -10. Let m(y) = -y**3 + 5*y**2 + 2*y + 3. Let p be m(l). Calculate the greatest common factor of 104 and p.
13
Let s(t) = 16*t + 1. Let d be s(-1). Let l = d + 23. Calculate the highest common factor of l and 8.
8
Let x(u) = -u**3 - 9*u**2 - 12*u + 14. Let v be x(-10). What is the greatest common factor of 26 and v?
26
Let a be 0 - (-3 - (-9)/3). Let q(x) = x**2 - x + 6. Let f be q(a). What is the highest common divisor of f and 12?
6
Let s be -3*(6204/(-9))/4. Calculate the greatest common factor of 47 and s.
47
Suppose -100 = -11*r + 593. Suppose -2*t - 2 = -20. What is the greatest common divisor of t and r?
9
Let q(j) be the second derivative of j**4/12 - j**2 - j. Suppose -5 = i - 2. Let n be q(i). What is the highest common factor of n and 28?
7
Let v = 17 - 16. Suppose -3*m - 61 = -5*p, p + 0 + v = 5*m. What is the highest common factor of 14 and p?
14
Let f be -2 - (3 - (4 - -3)). Suppose f*z + 2*z = 324. What is the highest common divisor of 9 and z?
9
Let j = 32 + -26. Calculate the greatest common divisor of j and 48.
6
Let u(d) = -3*d**2 - 2*d - 5. Let c be u(-4). Let g = -31 - c. What is the greatest common factor of 84 and g?
14
Let x(s) = -s**3 - 4*s**2 - 4*s - 1. Let f be x(-3). Let g = -16 + 32. What is the highest common divisor of f and g?
2
Let t be (-4)/(-1*(-2)/(-8)). Suppose -2*l + 144 = l. Suppose 3*i - l = i. What is the highest common factor of t and i?
8
Let h be ((-10)/(-4))/(5/10). Suppose -h*s + 22 = -13. What is the highest common divisor of 56 and s?
7
Suppose 0*h - 728 = -7*h. Calculate the greatest common factor of 26 and h.
26
Suppose 2*z = -f + 41, -f + 3*z + 48 = -18. What is the greatest common factor of f and 17?
17
Let m be 3 - (0/4)/(-2). Suppose -m*f + 345 = 2*f. What is the greatest common divisor of f and 23?
23
Let s be (1/4)/(3/60). Suppose 0*m + 50 = m. What is the highest common divisor of s and m?
5
Let l = -34 + 44. What is the highest common divisor of l and 40?
10
Suppose 0*z + 84 = 3*z. Let t(j) = -16*j**3 - 2*j**2 + 2*j - 1. Let m be t(1). Let k = m - -31. Calculate the highest common divisor of k and z.
14
Suppose 2*k - 30 = -2. Suppose k*d - 18*d = -20. Calculate the highest common factor of 15 and d.
5
Suppose -3*x - 2*b + 22 = 0, -x + 2*b + 12 = 5*b. Calculate the greatest common factor of x and 66.
6
Let n be 1 + (-9)/3 - -4. Suppose 3*r - 17 = -n. Let s(x) = x**3 - 2*x**2 - 4. Let j be s(3). What is the greatest common divisor of j and r?
5
Suppose -7*k = -4*k - 15. Suppose v = k*v - 352. Calculate the greatest common factor of v and 8.
8
Suppose -10 = -3*i - 2*i. Suppose -230 = -2*t + 2*o + 2*o, -i*t = 3*o - 251. Let g be (-62)/(-6) - 6/(-9). What is the highest common divisor of g and t?
11
Suppose -3*z - 80 = 3*o - 2*o, -2 = -2*o. Let a be z/(-1 - 3/(-6)). What is the greatest common factor of 36 and a?
18
Let o be ((-180)/21)/((-3)/21). What is the greatest common divisor of 40 and o?
20
Let g be 4/(-10) + 402/30. What is the greatest common divisor of 52 and g?
13
Let f(i) = -i**3 + 7*i**2 + 9*i + 1. Let o be f(8). Let w(z) = -z**3 - 5*z**2 + 7*z + 7. Let m be w(-6). Calculate the highest common factor of m and o.
1
Let g = 53 + -23. Calculate the greatest common divisor of g and 12.
6
Let v = -72 - -104. Let s be 1/(-5) + v/10. Suppose -s*j + 0*j = -33. What is the highest common divisor of 22 and j?
11
Suppose 9*h = 10*h - 31. Calculate the highest common divisor of 31 and h.
31
Let p = -115 + -2. Let x = p + 269. Let u(o) = o**2 + 19. Let a be u(0). What is the highest common factor of x and a?
19
Suppose 0 - 6 = -2*k. Suppose -b = -5*x - k*b + 470, b - 283 = -3*x. Let w = -3 - -19. What is the highest common divisor of x and w?
16
Let h(c) = -c**2 + 3*c - 2. Let k be h(8). Let y be 14/k - (-92)/6. Suppose -2*v = 1 - 7. What is the highest common divisor of v and y?
3
Let g(m) = -4*m - 22. Let l be g(-9). What is the highest common divisor of l and 7?
7
Let q be (-2)/(1 + 1)*98. Let r = -66 - q. Let m be (6 + 2)/((-2)/(-4)). Calculate the greatest common divisor of m and r.
16
Let h(a) = a**3 - a**2 - a + 34. Let u = -5 - -5. Let k be h(u). Suppose o = -n + 5 - 3, k = 2*o - 4*n. Calculate the highest common factor of 21 and o.
7
Suppose 46 = 7*t - 80. Calculate the greatest common divisor of 12 and t.
6
Let a = 2 + 13. Let x(f) = -f - 3. Let k be x(-6). Calculate the greatest common divisor of k and a.
3
Suppose 4*a = -2*s + 53 + 73, 3*a - 114 = 5*s. What is the highest common factor of a and 3?
3
Suppose -4*s + 7*s - 54 = 0. Let z = 180 + -99. Let l = s + z. What is the highest common divisor of l and 9?
9
Let t be (1 + -34)*(2 + -3). Calculate the greatest common divisor of 3 and t.
3
Let w be (112/(-20))/(2/(-5)). Let o be (4 - 10)/(2/(-7)). What is the highest common divisor of w and o?
7
Let q = 152 - 72. Let f = q + -17. Let a be 2/(-3) + (-65)/(-3). Calculate the greatest common divisor of f and a.
21
Suppose -4*l = 5*y - 570, -426 = l - 4*l - 3*y. Calculate the greatest common factor of l and 20.
20
Let b = 10 - 9. Calculate the highest common factor of 8 and b.
1
Let u(z) = -z**3 + 7*z**2 + 6*z + 1. Let s be u(7). Calculate the highest common divisor of s and 86.
43
Let t = 18 -
|
{
"pile_set_name": "DM Mathematics"
}
|
10
Four letters picked without replacement from uuvnnunnunnkuvvvvvun. What is prob of picking 1 k, 1 u, and 2 v?
6/323
Two letters picked without replacement from hjhzjizvejjvjvjvv. What is prob of picking 1 j and 1 h?
3/34
Four letters picked without replacement from {w: 2, n: 1, t: 1, v: 1, o: 2, e: 2}. What is prob of picking 1 o, 2 w, and 1 n?
1/63
Calculate prob of picking 2 f when two letters picked without replacement from {h: 1, f: 2}.
1/3
Calculate prob of picking 1 q and 1 x when two letters picked without replacement from exxqeeqeeee.
4/55
Calculate prob of picking 2 m when two letters picked without replacement from mmwwwwwwwwmwmwwwwwwm.
1/19
What is prob of picking 2 h when two letters picked without replacement from {k: 1, a: 2, h: 5, t: 1}?
5/18
Two letters picked without replacement from {x: 4, f: 3, h: 4}. What is prob of picking 2 x?
6/55
Four letters picked without replacement from rrrrprrpr. What is prob of picking 4 r?
5/18
Three letters picked without replacement from ogoomgnaoxogaa. Give prob of picking 3 g.
1/364
Calculate prob of picking 1 n and 1 e when two letters picked without replacement from {e: 2, h: 2, n: 1, x: 1}.
2/15
Calculate prob of picking 2 a when two letters picked without replacement from aaaaaa.
1
What is prob of picking 1 e, 2 n, and 1 a when four letters picked without replacement from nccanhaccaecn?
9/715
Calculate prob of picking 1 x and 1 o when two letters picked without replacement from uoouuovvxqouxvuxs.
3/34
Three letters picked without replacement from {w: 3, q: 17}. Give prob of picking 1 q and 2 w.
17/380
Three letters picked without replacement from {h: 6, v: 7, y: 1, d: 3}. What is prob of picking 3 v?
7/136
Two letters picked without replacement from ciidccccdpcddccdpccd. Give prob of picking 1 c and 1 p.
2/19
Calculate prob of picking 1 c, 1 b, and 2 a when four letters picked without replacement from {c: 1, b: 2, t: 11, a: 3, p: 2}.
1/646
Calculate prob of picking 1 q and 1 t when two letters picked without replacement from fodiqtq.
2/21
Four letters picked without replacement from cmlcyvm. Give prob of picking 2 c and 2 l.
0
Calculate prob of picking 2 a when two letters picked without replacement from {d: 2, h: 2, r: 1, i: 1, n: 1, a: 2}.
1/36
Two letters picked without replacement from cyycc. What is prob of picking 2 c?
3/10
Four letters picked without replacement from {a: 5, u: 5}. Give prob of picking 3 a and 1 u.
5/21
Two letters picked without replacement from {o: 3, l: 4, a: 11}. Give prob of picking 1 o and 1 a.
11/51
Four letters picked without replacement from peerrppr. What is prob of picking 1 r, 2 e, and 1 p?
9/70
Four letters picked without replacement from onmkcmc. Give prob of picking 1 m, 1 n, 1 k, and 1 o.
2/35
Calculate prob of picking 1 y and 2 b when three letters picked without replacement from tggtbyyymmbttygtttb.
4/323
What is prob of picking 3 r and 1 s when four letters picked without replacement from sssrrlrssrrlsrrs?
7/52
What is prob of picking 3 d when three letters picked without replacement from dmddmmd?
4/35
Calculate prob of picking 1 y, 1 j, and 2 d when four letters picked without replacement from zjjjjzjzjjdujyzudzy.
4/969
Three letters picked without replacement from {y: 6, v: 4, k: 3, o: 1}. Give prob of picking 1 k and 2 y.
45/364
Four letters picked without replacement from ouuhuuhuhkuxhuhmuuku. What is prob of picking 1 x, 2 u, and 1 o?
3/323
Four letters picked without replacement from {r: 5}. What is prob of picking 4 r?
1
Four letters picked without replacement from bbubaabbujkbbbq. What is prob of picking 2 j, 1 u, and 1 b?
0
Three letters picked without replacement from vfuugfpffgvu. Give prob of picking 1 v and 2 f.
3/55
Three letters picked without replacement from {x: 3, i: 5, l: 3}. Give prob of picking 1 x and 2 i.
2/11
Two letters picked without replacement from {u: 2, w: 2, p: 10}. What is prob of picking 2 p?
45/91
What is prob of picking 1 w and 1 k when two letters picked without replacement from {k: 1, u: 1, d: 1, b: 1, a: 1, w: 2}?
2/21
Calculate prob of picking 1 l, 1 p, and 1 f when three letters picked without replacement from {l: 1, w: 2, p: 3, f: 1}.
3/35
Two letters picked without replacement from {f: 5, k: 1, m: 5}. What is prob of picking 1 m and 1 f?
5/11
Four letters picked without replacement from {t: 2, f: 5}. Give prob of picking 2 f and 2 t.
2/7
What is prob of picking 2 b when two letters picked without replacement from sqbqsbon?
1/28
What is prob of picking 4 q when four letters picked without replacement from qqqqqqq?
1
Four letters picked without replacement from wasmswbawswwmwa. What is prob of picking 2 w and 2 a?
3/91
Two letters picked without replacement from rrrfrfrffrrfrrrrrfr. Give prob of picking 2 r.
26/57
Four letters picked without replacement from {g: 5, k: 3, i: 1, d: 8, q: 2, l: 1}. Give prob of picking 2 d and 2 g.
56/969
Four letters picked without replacement from {f: 1, m: 4, n: 7, l: 3, a: 3}. Give prob of picking 2 l, 1 f, and 1 n.
7/1020
What is prob of picking 1 c and 3 i when four letters picked without replacement from cioicciiiiocijniccc?
98/969
What is prob of picking 1 z and 2 l when three letters picked without replacement from zplzzlpzplllzlll?
1/4
What is prob of picking 2 f and 1 j when three letters picked without replacement from {w: 2, q: 1, s: 1, j: 2, f: 2}?
1/28
Four letters picked without replacement from {q: 3, y: 5}. What is prob of picking 3 y and 1 q?
3/7
Two letters picked without replacement from {f: 2, a: 1, d: 2, e: 1, y: 2, x: 1}. What is prob of picking 1 f and 1 x?
1/18
What is prob of picking 1 d, 1 g, and 2 i when four letters picked without replacement from {d: 2, g: 5, i: 3}?
1/7
Calculate prob of picking 1 e and 2 j when three letters picked without replacement from {e: 1, j: 4, i: 2, o: 2}.
1/14
What is prob of picking 2 l when two letters picked without replacement from {e: 1, p: 7, l: 3, a: 3, v: 2, r: 1}?
3/136
Calculate prob of picking 3 l when three letters picked without replacement from xxxxxxxxxllxxxxlxx.
1/816
What is prob of picking 3 i when three letters picked without replacement from iyyyyyyyyyiiyy?
1/364
Two letters picked without replacement from {c: 5, s: 2, t: 1, x: 1}. What is prob of picking 1 s and 1 x?
1/18
Four letters picked without replacement from tbtbtbttttotbtbttbt. What is prob of picking 2 b and 2 t?
165/646
Two letters picked without replacement from jjggjjggjjgjgarjjga. Give prob of picking 1 a and 1 g.
14/171
Calculate prob of picking 2 b and 2 z when four letters picked without replacement from ggwzbwgzwggwggggbzzb.
6/1615
Two letters picked without replacement from ckqbbcqcvsbcbkk. What is prob of picking 1 v and 1 s?
1/105
Three letters picked without replacement from {t: 1, v: 5, n: 2, m: 8, s: 3}. Give prob of picking 2 m and 1 t.
28/969
Three letters picked without replacement from ibbiiiibbii. Give prob of picking 1 b and 2 i.
28/55
What is prob of picking 1 l and 1 j when two letters picked without replacement from jjjjjjjjjjljjjjjjj?
1/9
Calculate prob of picking 1 n and 2 f when three letters picked without replacement from nnnnnfnfnnf.
8/55
Two letters picked without replacement from {o: 6, y: 1, c: 2, g: 3}. Give prob of picking 1 c and 1 y.
1/33
Calculate prob of picking 1 e and 1 r when two letters picked without replacement from eaeorrhproer.
2/11
Calculate prob of picking 1 c and 1 v when two letters picked without replacement from {n: 2, k: 2, c: 1, m: 2, o: 1, v: 1}.
1/36
Calculate prob of picking 1 y and 2 t when three letters picked without replacement from {y: 13, t: 3}.
39/560
What is prob of picking 3 k when three letters picked without replacement from {u: 5, h: 4, k: 5}?
5/182
Calculate prob of picking 2 h when two letters picked without replacement from {q: 1, h: 2, o: 3, l: 3, e: 10}.
1/171
Two letters picked without replacement from cpenggeznnnepeen. Give prob of picking 2 e.
1/12
Three letters picked without replacement from {l: 7, e: 3, y: 1, g: 2, u: 1}. What is prob of picking 2 g and 1 u?
1/364
Calculate prob of picking 2 o when two letters picked without replacement from {o: 2, p: 3, w: 2, g: 2}.
1/36
Calculate prob of picking 2 f and 1 p when three letters picked without replacemen
|
{
"pile_set_name": "DM Mathematics"
}
|
be 6/39 - g/39. Is (3/3)/(q/5466) prime?
True
Let j = -2449 + 3838. Suppose -2*w + q - 213 = -j, 3*q + 1180 = 2*w. Is w a prime number?
True
Let q(v) = 10747*v**2 - 53*v - 5. Is q(5) prime?
False
Is (22514167/(-1443))/((1*2)/(-6)) a prime number?
True
Let q = -1071971 - -1728132. Is q composite?
True
Suppose -47 - 77 = 4*s. Let k = s - -33. Suppose 113 = 3*a + k*r, -2*a - 2*a + 145 = -3*r. Is a composite?
False
Let m = 57685 - -1007530. Is m prime?
False
Let l(v) be the second derivative of 4*v**3/3 - v**2/2 + 7*v. Let a be l(0). Let q(c) = 2643*c**2 + c + 1. Is q(a) composite?
True
Let l be 96/36*20763/(-12). Suppose 0 = 4*d + 7680 + 44. Let q = d - l. Is q a prime number?
True
Let u = -25 - -29. Suppose 19247 = u*k - 0*a - 5*a, 5*a + 14434 = 3*k. Is k a composite number?
False
Let h(s) = 241*s**3 + 9*s**2 - 10*s - 1. Is h(8) a prime number?
True
Let a = 613583 + 82286. Is a a composite number?
True
Let i = 1254242 + -810613. Is i composite?
False
Let z = -903293 - -1400038. Is z a prime number?
False
Suppose -3*n = -5*w + 588985, -3*w + 14*n - 11*n + 353391 = 0. Is w composite?
False
Let z = -27 - -32. Suppose 4*s = z*s - 278. Let j = s - 79. Is j a composite number?
False
Suppose 8 = -4*b - 2*j, 0 = -b + 3*b + 5*j + 4. Let r be -2 - b - 2*(-6)/4. Suppose -4*s + 135 = 4*w - 441, -r*s - 5*w = -430. Is s a prime number?
False
Let p(k) = 5965*k**3 + 20*k**2 - 45*k + 7. Is p(4) a composite number?
True
Let a(p) = p**3 - 23*p**2 - p - 35. Let m = -57 + 56. Let x be m/(238/48 + -5). Is a(x) a prime number?
False
Suppose 8*b - 46887 = 37569. Suppose n - 5*n + 5*d + 20 = 0, 5*n + 4*d = -16. Suppose -3*g + b = 5*c - 238, n = 4*c - g - 8636. Is c a composite number?
True
Suppose -59*b - 67090 = -3*j - 55*b, -4*b - 44724 = -2*j. Suppose 4*g - 58805 = 5*n, 4*n - 21699 = -3*g + j. Is g a composite number?
True
Suppose 4*h + 2*p = 1271392, 104 = -3*p + 116. Is h prime?
False
Let k(h) = h**3 - 21*h**2 - 2*h + 46. Let i be k(21). Suppose 4*a = -i*y + 812, 2*a - 389 = -4*y + 17. Is a composite?
True
Suppose 26*y - 25*y - 3*h = 395461, 0 = -h + 7. Is y a composite number?
True
Let g be (-6723402)/30 - 6/10. Is g/(-176) + (-3)/8 composite?
True
Let n be 362/2 + -6 + 7 + -6. Is 11/n - 1082970/(-96) a prime number?
False
Let a = 139243 - 73830. Is a composite?
False
Suppose 20 = -k - 2*n + n, -n + 106 = -5*k. Let c(p) = -p**3 - 20*p**2 + 20*p - 17. Let f be c(k). Suppose -6*b = -f*b - 2246. Is b prime?
True
Let n(g) = -407*g**3 + 35*g**2 + 37*g + 83. Is n(-10) a prime number?
False
Let w = 735841 + 496450. Is w prime?
True
Let i = 1893209 - 983766. Is i a composite number?
True
Let k be 200/34 + 6/51. Suppose -4*v + 7*v + 5*j = 738, -2*j - k = 0. Is v composite?
False
Is 16054794/49 + (18/(-21) - -1)*1 composite?
True
Let l(a) = -a + 17. Let n be l(5). Suppose 0 = n*k - 2*k + 22960. Let v = k - -4245. Is v a prime number?
True
Suppose 47 - 17 = 5*a. Let c(v) = 270*v + 31. Let f(m) = -539*m - 64. Let k(s) = a*f(s) + 13*c(s). Is k(5) a prime number?
True
Let f(c) = -8671*c**3 - c**2 - 3*c + 4. Is f(-3) a prime number?
True
Let a(u) = -u**3 + 208*u**2 + 52*u + 1005. Is a(68) a prime number?
True
Let b = 2580321 - 147970. Is b a prime number?
True
Suppose 178806 = 2*f - 82*c + 78*c, 0 = -5*f + 3*c + 447029. Is f a prime number?
False
Let h be (-12 + -24)/6 - -1*11. Suppose 0 = -5*o + 8*o + c - 10108, 4*o - 13509 = h*c. Is o prime?
True
Let h(g) = -2*g**2 - 24*g + 1. Let x be h(-12). Let w be (-3)/(-12) + x/(-4). Is ((-388)/8 + w)*-2 a composite number?
False
Let w(n) = -14*n + 159. Let t be w(12). Is (167/2)/(t/(-522)) a prime number?
False
Let l = 4042 - 4190. Suppose 32 = -5*r + 2. Is ((-3)/6*l)/((-4)/r) prime?
False
Let q(s) = -3397*s + 326. Is q(-21) composite?
False
Let b(c) = -459*c - 1862. Is b(-67) a prime number?
False
Suppose g + 41*b - 61578 = 36*b, 2*g - b - 123123 = 0. Is g prime?
False
Let z = 5969 + -5886. Is z composite?
False
Let o(p) = 68*p**3 - p**2 + 3*p + 3. Let a be o(3). Let d be 12/(-26)*39/(-9). Suppose -a = -x - d*x. Is x a composite number?
False
Suppose -3*f + 5*w = 2*f - 2195, w - 1301 = -3*f. Let t(n) = -531*n - 4 - 9*n - f*n. Is t(-1) a prime number?
True
Suppose 21*q + 14*q - 49*q = -4551442. Is q a prime number?
False
Suppose -24*v + 4325007 + 1207929 = 0. Is v prime?
True
Suppose -249131 = -i - g, 2*i = 5*i - 4*g - 747365. Is i composite?
False
Let x(j) = 13*j**2 - 2*j - 5. Let o be 8/16*(1 - -1) - -13. Let l = -16 + o. Is x(l) prime?
False
Let k = 13 + -13. Suppose -4*j + j = k. Is 191 - j - 6/(-2) a composite number?
True
Let h(z) = -z**2 + 4*z + 10. Let p be h(11). Let l = p + 21. Let y = 63 - l. Is y a composite number?
False
Suppose -261*g + 3644469 = -252*g. Is g a composite number?
False
Let b(p) = -p**3 + 9*p**2 + p + 5. Let g be b(9). Suppose 10*w = g*w - 1952. Suppose 118 - w = -2*o. Is o composite?
True
Let w = 24 - 23. Is ((1 + -2)*w)/((-4)/25028) a composite number?
False
Suppose 4*f - 54162 = 5*c, -2*f - 3*c - 6868 + 33960 = 0. Is f a prime number?
False
Let y(v) = -v**3 - 17*v**2 + 18*v + 19. Let k be y(-18). Let f = k + -19. Is f - (4 - 129) - -4 a composite number?
True
Suppose 41*b - 38*b - 6186 = 0. Let c = 4251 + b. Is c prime?
False
Let w(d) = 2321*d**3 - 2*d + 3 - 2326*d**3 + 7*d**2 + 0*d**2. Is w(-13) a prime number?
True
Let j = 121 + -127. Is (4/j)/((-25)/((-25164825)/(-14))) a composite number?
False
Is 72/252 - 425924/(-28)*3 a composite number?
True
Let b(y) = 9012*y**2 + 56*y + 367. Is b(-6) a composite number?
True
Suppose -5*w = c + 3*c - 105, -95 = -5*c + w. Suppose -2*v + 2*i = -0*i + 8, 5*v - c = -5*i. Suppose v = 7*u - 2*u - 105. Is u prime?
False
Let b = -257 - -587. Suppose 0*z - 364 = 2*z - 3*c, -4*z - 750 = 5*c. Let j = b + z. Is j a composite number?
True
Suppose 9*z + 2*d = 8*z + 6, -16 = -4*z - 4*d. Suppose -z*n + 488 = 4*o, 3*n = -3*o + 599 + 148. Is n prime?
False
Let q(i) = 25*i**2 - 12*i + 568. Is q(101) composite?
True
Let x(j) = j + 4. Let r be x(8). Suppose -26 = -2*k + 2*w, -k + 2*k = -4*w - r. Is k/16 - 1874/(-4) prime?
False
Let n be 4*(-3)/(-4) - (-58)/2. Is (n/(-64))/((-2)/580) a prime number?
False
Let u(a) = 856994*a**2 + 117*a - 114. Is u(1) prime?
False
Suppose 4*w - 260*y = -263*y + 38099, 0 = w - 2*y - 9533. Is w a composite number?
True
Let k = -71 - -128. Let b = k + 807. Suppose 0 = -2*o + 5*s + b, -5*o = -o - 3*s - 1742. Is o composite?
True
Suppose 0 = -604*w + 627*w - 77202145. Is w a prime number?
False
Suppose 0 = -3*x - 45 + 69. Is 13638/x + (-105)/(-84) composite?
True
Let n be 2/(-1) + (-7 + 7)/4. Is (2 + -3)/(n/22226) a composite number?
False
Is -5 + 1 + ((-686762362)/22)/(-17) a prime number?
True
Let j(o) = o**2 + 19*o - 7. Let g be j(-15). Let m be ((-11)/(-11) - g/(-3))*-3. Let v = m + 198. Is v a composite number?
True
Suppose 12*p = 9*p - 6. Is 3298 + ((-2)/(-18))/(p/(-18)) composite?
False
Is (10671/6)/((-55)/(-2530)) prime?
False
Let h(c) = 477*c**2 - 2*c + 182173. Is h(0) a prime number?
False
Let s = 45695 + -28221. Is s a prime number?
False
Suppose 13*p - 18*p = 975. Let n be p/(-60) + (-2)/8. Is 969 - ((-2)/(-2) - n) a prime number?
True
Suppose -78*c - 230712 = -102*c. Is c prime?
True
Let u(j) = -21718*j - 5151. Is u(-4) a prime number?
False
Suppose -8*r = -3*r - 15. Let o(b) = 12*b**3 + 2*b**2 + 3*b. Let c be o(r). Let q = c + 466. Is q a composite number?
True
Let k = -211 - -284. Suppose 366 = b - k. Is b a prime number?
True
Suppose 6*n - 11*n + n = 0. Suppose n = -2*v + 5 + 7. Is (-3)/(-2)*6484/v a composite number?
False
Let b be (4 - -1) + (1147 - 13). Suppose -3*j + 4*s - 3*s + 3467 = 0, -j + b = 3*s. Is j prime?
False
Suppose -20*u + 3*m = -23*u + 2934, 3*u = -m + 2926. Is u prime?
False
Let f(i) = i**3 - 3*i**2 - 12*i + 24. Let l be f(12). Let z = l + -485. Is z a prime number?
True
Let q(h) = h**3 + 5*h**2 - h - 5. Let b be q(-5). Suppose -3*m = 2*n - 11129, -2*m + 11128 = 2*n - b*m. Is n a prime number?
True
Let m be (15/(-35))/(1/(-7)). Let j be (-13)/(-39) + 8/m. Suppose -8353 = -2*i - j*i - 4*r, 2*i - 2*r - 3352 = 0. Is i composite?
True
Suppose -z + 56291 = 2*u + 6827, 3*u - z - 74201 = 0. Is u prime?
True
Let s(y) = -4*y + 40. Let z be s(-15). Suppose 106*f - z*f = 72684. Suppose j = 7*j - f. Is j a prime number?
False
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
True
Suppose 8*m + 9 = 5*m. Let p = m - -6. Let v(a) = 29*a + 2. Is v(p) prime?
True
Let k = 789 - 268. Is k prime?
True
Let s(x) = -x**3 - 3*x**2 + 5*x + 3. Let r be s(-3). Is (-3)/r*-53*-4 composite?
False
Suppose -t - 3*s = 148 - 719, 5*t = -2*s + 2816. Let n = t + -313. Is n composite?
True
Let u = 2809 + -1676. Is u a composite number?
True
Let c(q) = q. Let j(g) = -9*g + 7. Let r(l) = 4*c(l) + j(l). Is r(-6) a prime number?
True
Suppose 4*v = -2*o - 0*o + 3974, v = -4*o + 997. Is v composite?
True
Suppose 12*y - 385 = 5*y. Is y prime?
False
Suppose b + y - 4413 = 2*y, -20 = 5*y. Is b prime?
True
Let u(q) = 18*q - 3. Let o(r) = 71*r - 13. Let j(b) = -4*o(b) + 18*u(b). Let k be j(2). Suppose 3*d = 5*h - 3*h + 103, 3*h = -3*d + k. Is d prime?
True
Let h = -43 - -66. Is h prime?
True
Let m be (-5)/(-20) - 3007/(-4). Is (-2)/(-5) + m/20 composite?
True
Suppose 0*p = 7*p - 5747. Is p composite?
False
Let q(l) = -l**3 + 8*l**2 + 4. Let v be q(8). Suppose v*t = -t + 20. Is (-626)/(-18) + t/18 a prime number?
False
Suppose -j + 3*l = 2*l - 10, -2*l = -5*j + 35. Suppose -j*y = 15, p - 3*p - 4 = 2*y. Is -1 - (-51 + -3)/p a composite number?
False
Suppose -8*i + 80 = 3*n - 3*i, n = 3*i + 50. Is n composite?
True
Let u(h) = -81*h + 10. Is u(-5) composite?
True
Suppose 8 + 0 = 2*m. Let z = -36 + 68. Suppose -m*j + z = -188. Is j a composite number?
True
Suppose 0 = -4*g - 2*f + 76, 72 - 4 = 4*g + 4*f. Is g composite?
True
Suppose 0 = 3*u - 7*u + 1588. Is u composite?
False
Suppose 0 = i - 2*i. Suppose 4*g + 5*d - 56 = 0, 5*d = 4*g - i*g - 96. Is g a prime number?
True
Suppose 0 = 3*k + 4*m - 2522, 4*k + 0*k - 4*m = 3344. Is k a prime number?
False
Let g = -1336 - -2589. Is g a composite number?
True
Let u(j) = -106*j + 27. Is u(-10) a prime number?
True
Let w(y) = y**3 + 4*y**2 + y - 3. Suppose 0 = 2*h + 2*h + 12. Let l be w(h). Is (3/l - 14)*-1 composite?
False
Let b(j) = -9*j**3 - 2*j - 1. Let s be b(-1). Let d = 25 + s. Is d a prime number?
False
Suppose 2*x = 5*h - 61, 0 = 2*x + 2*x + h + 155. Let a(n) = 10*n - 5. Let j be a(8). Let k = x + j. Is k a composite number?
False
Let l be 2*-1*223/(-2). Suppose q - 595 = -5*u, -3*u + q + l + 134 = 0. Is u prime?
False
Is 62305/15 - ((-2)/3)/(-1) a composite number?
False
Is (-4 - -5)*((-1)/1 - -2742) a composite number?
False
Suppose 3*v = -z + 2*z + 12, z - 20 = -5*v. Suppose 0*c - v*c = -100. Suppose -4*k + c = -3*k. Is k a prime number?
False
Let f(z) be the second derivative of 7*z**5/10 - z**4/6 - z**3/6 + z**2 - 2*z. Let i be f(2). Let n = i - 53. Is n prime?
False
Is -1 - -2 - 6*-363 composite?
False
Let k(s) = 3*s**3 - 7*s**2 - s + 21. Is k(4) prime?
True
Let n = -222 + 1583. Is n prime?
True
Suppose 13919 = 3*m + 26. Is m a composite number?
True
Let i be (12/8)/(1/4). Let x be (-1)/(-2) + (-255)/i. Let g = -23 - x. Is g a composite number?
False
Let f(n) = -3*n - 2. Let k be f(-2). Is (-105)/(-10)*k/6 a composite number?
False
Let d(l) = l**2 - 6*l - 7. Let w be d(7). Suppose -2*j = -q + 18, w = q + j + 3*j - 42. Suppose 7 - q = -k. Is k prime?
True
Let s be (1 + -1)/(1 - -1). Suppose s - 8 = -4*v. Let q(u) = 4*u**3 + u**2 + u - 1. Is q(v) a composite number?
False
Let o(z) = -z**2 - 7*z. Let l be o(-5). Suppose 2*c - l = -3*c. Is 897/6 + (-1)/c prime?
True
Let h(z) = -2*z - 8. Let o be h(-6). Suppose -o*k + 0*q = 4*q - 16, 4*q - 6 = k. Suppose -b + y = 3*y + 5, k*b - 22 = 4*y. Is b a prime number?
True
Suppose -3*v - 4125 = -8*v - 3*r, -r + 4135 = 5*v. Suppose -5*i - 807 - v = 5*d, 0 = -2*i + 5*d - 619. Is -2*3/(12/i) prime?
False
Let s = -690 - -1419. Let i = s - 422. Is i a prime number?
True
Let f = 4 + -1. Let q = -1 + f. Is (-372)/(-8)*q/3 prime?
True
Suppose -4*r + 1168 + 828 = 0. Is r prime?
True
Let b = 0 - -3. Suppose 104 = -b*n - n. Is 2*(n/(-4) + -1) a composite number?
False
Is 314 - ((1 - -1) + -5) a prime number?
True
Let x be 2 - -1 - (-1 - 1). Let b(a) = -a - 4*a + 0 + x. Is b(-4) a prime number?
False
Let j(l) = -124*l + 21. Is j(-4) a prime number?
False
Suppose -6 = 3*n - 561. Is n prime?
False
Let f = -12 + 20. Let q = 4 - f. Is (3 + 74/q)*-2 prime?
True
Suppose -4*f = 2*l - 446, 2*l - 224 = -6*f + 4*f. Is f composite?
True
Suppose 3*m + m = 0. Let l = 2 - m. Suppose -3*f + 2*q + 15 = 0, 6 + 2 = 2*f - l*q. Is f a prime number?
True
Let g(h) = 260*h**2 + 5*h - 22. Is g(3) prime?
True
Let g be 5/3 + (-1)/(-3). Let o = -4 + g. Is o/(-6) - (-688)/6 a composite number?
True
Let a = 9 - 9. Suppose 2*l - 3*m = 101, -2*l - l + m + 169 = a. Is l composite?
True
Suppose 2*h = 5*g - 1846, -g + 1100 = 2*g - 5*h. Suppose -2*i = 0, 0*k + 5*k - g = -5*i. Is k composite?
True
Suppose 5*h - 6 - 9 = 0. Suppose 0*b - 57 = -h*b. Is b prime?
True
Let p = -2 + 7. Suppose 4*k + 0*t - p*t - 1621 = 0, 3*t = -4*k + 1645. Is k a prime number?
True
Let v(d) = -6*d - 4*d**2 + 3*d**3 - 6 + 11*d - 4*d**3. Let i be v(-5). Is ((-7)/2)/(3/i) prime?
True
Suppose -k - 23 = 3*o - 5*k, 2*o + 22 = 4*k. Let m be (-7)/o - (-3 + 5). Suppose m*v - 56 = v. Is v prime?
False
Let b(n) = -841*n**3 + 2*n**2 - 1. Let c(s) = 840*s**3 - 2*s**2 + s + 2. Let u(m) = 3*b(m) + 2*c(m). Let p be u(-1). Suppose -j = -5*j + p. Is j composite?
False
Suppose 8*z - 921 = 5*z. Is z a composite number?
False
Let g(l) = -2*l**2 - 1 + l**2 - 3*l**2. Let s be g(1). Let b(t) = -t**2 - 6*t - 1. Is b(s) composite?
True
Suppose 5*j = j + 796. Suppose 4*t = -5*s + 23, -5*s + 10*s = 15. Suppose -t*a - 266 = -4*q, -3*q - a + j = -3*a. Is q a composite number?
False
Let l be 176/18 - (-6)/27. Suppose 3*k + t - l = 0, k - t + 0 - 2 = 0. Suppose 5*c + 49 = k*j, -2*c + c = -5*j + 111. Is j a composite number?
False
Let s be (-2 + -10)*26/(-8). Suppose -3*t = -12 - 3. Suppose -3*x - x = -q - 32, q + s = t*x. Is x prime?
True
Let k be 3 - (-3 + 2)*-1. Suppose -3*z + 134 = k*c, 4*z + 268 = -0*c + 4*c. Is c prime?
True
Suppose -2*v = -3*v + 3. Suppose 0 = 5*u - d - 5, 3*u = -v*d - 0 + 3. Is 354/(-18)*-3*u a prime number?
True
Let g = 3 + -2. Let b = 0 - g. Let l = b - -20. Is l prime?
True
Suppose -2*h + a = -h - 13, 2*h - 21 = -3*a. Suppose 3*z - 5*z + 6 = 0. Suppose 6*n = z*n + h. Is n composite?
True
Is ((-1364)/(-66))/((-2)/(-21)) a prime number?
False
Let r = 2 - 0. Suppose 0 = r*q - 0*q - 174. Is q composite?
True
Let k(n) = 61*n**2 + 2*n + 3. Is k(-4) composite?
False
Suppose -288 = 4*i - j, 2*i = 4*i - j + 144. Let u be ((-833)/14)/(2/(-4)). Let y = i + u. Is y a prime number?
True
Is -4 - (64/(-2) + -1 + 4) a composite number?
True
Let g = 265 - 181. Suppose 278 = -0*j + 2*j. Let m = j - g. Is m a composite number?
True
Let u(i) = i**2 + 2*i + 4045. Is u(0) prime?
False
Let v(o) = 20*o**2 + 4*o - 3. Let a be (-1)/(7/(-2) - -3). Let m be v(a). Suppose -5*f = 3*k - 101 - 16, 0 = 5*f - 5*k - m. Is f prime?
False
Suppose 0 = -4*l + p + p + 8626, -5*l + 3*p = -10780. Is l a composite number?
True
Suppose 0*c - 970 = -5*c. Is c composite?
True
Suppose 2*y = 1262 - 368. Is y a composite number?
True
Suppose 0*h - 4*h + 8 = 0. Let d be 25/4 - 1/4. Is (h - d)/((-4)/6) a prime number?
False
Let n be 5 + -5 - 1*-99. Is (28/6)/(6/n) a composite number?
True
Is (-1757)/(-35)*(-1 - -6) prime?
True
Suppose 24 = 13*u - 9*u. Suppose u = -3*n, -3*h + 8*h = 3*n + 2081. Is h prime?
False
Let j = 1440 + -1027. Is j composite?
True
Let w = 325 + -26. Is w a prime number?
False
Let o(q) = 135*q + 8. Is o(3) a prime number?
False
Let c be (-2)/9 + 835/(-9). Let t = 68 - c. Is t composite?
True
Let i = 322 - -258. Suppose 0*c + i = 4*c. Is c a prime number?
False
Let u be 1 - 6/(2 - 0). Let c be u + 9*(-10)/(-3). Suppose -67 = -5*k + c. Is k composite?
False
Let g be 2/7 - (-51)/(-7). Let d = g - -7. Is d - (-2)/(2/7) prime?
True
Is (-10)/4*-6*1 composite?
True
Let s(v) = -2*v**2 - 29*v - 1. Let h(d) = 3*d**2 + 43*d + 1. Let r(p) = 5*h(p) + 8*s(p). Is r(-7) a composite number?
False
Suppose 2*o = 3*o. Suppose 4*a + 4 = 5*z - 21, o = -2*a - 2*z + 10. Let g = a - -15. Is g composite?
True
Let l be 7*((-1752)/(-21) - 2). Is (9/27)/(2/l) a prime number?
False
Let i(t) = 2*t + 9. Let d be i(-7). Let k = 32 - d. Is k composite?
False
Let u be (-1 + 1)/(-2) + 4. Suppose -5*x - 64 = -u*t, 5*t + 2*x + 3*x = 125. Suppose 5*k - 91 = -t. Is k a composite number?
True
Let m =
|
{
"pile_set_name": "DM Mathematics"
}
|
25. Suppose w(q) = 0. Calculate q.
-1, 2/7, 2
Factor 75 + 101/2*x**2 + 1/2*x**4 + 235/2*x + 17/2*x**3.
(x + 1)*(x + 5)**2*(x + 6)/2
Let p(n) be the second derivative of n**5/5 + 14*n**4/3 + 40*n**3 + 144*n**2 - 69*n. Factor p(v).
4*(v + 2)*(v + 6)**2
Let i(s) be the first derivative of 125*s**7/14 - 25*s**6 + 30*s**5 - 20*s**4 + 8*s**3 + 3*s**2 + 3. Let k(m) be the second derivative of i(m). Factor k(x).
3*(5*x - 2)**4
Let r(m) = -m - 1. Let g(k) = -k**2 + 31*k + 30. Let n(d) = -g(d) - 4*r(d). Let i be n(28). Factor 1/3*a**3 - a + 0*a**i - 2/3.
(a - 2)*(a + 1)**2/3
Let l(j) be the second derivative of j**4/42 - 41*j**3/21 + 40*j**2/7 + 582*j. Factor l(d).
2*(d - 40)*(d - 1)/7
Factor -12 + 472*x - 13924/3*x**2.
-4*(59*x - 3)**2/3
Let h be (124/8)/((-3)/6). Let t = h - -31. Solve 3/2*m**2 - 1/2*m + t + 1/2*m**4 - 3/2*m**3 = 0 for m.
0, 1
Let p = -13 + 3. Let d be p/(-4) + 12/8. Factor d*l**2 - 4*l**4 + 2*l**2 + l**4 - 3.
-3*(l - 1)**2*(l + 1)**2
Let q(p) be the third derivative of -p**6/1440 + 3*p**5/80 - 27*p**4/32 - p**3 + 8*p**2. Let s(y) be the first derivative of q(y). Find n such that s(n) = 0.
9
Let r(h) be the first derivative of h**6/1080 + h**5/30 + h**4/2 + 26*h**3/3 - 1. Let g(o) be the third derivative of r(o). Factor g(m).
(m + 6)**2/3
Let i(v) be the first derivative of -v**7/840 - v**6/480 + 7*v**2 + 8. Let w(z) be the second derivative of i(z). Factor w(l).
-l**3*(l + 1)/4
Let o(h) = 2*h**3 - 8*h**2 - 2*h. Let n(u) = 3*u**3 - 16*u**2 - 5*u. Let s(d) = -2*n(d) + 5*o(d). Suppose s(q) = 0. Calculate q.
0, 2
Let g(s) = 3*s**2 - s. Let o be g(1). Suppose p - b - b = 10, -2*p + 17 = -3*b. Factor 3*n**3 - 3*n**p - 3*n + 17*n**o - 2*n**2 + 12*n.
-3*n*(n - 3)*(n + 1)**2
Let t(f) be the second derivative of -f**7/1960 - f**6/840 + f**5/140 - 3*f**3/2 + 8*f. Let j(o) be the second derivative of t(o). Factor j(n).
-3*n*(n - 1)*(n + 2)/7
Suppose 17*s - 23*s + 42 = 0. Suppose s*y = 10*y + 10*y. Factor -2/3*c**5 + 0*c + 2/9*c**3 + 4/9*c**4 + 0*c**2 + y.
-2*c**3*(c - 1)*(3*c + 1)/9
Let p(w) be the first derivative of 19/2*w**2 - 6*w + 30 + 9/4*w**4 + 34/3*w**3. Factor p(o).
(o + 1)*(o + 3)*(9*o - 2)
Let z = -26/11 + 323/132. Let o(w) be the first derivative of 5 + 1/18*w**3 - 1/3*w + z*w**2. Factor o(i).
(i - 1)*(i + 2)/6
Suppose 1/5*o**2 + 0 + 1/10*o**3 - 3/10*o = 0. What is o?
-3, 0, 1
Let a(f) be the first derivative of 11 + 0*f + 0*f**2 + 1/20*f**5 + 1/12*f**3 + 1/8*f**4. Determine u, given that a(u) = 0.
-1, 0
Let t = 14 + -13. Let n(j) = -j**3 + j**2 - j. Let h(q) = -q**3 - q. Let g(o) = t*h(o) - 2*n(o). Solve g(k) = 0.
0, 1
What is h in 9*h + 64*h**3 - 21*h**2 + 62*h**3 - 3*h**4 - 111*h**3 = 0?
0, 1, 3
Let i(l) = 2*l + 17. Let c be i(-6). Let k(d) be the first derivative of -4 + 1/2*d**6 + 0*d + 0*d**2 + 0*d**4 - 3/5*d**c + 0*d**3. Find y such that k(y) = 0.
0, 1
Suppose -7*x + 11*x - 2 = 3*j, 2 = 3*x - 2*j. Factor -1/7*y**3 + 1/7*y - 2/7 + 2/7*y**x.
-(y - 2)*(y - 1)*(y + 1)/7
Let p be (8/(-6))/((-20)/18). Let i = 13/31 + 28/155. Find v, given that i*v**2 + 3/5 - p*v = 0.
1
Let n(f) = 4*f**2 + 27*f + 147. Let c(x) = -3*x**2 - 26*x - 146. Suppose -4*r = 0, -3*r + 9 - 11 = g. Let p(i) = g*n(i) - 3*c(i). What is d in p(d) = 0?
-12
Factor -2/5*o**2 + 52/5*o - 338/5.
-2*(o - 13)**2/5
Let b = -22 - -27. Factor v + 7/2*v**2 + 1/2*v**b + 5/2*v**4 + 0 + 9/2*v**3.
v*(v + 1)**3*(v + 2)/2
Let g(p) = -p**3 + 12*p**2 - 12*p + 14. Let x be g(11). Factor 6*l**x - 3 - 15/2*l + 3/2*l**5 - 3*l**2 + 6*l**4.
3*(l - 1)*(l + 1)**3*(l + 2)/2
Let o(i) be the third derivative of 17/24*i**4 + 0*i + 1/3*i**3 - 2*i**2 - 2 + 13/120*i**6 + 7/15*i**5. Solve o(s) = 0 for s.
-1, -2/13
Let x(y) = 3*y**3 + 20*y**2 - y - 14. Let b(a) = -9*a**3 - 58*a**2 + 2*a + 43. Let j(q) = 4*b(q) + 11*x(q). Factor j(h).
-3*(h - 1)*(h + 2)*(h + 3)
Factor 5*s**4 - 30*s**3 - 42*s**2 - 13*s - 47*s + 107*s**2 + 20.
5*(s - 2)**2*(s - 1)**2
Let y(f) be the first derivative of f**4/48 - f**3/12 + f**2/8 + 5*f - 25. Let b(q) be the first derivative of y(q). Factor b(o).
(o - 1)**2/4
Let d be 5 - -1*3903/(-781). Let a = 26/71 - d. What is f in a*f + 0 - 14/11*f**2 - 4/11*f**3 + 14/11*f**4 = 0?
-1, 0, 2/7, 1
Let p(t) be the second derivative of t**9/3024 - t**7/420 + t**5/120 - t**3 - 5*t. Let m(d) be the second derivative of p(d). Determine x, given that m(x) = 0.
-1, 0, 1
Suppose -2*o = -5*t + 4, 0 = 5*o + 2*t - 20 + 1. What is y in -110*y**2 + 2093*y**o - 375*y - 230*y - 2098*y**3 = 0?
-11, 0
Let v = -371 - -371. Let o(i) be the first derivative of v*i + 0*i**2 + 2 + 2/33*i**3. Determine d so that o(d) = 0.
0
Factor 4*h**5 - 21*h**4 - 43*h**3 - 73*h**2 + 873*h**2 + 283*h**3 - 51*h**4.
4*h**2*(h - 10)**2*(h + 2)
Suppose -11*a = 29 - 95. Let a*p + 8*p**2 - 26 + 11 + 2*p**3 + 15 = 0. What is p?
-3, -1, 0
Solve -1/4*i**3 - 2*i**2 + 0*i + 0 = 0 for i.
-8, 0
Let f be (-11 - -13 - (-290)/(-146))*1. Let z = f + 289/219. Determine x, given that -z*x + 4/3*x**2 + 0 = 0.
0, 1
Let x(g) be the first derivative of 12/25*g**5 + 3/5*g**2 + 11/5*g**3 - 10 + 39/20*g**4 + 0*g. Suppose x(t) = 0. What is t?
-2, -1, -1/4, 0
Let i(x) be the third derivative of -361*x**7/21 + 1786*x**6/15 - 5764*x**5/25 - 376*x**4/15 - 16*x**3/15 + 611*x**2. Factor i(h).
-2*(h - 2)**2*(95*h + 2)**2/5
Let v(h) be the third derivative of h**6/1140 + h**5/570 - 7*h**4/114 - 8*h**3/19 + h**2 + 139*h. Suppose v(g) = 0. What is g?
-3, -2, 4
Let i(a) be the first derivative of 4 + 1/10*a**4 - 1/10*a - 1/5*a**3 - 1/50*a**5 + 1/5*a**2. Find v such that i(v) = 0.
1
Let z(q) be the second derivative of 5*q**4/12 + 110*q**3/3 + 1210*q**2 + 54*q. Factor z(t).
5*(t + 22)**2
Let z(k) be the first derivative of k**3/9 + 4*k**2/3 - 20*k/3 - 39. Factor z(i).
(i - 2)*(i + 10)/3
Let w(b) be the third derivative of b**8/672 + b**7/420 - b**6/120 - b**5/60 + b**4/48 + b**3/12 - 396*b**2. Factor w(q).
(q - 1)**2*(q + 1)**3/2
Let f(c) be the third derivative of 3*c**7/350 - c**6/100 - c**5/100 - c**2 + 34*c. Factor f(z).
3*z**2*(z - 1)*(3*z + 1)/5
Solve -2*l - 2/7*l**4 + 2*l**3 + 20/7 - 18/7*l**2 = 0.
-1, 1, 2, 5
Suppose 0 = -20*k + 47 + 13. Let m(c) be the third derivative of 0*c**k + 0*c + 0 - 1/15*c**5 - 1/3*c**4 - 3*c**2 + 1/30*c**6. Factor m(j).
4*j*(j - 2)*(j + 1)
Suppose v = i - 2, -5*i + 4 = 3*v - 14. Factor 6*l - 5 - 4*l**i + 2 - 35*l - 3 - 21*l**2.
-(l + 2)*(l + 3)*(4*l + 1)
Suppose -257*i = -272*i + 30. Let w(b) be the second derivative of 1/2*b**i + 1/36*b**4 + 7*b + 2/9*b**3 + 0. Factor w(o).
(o + 1)*(o + 3)/3
Let k = -20067 - -11297727/563. Let i = 30444/3941 - k. Factor -2/7*u**5 + 0 - 36/7*u**3 + 0*u**2 - 16/7*u**4 + i*u.
-2*u*(u - 1)*(u + 3)**3/7
Let g be (10/(-28))/((-1536)/896). Let m(l) be the third derivative of 0*l**3 + 0 - g*l**4 + 9*l**2 - 1/4*l**5 + 0*l. Factor m(q).
-5*q*(3*q + 1)
Let m(z) be the second derivative of -z**9/3024 + z**8/240 - z**7/56 + z**6/40 - 19*z**3/3 + 16*z. Let j(v) be the second derivative of m(v). Factor j(w).
-w**2*(w - 3)**2*(w - 1)
Let c(x) be the first derivative of 25*x**4/4 + 290*x**3/3 - 445*x**2/2 + 130*x + 77. Factor c(q).
5*(q - 1)*(q + 13)*(5*q - 2)
Let k(i) be the second derivative of -i**6/6 - i**5/2 + 5*i**4/4 + 20*i**3/3 + 10*i**2 + 3*i + 37. Factor k(j).
-5*(j - 2)*(j + 1)**2*(j + 2)
Let d(t) be the first derivative of 0*t - 1/24*t**4 + t**2 - 1/180*t**5 + 1/120*t**6 + 1/18*t**3 - 6. Let h(q) be the second derivative of d(q). Factor h(g).
(g - 1)*(g + 1)*(3*g - 1)/3
Let y(s) = 28*s**3 - 20*s**2 - 3*s - 5. Let x(r) = 42*r**3 - 30*r**2 - 5*r - 7. Let o = -56 + 63. Let w(k) = o*y(k) - 5*x(k). Factor w(m).
-2*m*(m - 1)*(7*m + 2)
Let z be (1 + 124)*4/10. Suppose -p = 4*p + 4*d - 90, 0 = -5*p + 4*d + z. Let 5*b**3 - p*b**3 + 5*b**3 = 0. What is b?
0
Let l(r) = 0*r + 22 - r - 10*r**2 + 22*r**3 - 5*r - 4*r. Let g(f) = -9*f**3 + 4*f**2 + 4*f - 9. Let h = -24 + 12. Let x(m) = h*g(m) - 5*l(m). Factor x(v).
-2*(v - 1)**2*(v + 1)
Let b(r) be the first derivative of r**4/2 + r**3/3 - 3*r**2/2 + 2*r - 12. Let s be b(1). Factor 4/9*p**s + 14/9*p**3 + 0*p - 8/9*p**4 + 0.
-2*p**2*(p - 2)*(4*p + 1)/9
Let k = -3102 + 40334/13. Let l be (-1)/(-2) - 9/26. Factor 0 - l*v**2 + k*v.
-2*v*(v - 4)/13
Let x be (-16)/(-320)*24/(-15) - (-104)/50. Solve 11/4*n**x - 7/4*n**4 - 13/4*n**3 - 1 + 5/4*n**5 + 2*n = 0.
-1, 2/5,
|
{
"pile_set_name": "DM Mathematics"
}
|
, 0, 1
Determine h, given that -20*h**3 + 76*h**2 + 916*h + 180 = 0.
-5, -1/5, 9
Solve -3*v**5/2 - 3*v**4/2 + 3*v**3 = 0.
-2, 0, 1
Solve 32*o**3 - 548*o**2 + 68*o = 0.
0, 1/8, 17
Factor -2*t**2/5 + 8*t/5 + 2.
-2*(t - 5)*(t + 1)/5
Find q such that 5*q**4/6 - 11*q**3/3 + 19*q**2/6 + 11*q/3 - 4 = 0.
-1, 1, 2, 12/5
Determine c so that -64*c**4 + 704*c**3 - 1236*c**2 - 4550*c + 2500 = 0.
-2, 1/2, 25/4
Determine q, given that 2*q**5/3 + 4*q**4/3 - 14*q**3/3 + 8*q**2/3 = 0.
-4, 0, 1
Suppose 246*s**2 + 748*s + 30 = 0. What is s?
-3, -5/123
Suppose -2*g**5/3 - 10*g**4/3 - 8*g**3/3 + 32*g**2/3 + 64*g/3 + 32/3 = 0. Calculate g.
-2, -1, 2
Factor 2*h**2/3 + 848*h/3 + 89888/3.
2*(h + 212)**2/3
Let -12*u**3 + 2372*u**2 - 116820*u - 39204 = 0. What is u?
-1/3, 99
Factor -3*j**2/8 + 75*j/8 - 171/4.
-3*(j - 19)*(j - 6)/8
Solve 2*v**4/11 - 12*v**3/11 - 2*v**2/11 + 12*v/11 = 0.
-1, 0, 1, 6
Suppose -4*m**5 - 72*m**4 - 248*m**3 - 352*m**2 - 228*m - 56 = 0. What is m?
-14, -1
Factor 21*o**3 + 3*o**2 - 60*o + 36.
3*(o - 1)*(o + 2)*(7*o - 6)
Factor 5*r**3/2 + 203*r**2/2 - 85*r/2 - 123/2.
(r - 1)*(r + 41)*(5*r + 3)/2
What is r in -3*r**2 - 16941*r + 16944 = 0?
-5648, 1
Factor 2*k**3/5 + 182*k**2/5 - 948*k/5 + 1152/5.
2*(k - 3)*(k - 2)*(k + 96)/5
Suppose 4*u**3 - 72*u**2 - 516*u + 1288 = 0. Calculate u.
-7, 2, 23
Let -t**3/8 - 41*t**2/4 - 2233*t/8 - 2523 = 0. Calculate t.
-29, -24
Determine a so that 2*a**4/3 - 56*a**3/3 + 18*a**2 = 0.
0, 1, 27
Factor 2*i**2/7 - 244*i/7 - 496/7.
2*(i - 124)*(i + 2)/7
Factor o**3/7 + 78*o**2/7 - 855*o/7 + 2200/7.
(o - 5)**2*(o + 88)/7
Factor -2*x**3 + 242*x**2 - 7198*x - 7442.
-2*(x - 61)**2*(x + 1)
Factor 2*l**4/15 - 2888*l**3/15 + 521284*l**2/5 - 376367048*l/15 + 33967126082/15.
2*(l - 361)**4/15
Factor k**5 + 79*k**4 + 230*k**3 + 152*k**2.
k**2*(k + 1)*(k + 2)*(k + 76)
Factor -c**4 + 6*c**3 - 9*c**2 + 4*c.
-c*(c - 4)*(c - 1)**2
Factor 3*d**2 - 36*d + 33.
3*(d - 11)*(d - 1)
Factor -4*w**4/9 - 8*w**3/9 + 8*w/9 + 4/9.
-4*(w - 1)*(w + 1)**3/9
Factor 3*h**3/7 + 108*h**2/7 + 267*h/7 - 990/7.
3*(h - 2)*(h + 5)*(h + 33)/7
Solve -2*b**2 + 160*b - 3200 = 0 for b.
40
Let 4*m**2 - 284*m - 1848 = 0. What is m?
-6, 77
Solve 3*h**2/5 + 627*h/5 - 1908/5 = 0.
-212, 3
Factor 3*v**4 + 33*v**3 - 159*v**2 - 2133*v - 1944.
3*(v - 8)*(v + 1)*(v + 9)**2
Factor -2*b**3/3 + 52*b**2/3 - 338*b/3.
-2*b*(b - 13)**2/3
Find f, given that -3*f**2 - 162*f = 0.
-54, 0
Find l such that 3*l**4 - 6*l**2 + 3 = 0.
-1, 1
Suppose 3*z**5/4 - 15*z**4/4 - 21*z**3/4 + 15*z**2/4 + 9*z/2 = 0. Calculate z.
-1, 0, 1, 6
Factor -x**3/2 - 1905*x**2/2 - 1209675*x/2 - 256047875/2.
-(x + 635)**3/2
Factor t**5/7 + 3*t**4/7 - 4*t**3/7.
t**3*(t - 1)*(t + 4)/7
Suppose 2*p**3/9 - 10*p**2/9 - 4*p/9 + 16/3 = 0. Calculate p.
-2, 3, 4
Solve -14*d**2/5 + 356*d/5 + 208/5 = 0 for d.
-4/7, 26
Determine q so that 2*q**4/9 + 4*q**3 + 16*q**2/9 - 36*q - 34 = 0.
-17, -3, -1, 3
Factor -2*r**4/11 - 2*r**3 + 304*r**2/11.
-2*r**2*(r - 8)*(r + 19)/11
Let q**4 + 23*q**3 - 305*q**2 + 825*q = 0. Calculate q.
-33, 0, 5
What is b in -b**3 - 65*b**2 - 848*b - 3136 = 0?
-49, -8
Factor s**3/2 - 1383*s**2 + 1275126*s - 391888724.
(s - 922)**3/2
Find y such that y**5/3 - 37*y**4/6 + 125*y**3/3 - 370*y**2/3 + 148*y - 48 = 0.
1/2, 2, 4, 6
Factor 5*r**2 - 420*r + 8820.
5*(r - 42)**2
Solve -3*o**2/5 - 84*o - 4608/5 = 0.
-128, -12
Solve z**4/2 - 4*z**3 + 9*z**2 - 27/2 = 0 for z.
-1, 3
Let -5*s**4 - 90*s**3 - 165*s**2 + 1900*s - 2340 = 0. Calculate s.
-13, -9, 2
Factor 5*o**4 - 100*o**3 + 545*o**2 - 90*o - 3240.
5*(o - 9)**2*(o - 4)*(o + 2)
Determine u, given that -2*u**4/13 + 48*u**3/13 - 170*u**2/13 + 204*u/13 - 80/13 = 0.
1, 2, 20
Suppose -3*g**2/8 + 1047*g/4 + 1053 = 0. What is g?
-4, 702
Find l such that -20*l**2 - 24*l + 44 = 0.
-11/5, 1
Find m, given that -m**4/4 - 237*m**3/4 - 4620*m**2 - 113600*m + 384000 = 0.
-80, 3
Factor n**4 - 10*n**3 + 33*n**2 - 40*n + 16.
(n - 4)**2*(n - 1)**2
Determine b, given that -3*b**4 - 99*b**3 - 585*b**2 + 1479*b - 792 = 0.
-24, -11, 1
Solve -2*z**3/11 + 50*z**2/11 + 106*z/11 + 54/11 = 0.
-1, 27
Determine i, given that i**5 + 4*i**4 - 2*i**3 - 12*i**2 + 9*i = 0.
-3, 0, 1
Factor -2*p**3/3 - 494*p**2/3 - 164*p.
-2*p*(p + 1)*(p + 246)/3
Factor -4*g**2/3 + 32*g/3 - 16.
-4*(g - 6)*(g - 2)/3
Find u such that -3*u**4/4 + 261*u**3/4 + 891*u**2/2 - 2541*u + 2790 = 0.
-10, 2, 93
Let -4*k**3/9 - 104*k**2/9 + 620*k/9 = 0. What is k?
-31, 0, 5
Determine c, given that -36*c**4 + 2049*c**3/5 - 2262*c**2/5 - 2292*c/5 + 24 = 0.
-2/3, 1/20, 2, 10
What is y in -2*y**4 + 18*y**3 - 28*y**2 = 0?
0, 2, 7
Factor 3*s**3/4 - 21*s/4 + 9/2.
3*(s - 2)*(s - 1)*(s + 3)/4
Factor j**2/4 - 189*j + 755/4.
(j - 755)*(j - 1)/4
Determine l so that l**2/2 + 11*l - 23/2 = 0.
-23, 1
Factor -25*o**5 + 20*o**4 - 4*o**3.
-o**3*(5*o - 2)**2
Find p, given that 3*p**2/2 + 8418*p + 11810454 = 0.
-2806
Let r**4 - 47*r**3 - 97*r**2 - 49*r = 0. Calculate r.
-1, 0, 49
Factor 3*k**4 - 15*k**3 - 948*k**2 + 960*k.
3*k*(k - 20)*(k - 1)*(k + 16)
Factor -5*f**4 - 60*f**3 - 100*f**2.
-5*f**2*(f + 2)*(f + 10)
Factor -2*x**4 - 22*x**3 - 68*x**2 - 48*x.
-2*x*(x + 1)*(x + 4)*(x + 6)
Suppose -10*g**3 - 15*g**2 + 25*g + 30 = 0. What is g?
-2, -1, 3/2
Factor 15*l**2 - 4026*l + 1350723/5.
3*(5*l - 671)**2/5
Determine o so that -2*o**3/11 - 2*o**2 - 52*o/11 - 32/11 = 0.
-8, -2, -1
Factor w**4/4 - 23*w**3/2 - w**2 + 46*w.
w*(w - 46)*(w - 2)*(w + 2)/4
Factor 5*a**4 - 2930*a**3 + 432165*a**2 - 855560*a + 426320.
5*(a - 292)**2*(a - 1)**2
Factor -4*p**3/7 + 16*p**2 + 1300*p/7 + 1184/7.
-4*(p - 37)*(p + 1)*(p + 8)/7
Determine x so that -x**2 + 1442*x - 519841 = 0.
721
Suppose -2*p**3 + 22*p**2 - 60*p = 0. Calculate p.
0, 5, 6
Factor -f**3/5 - 14*f**2/5 + 4*f/5 + 56/5.
-(f - 2)*(f + 2)*(f + 14)/5
Determine t so that 5*t**3 + 315*t**2 + 595*t - 915 = 0.
-61, -3, 1
Find n such that 2*n**4/11 - 2*n**3/11 = 0.
0, 1
Solve 20*z**4/3 - 308*z**3/3 + 100*z**2/3 + 308*z/3 - 40 = 0 for z.
-1, 2/5, 1, 15
Suppose -z**3 + 20*z**2 - 19*z = 0. Calculate z.
0, 1, 19
Factor 4*b**4/7 + 8*b**3/7 - 4*b**2/7 - 8*b/7.
4*b*(b - 1)*(b + 1)*(b + 2)/7
Factor 2*q**3/5 + 31*q**2/5 - 26*q + 57/5.
(q - 3)*(q + 19)*(2*q - 1)/5
What is x in 2*x**5 - 14*x**4 - 42*x**3 + 38*x**2 + 136*x + 72 = 0?
-2, -1, 2, 9
Factor -w**4/2 + 6*w**3 - 18*w**2.
-w**2*(w - 6)**2/2
Let -4*l**2 - 188*l = 0. Calculate l.
-47, 0
Let 81*q**5/4 + 117*q**4/4 - 152*q**3 - 314*q**2 - 116*q - 12 = 0. Calculate q.
-2, -2/9, 3
Factor 4*j**2 + 11524*j + 11520.
4*(j + 1)*(j + 2880)
Factor i**5 + 83*i**4 + 1915*i**3 + 7917*i**2 + 6084*i.
i*(i + 1)*(i + 4)*(i + 39)**2
Solve 2*k**4/19 - 8*k**3 + 152*k**2 = 0.
0, 38
Factor z**2 - 7*z + 12.
(z - 4)*(z - 3)
Factor -25*v**5 - 620*v**4 - 4084*v**3 - 2976*v**2 - 576*v.
-v*(v + 12)**2*(5*v + 2)**2
Solve 3*q**3 - 810*q**2 + 53856*q + 110976 = 0.
-2, 136
Factor -5*o**3 + 80*o**2 + 85*o.
-5*o*(o - 17)*(o + 1)
Solve 4*x**2 + 72*x - 76 = 0 for x.
-19, 1
Determine a so that a**5/3 + 7*a**4 + 127*a**3/3 + 109*a**2 + 376*a/3 + 52 = 0.
-13, -3, -2, -1
Suppose -b**5/5 + 2*b**4 + 3*b**3/5 - 28*b**2/5 - 4*b = 0. Calculate b.
-1, 0, 2, 10
Factor -p**3 + 19*p**2 + 88*p + 92.
-(p - 23)*(p + 2)**2
What is b in 68694*b**2/5 - 1284*b/5 + 6/5 = 0?
1/107
Factor 2*w**2/9 + 13108*w/9 + 21477458/9.
2*(w + 3277)**2/9
Suppose -34*c**2/3 - 106*c/3 - 4 = 0. Calculate c.
-3, -2/17
Solve -2*q**3/5 + 26*q**2/15 + 272*q/15 - 40 = 0.
-6, 2, 25/3
Determine h so that -23*h**2/3 + 2*h/3 = 0.
0, 2/23
Solve -3*r**2 + 5274*r - 2317923 = 0 for r.
879
Suppose 2*q**5/7 - 34*q**4/7 + 18*q**3/7 + 250*q**2/7 - 428*q/7 + 192/7 = 0. What is q?
-3, 1, 2, 16
Find j such that -4*j**4 + 232*j**3 - 2532*j**2 - 26368*j + 28672 = 0.
-7, 1, 32
Factor -4*s**2 + 60*s - 104.
-4*(s - 13)*(s - 2)
Find n such that 5*n**5 + 30*n**4 + 30*n**3 - 100*n**2 - 195*n - 90 = 0.
-3, -1, 2
Factor -p**2 - p.
-p*(p + 1)
Factor -d**4/3 - 21*d**3 - 486*d**2 - 4860*d - 17496.
-(d + 9)*(d + 18)**3/3
Factor -10*q**3 + 195*q**2 - 575*q + 240.
-5*(q - 16)*(q - 3)*(2*q - 1)
Factor 5*a**3 + 20*a**2 - 1680*a - 14400.
5*(a - 20)*(a + 12)**2
Factor l**4/3 - 12*l**3 + 233*l**2/3 + 90*l.
l*(l - 27)*(l - 10)*(l + 1)/3
Factor -5*d**2 - 115*d - 300.
-5*(d + 3)*(d + 20)
Factor -9*n**4 + 93*n**3 - 204*n**2 - 180*n.
-3*n*(n - 6)*(n - 5)*(3*n + 2)
Factor -2*f**2 - 58*f + 19
|
{
"pile_set_name": "DM Mathematics"
}
|
the terms in 1933 + 1923 + 1914 + 17*b**2 - 5770.
17*b**2
Collect the terms in -26693*i**3 + 53820*i**3 - 27128*i**3.
-i**3
Collect the terms in 175*f**3 + 77*f**3 - 12 - 67*f**3 + 112*f**3.
297*f**3 - 12
Collect the terms in 4180*r**2 - 30002*r**2 - 27819*r**2.
-53641*r**2
Collect the terms in -10*m**2 - 2*m**3 - 28*m + 49*m - 23*m + 0*m**3.
-2*m**3 - 10*m**2 - 2*m
Collect the terms in 3*v**3 - 1160*v + 11*v**3 + 578*v + 582*v.
14*v**3
Collect the terms in -79408 + 30*r**3 + 79408.
30*r**3
Collect the terms in 12765*w**2 - 6389*w**2 - 6385*w**2.
-9*w**2
Collect the terms in 294*i**3 - 273*i**3 - 30*i**3.
-9*i**3
Collect the terms in -42*h + 5 - 2 - 12 + 5.
-42*h - 4
Collect the terms in -13*h + 190*h**3 + 16*h - 14*h.
190*h**3 - 11*h
Collect the terms in 0*p**3 + 5*p**3 + 39*p**2 + 40*p**2 + 4*p**3 - 7*p**3.
2*p**3 + 79*p**2
Collect the terms in -74 - 274*i + 74.
-274*i
Collect the terms in -8 + 17 - 6*v + 5 - 14.
-6*v
Collect the terms in 3 - 3 + 341*v - 516*v + 300*v.
125*v
Collect the terms in 5 + 7 - 12 + 10*c**2 + 108*c**2.
118*c**2
Collect the terms in g + 52 - 170 + 26 - 185.
g - 277
Collect the terms in -l**3 - 184*l**2 + 5*l + 0*l**3 - 2*l**3 - 6*l.
-3*l**3 - 184*l**2 - l
Collect the terms in 5511*p**2 - 1801*p**2 + 17*p**3 - 1854*p**2 - 1856*p**2.
17*p**3
Collect the terms in -13*v**2 - 62*v**2 - 12*v**2 + 92*v**2.
5*v**2
Collect the terms in 150*x - 421*x + 155*x + 142*x.
26*x
Collect the terms in -16048*m**2 + 8019*m**2 + 8014*m**2.
-15*m**2
Collect the terms in -321*b + 11 - 13 + 2 + 323*b.
2*b
Collect the terms in -659*u**3 - 4 + 3*u + 7 - u + 0.
-659*u**3 + 2*u + 3
Collect the terms in f**2 + 3 - f**2 - 5*f**2 - 2*f**2.
-7*f**2 + 3
Collect the terms in 383*c - 661*c + 297*c.
19*c
Collect the terms in 176*g**2 - 1 - 1 - 3 + 244*g**2.
420*g**2 - 5
Collect the terms in -11453*b**2 + 5730*b**2 + 5734*b**2.
11*b**2
Collect the terms in -123*y + 591*y**2 - 55*y**2 + 123*y.
536*y**2
Collect the terms in 51*g**3 + 60*g**3 + 53*g**3 - 110*g**3 - 61*g**3.
-7*g**3
Collect the terms in 472*x**2 - 1057*x**2 + 512*x**2.
-73*x**2
Collect the terms in -133850912*j + 11*j**3 + 133850912*j - 12*j**3.
-j**3
Collect the terms in -122*s - 58*s - 7*s + 45*s.
-142*s
Collect the terms in q**2 - 296618429 + 296618429.
q**2
Collect the terms in 36216*p**2 - 72100*p**2 + 36098*p**2.
214*p**2
Collect the terms in 16*n**2 - 11*n**2 + 7*n - 52*n**2 + 45*n**2 - 7*n.
-2*n**2
Collect the terms in 16*w + 187*w**3 - 15*w + 2065*w**3.
2252*w**3 + w
Collect the terms in -17596*v**3 + 17599*v**3 + 32*v - 32*v.
3*v**3
Collect the terms in -203*x**2 + 247*x**2 + 243*x**2.
287*x**2
Collect the terms in 8 - 76*a + 15 - 19*a - 10*a - 23.
-105*a
Collect the terms in 2238*s - 1135*s - 1111*s.
-8*s
Collect the terms in 0*r - 257988400*r**2 + 0*r + 257988406*r**2.
6*r**2
Collect the terms in 2*j**2 + 15*j**3 - 16*j**2 + 0*j**2 + j**2.
15*j**3 - 13*j**2
Collect the terms in -2*z**3 - 623810*z - 5*z**3 + 623810*z.
-7*z**3
Collect the terms in -5*c**2 + 14278*c + 14002*c - 28280*c.
-5*c**2
Collect the terms in -24078*j - 15302*j - 1003*j.
-40383*j
Collect the terms in 4962 - 9924 + 4962 - 3*j**3 - j**3.
-4*j**3
Collect the terms in 152 - 24*q - 312 + 159.
-24*q - 1
Collect the terms in 5*m**2 - m**2 - 2*m**2 + 6*m**2 - 2*m**2 - 22*m**2.
-16*m**2
Collect the terms in -32*j - 7*j**3 - 155*j**2 + 155*j**2.
-7*j**3 - 32*j
Collect the terms in -8*s**2 + 24*s**2 - 8*s**2 + 49*s**2 + 63*s**2.
120*s**2
Collect the terms in 1504*q**3 + 231*q - 231*q + 11*q**3.
1515*q**3
Collect the terms in -9*s + 136 + 7 - 2*s**3 + 3*s**3 + 9*s.
s**3 + 143
Collect the terms in -104686*i - 29196*i - 111515*i.
-245397*i
Collect the terms in 98*t + 57*t - 35*t - 5*t + 54*t.
169*t
Collect the terms in 26*y - 3 - 26*y + 1 + 1286*y**3.
1286*y**3 - 2
Collect the terms in 18*b + 18*b + 72*b - 105*b - 5.
3*b - 5
Collect the terms in -7*z**3 + 2480*z**2 - 5173*z**2 + 2693*z**2.
-7*z**3
Collect the terms in 6281*k - 6281*k - 2353*k**3.
-2353*k**3
Collect the terms in 618*v**2 + 3393 - 3393.
618*v**2
Collect the terms in -44*l + 1 - 6*l - 70*l + 1.
-120*l + 2
Collect the terms in 11*c**2 - 3*c**2 + 4*c**2 - 6*c**2.
6*c**2
Collect the terms in 5*b + 5*b - b + 11*b - 27*b.
-7*b
Collect the terms in -12 + 12 + 116*y**2 + 117*y**2 + 26*y**2.
259*y**2
Collect the terms in 64 - 7*x**3 + 15*x**3 - 64 - 6*x**3.
2*x**3
Collect the terms in 3 - 3 + 5 - 372*d**3 - 6 - 94*d**3.
-466*d**3 - 1
Collect the terms in 27334*c - 82011*c + 9*c**3 - 3*c**3 + 27338*c + 27339*c.
6*c**3
Collect the terms in -60538 + 20176 + 20177 + j**2 + 20185 - 13*j**2.
-12*j**2
Collect the terms in 981*p**3 - 492 - 150*p**3 + 492.
831*p**3
Collect the terms in -37*k + 111*k - 34*k - 33*k.
7*k
Collect the terms in 22675990*a - 2 + 2 - 22675985*a.
5*a
Collect the terms in -5 - 6 - 2 + 52*f + 14 - 4.
52*f - 3
Collect the terms in -22*h**3 + 3*h**3 - 5*h**3 + 1989.
-24*h**3 + 1989
Collect the terms in -19861 + 19861 + 892*z.
892*z
Collect the terms in -42 - 11 + 53 - 4*a**3 + 17*a**3.
13*a**3
Collect the terms in 3*q - 76*q - 20*q + q.
-92*q
Collect the terms in 102*j - 33*j - 1039*j - 1185*j.
-2155*j
Collect the terms in 8 - 3 - 8 + b**2 - 1 + 1071*b.
b**2 + 1071*b - 4
Collect the terms in 99*m + 0*m**3 - m**3 + 1188*m + 0*m**3.
-m**3 + 1287*m
Collect the terms in 643*o**3 + 384*o**3 - 1048*o**3.
-21*o**3
Collect the terms in 1 + 3 - 2 + 34*i + 12*i - 36*i.
10*i + 2
Collect the terms in 250*f**2 + 211*f**2 - 718*f**2 + 255*f**2.
-2*f**2
Collect the terms in 6*n**3 - 201 - 32*n**3 + 99 + 110.
-26*n**3 + 8
Collect the terms in -963*p - 720*p - 2235*p - 3922*p.
-7840*p
Collect the terms in -2 - 317*n**2 + 2 - 333*n**2.
-650*n**2
Collect the terms in 117*v**2 + 556 - 277 - 279.
117*v**2
Collect the terms in 131*q**3 + 360*q - q**3 - 179*q - 9 - 181*q.
130*q**3 - 9
Collect the terms in 1319*n**2 - 155*n**2 + 2091*n**2 - 383*n**2.
2872*n**2
Collect the terms in 122593233 - 122593233 - 3*l.
-3*l
Collect the terms in 212*b**2 + 207*b**2 - 170*b**2 + 326*b**2.
575*b**2
Collect the terms in 0 - 162*d + 0 + 814*d.
652*d
Collect the terms in 631*q - 1263*q - 2*q**2 + 677*q.
-2*q**2 + 45*q
Collect the terms in 43*s**3 + 125*s**3 - 171*s**3.
-3*s**3
Collect the terms in 3 + 1207*m - 1206*m - 3.
m
Collect the terms in -4*f**2 + 495 - 976 + 481.
-4*f**2
Collect the terms in 44*k**3 - 15*k**3 - 17*k**3.
12*k**3
Collect the terms in -113 - 67 + y - 9*y**2 + 7*y**2.
-2*y**2 + y - 180
Collect the terms in 3*s + 13*s**2 + 3*s**2 - 9*s**2.
7*s**2 + 3*s
Collect the terms in 127*m**3 + 123*m**3 + 72*m**3 - 318*m**3.
4*m**3
Collect the terms in -13*i**3 + 43*i**3 - 59*i**3 + 46*i**3.
17*i**3
Collect the terms in -25 + 12 + 6*f + 7.
6*f - 6
Collect the terms in 601*i - 601*i + i**2 + 7 + 4*i**3 - 3*i**3.
i**3 + i**2 + 7
Collect the terms in -2*f + 2*f**2 + 1857457031018 - 1857457031018 + 2*f.
2*f**2
Collect the terms in 11 - 10*y**2 - 7 + 9*y**2.
-y**2 + 4
Collect the terms in 102*d + 170*d + 3 - 2*d**2 + 154*d - 146*d.
-2*d**2 + 280*d + 3
Collect the terms in -90 + 48 - 14*t**2 + 42.
-14*t**2
Collect the terms in -u - 270106*u**3 + 269982*u**3 + 0*u**2 + 0*u**2.
-124*u**3 - u
Collect the terms in 266*z + 7*z + 195*z + 518*z.
986*z
Collect the terms in -278*i**3 - 277*i**3 - 288*i**3 - 284*i**3 - 280*i**3 + 1412*i**3.
5*i**3
Collect the terms in -657501*z + 657501*z - 10*z**2.
-10*z**2
Collect the terms in -59*p + 15*p + 23*p - 4*p.
-25*p
Collect the terms in -12 + 4*a + 193*a**3 + 0 + 12 - 6*a.
193*a**3 - 2*a
Collect the terms in 282*s - 1 + 1 + 204*s - 112*s.
374*s
Collect the terms in -511*j + 263*j + 258*j - 38*j**3.
-38*j**3 + 10*j
Collect the terms in 177*y + 2 - 599*y - 391*y.
-813*y + 2
Collect the terms in 4*m**2 + 8314 - 8314 - 8*m**2 + 3*m**2.
-m**2
Collect the terms in 5858 + 44*h - 22*h - 24*h.
-2*h + 5858
Collect the terms in 8006*l**2 - 16016*l**2 + 8010*l**2 + 29*l**3.
29*l**3
Collect the terms in -83*m**2 + 182*m**2 - 97*m**2.
2*m**2
Collect the terms in 0*w + 31318*w**3 - 15634*w**3 - 15670*w**3 + 0*w.
14*w**3
Collect the terms in -8*z**2 - 80 - 150 - 145 + 375.
-8*z**2
Collect the terms in 36125*v - 3*v**3 - 36125*v.
-3*v**3
Collect the terms in -3*z - 11*z + 22*z - 2*z + 12*z.
18*z
Collect the terms in -1071 - p + 2*p + 754 + 682.
p + 365
Collect the ter
|
{
"pile_set_name": "DM Mathematics"
}
|
3)/(x*(x/(x**(-3/4)/x))/x)) assuming x is positive.
x**(-31/4)
Simplify (g*g**(7/8))/g*g/((g**17/g)/g) assuming g is positive.
g**(-105/8)
Simplify ((p*p*p/((p*p/p**(4/7)*p)/p)*p*p)/p*p**(-3/5)/p)**(6/11) assuming p is positive.
p**(204/385)
Simplify b**(-2/9)*b*(((b*b*b*b**(1/4)*b)/b)/b)/b*b*b**9*b/b**(-2/21)*b assuming b is positive.
b**(3559/252)
Simplify (x**0*x)/(x/x**0)*x*x*x**(-5/4)/x*x**(-5) assuming x is positive.
x**(-21/4)
Simplify (b*b*b**(-1/2))**(8/15)*b**2/(b*b/(b/(b*b*b**(-3)/b))) assuming b is positive.
b**(19/5)
Simplify (((m/(m**(-4)*m))/m)/(m*m*(m**(-2/3)*m)/m))/((m*m*m*m*m**(-4/3)*m)/m**(-4/9)) assuming m is positive.
m**(-22/9)
Simplify ((y/y**(3/7))/y*y/(y*y**(-8/3)*y)*y)**(-21) assuming y is positive.
y**(-47)
Simplify ((o**(-3/7)*o)/(o*o**(-3/4)))**(-9/7) assuming o is positive.
o**(-81/196)
Simplify (m*m**(-1/14)*(m*m*m**(-3))/m*m)**(-29) assuming m is positive.
m**(29/14)
Simplify (t/t**(2/9))**33 assuming t is positive.
t**(77/3)
Simplify (x*x**8*x/(x*x/(x**6*x)*x))**(-6/25) assuming x is positive.
x**(-84/25)
Simplify (((w**(4/33)*w*w)/w)/w)**(-2/71) assuming w is positive.
w**(-8/2343)
Simplify ((h/h**(-1/4)*h)/h)**(-28/9)/(h/h**7*h/h**(2/11)) assuming h is positive.
h**(128/99)
Simplify v/((v*v**(3/8)*v)/v*v)*v/v**(-1/2)*v**(-3)/(v**(-3/5)/v*v) assuming v is positive.
v**(-91/40)
Simplify j*((j**(-2/27)/j*j)/j)/j*j*j**6*(j**2/j)/j**4 assuming j is positive.
j**(79/27)
Simplify (n**(-1))**(-2/27)/((n/(n*n/(n/n**(2/7))*n))/n*n/n**(6/5)) assuming n is positive.
n**(2419/945)
Simplify (u**(-2/3)*u)**(-12)*(u**(-1/3))**(2/41) assuming u is positive.
u**(-494/123)
Simplify (m/m**(-3)*m**7)/(m**(-2/11)*(m*m/(m**(-5)/m))/m) assuming m is positive.
m**(46/11)
Simplify (v**(-1/3))**(5/7)*v**(-3/5)/(v/(v**(2/5)/v)*v) assuming v is positive.
v**(-361/105)
Simplify (q*q**(-1)/q)**(-31) assuming q is positive.
q**31
Simplify v**14*v*v**(-18)*v assuming v is positive.
v**(-2)
Simplify (t/t**(2/3))**(-22/3)*t**(-6)/t*t/(t**(1/3)*t) assuming t is positive.
t**(-88/9)
Simplify ((f**(2/13)/f)/f**(2/21))/(f**1*f/(f**(-2)*f)*f) assuming f is positive.
f**(-1349/273)
Simplify (a/((a*a**1)/a))**(43/3)/((a/(a/a**(1/5)))/a*a*a**(-1/3)) assuming a is positive.
a**(2/15)
Simplify k**7*k*(k**3/k)/k*k*(k**(1/2)*k)/(k*k**(2/19)*k) assuming k is positive.
k**(357/38)
Simplify (g**(2/5))**(-6/19) assuming g is positive.
g**(-12/95)
Simplify ((t*t/(t/(t*t**(2/5)*t))*t*t)**(-17))**(-3/10) assuming t is positive.
t**(1377/50)
Simplify a/(a**(1/5)*a)*a**(1/9)*a assuming a is positive.
a**(41/45)
Simplify (f/(f**(-22)/f))/(f*f/f**(-16/7)*f*f*f) assuming f is positive.
f**(117/7)
Simplify (((a/((a**(-3/5)/a)/a))/a*a)/(a/a**(-1/27)))**(14/9) assuming a is positive.
a**(4844/1215)
Simplify ((((a/a**(3/2))/a)/a)/(((a/a**11)/a)/a))**(2/19) assuming a is positive.
a
Simplify (m**(2/7)*m)**(2/39)*(((m*((m/(m*m/m**1))/m)/m)/m)/m)**(-10/3) assuming m is positive.
m**(916/91)
Simplify v**(-10/3)*v/(v/(v/v**(-18))) assuming v is positive.
v**(47/3)
Simplify ((n*n*n**(1/6))/(n**(-2)/n*n))/(n**4/(n*n/n**5)) assuming n is positive.
n**(-17/6)
Simplify ((p/(p*p**(-4)/p)*p)/p)**(1/30) assuming p is positive.
p**(1/6)
Simplify (y**(2/5))**(-2/69)*y**(2/9)*y*y**4/y assuming y is positive.
y**(4358/1035)
Simplify (a/(a/((a**(19/4)/a)/a)*a)*a)/a**(-22) assuming a is positive.
a**(99/4)
Simplify ((u**(-2)*u)**(-5))**(-31/5) assuming u is positive.
u**(-31)
Simplify (((q**(-1/3)/q)/q*q)/(q**(7/3)/q*q))**(11/3) assuming q is positive.
q**(-121/9)
Simplify g**(2/43)/((g/(g/(g/g**(-1/16))))/g) assuming g is positive.
g**(-11/688)
Simplify (((m*m**(-12))/m)/m**(-1/28))**(-16) assuming m is positive.
m**(1340/7)
Simplify ((u/(((u/u**(2/7))/u*u)/u))/(u*u**(-1/9)))/(((u/u**1)/u)/((u/(u/((u**3/u)/u*u)*u))/u*u)) assuming u is positive.
u**(151/63)
Simplify (h**(-6))**(-19/6) assuming h is positive.
h**19
Simplify (j**10)**(-16/3) assuming j is positive.
j**(-160/3)
Simplify (y**(-2/9)/(y/(y**(3/8)*y)*y))**(-45) assuming y is positive.
y**(305/8)
Simplify ((o/(o**6*o*o))/o*o*(o/(o**(7/3)*o*o))/o)**15 assuming o is positive.
o**(-170)
Simplify b/b**27*b*b*b*b*(b*b*b*b**(-15/2)*b*b*b*b)/b*b assuming b is positive.
b**(-45/2)
Simplify (d**(-15)/d)/(d*d**(4/5)*d) assuming d is positive.
d**(-94/5)
Simplify (x**(-1/3)*x)/(x**(-1/33)/x) assuming x is positive.
x**(56/33)
Simplify (x/(x**0*x*x)*x)**(-34)/(x**6/(x**(-7)/x*x*x)) assuming x is positive.
x**(-12)
Simplify ((l**(-3))**(-2/13))**(-32) assuming l is positive.
l**(-192/13)
Simplify (k**(-2))**7 assuming k is positive.
k**(-14)
Simplify ((x*(x**(6/17)*x)/x*x)/x)/x**3 assuming x is positive.
x**(-28/17)
Simplify (r**(-5/4))**(-10) assuming r is positive.
r**(25/2)
Simplify (j**2*j)**(-1/2)*(j/(j*j*j*j*j*j**(-1))*j)/(j*j/(j/(j/j**(2/17)))*j) assuming j is positive.
j**(-217/34)
Simplify k*(k**(-6)*k)/k*k*k**(-2/11)*(k*k**(-1/3))/k*k**3*k*k assuming k is positive.
k**(16/33)
Simplify k**(-2/9)*(k*k/k**16)/k assuming k is positive.
k**(-137/9)
Simplify (l/l**(-2))**(-7)*l**8*l**8 assuming l is positive.
l**(-5)
Simplify ((g*g**2*g)/g)**(-1/48) assuming g is positive.
g**(-1/16)
Simplify x**(1/5)*x**36 assuming x is positive.
x**(181/5)
Simplify (c**0)**(21/4) assuming c is positive.
1
Simplify (n**(1/3))**(-1/8)*(n**0)**(12/19) assuming n is positive.
n**(-1/24)
Simplify (b**(2/17)*b*b**(-5))**(-31) assuming b is positive.
b**(2046/17)
Simplify ((n/(n*n*n/(n*n*n**(2/3)*n)))/n)**23/(n/(n*n/((n*n**(2/7))/n)))**(2/9) assuming n is positive.
n**(976/63)
Simplify b**(-35)/b**(-40) assuming b is positive.
b**5
Simplify (s*s*(s**(3/17)*s)/s)/((s/(s*s*s/s**(-8/7)))/s) assuming s is positive.
s**(752/119)
Simplify (i/(i*i**(-2/33))*i)/(((i/i**9*i)/i)/i) assuming i is positive.
i**(332/33)
Simplify (v/(v*v**0*v))**(3/47) assuming v is positive.
v**(-3/47)
Simplify b**(-3/2)*b**(-1/9) assuming b is positive.
b**(-29/18)
Simplify (j**(-12))**(-5) assuming j is positive.
j**60
Simplify (q/(q*q*q/(q**(12/11)/q)*q)*q)/q**(-3/4) assuming q is positive.
q**(-51/44)
Simplify ((u*u**(-3/7))/((u/(u**(-1/3)/u))/u))**(-4) assuming u is positive.
u**(64/21)
Simplify i**18/(i/(i**(4/7)*i)) assuming i is positive.
i**(130/7)
Simplify (i/(i*i**5)*i**(1/2))/(i**(-1/3))**(1/11) assuming i is positive.
i**(-295/66)
Simplify d*d**(-3/5)*d**4 assuming d is positive.
d**(22/5)
Simplify (p*p/((p**(-6)/p)/p)*p)**(2/23) assuming p is positive.
p**(22/23)
Simplify (c**4/c**1)/((c*c/c**3*c)/(c/c**(-1/6))) assuming c is positive.
c**(25/6)
Simplify n/(n/(n/(n/(n**(3/20)*n)*n*n)))*n*n**13*n assuming n is positive.
n**(283/20)
Simplify (p**10/p**(-1/12))**(-9/4) assuming p is positive.
p**(-363/16)
Simplify (t**(-5)*t*(t*t/t**(1/6))/t*t*t*t*t*t)**(-1/14) assuming t is positive.
t**(-11/84)
Simplify (n**(-3/4)*n/((n*n/n**(-2)*n)/n*n))/(n**3*n**(-4/5)) assuming n is positive.
n**(-139/20)
Simplify (t*t/t**3)**(-2/25)/(t/t**(2/7)*t**8) assuming t is positive.
t**(-1511/175)
Simplify (g*g**8*g*g*g**6/g*g)/(g**(2/5))**(1/8) assuming g is positive.
g**(339/20)
Simplify (n**(-3/11)/n*n*n*n**9)**38 assuming n is positive.
n**(4066/11)
Simplify (i**(-1/9)/i*i)/i*i*i*i*(i**22*i)/i*i assuming i is positive.
i**(224/9)
Simplify k**(3/7)*k**7 assuming k is positive.
k**(52/7)
Simplify l**14*l*l**20/l assuming l is positive.
l**34
Simplify (l**(-1/4))**(-2/23)*(((l*l*l*l**2)/l)/l)/l*l*l*l**(-2)*l assuming l is positive.
l**(139/46)
Simplify ((n/n**0)/(n/n**(-1/9)))**35 assuming n is positive.
n**(-35/9)
Simplify i**18*i/i**(-18) assuming i is positive.
i**37
Simplify (x/x**(5/6))/x*x*x**(13/3)*x assuming x is positive.
x**(11/2)
Simplify (x**(2/7)/x)/x**(-1/4)*x**(-6)/((x**(1/4)*x*x)/x) assuming x is positive.
x**(-54/7)
Simplify (b**(-1/2)/b)**39/(b**0)**(-2/67) assuming b is positive.
b**(-117/2)
Simplify (u*u*u**5)**(-11/2) assuming u is positive.
u**(-77/2)
Simplify (t/(t/(t*t*t**(-1/4)*t))*((t**(-3/5)*t)/t*t)/t)**(-22/7) assuming t is positive.
t**(-473/70)
Simplify (a**(-3))**13/(a**0*a*a**1) assuming a is positive.
a**(-41)
Simplify (z**(3/4)/z)/(z**29/z) assuming z is positive.
z**(-113/4)
Simplify (r/r**1)**(-1/13)/(r**1)**(-23/5) assuming r is positive.
r**(23/5)
Simplify h**(-1/9)/h**(-24) assuming h is positive.
h**(215/9)
Simplify (b/((b/(b/(b**(3/7)*b))*b)/b)*b)/(b**(
|
{
"pile_set_name": "DM Mathematics"
}
|
24 = -5*q. Suppose -o = m + 8. Let t be (m/15)/(1/(-3)). Solve 4*z - 2*j = j + 1, 3*z - t = -2*j for z.
1
Let h be (2/10)/(3/45). Solve 0 = 3*r + 4*g - 31, -h*r + 4*r = g + 1 for r.
5
Suppose 267 - 111 = 39*r. Solve 3*t - r*w = 4, t - 4*w - 4 = 3*t for t.
0
Let z be (54/(-36))/((-6)/32). Solve -4*v + z = j, -4*j = 7*v - 3*v - 20 for j.
4
Let a = -62 + 77. Solve -s + 4*h = -0*s - a, 3*h + 13 = -s for s.
-1
Suppose 3*c + 4*w - 5 = 0, 3*c + w - 12 = 4*w. Let v be -14 + ((-918)/18)/(-3). Solve 3*u = -2*f, 0 = -v*u - c*f - f for u.
0
Suppose 0 = -3*c + 36. Let s be 69/c - (2 - (-5)/(-4)). Solve -r - 5 = s*b, 2*b + r + 14 = 3*r for b.
-2
Let v(f) be the first derivative of 2*f**2 - f + 1. Let s be v(1). Let n be (-1 + 1 - 4)/(-10*(-23)/(-115)). Solve -m + n*t = -2*t + 4, -s*m + t = 1 for m.
0
Let h be (10/7)/(210/588). Solve 2*f - h*a + 2 = -3*a, a = -f - 4 for f.
-2
Suppose 0 = -4*q + 3*o - 0*o + 9, -4*o + 4 = 0. Solve a = -2*a - 5*p + q, -2*a + 2*p + 2 = 0 for a.
1
Let u(m) be the second derivative of m**4/12 + m**3 + 13*m**2/2 + 4*m. Let f be u(-7). Solve 0 = j - 3*o - 8, -3*j - 4 + f = -5*o for j.
2
Suppose 4*u + i - 119 = -4*i, -u - 3*i = -21. Solve 9*d - 8*d - 17 = -3*y, -4*d - 4*y + u = 0 for d.
5
Let f = -134 - -136. Solve -20 = 4*d, 4*c - 10 - f = 4*d for c.
-2
Suppose 46 = -v + b, 4*v - 3*b + b = -180. Let n be v/(-10) - -4*(-2)/20. Solve -n*l - 12 = 5*r, 4*l = 5*r - 8 - 4 for r.
0
Suppose 3*y = -20 + 32. Let m be 5 + (4 - y)/2. Let z be 8 - (3 - m) - 4. Solve 10 = -5*f + z*o - o, 5*o - 20 = 0 for f.
2
Let o be -4 - ((-12)/(-54) - 166/18). Suppose 12 = 3*s - 3*k - 3, -o*k - 10 = 0. Solve 2*u + s = 4*i + 11, -4*u = i - 7 for i.
-1
Suppose 0 = 4*a - 2*r - 12, 26*a = 25*a - 4*r - 6. Solve a*s - 9 = -u - 3*s, -5*u - 5*s = -25 for u.
4
Let b = -20 - -25. Solve g - 19 = -3*d, 0*d + 21 = -g + b*d for g.
4
Let d(r) = -r**2 + 4*r - 4. Let a be d(2). Suppose v = -4*v, a = c + 3*v - 4. Solve c*n + 15 = -j, 12 = -2*n - 2*n for j.
-3
Suppose -3 = -3*w + 6. Let o be 4/(-2) - (0/(-1))/8. Let r be -3*o/9 + 14/6. Solve -c - 2*c + w*k - 3 = 0, r*c + 2*k = -3 for c.
-1
Suppose -3*k - 3*n = -3, 3*n = -5 + 2. Suppose -54 - 9 = -9*g. Solve -2*t + k = -6*t - s, -3*t - 5*s = -g for t.
-1
Let w be (-8)/28 + (-4)/(-14). Suppose -3*n - 2*f - 13 + 35 = w, -5*f = 4*n - 27. Solve 5*g + 3*k - 5 = 0, 3*g + n = k - 3 for g.
-2
Suppose 5*i + 5 = 5*g, -16*i = -12*i - 5*g + 7. Solve j + 2 = -f, -11 = i*j - 0*f - 5*f for j.
-3
Let p(l) = l + 24. Suppose 0 = -t - 5*f + f, f = 2*t. Let r be p(t). Let g = r - 18. Solve -5*s = -2*v - 17, 4*v - g = -3*s + 5*s for s.
5
Let j = 346 - 341. Let n be (3 - 1) + 0 + 6. Suppose 9*b = 5*b + n. Solve -20 = 5*m, -j*x - 3*m - b*m = 10 for x.
2
Suppose 4*l = -j + 10, -2*l - 4*j = 3*l - 18. Suppose l*q + 34 - 123 = -5*r, -2*q + r = -71. Solve -6*w + 4*s = -w, -q = 3*w + 5*s for w.
-4
Suppose 2*c = -5*z + 32 + 5, 10 = 2*z - 4*c. Solve 5*h + k + 16 = 0, -z*h = -4*h - 3*k + 24 for h.
-4
Let w(p) = 0 + 0 + 9 + p**3 + 4*p**2 + 0*p**2 - 13*p. Let f be w(-6). Solve 0 = -3*y - 5*x + 22, 0*x - 3*x = -f for y.
-1
Let s be (-2)/(-3) - 76/6. Let y(k) = k**3 + 12*k**2 + k + 15. Let q be y(s). Suppose 1 = u - q. Solve -u*w - 2*i = 24, 2*i = -w + 2*w + 1 for w.
-5
Suppose 4*q = -166 + 186. Solve -3*w = 2*x - 4*x - 15, -5*x + q*w - 30 = 0 for x.
-3
Suppose 2*w + 2*a - 4*a = 4, -20 = -w - 5*a. Suppose -5*n - 78 = 4*l, -n + 3*n = l - 26. Let d = n + 18. Solve -s = -d*m + w, m - 3*s + 5*s = -10 for m.
0
Let u(n) = n + 3. Let h be u(3). Suppose h = -y + 8. Solve -y*k + 5 = c + 2*c, 5 = 3*k + 2*c for k.
1
Suppose -308 = -9*t - 272. Solve 7*n - 2*a - 13 = 12*n, t*n = -5*a - 24 for n.
-1
Let k = 6 - -30. Suppose -3*v = -1 - 8, -f - 2*v = -10. Solve -4*q = -4*t + k, -q + 7 + f = 3*t for q.
-4
Suppose x + 54 = 4*x. Suppose -64 = -4*c - 4*a - 0*a, -3*a = -3*c + x. Let s = -9 + c. Solve s*q - 5*m - 14 = 0, -4*q - 3*m = -8*m - 18 for q.
2
Suppose 0*x = 2*x - 4*u - 12, -3*u - 13 = -2*x. Suppose 12*q - 7*q = -575. Let n = 117 + q. Solve -2*a = c + 11, -n*c - x - 2 = a for a.
-4
Suppose 2*t - 10 = 4*o, -2*t + 3*o + 4 = -4. Solve -2*s + t = 5*a - 5*s, 0 = s - 3 for a.
2
Let c(t) = -t**3 - 2*t**2 - 6*t - 5. Let s be c(-1). Suppose a + g - 23 = 0, 0*g + 5*g - 79 = -3*a. Solve -r - a = -s*x + 4*x, 5*r + 14 = -x for r.
-2
Let k be 60/(-7) + (-12)/(-21). Let t = k - -12. Solve -2*w + 17 = 2*d - 5*w, 0 = -t*w - 20 for d.
1
Let o = -586 - -586. Solve q = -8*h + 13*h + 16, 2*h + 8 = o for q.
-4
Suppose -5*d - 83*y = -87*y, -2*y = -d. Solve -2*v + 3*z + 19 = d, -z - 1 = 2*v - 0 for v.
2
Let o(p) = -27*p**3 + p - 2. Let m be o(1). Let c = 31 + m. Solve 4*b + 4*a = -8, -2*b - c*a = 3*b for b.
3
Suppose -3*p + u + 1 = 0, 0 = p + p + 5*u + 5. Let q(k) = k**3 + 7*k**2 + 4*k - 7. Let j be q(-6). Solve l - 5*z + 3*z = 4, p = -5*l - j*z - 25 for l.
-2
Let l be -3*1*(-14)/6. Suppose 15 = 2*j + l. Let p = -169 + 175. Solve -j*s + 29 = -5*x - 2*s, 0 = -3*s + p for x.
-5
Let h = 1942 - 1939. Solve -2*q + 2*w + w = -21, -h*w - 18 = -q for q.
3
Suppose 4*v + 51 = -3*s + 20, 3*v = 2*s - 19. Let r be 2/((35/(-10))/v). Solve 3*q = -2*m - 17, r*q - 2 = 4*m + 2 for q.
-3
Suppose 5*w - 119 = 3*f, -3*w - 5*f + 60 = -w. Solve -c - 2 = -3*r + 4*r, -2*c + 5*r - w = 0 for c.
-5
Suppose 12 = 3*k + 3*z - 6*z, 24 = k + 3*z. Solve -2*y = -y - 3*q + k, 2*y = -3*q for y.
-3
Suppose -2*u - 27 - 5 = 2*w, -4*w = -3*u - 13. Let k = 1 - u. Let v = 4 + -2. Solve 6*m - 2*m - 8 = -3*s, -4*m - k = -v*s for m.
-1
Let r = 9 + -6. Suppose 5*v = 3*q + 35, 0 = 5*v + 3*q - 5. Solve r*d - 5 = -0*n - n, 0 = 3*n + v*d for n.
-4
Suppose -23*p = -3*p - 80. Suppose 69 = 3*i + 21. Solve p*v - 3*q + 2*q = i, -4*v + 16 = -2*q for v.
4
Suppose -5*c - 4 = -0*n - 2*n, -n + 2 = -c. Solve -3*f - 3*z = 21, c = 3*z + z + 16 for f.
-3
Suppose 0 = -5*k + 340 - 315. Solve -k*t + 1 = u - 0, -4*t = 0 for u.
1
Let w be (-15)/(-10)*(-28)/(-6). Suppose w = t + 2. Solve -2*h - t*j = 25, 2*h + 15 = 3*h - 3*j for h.
0
Suppose 0 = -3*z - z - 4*x - 8, 0 = 4*z - 2*x - 4. Suppose 7*y + y - 24 = z. Solve 0 = y*d + d + 2*v - 14, 0 = v - 3 for d.
2
Suppose 15 = a - 3*d, 4*a + d - 19 - 2 = 0. Suppose 12 + a = 6*k. Solve 4*i - 2*t + k = 17, -5*t = -i + 8 for i.
3
Let j(o) = -2*o**2 + 149*o + 230. Let h be j(76). Solve f + 4 = h*v + 1, 0 = 4*f + 2*v - 28 for f.
5
Let t = 432 + -428. Solve -3*j = 9, -t = -2*k + 4*j - 2*j for k.
-1
Suppose 0 = 5*c - 6*c + 4. Let w(x) = 4*x - 14. Let f be w(c). Suppose -3*o = 5*q - 27, -o = -2*q - f*o + 10. Solve -5*h - q*u = 6, 2*u + 2*u = -5*h - 8 for h.
0
Suppose v = 5*h + 23, -3 = 5*v + 4*h - 2. Solve -y = -v*d + 12, -2*d = -4*y - 7*d + 37 for y.
3
Let f be -2 + (5 - (-3 - -6)). Solve 3*j + 5*b = f, 2 + 2 = 2*j + 2*b for j.
5
Let z be (-4 - (-80)/24)*(-6)/4. Let g(h) = 1 + 3 + 4*h**3 + 1 - 3*h**3 - 4*h**2. Let x be g(4). Solve q = 4*c + 12, x*c + 14 = -q - z for c.
-3
Let w be ((32/14)/(-4))/((-110)/385). Solve 11*j - w = 12*j + 3*f, 3*f = -4*j - 8 for j.
-2
Let j(y) = -y**2 + 40*y + 227. Let b be j(-5). Solve -v - b = -2*z, 6*v - v = z - 19 for z.
-1
Let c be (33 - 34) + (-1 - -4). Solve -18 = c*g + 4*f, -g + 2 - 7 = f for g.
-1
Suppose t - 4*a - 10 = 0, 2*a + 2*a = -4*t. Let u be -3 + 6 + 16 + -2. Suppose -8 = 3*i + 4*x, 0*i - 2*i - u = 5*x. Solve t = d - s, -s = i*s for d.
2
Let b be -4 + ((-51)/(-6) - (-4)/(-8)). Let s be 4/6 - 21/(-9). Suppose -s = -u, 2*u - 5*u + 9 = -w. Solve w = 4*g + 5*l - 8, 3*l - 4*l = 2*g - b for g.
2
Suppose -31*j + 96 = -7*j. Solve 0 = -4*s + j*k + 4 + 4, 17 = -4*s - k for s.
-3
Let z(h) = 4*h**3 - 3*h**2 + 2*h - 3. Let k be z(2). Let i = 21 - 31. Let a(c) = -2*c - 18. Let j be a(i). Solve p = j*o + 6, -p - 3*p = o + k for o.
-5
Let s be (-1)/3*(47 - 68). Let m = -5 + 2. Let p = s + m. Solve 2*n + k = -n + 10, 2*n = p*k - 12 for n.
2
Suppose 0 = 4*j - 11*j + 175. Solve -i - j = 4*x, -i + 15 = -2*x - 2*i for x.
-5
Let i(v) = 2*v**2 + 29*v + 20. Let x be i(-14). Solve -j = -5*k, -x*j + 11*j - 28 = -3*k for j.
5
Suppose -4*n + 1 - 5 = 2*p, -3*p = n - 9. Let u = 62 - 153. Let t = u + 96. Solve p*f - 2*a - 10 = 0, -t*a + 6 + 1 = -2*f for f.
4
Suppose 8*p - 25 = 3*p. Suppose p*z = 2*z, -3*z + 3 = -3*j. Let i(v) = v**2 - v - 1. Let l be i(j). Solve 0 = -5*w - 10, -1 = -m + w + l for m.
0
Let c(n) = n**3
|
{
"pile_set_name": "DM Mathematics"
}
|
17*n + 30*n - 12*n**4 + (-2*n**2 + 3*n**2 - 3*n**2)*(-4*n**2 + 6*n**2 + 0*n**2).
-16*n**4 + n
Expand (-52 - 51 - 8)*(-2*b + 2*b**3 + 2*b) + (5*b - b - 2*b)*(4 - 2*b**2 - 4).
-226*b**3
Expand -2*j**5 + 3*j**5 + j**5 + ((-3 - 1 + 5)*(-j - 3*j + 6*j) + 164*j + 133*j - 331*j)*(4 - 4 - 2*j**4).
66*j**5
Expand (5*f**4 - 5*f**4 + 2*f**4)*(3 + 1 - 1)*(-3 + 2 - 1)*((4 - 6 - 7)*(0 + 2*f + 0) + 2*f - 6*f + 0*f).
264*f**5
Expand (-3 + 4 + 1)*(87 + 116 - 366)*(3 + 2*f - 3).
-652*f
Expand j**3 - 4*j**3 + 0*j**3 + (-3*j**2 + 0*j**2 + 2*j**2)*(4 - 4 - j) + 201*j**3 + 22 - 106 - 197*j**3.
2*j**3 - 84
Expand (2*u**3 + u**2 - u**2)*(-23 + 56 - 119 - 2*u**2) + (1 + 1 + 0)*(-2 + u**4 + 2)*(5*u - u - 3*u).
-2*u**5 - 172*u**3
Expand 55572 - 55572 - 312*o**3 + (0*o**2 - 4*o**2 + 2*o**2)*(-4*o + 6*o - 4*o).
-308*o**3
Expand (3*z + 2*z - 3*z)*(0 + 2*z**2 + 0)*(114*z - 84*z - 99*z).
-276*z**4
Expand (-20*f**2 - 23 + 23)*(9 + 2 - 1)*(-3 + 5 - 1)*(1 - 1 + 3*f).
-600*f**3
Expand (-5*y + 2*y + 2*y)*((-1 + 1 + 4)*(4 + 3 - 3) + (4 - 2 - 1)*(3 + 0 - 2) - 6 + 1 + 3)*(5*y - 3*y + 0*y).
-30*y**2
Expand ((-69 - 53 + 85)*(-1 + 0 - 1) - 5 - 1 + 5)*(-m**5 + 0 + 0) + (-m**4 + m - m)*(-2*m + 2 - 2).
-71*m**5
Expand (0*m**2 - 2*m**2 - 4*m**2)*(0 - 2 - 1)*(-2*m + 3*m + 0*m) + m**3 + 7*m**2 - 7*m**2.
19*m**3
Expand (-3 + 1 + 0 + (4 - 5 + 0)*(5 + 1 + 2))*(-3*q**3 - 3*q + 3*q).
30*q**3
Expand 10*y**5 - 4 + 4 + (y**2 + 5*y**2 - 4*y**2)*(-y**3 - 4*y**3 + 4*y**3) - 5*y**5 + 3*y**5 + y**5.
7*y**5
Expand (2 - 1 + 1)*(0 + 3 + 7)*(-1 - 2*q + 82*q**2 - 37*q**2 - 44*q**2 - 2*q**3).
-40*q**3 + 20*q**2 - 40*q - 20
Expand (-3*i + 8*i + 0*i)*(-12 + 23 - 12 + 14*i).
70*i**2 - 5*i
Expand (0*m**2 + 2*m**3 + 0*m**2)*(2*m - 5 + 5) - 5*m**2 + 5*m**2 + 2*m**4 + 311*m**4 - 6*m**2 - 10*m**2 + 16*m**2.
317*m**4
Expand m**4 + m**4 - 10*m**4 + (2*m**3 - 3*m**2 + 3*m**2)*(-4*m - 8*m - 9*m).
-50*m**4
Expand (0*v**2 + 0*v**2 + 2*v**4)*(7*v - 9*v - 7*v) + 2 + 4*v**5 - 2.
-14*v**5
Expand (4 - 8 - 14)*(-2 - 2*v**2 + 2)*(-2*v**3 - 37*v**2 + 9*v**2 - 19*v**2).
-72*v**5 - 1692*v**4
Expand ((4*m - 6*m + 0*m)*(-3*m + 3*m - m) + 58*m**2 + 63*m**2 - 12*m**2)*(-4*m**2 - m**2 - m**2).
-666*m**4
Expand (w - 3*w + 3*w)*(-163*w**2 + 315*w**2 + 50*w**2)*(-4*w - 2*w + 4*w).
-404*w**4
Expand (4*u**2 - 3*u**2 - 2*u**2)*(1 - 1 - 1)*(130*u**2 - 114*u**2 + 56*u**2).
72*u**4
Expand -3*l + 3 - 3 + (-3*l - 4*l + 5*l)*(1 - 1 + 2) + 1 + 2*l - 1 + (-1 - 5 + 4)*(-l + l - 2*l) - l + 3*l + 0*l - 1 + 1 - 2*l.
-l
Expand 2*l**2 - 41*l**2 + 6*l**2 + (4 + 0 - 5)*(l**2 - 5*l**2 + 2*l**2) + 3 - 3 + 3*l**2.
-28*l**2
Expand (18 + 15 + 23)*(-4 + 0 + 1)*(3 + 3*g - 3).
-504*g
Expand (-6*g**3 + 11*g**4 + 6*g**3)*(6*g - 4 + 6*g - 7*g).
55*g**5 - 44*g**4
Expand (-4*k + k + 0*k)*(-3 + 3 - 3*k) - 5*k**2 + 2*k**2 + k**2 - 3*k**2 + 7*k**2 + 3*k**2 + (-2*k + 3 - 3)*(-k + 4*k - 2*k) + 2*k**2 - 2*k**2 + k**2.
13*k**2
Expand (-23*n**3 + 9*n**3 + n**4 - 7*n**3)*(-6*n + n + 4*n).
-n**5 + 21*n**4
Expand (-195 + 195 - 9*x)*(1 - 4 - 7).
90*x
Expand (-1 - b + 1)*(3 - 4*b**2 + 3*b**2 - b**2) + (-5 - b + 5)*(-6*b**2 + 2*b**2 + 0*b**2).
6*b**3 - 3*b
Expand (2*s + 17*s + 3*s)*(0 + 0 + 1)*(0*s**2 - 2*s**2 + 4*s**2).
44*s**3
Expand (522 - 522 + 79*q)*(0 + 0 - q).
-79*q**2
Expand (-4*i**2 + 3*i**2 + 3*i**2)*(0 - 3 + 5)*(12*i - 31*i + 13*i).
-24*i**3
Expand (28 - 102 + 82 + 183 + 156)*(-4*x**3 - 3*x**3 + 3*x**3).
-1388*x**3
Expand 31*p**3 - 94*p**3 + 16*p**3 - 7 + (-2 + 0 + 3)*(0*p**2 + 0*p**2 + 2*p**3).
-45*p**3 - 7
Expand (-38*f - 38*f**2 - 37*f**2 + 73*f**2)*(-8*f + 9*f - 2*f).
2*f**3 + 38*f**2
Expand (4*a**2 + 0*a**2 - 2*a**2)*(2*a + a - a) + 0*a**3 - 3*a**3 + 2*a**3 + (-8*a**2 - 2*a**2 - 3*a**2)*(-1 + a + 1) + 24*a**2 - 24*a**2 + 2*a**3.
-8*a**3
Expand -2 + 2 + 4*u**3 - u + u + 2*u**3 + (-u**2 + 5*u**2 - 2*u**2)*(3*u + 5*u - 4*u) + 4*u**3 + u**3 - 4*u**3.
15*u**3
Expand (-2069*s**2 + 3991*s**2 - 2422*s**2)*(-s**2 - 5*s**2 + 5*s**2).
500*s**4
Expand (-90 - 33*a + 17*a + 18*a)*(-a + 0*a + 0*a).
-2*a**2 + 90*a
Expand 15115*u**2 - 899*u**3 - 15115*u**2 + 5*u**3 - 4*u**3 - 3*u**3 + (0*u**2 + u**2 - 2*u**2)*(3*u + 2*u - 4*u) - u**3 + 2*u**3 - 3*u**3.
-904*u**3
Expand (0*j**4 + 0*j**4 + 2*j**4 + (-2*j**3 - 4 + 4)*(-j + j - 2*j))*(-15 - 15 - 7).
-222*j**4
Expand ((-7 - 2 + 2)*(0 - 1 + 3) - 8 - 2 + 2)*(p - 5*p + 5*p) + 2*p + 2*p - 2*p.
-20*p
Expand (2*b**2 - 2 + 2)*(-4 - 5 + 8)*(3*b - 2*b + 12 - 13).
-2*b**3 + 2*b**2
Expand -15*k**3 - 22*k**3 - 63*k**3 + (0*k**2 - k**2 + 2*k**2)*(-5*k + 3*k + 3*k) + 2*k**3 - 3*k**3 + 2*k**3.
-98*k**3
Expand (-3*q + q + 0*q)*(329 - 57 - 102)*(-q + 2*q + q).
-680*q**2
Expand (-5*p + 0*p + 3*p - 10)*(23*p**2 + 19*p**2 + 53*p**2).
-190*p**3 - 950*p**2
Expand (-2*k**2 - k**2 - 2*k**2)*(-11*k - 4*k**2 + 3*k + 2*k).
20*k**4 + 30*k**3
Expand (-2*n + 5*n + 0*n)*(3*n - n**2 - 3*n)*(-3*n - 4*n + 4*n) - 3 + 6*n**4 + 9*n**4 - 13*n**4.
11*n**4 - 3
Expand (8*y**2 + 10*y**2 - 5*y**2)*(-3*y**3 + y**3 + 0*y**3) - 7*y**5 + y**5 + 7*y**5.
-25*y**5
Expand 0*g**5 + g**5 + g**5 - g**4 + 2*g**5 + g**4 + (2*g**4 + 2 - 2)*(-2*g - g + 4*g) + 3*g**3 - 3*g**3 - 12*g**5 + (1 - 2*g**2 - 1)*(g**3 + 0*g**3 - 3*g**3).
-2*g**5
Expand -3*b**4 - 3*b**4 + 5*b**4 + (10*b - 3 + 3)*(-2 + 2 + 3*b**3).
29*b**4
Expand (5 - 5 + 1)*(13*v**3 + 93*v**4 - 201*v**4 + 107*v**4).
-v**4 + 13*v**3
Expand (4 - 1 - 4)*(-3*x + 5*x + 2*x) - 4 - 3*x - 3*x + 5*x.
-5*x - 4
Expand 3*x**2 - 2*x**2 + 4*x**2 + (-5 + 5 + x)*(x + 2*x - 4*x) - 2*x**2 + 4*x**2 - 3*x**2 + (3 - 3 + 2*x)*(-x - 3*x + 2*x) - 8*x**2 + 9*x**2 + 19*x**2.
19*x**2
Expand (0*q**4 + 0*q**4 + 3*q**4 + (-2*q**3 + 0*q**3 - 2*q**3)*(3*q + 0*q - 5*q))*(-q - q + 9*q).
77*q**5
Expand (-2 + 2 - 3)*(-h + 338 - 338) + (-2 + 1 + 0)*(-4*h + h + h) + (h - 2*h + 0*h)*(-3 + 2 + 0).
6*h
Expand (-57 + 57 - 29*k)*(0*k - 2*k + 0*k + (2 + 4 - 3)*(3*k - 7*k + 3*k)).
145*k**2
Expand (2*f - 2*f + f)*(1 - 2 + 0) + (-13 + 2 + 7)*(2*f - f + f).
-9*f
Expand (-2*y + 0 + 0)*(-3*y + 6*y + 18*y**2 - 2*y) - y**3 + 0*y**2 + 0*y**2 - y + y + 2*y**3 + (2*y**3 - 4*y**3 + y**3)*(5 - 1 - 5) - y - y**3 + y.
-35*y**3 - 2*y**2
Expand (2*f + 2*f - f + (6 + 1 + 0)*(5*f - 2*f + 3*f))*(-2 + 2 + 2).
90*f
Expand (28 + 10 - 22 + 25)*(5*g + 0*g + 3*g).
328*g
Expand (11*b**2 + 4*b**2 - 2*b**2)*(0 - 2 + 4)*(0 - 1 + 3).
52*b**2
Expand (-6*o**4 - 512*o**2 + 493*o**2 - o**4)*(-o - o + 0*o) + 5*o**5 - o**5 - 3*o**5.
15*o**5 + 38*o**3
Expand (-73 + 78 + x + 0*x)*((2*x**2 - 2*x + 2*x)*(-2*x**2 - x**2 + 2*x**2) - 88*x**4 + 223*x - 223*x).
-90*x**5 - 450*x**4
Expand (-n + 2*n + 0*n)*(-2 + 0*n + 6*n + 8*n).
14*n**2 - 2*n
Expand (5*f - 2*f - f)*(-f**3 + f**3 + f**3) + f**4 + 1439*f**2 - 5*f**3 + 3 - 1440*f**2 - 1.
3*f**4 - 5*f**3 - f**2 + 2
Expand (3*c + 2*c - 2*c)*(-11 - 13 + 24 - 88*c - 761*c).
-2547*c**2
Expand ((1 - 1 - 2*z)*(7 - 2 - 3) + 5*z + 3*z - 5*z + z - 3*z + z)*(10 - 8 + 24)*(-3 + 0 + 1).
104*z
Expand (-2*u + 0 + 0)*(-4 + 1 + 0)*((3*u - 5*u + 5*u)*(-1 - 1 + 1) - u + u + u).
-12*u**2
Expand (h**2 + 0*h**2 + 0*h**2 + (0*h - 4*h + 2*h)*(-4 + 4 + 2*h) + 4*h**2 - 3*h**2 + 0*h**2)*(3982 - 3982 + 110*h).
-220*h**3
Expand 1 + 2 - 1 - 2*g**2 + (6*g - 2*g - 3*g)*(-g + 5*g - 5*g) - g**2 - 3*g**2 + 2*g**2 - 3 + 3 + 3*g**2.
-2*g**2 + 2
Expand (9*r**2 - 4*r**2 + 18*r**2)*(2*r**3 - 2*r**3 - 3*r**3 + (-2*r**2 + 0*r**2 + 3*r**2)*(1 - 1 + 2*r) - r**3 - 2*r**3 + 4*r**3 + 4*r**3 - 5*r**3 + 0*r**3).
-23*r**5
Expand 1795*p**2 + 294*p**3 - 1795*p**2 + (4 - 2 - 1)*(2*p**3 - 2*p**3 - p**3).
293*p**3
Expand ((k - 2*k - k)*(-2*k - 1 + 1) - 265*k + 265*k - 19*k**2)*(6*k + 0*k - 2*k).
-60*k**3
Expand (0 + 2*k + 0)*(-4*k + 2*k + 6*k)*(7 + 6 - 1).
96*k**2
Expand (-2*h + h + 2*h)*((6*h - 7*h**2 - 6*h)*(-4 - 4 + 0) + 1 + h**2 - 1) - h**3 + 2*h**3 + 4*h**3 + 0 - h**3 + 0.
61*h**3
Expand (-3*m + m + 3*m)*(5*m + 1 - 1)*(-7*m - 3*m + 19*m).
45*m**3
Expand (3*o - 3*o + o)*(4 - 3 + 1) + 286*o + 221*o - 603*o.
-94*o
Expand (-24 - 20 - p + 27)*(48*p**2 - 39*p + 39*p).
-48*p**3 - 816*p**2
Expand (-2*h + 3*h - 3*h - 4*h**3)*(-3*h**2 - 2*h**2 + h**2).
16*h**5 + 8*h**3
Expand (3*r**5 - 4*r**5 - 3*r**5)*(0 + 0 - 1) + (13*r**4 + 13*r**4 - r**4)*(6*r - 3*r - 2*r).
29*r**5
Expand (798*t + 692*t + 646*t)*(2*t + 1 - 1).
4272*t**2
Expand (-31*h - 48*h**2 + 31*h)*(-4*h - 7 + 7) + (-2*h**3 + 4 - 4)*(1 + 0 - 2).
194*h**3
Expand (-3*t - t + 2*t)*(-3
|
{
"pile_set_name": "DM Mathematics"
}
|
= 0, x = -o*i + 4*a - 4 for i.
0
Let i = -7 + 9. Let p be 2 - (i - (-22)/(-2)). Solve -v + 3*s = v - p, -3*s = v - 1 for v.
4
Let y be (6/3 + -2)/3. Let t be (-4)/3*(y + -3). Solve -5*d = -3*h + t - 3, 0 = -3*d + 2*h for d.
-2
Let k be ((1 - 3) + 1)*-5. Suppose -k*w + 7 = -4*w. Solve 0 = 2*j - 3*o + w, -3*j + 5*o + 10 = -4*j for j.
-5
Let b = 7 + -9. Let i = b + -9. Let n(f) = -f**2 - 12*f - 11. Let y be n(i). Solve 2*m - 1 = -3*v - 9, 4*m - 4*v + 16 = y for m.
-4
Suppose -b = -0 - 5. Let o = 7 - 9. Let c be (o/5)/(1/(-10)). Solve p = -c*d + 9, -5*d + b = -5*p - 0*d for p.
1
Suppose -4 + 0 = -4*v. Let z be (-22)/(-11) - (1 + v). Let d = -3 - -5. Solve w + 2*f = -z + 5, 0 = d*f for w.
5
Suppose -4*q - k - 3 = -27, -3*q + 18 = k. Solve 3*a + q = 2*a + z, -2*z = -2 for a.
-5
Let w(f) = -f - 1. Let c be (0 + 1)/((-2)/12). Let d be w(c). Solve d*r = -2*g + 3*r, 2*g - 4*r = 6 for g.
1
Suppose 10 = -4*f + 2*f. Let n = 10 + f. Suppose -n = -2*y + y. Solve 4*x + 13 + 1 = y*g, -x - 3 = -g for g.
2
Let p be ((-6)/(6 - 0))/(2/(-6)). Solve -5*b - 11 = -3*k, p*k - 5*k = b - 3 for k.
2
Suppose -5*i + 2 = 12. Let o = 3 - i. Solve 14 = 3*t - 4*m, -10 - o = -5*t + 5*m for t.
-2
Let i(t) = -t**2 + 7*t - 6. Let r be i(4). Let z be (18/(-6))/(r/(-4)). Solve -3*j - 4 = 2*c, -z*c = -c - 4 for j.
-4
Let k be (-20)/(-5) - 52/(-2). Let y = k - 27. Solve 5*r - 5*l = 5, 0 = -y*r + 5*l - 3*l + 7 for r.
5
Suppose -3*j = j - 8. Solve 7*n = j*n + 3*k + 30, 7 = 4*n + k for n.
3
Let l be 56/(-6)*(2 + (-10)/2). Solve -5*c = -3*q - l, 3*q - c + 3 = -5 for q.
-1
Suppose 4*t = 13 + 3. Let d = 15 + -3. Solve 4 = 2*m - t*b - d, 3*m - b - 4 = 0 for m.
0
Let h be -2 - (2/(-8) + (-38)/8). Solve d + h*b - 5 = 0, 2*d = -4*b + 6 - 2 for d.
-4
Let z(l) = -l**3 - 4*l**2 - 6*l - 7. Let s be z(-3). Solve k = -4*q - s, 2*q - 6*q = -3*k - 6 for k.
-2
Suppose -i = -3*m + 20, 5*i = -2*m - m - 10. Solve 0 = -h - 4*x + 23, x - 3*x = -5*h + m for h.
3
Let d = -65 + 39. Let x be d/3*(-1 - 2). Let p = -13 + x. Solve -4*v = 5*u + p, -3*v = 2*v + 10 for u.
-1
Let z be 0/(-4 + 2) - -15. Solve x + 9 = 4*n, -z = -4*x - 4*n + 9 for x.
3
Let r(h) = -3*h**2 - h. Let s be r(2). Let i = 14 + s. Let p = 41 - 21. Solve -5 = j - i*j, -3*d + j + p = 0 for d.
5
Suppose 2*w - 4*z = 22, -2*w = 2*w + 5*z - 5. Solve -2*s = -8, 2*s + 8 = w*i - 9 for i.
5
Let r(j) = 2*j + 6. Let u be r(-6). Let a be 1*-1 + u + 7. Solve -4*s - x + 4*x + 18 = a, -5*x = -3*s + 19 for s.
3
Let h(u) = u**2 - 3*u - 6. Let o be h(5). Solve -5*l - o*f = 15, -l + f - 6 = l for l.
-3
Suppose 3*f = -5*v + 2, -2*v + 4*v + 4 = 0. Suppose -f*n + 32 = 4*i, 2*i - n + 2 = 3*n. Suppose i = z + 1. Solve 0 = -6*m + m - 4*l - 12, -3*l = z*m + 9 for m.
0
Suppose 5*x - 2*x - 3 = 0. Suppose -3*g - 7 = -x. Let k be (2/g)/(3/(-12)). Solve -4*t + k*v = -20, 4*t + v = -6 + 16 for t.
3
Let z be 115 - (0 - -4)/(-2). Let i be 25/9 - (-26)/z. Solve 2*x - i*j - 11 - 5 = 0, 0 = 3*x - 4*j - 22 for x.
2
Let x(m) = -m**2 - 20*m - 16. Let z be x(-19). Solve 10 = -5*g, -7 = -0*a - a + z*g for a.
1
Suppose 7*y - 9*y = -5*y. Let p be (-57)/(-12) + (-6)/8. Solve -5*a - 5*q = -20, -10 = -p*a + 2*q - y*q for a.
3
Suppose 3*z = -5*m - z, 3*m + 5*z = 0. Suppose -2*b = -m*b. Solve 4*r + f - 17 = 0, 2*r - 3 + b = 5*f for r.
4
Suppose 6 = g - 17. Solve 3*z = 4*y + g, 2*z + 5*y + 9 = -14 for z.
1
Let q be (0/(-3))/(-7 - -3). Solve -3*s + s = -4*w, q = -5*w + 3*s for w.
0
Suppose -4*x + 3 = -7*x. Let g = 1 - x. Solve 2*r + 4*b = 3*b + 1, -g*b = -2 for r.
0
Let o(g) = 2*g + 10. Let d be o(-8). Let z be d*((-4)/(-6))/(-1). Let j be (4 - 0) + (z - 3). Solve -1 = j*m - 3*r - 17, -4*r - 4 = 2*m for m.
2
Let r = -14 - -16. Solve -3*w - z - 5 = -2*w, 0 = r*w - 3*z for w.
-3
Let j be 6/5*(6 - (-5 + 1)). Solve 0*v + 8 = 2*f + 4*v, 3*v - j = 0 for f.
-4
Let b(p) = 2*p**2 - 3*p - 3. Let u be b(-2). Let t be (-2)/4*42/3. Let o = t + u. Solve -z + o*s - 24 = 0, 2*z = -z + s - 17 for z.
-4
Suppose -4*y + 3*h - 8*h = -83, -4*y + 5*h + 53 = 0. Solve 2*z + 11 = 4*d - 11, -2*d + y = -3*z for d.
4
Suppose -n + p = -5, -4*n - 6*p + 2 = -4*p. Solve 0 = d - 3*k - 5, n*k - 2 = 2*d for d.
-4
Let a(h) = 1. Let d(j) = -7*j. Let p(z) = -5*a(z) + d(z). Let w be p(-5). Let x = 9 - 4. Solve 0 = x*u - 2*y - w, -1 + 32 = 4*u - 3*y for u.
4
Let o = 7 + -4. Let v be o/1 - (1 + -2). Suppose 0 = l - 7 - 8. Solve -3*x = -5*q + l, 4*x + q - v*q = -9 for x.
0
Let a be 0/2 - (1 - 4). Suppose -3*q = q - 32. Suppose 0 = 2*p - 5*u - 18, 0*p - a*u = -p + q. Solve 5*o + 4 = 5*l + p, 4 = -l for o.
-2
Suppose 5 = 6*k - 7. Solve 0 = -k*v - 3*o - 3, 4*v + 3*o - 5 + 2 = 0 for v.
3
Suppose -3*s + 2*g + 7 - 3 = 0, 2*s = -g - 9. Let p = 6 + s. Solve -6*b + 2*b + 4*q = -4, -4*b + 3*q + p = 0 for b.
1
Let m be 5/((-20)/(-8)) - -2. Solve 0 = -2*q + a + m*a - 25, a - 23 = 4*q for q.
-5
Let h be 2*(3/6 + -1). Let i = -1 - h. Solve 4*r = 3*a, i = 2*r + r - a + 5 for r.
-3
Suppose 0 = -g + 7 - 4. Suppose -u = g*u. Solve 23 = -4*a - b, 3*a - 2*b + 4 + 5 = u for a.
-5
Suppose 3*g + 3*x - 3 = -0*x, g - 4*x - 11 = 0. Solve -2*j - j + 4*k = -14, 4 = g*j + k for j.
2
Suppose 5*w = -5*w + 20. Solve 14 = -3*z + 5*y, -w = z - 0*z - y for z.
2
Let l = 11 - 7. Solve -l*p + 12 = 0, 5 - 22 = -u - 5*p for u.
2
Suppose 0 = 3*v - 9 - 45. Let z be 4/18 - (-122)/v. Solve b + 4 = 0, 5*b + 4 = 3*p - z for p.
-3
Let c(p) = 4*p**2 - 1. Let j be c(-1). Suppose 2*h - j*h = -2. Solve v = -m + 2 + 2, -4*v = -h*m + 2 for m.
3
Let c be 1/(-5) - 12/(-10). Let n be -4*c/2*-1. Solve 4*j - 16 = -2*o, -o + 12 = 5*j - n*j for j.
4
Let y be (1 + (3 - 2))/1. Suppose -3*x = 5*d + 20, x + 0*x = y*d + 8. Solve x = -3*b - 4*t + 27, -b = b + 5*t - 25 for b.
5
Let f(z) = z + 4. Let n be f(4). Solve 0 = -5*m + 4*a - 0 - 16, n = 5*m + 2*a for m.
0
Let t(l) be the second derivative of -l**3/3 - 9*l**2/2 - 3*l. Let u be t(-7). Solve 2*y + 3*a + 3 = -3, -3*y = u*a + 9 for y.
-3
Let v(b) = 5*b - 18. Let y be v(4). Let n(i) = i**2 - 3*i + 2. Let p be n(3). Solve 5*t - 4*f - f - 35 = 0, -p*f = t + y for t.
4
Let r = 110 + -104. Solve 3*s = 4*l - r*l + 23, s + 3*l = 17 for s.
5
Suppose 5*m - 11 = -1. Solve -2 = -m*j + 3*v + 1, -2*j + 5*v + 5 = 0 for j.
0
Let i = 27 - 14. Let w = 24 - i. Solve -2*g + w = 3*q, 5*g + 9 = 3*q - 16 for q.
5
Let u = -42 - -47. Solve 0 = -u*b - 5*r - 20, -3*b = -4*b + 3*r for b.
-3
Suppose 0 = 4*a - 0*a - 5*n - 21, -19 = -5*a - n. Solve 3*y - 9 = 5*l, -2*l - 14 = -a*y - 2 for l.
0
Let w(q) = -q + 6. Let g be w(-9). Let l = 13 + -8. Suppose -5*d - u = -l*u + 10, 5*d + u = g. Solve -d*a - 15 = -3*n, -9 = 2*n + 7*a - 2*a for n.
3
Suppose 3 - 3 = 3*c. Solve 0 = -4*q - r + 2 - 8, -3*q - r - 4 = c for q.
-2
Suppose -5*l + 4*a = a - 61, 5*l + 3*a - 79 = 0. Let f = -8 - -3. Let t = f - -8. Solve -3*s - l = 4*p - 8*s, -t*s + 7 = -p for p.
-1
Let z = -19 + 33. Solve 5*x - 5 = 0, 4*s + x + z = 3*x for s.
-3
Let w be 0 - ((-8)/(-20) - 4/10). Solve 4*l - 5*x + 41 = w, -8 = -4*l + 3*x - 39 for l.
-4
Suppose -3 = 5*i + 2. Let h = i + 6. Solve 3*c = -h*a + 10, -4*c + 0*a = a + 15 for c.
-5
Let v = 81 - 48. Let s(p) = -p**3 - 2*p**2 + p + 2. Let a be s(-2). Suppose 0 = -a*w + 3*w - v. Solve -4*n + 2*h = 3*h + w, -n + 2*h = 5 for n.
-3
Let a be (-4)/4 + 9 + (-4 - -1). Solve -a = -5*v - 5*o, o = 2*v + 5*o - 8 for v.
-2
Suppose -5*u = -6*u. Suppose v - 3*v + 6 = u. Suppose -9 = 2*f + 5*k - 2, -17 = -2*f + v*k. Solve -f*n = -2*b + 3*b + 2, 2*n + 4*b = -8 for n.
0
Let b = 10 + -7. Let u = -3 + b. Suppose -o + 2*o = u. Solve -13 = 2*a - 5*f, -5*a = f - o*f - 8 for a.
1
Let i(z) = -z**3 + 4*z**2 - 4*z + 2. Let m = -12 - -14. Let b be i(m). Solve -4*p - 25 = 5*w, 6*w = -5*p + b*w - 29 for p.
-5
Suppose 7*n - 30 = 4*n. Suppose -z + n = z. Suppose 5*d = 19 - 4. Solve 0 = 5*r + z, 2*b = -d*b - 5*r for b.
1
Let m = 1 + 0. Suppose -w + 5 = 3*a - 8*a, 23 = -3*w - 4*a. Let u be m/(-6) - w/30. Solve -7 = c - u*v - 2*v, 5*v = 4*c + 25 for c.
-5
Suppose -20*z + 5*z = 0. Solve z = -y - 3*x + 5, x = 2*y - 10 - 0 for y.
5
Suppose 16*z - 18*z + 2 = 0. Solve 2*d = 4, 5*d + 3 - z = 3*t for t.
4
Suppose 0 = -t - 2 + 5. Suppose -3*h = -y - 5, h + t*y + y - 19 = 0. Suppose -h*q + 2 = -2*q. Solve -6*n - q = -r - 3*n, 0 = 2*r + n - 4 for r.
2
Suppose 0 = 4*r + 2*v, 2*r - 3*r - 4*v - 14 = 0. Suppose -f + 9 = r*
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 + 3*q**2 as b*q + c*q**3 + x*q**2 + o and give b.
0
Rearrange -7*w**4 + 2*w + 0*w**3 + 3*w**4 - 3*w**3 + 2*w**4 to z + t*w**2 + g*w**4 + f*w + h*w**3 and give h.
-3
Rearrange (4*c - 3*c - 2*c)*(68*c - 50*c - 47*c) to i*c + f*c**2 + h and give f.
29
Rearrange (-1 - 2 + 11)*(-3*l**2 - l**2 + 5*l**2) to q*l**2 + f*l + u and give q.
8
Rearrange -3*x**3 - x**2 + x**2 + x - x**2 - x**2 to the form o*x**3 + p + c*x + i*x**2 and give o.
-3
Express -2*r**3 + 2*r - 2*r**2 + 9*r**4 - 11*r**4 - 5*r**2 in the form c*r**2 + v*r + f*r**3 + i + w*r**4 and give c.
-7
Rearrange (-i + 3*i - i)*(-3*i - 3*i + 4*i) + (-36 + 36 + 32*i)*(0*i + 3*i + i) to the form m*i + j + d*i**2 and give d.
126
Rearrange (8*b - 11 + 11)*(b + 2*b - 5*b) to z + m*b**2 + u*b and give m.
-16
Express (0 + 4 + 1)*(3*s**2 - 7*s**2 - 42*s**3 + 43*s**3) as n + r*s**3 + x*s**2 + j*s and give x.
-20
Express (q**4 + q**4 - 5*q**4)*(0 - 1 + 8) in the form t + s*q + g*q**4 + m*q**3 + n*q**2 and give m.
0
Rearrange (0*l**2 - 3*l**2 + 2*l**2)*(3 - 2*l - 3) + (-5*l + 3*l + 7*l)*(3 - 3 + l**2) - l**3 - l**3 - l**3 to r + f*l**2 + u*l + j*l**3 and give u.
0
Express -9*w**3 + 336*w - 676*w + 346*w as j + y*w + m*w**3 + o*w**2 and give y.
6
Rearrange 5*i**2 + 0*i**2 - 13*i**2 + 2*i**4 + i**3 + 10*i**2 - 9 to w + d*i**4 + s*i**2 + g*i + t*i**3 and give s.
2
Express s - s + 2*s**4 - 5*s**4 + s - s + (3 - 2*s**3 - 3)*(4*s + 3*s - 6*s) in the form z*s + m*s**2 + g + x*s**4 + f*s**3 and give x.
-5
Rearrange (-4*d**2 + 4*d**2 - d**2)*((0*d - 2*d + 3*d)*(-4 - 2 + 4) - 5*d + 0*d + 2*d)*(-4 - d + 4) to w*d**4 + l*d**3 + n + j*d + o*d**2 and give l.
0
Rearrange x + x**2 + 0*x - 1 - 3*x**2 + 0*x**2 + x**4 to r*x**2 + u*x + n*x**3 + f + o*x**4 and give o.
1
Rearrange (-2 - s**2 + 2)*(-7 + 8 - 4*s + s) to n*s**2 + c*s + y*s**3 + l and give y.
3
Rearrange (-7*y**3 + 0*y**3 + 0*y**3)*(-1 + 1 + 2) + 6*y**3 - 6*y**3 + 5*y**3 to the form l*y**3 + w*y + b*y**2 + a and give l.
-9
Express (2*c**2 - 3*c**2 + 4*c**2)*(-c + 15 - 15) + (2*c + 2*c - 2*c)*(0 - 2 + 0)*(2*c**2 + c**2 - 5*c**2) as q*c + n + w*c**2 + o*c**3 and give o.
5
Rearrange -2*c**3 + 10*c**3 + c - c**2 - 15*c**3 to i*c**3 + v*c**2 + n*c + y and give i.
-7
Express -1 + 3 + 4*h - 2*h**4 - 2*h**3 - 5*h + h**4 in the form x*h**4 + o*h + c*h**2 + a + r*h**3 and give o.
-1
Express -2*m + 4*m - m + (-4*m + m + m)*(1 - 2 + 2) + 1 - 1 - 3*m in the form s*m + t and give s.
-4
Express (0*c + 2*c + 0*c)*(-150 + 150 - 30*c) as v + w*c + y*c**2 and give y.
-60
Express (-2 - 2*j - j + j)*(16 - 1 + 2)*(4*j**2 + 10*j**2 + j**2) as v*j**3 + q*j + a*j**2 + d and give a.
-510
Rearrange 10*r**4 + 2*r**2 - 217*r + 2 + 217*r to c*r**3 + q*r**4 + m*r**2 + n*r + k and give m.
2
Rearrange -3*j + 3*j - 8*j - 2*j to g*j + u and give g.
-10
Express 5*t**3 - 4 + 2 - 5*t + 4*t - 7*t**3 as j*t**3 + l + c*t**2 + n*t and give l.
-2
Express -44*c + 15*c - c**3 + 44 + 14*c + 17*c as k*c + h + w*c**3 + t*c**2 and give k.
2
Rearrange (13 - 11 + 15)*((2 + 0 + 0)*(-3 + 3 + 2*b) - 2*b - 1 + 1) to p*b + v and give p.
34
Express 2 - p**4 + 23*p - 12*p - 14*p in the form q*p**3 + x*p**2 + n + b*p + o*p**4 and give n.
2
Rearrange 5*h**3 + 5*h**2 + h**2 + 4*h - 6*h to the form v*h**3 + d*h + f + k*h**2 and give k.
6
Express (-1 - 3 + 6)*(-3 - 3 + 4)*(-3 + i + 3) in the form c*i + d and give c.
-4
Express -4*f**2 + 2 + 4*f**2 + 2*f - f**2 in the form v + o*f**2 + w*f and give o.
-1
Rearrange -2*l + l + 4*l**3 + 0*l to q*l**3 + w*l + c*l**2 + y and give w.
-1
Express -158*b + 3*b**3 + 158*b + 9 as r + f*b + c*b**2 + q*b**3 and give q.
3
Rearrange m**4 - 26 + 5*m**3 + 26 - 3*m to the form k + i*m**2 + j*m**3 + u*m**4 + x*m and give u.
1
Express (-1 + 3 + 2 - 3 - 2 + 6 + (-1 + 0 + 3)*(3 - 2 - 3) - 6 + 3 + 1 - 6 + 2 + 2 + 1 - 2 + 2)*(3*t - 4*t + 3*t)*(-1 - 1 + 4) as a + i*t and give i.
-8
Rearrange -15*m**2 - 103 - 10*m**2 + 101 to w + x*m + h*m**2 and give w.
-2
Rearrange -6*j + 6*j + 2*j**2 + 16 to z + u*j**2 + v*j and give z.
16
Rearrange 5 + 230*a**2 - 239*a**2 - a**4 + a + 0*a**4 to the form w*a**2 + r*a**3 + s + o*a + k*a**4 and give k.
-1
Rearrange -9*q + 7*q - 4*q**2 + 2*q**2 + 2 + 2*q**4 to the form l + f*q**2 + p*q**4 + b*q**3 + r*q and give r.
-2
Rearrange -17*k + 3*k + 3*k to m*k + r and give m.
-11
Express 6*h**3 + 7*h**3 + h**2 - 19*h**3 - 5*h + 4*h**3 - 4 in the form y*h + i*h**3 + k*h**2 + g and give y.
-5
Rearrange -4*m**4 + 2*m - 13*m**2 - 1 + 2*m**4 + 11*m**2 to the form v*m + k*m**4 + n + f*m**2 + s*m**3 and give s.
0
Rearrange 6*p**2 - 2*p**2 + 0*p**2 + p**2 to the form r + b*p**2 + j*p and give b.
5
Express 4*k + 3*k**2 - 524 + 524 in the form v + h*k + b*k**2 and give b.
3
Express -11*i**2 - 20*i + 20*i as f*i**2 + b + y*i and give f.
-11
Express 14*b**2 + 5*b**2 - 35*b**2 + 11*b**2 as y*b + g*b**2 + k and give g.
-5
Rearrange (0 + 0 - 2*a)*(2 - 5*a**2 + 1 - 5) to r + f*a**2 + i*a + k*a**3 and give i.
4
Express -6*z**2 + 4*z**2 + 4*z - 4 + 4*z - 6*z as r + m*z**2 + n*z and give m.
-2
Rearrange (-5*g + g + 5*g - 2)*(-10 + 0 - 2) to the form n + u*g and give n.
24
Express -6*j**2 + 2*j**2 - 5*j**2 in the form c*j + f*j**2 + g and give f.
-9
Rearrange 10*o**3 - o - 2*o**2 + 0*o**4 + 2*o**4 - 13*o**3 + o**3 to g*o + h*o**4 + m*o**2 + z*o**3 + k and give g.
-1
Express 4 - 2 - 2 + 104*i**2 as c*i**2 + w + h*i and give c.
104
Express (-2*x - 4*x + 5*x)*(3*x - 3 + 3)*(0*x**2 - x**2 - 4*x**2) in the form l + k*x**4 + w*x**3 + j*x**2 + a*x and give w.
0
Rearrange -2 - x + 2 + (-2 + 4 - 1)*(x - 4*x + x) + x + x - x + 4*x - 2 + x - 2*x - 22*x - 99 - 28*x + 101 to the form v*x + a and give v.
-49
Express 11*m + 9*m - 32*m + 28 + 13*m in the form f + n*m and give n.
1
Rearrange 1 + 0 + 1 + i - 2*i - 2*i**4 to the form n*i + a*i**4 + y + q*i**3 + k*i**2 and give n.
-1
Rearrange (-2 + 2*k + 3 + 0)*(4*k - 9*k + 2 - 3*k) to q*k**2 + j*k + c and give j.
-4
Express (-5*l + 4*l - l)*(-l - l**3 - 3*l + 3*l**3) - l**4 - 2*l**3 + 2*l**3 in the form o*l + g*l**2 + s*l**4 + y + q*l**3 and give s.
-5
Express (0 + w + 0)*(5 - 5 - 1)*(3*w + 2*w + 8 - 4*w) as g + f*w + u*w**2 and give f.
-8
Rearrange 27*n + 2*n**2 + n**3 - 27*n + 2 - 3 to the form y*n**2 + a + f*n + b*n**3 and give a.
-1
Rearrange -7*c**3 - 168*c**2 - c + 2 + 168*c**2 to the form p*c + d*c**2 + k + r*c**3 and give r.
-7
Express ((-3 + 0 + 1)*(1 - 1 + x**2) - 63*x - 2*x**2 - 7 + 63*x)*(-x**2 - x**2 + 3*x**2) as w*x + q*x**4 + a + t*x**3 + u*x**2 and give q.
-4
Rearrange (2 - o**2 + 2*o**2 - 5 + o)*(-4*o - 4*o + 5*o) to the form w*o + b*o**3 + t*o**2 + n and give t.
-3
Express -13*s + 0*s - 5*s as j + f*s and give f.
-18
Rearrange -3*r - 6*r - 2*r + (-2*r + 0*r + 4*r)*(-1 + 4 - 1) + 0*r - r + 3*r to c + n*r and give n.
-5
Express 2*n**2 + 5*n**2 - 4*n**2 + 2*n**3 in the form g*n**2 + x*n + r + j*n**3 and give g.
3
Rearrange -3 + 0 + 3 - 4*s - s**2 to t + f*s + k*s**2 and give f.
-4
Express 3 + 6 - 5*w**2 - 11 + 2*w - 3*w**4 in the form r + s*w**2 + c*w + l*w**3 + p*w**4 and give s.
-5
Rearrange 4*a**2 - 31*a**3 + 11*a**3 + 2 + 25*a**3 to g*a**3 + y*a**2 + m + l*a and give g.
5
Express -4*y**4 - 2 + 4*y - 3*y + y**2 + 5*y**4 as q*y + t + g*y**3 + m*y**4 + n*y**2 and give m.
1
Rearrange -706 + 706 - 14*s**2 to the form o + z*s + n*s**2 and give n.
-14
Express -12 + 12 - 8*w - w as a*w + r and give a.
-9
Express -8 - d - 2*d**2 + 11 - 2 as c + j*d**2 + k*d and give c.
1
Rearrange (2*i**2 + 0*i**2 + 1 + 2)*(20 - 2*i - 20) to the form y*i**2 + k*i**3 + l*i + h and give l.
-6
Rearrange ((3 - 3 - 1)*(-7 + 4 + 1) + 4 - 10 + 10)*(p**3 - p**3 - 3*p**4) to the form c + i*p**3 + a*p**4 + o*p**2 + b*p and give a.
-18
Rearrange (-1 - 3 + 3)*(0 - 2 + 1)*(-n**4 + 3*n**4 + 0*n**4) + 0*n**4 - 6*n**4 + 5*n**4 to the form y*n**2 + j*n**3 + q + w*n**4 + s*n and give w.
1
Rearrange -103*w**3 - w + 105*w**3 - 14 + w to j + x*w**2 + s*w + y*w**3 and give y.
2
Express -57*z - 32 - 25 + 55 in the form w + n*z and give w.
-2
Express 9*r + 14*r + 3 - 3 in the form l + v*r and give v.
23
Express -6*d - 2*d**3 + 6*d + (d**2 + d - d)*(-2*d + 3*d + 3*d)*(2 + 2 - 6) in the form k*d**2 + f*d**3 + i*d + a and give f.
-10
Rearrange 23*d - 22*d + d**4 - 2 + 0*d**4 + d**2 - 3*d**4 to the form n*d**4 + k + w*d**3 + t*d + b*d**2 and give n.
-2
Express (-p + p + 2*p)*(-20*p**2 - 8*p
|
{
"pile_set_name": "DM Mathematics"
}
|
p, given that q(p) = 0.
-1, -2/3, 5
Let 0 - 1/3*z**2 - 1/3*z = 0. What is z?
-1, 0
Let h = 14596/18941 + -2/1457. Let y = h - 4/39. Factor -2/3*j + 2/3*j**3 + 0 - 2/3*j**4 + y*j**2.
-2*j*(j - 1)**2*(j + 1)/3
Let -4*h + 24/7 + 4/7*h**2 = 0. Calculate h.
1, 6
Let -2*o**5 - 8*o**3 + 7*o**4 - 7*o**4 + 4*o**5 - 4 + 4*o**2 + 6*o = 0. What is o?
-2, -1, 1
Let c be (20/(-6) + 3)/1*-1. Determine i, given that c*i**2 + 1/3 - 2/3*i = 0.
1
Let c(v) be the first derivative of 9*v + 1/3*v**3 - 3*v**2 + 3. Factor c(k).
(k - 3)**2
Let k(w) = 2*w - 4. Let q(u) = -u**3 - 9*u**2 + 9*u - 8. Let v be q(-10). Let t be k(v). Factor t - 2/5*y**2 + 4/5*y.
-2*y*(y - 2)/5
Determine h, given that 38/7*h**2 - 19/7*h - 5/7*h**3 - 2 = 0.
-2/5, 1, 7
Let y(f) = -12*f**4 + 40*f**3 - 34*f**2 + 6*f. Let q(r) = -24*r**4 + 80*r**3 - 67*r**2 + 11*r. Let h(k) = 2*q(k) - 5*y(k). Find a such that h(a) = 0.
0, 1/3, 1, 2
Let k(u) = 40*u**4 - 72*u**3 - 45*u**2 - 14*u + 8. Let t(h) = -27*h**4 + 48*h**3 + 30*h**2 + 9*h - 5. Let a(c) = 5*k(c) + 8*t(c). What is g in a(g) = 0?
-1/4, 0, 2
Let l(p) be the second derivative of -p**5/100 - p**4/20 - p**3/15 + 22*p. Suppose l(k) = 0. What is k?
-2, -1, 0
Let y(p) be the third derivative of 9*p**7/490 - p**6/14 - 23*p**5/140 + 3*p**4/28 + p**2. What is r in y(r) = 0?
-1, 0, 2/9, 3
Let b(t) be the third derivative of -t**5/30 + t**4/12 + 2*t**3/3 + 7*t**2. Factor b(d).
-2*(d - 2)*(d + 1)
Let j(z) be the first derivative of 2*z**5/5 - 2*z**4 + 8*z**3/3 + 23. Factor j(x).
2*x**2*(x - 2)**2
Let i(l) be the first derivative of -5*l**3/9 + 5*l**2/3 - 5*l/3 - 13. Factor i(o).
-5*(o - 1)**2/3
Let a(i) = -2*i**2 + 7*i - 2. Suppose 0 = 3*r + 4 - 16. Let w be 14/(-4) - r/(-8). Let v(t) = 10*t**2 - 36*t + 10. Let y(c) = w*v(c) - 16*a(c). Factor y(z).
2*(z - 1)**2
Let b(a) be the second derivative of 0 - 1/2*a**2 + a + 1/240*a**5 + 1/96*a**4 - 1/12*a**3. Let f(q) be the first derivative of b(q). Solve f(g) = 0.
-2, 1
Factor -8/7*u**2 + 0*u + 0 - 4/7*u**3.
-4*u**2*(u + 2)/7
Let f(s) be the third derivative of s**7/150 - 47*s**6/600 + 49*s**5/150 - 13*s**4/30 - 4*s**3/5 - 27*s**2. Factor f(o).
(o - 3)*(o - 2)**2*(7*o + 2)/5
Let f(r) = 3*r**4 + 3*r**3 - r + 1. Let t be -2*9/(-6) + -2. Let b(q) = q**4 + q**3 - q + 1. Let o(v) = t*f(v) - b(v). Determine w, given that o(w) = 0.
-1, 0
Let a(j) be the first derivative of -j**5/15 + j**4/12 + 5*j**3/9 + j**2/2 + 6. Factor a(x).
-x*(x - 3)*(x + 1)**2/3
Let n(h) be the first derivative of -h**6/8 + 21*h**5/20 + 3*h**4/8 - 23*h**3/2 - 195*h**2/8 - 75*h/4 - 20. Find y such that n(y) = 0.
-1, 5
Factor -b**2 + b**2 - 28*b**3 + 27*b**3.
-b**3
Suppose 0 = 3*r - 57 - 12. Factor r*x**2 + 42*x**3 - 4*x**4 - x**2 + 22*x**4 + 10*x**2 + 8*x.
2*x*(x + 1)*(3*x + 2)**2
Let p(m) be the third derivative of -m**7/420 + m**6/80 - m**5/40 + m**4/48 - m**2. Factor p(z).
-z*(z - 1)**3/2
Let p(k) be the third derivative of k**7/7560 - k**6/2160 + k**4/8 - 3*k**2. Let d(a) be the second derivative of p(a). Factor d(h).
h*(h - 1)/3
Let y(w) = w + 1 - 2 + 0. Let p be y(3). Find i such that 48*i**2 + 105*i + p*i**4 + 40 + 16*i**3 - 41*i - 8 = 0.
-2
Let d be ((-11)/198)/((-2)/4). Let i(k) be the second derivative of 1/54*k**4 + 0 + 1/27*k**3 - 1/90*k**5 - d*k**2 - 3*k. Factor i(o).
-2*(o - 1)**2*(o + 1)/9
Let k(m) be the second derivative of -m**7/210 - m**6/40 - m**5/20 - m**4/24 - m**2/2 - 2*m. Let u(a) be the first derivative of k(a). Factor u(j).
-j*(j + 1)**3
Let m be (-1)/2 - 234/(-132). Let y = m - -2/33. Determine u, given that -2/3*u**4 - 2/3*u**2 + 0 - y*u**3 + 0*u = 0.
-1, 0
Let g(o) be the third derivative of o**5/120 - o**4/8 + 3*o**3/4 + 3*o**2. Let g(m) = 0. Calculate m.
3
Let t(j) be the second derivative of 1/8*j**2 - 1/12*j**3 - 1/16*j**4 - 2*j + 0. Solve t(y) = 0.
-1, 1/3
Let a = 308/9 - 34. Let i(p) be the first derivative of 1/12*p**4 + 1/6*p**2 + 2 + 0*p + a*p**3. Factor i(f).
f*(f + 1)**2/3
Factor u - u - 1 - 3*u**2 + 2*u**3 - 3*u - 3*u**3.
-(u + 1)**3
Suppose -3*q + k - 5*k = -73, q + 3*k - 26 = 0. Suppose 0 = -3*i + 4*i + 2*g - 2, 5*g + q = i. Suppose 11/2*d + 1 + i*d**2 + 7/2*d**3 = 0. What is d?
-1, -2/7
Let o(z) = -6*z - 3. Let u be o(-1). Let c(r) be the first derivative of 1/8*r**4 - 1/2*r**u - 1/2*r + 3/4*r**2 - 2. Factor c(x).
(x - 1)**3/2
Suppose 3*q - 6 = -r - 2, 0 = -4*q + 4*r + 16. Factor -10*p**q - p - 4*p - p**3 - 2 + 6*p**2.
-(p + 1)**2*(p + 2)
Let f(x) be the third derivative of x**5/30 + x**4/2 + 3*x**3 - 5*x**2. Solve f(w) = 0 for w.
-3
Suppose -17 = -11*t + 5. Solve 1/4*r**3 + 1/2 + r**t + 5/4*r = 0.
-2, -1
Let j be 8 + -5 + 57/(-21) + 0. Factor -2/7*q**3 + j*q - 2/7*q**2 + 2/7.
-2*(q - 1)*(q + 1)**2/7
Let d(j) be the second derivative of j**7/84 + j**6/10 + 9*j**5/40 - 4*j. Factor d(m).
m**3*(m + 3)**2/2
Let q(x) = -x**2 - 13*x + 16. Let g be q(-14). Let -98/3*y**5 - 56/3*y**g + 0 + 30*y**3 + 8/3*y + 56/3*y**4 = 0. What is y?
-1, 0, 2/7, 1
Let x(k) be the first derivative of 2*k**3/3 + 3*k**2 - 8. Determine f, given that x(f) = 0.
-3, 0
Suppose 4*y + 3 + 7 = c, -5*y - 23 = 4*c. Let u = 11/5 + c. Suppose 3/5*i**2 - u*i - 3/5*i**3 + 1/5*i**4 + 0 = 0. What is i?
0, 1
Suppose 3*d - 13 = -4*i, -11 = -3*d - 5*i + 3*i. Factor 46*x**5 - x**2 + 2*x**3 + d*x**2 - 2*x**4 - 48*x**5.
-2*x**2*(x - 1)*(x + 1)**2
Let p(j) be the first derivative of -j**4/48 - j**3/4 - 9*j**2/8 + 7*j + 9. Let w(m) be the first derivative of p(m). Factor w(l).
-(l + 3)**2/4
Let m = 4 - 3. Let o(s) be the first derivative of 2*s + m + 1/6*s**3 + s**2. Factor o(h).
(h + 2)**2/2
Let p(f) be the first derivative of -3*f**5/5 - 3*f**4 - 3*f**3 + 6*f**2 + 12*f + 7. Factor p(h).
-3*(h - 1)*(h + 1)*(h + 2)**2
Let d = -1 - -1. Suppose -2*y + d*y = -4. Suppose 3*u - 3*u**y - 2*u**3 - 6*u + 3 + 5*u**3 = 0. What is u?
-1, 1
Let r(c) be the third derivative of c**6/40 + 3*c**5/20 - 8*c**2. Factor r(x).
3*x**2*(x + 3)
Let p be (3/6*4)/(-13 - -17). Let u = -16/7 - -39/14. Factor 0 - p*l + u*l**2.
l*(l - 1)/2
Suppose 0 = -n + 8 - 5. Suppose -q + 1 = w, -3*w = n*q - w - 2. Factor q + 2/5*l**2 + 1/5*l + 1/5*l**3.
l*(l + 1)**2/5
Let x(z) be the first derivative of 7*z**5/90 - 5*z**4/36 - 2*z**3/9 - 3*z**2/2 - 2. Let j(s) be the second derivative of x(s). Factor j(q).
2*(q - 1)*(7*q + 2)/3
Let p(l) be the third derivative of 3*l**5/10 - 5*l**4/8 - l**3/2 - l**2. Let v(f) = 17*f**2 - 15*f - 2. Let x(u) = 4*p(u) - 3*v(u). Factor x(y).
3*(y - 1)*(7*y + 2)
Let k(l) = -9*l - 144. Let h be k(-16). Factor h*g + 0 - 4/9*g**2 - 2/9*g**3.
-2*g**2*(g + 2)/9
Let j(o) be the first derivative of -2 - 1/30*o**5 - 1/42*o**4 - 1/2*o**2 + 0*o + 0*o**3. Let l(c) be the second derivative of j(c). Solve l(i) = 0 for i.
-2/7, 0
Factor -6/7*h - 8/7 + 2/7*h**2.
2*(h - 4)*(h + 1)/7
Let i(n) = n + 1. Let u be i(2). Let f be -10*2/(-4)*1. What is a in a**4 - 2*a**2 + a + 1 - 5*a**3 - u*a**5 + 3*a**3 + 4*a**f = 0?
-1, 1
Let a(b) = b**2 + 28*b - 29. Let d be a(-29). Let r be (-2)/10 - 42/(-10). Factor 2/9*i**r - 4/9*i**2 + 0*i + 2/9 + d*i**3.
2*(i - 1)**2*(i + 1)**2/9
Let i(u) be the third derivative of 0*u**4 - u**2 + 1/1344*u**8 + 0*u**3 - 1/280*u**7 + 0*u**5 + 0 + 1/240*u**6 + 0*u. Suppose i(v) = 0. What is v?
0, 1, 2
Let l(v) be the third derivative of v**5/210 + v**4/84 - 5*v**2. Factor l(i).
2*i*(i + 1)/7
Let c(f) = -f + 3. Let z be c(4). Let b be (38 + z + 1)/9. What is h in -4/3*h**3 - 20/9*h**5 + 0 - b*h**4 + 4/9*h + 10/9*h**2 = 0?
-1, -2/5, 0, 1/2
Let j(q) be the second derivative of 0 + 0*q**3 + q + 0*q**2 - 1/50*q**5 + 1/15*q**4. Factor j(p).
-2*p**2*(p - 2)/5
Let h(k) = k + 5. Suppose -y = -5*p + 3, 4*p = -4*y - 15 + 3. Let n be h(y). Let 6*b**2 + 2*b**2 - 4*b + 2 - 6*b**n = 0. Calculate b.
1
Factor 28/5*x - 4/5*x**3 - 24/5*x**2 + 0.
-4*x*(x - 1)*(x + 7)/5
Let y be (-11)/(-110)*2/12. Let j(q) be the third derivative of 0 + 0*q + 2/3*q**3 - 3*q**2 + 0*q**5 + 1/4*q**4 - y*q**6. Factor j(d).
-2*(d - 2)*(d + 1)**2
Let m = -15 + 22. Suppose 5*b = 27 - m. Find r such that -14/5*r**b + 18/5*r**3 - 18/5*r + 4/5 + 2*r**2 = 0.
-1, 2/7, 1
Let b(m) be the first derivative of 2*m**3/3 + 10*m**2/3 + 50*m/9 - 15. Solve b(t) = 0.
-5/3
Suppose 5*g - 24 = 3*r, -2*r = -6*g + 5*g + 2. Factor -9*j**3 - 2 + j**2 - 13*j**2 - 4 - 15*j + g*j**3.
-3*(j + 1)**2*(j + 2)
Let p(o) be the third deriv
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{
"pile_set_name": "DM Mathematics"
}
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v.
2, 41
Let c be -1*3 + 30/3. Let s(h) = 2*h + 9. What are the prime factors of s(c)?
23
Let y(a) = a**2 - 7*a - 13. List the prime factors of y(-6).
5, 13
Let s(y) = 3*y**2 - 2*y + 1. Let h be s(1). Suppose 0 = h*j - 4*j + 8. Suppose 0 = 2*t - 4, -5*f + 0*f - j*t + 98 = 0. List the prime factors of f.
2, 3
Let b(k) = k**2 - 6*k - 6. Let o be b(6). Let j = 17 + o. What are the prime factors of j?
11
Suppose p + 4*w = 15, p = 4*p - 2*w - 17. Let l = p - 3. What are the prime factors of l?
2
Suppose -2*c + 1 = -1. Let i = c + 22. List the prime factors of i.
23
Let m = -4 + 6. Let t(u) be the third derivative of u**6/60 - u**5/30 + u**3/3 - 5*u**2. List the prime factors of t(m).
2, 5
Let r be (1 - 0)*(2 + 1). Let h = 5 - r. Suppose -2*b + 35 + h = i, -2*i = -2*b + 22. List the prime factors of b.
2
Let j = 54 + 29. Suppose -d - 5 = i - 19, -4*i + 5*d = -j. What are the prime factors of i?
17
Suppose -1 - 5 = 2*r. Suppose -4*k = -0*k - 44. What are the prime factors of 3*(-1)/r*k?
11
Suppose -5*q - 73 = -0*n + 2*n, -4*q = -n - 17. List the prime factors of (-2 + n)*2/(-2).
31
Suppose 507 = 5*z + 2. What are the prime factors of z?
101
List the prime factors of 9/(-54) + (-914)/(-12).
2, 19
Let f be (3 + -11)*2/(-4). Let d(l) = -l**2 + 3*l - 6. Let u be d(f). Let j = u + 21. What are the prime factors of j?
11
Let m = 279 - 191. What are the prime factors of m?
2, 11
Suppose 2*u - 16 = -2*u. Suppose v - u = 3. What are the prime factors of v?
7
Let b = 0 + 75. What are the prime factors of b?
3, 5
Let l be 7/3 - (-2)/(-6). Suppose -4 + 22 = l*f. What are the prime factors of f?
3
Suppose -w + 106 = -5*z, 4*z + 0 = -4*w - 80. Let n = 31 + z. What are the prime factors of n?
2, 5
Suppose -2*u - 7 + 47 = 0. Suppose -20 = -4*m + 4*q + u, 0 = -4*m + 2*q + 50. List the prime factors of m.
3, 5
Let t(w) be the second derivative of -w**5/20 - w**4 - 7*w**3/3 - 7*w**2/2 - 9*w. What are the prime factors of t(-11)?
2, 13
Suppose 3*c = 5*q + 727, -q + 108 = 3*c - 625. List the prime factors of c.
2, 61
Suppose -n = 27 - 6. Let l = n + 45. What are the prime factors of l?
2, 3
Let k(g) = 40*g**2 - 2*g + 3. List the prime factors of k(2).
3, 53
Let o(z) = -12*z + 3. List the prime factors of o(-5).
3, 7
Let x(s) = s**2 + 12*s - 28. What are the prime factors of x(-15)?
17
Let b(q) = -q + 7. Let u = -6 + 11. Let d be b(u). Suppose d*l = -l + 18. List the prime factors of l.
2, 3
Suppose -2*j + 4*o = -64, 4*o + 98 = -0*j + 3*j. Let x = j - 25. What are the prime factors of x?
3
Let i be ((-8)/10)/((-10)/(-25)). Let q = i + 20. What are the prime factors of q?
2, 3
Let w(q) = 6*q - 3. Let a be w(3). Let g(l) = -4*l - 1. Let d be g(-1). Suppose 5*p - a = d*k - 6, 5*p - 17 = -k. What are the prime factors of p?
3
Let d be 0*2/4*2. Suppose 3*o = 5*z - 55, 4*z - 2*z + 5*o + 9 = d. Let m = -3 + z. What are the prime factors of m?
5
Let q = 4 + -2. Suppose -b - b = 2*g - 26, 10 = q*b. What are the prime factors of g?
2
Let u be 8/(3/((-3)/(-2))). List the prime factors of 68/8 + 2/u.
3
Let t be 1576/(-44) + 8/(-44). List the prime factors of (4/3)/((-4)/t).
2, 3
Suppose w = 5*l + 3, 3*l = 4*w - w - 33. List the prime factors of w.
13
Suppose -160 = -7*z + 2*z. List the prime factors of z.
2
Let f(c) = -2 + 6*c + c + 6*c - 4*c. What are the prime factors of f(2)?
2
Let w = -23 - -27. Suppose 5*x + 3 = 5*m - 97, -5*m + w*x = -103. What are the prime factors of m?
23
Let l(w) = 2*w + 9. What are the prime factors of l(9)?
3
Suppose 3*m = -6 - 0, 0 = -5*t - 5*m + 65. Suppose 5*j - 2*j = -t. List the prime factors of -2*(0 - j/(-2)).
5
Suppose -3*u - 3*g + 10 = 1, 3*g - 6 = -2*u. Let o(w) = w**3 + 4*w**2 + 1. Let b be o(-3). Let s = u + b. What are the prime factors of s?
13
Let d(w) = 7 - w**3 + 2*w - 13 + 8 + 5*w**2. What are the prime factors of d(3)?
2, 13
Let s be -2*-31*(-2)/(-4). Let g = s - 18. What are the prime factors of g?
13
Suppose -2*p = -0*p - 308. List the prime factors of p.
2, 7, 11
Let t be -52 + -1 + 0/2. Let m = -30 - t. What are the prime factors of m?
23
Let t = 151 + -76. Suppose 5*c + 0*c - f = t, -5*c + 90 = 2*f. List the prime factors of c.
2
Suppose 38 - 158 = -5*h. Let a = 3 - -14. Let y = h - a. List the prime factors of y.
7
Suppose l + 0*l + 45 = 0. Let o = -22 - l. List the prime factors of o.
23
Suppose 1083 = 3*w + 3*r, 4*r + 271 = 2*w - 421. List the prime factors of w.
2, 89
Let u(g) = -2*g**2 - 2*g + 6. Let t be u(-5). List the prime factors of 3/(-6) + t/(-4).
2
Let r = -31 - -16. List the prime factors of 3/3 + 2 - r.
2, 3
Let h = 25 - 25. Suppose -2*t + 5*v = -40, 0*v - v - 2 = h. What are the prime factors of t?
3, 5
Let u(c) = c**2 + 4*c - 9. What are the prime factors of u(10)?
131
Let v(a) = -a**3 + 14*a**2 - 9*a. Let t be v(13). Let y = -36 + t. List the prime factors of y.
2
Let c = 61 - 16. What are the prime factors of c?
3, 5
Let b(l) be the first derivative of -l**3/3 + 4*l**2 + 5*l + 1. What are the prime factors of b(5)?
2, 5
Let o(b) = b**2 + 4*b + 4. Let m be o(-4). Suppose 3*d = 3, -4*i + m*d = -8*i + 40. List the prime factors of i.
3
Suppose w - 36 = 10. What are the prime factors of w?
2, 23
Let n(g) be the first derivative of g**2/2 + 13*g + 1. Let q be n(-11). Suppose 21 = q*x - 19. What are the prime factors of x?
2, 5
Let r = 51 - -94. List the prime factors of r.
5, 29
Let b(w) = 7*w**2 - 2*w + 2. What are the prime factors of b(4)?
2, 53
Let b = 280 - 190. List the prime factors of b.
2, 3, 5
Let m(k) be the first derivative of k**3/3 - k**2/2 - 2. List the prime factors of m(4).
2, 3
What are the prime factors of ((-3)/9)/(4/(-732))?
61
Suppose -9*u + 471 = -69. List the prime factors of u.
2, 3, 5
Let p(c) = 5*c + 2. List the prime factors of p(8).
2, 3, 7
Let g be (-1)/4 - 2/(-8). Suppose -4*o + 16 = 4*r, g = 2*o + 4*r - 7 - 1. Let x = 7 - o. What are the prime factors of x?
3
Suppose 0 = 5*c + 3 + 17. Let a be c*(-1 - (-27)/(-12)). Suppose -a = -3*b - 1. List the prime factors of b.
2
Let l(o) = -o**3 - 12*o**2 + 9*o - 15. Let x be l(-13). Suppose -3*r + 31 = 4*q - 10, 3*q - x = -r. List the prime factors of q.
2, 7
Suppose -2*h = 2, 3*d + 4*h + 180 = 5*d. List the prime factors of d.
2, 11
Let y(l) = -l**3 - 2*l**2 + 2*l + 3. Let n(a) = -a**3 + 7*a**2 - 3. Let v be n(7). List the prime factors of y(v).
2, 3
Suppose -4*s - 3*v = -35, -4*s + 4*v = 18 - 74. Suppose -3*p + x = p - s, 3 = 3*p + x. List the prime factors of p.
2
Suppose 12 = 4*v + 4*y, 0 = 2*v - y - 3 - 3. Suppose -32 - 67 = -v*w. List the prime factors of w.
3, 11
Let i = -1 + 4. Suppose 0 = i*f - 0 - 9. List the prime factors of 86/8 + f/12.
11
Suppose 0 = 2*q - 32 - 102. What are the prime factors of q?
67
List the prime factors of 3647/28 + (-2)/8.
2, 5, 13
Suppose -4*f - 109 = 3*v + 13, v + 28 = 5*f. Let y = 64 + v. What are the prime factors of y?
2, 13
Suppose 4*i = -r + 24, -3*r - 1 = -2*i - 3. Suppose -70 = -2*v + 3*g, r*v + 70 = 6*v + 5*g. Let k = -25 + v. List the prime factors of k.
2, 5
Let z be (-5)/((-10)/(-6)) - -10. Let a(r) = 0*r**3 - 6 - 6*r**2 + 2 - 5*r + r**3. List the prime factors of a(z).
2, 5
Suppose -6 = 3*h + 3. What are the prime factors of 2 + 0/(6/h)?
2
Let n(z) = z + 4. Suppose 44 = 4*l - 3*m, 2*l + 2*m - 24 = -2*l. What are the prime factors of n(l)?
2, 3
Let d(v) be the second derivative of v**5/20 + v**4/3 - v**3/3 + v**2/2 - 5*v. Let j(q) = -3*q + 2. Let g be j(2). What are the prime factors of d(g)?
3
Let j(x) = -7*x + 4. Let t be j(3). Let r = -34 - t. Let m = -10 - r. List the prime factors of m.
7
Let w(i) = 4*i**2 + i + 2. Let f be w(-2). Let x = -5 + f. List the prime factors of x.
11
Suppose -c + 0 = -h - 1, -c = 5*h - 19. What are the prime factors of -11*2/c*-4?
2, 11
What are the prime factors of 195/12 + (-2)/8?
2
Let p(j) = j**3 - 2*j**2 + 8*j + 3. Let h be p(6). Suppose h = 2*z + 3*z. What are the prime factors of z?
3, 13
What are the prime factors of -4*1*(-6 - 3 - -2)?
2, 7
Let k(s) = s. Let c be k(3). Suppose -3*p + 31 = 4*r, 2*r - c*p + 7 = -0*r. Suppose v - 25 = 2*b, 3*b - 80 = -r*v + 7*b. List the prime factors of v.
3, 5
Let n be (-6)/39 + (-2292)/(-26). Let k = n - 61. What are the prime factors of k?
3
Let j(t) = t**2 - t - 1. Let q be j(3). Suppose 0 = q*i - 8*i + 90. Suppose -
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{
"pile_set_name": "DM Mathematics"
}
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(i) = -i**2 - 5*i + 2. Let f(g) = g**2 - g + 1. What is 3*f(o) - v(o)?
4*o**2 + 2*o + 1
Let p(b) = -7*b - 12. Let t(z) = -z - 1. Let g(w) = -w**3 + 10*w**2 + 13*w - 23. Let q be g(11). What is q*p(v) + 5*t(v)?
2*v + 7
Let w = 0 + -4. Let d be 2 - ((-3)/3 - w). Let m(y) = 5*y - 12. Let j(g) = -5*g + 13. Let b(v) = -6*j(v) - 7*m(v). Let s(n) = -n + 1. What is d*b(q) + 6*s(q)?
-q
Let q(t) = -t**3 + 7*t**2 - 2*t + 11. Let m(h) = -4*h**2 + h - 6. What is 11*m(i) + 6*q(i)?
-6*i**3 - 2*i**2 - i
Let b(g) = 5*g**2 + 4*g. Let u(s) = -2*s**2 - 2*s. Let n(h) = 3*b(h) + 7*u(h). Let q(t) = 0*t + 7*t**2 - 9*t - 3*t**2. Let i = -2 - -4. Give i*q(c) - 9*n(c).
-c**2
Let u(b) = 10*b - 2*b + 11*b**2 - 2 + 2*b**3 - 2*b**2 - b**3. Let x be u(-8). Let f(t) = -1. Let j(p) = p + 11. Determine x*j(g) - 22*f(g).
-2*g
Let d(c) = -c. Let z(s) = s**2 - s. Determine 4*d(l) - 5*z(l).
-5*l**2 + l
Let w(b) = 5*b - 1. Let d(f) = -f - 1. Determine -3*d(z) - w(z).
-2*z + 4
Let v(q) = 1. Let k be 0/(-1*(1 - 0)). Let w = 1 + k. Let u(b) = -b - 2*b + w - 6 + b. Give -u(z) - 3*v(z).
2*z + 2
Let p(c) = -3*c**3 - 5*c - 4. Let k(g) = -g**3 + 8*g**2 - 10*g + 16. Let q be k(7). Let v(o) = -8*o**3 - 12*o - 10. Give q*v(y) + 12*p(y).
4*y**3 + 2
Suppose c + h = 1, 0 = 3*c - 4*h + 2*h + 17. Let s(k) = 5*k**2 - 3*k + 1. Let o be (6/(-15))/((-1)/20). Let r(a) = 14*a**2 - 8*a + 2. Calculate c*r(u) + o*s(u).
-2*u**2 + 2
Let a(s) = -s**2 + 1. Suppose -3*n + 6 = -2*n. Let v(r) = 4*r**2 - r - 8. Give n*a(m) + v(m).
-2*m**2 - m - 2
Let v(h) = -h**3 + 10*h + 7. Let u = -3 + -1. Let r = u - -22. Suppose 5*b - 1 = o - 14, 3*b = 4*o - r. Let l(m) = 3*m + 2. Calculate b*v(k) + 7*l(k).
2*k**3 + k
Suppose -35 = -0*m + 7*m. Let i(q) = -6*q**2 - 3*q - 4. Let a(t) = -7*t**2 - 4*t - 5. Calculate m*i(v) + 4*a(v).
2*v**2 - v
Let b(p) = -7*p - 1. Suppose -d - 4 = 1. Let g(r) = -4*r - 1. Let t(j) = -5*j - 1 - 2*j - 1. Let m(u) = -5*g(u) + 2*t(u). Calculate d*m(v) - 4*b(v).
-2*v - 1
Suppose 3*n + 2*m + 7 = 0, 2 = -3*n - 3*m - 1. Let g(v) = -3*v + 6. Let f(z) = -z**2 - 7*z - 4. Let t be f(-5). Let y(s) = -4*s + 7. Give n*y(j) + t*g(j).
2*j + 1
Suppose 5*s - 12 = -2. Let l(y) = 3*y**3 + 2*y**2 + 2*y - 2. Let g(r) = 8*r**3 + 7*r**2 + 7*r - 7. Calculate s*g(d) - 7*l(d).
-5*d**3
Let o(k) = -2*k**2 + 11*k - 22. Let t be o(5). Let v(x) = -15*x**3 + 17*x**2 + 17. Let y(d) = 5*d**3 - 6*d**2 - 6. Determine t*y(i) - 6*v(i).
5*i**3
Let w(o) = 2*o**2 + 3*o**2 - o**2 - 3*o**2 - o. Let q(j) = -j - 6. Let t be q(-5). Let a(v) = -v**3 - 2*v**2 + 2*v - 2. Calculate t*a(y) - 2*w(y).
y**3 + 2
Let s(h) = h - 1 - 5*h + 3*h. Let l(n) = -3*n**2 + n + 1. Give -l(f) - s(f).
3*f**2
Let y(v) = -v. Suppose 4*q + 1 = 3*q. Let j(i) be the third derivative of -i**4/24 - 34*i**2. Determine q*j(r) - 2*y(r).
3*r
Let d(m) = m - 3. Let u(t) = -3*t + 10. Determine -7*d(v) - 2*u(v).
-v + 1
Let v be 54/(-4) + ((-91)/(-14) - 6). Let c(z) = -2*z**2 + 8*z + 1. Let x(j) = 4*j**2 - 17*j - 2. What is v*c(u) - 6*x(u)?
2*u**2 - 2*u - 1
Let k(d) = -3*d**3 - 11*d**2 - 17*d - 17. Suppose -y + 17 + 0 = 0. Let j(i) = i**3 + 4*i**2 + 6*i + 6. Give y*j(q) + 6*k(q).
-q**3 + 2*q**2
Let j(s) = s**3 - 2*s**2 + 3*s. Let b(g) = -8*g**2 + 7*g - 3. Let x(i) = -i**3 + 23*i**2 - 21*i + 8. Let k(o) = -8*b(o) - 3*x(o). Give 5*j(r) - 2*k(r).
-r**3 + r
Let s(i) = -i**2. Let w(n) = 14*n**2. Give 102*s(y) + 6*w(y).
-18*y**2
Let k(t) = -6*t + 26. Let o(g) = 2*g - 9. Give 2*k(d) + 7*o(d).
2*d - 11
Let f(z) = z**2 - 3*z + 2. Let j(r) = -r + 1. Let q be ((-9)/36)/(1/(-4)). Determine q*f(u) - 2*j(u).
u**2 - u
Let p(k) = -21*k. Let l(w) = -7*w. Determine 14*l(q) - 4*p(q).
-14*q
Let i(n) = 2*n + 2. Let y(c) = -c. Give i(m) + 8*y(m).
-6*m + 2
Let m(z) = 9*z + 2. Let i(k) = k. Give -5*i(t) + m(t).
4*t + 2
Let c(w) = w + 5. Let s(h) = h + 18. Let o be s(-17). Let m(i) = -i**2 + i + 1. What is o*c(l) - 2*m(l)?
2*l**2 - l + 3
Let s(m) = -4*m - 8. Let r(g) = 7*g + 16. Calculate -3*r(f) - 5*s(f).
-f - 8
Let s(l) = -11*l**3 + 2*l. Let z(k) = -5*k**3 + k. Calculate -6*s(m) + 14*z(m).
-4*m**3 + 2*m
Let u(d) = -6*d + 11. Let w(v) = -17*v + 34. Give -11*u(r) + 4*w(r).
-2*r + 15
Let k(m) = -2*m - 5. Suppose -5 = 7*l + 2. Let d(w) = 1. Let u = -15 + 11. Determine l*k(o) + u*d(o).
2*o + 1
Let l = -85 - -93. Let y(n) = -11*n - 6. Let c(i) = -4*i - 2. Give l*c(h) - 3*y(h).
h + 2
Let v(w) = w**3 + 2*w**2 + 2*w - 3. Let h(m) = m - 1. What is -6*h(x) + 2*v(x)?
2*x**3 + 4*x**2 - 2*x
Let g(h) = -h + 3. Let q be g(3). Let o = 1 + q. Suppose -a = -u + 1, o = -2*a - 3*a + 4*u. Let x(t) = -4*t + 1. Let s(f) = -f. Give a*s(p) - x(p).
p - 1
Let o = -41 + 40. Let u(d) = 5*d**2. Let i(m) = m**2. What is o*u(l) + 6*i(l)?
l**2
Let j(z) = -3*z**2 - 7*z - 6. Let b(s) = s**2 + 2*s + 2. Let x(p) = -8*b(p) - 3*j(p). Let q(t) = t + 1. What is 3*q(y) - x(y)?
-y**2 - 2*y + 1
Let m(s) = 13*s + 4. Let f(x) = -51*x - 17. Give 2*f(z) + 9*m(z).
15*z + 2
Let f(k) = -k**2 + 2*k - 1. Let r(w) = 26*w**2 - 6*w + 6. Determine 3*f(b) + r(b).
23*b**2 + 3
Let l(q) = -21*q**3 + 11*q**2 + 14. Let p(y) = -7*y**3 + 4*y**2 + 5. What is -6*l(z) + 17*p(z)?
7*z**3 + 2*z**2 + 1
Let w(m) = -2*m**2 + 4*m + 9. Let b(x) = 4*x**2 - 9*x - 19. Determine 6*b(a) + 13*w(a).
-2*a**2 - 2*a + 3
Let h(r) = 3*r + 11. Let v be h(-6). Let o(p) = p**2 + 4*p + 4. Let z(t) = t**3 - 2*t**2 - 7*t - 7. Calculate v*o(m) - 4*z(m).
-4*m**3 + m**2
Let l(i) = -7*i**3 + 9*i**2 + 3*i**2 + 7*i**2 - 11*i**2. Let r(w) = -2*w**3 + 3*w**2. Calculate 3*l(j) - 8*r(j).
-5*j**3
Let r(l) = l**2 + 6*l. Let y(q) = 10*q**2 + 55*q. Give 55*r(a) - 6*y(a).
-5*a**2
Let m(r) be the first derivative of -r - 3. Let u be 15*-1*(-6)/(-15). Let x(n) = -n - 5. Calculate u*m(q) + x(q).
-q + 1
Let m(q) = -4*q**3 + 3*q**2 - 2. Let z(o) = 7*o**3 - 5*o**2 + 4. Give -5*m(v) - 3*z(v).
-v**3 - 2
Let z(a) = -13*a - 12*a - 8*a + 37*a + 7. Let t = 3 + -9. Let x(i) = -11*i - 20. What is t*x(q) - 17*z(q)?
-2*q + 1
Let j(x) be the second derivative of -x**3/6 + 7*x**2/2 - 6*x + 1. Let v(q) = q - 6. Suppose -5*l - 21 = 3*f - 1, 2*l + 8 = 5*f. Give l*j(u) - 5*v(u).
-u + 2
Let u(l) = -5*l**3 + 2*l**2 - 2*l + 2. Let p(q) = q**3 + q**2 - q + 1. What is 2*p(v) - u(v)?
7*v**3
Let f(g) = 11*g**3 + 5*g**2 - 10*g. Let i(s) = 5*s**3 + 3*s**2 - 5*s. Calculate -4*f(q) + 7*i(q).
-9*q**3 + q**2 + 5*q
Suppose 2 = 5*y + 5*w + 12, -3*y - w = 8. Let v(j) = j**3 - 4*j + 3. Let o(a) = -1. Determine y*o(p) - v(p).
-p**3 + 4*p
Let w(g) = -4*g - 15. Suppose -7 = -x - 2. Let i(q) = -1 + 0 + 3*q + x - 2*q. Calculate -22*i(z) - 6*w(z).
2*z + 2
Let y(d) = 7*d**2 + 6*d - 8. Let g(o) be the second derivative of 5*o**4/3 + 17*o**3/6 - 23*o**2/2 + 18*o. Suppose 6 = 2*q - 3*q. Give q*g(w) + 17*y(w).
-w**2 + 2
Let z(y) = y. Let m(r) = r**3 + r. Let b be 7/(-7) + (-11)/(-1). Let l = b - 11. Determine l*z(i) + m(i).
i**3
Let g(x) = 6*x - 9. Let f(u) = u - 1. Give 4*f(w) - g(w).
-2*w + 5
Let j(u) = -6*u - 1. Let t(b) = -17*b - 3. What is 11*j(l) - 4*t(l)?
2*l + 1
Let u(f) = 2*f - 3 - 2*f + f**2 + 7. Let s = -10 - -16. Let n be (4/s*3)/(-1). Let h(q) = -q + 1. Calculate n*h(c) + u(c).
c**2 + 2*c + 2
Suppose -21 - 4 = -5*y + 5*f, -10 = y + 4*f. Suppose -c - y*c = -6. Let v(l) = -3*l - 4. Let x(s) = 7*s + 9. Determine c*x(t) + 5*v(t).
-t - 2
Suppose -y - 3*v = 24, 2*y - v - v = -8. Let x(a) = -11*a**3 + 11*a**2 + 9*a - 13. Let o(n) = 5*n**3 - 5*n**2 - 4*n + 6. Give y*o(f) - 4*x(f).
-f**3 + f**2 - 2
Let t(p) = -4*p**3 - 3*p**2 + 4*p - 2. Let b(j) = -3*j**3 - 2*j**2 + 5*j - 1. Determine 5*b(z) - 4*t(z).
z**3 + 2*z**2 + 9*z + 3
Let w(g) = 4*g**2 + 3*g - 3. Let y(h) = -4*h**2 - 2*h + 3. Calculate 4*w(b) + 5*y(b).
-4*b**2 + 2*b + 3
Let f(o) = 5*o - 2. Let n(g) be the second derivative of -g**3 + 3*g**2/2 - 4*g. Give 5*f(q) + 4*n(q).
q + 2
Let w(h) = 41*h**2 - 28*h - 17. Let q(y) = -10*y**2 + 7*y + 4. Let c(f) = 9*q(f) + 2*w(f). Let s(o) = 7*o**2 - 6*o - 1. Calculate 5*c(u) + 6*s(u).
2*u**2 - u + 4
Let h(a) = -8*a**2 + 5*a + 44. Let g(p) = -2*p**2 + p + 11. Give -9*g(f) + 2*h(f).
2*f**2 + f - 11
Let y(a) = -a**2 + 10*a - 2. Let b be y(7). Let t = b + -21. Let k(f) = -2*f**3 + 5*f**2 - 5*f + 1. Let c(j) = -j**3 + 2*j**2 - 2*j. Determine t*k(d) + 5*c(d).
-d**3 - 2
Let t(s) = -1. Let b(i) = 9*i + 9. Calculate -2*b(g) - 18*t(g).
-18*g
Let f(m) = 7*m**2 + 2*m - 1. L
|
{
"pile_set_name": "DM Mathematics"
}
|
.5 (b) 4/5 (c) 2 (d) 2/17 (e) 13
d
What is the nearest to 0.049 in -21, -2, -30.9?
-2
Which is the nearest to -3/2? (a) 45 (b) -3 (c) 4/67
b
What is the nearest to 0.1 in 47, 2, -3, -98, -9?
2
What is the nearest to 391/154 in -1, -2/17, 4?
4
What is the closest to 0 in 0.1, 38, -0.6, -1.1, -2/11?
0.1
Which is the closest to 1? (a) -5 (b) 646.2 (c) -6
a
What is the closest to -0.1 in 0.5, -10, 0, 2/869?
0
Which is the nearest to -8/11? (a) 2/15 (b) -3/8 (c) -2 (d) -6
b
Which is the nearest to -0.1? (a) 0 (b) -8 (c) -3/53 (d) 494
c
Which is the nearest to -2? (a) -19 (b) 0.7 (c) 0.305 (d) -1/4
d
Which is the closest to 1? (a) -4/241 (b) 4 (c) -38
a
Which is the closest to 39? (a) 1/1389 (b) 2 (c) -4/9
b
Which is the closest to -147? (a) 0.5 (b) 2/3 (c) 0.3 (d) -0.2
d
What is the closest to -1 in -521, 0.2, -0.4, -2/13, 4?
-0.4
What is the nearest to -1/4 in 0.2, 1/117, -0.2, 2/155, 4?
-0.2
Which is the closest to 3? (a) 0.059 (b) 0.2 (c) -4 (d) 0 (e) 2/9
e
What is the closest to 1 in -49, -7, -69?
-7
What is the nearest to -11 in 1.1, -1.2, -5?
-5
What is the nearest to 3 in -0.2, 8/211, 2?
2
Which is the closest to -4/23? (a) 0 (b) 0.5 (c) -0.2 (d) 0.3 (e) 117
c
What is the nearest to -0.122 in -1, -6, -13/3?
-1
Which is the closest to -2/5? (a) -215/23 (b) 4 (c) 5 (d) -0.2 (e) -4
d
What is the closest to -2 in 1/4, -7.3, -45, 5?
1/4
What is the nearest to -27 in 2/3, 1, 0.04, 3?
0.04
What is the nearest to 1/9 in 0.5, -5/10377, -4/5?
-5/10377
Which is the nearest to -9? (a) -17362 (b) 0 (c) 2/5 (d) -1
d
Which is the nearest to 131.9? (a) -1/5 (b) 0.5 (c) -1 (d) -0.02
b
Which is the closest to -1? (a) -0.2 (b) 0.1 (c) 2/3 (d) 0.4
a
What is the closest to -0.2 in 7, 130, 5, -0.1?
-0.1
Which is the nearest to -8/5? (a) 0.077 (b) -88 (c) -0.5 (d) -2/5
c
Which is the closest to 0.041? (a) -3/7 (b) 1 (c) 75 (d) -0.08
d
What is the nearest to -2/29 in 0.3, 5, 0.5, -205.7?
0.3
Which is the closest to 0.2? (a) 1 (b) 36/7 (c) 0 (d) -0.042
c
Which is the nearest to -2/3? (a) -0.9 (b) 1/153 (c) 0.1 (d) 5 (e) 138
a
What is the nearest to -1 in 0.2, -0.063, -4, -6?
-0.063
What is the nearest to 6 in -9, -1/2, 5/4, -193, 4/9?
5/4
Which is the nearest to 0.1? (a) -3/8 (b) 0.2 (c) 2 (d) -4/27 (e) -1/3
b
Which is the closest to 0? (a) 1/6 (b) 1 (c) 3 (d) -1716
a
What is the nearest to 1 in 20, 409, -2/3?
-2/3
What is the nearest to -2/5 in 2/5, 1554, -71, -3/2?
2/5
Which is the nearest to -1? (a) -867 (b) -47 (c) -2 (d) 1
c
What is the closest to 1 in 0.06, -3, 1.78, 0, -0.5?
1.78
What is the closest to 688 in 2/15, 3/5, -0.1, -3/7?
3/5
What is the closest to 2 in 32, 2/35, 2/7, 0.08?
2/7
What is the nearest to 1824/35 in 2, 0.3, 3?
3
What is the closest to 1 in 14, -2/17, -3, -28?
-2/17
Which is the nearest to 148/5? (a) 0.2 (b) -0.3 (c) 0.29 (d) 2/7
c
Which is the closest to -31987? (a) -2/13 (b) 1 (c) -2/11
c
Which is the nearest to 0.1? (a) 43 (b) 2/5 (c) 13 (d) 0.2
d
What is the closest to -0.2 in -4, -9.08, 1/3, 0.3?
0.3
Which is the closest to 3/2? (a) 0.14 (b) 2/9 (c) 0.5
c
Which is the closest to 34? (a) 1 (b) 89 (c) 0.5
a
What is the nearest to -0.8 in 0.1, -3, -5/2, -5/6?
-5/6
Which is the nearest to 0.24? (a) 5/7 (b) -0.03 (c) 0
c
What is the closest to 2 in -17.847, -0.4, -4?
-0.4
Which is the nearest to -2/3? (a) 46 (b) 2/83 (c) 4 (d) -0.5
d
Which is the nearest to 1/3? (a) 2 (b) 1000 (c) -3 (d) -68
a
What is the nearest to 10 in 4, -0.5, -0.02?
4
What is the nearest to 19 in 0.2, -6, 161?
0.2
Which is the nearest to -2/29? (a) 3/2 (b) 0 (c) 10
b
What is the nearest to -1 in -14, 0.1, 65, 2/9?
0.1
Which is the closest to -36? (a) 35.08 (b) -0.3 (c) 5
b
Which is the nearest to -335/7? (a) 2/83 (b) 5 (c) -0.5
c
What is the closest to 869 in 11, 3, 5?
11
What is the closest to -12/7 in -10, -0.3, 6/5?
-0.3
Which is the closest to -2.8? (a) -2 (b) -1/12 (c) -62 (d) 2/5 (e) 1/5
a
What is the closest to 2/7 in -1/4, 0.19, 1/5, 16, -1/119?
1/5
What is the closest to -1.7 in -24146, 0.4, 0.2?
0.2
Which is the nearest to -3/7? (a) -353 (b) -2 (c) -2/15
c
Which is the nearest to -1/2? (a) 5 (b) -2/5 (c) 60 (d) 1/2 (e) 0.14
b
Which is the nearest to -40? (a) 5 (b) -3 (c) -7
c
What is the closest to 9/65 in 1/4, 2, 0.5?
1/4
Which is the closest to -0.28? (a) 3 (b) -6/5 (c) 9
b
What is the closest to -0.11 in 96.2, -0.3, 2/21, -1, -0.15?
-0.15
What is the closest to -2/9 in -1/4, 6, 5/3, -2.59?
-1/4
Which is the closest to 5.3? (a) 1/5 (b) -2 (c) 1/3 (d) 5
d
Which is the nearest to 13? (a) 3 (b) 1.56 (c) -0.03
a
What is the closest to 1/1338 in -2, 11, 3, 0.5?
0.5
Which is the closest to 1? (a) 2/5 (b) -0.5 (c) 2/9 (d) -4.7 (e) 2/15
a
What is the nearest to -2 in 0.04, 2/11, -177, 17, 0.4?
0.04
Which is the nearest to -2? (a) 0.1 (b) 157.58 (c) 0
c
What is the closest to -3 in -330, -0.03, 0.002?
-0.03
Which is the nearest to -1/2? (a) 4 (b) 0.3 (c) -0.1 (d) 0.17 (e) -22
c
Which is the nearest to -1? (a) 3 (b) -0.1 (c) -23 (d) 2
b
Which is the closest to 3? (a) -5 (b) -76 (c) -53
a
What is the nearest to -1 in 291/35, -1, 0.2?
-1
Which is the closest to 0.1? (a) -125 (b) -3 (c) 1/7 (d) -6 (e) -9
c
Which is the nearest to 533/2? (a) 0.2 (b) 2/9 (c) 1 (d) 0.3
c
What is the closest to -5/24 in -13, 3, -0.2?
-0.2
Which is the closest to 656? (a) 2 (b) -1/9 (c) -1/2 (d) -3
a
What is the nearest to 1/3 in 2, 0, -70, -2?
0
Which is the closest to -1/4? (a) -3 (b) 6 (c) -4 (d) -0.0873
d
Which is the closest to -1? (a) -361.6 (b) 0.13 (c) 5
b
Which is the closest to -35? (a) 5 (b) -8 (c) -4 (d) 1/3 (e) -1.4
b
What is the closest to -22 in 259, 26, 3, 1/7?
1/7
Which is the nearest to -1/3? (a) 4 (b) -3 (c) 1/9 (d) 63
c
What is the nearest to 2/11 in -0.06, -2, 0.2?
0.2
What is the closest to 1/3 in 5, 8, -141/8, -5, 0.16?
0.16
What is the closest to -3 in -2, -1/4, 1/461?
-2
What is the nearest to 2/3 in 0.2, -2, 149, 8/7, 2?
0.2
Which is the closest to -0.1? (a) -2 (b) 0 (c) 16 (d) -9
b
What is the nearest to 11 in -3/9389, 0.1, -5?
0.1
What is the closest to -0.39 in -1/6, -23, -13, 0?
-1/6
Which is the closest to 3/5? (a) 3 (b) 7378 (c) -7
a
What is the closest to 0.23 in 8, 0.81, 2/5?
2/5
What is the closest to -11509 in 0.2, 24, 1?
0.2
What is the closest to 2/9 in 2, -2, -3/2, 5?
-3/2
Which is the nearest to -1? (a) -2 (b) 0.624 (c) -6 (d) -3
a
What is the closest to 1 in 2/31, -2/19, 13, 11?
2/31
Which is the nearest to 1.2? (a) -0.2 (b) 2/83 (c) -2/5
b
Which is the nearest to -3? (a) -0.1 (b) 16.81 (c) -4/9 (d) 3 (e) 0.1
c
What is the nearest to -3.73 in 8, -4, -30?
-4
Which is the closest to 24.132? (a) 9 (b) 4 (c) -3
a
What is the nearest to -85 in 446, 0.3, -1/4?
-1/4
Which is the nearest to 0? (a) -6 (b) 189 (c) -40 (d) -1 (e) -4
d
Which is the nearest to -1? (a) 0.1 (b) -4 (c) -15500 (d) 9.7
a
What is the closest to 2 in 3/10, -1699, 5?
3/10
Which is the closest to 2? (a) 178 (b) -4 (c) 0.2
c
What is the closest to -0.1 in 0.3, 95/443, 6?
95/443
Which is the closest to -5/4? (a) 3/17 (b) 0 (c) -5 (d) -0.26
d
What is the closest to 1/3 in 1, 2, 33, -1, 2/97?
2/97
What is the nearest to -3 in -1/33, -3, 1, 0.4?
-3
What is the closest to -31 in -2/5, 135, 59?
-2/5
What is the nearest to -1 in -2/11, -1.91, -0.3, -1/4?
-0.3
What is the nearest to -15.3 in -2, 34, 1?
-2
Which is the closest to -1/2? (a) -1/15 (b) -0.2 (c) -1.33
b
Which is the nearest to 2/3? (a) -16 (b) 2/5373 (c) -1/7
b
What is the nearest to 5 in 0.4, 5, 11, -2/53?
5
Which is the closest to 2/11? (a) 0.2 (b) -3 (c) -1.136 (d) -32/5
a
What is the nearest to 2 in 0.02, -0.5, 14, -5, 0.1?
0.1
What is the closest to -2/11 in 2, -60.03, 1, -4?
1
What is the nearest to 1 in -0.12, -5, -1, 0.5?
0.5
Which is the closest to 1? (a) 4 (b) -0.5 (c) -2/31 (d) -5/4 (e) -3
c
What is the closest to 0 in -11, 0.045, 0.4?
0.045
What is the nearest to -3 in -1, 75, -2, -5/4, 1.9?
-2
Which is the nearest to -4? (a) 5 (b) 4 (c) 79443
b
Which is the nearest to -2/31? (a) 0.4 (b) 2/103 (c) 221
b
What is the nearest to 3/13 in -9, 2, 0.2, 9, -1.1?
0.2
What
|
{
"pile_set_name": "DM Mathematics"
}
|
)?
3
Let g = 11500 + -5922. What is the tens digit of g?
7
Let n(w) = 4368*w**2 - 25*w - 39. What is the thousands digit of n(-2)?
7
Let m be ((-235)/(-15))/(1 + 572/(-576)). Suppose 3*l + 4*p - 9*p - 1692 = 0, p + m = 4*l. What is the tens digit of l?
6
Suppose 5*f - 3*z = 179, 0 = -15*f + 18*f - 3*z - 105. What is the thousands digit of (f - 48)/(2/(-366))?
2
Let v = 1145 - -3923. What is the thousands digit of v?
5
Let x = 426 - 423. What is the tens digit of x/8*2430 - (-3)/(-12)?
1
Let u(d) = 5*d**2 + 337*d + 94. What is the hundreds digit of u(-84)?
0
Let h(g) be the second derivative of g**5/20 + 3*g**4/4 - 11*g**3/6 - 6*g**2 + 37*g. Let n be h(-10). What is the tens digit of 2 - 141/n - 3/(-2)?
7
Suppose -3758 = -x - 5*s + 3033, 0 = -4*x - 6*s + 27192. What is the tens digit of x?
0
Let y(d) = d**2 - 10*d + 19. Let p be y(7). Let r(s) = -s - 7. Let m be r(p). What is the tens digit of (36/m)/((-46)/575)?
9
Let x(t) = t**2 - 4*t + 7. Let p be x(2). Suppose -5*g + 424 = f - 676, -p*g + 5*f = -688. What is the units digit of g?
1
Suppose -12577 = -n + q + 735, 3*n + 5*q - 39960 = 0. What is the units digit of n?
5
What is the tens digit of ((-16)/(-20) - 1)/(12/(-4387080))?
1
Let x(o) = -o**3 + 4*o**2 + 19*o - 38. Let y(z) = z - 6. Let d be y(11). What is the units digit of x(d)?
2
Suppose -11*v - 138*v = 129*v - 6536614. What is the ten thousands digit of v?
2
Suppose -5*d - 5*p - 4324 = -9*p, 5*d + 4325 = 5*p. Let v = d + 1701. What is the tens digit of v?
3
Let b(z) = -z**3 + 76*z**2 - 48*z + 411. What is the units digit of b(75)?
6
Suppose -640553 = 9*c - 25*c + 339303. What is the units digit of c?
1
Suppose -15 = 14*b - 17*b. Let s(r) = 6*r**2 - 1 - r**2 + 4 - r**3 + 6*r. What is the units digit of s(b)?
3
Suppose 2*h + 46*h = -h + 1224020. What is the thousands digit of h?
4
Let b = -573 - -395. Let v = 502 - b. What is the tens digit of 7/((-63)/(-6)) - v/(-6)?
1
Suppose 2*m - m = 2*s + 10, -m = 2*s + 2. Suppose -m*b - 280 = -8*b. What is the units digit of b/20*(-6)/(-7)?
3
Let g = -5173 - -9366. What is the units digit of g?
3
Let s = 37 - 80. Let b = 153 + s. Let t = b - -46. What is the hundreds digit of t?
1
Suppose -21*r + 5477 + 14992 = -18*r. What is the hundreds digit of r?
8
Suppose 17*a - 12*a - 3*j = -260, -a - 2*j - 39 = 0. Let f(p) = p**3 + 51*p**2 + 97*p + 108. What is the units digit of f(a)?
7
What is the units digit of 3/(-6)*(-15 - 3) - -5321?
0
Suppose 5080581 = -342*v + 513*v. What is the tens digit of v?
1
Suppose 5*f = -194 + 19. Let c = 9702 - 9721. Let o = c - f. What is the tens digit of o?
1
Let j = -2916 + 3974. What is the tens digit of j?
5
Suppose 56*s + 564103 = -39*s + 2447193. What is the tens digit of s?
2
What is the units digit of (-10 - (-2600)/15)/(0 + (-1)/(-51))?
0
Suppose -3*f + 987 - 94 = -4*t, -4*f = -4*t - 892. Let c = -92 - t. Suppose -4*h = c - 444. What is the tens digit of h?
7
Let n = 12753 + -6821. What is the tens digit of n?
3
Suppose -4*z + 928 = -212. Let u(v) = -v**3 + 16*v**2 - 30*v + 34. Let j be u(14). Suppose 39 = j*f - z. What is the units digit of f?
4
What is the ten thousands digit of (-5*3/(-25))/(14/(-140))*-11974?
7
Suppose 31*w - 174 + 50 = 0. Suppose -w*h + 3292 = -c, -4*h + 4152 = 4*c + 880. What is the tens digit of h?
2
Let a(l) = -l**3 + 23*l**2 - 18*l + 34. What is the units digit of a(-18)?
2
Let a = -7543 + 13864. What is the tens digit of a?
2
Let h(j) = j**3 + 71*j**2 + 77*j + 138. What is the thousands digit of h(-41)?
7
Let o = -46159 + 89177. What is the units digit of o?
8
Let o be -2 + (-21)/(-3) + (-4)/2. Suppose 5*w + 15 = 0, w + 1750 = o*g + 7. What is the units digit of g?
0
Let r = 578 + -90. What is the units digit of (4 + -9 - -3) + r?
6
Suppose 2*x - 2*z + 5*z = 1, 0 = -3*x - 5*z + 1. Let s(o) = 136*o**2 + 6*o - 10. What is the tens digit of s(x)?
4
Suppose -4*r + 250 = 2*a - 742, 4*r - 2*a = 984. Suppose -1540 = -r*g + 243*g. What is the tens digit of g?
8
Suppose -2*i = -4*b + 4256, 61*b = 56*b - i + 5341. What is the tens digit of b?
6
Let u(c) = -c**3 + 5*c**2 + c. Let a be u(5). Suppose 47 = 6*s - a*s. Suppose 3*p = -v + 525, -5*v - s = -4*p + 634. What is the tens digit of p?
7
Let h(a) = -3099*a + 87. What is the units digit of h(-18)?
9
Suppose 5*f + 2*j - 131251 = 0, -21*f = -5*j - 363687 - 187460. What is the tens digit of f?
4
Let b be (-120 + 6)*3/(-6). Suppose 28*h - b*h = -4582. What is the tens digit of h?
5
What is the tens digit of 2381 + (-713)/138 + (-1)/(-6)?
7
Let t be (-3*1)/(3/(-2)). Let u = 977 - 972. What is the tens digit of (u/(15/906))/t?
5
Let y(n) = n**3 + 5*n**2 - 2*n - 17. Let b be y(-5). What is the units digit of -2 - (-464 + b) - -7?
6
Let c = 93 - 95. What is the hundreds digit of ((-19)/((-76)/270))/(c/(-12))?
4
Suppose -5*d + 3*v - 7 + 15 = 0, 2*d - 5*v = 7. What is the tens digit of 513 - (-5 + -2 + d)?
1
Let w = -78 - -69. Let r(b) = b**3 + 15*b**2 + 17*b + 1. What is the hundreds digit of r(w)?
3
Suppose 4139419 + 5041067 = 359*z + 773783. What is the tens digit of z?
1
Suppose 3*s + 34*j - 33*j - 8 = 0, -4*s = -5*j - 36. What is the hundreds digit of 3 + s/12*1146?
3
Suppose -505614 = -47*x + 359374. What is the ten thousands digit of x?
1
Let x(i) = i**3 - 7*i**2 + 8*i - 6. Let f be x(6). Let p be (f + -4)*(-13)/(-2). Suppose -8*o = -p*o + 930. What is the units digit of o?
6
What is the thousands digit of (1130/6)/(112/5040)?
8
Let q(n) = 550*n + 5958. What is the thousands digit of q(9)?
0
Suppose 204*b = 208*b - 8. Let n(k) = 89*k + 9. What is the units digit of n(b)?
7
Let z = -15 - -20. Suppose -3*v = z*g - 1349, 3*v = -5*g + g + 1081. What is the hundreds digit of g?
2
Suppose -2*b = -8, -7*l + 11802 = -2*l + 3*b. Let c = -1578 + l. What is the units digit of c?
0
Suppose o - 1675 - 5664 = 0. What is the tens digit of o?
3
Let s(d) = -2*d**2 + 49*d + 14. Let z(a) = a**2 - 24*a - 7. Let v(y) = 3*s(y) + 7*z(y). What is the hundreds digit of v(36)?
5
Suppose 2*f + 12*d - 15*d + 24 = 0, -2*f + 4*d = 26. Let o(n) = -n**3 - 2*n**2 + 12*n + 24. What is the units digit of o(f)?
3
Let f(u) be the second derivative of -11*u**4/12 - 8*u**3/3 - 13*u**2/2 - 4*u. Let d(l) be the first derivative of f(l). What is the units digit of d(-6)?
6
Suppose -4*z + 9 = -2*w - 5, 4*z + 7 = -5*w. Suppose -286 = -o - z*v, -4*o - 2*v - 2*v + 1136 = 0. What is the tens digit of o?
8
Let b be 4 - 12*1/4. Let r(u) = 266*u**3 - 2*u**2 + 1. What is the units digit of r(b)?
5
Let l(d) = 6*d**2 - 7*d - 70. Suppose -8 = 13*o + 96. What is the units digit of l(o)?
0
Let h(o) = o**3 + 96*o**2 - 22*o - 124. What is the thousands digit of h(-95)?
0
Suppose 4*v + 3*t = -0*v + 169, 4*t - 164 = -4*v. Suppose 0 = -3*x + 3*h + 123, 0 = 2*x - x + 2*h - 41. Let z = v - x. What is the units digit of z?
5
Suppose -s - 48 = 3*q + 2*s, -2*q = 3*s + 27. Let r(g) = -27*g - 15. What is the hundreds digit of r(q)?
5
Let w(k) = -9*k + 76. Let n be w(8). Suppose -10*t + n*t + 7536 = 0. What is the tens digit of t?
5
Suppose -354*y = -338*y - 198944. What is the hundreds digit of y?
4
Suppose 9*r = 22*r + 90*r - 1251244. What is the ten thousands digit of r?
1
Let h be (20/4 - 4)*10. Suppose h = -2*k + 152. What is the units digit of k?
1
Let u(q) = 34*q - 55. Let h be u(17). Let l = 938 - h. What is the tens digit of l?
1
Suppose 39105 - 5231346 - 3158487 = -228*o. What is the thousands digit of o?
6
Let t(y) = 14*y**2 + 51*y - 203. Let f(p) = -5*p**2 - 17*p + 68. Let d(q) = 11*f(q) + 4*t(q). What is the hundreds digit of d(-24)?
1
Let k(r) = -90*r**3 - 6*r**2 + 6*r - 6. Let p be k(4). Let i = -10090 - p. What is the tens digit of 3 + i/(-20) + 3/(-5)?
1
Let h be (-2328)/(-9) + 1 + 145/(-87). Let m = 665 - h. What is the hundreds digit of m?
4
Suppose 120 = -13*y + 5*y. Let s(d) = 0*d**3 + 4*d**3 - 15*d**2 - 7*d - 5*d**3. What is the hundreds digit of s(y)?
1
Let q = -32539 - -68162. What is the thousands digit of q?
5
Suppose 0 = -211*r - 72*r + 9864392 - 2103966. What is the units digit of r?
2
Suppose -376*q - 55725 = -200*q - 191*q. What is the units digit of q?
5
Let r be (2 + (-40)/15)/((-4)/42). Suppose -r*p + 472 = -3*p. What is the hundreds digit of p?
1
Suppose 3*k + 75 = 8*k. Suppose -2*i = -3*t + 3, 0 = -4*i - 2*t + k + 3. Suppose -2
|
{
"pile_set_name": "DM Mathematics"
}
|
zzzzz.
1/19
What is prob of sequence egge when four letters picked without replacement from {e: 2, g: 4}?
1/15
Three letters picked without replacement from {l: 2, h: 4, c: 4, z: 2, g: 2, v: 1}. What is prob of sequence lhv?
4/1365
What is prob of sequence pw when two letters picked without replacement from gigiwpiwigpi?
1/33
Two letters picked without replacement from {n: 8, q: 5}. Give prob of sequence nq.
10/39
Four letters picked without replacement from {a: 6, s: 4, i: 5, k: 1}. What is prob of sequence skii?
1/546
Three letters picked without replacement from irrnnllleenie. Give prob of sequence nni.
1/143
Four letters picked without replacement from {c: 1, b: 4, i: 6, q: 2, h: 1, v: 1}. What is prob of sequence qbqb?
1/1365
Two letters picked without replacement from wuwuuquuukk. Give prob of sequence kq.
1/55
Calculate prob of sequence rcrq when four letters picked without replacement from {r: 5, c: 7, b: 3, q: 2, d: 1, f: 2}.
7/2907
What is prob of sequence nuu when three letters picked without replacement from rrlnlulrmmmmlrmnlnu?
1/969
Calculate prob of sequence ujuj when four letters picked without replacement from jjuuju.
1/10
Four letters picked without replacement from {u: 5, o: 2, f: 2, m: 2, n: 3, h: 2}. What is prob of sequence uuuu?
1/364
Three letters picked without replacement from lddooddroira. What is prob of sequence dio?
1/110
Calculate prob of sequence fmm when three letters picked without replacement from mffffffffmfmfm.
5/91
Calculate prob of sequence ul when two letters picked without replacement from lldhhhluhlhullhoh.
3/68
Three letters picked without replacement from rrrgrrrgrr. Give prob of sequence rgg.
1/45
Three letters picked without replacement from vpvvvvvvvppvvvvvpvv. What is prob of sequence ppv?
10/323
Three letters picked without replacement from {j: 2, v: 3, w: 1, x: 1, h: 4}. What is prob of sequence vwj?
1/165
Three letters picked without replacement from {z: 8, e: 2}. Give prob of sequence zze.
7/45
What is prob of sequence bbb when three letters picked without replacement from {z: 4, m: 3, b: 9}?
3/20
Two letters picked without replacement from vuvvuguuuuhttgugugv. What is prob of sequence tt?
1/171
Two letters picked without replacement from {e: 4, p: 4, w: 2, q: 7, t: 1}. What is prob of sequence qw?
7/153
Calculate prob of sequence ndd when three letters picked without replacement from {r: 1, n: 1, q: 5, d: 4}.
2/165
Four letters picked without replacement from orggg. What is prob of sequence rgog?
1/20
Four letters picked without replacement from {i: 1, d: 4, e: 4, l: 2, t: 6}. What is prob of sequence lite?
1/1190
Calculate prob of sequence hhhp when four letters picked without replacement from hpphhhp.
3/35
Calculate prob of sequence nv when two letters picked without replacement from nnvnvnnnnvnvnnvnnvn.
13/57
What is prob of sequence fff when three letters picked without replacement from {f: 4, y: 2, a: 1, r: 1}?
1/14
Four letters picked without replacement from ccxdcdnnncxcd. Give prob of sequence dndn.
3/1430
Calculate prob of sequence sdy when three letters picked without replacement from {y: 1, d: 2, s: 1}.
1/12
Calculate prob of sequence ov when two letters picked without replacement from zovouuvvvvouzzzvzvo.
14/171
Calculate prob of sequence asas when four letters picked without replacement from assssassss.
1/45
Calculate prob of sequence oxxo when four letters picked without replacement from xxxooxooxooxx.
21/286
What is prob of sequence yyt when three letters picked without replacement from yytyyyyytyyytyytyyy?
140/969
Three letters picked without replacement from mqmiamikaqaqqiikiqa. Give prob of sequence iqa.
50/2907
What is prob of sequence rrx when three letters picked without replacement from {x: 1, r: 2}?
1/3
Three letters picked without replacement from umffumffhuhfhuf. Give prob of sequence uhh.
4/455
What is prob of sequence ftw when three letters picked without replacement from fwrlwwnnnfwlnnlftl?
1/408
What is prob of sequence lsl when three letters picked without replacement from {s: 5, k: 1, v: 1, l: 4}?
2/33
What is prob of sequence bq when two letters picked without replacement from {o: 12, b: 5, q: 2}?
5/171
Four letters picked without replacement from {z: 1, f: 5, h: 4, q: 5}. What is prob of sequence zfqf?
5/1638
Four letters picked without replacement from {t: 6, v: 3, y: 4, r: 4}. Give prob of sequence ttrr.
3/476
Calculate prob of sequence ux when two letters picked without replacement from kxkuxkxukuuxxkx.
4/35
What is prob of sequence lvu when three letters picked without replacement from {j: 1, b: 1, l: 9, u: 1, m: 5, v: 1}?
1/544
Four letters picked without replacement from {n: 2, f: 1, i: 3, a: 1, w: 3, d: 3}. Give prob of sequence dawi.
9/5720
Three letters picked without replacement from {c: 8, a: 2}. What is prob of sequence ccc?
7/15
Calculate prob of sequence xc when two letters picked without replacement from xjxcvttv.
1/28
What is prob of sequence li when two letters picked without replacement from {f: 7, y: 2, l: 1, i: 2}?
1/66
Four letters picked without replacement from piwdpw. What is prob of sequence dwpw?
1/90
Calculate prob of sequence ryy when three letters picked without replacement from rryrrryrrrrrrryrrr.
5/272
Two letters picked without replacement from twwwhswfwwsshwhwtww. What is prob of sequence tw?
10/171
Calculate prob of sequence hrhh when four letters picked without replacement from hrrhhhhhhhhrhhh.
11/91
Calculate prob of sequence ph when two letters picked without replacement from {h: 1, p: 17}.
1/18
What is prob of sequence skkk when four letters picked without replacement from skoskkskssslsokkkl?
49/2448
Two letters picked without replacement from {q: 10}. Give prob of sequence qq.
1
Two letters picked without replacement from tqqwwfwwftwf. What is prob of sequence wq?
5/66
Calculate prob of sequence piii when four letters picked without replacement from ippip.
0
Two letters picked without replacement from xxhfxsxsllfl. What is prob of sequence ll?
1/22
What is prob of sequence tkas when four letters picked without replacement from {t: 2, s: 12, k: 2, a: 2}?
1/765
Calculate prob of sequence lll when three letters picked without replacement from {n: 4, l: 2}.
0
Three letters picked without replacement from lhhahihhlihlaih. Give prob of sequence lll.
1/455
What is prob of sequence fj when two letters picked without replacement from rfcjffa?
1/14
What is prob of sequence ff when two letters picked without replacement from {c: 4, f: 10, p: 6}?
9/38
What is prob of sequence xpl when three letters picked without replacement from cpxlxqz?
1/105
Calculate prob of sequence vnvv when four letters picked without replacement from nnnvnnnnnvnvnn.
1/364
Three letters picked without replacement from {f: 5, g: 9}. Give prob of sequence fff.
5/182
Four letters picked without replacement from {q: 1, g: 2, e: 1}. Give prob of sequence qgge.
1/12
Four letters picked without replacement from lbbllbllllblb. What is prob of sequence blbl?
28/429
Four letters picked without replacement from gfmhhhfhtftttg. Give prob of sequence ffmg.
1/2002
Two letters picked without replacement from {z: 2, c: 1, q: 2, v: 1, r: 1}. Give prob of sequence qz.
2/21
What is prob of sequence hll when three letters picked without replacement from {l: 5, h: 13}?
65/1224
Four letters picked without replacement from wdmdwdwdwwmd. Give prob of sequence dwmm.
5/1188
What is prob of sequence jv when two letters picked without replacement from vvgjyzm?
1/21
Two letters picked without replacement from gfqfqqiqfggifvggfhgi. Give prob of sequence vq.
1/95
What is prob of sequence ws when two letters picked without replacement from wttssu?
1/15
Calculate prob of sequence sl when two letters picked without replacement from lsygses.
1/14
Three letters picked without replacement from vqvqpvpp. Give prob of sequence pqq.
1/56
What is prob of sequence cwf when three letters picked without replacement from {w: 1, f: 4, c: 2, s: 2}?
1/63
Calculate prob of sequence ab when two letters picked without replacement from {c: 6, a: 11, b: 1}.
11/306
Three letters picked without replacement from {v: 5, f: 2, a: 1, e: 3, j: 7, t: 2}. What is prob of sequence tve?
1/228
Calculate prob of sequen
|
{
"pile_set_name": "DM Mathematics"
}
|
815 wrt u?
-31766708
Differentiate -3*g*x**2 + 11422358*g - 2908469*x**2 wrt x.
-6*g*x - 5816938*x
What is the second derivative of -4*i**2*n*s**2 + i**2*n*s + i**2*n - 617802*i*n*s**2 + 4*i*n - i*s + 13453178*n + 15*s**2 wrt s?
-8*i**2*n - 1235604*i*n + 30
What is the first derivative of 644426205*t - 888005700?
644426205
Find the third derivative of -42018539*b*c**3 - 14*b*c**2 + 9*b*c + b + 25*c**2 - 3*c wrt c.
-252111234*b
What is the third derivative of 59048548*m**3 - 5*m**2 - 16*m + 156519 wrt m?
354291288
Differentiate -4373856*x - 7168841 wrt x.
-4373856
What is the derivative of 2*a**2*o - 892611*a*o*u**2*v + a*v + 36*o*u**2 - 2499*o*u*v - 5*u**2 + 2*u*v wrt a?
4*a*o - 892611*o*u**2*v + v
Find the second derivative of 1518462*p**3*x + 43*p**3 + 2*p*x + 3*p - 916907*x - 1 wrt p.
9110772*p*x + 258*p
Find the third derivative of 88005598*n**2*t**3 + 4*n**2*t**2 + 14*n**2*t - 30*n**2 - 2*n*t**2 - 1853*n wrt t.
528033588*n**2
Find the second derivative of 1434*p**2*y**3 + 12117*p**2*y**2 - p**2*y - 46493184*p*y + 2*y**3 wrt p.
2868*y**3 + 24234*y**2 - 2*y
Find the first derivative of -7018833*z**4 + 9574571.
-28075332*z**3
Find the third derivative of 114618455*y**3 + 14258965*y**2 wrt y.
687710730
What is the derivative of 2150238*l**2 - 5669585 wrt l?
4300476*l
What is the second derivative of -42449122*f**5*k + 4*f**3*k**3 + f*k**3 - 30736005*f*k**2 wrt f?
-848982440*f**3*k + 24*f*k**3
What is the second derivative of 143768910*o**2*z**2 + 42*o*z**2 + o*z + 168*z**2 + 9*z - 1 wrt o?
287537820*z**2
Find the second derivative of -3738*x*y**2 - 42638402*x - 10657*y**5 + 13*y - 2 wrt y.
-7476*x - 213140*y**3
What is the third derivative of -o**2*t**3 - 2*o**2*t**2 - 39*o**2*t + 12019909*o*t**3 + 126*o*t**2 + 8*t wrt t?
-6*o**2 + 72119454*o
Find the first derivative of 1669*l**4 - 2*l**3 + 18*l**2 + 45*l + 385805411.
6676*l**3 - 6*l**2 + 36*l + 45
Find the third derivative of 3981*g*n**3*t*v - 2*g*n**3*t - 21*g*n**2*t*v + g*n*v + 2*g*v - 1684*n**3*v + 664*n**2*t + n*t - 4*t wrt n.
23886*g*t*v - 12*g*t - 10104*v
What is the third derivative of -2325*f**3*r**3 - 13876*f**3*r**2 - 7*f**3*r - 15*f**2*r**3 - 53*f*r**2 - 255*r**3 wrt r?
-13950*f**3 - 90*f**2 - 1530
Find the second derivative of -3*a*b*g + 3*a*b*l**2 - 4*a*b*l - 16765738*a*g*l**2 + 79*b*g*l + 8606*g wrt l.
6*a*b - 33531476*a*g
Find the first derivative of -37978059*h**4 - 273322227 wrt h.
-151912236*h**3
What is the second derivative of 32*q**4 - 23*q**3 - 4504*q**2 - 2427*q + 5678?
384*q**2 - 138*q - 9008
What is the third derivative of 796872*y*z**4 - 3*y*z**3 + 12*y*z**2 + 2*z**2 - 36059*z wrt z?
19124928*y*z - 18*y
What is the first derivative of -140*g**2*n + 8043341*g**2 + 304*g*n - n wrt n?
-140*g**2 + 304*g - 1
Find the first derivative of 867*n**3 - n**2 + 1077*n + 435379675 wrt n.
2601*n**2 - 2*n + 1077
What is the second derivative of -108*h**4 + 1893*h**2 + 4187356*h?
-1296*h**2 + 3786
Find the third derivative of 60158*r**3*u**3 + 1508*r**3*u**2 + r**3*u - r**2*u**2 + 9*r**2*u + 7*r**2 + 208*r + 13*u**3 - 16*u wrt r.
360948*u**3 + 9048*u**2 + 6*u
Find the third derivative of 23949123*r**3*y**3 - 24872422*r**3 + 2*r**2*y**2 wrt y.
143694738*r**3
Differentiate -37742*z**4 - 6*z**2 + 9*z - 38425495 with respect to z.
-150968*z**3 - 12*z + 9
Find the second derivative of 33*o**3*y - o**2*y + 36460*o**2 + 9943571*o*y - o wrt o.
198*o*y - 2*y + 72920
What is the second derivative of -48*f**4 - 14*f**3 - 1230*f**2 - 583*f + 6348 wrt f?
-576*f**2 - 84*f - 2460
What is the second derivative of -49*g**5 - 57*g**4 + 44*g**2 - 15937813*g?
-980*g**3 - 684*g**2 + 88
Find the second derivative of 5491813*d**5 + 32029936*d.
109836260*d**3
What is the third derivative of 502*q*v**3*w + 2*q*v**3 - 5*q*v**2*w - q*v**2 + 210*q*v - 16*v**3*w - 39*v**3 - 13*v**2*w - 12*v**2 wrt v?
3012*q*w + 12*q - 96*w - 234
What is the second derivative of -8*d**2*h**2*z**2 + 529167*d**2*h**2*z - 5*d**2*h*z + 2*d**2*h - 2*d**2*z - 7*d*h*z - 3*d*z**2 + 39*h*z**2 wrt h?
-16*d**2*z**2 + 1058334*d**2*z
Find the second derivative of 55*f**3*r - 4*f**3 - 2925*f**2*r - 2*f*r - 6*f - 7*r - 2264 wrt f.
330*f*r - 24*f - 5850*r
Find the third derivative of -11453396*m**5 + 6*m**4 + 102035*m**2 - 6 wrt m.
-687203760*m**2 + 144*m
Find the third derivative of -5401257*t**6 + t**5 + 4564538*t**2.
-648150840*t**3 + 60*t**2
What is the second derivative of -t**3 - 5183467*t**2 + 14*t + 269455 wrt t?
-6*t - 10366934
What is the second derivative of -1761600*l**5 - 3*l + 1415810 wrt l?
-35232000*l**3
Find the third derivative of 39093*h**5 - 27*h**3 + 3916*h**2 - 2*h - 36 wrt h.
2345580*h**2 - 162
Find the second derivative of 24*l**2*u**2 - l**2*u + 360*l**2 + 14590*l*u**2 - 3*l*u + l - 41*u**2 - 13*u - 12 wrt u.
48*l**2 + 29180*l - 82
Find the second derivative of 28124549*p**2*z - 7503*p*z - 11*p - 13*z wrt p.
56249098*z
What is the third derivative of -29931893*u**3 + 26132*u**2 + u + 17?
-179591358
Find the first derivative of -91372507*a**2*b + 571690135*a**2 + 3*a*b wrt b.
-91372507*a**2 + 3*a
What is the third derivative of 2*x**4 + 2*x**3*z**3 + 3238*x**3*z - 40*x**3 - 4*x**2*z**2 - 5*x*z**3 + 75*x*z + z**3 + 18*z**2 wrt x?
48*x + 12*z**3 + 19428*z - 240
Differentiate -3*h*n**3*z - 1899342*h*n**3 + 8189*h*z - h + 15*z with respect to n.
-9*h*n**2*z - 5698026*h*n**2
Find the third derivative of 5*u**6*w + 309186*u**4*w**3 - 4*u**2 - 1672211*w**3 wrt u.
600*u**3*w + 7420464*u*w**3
Differentiate 131*c*i**3 + 3*c*i**2 + 89482*c*i + 229*i**3 + 43*i**2 + i + 235 wrt c.
131*i**3 + 3*i**2 + 89482*i
What is the third derivative of -16*i**2*t**3 + 26756180*i**2*t**2 - 5*i*t**3 + 19518*t**3 wrt t?
-96*i**2 - 30*i + 117108
What is the second derivative of -69861278*l**4 + 183684224*l wrt l?
-838335336*l**2
What is the second derivative of 38241730*g**2 + 437*g + 4775?
76483460
What is the second derivative of -23338339*i**4 - 49472410*i wrt i?
-280060068*i**2
What is the second derivative of 342850670*q**5 + 40343295*q?
6857013400*q**3
Find the third derivative of 2630918*j**5 + j**3 - 3*j**2 + 303*j + 2320 wrt j.
157855080*j**2 + 6
Find the first derivative of 41996*a*t + 143566343*a - 9560*t**2 wrt t.
41996*a - 19120*t
What is the second derivative of 317209377*i**3 + 19150567*i - 4?
1903256262*i
Differentiate 15*r**4 - 101938*r**3 + r**2 - 127450859.
60*r**3 - 305814*r**2 + 2*r
What is the third derivative of -64720337*l**3*x**3 - l**3 - 61*l**2 + 476752*l*x**3 wrt l?
-388322022*x**3 - 6
What is the second derivative of -701930643*a**5 - 15985085*a + 8?
-14038612860*a**3
What is the third derivative of -14272678*d**3*q**3 + 2*d**3*q - 34*d**3 - 2*d**2*q**2 - 2457*d + 2*q**2 wrt q?
-85636068*d**3
Differentiate 3313942*v**2 + v + 3498835.
6627884*v + 1
Find the third derivative of -377*f**5 + f**4 + 11855*f**3 - 25780185*f**2 wrt f.
-22620*f**2 + 24*f + 71130
What is the derivative of 41590609*x - 39868030 wrt x?
41590609
Find the third derivative of -2755085*s**4 - 2847650*s**2 - 2.
-66122040*s
What is the third derivative of 398*f*m**3*s**2 + 990*f*m**3 - f*s - 8713*m**2*s**2 - 227*m*s**2 wrt m?
2388*f*s**2 + 5940*f
What is the first derivative of 645841456*a**4 - 638876551?
2583365824*a**3
What is the third derivative of -3*q**4 - 648971*q**3 + 3266604*q**2 wrt q?
-72*q - 3893826
What is the derivative of 137*k*m**3 - 2*k*m**2 + 9*k*m + 453*k + m**3 - 22*m**2 - 2*m + 2421 wrt k?
137*m**3 - 2*m**2 + 9*m + 453
What is the third derivative of 22*a*m**3 - 2*a*m**2 + 2*a*m + 4*a + 8031035*m**3 - 108701*m**2 - 42 wrt m?
132*a + 48186210
Differentiate 86825724*p*w**3 + 1014344*p - 53 with respect to w.
260477172*p*w**2
What is the derivative of -3861675*u**3 + 13*u**2 - 2*u + 43128778?
-11585025*u**2 + 26*u - 2
What is the first derivative of -674*a**3*h + 2*a**3*q**3 - 391*a**3*q**2 + 895*a**3 + 5279*a**2*h*q**3 - 2*a*q**3 - 3*a*q**2 + 3*h - 2*q**3 wrt h?
-674*a**3 + 5279*a**2*q**3 + 3
What is the third derivative of 12*u**6 - 378055*u**5 + 4445090*u**2 wrt u?
1440*u**3 - 22683300*u**2
What is the third derivative of 241821*k**3 + 4*k**2 + 354053 wrt k?
1450926
What is the derivative of 41626930*k + 2714179?
41626930
Find the second derivative of 5381*u**3 - 54*u**2*y - 14*u*y + 4*u + 2*y - 7799 wrt u.
32286*u - 108*y
Find
|
{
"pile_set_name": "DM Mathematics"
}
|
-11
a
What is the closest to -0.2 in 4, 0.075, -2?
0.075
Which is the nearest to 1? (a) 1/4 (b) 2/13 (c) -0.1 (d) 4/5
d
What is the nearest to 0.3 in -5, 2/3, 32, 2?
2/3
Which is the closest to 0.31? (a) 5 (b) 0 (c) 30
b
Which is the closest to 0? (a) -2/3247 (b) -5 (c) 2 (d) -3
a
Which is the nearest to 1/2? (a) -2/9 (b) 3 (c) -0.6 (d) -3/8
a
What is the nearest to 2/13 in -4, 1, 0.2, -0.15?
0.2
Which is the closest to -0.1? (a) 3 (b) -2 (c) 2
b
Which is the nearest to -1/2? (a) 1/6 (b) 1/4 (c) -65 (d) -4/7
d
What is the closest to -0.1 in -1/11, 2.5, -5?
-1/11
Which is the closest to 0.03? (a) -3 (b) -0.3 (c) -1/2 (d) -0.2
d
Which is the closest to -8? (a) 3 (b) -4 (c) 0.1
b
Which is the closest to -2? (a) -5 (b) -1/3 (c) 8
b
What is the nearest to -1/3 in -4, 4/5, 0, 591?
0
Which is the nearest to 0? (a) -2/169 (b) -3/4 (c) 5
a
Which is the closest to 0.2? (a) -6 (b) 1 (c) 7
b
Which is the nearest to -2? (a) 3/5 (b) 3.7 (c) 0.1
c
Which is the closest to 0.3? (a) 0.1 (b) 0.3 (c) 4/3 (d) -2
b
What is the nearest to 0 in 6, -0.34, -11, 0.1?
0.1
What is the closest to -2/3 in 4, 2/13, -2, -1/9?
-1/9
Which is the nearest to 2? (a) 1/2 (b) 1/7 (c) 1 (d) 0
c
What is the nearest to 2/3 in 2, 277, -7?
2
Which is the closest to 2/5? (a) 2/5 (b) -0.3 (c) 22
a
Which is the closest to -2/3? (a) 0 (b) -3 (c) 1802
a
What is the closest to 90/7 in 0.4, -5, 3?
3
Which is the nearest to -0.1? (a) -1/38 (b) -0.4 (c) 1
a
Which is the closest to 2/5? (a) 2/17 (b) 2/9 (c) 139 (d) -1/8
b
Which is the nearest to 1/2? (a) -2 (b) 2/3 (c) 0.06 (d) 21
b
What is the nearest to 2/3 in 6, 3, -0.2?
-0.2
What is the nearest to 0 in -8, 1/5, 5, -3?
1/5
Which is the nearest to 0.29? (a) -1/2 (b) 5 (c) -1.6 (d) -5
a
What is the closest to 17 in 2/5, 0.04, -2/11?
2/5
Which is the nearest to 4/5? (a) 11 (b) 0.1 (c) 0.4
c
What is the nearest to -2 in -121, 3, 5?
3
Which is the nearest to 151? (a) -1/8 (b) 0.3 (c) 2/13
b
Which is the nearest to 23? (a) -1 (b) -2/5 (c) -3
b
Which is the nearest to 1/6? (a) 2 (b) -4 (c) -0.4 (d) 57/7
c
Which is the closest to 0.1? (a) -5.2 (b) -2/3 (c) -0.2
c
Which is the closest to 12? (a) -8 (b) 1 (c) -1
b
Which is the nearest to -2? (a) 4 (b) 128 (c) 0.1
c
What is the nearest to -1 in 3/4, 2/3, 5, -200?
2/3
What is the closest to -1/4 in -1/21, 0, -4?
-1/21
What is the closest to 16 in -2, 4/7, 1.2, -3?
1.2
What is the nearest to -1 in -0.3, -3, -3/4, 5?
-3/4
Which is the closest to 0? (a) 3 (b) -0.3 (c) -5 (d) -4
b
What is the nearest to 1 in -3, -4, -0.3, -0.1?
-0.1
Which is the closest to 1/7? (a) -4/9 (b) -1.8 (c) 0.5
c
Which is the closest to 48? (a) 1 (b) -4 (c) 1/2
a
Which is the closest to -41/7? (a) -4/5 (b) -1/5 (c) 3
a
Which is the closest to 42? (a) -1 (b) 2 (c) 3
c
What is the closest to 0 in -2/13, 0.2, -0.5, 0.07?
0.07
Which is the closest to -5/4? (a) 3 (b) 2 (c) 0.4
c
Which is the closest to -1? (a) -1 (b) 15 (c) -3/2 (d) 0.07
a
What is the nearest to 1/3 in -2/13, 7, 4, -3/2?
-2/13
What is the nearest to -7 in 137, -0.4, -0.5?
-0.5
What is the closest to -2/9 in -10/29, -1/2, -4/7?
-10/29
Which is the closest to -2? (a) -25 (b) -0.4 (c) -11
b
What is the nearest to 0.16 in -8/7, 0, -0.1?
0
What is the closest to 20 in 2, -3/4, -0.1?
2
Which is the closest to 1/4? (a) 0.1 (b) 2/37 (c) 2 (d) -12/17
a
What is the nearest to -1/2 in 1, -18, 2/13, 1/3?
2/13
What is the closest to 4/3 in 4, 1/2, -0.5?
1/2
Which is the nearest to 1/14? (a) 5 (b) 0.4 (c) -1.8
b
Which is the nearest to 0.1? (a) -3 (b) -1 (c) 1.5 (d) -2/25
d
What is the nearest to -1/3 in 0.07, -0.6, 2, 0?
-0.6
Which is the closest to -0.8? (a) -5 (b) 29 (c) 3
c
Which is the closest to -261? (a) 0.4 (b) 2/7 (c) 3/4
b
Which is the closest to -1/2? (a) -2/7 (b) 12 (c) -5 (d) -2/3
d
What is the nearest to 0 in -1/3, -2/21, 3/4, 0.4?
-2/21
What is the closest to 0 in -0.3, 0, -1.59, 4?
0
Which is the closest to -0.3? (a) 0.5 (b) 2 (c) -3 (d) 1
a
What is the closest to -2/5 in -7, 2, 1/7, 0?
0
What is the closest to 2.2 in 2/5, 34, -1, 1/3?
2/5
What is the closest to -2/5 in -2/13, -4, 1/6, -6?
-2/13
Which is the nearest to 68? (a) 6 (b) -0.4 (c) -0.8
a
What is the nearest to -1/4 in 5, -4/15, -3/2, 3?
-4/15
Which is the nearest to 1? (a) 1/4 (b) -0.4 (c) -125
a
Which is the nearest to 1.2? (a) 0.11 (b) -0.3 (c) -5
a
What is the nearest to 0.2 in 4/9, -1.8, 5?
4/9
What is the closest to 1/2 in -20, -2/25, 2?
-2/25
Which is the closest to -2/9? (a) -1/3 (b) -2/5 (c) -2 (d) 5
a
Which is the nearest to 1? (a) -0.5 (b) -4 (c) 2/21 (d) 0
c
Which is the closest to 0.1? (a) 409/6 (b) -2/7 (c) 4
b
What is the nearest to 1 in -171, -3, 0.5?
0.5
What is the nearest to -0.65 in -0.4, 5, 4/3, 1/3?
-0.4
Which is the nearest to 24? (a) 2 (b) -1/4 (c) -0.1 (d) -1/3
a
Which is the closest to -7? (a) 4 (b) -7 (c) 0 (d) 3
b
What is the nearest to -0.1 in 0.07, 2/11, 1/4, 0.028?
0.028
Which is the nearest to -0.1? (a) 2/13 (b) -0.3 (c) 15/56 (d) 1/7
b
What is the closest to -1/6 in 1, 316, -5, -3?
1
Which is the closest to -1? (a) 0 (b) -2/13 (c) 2.6
b
What is the closest to -3/5 in -31/7, 3/4, 0?
0
Which is the closest to 1? (a) 20 (b) 1/4 (c) 3 (d) 4
b
Which is the nearest to -0.3? (a) -4 (b) 4 (c) -2 (d) 19
c
What is the nearest to -1/8 in 0, -0.159, -3, -4?
-0.159
What is the closest to 0 in -0.1, 2, 3, -4/3?
-0.1
Which is the closest to 1? (a) 0.1 (b) 283 (c) -3 (d) -5
a
Which is the nearest to -0.3? (a) 1/2 (b) 0.7 (c) -0.08 (d) -5
c
What is the nearest to 6 in -0.3, 4/15, -1, 5?
5
Which is the nearest to 0.3? (a) 6/11 (b) -2 (c) -5/4 (d) 144
a
What is the closest to -2 in 0.2, -2/3, -3/4, 20?
-3/4
Which is the nearest to 1? (a) 2 (b) -4/31 (c) 2/3
c
Which is the closest to 2/9? (a) 1/2 (b) 0.3 (c) 0.4 (d) 1
b
What is the closest to -4 in 17, -2/15, 4, -2/11?
-2/11
Which is the closest to 1? (a) -5/3 (b) -23 (c) 0.4 (d) -1
c
Which is the nearest to 5? (a) -3 (b) 2 (c) -0.03
b
Which is the closest to 0.1? (a) 1/9 (b) -2 (c) 0.01 (d) 0.2
a
Which is the closest to -2? (a) -3 (b) 1/3 (c) -0.13 (d) -2/21
a
Which is the nearest to -0.12? (a) 0.8 (b) 3 (c) 2
a
What is the nearest to -2/3 in 5, -0.1, -5, 0?
-0.1
Which is the closest to -1/2? (a) 0.3 (b) -45 (c) -0.1 (d) 0.2
c
What is the closest to 3/2 in -0.01, -0.2, -1/4?
-0.01
Which is the nearest to 0? (a) 4 (b) 620 (c) -3
c
Which is the nearest to -7? (a) 2/17 (b) 1/5 (c) -1 (d) -0.5
c
Which is the closest to -1/6? (a) -1.1 (b) -4 (c) 1/3
c
What is the closest to -0.11 in 2/21, 5, 2/9?
2/21
Which is the nearest to 0? (a) -2 (b) -0.2 (c) -4 (d) 0.06
d
Which is the nearest to 2? (a) 2/13 (b) -6/7 (c) 2/3 (d) -4
c
Which is the closest to 1? (a) 1/2 (b) 0.035 (c) -0.7
a
Which is the nearest to 1/3? (a) 0.1 (b) -10/11 (c) 0.4 (d) -4
c
What is the nearest to -0.2 in 6, 1, -5, -2?
1
What is the closest to -0.3 in -1, 5, -4?
-1
Which is the nearest to 2/3? (a) -2/241 (b) -0.5 (c) 0.15 (d) 0.3
d
Which is the nearest to 13? (a) 7.6 (b) 1 (c) 2/5
a
Which is the closest to 2/5? (a) -1/6 (b) 1 (c) 0 (d) -3
c
Which is the nearest to -0.061? (a) 0.1 (b) 0.05 (c) 3
b
Which is the nearest to 1? (a) -0.2 (b) -12 (c) 0.5 (d) -1/6
c
Which is the nearest to 18? (a) 3 (b) -3 (c) 1 (d) -1/2
a
What is the closest to 1/2 in -5, 0, 3/5, 19?
3/5
Which is the closest to 1? (a) 0.3 (b) -3 (c) 8/7 (d) -6.01
c
What is the closest to 57 in -13/5, -4, -0.5?
-0.5
What is the closest to 2/3 in 17, -10, 3?
3
Which is the nearest to 2? (a) -0.05 (b) 1 (c) 4 (d) -3
b
What is the nearest to -106 in -4, 4, 3, 0.2?
-4
What is the closest to 0 in -2/11, -2/9, -139?
-2/11
Which is the nearest to -1? (a) -0.1 (b) 2/22379 (c) 3/5
a
Which is the nearest to -24/91? (a) -0.4 (b) -0.3 (c) 1 (d) -3
b
Which is the closest to 0? (a) 23 (b) -0.4 (c) -4 (d) 3
b
Which is the nearest to -2.2? (a) 1/7 (b) 5 (c) -0.6 (d) 10
c
Which is the closest to 0? (a) 4 (b) -3 (c) -0.9 (d) -1
c
Which is the closest to -4? (a) -2/85 (b) -5 (c) -1 (d) 1/2
b
Which is the nearest to 1/7? (a) -1/8 (b) -4 (c
|
{
"pile_set_name": "DM Mathematics"
}
|
3412, 23413, 23414?
o + 23409
What is the y'th term of 88, 178, 268?
90*y - 2
What is the o'th term of -84, -85, -88, -93, -100, -109, -120?
-o**2 + 2*o - 85
What is the j'th term of 12, 26, 46, 72, 104, 142, 186?
3*j**2 + 5*j + 4
What is the q'th term of 15, 0, -25, -60, -105, -160, -225?
-5*q**2 + 20
What is the w'th term of -15, -58, -131, -234, -367, -530, -723?
-15*w**2 + 2*w - 2
What is the f'th term of 10, 32, 74, 136, 218, 320?
10*f**2 - 8*f + 8
What is the m'th term of -2341, -4684, -7027?
-2343*m + 2
What is the n'th term of -77, -144, -211, -278, -345?
-67*n - 10
What is the q'th term of 97, 84, 63, 34, -3, -48?
-4*q**2 - q + 102
What is the c'th term of 84, 86, 88, 90, 92, 94?
2*c + 82
What is the l'th term of 17653, 17655, 17657?
2*l + 17651
What is the j'th term of -158, -638, -1438, -2558, -3998?
-160*j**2 + 2
What is the y'th term of -58, -115, -172, -229, -286, -343?
-57*y - 1
What is the o'th term of 10, 7, 2, -5?
-o**2 + 11
What is the c'th term of -49, -102, -155, -208, -261?
-53*c + 4
What is the d'th term of -770, -766, -762, -758, -754, -750?
4*d - 774
What is the s'th term of -682, -1357, -2018, -2659, -3274, -3857?
s**3 + s**2 - 685*s + 1
What is the b'th term of 20, 98, 228, 410, 644, 930?
26*b**2 - 6
What is the r'th term of -186, -376, -566, -756, -946, -1136?
-190*r + 4
What is the y'th term of 51, 106, 161?
55*y - 4
What is the u'th term of -22, -1, 66, 203, 434, 783, 1274?
4*u**3 - u**2 - 4*u - 21
What is the m'th term of 102, 891, 3046, 7251, 14190, 24547, 39006?
114*m**3 - m**2 - 6*m - 5
What is the t'th term of 28877, 28882, 28889, 28898, 28909, 28922?
t**2 + 2*t + 28874
What is the b'th term of 0, 4, 10, 18, 28?
b**2 + b - 2
What is the b'th term of -9, 2, 39, 114, 239?
2*b**3 + b**2 - 6*b - 6
What is the t'th term of -182, -183, -184, -185, -186, -187?
-t - 181
What is the g'th term of -2543, -2546, -2549, -2552, -2555?
-3*g - 2540
What is the k'th term of -31, -62, -89, -112?
2*k**2 - 37*k + 4
What is the y'th term of 0, 8, 50, 144, 308, 560, 918?
3*y**3 - y**2 - 10*y + 8
What is the m'th term of 47, 181, 405, 719, 1123, 1617?
45*m**2 - m + 3
What is the p'th term of -983, -1966, -2949, -3932, -4915, -5898?
-983*p
What is the t'th term of 1156, 2289, 3410, 4513, 5592, 6641?
-t**3 + 1140*t + 17
What is the x'th term of 1, 2, 3?
x
What is the o'th term of -24, -46, -66, -84, -100, -114?
o**2 - 25*o
What is the q'th term of 358, 356, 354, 352, 350, 348?
-2*q + 360
What is the v'th term of 32, 23, -8, -73, -184, -353, -592?
-2*v**3 + v**2 + 2*v + 31
What is the t'th term of -2098, -4199, -6300, -8401, -10502?
-2101*t + 3
What is the s'th term of 22, 35, 52, 79, 122?
s**3 - 4*s**2 + 18*s + 7
What is the y'th term of -1800, -1802, -1804, -1806, -1808, -1810?
-2*y - 1798
What is the m'th term of 50, -44, -294, -778, -1574, -2760?
-13*m**3 - 3*m + 66
What is the k'th term of -28, -43, -54, -61?
2*k**2 - 21*k - 9
What is the u'th term of 48, 88, 124, 156, 184?
-2*u**2 + 46*u + 4
What is the l'th term of 33, 40, 47, 54?
7*l + 26
What is the l'th term of 11, 28, 57, 104, 175?
l**3 + 10*l
What is the p'th term of 5, -1, -15, -37, -67, -105, -151?
-4*p**2 + 6*p + 3
What is the u'th term of 395, 413, 449, 509, 599, 725, 893?
u**3 + 3*u**2 + 2*u + 389
What is the d'th term of -21, -50, -77, -102, -125, -146?
d**2 - 32*d + 10
What is the c'th term of -21, -36, -49, -60?
c**2 - 18*c - 4
What is the t'th term of -3, 1, 15, 45, 97, 177, 291?
t**3 - t**2 - 3
What is the k'th term of -80, 4, 106, 232, 388, 580, 814, 1096?
k**3 + 3*k**2 + 68*k - 152
What is the x'th term of -92, -102, -102, -86, -48?
x**3 - x**2 - 14*x - 78
What is the r'th term of -13, -35, -57, -73, -77, -63?
r**3 - 6*r**2 - 11*r + 3
What is the q'th term of -91, -185, -271, -349?
4*q**2 - 106*q + 11
What is the b'th term of 9, 19, 25, 27?
-2*b**2 + 16*b - 5
What is the g'th term of -121, -236, -351?
-115*g - 6
What is the p'th term of 3629, 7258, 10889, 14522, 18157, 21794?
p**2 + 3626*p + 2
What is the y'th term of 1037, 1038, 1039?
y + 1036
What is the f'th term of 538, 536, 534?
-2*f + 540
What is the b'th term of -49, -220, -515, -940, -1501, -2204, -3055?
-b**3 - 56*b**2 + 4*b + 4
What is the u'th term of -227, -926, -2091, -3722, -5819, -8382, -11411?
-233*u**2 + 6
What is the w'th term of -1512, -1528, -1554, -1590, -1636, -1692, -1758?
-5*w**2 - w - 1506
What is the h'th term of -206, -1645, -5556, -13175, -25738, -44481?
-206*h**3 + 3*h - 3
What is the q'th term of 62, 34, -16, -88?
-11*q**2 + 5*q + 68
What is the f'th term of -87, -152, -217, -282?
-65*f - 22
What is the k'th term of -133, -277, -421, -565?
-144*k + 11
What is the o'th term of 453, 904, 1355, 1806, 2257, 2708?
451*o + 2
What is the z'th term of -63, -50, -11, 66, 193, 382?
2*z**3 + z**2 - 4*z - 62
What is the v'th term of -3, 100, 381, 930, 1837?
15*v**3 - v**2 + v - 18
What is the r'th term of -18, -30, -50, -78, -114?
-4*r**2 - 14
What is the c'th term of 34, 155, 360, 649, 1022, 1479?
42*c**2 - 5*c - 3
What is the z'th term of -67, -87, -121, -169, -231, -307?
-7*z**2 + z - 61
What is the b'th term of 156, 384, 612, 840?
228*b - 72
What is the l'th term of 59, 107, 181, 293, 455, 679, 977, 1361?
2*l**3 + l**2 + 31*l + 25
What is the s'th term of 228, 449, 670?
221*s + 7
What is the y'th term of 67, 166, 281, 418, 583, 782?
y**3 + 2*y**2 + 86*y - 22
What is the r'th term of -83, -171, -265, -365?
-3*r**2 - 79*r - 1
What is the j'th term of -32, -42, -62, -98, -156, -242, -362?
-j**3 + j**2 - 6*j - 26
What is the b'th term of -35, -67, -85, -83, -55?
b**3 + b**2 - 42*b + 5
What is the a'th term of -24, -77, -158, -273, -428?
-a**3 - 8*a**2 - 22*a + 7
What is the n'th term of 82, 162, 242, 322?
80*n + 2
What is the u'th term of 50, 133, 216, 299?
83*u - 33
What is the f'th term of 224, 446, 668?
222*f + 2
What is the x'th term of 5043, 5044, 5045, 5046, 5047, 5048?
x + 5042
What is the c'th term of 4944, 4952, 4966, 4986?
3*c**2 - c + 4942
What is the a'th term of 3, 26, 67, 126, 203, 298?
9*a**2 - 4*a - 2
What is the x'th term of 30, 57, 84, 111, 138?
27*x + 3
What is the t'th term of -13, 13, 41, 71, 103, 137?
t**2 + 23*t - 37
What is the a'th term of -104, -449, -1032, -1853, -2912, -4209, -5744?
-119*a**2 + 12*a + 3
What is the i'th term of 2, 23, 66, 137, 242?
i**3 + 5*i**2 - i - 3
What is the n'th term of -31, -44, -29, 20, 109?
n**3 + 8*n**2 - 44*n + 4
What is the t'th term of 291, 302, 313?
11*t + 280
What is the o'th term of -801, -1588, -2363, -3120, -3853?
o**3 - 794*o - 8
What is the g'th term of -22, -32, -52, -88, -146?
-g**3 + g**2 - 6*g - 16
What is the q'th term of -289, -287, -285, -283, -281, -279?
2*q - 291
What is the z'th term of -5, -10, -27, -62, -121?
-z**3 + 2*z - 6
What is the r'th term of 29, 106, 233, 410, 637?
25*r**2 + 2*r + 2
What is the c'th term of -12, -25, -50, -93, -160, -257, -390?
-c**3 - 6*c - 5
What is the p'th term of -42, -33, -18, 3, 30?
3*p**2 - 45
What is the x'th term of -24, -34, -54, -90, -148?
-x**3 + x**2 - 6*x - 18
What is the u'th term of -53, -3, 59, 139, 243, 377, 547?
u**3 + 43*u - 97
What is the x'th term of 2, 15, 30, 41, 42, 27, -10, -75?
-x**3 + 7*x**2 - x - 3
What is the v'th term of 19, 34, 61, 106, 175?
v**3 + 8*v + 10
What is the c'th term of 6585, 6593, 6613, 6651, 6713, 6805, 6933, 7103?
c**3 + c + 6583
What is the v'th term of 21, 15, -25, -123, -303, -589?
-4*v**3 + 7*v**2 + v + 17
What is the s'th term of 279, 1085, 2439, 4347, 6815, 9849, 13455, 17639?
s**3 + 268*s**2 - 5*s + 15
What is the c'th term of -325, -648, -971?
-323*c - 2
What is the g'th term of -1126, -1130, -1146, -1180, -1238?
-g**3 + 3*g - 1128
What is the o'th term of 16, 147, 512, 1231, 2424, 4211, 6712, 10047?
20*o**3 - 3*o**2 - 1
What is the z'th term of 30, 110, 266, 516, 878, 1370, 2010, 2816?
3*z**3 + 20*z**2 - z + 8
What is the y'th term of -57, -49, -35, -15?
3*y**2 - y - 59
What is the f'th term of -42, -237, -582, -1077, -1722, -2517?
-75*f**2 + 30*f + 3
What is the o'th term of -160, -168, -178, -190, -204, -220?
-o**2 - 5*o - 154
What is the g'th term of 101, 96, 91, 86, 81, 76?
-5*g + 106
What is the u'th term of 115, 228, 341, 454, 567?
113*u + 2
What is the a'th term of -27, -91, -191, -321, -475, -647?
a**3 - 24*a**2 + a - 5
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
4674499?
9
What is the units digit of 25632633?
3
What is the tens digit of 357923?
2
What is the ten thousands digit of 292096?
9
What is the thousands digit of 709206?
9
What is the hundreds digit of 1441832?
8
What is the hundred thousands digit of 11605459?
6
What is the thousands digit of 1135600?
5
What is the ten thousands digit of 2200299?
0
What is the thousands digit of 157634?
7
What is the thousands digit of 58528?
8
What is the thousands digit of 7930559?
0
What is the hundreds digit of 4892382?
3
What is the hundred thousands digit of 996088?
9
What is the hundreds digit of 30080879?
8
What is the hundred thousands digit of 1307270?
3
What is the tens digit of 5156222?
2
What is the hundred thousands digit of 412837?
4
What is the units digit of 240449?
9
What is the tens digit of 372923?
2
What is the tens digit of 13869461?
6
What is the tens digit of 13369194?
9
What is the units digit of 1314269?
9
What is the hundred thousands digit of 855089?
8
What is the tens digit of 3884952?
5
What is the hundreds digit of 936665?
6
What is the thousands digit of 1859701?
9
What is the hundred thousands digit of 7212010?
2
What is the thousands digit of 15950893?
0
What is the hundred thousands digit of 2218162?
2
What is the hundred thousands digit of 650768?
6
What is the hundred thousands digit of 256070?
2
What is the hundreds digit of 722644?
6
What is the hundred thousands digit of 375682?
3
What is the hundreds digit of 240495?
4
What is the tens digit of 7113482?
8
What is the hundreds digit of 30796?
7
What is the millions digit of 1739921?
1
What is the ten millions digit of 10273578?
1
What is the ten millions digit of 11067066?
1
What is the ten thousands digit of 2673619?
7
What is the units digit of 367133?
3
What is the hundred thousands digit of 8511514?
5
What is the units digit of 1379427?
7
What is the hundreds digit of 7487669?
6
What is the hundred thousands digit of 345871?
3
What is the units digit of 2612238?
8
What is the tens digit of 9654851?
5
What is the hundreds digit of 4989245?
2
What is the ten millions digit of 30574938?
3
What is the thousands digit of 5110624?
0
What is the thousands digit of 2658891?
8
What is the hundreds digit of 1147607?
6
What is the tens digit of 781650?
5
What is the ten thousands digit of 2134073?
3
What is the tens digit of 92723?
2
What is the thousands digit of 8133626?
3
What is the hundreds digit of 55389?
3
What is the hundred thousands digit of 109414?
1
What is the units digit of 46841?
1
What is the ten thousands digit of 532698?
3
What is the hundred thousands digit of 1988829?
9
What is the hundreds digit of 1066468?
4
What is the ten thousands digit of 8184721?
8
What is the ten thousands digit of 9117903?
1
What is the thousands digit of 71191?
1
What is the millions digit of 1615829?
1
What is the hundred thousands digit of 166632?
1
What is the tens digit of 368976?
7
What is the units digit of 3924270?
0
What is the units digit of 769?
9
What is the thousands digit of 10904707?
4
What is the hundred thousands digit of 244396?
2
What is the ten thousands digit of 956028?
5
What is the hundred thousands digit of 1650206?
6
What is the units digit of 512234?
4
What is the hundred thousands digit of 6516568?
5
What is the millions digit of 5624359?
5
What is the tens digit of 26124?
2
What is the thousands digit of 7730698?
0
What is the millions digit of 7949382?
7
What is the millions digit of 1955109?
1
What is the ten thousands digit of 1792738?
9
What is the hundreds digit of 1360555?
5
What is the tens digit of 375287?
8
What is the units digit of 495947?
7
What is the units digit of 235507?
7
What is the hundred thousands digit of 9107743?
1
What is the tens digit of 779245?
4
What is the tens digit of 24252?
5
What is the hundreds digit of 332227?
2
What is the thousands digit of 716026?
6
What is the ten thousands digit of 557184?
5
What is the units digit of 4064988?
8
What is the hundreds digit of 6822?
8
What is the units digit of 1066076?
6
What is the units digit of 174723?
3
What is the ten thousands digit of 3260399?
6
What is the thousands digit of 6818599?
8
What is the ten thousands digit of 954548?
5
What is the millions digit of 3066047?
3
What is the thousands digit of 34421293?
1
What is the ten thousands digit of 3800270?
0
What is the thousands digit of 1854942?
4
What is the hundred thousands digit of 7627572?
6
What is the units digit of 11189109?
9
What is the ten thousands digit of 73760?
7
What is the ten thousands digit of 171543?
7
What is the hundred thousands digit of 389756?
3
What is the hundred thousands digit of 2894553?
8
What is the millions digit of 4850846?
4
What is the thousands digit of 212841?
2
What is the hundred thousands digit of 10590094?
5
What is the hundreds digit of 22560093?
0
What is the ten thousands digit of 531881?
3
What is the hundred thousands digit of 295093?
2
What is the hundreds digit of 21783788?
7
What is the millions digit of 5173573?
5
What is the thousands digit of 4025413?
5
What is the millions digit of 1636330?
1
What is the tens digit of 1373208?
0
What is the ten thousands digit of 3339137?
3
What is the tens digit of 17248705?
0
What is the tens digit of 735533?
3
What is the tens digit of 946425?
2
What is the thousands digit of 1652243?
2
What is the hundreds digit of 1319046?
0
What is the tens digit of 315738?
3
What is the tens digit of 560675?
7
What is the millions digit of 5480346?
5
What is the units digit of 128350?
0
What is the tens digit of 121916?
1
What is the hundred thousands digit of 130119?
1
What is the hundreds digit of 3309599?
5
What is the tens digit of 490794?
9
What is the hundred thousands digit of 9918552?
9
What is the ten thousands digit of 4256445?
5
What is the hundreds digit of 826154?
1
What is the millions digit of 1369024?
1
What is the hundred thousands digit of 108062?
1
What is the ten thousands digit of 471427?
7
What is the hundreds digit of 2385495?
4
What is the hundreds digit of 232306?
3
What is the ten thousands digit of 366375?
6
What is the hundreds digit of 3047305?
3
What is the millions digit of 3129448?
3
What is the units digit of 615556?
6
What is the tens digit of 113637?
3
What is the hundreds digit of 132148?
1
What is the hundreds digit of 671734?
7
What is the ten thousands digit of 3193016?
9
What is the ten millions digit of 11805792?
1
What is the hundred thousands digit of 6998102?
9
What is the units digit of 9382487?
7
What is the units digit of 3932869?
9
What is the units digit of 115690?
0
What is the units digit of 1400370?
0
What is the hundred thousands digit of 183860?
1
What is the hundred thousands digit of 456021?
4
What is the units digit of 22047070?
0
What is the millions digit of 2451716?
2
What is the ten thousands digit of 79622?
7
What is the thousands digit of 215395?
5
What is the tens digit of 5129099?
9
What is the tens digit of 2134572?
7
What is the thousands digit of 6118602?
8
What is the ten thousands digit of 895066?
9
What is the tens digit of 21765092?
9
What is the ten thousands digit of 2637957?
3
What is the units digit of 125713?
3
What is the hundred thousands digit of 874650?
8
What is the hundreds digit of 3595441?
4
What is the hundred thousands digit of 2036679?
0
What is the hundreds digit of 143629?
6
What is the millions digit of 4980521?
4
What is the millions digit of 8276407?
8
What is the tens digit of 17309063?
6
What is the hundred thousands digit of 254674?
2
What is the millions digit of 26391348?
6
What is the thousands digit of 3958891?
8
What is the tens digit of 5747661?
6
What is the tens digit of 1754601?
0
What is the hundred thousands digit of 11637200?
6
What is the units digit of 262432?
2
What is the millions digit of 12048967?
2
What is the hundred thousands digit of 867270?
8
What is the units digit of 16899213?
3
What is the tens digit of 539403?
0
What is the millions digit of 9147749?
9
What is the thousands digit of 4710175?
0
What is the hundred thousands digit of 361075?
3
What is the ten thousands digit of 2104023?
0
What is the hundred thousands digit of 1249041?
2
What is the ten thousands digit of 5179064?
7
What is the hundreds digit of 71080?
0
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
= h*v - 2. Solve -v*o - 7 = 5 for o.
-4
Suppose 5*g + 5*g = 0. Solve g*s - 2*s - 10 = 0 for s.
-5
Let l be (-5)/(-1) + 5 + -5. Solve -14 - 1 = l*j for j.
-3
Suppose -3*w + 41 = 17. Suppose -w = -2*k - 2*k. Solve f = -k*f for f.
0
Let x(v) be the second derivative of -v**5/20 + v**4/2 - 2*v**3/3 + v**2 + 7*v. Let c be x(2). Solve 10 = -5*i - c for i.
-4
Let t(u) = -u - 5. Suppose 0*f = -3*f + 3. Suppose -h = 5 + f. Let n be t(h). Solve 2*j = j + n for j.
1
Suppose -3*s = 5*o - 26, -3*o = -0*s + s - 14. Solve -7 - 1 = -s*c for c.
4
Suppose 4*r = r - 3, 4*f + 2*r = 6. Let m be (2*3)/((-4)/(-2)). Suppose o + 14 = 5*x, 8 - 1 = m*x - 2*o. Solve -f = a + x for a.
-5
Let r = -6 - -8. Suppose -r*s = -0*s. Solve s*h + 5*h - 15 = 0 for h.
3
Let p(c) = c**3 + c**2 - 7*c - 1. Let l(h) = -h**3 - h**2 + 6*h + 2. Let m(q) = 3*l(q) + 2*p(q). Let r be m(-2). Solve -2*j + 2 + 2 = r for j.
2
Suppose -6*z = -7*z + 20. Solve w + z = 6*w for w.
4
Let p(m) = -m**3 + 3*m**2 - 2*m - 2. Let a be p(3). Let v = a + 5. Let t be 3/(-6)*(v + 3). Solve -2 = -t*l + l for l.
-2
Suppose 3*u = 5*u - 6. Suppose -u*p - 9 = -3*s - 0, s - 4*p = 0. Suppose -3*l + 2*l + s = 0. Solve -i = l*i for i.
0
Suppose -g - g = 0. Suppose -p - 16 = 4*k - g*p, 4*k + 4*p = -16. Let v be (-33)/k - 1/4. Solve -4*f + 20 = -v*f for f.
-5
Suppose -1 = 5*n - 16. Suppose -2*w = 4*z + 14, -11 = 5*w + n*z + z. Solve -q - 6 = -w for q.
-5
Let o = -5 - -10. Suppose -g = -o*g. Let d = g - -7. Solve -2*m + d = -1 for m.
4
Let y = -8 + 12. Let f = -5 - -19. Suppose f + 4 = 3*u. Solve -2 = y*v - u for v.
1
Suppose -27 = -g + 2*o - 7*o, 5*g = o + 5. Suppose -g*f + 3*y - 8*y = -21, 24 = 2*f + 2*y. Solve -3*i - f = -4 for i.
-3
Let h(w) = 2*w. Let k be h(-3). Let b(d) = d**3 + 6*d**2 + 3. Let x be b(k). Solve q = -8 + x for q.
-5
Let i(b) = -b**2 + 4*b - 2. Let j be i(2). Solve -k - j = -3*k for k.
1
Suppose -54 = 5*j - 4*j. Let a be ((-8)/12)/(2/j). Let m be (a/(-15))/((-3)/10). Solve 0*f + m = -2*f for f.
-2
Suppose -o = 3*o - 2*p + 10, -3*p + 15 = 3*o. Let x(y) = -y**2 - 5*y - 2. Let h be x(-4). Suppose -3*v = h*v. Solve o = -v*g - g - 3 for g.
-3
Suppose 2*a = 5*a - 6. Let t = 11 + -5. Solve -4*r + a = t for r.
-1
Let f(g) = -2*g - 6. Let n be f(-5). Suppose n*q = -q. Solve -2*x - 2*x - 20 = q for x.
-5
Let p be 2/4 + (-9)/(-2). Let y be ((-36)/(-15))/(2/20). Suppose -3*j + 63 = y. Solve -j = p*l - 3 for l.
-2
Suppose 2*t + 18 = 4*r, -2*r + 2*t - 6 = -4*r. Let v(h) = -h**3 - 6*h**2 - h - 3. Let o be v(-6). Suppose -d + 2*d - o = 0. Solve r*k = 1 + d for k.
1
Let o = -29 - -45. Solve -o = -5*i + 4 for i.
4
Let u = 26 + -8. Suppose -y + 20 - u = 0. Solve m = -y*m + 9 for m.
3
Suppose x + 8 = 5*x. Solve 3*r - 5 = x*r for r.
5
Let d(j) = j + 12. Let i be d(-9). Let u(t) = -t**2 + 3*t + 3. Let y be u(i). Suppose -y = 3*s - 21. Solve h - 3 = -s for h.
-3
Let z be (-1)/((-1)/(-4))*-4. Let n(x) = -x**2 - 5*x + 18. Let t be n(-8). Let r be (z/(-10))/(t/15). Solve b - r = 5*b for b.
-1
Let x(a) = -a. Let j be x(-7). Let y = 8 - j. Solve 0 = -t - 1 - y for t.
-2
Let c = -22 + 22. Solve c*d + 2*d = 6 for d.
3
Let j(h) = h**3 + 5*h**2 + 5*h + 4. Let x be j(-4). Let u be 11 + -11 + x/(-1). Solve 0*a + 5*a = u for a.
0
Suppose -2*i + 37 = -5*v, -49 + 10 = -4*i + 3*v. Suppose -i*r + 4*r = -4. Solve r*t - 5*t = 12 for t.
-4
Let v(c) = c**2 + 2*c + 6. Let r be v(0). Let w(j) = j**3 - 3*j**2 - 2*j - 4. Let y be w(4). Let g be 9/6*y/r. Solve 0*a = a - g for a.
1
Suppose -14 + 59 = 5*m. Suppose v = -2*v + m. Solve -v*a + 4 = -5 for a.
3
Suppose d + 10 = -d, -5*d - 23 = 2*t. Let i = -11 + 13. Solve -i*z + t = 7 for z.
-3
Suppose 3*f = 6 + 6. Let m be -4 + 7 + (-5)/(-5). Solve -m*h + 0 = f for h.
-1
Let a be 1*-7*(-4)/7. Suppose -d + 1 = -1. Let z be 3 + d + -4 + 0. Solve 0 = i - z + a for i.
-3
Let y(m) = -m - 4. Let c be (-46)/8 - (-1)/(-4). Let n be y(c). Solve -n*u = 2*u for u.
0
Suppose -15 = u - 4*u. Solve f - u*f - 4 = 0 for f.
-1
Let v = 7 - 1. Let d be 1/v + 85/30. Solve -d*a - 5 = 4 for a.
-3
Suppose -f + 3*i + 15 = 0, -i = -f - 5*i - 20. Solve f*o = o for o.
0
Suppose 3*q + 3*q = 120. Solve 0*g + 4*g = q for g.
5
Let j(b) be the second derivative of -b**3/6 + b. Let c be j(3). Let w = 6 + c. Solve -2*d + 10 = w*d for d.
2
Let t be 12/8 + 10/4. Solve -t - 16 = -4*r for r.
5
Suppose -2 = -h - 0. Suppose -h*a + 2 = 2*r - 0, 3*r - 5 = -2*a. Solve t - r = -7 for t.
-4
Suppose -d - 2*d + 11 = m, -3*m = -4*d - 7. Suppose -p + d*p - 8 = 0. Solve -4*u + p = -8 for u.
4
Let f(z) be the second derivative of z**5/20 + 2*z**4/3 + 4*z**3/3 + 9*z**2/2 - 3*z. Let u be f(-7). Solve u*d + 0 = -6 for d.
-3
Let x be 2*1*5/(-10). Let j be 1 - x/1 - -2. Solve 3*t - j = 5 for t.
3
Let u(t) = 8*t - 1. Let i be u(-1). Let c be (-5)/(-25) + i/(-5). Suppose -c*z + z = -2. Solve z = 2*r + 10 for r.
-4
Let w be -10 - -11 - 1*-1. Solve w = -2*m + 6 for m.
2
Let z(u) = -u**3 + 8*u**2 + u - 4. Let n be z(8). Suppose 0 = 3*t - 0*t. Suppose 2*m + m = t. Solve m*h + n = -h for h.
-4
Let o(a) = -a**3 - a + 4. Let b be o(0). Suppose 2*n + 4 = 3*l, 3*l = -b*n - 11 + 3. Solve l*q = -2*q + 6 for q.
3
Let r = -18 + 34. Solve 5*u + 4 = -r for u.
-4
Suppose -2*b - 3*p = -6, 0*b + 4*p - 10 = -3*b. Let c(o) = o**3 - 7*o**2 + 7*o - 2. Let k be c(b). Solve 0 = -0*u + 4*u + k for u.
-1
Suppose 24 = 4*x - 2*x. Solve -3*k + x = k for k.
3
Suppose -s - 45 = 4*s. Let p = 17 + s. Solve 4*b = -8 - p for b.
-4
Suppose t + 9 = -4*f, -2*f + 3 = 4*t - 3. Let z be (3 - 7/t)*3. Suppose z*b = -2*b + 8. Solve b = -x - 2 for x.
-4
Let b(f) = f**2 - 2*f + 2. Let a be b(2). Suppose 2*c + 4 = -a*c, -r - 4 = 3*c. Let l be 3 + (-1 - r) - -1. Solve l + 5 = 3*g for g.
3
Let t(y) = y**3 - 11*y**2 + 5. Let s be 1/3 - 412/12. Let v be (-1 - s)*1/3. Let i be t(v). Solve 0 = i*o - 10 for o.
2
Let c be 3 + (2 - 3)/1. Let i(p) = -3*p**2 + 5*p - 2 + 4*p**c + 1. Let u be i(-6). Solve -4*v - u = 3 for v.
-2
Suppose 2*s + 3*h = 4*s, 0 = 3*h. Solve s*b = -3*b for b.
0
Suppose 6*m - 4 = m - j, -j = -5*m - 4. Suppose m = -4*x + 101 - 17. Solve -5*a - 4 - x = 0 for a.
-5
Let v be (-2)/9 + (-319)/(-99). Suppose 3*u = -v*u. Solve -2 = b - u for b.
-2
Let z(r) = r**3 + 8*r**2 + 4. Let w be z(-8). Suppose -t + 7*b - 7 = 4*b, -2*t - w*b + 16 = 0. Solve -o + t = 4 for o.
-2
Let g(z) = z + 1. Let k be g(3). Solve -3 = k*l + 5 for l.
-2
Suppose 3*p = -4*f + 31, 3*p = 4*f - 2*p + 9. Suppose 0 = -g - 0*g + f*j + 14, 0 = -3*g + 3*j + 15. Solve g*l + 2*l - 16 = 0 for l.
4
Suppose 4*i - 18 = 5*w, 0*i - 2*i - 2*w = 0. Suppose -c = -i*c + 5*s - 3, s = 3*c - 33. Solve -3*v - c = -0*v for v.
-4
Let w be -12 + 2 + 0 - -1. Let j = -16 - w. Let t = j - -11. Solve -t = -2*m + 4*m for m.
-2
Suppose -35 = 14*s - 19*s. Solve z = -3 + s for z.
4
Let g(p) = -p - 4. Let i be g(-6). Suppose 3*j - 11 = -2*a, 0 = 6*a - 3*a - i*j - 36. Solve -a = c - 3*c for c.
5
Let w = -5 + 9. Suppose 2*j - 58 = -w*f - 20, 0 = -f + 3*j + 20. Suppose u - f = -c + 7, 2*u - 30 = c. Solve 0 = 4*h + 4 - u for h.
3
Let i be -5 + -4*3/(-4). Let y = i + 2. Solve b + 3 + y = 0 for b.
-3
Let v(t) = -t - 6. Let a be v(-6). Suppose 16 = 5*m + 4*g, m + 6*g - g + 1 = a. Suppose 3*f - 2*f = -m*j - 6, 0 = -5*f - j + 46. Solve -3*d = -5*d + f for d.
5
Suppose -4*y + 79 = -1. Let h = y - 17. Solve 4*l - h*l = -4 for l.
-4
Let p(h) = -h - 2. Let u be p(-5). Solve -8 = -s - u for s.
5
Suppose -2*t = 2*t - 5*p + 20, 2*t - 4*p = -16. Suppose -2*c + 8 + 0 = t. Solve c*m + 0*m = 0 for m.
0
Let z be -1 + 3/(1/(-1)). Let v be 28/(-42)*6/z. Solve w = -0*w + v for w.
1
Let g = 2 + 6. Let y = g - 6. Solve -3*r = y - 8 for r.
2
Suppose 4*s - 4*p + 24 = 0, 14 = 2*s + s + 5*p. Let x = 4 + s. Solve x = b + 6 for b.
-4
Let p(k) = -k**2 + 5*k - 2. Let h be p(5). Let c = 1 - h. Let d = c + 6. Solve -3*f + d = -0*f for f.
3
Suppose 5*a + 0 = 5. Let d(z) = 3 - 2*z**2 - 6*z - 3*z**2 + z**3 + 0*z**3. Let i be d(6). Solve i = -2*h + a for h.
-1
Let h(t) = 4*t**2 - 3*t - 3. Let n be h(-1). Solve -n*s - 6 = 2 for s.
-2
Let j = 7 + 2. Let y(w) = 4*w - 3. Let c be y(6). Solve 4*l = -c + j for l.
-3
Let l(u) = -u**3 + 2*u**2 + 3*u. Let y be l(3). Let k be y*(-3)/6*-1. Solve k = -5*m - 0*m + 20 for m.
4
Let u be 2/6 + 28/6. Let n = 47 - 39. Solve -u*v - n = -v for v.
-2
Let a(s) = -s**2 + 3.
|
{
"pile_set_name": "DM Mathematics"
}
|
- 126 - 81) as y*s**4 + h*s**2 + i*s**3 + z + f*s and give y.
4092
Rearrange g**2 + 0*g**2 + g**2 + (40 - 40 - 11*g)*(-4 + 2*g + 4) + (-g + 9*g - 3*g)*(304 - 304 - 281*g) to the form q*g**2 + k*g + o and give q.
-1425
Rearrange 0*c**2 + 0*c**2 - 19*c**2 + (5*c - 2*c - 4*c)*(2*c + 0*c + 0*c + (0*c - c - 2*c)*(22 + 9 - 46)) to the form p + l*c**2 + r*c and give l.
-66
Express (0*z + 4*z - 3*z)*(-3*z - 2*z + 4*z) + 252*z**2 - 1059*z**2 - 155*z**2 - 592*z**2 as k*z + j*z**2 + u and give j.
-1555
Rearrange (666*c**2 - 157*c**2 - 155*c**2)*(-6*c - 2 + 2) + (-1 + 1 - 2)*(-c**3 - c + c) to the form t*c**3 + m*c + j + b*c**2 and give t.
-2122
Express 2*g**2 + 21 + 4 + 20*g**4 - 28 - 357*g**3 - 17*g**4 as a*g**2 + m*g**4 + q + i*g + h*g**3 and give h.
-357
Rearrange 2*l**2 + 13 + l - 3*l**3 + 5 - 2*l**3 + 2 + l**3 to z*l + x*l**2 + c + h*l**3 and give c.
20
Rearrange 19*c**2 + 1769 - 113*c**2 + 92*c**2 to the form l*c + z*c**2 + g and give g.
1769
Express (-2 + 5 - 8)*(-4 - 3 + 6)*(177*n - 317*n - 2613*n) - n + 3 - 3 as a*n + i and give a.
-13766
Rearrange -93*m - 99*m - 6*m**2 - 412*m - 677*m - 252*m to k*m**2 + p*m + x and give p.
-1533
Express -6*k**3 - k**3 + 6*k**3 + (4726 + 41*k - 4726)*(0*k + 2*k**2 + 0*k) + k**3 + 0*k**3 + 0*k**3 as p*k**2 + d + g*k + w*k**3 and give w.
82
Rearrange 4*l**3 - 53 + 61 - l**4 + 2*l + 20*l**3 - 26*l**3 + 12*l**2 to the form x*l**2 + p + k*l**3 + u*l + v*l**4 and give k.
-2
Express -2*j + 143*j**2 + 2*j**3 - 73*j**2 - 68*j**2 - 35*j + 120 - 18*j as f*j**3 + x*j**2 + q + l*j and give x.
2
Express ((n**2 + 2 - 2)*(-5 + 3 + 1) + 32*n**2 - 19*n**2 - 198*n**2)*(2 + 2 - 2)*(-3*n + 2*n + 3*n) as v*n**2 + r*n**3 + b*n + c and give r.
-744
Rearrange ((-3 + 5 - 4)*(0*r + 2*r + 0*r) + 2*r - 2*r + r)*(-5 - 6 + 4)*(10 + 6 + 3) - 3*r - 12*r + 7*r to z*r + q and give q.
0
Express (-545 - 39 - 445 + 339 - 564)*(-3*l + 9*l + 10*l + (4 - 4 - l)*(-3 - 1 + 5)) in the form t*l + o and give t.
-18810
Express 2050*v - 4058*v + 2007*v - 2 + 51*v**2 - 23*v**3 as q*v**2 + m + r*v + k*v**3 and give m.
-2
Express -3*c - c**4 + 3*c - c**3 + (2*c**3 - 3*c**3 + 2*c**3)*(-8258*c + 225 + 4008*c + 4106*c) as k*c + b*c**4 + o + z*c**3 + r*c**2 and give r.
0
Rearrange 1889*q**4 - 63*q**2 + 1897*q**4 - 3788*q**4 + q - 17 to the form r*q + u*q**2 + t*q**3 + k + i*q**4 and give k.
-17
Express -14*q - 112 + 112 + (-4 + 5 - 4)*(26 - 13*q - 26) as u + x*q and give u.
0
Express -2*k**2 + 101*k - 127*k + k**2 + 25*k**3 - 5*k**3 in the form c*k**3 + d*k**2 + m*k + i and give d.
-1
Express -164*m - 77*m - 134 - 35*m**2 + 29*m**2 + 134 in the form a*m**2 + g*m + f and give a.
-6
Express (-76 + 47 + 42)*(25*b + 95*b + 12*b + 90*b + 235*b) in the form a*b + v and give a.
5941
Rearrange (1 + 0 + 3 + (0 + 4 + 4)*(1 - 1 - 6))*(5 - 37 + 0)*(-s + s + s**4) to the form a*s**3 + t + c*s**2 + g*s + w*s**4 and give w.
1408
Express 5*m**3 - 4*m**3 + 69 - 12*m + 11*m + 2*m**3 - m**2 + m**4 - 2*m**3 as n*m**2 + b*m**4 + q*m + z + h*m**3 and give n.
-1
Rearrange 156 + 23 - 10657*v - 179 to the form m*v + q and give m.
-10657
Express (-30 + 8 - 8)*(q + q - 4*q) + 55*q + 6*q + 8*q in the form i + d*q and give d.
129
Rearrange 20*o**3 + 66 + 20*o**3 + 106 - 58*o**3 + 17*o**3 to s*o**2 + c*o**3 + n + x*o and give c.
-1
Rearrange -4*a - 2 - 6*a**3 - 8*a**3 - 14*a**2 - 8*a**3 + 19*a**3 to the form f*a**2 + z*a + w*a**3 + y and give w.
-3
Rearrange (o - 4*o - 3*o)*(-46 + 8 - 8) + 2*o - 8*o + 3*o to the form n*o + q and give n.
273
Rearrange -453*k**3 - 122*k**3 + 2304*k**3 + (0*k - 3*k + 4*k)*(-4*k**2 + 4*k**2 + k**2) to s + w*k + b*k**2 + l*k**3 and give l.
1730
Express -2 + 2 - 2*b - 2 + 2 - 3*b + (0 - 3 + 1)*(2*b - b - 2*b) + 40*b - 33*b - 60*b in the form t*b + j and give t.
-56
Express -1395*b + 1764*b**4 + 702*b + 3*b**3 + 1 + 691*b as n*b**3 + a*b + u + f*b**2 + q*b**4 and give q.
1764
Express -1748*s - 1748*s - 1750*s + 5248*s - 38 - 811 in the form i*s + m and give i.
2
Rearrange (0*c + 2*c - c)*(-5 - 1 + 4 + (-1 - 7 - 2)*(0 + 3 + 0))*(12 - 92 - 48) to d*c + i and give d.
4096
Express (7 + 0*v - 2*v - 7)*(852*v**3 - 2622*v**3 - 5545*v**3) in the form y + p*v**3 + k*v + c*v**4 + l*v**2 and give c.
14630
Express -2*q - 74 + 153 + 126 + 15 - 2*q**2 in the form u*q**2 + o*q + v and give o.
-2
Rearrange (459*x - 161 + 450*x - 1361*x + 454*x)*(-x**2 + 2 - 2)*(x + 4*x - 6*x) to the form n*x**2 + q*x**4 + l*x**3 + m*x + a and give q.
2
Rearrange (-4*i + 5*i + i)*(1 - 3 - 8) + 1263*i - 188 - 2502*i + 1241*i to l + b*i and give b.
-18
Rearrange -77*m + 971 - 31*m**2 + 36*m**2 + 77*m to the form i + v*m + w*m**2 and give w.
5
Rearrange (156*m**3 - 6 - 84*m**3 - 85*m**3)*(8 + 86 - 39) to o*m**3 + h*m**2 + t*m + r and give r.
-330
Rearrange (m - 4*m + m)*(17 - 9 + 56)*(7*m - 2*m - 5*m + 28*m**3) to b*m**2 + q*m**3 + w + x*m + r*m**4 and give b.
0
Rearrange -2853*q - 5207*q - 10690*q + 410 - 410 to z*q + w and give z.
-18750
Rearrange (-192 + 21 + 171 + 113876*u)*(0*u**2 + 2*u**2 - u**2) to w*u**3 + d + m*u**2 + j*u and give w.
113876
Express 4*r**3 - 20 + 20618*r - 5*r**3 - 20621*r + 33*r**3 as a*r + t*r**2 + h + x*r**3 and give a.
-3
Express 3*o**3 + o**2 - 250*o - 173 - 174 + 512 - 167 + 4*o**3 in the form x*o + i*o**3 + z + m*o**2 and give m.
1
Rearrange (2*k - k + k)*(-2 + 1772*k + 2 + 1911*k + 76*k) to a*k + q + c*k**2 and give q.
0
Rearrange -2*u - 13179*u**2 + 0*u**4 - 2*u**4 - 2*u**3 + 5 + 13175*u**2 to f + b*u**4 + g*u**3 + n*u**2 + i*u and give i.
-2
Rearrange -15*t**3 + 13*t**3 + 82 - 7*t - 173 + 84 to x*t**2 + b*t + p + k*t**3 and give p.
-7
Express -8*x + 7*x + 338*x**2 - 813*x**2 in the form v*x**2 + g + f*x and give f.
-1
Express 5*y**3 - 109*y**2 + 111*y**2 - 7*y**3 - y**3 + 52 + 2*y**3 as a + z*y**3 + l*y**2 + s*y and give l.
2
Express (4 - 4 + q**2 + (-3*q**2 + 3*q**2 + q**2)*(-1 + 0 + 5))*((-13 + 10*q + 13)*(6 + 5 - 4) + 2 - 2 + 2*q) in the form b*q**3 + d + h*q + y*q**2 and give b.
360
Express -13975*k**3 - 177*k**2 + 180*k**2 + 15183*k**3 in the form y*k**3 + v*k + a + s*k**2 and give s.
3
Express 2865*c - 1007*c + 5153*c as a + k*c and give k.
7011
Express (0 + 5 + 13)*(-2 + 5 - 1)*(-2135*q**2 + 1079*q**2 + 1982*q**2) in the form h*q + t*q**2 + v and give v.
0
Express 184 - 27*m + 45 - 95*m + 108*m + 60 as r*m + o and give r.
-14
Rearrange 2123*n - 2*n**2 - 620*n - 4424*n to the form h*n**2 + x*n + u and give x.
-2921
Express -286 - 284 + 862 - 1601*m**2 + 253*m**2 - 296 as u*m**2 + b + v*m and give u.
-1348
Rearrange 3*w**2 + 137*w**3 - 536 + 536 - w**2 to l*w**2 + z*w**3 + x*w + c and give z.
137
Rearrange 298*n**2 - 1 - 299*n**2 + 2 + n**3 - 4*n**3 - 123*n to r*n**3 + p*n + u*n**2 + m and give u.
-1
Express (48*r - 154498 + 201*r + 154506)*(r**3 - r**3 + 2*r**3) - 1 - r**4 + 1 as f*r**3 + x*r**4 + z*r + g*r**2 + q and give x.
497
Express -5*z + 3*z + z + (-4*z + z - z)*(6 + 4 + 5) - 291 + 14*z - 7*z + 290 in the form t*z + h and give t.
-54
Express 7*n**2 - 37*n**2 + 7 + 30*n**2 - 346*n**2 + 3*n as k + i*n + l*n**2 and give i.
3
Express (1995 + 428*t - 1995)*(3 - 2*t - 3)*(-100 + 421 - 76) in the form j*t + b*t**2 + z and give b.
-209720
Express (-503*s + 669*s - 366*s)*(0*s + 2*s**2 + 0*s) + (-3*s + 4 - 4)*(2*s**2 + 3*s - 3*s) as m*s + w + h*s**3 + u*s**2 and give h.
-406
Express 280 + 50*l**2 - 71 - 74 - 67 + 32*l - 69 as c*l + i*l**2 + w and give w.
-1
Express 6*o + o**3 - 6*o + 15 + 19 + 4*o**2 - o**3 - 2*o**2 + (-3*o - 3*o + 4*o)*(2*o - o + o)*(2 - 2*o - 2) as x + s*o**3 + c*o + g*o**2 and give s.
8
Rearrange -2 - 2 + 4 + 24365*g**4 - g**2 + 2 - 24360*g**4 + g**3 - 9*g to z*g**3 + u*g**2 + d + k*g**4 + x*g and give k.
5
Express -22*y + 6820*y**3 + y**2 + 6818*y**3 - 13637*y**3 - 30*y + 1 in the form a*y**2 + l + x*y + h*y**3 and give l.
1
Express 2333*i - 2135*i + 11632*i - 418 + 418 in the form c + y*i and give y.
11830
Rearrange -200797*a**4 + 3 - 2*a**3 - 3602*a**2 - 4 + 200800*a**4 to the form s*a**2 + w*a**3 + y*a + t + d*a**4 and give w.
-2
Express 258 - 1035 - m + 0*m + 0*m - 3*m + 4*m + (2 - 4 + 0)*(2*m - 5*m + 2*m) + 2*m + 3*m - 6*m in the form u*m + j and give j.
-777
Rearrange (3*o**2 - 3*o**2 + o**3)*(27101*o + 1189*o + 15535*o - 15594*o + 20079*o) to d*o + f*o**3 + q*o**2 + s*o**4 + y and give s.
48310
Rearrange (0 - 2 + 0)*(1 + 2*i**2 - 1)
|
{
"pile_set_name": "DM Mathematics"
}
|
lify (((y/(y/(((y**(-1/5)/y)/y)/y*y)))/y**(2/9))/(y/(y**(2/13)*y)*y/(y*(y/(y**0*y))/y)))/((y/(y*y/(y*y*y**1)))**(-32)*(y**0)**(-36)) assuming y is positive.
y**(35528/585)
Simplify ((f**(-1/4))**(-26)/(f*f/f**(-20)*f**(-4/23)/f))**35 assuming f is positive.
f**(-23065/46)
Simplify ((g/(g*g/g**3))**(-14/9)*(g**(-2)*g)**36)**42 assuming g is positive.
g**(-4928/3)
Simplify (b**(12/5)*b**(12/13)*b**(-8/17)*b**(1/8))**(-13) assuming b is positive.
b**(-26321/680)
Simplify (m*m/(m*m/(m*m**(1/32)/m))*(m*m/m**(-1/6)*m)/m*(m*m**(-1/23)*m)/m*m**(-2/67))**(3/7) assuming m is positive.
m**(462239/345184)
Simplify ((a**(-3)*a*a/a**(-1))/((a/a**(-1))/a*a)**(-11/2))/((a**(-1/7)*a*a/(a**(3/7)/a*a*a)*a)/(a**(1/5)*a/(a*a**(-6)))) assuming a is positive.
a**(552/35)
Simplify (b**(-26))**(-28)/(b**9/b)**(1/15) assuming b is positive.
b**(10912/15)
Simplify (b*b**(-6)*(b/b**2)/b)/(b*b*b**7*b*b**(-2/11)/b)*(b/(b/(b*b**(2/13)/b*b))*b*b)/(b/(b*b**3))*b**(-3)*b/(b**(-7)*b) assuming b is positive.
b**(-810/143)
Simplify ((((f*f*f*f**(-4)/f)/f)/f**(-1/3))/(f**(28/3)*f*(((f/((f/((f**(-1/11)*f)/f))/f))/f)/f)/f))**47 assuming f is positive.
f**(-5640/11)
Simplify ((p**4/(p/(p*p*p**(-6))))/(p**(-1)*p*p)**(3/10))/((p**(-1))**23/((p*p**(-2/7)*p*p)/(p*p**(-7)))) assuming p is positive.
p**(2129/70)
Simplify (r**9/((r/(r/r**(-8)))/r)*(r**(-1/3)*r)**(-1/6))**(-7/9) assuming r is positive.
r**(-1127/81)
Simplify (q*q**2)**(1/14)/(q**0)**28*(q*q**(1/4)/q)**(-1/63)/(q**(-2)/(q/(q/(q/q**(-5/2))*q)*q*q)) assuming q is positive.
q**(1691/252)
Simplify (r**(7/2)*r*r*r**(-1/2))**48/((r**(1/6)/(r*r/(r**(-4/9)*r)))/(r**(-2))**26) assuming r is positive.
r**(3407/18)
Simplify ((f**(-4))**(-48)*((f**14*f*f)/f)/(f/f**(-9/5)*f))**(5/14) assuming f is positive.
f**(508/7)
Simplify ((x/x**(-1/2))/(x*x/(x/x**(-2))*x))/(x**0/(x/((((x*x**(-2/15))/x)/x*x)/x)*x))*(((x/(x*x**(-7)/x))/x)/(x/x**(2/23)))**(1/15) assuming x is positive.
x**(1159/230)
Simplify ((z*z**(-2/3)*z)/(z/z**8))**(-2/35)/((z**(1/4))**36)**(15/11) assuming z is positive.
z**(-2945/231)
Simplify (((p/(p/(p/((p/(p**3/p))/p))))/p)**(1/41)*p**(-2)/(p**(-1/3)*p))**(-36) assuming p is positive.
p**(3864/41)
Simplify ((u*u/(u/(u/((u*u/(u*((u*u**(2/3)/u*u)/u)/u))/u))))/u)**(-2)/(u**(2/23)/u**(-3/5))*(u/((u/(u**(-3/10)*u))/u)*u**(1/4))**(-15) assuming u is positive.
u**(-43153/1380)
Simplify (((d*d*d*d/d**(2/9)*d)**(-45)*d/d**(1/3)*d**(-2/21))**(-44))**(10/7) assuming d is positive.
d**(660440/49)
Simplify (((y**1)**38*y**(3/2)/y*y**(-2))**(-35))**(-32) assuming y is positive.
y**40880
Simplify (h**(-1/34)*h**15/h*(h*h**(-5))/h*h/(h*h**(3/17)))**(-2/9) assuming h is positive.
h**(-299/153)
Simplify ((r**35/r)/r)/(r**(-12)*r)*r**(27/2)*r**30 assuming r is positive.
r**(175/2)
Simplify (j**4*j*j**6*j)**(-13/6)*(j**(-2/5)/(j**(-3/4)/j))**0 assuming j is positive.
j**(-26)
Simplify (y**(-4/7)*y**5)/(y**(-1)*y*y)**42*(y*y*(y**(-2/7)*y)/y*y*y*y*(y/(y*y/y**(-1))*y)/y*y*y)/((y/(y*y/(y**7*y)))/(y*y*y**3)) assuming y is positive.
y**(-244/7)
Simplify (k**6/k**0*(k**(2/3))**48)/(((k**0*k*k)/((k**(2/25)*k)/k))/(k**(-1)*k)**(-1/27)) assuming k is positive.
k**(902/25)
Simplify (o**(-1/2))**(-25)/(o**(1/4))**(1/13)*(o/o**(5/4)*o/o**(3/5))/(o/o**0)**(1/15) assuming o is positive.
o**(490/39)
Simplify (g**(2/15)/(g/(g**(-2/5)/g)))**46*(g**5*g**(2/3)/g*g)**19 assuming g is positive.
g**(17/5)
Simplify i**(-8)/(((i*i**(-5)/i*i)/i)/i)*(i/(i*i/((i**(-1)*i)/i))*i)/(i**(4/9)*i)*(i**(-4)/((i**7/i*i)/i))**9 assuming i is positive.
i**(-850/9)
Simplify (s**(-1/4)*s**(3/8)*s*s/(s/((s/(s/(s/s**1*s)*s))/s))*(s*s/s**(-1/4))/s*s)/((s/s**(-4/3))/s*s**(-3/10))**(2/11) assuming s is positive.
s**(2887/1320)
Simplify ((z**(-2/21))**(1/14)/(z**(-1/59)/(z**(-15)*z)))**(-2/63) assuming z is positive.
z**(242668/546399)
Simplify ((i**(-1)*i)**(34/5)/(i/(i*i**(-2/9))*(i*i/(i/((i**(-5)*i)/i)))/i))/((i*i/(i/((i*i**(-2/5))/i*i*i)*i))**(3/7))**(-8/21) assuming i is positive.
i**(11111/2205)
Simplify (u*u/(u**(2/5)*u))**(-12)/(u**(-3)/u**(2/17))*(u**6*u**7)/(u**(1/3)/(u/(u/(u/u**(-1/2)))*u)) assuming u is positive.
u**(5653/510)
Simplify (s**(-4)/(s/s**(-5))*((s*((s*s*s/(s/(s*s**(-1)/s*s)))/s)/s)/s)**(-5))/((s**(3/4)/(s**(2/9)/s))/(s*s**(-3/4)*s*s**0/s)) assuming s is positive.
s**(-203/18)
Simplify (x**(-2/3)*x)**(-3/40)/((x/x**(-3/2))/x*x**(2/21))*x**(-7)*x**(-3/2)*x**(-8)/(x/x**3) assuming x is positive.
x**(-13541/840)
Simplify (((z**(-5/9)/z)/z*z*z**(-2/15))/((z**(-1)*z*z)/z**(-15)))**(-37) assuming z is positive.
z**(29452/45)
Simplify (((p*p**(-1)*p*p)/p)**26)**8/((p*p*(p*p**(-1))/p*p*p)**(-7/3))**(7/2) assuming p is positive.
p**(465/2)
Simplify (g*g**21)**(-43)/(g**(-35)*g)**(-14) assuming g is positive.
g**(-1422)
Simplify (((n/(n**(-5)/n))/n*n**7/n*n)/((n**(-6)/n)/(n/n**3)))/((n*n**(3/4)/n)/n**(-3/2))**(-8/9) assuming n is positive.
n**20
Simplify (((((c/(c*c**0))/c)/c)/c**(-2/9))/(c**(-1/3))**(-50))/((c**(-2/7)*c)/(c/(((c**6*c)/c)/c*c)*c)*c*c**2/c*c*c/((c*c**(-7)*c)/c)) assuming c is positive.
c**(-2089/63)
Simplify (((c*c**(-4))/c)/c)**(-10/13)*(c*c**(-31))/c**(-3/22) assuming c is positive.
c**(-7441/286)
Simplify ((d**(-2/11)*d**(-2)*d)/((d/(d*d*d*d/(d**(-9)*d*d)*d))/(d*d**(6/11)*d)))/(d*d**(-12)*d/(d*(d/(d**(-1/4)/d*d))/d))**45 assuming d is positive.
d**(22819/44)
Simplify ((h*h**6)/h**(-2/17)*(h**1)**(1/3))/(h**7*h**3*(h**(-1))**(30/11)) assuming h is positive.
h**(100/561)
Simplify ((h/(h/h**(1/3)))/(h*h**2*h))/(h**1/(h/h**(3/7)*h))*((h**(-4)/h)/(h/(h*h*((h*h**(-5))/h*h)/h*h)))**(3/19) assuming h is positive.
h**(-1739/399)
Simplify ((a/a**(-6/5))/a**7)**(-46)/((a**(-2/3))**(1/2)*a**(-2/13)/a*a/(a*a**(3/4))*a) assuming a is positive.
a**(173189/780)
Simplify (((i/(i/(i*i**(-7)*i)*i)*i*(i**(-1/18)*i)/i*i)/(i**(1/2)*i)**(-7/2))**(-1/34))**47 assuming i is positive.
i**(-2021/1224)
Simplify ((j**6/((j**(-8)/j)/j))/(j**0/(j/j**(2/11)*j)))**(-3/35) assuming j is positive.
j**(-84/55)
Simplify (q/(q**(18/7)/q)*q**(-2/7)/q*q*(q**26/q)/q*q*q**32)**(-41) assuming q is positive.
q**(-16113/7)
Simplify (j*j/(j*j**(-9/8)/j*j)*j*j**42)/(j**(-6/11)/(j/(j/(j*j**(5/4)/j)*j))) assuming j is positive.
j**(4041/88)
Simplify l**(-3/8)*l**47*l/(l**7*l)*l**(-3/7) assuming l is positive.
l**(2195/56)
Simplify ((j*j/(j**(-3/4)*j)*j**6)/(j*j**1)**13)/((j**(2/3))**9*(j/(j**2/j))/((j/(j*j*j*(j/j**(7/3))/j))/j)) assuming j is positive.
j**(-299/12)
Simplify (f/f**(13/4))/f**(-3/22)*((f/(f*f/((f*f/(f**(7/11)/f))/f)))/f)/f**(-34) assuming f is positive.
f**(125/4)
Simplify (((u**(-2)/u)/(u**(1/14)*u))/(u*u/u**3)**(-2/93))**(3/43) assuming u is positive.
u**(-5329/18662)
Simplify k**(2/5)/k**(-1/5)*k**2*k*k*k**(-1/4)*((k**4/k)/k**10)**(1/7) assuming k is positive.
k**(67/20)
Simplify ((q**(-6/5)/(q/(q**(-2/5)/q)*q))/(q/q**(-9/7)*q**(-14/9)*q))**(-22/7) assuming q is positive.
q**(43868/2205)
Simplify ((l**(-1/10)/l)/(l*(l/l**1)/l))**(7/6)/((l**4*l*l)/(l*(l/l**(3/4))/l))**(-1/35) assuming l is positive.
l**(-47/42)
Simplify ((a/(a*a*(a**(1/4)/a)/a))**(-25)*(a**(2/15))**21)**(-32) assuming a is positive.
a**(2552/5)
Simplify (h**(-5)/(h**(-1/4)/h*h))**(21/5)*((h**3)**45)**(-10) assuming h is positive.
h**(-27399/20)
Simplify (y/((y*y**2)/y))/(y/y**(5/6)*y)*y/y**(-27)*y/(y*y*y/(y**(3/11)/y)) assuming y is positive.
y**(1525/66)
Simplify ((b**5/b)/(b/b**(-5)))/(b**(1/4)*b/(b*b*b/(b/b**(-1))*b))*b**(-1)/(b/b**(-4)*b)*(b**1/b)**50 assuming b is positive.
b**(-33/4)
Simplify (n**(4/3)/(n/n**(-1/12))*(n**(1/2))**(-3/7))/(n*n*n**(-2/5)*n*n*n**(-7)*n/(n*n/(n*n**(1/6)*n))*n*n*(n**(3/7)*n)/n*n) assuming n is positive.
n**(-487/420)
Simplify ((n/n**(4/7)*n)/(n*((n/n**(-1)*n)/n*n*n)/n))**41*n**(3/4)/(n/(n**(-4/5)/n))*(n/((((n/n**0)/n)/n)/n)*n*n)**(-1) assuming n is positive.
n**(-15747/140)
Simplify ((b**(1/26))**19/(b*b/b**(-11))**(-11/6))**(1/2) assuming b is positive.
b**(479/39)
Simplify ((u**(-1/4)*u**(-4/5))/(((u/(u*u/u**(-3)))/u)/u)**(-5/8))**(-20) assuming u is positive.
u**96
Simplify n**(2/15)/(n*n**2)*n*n**(-1)/n*n/n**0*((n*n/(n**(-1/3)*n))/(n/((n/((n*n**(-2/15)/n)/n))/n)))**(11/2) assuming n is positive.
n**(26/5)
Simplify (((b*b/(b/(b/(b/b**(2/7)))))/b*b*b**(1/6))/((b**(-5)*b)/b*b*b/(b/b**1*b)))/((b**(-3/5))**(-7/2))**(11/6) assuming b is positive.
b**(673/420)
Simplify ((s*s*s/(s**24/s)*s)
|
{
"pile_set_name": "DM Mathematics"
}
|
the smallest common multiple of v and 540.
540
Suppose 40*y = 37*y + 2274. Let n = 814 - y. Calculate the lowest common multiple of 136 and n.
952
Suppose 2*l = 8, 1684 = 3*q + 5*l + 530. Suppose -q = -40*v + 33*v. Calculate the lowest common multiple of v and 18.
54
Let w = 17639 - 423337/24. Find the common denominator of -137/1120 and w.
3360
Suppose 11*r - 62 = -18. Suppose 5*w + o + r*o = 340, -4*w + 292 = -o. Calculate the smallest common multiple of w and 66.
792
Let x be (-5 - -8 - 5)*-1142. Let f = x - 27461/12. What is the common denominator of -71/24 and f?
24
Let h(m) = -58*m**2 + 52*m - 5 + 59*m**2 + 132 + 22. What is the smallest common multiple of h(-49) and 410?
410
Let o be (-4 - -3)/(1/(2 + 7)). Calculate the common denominator of 79/10 and (678/(-400))/(-6 - o).
200
Suppose 0 = -4*f + 2*p - 632, 2*p = -f - 121 - 47. Find the common denominator of -53/8 and 2*(-452)/f - 3/(-4).
40
Find the common denominator of 145/756 and (0 - -1)*-8 - ((-3479008)/96768 - -28).
3024
Let y = 8325 - 7198. What is the least common multiple of 112 and y?
18032
Let f(y) = -y**2 - 2. Let i be f(-2). Let x be i/(-1654)*(-2)/(-6). Let a = 62033/6616 - x. Find the common denominator of a and 57/10.
40
Let l = -15 + -69. Suppose 12*t + 820 = 2*t. Let f = t - l. Calculate the lowest common multiple of f and 1.
2
Suppose 25*a - 6 = 24*a. Find the common denominator of -133/54 and a/(-30) - (3454/(-180))/(-11).
54
Suppose -5*x - 14*k + 15*k + 285 = 0, 3*x - 5*k = 193. Calculate the smallest common multiple of 22 and 1552/x + 3/42*4.
308
Let v = -43 - 9. Suppose 5*l + 46 = -3*o, 4*o - 3*o = l - 2. Calculate the smallest common multiple of o/(-2) - (-78)/v and 12.
12
Let a = -25633784023/639764637800 + -3120/4138193. Let z = a - -9/1546. Calculate the common denominator of z and 139/18.
1800
Let v(g) = 14*g - 4*g**2 + 22 - g**3 - 7*g**2 + 7. What is the lowest common multiple of v(-12) and 13?
65
Let z be 10/(-60) - 658603/24. Let p = -27436 - z. Calculate the common denominator of p and 17/108.
216
Let x = -971 + 6766/7. Let r = 344563/47 - 7332. Find the common denominator of r and x.
329
Suppose 65*d = 67*d + 2*q - 1048, -d + 4*q = -544. What is the least common multiple of 528 and d?
528
Let q = 2000 + -63901/32. What is the common denominator of 27/766 and q?
12256
Suppose r + 3*h + 3 = 3*r, -4*r - h + 27 = 0. Suppose -3*a - r + 24 = 0. Calculate the smallest common multiple of a and ((-12 - -16) + -1 + 8)/((-5)/(-5)).
66
Let s be (1 - 2)*10/(-2). Let j = 1834 + -1825. Suppose s*g + x - 96 = -j, g - 5*x = 33. What is the smallest common multiple of 12 and g?
36
What is the common denominator of -127/30 and ((-40)/2)/(-5) - (-2753)/2088*-3?
3480
Let b be (-46)/(-69) + 4/(-6). Suppose b*h - 869 = -3*h + 4*w, 4*w - 901 = -3*h. Suppose -9*z + h - 79 = 0. Calculate the least common multiple of z and 27.
216
Suppose -8*u = -48 - 16. Suppose 0 = u*b - 22 - 2. What is the smallest common multiple of 30 and b?
30
Let t = -12 + 7. Let b be (-1902)/(-3555) - (0 - 2/t). Let k = -12997/3792 - b. What is the common denominator of k and 119/6?
48
Suppose 5*z - 265 = 5*u, 0 = 4*u + 2*z - 0*z + 188. Let p = u - -75. Calculate the smallest common multiple of p and 10.
130
Let i(d) = -4*d - 34. Let o be 1/4 + -1*164/16. Let l be i(o). Suppose 3*z = l*z - 21. Calculate the lowest common multiple of z and 1.
7
Let z be -2 - -4 - 4/(-4). Let g = z - -1. Let b = g + 14. Calculate the least common multiple of b and 12.
36
Let c(l) = l**3 + 3*l**2 - 5*l - 5. Let i(u) = -u**2 - u - 1. Let g(z) = -c(z) - i(z). Let j = 3926 - 3922. Calculate the least common multiple of j and g(-4).
28
Suppose -53 - 43 = 6*f. Find the common denominator of 19 + -22 + (-190)/f and 11/4.
8
Suppose 0*t + 113798 = -4*q - 2*t, -2*t = -10. Let b = 1564802/55 + q. Find the common denominator of 61/88 and b.
440
Suppose 0 = h - i + 19, -5*h - i - 105 = -4*i. What is the lowest common multiple of (15 - -1) + h + 24 and 678?
5424
Let n = -94086 + 71505429/760. What is the common denominator of -62/171 and n?
6840
What is the smallest common multiple of (2 + (-30)/18)*(90/9 - -23) and 3959?
43549
Let w be -6*(-2)/(-3) - 520/(-4). Let f = 144 - w. Calculate the smallest common multiple of f and 4.
36
Let p = -189223/2070 - -2115/23. Calculate the common denominator of 50/324*(24 + -22) and p.
810
Let r be (0 - -2) + (98/(-2))/(-7). Suppose -18*j + 9*j + r = 0. Find the common denominator of 91/8 and (j/(-132))/(2/620).
264
Let c be (-13)/((-3)/(-4) + (-14)/8). Let k = 1 + -3. Calculate the lowest common multiple of 2 and c + (-1 - k) + 0.
14
Let k = -5592 - -111807/20. Find the common denominator of 91/7950 and k.
15900
Let j = 6804 - 3731. What is the smallest common multiple of j and 28?
12292
Let q(g) = 68*g - 3. Let k be q(-1). Let c = k + 77. Suppose -3*t = -2*l + 68, 28 + 0 = l - 3*t. What is the smallest common multiple of c and l?
120
Let a be 1 + 4 + -1 - (-2421958)/(-60). Let q = a + 40366. Find the common denominator of q and -11/40.
120
Suppose -34*t = -12*t + 5566. Let s = -231 - t. What is the smallest common multiple of s and 138?
1518
Let d(x) = 585*x - 19. Let r be d(4). Suppose 2*g = -3*i - 2443 + 9381, -i + r = -g. Let u = i + -20891/9. Find the common denominator of u and 36/25.
225
Let k = 25249/2565 - 278/27. Calculate the common denominator of 39/(-78) + (-122)/(-10) and k.
190
Suppose 99*n - 2160 = 84*n. What is the lowest common multiple of 192 and n?
576
Calculate the common denominator of (-18)/(1080/380)*3/16 and -85/124.
496
Let y = -69901/371424 + 5/5088. Find the common denominator of 88/1095 and y.
1095
Suppose -72*s = -7*s - 1430. Calculate the least common multiple of s and (23 - 0) + 0 + -3.
220
Let u = -17 + -11. Let o = -45 - u. Let g = 33 + o. Calculate the least common multiple of 18 and g.
144
Let g = -7478 - -658065/88. Let u = 2483 - 19831/8. Calculate the common denominator of g and u.
88
Let y = 76743290/3076291 + 15/130906. Let x = 200975/7896 - y. Find the common denominator of x and -59/49.
1176
Let b = 67533/10 - 6759. Calculate the common denominator of b and 36/432*108 + (-5214)/560.
280
Suppose 5 = 49*l - 50*l. Let y be 40/2 - l/(-10)*0. Suppose 6*i - i = w + 34, y = -5*w. What is the least common multiple of i and 14?
42
What is the common denominator of 1/(-24)*142633/(-11970) - 3/6 and 4/7?
15120
Let z(s) = -58*s - 4. Suppose -77 - 28 = -3*g + 3*y, -165 = -4*g - y. What is the lowest common multiple of z(-2) and g?
560
Let i = 5564347/438466 + -1/93957. Let f = -4/21 + i. Calculate the common denominator of f and -75/148.
148
What is the smallest common multiple of 2231 - (-1 + (-9)/(63/(-70))) and 16?
17776
What is the common denominator of (-1)/10*3 + 6275/(-750)*1 and 7*46/390 - 1?
195
Calculate the common denominator of (13/(-156))/((-1)/(-2))*-142 and (15/(-177))/((-8)/(-120)*-3).
177
Suppose 2*h = 4*f - 488, 3*f + 2*h = -2*f + 592. Suppose 7*r - f = -8. What is the smallest common multiple of 18/(0 + 3/2) and r?
48
Let y(z) = -943*z - 1. Let p(f) = 942*f. Let m(j) = 2*p(j) + 3*y(j). Let g be m(1). Calculate the common denominator of 21/8 and (g/96)/((-1)/(-1)).
8
Suppose 5*n = x - 109, -2*x = 2*n - 6*x + 40. Let u = 48842/15 - 3261. What is the common denominator of u and (30/8 - -1)*n/55?
30
Let h = 144931 - 103625633/715. Find the common denominator of 109/1144 and h.
5720
Suppose 3*j - 5*d = 7189, -7191 = -3*j + 24*d - 21*d. What is the smallest common multiple of 3924 and j?
43164
Find the common denominator of 80/39 and (-1 + (-2720)/(-2730))/((-104)/632).
3549
Suppose -16 - 152 = -4*v. Suppose 92*n - 103*n - 99*n = 2860. Let q = v - n. Calculate the smallest common multiple of q and 8.
136
Let a = 33989/2 + -61299160/3607. Find the common denominator of -55/14 and a.
50498
Let u = 1069433/36 + -29704. Let r = -28991/561 - -1807/34. Calculate the common denominator of r and u.
396
Find the common denominator of 16016/(-1440) + 16/72 and 31/1802.
9010
Suppose 0 = 2*u - 7 + 19. Find the common denominator of (-9)/(-2730)*-146 + (-80)/(-100) and 20/(-6)*13/u.
819
Let q = -75 - -64. Let a(l) = 2*l**2 + 18*l - 4. Calculate the lowest common multiple of a(q) and 6.
120
Let k = 15/214 - 2277/428. Suppose -z + 3*p - 34 = 0, -z + 2*p + 3*p - 38 =
|
{
"pile_set_name": "DM Mathematics"
}
|
21
In base 3, what is -1 + -210200101012?
-210200101020
In base 3, what is 1011221202 + 11?
1011221220
In base 11, what is 22 + -2019?
-1aa7
In base 15, what is -cb - ee?
-1ca
In base 10, what is 608 - 567?
41
In base 14, what is 3448 - 305?
3143
In base 3, what is -20012000211 + 11?
-20012000200
In base 3, what is 200000011 - -122?
200000210
In base 13, what is 18 - 1386?
-136b
In base 9, what is -4 + -535170?
-535174
In base 15, what is 982 + -4?
97d
In base 7, what is -1223 - -3605?
2352
In base 3, what is 22000220 + 10221?
22011211
In base 4, what is 1230 - -203131?
211021
In base 9, what is -3 - -1411623?
1411620
In base 7, what is -1 - -600013?
600012
In base 2, what is 10010 - -100010110001?
100011000011
In base 7, what is -10331254 - 1?
-10331255
In base 3, what is -12 + -111010220022?
-111010220111
In base 2, what is 11000110001 - -101?
11000110110
In base 15, what is -3 - 7adca?
-7adcd
In base 9, what is -13 - 5185?
-5208
In base 13, what is 2 - -196bc?
196c1
In base 10, what is -244003 + 3?
-244000
In base 16, what is 2404 - -3?
2407
In base 4, what is 22 + 112030?
112112
In base 10, what is -11 - -14689?
14678
In base 14, what is 1b3a - 14d?
19cb
In base 12, what is 8798 - -5?
87a1
In base 15, what is 4ebe + 3?
4ec2
In base 16, what is -24 + -8e7?
-90b
In base 16, what is -2890f + 3?
-2890c
In base 14, what is d2 - -6b?
15d
In base 7, what is 1021132 - 2?
1021130
In base 15, what is 8 - 6ad5a?
-6ad52
In base 7, what is 5 + 112460?
112465
In base 4, what is 30213210 + 0?
30213210
In base 15, what is 26 - 15be?
-1598
In base 8, what is 276 - -12353?
12651
In base 7, what is 55631 + 41?
56002
In base 4, what is -132310 + 33131?
-33113
In base 5, what is -2044203 - 4?
-2044212
In base 2, what is -100010111000011101 + -101?
-100010111000100010
In base 14, what is -7 + -80b5d?
-80b66
In base 4, what is -302232132 - -1?
-302232131
In base 10, what is -28478 + -4?
-28482
In base 10, what is 1087 + -13?
1074
In base 2, what is 1 - -110010110100000100?
110010110100000101
In base 14, what is 3 - -11bd6?
11bd9
In base 10, what is 136 + 5598?
5734
In base 4, what is -2110211 + -12?
-2110223
In base 2, what is -10001000001001101101 - -11?
-10001000001001101010
In base 12, what is -26215b + -3?
-262162
In base 9, what is -82668 - -1?
-82667
In base 9, what is -1 - -15114?
15113
In base 4, what is 132222001 + 3?
132222010
In base 11, what is -3a73 + 3?
-3a70
In base 8, what is -12447 + 473?
-11754
In base 13, what is 1 - 18895?
-18894
In base 10, what is 2 - -48033?
48035
In base 2, what is 1000 - 110100101110010?
-110100101101010
In base 7, what is -1031 + -44?
-1105
In base 11, what is 895 + -25?
870
In base 6, what is -310 + 324?
14
In base 5, what is -2330 + -13400?
-21230
In base 8, what is -167440 - -2?
-167436
In base 11, what is -1600 + -5a?
-165a
In base 4, what is -1222103320 - 3?
-1222103323
In base 16, what is d - 3f5e?
-3f51
In base 11, what is -87 + 29755?
29679
In base 10, what is -13304 + -8?
-13312
In base 5, what is 10 - -11341130?
11341140
In base 8, what is 22755 + -11?
22744
In base 3, what is 0 - -1120022202?
1120022202
In base 4, what is 2110 + 11333330?
12002100
In base 14, what is -1b98 + -2?
-1b9a
In base 6, what is 330001 + 102?
330103
In base 15, what is -a + 58?
4d
In base 6, what is 14 + 115541?
115555
In base 8, what is 2724 - 2214?
510
In base 12, what is -a75 - -38?
-a39
In base 13, what is 6551 - cc?
6452
In base 12, what is 3 - -31139?
31140
In base 16, what is -c6de4 - 3?
-c6de7
In base 11, what is -34a47 - 40?
-34a87
In base 4, what is 10 - 1233332?
-1233322
In base 4, what is 10 + 1120020102?
1120020112
In base 14, what is 2 + -3ad0?
-3acc
In base 14, what is 2247 - 5d?
21c8
In base 11, what is 52 - -138?
18a
In base 2, what is 0 + 10110101100101111?
10110101100101111
In base 8, what is -2 + 113555?
113553
In base 10, what is 175 - 1103?
-928
In base 16, what is 3 + -3b43?
-3b40
In base 12, what is 21368 + -2?
21366
In base 11, what is a231 + -1?
a230
In base 3, what is -10 + -1212112?
-1212122
In base 10, what is 5 - -32007?
32012
In base 9, what is 5231 + -5?
5225
In base 14, what is -364 + 1b?
-347
In base 9, what is 11115 + 104?
11220
In base 10, what is 44 - -345?
389
In base 15, what is 5 - a39e8?
-a39e3
In base 11, what is -11a81 + -1?
-11a82
In base 2, what is -111111101 + -11000111?
-1011000100
In base 12, what is 14 - -17773?
17787
In base 3, what is -11 + -112210202?
-112210220
In base 4, what is 212312200 + 1?
212312201
In base 15, what is 432 + 43?
475
In base 13, what is -5 + -b5a9?
-b5b1
In base 2, what is -11000011011011110 - -11?
-11000011011011011
In base 12, what is 1ba2 + 141?
2123
In base 6, what is -11134 - -3343?
-3351
In base 12, what is -21 + 7923?
7902
In base 12, what is -14450b + 0?
-14450b
In base 10, what is -9 - -669?
660
In base 15, what is -6 - ae6?
-aec
In base 12, what is 1 - 1a8559?
-1a8558
In base 5, what is -13 + -34002001?
-34002014
In base 5, what is 31 + -3330024?
-3324443
In base 13, what is -12 - -7510?
74cb
In base 8, what is -6 - -50527?
50521
In base 2, what is 1000000100001001 - 0?
1000000100001001
In base 14, what is 1488 - 3?
1485
In base 15, what is 48 - 6349?
-6301
In base 16, what is 21 + -d0e?
-ced
In base 6, what is 3043 + 212?
3255
In base 11, what is 3 + 712877?
71287a
In base 3, what is -2 - -1201100102?
1201100100
In base 16, what is -22 - -7827?
7805
In base 8, what is -320 + 2?
-316
In base 12, what is -770 + 8a?
-6a2
In base 15, what is 81bc9 + -1?
81bc8
In base 2, what is -1001110111 + -110?
-1001111101
In base 7, what is 5563 - 1023?
4540
In base 9, what is -3857 + 2?
-3855
In base 7, what is 6 + -12230331?
-12230322
In base 10, what is 5 - -236642?
236647
In base 13, what is -18 - -c8ca?
c8b2
In base 9, what is 88035 + 21?
88056
In base 6, what is 1 + -21350?
-21345
In base 4, what is 103312 + 132?
110110
In base 2, what is 100 - -10111000110011?
10111000110111
In base 9, what is -5 - 10050?
-10055
In base 12, what is -221b + 5?
-2216
In base 16, what is 3 + 1e2da?
1e2dd
In base 12, what is 136 - 195a?
-1824
In base 4, what is 3032003 - -3311?
3101320
In base 15, what is 1596 + 14?
15aa
In base 10, what is -1 - 1943?
-1944
In base 4, what is -111030 + -33122?
-210212
In base 3, what is -12222 + -1222102?
-2012101
In base 12, what is -441 - 27?
-468
In base 13, what is 40a4 - 3?
40a1
In base 2, what is 11010001001101011101 + -100?
11010001001101011001
In base 12, what is -5 - -189823?
18981a
In base 5, what is 1143020 - 4?
1143011
In base 10, what is 1835560 + -3?
1835557
In base 5, what is 10 + -34001424?
-34001414
In base 10, what is -5 - 35024?
-35029
In base 13, what is 15829 + -4?
15825
In base 12, what is a25 + 7a?
aa3
In base 15, what is 6 - a16c?
-a166
In base 10, what is -6518 - -94?
-6424
In base 8, what is -11060 - -67?
-10771
In base 4, what is -3113320 + 0?
-3113320
In base 4, what is 320 - -20333?
21313
In base 2, what is -1001101 - 100100110101000?
-100100111110101
In base 4, what is -131210 + -101?
-131311
In base 10, what is 4 + 4528?
4532
In base 14, what is -26793 + -5?
-26798
In base 2, what is -111110000100100 - -111001?
-111101111101011
In base 15, what is -1 - -2e277?
2e276
In base 13, what is 394 + 264?
628
In base 12, what is -8683b + 1?
-8683a
In base 16, what is -2fb - 0?
-2fb
In base 12, what is 2 - 29b02?
-29b00
In base 12, what is 0 - 206a3?
-206a3
In base 16, what is 7 + 11df1?
11df8
In base 2, what is 10001001000 - -11100000?
10100101000
In base 9, what is -3 - 45255?
-45258
In base 9, what is 5 + -181022?
-181016
In base 12, what is 354934 + -5?
35492b
In base 8, what is 5 - -371463?
371470
In base 13, what is b29 - 150?
9a9
In base 11, what is -758 + -12a?
-887
In base 10, what is 224352 + -1?
224351
In base 2, what is -100101100 - 10101110?
-111011010
In base 9, what is 568 + 6713?
7382
In base 8, what is -1622 + -7?
-1631
In base 8, what is 347 + 165?
534
In base 12, what is -a7 + -258?
-343
In base 16, what is b1 + -a8?
9
In base 10, what is 1248 + 10?
1258
In base 16, what is -16d4 + 6?
-16ce
In base 3, what is -2002 + -2121010?
-2200012
In base 14, what is -a3 + -c70?
-d33
In base 12, what is -103531 - 1?
-103532
In base 9, what is 365 + -41?
324
In base 4, what is -10302 - 100221?
-111123
In base 15, wha
|
{
"pile_set_name": "DM Mathematics"
}
|
s divided by t(4)?
9
Suppose 4*k - 2 = 10. Suppose 12 + 30 = k*t. Calculate the remainder when 27 is divided by t.
13
Let k be (-1*11)/(1*-1). Suppose 3*s + 7 = 5*c, 4*c = -2*s + 17 + 15. Let t = k - s. Calculate the remainder when t is divided by 2.
1
Suppose 3*p = -v + 4, -5*p = -2*v + 70 - 7. Calculate the remainder when 36 is divided by v.
17
Suppose -2*x + u = -4*u - 12, -3*u - 8 = -2*x. Suppose 5*l - 10 = 3*l. Suppose l*m = -4*g - 3, -m - 4*g = 2 + 5. Calculate the remainder when x is divided by m.
0
Let m = 111 + -48. What is the remainder when 186 is divided by m?
60
Let c = 46 - 25. Suppose 3*k = -2*k + 310. What is the remainder when k is divided by c?
20
Suppose -3*p = -0 - 63. Calculate the remainder when p is divided by 12.
9
Suppose 5*i - 126 = -5*x + 249, -3*x = 0. Calculate the remainder when i is divided by (-9)/(0 - -3) + 22.
18
Suppose 3*w - t = -w - 3, 3 = -w + t. Suppose 4*g - 8*g + 16 = w. Calculate the remainder when 10 is divided by g.
2
Let s be 0/2*3/(-6). Suppose -n - 24 = -l + 2*n, 3*l + 5*n - 86 = s. Let z = -18 + 32. What is the remainder when l is divided by z?
13
Let y(i) = -3*i**3 - 2*i**2 + 1. Let x = 0 + -1. Calculate the remainder when 5 is divided by y(x).
1
Calculate the remainder when (-1 - -2)*78/2 is divided by (-3)/(-12)*0 + 14.
11
Let v(s) = 4*s - 9. Suppose -p - 1 = 0, 0 = 21*g - 18*g + p - 26. Calculate the remainder when v(6) is divided by g.
6
Let v(q) = -4*q - 1. Let c be v(-2). Let n = -2 + 4. What is the remainder when 8/(-4) - -1*c is divided by n?
1
Let g = 41 + -24. Calculate the remainder when g is divided by 2.
1
Suppose 5*r - 3*z - 18 = 0, 5*r = -3*z + 28 + 14. Suppose -2*s + r*s - 328 = 0. Calculate the remainder when s is divided by 21.
19
What is the remainder when ((0 + -20)*2 - 3)*-3 is divided by 22?
19
Let d be 2/(-4)*(-40)/4. Suppose h - 10 = 5*l - 3*h, d*l + 5*h = -10. Let j(u) = -2*u**3 + u**2 - 1. Calculate the remainder when j(l) is divided by 7.
5
Let t = -37 + 159. What is the remainder when t is divided by 41?
40
Let p = -54 + 114. Let z = p + -42. Let w = 1 + z. Calculate the remainder when 55 is divided by w.
17
Suppose -q - 8*r = -4*r + 14, r = -2*q. Suppose 0 = -q*o - 76 + 276. Suppose v - 2*z - o = -v, 4*v - 2*z = 198. Calculate the remainder when v is divided by 17.
15
Let f(m) = 3*m**3 - m**2 + 2*m - 2. What is the remainder when 86 is divided by f(2)?
20
Suppose -2*f - 2*f + 20 = 0. Suppose -4*s + 2*p - 144 = s, 0 = 2*s - f*p + 66. Let h = s - -61. What is the remainder when h is divided by 12?
9
Suppose -5*j = -j - 8. Calculate the remainder when 3 is divided by j.
1
Suppose 5*w = -9 + 14. Calculate the remainder when -1 + w - (0 + -5) is divided by (-3 + 1)/((-2)/3).
2
Calculate the remainder when 22 is divided by ((-8)/(-2))/(4/12).
10
Let r(x) = -x**2 + 15*x - 26. Let j = -48 - -83. What is the remainder when j is divided by r(11)?
17
Let i(o) = 2*o - 4*o + 11 + o. What is the remainder when 11 is divided by i(7)?
3
Suppose -5 + 30 = 5*v. Suppose 17 - v = 2*d. Calculate the remainder when 23 is divided by d.
5
Suppose -4*y + 7*y = 57. Let n = -13 + y. Let c = 22 - n. Calculate the remainder when 30 is divided by c.
14
Suppose 13 + 7 = 2*m. Suppose 6*q - 196 = -22. What is the remainder when q is divided by m?
9
Suppose 2*w = c + 3*w - 84, w = -2*c + 165. Calculate the remainder when c is divided by 28.
25
Let k = -13 + 17. Suppose -7 = p - k, 0 = 4*c - 4*p - 40. What is the remainder when c is divided by 3?
1
Let u(a) = -8*a - 3. Let f(n) = n**2 - 3*n - 2. What is the remainder when f(-5) is divided by u(-2)?
12
Suppose 12 + 12 = f - 4*h, 64 = 3*f - 4*h. Calculate the remainder when f is divided by 6.
2
Let k(x) = -2*x + 49. What is the remainder when 82 is divided by k(14)?
19
Suppose -4*k + 864 = 348. Calculate the remainder when k is divided by 44.
41
Let y = -49 - -69. What is the remainder when y is divided by (-3)/(-2)*4 + 1?
6
Let u = 6 + -4. Suppose -u*o - 54 = -5*o. Suppose -n = n - o. What is the remainder when 25 is divided by n?
7
Suppose -3 = -2*y + 1. Suppose -5*o + y*v + 12 = -3*o, 0 = -3*o - v + 14. Let u(a) = -a**2 + 18*a - 9. What is the remainder when u(17) is divided by o?
3
Let n be 50/18 - (-10)/45. Suppose -n*y = -3*k - 21, -3*k + 0*k - 5 = 5*y. Suppose 2*r + y*r = 52. What is the remainder when 49 is divided by r?
10
Suppose 3*v + 2*v + 4*s = 151, 4*v = 2*s + 126. What is the remainder when 122 is divided by v?
29
Suppose w = -5*w + 30. Suppose 5*z + d = 216, 3*z - w*d = -d + 148. What is the remainder when z is divided by 15?
14
Suppose 48 = y + 17. Suppose 0 = -3*q - 3*q - 84. Let i = y + q. Calculate the remainder when i is divided by 9.
8
Suppose -84 = l - 5*l + 2*k, -2*l + 50 = k. Suppose -4*m = 3*v - 27, v - 1 + 3 = -5*m. Calculate the remainder when l is divided by v.
10
Let p be (-4)/(-2 - 2) + 40. Let c = -26 + p. Calculate the remainder when c is divided by 4.
3
Suppose -c + 0*f = -2*f - 9, 4*f = -4. Let n = 74 - 62. What is the remainder when n is divided by c?
5
Let u = -10 - -16. Let b = u - -18. Let j(k) = -k**3 + 4*k**2. What is the remainder when b is divided by j(3)?
6
Suppose -3*d - 3 = 5*c, 0 = -5*d - 3*c + 2 + 9. Suppose -3*k + d*f + 14 = 3*f, k - 1 = 4*f. Calculate the remainder when k is divided by 3.
2
Let o = -87 + 97. What is the remainder when 38 is divided by o?
8
Let z = -7 - 3. What is the remainder when z/(-1 + 1/2) is divided by (4/(-6))/(2/(-33))?
9
Suppose -25 = -g + 3*l, -5*l + 38 = 3*g + 5. What is the remainder when g is divided by 10?
6
Let h = -88 + 81. Let l(o) be the first derivative of o**3/3 + 3*o**2 + 7*o + 1. What is the remainder when l(h) is divided by 8?
6
Suppose 3*c - 2*w - 878 = 0, -w - 234 = -c + 57. Calculate the remainder when c is divided by 33.
32
Let k = -12 - -18. Let a(q) be the second derivative of q**4/12 + 2*q**3/3 - 2*q**2 - 2*q. What is the remainder when a(-7) is divided by k?
5
Suppose -9 = -3*v + 24. Suppose 21 = g + q, 2*g + 4*q = 3*g - 16. Calculate the remainder when g is divided by v.
9
Let s(n) = -17*n - 1. Let b be s(-1). Suppose 4*l + 4*z + 5 - 29 = 0, z = -2*l + b. Let f = l + 26. Calculate the remainder when f is divided by 13.
10
Let z be 12/(-8)*8/(-3). Let i be 2/z*(1 + 1). Suppose x - 38 = -3*q, 2*q - 4*x + i = 3. Calculate the remainder when q is divided by 4.
3
Let s(q) = 3*q - 14. Let u(o) = 2*o**2 + 10*o - 6. Let k be u(-6). What is the remainder when 17 is divided by s(k)?
1
Let h = 4 + 0. Suppose 0 = 3*v - 0*q - q - 157, 2*v + 3*q = 123. Suppose -4*b + v = 14. Calculate the remainder when b is divided by h.
2
Let o(r) = -r**2 - r + 1. Let c be o(1). Calculate the remainder when -4 + 5 + -3 + 4 is divided by 4/6 - c/3.
0
Let h(j) = -7*j**3 + j**2 + 2*j + 1. Calculate the remainder when 48 is divided by h(-1).
6
Let y = 2 + 4. Let d = 10 - y. What is the remainder when 5 is divided by 0/(-1) + 8/d?
1
Let f(y) = -y**3 - 2*y**2 + 4*y - 1. Calculate the remainder when f(-4) is divided by 1/((-2)/(-5) - (-169)/(-585)).
6
Let g(k) = -k**3 + 7*k**2 - 6*k + 6. Let r = -3 + 24. What is the remainder when r is divided by g(6)?
3
Let j = 14 + -10. Suppose 0 = 4*f + 8, -j*b + 5*b - 1 = 3*f. Let w = 11 + b. Calculate the remainder when 17 is divided by w.
5
Let l(s) = -2*s + 5. Let q be l(-7). Suppose -m + 25 = q. What is the remainder when 27 is divided by m?
3
Let w = 11 - 2. Calculate the remainder when 35 is divided by w.
8
Let h be (-6)/4*(-2)/(-3). Let z = 0 - h. Let a = z - -1. What is the remainder when 7 is divided by a?
1
Let p = -3 - -5. Let u(r) = -r**2 + 2*r + 10. What is the remainder when u(0) is divided by (1 - p - -1) + 6?
4
Suppose 5*w + 9 - 59 = 0. What is the remainder when w is divided by 7?
3
Let f = 14 + -15. What is the remainder when (2 + 90)/(1 - f) is divided by 16?
14
Suppose -2*l = -3*f - 1460, 3*l - 567 - 1622 = 4*f. Let d be (-6)/15 - l/(-5). Suppose 2*w - d = -3*w. Calculate the remainder when w is divided by 10.
9
Let w(u) = 2*u - 8. Let v be 2/(-9) + 65/9. Let k(f) = -f**2 - 8*f - 5. What is the remainder when k(-4) is divided by w(v)?
5
Suppose 0 = -0*m - m + 5. Suppose m*h - 76 = h. Calculate the remainder when h is divided by 5.
4
Suppose -3*n - 53 = 5*k, -33 = 4*n - 3*k - 1. Let q = n + 20. What is the remainder when q is divi
|
{
"pile_set_name": "DM Mathematics"
}
|
Let z be g(4). Let l be (z/4)/(3/6). What is the second derivative of -l - 2*p + p**2 + 1 wrt p?
2
Suppose 0 = -2*m - m + 51. What is the first derivative of -4 - 13*f**4 + m*f**4 - 3 wrt f?
16*f**3
Let q(p) = -p**3 - p**2 - p + 1. Let f(n) = -2*n**3 + 2*n**2 + n - 1. Let a(c) = -5*f(c) - 5*q(c). What is the third derivative of a(m) wrt m?
90
What is the derivative of 1 + 0 - 2 + 0 + 9*r**2 wrt r?
18*r
Suppose -5*u = 2*q - 33, q + 5*u - 9 = 20. Find the third derivative of -8*j**q - j + j + 4*j**2 + 0*j wrt j.
-192*j
Let t(f) = -f**4 + f + 1. Let u(s) = -3*s**5 - 3*s**4 + 13*s + 3. Let n(l) = 3*t(l) - u(l). Find the second derivative of n(i) wrt i.
60*i**3
Let a(l) be the third derivative of l**8/112 + l**4/8 - 9*l**2. What is the second derivative of a(t) wrt t?
60*t**3
Let q(r) = -24*r**3 + 21*r**2 - 7*r - 7. Let m(t) = -12*t**3 + 10*t**2 - 3*t - 3. Let y(u) = -7*m(u) + 3*q(u). What is the third derivative of y(i) wrt i?
72
What is the third derivative of 5*w + 4382*w**2 - 58*w**5 + 19*w**5 - 4387*w**2 wrt w?
-2340*w**2
Let z be (5 + -1)/2*2. Find the first derivative of -z - g**2 + 0*g**2 + 2*g**2 wrt g.
2*g
Let k be -2*(1 - (3 - 4)). Let y(h) = h**3 + 6*h - 4. Let t(p) = -p**3 - 6*p + 5. Let a(z) = k*t(z) - 5*y(z). What is the second derivative of a(d) wrt d?
-6*d
Let n(i) = -6*i**5 - 5*i**4 - 8*i + 5. Let o(h) = -5*h**5 - 4*h**4 - 7*h + 4. Let r(a) = -4*n(a) + 5*o(a). Find the second derivative of r(y) wrt y.
-20*y**3
Let f(k) be the first derivative of 5*k**6 - 6*k**3 - 14. Find the third derivative of f(b) wrt b.
1800*b**2
Suppose 4*q = 2*i, -2*q + 3 = -1. Find the third derivative of 6*x**2 + 7*x**6 - i*x**6 + 4*x**2 wrt x.
360*x**3
Let v(t) be the second derivative of 0*t**5 + 0*t**2 + 0 - 1/3*t**3 + 1/15*t**6 - 2*t + 0*t**4. Find the second derivative of v(h) wrt h.
24*h**2
Let v(p) be the third derivative of -p**8/28 + p**5/10 - 2*p**2. Find the third derivative of v(g) wrt g.
-720*g**2
What is the derivative of 4*q**4 + 0*q**4 + 20 - 27*q**4 wrt q?
-92*q**3
What is the first derivative of -3 + 0*g + g - 2 - 4*g wrt g?
-3
Suppose -m + 16 = 3*m. Suppose 0 = 2*g - 2*o - 10, 5 = -3*g - m*o - 1. Differentiate -g + 2*h**2 + 7 - 6 with respect to h.
4*h
Let t be (-4)/(-6) - 2/(-6). Suppose 2*j + t - 3 = 0. Differentiate d**3 + j + d**3 + 0*d**3 with respect to d.
6*d**2
Let h(t) = 15*t**2 + 18*t - 17. Let b(l) = -l**2 - l + 1. Let w(i) = 102*b(i) + 6*h(i). Find the second derivative of w(k) wrt k.
-24
Suppose -c = -5 + 3. Find the third derivative of 11*s**2 + 0*s**6 - 7*s**c + 2*s**6 wrt s.
240*s**3
Let k(h) be the second derivative of 0*h**3 + 0 - 5/12*h**4 - 4*h + 0*h**2 + 0*h**5 + 0*h**7 + 0*h**6 + 1/7*h**8. Find the third derivative of k(s) wrt s.
960*s**3
Let u(p) = -5*p**2 + 225. Let r(g) = -g**2 + 32. Let o(b) = -15*r(b) + 2*u(b). What is the first derivative of o(a) wrt a?
10*a
Let m(x) = -x**4 - x**3 - x**2 - x - 1. Let k(n) = 15*n**4 - 6*n**3 - 19*n**2 - 6*n - 6. Let p(j) = -k(j) + 6*m(j). What is the third derivative of p(o) wrt o?
-504*o
Differentiate -10*l**2 + 7 - 7 + 7 with respect to l.
-20*l
Let x(l) be the first derivative of -3*l**2/2 - 3*l - 2. Let g(j) = j + 1. Let y(h) = -7*g(h) - 2*x(h). What is the derivative of y(b) wrt b?
-1
Let a(k) = k**6 + k**4 - k**3. Let q(d) = -8*d**6 - 3*d**4 + 6*d**3 + d**2 + 19. Let g(y) = 6*a(y) + q(y). What is the third derivative of g(n) wrt n?
-240*n**3 + 72*n
Let c be 29/1 - 4/(-2). Find the third derivative of c*i - 4*i**3 - 2*i**2 - 31*i wrt i.
-24
Let f(x) be the second derivative of x**5/30 + x**4/24 + x**2/2 - x. Let h(l) be the first derivative of f(l). What is the second derivative of h(v) wrt v?
4
Let d(z) be the second derivative of 0*z**5 + 0*z**3 + 0*z**4 - 5*z**2 - 4/15*z**6 - 8*z + 0. What is the first derivative of d(i) wrt i?
-32*i**3
Suppose -7*l = -3*l - 4. What is the derivative of -2*k - 5*k - l - 2*k + 3*k wrt k?
-6
Let k(b) be the first derivative of b**6/6 - b**4/12 - 4*b - 5. Let g(a) be the first derivative of k(a). Find the third derivative of g(s) wrt s.
120*s
Let r(l) = 9*l**3 + 7*l + 13. Let w(z) = 5*z**3 + 4*z + 7. Suppose -6*y + 3*y - 21 = 0. Let k(g) = y*w(g) + 4*r(g). What is the derivative of k(f) wrt f?
3*f**2
Let h(f) = -f**3 - 12*f**2 + 14*f + 16. Let j be h(-13). Find the second derivative of -23*w + 19*w - w**3 - j*w**3 wrt w.
-24*w
Let c(b) be the third derivative of b**6/12 + 11*b**4/24 + 18*b**2. What is the second derivative of c(a) wrt a?
60*a
Let j be ((-11)/3 + 1)*-3. Suppose 2*s = -2*w + j, 0 = -5*s + 2*w - 4*w + 14. What is the third derivative of r**4 + 2*r**2 - r**s + 0*r**2 wrt r?
24*r
Let p(t) be the second derivative of t**7/42 - 4*t**6/15 - 35*t**4/12 - 11*t + 2. What is the third derivative of p(i) wrt i?
60*i**2 - 192*i
Let c(d) = -d**2 - 6*d - 3. Let m be c(-5). Find the second derivative of -4*a**4 - a**m + a**2 - 3*a wrt a.
-48*a**2
Let w(l) = 48*l. Let r be w(-2). Let c be r/(-44) - 2/11. Find the third derivative of -n**c + n - 2*n**4 - n wrt n.
-48*n
Let r(x) be the second derivative of 1/6*x**3 + 6*x + 0*x**4 + 0*x**2 + 0 + 1/5*x**5. What is the second derivative of r(b) wrt b?
24*b
Let d = 2 + -4. Let w be d/(-2*(-3)/(-9)). What is the third derivative of -3 - j**5 - j**2 + w wrt j?
-60*j**2
Differentiate -9*x**2 - 17 + 2 + 4*x**2 wrt x.
-10*x
Find the first derivative of -4*s**2 + 3*s**2 - 15*s**2 + 37 - s**2 wrt s.
-34*s
What is the third derivative of 2*i**5 - 4*i**2 + 2*i**5 - i**5 + 0*i**5 wrt i?
180*i**2
Let i = -2 - -4. Find the second derivative of -4*s**3 + 26*s**i - s - 26*s**2 wrt s.
-24*s
Find the third derivative of 20*t**6 - 20*t**2 + 0*t**2 + 32*t**6 - 20*t**6 wrt t.
3840*t**3
Let g(i) be the third derivative of 0*i + 0 - 2*i**2 - 1/60*i**5 + 1/6*i**3 + 1/24*i**4. Let f(j) be the first derivative of g(j). Differentiate f(h) wrt h.
-2
Differentiate 0 + 6 + 3 - i - 1 wrt i.
-1
Let f(h) = h**2 - 3*h + 4. Let m be f(3). Suppose 3*p = 2*b - 2*p - 16, 3*p = -m*b + 6. Find the third derivative of b*j**2 - 5*j**2 + 3*j**2 + 2*j**5 wrt j.
120*j**2
Suppose 0 = -5*q + 15, -3*q + 2 + 1 = -3*g. Suppose -g = s - 2*s. What is the first derivative of 3*t + s - t - 4*t wrt t?
-2
Let v(i) = i**4 + i**3 - i - 1. Let z(j) = 133*j**4 + 114*j**3 + 38*j**2 - 114*j - 114. Let t(p) = -114*v(p) + z(p). What is the third derivative of t(o) wrt o?
456*o
Let c(g) be the first derivative of -8*g**7/7 - 2*g**3/3 + 2. Find the third derivative of c(t) wrt t.
-960*t**3
Suppose -3*z + 0 + 6 = 0. Find the second derivative of 3*t**z - 2 - t + 2 + 0*t wrt t.
6
What is the third derivative of -21*t**2 + 75*t - 41*t**4 - 10*t**2 - 75*t wrt t?
-984*t
Let b(x) be the second derivative of 0*x**5 + 0 + 0*x**2 + 1/6*x**4 + 0*x**3 - 7*x + 1/30*x**6. Find the third derivative of b(l) wrt l.
24*l
Let v(z) be the third derivative of -z**7/21 + z**5/20 + 9*z**2. What is the third derivative of v(a) wrt a?
-240*a
Let h(b) be the second derivative of -23*b**5/20 + 17*b**4/12 - 17*b. What is the third derivative of h(v) wrt v?
-138
Find the second derivative of -f**3 + 5*f**3 + 5*f - f**3 + 6*f wrt f.
18*f
Let y be ((-6)/(-2))/((-2)/(-4)). Let i be 3/(4/(32/y)). Differentiate -s**4 - s**i - 3 + 1 with respect to s.
-8*s**3
Find the second derivative of -29*h + 32*h - 4*h**5 + 15*h - 6*h**5 wrt h.
-200*h**3
Find the second derivative of 9*z**2 + 11*z**2 + 18*z**3 - 20*z**2 + 19*z wrt z.
108*z
Let y(s) be the second derivative of -s**5/20 + 5*s**3/6 - 2*s. What is the second derivative of y(k) wrt k?
-6*k
Let u(r) = -r + 3. Let i be u(-7). Let f(q) = q + 17. Let v be f(-14). Find the second derivative of 0*c**v - 7*c**5 + 0*c**3 + 4*c + i*c**5 wrt c.
60*c**3
Let c = -8 - -12. Let w(q) = -4*q**2 + 2*q + 3. Let j(i) = -5*i**2 + 3*i + 4. Let o(f) = c*w(f) - 3*j(f). Find the second derivative of o(t) wrt t.
-2
Let s(t) = -4*t**3 + 2*t**2 - 8*t. Let m(f) = f**3 - f**2. Let k(u) = -2*m(u) - s(u). What is the second derivative of k(q) wrt q?
12*q
Let s(b) be the second derivative of b**7/6 + 13*b**4/12 - 4*b. What is the third derivative of s(h) wrt h?
420*h**2
Let n(t) be the second derivative of 9*t**8/56 + 5*t**4/6 - 3*t. Find the third derivative of n(f) wrt f.
1080*f**3
Suppose -2*s + a + 10 = 0, 5*a + 2 = -3*s + 4. What is the second derivative of -9 +
|
{
"pile_set_name": "DM Mathematics"
}
|
9 rounded to the nearest 10?
340
What is -304756.088 rounded to the nearest one hundred?
-304800
Round -13485374.7 to the nearest 10000.
-13490000
What is 831613783 rounded to the nearest 1000000?
832000000
Round -4086444.61 to the nearest 100000.
-4100000
Round 0.00012565482988 to five dps.
0.00013
What is -0.000000511741248 rounded to 7 decimal places?
-0.0000005
Round -487671.679 to the nearest one thousand.
-488000
What is -30.45921949 rounded to two dps?
-30.46
What is 14464.6221 rounded to the nearest 10?
14460
What is 142026668 rounded to the nearest 10000?
142030000
Round -60.06453706 to three dps.
-60.065
Round 44.8469386 to 0 decimal places.
45
What is 0.034578467 rounded to 5 decimal places?
0.03458
Round -12431531.3 to the nearest ten thousand.
-12430000
What is -3060.25037 rounded to the nearest integer?
-3060
What is -412355.49 rounded to the nearest ten thousand?
-410000
What is -172.85748 rounded to the nearest integer?
-173
Round -0.27402024 to three dps.
-0.274
What is 6.76125158 rounded to 3 decimal places?
6.761
What is -4955198.9 rounded to the nearest one hundred thousand?
-5000000
Round 19636994.87 to the nearest 10000.
19640000
Round 5.485666443 to 2 decimal places.
5.49
Round -45357498.12 to the nearest ten thousand.
-45360000
What is -3699.217752 rounded to the nearest ten?
-3700
What is 18.5676238 rounded to three dps?
18.568
What is 0.000004032156518 rounded to 7 decimal places?
0.000004
What is -0.05679544209 rounded to 4 dps?
-0.0568
Round 18.54568667 to 3 dps.
18.546
What is 1089.045486 rounded to 1 decimal place?
1089
Round 2595.96871 to 0 decimal places.
2596
What is 0.0000930396666 rounded to 6 decimal places?
0.000093
Round 2.17953514 to 3 decimal places.
2.18
Round -0.4908710633 to three dps.
-0.491
Round -272010.67 to the nearest 100.
-272000
What is -21827163.4 rounded to the nearest 1000000?
-22000000
Round 9099984.6 to the nearest 10000.
9100000
What is -472.8829213 rounded to 2 dps?
-472.88
Round -2752.547958 to one decimal place.
-2752.5
Round 1.8166221 to the nearest integer.
2
Round -11383948.56 to the nearest one million.
-11000000
Round 3.10329879 to 1 dp.
3.1
Round -105066933.7 to the nearest 10000.
-105070000
What is -0.0140541563 rounded to 6 decimal places?
-0.014054
What is -0.10823409778 rounded to two dps?
-0.11
Round -54467.3544 to the nearest ten thousand.
-50000
Round -114.46927 to the nearest integer.
-114
What is 0.0000196772302 rounded to seven dps?
0.0000197
Round 16.67952923 to 2 decimal places.
16.68
What is 13.84902769 rounded to the nearest integer?
14
What is 0.0001359391 rounded to three dps?
0
Round -51332.285 to the nearest 1000.
-51000
Round 87.9891213 to the nearest 10.
90
What is -5127.908027 rounded to the nearest one hundred?
-5100
Round -64.16269693 to 2 dps.
-64.16
What is 28038.560972 rounded to the nearest 10?
28040
Round 1471.36421 to the nearest integer.
1471
What is 5.37294943 rounded to three decimal places?
5.373
Round 0.000084968411 to 6 dps.
0.000085
What is 45131.0526 rounded to the nearest 1000?
45000
Round 1.03889965 to 2 dps.
1.04
Round 1842.52272 to the nearest 10.
1840
Round 282704335 to the nearest one million.
283000000
What is 0.000413505125 rounded to seven decimal places?
0.0004135
What is -0.00023284322 rounded to four decimal places?
-0.0002
What is 24.45801291 rounded to one dp?
24.5
What is 0.00777469989 rounded to five decimal places?
0.00777
What is -216.64976 rounded to the nearest one hundred?
-200
What is 0.0000141830825 rounded to seven dps?
0.0000142
What is 327489.6513 rounded to the nearest one thousand?
327000
Round 463.412776 to 1 decimal place.
463.4
Round 450681.44 to the nearest 10000.
450000
What is 0.0188738093 rounded to three dps?
0.019
Round -0.00010173803837 to five decimal places.
-0.0001
What is 0.021171425 rounded to 5 decimal places?
0.02117
What is 2754.49373 rounded to the nearest 10?
2750
Round 1540.531458 to the nearest one hundred.
1500
Round -0.0857906142 to three decimal places.
-0.086
What is -529.3640441 rounded to the nearest one hundred?
-500
What is 0.1169751877 rounded to 2 dps?
0.12
Round -72.590561 to zero dps.
-73
Round -119594718500 to the nearest 1000000.
-119595000000
Round 21429.01373 to 0 dps.
21429
Round -0.00340952491 to 4 decimal places.
-0.0034
Round -1129.2933637 to two decimal places.
-1129.29
Round -86831111.8 to the nearest 1000000.
-87000000
Round 1.290867153 to 1 dp.
1.3
What is 0.00000207884486 rounded to six dps?
0.000002
What is -0.00103579178 rounded to seven dps?
-0.0010358
What is 0.1322546152 rounded to 3 decimal places?
0.132
Round 237082605.6 to the nearest one hundred thousand.
237100000
What is 84.9086139 rounded to 0 dps?
85
Round 0.33965745 to four dps.
0.3397
What is 5402146.4 rounded to the nearest one hundred thousand?
5400000
What is -378518.791 rounded to the nearest ten?
-378520
What is 0.00050981496 rounded to 4 dps?
0.0005
Round -6250.31995 to the nearest integer.
-6250
What is -0.003724349035 rounded to seven dps?
-0.0037243
Round 0.000223958681 to 6 dps.
0.000224
Round 6.402293 to two dps.
6.4
What is -929.812289 rounded to the nearest 100?
-900
Round -6.41185475 to 3 dps.
-6.412
Round -348318.49 to the nearest ten thousand.
-350000
What is -0.770391453 rounded to two decimal places?
-0.77
What is 0.00249488367 rounded to four decimal places?
0.0025
What is -819.09024 rounded to the nearest ten?
-820
Round -920727.688 to the nearest ten thousand.
-920000
Round 18.51756 to one dp.
18.5
Round 0.00291734534 to four dps.
0.0029
Round -1335.3198 to the nearest integer.
-1335
What is 0.5500803954 rounded to two decimal places?
0.55
Round 989.35653 to the nearest 100.
1000
Round 358.0750376 to the nearest ten.
360
Round -199.1011557 to one decimal place.
-199.1
What is -2548.47217 rounded to the nearest integer?
-2548
What is -0.0029359954 rounded to six decimal places?
-0.002936
What is -845770.928 rounded to the nearest 100?
-845800
What is 0.00057870086 rounded to five dps?
0.00058
Round 0.00274233576 to 4 decimal places.
0.0027
Round -73443242.56 to the nearest 1000.
-73443000
What is -52.0406 rounded to the nearest ten?
-50
What is -12.2850744 rounded to zero decimal places?
-12
What is 0.004726792981 rounded to five decimal places?
0.00473
What is 0.0075951434 rounded to 6 dps?
0.007595
What is -4611.02017 rounded to the nearest one thousand?
-5000
Round 119.922515 to zero dps.
120
What is 0.170255145 rounded to 5 decimal places?
0.17026
What is -0.336540782 rounded to four dps?
-0.3365
What is 0.4986059 rounded to 3 decimal places?
0.499
Round 0.00552889199 to five decimal places.
0.00553
What is 17503591.827 rounded to the nearest 100?
17503600
Round -665750.64 to the nearest 100000.
-700000
Round -21711589250 to the nearest 1000000.
-21712000000
Round -31094342 to the nearest one million.
-31000000
What is 1880.868 rounded to the nearest ten?
1880
Round 71923010 to the nearest one hundred thousand.
71900000
What is -638798833.6 rounded to the nearest 100000?
-638800000
Round -2080.49617 to 1 dp.
-2080.5
Round 491.4917675 to the nearest ten.
490
Round 0.000377809006 to 6 dps.
0.000378
Round 0.00555543353 to six decimal places.
0.005555
Round -0.03300191 to five dps.
-0.033
Round 5.1548779 to 2 dps.
5.15
Round 0.00137851798 to 5 decimal places.
0.00138
Round -0.00444747904 to 3 dps.
-0.004
What is -36.4274 rounded to 0 dps?
-36
Round 127454.2354 to the nearest one hundred.
127500
What is -0.0709351015 rounded to 6 dps?
-0.070935
What is 8691824100 rounded to the nearest one million?
8692000000
What is 70.8153098 rounded to two dps?
70.82
Round 0.100007438 to two decimal places.
0.1
Round -42935249.7 to the nearest one hundred thousand.
-42900000
What is -0.241614518 rounded to 5 decimal places?
-0.24161
Round 0.00021341613 to 4 dps.
0.0002
What is -0.00060336078 rounded to seven dps?
-0.0006034
What is -54949.3612 rounded to the nearest integer?
-54949
What is -6824544.49 rounded to the nearest 100000?
-6800000
Round 0.169794426 to three decimal places.
0.17
What is 1.816212518 rounded to three decimal places?
1.816
Round 0.0000033756059 to six dps.
0.000003
Round -167.1477777 to zero decimal places.
-167
Round -27509733 to the nearest 1000000.
-28000000
What is 0.
|
{
"pile_set_name": "DM Mathematics"
}
|
2, to the nearest integer?
1776
What is 477609 to the power of 1/4, to the nearest integer?
26
What is 4483836 to the power of 1/2, to the nearest integer?
2118
What is 3487173 to the power of 1/2, to the nearest integer?
1867
What is the cube root of 3126800 to the nearest integer?
146
What is 4216609 to the power of 1/2, to the nearest integer?
2053
What is 8697812 to the power of 1/2, to the nearest integer?
2949
What is the sixth root of 114486 to the nearest integer?
7
What is the third root of 37033 to the nearest integer?
33
What is 17939852 to the power of 1/9, to the nearest integer?
6
What is the cube root of 1503477 to the nearest integer?
115
What is the square root of 231144 to the nearest integer?
481
What is 9896339 to the power of 1/4, to the nearest integer?
56
What is 189892 to the power of 1/2, to the nearest integer?
436
What is the third root of 586765 to the nearest integer?
84
What is the cube root of 49049 to the nearest integer?
37
What is the fourth root of 839404 to the nearest integer?
30
What is 38455 to the power of 1/6, to the nearest integer?
6
What is the square root of 1484343 to the nearest integer?
1218
What is 2844188 to the power of 1/8, to the nearest integer?
6
What is 718912 to the power of 1/2, to the nearest integer?
848
What is the eighth root of 36609 to the nearest integer?
4
What is 11216 to the power of 1/3, to the nearest integer?
22
What is the cube root of 3242058 to the nearest integer?
148
What is the square root of 246847 to the nearest integer?
497
What is the third root of 27269 to the nearest integer?
30
What is 3118055 to the power of 1/4, to the nearest integer?
42
What is the tenth root of 4778223 to the nearest integer?
5
What is the third root of 4959364 to the nearest integer?
171
What is the square root of 19821738 to the nearest integer?
4452
What is 98378 to the power of 1/2, to the nearest integer?
314
What is the third root of 102635 to the nearest integer?
47
What is the third root of 3989876 to the nearest integer?
159
What is the cube root of 2480463 to the nearest integer?
135
What is the eighth root of 10627437 to the nearest integer?
8
What is the third root of 10429559 to the nearest integer?
218
What is the seventh root of 15214058 to the nearest integer?
11
What is the third root of 198427 to the nearest integer?
58
What is the sixth root of 577787 to the nearest integer?
9
What is the third root of 5028583 to the nearest integer?
171
What is 2836818 to the power of 1/5, to the nearest integer?
20
What is 7142212 to the power of 1/9, to the nearest integer?
6
What is the cube root of 596713 to the nearest integer?
84
What is the cube root of 13353410 to the nearest integer?
237
What is 6698558 to the power of 1/6, to the nearest integer?
14
What is the square root of 652856 to the nearest integer?
808
What is 10794169 to the power of 1/9, to the nearest integer?
6
What is 3268870 to the power of 1/3, to the nearest integer?
148
What is 4172938 to the power of 1/2, to the nearest integer?
2043
What is the square root of 2749686 to the nearest integer?
1658
What is 2472712 to the power of 1/6, to the nearest integer?
12
What is 8980868 to the power of 1/3, to the nearest integer?
208
What is 118529 to the power of 1/8, to the nearest integer?
4
What is the third root of 23293909 to the nearest integer?
286
What is 1104680 to the power of 1/10, to the nearest integer?
4
What is the third root of 18697463 to the nearest integer?
265
What is the third root of 56761 to the nearest integer?
38
What is 2024869 to the power of 1/5, to the nearest integer?
18
What is the square root of 15629299 to the nearest integer?
3953
What is the cube root of 10910489 to the nearest integer?
222
What is the cube root of 17345 to the nearest integer?
26
What is 1509900 to the power of 1/5, to the nearest integer?
17
What is 429815 to the power of 1/2, to the nearest integer?
656
What is 4336415 to the power of 1/2, to the nearest integer?
2082
What is 275446 to the power of 1/2, to the nearest integer?
525
What is the third root of 170211 to the nearest integer?
55
What is the square root of 10605809 to the nearest integer?
3257
What is the square root of 614664 to the nearest integer?
784
What is 185225 to the power of 1/6, to the nearest integer?
8
What is 29718861 to the power of 1/7, to the nearest integer?
12
What is the third root of 12141552 to the nearest integer?
230
What is the square root of 165972 to the nearest integer?
407
What is the seventh root of 1239631 to the nearest integer?
7
What is the square root of 42740 to the nearest integer?
207
What is 2654484 to the power of 1/3, to the nearest integer?
138
What is 7728 to the power of 1/2, to the nearest integer?
88
What is 64909 to the power of 1/3, to the nearest integer?
40
What is the square root of 439746 to the nearest integer?
663
What is the square root of 3080905 to the nearest integer?
1755
What is the cube root of 169614 to the nearest integer?
55
What is the tenth root of 7281538 to the nearest integer?
5
What is 6914685 to the power of 1/10, to the nearest integer?
5
What is 932958 to the power of 1/2, to the nearest integer?
966
What is the third root of 264682 to the nearest integer?
64
What is 5831354 to the power of 1/8, to the nearest integer?
7
What is 2857353 to the power of 1/5, to the nearest integer?
20
What is the fourth root of 221819 to the nearest integer?
22
What is the eighth root of 1475245 to the nearest integer?
6
What is the cube root of 13928 to the nearest integer?
24
What is the eighth root of 2258042 to the nearest integer?
6
What is the ninth root of 5225464 to the nearest integer?
6
What is the square root of 19979530 to the nearest integer?
4470
What is 225788 to the power of 1/9, to the nearest integer?
4
What is 294205 to the power of 1/3, to the nearest integer?
67
What is 24515 to the power of 1/2, to the nearest integer?
157
What is 8647441 to the power of 1/3, to the nearest integer?
205
What is the fifth root of 823615 to the nearest integer?
15
What is the cube root of 329331 to the nearest integer?
69
What is the fifth root of 765598 to the nearest integer?
15
What is 9470946 to the power of 1/6, to the nearest integer?
15
What is 1862547 to the power of 1/2, to the nearest integer?
1365
What is 828306 to the power of 1/10, to the nearest integer?
4
What is the square root of 650834 to the nearest integer?
807
What is the cube root of 26983505 to the nearest integer?
300
What is the cube root of 15808272 to the nearest integer?
251
What is 5170108 to the power of 1/2, to the nearest integer?
2274
What is the fourth root of 1749647 to the nearest integer?
36
What is 164219 to the power of 1/2, to the nearest integer?
405
What is the square root of 3466763 to the nearest integer?
1862
What is 175724 to the power of 1/2, to the nearest integer?
419
What is the third root of 354015 to the nearest integer?
71
What is the cube root of 4074334 to the nearest integer?
160
What is the tenth root of 10801686 to the nearest integer?
5
What is the square root of 577325 to the nearest integer?
760
What is the cube root of 705187 to the nearest integer?
89
What is 1711121 to the power of 1/3, to the nearest integer?
120
What is 12704 to the power of 1/4, to the nearest integer?
11
What is the square root of 272468 to the nearest integer?
522
What is 79273 to the power of 1/9, to the nearest integer?
4
What is the ninth root of 625127 to the nearest integer?
4
What is the cube root of 839877 to the nearest integer?
94
What is 378106 to the power of 1/10, to the nearest integer?
4
What is 1103589 to the power of 1/2, to the nearest integer?
1051
What is the square root of 2096861 to the nearest integer?
1448
What is the square root of 555308 to the nearest integer?
745
What is the third root of 34575428 to the nearest integer?
326
What is 162686 to the power of 1/2, to the nearest integer?
403
What is the sixth root of 38265254 to the nearest integer?
18
What is 7066392 to the power of 1/2, to the nearest integer?
2658
What is the square root of 1009812 to the nearest integer?
1005
What is 7659095 to the power of 1/7, to the nearest integer?
10
What is 6422305 to the power of 1/5, to the
|
{
"pile_set_name": "DM Mathematics"
}
|
13)/(q*q**(2/55)) assuming q is positive.
q**(-772/55)
Simplify ((w/(w**8*w))/w*w*w**(-4/11)*w*w)**(-34) assuming w is positive.
w**(2380/11)
Simplify (q*q/q**(2/47))**(1/16) assuming q is positive.
q**(23/188)
Simplify (t**3/(t*t/(t/t**6*t)))/(t/(t/t**(-1)))**(10/11) assuming t is positive.
t**(-23/11)
Simplify (s**4/(s*s*s**(-1/2)))/(s**(-3/5)/s**(1/5)) assuming s is positive.
s**(33/10)
Simplify ((y/y**5*y)/(y*y*y**(-5)*y*y))/(y*y*y*y*y**(-2)*y*y/(y*y/y**(-2/9))) assuming y is positive.
y**(-34/9)
Simplify (d**(-1/3)/(d**6/d))/(d/(d*d**(-2/3)))**(-6/35) assuming d is positive.
d**(-548/105)
Simplify ((o*o*o/(o*o*o**(13/4)*o)*o*o)/o*o**8)**(3/8) assuming o is positive.
o**(69/32)
Simplify (x*x**(-38))**(2/73) assuming x is positive.
x**(-74/73)
Simplify ((o*o**(-3))**(2/125))**(-6/11) assuming o is positive.
o**(24/1375)
Simplify z/z**0*(z*z**9*z)/z assuming z is positive.
z**11
Simplify z*z*z**(2/5)*z**(-8/3)*z**(1/9)/((z/(z*z/z**(-8)))/z*z*z*z) assuming z is positive.
z**(308/45)
Simplify ((w/((w/((w*w/(w/(w*w*w*w**(-7)*w)*w))/w))/w))/(w*w*(w*w/w**(6/5))/w))**(10/3) assuming w is positive.
w**(-16)
Simplify v/v**16*v*(v*v**20*v)/v*v assuming v is positive.
v**8
Simplify ((f*f*f/f**(1/6))/f)/(f/((f*f**2*f*f)/f)*f)*f/(f**(1/4)/f*f)*f/f**(4/7) assuming f is positive.
f**(421/84)
Simplify q**6*q*q/(q**(7/3)/q*q)*q*q*q*q/(q*q*q/q**(8/5))*q/q**(-4) assuming q is positive.
q**(199/15)
Simplify (v/v**(5/11))/v*v*v/(v*v/(v/v**(-22))*v) assuming v is positive.
v**(237/11)
Simplify ((a**(2/11))**(-2/3))**(-3/31) assuming a is positive.
a**(4/341)
Simplify (h**14)**(-3/2) assuming h is positive.
h**(-21)
Simplify (x**(-1/4)*x**(4/7))/(x**(1/8)/x**(-6)) assuming x is positive.
x**(-325/56)
Simplify (n**(-3)/(n**(-3)*n))**21 assuming n is positive.
n**(-21)
Simplify (g**(-2/7))**(-5/8)*(g*g**(2/15)*g)/(g*g/(g**(-2/9)*g*g)) assuming g is positive.
g**(2633/1260)
Simplify z/z**(-5/4)*z**(5/4) assuming z is positive.
z**(7/2)
Simplify (j**(4/5)*j*j/(j/j**3)*j)/(j**(-2/5))**(-41) assuming j is positive.
j**(-53/5)
Simplify (i**9/(i/i**(-7/3)))/(i/i**5*i/i**(2/7)) assuming i is positive.
i**(188/21)
Simplify u*u**(2/15)*u**(5/3)*u assuming u is positive.
u**(19/5)
Simplify (w*w**1)**29/((w*w**(1/7))/(w/w**(-3/10))) assuming w is positive.
w**(4071/70)
Simplify ((x*(x*x**18/x*x)/x*x)/x)/(x**(-7/4)/x) assuming x is positive.
x**(87/4)
Simplify (q**0)**0*q**(-3/4)/q*q/q**(-2/15) assuming q is positive.
q**(-37/60)
Simplify ((c*c/(((c*c**4/c)/c)/c))/(c*c/c**(-1/2)*c))**(-21) assuming c is positive.
c**(147/2)
Simplify ((t**(-3/2))**38)**(-4/21) assuming t is positive.
t**(76/7)
Simplify (h**(2/7))**(-1/12)/(h**(1/5)/h)**(3/2) assuming h is positive.
h**(247/210)
Simplify o**(2/21)*o/o**(-10/11) assuming o is positive.
o**(463/231)
Simplify (o**1/o*o)**(-8)/(o/(o**(-6)*o)*o/(o/o**(-2/5)*o)) assuming o is positive.
o**(-63/5)
Simplify ((d*d**(-4)/d)/d*d)**6 assuming d is positive.
d**(-24)
Simplify (u/(u**2/u))**(-31)*u/u**(5/4)*u**(1/2) assuming u is positive.
u**(1/4)
Simplify ((f*(f**(1/6)*f)/f)/f**(-1))/(f*f/f**(-8)*f**(3/5)) assuming f is positive.
f**(-253/30)
Simplify (h*h/(h/(h*h/h**(-2)*h)))/h*h*h**(-28) assuming h is positive.
h**(-22)
Simplify (l**(-2/15)*l**(2/19))**41 assuming l is positive.
l**(-328/285)
Simplify ((v*v**(-1/4))/(v*v/v**(1/4)*v))**(-24) assuming v is positive.
v**48
Simplify o**(-1/2)*(o**34/o)/o assuming o is positive.
o**(63/2)
Simplify (h/h**(-2/7))**(2/85)/(h**2*h)**13 assuming h is positive.
h**(-23187/595)
Simplify v*v**(-2/11)*v*v**(-8) assuming v is positive.
v**(-68/11)
Simplify (((((w/(w/w**(-10)))/w)/w*w)/w)/(w*w*w**(-4/7)))/(w**0/(w*w/w**(-3))) assuming w is positive.
w**(-59/7)
Simplify (g/(g*g**7*g))/g**6 assuming g is positive.
g**(-14)
Simplify n/n**28*n**(-3/5) assuming n is positive.
n**(-138/5)
Simplify (o/o**(1/2))/((o**(-1/3)*o)/o) assuming o is positive.
o**(5/6)
Simplify (z**(-2))**30*z**(-8)*z/(z*(z**(2/5)/z)/z) assuming z is positive.
z**(-332/5)
Simplify (y**(-9))**34 assuming y is positive.
y**(-306)
Simplify n/n**(1/21)*(n**9/n)/n*(n/(n/((n*n/(n*((n**(-11)/n*n)/n)/n))/n)))/n**3 assuming n is positive.
n**(377/21)
Simplify (h**0)**(-3/5)/(h*h**(2/11)*h*h/(h/(((h/((h**(-1/8)/h)/h))/h)/h))) assuming h is positive.
h**(-291/88)
Simplify u**(-2)*u*u*u**(-2)*u*u**5*u**4*u*u*u assuming u is positive.
u**11
Simplify (g/(g*g/(g*g/g**(2/11))*g)*(g**5/g)/g)/(g**(-1))**(-7) assuming g is positive.
g**(-46/11)
Simplify (w**(-11))**38 assuming w is positive.
w**(-418)
Simplify (h/(h*h**0)*h)**(-1/4)*(h/h**(-2/7))**(-1/11) assuming h is positive.
h**(-113/308)
Simplify (t/((t**(-2/37)/t)/t*t))**(-1/7) assuming t is positive.
t**(-76/259)
Simplify n**(-9/7)/(n**17/n*n) assuming n is positive.
n**(-128/7)
Simplify (n**(-1/3)/n)**(-34) assuming n is positive.
n**(136/3)
Simplify (a**(-2/17)*a**0)/(a*a**(-5/4)*a*a*a**(-2/19)) assuming a is positive.
a**(-2277/1292)
Simplify (d*d/d**0*d)**41/((d*d/d**(2/7))/d)**32 assuming d is positive.
d**(701/7)
Simplify ((b**0)**(-9))**13 assuming b is positive.
1
Simplify (((d**(1/4)*d)/d)/(d**(-7)/d))**(-1/14) assuming d is positive.
d**(-33/56)
Simplify (i/i**(1/28))**(-36) assuming i is positive.
i**(-243/7)
Simplify ((f/(f/(f/(f**1*f))))**(1/6))**(-34) assuming f is positive.
f**(17/3)
Simplify v/(v*v*v/(v/v**(-5)))*v**(-1/4)*v/(v*v**(-8))*v**(-2/21) assuming v is positive.
v**(979/84)
Simplify ((s*s/(s*s**(-11)/s))/s)/(s/s**(-4)) assuming s is positive.
s**7
Simplify (b**(-2/9))**50*(b/(b/b**0))**(15/2) assuming b is positive.
b**(-100/9)
Simplify (h/(h**(2/17)*h))/(h**(-3/2)*h) assuming h is positive.
h**(13/34)
Simplify (d**6/(d/(d*d/d**(2/7))))/(d*(d*d**0*d)/d)**(-4/31) assuming d is positive.
d**(1513/217)
Simplify ((x*x/x**(-3))**(24/7))**(-2) assuming x is positive.
x**(-240/7)
Simplify z**(3/5)/z*(z/((z**3/z)/z)*z)/z*z/(z*z/(z**(-2)/z))*z*z/(z/z**(1/5)) assuming z is positive.
z**(-16/5)
Simplify (j**4)**(-3/4) assuming j is positive.
j**(-3)
Simplify (f**0)**(2/45)*f**(-6)*f**0 assuming f is positive.
f**(-6)
Simplify (n/(n*n*n**8*n))/(n*n/(n/(n**11*n*n))*n*n) assuming n is positive.
n**(-26)
Simplify (u**(-1))**(-2/15)*(u*u**2)/(u*u/(u/(u/(u/(u*u/u**1*u)*u)))) assuming u is positive.
u**(17/15)
Simplify ((h*h**(1/18))/h*h*h)/h**(-19) assuming h is positive.
h**(379/18)
Simplify (v**(-8))**36 assuming v is positive.
v**(-288)
Simplify (((a**(-14)*a)/a)/a**(-1/8))**(-1) assuming a is positive.
a**(111/8)
Simplify ((p/p**(-3))/p*p)/p**1 assuming p is positive.
p**3
Simplify ((j/j**(2/3))/(j/(j*j/((j/(j/j**(-2/7)*j))/j))))/(j**(-2/5)*j**(-2/9)) assuming j is positive.
j**(1336/315)
Simplify (v*v/v**(-1)*v*v*v*v)**(7/11)*(v*v**(-2/3))/(v*v/(v*v/(v*v**0))) assuming v is positive.
v**(125/33)
Simplify (q*q**(2/3))**(-46)/(q**(-1)*q/q**(1/2)) assuming q is positive.
q**(-457/6)
Simplify (y**7/(y*y**(-4)))/(y**0/y)**(-5/9) assuming y is positive.
y**(85/9)
Simplify (n**4/n)/n**(4/5)*n/(n*n**4)*n/(n*n*n**(-5)/n*n) assuming n is positive.
n**(11/5)
Simplify ((w**(-7/3)*w)/(w**13*w))**(-29) assuming w is positive.
w**(1334/3)
Simplify y/y**(2/3)*y*y*y*y**(-2/37) assuming y is positive.
y**(364/111)
Simplify (r**(3/2)/(r/r**(2/15)))/(r**1*r**(2/5)) assuming r is positive.
r**(-23/30)
Simplify q**(2/5)*q**1*(q**1)**(5/17) assuming q is positive.
q**(144/85)
Simplify (j*j**(1/7)/j)**(1/9) assuming j is positive.
j**(1/63)
Simplify (((k/(k**(-2/17)*k))/k)/((k/k**(-3))/k))**(-18) assuming k is positive.
k**(1188/17)
Simplify (w**2)**42/(w/(w**0*w))**(2/13) assuming w is positive.
w**84
Simplify (m/(m*((m*(m/(m*m/(m/m**(2/9))))/m*m)/m)/m)*(m**(-1/3)*m*m)/m)**46 assuming m is positive.
m**(782/9)
Simplify (o**8/o*o)**(-29/3) assuming o is positive.
o**(-232/3)
Simplify (((t/(t/((t/(t*t*t**4))/t)))/t)**(-23))**(-2/111) assuming t is positive.
t**(-322/111)
Simplify (c**(-14)*c)/((c/(c/c**(-6)))/c) assuming c is positive.
c**(-6)
Simplify (r**(-2))**(-10/17)*r*r**8*r*r**(6/11) assuming r is positive.
r**(2192/187)
Simplify r*r**(-11)*r**(-9)*r*r*r**(3/5)*r**(-4) assuming r is positive.
r**(-102/5)
Simplify (s/s**(-1))/(s/(s/((s/(s/s**(-25)))/s))) assuming s is positive.
s**28
Simplify a**(-6/5)*((a*a**(5/6))/a*a)/a*(a*a**(-1/4))/(a**2/a) assuming a is positive.
a**(-37/60)
Simplify j**15*j*
|
{
"pile_set_name": "DM Mathematics"
}
|
30. Let z = w + -2. Differentiate 5*t**2 - 2*t**z + 1 - 5*t**2 with respect to t.
-6*t**2
Suppose 0 = -3*n + 2*n + 1. Suppose -2*c - 4*h + 18 = 0, 2*c - 2*h - 7 = -n. What is the second derivative of -f**3 + f**3 + 2*f**5 + f**c + f wrt f?
60*f**3
Suppose 0 = 4*p - x - 12, -5*p - 1 + 25 = x. Find the third derivative of -b**2 - p*b**2 + b**2 + b**5 + 0*b**5 wrt b.
60*b**2
Let y(f) = -f**4 - f**2 - 1. Let i(x) = -6*x**4 + 3*x**2 + 7. Let s(q) = i(q) + 3*y(q). What is the derivative of s(c) wrt c?
-36*c**3
Let k = -9 + 13. What is the third derivative of -4*q**k + 1 + 7*q**4 - 1 - 3*q**2 wrt q?
72*q
Let s(o) = -o**3 - 4*o**2 - 2*o - 6. Let x be s(-4). What is the derivative of 6 + 2*t**x - 2*t**2 - 8 - 2*t**4 wrt t?
-8*t**3
Find the third derivative of 5*s**2 + 20*s**5 - 19*s**5 + 2*s**2 + 6*s**5 wrt s.
420*s**2
Suppose -5*n = -6*n. Let x(i) be the second derivative of n*i**2 + 0*i**4 - i + 0 + 1/6*i**3 - 3/20*i**5. Find the second derivative of x(y) wrt y.
-18*y
What is the third derivative of -6*g**3 - 6*g**3 + 26*g**2 + 20*g**2 - 10*g**3 wrt g?
-132
Suppose 4*p + 4*i - 24 = 0, -5*i = -5 - 5. Suppose 10 = w + p*w. Find the third derivative of 0*j**2 + 2*j**w - j**3 + 0*j**2 wrt j.
-6
Suppose -4*i + 5*j - 17 = 0, 0*i = 3*i + 5*j - 31. What is the second derivative of -11*p**2 - 2*p**5 - 2*p + 11*p**i wrt p?
-40*p**3
Let i(t) be the third derivative of t**6/360 - t**5/30 - t**4/24 + 2*t**2. Let p(b) be the second derivative of i(b). Differentiate p(y) wrt y.
2
Let y(c) be the second derivative of c**6/6 + c**3/2 - 6*c. Find the second derivative of y(r) wrt r.
60*r**2
Let o(v) be the first derivative of 11*v**4/4 - 5*v**2/2 + 4. Find the second derivative of o(p) wrt p.
66*p
Let x(o) = -4*o**2 + 3*o**3 + 4*o**4 - 6*o**3 + 7*o**3. Let p(m) = m**3 - m**2 - 1. Let n(q) = 4*p(q) - x(q). Differentiate n(z) wrt z.
-16*z**3
Suppose 5 = 6*z - z - o, -z + 3*o = -15. Suppose 3*p - 2*i - 14 = -2*p, z = -3*p + 4*i + 14. Find the first derivative of 2*s - 5*s**p + 6*s**2 - 2*s + 2 wrt s.
2*s
Suppose 2*g + b + 5 = 2, -5*g = -5*b - 30. Find the second derivative of -4*c + g - 2*c**2 + 3*c - 1 wrt c.
-4
Let g(v) = v**3 - 3*v**2 - 8. Let k(m) = 2*m**3 - 4*m**2 - 7. Let q(h) = -4*g(h) + 3*k(h). Find the first derivative of q(f) wrt f.
6*f**2
Let z(v) = v**2 - 4*v + 2. Let o be z(4). What is the third derivative of r**4 - o*r**2 - 2*r**2 + 2*r**4 + 0*r**2 wrt r?
72*r
What is the second derivative of -4*x**4 - 2*x + x**4 + 36*x + 2*x**4 wrt x?
-12*x**2
Let t = -234 - -584. Find the second derivative of t + 5*r - 9*r**2 - 350 wrt r.
-18
Find the first derivative of -3 + 5 - 10*s**2 + 2 wrt s.
-20*s
Let n = 14 + -12. Let g = -2 - -2. Differentiate m**2 + 2 - 2*m**n + g + 1 with respect to m.
-2*m
Let q(o) = o**3 - o**2 + o - 1. Let p(f) = -33*f**3 + 6*f**2 - 6*f - 32. Let a(x) = p(x) + 6*q(x). Differentiate a(l) wrt l.
-81*l**2
Let p(g) be the first derivative of 4*g**6 - 8*g**3 + 9. What is the third derivative of p(v) wrt v?
1440*v**2
Let a be 2 - (5 + 1) - -6. Let d = 4 - 1. Find the third derivative of f**3 - f**3 - d*f**a + 0*f**3 - 3*f**3 wrt f.
-18
Let v(f) be the third derivative of -5*f**5/12 + f**4/2 + 2*f**2. What is the second derivative of v(b) wrt b?
-50
Let v(c) = -42*c**4 - 4*c**3 - 4*c + 43. Let j(d) = 125*d**4 + 11*d**3 + 11*d - 129. Let l(b) = -4*j(b) - 11*v(b). What is the derivative of l(z) wrt z?
-152*z**3
Let k be (1 - (2 + 1))*-1. Suppose -t + 3*d + 14 = 0, 2*d + 32 = 3*t + 3*d. Find the third derivative of -t*a**2 + 8*a**k + 2*a**6 - 4*a**6 wrt a.
-240*a**3
Let h be 0 - (-1 + (0 - 1)). Let r(n) = 4*n**2 - n + 1. Let b be r(1). What is the second derivative of 6*w**4 + h*w - b*w - 5*w**4 wrt w?
12*w**2
Let y(t) = -t**3 + t**2 - t - 1. Let d(g) = 34*g**5 + g**3 + 2*g**2 + g + 5. Let f(p) = -d(p) - y(p). What is the third derivative of f(q) wrt q?
-2040*q**2
Suppose 4*g - 17 = 3*z, g - 5*g + 2*z + 18 = 0. What is the third derivative of -i**5 + 0*i**5 - 4*i**5 - 10*i**2 + g*i**2 wrt i?
-300*i**2
What is the second derivative of 22*n**3 - 36*n**3 - 12*n + 22*n**3 wrt n?
48*n
Let x(d) be the third derivative of d**6/720 + d**5/40 - d**4/12 + 2*d**2. Let r(n) be the second derivative of x(n). What is the derivative of r(c) wrt c?
1
Let t(d) = 12*d**4 + 5*d**3 + 5*d**2 + 3*d + 5. Let r(x) = -x**4 - x**3 - x**2 + x - 1. Let l(z) = -5*r(z) - t(z). Find the second derivative of l(b) wrt b.
-84*b**2
Let o be (-9)/(-15) - (-6)/(-10). Suppose d + 0*d - 3 = o. Differentiate 1 - u**4 - d - 2*u**4 - 1 with respect to u.
-12*u**3
Let z(d) be the second derivative of -d**10/2520 - d**6/360 + d**3 - d. Let o(l) be the second derivative of z(l). What is the third derivative of o(f) wrt f?
-240*f**3
Let y(s) = -4*s - 15. Let u(d) = 3*d + 19. Let c(b) = b + 6. Let h(w) = -14*c(w) + 4*u(w). Let v(k) = -11*h(k) + 6*y(k). What is the derivative of v(z) wrt z?
-2
Let q(g) = -19*g - 26. Let n(t) = 58*t + 77. Let y(c) = -2*n(c) - 7*q(c). Differentiate y(p) wrt p.
17
Let c(b) = 4*b - 5. Let q(i) = 3 - 15 + 8 + 3*i. Let k be ((1 - -1)/(-1))/(-1). Let y(z) = k*c(z) - 3*q(z). What is the first derivative of y(m) wrt m?
-1
Let g(j) = -13*j**2 + 5. Let c(u) be the first derivative of -7*u**3/3 + 3*u - 2. Let r(s) = -7*c(s) + 4*g(s). Differentiate r(a) wrt a.
-6*a
Let o(w) be the first derivative of -3*w**5/5 + w**3/3 + 7*w**2 + 73. Find the second derivative of o(y) wrt y.
-36*y**2 + 2
Suppose 0*x = 2*x - 12. Let u(l) be the second derivative of 0*l**4 + 0*l**2 - 1/6*l**3 + 0 - 1/15*l**x + 0*l**5 - l. Find the second derivative of u(y) wrt y.
-24*y**2
Differentiate -2 - s**2 - s**2 - 6*s**2 wrt s.
-16*s
Let i(t) = 12*t**3 + 6*t**2 - t - 1. Let m(z) = -z**3 + z + 1. Let r(d) = -i(d) - m(d). Find the third derivative of r(f) wrt f.
-66
Let c(v) = -75*v**3 - 73. Let y(m) = 25*m**3 + 24. Let h(x) = 3*c(x) + 8*y(x). Differentiate h(t) with respect to t.
-75*t**2
Let o(t) be the third derivative of t**8/6720 - t**7/560 - t**5/10 - 3*t**2. Let l(i) be the third derivative of o(i). Find the second derivative of l(w) wrt w.
6
Let t(j) be the third derivative of j**5/12 + j**4/12 + 8*j**2. What is the second derivative of t(d) wrt d?
10
Let q(c) be the first derivative of -2/3*c**6 + 0*c**3 + 0*c + 0*c**5 + 0*c**4 + 3 + c**2. What is the second derivative of q(y) wrt y?
-80*y**3
Let c be ((-1)/(-3))/(3/27). Let s(j) be the third derivative of 1/30*j**5 - 1/3*j**c - j**2 + 0 + 0*j**4 + 0*j. Find the first derivative of s(w) wrt w.
4*w
Suppose -3*u + 0*u = -9. Let w(j) be the first derivative of 0*j**u + 0*j**4 - 2*j - 2/5*j**5 + 0*j**2 + 1. Differentiate w(h) with respect to h.
-8*h**3
Let q(h) be the first derivative of -h**8/336 + h**4/8 - 8*h**3/3 - 7. Let t(a) be the third derivative of q(a). What is the first derivative of t(k) wrt k?
-20*k**3
Let x(c) be the second derivative of 4*c**5/5 + 11*c**2/2 - 2*c. Differentiate x(n) wrt n.
48*n**2
Let w(s) be the third derivative of -s**6/60 - 5*s**4/24 + 5*s**2. What is the second derivative of w(a) wrt a?
-12*a
Suppose 0 = 2*j - 18 + 6. What is the third derivative of 5*f**2 + 0*f**3 - j*f**2 - 6*f**3 wrt f?
-36
Find the first derivative of -9 - 3*v**2 - 285*v**4 + 271*v**4 + 3*v**2 wrt v.
-56*v**3
Let d = -10 - -16. Let m = -3 + d. What is the second derivative of -j**m - j + 3*j - j wrt j?
-6*j
Let f be (-32)/(-14) + 2/(-7). Let t(v) = -6*v**2. Let k(z) = -31*z**2 + 1. Let b(i) = f*k(i) - 11*t(i). Differentiate b(o) wrt o.
8*o
Let y(q) = 10*q + 5 - 1 + 3 + 2. Let v(l) = 9*l + 8. Let c(w) = -7*v(w) + 6*y(w). Differentiate c(b) wrt b.
-3
Find the second derivative of 462 - 462 + 7*m**4 - 6*m wrt m.
84*m**2
Let c(n) = -n**3 + 5*n**2 + 8*n - 6. Let z be c(6). Find the third derivative of x**2 - 17*x**z + 2*x**2 + 13*x**6 wrt x.
-480*x**3
What is the first derivative of -5*c**4 + 25 - 7 + 4*c**4 + 35*c**3 wrt c?
-4*c**3 + 105*c**2
Let f(v) = v**2. Let p(w) = w - 1. Let m(y) = 3*y**2 + y + 1. Let j(c) = 2*m(c) - 2*p(c). Let q(b) = -4*f(b) + j(b). What is the derivative of q(t) wrt t?
4*t
Let k(f) be the third derivative of -f**6/120 - f**5/60 - f**2. Find the third derivative of k(x) wrt x.
-6
What is the second derivative of 5*c + 239*c**2 - 3*c - 226*c**2 wrt c?
26
What is the third derivative of -13*k**4 + 3*k**3 + 0*k**3 - 4*k**2
|
{
"pile_set_name": "DM Mathematics"
}
|
form t*v + h + b*v**3 + d*v**2 and give b.
-10
Express (-4 + 3 + 4)*(2 + 7 - 3*c + 5*c) in the form k*c + f and give f.
27
Express -2 + 0 + 2 + 5*f in the form x + l*f and give l.
5
Rearrange (7*x**2 + 12*x - x - 11*x)*(-2*x**2 - 3*x**2 + 2*x**2) to the form s*x**3 + p*x**4 + j + u*x + z*x**2 and give p.
-21
Express (m + 0 + 0 - 2*m**2)*(-8*m**2 + 4*m**2 - 2*m**2) in the form u*m**4 + a + h*m**2 + l*m**3 + c*m and give u.
12
Express (4*o**2 - 4*o**2 - 2*o**2)*(2 + 2*o**2 - 2) + 20*o**4 - 24*o**3 + 24*o**3 as l*o**2 + n*o + k*o**4 + f + m*o**3 and give k.
16
Rearrange -6*p**3 + 38*p**3 + 8*p**3 + (-p**3 + p**3 - 2*p**3)*(6 - 1 - 4) to the form z*p**3 + n*p**2 + l + c*p and give c.
0
Rearrange (-3*o + 2*o + 3*o)*(o**3 - 3*o**3 + 4*o**3) + (19*o - 2*o**2 - 19*o)*(0 + 0 - o**2) to the form x*o**4 + z*o**2 + p*o + r + y*o**3 and give y.
0
Rearrange 0*r + 2*r**3 - 14*r - 9*r - r**3 to the form a + h*r + x*r**3 + q*r**2 and give h.
-23
Express 2*x**3 + 16 - 8*x - 6 + x**3 - 8 as q*x**2 + c*x + y*x**3 + j and give j.
2
Rearrange -f + f - 2*f + 6*f - f - 3*f + (-3*f - 3*f + 5*f)*(2 - 6 + 2) + 31*f - 80*f + 26*f - 4*f + 3*f - f to the form b + v*f and give v.
-23
Express -3*q + 12 - 14 + 1 in the form m + r*q and give m.
-1
Express (o + 0*o - 8*o + (1 + 3 - 3)*(o + 0*o + o))*(-3*o**3 + o**3 + 2*o + 0*o) - 34 + 34 + 3*o**4 as t*o**2 + j + z*o**3 + b*o**4 + u*o and give t.
-10
Rearrange (-121 + 37 + 52)*(-3*v - 8*v + 7*v) to d*v + o and give d.
128
Rearrange (-22 - 44 + 22)*(2*n**2 - 3*n**2 + 3*n**2) to t*n**2 + w + l*n and give w.
0
Express -2*c**3 - 43*c**4 + 42*c**4 + 2*c**2 + 1 - 1 as g*c**4 + o*c**3 + m + u*c + s*c**2 and give g.
-1
Express 10*z + 7*z + 5*z - 6*z in the form s*z + j and give j.
0
Rearrange (-2*u + 3*u - 2*u)*(13 - 2 + 30*u**2 - 10 + 2*u) to the form r*u**2 + z + h*u**3 + o*u and give h.
-30
Rearrange 24 - 26 - 3*x**4 - x**2 - x + 3*x to b*x + q*x**2 + r + w*x**3 + t*x**4 and give r.
-2
Express -2*w + w + 2*w - 1 - 6*w**3 + 2 in the form n*w**2 + j*w + f + a*w**3 and give f.
1
Express d**2 + 17*d**4 + 4 - 2*d**3 - 19*d**4 + 3*d - 6 as j*d**3 + s + b*d + y*d**2 + c*d**4 and give s.
-2
Express (-3 + 2 - 2 + (4 - 2 - 1)*(-6 + 4 + 4) + 3 + 0 - 5 + 1 - 3 + 0)*(-3*z + z + 0*z) as p*z + c and give p.
10
Express -4*g - 8*g + 0*g + 0*g - 2*g**3 + 3 + g**2 as y + b*g**3 + w*g**2 + d*g and give d.
-12
Rearrange -4 + 4 + 0*r**2 + 2*r**2 - 3*r to u + i*r + m*r**2 and give m.
2
Express (-8*a + 14*a - a)*(8*a**2 - 3*a**2 - 2*a**2) in the form g*a + z*a**3 + n*a**2 + t and give z.
15
Rearrange 8*d**2 + 2 - 1 + 4*d**2 + 3*d**2 to o*d + z + n*d**2 and give n.
15
Rearrange (5*i**3 + 0*i**3 + i**3)*(-3*i - 4*i + 3*i) to s*i**3 + j + h*i**4 + m*i**2 + w*i and give h.
-24
Rearrange -2*a**2 - a**2 - 5*a**2 + (-2*a + 0*a + a)*(-2*a + 4*a - a) to z*a + g*a**2 + h and give g.
-9
Express s**3 + 0*s**2 - 9*s**2 - 6*s**2 + 14*s**2 in the form h*s + q*s**2 + t + w*s**3 and give w.
1
Rearrange (1 - 4 + 5)*((2 - 3 + 3)*(-4*m + 0*m + 8*m) - 3 + 3 + 3*m) to the form q*m + z and give q.
22
Express (x**2 - 6*x**2 + 0*x**2)*((x**2 - 4*x**2 + 4*x**2)*(0 + 0 - 2) - 3*x - x**2 + 3*x) as h*x**4 + g*x**3 + p*x + o*x**2 + q and give h.
15
Express -6*v**3 - 11*v**3 - 11*v**3 + (-v + 2*v - 5*v)*(-v**2 - 5*v**2 + 4*v**2) as a*v**3 + l*v**2 + j + z*v and give a.
-20
Rearrange 6*g**2 - g**2 - 3*g**2 + (-1 + 1 + 2*g)*(-22*g - 5*g + 60*g) to h*g + d*g**2 + t and give d.
68
Rearrange -22 + 22 - 27*d to the form w*d + s and give w.
-27
Express (-10 + 3 - 2*h - 5)*(3 - 3 + 1) in the form d*h + q and give d.
-2
Express (-4*i - 7*i - 2*i)*(4 - 4 - 3) in the form u + p*i and give p.
39
Rearrange -1 + 2 - 21*t**2 - 1 to q*t**2 + z + v*t and give q.
-21
Express 0*j**2 - 57*j**3 + 60*j**3 + 2*j**2 as g*j**2 + p*j**3 + q*j + x and give p.
3
Express 0*x**2 + x**3 + 0*x**2 + (-10*x**2 - 5*x**2 + 8*x**2)*(1 - 2*x - 1) as v*x**2 + l*x + z + w*x**3 and give w.
15
Express (0 + 1 - 3 - 1 - 11 + 1 + 1 + 0 + 0 + (-2 - 2 + 5)*(0 - 2 + 4) + 0 - 2 + 1)*(3 - 1 - 3)*(-2*r + r + 2*r) as x*r + h and give x.
11
Express 27*f**2 + 2*f + 31*f**2 - 53*f**2 - f**4 in the form m*f**3 + w + v*f + g*f**2 + y*f**4 and give y.
-1
Rearrange (-5*n - 5*n + 35*n)*(-n**3 - 2*n**3 + 5*n**3) to m*n**2 + t*n + r*n**3 + b*n**4 + u and give b.
50
Rearrange -2 - w**4 + 14*w**3 + 2 - 12*w**3 + 3*w to the form q*w**4 + m*w + n + h*w**2 + i*w**3 and give q.
-1
Rearrange 37*s - 8*s + 2*s**2 + 38*s - 5*s to the form f*s**2 + p*s + t and give p.
62
Rearrange 13 + 5*h - 13 - 2*h to y + p*h and give p.
3
Rearrange -3*i + 17*i**2 - 87 + 4*i + 89 to the form u*i + r*i**2 + w and give w.
2
Express 6*h**2 - 4*h + h**3 - h**2 - 2*h**4 - 3*h**2 as g*h**3 + i + a*h**4 + r*h**2 + v*h and give r.
2
Express (-s**2 + s**2 + 3*s**2)*(10 + 3 - 3) in the form q*s**2 + z + x*s and give q.
30
Rearrange (-3 - 2*f**4 + 3)*(-1 - 1 - 3) - 2*f**4 + 8*f**2 + 1 - 8*f**2 to the form r*f**4 + t*f + h + x*f**3 + y*f**2 and give h.
1
Express 40*r - 77*r + 40*r - 7*r**3 in the form p*r**3 + c*r**2 + d + l*r and give l.
3
Rearrange -3 + 1 - g - g - 5*g + 5*g + g + (-4 + 0 + 2)*(-1 - 2*g + 1) to the form a*g + m and give m.
-2
Rearrange -72*b - 73*b + 160*b to d*b + g and give d.
15
Rearrange -4 - 2*q**2 + 2 - 21 to g*q**2 + y + u*q and give y.
-23
Rearrange 12*t + 28*t - 7*t + 3*t to the form a*t + c and give a.
36
Express (17 + 11 + 35)*(r**2 - r**2 + 2*r**2) + (4*r - r - 2*r)*(2*r - 4 + 4) + 0*r**2 - r**2 + 0*r**2 in the form y*r**2 + p*r + m and give y.
127
Rearrange (2 + 2*q**2 + 1 + 17)*(5*q**2 - 2*q**2 - q**2) to g*q + c*q**3 + t + k*q**2 + y*q**4 and give y.
4
Rearrange 37*h**4 + 2 - 41*h**4 - h**3 + 3*h + h**3 to the form p*h**4 + b*h**3 + k*h**2 + g*h + y and give y.
2
Express -6*y**3 - 7*y**3 + 2 - y**3 in the form x + g*y**2 + f*y**3 + o*y and give x.
2
Express -19*v + 21*v + 2 + 48*v**3 - 13*v**3 as u*v + q*v**2 + n + g*v**3 and give u.
2
Rearrange 5 - 3*y - 3 - 3 + 0 to the form a + s*y and give a.
-1
Express (-g**3 + g**3 + 4*g**3)*(-3 - 3 - 1) in the form c*g**3 + i + k*g + s*g**2 and give c.
-28
Rearrange 45*o**4 - 3*o - 47*o**4 + 9*o - 3*o**2 to the form v*o + j*o**2 + w*o**3 + m*o**4 + c and give j.
-3
Express (-5*j - j + 4*j)*(1 - 2 + 3) + (0 + 0 - 3*j)*(-1 - 4 + 6) - 9*j + 5*j - 17*j as r + w*j and give w.
-28
Rearrange (-13 - 5 - 1)*(-1 + 1 + 2*x) to the form u + t*x and give t.
-38
Express (0 + 1 - 3*g + 2*g)*(-54*g**3 - 37*g**3 + 21*g**3) in the form y*g + j*g**3 + c*g**2 + z*g**4 + o and give z.
70
Rearrange (2 + 0 - 1 + 3*y)*(3*y - 5*y - 7 + 10) to the form m*y**2 + t + a*y and give a.
7
Rearrange 2*w**3 + 17 - 18 + 49 to the form n + l*w**3 + r*w + q*w**2 and give l.
2
Express (0*m + m - 2*m)*(-3 + 0 + 1 + (-2 + 2 - 1)*(5 - 4 - 2)) as u*m + r and give u.
1
Express -4*m**2 - m + 10*m**2 + m**2 as u*m + q + l*m**2 and give u.
-1
Express (-4*f**2 + 4*f**2 + 6*f**2 + (-2 + 1 - 1)*(-3*f**2 + 3*f**2 + 2*f**2))*(-3*f - 3 + 3)*(4 - 4 - 1) as y*f**2 + n + q*f**3 + p*f and give p.
0
Express -3*o + 14*o + 25*o as m*o + j and give m.
36
Express 7 + 2*u - 8*u + 0*u + 4*u + 2*u**2 as g*u + y + a*u**2 and give y.
7
Rearrange (-g - 5*g + 3*g)*(3*g - g - g)*((-2 - g + 2)*(-3 + 1 + 1) - 4*g + 2*g + 0*g + 0*g + g + g) to the form a*g**3 + o + f*g + y*g**2 and give a.
-3
Rearrange -j - 2*j**2 + 1 - 6*j**3 - 2*j**2 + 5*j**2 + 2*j**3 to k + r*j**3 + t*j + z*j**2 and give r.
-4
Express 4*o**3 + 0*o**3 - o**2 - o**4 - 2*o**3 + 2*o as v*o + z*o**4 + j*o**3 + x*o**2 + q and give j.
2
Rearrange 1 - 8*l - 6*l + l**3 + 6*l to h*l**3 + o*l**2 + w + a*l and give a.
-8
Rearrange -21*v - 2 + 24*v - 5 to the form p + x*v and give p.
-7
Express -5 + 3*r**2 - 2*r**3 - r**3 + 8*r**3 - 2*r**2 as d*r + j*r**3 + q + f*r**2 and give j.
5
Rearrange -2*n - 2*n + 3*n + (n + 3 - 3)*(2 + 3 - 3) + 3*n + 4*n - 5*n + (3*n + n - 2*n)*(4 + 4 - 7) + 0*n + n + 2*n to t + z*n and give z.
8
Express (-15*j + 32*j + 50*j)*(-2 - j + 2) as m + k*j + r*j**2 and give r.
-67
Express 4*r**4 - 13*r - 5 + 17*r + r**3 - 2*r**4 in the form z*r**2 + x*r**3 + k + q*r + j*r**4 and give q.
4
Rearrange -2*k**2 + k**3 - 8*k**4 + 5*k**4 + 1 + 3*k**2 to h*k + f*k**3 + z*k**2 + l + g*k**4 and give l.
1
Express 4*g**3 - 1 + g**4 - g**3 + 0*g**3 + g**2 - g**3 as d*g**3 + i*g + u*g**2 + j*g**4 + k and give j.
1
Ex
|
{
"pile_set_name": "DM Mathematics"
}
|
, 3803, 6132?
277*f**2 - 164*f + 27
What is the q'th term of -562, -1501, -2548, -3703, -4966, -6337?
-54*q**2 - 777*q + 269
What is the z'th term of 544, 1276, 2704, 4996, 8320, 12844, 18736, 26164?
28*z**3 + 180*z**2 - 4*z + 340
What is the c'th term of 3576, -7681, -26456, -52755, -86584, -127949?
-c**3 - 3753*c**2 + 9*c + 7321
What is the s'th term of -227216, -227263, -227310?
-47*s - 227169
What is the j'th term of 1403, 5727, 12997, 23219, 36399, 52543, 71657?
j**3 + 1467*j**2 - 84*j + 19
What is the c'th term of 577, 1251, 2065, 3049, 4233, 5647, 7321?
5*c**3 + 40*c**2 + 519*c + 13
What is the c'th term of 649, 798, 1085, 1510, 2073?
69*c**2 - 58*c + 638
What is the t'th term of 2343481, 4687398, 7031313, 9375226?
-t**2 + 2343920*t - 438
What is the i'th term of 1317, 1547, 1777, 2007, 2237?
230*i + 1087
What is the t'th term of 52032, 208888, 470312, 836304, 1306864, 1881992, 2561688?
52284*t**2 + 4*t - 256
What is the o'th term of -26544192, -106176758, -238897702, -424707024, -663604724?
-26544189*o**2 + o - 4
What is the k'th term of -324, -4734, -9148, -13566, -17988?
-2*k**2 - 4404*k + 4082
What is the v'th term of -182171, -182744, -183317, -183890?
-573*v - 181598
What is the g'th term of -794, -2122, -3982, -6374?
-266*g**2 - 530*g + 2
What is the m'th term of -2247, -4173, -5453, -5763, -4779, -2177, 2367, 9177?
54*m**3 - m**2 - 2301*m + 1
What is the a'th term of 2335315, 2335328, 2335349, 2335378, 2335415, 2335460?
4*a**2 + a + 2335310
What is the s'th term of -27906, -27860, -27774, -27642, -27458, -27216, -26910, -26534?
s**3 + 14*s**2 - 3*s - 27918
What is the q'th term of 275103, 1100422, 2475953, 4401696, 6877651, 9903818?
275106*q**2 + q - 4
What is the q'th term of -21595, -86350, -194193, -345058, -538879, -775590, -1055125, -1377418?
11*q**3 - 21610*q**2 - 2*q + 6
What is the y'th term of -355822053, -355822049, -355822045, -355822041, -355822037, -355822033?
4*y - 355822057
What is the m'th term of 506187, 506213, 506239?
26*m + 506161
What is the o'th term of 530929583, 1061859165, 1592788749, 2123718335, 2654647923, 3185577513, 3716507105?
o**2 + 530929579*o + 3
What is the b'th term of 70976, 141968, 212968, 283976, 354992, 426016, 497048?
4*b**2 + 70980*b - 8
What is the j'th term of -633381, -1266741, -1900101?
-633360*j - 21
What is the p'th term of -96223, -96013, -95803, -95593?
210*p - 96433
What is the w'th term of 230, 348, 404, 398, 330, 200, 8?
-31*w**2 + 211*w + 50
What is the j'th term of 72828, 141755, 210682, 279609, 348536, 417463?
68927*j + 3901
What is the i'th term of 5131998, 5131970, 5131944, 5131920, 5131898, 5131878, 5131860?
i**2 - 31*i + 5132028
What is the g'th term of -138320, -138319, -138324, -138335, -138352, -138375?
-3*g**2 + 10*g - 138327
What is the x'th term of -97769, -196217, -295343, -395147, -495629?
-339*x**2 - 97431*x + 1
What is the i'th term of -1740710, -3481424, -5222140, -6962858, -8703578, -10444300, -12185024?
-i**2 - 1740711*i + 2
What is the z'th term of 2969454, 2969463, 2969472?
9*z + 2969445
What is the u'th term of 103443, 103258, 103073, 102888, 102703, 102518?
-185*u + 103628
What is the x'th term of 416, -1292, -2734, -3778, -4292, -4144, -3202?
22*x**3 + x**2 - 1865*x + 2258
What is the d'th term of -180636, -180449, -180262, -180075?
187*d - 180823
What is the u'th term of -59681, -119154, -178627, -238100, -297573, -357046?
-59473*u - 208
What is the c'th term of -3, -2737, -11125, -27993, -56167, -98473, -157737, -236785?
-471*c**3 - c**2 + 566*c - 97
What is the u'th term of 8267615, 8267614, 8267613, 8267612, 8267611?
-u + 8267616
What is the g'th term of -293989, -1175951, -2645897, -4703833, -7349765, -10583699, -14405641?
-g**3 - 293986*g**2 + 3*g - 5
What is the w'th term of 1498, 2728, 3692, 4390, 4822, 4988, 4888?
-133*w**2 + 1629*w + 2
What is the z'th term of -774617, -1549233, -2323851, -3098471, -3873093, -4647717?
-z**2 - 774613*z - 3
What is the r'th term of -699, -1594, -3145, -5352?
-328*r**2 + 89*r - 460
What is the m'th term of 358, 919, 1606, 2425, 3382, 4483, 5734?
m**3 + 57*m**2 + 383*m - 83
What is the a'th term of -8085, -16098, -24133, -32202, -40317, -48490?
-2*a**3 + a**2 - 8002*a - 82
What is the r'th term of 1385, 10633, 35709, 84527, 165001, 285045, 452573, 675499?
1319*r**3 + 15*r + 51
What is the q'th term of -88583, -88566, -88545, -88520, -88491?
2*q**2 + 11*q - 88596
What is the y'th term of 1541, -17209, -68107, -167227, -330643, -574429?
-2679*y**3 + 3*y + 4217
What is the r'th term of -3812, -11594, -23400, -39230, -59084, -82962, -110864?
-2012*r**2 - 1746*r - 54
What is the o'th term of -79554, -85850, -92146, -98442?
-6296*o - 73258
What is the u'th term of -837192, -3348750, -7534676, -13394970, -20929632, -30138662?
-837184*u**2 - 6*u - 2
What is the l'th term of 18875, 75653, 170295, 302801, 473171?
18932*l**2 - 18*l - 39
What is the i'th term of 55300, 116175, 177050, 237925?
60875*i - 5575
What is the a'th term of 2103, 2126, 2151, 2178?
a**2 + 20*a + 2082
What is the v'th term of -36983328, -36983329, -36983330, -36983331?
-v - 36983327
What is the z'th term of -8456763, -8456732, -8456679, -8456604, -8456507, -8456388?
11*z**2 - 2*z - 8456772
What is the h'th term of 432868, 865759, 1298658, 1731571, 2164504, 2597463, 3030454?
h**3 - 2*h**2 + 432890*h - 21
What is the w'th term of -653689, -1307346, -1961003, -2614660?
-653657*w - 32
What is the t'th term of -52, -80, -10, 158, 424, 788, 1250?
49*t**2 - 175*t + 74
What is the v'th term of -112517, -225032, -337539, -450038, -562529?
4*v**2 - 112527*v + 6
What is the l'th term of -191, -652, -1347, -2270, -3415, -4776, -6347, -8122?
l**3 - 123*l**2 - 99*l + 30
What is the a'th term of 13434, 14154, 14874, 15594, 16314?
720*a + 12714
What is the t'th term of 200, -6912, -18766, -35362?
-2371*t**2 + t + 2570
What is the f'th term of -229827007, -459654015, -689481023, -919308031, -1149135039, -1378962047?
-229827008*f + 1
What is the c'th term of 143834838, 143834840, 143834842, 143834844, 143834846?
2*c + 143834836
What is the t'th term of 625, 924, 1807, 3556, 6453, 10780?
47*t**3 + 10*t**2 - 60*t + 628
What is the r'th term of 38439997, 76879995, 115319993, 153759991?
38439998*r - 1
What is the u'th term of -20508, -63768, -135868, -236808, -366588, -525208, -712668?
-14420*u**2 - 6088
What is the v'th term of -672191533, -1344383065, -2016574597, -2688766129, -3360957661?
-672191532*v - 1
What is the a'th term of -9727214, -19454447, -29181680?
-9727233*a + 19
What is the p'th term of 656188165, 656188166, 656188167, 656188168?
p + 656188164
What is the p'th term of -17947, -17917, -17809, -17581, -17191, -16597, -15757?
7*p**3 - 3*p**2 - 10*p - 17941
What is the l'th term of -1342, -1755, -2074, -2251, -2238, -1987?
8*l**3 - l**2 - 466*l - 883
What is the h'th term of -71048158, -142096316, -213144478, -284192644?
-2*h**2 - 71048152*h - 4
What is the c'th term of -19350, -38790, -58230, -77670, -97110, -116550?
-19440*c + 90
What is the d'th term of 140623140, 140623141, 140623142?
d + 140623139
What is the g'th term of 14222, 14599, 14976, 15353, 15730, 16107?
377*g + 13845
What is the j'th term of -3493, -5843, -8199, -10567, -12953, -15363, -17803?
-j**3 + 3*j**2 - 2352*j - 1143
What is the v'th term of -29701212, -29701225, -29701262, -29701335, -29701456, -29701637, -29701890, -29702227?
-2*v**3 + v - 29701211
What is the d'th term of -14794, -14772, -14714, -14602, -14418, -14144, -13762?
3*d**3 + d - 14798
What is the n'th term of -19637122, -19637123, -19637124, -19637125, -19637126?
-n - 19637121
What is the i'th term of 48443, 193725, 435843, 774785, 1210539, 1743093, 2372435, 3098553?
-2*i**3 + 48430*i**2 + 6*i + 9
What is the k'th term of -29887, -119207, -268073, -476485, -744443, -1071947, -1458997?
-29773*k**2 - k - 113
What is the j'th term of 3842966, 7685934, 11528902, 15371870, 19214838?
3842968*j - 2
What is the h'th term of 601172034, 1202344066, 1803516098?
601172032*h + 2
What is the t'th term of 5813472, 11626948, 17440424?
5813476*t - 4
What is the n'th term of -17625855, -17625857, -17625859, -17625861, -17625863?
-2*n - 17625853
What is the c'th term of 25395, 53553, 84479, 118179, 154659, 193925?
c**3 + 1378*c**2 + 24017*
|
{
"pile_set_name": "DM Mathematics"
}
|
ng 3 j and 1 u.
4/21
Two letters picked without replacement from bddbbbbdddddb. What is prob of picking 2 d?
7/26
What is prob of picking 2 c and 2 r when four letters picked without replacement from crcrccrgc?
5/21
What is prob of picking 1 j, 1 i, and 2 a when four letters picked without replacement from pppaajjpaplipak?
4/455
What is prob of picking 1 w, 1 i, and 1 t when three letters picked without replacement from {r: 1, w: 3, b: 1, i: 3, a: 2, t: 1}?
3/55
Three letters picked without replacement from aakakkkkakkkkkka. Give prob of picking 3 a.
1/56
Calculate prob of picking 3 p and 1 q when four letters picked without replacement from qpllqlqqpqpqqlnpqlqq.
8/969
What is prob of picking 2 x, 1 f, and 1 c when four letters picked without replacement from fxfxpxxcpxfp?
2/33
Calculate prob of picking 1 m and 2 x when three letters picked without replacement from nmxnnxn.
1/35
Calculate prob of picking 1 l, 1 j, 1 z, and 1 s when four letters picked without replacement from {s: 1, z: 1, l: 1, j: 1, u: 1}.
1/5
Three letters picked without replacement from ssssiikssiyisiks. Give prob of picking 2 k and 1 i.
1/112
What is prob of picking 1 o and 1 i when two letters picked without replacement from iiioo?
3/5
Four letters picked without replacement from {i: 4, d: 2, g: 2, p: 8}. Give prob of picking 2 i and 2 p.
6/65
Calculate prob of picking 1 b and 2 z when three letters picked without replacement from {q: 3, b: 10, z: 2, g: 1}.
1/56
Four letters picked without replacement from pwpppwpwwwppypppp. What is prob of picking 3 p and 1 w?
165/476
Two letters picked without replacement from {k: 2, x: 1, p: 2, q: 1}. What is prob of picking 1 x and 1 k?
2/15
Three letters picked without replacement from srsslllslsslcrrls. Give prob of picking 2 l and 1 s.
21/136
What is prob of picking 3 h when three letters picked without replacement from {h: 7, j: 7}?
5/52
Two letters picked without replacement from tuktkcwwkcdttkckdk. Give prob of picking 2 k.
5/51
Four letters picked without replacement from {i: 2, r: 5, m: 3, j: 9}. What is prob of picking 1 i and 3 j?
14/323
What is prob of picking 4 v when four letters picked without replacement from {v: 4, s: 2, e: 1}?
1/35
Three letters picked without replacement from {m: 2, l: 3, k: 6, g: 1}. Give prob of picking 1 g and 2 m.
1/220
Calculate prob of picking 1 r and 1 u when two letters picked without replacement from furrfrv.
1/7
What is prob of picking 2 z and 1 r when three letters picked without replacement from {l: 6, r: 1, h: 2, z: 3}?
3/220
Three letters picked without replacement from ataau. Give prob of picking 1 a, 1 u, and 1 t.
3/10
What is prob of picking 2 k and 1 e when three letters picked without replacement from kkeekeeekk?
5/12
Three letters picked without replacement from {u: 3, o: 4, p: 4}. What is prob of picking 3 u?
1/165
What is prob of picking 1 x and 3 v when four letters picked without replacement from {v: 6, x: 2}?
4/7
Two letters picked without replacement from {e: 1, p: 13, n: 3}. Give prob of picking 1 e and 1 p.
13/136
Calculate prob of picking 1 p and 1 h when two letters picked without replacement from pjqdgdh.
1/21
What is prob of picking 2 o when two letters picked without replacement from ionniiiinon?
1/55
Three letters picked without replacement from iigfigfzfi. What is prob of picking 3 f?
1/120
Two letters picked without replacement from {h: 1, d: 2, q: 4, v: 3}. Give prob of picking 1 d and 1 q.
8/45
Calculate prob of picking 2 f, 1 e, and 1 b when four letters picked without replacement from {g: 2, b: 1, q: 4, e: 1, m: 1, f: 3}.
1/165
Calculate prob of picking 2 t and 2 h when four letters picked without replacement from txtdthttxhttthtttttd.
78/1615
Two letters picked without replacement from {h: 5, w: 3, p: 1, l: 3}. Give prob of picking 2 l.
1/22
What is prob of picking 3 q and 1 l when four letters picked without replacement from qqqqlqqq?
1/2
Four letters picked without replacement from vhbbebjbvbbejbrvb. What is prob of picking 2 b, 1 v, and 1 j?
6/85
Three letters picked without replacement from bqfjjqyfebqbqqfbbjb. Give prob of picking 2 q and 1 e.
10/969
Three letters picked without replacement from eepeqhqepqeeh. Give prob of picking 2 p and 1 e.
3/143
Calculate prob of picking 3 x and 1 m when four letters picked without replacement from bxbxxmmbb.
1/63
Two letters picked without replacement from qeqeeeqqqqeeqqqeeqee. Give prob of picking 2 e.
9/38
Calculate prob of picking 3 n when three letters picked without replacement from {n: 3, j: 4, l: 2}.
1/84
Three letters picked without replacement from aaa. What is prob of picking 3 a?
1
Four letters picked without replacement from {h: 5, f: 2, q: 12}. What is prob of picking 1 h, 2 f, and 1 q?
5/323
Four letters picked without replacement from {x: 2, g: 2, u: 14, q: 1}. What is prob of picking 1 q, 1 u, and 2 x?
7/1938
Two letters picked without replacement from qxzqqxllxlllxlrxqxcq. What is prob of picking 1 c and 1 q?
1/38
Two letters picked without replacement from {n: 2, c: 1, p: 1, j: 2}. Give prob of picking 1 c and 1 p.
1/15
What is prob of picking 3 e when three letters picked without replacement from {e: 5, w: 3}?
5/28
Three letters picked without replacement from {m: 1, d: 1, s: 1, h: 1, u: 2, z: 1}. What is prob of picking 1 h and 2 u?
1/35
Calculate prob of picking 1 w and 1 a when two letters picked without replacement from {a: 10, u: 2, w: 3}.
2/7
Calculate prob of picking 2 l when two letters picked without replacement from {i: 2, l: 2, h: 4, z: 2}.
1/45
Calculate prob of picking 2 e when two letters picked without replacement from yceccehc.
1/28
Four letters picked without replacement from {n: 6}. What is prob of picking 4 n?
1
Calculate prob of picking 3 o and 1 u when four letters picked without replacement from oxooxdoouood.
7/99
What is prob of picking 1 r and 2 f when three letters picked without replacement from {y: 1, k: 4, f: 2, m: 2, r: 1}?
1/120
Calculate prob of picking 1 t and 2 m when three letters picked without replacement from mtmmmtmmmmm.
24/55
Two letters picked without replacement from dddgddddddddddgddddd. Give prob of picking 2 d.
153/190
Two letters picked without replacement from {j: 7, k: 7}. What is prob of picking 2 j?
3/13
Calculate prob of picking 2 u, 1 s, and 1 r when four letters picked without replacement from {r: 1, u: 7, p: 5, s: 5}.
7/204
Four letters picked without replacement from {d: 1, c: 2, q: 2}. Give prob of picking 1 c, 1 d, and 2 q.
2/5
Three letters picked without replacement from {e: 4}. Give prob of picking 3 e.
1
Calculate prob of picking 2 t when two letters picked without replacement from {a: 4, m: 2, t: 5}.
2/11
What is prob of picking 1 n and 1 v when two letters picked without replacement from {y: 2, v: 1, p: 1, n: 1, c: 4}?
1/36
Two letters picked without replacement from {c: 2, x: 3, v: 10, d: 3}. What is prob of picking 1 d and 1 c?
2/51
Three letters picked without replacement from ewwdezzvi. Give prob of picking 1 d and 2 z.
1/84
What is prob of picking 1 w and 1 k when two letters picked without replacement from {w: 3, n: 1, k: 3}?
3/7
Three letters picked without replacement from {f: 4, a: 4, e: 2, g: 5}. What is prob of picking 2 f and 1 a?
24/455
Four letters picked without replacement from {v: 1, t: 5, w: 2, k: 3, o: 1}. Give prob of picking 2 t, 1 w, and 1 v.
4/99
Calculate prob of picking 1 d and 1 u when two letters picked without replacement from {h: 3, r: 3, d: 6, g: 2, u: 2}.
1/10
Two letters picked without replacement from {k: 2, f: 4, r: 1, z: 1}. What is prob of picking 1 r and 1 z?
1/28
Three letters picked without replacement from ubbuubububbubu. Give prob of picking 3 u.
5/52
Two letters picked without replacement from {k: 4, i: 3, n: 2, r: 6, g: 1}. Give prob of picking 1 k and 1 i.
1/10
Three letters picked without replacement from {b: 4, j: 4, a: 5, x: 5, k: 1}. What is prob of picking 1 k and 2 j?
2/323
Three letters picked without replacement from gxxxgjxgjxjjx. What is prob of picking 1 x and 2 g?
9/143
Four letters picked without replacement from gwnnwwjnhhwwww. Give prob of picking 1 w, 2 n, and 1 h.
6/143
Four letters picked without replacement from {v: 5, g: 5}. What is prob of picking 4 v?
1/42
Calculate p
|
{
"pile_set_name": "DM Mathematics"
}
|
ose -4*p + v*f + 8 = 0, p = -2*f - 2*f + 21. List the prime factors of p.
5
Let m(r) be the first derivative of 2*r**3/3 + r**2/2 + 27*r + 22. List the prime factors of m(-6).
3, 31
Suppose 2*j + 3*w - 4953 = 0, 5*j + w + 4*w = 12390. What are the prime factors of j?
3, 827
Suppose 15*f - 10*f = 50. What are the prime factors of 2/10 + 808/f?
3
Suppose -3*w = 4*k - 1533, 2*w - 2*k = 7*w - 2541. Suppose w = -33*o + 36*o. What are the prime factors of o?
13
Let c = -5 - -55. Let v = -15 + c. What are the prime factors of v?
5, 7
Suppose 4*y - s = 5*y - 308, y + 2*s - 306 = 0. List the prime factors of y.
2, 5, 31
Let r(m) = -3*m + 98. Suppose 11*k = 9*k. What are the prime factors of r(k)?
2, 7
Let w(t) = t**2 - 20*t + 22. Let f be w(19). Suppose -f*u + 7*u = 196. List the prime factors of u.
7
Let n(g) be the third derivative of g**5/30 - 5*g**4/24 + 4*g**3/3 - 2*g**2. What are the prime factors of n(5)?
3, 11
Suppose -2*w + 3*m - 2 = 0, 4*m + 5 + 4 = 5*w. Suppose y = w*x + 32 + 63, 0 = x + 2. List the prime factors of y.
5, 17
Suppose 16*a - 32348 = 1988. List the prime factors of a.
2, 29, 37
Let l = -74 + 41. Let r be 342/66 + 6/l. Suppose 0*x = -r*q - x + 74, 5*x - 25 = -2*q. What are the prime factors of q?
3, 5
Suppose 5*k + 18 = 8*k. Suppose w + k = 4*w. Let b(y) = 3*y**3 - 5*y**2 + 5*y - 2. List the prime factors of b(w).
2, 3
Let u(o) = -9*o**3 - 8*o**2 - 11*o + 1. Let n(l) = -4*l**3 - 4*l**2 - 5*l + 1. Let a(c) = -13*n(c) + 6*u(c). List the prime factors of a(-3).
2, 43
Let y(u) = u**3 - 2*u**2 - 6*u + 2348. List the prime factors of y(0).
2, 587
Let y(f) = 9*f - 2*f**2 + 0 - 3 + f**2. Suppose -3*v - v = -32. List the prime factors of y(v).
5
Let k(i) = 38*i**2 - 4*i - 34. List the prime factors of k(6).
2, 5, 131
List the prime factors of (0 + 47/(-4))*75264/(-448).
2, 3, 7, 47
Suppose -3*h - 11*f + 6109 = -15*f, 2 = f. What are the prime factors of h?
2039
Let o(r) = -11*r + 1. Let m be o(14). What are the prime factors of (-7*2)/(18/m)?
7, 17
Let p = 6635 + -1438. List the prime factors of p.
5197
Let s = -24 - -26. Let h = s - -47. List the prime factors of h.
7
Let i(q) = -2*q**3 - 7*q**2 - 28*q - 256. List the prime factors of i(-11).
1867
Let h(u) = u**3 - 2*u**2 + u - 3. Let q be h(3). Let t(j) = 8 + q*j - 7 - j. List the prime factors of t(3).
5
Let w = -735 + 1112. What are the prime factors of w?
13, 29
What are the prime factors of (8/24)/(2/750)?
5
Let t = 6516 - 4371. List the prime factors of t.
3, 5, 11, 13
Let f be (-28 + 1)*(3 + -4). Suppose -5*y + 16 = -4*k - 56, 2*y - f = k. Suppose -n = 5*m + y, -3*m - 3 = 9. List the prime factors of n.
2
Suppose 2*m + 3 - 19 = 0. Let z(b) = -17 - 2*b + 0*b + b + m*b. What are the prime factors of z(7)?
2
Let l be (-20)/(-25) - (-1529)/(-5). Let n = 459 + l. What are the prime factors of n?
2, 7, 11
What are the prime factors of 6080/57 + 1/(-9)*-3?
107
Let i(b) = -b**3 - 6*b**2 + 3*b - 10. Let n = -9 + 2. List the prime factors of i(n).
2, 3
Suppose 0 = 8*t - 43598 + 14678. What are the prime factors of t?
3, 5, 241
Suppose -10*z = -4*z + 6. Let d = 31 - z. What are the prime factors of d?
2
Let r be ((-15)/(-5))/(9/33). Suppose 10*c + 47 = r*c. List the prime factors of c.
47
Suppose -3*z - 8 - 25 = 0. Suppose 18 = -2*a - 40. Let f = z - a. What are the prime factors of f?
2, 3
Let b(l) = l + 18. Let c be b(-14). Suppose 0 = -4*m + 5*m - c*d - 165, -2*d = -4*m + 618. List the prime factors of m.
3, 17
Let z be (-2807)/(-11) - 18/99. Suppose 0 = -3*u - 4*t + z, -406 = -5*u - 2*t + 19. List the prime factors of u.
5, 17
Let a = -394 + 1036. What are the prime factors of a?
2, 3, 107
Let q(j) = -1703*j + 8. What are the prime factors of q(-1)?
29, 59
Let o = 3647 - 1852. What are the prime factors of o?
5, 359
Let k be (8 - 0)/(2 + 0). Let r(x) = 4 + k + 3 + x - 5. List the prime factors of r(7).
13
Let w(s) = -33*s - 120. What are the prime factors of w(-36)?
2, 3, 89
Suppose 0 = -4*c + 2*c + 6, 5*c = 2*i - 1381. What are the prime factors of i?
2, 349
Suppose -2*j = 3*y + 31, -y = -2*j + 26 - 5. Let o(p) = -16*p - 39. What are the prime factors of o(y)?
13
Let i(t) = t**2 - 30*t + 22. List the prime factors of i(44).
2, 11, 29
Suppose 0 = 6*k - 33433 + 7657. What are the prime factors of k?
2, 3, 179
Suppose 0 = -3*c + 5*i + 52, 2*c - 5*i - 80 = -3*c. Suppose c*a = 6*a + 72. Suppose -n + 5*g + 0 = a, n + 5*g - 31 = 0. List the prime factors of n.
11
Let n = -10 - -31. Suppose -w = 2*w - n. List the prime factors of w.
7
Let m = -629 + 1168. What are the prime factors of m?
7, 11
Let r(l) be the first derivative of -129*l**4/4 - l**3 - 3*l**2/2 + 22. List the prime factors of r(-1).
3, 43
Let t = -30 - -27. List the prime factors of t/21 - 1360/(-14).
97
Suppose -i = -2*k + 1332, -5*k + 3341 = 6*i - 3*i. List the prime factors of k.
23, 29
Let t(k) = k + 11. Let z be t(-17). What are the prime factors of -3*((-4)/z - 4)?
2, 5
Let f = 30 - -44. List the prime factors of f.
2, 37
Suppose -2 - 19 = -7*c. Suppose 4*f + 231 = p, c*p = -f - 164 + 831. List the prime factors of p.
223
Suppose 501*k + 756 = 510*k. List the prime factors of k.
2, 3, 7
Suppose -9 = 2*v - 15. What are the prime factors of 1 + 131 + v + 0?
3, 5
Let n be (-4)/6 - (-8)/3. Let c(t) = t + 25. Let u be c(-22). Suppose n*s = 3*d + 35, -u*d = s - 8*d - 21. List the prime factors of s.
2
Let k(o) = 3*o + 63. List the prime factors of k(-7).
2, 3, 7
Let f(j) be the third derivative of 5*j**4/24 + j**3/3 + 2*j**2. Suppose -4*o - 14 = -5*t, 3*o - 7 = -4*t - 2. List the prime factors of f(t).
2, 3
Suppose -4*q + 4*o + 10364 = 0, 5*o + 9752 = 3*q + 1979. What are the prime factors of q?
2591
Let k = 50 - -100. Let p = -65 + k. What are the prime factors of p?
5, 17
Suppose 0 = -x + 5*g + 440, -4*x - 3*g - 450 = -5*x. What are the prime factors of x?
3, 5, 31
Let g be 1/(2 + (-5)/3). Suppose 2*u - 55 + 2 = 3*o, 0 = u + g*o - 22. List the prime factors of 640/u + 4/10.
2, 13
Let g be 3/(-18) + 70/(-12). Let r = g - -8. Suppose 0 = -5*i, 4*i = -3*p + r*i + 33. What are the prime factors of p?
11
Let i(y) be the second derivative of 6*y + 0 + 12*y**2 - 1/3*y**3. List the prime factors of i(10).
2
Let t(w) = 48*w - 47. What are the prime factors of t(5)?
193
Let c be -7 + -2 + -1 + 1. Let j = -9 - c. Suppose 2*w + 0*w + 8 = j, 0 = -2*h - 2*w. List the prime factors of h.
2
Let l(i) = 3*i**3 - 10*i**2 + 7*i. List the prime factors of l(6).
2, 3, 5, 11
Let c be 2 + 6 - (6 + -6). Suppose -2*d = -c, 2*x - 5*d - 221 + 7 = 0. List the prime factors of x.
3, 13
Suppose -2*r + 20 = 2*r. Suppose -5*z - r = -6*z. Suppose -x = -z*x + 116. What are the prime factors of x?
29
Let t = -1 - -12. Let o(s) = -s**2 + 12*s + 27. List the prime factors of o(t).
2, 19
Suppose l - 3*w + 77 - 573 = 0, -3*l + 2*w + 1481 = 0. What are the prime factors of l?
17, 29
Suppose l + 3*s + 122 = -4*l, -3*s = 2*l + 56. Let y = l - -107. What are the prime factors of y?
5, 17
Let f = 145 + 69. List the prime factors of f.
2, 107
Let t(w) = 3*w**2 - 3*w + 2. Let g be t(2). Let p(c) = -4*c + 4*c - g - 3*c. List the prime factors of p(-11).
5
Let o(s) = -s**3 + 3*s + 2. Let w be o(-2). Suppose w*v - 10 - 26 = 0. What are the prime factors of v?
3
Let m(s) = 4*s - 9. Suppose 5*w = 32 + 3. Let i be m(w). Suppose 17*f + 46 = i*f. List the prime factors of f.
23
Let d be (5 - (-31)/(-5))/(2/(-5)). Suppose 0 = 3*n, -d*x + 663 + 231 = n. What are the prime factors of x?
2, 149
Suppose 2*w + 8 = 0, 0 = x + 2*w - 6*w - 7. Let z = 39 + x. Let o = 55 - z. What are the prime factors of o?
5
Suppose -5*j - 757 = -147. Let c = 225 + j. List the prime factors of c.
103
Let g(a) = -255*a + 627. What are the prime factors of g(-8)?
3, 7, 127
Let z be (-2)/3 - (-1 + (-55)/15). Let s(v) = 2*v**2 + 4*v - 7. What are the prime factors of s(z)?
41
Let d = -265 + 449. List the prime factors of d.
2, 23
Suppose 0*h = h - 6. Suppose t = -0*t + h. Suppose t*x - 20 = 2*x. What are the prime factors of x?
5
Suppose n - 3082 = -3*n + 2*s, 5*n - 3*s - 3853 = 0. List the prime factors of n.
2, 5, 7, 11
Let v(o) = o**3 + 13*o**2 + 18*o + 21. Let y = 16 + -12. Let f be (30/(-45))/(y/66). What are the prime factors of v(f)?
5, 13
Suppose -39*w = -9*w - 67320. List the prime factors of w.
2
|
{
"pile_set_name": "DM Mathematics"
}
|
23178*l/5 - 246348/5 = 0. Calculate l.
2, 61587
Let -12*c**5 - 1260*c**4 - 4888*c**3 - 36472*c**2/9 - 11324*c/9 - 404/3 = 0. Calculate c.
-101, -3, -1/3
What is m in -81*m**5/2 + 4536*m**4 - 66069*m**3 + 63060*m**2 - 41373*m/2 + 2280 = 0?
1/3, 16, 95
Solve 38*k**4/3 - 14*k**3 - 124*k**2 - 272*k/3 = 0 for k.
-2, -17/19, 0, 4
Suppose -z**3/5 + 97*z**2/5 - 38*z = 0. Calculate z.
0, 2, 95
Determine j, given that -2*j**5/7 - 146490*j**4/7 - 383170752*j**3 + 8047904248*j**2/7 - 83712*j - 1532934144 = 0.
-36624, -1, 2
Suppose -2*r**2 + 190*r - 3000 = 0. What is r?
20, 75
Factor -377058724*p**3 - 155344*p**2 - 16*p.
-4*p*(9709*p + 2)**2
Factor 5*y**5 + 1385*y**4 + 5460*y**3 - 80*y**2 - 21920*y - 21840.
5*(y - 2)*(y + 2)**3*(y + 273)
Find c, given that 2*c**2/3 + 42424*c/3 + 224974472/3 = 0.
-10606
What is p in -2*p**5/13 - 118*p**4/13 - 574*p**3/13 + 44038*p**2/13 + 176976*p/13 - 220320/13 = 0?
-36, -5, 1, 17
Factor -x**4/3 - 718*x**3/3 - 2136*x**2 - 6390*x - 6381.
-(x + 3)**3*(x + 709)/3
Find d, given that -2*d**3 - 3816*d**2 - 1797120*d + 22118400 = 0.
-960, 12
Solve -2*c**3 - 4*c**2 + 2480*c - 9728 = 0.
-38, 4, 32
Let -75*m**3 + 515*m**2 - 940*m + 420 = 0. Calculate m.
2/3, 2, 21/5
Find u, given that -u**2/3 - 232*u - 93215/3 = 0.
-515, -181
Factor x**2 + 5456*x + 21808.
(x + 4)*(x + 5452)
Determine d, given that -2*d**4/3 - 106*d**3/3 + 1304*d**2 + 16856*d/3 + 17248/3 = 0.
-77, -2, 28
What is k in 5*k**5 - 100*k**4 - 4740*k**3 - 8930*k**2 + 4735*k + 9030 = 0?
-21, -2, -1, 1, 43
Suppose w**3/6 - 196*w**2/3 - 3185*w/6 - 1000 = 0. What is w?
-5, -3, 400
Factor t**2 + 6188*t + 9572836.
(t + 3094)**2
Find z such that -z**3/3 - 1569*z**2 - 1856477*z - 71609317/3 = 0.
-2347, -13
Determine q so that -2*q**4/17 - 2*q**3/17 + 31000*q**2/17 = 0.
-125, 0, 124
Let j**3/3 + 4366*j**2/3 + 216425*j/3 + 2697500/3 = 0. Calculate j.
-4316, -25
Factor -c**2/6 + 553*c/3 - 33325/6.
-(c - 1075)*(c - 31)/6
Determine y so that -44*y**4 - 472*y**3 - 1628*y**2 - 1632*y + 576 = 0.
-4, -3, 3/11
Factor -f**2/4 - 2413*f/4 + 7257/2.
-(f - 6)*(f + 2419)/4
Determine w so that 68921*w**4 - 12657930*w**3 + 8315784*w**2 - 1823958*w + 133407 = 0.
9/41, 183
Suppose 2*b**2/9 - 170*b/9 + 2852/9 = 0. What is b?
23, 62
Factor -3*n**4 + 93*n**3 - 9*n**2 - 5385*n + 17400.
-3*(n - 29)*(n - 5)**2*(n + 8)
Factor -2*d**4 - 195778*d**3 - 587322*d**2 - 587318*d - 195772.
-2*(d + 1)**3*(d + 97886)
Factor -2*m**2 + 845420*m - 89341872050.
-2*(m - 211355)**2
Let -2*x**3 + 520*x**2 + 522*x = 0. What is x?
-1, 0, 261
Determine a so that 5*a**4 - 49080*a**3 + 120491390*a**2 - 240835560*a + 120393245 = 0.
1, 4907
Let m**3 - 38*m**2 - 589*m - 550 = 0. What is m?
-11, -1, 50
Suppose b**2/8 + 17*b/8 + 13/2 = 0. What is b?
-13, -4
Suppose -27*f**5/2 - 234*f**4 + 2031*f**3/2 + 11910*f**2 + 14262*f + 4560 = 0. Calculate f.
-19, -5, -2/3, 8
Determine x so that -3*x**5/4 - 381*x**4/4 + 3615*x**3/4 - 7779*x**2/4 - 903*x + 2040 = 0.
-136, -1, 1, 4, 5
Determine f, given that -22*f**2/9 - 16*f/9 + 70 = 0.
-63/11, 5
Solve 5*s**4 + 455*s**3 - 15*s**2 - 1355*s + 910 = 0 for s.
-91, -2, 1
Factor -g**2/4 - 1179*g/4 - 4652.
-(g + 16)*(g + 1163)/4
Factor 4*d**2 - 416*d + 2716.
4*(d - 97)*(d - 7)
Let 2*a**2 + 429*a - 215 = 0. What is a?
-215, 1/2
Factor 48782*l**2/9 - 48788*l/9 + 2/3.
2*(l - 1)*(24391*l - 3)/9
Let -38*b**4/7 - 4488*b**3/7 - 138526*b**2/7 - 184020*b - 19152 = 0. What is b?
-76, -21, -2/19
Solve 4*f**3/5 + 2684*f**2/5 - 10884*f/5 - 11340 = 0.
-675, -3, 7
Factor -5*s**2 + 754250*s + 1508520.
-5*(s - 150852)*(s + 2)
Determine y so that y**4/6 - 27*y**3/2 - 310*y**2/3 + 54*y + 1232/3 = 0.
-7, -2, 2, 88
Let q**4 + 483*q**3 - 4905*q**2 + 12325*q = 0. What is q?
-493, 0, 5
Determine h, given that 8*h**2 - 6894*h + 5166 = 0.
3/4, 861
Find q such that -3*q**3 + 12903*q**2 - 12900*q = 0.
0, 1, 4300
What is b in -b**4/9 + 50*b**3/3 - 5429*b**2/9 = 0?
0, 61, 89
Find n, given that -5*n**3/6 + 1708*n**2/3 - 2934*n - 2712 = 0.
-4/5, 6, 678
Determine v so that -25*v**5 - 40340*v**4 + 96949*v**3 - 17836*v**2 - 96924*v + 58176 = 0.
-1616, -1, 1, 6/5
Find j such that -j**4/5 + 1049*j**3/5 - 40269*j**2 + 399547*j/5 - 39850 = 0.
1, 250, 797
Factor 2*u**2/3 - 1280*u/3 + 204800/3.
2*(u - 320)**2/3
Find b such that 2*b**2 - 62728*b - 125464 = 0.
-2, 31366
What is s in 5*s**4/2 + 429*s**3/2 + 170*s**2 = 0?
-85, -4/5, 0
Factor 2*r**2/13 - 2422948*r/13 + 733834626338/13.
2*(r - 605737)**2/13
Factor -4*i**4/3 + 56*i**3/3 - 196*i**2/3 + 48*i.
-4*i*(i - 9)*(i - 4)*(i - 1)/3
Determine a so that -5*a**3 - 15555*a**2 - 12167595*a - 108252045 = 0.
-1551, -9
Factor 3*o**2/2 - 1927728*o + 619355873664.
3*(o - 642576)**2/2
Factor -4*r**2 - 20552*r + 41120.
-4*(r - 2)*(r + 5140)
What is d in -48*d**4/7 - 243*d**3/7 - 63*d**2 - 345*d/7 - 99/7 = 0?
-33/16, -1
Let 6*i**3/5 - 351*i**2/5 + 2271*i/5 + 1224/5 = 0. Calculate i.
-1/2, 8, 51
Suppose -3*m**2/7 - 1023*m/7 - 7992/7 = 0. Calculate m.
-333, -8
Factor 842*j**3 + 15096*j**2 + 67122*j - 4860.
2*(j + 9)**2*(421*j - 30)
Suppose 2*t**5/15 + 32*t**4/5 + 18*t**3 = 0. What is t?
-45, -3, 0
Suppose -6*c**5/7 + 823*c**4/7 + 1572*c**3/7 - 851*c**2 - 2808*c/7 + 556 = 0. What is c?
-7/2, -1, 2/3, 2, 139
Solve -a**2/6 - 875*a/6 - 1156 = 0.
-867, -8
Factor -2*g**3/5 + 964*g**2/5 + 966*g/5.
-2*g*(g - 483)*(g + 1)/5
Factor c**4 - 195*c**3 - 2018*c**2 - 6528*c - 6560.
(c - 205)*(c + 2)*(c + 4)**2
Find g such that 5*g**3 + 4140*g**2 + 370260*g = 0.
-726, -102, 0
Let 5*r**4/6 + 3725*r**3/3 - 140440*r**2/3 + 1233955*r/3 + 918745/2 = 0. What is r?
-1527, -1, 19
Find p, given that 3*p**3/8 - 1451*p**2/8 - 4867*p/8 - 1461/8 = 0.
-3, -1/3, 487
Solve -7*q**5 - 492*q**4 - 6307*q**3 + 29010*q**2 - 24052*q - 9384 = 0.
-51, -23, -2/7, 2
Find t, given that 2*t**2/11 + 178*t/11 - 3852/11 = 0.
-107, 18
Let -2*b**5 - 47366*b**4/7 - 202686*b**3/7 + 182486*b**2/7 + 67580*b/7 = 0. Calculate b.
-3379, -5, -2/7, 0, 1
Factor 2*w**2/5 + 4288*w/5 - 177384.
2*(w - 190)*(w + 2334)/5
Find x, given that -21*x**5 - 1032*x**4 - 3783*x**3 + 6408*x**2 + 20628*x - 19440 = 0.
-45, -4, -3, 6/7, 2
Factor -y**2 + 5813*y.
-y*(y - 5813)
Suppose r**2/8 - 875*r/4 + 6872 = 0. What is r?
32, 1718
Factor j**3 - 9224*j**2 + 18445*j - 9222.
(j - 9222)*(j - 1)**2
Find u such that 2*u**3/7 + 108*u**2/7 - 342*u/7 = 0.
-57, 0, 3
Factor 3*z**3/5 - 651*z**2/5 - 11934*z/5.
3*z*(z - 234)*(z + 17)/5
Factor w**4 - 119*w**3 + 1455*w**2 + 1575*w.
w*(w - 105)*(w - 15)*(w + 1)
Suppose -8*m**5/5 - 1938*m**4/5 + 7556*m**3/5 + 43338*m**2/5 + 10332*m/5 = 0. What is m?
-246, -3, -1/4, 0, 7
Find a, given that 4*a**2 + 432*a + 10988 = 0.
-67, -41
Factor 5*w**4 + 1200*w**3 - 4880*w**2.
5*w**2*(w - 4)*(w + 244)
Factor -5*s**5 - 1070*s**4 - 1065*s**3.
-5*s**3*(s + 1)*(s + 213)
Solve q**5/5 + 1553*q**4/5 + 9257*q**3/5 - 38657*q**2/5 + 27846*q/5 = 0 for q.
-1547, -9, 0, 1, 2
Solve -3*o**5/4 + 5739*o**4/4 + 2871*o**3/2 = 0 for o.
-1, 0, 1914
What is h in -2*h**2/5 - 1062*h/5 - 1260 = 0?
-525, -6
What is x in -3*x**3 + 396*x**2 - 12471*x - 26550 = 0?
-2, 59, 75
Let -2*w**4 - 98*w**3 - 654*w**2 + 98*w + 656 = 0. Calculate w.
-41, -8, -1, 1
Suppose -2*l**4/3 - 2622*l**3 + 95210*l**2 - 547654*l/3 + 89964 = 0. What is l?
-3969, 1, 34
What is n in -3*n**4/2 + 249*n**3/2 - 1137*n**2 - 3828*n + 11232 = 0?
-4, 2, 13, 72
Find u, given that 4*u**2 - 24280*u + 508116 = 0.
21, 6049
Let 4*s**4 + 6136*s**3 - 111900*s**2 - 242192*s - 124160 = 0. Calculate s.
-1552, -1, 20
Determine p, given that 2*p**3/9 + 194*p**2/9 + 2104*p/9 - 49280/9 = 0.
-80, -28, 11
Factor -z**2 + 45788*z - 524135236.
-(z - 22894)**2
Factor 3*z**3/7 - 1797*z**2/7 + 37632*z.
3*z*(z - 343)*(z - 256)/7
What is d in 2*d**4/5 + 181*d**3/5 + 8*d**2 - 905*d - 450 = 0?
-90, -5, -1/2, 5
Factor -4*g**2 - 2312*g - 105600.
-4*(g + 50)*(g + 528)
Find z such that -3*z**3 + 4023*z**2 - 24057*z + 36045 = 0.
3, 1335
Solve -18*j**4 - 4244*j**3 + 13814*j**2 - 11464*j + 1912 = 0 for j.
-239, 2/9, 1, 2
Factor -r**3/4 + 12145*r**2/4 - 36869183*r/4 - 36881329/4.
-(r - 6073)**2*(r + 1)/4
Let -10*v**5 - 1026*v**4 - 23150*v**3 + 176466*v**2 + 495072*v - 647352 = 0. Calculate v.
-54, -3, 1, 37/5
Factor 723*f**3 + 5073*f**2 + 84*f.
3*f*(f + 7)*(241*f + 4)
Solve s**4/2 + 9*s**3/2 - 2343*s**2/2 + 4655*s/2 - 1161 = 0 for s.
-54, 1, 43
Factor -15*m**2 -
|
{
"pile_set_name": "DM Mathematics"
}
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be (-3)/(2 + -3) + j. Let a be v/(-4)*4/(-15). Put -1/4, a, 3 in ascending order.
-1/4, a, 3
Suppose -j = -s - 1, -j - 8 = 5*s + 9. Let p be ((-1)/2)/(2/20). Let b = 2 - 0. Sort b, p, j in ascending order.
p, j, b
Suppose 0 = n - s - 7 - 2, 0 = 5*n + 2*s - 66. Suppose 5*f + 4*h + 97 = 0, -2*f = 2*f - 4*h + 56. Let m = n + f. Sort m, 4, 2 in ascending order.
m, 2, 4
Let a = 3 - 0. Suppose 0 = -2*z - 4*t - 12, a*z + 15 = -0*z - 5*t. Let c = z - 2. Put 1, 3, c in ascending order.
c, 1, 3
Let w = -89 + 88. Let n be (-1 - 0) + -1*2. Let y be (-1 - (-2)/1) + 0. Sort y, n, w in descending order.
y, w, n
Let z = 4.7 - 0.7. Let v be 4/(-10) - 2/(-30). Put v, -3/2, z in descending order.
z, v, -3/2
Let v = -0.2 + 0.2. Let s = v + 1. Let u = -8 - -10. Sort 0, u, s in ascending order.
0, s, u
Let v = -1 - 1. Let m = 55 + -42.5. Let l = -12 + m. Sort v, l, -0.1 in increasing order.
v, -0.1, l
Let o be ((-6)/21)/(4/(-28)). Sort -4, -5, o in ascending order.
-5, -4, o
Let c be (-9 + 4)*(-1 + 2). Let g(s) = -s**3 + 6*s**2 + 3*s - 9. Let b be g(6). Let z = c + b. Put -2, z, 5 in increasing order.
-2, z, 5
Let t = -8/3 - -4/3. Put -1, t, 4 in descending order.
4, -1, t
Let w = 13 + -18. Sort w, 0.21, 4 in decreasing order.
4, 0.21, w
Suppose -4*l + q = -0 - 10, 5*q = -2*l + 16. Let t = -0.06 + 0.56. Put l, 0.1, t in decreasing order.
l, t, 0.1
Let t be 0 + 0 + -2 - -1. Suppose 2*s = 6*s - 4. Sort t, -3, s in increasing order.
-3, t, s
Let u be (-3)/(-3)*-13*1. Let i = -7 - u. Let g be (16/(-10))/(i/(-15)). Put g, 1, 0 in increasing order.
0, 1, g
Let a be -1*(12/2 + -1). Let k = 2 + 2. Suppose 2*r + 2*r + k = 0. Sort r, a, -4 in decreasing order.
r, -4, a
Suppose 3*w - 6 = w. Sort w, -3, 0.4.
-3, 0.4, w
Suppose 2 - 1 = -3*o - n, -3*n - 10 = 2*o. Sort o, -2, 4, 16.
-2, o, 4, 16
Let h = 0.2 + 1.8. Sort 1/7, 2/3, h in descending order.
h, 2/3, 1/7
Let c = -86 + 86.4. Put c, 0, -2/9, 0.1 in decreasing order.
c, 0.1, 0, -2/9
Let b be (12/7)/((-2)/(-7)). Let d be b + 2 - (9 + -7). Put d, 3, 1 in ascending order.
1, 3, d
Let g = -22.9 + 23. Sort g, -2/3, -4, 4.
-4, -2/3, g, 4
Let w = 466 + -468.17. Let p = 0.17 + w. Put -2/7, 1/3, p in decreasing order.
1/3, -2/7, p
Let t(a) = -a**2 - 2*a + 1. Let r be t(-2). Let k be (1 - (-1 - -3)) + r. Put -5, 2, k in decreasing order.
2, k, -5
Let r = -6.5 - -6.3. Sort 0.4, 0.5, r, 5.
r, 0.4, 0.5, 5
Let b be (6/5)/(21/70). Suppose 5*r + 4*p - 15 + 5 = 0, -3*r - 3*p = -9. Let w = r + 2. Sort w, -3, b.
-3, w, b
Suppose -40 = -v - 3*v. Let m be 4/(-10) - 1/v. Suppose -5*f + p = 6*p - 30, -f + 3*p = 10. Sort m, 5, f in descending order.
5, f, m
Suppose -41 + 44 = 3*p. Let l(h) = -h**3 + 8*h**2 - h + 5. Let o be l(8). Sort -1, p, o in descending order.
p, -1, o
Let q = -9 - -14. Let l = -6 + q. Suppose 0 = 2*o - 3 - 7. Sort o, l, 1/3 in descending order.
o, 1/3, l
Let k be (-4)/(39/42 + -1). Let v be 2/1 - k/8. Let w be (-27)/(-5) + (-2)/5. Put 4, w, v in increasing order.
v, 4, w
Suppose 25 = -4*b - 3*p, -2*p + 0*p + 2 = 0. Let u = b + 4. Let t = 0.35 - -0.05. Put -1/7, t, u in decreasing order.
t, -1/7, u
Suppose 3 = m - 5. Let y = 4 - m. Let q = 10 - 5. Sort q, y, 1 in ascending order.
y, 1, q
Let s = 2 + -2.4. Let q be ((-8)/(-24))/(4/6). Sort s, q, -3 in decreasing order.
q, s, -3
Suppose -1 = -5*f + 4. Sort f, 2, 1/7 in descending order.
2, f, 1/7
Let h be 4/(6*-2)*-3. Suppose 5*q + h = -3*o - 19, 3*q - 7 = 2*o. Sort 0, q, 6 in increasing order.
q, 0, 6
Let f = -0.06 - -0.46. Sort -1, f, 3/4 in descending order.
3/4, f, -1
Let w(l) = 3*l - 4. Let h be w(3). Let s(k) = -5*k**3 + 9*k**3 + 2*k - 5*k**3 - 5 + 3*k**2 + 2*k**2. Let c be s(h). Sort -1, -4, c.
-4, -1, c
Let f = 0.16 + -1.16. Let o = 575/44 + -130/11. Let q = 87 + -521/6. Sort q, o, f in decreasing order.
o, q, f
Suppose 16 = 6*i + 4. Suppose -2 = 2*z - 4. Let h = i - z. Put h, -3, 0 in decreasing order.
h, 0, -3
Suppose 5*o - 21 = t + 1, 2*o = -4*t. Suppose 3*d = 2*m + m + 3, 0 = -2*m - d - 2. Let v(b) = 4*b - 1. Let h be v(1). Put m, h, o in increasing order.
m, h, o
Let k be (-3)/6*(1 + -5). Put -2, k, 5 in decreasing order.
5, k, -2
Suppose -45 + 9 = 9*d. Put d, -3, 1 in decreasing order.
1, -3, d
Let z = 16.93 + -17. Let o = z - -0.07. Sort -1, o, -4/3.
-4/3, -1, o
Suppose 4*l + 2 - 22 = 0. Let j = -10 - -7. Let p be 3/(j/2) + -3. Put l, -1, p in decreasing order.
l, -1, p
Suppose 2*o - 3 = 3*a, -2*a - a = 3*o + 18. Let d = a - 4. Let u = d + 7. Sort -5, -1, u in decreasing order.
u, -1, -5
Let k = -2.07 + 0.07. Let y = 5.96 - 6. Let q = -0.24 - y. Put 0.3, q, k in increasing order.
k, q, 0.3
Let a be 18/(-4) - (-2)/4. Let n be ((-12)/(-3) - 3)*1. Suppose 0 = -5*o - 3*g - 6 + 17, 5*g - n = -4*o. Put o, -3, a in increasing order.
a, -3, o
Let d = -14 + -9. Let j = -19.2 - d. Let p = 4 - j. Put -0.1, p, -2 in decreasing order.
p, -0.1, -2
Let j(o) = o - 2. Suppose 0 = q - 3. Let x = -2 + q. Let p be j(x). Put 5, p, 2 in decreasing order.
5, 2, p
Suppose 5*o + k + 17 = -8, 4*o + 5*k = -41. Sort 4, -55, 1, o.
-55, o, 1, 4
Let y = 41 + -46. Sort -0.4, -0.5, -3, y in decreasing order.
-0.4, -0.5, -3, y
Suppose -3*t - 12 = n + 2*n, -5*n - 2 = -t. Sort n, -0.1, 5 in decreasing order.
5, -0.1, n
Let g be 4/(-16) + (-28)/16 + -1. Sort 3, 2, g.
g, 2, 3
Let g be (10/4)/((-68)/(-24) - 3). Sort 0, -5, 3, g.
g, -5, 0, 3
Let a be (-1 - 1/(-2))*6. Let y be a/6*(-8)/1. Put -4, y, -3 in descending order.
y, -3, -4
Let m = 2/21 - 3/7. Sort m, 0.5, -0.5 in decreasing order.
0.5, m, -0.5
Let o = 43/5 + -44/5. Sort -3, -1, o, 0.2.
-3, -1, o, 0.2
Suppose 2*t - 62 = -2*g, 4*t - 94 = 3*g + 65. Suppose t = -4*z + 7*j - 5*j, -36 = 4*z + 5*j. Let u = 4 + z. Sort 4, 0, u in decreasing order.
4, 0, u
Let i be ((-1)/(-14))/(1/(-8)). Let k = 286707/238 + -20509/17. Let r = 23/14 + k. Put 0.5, r, i in decreasing order.
0.5, r, i
Let l(a) be the second derivative of -a**3/6 + 3*a**2/2 - 3*a. Let y be l(4). Sort 2, y, -4 in ascending order.
-4, y, 2
Suppose 2 = -3*k - 13. Let c = 1 - -1. Suppose 5*b = -9 - 11. Put c, b, k in descending order.
c, b, k
Let y = 0.6 - 3.6. Let x = 0.11 + -2.11. Let l = y - x. Sort 1, 0.4, l in descending order.
1, 0.4, l
Suppose -37*u - 48 = -25*u. Let v be 6/(-8) + 3/(-12). Sort u, v, 0.
u, v, 0
Let d = -5 + 5. Let q be (-3 - d) + (-4 - -2). Sort q, -1, -3 in descending order.
-1, -3, q
Let a be (-1)/(-2)*0 - -1. Suppose 12 - 6 = 3*r. Suppose a = 3*v - r. Sort 3, v, -3 in descending order.
3, v, -3
Let f be ((-4)/6)/(16/(-6)). Let d be (-6)/10 + 188/380. Put d, f, 4 in decreasing order.
4, f, d
Let c = -24 + -1. Let i = c + 15. Let u = i + 5. Put -4, u, 3/2 in ascending order.
u, -4, 3/2
Let c = -15 - -14. Put 1, c, 4 in descending order.
4, 1, c
Suppose -8 = -3*n - 4*u - 1, -3*n + 5*u = 29. Let h = 12 + -7. Put n, h, -5 in descending order.
h, n, -5
Let i = 0 - -1. Let u = -8/5 + 1. Put u, i, -5 in decreasing order.
i, u, -5
Let h = -0.08 - -0.06. Let n = -1.02 - h. Let y = n - -6. Put 2, -2/5, y in descending order.
y, 2, -2/5
Let g(t) = t**2 - 13*t - 2. Let o be g(13). Let z = 0 + o. Let i be -1 - -1 - (-1 + 1). Put 3, i, z in increasing order.
z, i, 3
Let h = 1.8 - 0.74. Let q = h + -0.06. Put q, 3, 6 in decreasing order.
6, 3, q
Let d be 1/3 + 25/15. Let z(b) = -b**2 - 5*b + 1. Let h be z(-4). Suppose 0 = -o + h*v - 22, -o + 2*v + v = 14. Put o, 1, d in increasing order.
o, 1, d
Let b(q) = -q - 2. Let h be b(-4). Let r be 0 + h + 0 - -1. Suppose 20 = 5*n - 4*w, 3*w + 7 = -r*n - 8. Put n, -1, -2 in decreasing order.
n, -1, -2
Let f be ((-8)/20)/((-1)/(-25)). Let w be ((-2)/f - 0)/1. Let j = -758/7 + 108. Sort w, j, -0.6.
-0.6, j, w
Let z be ((-10)/6)/(5/(-6) - 0). Sort z, 0.2, -3 in ascending order.
-3, 0.2, z
Let l = -2.934 + -0.066. Put 3/5, l, -0.5, -4 in increasing order.
-4, l, -0.5, 3/5
Let o(w) = -2*w - 2. Let s be o(2). Let k be 6*-1*3/s. Suppose 0 = -i + 3*i. Sort i, k, -0.5.
-0.5, i, k
Suppose -j = 3*j - 28. Let v be ((-1)/j - 0)*-4. Sort 3, v, -0.5 in ascending order.
-0.5, v, 3
Let x be 6/15 - 2/5. Suppose 4*j - 5*j = 1. Let u(d) = d**2 + 5*d - 10. Let h be u(-7). Put j, h, x in increasing order.
j, x, h
Let i be 50/4*8/10. Let h = -14 + i. Suppose -5*z = -4*f + 3*f - 10, 3*f = 2*z + 9. Put z, -2, h in descending order.
z, -2, h
Let f(g) = -g**3 + 6*
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1 = 5*a - 4, 2*z = b. Solve 2*g + v = -6, a*g + 3*v = 2*v - 9 for g.
-3
Let c be 8 + 1 - (-3 - (-4)/(-1)). Solve 2*n = -5*d + 7 + 11, 0 = 5*n - 2*d - c for n.
4
Suppose 0 = -5*o - c + 56, c - 12 + 0 = -o. Suppose -o*f + 33 = -0. Suppose -g - f - 2 = a, 0 = 2*a + 10. Solve g = b + 2, 2*q + 0*b = -b for q.
1
Let n be -57*(-3)/45 + 1/5. Suppose 3*r = -n*r - 14. Let x be ((-5)/(20/12))/(2/r). Solve j - 6*j - 5*f = 0, -5*f - 8 = -x*j for j.
1
Let l(d) = 3*d**2 - 23*d - 197. Let g be l(-7). Suppose 4*x + 3*k = g, 4*x + 30*k - 109 = 29*k. Solve -c + 4*w = -3*c + 6, 4*w = 5*c + x for c.
-3
Suppose -13*m = -155 - 1. Let t be (8/(-10))/(6/30). Let v be (40/(-6))/(1/m*t). Solve 2*i = -3*a + 3*i + 4, -5*a + 5*i = -v for a.
0
Let o = -3070 - -3122. Solve 2*b + 2*c + o - 62 = 0, 4 = 4*b - 4*c for b.
3
Suppose 47 = k - 38. Let v = -83 + k. Suppose 2*n = 5*n - v*n. Solve 2*t + 2*t + q + 19 = n, -3*t - 5*q - 27 = 0 for t.
-4
Let c = -43 + 32. Let v = -11 - c. Suppose -29 = -5*t - 0*t + 4*r, -2*t + 4*r + 14 = 0. Solve d + v*d + 4*x = 8, -3*d + t*x = 27 for d.
-4
Let f be (1 + 1)*(255/6)/5. Let d = 67 - 82. Let v = d + f. Solve c - v*c - 13 = -5*g, 1 = 2*c - g for c.
2
Let d = -13329 - -13332. Solve -3*v + 4 = 2*x, d*v + 8*x = 13*x + 32 for v.
4
Let i(n) = -22 + 2 - n**2 + 2*n**2 + 2 + 8*n. Let j be i(-11). Suppose -16*c + 4 = -j*c. Solve -2*l - 3*p - 6 = 0, 3*l - c*p - 9 = 16 for l.
3
Let u be 30/4*(-10)/(-15). Let m(g) = -g - 14. Let t be m(-14). Suppose -4*l = -l - 3*h + 3, t = 4*l - 2*h - 6. Solve -l*d - 8 = -d - u*p, p - 4 = 3*d for d.
-1
Let d be 3590/(-75)*5*6/(-4). Suppose -d*h = -367*h. Solve h = 2*a + 5*k - 2 + 6, 0 = -5*a + 4*k + 23 for a.
3
Let l = 2211 - 2208. Solve -2*y + l = -3*f - 6, f - 4*y = 7 for f.
-5
Suppose 31*g = 35*g - 56. Suppose -118 = -g*d + 50. Let p(k) = k - 2. Let s be p(d). Solve -b + z = 2*z + 2, -3*b - z = s for b.
-4
Let x be (72/48)/((-9)/(-732)). Let w be x/20 - ((-66)/(-60) - 1). Suppose 0 = -r - r. Solve -4*d + 3*d = -2*n, -2*d - 2*n + w = r for d.
2
Let p(g) = 3*g**3 - 4*g**2 - 18*g + 12. Let x be p(3). Solve -3*t - x*o - 54 = -30, -5*t = -o + 22 for t.
-5
Let f be (-4)/((-20)/1) + 354/5. Suppose -25 = f*c - 76*c. Let i be (c + -14)*(10/(-3) - -2). Solve -2*s = 2*l - 3*s - i, -3*l - 4*s = -7 for l.
5
Let l be (-7 + (-152)/(-24))*42/(-7). Solve -3*u - 29 = l*v - 4, -2*v + 5*u + 7 = 0 for v.
-4
Suppose -51*y - 25*y + 142 = -5*y. Solve 4*c - 4 = 0, o - y = 2*c - 6 for o.
-2
Let b = -113 + 110. Let w be (b/6)/((-9)/54). Suppose 0 = 2*d + d - 15. Solve 5*p - w*p - l = -8, -d*p - 22 = -3*l for p.
-2
Let z(t) = -3*t**3 - t**2 + 7*t + 8. Let p be z(-1). Solve -6*x + 23 = -p*j - 11*x, 0 = -2*j - 3*x - 14 for j.
-1
Let a be -1 - (3 + -2 + 33). Let h = -20 - a. Let y be (-8)/10 - (-2698)/710. Solve -y*v = i + h, -3*i - 1 = v + 12 for i.
-3
Let d be 2 + 16 + -10 - 6. Solve -5*b = 5, 4*k - b + 13 = -d*b for k.
-3
Let s(g) = 2*g**2 - 2*g - 8. Let v be s(-2). Suppose -v*f = -m + 5, -7*m + 2*m + 25 = -2*f. Solve -6*b + 3*b - o + 9 = f, 0 = -5*b + 3*o + 15 for b.
3
Let o = -5645 + 5650. Solve -15 = -o*m + 3*x, 4*m - 2*x + 13 = 25 for m.
3
Suppose 0 = 3*l - 2*l + 23. Let x = -11 - l. Suppose 4*t - 5*o + 15 = 0, 4*t - x = -2*o - 2*o. Solve -3*g - 5 = -2*j + 2*g, t = 3*j - 3*g - 3 for j.
0
Let s be 54/36 - 135/(-10). Solve 4*m + 4*z = -0*m, -s = 5*z for m.
3
Let r be (-1)/(-6) + (-198)/(-108). Let s be (0 - r/(-10))*0. Solve -2*w - 2*x + 0*x = 2, -4*x - 16 = s for w.
3
Let c(y) = y**3 + 1. Let h be (20/6 - 4)*6. Let x(p) = -3*p**3 - 5*p**2 - 8. Let v(z) = h*c(z) - x(z). Let q be v(5). Solve -3*r - 9 = j - 4, -j + q = 0 for r.
-3
Let s(p) = -2*p**2 + 16*p + 19. Let k be s(9). Let t be (k + 0)/(-3 - 116/(-38)). Solve v - 3*u - 16 = 0, t = 4*v - 5*u - 10 for v.
1
Let r be ((-22)/(-2))/((-10)/30). Let l = -28 - r. Suppose -4*t = 5*t. Solve z = t, -4*x + l*z - 7 - 5 = 0 for x.
-3
Let x(i) = 2*i**3 - 13*i - 4*i**3 + 309*i**2 - 321*i**2 + 4 + 3*i**3. Let f be x(13). Solve -2 = 5*v - l, -v - 10 = -f*l - 2 for v.
0
Suppose 0 = 27*q - 51*q + 120. Solve 29*t - 33*t - q*r - 7 = 0, 8 = -3*t - r for t.
-3
Let t = -134 - -179. Let k be (-1 - 28/(-20))/(6/t). Suppose -v - 16 = -5*v. Solve v*d - k*r = r - 24, -d = r for d.
-3
Suppose -96*y = -3151 + 943. Solve p + y*q - 19*q - 11 = 0, -q = 2*p + 6 for p.
-5
Suppose 2136 - 766 = 274*d. Solve -2*v - 14 = 7*p - 10*p, -5*p - d*v = -15 for p.
4
Suppose 0*h + 2*h + 304 = 0. Let l = 169 + h. Solve -l = 5*z + c, -3 = 4*z + 5*c - 2 for z.
-4
Let y = -609 - -614. Suppose -h = 2*h - 24. Suppose 4*t + h = 4*l, 4*t - l = -2*l + 17. Solve 0 = t*a - 0*a - y*j - 26, a + j = -2 for a.
2
Let y = 681 + -89. Let b = 602 - y. Solve 4*q + 4*k + 8 = 0, -6*k + 2*k = -2*q - b for q.
-3
Let d be 4*(1 + (-2)/(-6) + (-52)/48). Solve -3*o + d = -g, g = -o - 3*g - 17 for o.
-1
Let d(i) = 3*i**3 - i**2 + i - 1. Let k be d(1). Suppose 283 = 16*w - 357. Suppose 0*a - 20*a = -w. Solve k*x + 8 = 2*b, 3*b + 0*b + a*x = 7 for b.
3
Let h = -100 - -112. Suppose 0*d + 6*d - h = 0. Suppose -k = 3*v + d*k - 27, 3*v = -2*k + 26. Solve -15 = -5*b + 2*j, 0 = -4*j + v + 12 for b.
5
Suppose -4*g + 19 - 3 = 0, 2*p + g = 254. Suppose -32 = -129*v + p*v. Solve 4 = -2*s + 5*w, -2*s - 3*w = -4 - v for s.
3
Let j = -14 - -28. Let i(g) = -g + 19 + 5*g - 5*g. Let x be i(j). Solve x*t + 26 = -2*l, l + 3*l = t - 8 for l.
-3
Suppose -14*n + 2 = -13*n. Let r(g) = 5*g**3 - 42*g**2 - 24*g - 15. Let p be r(9). Solve 3*z = 4*d - d + p, 0 = 4*d + n*z + 4 for d.
-2
Let i = 96 + -74. Let q = 29 - i. Suppose -h = x - 2, x = q*h - 2*h + 2. Solve b = -3*l + 6, x*b - 6 = -0*l - 4*l for l.
3
Suppose -3*f = -0*f - 9. Suppose f*s = s + 16. Solve -4*m = s, 2*c - 4*m - 3 = -1 for c.
-3
Let j be (-75)/(-100)*8/3. Solve -5*s + 3*z + j*z = -15, -2*z = 5*s + 20 for s.
-2
Let q(z) = -z**2 - 17*z - 45. Let i be q(-13). Let s(l) = l**3 + 5*l**2 - 5*l - 22. Let b be s(-5). Solve -7*m + 4*m + 21 = -b*d, -i = -4*m - 3*d for m.
4
Let m be 34/510 - (-2)/(-30). Solve -3*f - 114*h + 111*h = m, -3 = 2*f - h for f.
-1
Suppose 0 = -4*c - 3*h - 2*h + 177, -3*c + 3*h + 153 = 0. Suppose 78 = 3*k + c. Let b be (-6)/k - 18/(-5). Solve -r + 13 = -3*j - b*r, 2*r = j + 7 for j.
-5
Let o(v) = -4*v**2 - 20*v - 6. Let p(n) = -4*n**2 - 21*n - 4. Let h(c) = 5*o(c) - 6*p(c). Let w be h(-7). Solve x - 22 = 5*s, 0 = 4*x - 0*x - w for s.
-4
Let q be -2 + (-182)/(-3) - 6/9. Let t = q - 146. Let k = t + 91. Solve 2*v - 2*m - 12 = 0, -8*v + 2 = -k*v + 2*m for v.
2
Let r(w) = -6*w - 37. Let x be r(-11). Suppose x = 5*j + a - 5*a, -j + a + 6 = 0. Solve 10 = -2*k, -q - k = j + 4 for q.
-4
Suppose 2 + 0 = n, -4*d + 8 = -4*n. Suppose -d = -4*j - 20. Let o be (3 - j/16*-2)*2. Solve -3*u = -2*w + 22, o*w = 5*u + 31 + 14 for w.
5
Suppose 4*a - 5 = -29. Let f be -5 - -2 - (2 + (a - -1)). Solve -l = -b, 6 = -b + 4*l - f*l for b.
2
Let a be 19/2*(-1416)/(-114). Solve -4*d + w + 6 = 0, -5*w - 132 + a = -4*d for d.
1
Let x be (-1725)/(-105) - (3 + (-100)/28). Solve 5*a - x = -2*u, -a = u - 4 - 0 for u.
1
Suppose 853 + 101 = 9*q. Suppose 136 = 6*f + q. Solve 4*m = 4*a + 24, -f*m + 29 = -0*a - 4*a for a.
-1
Let m(z) = -z**3 - 8*z**2 + 18*z - 21. Let q be m(-10). Let w be (q/(-2))/(5/(-20))*-6. Solve -4*g = -5*l - w, 2*g - 6 = -0*g + 3*l for g.
3
Let t = -4 + 3. Suppose -31 - 54 = 17*q. Let f be t - (q + 0 + 4). Solve f = -5*y - 3*m - 7, -7 = -3*m - 4 for y.
-2
Let u(z) = 5*z**2 - 47*z + 107. Let v be u(6). Solve -13*q + 8*q = -d - 13, -v*q - 2*d = -4 for q.
2
Let v(m) = -m**2 + m. Let i(r) = -8*r**2 - 96*r + 8. Let f(w) = -i(w) + 5*v(w). Let l be f(-34). Solve -5*n + 3*c + l = c, 4*n + c = 13 for n.
4
Let g = -50 - 47. Let v = -94 - g. Suppose -3*m = r - 49, -m - r + v + 10 = 0. Solve 4*j - j = x + 8, 5*j + 3*x - m = 0 for j.
3
Let q(o) = 6*o**2 + 44*o + 43. Let a be q(-1). Solve 15 = -a*s + 5*c, 5*c + 24 = 14 for s.
-5
Let c(o) = -2*o + 22. Let r be c(11). Suppose 4*a - 7*a + 45 = r. Solve -a = 4*f - z, f + z = -5 - 5 for f.
-5
Suppose -2*k + 41 = -33. Let a = k + -38. Let w be a/((-2)/(-8)) + (24 - 17). Solve -2*o + 15 = -w*g, -2*o + 3*g + 15 = -7*o for o.
0
Suppose 28*n - 9 = 149 - 18. Solve -3*r + p = -10, r + 0*r = 2*p - n for r.
5
Let b = 349 - 346. Suppose -26 = -b*f + 5*t, -t + 4 = -2*t. Let u be 2 + (6 - 3) + 3. Solve
|
{
"pile_set_name": "DM Mathematics"
}
|
**2. Determine r(0).
104
Let d(f) = -3*f**3 - 5*f**2 + 6*f. Let i(g) = 10*g**3 + 16*g**2 - 19*g + 1. Suppose 6*l + 24 = 18*l. Let h(m) = l*i(m) + 7*d(m). Give h(-4).
2
Let p(m) = -m - 1. Let t = 85 + -82. Suppose -4*o = 5*c + 1, t*c + 0*o - 1 = -4*o. Let f(v) = 3*v + 5. Let h(g) = c*p(g) - f(g). Determine h(-7).
10
Let u(n) be the second derivative of -n**4/3 + 16*n**3/3 - 20*n**2 - 187*n - 14. Calculate u(6).
8
Let f(b) = -b**2 - 14*b - 41. Let s be (-276)/(-230) - 92/10. What is f(s)?
7
Let g(c) = -4*c**3 + 17*c**2 + 2*c - 14. Let p(s) = -2*s**3 + 6*s**2 + s - 5. Let y(h) = 3*g(h) - 8*p(h). Let z be 7 - 3/(-9)*-15. Give y(z).
38
Suppose 0 = -31*i + 35*i - 48. Let p(q) = i*q - 4*q - 2*q - 1 - 5*q. Determine p(6).
5
Let s(u) = -8 + 7 - 76*u + 75*u + 9 + 4. Give s(-5).
17
Suppose 7*q - 25 = -53. Let y(l) be the first derivative of -5*l**2/2 - 4*l + 37. What is y(q)?
16
Let c(o) = -5*o**3 - 39*o**2 - 13*o + 48. Let k(t) = 3*t**3 + 21*t**2 + 7*t - 25. Let s(h) = 4*c(h) + 7*k(h). What is s(9)?
-10
Let n(s) = 12*s**3 - s - 1. Let u(y) = -y**3 + 2*y**2 + 9*y + 29. Let c be u(5). Give n(c).
-12
Let w(k) be the first derivative of -10*k + 1/2*k**2 + 71. Determine w(7).
-3
Let v(l) = 2*l - 7. Let u be ((-2)/(-12)*9)/((-6)/(-28)). Let w be -6*u/(-21) - -5. What is v(w)?
7
Let k(b) = -35 - 7*b + 828*b**3 - 5*b - 829*b**3 + 18*b**2 - 3*b. Determine k(17).
-1
Let r(k) = 3*k + 3. Let x(s) = -5*s - 7. Let l(z) = -7*r(z) - 4*x(z). Suppose 0 = -2*w + w + 6. Determine l(w).
1
Let x(m) be the third derivative of 11*m**6/120 - m**5/60 - m**4/24 + m**3/6 + m**2 + 3*m. Let h(w) = 8*w**3 - 48*w**2 - w + 7. Let s be h(6). What is x(s)?
10
Let z(j) = j**2 + 0 - 6 + 38*j - 10*j - 28*j. Determine z(-4).
10
Let y = 726 - 727. Let z(i) = 6*i. Determine z(y).
-6
Let w(g) = -280*g - 13*g**2 - 4 + 114*g - g**3 + 143*g. Give w(-11).
7
Let l(b) = b**3 - 36*b**2 - 39*b + 88. Suppose -5*q = 3*d + 78 - 199, -2*d - 4*q = -82. Give l(d).
14
Let y(w) = -2*w**2 - 5*w - 4. Let t be y(-4). Let s(c) be the first derivative of c**4/4 + 5*c**3 - 8*c**2 - 3*c - 5149. Calculate s(t).
-3
Let a(g) = -5673*g + 2842*g + 2836*g - 7. Give a(5).
18
Let f(w) be the third derivative of 1/60*w**5 + 6*w + 0*w**4 - w**2 - 1/6*w**3 + 0. Calculate f(-1).
0
Let u(s) = 8*s + 85. Suppose 7*z + 43 + 72 = 38. Give u(z).
-3
Let n(y) = -18*y - 60. Let v(t) = 29*t**3 + 23*t**2 + 9*t + 9. Let c be v(-1). Determine n(c).
48
Let n(z) = 34372*z - 2 - 34377*z + 10 + z**3 + z**2. Determine n(0).
8
Let d(p) = -10*p + 36. Let g be d(3). Let n(j) = -6*j + 0*j + 3 - j**3 + 2*j - 3*j**2 - g. What is n(-2)?
1
Let p(y) = 19*y - 9*y + y - 7*y - 5*y. Suppose 5*j + 3 = 18, 6 = -3*i + 3*j. Let t = -7 + i. Give p(t).
6
Let x(u) be the first derivative of 6 + 1/2*u**2 + 4*u. Suppose -4 = 3*t - t. Calculate x(t).
2
Let w(q) = -146 - 22 + 5*q - 163*q + 3*q**2 - 29*q + 22*q. What is w(56)?
0
Suppose 5*v - 77 - 163 = 0. Let l = -46 + v. Let h(c) = -4 - 5*c - 4*c**2 + 0*c + 3*c**2 + 3*c**l. What is h(4)?
8
Let g(c) = -47*c - 39. Let a(m) = -45*m - 33. Let s(z) = 6*a(z) - 5*g(z). Determine s(0).
-3
Let z(p) = 20 + 3*p - 21 + 3*p + 3*p - 8*p. Suppose 0 = 2*h - 3*i + 12, -4*i + 8 = -4*h - 2*i. Let s be (h - (-3 + 0)) + -2. Calculate z(s).
0
Let z(r) = -r**2 - 8*r + 5. Let x(p) = -p**2 + 6*p + 468. Let f be x(-19). Determine z(f).
12
Suppose 0 = -2*f - 8. Let o(r) be the second derivative of 0*r**2 - 1/3*r**3 + 0 + 10*r. Give o(f).
8
Let y(r) = 2*r + 10 - 11 - 4. Let t(h) = h**3 + 9*h**2 - 9*h + 17. Let v be t(-10). Suppose 0 = 2*g - 5*d - 33, -v*g + 5*d + 41 = -3*g. What is y(g)?
3
Suppose 3*o + 3*b + 702 = -11574, o + 2*b = -4088. Let i be o/(-416) + 4/26. Let h(j) = -j**2 + 13*j - 15. Calculate h(i).
15
Let l = -1335 - -1351. Let i(k) = 3*k**2 - 49*k - 2. Determine i(l).
-18
Suppose 0 = 10*c - 33 + 13. Suppose -8 = 2*y, 2*y - 34 - 4 = -c*w. Let m(h) = 14*h + 18*h**2 + 8*h - w*h - 1 - 4*h**2. What is m(-1)?
14
Let m(l) = l**3 - 5*l**2 - 8*l + 9. Let b = -116 - -119. Let h be 25/4 + 1/(-12)*b. Determine m(h).
-3
Let c(h) be the third derivative of -h**4/8 + h**3/2 - 131*h**2 - h. Suppose 6*x - 12 + 54 = 0. Give c(x).
24
Let s(n) = n**2 + 9*n + 76. Let v be s(-16). Let u = v - 182. Let d(p) = p**2 - 3*p + 1. Calculate d(u).
19
Let b(q) = -2*q**3 - 8*q**2 - 4*q - 9. Let o = -5189 - -5185. What is b(o)?
7
Let a = 14 - 19. Let l(t) be the first derivative of -3*t**2/2 - 7*t - 121. Give l(a).
8
Let r(w) = -4*w**2 + 32671*w**3 - 32670*w**3 - 11 + 4*w + w. Calculate r(6).
91
Let x(g) be the second derivative of g**5/20 - g**4 - 13*g**3/3 - 13*g**2/2 + 1416*g. Calculate x(14).
15
Let q(j) = -j**3 + 8*j**2 + 2*j - 16. Let h be q(8). Suppose 5*b - 5*i = -0*b - 45, 4*b - i + 36 = h. Let g(s) = -s**3 - 8*s**2 + 8*s - 11. Give g(b).
-2
Let j(v) be the second derivative of v**5/20 + 5*v**4 - 29*v**3/3 + 187*v**2/2 - 45*v - 12. Give j(-61).
4
Suppose r = 4*y + 10 - 6, 0 = 5*r - 3*y - 20. Let s(a) be the first derivative of r*a - 22 + 7/2*a**2. Determine s(3).
25
Let n(v) = -17*v**2 - v. Suppose 3*r = 672 - 618. Suppose 10*y - 28*y = r. Give n(y).
-16
Let v(c) = -2*c**3 - 63*c**2 - 359*c + 26. Let i be v(-24). Let j(a) = -35*a**2 + 11*a - 4. What is j(i)?
-122
Let l(k) = -2*k**2 - 35*k - 11. Let x be l(-17). Suppose -4 - x = r - 4*s, -10 = -5*s. Let y(a) = a**2 + 5*a + 2. Give y(r).
-4
Let t = -848 - -847. Let a(g) be the third derivative of 0*g + 0 + 7*g**2 + 0*g**4 + 1/6*g**5 - 1/6*g**3. Give a(t).
9
Let y(k) = k + 143 - 51 - 49 - 42. Suppose -15 = 5*q - 5*z, 2*q + 5*z - 45 + 16 = 0. Suppose 4*s = -q*h - 12, -4*h + h + 2 = 2*s. Give y(s).
-4
Let q(x) = 6*x - 28. Suppose -21*i = r - 23*i - 7, -4*i + 63 = 5*r. Determine q(r).
38
Let h be (19/(-5))/(0 + 3/(-45)). Suppose -h = 7*d - 8. Let i(g) = 4 - 3*g**2 - 10*g - 14 + 2*g**2. Calculate i(d).
11
Let v(z) be the first derivative of z**5/10 + z**4/4 - z**3/6 - z**2 + 85*z - 143. Let b(p) be the first derivative of v(p). Calculate b(-2).
-4
Let f(a) = 14*a**2 - 3*a + 3. Suppose -7*r + 52 - 25 = 13. Calculate f(r).
53
Let s(m) = m**3 + m**2. Let z(t) = -t**2 - 13*t + 2. Let v be z(-13). Let i(o) = -3*o**3 - 12*o**2 - 3*o - 11. Let y(f) = v*s(f) + i(f). What is y(-10)?
19
Suppose 3*h = i - 32, -2*i + 6*i = 5*h + 114. Let v(l) = -i + 8*l + 50 - 23. What is v(2)?
17
Let q(b) = -b**3 - 18*b**2 - 79*b - 2. Let g be q(-10). Let v(x) be the third derivative of x**4/12 + 3*x**3/2 - 4*x**2. Calculate v(g).
-15
Let z(y) = y + 20. Let q = -3826 + 3818. What is z(q)?
12
Let p(k) = k**3 + 82*k**2 + 116*k + 2838. Let g be p(-81). Let o(l) be the first derivative of l + 1/4*l**4 + 3/2*l**2 + 5/3*l**g + 5. Calculate o(-4).
5
Let z(a) = -20*a**3 + 7*a**2 - 16*a + 27. Let f(v) = -11*v**3 + 4*v**2 - 10*v + 14. Let d(x) = -9*f(x) + 5*z(x). Give d(-3).
-3
Let v(l) = -60*l**2 + 220*l**2 - 15 - 158*l**2 - 4*l. Determine v(-6).
81
Let m(z) = -5*z - 13. Let x(a) = -7*a - 8. Let p(r) = 3*m(r) - 2*x(r). Determine p(7).
-30
Suppose 0 = a + 3 + 4. Let l(q) be the second derivative of q**4/12 + 5*q**3/6 - 7*q**2/2 + 116*q. What is l(a)?
7
Let r(z) = 116 + 6*z + 145 - 346 + 140. What is r(-6)?
19
Let j(h) = h + 5. Suppose -b = s + 4, -5*b + 10*s = 5*s - 20. Suppose b = -7*p - 9 + 2. Let f be p + (0 - (5 - 1)). Calculate j(f).
0
Let s be (16/(-448)*-14)/(1/34). Let w(j) = j**3 - 18*j**2 + 20*j - 10. Determine w(s).
41
Let t(u) = u**3 + 15*u**2 - 4*u + 5. Let s be -18 + 3/6*-3*(7 - 9). Give t(s).
65
Suppose -5*p - 119 = -2*h + 204, -3*h + 527 = p. Let g = -169 + h. Let c(r) = r**2 - 7*r + 6. Give c(g).
-4
Let y(o) = -2*o**3 - 58*o**2 + 3*o + 84. Let k be y(-29). Let p(s) = 14*s + 42. What is p(k)?
0
Let n(p) = -p**2 + 14*p + 13. Let j be n(14). Let s = -5 + j. Let k(m) = -38*m + 36*m - 1 + 8 - 2. What is k(s)?
-11
Suppose 0 = -4*w + 12, f - 6*f - 5*w + 10 = 0. Let s(r) = -4*r + 13. Let b(g) = -g + 3. Let k(i) = -9*b(i) + 2*s(i). Determine k(f).
-2
Let t be (9/(-7))/(-9 - (-1722)/196). Let y(h) = -3 - 3 + 16*h - 1 - 9*h - t*h. Give y(9).
2
Suppose 43*a - 38*a + 30 = 0. Let b be a/(-2 + 4) + (-34 - -42). Let u(c) = c + 14. Let t(y) = -7. Let i(p) = 7*t(p) + 3*u(p). Give i(b).
8
Let l(t) = -t**2 + 7*t + 1. Suppose -2*o = -0*o - 5*w + 19, -5*w = 5*o + 135. Let j(i) = i**3 + 23*i**2 + 23*i + 27. Let s be j(o). Determine l(s).
11
Let n(r) be
|
{
"pile_set_name": "DM Mathematics"
}
|
09 - 318*h**3 + 3*h**5 - 234 + 870*h**2 - 975*h - 5*h**5 + 51*h**j.
-3*(h - 5)**3*(h - 1)**2
Let s be -54 - ((-55 - 46) + 44). Factor 0 + 0*h + 1/3*h**2 + 1/3*h**4 - 2/3*h**s.
h**2*(h - 1)**2/3
Let q be ((-6)/(-8))/((-1)/(40/(-5))). Let p = 8 - q. Factor -u + 0*u + 10*u**4 - 8*u**5 + 6*u + 3*u**5 - 10*u**p.
-5*u*(u - 1)**3*(u + 1)
Factor h**4 - 80*h**3 + 146*h**3 - 2*h**4 - 169*h**2 + 10648*h - 736*h**2 - 547*h**2.
-h*(h - 22)**3
Suppose 0 = -106*x - 210017 + 210335. Factor -57/2*k**2 + 0*k + 3/2*k**x + 0.
3*k**2*(k - 19)/2
Factor 0*m + 81/5*m**2 + 1/5*m**3 + 0.
m**2*(m + 81)/5
Let a = -110772 + 110776. Let g**5 - 1/3*g**a + 0*g**2 + 0 + 0*g + 0*g**3 = 0. What is g?
0, 1/3
Let h be 24/(-204) - 1228/(-34). Let n = 3 - -1. Solve -21*y**3 - 60*y + 12 - 7*y**4 - h + n*y**4 - 54*y**2 = 0.
-2, -1
Let u(j) be the first derivative of -4*j + 2*j**2 - 2*j**4 + 2/3*j**6 + 8/3*j**3 - 21 - 4/5*j**5. Suppose u(w) = 0. What is w?
-1, 1
Let t(w) = 7*w**3 + w**2 - 3*w - 6. Let p(x) = -2*x**3 + 1. Let r(k) = -4*p(k) - t(k). Let h be r(0). Factor -2*m**3 + 1/4*m**h + 0 + 0*m + 4*m**4.
m**2*(4*m - 1)**2/4
Let q = -756 + 1316. Find m such that -q*m - 38 - 282 + 511*m**3 + 39*m**3 + 10*m**5 - 155*m**4 + 475*m**2 = 0.
-1, -1/2, 1, 8
Let n(g) be the third derivative of g**6/120 + 81*g**5/20 - 123*g**4/4 + 1657*g**2. Factor n(b).
b*(b - 3)*(b + 246)
Let r(u) be the second derivative of 52*u**6/165 + 79*u**5/22 - 201*u**4/11 + 436*u**3/33 - 40*u**2/11 - 1671*u. Suppose r(o) = 0. Calculate o.
-10, 2/13, 1/4, 2
Suppose -n = n - 10. Let z be -17 + 22 - -17 - 5. Solve -80*x**n + 20*x**3 + x**4 + 84*x**5 - 8*x**2 - z*x**4 = 0 for x.
0, 1, 2
Suppose 2*a = 2*m + 2, 3*m + 3*a = -155 + 176. Let b(l) be the first derivative of -16 + m*l**2 - 2/3*l**3 - 4*l. What is y in b(y) = 0?
1, 2
Let n(s) be the second derivative of -s**6/345 - 2*s**5/115 + 16*s**3/69 + 16*s**2/23 + 1821*s. Determine h so that n(h) = 0.
-2, 2
Let i(b) be the second derivative of 0 + 5/6*b**3 - 1/24*b**6 - 1/12*b**5 + 5/24*b**4 - 2*b**2 + 19*b. Let p(m) be the first derivative of i(m). Factor p(l).
-5*(l - 1)*(l + 1)**2
Let b(n) = 21*n**3 - 405*n**2 - 444*n. Let v(c) = -5*c**3 + 101*c**2 + 110*c. Let t(d) = -2*b(d) - 9*v(d). Solve t(i) = 0.
-1, 0, 34
Let a(j) be the second derivative of -j**4/12 - j**3/6 + 3*j + 19. Let d(m) = -3*m**3 + 7*m**2 - 5*m. Let p(l) = 5*a(l) - d(l). Let p(u) = 0. What is u?
0, 4
Let d(r) = 431*r + 6. Let u be d(0). Let c(h) be the second derivative of 1/70*h**u + 0*h**2 + 1/28*h**4 - 12*h + 0 + 0*h**3 + 3/70*h**5. Factor c(x).
3*x**2*(x + 1)**2/7
Let k(j) be the third derivative of j**7/42 - 40*j**6/3 - 967*j**5/12 - 1615*j**4/12 + 12*j**2 + 2*j - 242. Factor k(u).
5*u*(u - 323)*(u + 1)*(u + 2)
Let p = -889 - -914. Suppose 4*y + p*y = 58. Factor -2*s - 2/3*s**y + 0.
-2*s*(s + 3)/3
Find p, given that 881/5*p**2 + 354*p - 252/5 + 283/10*p**3 + 3/2*p**4 = 0.
-7, -6, 2/15
Let k = -39301/558 + 4477/62. Factor -2/9*t**3 + 0 - 4/9*t**2 + k*t.
-2*t*(t - 2)*(t + 4)/9
Let c be 20/(-18)*(72/54 - 654/450). Suppose -c*n**4 + 2/15*n**2 + 8/15*n - 8/15*n**3 + 0 = 0. What is n?
-4, -1, 0, 1
Factor -9/5*g - 22/5 + 1/5*g**2.
(g - 11)*(g + 2)/5
Suppose 459 - 289 = -39*y + 248. Solve 1/3*k**y + 64/3 - 16/3*k = 0 for k.
8
Let j(q) be the second derivative of -q**4/4 - 191*q**3/2 - 6337*q. Solve j(m) = 0 for m.
-191, 0
Let z(c) be the first derivative of c**6/180 + c**5/15 + 19*c**3 + 26. Let y(t) be the third derivative of z(t). Factor y(k).
2*k*(k + 4)
Suppose 10*d - 5*s = 8*d + 21, 2*d - 3 = -s. Let c(y) be the first derivative of 0*y - 1/3*y**2 + 1/9*y**d + 10. Let c(a) = 0. What is a?
0, 2
Let o = 246 + -234. Let z(x) be the third derivative of 0*x + 0*x**5 + 0*x**4 + 0*x**3 + 0 - 1/672*x**8 + 1/140*x**7 + 0*x**6 - o*x**2. Factor z(f).
-f**4*(f - 3)/2
Let d(v) be the third derivative of -6*v**3 + 7 + 1/4*v**5 + 3/40*v**6 - 2*v**4 + 0*v + v**2. Factor d(z).
3*(z - 2)*(z + 3)*(3*z + 2)
Let h be (-74 - -3) + 72 + 1. What is n in 132/7 + 144/7*n**3 + 400/7*n + 4/7*n**4 + 408/7*n**h = 0?
-33, -1
Let l(n) be the second derivative of 25/24*n**4 + 5/6*n**3 - 15/2*n**2 + 11*n + 1/3*n**5 + 0. Let d(r) be the first derivative of l(r). Factor d(c).
5*(c + 1)*(4*c + 1)
Let z(h) be the second derivative of -2*h**6/15 - 61*h**5/5 - 371*h**4 - 3618*h**3 - 8748*h**2 - 2058*h - 2. Suppose z(n) = 0. Calculate n.
-27, -6, -1
Let g = 79064/6531 - -301/933. Factor -33/7*x**2 - 54/7 + g*x.
-3*(x - 1)*(11*x - 18)/7
Let d = -76 + 95. Find t, given that 4*t**3 - d*t**2 - 12*t**2 - t**2 + 64*t = 0.
0, 4
Suppose -168/17 + 2/17*z**2 + 88/17*z - 2/17*z**3 = 0. What is z?
-7, 2, 6
Let x = -696 - -483. Let l = 215 + x. Factor -4/7*n**l - 8/7*n + 12/7.
-4*(n - 1)*(n + 3)/7
Let j = -308 + 361. Factor 22 + 52*w - j + 51 + 5*w**2.
(w + 10)*(5*w + 2)
Let d(v) be the third derivative of -v**5/135 + 5*v**4/2 - 268*v**3/27 - 1280*v**2. Find p such that d(p) = 0.
1, 134
Suppose -7 = 3*z - 2*d + 59, -4*z - 111 = 5*d. Let c(g) = g**2 + 24*g + 2. Let h be c(z). Factor 4*b**4 - b + h*b + 12*b**2 - 4*b - 12*b**3 - b.
4*b*(b - 1)**3
Factor 353/2*p + 124609/4 + 1/4*p**2.
(p + 353)**2/4
Let k(h) = -65*h**2 + 550*h - 3540. Let a(c) = -8*c**2 + 70*c - 443. Let m(g) = -25*a(g) + 3*k(g). Factor m(y).
5*(y - 13)*(y - 7)
Let j(h) = -h**2 + 19*h - 86. Let f be j(8). Let b(w) be the first derivative of 2/13*w**4 + 0*w**3 - 16 + 0*w**f + 2/65*w**5 + 0*w. Factor b(v).
2*v**3*(v + 4)/13
Let m(j) = -24*j**3 - 212*j**2 - 380*j + 144. Let v(s) = -9*s**3 - s**2 + 2*s - 2. Let d(h) = m(h) - 4*v(h). Solve d(a) = 0.
-2, 1/3, 19
Let k be 2/7*1*(12 + 2). Let f be 0 + k - (-2060)/110. Suppose f - 2/11*q**3 - 150/11*q + 30/11*q**2 = 0. What is q?
5
Let l(r) be the second derivative of -680805*r**7/14 + 131733*r**6/2 - 122985*r**5/4 + 18015*r**4/4 + 380*r**3 + 10*r**2 + 187*r + 5. Solve l(w) = 0.
-2/123, 1/3
Let z(c) = -40*c - 239. Let l be z(-9). Let -20*a**4 + 108*a**2 + 2 - 20*a - 209*a**2 - 2 + l*a**2 + 5*a**5 + 15*a**3 = 0. Calculate a.
-1, 0, 1, 2
Let q be (-44)/(-20)*140/231. Suppose -q - 2*f**3 + 2*f + 2/3*f**2 + 2/3*f**4 = 0. Calculate f.
-1, 1, 2
Let u(h) be the second derivative of -h**5/15 + 16*h**4/9 + 2020*h. Suppose u(b) = 0. What is b?
0, 16
Let t(l) be the second derivative of -l**5/60 + 97*l**4/36 - 47*l**3/9 - 32*l**2 - 6763*l. Factor t(c).
-(c - 96)*(c - 2)*(c + 1)/3
Solve -57/4*d**2 - 27/2*d + 7/4*d**3 - 1/4*d**5 + 0 + 9/4*d**4 = 0 for d.
-2, -1, 0, 3, 9
Let r = -36477 - -109432/3. Factor r*w**5 + w**3 + 0*w - 4/3*w**4 + 0*w**2 + 0.
w**3*(w - 3)*(w - 1)/3
Let f = -29 + 29. Suppose -8 = -4*c, 3*l + 4*c - 23 = -f*l. Factor -12*k + 10 - 11*k + 31*k - 23*k + l*k**2.
5*(k - 2)*(k - 1)
Let w be 67/(14070/60) - (-278)/56. Let 3/4*b**3 - 9/4*b**4 - 3/4*b**5 + 0*b + w*b**2 - 3 = 0. What is b?
-2, -1, 1
Let j(x) be the second derivative of x**5/12 - 67*x**4/36 - 25*x**3/9 + 56*x**2/3 - 71*x - 11. Determine k so that j(k) = 0.
-8/5, 1, 14
Let m(g) = -153*g**3 - 1467*g**2 - 2210*g + 1214. Let b(t) = -128*t**3 - 1468*t**2 - 2212*t + 1216. Let s(i) = 5*b(i) - 4*m(i). Factor s(f).
-4*(f + 2)*(f + 51)*(7*f - 3)
Let w(s) be the second derivative of -44/9*s**3 - 484/3*s**2 - 1/18*s**4 - 1 - 3*s. Factor w(z).
-2*(z + 22)**2/3
Let v(k) be the first derivative of 0*k**3 + 1/3*k**4 + 121 + 0*k + 0*k**2 + 2/75*k**5. Factor v(r).
2*r**3*(r + 10)/15
Let m = 86 - 86. Factor 3*k**2 + m*k**2 - 1 + 8*k - 2*k - 8.
3*(k - 1)*(k + 3)
Let q(y) = y**2 - 7*y + 18. Let h be q(6). Let d be (-3)/h - (-2 + (-93)/(-60)). Factor -1/5*s**3 - d*s**2 + 1/5 + 1/5*s.
-(s - 1)*(s + 1)**2/5
Let p(c) be the third derivative of -c**6/40 + 47*c**5/10 - 91*c**4/2 + 180*c**3 - 2129*c**2. Suppose p(n) = 0. What is n?
2, 90
Suppose -8*a + 7*a = -n - 1, -4*a + 10 = 2*n. Let g be (172/112 + (-15)/(-20))*a. Find x such that g*x**2 - 12/7*x**3 + 0 - 16/7*x = 0.
0, 2/3, 2
Let l(q) be the first derivative of -17*q**6/840 - q**5/28 + q**4/84 - 19*q**2/2 - 20. Let f(z) be the second derivative of l(z). Factor f(v).
-v*(v + 1)*(17*v - 2)/7
Let j = 182 - 179. Let 26*d - 7*d - 112*d - 25 - 35*d**2 - 5*d**j + 0*d**3 + 38*d = 0. What is d?
-5, -1
Let y be (-44)/24 - (7 + 164/(-24)). Let g be 4 - 10/30*y. Factor -44/3*r - g - 2*r**2.
-2*(r + 7)*(3*r + 1)/3
Let y(u) = 20*u**3 + 6748*u**2 + 574485*u + 1122246. Le
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{
"pile_set_name": "DM Mathematics"
}
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of d**2 + 1. Determine v(m(w)).
4*w
Let t(c) = -c. Let f(i) be the first derivative of -7*i**2 + 7. Determine t(f(h)).
14*h
Let x(y) = 7*y**2 - 5*y. Let m(j) = -22*j**2. Determine x(m(n)).
3388*n**4 + 110*n**2
Let r(w) = -4*w**2 + 9*w**2 + 6*w**2 - 5*w**2. Let k(y) = 6*y + 4. Let l(n) = 11*n + 7. Let d(j) = -7*k(j) + 4*l(j). Give d(r(o)).
12*o**2
Suppose 2*o + 2*o - 60 = 0. Let y(f) = 2*f + 15 - o. Let a(t) = 3*t. What is y(a(r))?
6*r
Suppose 5*i - 26 + 8 = j, 2*i - 9 = j. Let k(d) = -3*d + 2*d**2 + i*d + d**2. Let r(t) = -3*t**2. What is r(k(w))?
-27*w**4
Let q(w) = 8*w. Let p(d) be the second derivative of 11*d**4/12 - 3*d. What is q(p(v))?
88*v**2
Let l(h) = h**2. Let j(r) = -4*r - 1. Let f(t) = -1. Let m(b) = -2*f(b) + 2*j(b). Calculate l(m(u)).
64*u**2
Let v(y) = -4*y**2 + y**2 - 13*y**2 - 12*y**2 - 1. Let d(b) = b**2. What is d(v(i))?
784*i**4 + 56*i**2 + 1
Let d(k) be the third derivative of k**4/8 + 21*k**2. Let o(z) = -14*z**2. Determine d(o(g)).
-42*g**2
Let k(p) = -2*p**2. Let r(x) = -13*x**2 + 4*x + 4. Let q(t) = -130*t**2 + 39*t + 39. Let g(a) = -4*q(a) + 39*r(a). Calculate k(g(i)).
-338*i**4
Let f(w) = -5*w**2 - 3*w. Let d(l) = -11*l**2 - 5*l. Let y(q) = 3*d(q) - 5*f(q). Let p(n) = -2*n**2. Give p(y(k)).
-128*k**4
Let u(d) be the second derivative of -7*d**3/3 + 4*d. Let o(k) = 2*k. Calculate o(u(v)).
-28*v
Let d(h) be the first derivative of 2*h**3/3 - 6. Let y(u) be the second derivative of u**3/2 - u. Give d(y(q)).
18*q**2
Let c(f) = -5*f**2 - 4*f - 4. Let n(l) = -4*l**2 - 3*l - 3. Let w(s) = -3*c(s) + 4*n(s). Let p(o) = -o**2. Calculate p(w(b)).
-b**4
Let f(r) = r**2. Let c(u) = -7569*u**2. Give c(f(z)).
-7569*z**4
Let i(u) = -13*u - 1. Let z(b) = 17*b + 1. Calculate i(z(r)).
-221*r - 14
Let j(k) = 48*k**2 - 33*k. Let u(x) = 0*x - 5*x**2 + 2*x + 2*x**2. Let h(f) = -2*j(f) - 33*u(f). Let v(g) = -3*g. Determine v(h(q)).
-9*q**2
Let h(j) = j. Let a(l) = -886*l. What is a(h(w))?
-886*w
Let v(h) = 3*h. Suppose 0 = -n + 3*n. Suppose j - 5*j = n. Let b(w) = w - w + w + j. What is v(b(o))?
3*o
Let m(z) = 3*z. Let a(h) = 2*h + 19. Determine m(a(p)).
6*p + 57
Let o(y) = -4*y - 8. Let k(v) = 1. Suppose -p = -4 - 4. Let c(j) = p*k(j) + o(j). Let q(w) = -2*w**2. Calculate q(c(s)).
-32*s**2
Let c(y) = -3*y**2. Suppose 14 = 5*q - 0*j + j, -j = -q - 2. Let s(x) be the first derivative of 0*x - 1 + 0*x**q - 2/3*x**3. Determine c(s(m)).
-12*m**4
Let k(j) = -20*j**2 - 14. Let w(r) = -7*r**2 - 5. Let l(f) = -5*k(f) + 14*w(f). Let o(x) = -3*x. Calculate o(l(z)).
-6*z**2
Let t(c) = -2*c. Suppose f = -f + 2. Let y(s) = s. Let h be y(f). Let r(u) = -u + 1 - h. Determine t(r(p)).
2*p
Let q(j) = -j**3 + j**2 + j + 2. Let z be q(0). Suppose 5*w - z*w - 6 = 0. Let x(m) = -3*m**2 + m**2 + w*m**2 + m**2. Let g(u) = -4*u**2. Determine g(x(k)).
-4*k**4
Let q(v) = -467*v. Let d(i) = 4*i**2. What is q(d(l))?
-1868*l**2
Let s(t) be the third derivative of -t**5/12 - 3*t**2. Let n(a) = 13*a**2. Let v(p) = -3*p**2. Let r(w) = -4*n(w) - 18*v(w). What is s(r(b))?
-20*b**4
Let d(y) = -2*y. Let u(k) = -164*k**2. Calculate u(d(q)).
-656*q**2
Suppose -4 = -2*o - 0*o. Let h be o*1*(-30)/(-12). Let w(r) = -4*r + 2*r + h*r. Let p(y) = -y**2. Give p(w(m)).
-9*m**2
Let z(k) = 2*k**2. Let l(j) = -7*j + 1. What is l(z(t))?
-14*t**2 + 1
Let y(q) = -960*q**2. Let m(s) = 5*s. What is m(y(t))?
-4800*t**2
Let g(q) = 30*q**2. Let w(j) = -5*j**2. Determine w(g(y)).
-4500*y**4
Let h(y) = -y - 4 + 4. Let j(k) be the first derivative of k**4/3 + 4*k - 2. Let w(b) be the first derivative of j(b). What is w(h(u))?
4*u**2
Let y(i) = -302*i. Let a(l) = -2*l**2. Calculate a(y(g)).
-182408*g**2
Let c be (1/(-6))/(6/(-36)). Let f(d) = -7*d + c - 1. Let r(s) = 2*s**2. Calculate r(f(m)).
98*m**2
Let m(w) = 1702*w. Let p(b) = -2*b**2. Calculate p(m(l)).
-5793608*l**2
Let k(c) = 3*c. Let n(p) = -5*p. Let u(z) = 7*k(z) + 4*n(z). Let s(y) be the first derivative of 2*y**2 - 1. What is u(s(h))?
4*h
Let d(u) = 9*u**2 - 3*u**2 + 3*u**2. Let i(y) = 2*y**2. Give d(i(s)).
36*s**4
Let a(k) = 3*k. Let v(q) = -q - 4. Let y(h) = -4*h - 14. Let i(g) = 14*v(g) - 4*y(g). Determine i(a(r)).
6*r
Let z(m) = 115*m. Let b(o) = 2*o**2. What is b(z(f))?
26450*f**2
Let b(v) = 6*v. Let z(y) be the first derivative of -2*y**3/3 + 13. Determine z(b(m)).
-72*m**2
Let g(c) = -c - 2*c + 10*c - c. Let n(q) be the first derivative of -q**4/6 - 2*q - 1. Let m(r) be the first derivative of n(r). Calculate g(m(h)).
-12*h**2
Let j be (-5)/(-1) - (5 - 3). Let w(t) = 0*t**2 + j*t**2 + 0*t**2. Let z(l) = -3*l. Calculate w(z(y)).
27*y**2
Let y(r) = 2516*r**2. Let v(u) = 2*u. Give y(v(o)).
10064*o**2
Let r(n) = 3*n**2. Let b(y) = 265*y + 2 - 262*y - 2. Calculate b(r(i)).
9*i**2
Let b(d) = 46*d. Let c(m) = -3*m**2 + 4*m + 4. Let v(x) = 2*x**2 - 3*x - 3. Let t(r) = -3*c(r) - 4*v(r). Determine t(b(y)).
2116*y**2
Let r(f) = 2*f**2. Let m(w) = 22*w**2 - 3*w + 3. Let d(h) = 66*h**2 - 8*h + 8. Let k(l) = -3*d(l) + 8*m(l). Give r(k(a)).
968*a**4
Let f(s) = 5*s**2. Let a(n) = 4*n**2. Let b(t) = -6*a(t) + 5*f(t). Let k(r) be the first derivative of -1 + 0*r**2 + 0*r - 2/3*r**3. Calculate k(b(y)).
-2*y**4
Let v(d) = -3*d. Let l(q) be the second derivative of 2*q - 1/3*q**3 + 0*q**2 + 0. Calculate v(l(u)).
6*u
Let h(w) = 2*w. Let n(x) = 3*x + 8*x + x. What is h(n(b))?
24*b
Let k(p) be the third derivative of -p**5/60 - p**2. Let o(t) = -15*t**2. What is k(o(z))?
-225*z**4
Let r(w) = -w**2 + w. Let t(c) = 2*c**2 - 4*c. Let n(j) = -4*r(j) - t(j). Let l(s) = 3*s. Give l(n(y)).
6*y**2
Let m = 61 + 1. Let v(j) = -9*j**3 - 4*j**2 - 2*j + 2. Let y be v(-2). Let u(b) = -m + y - 3*b**2. Let w(g) = g. Calculate w(u(f)).
-3*f**2
Let q(x) = 7*x. Let u(w) = 143*w**2. Determine q(u(c)).
1001*c**2
Let p(o) = -38*o + 3. Let k(n) = -40*n + 1. What is p(k(l))?
1520*l - 35
Let q(j) = j**2. Let k(l) be the third derivative of 3*l**2 + 0 + 7/24*l**4 + 0*l**3 + 0*l. What is k(q(x))?
7*x**2
Let b(y) = 0*y**2 + y**2 + 0*y**2. Let n(j) = -j**2 - 5*j. Let u(c) = c**2 + 3*c. Let k(r) = -3*n(r) - 5*u(r). Calculate k(b(s)).
-2*s**4
Let t(w) be the third derivative of -w**4/12 + w**2. Let x(g) be the third derivative of g**5/60 - 11*g**2. What is t(x(q))?
-2*q**2
Let d(p) = p. Let b(j) = j**2 + 1. Let x(l) = -21*l**2 - 15. Let q(m) = 15*b(m) + x(m). Give d(q(s)).
-6*s**2
Let b(j) = -20*j. Let l(w) = 42*w**2. What is b(l(u))?
-840*u**2
Let b(v) be the second derivative of 0*v**2 - 1/6*v**3 + 2*v + 0. Let x(a) = a. What is b(x(h))?
-h
Let w(u) = 2*u**2. Let t(j) = -3*j**2 + 4*j + 4. Let f(c) be the first derivative of c**3/3 - c**2/2 - c - 6. Let y(n) = -4*f(n) - t(n). What is y(w(z))?
-4*z**4
Let w(t) = -t. Let x(b) = 9*b - 5. Let a(g) = 9*g - 4. Let f(u) = 5*a(u) - 4*x(u). What is w(f(z))?
-9*z
Let h(c) be the first derivative of 2*c**2 + 3. Let t(a) = 2*a**2. Give h(t(p)).
8*p**2
Let i(q) = 8*q**2 + 6*q + 6. Let g(o) = -o**2 - o - 1. Let r(c) = -6*g(c) - i(c). Let n(x) = -5*x. Calculate n(r(d)).
10*d**2
Let j(b) = -2*b**2. Let u(z) be the second derivative of -2*z**4/3 - 5*z. Determine j(u(i)).
-128*i**4
Let d(s) = 18*s. Let x(z) = z**2. What is d(x(v))?
18*v**2
Let c(l) = -27*l**2. Let z(a) = 11*a**2. Determine c(z(h)).
-3267*h**4
Let y = 5 + -3. Let h(m) = -1 + y*m + 0 + 1. Let i(d) be the third derivative of d**5/60 + d**2. Determine i(h(k)).
4*k**2
Let x(j) = -2*j. Let l(c) be the third derivative of 5*c**4/24 - 4*c**2. Give l(x(a)).
-10*a
Let s(i) = -2*i. Let t(p) be the first derivative of 2*p + 4. Let h(f) = f + 2. Let l(u) = 2*h(u) - 2*t(u). Determine s(l(n)).
-4*n
Let h(q) = 5*q**2. Suppose 0 = -u - 2*g - 8, 5*g + 22 = -2*u + 1. Let i(f) = -f - u*f + 0*f + 4*f. Calculate h(i(x)).
5*x**2
Let j = -7 - -9. Let r(v) = -73*v**2 + 0 + 62*v**j + 0. Let w(x) = 2*x**2. What is w(r(d))?
242*d**4
Let w(l) = 1 - 1 + 3*l. Let p(i) = -i. What is p(w(v))?
-3*v
Let i(o) = o. Let s(c) be the third derivative of 7*c**4/24 + c**2. Let w(q) = 3*q. Let l(k) = -4*s(k) + 9*w(k). What is i(l(r))?
-r
Let b(j) = -j**2. Let o(t) = -5 + 3 + 2 - 13*t. Determine o(b(a)).
13*a**2
Let u(k) be the second derivative of k**3/6 + 3*k. Let r(q) = 9*q**2. Determine u(r(w)).
9*w**2
Suppose 5*m - 54 - 1 = 0. Let a(p) = -23*p + m*p + 7*p. Let c(z) = -4*z**2. What is c(a(r))?
-100*r**2
Suppose -5*s +
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{
"pile_set_name": "DM Mathematics"
}
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+ 9) + (-2 + 2 - 2*c)*(5 - 2 - 1 + (2 - 2 - 2)*(-1 - 5 + 4)).
-20*c
Expand (5*r**2 - 3*r**2 + 0*r**2)*(-3*r**2 + 3*r**2 - 4*r**2) - r + 3*r**4 + r.
-5*r**4
Expand (1 + 9 + 13)*(6*i**2 - i**2 - 3*i**2).
46*i**2
Expand (2*i**2 + 0*i**2 - 5*i**2)*(-22 - 3 + 7 - 2*i + 2*i**2).
-6*i**4 + 6*i**3 + 54*i**2
Expand (5*f**2 + 3*f**2 - 5*f**2 + (-f + 0*f - f)*(2 - 2 + f))*(0 + 2*f + 0).
2*f**3
Expand r - 1 + 1 + (3 + 2 - 6)*(3*r + 5 - 5 - 3).
-2*r + 3
Expand -1 + 1 - o**5 + (o - 2*o - o)*(-3 - 2*o**4 + 3) + (-2*o**2 + o**3 + 2*o**2)*(1 - 1 + o**2).
4*o**5
Expand l**2 + l**2 + 0*l**2 + (17 - 17 + 3*l)*(-3*l + 3*l + 2*l - 1).
8*l**2 - 3*l
Expand -23 + 9 + 9 + 3*h**2 - 3*h**2 - h**2 + 6*h**2 - 3*h + 3*h - 2*h**2 - 2*h + 2*h**2 + 2*h + (0*h - 6*h + 4*h)*(3*h + 0*h - 5*h).
9*h**2 - 5
Expand -18*a**4 - 7*a**4 - a**4 + (2 - a - 2)*(-2*a + 2*a - a**3).
-25*a**4
Expand j**3 - 3*j**3 + j**3 + (j**2 + 0 + 0)*(2 - 2*j - 2) + (2*j - 3*j - 4*j)*(j**2 + 0*j**2 + j**2).
-13*j**3
Expand (15 - 5 + 4)*(2 + 3*s - 3*s - 2*s).
-28*s + 28
Expand 8 + 2*i - 8 + 3*i + 2 - 2 + 2 - 2*i - 2 + (0*i - i + 2*i)*(-3 - 2 + 4) + 2*i + 6*i - 2*i + (i - i - i)*(-4 + 0 + 2).
10*i
Expand (4*a**2 - 2 + 2)*(-5*a**2 + 2*a**2 + 5*a**2)*(3 + 2 - 4).
8*a**4
Expand (j + 5*j + 3*j)*(0 + 0 - 5*j)*(3 + 1 - 5 - 4 - 2 + 5 + 3 - 4 - 1 - 2 + 0 + 1 + (4 - 1 - 1)*(4 - 2 + 0) + 2 + 2 - 5).
90*j**2
Expand ((-2 + 2 - 2*x)*(-2 + 1 + 3) + 4*x - 6*x - 3 + 5)*(-1 + 1 - 4).
24*x - 8
Expand (-d - 2*d + d)*(2 - 2*d - 2) + d**2 + 0*d + 0*d + (-4 - d + 4)*(3*d + 4*d - 6*d) + 27*d + 3*d**2 - 27*d.
7*d**2
Expand (0 + 0 + 1)*(3 - 2*s**3 - 3) + 4*s - 2*s**3 - 4*s - 3*s - 3*s**3 + 6*s + 0*s.
-7*s**3 + 3*s
Expand (-3*z - 3*z + 5*z + (-3*z - 2*z + 3*z)*(-3 + 3 + 4) - z + 0*z - z)*(-1 + 0 + 0)*(6 - 5 + 3).
44*z
Expand (9*t**2 - 5*t**2 - 25*t**2)*(-3*t + 2*t**2 + 3*t).
-42*t**4
Expand 2*j**3 + 3*j**3 - 3*j**3 + (2*j**3 - 5*j + 5*j)*(-3 + 4 + 2) + 28 - 6*j**3 - 28.
2*j**3
Expand 3*i**3 + 2*i**3 - 13*i**3 + (-1 + 1 - 2*i)*(-2*i**2 + 2*i**2 + 2*i**2) - 11*i + 11*i + 2*i**3.
-10*i**3
Expand (g + 5*g - 2*g)*(3*g - 5*g + 4*g)*(3 - 3 - 2).
-16*g**2
Expand (u - 3*u + u)*(0 + u + 0)*(6*u + 3*u - 5*u).
-4*u**3
Expand 3*z**3 + 9 - 9 - 3*z**4 + (2*z**2 - 2*z**2 - 2*z**2)*(-z**2 - 4*z + 4*z).
-z**4 + 3*z**3
Expand (2*u**4 + 4*u**4 - 2*u**4 + (4*u - 4*u + 2*u**2)*(2*u**2 - 3 + 3))*(1 - 1 + u).
8*u**5
Expand 0*g**5 + 2*g**5 + 0*g**5 + (0 + 2 - 3)*(-3*g**2 + 3*g**2 - g**5) + (g - 5*g + 2*g)*(0*g**4 + g**4 + g**4) - g**2 + g**2 - 4*g**5.
-5*g**5
Expand (0 + u + 0)*(-6*u**2 + 2*u**4 + 6*u**2) + 3*u**5 - 9*u**5 - 2*u**5.
-6*u**5
Expand (31*v - 5*v**2 - 31*v)*(-3*v + 2*v**3 + 3*v + (-2 + 3 + 1)*(2*v**3 - 4*v**3 + 0*v**3)).
10*v**5
Expand (-11*w + 18 - 18)*(-3 + 0 + 4).
-11*w
Expand 2 + 2*m - 2 + (-2*m + 2*m - m)*(-4 - 3 + 0).
9*m
Expand (p**2 + 2*p**2 - 15*p**2)*(-3 - 2 + 3)*(2*p - 5 + 5).
48*p**3
Expand (w**2 + 2*w**4 - w**2)*(-3*w + 3*w + 3*w)*(2 - 6 + 0).
-24*w**5
Expand (-4*v - v - 3*v)*(2*v - v + 0*v).
-8*v**2
Expand (-k + 0*k + 3*k)*((3 + k**2 - 3)*(-1 - 3 + 5) + 0*k**2 - 4*k**2 + 2*k**2).
-2*k**3
Expand (-2*g + 4*g - 3*g)*(-2 - 3 + 2) + (3*g - 5*g + 3*g)*(-3 + 3 - 2).
g
Expand (4*s**5 + 2*s**5 + 0*s**5 + s)*(3 + 2 - 3).
12*s**5 + 2*s
Expand (0*z + 0*z + z**3)*(-2 + 0 + 1) + z**3 + z**3 - 3*z**3 + ((2 + 1 - 5)*(-3*z - z + z) + (3 + 0 - 1)*(0*z - 6*z + 4*z))*(-z**2 - 43 + 43).
-4*z**3
Expand 2*f**4 + f**5 + 4*f**5 + 0*f**4 + 2*f**3 + (2*f**3 - f + f)*(3*f - 3*f - 2*f**2).
f**5 + 2*f**4 + 2*f**3
Expand -2*n**3 - 3*n**3 + 6*n**3 + (-10 - 10*n**2 + 10)*(5*n + 2*n - 6*n).
-9*n**3
Expand -2*f**2 + 2*f**2 - 2*f**4 + (-4*f - 4*f + 3*f + (-3*f + 6*f - f)*(-1 - 2 + 1))*(2*f - 2*f + 2*f**3).
-20*f**4
Expand (-3*s**2 + 0*s**2 - s**2)*(0 + s - 5 + 4) + 2*s**3 + 0*s**3 - s**3.
-3*s**3 + 4*s**2
Expand (-1 + 0 + 3)*(-3 + 17*y + 3)*(-2 + 3 + 1).
68*y
Expand (-o**3 + 0*o**3 + 3*o**3)*(-67*o + 63*o + 4*o**2 - 2*o**2).
4*o**5 - 8*o**4
Expand 136*m**2 - 1 - 231*m**2 + 179*m**2 + (-1 + 1 + m)*(m + 2*m - 4*m).
83*m**2 - 1
Expand -3*z**2 - z**2 + 3*z**2 - 4*z**2 + 0*z**2 + 2*z**2 - 5*z**2 + 2*z**2 + 2*z**2 + (-6*z + 3*z + 5*z)*(0 - 2*z + 0).
-8*z**2
Expand ((-m**2 + 3*m**2 + 0*m**2)*(0*m**2 + 2*m**2 + 0*m**2) - m**4 + 0*m**4 + 3*m**4 - 3*m**4 + 2*m**4 + 3*m**4)*(4*m - 3 + 3).
32*m**5
Expand 2*r**4 - 1 + 1 + (3 - 3 + 2*r**2)*(-r**2 + 3*r**2 + 0*r**2) + 5*r**4 - 3*r**4 - 3*r**4 + (6*r - 4*r + r)*(r**3 - 5*r**3 + 3*r**3).
2*r**4
Expand (-5 - 3 - 8)*(4*h**3 - 4*h**3 - 3*h**3).
48*h**3
Expand (2*f**4 + 0*f**4 - 3*f**4)*(2 - 11 - 13) + 4*f - 4*f + f**4.
23*f**4
Expand (p**3 - p**2 + 1 + 0*p**3 + 0*p**3)*(-2 - 2 + 2).
-2*p**3 + 2*p**2 - 2
Expand (-5*z + 3*z + z)*(7 + 5 - 4).
-8*z
Expand 2*a**5 - 6*a + 6*a - 3*a**5 + 4*a**5 + 0*a**5 - a**5 - 2*a**5 + 4*a**5 + (0*a**2 + 5*a**2 - 3*a**2)*(a + 2*a**3 - a).
8*a**5
Expand (-3 + 1 + 0)*(11*n - 104*n**2 + 2*n + 106*n**2).
-4*n**2 - 26*n
Expand x**2 - x**3 - x**2 + (5*x**2 + x**2 - 4*x**2)*(-6*x + 1 - 2 + 2*x).
-9*x**3 - 2*x**2
Expand (2*k - k + 3*k)*(-11 + 11 - 12).
-48*k
Expand 0*y - y - y + (-y + y + 2*y)*(1 - 1 - 1) + 0*y + y + 0*y + (3 + 3 - 1)*(2*y + 2 - 2).
7*y
Expand (-6 + 2 + 3)*(-4*y + 2*y - y) - 7*y - 3 + 6*y - 5.
2*y - 8
Expand 1 + 5 - 3*a**4 - 4 + (-1 + 1 + 2*a**2)*(5*a**2 - 10*a**2 - 4*a**2).
-21*a**4 + 2
Expand -14*v**2 + 14*v**2 - 5*v**5 + (0*v + 0*v - v)*(-3*v**4 + 2*v**4 + 0*v**4).
-4*v**5
Expand (-4 + 1 + 2)*(-9*g**3 - 9*g + 9*g).
9*g**3
Expand (-4*r**4 + 4*r**4 + 2*r**4)*(-1 + 1 + 1)*(4*r + 11*r + 3*r).
36*r**5
Expand (-10 + 10 + 7*n)*(-2*n**2 - 4*n + 5*n + 0*n).
-14*n**3 + 7*n**2
Expand (w**2 + 2*w**2 - w**2)*(-3*w + 3*w - 4*w**2)*(7 - 7 - w).
8*w**5
Expand h - 2*h - 3*h + (-2*h - 2*h + 5*h)*(-1 - 4 + 4) + (-6 + 1 + 4)*(h - h + 2*h).
-7*h
Expand 2*v**5 + 9*v**5 + 2*v**5 + (0*v**2 - 2*v**2 + v**2)*(-v**2 + 2*v**3 + v**2).
11*v**5
Expand (-s**2 - 3*s + 3*s)*(10*s**2 + 56*s**2 + 40*s**2).
-106*s**4
Expand (3*f**2 + 5*f**2 - 4*f**2)*(-2*f**2 + 1 - 1).
-8*f**4
Expand -2*p**2 - p + p + 13*p**2 + 34*p**2 - 32*p**2 + (3*p**2 + 2*p**2 - 4*p**2)*(-2 + 4 + 0).
15*p**2
Expand (3*m - 3*m - m)*(-55 - 26 + 104).
-23*m
Expand (4 - 3 + 0)*(3 + 0*c - 2*c + 3*c - c**2).
-c**2 + c + 3
Expand (-3*l + 7*l + l)*(-1 - l**3 - 6*l + 6*l).
-5*l**4 - 5*l
Expand (-3 + 5 - 4)*(-7*l**4 + 13*l**4 + 9*l**4).
-30*l**4
Expand (-1 - 1 - 3)*(-g + 0 + 0).
5*g
Expand (-1 + 1 - v**4)*(0 - 3 + 2) + 3*v**4 - 2*v**4 - 3*v**4 - 14*v**2 + 14*v**2 - v**4 + (-v + v - 3*v**3)*(-4*v + v + 5*v).
-8*v**4
Expand (-2*g**2 + g - g)*((0*g**2 + 0*g**2 - 2*g**2)*(g + 1 - 1) + (-2 + 2 + g**2)*(0*g - 2*g + 0*g)).
8*g**5
Expand (-d**2 - 5*d**2 + d**2)*(5*d - d**2 - 5*d) + 1 + 2*d**4 - 1.
7*d**4
Expand (7 - 3 + 2)*(3 - 4 - 1)*((2*s**2 - s**2 - 2*s**2)*(-2 - s + 2) + 5*s**3 - 2*s**3 - s**3 - 2*s**2 - s**3 + 2*s**2).
-24*s**3
Expand (t + t - 2 + 0)*(109*t**4 + 116*t**4 - 166*t**4).
118*t**5 - 118*t**4
Expand (3*b + 2*b - 6*b)*(-2 + 1 - 5) + (-b + 0*b + 3*b)*(-2 + 2 + 4).
14*b
Expand 2*a**3 - 5*a**3 + 2*a**3 + (0 + 0 - 1)*(-3*a**3 + 3*a**3 + a**3) - 2 - 2*a**3 + 2 + (-a**2 - a**2 + 3*a**2)*(-a + 2*a - 3*a).
-6*a**3
Expand 2*s**2 + 4*s**2 - 4*s**2 + (-s**2 - 4*s**2 + 3*s**2)*(-2 + 3 - 2) - 2*s**2 - 3*s**2 + 4*s**2.
3*s**2
Expand (4*g**3 - 2*g**3 - 3*g**3)*(-6*g + g + 2*g)*((-1 - 6 + 5)*(1 + 1 - 4) + 0 - 1 - 2).
3*g**4
Expand (5*g**4 - 4*g**4 + 2*g**2 - 2*g**4)*(-8*g - 9*g + 18*g).
-g**5 + 2*g**3
Expand (n - 2*n - n)*(-3*n**3 + 2*n**3 - n**3) + 3*n**4 - n**4 + 0*n**4 - n**4 + 0*n**4 + 3*n**4 + (-n**4 + 5*n**4 - 2*n**4)*(0 - 2 + 0).
4*n**4
Expand (10 + 4 - 15)*((7*a - 4*a - 2*a)*(3 - 2 - 2) + 0 - 3*a + 0 + 2*a + 4*a - 4*a).
2*a
Expand ((-2 + 0 + 0)*(-2 + 0 + 1) + 1 - 2 - 1 - 4 + 2 + 1)*(-1 - 4*y + 1)*(y**2 - y + y).
4*y**3
Expand (-14*x - 109 + 109)*(x - x - 3*x).
42*x**2
Expand (-5*d - 3*d**2 + d**2 + 6*d)*(0 - 4 + 5)*(6*d + 0*d - 2*d).
-8*d**3 + 4*d**2
Expand -2*o**2 - 2*o**2 + 5*o**2 + (3*o - 3*o - o)*(-1 + 1 + 2*o).
-o**2
Expand 3*w**3 - 5*w**3 - w**3 + (0*w - 3*w + w)*(-4*w**2 - 3*w**2 + 6*w**2 + (3 - 1 + 0)*(w**2 - 2*w**2 + 0*w**2) - w**2 - 3*w**2 + 2*w**2).
7*w**3
Expand -v**5 + 0*v**5 - v**5 + (v - 2*v**4 - v)*(-2*v + v + 3*v) + (-3*v + 0*v + 5*v)*(-5 + v**4 + 5) + v**5 + 4 - 4.
-3*v**5
Expand (-t**2 + 2*t**2 + 2*t**2)*(7 + 0 - 2).
15*t**2
Expand (-2*s**2 + s**2
|
{
"pile_set_name": "DM Mathematics"
}
|
, -4 = k. What is the tens digit of w?
0
What is the tens digit of -8 - (15 - 9364 - -17)?
2
Let n(r) = -r**3 + 8*r**2 - 6*r - 7. Let l be n(7). Suppose 74*a = 76*a - 8. Suppose l = a*c + 2*h - 4*h - 822, 3*h - 594 = -3*c. What is the tens digit of c?
0
Suppose 62*r - 9 = 59*r. Suppose 0 = -r*t + 125 + 91. Let d = 207 - t. What is the hundreds digit of d?
1
Suppose -4*x + 5 = 3*m, 12*m - 14*m = -3*x + 25. Suppose -x*t = 4*h - 5341, 2*t - 3*h = -0*h + 2118. What is the units digit of t?
5
Let o(v) be the first derivative of 314*v**3/3 + 6*v**2 - 3*v - 96. What is the units digit of o(2)?
7
Let b be 4/(-14) + 572/(-154) + 287. Suppose 8 + b = 3*h. What is the tens digit of h?
9
Let r(j) = -2*j**3 + 2*j**3 + j**2 + 4 + 2*j + 3*j**3. Suppose -848*v + 15 = -843*v. What is the tens digit of r(v)?
0
What is the hundreds digit of (71*(-20 - 6))/(41/(-1148))?
6
What is the units digit of (4 + (-40044)/(-4))*2*(-7)/(-70)?
3
Suppose 0 = 3*x - 4*r - 8154, -33*x - 3*r + 8154 = -30*x. What is the thousands digit of x?
2
Suppose -58*q + 1449817 = -1901399 + 342698. What is the tens digit of q?
7
Suppose -8*a + 24 = 4*a. Let c be (-33)/a*(-64)/6. What is the units digit of 1/(-5) + c/5?
5
What is the thousands digit of -9 + 2/(-12) + (-914680)/(-240)?
3
Let g = 12479 - 7323. What is the thousands digit of g?
5
Let l = 45 + -43. Suppose 3*u + m = 10, -3*u + 2 = l*u - 2*m. Suppose a - 72 = -3*d, u*a - 216 = -a + 3*d. What is the units digit of a?
2
Let m(a) = 4*a + 7. Let d be m(-3). Let v be 0 - (-5)/(d/6). What is the tens digit of 70/2 - (v + 5)?
3
Suppose g - 5*v - 3622 = 0, -3*v + 18560 = 5*g + 450. What is the tens digit of g?
2
Suppose -314 = -5*j - 149. What is the tens digit of ((-18)/j)/3 - (-25560)/99?
5
What is the tens digit of (-2)/((128/(-61168))/8)?
4
Let n(v) = 137*v + 1470. What is the units digit of n(60)?
0
Suppose 92023 = 9*f + 4*h, -66*h + 62*h = 20. What is the units digit of f?
7
Let c = -390 + 674. Suppose 2*s - c = 4*q, s + 288 = 3*s - 2*q. What is the hundreds digit of s?
1
Let m = 8263 + -5655. What is the tens digit of m?
0
Suppose -271*i - 5*d = -276*i + 3715, -3747 = -5*i - 3*d. What is the tens digit of i?
4
Let r(j) = 32*j**2 + 4*j - 60. What is the tens digit of r(6)?
1
Let o(i) = -i**3 - 10*i**2 + i + 9. Let l be o(-10). Let d(z) = -70*z + 8. What is the tens digit of d(l)?
7
Let f = 505 - 83. Let p = f + -75. What is the units digit of p?
7
Suppose -5*f + 2984 = 11074. What is the units digit of (-15)/10 + f/(-4) + -1?
2
Suppose 48*j - 46*j = -3*b + 1839, 0 = 4*b + 3*j - 2452. What is the tens digit of b?
1
Let b(n) = n**2 - 40*n + 111. Let i be b(37). What is the tens digit of (3 + (-6 - -4))*i - -636?
3
Let k(c) = 37352*c + 707. What is the hundreds digit of k(1)?
0
Suppose -u = 21*u - 110616. Suppose 474*l + u = 478*l. What is the thousands digit of l?
1
Let n = -160 + 164. Suppose 5*u + n*r = 1766, -5*u = -2*r - 12 - 1730. What is the units digit of u?
0
Suppose 2*c + 12*c - 56 = 0. What is the tens digit of 75/(-150) + (0 - (-398)/c)?
9
Let p(s) = 17*s - 24. Let g = -20 + 21. Let k be (56/5 - g) + 39/(-195). What is the hundreds digit of p(k)?
1
Suppose 4*i + 3*d = 31, d - 33 = -4*i - 4*d. Let y be (-2)/(-4)*-6 - -3. Suppose i*t = -y*t + 161. What is the tens digit of t?
2
Let z(u) = 16*u**2 + 103*u + 1571. What is the units digit of z(-17)?
4
Let h be (-36)/(-12) + (0 - 1). Let d be 6/4 - h/(-4). Suppose 0 = -d*x + 7*x - 310. What is the tens digit of x?
6
Let n(p) = -p**3 - 4*p**2 - 4*p + 58224. What is the hundreds digit of n(0)?
2
Suppose 0 = -0*w + w + 3*t + 12, 5*w - 5*t = -100. Let i(h) = 3*h**2 + 48*h - 15. What is the units digit of i(w)?
3
Let d be (-11)/88 - (-1319)/(-8). Suppose 3593 = -12*b - 1147. Let a = d - b. What is the tens digit of a?
3
Let i(n) = n**3 + n**2 + n + 32. Let u be i(0). Suppose b - 5*q - 20 = 0, -4*b + 148 + 1 = 3*q. Let d = b + u. What is the tens digit of d?
6
Suppose i = -f + 10 + 294, 0 = -f + i + 310. What is the hundreds digit of f*((-5 - -3) + (2 - -1))?
3
Suppose 43*l + 25*l - 415452 - 876548 = 0. What is the tens digit of l?
0
Let d(i) = i - 14. Let t be d(16). Let u(f) = -f**3 - 20*f**2 + 3. Let g be u(-20). Suppose -t*z + 4*z + n = 337, g*z - 505 = -2*n. What is the tens digit of z?
6
Let m(b) = -1062*b - 147. What is the hundreds digit of m(-6)?
2
Let p(z) = -29*z**3 - 2*z**2 - 8*z - 18. Suppose -67 = 6*h - 55. What is the units digit of p(h)?
2
Let d = 24798 - -1459. What is the units digit of d?
7
Suppose -1204 = -2*s - 3*u, 67*s - 70*s + 5*u = -1863. What is the hundreds digit of s?
6
Let i(h) = 2*h**2 + 2*h - 10. Let o be i(2). Suppose 0 = o*q + 29 - 21. What is the units digit of (-7)/(21/(-636)) - (0 - q)?
8
Suppose 0 = 4*k + 8 + 8. Let w be (k*3/(-6))/(10/20). Suppose w*m = 9*m - 1245. What is the units digit of m?
9
Let v(c) = 13*c**2 + 98*c - 9. Let n be v(-7). Let o be 96/10*(11 + -1). Let q = n + o. What is the units digit of q?
8
What is the units digit of (-51638)/(-16) + ((-180)/(-32) - 6)?
7
Let l(b) = b**2 + 4*b + 6. Let i be l(-4). Let t be (-214)/(-2) - i/(-6). Suppose t = 7*y - 46. What is the units digit of y?
2
Let v = 158 + -118. Suppose -20*l - 6140 = -v*l. What is the units digit of l?
7
Suppose 117566 = 4*l + s + 1576, -3*l = 5*s - 87018. What is the thousands digit of l?
8
Let l(x) = -x**2 + 11*x - 17. Let t be l(8). Suppose -24 = 9*m - t*m. Let d(k) = -17*k - 9. What is the hundreds digit of d(m)?
1
Let j be ((-1)/3 + 3)/(2/(-150)). Let k = j - -683. What is the tens digit of k?
8
Let g(o) = -51*o - 5432. What is the units digit of g(-124)?
2
Let r(l) = 4*l**2 + 2*l - 4. Let f be r(-3). Let b be (-3)/((-1)/(f + 2))*2. Let u = b - 106. What is the tens digit of u?
6
Let i(j) = -11*j**2 + 32*j + 162. Let m be i(-4). Suppose -4*y - t + 1153 + 73 = 0, 5*y = 2*t + 1539. Let d = y + m. What is the hundreds digit of d?
1
Suppose -2*s = o + 2*o + 3, -s + 1 = 2*o. Let h = s + 132. What is the tens digit of h?
2
Suppose 0 = -11*y + 7*y. Suppose 2*r - 131 + 35 = y. Suppose -3*v - 2*w = -149, -3*v + 4*v = -w + r. What is the units digit of v?
3
Let h(y) = -y**3 + 10*y**2 - 7*y - 16. Let z(j) = 6*j - 35. Let m be z(7). What is the units digit of h(m)?
2
Let p = 18 + 2680. What is the units digit of p?
8
Let y(m) = 41*m - 18. Let v be y(-6). Let a be 2/(-6)*v/(-8). Let t = 54 - a. What is the units digit of t?
5
Suppose 18*c - m = 14*c - 21, -3*m + 27 = -3*c. What is the tens digit of -6 - (-3 - -2303)/c?
6
Suppose 1510614 = -7933*v + 7971*v. What is the ten thousands digit of v?
3
Let o(f) = -854*f**3 + 3*f**2 + 6*f + 4. Let t = 20 - 21. What is the tens digit of o(t)?
5
Suppose 5*c - 9243 = -3*l, 8*c + 15405 = 5*l + 10*c. What is the hundreds digit of l?
0
Suppose o + 321 = -257. Let v = -354 - o. What is the hundreds digit of v?
2
Suppose 39*r + 6 = -228. Let a(f) = -f**3 - 9*f**2 - 4*f - 10. Let u(n) = n**2 - n. Let p(j) = a(j) + 3*u(j). What is the units digit of p(r)?
2
Let k be -2*(-8)/24 + 15/(-9). What is the tens digit of (3*2)/((-148)/(-144) + k)?
1
Suppose 0 = 2*a + 4*j - 3350, 2*a - 4*j - 3350 = -6*j. Let b = 2434 - a. What is the tens digit of b?
5
Suppose -2*s - 82 = -2*t, 3*t = 56*s - 58*s - 97. Let n = -21 - -29. Let l = n - s. What is the units digit of l?
2
Suppose u - 3*r = 140, -5*u + 172 = -r - 486. Let q = -223 + u. Let a = 132 + q. What is the tens digit of a?
4
Suppose 4*t + 124 = 1208. Suppose -r = t - 8. Let j = r + 378. What is the units digit of j?
5
Let s be (6 + 2 + -2)*(-58)/(-6). Let v = 31 - s. Let t(f) = f**3 + 27*f**2 + 67. What is the tens digit of t(v)?
6
Let p(o) = 22*o**2 - 67*o + 14. Let k be p(-11). Suppose 97 = 10*n - k. What is the units digit of n?
1
Let n = 50 - 40. Suppose -27*j = -n*j - 9061. What is the tens digit of j?
3
Let x = -1764 + 2354. What is the units digit of x?
0
Let c(t) be the first derivative of t**4/3 - 19*t**3/6 - 8*t**2 - 19. Let h(d) be the second derivative of c(d). What is the units digit of h(9)?
3
Let w = 30 + -13. Suppose 3095 = -w*l + 8535. What is the hundreds digit of l?
3
Let u be ((-13)/2 + 4)*-18. Let n(o) = -o**2 + o + 747. Let z be n(0). Suppose -42*b = -u*b + z. What is the tens digit of b?
4
Let u = 63668 + -35927. What is the tens digit of u?
4
Let c(b) be the first derivativ
|
{
"pile_set_name": "DM Mathematics"
}
|
q
Let h(v) = v**3 - 7*v**2 + 6*v - 3. Let w be h(6). Sort w, 1, -2, 0.
w, -2, 0, 1
Let z(j) = j**3 + 6*j**2 - 8*j - 4. Let k be z(-7). Suppose 5*i - 2*v = -21, 4 + 14 = -3*i + k*v. Let o = -4 - -3. Sort o, 3, i in decreasing order.
3, o, i
Let m(s) = s**2 - 2*s. Let c be m(2). Suppose 4*b - 1 = 3. Put c, b, -4 in descending order.
b, c, -4
Let r be (-6)/2*4/(-42). Let z = -10 - -8. Let y = z + -3. Sort r, 1, y.
y, r, 1
Let t = -0.07 - 0.03. Let s = 0 + 3. Put s, -0.2, t in decreasing order.
s, t, -0.2
Let q = 0.8 + 0.8. Let c = 1.2 - q. Put -0.2, -2, c in decreasing order.
-0.2, c, -2
Let k = 362 + -3262/9. Let w = k + 1/3. Put -4, 6, w in increasing order.
-4, w, 6
Let o = 10 + -14. Let v(z) = -2*z - 1. Let k be v(-1). Let p = 2 + -4. Sort p, k, o.
o, p, k
Let s be (-1)/30*4*(-10)/(-6). Put -4, 3, -1/7, s in decreasing order.
3, -1/7, s, -4
Let b be (-16)/(-384) - 2/12. Let o(i) = -i - 6. Let s be o(-5). Put 1/9, b, s in descending order.
1/9, b, s
Let l(c) = -c**3 + 5*c**2 + 5*c + 8. Let u be l(6). Sort u, 0, 3 in decreasing order.
3, u, 0
Suppose -6*x = -5*x + 3. Let z = 14 + -5. Let r(d) = -d - 8. Let g be r(-8). Sort g, z, x in ascending order.
x, g, z
Let x = 4 - 2. Suppose 2*v = x*l + 2, -3*v + 4*v - 7 = -2*l. Let t be (-3 - -4) + 0 + -5. Sort 0, t, l in decreasing order.
l, 0, t
Let o = 51 + -51. Let l = 5.3 - -0.7. Let i = 4 - l. Sort o, i, 1/3.
i, o, 1/3
Let r(d) = -d**2 + 5*d - 4. Suppose 5*m = 2*s + 2*s + 27, s = -3. Let y be r(m). Let p = 0 - -1. Sort p, y, 4.
p, y, 4
Let a = 12 + -20. Let g = a + 12. Let r = g + -6. Put r, 3/8, 1 in descending order.
1, 3/8, r
Let h = -5 + 5.2. Let l be -3 - (-1 - (-48)/(-26)). Sort l, 5, h.
l, h, 5
Suppose -5*i = 3*w - 37, 4*i + 2*w - 16 = 3*w. Suppose -i*q - 5 = -0. Sort 0.2, -0.4, q in decreasing order.
0.2, -0.4, q
Let t = -3 - -2.95. Let j = 0.05 - t. Sort 3/4, 3, j in descending order.
3, 3/4, j
Let o = -8 + 8. Suppose o*z + 2*z - 6 = 0. Put -4, -5, z in descending order.
z, -4, -5
Let s = -1 + -2. Let u = s - -3. Let g = u - 1. Put -5, 0.3, g in ascending order.
-5, g, 0.3
Let k = 1.45 + -1. Let h = k - 0.05. Let r = 7 + -9. Sort -1, r, h in increasing order.
r, -1, h
Let u be (-18)/6 + 3 + -5. Put 2, u, 10, 1 in ascending order.
u, 1, 2, 10
Let g(u) = u**3 + 10*u**2 + 4*u - 21. Let x be g(-9). Put 0, 5, x in decreasing order.
x, 5, 0
Suppose r - 14 = 3*r + 2*u, 18 = -3*r - 2*u. Suppose 5 = s + 4. Suppose -s - 2 = w. Sort r, -5, w.
-5, r, w
Let g be (-4)/(2 - 6)*5. Suppose 0 = 3*q + q. Sort 2, g, q in increasing order.
q, 2, g
Let r be 54/10 + -3 - (-6)/(-15). Suppose 3*i + 5 - 2 = 0. Put -3, r, i in ascending order.
-3, i, r
Let y be (-1)/(-1)*(2 + 1). Suppose -3*b + 6 = 0, -2*p + 3*b = 8 + 8. Put 2, y, p in descending order.
y, 2, p
Let z = 21.97 - 22. Sort z, -0.1, -0.5, 1 in descending order.
1, z, -0.1, -0.5
Let i = -56/3 + 19. Let q = 21 + -21.4. Let u = -46 - -229/5. Sort q, i, u in ascending order.
q, u, i
Let u = 1 - 0. Let s = 20 + -24. Put s, 0.2, u in decreasing order.
u, 0.2, s
Suppose 0 = 28*x + 37 - 9. Suppose -3*b + 1 = -5*t - 36, -4*b + 2*t = -26. Put x, b, 5 in increasing order.
x, b, 5
Let s = -17 - -20. Let l(g) = -g - 10. Let t be l(-8). Suppose -3*o = -2*z - 23 - 2, 2*o + 5 = -3*z. Put z, t, s in decreasing order.
s, t, z
Let c = -0.7 - -3.7. Let k = 4652/13 - 358. Put k, c, -1 in descending order.
c, k, -1
Suppose 6 = -4*o - o - 3*b, 2*o - 8 = 4*b. Sort -5, 5, o in ascending order.
-5, o, 5
Suppose i - 3*h + 3 - 1 = 0, -4*i + 4*h + 8 = 0. Let j = 2.2 + -2.8. Sort i, j, -1.
-1, j, i
Suppose -5*r + 5*m = -5, 5*m = 4*r - 9*r - 5. Put -5, -2, r in ascending order.
-5, -2, r
Let f = 0.09 - -0.91. Let b = -13 - -9. Sort f, b, -0.3 in decreasing order.
f, -0.3, b
Let q(x) = -x - 2. Let c be q(-4). Let z = 16 - 3. Suppose -c = 3*a + z. Sort a, -1, -2 in decreasing order.
-1, -2, a
Let b(o) = -6*o - 3. Let g be b(-1). Put g, -5, 5 in ascending order.
-5, g, 5
Suppose 2*x + 3*x + 20 = 0. Let j = -11 + 8. Sort 1, j, x in increasing order.
x, j, 1
Suppose 0 = 9*r + 11 + 16. Sort 3, r, -16 in increasing order.
-16, r, 3
Let j = -15/52 - -1/26. Let w = -0.1 + -0.1. Sort w, j, 5 in decreasing order.
5, w, j
Let c be (-109)/2 + 2/4. Let w be ((-1)/3)/(9/c). Sort -6, -3, w in ascending order.
-6, -3, w
Let h = 9.4 - 9.2. Let f = -1.6 + 2. Let x = -0.7 + f. Sort 0.3, h, x in decreasing order.
0.3, h, x
Suppose 4*r = -0 - 8. Sort 23, -5, r.
-5, r, 23
Suppose -2*o + 18 = 3*u, -4*u + 7 = 3*o - 18. Suppose s + 0 = o. Put s, -2, -3 in decreasing order.
s, -2, -3
Suppose 3*d = a - 0*d - 15, 3*d + 12 = 0. Suppose 0 = 4*w - 9 - a. Sort -5, w, -2 in increasing order.
-5, -2, w
Let j = 0 - 6. Let r be (1/2)/((-1)/j). Suppose -2*a - l = 0, r*l - 8 = 7*l. Sort a, 4, 2 in ascending order.
a, 2, 4
Suppose 0 = -14*z + 17*z - 3. Let g be 182/6 - 2/(-3). Suppose -5*c + 5*k = 10, 5*c + 0*c = -2*k - g. Put c, z, -2 in descending order.
z, -2, c
Let z = 4 + 1. Sort -4, -2, z in increasing order.
-4, -2, z
Let d = -11 + 7. Let l = 0.15 - -5.85. Let h = l - 5.6. Put d, -2/9, h in ascending order.
d, -2/9, h
Let m = 160.5 + -160. Sort m, -1/5, -1/2.
-1/2, -1/5, m
Let m = 28 + -26.9. Let z = -1.2 + m. Sort z, -0.2, -0.5 in increasing order.
-0.5, -0.2, z
Suppose 0 = 4*f - 3*r - 22, -4*f + 10*r = 5*r - 26. Sort -5, -1, f in descending order.
f, -1, -5
Let p = 8 - 4. Let j = 9485/3 + -3134. Let w = 424/15 - j. Sort w, 1/4, p in increasing order.
1/4, w, p
Let d = -22 - -22. Sort 2/15, d, -5, 4/9 in descending order.
4/9, 2/15, d, -5
Let g(u) = -u + 9. Let t be g(9). Sort 4/9, t, -5 in descending order.
4/9, t, -5
Let d be (2/10)/(7/((-105)/(-24))). Suppose -2 = l, q - 1 = -2*l - 2. Sort d, q, 5 in decreasing order.
5, q, d
Let y be (3 + 0 - 2) + 1. Suppose -y*o = -5*o. Let p = 0.51 - 0.21. Put -5, p, o in decreasing order.
p, o, -5
Suppose 4*k - 65 + 5 = 0. Suppose k = 4*y - 5. Sort -3, y, 3 in descending order.
y, 3, -3
Let u(v) = -2*v. Let d be u(-2). Let n = 9 + -7. Let o = -3 + n. Put d, o, -2 in ascending order.
-2, o, d
Let m be 36/(-80)*15/36*2. Sort 3, -0.1, m, -3.
-3, m, -0.1, 3
Let b = 1 - 1.1. Let x = 5 - 10. Sort b, 1, x in descending order.
1, b, x
Let s = -5.2 + 3. Let x = -2 - s. Put x, 0, 0.5 in ascending order.
0, x, 0.5
Let n = 6 + -6. Put 1, 2, n in decreasing order.
2, 1, n
Let m be (-3 + 0/1)*2. Let n = 90 - 87. Put -2, m, n in increasing order.
m, -2, n
Let l = -1 + 3. Let t be (-11)/4 - (l + -4). Let s be -2 - 0 - (-18)/4. Sort s, -1, t.
-1, t, s
Suppose -3*n + 8 = -5*n. Let s = -6.98 + -0.02. Let m = s + 11. Put -0.5, n, m in descending order.
m, -0.5, n
Let m be 1/3*-2*-6. Suppose 5*y + q = 3*q + 24, -m = 2*q. Let l = -3 - -3.5. Put l, -4, y in decreasing order.
y, l, -4
Let b = 21 + -14. Let h = b - 7.3. Put h, 4, -9 in decreasing order.
4, h, -9
Suppose d = -0*d. Suppose -b = 4*b - 5. Sort b, 4, d in descending order.
4, b, d
Let v = -46 - -55. Sort v, -2, 1/3 in ascending order.
-2, 1/3, v
Let i = -0.8 - -0.44. Sort i, 0, -3/5, 3 in decreasing order.
3, 0, i, -3/5
Suppose k - 1 = -2*s + 4, 2*k = -3*s + 5. Suppose s*t - 7 = 8. Let u be 1*(0/(-1) + -1). Sort u, 4, t.
u, t, 4
Let n = -3.09 - -0.09. Let p = 3.4 + n. Let x be ((-2)/11)/(2 - 3). Put x, 1, p in descending order.
1, p, x
Let k be (-2)/1 - 1*-5. Let r be (15/(-70))/(k/(-4)). Sort r, 0.2, -4 in descending order.
r, 0.2, -4
Let v be ((-1)/3)/((-1)/6). Put -2, 3, v, -4 in descending order.
3, v, -2, -4
Suppose -2*p + 5*q = p - 41, -2*q = 3*p - 34. Suppose p = 4*c - 0*c. Put -5, c, -3 in decreasing order.
c, -3, -5
Let v = 7.83 - -0.17. Let n = v + -7. Sort 0, n, -0.4 in decreasing order.
n, 0, -0.4
Let i be 17/34 + (-22)/4. Put 0.2, -2/3, i, 1 in ascending order.
i, -2/3, 0.2, 1
Suppose 0 = 12*t + 46 - 22. Let c = 0.02 + -5.02. Sort c, t, 0 in descending order.
0, t, c
Let f(a) = a**3 - 6*a**2 - 6*a - 10. Let p be f(7). Suppose 0 = -5*j + 4*j - 2. Sort 4, j, p in descending order.
4, j, p
Let x = -10 + 7. Sort x, 5, 2.
x, 2, 5
Let b = 9 + -4. Let h be ((-8)/(-6))/(1/3). Suppose -5*o - 24 = -h. Sort b, o, 1.
o, 1, b
Suppose -j + 1 = 4. Sort -0.4, 4, j in increasing order.
j, -0.4, 4
Let d be 8/(-2) - (-66)/17. Sort -5, 0.05, d.
-5, d, 0.05
Let y = 0.7 - 4.7. Let k = 25 + -73/3. Put k, y, -3 in descending order.
k, -3, y
Le
|
{
"pile_set_name": "DM Mathematics"
}
|
How many minutes are there between 4:45 AM and 10:17 AM?
332
What is 148 minutes after 6:27 PM?
8:55 PM
What is 59 minutes after 6:34 PM?
7:33 PM
What is 429 minutes after 1:23 AM?
8:32 AM
What is 277 minutes after 3:40 PM?
8:17 PM
How many minutes are there between 5:15 PM and 6:11 PM?
56
How many minutes are there between 1:43 PM and 1:20 AM?
697
What is 547 minutes before 1:55 PM?
4:48 AM
How many minutes are there between 9:17 PM and 3:42 AM?
385
How many minutes are there between 8:43 PM and 9:22 PM?
39
How many minutes are there between 12:13 PM and 4:38 PM?
265
What is 27 minutes after 1:23 AM?
1:50 AM
How many minutes are there between 3:51 AM and 1:10 PM?
559
How many minutes are there between 12:53 PM and 6:53 PM?
360
How many minutes are there between 2:52 AM and 6:48 AM?
236
What is 468 minutes before 1:18 AM?
5:30 PM
What is 507 minutes after 2:38 AM?
11:05 AM
How many minutes are there between 6:44 AM and 1:11 PM?
387
How many minutes are there between 6:42 AM and 6:13 PM?
691
What is 126 minutes before 8:32 PM?
6:26 PM
How many minutes are there between 6:51 AM and 7:44 AM?
53
How many minutes are there between 6:23 AM and 6:48 AM?
25
What is 325 minutes before 5:05 AM?
11:40 PM
How many minutes are there between 8:13 AM and 9:35 AM?
82
How many minutes are there between 2:02 AM and 7:17 AM?
315
What is 103 minutes before 8:55 PM?
7:12 PM
What is 56 minutes after 8:42 PM?
9:38 PM
What is 558 minutes before 1:52 AM?
4:34 PM
How many minutes are there between 9:02 AM and 7:18 PM?
616
How many minutes are there between 11:37 PM and 2:41 AM?
184
What is 142 minutes before 11:56 PM?
9:34 PM
What is 420 minutes before 11:44 PM?
4:44 PM
How many minutes are there between 11:58 AM and 11:57 PM?
719
What is 665 minutes after 10:58 PM?
10:03 AM
What is 570 minutes after 9:48 PM?
7:18 AM
How many minutes are there between 6:13 PM and 12:25 AM?
372
What is 317 minutes after 1:13 PM?
6:30 PM
What is 104 minutes after 9:52 PM?
11:36 PM
How many minutes are there between 10:40 PM and 11:36 PM?
56
What is 386 minutes before 6:24 AM?
11:58 PM
What is 419 minutes before 12:30 PM?
5:31 AM
How many minutes are there between 7:48 PM and 9:05 PM?
77
What is 341 minutes after 3:50 PM?
9:31 PM
How many minutes are there between 7:42 AM and 6:06 PM?
624
What is 514 minutes after 4:40 PM?
1:14 AM
How many minutes are there between 3:32 PM and 9:31 PM?
359
How many minutes are there between 7:37 AM and 10:59 AM?
202
What is 669 minutes after 5:36 AM?
4:45 PM
How many minutes are there between 10:13 AM and 7:16 PM?
543
How many minutes are there between 6:58 AM and 10:02 AM?
184
How many minutes are there between 6:58 AM and 6:44 PM?
706
What is 631 minutes after 12:27 PM?
10:58 PM
What is 54 minutes before 4:56 AM?
4:02 AM
How many minutes are there between 7:48 PM and 3:00 AM?
432
How many minutes are there between 11:54 PM and 4:24 AM?
270
How many minutes are there between 1:07 PM and 6:12 PM?
305
What is 117 minutes after 4:58 PM?
6:55 PM
How many minutes are there between 4:07 PM and 4:26 PM?
19
How many minutes are there between 11:33 PM and 12:36 AM?
63
How many minutes are there between 12:02 AM and 12:41 AM?
39
What is 130 minutes before 6:06 PM?
3:56 PM
How many minutes are there between 8:26 PM and 8:36 PM?
10
What is 376 minutes after 1:32 PM?
7:48 PM
How many minutes are there between 6:02 PM and 11:17 PM?
315
What is 135 minutes before 6:56 PM?
4:41 PM
How many minutes are there between 12:25 PM and 7:59 PM?
454
How many minutes are there between 4:26 PM and 5:22 PM?
56
How many minutes are there between 6:57 AM and 4:38 PM?
581
How many minutes are there between 8:07 AM and 9:39 AM?
92
How many minutes are there between 7:16 AM and 2:25 PM?
429
What is 502 minutes before 11:32 PM?
3:10 PM
How many minutes are there between 1:51 PM and 11:24 PM?
573
How many minutes are there between 6:50 AM and 5:15 PM?
625
How many minutes are there between 4:23 PM and 6:52 PM?
149
What is 558 minutes after 1:16 PM?
10:34 PM
How many minutes are there between 5:05 PM and 10:01 PM?
296
How many minutes are there between 1:29 AM and 12:47 PM?
678
What is 705 minutes after 10:28 AM?
10:13 PM
How many minutes are there between 5:12 AM and 11:57 AM?
405
What is 296 minutes before 5:11 PM?
12:15 PM
What is 165 minutes after 2:56 AM?
5:41 AM
What is 367 minutes after 7:59 AM?
2:06 PM
How many minutes are there between 6:50 AM and 8:07 AM?
77
How many minutes are there between 8:31 PM and 12:34 AM?
243
What is 341 minutes after 6:04 PM?
11:45 PM
How many minutes are there between 8:37 AM and 8:23 PM?
706
What is 591 minutes after 2:23 AM?
12:14 PM
How many minutes are there between 2:46 PM and 4:33 PM?
107
How many minutes are there between 6:16 AM and 2:04 PM?
468
What is 123 minutes after 8:33 AM?
10:36 AM
How many minutes are there between 11:44 PM and 7:10 AM?
446
How many minutes are there between 7:06 PM and 8:43 PM?
97
What is 664 minutes after 10:55 PM?
9:59 AM
How many minutes are there between 10:41 AM and 6:24 PM?
463
How many minutes are there between 9:49 PM and 12:53 AM?
184
What is 419 minutes after 6:10 PM?
1:09 AM
What is 60 minutes before 2:06 AM?
1:06 AM
What is 51 minutes after 2:35 AM?
3:26 AM
What is 223 minutes before 8:24 AM?
4:41 AM
What is 186 minutes after 6:41 PM?
9:47 PM
What is 414 minutes before 4:17 PM?
9:23 AM
What is 715 minutes after 3:03 AM?
2:58 PM
How many minutes are there between 10:13 PM and 7:16 AM?
543
What is 175 minutes before 12:34 PM?
9:39 AM
How many minutes are there between 2:23 PM and 2:32 PM?
9
How many minutes are there between 1:45 PM and 2:45 PM?
60
How many minutes are there between 10:44 AM and 10:21 PM?
697
How many minutes are there between 6:25 AM and 2:15 PM?
470
How many minutes are there between 8:00 PM and 9:09 PM?
69
What is 707 minutes after 9:07 PM?
8:54 AM
How many minutes are there between 10:00 PM and 6:28 AM?
508
How many minutes are there between 4:26 AM and 2:08 PM?
582
What is 110 minutes after 9:04 AM?
10:54 AM
How many minutes are there between 5:25 PM and 8:01 PM?
156
What is 264 minutes after 5:55 AM?
10:19 AM
How many minutes are there between 1:01 PM and 6:01 PM?
300
How many minutes are there between 3:04 AM and 3:48 AM?
44
What is 130 minutes after 12:39 AM?
2:49 AM
What is 331 minutes before 12:58 AM?
7:27 PM
How many minutes are there between 2:38 PM and 4:48 PM?
130
How many minutes are there between 2:34 AM and 1:17 PM?
643
How many minutes are there between 4:51 AM and 4:19 PM?
688
What is 253 minutes after 4:26 PM?
8:39 PM
How many minutes are there between 3:32 AM and 10:42 AM?
430
How many minutes are there between 5:05 PM and 3:48 AM?
643
What is 611 minutes before 11:37 AM?
1:26 AM
How many minutes are there between 11:16 PM and 2:39 AM?
203
How many minutes are there between 9:24 AM and 1:58 PM?
274
How many minutes are there between 2:16 PM and 12:03 AM?
587
How many minutes are there between 1:25 AM and 4:47 AM?
202
What is 553 minutes after 2:54 PM?
12:07 AM
What is 467 minutes after 7:24 PM?
3:11 AM
What is 678 minutes before 12:36 PM?
1:18 AM
How many minutes are there between 10:41 AM and 5:51 PM?
430
How many minutes are there between 2:16 PM and 6:36 PM?
260
How many minutes are there between 4:52 AM and 4:34 PM?
702
What is 328 minutes after 7:59 PM?
1:27 AM
What is 458 minutes after 5:32 PM?
1:10 AM
What is 166 minutes before 12:11 PM?
9:25 AM
How many minutes are there between 8:54 PM and 11:26 PM?
152
What is 149 minutes before 6:17 PM?
3:48 PM
How many minutes are there between 8:14 AM and 2:30 PM?
376
What is 687 minutes before 7:18 PM?
7:51 AM
What is 127 minutes after 1:17 PM?
3:24 PM
What is 252 minutes after 7:19 PM?
11:31 PM
What is 91 minutes after 11:21 PM?
12:52 AM
What is 25 minutes after 7:06 PM?
7:31 PM
How many minutes are there between 5:27 PM and 12:09 AM?
402
How many minutes are there between 2:19 PM and 2:57 PM?
38
How many minutes are there between 10:50 PM and 7:17 AM?
507
What is 705 minutes after 7:14 AM?
6:59 PM
What is 504 minutes before 3:23 PM?
6:59 AM
What is 424 minutes after 9:13 AM?
4:17 PM
What is 172 minutes after 9:04 PM?
11:56 PM
How many minutes are there between 8:31 AM and 1:34 PM?
303
How many minutes are there betwee
|
{
"pile_set_name": "DM Mathematics"
}
|
54481
Divide 16721748 by -16017.
-1044
Divide 0 by 1747539.
0
What is -399686577 divided by 139?
-2875443
Divide 15302150 by -5.
-3060430
Divide 29601 by 12576.
9867/4192
Divide 2 by -160633184.
-1/80316592
Calculate 355 divided by 89605.
71/17921
Divide -8800155 by 1760031.
-5
Calculate -2185 divided by 240628.
-2185/240628
Divide -303996753 by 6.
-101332251/2
Divide 34847652 by -28.
-1244559
2 divided by 51832
1/25916
1416 divided by -22566
-236/3761
What is -8178392 divided by 8?
-1022299
Divide 23125484 by 11562742.
2
Divide 33016 by -53.
-33016/53
-38435979 divided by 12811993
-3
What is -252 divided by 160607?
-252/160607
What is 48891857 divided by 997793?
49
Calculate 91 divided by -126167.
-91/126167
Calculate 137010 divided by 257.
137010/257
Calculate 35 divided by 13822.
35/13822
Calculate -1236564 divided by -36.
34349
Calculate 36 divided by -2694982.
-18/1347491
Calculate -6172088 divided by 474776.
-13
What is 3867156 divided by 9?
429684
Calculate 1086405 divided by 12.
362135/4
-3 divided by 2015037
-1/671679
What is 189816388 divided by 1?
189816388
-67948408 divided by -2
33974204
What is -56596052 divided by -56596052?
1
What is 12037746 divided by 573226?
21
What is -25899888 divided by 28399?
-912
What is 12342570 divided by 30?
411419
Divide 1334790 by 772.
667395/386
What is -202129407 divided by -67376469?
3
Calculate -1388784 divided by -8.
173598
Divide -53106527 by -3.
53106527/3
Divide -5304278 by -2.
2652139
-2584 divided by 1303
-2584/1303
Calculate 116178624 divided by 5184.
22411
-214773492 divided by 19
-11303868
17832 divided by -20006
-8916/10003
-309412698 divided by 138
-2242121
Divide -10218 by 161.
-10218/161
Divide -34938254 by -79586.
439
Calculate -52384340 divided by 46.
-1138790
Calculate 8840744 divided by -968.
-9133
Calculate 7756550 divided by -73175.
-106
21360046 divided by 10680023
2
What is -64296000 divided by 18?
-3572000
Calculate 18300 divided by -57418.
-9150/28709
Calculate 124677 divided by -200.
-124677/200
What is -4191802 divided by 2095901?
-2
What is -18 divided by 24311207?
-18/24311207
Divide -35022425 by -1075.
32579
-706254 divided by 8
-353127/4
Calculate -87538622 divided by 4.
-43769311/2
Divide 381635025 by 5.
76327005
47322334 divided by 2
23661167
What is 9669 divided by 36712?
9669/36712
78598 divided by -34
-39299/17
35967528 divided by -3996392
-9
Divide 14991038 by 4.
7495519/2
Divide -481142745 by 3.
-160380915
Divide 1558177 by -2.
-1558177/2
What is -16 divided by -21496014?
8/10748007
Calculate -173 divided by 5059.
-173/5059
-4934150 divided by -47
4934150/47
What is -2335995 divided by -20313?
115
Calculate 602352630 divided by -18810.
-32023
What is 7031780 divided by 22?
3515890/11
Divide -96529747 by -5080513.
19
What is -2870179 divided by 79?
-2870179/79
Calculate 0 divided by 31086380.
0
3 divided by 70404170
3/70404170
Divide -446 by 231951.
-446/231951
-20767384 divided by 818
-25388
Calculate -105089053 divided by -19907.
5279
Divide 80452653 by 4.
80452653/4
114274346 divided by 899798
127
Divide -1 by -32210824.
1/32210824
33576 divided by 637
33576/637
What is 30310 divided by -58?
-15155/29
-5964918 divided by 1662
-3589
What is -449090969 divided by 449090969?
-1
What is -47832927 divided by 247839?
-193
Calculate 392013780 divided by -2.
-196006890
Calculate 465887 divided by -36.
-465887/36
Calculate 1423478 divided by -33.
-1423478/33
-166933494 divided by -101913
1638
Divide -105775 by -260.
21155/52
Divide -27 by 788724.
-1/29212
65182185 divided by 3
21727395
15681350 divided by 1675
9362
Calculate 246978 divided by -1249.
-246978/1249
Divide -4 by 2299726.
-2/1149863
Divide 603 by -17782.
-603/17782
What is -272 divided by -1098809?
272/1098809
Calculate 363 divided by -9068.
-363/9068
What is -146343284 divided by 83339?
-1756
601 divided by 100
601/100
What is 5 divided by -78343?
-5/78343
Divide 1850184 by -8.
-231273
What is 548472 divided by -17?
-548472/17
32156908 divided by 253204
127
Divide -162640106 by 1.
-162640106
Divide -40643451 by 501771.
-81
-5 divided by 1734320
-1/346864
Calculate 16 divided by 15430497.
16/15430497
Divide -3 by 1977822.
-1/659274
Calculate -354531 divided by 1025.
-354531/1025
11165424 divided by -6108
-1828
What is -19368800 divided by -62480?
310
Calculate -3531984 divided by -4.
882996
What is -31563898 divided by -4?
15781949/2
Calculate -78474 divided by 101.
-78474/101
What is -2776 divided by -8100?
694/2025
What is 10164 divided by 675?
3388/225
5539 divided by -560
-5539/560
Calculate 202 divided by -102438.
-101/51219
Calculate 16400340 divided by -6.
-2733390
Calculate -159666833 divided by -467.
341899
Calculate 904 divided by -114.
-452/57
Divide -26101007 by -3.
26101007/3
Calculate -33542151 divided by -14901.
2251
What is 23328 divided by 4490?
11664/2245
What is -2451894 divided by -230?
1225947/115
238 divided by -732883
-238/732883
13 divided by -661058
-13/661058
Divide 1974 by 3776.
987/1888
Calculate 3453050 divided by -138122.
-25
Divide 46 by 4862201.
46/4862201
What is 47 divided by -63977?
-47/63977
1601 divided by -32017
-1601/32017
Divide 356049240 by -59341540.
-6
What is 8471929 divided by -2?
-8471929/2
What is 8301246 divided by 4514?
1839
Divide 4 by -27035451.
-4/27035451
Calculate 0 divided by 5195408.
0
31076026 divided by 2
15538013
What is -4 divided by -4023183?
4/4023183
What is -3182502 divided by 102?
-31201
What is 1470457 divided by 261?
1470457/261
-3927690 divided by -1963845
2
Divide -240 by 4016657.
-240/4016657
Divide 140576 by -764.
-184
149717 divided by -5364
-149717/5364
Calculate 1 divided by 1483579.
1/1483579
What is 37918 divided by -316?
-18959/158
-20230515 divided by 26
-20230515/26
Calculate 2698 divided by 93290.
71/2455
Divide -29357207 by 1.
-29357207
Calculate 11415073 divided by -8.
-11415073/8
Calculate -2804460 divided by -3.
934820
-18084372 divided by -217884
83
Calculate -1639 divided by 2569.
-1639/2569
-2024490 divided by -25955
78
Divide -11101221 by 53.
-209457
Divide 5088578 by 7.
5088578/7
Divide -2060611 by 11.
-2060611/11
Calculate 24508732 divided by 6127183.
4
Divide -38392726 by 202.
-190063
Divide 645082 by 4.
322541/2
305008 divided by -13864
-22
Divide 162063540 by 81031770.
2
Calculate -36862 divided by 567.
-5266/81
Divide -12147175 by -127865.
95
Calculate 17712 divided by -73.
-17712/73
What is 315063630 divided by -63012726?
-5
Calculate 2 divided by 42777996.
1/21388998
Calculate 406827270 divided by 203413635.
2
Divide -49843562 by -2.
24921781
Calculate -40761308 divided by 9044.
-4507
What is -65361642 divided by 3?
-21787214
Calculate -86912548 divided by -4.
21728137
What is 5228000 divided by 1307?
4000
Calculate -9104187 divided by -3034729.
3
Calculate -3450773 divided by -1.
3450773
Calculate -3848 divided by -1404.
74/27
Divide -3013913 by -527.
5719
Calculate -36 divided by -368548.
9/92137
Calculate 2288835 divided by -40155.
-57
Calculate -6309508 divided by 254.
-3154754/127
-2 divided by 1045767
-2/1045767
Divide -37253172 by -9313293.
4
Divide -23254 by -2527.
3322/361
Calculate -26979084 divided by -1737.
15532
What is -513246357 divided by -13160163?
39
-44 divided by 132333
-44/132333
Calculate -268764 divided by 268764.
-1
-727230 divided by -5
145446
What is -2215838 divided by 16174?
-137
-1344648 divided by 2148
-626
Divide -120 by -436549.
120/436549
Calculate 11367398 divided by 27.
11367398/27
Divide -9811 by 1889.
-9811/1889
Divide 0 by -23754104.
0
Calculate 13023942 divided by -6.
-2170657
Divide -40159656 by 2.
-20079828
Divide -57 by -461213.
57/461213
Divide -1049930 by -9.
1049930/9
Divide 26645 by 7781.
26645/7781
Calculate 2 divided by 13228933.
2/13228933
Calculate -37217565 divided by 1155.
-32223
What is 25226 divided by -277?
-25226/277
Divide -30566622 by 6.
-5094437
Calculate 34557174 divided by -17278587.
-2
Divide -57823575 by 2.
-57823575/2
What is 88341219 divided by -2011?
-43929
What is 178 divided by 102908?
89/51454
What is 574701 divided by -3?
-191567
What is -213772 divided by 8?
-53443/2
What is -2 divided by 242428?
-1/121214
Calculate 603157 divided by 80.
603157/80
Divide -7884938 by 7884938.
-1
-5 divided by 53037317
-5/53037317
Divide 51860080 by 158
|
{
"pile_set_name": "DM Mathematics"
}
|
a multiple of 13?
True
Let x be (14/(-8))/(3/24). Let o = x - -24. Suppose 3*q - 38 = -5*v + q, 2*q + o = v. Is v a multiple of 8?
True
Suppose 2*s = 5*s + 78. Suppose -4*z - 13 = -5. Let c = z - s. Is c a multiple of 12?
True
Let y(v) = v**2 - v. Let s be y(3). Suppose 3*f + 21 = 3*b, 2*b - s*b = -5*f - 27. Is 4 a factor of b?
True
Suppose 2*h - 1169 = -5*m, 6*m + 4*h + 247 = 7*m. Is 20 a factor of m?
False
Let t = 5 - 3. Suppose 4*p + 208 = 2*j + 3*j, -t*p = -2*j + 106. Let m = -24 - p. Does 11 divide m?
True
Let d(x) = -x**2 - 2*x + 2. Let z be d(-2). Is 13 a factor of (-1020)/(-27) + z/9?
False
Suppose 3 + 2 = -y. Let d be 1/(-1)*(8 - y). Let f = d + 32. Is f a multiple of 19?
True
Suppose k = 1 + 1. Suppose k*b = 4*b - 150. Let g = b + -41. Is g a multiple of 15?
False
Let r(o) be the third derivative of o**4/24 + o**3/2 - 3*o**2. Let l be r(12). Is 8 a factor of (-2)/(2/3) + l?
False
Let k(w) = 7*w - 8. Let m be (-136)/(-4) + 1 + 0. Suppose m = 6*g - g. Is k(g) a multiple of 18?
False
Let q be -2 + 0 + -1 + 12. Does 17 divide 1 + q*(-28)/(-6)?
False
Is (-10)/35 + (-424)/(-14) a multiple of 10?
True
Let t(a) = -6*a + 4. Suppose -g + s - 4 = 0, -g + 3 = 5*s + 1. Is 14 a factor of t(g)?
False
Is ((-4)/6)/(18/(-2079)) a multiple of 15?
False
Suppose 0 = t - 0 - 6. Suppose t*m + 6 = 3*m. Is 8 a factor of (m*12/3)/(-1)?
True
Suppose -3*j + 463 + 77 = 0. Is 12 a factor of j?
True
Let s(t) = t**3 + 10*t**2 + 7*t - 11. Let r be s(-9). Let b = -8 + r. Is (15/(-20))/(b/8) a multiple of 3?
True
Let k(o) = o**3 + 6*o**2 - 3*o - 4. Let q be k(-5). Suppose h = 6*h - 3*i + 5, -3*i = h - 17. Suppose 0 = h*c + c - q. Is c a multiple of 12?
True
Suppose 4*a + 8 = 5*a. Let h = a + -2. Does 6 divide h?
True
Suppose 0*d = 5*d. Suppose -2*v - 3*j + 23 = d, 3*j - 15 = -0*j. Does 3 divide v?
False
Suppose -140 = -3*u - 47. Suppose -5*l = h - 70, 3*l - 3*h = 29 + u. Does 5 divide l?
True
Suppose 16*g - 551 = -167. Is 3 a factor of g?
True
Suppose 2*v + 2*g = -3*g + 134, -5*g - 201 = -3*v. Is 17 a factor of v?
False
Let w(n) = -2*n + 6. Let a be w(-5). Let f = a + -10. Does 6 divide f?
True
Let v = -3 - -2. Let o(h) = -14*h**2 - h - 1. Let q be o(v). Let l = 29 + q. Does 9 divide l?
False
Let j = 8 + -6. Suppose 0 = j*o - 6, 0*o - 47 = -2*q + o. Let h = 39 - q. Is 7 a factor of h?
True
Let l(q) = -q - 3. Let z be l(-7). Suppose z*f - 3 = 13. Is (-9)/(-6) - (-98)/f a multiple of 13?
True
Let i(q) = 2*q**2 + 3*q - 3. Let d be i(-3). Suppose 4*p = p + d. Suppose -p*g + 7 = -g. Is g a multiple of 4?
False
Let u = 37 + 5. Is u a multiple of 14?
True
Let n(v) = 3*v**2 - 3*v - 6. Is n(-4) a multiple of 18?
True
Suppose 0 = 4*d + 203 - 1291. Does 17 divide d?
True
Let i = -34 + 83. Does 49 divide i?
True
Suppose -180 = -4*m + o + o, m = 5*o + 27. Is 8 a factor of m?
False
Let x = -364 - -535. Is 9 a factor of x?
True
Let b(r) be the first derivative of 4*r + 4*r**3 + 3 + r**2 - 3*r + 0*r**3. Is 4 a factor of b(-1)?
False
Is (-3)/(-1)*(-400)/(-12) a multiple of 20?
True
Suppose -4*v - 290 = -2*l, -4*v + 109 = -4*l + 393. Let o = 104 + v. Is 20 a factor of (o/(-8))/((-3)/16)?
True
Let p(b) = 4*b**2 - 5*b + 5. Is 16 a factor of p(4)?
False
Let h(c) = -c**3 + 7*c**2 + c - 6. Let j be h(7). Let z(s) = -s**3 - 5*s**2 + 5*s - 5. Let q be z(-6). Is (-2)/j + q + 12 a multiple of 11?
True
Let y be -1 + 0 - (-8)/2. Does 6 divide (6 - -12)*2/y?
True
Suppose -5*u - 2*b - 119 + 621 = 0, -u + 3*b + 97 = 0. Is 35 a factor of u?
False
Let p(z) = -z + 2. Let h be p(-18). Suppose -5*u - 8*i = -4*i - 27, -2*u + 3*i - 3 = 0. Suppose q - u*q = -h. Is 5 a factor of q?
True
Let f(v) = 7*v**3 + 2*v + 3. Let i be f(-2). Let j = -23 - i. Does 10 divide j?
False
Let y be 2 - (1 + -2 - 0). Suppose 0 = -5*r - n + 110 + 14, y*r - 79 = 4*n. Does 12 divide r?
False
Let s = 6 - 10. Let v(u) = -u**2 - 4*u + 5. Does 3 divide v(s)?
False
Let g = -7 + 12. Suppose 0 = o + o. Suppose o = g*r - 14 - 56. Is r a multiple of 7?
True
Let i = 9 + -5. Is 2 + (i + 0 - 1) even?
False
Suppose -7*c = -w - 2*c + 5, 4*w + 3*c = 112. Does 6 divide w?
False
Let h = 26 + 9. Is h a multiple of 5?
True
Suppose -4*d = -d - 51. Is d a multiple of 12?
False
Let s be (0 - 20/(-16))*44. Suppose 6 = -4*a - 5*l + 63, s = 5*a + 3*l. Is 8 a factor of a?
True
Let a = 39 - 21. Suppose 0 = -d - 3*z + a, 2*d - d - 4*z = 46. Is 10 a factor of d?
True
Let p = 18 - 22. Does 23 divide (p - 88)*3/(-4)?
True
Suppose -68 = -5*u + m, 2*u - 2*m = -2*u + 52. Let v = -5 + u. Is 9 a factor of v?
True
Suppose 3*k - 4*k - w = 6, -k + 6 = -3*w. Is 5 a factor of 20 + (-2 - k) + -3?
False
Let s(z) = -z**3 - 8*z**2 - 9*z + 6. Suppose -x - x = 4*t - 42, -123 = -5*x - t. Suppose -3*y = x - 4. Is 13 a factor of s(y)?
False
Suppose d + 12 = -2*d. Does 8 divide 2/d - (-147)/6?
True
Suppose -11 + 0 = -d. Is d a multiple of 5?
False
Let s be (-2)/(((-16)/(-6))/(-4)). Is (-63)/(-1*(s - 2)) a multiple of 21?
True
Let x be (96/(-15))/(-4)*5. Let z = -4 + x. Is z a multiple of 4?
True
Suppose -24 = -3*s - s. Suppose -s = -3*a + 6. Suppose -i = -2*x + 12 + 13, a*x - 53 = -i. Is 7 a factor of x?
False
Is (-5004)/(-78) + (-4)/26 a multiple of 6?
False
Suppose -9*d + 630 = 5*d. Is 5 a factor of d?
True
Suppose 6*m + 4*y = 2*m + 116, 5*m = 3*y + 145. Let g = -21 + m. Is 4 a factor of g?
True
Let n(r) = r**2 + 3*r - 4. Let q(x) = -x**3 + 2*x**2 + 3. Let k(j) = -j + 3. Let l be k(0). Let o be q(l). Does 14 divide n(o)?
True
Does 40 divide (-3)/(-6)*244 + -2?
True
Let a(k) be the first derivative of k**4/4 - 4*k**3/3 + 2*k**2 + 2*k - 1. Let z be a(4). Let r = z + 20. Does 15 divide r?
False
Suppose 5*z + 2*s = 9 + 20, 2*s = -4*z + 22. Does 2 divide z?
False
Suppose 0 = -7*q + 2*q. Is 11 a factor of -1*(-22 - -1) - q?
False
Let f = -3 + 3. Let b(q) be the first derivative of -q**4/4 - q**3/3 - q**2/2 + 2*q - 1. Is b(f) even?
True
Let a = -27 + 40. Is 13 a factor of a?
True
Suppose 12 = 3*i, -t = -4*i + 23 - 7. Suppose t*c = -c + 27. Is c a multiple of 11?
False
Let x(w) = w**3 - 9*w**2 + 9*w - 6. Let m(d) be the first derivative of 3*d**2/2 - 4*d + 2. Let z be m(4). Does 2 divide x(z)?
True
Suppose 5*i - 289 = -4*r, -3*i + 5*r + 223 = i. Suppose -3*p + i = -21. Does 13 divide p?
True
Suppose 5*m - 5 = 5. Let b = -7 + m. Let c = 20 + b. Is 15 a factor of c?
True
Suppose 5*u + a - 20 = -2*a, 0 = -4*u + 3*a + 16. Suppose 4*d - 51 = 2*s - 147, d + 213 = u*s. Is s a multiple of 14?
False
Suppose 0*l + 2 = l. Suppose p = -l*c + 14, c - 12 = p - 4*p. Does 3 divide c?
True
Suppose -3*o - 2*c + c = -24, 2*c = -3*o + 24. Is 8 a factor of o?
True
Suppose -4*x - 2*k + 289 = 109, 0 = 2*x - 4*k - 110. Let p(o) = -o**3 - 10*o**2 + 2*o - 1. Let a be p(-10). Let j = a + x. Does 26 divide j?
True
Suppose 5*r = 5 + 5. Suppose -3*w - 4*g = -38, r*g - 3 = 5*w - 23. Is 4 a factor of w?
False
Let p(k) = 2*k**2 + 3*k**2 - 2*k + 6 + k**3 - 5*k + 0*k**2. Does 12 divide p(-6)?
True
Let a(h) be the second derivative of -h**5/20 + 7*h**4/12 - 5*h**3/6 + 9*h**2/2 - 2*h. Is a(6) a multiple of 5?
True
Let s be -2*(-1 - (-1 + 2)). Suppose 4*f = 3*v + v - 8, -5 = 5*f - s*v. Suppose 0 = 4*x - 1 - 3, f*x = 4*i - 93. Is i a multiple of 11?
False
Let b be 1/(1/22) + -1. Let d be (2*-1)/((-2)/b). Suppose 21 = 2*v - 3*h + 6, d = 3*v - 3*h. Does 6 divide v?
True
Let m = 5 + -4. Let i be (m - -2) + (31 - 1). Does 13 divide (i/2)/(4/8)?
False
Let c(j) = j**3 + 3*j**2 - 3*j. Let r be (-25)/9 - 22/99. Is c(r) a multiple of 2?
False
Let x(f) = 6*f - 2. Does 5 divide x(7)?
True
Suppose 6*j - j = 45. Let p(m) = m**3 - 8*m**2 - 9*m + 11. Is 10 a factor of p(j)?
False
Suppose -3*x + 3*i = 21, 0*x + 4*x + 13 = -i. Let h = 21 + x. Does 13 divide h?
False
Let z = 310 - 218. Suppose 0 = -4*b + 3*j + z, -3*b + 0*b = -4*j - 69. Is b a multiple of 9?
False
Let i(q) = -31*q**3 + 2*q + 1. Let c be (-3)/3 - (2 + -2). Let h be i(c). Let z = h - -6. Is 18 a factor of z?
True
Let t = 51 + -10. Let w = 127 - t. Suppose 0 = 5*a - 2*z - 78, -3*a - 2*a + 4*z = -w. Is a a multiple of 14?
True
Suppose 4*s - 2*h - 12 = 0, 2*h = h + 2. Is 6 a factor of -1 - 14*s/(-8)?
True
Suppose 0 = f - 5*f + b - 11, b = -4*f - 21. Let d(u) = u**3 + 4*u**2 - 4*u - 4. Is 12 a factor of d(f)?
True
Let q = -1 - -3. Let n be 0 - (0 - 6/q). Suppose -31 = -3*y +
|
{
"pile_set_name": "DM Mathematics"
}
|
0*o**5 - 13/6*o**4 - 57/40*o**6 - 18/35*o**7 + 0 - 4/3*o**3 - 4*o**2. Factor h(v).
-(v + 1)**2*(3*v + 2)**3
Let n(c) be the first derivative of 2*c**6/27 - 4*c**5/45 - 8*c**4/9 + 32*c**3/27 + 32*c**2/9 - 64*c/9 - 11. What is j in n(j) = 0?
-2, 1, 2
Suppose 6*j - 2*j = 20. Let q be (1 - 1)*3/(-6). Factor -h**3 - 4*h + q*h + j*h.
-h*(h - 1)*(h + 1)
Let q(z) be the second derivative of 0*z**2 + 0 - 1/9*z**3 - 7/90*z**6 + 3*z + 1/30*z**5 + 7/36*z**4. Factor q(p).
-p*(p - 1)*(p + 1)*(7*p - 2)/3
Let v = 1 + 2. Factor 4*u**4 - 18 + 19 - 4*u**2 - 2*u - u**4 + 2*u**v.
(u - 1)*(u + 1)**2*(3*u - 1)
Suppose -1/4*a + 1/4*a**3 - 1/4 + 1/4*a**2 = 0. What is a?
-1, 1
Let h = -4/77 - -97/385. Let 0*t + 0*t**3 + 1/5*t**4 + h - 2/5*t**2 = 0. Calculate t.
-1, 1
Let d be 1/2*(8 - 4). Suppose 32*t**3 + d*t + 7*t + 2*t - 7*t + 14*t**4 + 22*t**2 = 0. Calculate t.
-1, -2/7, 0
Let y(z) = -13*z**2 - 11*z. Suppose -2*u - 4 - 18 = 0. Let s(n) = -7*n**2 - 6*n. Let k(q) = u*s(q) + 6*y(q). Factor k(j).
-j**2
Factor 0 - 18/5*l**3 + 4/5*l + 14/5*l**2.
-2*l*(l - 1)*(9*l + 2)/5
Let n(i) = -i**3 - 8*i**2 + 14*i - 8. Let g(b) = -4*b**3 - 25*b**2 + 43*b - 24. Let f(j) = -6*g(j) + 21*n(j). Factor f(w).
3*(w - 2)**3
Solve 4*d**3 + 12 - 3*d - 4*d + 9*d - 6*d - 12*d**2 = 0 for d.
-1, 1, 3
Let t(b) be the first derivative of 4*b**3/3 + 60*b**2 + 900*b - 45. Find l, given that t(l) = 0.
-15
Suppose 0 = -4*g + z + 7, -17*z - 9 = -2*g - 22*z. Suppose -4/7*l + 2/7*l**g + 2/7 = 0. What is l?
1
Let b(n) be the second derivative of n**9/45360 - n**8/20160 - n**7/7560 + n**6/2160 + n**4/3 + 5*n. Let j(v) be the third derivative of b(v). Factor j(p).
p*(p - 1)**2*(p + 1)/3
Suppose -14*f + f**2 + 13 + f**2 - 1 = 0. What is f?
1, 6
Let c(n) be the third derivative of n**6/30 + 3*n**5/5 + 4*n**4 + 32*n**3/3 - 20*n**2 + 2. Suppose c(y) = 0. Calculate y.
-4, -1
Let a = -5 + 9. Let q be (a - 2) + (-7)/4. Find d such that 0 + q*d**2 - 1/4*d = 0.
0, 1
Suppose 3*b**3 - 3*b**2 - 6*b - 77 + 77 = 0. What is b?
-1, 0, 2
Let h(p) be the first derivative of 1/15*p**5 - 1/2*p**2 + 1/9*p**3 - 2/3*p + 5 + 1/4*p**4. Suppose h(n) = 0. What is n?
-2, -1, 1
Let k(c) be the first derivative of -1/10*c**4 - 2/5*c**3 - 3/5*c**2 - 2/5*c + 4. Suppose k(o) = 0. What is o?
-1
Let h = -2022/7 - -290. Factor 0*t - h + 2/7*t**2.
2*(t - 2)*(t + 2)/7
Let x = 472/5 + -94. Factor -x*h**3 + 0*h + 0 - 2/5*h**2 + 2/5*h**5 + 2/5*h**4.
2*h**2*(h - 1)*(h + 1)**2/5
Suppose -4*o - 3*h = 2*h - 7, 5*o + h = 14. Suppose j + c = -0*c - o, -2*c - 8 = j. Factor -2/5*n**j - 2/5*n + 0.
-2*n*(n + 1)/5
Let g(y) be the first derivative of -y**3/9 + y/3 + 2. Let g(r) = 0. Calculate r.
-1, 1
Factor -3/2*f**4 + 0*f**3 + 2*f**2 + 1/2*f**5 + 0 + 0*f.
f**2*(f - 2)**2*(f + 1)/2
Let q = 63/53 + 3/265. Determine f, given that 2/5 + 2/5*f**3 + 6/5*f + q*f**2 = 0.
-1
Let c be 0 - 0 - (6 + (-30)/5). Solve 4/3*j**3 - 4/3*j**5 + c*j + 0 + 0*j**2 + 0*j**4 = 0.
-1, 0, 1
Let u(z) be the second derivative of z**4/24 - z**3/6 + 9*z. Factor u(h).
h*(h - 2)/2
Let f = 8 + -8. Suppose u = 3*c + 3*u - 16, f = -5*c + u + 18. Factor -4/5*s**3 + 2/5*s**5 + 0*s**2 + 0*s**c + 0 + 2/5*s.
2*s*(s - 1)**2*(s + 1)**2/5
Let m = 43 + -25. Suppose -2*z**2 + z**2 + 27 - 12*z - m + 4*z**2 = 0. What is z?
1, 3
Factor 0 - 1/7*b**3 + 2/7*b + 1/7*b**2.
-b*(b - 2)*(b + 1)/7
Let w(o) = -o**2 + 6*o - 3. Let h be w(5). Let d = 127/3 + -42. Solve 1/3*l**h + d*l**4 - 2/3 - l**3 + l = 0 for l.
-1, 1, 2
Let m = 31/120 - 1/120. Solve -m*o**2 - 1/2*o + 0 = 0.
-2, 0
Let b(k) be the third derivative of k**8/168 - 2*k**7/105 - 11*k**2. Find v, given that b(v) = 0.
0, 2
Let x(f) = f - 4. Suppose -13 = -3*n + 5*w, 3*n = -2*n - 3*w + 33. Let z be x(n). Factor 0*b**2 - 3*b**3 + 2*b**3 + b**z.
-b**2*(b - 1)
Suppose 2*g - 7 = -b + 3*g, -b - 2*g = 5. Let v(m) be the third derivative of -2/3*m**b + 1/60*m**6 + 0*m - 2/15*m**5 + 5/12*m**4 + 0 + m**2. Factor v(r).
2*(r - 2)*(r - 1)**2
Let z(o) be the third derivative of -o**6/60 + o**5/10 - o**4/6 - 27*o**2. Determine f, given that z(f) = 0.
0, 1, 2
Let x be 4 + -2 + 15/(-10). Let m(i) be the second derivative of -x*i**2 + i - 2/3*i**4 + 5/6*i**3 + 1/5*i**5 + 0. Factor m(y).
(y - 1)*(2*y - 1)**2
Let o(q) be the third derivative of q**5/75 + q**4/15 + 10*q**2. Find i such that o(i) = 0.
-2, 0
Let g = 58 - 58. Suppose -i**3 + 3/2*i**2 + g*i - 1/2 = 0. What is i?
-1/2, 1
Let s(i) be the second derivative of 0 - 17/30*i**5 - 8/3*i**2 + 1/9*i**6 + 20/9*i**3 + 1/3*i**4 - i. Determine k so that s(k) = 0.
-1, 2/5, 2
Suppose -107*o = -113*o. Determine w so that 0*w - 6/7*w**3 + 2/7*w**2 + 6/7*w**4 + o - 2/7*w**5 = 0.
0, 1
Let w be 5/2*(-8)/(-10). Factor x + x**2 - w*x + 1 - 1.
x*(x - 1)
Let z(a) be the second derivative of a**4/48 - a**3/12 - 2*a. Solve z(r) = 0 for r.
0, 2
Let d(q) be the first derivative of -4/9*q**3 + 1/3*q**2 + 1/9*q**6 - 1/3*q**4 + 2/3*q + 2/15*q**5 + 1. Factor d(x).
2*(x - 1)**2*(x + 1)**3/3
Let z(x) be the first derivative of -x**6/21 - 6*x**5/35 + x**4/14 + 2*x**3/7 - 36. What is m in z(m) = 0?
-3, -1, 0, 1
Let f(y) = -3*y + 7. Let l be f(6). Let x be l/(-3) - 4/6. Factor -x*p + p**2 + p + 5*p - p.
p*(p + 2)
Find l such that -4/9*l + 0 + 2/9*l**3 + 2/9*l**2 = 0.
-2, 0, 1
Let t(a) = 0*a + 12 + 4 + 2*a + 3. Let v be t(-8). Factor 2*c**2 - 11/4*c**v + c + 0 + 3/4*c**4.
c*(c - 2)**2*(3*c + 1)/4
Factor -106*l**3 + 107*l**3 + 3*l**2 - 4*l**2.
l**2*(l - 1)
Let r(f) be the second derivative of -1/16*f**5 + 1/6*f**3 - 7*f - f**2 + 0 + 1/120*f**6 + 1/8*f**4. Factor r(x).
(x - 2)**3*(x + 1)/4
Let z(f) be the first derivative of f**6/2520 + f**5/840 + f**3/3 + 7. Let y(s) be the third derivative of z(s). Find q, given that y(q) = 0.
-1, 0
Let a(m) be the first derivative of m**7/18 - 2*m**6/15 + m**5/20 + m**4/18 + 5*m + 3. Let i(y) be the first derivative of a(y). Factor i(u).
u**2*(u - 1)**2*(7*u + 2)/3
Let c(d) be the third derivative of d**8/112 - 4*d**7/105 + d**6/40 + d**5/30 - 3*d**2. Factor c(o).
o**2*(o - 2)*(o - 1)*(3*o + 1)
Suppose 2*l - 12 = -0*l. Let p be (-240)/(-594) - l/33. Find c, given that 0*c**2 + 0*c + 2/9*c**3 + 0 + p*c**4 = 0.
-1, 0
Suppose -4*j = 7*y - 2*y - 27, 3*j + 3 = 4*y. Suppose 2*w - 8 = -0*w, y*c = 2*w - 2. Factor -1 - 5 - 2*n**c + 8*n - 2.
-2*(n - 2)**2
Let x(i) = 29*i**2 - 3*i**3 - i - 21*i**2 + 8 + 2*i**3. Let d be x(8). Determine p, given that -1/2*p**5 + 1/2*p**3 + 0 + 0*p + d*p**4 + 0*p**2 = 0.
-1, 0, 1
Let i be 16/(-32) - (-1)/(-2) - -1. Factor -1/3*n**3 + i + 1/3*n**2 + 2/3*n.
-n*(n - 2)*(n + 1)/3
Suppose -3*h + h = -10. Let l be (h - 6)*(-1)/2. Let l*n**2 - 1 + 1/2*n = 0. What is n?
-2, 1
Let g(i) be the third derivative of i**6/540 + i**5/18 + 25*i**4/36 + 125*i**3/27 + 4*i**2 + 2. Solve g(l) = 0 for l.
-5
Let y(a) be the second derivative of -1/40*a**5 - 1/24*a**3 + 2*a - 1/16*a**4 + 0*a**2 + 0. Factor y(n).
-n*(n + 1)*(2*n + 1)/4
Let l(f) be the first derivative of f**8/336 - f**7/105 + f**6/120 + 3*f**2/2 + 4. Let v(w) be the second derivative of l(w). Let v(d) = 0. What is d?
0, 1
Let z(d) be the first derivative of -d**3/6 - d**2/2 - d/2 - 3. Factor z(t).
-(t + 1)**2/2
Let b(l) be the second derivative of l**5/20 - l**4/4 + 6*l. Factor b(t).
t**2*(t - 3)
Let m(w) be the second derivative of 0*w**3 - 1/21*w**7 + 1/6*w**6 + 1/12*w**4 - 3*w + 0 - 1/5*w**5 + 0*w**2. Factor m(l).
-l**2*(l - 1)**2*(2*l - 1)
Let x(y) be the first derivative of 2*y**9/63 - y**8/14 + 3*y**7/70 + y**6/60 - y**5/40 + y**3 - 3. Let t(s) be the third derivative of x(s). Factor t(m).
3*m*(2*m - 1)**3*(4*m + 1)
Let l(u) be the second derivative of -4*u + 0 - 1/48*u**4 + 0*u**2 + 1/24*u**3. Factor l(p).
-p*(p - 1)/4
Let j(d) be the first derivative of d**3/9 + d**2/3 - 8*d/3 + 5. Factor j(h).
(h - 2)*(h + 4)/3
Factor 20 - 197*l**2 - 186*l**2 - 5*l**4 + 368*l**2 - 20*l + 20*l**3.
-5*(l - 2)**2*(l - 1)*(l + 1)
Let -7*f**5 - 3*f**2 + 8*f**2 - 5*f**4 + f**3 + 4*f**3 + 2*f**5 = 0. What is f?
-1, 0, 1
Let g be (-4 - (-2 + -3))*(-12)/(-3). Let t(u) be the first derivative of 3 - 1/5*u**5 + 1/2*u**g - u**2 + 0*u**3 + u. Solve t(w) = 0 for w.
-1, 1
Let t(w) be the first derivative of w**4/4 + 7*w**3/3 + 3*w**2 + 3. Let l be t(-6). Factor 2/3*p - 4/3*p**2 + 4/3*p**4 + l*p**3 - 2/3*p**5 + 0.
-2*p*(p - 1)**3*(p + 1)/3
Let b be -3 + (1/1 - -5). Factor 3*
|
{
"pile_set_name": "DM Mathematics"
}
|
e prob of picking 1 k, 1 d, and 1 j when three letters picked without replacement from {j: 1, w: 5, d: 1, k: 9, y: 1}.
9/680
Three letters picked without replacement from zvmujcj. Give prob of picking 1 c, 1 u, and 1 m.
1/35
Calculate prob of picking 2 d and 1 i when three letters picked without replacement from {d: 5, i: 5}.
5/12
Four letters picked without replacement from {n: 1, o: 1, q: 2, u: 1, v: 5}. What is prob of picking 1 v, 2 q, and 1 o?
1/42
Two letters picked without replacement from {q: 2, v: 5, b: 2}. Give prob of picking 2 b.
1/36
Calculate prob of picking 1 r and 1 z when two letters picked without replacement from {h: 2, r: 2, z: 1, g: 1, f: 1, p: 2}.
1/18
Calculate prob of picking 3 w and 1 q when four letters picked without replacement from qwwqqqqq.
0
Four letters picked without replacement from {d: 4, y: 6}. Give prob of picking 1 d and 3 y.
8/21
What is prob of picking 2 z, 1 w, and 1 x when four letters picked without replacement from {c: 1, a: 5, w: 2, x: 2, z: 4}?
24/1001
Calculate prob of picking 1 a and 1 o when two letters picked without replacement from {o: 3, r: 3, a: 13}.
13/57
Calculate prob of picking 1 p, 2 y, and 1 r when four letters picked without replacement from prpfstyry.
2/63
Two letters picked without replacement from {n: 6, y: 3, f: 1, r: 1, w: 2}. What is prob of picking 2 y?
1/26
Three letters picked without replacement from jdh. What is prob of picking 2 h and 1 d?
0
Two letters picked without replacement from jxkkkkktl. What is prob of picking 1 k and 1 x?
5/36
What is prob of picking 2 c and 1 g when three letters picked without replacement from {g: 1, c: 3, a: 1}?
3/10
Four letters picked without replacement from {h: 3, p: 12}. Give prob of picking 4 p.
33/91
Four letters picked without replacement from ppppwggwgpqpzwqgpgzq. What is prob of picking 2 w, 1 g, and 1 q?
3/323
Four letters picked without replacement from mmmmmiimmmmmm. What is prob of picking 4 m?
6/13
Calculate prob of picking 1 o and 1 b when two letters picked without replacement from {b: 4, r: 6, s: 4, c: 1, o: 1}.
1/30
Two letters picked without replacement from {z: 3, l: 5}. Give prob of picking 2 l.
5/14
Three letters picked without replacement from {f: 17, c: 3}. Give prob of picking 2 c and 1 f.
17/380
Two letters picked without replacement from vyoyvyoyyyvvp. What is prob of picking 1 v and 1 y?
4/13
Two letters picked without replacement from {o: 6, d: 4, l: 1, s: 4, v: 1}. What is prob of picking 2 d?
1/20
Two letters picked without replacement from {g: 1, f: 2, s: 1, v: 6, r: 3}. Give prob of picking 1 v and 1 s.
1/13
Three letters picked without replacement from {f: 2, v: 9}. What is prob of picking 2 f and 1 v?
3/55
Four letters picked without replacement from rgdvrvvykgyv. Give prob of picking 2 v, 1 d, and 1 k.
2/165
Four letters picked without replacement from oojoyoyyyyooyyooyoo. What is prob of picking 3 o and 1 y?
80/323
Four letters picked without replacement from pggpgggpegpgggwgggww. Give prob of picking 2 w, 1 g, and 1 p.
48/1615
Four letters picked without replacement from sgffegeysysytgg. Give prob of picking 1 g, 1 e, 1 s, and 1 y.
24/455
What is prob of picking 1 v and 1 s when two letters picked without replacement from {v: 3, s: 2}?
3/5
What is prob of picking 2 i when two letters picked without replacement from iiiiiiiiiiiiiiiiimi?
17/19
What is prob of picking 1 d and 1 s when two letters picked without replacement from {s: 1, u: 3, d: 3}?
1/7
Two letters picked without replacement from {r: 7, n: 1, x: 6}. Give prob of picking 2 r.
3/13
What is prob of picking 1 r and 1 s when two letters picked without replacement from {v: 1, m: 1, p: 3, r: 1, s: 1, h: 6}?
1/78
Three letters picked without replacement from odocohfhhchcccccccd. Give prob of picking 1 o, 1 f, and 1 c.
9/323
Calculate prob of picking 1 v, 1 y, and 1 m when three letters picked without replacement from mxxtxvxyxxxx.
1/220
Two letters picked without replacement from vvvvnnvv. Give prob of picking 2 v.
15/28
Calculate prob of picking 1 u and 1 e when two letters picked without replacement from {h: 3, g: 1, u: 5, e: 4, p: 1, m: 1}.
4/21
Four letters picked without replacement from {c: 4, f: 3, y: 7, j: 1, z: 1}. What is prob of picking 4 y?
1/52
Three letters picked without replacement from vfvvcccvvccvccvcvvf. Give prob of picking 1 v and 2 c.
84/323
Calculate prob of picking 1 s and 3 h when four letters picked without replacement from {x: 1, u: 2, h: 13, s: 1}.
143/1190
Two letters picked without replacement from {n: 4, x: 7, m: 1, t: 2, u: 1, v: 2}. What is prob of picking 1 v and 1 t?
1/34
What is prob of picking 1 g and 1 u when two letters picked without replacement from {b: 3, h: 2, o: 1, u: 3, q: 1, g: 2}?
1/11
Calculate prob of picking 2 i when two letters picked without replacement from {a: 1, i: 11}.
5/6
Two letters picked without replacement from xxxxxxxxxkxxxxxxxxx. Give prob of picking 2 k.
0
Two letters picked without replacement from {q: 1, j: 2, r: 1, f: 1}. Give prob of picking 1 f and 1 q.
1/10
Two letters picked without replacement from kjkgk. Give prob of picking 1 g and 1 j.
1/10
What is prob of picking 2 n when two letters picked without replacement from {z: 3, n: 7, u: 3}?
7/26
Three letters picked without replacement from {y: 2, u: 4, s: 2, d: 4, z: 2}. Give prob of picking 2 y and 1 z.
1/182
Three letters picked without replacement from ppypd. What is prob of picking 1 y and 2 p?
3/10
What is prob of picking 1 o, 2 h, and 1 m when four letters picked without replacement from {m: 1, h: 2, q: 1, c: 4, r: 7, o: 3}?
1/1020
What is prob of picking 1 i, 1 a, and 1 o when three letters picked without replacement from vociiopav?
1/21
Four letters picked without replacement from {o: 1, m: 1, h: 3, q: 1, i: 3, v: 2}. What is prob of picking 1 h, 1 i, and 2 v?
3/110
Two letters picked without replacement from mpggpmmkxghxggpgxx. Give prob of picking 1 x and 1 h.
4/153
Two letters picked without replacement from {j: 5, e: 2, s: 3}. What is prob of picking 1 e and 1 s?
2/15
What is prob of picking 1 i and 1 b when two letters picked without replacement from {i: 1, z: 1, b: 1, f: 1, r: 1, v: 2}?
1/21
Two letters picked without replacement from tbbtbbttbtbt. What is prob of picking 2 t?
5/22
Two letters picked without replacement from {w: 4, f: 3, s: 4}. Give prob of picking 1 s and 1 f.
12/55
What is prob of picking 1 q, 1 x, 1 t, and 1 c when four letters picked without replacement from xccdxxcstqsx?
4/165
What is prob of picking 4 j when four letters picked without replacement from {f: 2, j: 4}?
1/15
Calculate prob of picking 1 a and 3 n when four letters picked without replacement from {x: 4, h: 2, g: 1, a: 2, n: 7}.
1/26
Four letters picked without replacement from tbtkslblm. What is prob of picking 1 s, 2 b, and 1 k?
1/126
Four letters picked without replacement from lijiehxx. Give prob of picking 3 h and 1 i.
0
Calculate prob of picking 1 v and 1 t when two letters picked without replacement from kcvketvekdvkvvc.
1/21
What is prob of picking 2 l when two letters picked without replacement from iooxnlonoioilcoxonin?
1/190
What is prob of picking 1 w and 2 n when three letters picked without replacement from {s: 5, q: 1, w: 5, n: 5}?
5/56
Three letters picked without replacement from wwweweeesswswswwsww. What is prob of picking 2 e and 1 w?
20/323
Calculate prob of picking 1 l, 1 k, and 2 j when four letters picked without replacement from {j: 6, h: 3, e: 1, l: 1, z: 2, k: 2}.
2/91
Calculate prob of picking 1 d and 1 s when two letters picked without replacement from sdfdxffddsx.
8/55
What is prob of picking 1 g and 2 t when three letters picked without replacement from {v: 5, t: 6, u: 1, g: 3}?
9/91
What is prob of picking 1 q and 1 u when two letters picked without replacement from {j: 2, b: 2, q: 1, l: 1, u: 1}?
1/21
Two letters picked without replacement from {p: 8, b: 5}. Give prob of picking 1 b and 1 p.
20/39
Calculate prob of picking 1 m and 2 o when three letters picked without replacement from {c: 1, m: 7, o: 2}.
7/120
What is prob of picking 3 c and 1 u when four letters picked without replacement from {c: 3, u: 7}?
1/30
Calculate prob of picking 1 n and 1 d when two letters picked without replacement from
|
{
"pile_set_name": "DM Mathematics"
}
|
, 4*i - 8 = -8*x + 6*x for i.
1
Suppose 8*w + 768 = -0*w. Let l be (-24)/w - (11/(-4) + 1). Solve 8 = 3*v + 4*m, l*v - 2*m = 4*v - 2 for v.
-4
Let h be (-60)/6 - (-31 - -3). Solve -4*f + 6*f + 4 = 0, 3*f + h = 3*m for m.
4
Suppose 5*d + 20 = 0, 4*f + 3*d = -0*d - 20. Let m be 0/(-3) + f - -2*1. Solve m = -2*h - 3*w - 12, -2*w + w = -5*h + 4 for h.
0
Let j be ((-12)/15)/((-14)/35). Suppose -j*u + 52 = 32. Suppose -v + u = 2. Solve 3*i + p = -v - 8, 4*i - p = -19 for i.
-5
Let m = -1 - -4. Suppose 5*p - 3*f - 25 = 0, -10*p + 14*p = 5*f + 33. Solve -3*i - 4*w + 1 = 0, -5*w + p + m = 0 for i.
-1
Let u = -204 + 232. Solve -4*t + u = 4*o, o + 2*t - 18 = -2*o for o.
4
Let r(n) = 3*n - 16. Let o(l) = l**2 + 14*l + 6. Let h be o(-14). Let b be r(h). Solve 5*t = 3*f - 11, 0 = -2*f - 2*f - b*t + 6 for f.
2
Suppose 253*u = 251*u + 10. Solve 3*r + 5 = u*q - 5, -5*q + 15 = -2*r for r.
5
Let x(h) = -h**2 - 4*h + 2. Let p be x(-4). Suppose -k + 0*j - 2 = -2*j, 10 = k + p*j. Suppose 13 + 63 = 19*z. Solve -2*c - 8 = k*a, z*c = -2*a + 7 + 1 for c.
4
Suppose 3*r = -3*b + 42, -4*b + 50 = 3*r - 4. Solve -4*s + 3*g + 9 = -7, b = 3*s + 4*g for s.
4
Let n = -241 - -244. Solve -5*b + q = -n, -q - 3 = 2*b - 0*q for b.
0
Suppose 2*v + 22 = 3*c, 14 = 3*v + 2. Let u = -15 - -10. Let l = c + u. Solve q = -l*s + 2*q + 18, s = -q for s.
3
Suppose -381 = -5*s - 376. Solve -b + s = -0*b - 5*u, u = -1 for b.
-4
Let n = 13 - 9. Solve n*t - 8 = 0, l + 3*t = -0*l + 7 for l.
1
Let z(r) = r**3 - r**2 - 3*r - 2. Let t be z(4). Let d be 2 + t/12 + 3/18. Solve -4*p - 3 - 22 = -5*v, -v = 5*p - d for v.
5
Let t(s) = s + 15. Let o be t(0). Let p be 3/(-2)*(-80)/15. Let z be 28/p - 1/2*1. Solve -o = -z*j + 4*m, 2*m = 4*m + 6 for j.
1
Suppose 0 = -2*w - 10 - 8. Let x be (-8)/(-6) + (-6)/w. Solve -a + 5 = -4*b - 3, b + 5*a = -x for b.
-2
Let x(n) = n**3 - 7*n**2 + 9*n - 7. Let l be x(6). Let a(i) = -168 - i + 101 + 83. Let f be a(l). Solve 0 = -2*v + o - f, 2*o + 20 = -3*v + o for v.
-5
Let p = 0 - -2. Let h(y) = 2*y - 1. Let d be h(2). Suppose 4*f = -d*n + 18, 3*f = p*f + n + 1. Solve -2*r - b = f*b - 30, -2*b = 4*r - 30 for r.
5
Suppose 4*v = 6*v - 10. Suppose 2*l - 43 = -v*f, -2*f - 4*l - 49 = -7*f. Solve -4*x - f = m + x, -4 = 2*x for m.
1
Let p be 4/(-16)*0 - -2. Suppose p*h = -3*a + 9 + 32, 5*h + 3*a = 116. Suppose -b - h = -6*b. Solve -5*l + 5*v = 15, l + 14 + 1 = b*v for l.
0
Suppose a + 17 = 13. Let i(k) = k + 5. Let f be i(a). Solve -9 - 1 = -5*t + 5*c, f = -2*t + c for t.
-3
Suppose -2*s + 8 = 105*w - 103*w, 2*s - 10 = -4*w. Solve s*h - 24 = 3*j, 0*h + 3*j = -5*h + 16 for h.
5
Suppose 5*c + 14 = -3*i, -4*i + 2 = -5*c - 26. Let k be 2*93/12*i. Solve 4*w = 3*s - k, -4*s - 2*w = 3*w for s.
5
Let i(u) = u**2 - u - 18. Let c be i(5). Solve 3*l + 4*y + 4 = 7, -2*l + c = 5*y for l.
1
Let a be 0 + -1 + 1 + 12/4. Let v = 2 + 0. Suppose -3*o = v*o - 15. Solve 2 = 2*u - o*i, u = -a*u - 2*i + 20 for u.
4
Let v be (12/24)/(1/36). Suppose 5*x - v*x + 156 = 0. Solve 0 = -2*d + 3*n - 8, 2*d - 4*n + x = 2 for d.
-1
Let u be (1*8)/((-196)/(-147)). Solve -2*x - o = -u, -3*o - 2*o = -3*x - 4 for x.
2
Let u(f) = 8*f + 5. Let x be u(-1). Let n be x/(1 + 0)*-1. Solve -a + n*w + 9 = 0, -w = -a - 1 + 6 for a.
3
Let z(o) = 37*o - 179. Let n be z(5). Solve 4*c - 2*p = n*c - 6, 5*c - 35 = 5*p for c.
5
Let j(r) = -r**3 - r**2 + r + 20. Let v be j(0). Solve v = -0*p - 4*p, 0 = 3*k - 4*p - 8 for k.
-4
Let v be 6/27 - 2728/(-36). Suppose -4*c = -n + v, -n + 3*n - 131 = c. Let f be -2 + -1 - n/(-8). Solve 3*k + f = 4*y, 3*k + 7*y + 14 = 2*y for k.
-3
Suppose 5*g = 5*z + 65, -1 = g - 3*z - 20. Solve 2*q + 28 = 4*b, 2*b - 3*q + 8*q + g = 0 for b.
5
Suppose -3*u - 6*t = -10*t - 8, 3*t = -2*u + 11. Solve -2*d = u*x - 5*x + 6, -2*x = 2*d - 6 for x.
4
Let h be (6/8)/(5/20). Let f(x) = x**3 + 4*x**2 - 6*x - 4. Let o be f(-4). Solve k = 4*w + 4, 8*k = 3*w + h*k + o for w.
0
Let m(f) = f**3 - 13*f**2 - 13*f - 12. Let y be m(14). Solve -3*j + 6*j - y*l - 16 = 0, l + 1 = -2*j for j.
2
Suppose 2 = 2*i + 4*a, 3*a - 5*a = -5*i + 5. Let u be (0 + -1)/((-1)/5). Solve 0*t - 3*t - 1 = -4*r, -4*r + u*t = i for r.
1
Let p = 16 - 3. Suppose -10 = -2*k + 4*h, -2*k - 4*h - p = -5*k. Solve -2*a + 4 = 3*a - k*j, 9 = -3*j for a.
-1
Suppose -6*d - s = -10*d + 48, -5*s = 4*d - 24. Solve 3*f + 5*q + d = 0, 5*f - 1 = q - 10 for f.
-2
Suppose -16 = d - 2*d. Let h = d - 13. Suppose 3*r = 2*y - 0*r, 0 = h*y - 2*r. Solve -z - 13 = -y*z + 3*k, -z + 3*k = -17 for z.
2
Let g(b) = 2*b - 5. Let t be g(4). Suppose 0 = -3*f + 3, -1 = t*r + 3*f - 4. Solve r = -5*q - 5*s + 15, 0 = -q + 6*q - 3*s - 23 for q.
4
Let j = 18 - 16. Let m = -23 + 14. Let r be (6/(-5))/(m/30). Solve 5*w + 2*p + r = 0, p - 1 = j*w + 2*p for w.
-2
Let f(r) = -23*r. Let y be f(-1). Let q be (58/(-5))/(34/(-85)). Suppose v = -j + 2*v + 7, -3*v = -5*j + q. Solve 2*k - w = j*w + y, 0 = 5*k - w for k.
-1
Let f(a) = -a**3 - 12*a**2 - 11*a + 5. Let t be f(-11). Suppose k - t = 0, 0 = -5*n + 2*k + 45 + 135. Solve 0 = -2*q - 10, 3 = 3*s + 4*q + n for s.
-5
Let n(a) = -a**3 - 2*a**2 - a + 1. Let l be n(-2). Suppose 0 = 5*c - 2*w - 12, 3*c - 5*w = 6*c - 32. Solve -3 = -3*q + l, -5*g = 2*q - c for g.
0
Suppose 3 = 8*i - 13. Suppose i*j + 2*c = -0*j - 2, -5*j - 4 = 4*c. Let p(w) = -2*w + 6. Let q be p(-6). Solve 4*y - t + q = j, -y + 2*t + 1 = -t for y.
-5
Let q(x) = -x**3 - 16*x**2 + 4. Let r be q(-16). Let n be 136/5 - r/(-5). Solve 0 = 5*l + u - 15, 4*l + u + 3*u = n for l.
2
Suppose -12*q + 8*q = 3*g - 17, g = -4*q + 19. Solve 0 = 6*t - 3*t - 2*r + 16, q*r - 17 = -4*t for t.
-2
Suppose 0 = -4*i - 70 - 106. Let z = 49 + i. Solve 20 = -z*g + 5*c, 0*c - 21 = 4*g + c for g.
-5
Let n be 27*(-4)/(-42) + 4/(-7). Solve -3*f - 6 = -v, f - n*v = -2*f - 3 for f.
-3
Let z be -2 - (2 - 1) - (-11 - -2). Solve 0 = 3*b - v + 7, 0 = 3*v - z*v + 12 for b.
-1
Let c(i) = i**2 - 3*i - 16. Let k be c(-3). Solve 5*v = k*v + n + 7, -2*v + 10 = -2*n for v.
1
Let f = 525 + -525. Solve 0 = -n - 0*n, -4*k + n = f for k.
0
Suppose 4*h - 102 = -54. Solve s + 6 = -s + 2*j, 4*s + 2*j = h for s.
1
Suppose 5*j = -5*v + 145, 3*v - 2*j = 1 + 76. Let u = v - 45. Let n be (3/9)/((-2)/u). Solve 6 = 3*o - n*h, -5*o - 2*h + 29 = -2 for o.
5
Let k be (-2)/(-2) - (2 - 15). Let d be -1 - 3/(6/(-10)). Solve 3*c - t = t, -c - d*t = k for c.
-2
Suppose 3*p - 40 + 13 = 0. Let r(t) = -2*t + 2. Let k be r(0). Suppose k*q = -2*q + 12. Solve q*n = 5*l - p, -2*l + l = 2*n - 7 for n.
2
Let j = -110 - -110. Solve -2*y + l + 11 = -j*y, -5*y + 3*l + 30 = 0 for y.
3
Suppose -4*v - v = -90. Let w = -6 + v. Let d = 51 - 49. Solve 5*y - h - 17 = 0, w = 3*y - d*h - 1 for y.
3
Let k(t) = t - 2. Let r be k(4). Let y be 6*2/3*1. Let a = -37 + 45. Solve -a = -2*v + y*m, 2*m + 0*m = r*v - 4 for v.
0
Suppose -30 = 4*i - 9*i. Suppose -i = -5*r + 3*r. Suppose -4*h + 3*o = -r, -5*h - 4*o + 0*o - 4 = 0. Solve -2*p + 2 = 2*j, -4*p + h*j = 2*j + 6 for p.
-4
Let l be -3*(0 + -2 + 0). Let i be (-30)/l*(-4)/10. Solve i*s = -s - 3*k + 12, -5*s + 5*k = 30 for s.
-1
Let r(l) be the third derivative of l**4/12 + 13*l**3/6 + 21*l**2. Let a be r(-4). Solve a*i + 2 = 12, 0 = -j - 4*i + 11 for j.
3
Suppose -4*s + 3*s + 4*k = 0, -5*s = k - 21. Let f be ((-2)/s)/((-4)/112). Let b = f + -10. Solve 4*c - 4*t + 0*t - b = 0, 4*c + 4*t = 28 for c.
4
Suppose -51 = -5*r - 131. Let z = -16 - r. Suppose -k + z*k = 0. Solve 5*u - 2*y = -20, 4*y = -u - k*y - 4 for u.
-4
Let o be (-10)/3*(15 - 9). Let v = 38 - 14. Let h = o + v. Solve -6 = 4*u - 2*x, -8*u - h*x = -4*u + 36 for u.
-4
Suppose -2*k + 5*l + 514 = 0, 5*l + 371 = 4*k - 647. Let m be 7/(-2)*(-432)/k. Solve -w - 2 = -j, -m*j - 3*w = -j - 18 for j.
3
Suppose -i = -3*t + 55, 3*t = 2*t - 4. Let p = 67 + i. Let s be ((-1)/(-2))/((-2)/(-12)). Solve -3*w + p = 5*r + 9, -s*r = w + 3 for r.
0
Let w(r) = 3*r - 6*r - 8*r + 5*r - 2. Let p be w(-2). Solve -2*h = 2*c - 4*h + p, -13 = 5*c + h for c.
-3
Suppose -m - 11 = -t, t = -3*t - 5*m + 89. Let x be (14/4)/((-2)/(-16)). Let u = x - t. Solve -3*h + w - 1 = 0, u = -h + 5*h + 2*w for h.
1
Let b = -1470 - -1476. Solve 2*n - 6*n + b = -q, -q = 5*n - 3 for n.
1
Let d(q) = q**2 - 8*q + 7. Let l be d(8). Let o = l + -4. Solve -2*h + o*w + 1 = 0, 0 = -3*h - 4*w + 1 + 9 for h.
2
Suppose -87*t -
|
{
"pile_set_name": "DM Mathematics"
}
|
1241, -0.3, -180?
-0.3
Which is the closest to 19? (a) 0.5 (b) 2 (c) -0.777
b
Which is the nearest to -1346/5? (a) 0.3 (b) -2/75 (c) -0.11 (d) -0.3
d
What is the closest to 133/2 in -2/5, 8, -0.1001, 0.5?
8
Which is the closest to 0? (a) -129 (b) 0.08 (c) -390
b
What is the closest to -1/115 in 0.4, -5, -0.2, -1/1115?
-1/1115
Which is the nearest to 0? (a) 40/3 (b) 0.4 (c) -0.2 (d) -2 (e) -6/5 (f) 35
c
What is the closest to -39 in 2/23, 1, -4, 1/11, 0.7?
-4
What is the closest to -2/7 in -1/2026, -1/14, 0.4, -0.059?
-1/14
What is the closest to -62 in 3822, 1/4, 8/5?
1/4
Which is the closest to -1/4? (a) -1.226 (b) -1/4 (c) 0.03 (d) -2
b
What is the closest to 195 in 2/7, -8, -2/11, -12/73, -1?
2/7
What is the closest to 2/207 in -2/7, 4, 0.1, 1.2, -0.003?
-0.003
What is the closest to 515 in -0.1, -7, -4/3, -1.9?
-0.1
What is the closest to 11 in -53, 6/17, -185?
6/17
What is the closest to -2/3 in -0.2, -3/5, -0.1621?
-3/5
Which is the nearest to 2/9515? (a) 3.2 (b) -2 (c) 2/7 (d) -1
c
Which is the closest to -116? (a) 0.1 (b) 4/7 (c) -5/42 (d) 0.4 (e) 26
c
What is the nearest to -1 in -6, -1.6, -17506?
-1.6
Which is the nearest to 1? (a) 104 (b) 0 (c) 266
b
Which is the closest to -1? (a) 2/55 (b) 3 (c) -0.4 (d) -1/5 (e) 2/3
c
Which is the nearest to -2? (a) 1.8 (b) 1137 (c) -388
a
What is the closest to 1 in 0.55, -5, 1, 913?
1
What is the nearest to 5 in -32, 0, 1.24?
1.24
What is the nearest to 28 in 2/11, 3, 0.9, 39, -2.9?
39
What is the closest to 16 in 8415, -3, 4/3, -0.1, 6/11?
4/3
Which is the nearest to 3? (a) -1/7 (b) 0.02 (c) 8/53 (d) 2 (e) 10
d
Which is the nearest to -119? (a) 2/5 (b) -1057/4 (c) -0.04
c
Which is the nearest to 0.1? (a) 0.2442 (b) 3 (c) -1.2 (d) 3/5 (e) -0.2 (f) -5
a
Which is the nearest to -17? (a) 84 (b) -5 (c) 0.1 (d) -0.2 (e) -0.6
b
Which is the nearest to 1? (a) -0.1 (b) -279 (c) -3/4 (d) -1/2 (e) 231
a
What is the nearest to 7 in 2449, -0.1, 14, -2, -3, -0.278?
14
Which is the nearest to 0? (a) -2 (b) 1 (c) 4/3 (d) 55/1384
d
What is the closest to 3 in -12, -4/33, 0.058, -3/7, 0.4?
0.4
What is the nearest to -3 in 2.7, -5, -0.4, 37/9?
-5
Which is the closest to -1.51373? (a) -0.5 (b) 2 (c) 5 (d) -2 (e) -5
d
What is the closest to -0.63 in 2, 3, 104/7, -5, 15?
2
What is the nearest to 22 in -1021, -3/7, 9?
9
What is the nearest to 27 in 2, 0, 10.08, 1?
10.08
Which is the nearest to 61? (a) -1/3 (b) 1 (c) 4/55 (d) 3519
b
What is the closest to -1/2 in -3, 589, -24, 3/17, -4?
3/17
Which is the nearest to -2? (a) -3 (b) 2/11 (c) 71380/9
a
Which is the closest to 1/5? (a) 3/7 (b) 0.2 (c) 4 (d) -4845
b
Which is the nearest to 1/55? (a) -3/2 (b) -1/5 (c) 1141 (d) -3
b
What is the nearest to -0.1 in -16, 509, -26?
-16
What is the nearest to 1 in -4, 0.5, -0.03, 67930?
0.5
What is the closest to 1.1 in 0, 0.11, 0.232, 71, 5?
0.232
Which is the nearest to -7978? (a) 3/2 (b) 4 (c) 0.8 (d) -1
d
Which is the nearest to -52? (a) -1/3 (b) 0 (c) 420989
a
Which is the nearest to -0.26? (a) 4 (b) 1/11 (c) 2 (d) -866/7
b
Which is the closest to 1? (a) -4 (b) 176 (c) -2/11 (d) 3 (e) -379
c
What is the nearest to 1 in -95/78, 3, -17, -4?
3
What is the nearest to 1/135 in -3/2, 2/3, 2/5, -128?
2/5
Which is the closest to -41? (a) -23/2 (b) 10 (c) 0.3 (d) 0.1 (e) 5
a
What is the nearest to -83 in 8, 0.09, -94, 0.1, -0.1?
-94
Which is the closest to 8647.71? (a) 1/4 (b) -4 (c) 1 (d) 5
d
Which is the closest to -1/3? (a) -17 (b) -4 (c) -85/1226 (d) -1/3 (e) 3
d
Which is the nearest to 1/7? (a) 0.3 (b) 4 (c) -91 (d) 3/2 (e) 75
a
What is the closest to 1 in 0.014, -4/9, 12, -0.2, 1?
1
What is the closest to 2/639 in 5, -9/7, -0.12, 6?
-0.12
What is the nearest to 3 in 4390, 2, -0.1, -5/6, 0.211?
2
What is the nearest to -4/7 in -3/2, -4, -301, -1/10?
-1/10
Which is the closest to 1? (a) -4 (b) -121 (c) 0.4 (d) -2 (e) 58
c
Which is the nearest to -1? (a) 2 (b) 1/9 (c) 0.6 (d) 5/3 (e) 11.2
b
Which is the nearest to -2/193? (a) -1 (b) -3 (c) 16/21 (d) -6/5
c
What is the closest to -0.3 in -0.2485, -1.11, -2/19?
-0.2485
Which is the nearest to 18.3? (a) 0.3 (b) 0.2 (c) 44 (d) 6.5 (e) -2/13 (f) -12
d
Which is the closest to 268? (a) 2 (b) -13025 (c) -2/3
a
What is the nearest to 1 in 2/33, 52/7, 157, 0.2, -1/10?
0.2
Which is the closest to 0.02? (a) -914 (b) -2 (c) 323 (d) 1 (e) -2/13
e
What is the closest to -1/2 in 4, 0.1, 0.97, -230/91?
0.1
What is the nearest to 7/2 in 120, -4, -11?
-4
What is the nearest to 0.1 in -3/173, -1.6, 6/11, 0.9, -5?
-3/173
What is the nearest to -2 in -4.4, -5, -34, -466, -0.4?
-0.4
Which is the closest to 2/11? (a) -4 (b) 670 (c) 21 (d) -0.19 (e) 1/3
e
Which is the closest to -3/8? (a) 1/3 (b) -1/2 (c) -2/305 (d) -3/16 (e) -67/4
b
What is the nearest to 0.2 in 0.02, 2, 436, 1/22, 5?
1/22
Which is the nearest to -1/429? (a) -4 (b) 0.2 (c) -3 (d) 19 (e) 1 (f) -15
b
Which is the closest to -327? (a) -4 (b) -1 (c) -2/21 (d) 0 (e) 1/4 (f) 15
a
Which is the closest to -20? (a) 1 (b) 2.89 (c) 705
a
What is the closest to 21/13 in 2, -1591.87, -5/4?
2
Which is the closest to 0? (a) -0.25 (b) 2245/9 (c) 1
a
Which is the closest to 0? (a) -11.3 (b) -2953 (c) 0.5
c
Which is the nearest to -73.3? (a) 1/2 (b) 0 (c) -3 (d) -1/3 (e) -13/19 (f) -2/3
c
Which is the nearest to 57? (a) 3284 (b) -1 (c) -6
b
Which is the nearest to 0.51? (a) 14 (b) -4 (c) 174.6
b
Which is the nearest to -2? (a) 1/4 (b) 0.1 (c) 2/71 (d) 1 (e) 0.0266 (f) 23
e
Which is the closest to -0.4? (a) 4/9 (b) -1.24 (c) 1 (d) -5/6
d
What is the nearest to -1/18 in -0.5, -1.5, 0.05, -1818, -2?
0.05
What is the nearest to 2481 in 1.7, 3/7, -0.7, -1?
1.7
Which is the nearest to -7? (a) -7 (b) -5 (c) 0.4 (d) 0.238 (e) 2
a
What is the nearest to 0.5 in -0.02, -3, 160, -41?
-0.02
What is the nearest to -336 in 0.29, -2/37, 2, -32?
-32
What is the closest to 5 in -931, 9/5, 1/4, -3, -1/4?
9/5
What is the closest to -0.3 in -19, 0.2, -17982?
0.2
Which is the closest to 0.1? (a) 2/3 (b) 1 (c) 16169 (d) -30 (e) 4
a
Which is the nearest to -419? (a) -297 (b) -21 (c) 0.05 (d) 0.5
a
Which is the closest to 10/31? (a) 0.05 (b) 2/11 (c) -1/10 (d) -8.6
b
What is the nearest to 0 in 3.23, 12, 68, 2, 1?
1
Which is the closest to -1? (a) 2/7 (b) -3/2 (c) 99 (d) -0.03851
b
What is the nearest to 0.2 in 0.3, -2/2333, -1/104, -0.7?
0.3
Which is the nearest to -563? (a) 1/3 (b) -0.0665 (c) 2 (d) 5
b
What is the closest to -2 in 0.076, 5, 2/3, -533?
0.076
Which is the closest to -37? (a) 0.4 (b) -39/4 (c) 1.4 (d) 5
b
What is the nearest to 17 in 181170, 1, -2/5?
1
What is the nearest to 0.1386 in -0.431, 3/10, -3/2?
3/10
What is the nearest to 0.232 in -0.13, -0.3, 5, 16?
-0.13
Which is the nearest to 12? (a) -0.06 (b) 6 (c) -11 (d) -0.4 (e) -2
b
What is the nearest to 1 in 12, 10, 9, 2, 0.378?
0.378
Which is the nearest to -1? (a) 1/12 (b) 3/29 (c) -5 (d) 0.28 (e) 355
a
Which is the nearest to -64? (a) 0.14 (b) 2/17 (c) -864 (d) 0
d
Which is the closest to -1/38? (a) 4/13 (b) -0.029 (c) -1/4 (d) -2
b
What is the closest to -1 in -0.32, -0.5, 2528, 2/9?
-0.5
Which is the closest to -135? (a) -0.3 (b) 1/3 (c) 0.2 (d) -9.6
d
What is the closest to 2 in -1, -1230, -2659/6, 2?
2
Which is the closest to 24/11? (a) -844/7 (b) -56 (c) 2
c
What is the closest to -1849/2 in -0.307, 4, 1/3?
-0.307
What is the nearest to 2/9 in 4.9, 158, 31, 2?
2
Which is the closest to -1/4? (a) 49/4 (b) 3/4 (c) -0.1 (d) -6 (e) 0.5
c
Which is the nearest to 0? (a) -6 (b) 7/345 (c) 2/7 (d) -0.015 (e) 4
d
Which is the nearest to 1/2? (a) -2/29 (b) -0.06 (c) 3786
b
Which is the nearest to 5? (a) 2/107 (b) -1 (c) -5/26 (d) -2/5 (e) -4
a
Which is the closest to -8? (a) -57/4 (b) 0.0068 (c) 0.07
a
What is the nearest to 2/9 in 2/21, 301, 398, 11?
2/21
What is the closest to -0.2 in 2/13, -338, 59/7?
2/13
Which is the closest to 0.2? (a) 144 (b) -90/13 (c) 442 (d) 3
d
What is the closest to -984 in -2, -0.2, 116.8?
-2
Which is the closest to -1/7? (a) 7 (b) 0.42 (c) 18 (d) 0.1 (e) -0.6 (f) 2/5
d
What is the nearest to -
|
{
"pile_set_name": "DM Mathematics"
}
|
ence pkk?
5/28
Calculate prob of sequence jub when three letters picked without replacement from okuubuj.
1/70
What is prob of sequence sya when three letters picked without replacement from yggsggsayswsgsgwys?
1/272
Two letters picked without replacement from agopaopplopoa. What is prob of sequence lo?
1/39
Four letters picked without replacement from ibiblbllkibbbw. Give prob of sequence wlkl.
1/4004
Two letters picked without replacement from hhhbhhbvhvh. Give prob of sequence bb.
1/55
Two letters picked without replacement from zfz. What is prob of sequence zz?
1/3
Two letters picked without replacement from {v: 17, z: 1, l: 1}. Give prob of sequence ll.
0
Calculate prob of sequence uuu when three letters picked without replacement from {u: 5, c: 3}.
5/28
Calculate prob of sequence ddd when three letters picked without replacement from wwwwdwswswwdww.
0
Three letters picked without replacement from cpcctctete. Give prob of sequence tcc.
1/20
Calculate prob of sequence ak when two letters picked without replacement from {a: 2, p: 1, k: 3, r: 1}.
1/7
Three letters picked without replacement from {k: 2, a: 2}. Give prob of sequence aak.
1/6
Calculate prob of sequence ngi when three letters picked without replacement from {n: 1, g: 2, i: 1, p: 3}.
1/105
Four letters picked without replacement from weeweteewtt. What is prob of sequence ewww?
1/264
Two letters picked without replacement from xzzxxxzzzzzx. Give prob of sequence zz.
7/22
What is prob of sequence ta when two letters picked without replacement from unuauauuutaununuanaf?
1/76
Two letters picked without replacement from queuueueqpe. Give prob of sequence qp.
1/55
Calculate prob of sequence bss when three letters picked without replacement from {s: 2, m: 4, b: 7, h: 1, j: 4, y: 2}.
7/3420
Calculate prob of sequence pcpp when four letters picked without replacement from {i: 1, o: 3, c: 5, f: 3, p: 6, l: 1}.
25/3876
What is prob of sequence aap when three letters picked without replacement from {a: 7, p: 2}?
1/6
Four letters picked without replacement from vvvvvavvao. Give prob of sequence oavv.
1/60
Four letters picked without replacement from {t: 9}. Give prob of sequence tttt.
1
What is prob of sequence bwb when three letters picked without replacement from awbwb?
1/15
Calculate prob of sequence ubub when four letters picked without replacement from uubbubbbbbu.
7/110
Three letters picked without replacement from fmodfffh. Give prob of sequence mof.
1/84
Two letters picked without replacement from fpplppllpllffpffpp. Give prob of sequence lf.
25/306
What is prob of sequence dpk when three letters picked without replacement from kcpdp?
1/30
Calculate prob of sequence sesl when four letters picked without replacement from slssesessssslss.
11/819
Two letters picked without replacement from jnsowvn. Give prob of sequence wn.
1/21
Two letters picked without replacement from {n: 1, l: 1, r: 2, t: 1, f: 2, j: 1}. What is prob of sequence jr?
1/28
What is prob of sequence qe when two letters picked without replacement from neenqxnxxni?
1/55
Four letters picked without replacement from qynzpnp. What is prob of sequence znpn?
1/210
Four letters picked without replacement from nyywbagw. What is prob of sequence wnyg?
1/420
Four letters picked without replacement from mmrpmrreopmo. What is prob of sequence emro?
1/495
Calculate prob of sequence zz when two letters picked without replacement from zdddddddzddd.
1/66
Four letters picked without replacement from ofollofofffyfofyfoo. What is prob of sequence oflf?
49/5814
What is prob of sequence vv when two letters picked without replacement from zzzvhzhvtvhhttvtvv?
5/51
What is prob of sequence mmmm when four letters picked without replacement from mmmmmmmmm?
1
Two letters picked without replacement from ayaobbibooooaaaaaya. What is prob of sequence ai?
4/171
What is prob of sequence jaw when three letters picked without replacement from haathahwwwajw?
4/429
Two letters picked without replacement from sbvhbbaxvaa. Give prob of sequence ba.
9/110
What is prob of sequence vv when two letters picked without replacement from {v: 10}?
1
Two letters picked without replacement from {g: 3, q: 5}. Give prob of sequence qg.
15/56
Calculate prob of sequence bwwb when four letters picked without replacement from {w: 7, b: 3, c: 2}.
7/330
Calculate prob of sequence ppt when three letters picked without replacement from pptpttp.
6/35
Four letters picked without replacement from {a: 1, h: 8, y: 1, e: 2, b: 8}. What is prob of sequence hhey?
14/14535
Three letters picked without replacement from ddkdddkdkkdk. What is prob of sequence ddd?
7/44
Two letters picked without replacement from {n: 6, y: 7, l: 6}. Give prob of sequence yy.
7/57
Calculate prob of sequence ph when two letters picked without replacement from {a: 2, h: 1, l: 1, p: 1, j: 1, d: 1}.
1/42
Two letters picked without replacement from zvvvvvzvzzzvv. What is prob of sequence vv?
14/39
What is prob of sequence nc when two letters picked without replacement from conjz?
1/20
Two letters picked without replacement from {v: 1, x: 3, a: 2, p: 3, f: 1}. What is prob of sequence fx?
1/30
What is prob of sequence ce when two letters picked without replacement from eezceooozoccozeco?
1/17
Three letters picked without replacement from zvzfzzozv. What is prob of sequence zfz?
5/126
Four letters picked without replacement from {m: 1, i: 5, w: 5, p: 1}. Give prob of sequence wpwm.
1/594
What is prob of sequence ci when two letters picked without replacement from {v: 1, u: 2, f: 6, i: 4, c: 3, d: 3}?
2/57
What is prob of sequence fh when two letters picked without replacement from ppphhfpfpfpffp?
5/91
Three letters picked without replacement from {k: 4, e: 3, v: 2, a: 1}. What is prob of sequence vee?
1/60
Two letters picked without replacement from qqqqqoqqqoqoqqqqqq. What is prob of sequence qo?
5/34
Four letters picked without replacement from {n: 2, c: 1, l: 1, r: 6, m: 2}. Give prob of sequence mmrl.
1/990
Four letters picked without replacement from hhhdhhxtxhhhdhadh. What is prob of sequence dxha?
1/952
What is prob of sequence kcl when three letters picked without replacement from {x: 1, y: 1, k: 2, c: 2, l: 1}?
2/105
What is prob of sequence vqvd when four letters picked without replacement from qdtdvyvvvv?
1/126
What is prob of sequence pa when two letters picked without replacement from {p: 1, i: 2, t: 4, a: 1}?
1/56
Four letters picked without replacement from jjfffjjfjjfjf. Give prob of sequence jfjj.
21/286
Calculate prob of sequence fof when three letters picked without replacement from {f: 7, o: 12}.
28/323
Calculate prob of sequence oo when two letters picked without replacement from iooiiio.
1/7
Four letters picked without replacement from {r: 2, w: 5, k: 3}. What is prob of sequence krkw?
1/84
Two letters picked without replacement from {g: 1, f: 6, w: 2, c: 1, h: 1, j: 4}. What is prob of sequence hj?
2/105
Calculate prob of sequence fue when three letters picked without replacement from fduusdsfdude.
1/220
Two letters picked without replacement from {f: 4, t: 10, b: 2}. Give prob of sequence tb.
1/12
Four letters picked without replacement from rzrzrrorrzzzr. What is prob of sequence zzro?
7/858
What is prob of sequence nvmh when four letters picked without replacement from {v: 1, o: 1, m: 1, h: 1, d: 2, n: 2}?
1/840
Four letters picked without replacement from {a: 1, m: 7, q: 10, c: 2}. What is prob of sequence cmaq?
7/5814
Calculate prob of sequence jt when two letters picked without replacement from {k: 2, j: 2, t: 4}.
1/7
What is prob of sequence aar when three letters picked without replacement from babbarvb?
1/168
Three letters picked without replacement from {u: 2, w: 3, p: 5, n: 2}. Give prob of sequence pup.
1/33
Two letters picked without replacement from cwdcc. Give prob of sequence cw.
3/20
Three letters picked without replacement from rrj. Give prob of sequence rjr.
1/3
Calculate prob of sequence hth when three letters picked without replacement from hht.
1/3
Three letters picked without replacement from {v: 5, z: 8, x: 4, w: 1}. Give prob of sequence xzv.
5/153
Three letters picked without replacement from {t: 2, e: 5}. Give prob of sequence eet.
4/21
What is prob of sequence
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the units digit of z?
0
Let t = 739 - 367. What is the tens digit of t?
7
Suppose -3*r - 4*g - 8 = 0, -2*g + 2 = r - 3*g. What is the hundreds digit of 141 + r - -1 - (-46)/46?
1
Suppose -3*j + 678 = -5*l - 1712, 0 = -5*j - 2*l + 4035. What is the units digit of j?
5
Let y = 136 + 215. What is the tens digit of y?
5
Suppose 3*l + 6 = u - 0, -2*l + 1 = u. Suppose -4*x - c = -135, u*x = -5*c + 3*c + 100. What is the units digit of x?
4
Suppose -r - 4*r + 2 = -i, r = -2*i + 7. Suppose 6*s = -3*h + 4*s - 79, -i*s + 94 = -4*h. What is the tens digit of (2 + 160/h)*-5?
2
Let y(d) be the first derivative of -3*d**4/4 + d**3 + d**2 - 2*d - 7. What is the units digit of y(-2)?
0
Let n = 3769 + -2168. What is the units digit of n?
1
Let b(v) = 6*v + 7. Let h be b(5). Suppose p - 48 = h. Suppose 2*c - 25 - p = 0. What is the tens digit of c?
5
Suppose 32670 = 25*z + 2*z. What is the units digit of z?
0
Let o = -20 + 21. Let g be o - (-5 + 3) - 3. Suppose g = 2*u + 3*l - 36, -2*l = -3*u + l + 84. What is the tens digit of u?
2
Let t(n) = -573*n + 3. What is the tens digit of t(-2)?
4
Let p = 574 - 350. What is the units digit of p?
4
Let k be ((-199)/6 - 9/18)*3. Let a = 242 + k. What is the units digit of a?
1
Let b be (2 + -3)*(1 + 0). Let l be b*(-12)/8*2. Let k = l + -1. What is the units digit of k?
2
What is the units digit of 238/(-3)*(-21)/7 + 6?
4
Let s(l) = -3*l + 40. Let x be s(0). What is the tens digit of 7/((-84)/x)*-39?
3
Suppose -259*q + 243*q + 208 = 0. What is the units digit of q?
3
Let d = 614 + -417. Let j be 1 - (-7 - (-7 + -2)/3). Suppose 153 = 4*q - 3*f, 0 = -j*q - 2*f - 0*f + d. What is the tens digit of q?
3
Suppose k + 0*k - 1195 = -5*d, 4*d + 4*k = 956. What is the hundreds digit of d?
2
Suppose -4*q + 30 = q - 3*y, 4*q - 5*y = 37. Let f be -5 - -12 - 1*-3. Suppose 0 = q*s + f - 103. What is the units digit of s?
1
Let g(c) = 22*c**3 - 3*c**2 + 5*c. What is the units digit of g(3)?
2
Let k be (-7)/(-7) - (-124)/2. Let s = k + 37. What is the tens digit of s?
0
Let n(w) = w - 4. Let b(u) = u - 1. Let j(r) = 5*b(r) - 3*n(r). Let a be (-10)/(-4)*(-2)/(-1). What is the tens digit of j(a)?
1
Let q = 42 - 27. Suppose 111 = -12*h + q*h. What is the units digit of h?
7
Let k(z) = z**2 + 8*z - 1. Let r(y) = -2*y**2 - 2*y**2 - 8*y + 3*y**3 - 2*y**2 - 3 - 2*y**3. Let l be r(7). What is the tens digit of k(l)?
1
Suppose -318 = -4*b - 2*b. Suppose 15 = 5*t - 10. Suppose 87 + b = t*o. What is the tens digit of o?
2
Let z be 6/10 - (-28)/20. Suppose -q = -z, -5*h = q + 8 - 45. Let m = -2 + h. What is the units digit of m?
5
What is the units digit of (-18)/(-5) - (-50)/125?
4
Suppose -2*k - 4 = -4*h, 0 = k + 2*h - 19 + 1. Suppose 2*a + k*a = 1010. What is the units digit of a?
1
Suppose -7*r - 7293 = -9*r - 3*g, g = -1. What is the units digit of r?
8
Suppose -45*q + 20914 = -17201. What is the tens digit of q?
4
Let w be (8 + -1)/((-2)/6). What is the tens digit of (-6 - -3 - -14)/((-3)/w)?
7
Suppose 153 = 4*c - 3*n, 0 = -4*c + n - 3 + 150. Let j = c - 11. What is the tens digit of j?
2
Let u be (-1 - 0)/(3/(-9)). Let z be -7*u*12/(-63). Suppose 0 = 2*v + z*y - 84, -4*y - 4 = -4*v + 176. What is the units digit of v?
4
Suppose m + 20 = 3*m. Let s be m/15 + 21/9. Suppose -o = 2*z - 14, z - 4 = -s. What is the tens digit of o?
1
What is the tens digit of (-4600)/(-32) + 3/(-4)?
4
Suppose t - 712 = -4*h, 37*t + 534 = 3*h + 41*t. What is the tens digit of h?
7
Suppose -136*r + 159*r = 93150. What is the hundreds digit of r?
0
Let l be (5/(75/160))/(1/(-3)). What is the tens digit of l*(-21)/3 - 4?
2
Suppose -6*n + 4*n = -20. Let y = 2 - n. Let b(w) = w**3 + 9*w**2 + 6*w - 6. What is the units digit of b(y)?
0
Suppose -4*k = 2*f - 24, -k = 3*f - 23 + 2. Suppose -b + 217 = f*b. What is the units digit of b?
1
Let b = -9 + 6. Let c be (b + (-39)/9)*-3. Suppose -c = -w + 5. What is the tens digit of w?
2
Let a be 24/36 - 2/3. Suppose 280 = 2*k + 2*d - 3*d, a = -k - 2*d + 145. What is the hundreds digit of k?
1
Suppose -4017 = -14*x + 11*x - 4*h, -5*h = -15. What is the hundreds digit of x?
3
Suppose -2069 = -17*a + 9338. What is the hundreds digit of a?
6
Let g(k) = -k**2 + 8*k - 2. Let x = -21 - -28. What is the units digit of g(x)?
5
Suppose u - 238 = 5*i + 116, 4*u = 5*i + 1461. What is the tens digit of u?
6
Let s be (-3 + 790/(-4))*(-4 + -4). What is the units digit of (-12)/(-9) - (-2 + s/(-12))?
7
Let g = -523 - -924. What is the units digit of g?
1
Let q(a) be the second derivative of a**5/20 + 2*a**4/3 + 7*a**3/6 + 6*a. Let s be q(-7). Suppose 4*f - 6*f + 16 = s. What is the units digit of f?
8
Let z be (76/(-10))/((-1)/5). Let o be 1/((-9)/(-18)) - (-4 + 2). Suppose 254 = -x + 6*x - o*u, z = x - 4*u. What is the units digit of x?
4
Suppose 11*j + 111 = 386. What is the tens digit of j?
2
Suppose 2*o - 7 = -9, 3*x - 1907 = -4*o. What is the units digit of x?
7
Let i = -11 - -5. Let l be (-1)/i - (-1434)/36. Suppose 6*y - l = y + 2*s, y + 4*s - 30 = 0. What is the tens digit of y?
1
Let b(o) be the second derivative of 8*o - 4/3*o**3 + 7/2*o**2 + 0 + 1/6*o**4. What is the units digit of b(6)?
1
Let t(v) = -7*v + 29*v - 5*v - 12*v + 3. Let u be t(3). Suppose -u = -3*s + 21. What is the tens digit of s?
1
Let v(u) = 77*u - 429. What is the hundreds digit of v(30)?
8
What is the tens digit of ((-2)/(-4))/(3/1374)?
2
Let d be 66/(-3 + 4) - -1. Let y = 49 + d. What is the hundreds digit of y?
1
What is the tens digit of (4 - 8 - -67) + (-2)/2?
6
Let z(a) = a**2 - 18*a + 4. Let r be z(18). Let c be ((r - 4)/(-5))/(-1). Let j(l) = -l**3 + l**2 + 39. What is the tens digit of j(c)?
3
Let n be (1 + (-3 - -3))/(-1) - -37. Let k = n + 11. What is the units digit of k?
7
Suppose 5*u = p + 19, -u + 10 + 13 = -5*p. What is the units digit of 2*((-3)/9)/(u/(-333))?
4
Let t be (-4)/18 - 69944/(-63). What is the tens digit of 2/(-7) + t/14 + 1?
8
Suppose -2*o = 4*s - 15146, 4*o = -s - 4*s + 18934. What is the units digit of s?
6
Let i(o) = o**3 + 16*o**2 - 38*o - 34. Let s be i(-18). Let k(f) be the first derivative of 2*f**3 + f**2 - 1. What is the units digit of k(s)?
8
Let t(d) = -d**3 - 4*d**2 - 3*d + 1. Let u be 3*((-12)/3)/4. What is the units digit of t(u)?
1
Let b = 160 - 157. Suppose b*i + 2*n = 7*n + 182, -5*i = 5*n - 330. What is the units digit of i?
4
Let l(k) = 5*k - 7. Let x be l(3). What is the tens digit of 106/x - (-3)/4?
1
Let h = 99 - 80. Suppose -h*z + 2*z = -5644. What is the hundreds digit of z?
3
Suppose 2*z - 18 = -q + 7*z, 80 = 2*q + z. Suppose -2*n = -60 - q. What is the tens digit of n?
4
Suppose 4*w + 381 = 5*z + w, -4*z = 5*w - 290. Suppose -z = -7*m + 4*m. What is the units digit of m?
5
Let a = -139 + 156. Let j(m) = m**3 - 18*m**2 + 26*m + 4. What is the hundreds digit of j(a)?
1
Suppose 4*o = -2*o + 18. What is the units digit of (3 + (-62)/(-4) + o)*2?
3
Let i(g) = g**2 + 7*g + 7. Let t be i(-7). What is the tens digit of 132 - (-2)/2*(-14)/t?
3
Let w(b) = 189*b**2 + 30*b + 61. What is the tens digit of w(-2)?
5
Let i(x) = 8*x**2 - 9*x - 76. What is the hundreds digit of i(-6)?
2
Let d(t) = -28*t**3 + 2*t**2 + 2*t + 1. Let k be d(-1). Suppose 4*w - k = -3*g + 31, 4*g + w - 80 = 0. What is the tens digit of g?
2
Let z be (-326)/(-10) - 9/15. Suppose 43 = o - 5*l, 3*o - 2*l - 74 = 2*l. Let u = z - o. What is the units digit of u?
4
Suppose 0*x - 363 = -b - 3*x, 1396 = 4*b - 2*x. Suppose -3*k + b = g - 4*g, 4*k - 5*g = 463. What is the tens digit of k?
2
Suppose -261 = -5*b + 4*b. Let k = b + -150. What is the tens digit of k?
1
Let t = 18258 + -13011. What is the tens digit of t?
4
Let k = -6 - -231. What is the hundreds digit of k?
2
What is the tens digit of (-33)/(-44) + (-1529)/(-4)?
8
Let x be 1018/14 - (-8)/28. Suppose -5*h = -17 - x. What is the tens digit of (2 - 1)*(1 + h)?
1
Suppose 0 = -2*b - m + 5*m + 108, 122 = 2*b + 3*m. What is the units digit of b?
8
Suppose 0 = -w + 13 - 1. Let t = -139 + 140. Let l = w + t. What is the tens digit of l?
1
Let a be 5*(1/4 - (-3)/4). Suppose a*m - 1670 = -5*m. What is the tens digit of m?
6
What is the tens digit of 1/(5/185) - 2?
3
Suppose 0 = 2*c + 4*c - 1146. Suppose -4*x = 3*q - c, -3*q = q + 5*x - 253. What is the tens digit of (-6)/57 - (-1431)/q?
2
Suppose c
|
{
"pile_set_name": "DM Mathematics"
}
|
2, what is -1010 + 110000001?
101110111
In base 10, what is 7 - -21?
28
In base 2, what is 1100010 - 100?
1011110
In base 4, what is -3220 - -10?
-3210
In base 7, what is -113 - -2?
-111
In base 3, what is 1021112022 - 10?
1021112012
In base 3, what is 11222 + -11?
11211
In base 7, what is 6 + -24?
-15
In base 2, what is -101100 + 1001101?
100001
In base 14, what is 5 + 21?
26
In base 7, what is 6 - -4?
13
In base 7, what is 4051 + 1?
4052
In base 5, what is -32012 - 2?
-32014
In base 12, what is -1345 - 2?
-1347
In base 12, what is -1 - 5a?
-5b
In base 15, what is -2 - 107d?
-1080
In base 16, what is -3 - 216?
-219
In base 16, what is -e + -34?
-42
In base 9, what is 46310 - -2?
46312
In base 9, what is 5 + 1507?
1513
In base 15, what is 15 + -1b?
-6
In base 9, what is -238 + -1?
-240
In base 12, what is 394 - 0?
394
In base 15, what is -32 - -10?
-22
In base 13, what is -28a - a?
-297
In base 3, what is 10 - -102202?
102212
In base 14, what is -60 + 0?
-60
In base 12, what is 0 + -35?
-35
In base 11, what is -460 - -12?
-449
In base 13, what is 3a7 + 4?
3ab
In base 3, what is -121 - -112?
-2
In base 5, what is -2 + -104?
-111
In base 16, what is -10cc + -3?
-10cf
In base 15, what is -74a + -2?
-74c
In base 8, what is 50 + 74?
144
In base 16, what is ad + 2?
af
In base 5, what is 2 - -10121?
10123
In base 4, what is -2 + 310?
302
In base 8, what is 5 + 144?
151
In base 6, what is -11 - -103?
52
In base 15, what is 6 + -a?
-4
In base 13, what is -541 + 27?
-517
In base 10, what is 13 + 140?
153
In base 14, what is 266 + -5?
261
In base 8, what is 46362 - -2?
46364
In base 8, what is -2 + -147?
-151
In base 14, what is -3 - -64a?
647
In base 3, what is 1001101 + 121?
1001222
In base 9, what is 62 - 0?
62
In base 4, what is 1 + 213?
220
In base 2, what is 1010111 + -100?
1010011
In base 4, what is 2323 + -2?
2321
In base 2, what is -10000011001000 - 11?
-10000011001011
In base 16, what is 4 - 9b?
-97
In base 5, what is 1 + -2240?
-2234
In base 8, what is 5 - 775?
-770
In base 3, what is -1 - 21?
-22
In base 5, what is -10 - -32?
22
In base 11, what is 18 + -15?
3
In base 6, what is 1423 + -1?
1422
In base 7, what is 5 + -260?
-252
In base 8, what is -2154 + 3?
-2151
In base 12, what is -147 + 4?
-143
In base 2, what is 11101 + 100011?
1000000
In base 5, what is -3 + -30?
-33
In base 16, what is e + 11?
1f
In base 14, what is 2 - -5a?
5c
In base 16, what is 3d8 - 5?
3d3
In base 2, what is 101110010110 - 0?
101110010110
In base 12, what is 7 - 45?
-3a
In base 15, what is -6 - -32?
2b
In base 8, what is 62 - 12?
50
In base 11, what is -140 + 3?
-138
In base 16, what is -4dd - 3?
-4e0
In base 3, what is -2112 - 22?
-2211
In base 15, what is -5 - -d8?
d3
In base 4, what is -1123 + 320?
-203
In base 5, what is -31 + 142?
111
In base 2, what is -100000110 - -101?
-100000001
In base 7, what is 32 + -43?
-11
In base 10, what is 8 - 219?
-211
In base 4, what is -23 + -32?
-121
In base 4, what is -13031 - -13?
-13012
In base 12, what is -3 - -33?
30
In base 8, what is 16 - -60?
76
In base 16, what is -4 - 13d?
-141
In base 9, what is -4777 + 2?
-4775
In base 13, what is 3 - -bb?
c1
In base 2, what is 11000001 + 1010?
11001011
In base 3, what is -1 + -100201?
-100202
In base 16, what is -1c - 56?
-72
In base 6, what is 0 - -3?
3
In base 3, what is -10001 + -12?
-10020
In base 6, what is -1 + 505?
504
In base 8, what is 332 + 11?
343
In base 4, what is 11 - -32?
103
In base 7, what is -4 + -5650?
-5654
In base 4, what is -3111302 - 0?
-3111302
In base 12, what is -487 + 5?
-482
In base 7, what is -5 + 1004?
666
In base 5, what is 413 + 332?
1300
In base 15, what is 3 - 2?
1
In base 2, what is -11 - -1010001111?
1010001100
In base 3, what is 11 + -101222221?
-101222210
In base 8, what is 25 - -205?
232
In base 12, what is 2 + -60?
-5a
In base 6, what is 1 - -1042?
1043
In base 4, what is -10 + 32101?
32031
In base 4, what is 12000 - -3?
12003
In base 9, what is 8323 + 4?
8327
In base 14, what is 24 + 9?
2d
In base 2, what is -100 - -1011100101?
1011100001
In base 13, what is 401 - -3?
404
In base 2, what is -11 + 110001001110?
110001001011
In base 12, what is -87 - -19?
-6a
In base 12, what is -2b - -56?
27
In base 11, what is 1 + 102?
103
In base 10, what is -2 - -4452?
4450
In base 11, what is 505 - 1?
504
In base 16, what is -1d - 10?
-2d
In base 15, what is 7 - 1?
6
In base 12, what is 51 - -2?
53
In base 14, what is -622 - 1?
-623
In base 16, what is -b + 2?
-9
In base 6, what is -13 - 105?
-122
In base 10, what is -74 + 48?
-26
In base 14, what is -171c + 0?
-171c
In base 9, what is 5888 - 1?
5887
In base 9, what is 486 - 8?
477
In base 3, what is -20221 + -122?
-21120
In base 16, what is -2 + -158?
-15a
In base 12, what is 6 + 256?
260
In base 3, what is 12 + -11002?
-10220
In base 9, what is -51025 - 4?
-51030
In base 11, what is 4 - 18?
-14
In base 4, what is 2 - -1203?
1211
In base 11, what is -3 + -7a?
-82
In base 9, what is 5 - 82?
-76
In base 8, what is 1 - 21?
-20
In base 14, what is -1780 + 0?
-1780
In base 16, what is -5 + 6?
1
In base 7, what is 5 - -136?
144
In base 10, what is 4 + 3825?
3829
In base 12, what is b - 3?
8
In base 13, what is 11 - -175?
186
In base 6, what is -1040 + -14?
-1054
In base 5, what is -4 - 241?
-300
In base 9, what is 18 - 354?
-335
In base 14, what is -a - 9?
-15
In base 11, what is -260 + 5?
-256
In base 4, what is -10 + -12012?
-12022
In base 10, what is 0 + -12?
-12
In base 15, what is 4 + -3b8?
-3b4
In base 2, what is -11110 + 100101000?
100001010
In base 3, what is -211 - -221?
10
In base 13, what is -3 - 3?
-6
In base 2, what is -1101 - 1100101?
-1110010
In base 13, what is -3 - 88a?
-890
In base 6, what is 40331 - 5?
40322
In base 12, what is 4 + 417?
41b
In base 12, what is 5aa + -3?
5a7
In base 2, what is -11110 + -1100010011?
-1100110001
In base 11, what is -1 + -918?
-919
In base 4, what is 212 - 1323?
-1111
In base 6, what is -20121 - 2?
-20123
In base 8, what is 7430 + 7?
7437
In base 6, what is -3250 - 0?
-3250
In base 14, what is 36 + -22?
14
In base 8, what is 162 - 4?
156
In base 10, what is 12 + -107?
-95
In base 9, what is 1818 - 0?
1818
In base 11, what is -1 + 190?
18a
In base 2, what is 101 + -110?
-1
In base 2, what is 10100010 + -100?
10011110
In base 16, what is -8b16 + 2?
-8b14
In base 9, what is 32572 + -5?
32566
In base 12, what is 137 + -4?
133
In base 13, what is -888 + -4?
-88c
In base 6, what is -422 + -213?
-1035
In base 11, what is -1084 + -7?
-1090
In base 14, what is 4 - 179c?
-1798
In base 15, what is 47 + 5?
4c
In base 14, what is -2c9 - 2?
-2cb
In base 6, what is 404 + 3?
411
In base 4, what is -2 + 1020?
1012
In base 12, what is -2012 - -4?
-200a
In base 6, what is -121 - -215?
54
In base 11, what is -9881 + 5?
-9877
In base 15, what is 1c - 12?
a
In base 14, what is 8 + -12?
-8
In base 9, what is 5 - -472?
477
In base 3, what is 122 - -12012?
12211
In base 8, what is 15 - -2?
17
In base 4, what is 12 + 3031?
3103
In base 6, what is -1531 - -1?
-1530
In base 14, what is 2 - 65?
-63
In base 5, what is 1311 + -322?
434
In base 7, what is -115 - 0?
-115
In base 6, what is -44 + -40?
-124
In base 7, what is -615 + -4?
-622
In base 7, what is 1 + -5?
-4
In base 4, what is -101 + 121?
20
In base 5, what is 10041 - -114?
10210
In base 10, what is 10162 - -1?
10163
In base 15, what is -1 - -2?
1
In base 15, what is -63 - 6?
-69
In base 6, what is -2 + -2504?
-2510
In base 3, what is -2110 + 2122?
12
In base 3, what is 1222120 - 2?
1222111
In base 3, what is -211212 - -12?
-211200
In base 7, what is -53 - 1006?
-1062
In base 5, what is -143 + -1244?
-1442
In base 5, what is 13 - -11?
24
In base 16, what is 3 - -24?
27
In base 10, what is -4 - 135?
-139
In base 6, what is 110 - 12?
54
In base 4, what is -23 - -21?
-2
In base 5, what is 41 - -221?
312
In base 13, what is -1 + 218c?
218b
In base 14, what is -48 - 214?
-25c
In base 8, what is -4 - 5424?
-5430
In base 7, what is 0 - -226?
226
In base 11, what is 13 + 1a?
32
In base 2, what is 10100 + -10?
10010
In base 10, what is 420 - -51?
471
In base 14, what is -9 - -2?
-7
In base 12, what is 3 + -45?
-42
In base 3, what is -1102 + -21000?
-22102
In base 12, what is -3b + -3?
-42
In base 3, what is 0 + -11010?
-11010
In base 7,
|
{
"pile_set_name": "DM Mathematics"
}
|
ivided by 421.
2
Calculate the remainder when 14709 is divided by 2099.
16
What is the remainder when 276139 is divided by 817?
810
Calculate the remainder when 7142 is divided by 2288.
278
Calculate the remainder when 14122 is divided by 188.
22
Calculate the remainder when 8067 is divided by 130.
7
What is the remainder when 748798 is divided by 800?
798
What is the remainder when 5936 is divided by 6?
2
Calculate the remainder when 10686 is divided by 10675.
11
Calculate the remainder when 43740 is divided by 31.
30
What is the remainder when 1008 is divided by 462?
84
What is the remainder when 3526 is divided by 292?
22
Calculate the remainder when 45655 is divided by 787.
9
What is the remainder when 13019 is divided by 13012?
7
Calculate the remainder when 216122 is divided by 7718.
18
What is the remainder when 161335 is divided by 60?
55
Calculate the remainder when 5030 is divided by 17.
15
What is the remainder when 7841 is divided by 412?
13
What is the remainder when 7957 is divided by 33?
4
What is the remainder when 2841 is divided by 7?
6
What is the remainder when 270636 is divided by 17?
13
What is the remainder when 14433 is divided by 234?
159
Calculate the remainder when 1210 is divided by 118.
30
Calculate the remainder when 104498 is divided by 153.
152
Calculate the remainder when 148292 is divided by 106.
104
What is the remainder when 3374 is divided by 188?
178
What is the remainder when 2587 is divided by 86?
7
What is the remainder when 7018389 is divided by 1832?
1829
Calculate the remainder when 1192508 is divided by 48.
44
Calculate the remainder when 17850 is divided by 29.
15
Calculate the remainder when 83740 is divided by 69.
43
Calculate the remainder when 48140 is divided by 299.
1
Calculate the remainder when 6356 is divided by 99.
20
Calculate the remainder when 568722 is divided by 52.
50
What is the remainder when 4259 is divided by 552?
395
What is the remainder when 49033 is divided by 3?
1
What is the remainder when 102 is divided by 36?
30
What is the remainder when 6329 is divided by 2137?
2055
Calculate the remainder when 339858 is divided by 1666.
1660
Calculate the remainder when 276915 is divided by 39557.
16
What is the remainder when 554 is divided by 220?
114
Calculate the remainder when 8418 is divided by 2433.
1119
What is the remainder when 15299 is divided by 29?
16
What is the remainder when 265007 is divided by 2265?
2
Calculate the remainder when 1556504 is divided by 518826.
26
Calculate the remainder when 7295 is divided by 334.
281
Calculate the remainder when 59038 is divided by 43.
42
What is the remainder when 57590 is divided by 2?
0
Calculate the remainder when 73870 is divided by 3685.
170
What is the remainder when 3902 is divided by 193?
42
Calculate the remainder when 4324 is divided by 720.
4
What is the remainder when 2122 is divided by 388?
182
Calculate the remainder when 12240 is divided by 6066.
108
Calculate the remainder when 61026 is divided by 1649.
13
Calculate the remainder when 1413538 is divided by 20.
18
Calculate the remainder when 23290 is divided by 198.
124
Calculate the remainder when 13588 is divided by 19.
3
Calculate the remainder when 16485 is divided by 72.
69
What is the remainder when 131720 is divided by 275?
270
Calculate the remainder when 424675 is divided by 33.
31
Calculate the remainder when 3513 is divided by 2820.
693
Calculate the remainder when 35995 is divided by 632.
603
Calculate the remainder when 384144 is divided by 14.
12
Calculate the remainder when 230389 is divided by 24.
13
What is the remainder when 8451 is divided by 283?
244
What is the remainder when 400313 is divided by 58?
55
What is the remainder when 28886 is divided by 207?
113
Calculate the remainder when 5345 is divided by 335.
320
What is the remainder when 3953 is divided by 395?
3
What is the remainder when 838 is divided by 815?
23
What is the remainder when 127662 is divided by 793?
782
Calculate the remainder when 22364 is divided by 38.
20
What is the remainder when 713 is divided by 21?
20
What is the remainder when 251811 is divided by 649?
648
What is the remainder when 2114 is divided by 414?
44
What is the remainder when 27171 is divided by 461?
433
What is the remainder when 22342 is divided by 37?
31
What is the remainder when 309393 is divided by 37?
36
Calculate the remainder when 229375 is divided by 33.
25
Calculate the remainder when 4882 is divided by 244.
2
What is the remainder when 3876248 is divided by 13?
12
Calculate the remainder when 330623 is divided by 625.
623
Calculate the remainder when 52918 is divided by 3779.
12
Calculate the remainder when 29156 is divided by 173.
92
Calculate the remainder when 984134 is divided by 139.
14
Calculate the remainder when 667 is divided by 112.
107
Calculate the remainder when 330 is divided by 161.
8
What is the remainder when 13736 is divided by 305?
11
What is the remainder when 394238 is divided by 224?
222
Calculate the remainder when 1906757 is divided by 114.
107
Calculate the remainder when 24981 is divided by 33.
0
Calculate the remainder when 22529 is divided by 115.
104
What is the remainder when 1438764 is divided by 19?
8
Calculate the remainder when 1755 is divided by 389.
199
Calculate the remainder when 386973 is divided by 1.
0
Calculate the remainder when 2401 is divided by 478.
11
What is the remainder when 16561 is divided by 12?
1
Calculate the remainder when 7120 is divided by 137.
133
What is the remainder when 1261 is divided by 318?
307
Calculate the remainder when 25938 is divided by 551.
41
What is the remainder when 17892 is divided by 610?
202
Calculate the remainder when 576360 is divided by 82333.
29
Calculate the remainder when 19171 is divided by 30.
1
What is the remainder when 13618 is divided by 6768?
82
What is the remainder when 6098 is divided by 40?
18
What is the remainder when 10258 is divided by 905?
303
Calculate the remainder when 37330 is divided by 1244.
10
What is the remainder when 62225 is divided by 243?
17
Calculate the remainder when 96254 is divided by 127.
115
What is the remainder when 4300 is divided by 24?
4
Calculate the remainder when 5543 is divided by 113.
6
What is the remainder when 69448 is divided by 479?
472
What is the remainder when 266979 is divided by 107?
14
Calculate the remainder when 19187 is divided by 47.
11
Calculate the remainder when 816 is divided by 766.
50
Calculate the remainder when 20068 is divided by 36.
16
What is the remainder when 29278 is divided by 99?
73
Calculate the remainder when 52384 is divided by 3079.
41
Calculate the remainder when 596034 is divided by 663.
660
Calculate the remainder when 2001 is divided by 37.
3
What is the remainder when 2920 is divided by 86?
82
Calculate the remainder when 6329 is divided by 1543.
157
Calculate the remainder when 12002 is divided by 1.
0
What is the remainder when 186588 is divided by 205?
38
Calculate the remainder when 3346 is divided by 987.
385
What is the remainder when 854 is divided by 153?
89
Calculate the remainder when 5765 is divided by 284.
85
Calculate the remainder when 175011 is divided by 71.
67
Calculate the remainder when 93985 is divided by 49.
3
Calculate the remainder when 4396 is divided by 907.
768
What is the remainder when 16639 is divided by 8313?
13
What is the remainder when 3379 is divided by 657?
94
What is the remainder when 841 is divided by 383?
75
Calculate the remainder when 6888 is divided by 6837.
51
What is the remainder when 408 is divided by 245?
163
What is the remainder when 707 is divided by 355?
352
What is the remainder when 4956 is divided by 2415?
126
What is the remainder when 7225 is divided by 219?
217
What is the remainder when 1996 is divided by 644?
64
What is the remainder when 45962 is divided by 754?
722
What is the remainder when 8154 is divided by 384?
90
Calculate the remainder when 20894 is divided by 10438.
18
What is the remainder when 1258 is divided by 301?
54
Calculate the remainder when 16854 is divided by 402.
372
Calculate the remainder when 24161 is divided by 187.
38
What is the remainder when 5995 is divided by 98?
17
Calculate the remainder when 4261 is divided by 22.
15
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
y minutes are there between 10:06 AM and 7:39 PM?
573
How many minutes are there between 5:06 PM and 7:39 PM?
153
What is 324 minutes after 3:17 PM?
8:41 PM
How many minutes are there between 12:20 PM and 7:46 PM?
446
What is 710 minutes before 3:16 PM?
3:26 AM
How many minutes are there between 5:56 PM and 8:32 PM?
156
How many minutes are there between 3:16 PM and 11:53 PM?
517
What is 457 minutes after 9:12 AM?
4:49 PM
What is 576 minutes after 12:56 AM?
10:32 AM
What is 481 minutes after 5:51 AM?
1:52 PM
What is 127 minutes before 4:44 PM?
2:37 PM
How many minutes are there between 10:37 AM and 4:30 PM?
353
How many minutes are there between 6:44 AM and 9:01 AM?
137
What is 296 minutes before 4:29 PM?
11:33 AM
How many minutes are there between 11:18 PM and 5:18 AM?
360
How many minutes are there between 9:16 AM and 6:58 PM?
582
How many minutes are there between 1:00 PM and 5:30 PM?
270
How many minutes are there between 6:00 PM and 1:54 AM?
474
What is 167 minutes after 5:41 PM?
8:28 PM
How many minutes are there between 8:55 PM and 8:41 AM?
706
How many minutes are there between 8:11 AM and 7:11 PM?
660
What is 149 minutes before 10:49 PM?
8:20 PM
What is 466 minutes before 12:26 PM?
4:40 AM
How many minutes are there between 6:23 PM and 3:53 AM?
570
What is 310 minutes before 3:32 PM?
10:22 AM
What is 260 minutes after 5:51 PM?
10:11 PM
How many minutes are there between 11:56 AM and 11:25 PM?
689
How many minutes are there between 10:20 AM and 9:27 PM?
667
How many minutes are there between 9:27 AM and 4:13 PM?
406
What is 92 minutes before 4:31 PM?
2:59 PM
What is 428 minutes before 11:23 PM?
4:15 PM
How many minutes are there between 1:53 AM and 10:27 AM?
514
How many minutes are there between 5:41 AM and 7:23 AM?
102
How many minutes are there between 12:07 PM and 5:52 PM?
345
How many minutes are there between 11:11 AM and 10:59 PM?
708
How many minutes are there between 5:03 PM and 12:31 AM?
448
How many minutes are there between 3:18 PM and 5:08 PM?
110
What is 706 minutes before 10:02 AM?
10:16 PM
What is 699 minutes before 3:44 AM?
4:05 PM
How many minutes are there between 1:07 PM and 6:52 PM?
345
How many minutes are there between 5:24 AM and 11:19 AM?
355
How many minutes are there between 11:58 PM and 4:41 AM?
283
How many minutes are there between 2:55 AM and 7:21 AM?
266
What is 25 minutes before 8:26 AM?
8:01 AM
What is 373 minutes after 2:33 AM?
8:46 AM
What is 295 minutes before 5:41 PM?
12:46 PM
How many minutes are there between 4:06 PM and 11:15 PM?
429
How many minutes are there between 8:34 PM and 10:37 PM?
123
How many minutes are there between 2:59 PM and 3:08 PM?
9
What is 402 minutes before 4:22 AM?
9:40 PM
What is 41 minutes after 6:51 AM?
7:32 AM
What is 657 minutes after 10:17 AM?
9:14 PM
What is 705 minutes before 11:04 AM?
11:19 PM
What is 700 minutes before 10:51 AM?
11:11 PM
What is 176 minutes after 1:34 AM?
4:30 AM
How many minutes are there between 4:46 PM and 10:10 PM?
324
How many minutes are there between 7:36 AM and 8:36 AM?
60
How many minutes are there between 2:49 PM and 4:06 PM?
77
What is 238 minutes before 6:10 AM?
2:12 AM
What is 345 minutes after 1:04 AM?
6:49 AM
How many minutes are there between 5:32 PM and 7:54 PM?
142
What is 249 minutes after 9:51 PM?
2:00 AM
How many minutes are there between 12:51 PM and 5:54 PM?
303
What is 255 minutes after 5:03 AM?
9:18 AM
How many minutes are there between 8:46 AM and 12:01 PM?
195
How many minutes are there between 8:43 PM and 3:51 AM?
428
How many minutes are there between 12:54 PM and 10:36 PM?
582
How many minutes are there between 2:04 AM and 4:29 AM?
145
How many minutes are there between 5:50 PM and 4:13 AM?
623
What is 33 minutes before 9:20 AM?
8:47 AM
What is 166 minutes after 10:42 AM?
1:28 PM
What is 631 minutes after 2:46 PM?
1:17 AM
How many minutes are there between 4:41 PM and 12:49 AM?
488
What is 398 minutes after 10:31 PM?
5:09 AM
How many minutes are there between 10:03 AM and 5:53 PM?
470
How many minutes are there between 3:48 PM and 1:34 AM?
586
How many minutes are there between 1:57 PM and 2:11 PM?
14
What is 664 minutes after 4:47 PM?
3:51 AM
What is 481 minutes before 6:57 AM?
10:56 PM
What is 662 minutes after 5:15 PM?
4:17 AM
How many minutes are there between 10:21 PM and 5:07 AM?
406
How many minutes are there between 7:47 AM and 3:58 PM?
491
What is 59 minutes after 8:34 PM?
9:33 PM
What is 408 minutes after 1:55 PM?
8:43 PM
What is 416 minutes after 3:13 PM?
10:09 PM
How many minutes are there between 10:32 AM and 11:14 AM?
42
What is 317 minutes after 10:57 AM?
4:14 PM
How many minutes are there between 9:28 PM and 1:52 AM?
264
What is 327 minutes after 2:02 PM?
7:29 PM
How many minutes are there between 12:42 PM and 12:10 AM?
688
What is 620 minutes before 8:19 AM?
9:59 PM
How many minutes are there between 3:46 AM and 12:14 PM?
508
What is 303 minutes before 1:47 AM?
8:44 PM
What is 589 minutes after 10:01 AM?
7:50 PM
How many minutes are there between 4:56 AM and 9:26 AM?
270
What is 27 minutes before 2:45 PM?
2:18 PM
What is 706 minutes before 5:24 PM?
5:38 AM
How many minutes are there between 6:18 AM and 8:24 AM?
126
What is 217 minutes before 6:19 AM?
2:42 AM
How many minutes are there between 3:29 PM and 11:51 PM?
502
How many minutes are there between 1:33 AM and 10:10 AM?
517
What is 304 minutes before 8:45 PM?
3:41 PM
What is 117 minutes before 6:45 AM?
4:48 AM
What is 51 minutes after 9:50 PM?
10:41 PM
How many minutes are there between 5:08 PM and 6:45 PM?
97
What is 385 minutes before 4:24 AM?
9:59 PM
What is 211 minutes before 10:56 AM?
7:25 AM
How many minutes are there between 5:46 AM and 10:46 AM?
300
What is 90 minutes after 10:33 PM?
12:03 AM
What is 448 minutes before 12:52 PM?
5:24 AM
What is 456 minutes after 10:48 PM?
6:24 AM
How many minutes are there between 1:35 PM and 8:47 PM?
432
How many minutes are there between 6:37 PM and 3:01 AM?
504
What is 71 minutes before 3:41 PM?
2:30 PM
What is 110 minutes after 4:15 AM?
6:05 AM
What is 424 minutes before 10:28 AM?
3:24 AM
How many minutes are there between 12:39 AM and 9:04 AM?
505
How many minutes are there between 1:26 PM and 2:57 PM?
91
How many minutes are there between 3:54 AM and 9:21 AM?
327
What is 50 minutes before 3:26 AM?
2:36 AM
What is 612 minutes before 5:40 PM?
7:28 AM
How many minutes are there between 10:20 PM and 5:24 AM?
424
How many minutes are there between 5:51 AM and 10:25 AM?
274
How many minutes are there between 9:43 PM and 2:39 AM?
296
What is 394 minutes after 9:29 PM?
4:03 AM
What is 705 minutes after 7:59 AM?
7:44 PM
How many minutes are there between 12:22 PM and 3:37 PM?
195
How many minutes are there between 7:07 AM and 12:48 PM?
341
What is 185 minutes after 9:00 PM?
12:05 AM
How many minutes are there between 7:16 AM and 11:36 AM?
260
How many minutes are there between 10:47 AM and 6:11 PM?
444
What is 525 minutes before 8:30 AM?
11:45 PM
What is 446 minutes before 10:21 PM?
2:55 PM
How many minutes are there between 2:04 AM and 10:48 AM?
524
How many minutes are there between 2:58 PM and 11:21 PM?
503
What is 599 minutes after 2:26 PM?
12:25 AM
What is 457 minutes before 9:44 PM?
2:07 PM
What is 556 minutes before 7:11 PM?
9:55 AM
What is 583 minutes after 10:29 PM?
8:12 AM
How many minutes are there between 1:40 PM and 1:10 AM?
690
What is 355 minutes after 12:00 PM?
5:55 PM
What is 679 minutes after 2:15 AM?
1:34 PM
What is 618 minutes after 7:20 PM?
5:38 AM
What is 399 minutes after 11:56 AM?
6:35 PM
How many minutes are there between 1:36 AM and 5:00 AM?
204
What is 303 minutes after 11:14 PM?
4:17 AM
How many minutes are there between 10:43 AM and 3:35 PM?
292
What is 286 minutes before 12:20 AM?
7:34 PM
How many minutes are there between 12:56 PM and 2:34 PM?
98
What is 310 minutes after 4:51 AM?
10:01 AM
How many minutes are there between 10:39 AM and 5:35 PM?
416
How many minutes are there between 9:36 PM and 8:37 AM?
661
What is 710 minutes after 3:33 AM?
3:23 PM
What is 345 minutes before 6:33 AM?
12:48 AM
How many minutes are there between 12:57 AM and 9:24 AM?
507
What is 591 minutes before 3:57 PM?
6:06 AM
What is 708 minutes after 6:32 PM?
6:20 AM
What is 33 minutes after 4:26 AM?
4
|
{
"pile_set_name": "DM Mathematics"
}
|
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