*p(n) - y(n). Let f(z) = 0. Calculate z.
-2, 0, 1
Let k(q) = 25*q + 39. Let g be k(20). Let h = g - 1077/2. Factor 0 - 1/2*j**2 + h*j.
-j*(j - 1)/2
Let -2*v**5 + 6*v + 16/5*v**2 - 68/5*v**3 + 0 - 64/5*v**4 = 0. What is v?
-5, -1, 0, 3/5
Determine c so that -142/5*c**2 + 142/5*c**4 + 2/5*c**5 + 0 + 406/5*c**3 - 408/5*c = 0.
-68, -3, -1, 0, 1
Let g(j) be the second derivative of j**6/600 + j**5/75 + j**4/24 + j**3/15 + 35*j**2 + 15*j + 3. Let i(l) be the first derivative of g(l). Factor i(a).
(a + 1)**2*(a + 2)/5
Let j(g) = -g**3 + 3*g**2 - 8*g + 2. Let i(z) = 4*z**3 - 11*z**2 + 25*z - 7. Suppose -5*n - 28 = -7*n. Let u(r) = n*j(r) + 4*i(r). Solve u(o) = 0 for o.
-2, 0, 3
What is j in -924/5*j - 108/5*j**2 - 2548/5 - 4/5*j**3 = 0?
-13, -7
Let m(u) = u**3 - 28*u**2 - 7*u - 11. Let i(s) = -3*s**2 + s + 1. Suppose z = 2*z + o - 15, 5*o - 21 = -2*z. Let q(f) = z*i(f) - 2*m(f). Solve q(a) = 0 for a.
-2, 5
Suppose 0 = 2*k - 4*s + 10, 0 = -0*k - 2*k + 5*s - 15. Let u be (2 - 3)*(-10)/k. Factor -61*q**2 + 31*q**2 + 50 + 32*q**u + 20*q.
2*(q + 5)**2
Suppose -4*z = 10*z + 1666. Let g = z + 123. Factor 2/3 - g*b**2 + 10/3*b.
-2*(b - 1)*(6*b + 1)/3
Suppose 0 = -g + 5*i - i - 4, -4*g = -5*i - 6. Suppose -3*d = 5*b - 11, 8 = -3*d - 1. Suppose 2*k**5 + 3*k**3 + k**5 + 89*k**b - 83*k**g = 0. What is k?
-1, 0
Suppose 0 = k - 3*b - 13, -5*b = 0. Suppose -k*r**2 + 178*r + 20*r**2 - 180*r = 0. Calculate r.
0, 2/7
Let p(o) be the second derivative of 3*o**5/10 + 23*o**4/4 + 26*o**3 - 48*o**2 + 14807*o. Determine h so that p(h) = 0.
-8, -4, 1/2
Let j(y) be the first derivative of 2*y**5/5 + 9*y**4/2 - 344*y**3/3 - 180*y**2 + 679. Factor j(q).
2*q*(q - 10)*(q + 1)*(q + 18)
Let z(c) be the second derivative of -3*c**5/22 - 41*c**4/11 + 148*c**3/11 + 216*c**2/11 - 5174*c - 2. Determine b, given that z(b) = 0.
-18, -2/5, 2
Let k = 2/17147 - -325789/34294. Factor -k*t**3 + 17/2*t**2 + 1/2*t**4 + 19/2*t - 9.
(t - 18)*(t - 1)**2*(t + 1)/2
Suppose 4*z - 21 = -57. Let h be 26/39*z/(-14). Factor 0 + 2/7*i + h*i**2 + 1/7*i**3.
i*(i + 1)*(i + 2)/7
Factor -3*k**4 - 10 + 34*k**2 - 22*k**2 + 3*k**3 + 10 + 6*k**3.
-3*k**2*(k - 4)*(k + 1)
Let y(d) be the third derivative of -d**9/141120 + 3*d**8/15680 + d**5/60 + d**4/6 - d**2 - 1. Let q(c) be the third derivative of y(c). Factor q(g).
-3*g**2*(g - 9)/7
Determine z, given that 24/5*z**2 + 52/5*z - 1/5*z**3 + 0 = 0.
-2, 0, 26
Let q = -55 - -62. Let t be q/14 - (-70)/4. Suppose -11*n**3 + 4*n**4 + t*n**2 - 12*n**3 + 3*n**3 - 2*n**2 = 0. What is n?
0, 1, 4
Let r = 339397/15 + -67877/3. Factor -x**2 + 3/5*x**4 - 2/5*x + 0 + r*x**3.
x*(x - 1)*(x + 2)*(3*x + 1)/5
Factor 190 + 7/3*d**2 + 1997/3*d.
(d + 285)*(7*d + 2)/3
Suppose -2*a + 0*a = 4*a - 12. Let d(f) be the first derivative of -2/5*f**5 + 0*f**a - 4/3*f**3 - 1 + 0*f - 3/2*f**4. What is s in d(s) = 0?
-2, -1, 0
Suppose 0 = 2*b + 6, k - b - 14 = 4. Let q = k - 12. Solve -29*g**2 - 3*g + 23*g**2 + 3*g**5 + 6*g**4 - 3*g**3 + q*g**3 = 0.
-1, 0, 1
Let x(t) be the first derivative of t**3/3 + 7*t**2 + 24*t - 1552. Factor x(u).
(u + 2)*(u + 12)
Let h(z) be the first derivative of z**8/560 - z**7/140 + z**6/120 - 2*z**3/3 + 8*z**2 + 98. Let w(j) be the third derivative of h(j). Factor w(s).
3*s**2*(s - 1)**2
Let r(p) = 156*p**2 - 12*p - 16. Let y be r(-2). Let q = y + -629. Let 40/11*d**2 + 60/11*d**4 + 74/11*d**q + 8/11*d + 0 + 18/11*d**5 = 0. What is d?
-1, -2/3, 0
Suppose -635*i + 503 + 64 + 703 = 0. Find q such that 1/5*q - 2/5*q**i + 2/5*q**4 + 0 - 4/5*q**3 + 3/5*q**5 = 0.
-1, 0, 1/3, 1
Let t(j) = 10*j**4 + 8*j**3 - 30*j**2. Let v(d) = 8*d**4 + 12*d**3 - 28*d**2. Let b(w) = 2*t(w) - 3*v(w). Factor b(s).
-4*s**2*(s - 1)*(s + 6)
Let n(g) be the first derivative of g**8/12600 - g**7/6300 + 29*g**3/3 + g - 12. Let u(w) be the third derivative of n(w). Factor u(r).
2*r**3*(r - 1)/15
Let a(c) = -3*c**2 - 55*c + 44. Let d be a(-19). Suppose 24*x = d*x. Determine u, given that -32/5*u - 16/5*u**2 - 2/5*u**3 + x = 0.
-4, 0
Suppose 3*l + 4 = 10. Let n be 28/(-105)*(-783)/348. Factor 12/5 - 3/5*u**l - n*u**3 + 12/5*u.
-3*(u - 2)*(u + 1)*(u + 2)/5
Find i, given that 16/3*i**3 + 0 + 17*i**2 + 12*i + 1/3*i**4 = 0.
-12, -3, -1, 0
Let r(f) = 13*f**2 - 265*f - 285. Let n(h) = -2*h**2 + 44*h + 45. Let g(d) = -19*n(d) - 3*r(d). Factor g(b).
-b*(b + 41)
Let z(m) = 27*m - 54. Let i be z(2). Suppose s - 8 = 7*c - 10*c, i = s - 2. Factor a - 1/2*a**c - 1/2.
-(a - 1)**2/2
Let j(r) = 44*r**2 + 239*r + 221. Let m(q) = 10*q**2 + 59*q + 55. Let f(l) = -6*j(l) + 26*m(l). Solve f(w) = 0.
-1, 26
Suppose 5*a - 15 = -8*d + 3*d, -12 = -4*a + 3*d. Suppose -30 + 39 + 20*v**2 - 28*v - 33 + 4*v**4 + 28*v**a = 0. Calculate v.
-6, -1, 1
What is w in 2*w**3 - 1100*w**2 - 58*w - 66*w + 1042*w**2 = 0?
-2, 0, 31
Let b = -5888/7 + 5921/7. Factor -3/7*i**2 + b - 30/7*i.
-3*(i - 1)*(i + 11)/7
Let u(x) be the third derivative of 2/3*x**3 - 19/30*x**5 - 77*x**2 + 2*x + 0 - 17/12*x**4. Find z such that u(z) = 0.
-1, 2/19
Let k(a) be the second derivative of a**5/12 - 25*a**4/8 - 4*a**2 + 143*a. Let o(h) be the first derivative of k(h). Find n, given that o(n) = 0.
0, 15
Let y(s) be the third derivative of 11/156*s**4 + 1/390*s**5 + 5*s**2 + 0 + 0*s + 6/13*s**3. Determine c, given that y(c) = 0.
-9, -2
Let n(c) be the second derivative of 5*c**7/189 + 11*c**6/90 - 161*c**5/180 - 49*c**4/12 - 317*c**3/54 - 10*c**2/3 + 4055*c. Let n(t) = 0. What is t?
-5, -1, -3/10, 4
Factor -8585 - 2231 + 192*p**2 - 4*p**3 - 976*p - 896*p.
-4*(p - 26)**2*(p + 4)
Let g(t) be the second derivative of t**5/270 + 13*t**4/108 + 17*t**2 - 10*t. Let r(b) be the first derivative of g(b). Factor r(l).
2*l*(l + 13)/9
Determine j, given that 0 - 1/2*j**2 + 70*j = 0.
0, 140
Suppose l = 4*u - 4, -3*l + 1 + 17 = 3*u. Let f = 125 - 65. Determine k, given that 34*k**u - 3 - f*k**2 + 27*k**2 + 2*k = 0.
-3, 1
Let o be 5 + -1 + 24/(-6). Let g = -65 - -67. Determine w so that 13*w**3 + 2*w**4 + o*w**2 + g*w + 5*w**2 - 9*w**3 - w**4 = 0.
-2, -1, 0
Let t(j) be the first derivative of -2*j**3/21 + 317*j**2/7 - 632*j/7 + 1554. Solve t(p) = 0 for p.
1, 316
Let x(t) be the first derivative of -t**6/300 + t**5/150 + t**4/12 + t**3/5 + 21*t**2/2 + t - 40. Let p(h) be the second derivative of x(h). Factor p(b).
-2*(b - 3)*(b + 1)**2/5
Let h(w) be the second derivative of w**6/150 - 43*w**4/60 - 7*w**3/5 - 1162*w. Suppose h(i) = 0. What is i?
-6, -1, 0, 7
Let i = 2536 - 2536. Let z(y) be the first derivative of -1/6*y - 1/30*y**5 + i*y**2 + 1/9*y**3 + 9 + 0*y**4. Factor z(w).
-(w - 1)**2*(w + 1)**2/6
Let m(y) be the second derivative of y**6/45 - 19*y**5/15 + 56*y**4/3 + 8*y - 487. Factor m(x).
2*x**2*(x - 24)*(x - 14)/3
Let i = 396 + -73. Let f = i - 6131/19. Let -2/19 - f*t**2 + 8/19*t = 0. What is t?
1/3, 1
Let h(t) be the second derivative of -t**6/20 - 3*t**5/10 + 13*t**4/8 + 7*t**3 - 45*t**2 - 661*t. Solve h(m) = 0.
-5, -3, 2
Suppose -2*d + 285 = 5*v, 0*v + 3*d = 4*v - 205. Suppose 7*s = v*s - 192. Suppose 24/5*m**2 + 3/5*m**5 + 0*m + 0 + 36/5*m**3 + 18/5*m**s = 0. What is m?
-2, 0
Suppose -v - v = -3*t - 77, -5*v + 2*t = -209. Let a = v - 41. Solve 3 - 2*u + 45*u**2 - 44*u**a - 2*u = 0.
1, 3
Factor -15*v + 95/4*v**2 - 135 - 5/4*v**3.
-5*(v - 18)*(v - 3)*(v + 2)/4
Suppose 3*q = -9, -q - 3*q - 4 = w. Determine c so that 36 + 24 + 9*c**3 + w*c + 96*c + 13*c - 186*c**2 = 0.
-1/3, 1, 20
Suppose 7*k + 108 = 16*k. Find h, given that 11*h + 37*h**2 - k*h - 40*h**2 - 23*h + 6 - 42 = 0.
-6, -2
Let u be 630/(-54)*9/(-5). Let p be 14/u - (80/(-6) - 0). Factor -18 + p*n**3 + 4*n**2 + 10*n**3 - 2*n**4 + 2*n - 26*n - 16*n**3.
-2*(n - 3)**2*(n + 1)**2
Suppose h - 5*h + 13*k + 1819 = 0, h + 4*k - 462 = 0. Factor -h*z**2 - 10*z + 448*z**2 + 26*z.
-2*z*(5*z - 8)
Factor -1183 - 116*t**2 - 117*t**2 - 237 + 700*t + 238*t**2.
5*(t - 2)*(t + 142)
Let b(p) be the first derivative of -10/3*p**3 + 5/2*p**2 + 10*p - 5/4*p**4 - 97. Factor b(w).
-5*(w - 1)*(w + 1)*(w + 2)
Let b(y) be the third derivative of y**5/105 - 349*y**4/252 - 295*y**3/63 - 1018*y**2. Factor b(x).
2*(x - 59)*(6*x + 5)/21
Let m(g) = 25*g**4 - 350*g**3 + 375*g**2 - 50*g. Let j(q) = 6*q**4 - 88*q**3 + 94*q**2 - 12*q. Let w(l) = -35*j(l) + 9*m(l). Factor w(u).
5*u*(u - 3)*(u - 1)*(3*u - 2)
Let j(u) be the third derivative of -u**8/5