f**3 + 38*f - f + 400.
-4*(f - 4)*(f + 5)**2
Suppose 63*n - 1498 = -188*n - 498*n. Factor -1/2*q**n + q - q**3 + 0 + 1/2*q**4.
q*(q - 2)*(q - 1)*(q + 1)/2
Let v(k) = k + 12. Suppose 2*x = -8, 2*q + 0 = 4*x - 4. Let o be v(q). Let -7*u**2 + 0*u**o + 3*u - 2*u**2 + 10*u**2 = 0. Calculate u.
-3, 0
Let x(a) = 18*a**2 + 100*a + 804. Let n(p) = -14*p**2 - 100*p - 803. Let r(k) = -4*n(k) - 3*x(k). Find b, given that r(b) = 0.
-40, -10
Let o(i) = -i**3 + 9*i**2 - 18*i + 31. Let u be o(7). Suppose -2*a + 1 = -9. Factor 36*g**u + 18*g**2 + 3*g + 28*g**4 + 9*g**a + 30*g**4 - 28*g**4.
3*g*(g + 1)**3*(3*g + 1)
Let m be 49/(-2)*228/(-171). Let z(d) be the second derivative of 0 + 28/9*d**3 - 16*d + m*d**2 + 1/9*d**4. Factor z(f).
4*(f + 7)**2/3
Let q(b) be the third derivative of -1/300*b**5 + 0 - 7/15*b**4 + 8*b**2 + 9*b - 392/15*b**3. Find s such that q(s) = 0.
-28
Let y(o) be the third derivative of o**5/480 - 11*o**4/48 + 153*o**3/16 - 11*o**2 + 28*o. Factor y(a).
(a - 27)*(a - 17)/8
Let u = 253329/2 - 126664. Factor 0 + 6*z - u*z**2.
-z*(z - 12)/2
Let r(y) be the first derivative of -1/10*y**4 + 1/5*y**2 + 0*y + 107 + 0*y**3. Factor r(h).
-2*h*(h - 1)*(h + 1)/5
Let g(f) be the first derivative of 3*f**4/2 + 46*f**3/3 + 40*f**2 - 32*f + 469. Factor g(l).
2*(l + 4)**2*(3*l - 1)
Let 60 - 64/9*y**5 + 12956/9*y**3 + 2848/3*y**4 - 3244/9*y + 188/3*y**2 = 0. What is y?
-1, 1/4, 135
Factor -107*m**2 + 24*m**3 + 1364*m**4 - 1366*m**4 - 44*m + 89*m**2.
-2*m*(m - 11)*(m - 2)*(m + 1)
Let k = -11724 - -11727. Let g(b) be the second derivative of -5/12*b**4 - 23/24*b**k + 0 + 16*b - 3/4*b**2. Factor g(y).
-(4*y + 3)*(5*y + 2)/4
Suppose 3*u**2 + 1085*u + 49625 - 134*u - 52505 = 0. Calculate u.
-320, 3
Suppose 0 = -6*j + 20 + 52. Let f be (2/4)/(2/j). Factor 121*c**2 - 127*c**2 + c**f + 9*c + 0 + 0.
c*(c - 3)**2
Factor m**2 + 392*m + 9653 + 7947 - 16048.
(m + 4)*(m + 388)
Let h = -25838/77 - -3732/11. Let j(k) be the first derivative of -9/7*k**4 + 32/7*k**3 + 5 + 8/7*k - h*k**2. Find n such that j(n) = 0.
1/3, 2
Let u(z) be the second derivative of 2*z**6/75 + 6*z**5/25 + 37*z**4/60 + 7*z**3/10 + 2*z**2/5 - 75*z - 1. What is m in u(m) = 0?
-4, -1, -1/2
Suppose 0 = -5*d - 5, 2*d + 73 = 5*f - d. Suppose 6*k = -8 + f. What is l in k - 1 - l**3 - 28*l**2 + 29*l**2 + 2*l = 0?
-1, 0, 2
Suppose 18 = -33*j + 42*j. Suppose -402*u**2 - 295 + 127*u**j + 5*u**3 - 565*u + 10 = 0. What is u?
-1, 57
Factor 2*c - 21283*c**2 + 3*c + 16 + 21280*c**2 + 3*c.
-(c - 4)*(3*c + 4)
Let k(f) = -2 + 6*f - 2 - 16. Let m be k(4). Factor 512 + m*w**3 + 128*w + 0*w**3 - 23*w**2 - 33*w**2.
4*(w - 8)**2*(w + 2)
Let w = -6 + 11. Let s be (2106/(-52) + 40)*0. Let 3/5*l**w + 9*l**3 + 21/5*l**4 + 0 + 27/5*l**2 + s*l = 0. Calculate l.
-3, -1, 0
What is w in -216*w - 17 + 2*w**4 + 24*w**2 + 54*w**3 - 110*w**2 + 134 + 22*w**2 + 107 = 0?
-28, -2, 1, 2
Let u = -27917755/153 - -182468. Let q = -13/17 - u. Let 0*s - q*s**3 + 0 + 4/9*s**4 - 2/9*s**5 + 0*s**2 = 0. What is s?
0, 1
Suppose 10*k = l + 13*k + 534, 0 = -3*l + 4*k - 1628. Let d = 3241/6 + l. Factor -1/2*p**2 + 0 + d*p**3 + 1/3*p.
p*(p - 2)*(p - 1)/6
Let v(u) = -u + 1. Let h(x) = x**2 + 3*x - 4. Let q(t) = 2*t**3 + 3*t**2 - t + 3. Let i = 11 - 13. Let k be q(i). Let b(g) = k*h(g) + 4*v(g). Factor b(a).
a*(a - 1)
Let q(b) = 2*b**2 + 5*b + 4. Let v be q(-2). What is k in -1009*k + 5*k**v + 869*k + 430 + 550 = 0?
14
Let j(l) be the first derivative of l**5/90 + 34*l**4/9 + 4624*l**3/9 + 314432*l**2/9 + 177*l + 86. Let y(b) be the first derivative of j(b). Factor y(k).
2*(k + 68)**3/9
Suppose -81 - 9 = 9*p. Let y be 1 + (-1)/((-10)/p). Find t such that 0 + 2/9*t**4 + 4/9*t**2 + y*t + 2/3*t**3 = 0.
-2, -1, 0
Let v(n) be the second derivative of n**4/12 + 607*n**3/18 + 101*n**2/3 + 10*n + 51. Factor v(y).
(y + 202)*(3*y + 1)/3
Let f(t) be the third derivative of t**7/490 - 17*t**6/140 + 149*t**5/140 - 29*t**4/14 + 2*t**2 - 142*t - 1. Determine v so that f(v) = 0.
0, 1, 4, 29
Factor -3/2*b**3 + 0 - 2*b - 15/4*b**2 + 1/4*b**4.
b*(b - 8)*(b + 1)**2/4
Let x(q) be the second derivative of -q**4/12 + 161*q**3/6 + 81*q**2 - 2048*q. Solve x(y) = 0 for y.
-1, 162
Suppose -395 = 37*w - 116*w. Let l(y) be the third derivative of 0*y + 0 + 6*y**2 - 1/40*y**w + 0*y**3 + 1/16*y**4. Factor l(v).
-3*v*(v - 1)/2
Suppose 438 = c - 5*q, -3*q - 1144 + 275 = -2*c. Let v = 3051/7 - c. Factor -v*r**2 - 2/7 + 13/7*r.
-(4*r - 1)*(5*r - 2)/7
Suppose t + 2 = -m, -2*t - 5*m = 13 + 6. Solve 25*u**t + 32*u**3 - 13*u**3 + 138*u**2 - 17*u + u - 58*u**2 = 0.
-2, 0, 2/11
Determine j so that 2*j**2 + 88 + 71 - 40*j - 10 - 29 - 18 = 0.
3, 17
Let c = -28513 - -28516. Determine d, given that 26/9*d - 10/9*d**4 - 28/9*d**c + 14/9 + 2/9*d**5 - 4/9*d**2 = 0.
-1, 1, 7
Factor 0 + 1/7*b**4 - 4/7*b + 1/7*b**3 - 4/7*b**2.
b*(b - 2)*(b + 1)*(b + 2)/7
Let r = 781 - 753. Let h be ((-40)/r)/5*42/(-24). Determine w, given that h*w**2 - 1/10*w**3 + 0 - 2/5*w = 0.
0, 1, 4
Suppose 0 = -27*b + 46 + 359. Factor 27*m**2 + b*m**4 - 102*m**2 - 143 + 120*m - 15*m**3 + 95 + 3*m**5.
3*(m - 1)**3*(m + 4)**2
Factor -1309*n**4 - 12*n**3 + 61*n**2 + 2*n**3 - 2*n**3 - 180*n + 1313*n**4 - 257*n**2.
4*n*(n - 9)*(n + 1)*(n + 5)
Let y(b) be the third derivative of 95*b**7/84 + 63*b**6/8 + 467*b**5/24 + 75*b**4/4 - 5*b**3/3 - b**2 + 554. Determine u so that y(u) = 0.
-2, -1, 2/95
Determine s so that 2/7*s**2 + 683774 + 884*s = 0.
-1547
What is x in 326*x**4 + 396*x - 2*x**5 - 243*x**4 + 224 - 113*x**4 + 94*x**2 - 106*x**3 = 0?
-8, -7, -1, 2
Let h(w) be the second derivative of -w**6/135 - w**5/9 - 37*w**4/54 - 20*w**3/9 - 4*w**2 + 82*w. Determine j, given that h(j) = 0.
-3, -2
Let m be (-5)/(-6) + 344/48. What is p in m*p + 6 - 10*p - 2*p + 0*p - 2*p**2 = 0?
-3, 1
Let d(r) be the third derivative of r**7/210 - 9*r**6/20 + 223*r**5/20 + 217*r**4/3 - 392*r**3 - 3*r**2 - 9*r - 65. Factor d(s).
(s - 28)**2*(s - 1)*(s + 3)
Suppose 87 + 29 = 29*p. Solve -8 + 5 - 64*m**2 + 28*m + 0 - 1 + p*m = 0.
1/4
Let n(r) = r**2 + r + 1. Let i(o) be the third derivative of -o**5/3 - 4*o**3 + 81*o**2. Suppose 0 = -c - 2*c + 3. Let y(d) = c*i(d) + 24*n(d). Factor y(a).
4*a*(a + 6)
Let b(a) be the third derivative of a**7/735 - 2*a**6/7 + 2216*a**5/105 - 4160*a**4/7 + 173056*a**3/21 - 1563*a**2 - 2*a. Factor b(c).
2*(c - 52)**2*(c - 8)**2/7
Let b = 129979/5 + -25995. Let 0 + b*n**2 - 4/5*n**4 - 32/5*n**3 + 32/5*n = 0. Calculate n.
-8, -1, 0, 1
Let o(k) = -k**3 - 27*k**2 + 5367*k + 63. Let q be o(61). Factor -39/7*p + 3/7*p**q + 0.
3*p*(p - 13)/7
Let c(r) be the first derivative of 4*r**2 - 14/3*r**3 - 130 + 2/5*r**5 + r**4 + 0*r. Let c(g) = 0. Calculate g.
-4, 0, 1
Let j(r) be the third derivative of -r**6/30 + 7*r**5/15 - 509*r**2. Factor j(n).
-4*n**2*(n - 7)
Suppose -5*q - 4*m = -37, q - 2 = 5*m - 4*m. Suppose -q*o = -73 + 53. Find j such that 0*j**2 + 8/15*j - 2/15*j**o + 0 - 2/5*j**3 = 0.
-2, 0, 1
Let b(a) = -a**2 - 8*a + 1. Let y(p) = -8*p**2 - 94*p + 30. Let r(q) = 20*b(q) - 2*y(q). Determine x so that r(x) = 0.
2, 5
Factor -814*q**3 + 221764*q**2 - 143*q**3 + 5*q**4 - 3*q**4 - 176*q**3 - 205*q**3 + 674688*q + 451584.
2*(q - 336)**2*(q + 1)*(q + 2)
Let r = -14615/9 + 1624. Find h such that -r*h**4 + 0 + 0*h + 0*h**3 + 1/9*h**2 = 0.
-1, 0, 1
Let a(l) be the first derivative of 2/15*l**3 + 6/5*l**2 + 0*l - 1/10*l**4 - 11. Let a(w) = 0. Calculate w.
-2, 0, 3
Let u(p) = p**3 + 948*p**2 - 44160*p - 92170. Let i(f) = -7*f**3 - 3791*f**2 + 176640*f + 368685. Let l(o) = 2*i(o) + 9*u(o). Find g, given that l(g) = 0.
-2, 96
Let u(o) be the third derivative of -45/8*o**4 - 27*o**2 + 5/336*o**8 - 11/12*o**6 + 1/14*o**7 + 35/6*o**3 + 0*o + 19/6*o**5 + 0. Factor u(v).
5*(v - 1)**4*(v + 7)
Let q be 3/(-3 - 70/(-21)). Suppose 9*j + 0 + 4*j**2 - 7 + q*j - 3 = 0. What is j?
-5, 1/2
Let l(i) be the first derivative of -1/14*i**4 - 12/7*i - 54 + i**2 + 0*i**3. Factor l(r).
-2*(r - 2)*(r - 1)*(r + 3)/7
Let -21*k**3 - 20 - 1/3*k**5 - 13/3*k**4 - 152/3*k - 143/3*k**2 = 0. What is k?
-5, -3, -2, -1
Suppose 16 = 4*j - 4. Let -2 - 49*x + 4*x - 20*x**2 - 13 + j = 0. What is x?
-2, -1/4
Let t(i) = -2*i**3 - 92*i**2 - 326*i - 306. Let s be 6/(-15) - 69/15 - -7. Let d(b) = -3*b**3 - 184*b**2 - 655*b - 613. Let z(w) = s*d(w) - 5*t(w). Factor z(v).
4*(v + 2)**2*(v + 19)
