2*(v - 1)**2*(v + 1)/9
Let r = -7672765/51 - -150453. Let j = r - 90/17. Factor -8/3*f**4 + 0*f**3 + 4/3*f**5 + 0 - j*f + 8/3*f**2.
4*f*(f - 1)**3*(f + 1)/3
Factor 256/7*t + 48/7*t**2 - 1024/7 - 16/7*t**3 + 1/7*t**4.
(t - 8)**2*(t - 4)*(t + 4)/7
Let d(w) be the second derivative of -w**7/2100 + w**5/300 - 2*w**3/3 + 14*w**2 + 153*w. Let s(h) be the second derivative of d(h). Factor s(q).
-2*q*(q - 1)*(q + 1)/5
Factor -1/2*d**2 - 193*d - 37249/2.
-(d + 193)**2/2
Let u(c) be the third derivative of -c**6/90 + c**5/5 - c**4 + 2956*c**2. Solve u(k) = 0.
0, 3, 6
Let n = 13/7337 + 506227/14674. Solve -75 + n*c + 3/2*c**2 = 0 for c.
-25, 2
Suppose 5*i - 8 - 2 = 0. Suppose -z + 7*b = 2*b - 4, b + 4 = z. Factor r**i - r**2 + 12 + 0*r**2 - z*r**2 - 8*r.
-4*(r - 1)*(r + 3)
Find l such that 2/3*l**2 - 1076/3*l - 720 = 0.
-2, 540
Let x(w) be the second derivative of 3*w**6/10 + 111*w**5/20 + 149*w**4/6 + 130*w**3/3 + 36*w**2 - 3*w + 94. Find d such that x(d) = 0.
-9, -2, -2/3
Find z, given that 9/2*z**2 - 81/2*z + 27 + 2*z**3 = 0.
-6, 3/4, 3
Solve 512/11*p + 2/11*p**3 + 309/11 - 211/11*p**2 = 0.
-1/2, 3, 103
Let z be (-46)/(-6) - 10/15. Solve -z*h**3 + 145*h**3 + 243*h - 11 + 92 + 158*h**2 + 3*h**5 + 33*h**4 + 112*h**2 = 0 for h.
-3, -1
Let m = -850997 + 851001. Factor 2/15*a**m + 0 - 4/15*a**3 - 2/15*a**2 + 4/15*a.
2*a*(a - 2)*(a - 1)*(a + 1)/15
Let p(c) = -c**3 + c**2 + c - 1. Let m = -378 - -358. Let h(s) = -15*s**3 + 30*s**2 + 5*s - 20. Let u(w) = m*p(w) + h(w). What is x in u(x) = 0?
-3, 0, 1
Solve -53*z**2 + 620*z - 70*z - 75*z + 58*z**2 + 470 = 0.
-94, -1
Let i = 118 + 29. Suppose -144*x**2 + i*x**3 - 576*x**2 - 519*x**2 - 744*x - 108 = 0. Calculate x.
-2/7, 9
Suppose -4*c + 6*c = -5*o + 70, -10 = 5*o. Let b be 14/77 + (150/22 - 2). What is z in c*z**4 + 10 - 25*z**5 - 50*z**2 + 5*z + 2*z**b - 2*z**5 + 20*z**3 = 0?
-1, -2/5, 1
Let m = -26 - 46. Let g = -68 - m. Factor -8*x**5 + 6*x**2 - 3*x**g - 6*x**2 + 5*x**4.
-2*x**4*(4*x - 1)
Suppose 9*n - n = 24. Suppose 8 = 2*r - 4*k, -4*r = -n*k + 5*k - 6. Factor -12*i**2 + 10*i**2 - 4 + 6*i**r.
4*(i - 1)*(i + 1)
Let s(c) be the first derivative of 53 + 0*c**2 + 3/5*c**5 + 7/8*c**4 + 0*c**3 - 1/12*c**6 + 0*c. Factor s(i).
-i**3*(i - 7)*(i + 1)/2
Let s(k) be the second derivative of k**6/120 + 7*k**5/16 + 407*k**4/48 + 1573*k**3/24 + 4230*k. Determine u, given that s(u) = 0.
-13, -11, 0
Let z(s) be the second derivative of s**5/270 - s**4/54 - 8*s**3/27 - 117*s**2 + 179*s. Let f(h) be the first derivative of z(h). Find x, given that f(x) = 0.
-2, 4
Let t = -95478/5 + 19096. Let d(r) be the third derivative of 0 + 0*r + 1/200*r**6 + 11*r**2 - 7/40*r**4 + 1/50*r**5 + t*r**3. Factor d(o).
3*(o - 1)**2*(o + 4)/5
Suppose 11*h - 22 = -0*h. Factor 41*m**h - 118*m**2 + 30 + 4*m + 39*m**2 + 36*m**2.
-2*(m - 5)*(m + 3)
Let h(k) be the third derivative of k**6/420 - 89*k**5/210 + 25*k**4/12 - 29*k**3/7 - 705*k**2 - k. Factor h(i).
2*(i - 87)*(i - 1)**2/7
Let 5/6*f**5 - 75/2*f + 35/3*f**2 - 35/3*f**4 + 110/3*f**3 + 0 = 0. Calculate f.
-1, 0, 1, 5, 9
Let f(v) = 4*v**3 + 75*v**2 + 40*v - 249. Let z be f(-18). What is i in 0 + 2/5*i**z - 2/5*i**2 + 0*i = 0?
0, 1
Let z(f) be the third derivative of -1/9*f**3 - 1/72*f**4 + 2*f - 2*f**2 + 2/45*f**5 + 0 - 1/72*f**6. Factor z(m).
-(m - 1)**2*(5*m + 2)/3
Factor -3*v**3 + 114*v + 1059*v + 83435*v**2 - 83819*v**2 - 786.
-3*(v - 2)*(v - 1)*(v + 131)
Suppose 2*q = q - 3*u + 5, 4*u = 4. What is l in -27*l + 11*l + 8*l + 2*l**q - 18*l = 0?
0, 13
Let b(c) = 7*c**2 - 38*c + 291. Let l(n) = n**2 + 2*n + 1. Let x(i) = b(i) - 5*l(i). Suppose x(d) = 0. What is d?
11, 13
Let q be (2/6)/(22/165). Let f be -2 + 322/(-28) - -13 - -1. Solve f*s**2 - 3*s + q = 0 for s.
1, 5
Let d(l) = l + 6*l - 3*l**2 - l - 14 + 15*l**2 + 2 + 5*l**3. Let c(u) = u**3 + u**2 + u - 2. Let y(v) = 6*c(v) - d(v). Factor y(i).
i**2*(i - 6)
Suppose -u - 8 = -4*v, 13*u + 2*v = 14*u + 2. Determine n, given that 0*n**3 - 4/11*n**2 + 0 - 2/11*n**5 + 4/11*n**u + 2/11*n = 0.
-1, 0, 1
Let l = 948780/19 + -49934. Solve 12/19*b + 0 - 10/19*b**5 - 34/19*b**4 + l*b**2 - 2/19*b**3 = 0 for b.
-3, -1, -2/5, 0, 1
Let f(w) be the third derivative of w**5/360 + 325*w**4/144 + 161*w**3/6 - 5*w**2 + 308*w + 1. Find g, given that f(g) = 0.
-322, -3
Let m(t) be the third derivative of 2*t**2 + 1/24*t**6 + 0 + 97*t + 5/24*t**4 + 0*t**3 + 1/6*t**5. Suppose m(i) = 0. Calculate i.
-1, 0
Let d be 8/6*(-14)/((-952)/51). Suppose 2*c + d = -73*j + 74*j, -5*j - 4*c + 19 = 0. What is m in 4*m - 2*m**2 + 1/2*m**4 - m**j + 0 = 0?
-2, 0, 2
Let n be -2 + 9 + 7414/(-1452). Let z = n - 19/11. Factor z*o**4 + 0 - 1/6*o**3 + 1/6*o**5 - 1/6*o**2 + 0*o.
o**2*(o - 1)*(o + 1)**2/6
Let g(z) be the first derivative of -z**3/15 + 98*z**2/5 + 887. Factor g(t).
-t*(t - 196)/5
Let k = 48 - 42. Suppose q + q = k. What is p in -q - 115*p**2 + 45*p**3 - 10*p**3 + 43 - 60*p - 50*p = 0?
-1, 2/7, 4
Suppose 0*f - 7 = b + 5*f, -10 = -4*b - f. Factor -h**2 - 660*h**3 + 3*h**2 + 658*h**b.
-2*h**2*(h - 1)
Let a(r) be the second derivative of r**5/20 + 133*r**4/12 - 275*r**3/2 + 1251*r**2/2 - 478*r. Find l, given that a(l) = 0.
-139, 3
Factor -12/5*q**3 + 108/5*q + 162/5 - 2/5*q**4 + 0*q**2.
-2*(q - 3)*(q + 3)**3/5
Factor -44*j**3 - 50*j**3 - 75*j**2 - 173*j**2 + 149*j**3 - 51*j**3 + 3844*j.
4*j*(j - 31)**2
Let z = -8285 + 347971/42. Let x(l) be the second derivative of 3*l + 9/7*l**2 + 0 + z*l**4 + 10/21*l**3. Find a, given that x(a) = 0.
-9, -1
Let y(t) = t**3 + 15*t + 884. Let u be y(0). Let q = u - 13256/15. Let -2/15*x**5 + 0 - 2/15*x + q*x**3 + 0*x**2 + 0*x**4 = 0. Calculate x.
-1, 0, 1
Let -5950*c**3 - 2 + 3001*c**3 + 18*c**2 - 16*c**4 + 2945*c**3 + 9*c**5 - 5*c = 0. Calculate c.
-1, -2/9, 1
Suppose -217/3*b - 884/3 + 1/3*b**2 = 0. What is b?
-4, 221
Let d = 2413/3 - 796. Let n = 72585 - 217670/3. Factor -10 + n*s - d*s**2.
-5*(s - 3)*(5*s - 2)/3
Let i(m) = 2*m**5 - m**4 - m**2 + m + 1. Let n(a) = 36*a**5 - 16*a**4 - 64*a**3 - 80*a**2 + 208*a + 272. Let d(r) = -16*i(r) + n(r). Factor d(l).
4*(l - 4)*(l - 2)*(l + 2)**3
Let f be (7/1 + 1 - 8) + 4. Let r(o) be the first derivative of -2/5*o**5 - 8*o**3 + 10*o**2 - 6*o - 2 + 3*o**f. Suppose r(l) = 0. What is l?
1, 3
Let a = 365841/10 + -36584. Let m(u) be the first derivative of -2/15*u**3 - 1/5*u**2 + 2/5*u - 12 + a*u**4. Factor m(n).
2*(n - 1)**2*(n + 1)/5
Let k(z) be the third derivative of 7/80*z**5 - 1/6*z**4 - 3/160*z**6 + 159*z**2 + 0*z + 1/6*z**3 + 0. Factor k(a).
-(a - 1)*(3*a - 2)**2/4
Let f(l) be the second derivative of l**4/90 + 98*l**3/3 - 1334*l + 1. Factor f(q).
2*q*(q + 1470)/15
Suppose -25/2*l + 5/2*l**3 + 14 - 1/4*l**4 - 15/4*l**2 = 0. Calculate l.
-2, 1, 4, 7
Let f(d) be the second derivative of -3*d**5/140 + 34*d**4 + 1907*d**3/14 + 1431*d**2/7 - 9802*d - 1. Factor f(s).
-3*(s - 954)*(s + 1)**2/7
Let o(s) be the third derivative of -s**6/120 - 19*s**5/30 - 35*s**4/24 + 37*s**3/3 + 86*s**2 - 2*s - 1. Factor o(p).
-(p - 1)*(p + 2)*(p + 37)
Let g(k) be the second derivative of -k**4/3 - 122*k**3/3 + 124*k**2 - 2*k + 2041. Factor g(a).
-4*(a - 1)*(a + 62)
Let f be 290/25 + (-572)/(-26) + -32. Suppose -36/5*t + f - 39/5*t**3 + 9/5*t**4 + 58/5*t**2 = 0. What is t?
2/3, 1, 2
Let b(p) = -8*p**3 - 5*p**2 + 56*p - 77. Let v(i) = -6*i**3 - 8*i**2 + 58*i - 76. Let j(w) = 4*b(w) - 5*v(w). Let j(a) = 0. Calculate a.
3, 4
Factor 1/5*i**3 - 51/5*i**2 + 0 - 106/5*i.
i*(i - 53)*(i + 2)/5
Suppose 315*v - 302*v - 156 = 0. Let d be (0 + 4/v)*(-2880)/(-75). Factor 12/5 - 16/5*w**3 + d*w**2 - 52/5*w.
-4*(w - 3)*(2*w - 1)**2/5
Let m(g) be the first derivative of -5*g**3/3 - 195*g**2/2 - 990*g + 1356. Suppose m(i) = 0. What is i?
-33, -6
Let a = 1387546/3 - 462510. Determine y so that 104/9*y - a - 10/9*y**5 + 76/9*y**2 - 56/9*y**4 - 22/3*y**3 = 0.
-3, -2, 2/5, 1
Let d(t) = -122*t**4 - 209*t**3 - 105*t**2 - 17*t + 1. Let g(i) = -i**4 - i**2 - i + 1. Let j(b) = -2*d(b) + 2*g(b). Determine x, given that j(x) = 0.
-1, -4/11, 0
Let f(v) be the third derivative of 89*v**5/120 - 179*v**4/48 + v**3/6 - 174*v**2 + v + 3. Solve f(w) = 0 for w.
1/89, 2
Let l(h) be the first derivative of 0*h**2 + 1/4*h**4 + 8 - 2*h**3 + 5*h. Let m(o) be the first derivative of l(o). Factor m(n).
3*n*(n - 4)
Suppose -4 = -5*k + 4*d + 8, 12 = -k - 4*d. Let 