(a - 9)*(a + 1)**3*(a + 3)/9
Let u(y) be the first derivative of 2/3*y**4 - 3*y**2 + 2/3*y**3 - 1/15*y**6 - 1/5*y**5 - 31 - 22*y. Let l(o) be the first derivative of u(o). Factor l(s).
-2*(s - 1)**2*(s + 1)*(s + 3)
Let k(p) be the third derivative of p**7/105 - 119*p**6/60 + 47*p**5/6 - 39*p**4/4 - 473*p**2. Determine j, given that k(j) = 0.
0, 1, 117
Let m(j) be the second derivative of j**4/4 + 17*j**3 - 333*j**2/2 - 2*j + 1. Factor m(a).
3*(a - 3)*(a + 37)
Let f be (-73)/8 - (-14 - 144/(-36)). Let i(z) be the second derivative of f*z**3 - 3/2*z**2 - z - 3/80*z**5 - 1/8*z**4 + 0. Factor i(v).
-3*(v - 1)**2*(v + 4)/4
Let d(w) be the third derivative of -w**6/210 - 38*w**5/21 - 751*w**4/56 - 561*w**3/14 - 58*w**2 - 26. Determine a, given that d(a) = 0.
-187, -3/2
Suppose 24*c + 108*c = 528. Let l be (-32)/32 - (1 + (-22)/7). Find x, given that 0 + 0*x + l*x**3 - 6/7*x**2 - 2/7*x**c = 0.
0, 1, 3
Let n(m) = m**2 - 5*m. Let a = -38 + 43. Let f be n(a). Let 12*s**3 + 3*s**2 + 13*s**4 + 3*s**4 - 7*s**2 + f*s**2 = 0. Calculate s.
-1, 0, 1/4
Let k be (-16)/(-3)*-2*20/6. Let n = 36 + k. Factor -2/9*p - 2/9*p**3 + 0 - n*p**2.
-2*p*(p + 1)**2/9
Let i(j) be the second derivative of -j**6 - 576*j**2 - 1/42*j**7 - 15*j**5 - 320*j**3 + 22*j + 0 - 290/3*j**4. Let i(p) = 0. What is p?
-12, -2
Let n(a) be the first derivative of a**6/3 + 38*a**5/15 + 31*a**4/6 + 2*a**3 - 14*a**2/3 - 16*a/3 + 917. Solve n(m) = 0 for m.
-4, -1, 2/3
Let t(o) be the third derivative of -o**6/480 - 209*o**5/120 - 43681*o**4/96 + 69*o**2 - 2. Factor t(n).
-n*(n + 209)**2/4
Suppose -408*l**3 + 5305*l - 543918 + 549102 - 4023*l**2 + 8951*l - 9*l**4 = 0. What is l?
-24, -1/3, 3
Let l(u) = -34*u**3 + 157*u**2 + 418*u - 16. Let i(o) = -o**3 + o. Let d(x) = 8*i(x) - l(x). Determine k so that d(k) = 0.
-2, 1/26, 8
Let q(l) be the first derivative of -l**5 - 3205*l**4/4 - 228975*l**3 - 49679055*l**2/2 - 96635970*l - 3310. Find s, given that q(s) = 0.
-213, -2
Let b(i) = -14*i - 37. Let g be b(-3). Let -95*h - 25*h**5 + 49*h**2 + 30 + 30*h**g - 30*h**3 + 51*h**2 - 10*h**4 = 0. Calculate h.
-3, 1, 2
Suppose -244*k = 13700 - 14432. Factor 2/3*f**k - 16/3*f**2 - 32/3 + 40/3*f.
2*(f - 4)*(f - 2)**2/3
Let w(x) = x**3 + 364*x**2 + 1459*x + 1180. Let c(j) = -10*j**3 - 3265*j**2 - 13140*j - 10620. Let t(m) = 4*c(m) + 35*w(m). Factor t(f).
-5*(f + 1)*(f + 4)*(f + 59)
Let r(s) be the first derivative of s**6/18 - 4*s**5/15 - 17*s**4/3 + 74*s**3/9 + 67*s**2/6 - 70*s/3 - 591. Solve r(g) = 0.
-7, -1, 1, 10
Suppose 1/2*b**2 - 16 - 7*b = 0. Calculate b.
-2, 16
Let d(j) be the second derivative of j**4/30 + 118*j**3/15 - 119*j**2/5 + 21*j + 2. Factor d(l).
2*(l - 1)*(l + 119)/5
Let a = -113 + 143. Let w = -13 + a. Factor -7*u**2 + 15*u**2 + 2 + w*u - 16*u - 3*u**3 - 12*u**2.
-(u + 1)**2*(3*u - 2)
Find a, given that -9/4*a**5 + 171/2 + 42*a**4 + 609/4*a + 30*a**3 - 615/2*a**2 = 0.
-3, -1/3, 1, 2, 19
Let v(j) be the second derivative of -j**4/54 - 214*j**3/9 - 11449*j**2 + 172*j - 1. Solve v(l) = 0 for l.
-321
Factor 463*s**3 + 3*s**4 + 155*s**2 + 156 - 536*s**3 + 793*s + 256*s**2 - 32*s**2 + 182.
(s - 13)**2*(s + 1)*(3*s + 2)
Factor -2/5*y**3 - 36694374/5*y + 14838/5*y**2 + 30248395634/5.
-2*(y - 2473)**3/5
What is a in -4*a - 15/2 + 1/8*a**4 + a**3 + 11/8*a**2 = 0?
-5, -3, -2, 2
Let u(d) = -16*d**4 - 172*d**3 - 320*d**2 + 24*d + 304. Let x(l) = -l**4 - l + 2. Let o(m) = u(m) + 8*x(m). Determine j so that o(j) = 0.
-4, -2, 5/6
Let q(l) = l**4 + 225*l**3 - 2959*l**2 + 20956*l - 52733. Let k(t) = 2*t**4 + 234*t**3 - 2958*t**2 + 20956*t - 52734. Let p(c) = 5*k(c) - 6*q(c). Factor p(b).
4*(b - 13)**3*(b - 6)
Solve 0 + 506*b**3 + 192027*b**2 + 1/3*b**4 + 0*b = 0.
-759, 0
Let i(j) be the second derivative of -j**4/12 + 10*j**3 - 459*j**2/2 + 31*j - 34. Let i(g) = 0. Calculate g.
9, 51
Let a be (33/396)/(2/85672) - 25. Suppose -4232/3 - 6*c**4 - 284*c**3 - a*c**2 - 13064/3*c = 0. What is c?
-23, -2/3
Determine y so that -486/13 - 432/13*y + 2/13*y**4 + 32/13*y**3 + 84/13*y**2 = 0.
-9, -1, 3
Suppose 1/5*z**4 + 159201/5 + 7980*z + 1702/5*z**2 - 20*z**3 = 0. Calculate z.
-7, 57
Let -4452585*v**4 - 142*v**3 + 702*v**2 - 340*v + 4452593*v**4 + 578 + 16 - 902*v = 0. Calculate v.
3/4, 3, 11
Let k = -8870/13 + 17753/26. Solve 3/4*r**2 + 1/8*r**3 + 9/8*r + k = 0 for r.
-4, -1
Let v = -121861/26 + 4687. Let m(s) be the first derivative of 2/13*s**2 + v*s**4 - 6 - 2/13*s**3 + 0*s. Solve m(u) = 0 for u.
0, 1, 2
Factor 4/3*b**3 - 22/3*b**2 + 8*b + 0.
2*b*(b - 4)*(2*b - 3)/3
Factor 665/6*d**2 + 5/6*d**3 + 225/2 - 1345/6*d.
5*(d - 1)**2*(d + 135)/6
Let c(u) = -15*u + 3. Let h be c(-1). Let w = h + -6. Factor 70*i**3 - 3*i**5 + w*i**2 - 70*i**3 - 9*i**4.
-3*i**2*(i - 1)*(i + 2)**2
Factor -243*t**3 - 425 + 54*t**3 + 430*t + 420*t**2 + 5*t**4 - 241*t**3.
5*(t - 85)*(t - 1)**2*(t + 1)
Let g(q) be the first derivative of 5*q**3/6 - 135*q**2/2 - 580*q - 1190. Factor g(i).
5*(i - 58)*(i + 4)/2
What is r in 498*r + 40 - 5*r**2 - 991*r + 483*r = 0?
-4, 2
Let f(m) be the third derivative of -m**5/160 - 31*m**4/8 - 123*m**3/4 - 19*m**2 + 64*m. Factor f(a).
-3*(a + 2)*(a + 246)/8
Let p(f) be the first derivative of 4*f**3/3 + 37*f**2/2 - 30*f - 2385. Find t such that p(t) = 0.
-10, 3/4
Let h(z) be the second derivative of 1/7*z**4 - 11/21*z**3 - 8 + z + 6/7*z**2 - 1/70*z**5. Solve h(w) = 0.
1, 2, 3
Let u(o) be the third derivative of 0*o + 31/24*o**4 + 0 - 108*o**2 - 1/60*o**5 - 5*o**3. Suppose u(x) = 0. What is x?
1, 30
Suppose 0 = 3*a + 9*z - 4*z - 15, 4*a + 15 = 5*z. Suppose -3*l - 4*q + 29 = a, -4*q + 2*q = -10. Let 4/7*g**l + 48/7*g + 24/7*g**2 + 32/7 = 0. Calculate g.
-2
Let l = 320 - 299. Determine s so that -48 + 7*s**5 - 6*s**5 - l*s + 24*s**2 + 21*s**4 + 2*s**5 + 48*s**3 - 27*s = 0.
-2, 1
Let l(p) be the second derivative of 169*p**6/180 - 793*p**5/120 + 35*p**4/6 + 47*p**3/9 + 4*p**2/3 - 4155*p - 1. Find v such that l(v) = 0.
-2/13, 1, 4
Let -19/5*c**2 - 1/5*c**3 + 97/5*c + 23 = 0. What is c?
-23, -1, 5
Let y = 42079/15 - 8414/3. What is f in -y*f**5 - 1368/5*f - 657/5*f**3 + 303*f**2 + 81/5*f**4 + 432/5 = 0?
1, 12
Let x(s) be the second derivative of -s**7/147 + 34*s**6/35 - 2389*s**5/70 - 1802*s**4/7 - 11236*s**3/21 + 597*s. Determine u so that x(u) = 0.
-2, 0, 53
What is b in -80 - 249*b**3 + 445*b**4 - 495*b**3 - 130*b**3 - 60*b - 131*b**3 + 760*b**2 - 60*b**5 = 0?
-1/4, 2/3, 1, 2, 4
Let y be (4837/(-1512) - 2/(-27))*4/(-5). Factor 0 - 4*f + 1/2*f**4 + f**2 + y*f**3.
f*(f - 1)*(f + 2)*(f + 4)/2
Let l(p) be the third derivative of -p**5/330 + 52*p**4/11 - 32448*p**3/11 - 50*p**2 + 7. Factor l(q).
-2*(q - 312)**2/11
Let s(g) be the first derivative of -g**3/21 + 53*g**2/14 - 52*g/7 - 147. Factor s(r).
-(r - 52)*(r - 1)/7
Suppose 149 - 147 = s. Factor -4*f**s + 18 - 3*f - 47 + 21*f + 21.
-2*(f - 4)*(2*f - 1)
Let v be (1 - -1 - -2) + -1. Let a be -4 + v - 2/(-2*1). Solve 6*b - 8*b**3 + 8*b**3 + 3*b**4 + a*b**4 - 3 - 6*b**3 = 0 for b.
-1, 1
Let d(p) be the second derivative of p**7/840 - p**6/12 + 19*p**5/40 + p**4/4 + 3*p**2/2 + 80*p. Let u(y) be the third derivative of d(y). Factor u(a).
3*(a - 19)*(a - 1)
Let b = -167 + 339/2. Let 7/2*q**2 - 1/2*q**5 - 9/2*q**3 - q + b*q**4 + 0 = 0. What is q?
0, 1, 2
Let o(x) = -20*x**2 + 169*x - 204. Let t(d) = 15*d**2 - 127*d + 152. Let c(g) = -7*o(g) - 9*t(g). Factor c(u).
5*(u - 6)*(u - 2)
Let h(l) be the first derivative of -l**5/20 + 13*l**4/12 - 8*l**3 + 18*l**2 - 8*l + 1. Let k(y) be the first derivative of h(y). Factor k(n).
-(n - 6)**2*(n - 1)
Suppose -3/4*b**2 + 0 + 417/4*b = 0. What is b?
0, 139
Let o(x) = 11*x**2 + 103410*x - 178227187. Let r(j) = -15*j**2 - 144774*j + 249518061. Let n(z) = 18*o(z) + 13*r(z). Factor n(g).
3*(g - 3447)**2
Suppose 0 = 3*n + 12, 14*x = 19*x - 2*n - 60853. Factor 3*u**3 + x - 12169 - 12*u**2 + 12*u.
3*u*(u - 2)**2
Determine i, given that -1116/7*i + 1/7*i**4 + 1420/7 + 55/7*i**2 + 72/7*i**3 = 0.
-71, -5, 2
Let d(j) = j**2 + j - 2. Let y(q) = -2119 + 4*q**2 + 9*q + 2*q + 2125. Let i(z) = 3*d(z) - y(z). Solve i(u) = 0 for u.
-6, -2
Let q = -1247/85 + 4081/255. Suppose 2*p**2 - q + 10/3*p = 0. Calculate p.
-2, 1/3
Let c = 11843 - 35510/3. Factor -1/3 + 4/3*g**5 - 16/3*g**4 - c*g**2 + 7/3*g + 25/3*g**3.
(g - 1)**3*(2*g - 1)**2/3
Let z = -7606338/7 + 1