0, 2, 7
Let a be -44*(-72)/160 - 2/(-10). Let v be 11/(-15) - a/(-24). Factor v*z**2 + 1/2*z + 2/5.
(z + 1)*(z + 4)/10
Let n be ((1617/49)/(-693))/((-2140)/2136 + 1). Let -44/7*h**3 + n*h**2 - 4/7 - 240/7*h**4 - 22/7*h = 0. What is h?
-1, -1/10, 1/4, 2/3
Let g(s) = s**3 - 13*s**2 - 235*s + 1667. Let f be g(6). Let t = -185/4 - -47. Let 0 - 1/4*u**f - u**2 + t*u**3 + 1/2*u**4 - u = 0. What is u?
-1, 0, 2
Let t(d) = 21*d**2 + 25*d + 108. Let o be t(-5). Suppose -511*k + o*k = -6. Factor -1/3*q**2 - 5/3*q - k.
-(q + 2)*(q + 3)/3
Let w = 40907 + -40907. Suppose -6/5*n + w + 1/5*n**2 = 0. What is n?
0, 6
Let y = -333 + 336. Factor -n**y + 5*n**3 + 53*n**2 - 77*n**2.
4*n**2*(n - 6)
Let 50217/7*o**2 - 972/7 + 4905/7*o**4 + 48294/7*o**3 + 132/7*o**5 + 5724/7*o = 0. Calculate o.
-18, -1, -1/4, 1/11
Let a = -264 - -264. Let l be (a/14)/(2 - 3). Factor -6/5*p**3 - 4/5*p**2 + l + 0*p + 0*p**4 + 2/5*p**5.
2*p**2*(p - 2)*(p + 1)**2/5
Factor -2376/5*q + 0 + 6/5*q**3 + 24/5*q**2.
6*q*(q - 18)*(q + 22)/5
Let x be -5 + (6/2)/(-3)*-46. Let f be 17/51 + x/12. Factor -f*v - 3/4*v**2 - 3.
-3*(v + 1)*(v + 4)/4
Suppose 5*y = 5*n + 105, y - 2*n + 105 - 125 = 0. Suppose 0 = -8*g + y + 10. Find p, given that -2/3*p**g + 0 + 5/3*p**3 + 2/3*p**2 - 5/3*p**5 + 0*p = 0.
-1, -2/5, 0, 1
Factor -1/9*v**4 + 0 + 8/3*v**3 + 30*v + 19*v**2.
-v*(v - 30)*(v + 3)**2/9
Suppose -x = 4*v + 2*x - 195, v = -3*x + 60. Suppose -v*u = -10*u. Factor 15/4*g**4 + u + 5/4*g**5 + 0*g + 5/4*g**2 + 15/4*g**3.
5*g**2*(g + 1)**3/4
Suppose 0 = -4017*n + 3976*n + 82. Factor 0 + 0*k + 8/9*k**n + 1/9*k**4 + k**3.
k**2*(k + 1)*(k + 8)/9
Let o(x) be the second derivative of x**6/30 + 34*x**5/5 - 275*x**4/12 + 23*x**3 + 39*x - 30. Factor o(d).
d*(d - 1)**2*(d + 138)
Let y(n) be the first derivative of n**8/336 + n**7/56 - n**5/6 + 4*n**3/3 + 5*n**2/2 - 21. Let m(a) be the third derivative of y(a). Factor m(c).
5*c*(c - 1)*(c + 2)**2
Let w = 81 + -66. Suppose w*y = 6*y + 36. Suppose -6*o**2 + 0*o**5 + 2*o**2 - 12*o**3 - 5*o**5 + o**5 - 12*o**y = 0. Calculate o.
-1, 0
Let z(m) be the third derivative of m**6/90 - m**5/3 + 7*m**4/2 - 18*m**3 + 779*m**2. What is i in z(i) = 0?
3, 9
Let f(u) = -u**2 - 33*u - 63. Let x(l) = 2*l**2 + 5*l + 3. Let n(q) = f(q) + x(q). Factor n(p).
(p - 30)*(p + 2)
Suppose 7*q - 5*q = 2. Let k = q - -2. Solve -48*r**3 - 18*r**4 + 3*r**5 + 48*r**k - 6*r**5 = 0.
-6, 0
Suppose -33*q + 36*q + 258 = 0. Let n = -84 - q. Factor -5*v**3 + 10*v**3 - v**2 - n*v**2 - 2*v**2.
5*v**2*(v - 1)
Let c(x) be the first derivative of -x**5/60 + 19*x**4/36 - 40*x**3/9 - 50*x**2/3 - 106*x + 69. Let k(j) be the first derivative of c(j). Factor k(g).
-(g - 10)**2*(g + 1)/3
Let q(a) be the second derivative of 12*a**3 + 0 + 162*a**2 + 1/3*a**4 + 4*a. Factor q(i).
4*(i + 9)**2
Let v = -525 - -523. Let a be (132/(-154))/(44/28 + v). Factor 2/3*h**a + 0*h - 2/3.
2*(h - 1)*(h + 1)/3
Let b(h) be the third derivative of h**7/3360 - h**6/96 + h**5/10 + 2*h**4/3 - 28*h**3/3 - 185*h**2. Let v(c) be the first derivative of b(c). Factor v(q).
(q - 8)**2*(q + 1)/4
Let l(d) be the first derivative of -7/4*d**4 - 61 + 26/3*d**3 - 13/2*d**2 - 6*d. Factor l(i).
-(i - 3)*(i - 1)*(7*i + 2)
Suppose 844*r = -202*r - 983*r. What is k in r - 14/15*k**3 - 2/15*k**4 - 4/5*k**2 + 0*k = 0?
-6, -1, 0
Let h(s) be the third derivative of -s**6/180 - 29*s**5/90 - 20*s**4/9 - 52*s**3/9 + 180*s**2 - 3. Factor h(o).
-2*(o + 1)*(o + 2)*(o + 26)/3
Let t(o) be the second derivative of -1 - 9/16*o**3 - 33/8*o**2 - 3/160*o**5 + 64*o + 3/8*o**4. Factor t(n).
-3*(n - 11)*(n - 2)*(n + 1)/8
Let x = -8999 - -9002. Let j(b) be the first derivative of x*b**3 + 3/2*b**2 + 9/4*b**4 + 1/3*b - 22. Factor j(h).
(3*h + 1)**3/3
Solve -192*w**2 - 4*w**3 - 106 - 4942*w + 4394*w - 254 = 0 for w.
-45, -2, -1
Let j(s) be the second derivative of -s**4/24 - 41*s**3/12 - 195*s**2/2 + 328*s. Find f such that j(f) = 0.
-26, -15
Let h be (-86)/(-8) - (4 + (-39)/12). Suppose -8 = -h*q + 6*q. Factor 2*a**3 + 2*a**5 + q*a**3 - 6*a**5.
-4*a**3*(a - 1)*(a + 1)
Let n be 1337 - (-3 - (-1 + -3)). Suppose -12*s = -8*s - n. Factor -18*k**2 - 14 - 4 + k**3 + s*k - 301*k + 2*k**3.
3*(k - 3)*(k - 2)*(k - 1)
Let h(o) = -o**4 + o**3 + o**2 - 1. Let l(z) = -z**4 + 7*z**3 + 9*z**2 + 3*z - 2. Let d = 86 - 84. Let n(i) = d*l(i) - 4*h(i). Suppose n(t) = 0. Calculate t.
-3, -1, 0
Let b = 20954 - 20948. Let v(g) be the third derivative of 8*g**2 - 1/20*g**5 + 0 + 0*g**4 + 1/40*g**b + 0*g**3 + 0*g. Factor v(i).
3*i**2*(i - 1)
Let -4/3*s + 118*s**2 + 0 = 0. What is s?
0, 2/177
Let j(v) be the third derivative of 2*v**7/105 - v**6/6 - v**5/15 + 5*v**4/6 - 283*v**2 + 1. Factor j(k).
4*k*(k - 5)*(k - 1)*(k + 1)
Let g(u) be the second derivative of -169/7*u**2 + 0 + 26/21*u**3 - 1/42*u**4 + 22*u. Let g(x) = 0. What is x?
13
Let w be (-2)/37 + (-3828)/8584 - (-87848)/80. Find d, given that -924/5*d**2 - 20*d**3 - w - 4/5*d**4 - 3724/5*d = 0.
-7, -4
Let g = 11693 + -128621/11. Factor -g*p**4 + 2/11*p**2 + 0 + 2/11*p**5 + 0*p - 2/11*p**3.
2*p**2*(p - 1)**2*(p + 1)/11
Let q(i) be the first derivative of 2*i**7/21 + 2*i**6/5 + i**5/5 - i**4 - 4*i**3/3 + 31*i - 78. Let j(z) be the first derivative of q(z). Factor j(w).
4*w*(w - 1)*(w + 1)**2*(w + 2)
Let x(g) be the second derivative of 3/20*g**5 + 5*g + 0 + 10125/2*g**2 + 45/4*g**4 + 675/2*g**3. Factor x(r).
3*(r + 15)**3
Let y(q) be the second derivative of 1/60*q**6 + 0*q**3 + 0*q**2 + 47*q - 1/80*q**5 + 1/168*q**7 - 1/24*q**4 - 1. Factor y(n).
n**2*(n - 1)*(n + 1)*(n + 2)/4
Suppose 4 = -q + 3*t - 2, 0 = -q + 4*t - 9. Factor 3*l**4 - 77*l**2 + 137*l**2 - 18*l**q - 81*l**2.
3*l**2*(l - 7)*(l + 1)
Suppose -262 = -16*b + 538. Suppose 2*i + 44 = b. Determine u so that 0*u + 2/7*u**i - 2/7*u**4 + 0 + 0*u**2 = 0.
0, 1
Suppose 15*r = 9*r + 60. Factor -5*l**2 + r*l + 39 - 78 + 54.
-5*(l - 3)*(l + 1)
Let q(j) be the second derivative of 32/3*j**3 - 5*j + 3/7*j**7 + 114/5*j**5 - 10 + 0*j**2 - 42/5*j**6 - 220/9*j**4. Find o such that q(o) = 0.
0, 2/3, 12
Let p(q) be the first derivative of -9/2*q**2 - 24*q + 39 - 4/3*q**4 - 4*q**3. Let i(c) be the first derivative of p(c). Find r, given that i(r) = 0.
-3/4
Let t(y) be the third derivative of -5*y**8/336 + 4*y**7/21 + 71*y**6/24 + 85*y**5/6 + 205*y**4/6 + 140*y**3/3 - 874*y**2 + y. Solve t(u) = 0 for u.
-2, -1, 14
Let y be 698/18 - 6/(-27). Let y*r - 23*r - 28*r + r**2 = 0. Calculate r.
0, 12
What is x in -2209*x + 0 + 47*x**2 - 1/4*x**3 = 0?
0, 94
Factor 40/3*h**4 + 0 - 7080*h**2 + 2876/15*h**3 + 187974/5*h + 2/15*h**5.
2*h*(h - 9)**2*(h + 59)**2/15
Let i(l) = 8*l + 123. Let j(y) = -y**3 + 14*y**2 + y - 29. Let r be j(14). Let v be i(r). Factor -4/7*d + 8/7*d**2 + 4/7*d**v - 8/7.
4*(d - 1)*(d + 1)*(d + 2)/7
Let w = -42398 - -213303/5. Let y = 265 - w. Determine a so that -9/5 - 3/5*a**2 + y*a = 0.
1, 3
Suppose 40*t - 9*t - 124 = 0. Suppose 14*j - 13*j = -3*h - 10, t*j = -2*h. Factor 6*n + 11/2*n**j + 9/4 + 1/4*n**4 + 2*n**3.
(n + 1)**2*(n + 3)**2/4
Let -18*s**3 - 36*s + 22*s**3 - 590 - 922 + 621*s**2 - 453*s**2 = 0. What is s?
-42, -3, 3
Let h(c) be the first derivative of c**3/7 + 5085*c**2/14 + 726*c - 6113. Let h(s) = 0. Calculate s.
-1694, -1
Let a be ((-12)/(-32))/((-2754)/(-18360)). Find y such that -a*y**3 + 65/2*y**2 - 55*y + 0 = 0.
0, 2, 11
Suppose -18 - 22*a + 31/2*a**2 = 0. Calculate a.
-18/31, 2
Suppose 2212*t - 602*t - 21656 = -1892*t - 7648. Factor -b**2 + 1/4*b**5 + 1/4*b - b**t + 3/2*b**3 + 0.
b*(b - 1)**4/4
Suppose 4*j = -2*s + 6 - 2, 0 = 4*s - 4*j - 20. Determine x, given that -1 + 4*x**3 + 10 - 16*x - 2 + 9 - s*x**2 = 0.
-2, 1, 2
Suppose -18*l - 17 + 35 = 0. Suppose -l = 2*j + 2*s - 11, 0 = -2*j - s + 7. Factor -9/8*w**3 - 3/8*w**4 + 9/8*w + 3/8*w**j + 0.
-3*w*(w - 1)*(w + 1)*(w + 3)/8
Let j = 6292 + -18820/3. Let y be (19 + -14)*8/10. Factor -j*x - 2/3*x**y - 8*x**3 - 20*x**2 - 6.
-2*(x + 1)**3*(x + 9)/3
Let y = -1558 + 1486. Let q be (-2)/(-9) + (-2)/y. Find u such that 0 + 0*u + 7/4*u**4 - q*u**5 + 3*u**2 - 4*u**3 = 0.
0, 2, 3
Let m(v) = 8*v + 215. Let q be m(-25). Suppose 6*c**4 - q*c**3 - 24*c**5 - 28*c**5 - 26*c**4 + 47*c**5 = 0. What is c?
-3, -1, 0
Let q be 34/20 - (((-6426)/20)/21 + 15). Find s such that -4/17*s**q - 14/17*s + 8/17 = 0.
-4, 1/2
Let j(p) be the first derivative of