/4*p**3 - 9/4*p**4 + 90*p = 0.
-12, -2/3, 0, 5
Let d(h) be the first derivative of 2*h**5/5 - 205*h**4/4 + 1896*h**3 - 22001*h**2/2 + 9604*h - 527. Factor d(z).
(z - 49)**2*(z - 4)*(2*z - 1)
Let k = -295 - -310. Determine i so that 75*i - k*i**2 - 130*i + 10*i**2 - 90 = 0.
-9, -2
Factor 1035/4 + 1077/4*n + 21/2*n**2.
3*(n + 1)*(14*n + 345)/4
Let g(m) be the third derivative of 80645*m**5/72 - 635*m**4/72 + m**3/36 - 7155*m**2. Factor g(j).
(635*j - 1)**2/6
Suppose n = z + 1, -5*n + 7*n - 5*z + 1 = 0. Factor -6*o**n + 9*o + 7*o**2 + 9*o + 2*o**2 + 27.
3*(o + 3)**2
Determine f, given that -210383 - 65*f**4 - 5*f**5 + 165*f**2 + 210383 - 95*f**3 = 0.
-11, -3, 0, 1
Let h = -24198 + 24198. Let b(l) be the first derivative of 11/28*l**4 - 36 + 25/14*l**2 + h*l + 5/3*l**3 + 1/35*l**5. Factor b(q).
q*(q + 1)*(q + 5)**2/7
Let g(x) be the first derivative of -76 + 1/15*x**3 + 7/10*x**2 - 8/5*x. Find z, given that g(z) = 0.
-8, 1
Suppose -8 - 638390*q**5 - 9965*q**2 + 16560*q**4 - 7376*q**3 - 724*q - 4791*q**2 + 646490*q**5 - 1796*q**2 = 0. Calculate q.
-2, -1, -1/45, 1
Find h such that 30*h**2 + 26005*h - 77998*h + 26024*h + 2*h**3 + 48 + 26045*h = 0.
-12, -2, -1
Factor i**2 + 62 - 125*i + 58 + 130*i**2 - 121*i**2 - 5*i**2.
5*(i - 24)*(i - 1)
Factor 3*i**5 + 2*i**5 + 140*i + 633*i**3 + 300*i**2 + 66*i**4 - 6*i**4 - 418*i**3.
5*i*(i + 1)*(i + 2)**2*(i + 7)
Find k such that -200 - 260*k + 210*k**5 - 435*k**3 + 2510*k**4 - 11*k**2 + 1361*k**2 - 2835*k**4 - 340*k**3 = 0.
-2, -2/7, 5/6, 1, 2
Let s = 286 + -264. Suppose 0 = 17*h - 6*h - s. Factor 2/5*t + 0 + 2/5*t**h.
2*t*(t + 1)/5
Let o(j) = -3*j**2 + 18*j - 16. Let t be o(-11). Let g = t - -4042/7. Factor 0 + 0*l**2 + 0*l**4 - g*l**5 + 6/7*l**3 - 3/7*l.
-3*l*(l - 1)**2*(l + 1)**2/7
Let f = -38535/4 - -9634. Let g(k) be the second derivative of -40*k**2 + 12*k + 0 - f*k**5 - 20/3*k**3 + 35/12*k**4. Factor g(d).
-5*(d - 4)**2*(d + 1)
Let m(n) be the third derivative of n**9/8694 - 13*n**8/19320 + n**7/690 - n**6/828 + 13*n**3/3 - 8*n**2. Let i(f) be the first derivative of m(f). Factor i(u).
2*u**2*(u - 1)**2*(4*u - 5)/23
Let l be (17 + -17)*1/(-1) - 120/(-90). Solve l - 22/3*v - 8/3*v**3 + 26/3*v**2 = 0.
1/4, 1, 2
Let q be -3 - 70/28*-2. Let p(i) be the second derivative of -3/4*i**5 + 0 - 2*i**3 + 0*i**2 + 1/10*i**6 + q*i**4 - 19*i. Let p(d) = 0. What is d?
0, 1, 2
Let t be -5 + (-26 - -32) + (-2 - -1). Let x(c) be the second derivative of 0*c**3 - 1/6*c**2 + 1/36*c**4 + t - 13*c. Factor x(o).
(o - 1)*(o + 1)/3
Factor 20/13*n**2 + 54/13*n + 2/13*n**3 + 36/13.
2*(n + 1)*(n + 3)*(n + 6)/13
Let t be (-2 - -1)/((-2705)/24345) + 272/18 + -1. Determine w, given that -t*w - 112/9*w**2 - 4/9*w**3 + 0 = 0.
-26, -2, 0
Let b(m) = -9*m**5 + 243*m**4 - 2570*m**3 - 11662*m**2 + 18196*m + 27038. Let f(o) = -2*o**5 - o**4 - o**2 - 2*o - 1. Let y(g) = -b(g) + 2*f(g). Solve y(a) = 0.
-4, -1, 2, 26
Let c(b) be the second derivative of 5/4*b**4 - 1/4*b**5 + 0*b**2 + 3 + 3*b - 5/3*b**3. Factor c(j).
-5*j*(j - 2)*(j - 1)
Let d(f) be the third derivative of 11*f**6/300 - 17*f**5/25 + 13*f**4/4 + 40*f**3/3 - 4430*f**2. Suppose d(p) = 0. Calculate p.
-8/11, 5
Let s be (-16)/64 - 257/20*39. Let f = s + 502. Let 3/5*y**3 + 0*y + 0 + f*y**2 = 0. Calculate y.
-1, 0
Let n(s) = -90*s**2 - 10775*s - 10760. Let t(k) = 127*k**2 + 16163*k + 16141. Let y(d) = 7*n(d) + 5*t(d). Let y(p) = 0. Calculate p.
-1077, -1
Let w(g) be the second derivative of 1925/8*g**3 + 151/48*g**4 - 19 + 5625/8*g**2 - g + 1/80*g**5. Factor w(p).
(p + 1)*(p + 75)**2/4
Let j(h) be the first derivative of 16 + 0*h**3 - 1/54*h**5 - 10*h**2 - 7/540*h**6 + 0*h + 1/54*h**4. Let o(u) be the second derivative of j(u). Factor o(b).
-2*b*(b + 1)*(7*b - 2)/9
Determine l, given that -104/3*l**3 - 1/3*l**5 + 48 + 280/3*l**2 - 112*l + 17/3*l**4 = 0.
1, 2, 6
Let r = 29543/828 - 820/23. Let c(l) be the second derivative of 0 - 1/2*l**2 + r*l**4 + 23*l - 1/9*l**3. Factor c(y).
(y - 3)*(y + 1)/3
Let z be -100 + 49 - (1 + -54). Factor -140/9*w + 10/9*w**3 - 196/9 + 1/3*w**z - 1/9*w**4.
-(w - 7)**2*(w + 2)**2/9
Let h(w) = -9*w**2 + 15*w - 4. Suppose 2*t - 5*k - 18 = -4*k, -k + 15 = t. Let s(y) = -26*y**2 + 45*y - 11. Let u(z) = t*h(z) - 4*s(z). Solve u(r) = 0.
0, 3
Suppose -42*t + 4*f = -57*t + 36, 32 = 5*t - 2*f. Find o such that 2/3*o**5 + 2/3*o - 8/3*o**4 - 8/3*o**2 + t*o**3 + 0 = 0.
0, 1
Suppose -18 = -29*d + 20*d. Factor -24*q - 167*q - 4*q - 114 - 5*q**3 - 115*q**2 + 24 + d*q**4 + 3*q**4.
5*(q - 6)*(q + 1)**2*(q + 3)
Let k(h) be the first derivative of 86*h**3/57 - 773*h**2/19 - 36*h/19 + 10989. Factor k(m).
2*(m - 18)*(43*m + 1)/19
Factor 165/2 - 329/4*t - 1/4*t**2.
-(t - 1)*(t + 330)/4
Solve -1672*w - 90 - 1346 - 23*w**2 + 19*w**2 - 232 = 0.
-417, -1
Let n = -8290 + 33199/4. Find k, given that 9/4*k - 29/4*k**3 + 5/4*k**4 + n*k**2 + 0 = 0.
-1/5, 0, 3
Let g(z) be the second derivative of 8/5*z**2 + 1/105*z**7 - 134*z - 26/15*z**3 + 0 + 29/30*z**4 - 1/75*z**6 - 11/50*z**5. Factor g(h).
2*(h - 2)*(h - 1)**3*(h + 4)/5
Let m be -1*(-14 - (-1 - 0)). Let q be 2 + 1/(-1) + 1. Suppose 13*d + 12*d**q + m*d - 9 + 7*d = 0. Calculate d.
-3, 1/4
Suppose 2*o + 2*i + 332 = 0, 4*i - 5 = o + 186. Let q = -83 - o. Find n such that -n**3 + 0*n**3 + 86*n**2 + n - q*n**2 + 2 = 0.
-2, -1, 1
Let u(t) = t**3 - 8*t**2 + 11*t - 10. Let y be u(7). Let p = 29 - 15. Factor -p*j + y*j**2 + 27*j + 2*j**4 - 12*j**3 + 0*j**3 - 21*j.
2*j*(j - 4)*(j - 1)**2
Let d(z) be the first derivative of -12*z**2 + 26/3*z**3 - 170 - 3*z**4 + 2/5*z**5 + 8*z. Factor d(a).
2*(a - 2)**2*(a - 1)**2
Let u = 119003 - 119000. Factor -6/7*h**2 - 12/7 - u*h + 3/7*h**3.
3*(h - 4)*(h + 1)**2/7
Let s be (56/32)/7 + 66/24. Let h(i) be the first derivative of 4/3*i**s - 21 + 0*i**4 - 8/3*i**2 + 2*i - 2/15*i**5. Find a, given that h(a) = 0.
-3, 1
Suppose -2/5*l**2 + 4112/5 + 498/5*l = 0. What is l?
-8, 257
Find o, given that -o**4 + 284015*o - 60 - 284070*o + 55*o**3 - 4*o**4 + 65*o**2 = 0.
-1, 1, 12
Suppose 86 = 2*u + 4*m, -155 = -9*u + 4*u + 2*m. Suppose 0 = -32*d + u*d - 28. Factor -16 + 13*p**2 + 32*p + 8*p**4 - 15*p**2 + 2*p**2 - d*p**3 + 12*p**2.
4*(p - 2)**2*(p + 1)*(2*p - 1)
Let i(j) be the second derivative of -j**7/13860 + 7*j**6/3960 + 7*j**4/12 - 2*j**3/3 - j - 9. Let x(g) be the third derivative of i(g). Factor x(h).
-2*h*(h - 7)/11
Let o(w) = -310*w - 4340. Let r be o(-14). Let l be (-3)/(2*(-15)/4). Factor -l*f**2 + r*f - 2/5*f**5 - 6/5*f**4 - 6/5*f**3 + 0.
-2*f**2*(f + 1)**3/5
Let x(w) = 2*w**2 - 16*w - 114. Let j be x(-5). Let p be 4*(-10)/j*12/(-75). What is v in -v**4 - 17/5*v**3 + 7/5*v + 3/5*v**2 - p + 6/5*v**5 = 0?
-1, 1/3, 1/2, 2
Suppose 2*k + k - 6 = 0. Suppose -35 = -k*f - 27. Factor -4*b**2 + 95*b**4 + 4*b + 4*b**3 - 91*b**f - 8*b**3.
4*b*(b - 1)**2*(b + 1)
Find l, given that -37*l**2 + 21*l**3 - 76*l**3 + 20*l**3 - 143*l**2 + 38*l**3 = 0.
0, 60
Let c(l) be the second derivative of -5*l**7/7 + 7*l**6/6 + 53*l**5/6 - 95*l**4/36 - 5*l**3/3 + 180*l - 3. Let c(n) = 0. Calculate n.
-2, -1/6, 0, 1/3, 3
Let z = -2894 - -14473/5. Let t(j) be the second derivative of 2*j**2 - 5/3*j**4 + 0 + 8/15*j**6 + 2*j**3 - z*j**5 - 12*j. Let t(h) = 0. Calculate h.
-1, -1/4, 1
Let q be (-24 + 3717/147)/(((-25)/(-10) + -1)*2). Find n, given that -3/7*n**2 + 0 - q*n**3 + 0*n = 0.
-1, 0
Let d be 17 - (-37 - -50) - (-6)/(-3). What is p in 0 - 1/3*p**4 + 0*p**d + 1/3*p**3 + 0*p = 0?
0, 1
Factor 109610*k**2 - 3855*k**4 - 5994*k**4 + 730*k - 844685*k**2 + 6136*k - 147555*k**3 + 13384*k - 219*k**5.
-3*k*(k + 15)**3*(73*k - 2)
Let -308*q - 920/3 - 78*q**2 - 1/3*q**3 = 0. Calculate q.
-230, -2
Factor -9*u**3 - 5 - 612*u + 19*u**3 + 5 + 216*u**2 - 14*u**3.
-4*u*(u - 51)*(u - 3)
Let x(m) = -17*m**4 + 443*m**3 - 434*m**2 - 8*m. Let z(i) = 6*i**4 - 147*i**3 + 144*i**2 + 3*i. Let u(f) = -3*x(f) - 8*z(f). Factor u(y).
3*y**2*(y - 50)*(y - 1)
Let i(s) be the first derivative of -s**4 + 664*s**3/3 - 13440*s**2 - 56448*s + 10713. Let i(b) = 0. What is b?
-2, 84
Suppose -r + 2*f + 8 = -2*f, -r + 2*f + 10 = 0. Suppose -r = 2*d - 30. Find y such that d*y**2 + 32 - 7*y**2 + 15*y + y = 0.
-4
Suppose 9*v = 2*v - 0*v. Let f(u) = -u**2 + 2. Let d be f(v). Factor 2*s**2 + s**4 - 2*s**3 - 10*s**d + 4*s + 7*s**3 - 2*s**4.
-s*(s - 2)**2*(s - 1)
Let a(i) = i**3 + 