Let a(y) be the second derivative of y**5/12 - 55*y**4/24 + 25*y**3/3 + 2*y**2 + 28*y. Let p(x) be the first derivative of a(x). Let p(i) = 0. Calculate i.
1, 10
Let k(a) be the third derivative of 0*a - 1/60*a**5 + 30*a**2 - 169/6*a**3 + 13/12*a**4 - 1. Determine x so that k(x) = 0.
13
Let d = 3 - -3. Suppose -z + d*z = 10. Solve -w**2 - 4*w**2 + 0*w**z + 5*w**5 + 5*w**4 - 5*w**3 = 0.
-1, 0, 1
Suppose 6*x - 17*p = -21*p - 40, 5*x + 5*p = -55. Determine v so that -2/3 + 3*v**x + 1/2*v**5 - 7/3*v**4 - 7/6*v + 2/3*v**3 = 0.
-1, -1/3, 1, 4
Let r be (-18)/(-45) - 26/(-10). Determine u, given that -8 + 5 + 3 + 2*u**3 + r*u**4 + u**5 = 0.
-2, -1, 0
Let z be 28/18 - 280/180. Let v(c) be the third derivative of z*c**4 + 0*c + 0*c**3 - 1/270*c**5 + 0 + 12*c**2. Factor v(g).
-2*g**2/9
Let n = -726 - -1338. Let y = n - 610. Factor 12/11*j**y - 6/11*j - 8/11*j**3 + 1/11.
-(2*j - 1)**3/11
Let o = 978/91 + -2524/455. Find m such that 36/5*m**2 - 8*m**4 - 8/5*m**3 + o*m + 4/5 - 18/5*m**5 = 0.
-1, -2/9, 1
Determine o so that 77/8*o + 111/4 + 1/8*o**2 = 0.
-74, -3
Let l(u) be the first derivative of 3*u**5/25 - 3*u**4/5 - 3*u**3/5 + 21*u**2/5 - 24*u/5 + 2361. Factor l(f).
3*(f - 4)*(f - 1)**2*(f + 2)/5
Suppose -42*x - t = -41*x - 111, 5*x = 2*t + 541. Suppose -x = -5*z - 19. Find w such that -6*w - 1/2*w**2 - z = 0.
-6
Let b = -629 - -1949/3. Let h = 22 - b. Find w, given that h - 3/2*w**3 - 2/3*w**4 + 6*w + 7/3*w**2 = 0.
-2, -1/4, 2
Let t = 7 + -2. Let d(b) be the second derivative of -4/9*b**3 + 0 + 5/9*b**6 + 20*b + 5/6*b**t + 0*b**2 - 2/9*b**4. Suppose d(u) = 0. What is u?
-1, -2/5, 0, 2/5
Let v be (1/7*0)/(-2) - 8. Let w(t) = t**3 + 10*t**2 + 47*t + 252. Let r be w(v). Solve 0*y**r + y**3 - 1/2*y + 0 - 1/2*y**5 + 0*y**2 = 0 for y.
-1, 0, 1
Suppose 91*i + 86 = 95*i + 5*x, -2*x - 808 = -20*i. Suppose -i*s + 3/2*s**2 + 0 = 0. Calculate s.
0, 26
Let r(a) be the first derivative of -2*a**5/25 + a**4/10 + 6*a**3/5 + 11*a**2/5 + 8*a/5 - 686. Factor r(t).
-2*(t - 4)*(t + 1)**3/5
Let q(i) = 8*i**3 - 452*i**2 - 908*i - 98. Let v(h) = h**3 + h**2 + h + 36. Let f(l) = q(l) - 10*v(l). Factor f(p).
-2*(p + 1)**2*(p + 229)
Let y = -770819/2 - -5395741/14. What is m in -4/7*m**5 + 0 - 8/7*m**2 + 8/7*m**4 + 0*m + y*m**3 = 0?
-1, 0, 1, 2
Let y(h) = -118*h**2 - 1264*h - 2566. Let s(p) = 130*p**2 + 1263*p + 2567. Let i(d) = -10*s(d) - 11*y(d). Determine g so that i(g) = 0.
-2, 639
Let b = 1474 + -5863/4. Determine k so that 7*k + 1 - 1/2*k**3 + b*k**2 - 11/4*k**4 = 0.
-1, -2/11, 2
Let h(u) = -28. Let d(p) = -p + 28. Let b(j) = -3*d(j) - 2*h(j). Let y be b(10). Factor 2*x + 16*x - 5 - 18*x**3 - 3*x + 3*x**3 + 5*x**y.
-5*(x - 1)*(x + 1)*(3*x - 1)
Find l such that 1792 + 2351*l**2 + 4448*l + 2758*l**2 + 1496*l**3 - 4*l**5 + 196*l**4 - 1157*l**2 = 0.
-2, -1, 56
Let o be 5 - 819/231 - 30/(-55). Find y, given that 5*y**o + 144/5 + 24*y = 0.
-12/5
Let v = 11286 - 11283. Let a(x) be the third derivative of 0 - 1/300*x**6 - 1/30*x**4 - 1/50*x**5 + 4*x**2 + 4*x + 0*x**v. Let a(n) = 0. What is n?
-2, -1, 0
Let n(j) = 2*j**2 - 48*j + 1106. Let x(o) = 7*o**2 - 151*o + 3319. Let c(u) = -13*n(u) + 4*x(u). Let c(t) = 0. Calculate t.
-29, 19
Let r(s) be the first derivative of 5/2*s**2 + 1/4*s - 7/4*s**3 + 21. Suppose r(n) = 0. Calculate n.
-1/21, 1
Solve -230187/2 - 831*c - 3/2*c**2 = 0 for c.
-277
Determine j, given that -286/7 + 1142/7*j + 8/7*j**2 = 0.
-143, 1/4
Suppose -25*u = -22*u - 33. Let -33*a**2 - 6*a**4 + 27*a**5 - 16*a**3 - u*a**3 + 39*a**2 = 0. What is a?
-1, 0, 2/9, 1
Let j(x) be the first derivative of x**6/4 - 57*x**5/10 + 405*x**4/8 - 441*x**3/2 + 486*x**2 - 486*x - 410. Let j(s) = 0. What is s?
1, 3, 6
Let 0*m + 0 - 1868/13*m**3 + 2/13*m**4 + 436178/13*m**2 = 0. What is m?
0, 467
Let p = 100 - 96. Suppose -s + 2*s - 4*t - 9 = 0, 0 = -4*s + 5*t + 36. Determine u so that 12*u**5 + 0*u - u - 15*u**3 + 3*u + s*u**p + u - 9*u**2 = 0.
-1, 0, 1/4, 1
Let b(f) be the second derivative of 4/5*f**5 + 2/15*f**6 + 0*f**3 + f**4 + 0 + 0*f**2 + 20*f. Find l, given that b(l) = 0.
-3, -1, 0
Let c(x) = -2*x - 2. Let g(t) = -3*t**2 + 124*t - 953. Let a(p) = -4*c(p) + g(p). Solve a(d) = 0 for d.
9, 35
Let z(x) be the second derivative of x**8/4480 - x**7/840 + x**6/480 + 17*x**4/12 - 5*x**3/6 + x - 13. Let f(p) be the third derivative of z(p). Factor f(b).
3*b*(b - 1)**2/2
Let y(j) = -j + 51. Let k be y(50). Let n be (k - (3 + -2)) + 16/24. What is m in 0*m**2 - 2/9*m**3 + n*m - 4/9 = 0?
-2, 1
Let s be 12/(-21)*98/(-28). Let n be 14/63 - 25/(-9). Suppose -4*v**s - 2*v**2 + 0*v**3 + 2*v**n + 10*v**2 = 0. Calculate v.
-2, 0
Let r(j) be the first derivative of 49*j**6/2 + 147*j**5 + 291*j**4 + 176*j**3 - 48*j**2 - 48*j + 234. Solve r(w) = 0 for w.
-2, -1, -2/7, 2/7
Suppose 2*n - 20 = -62. Let x(w) = -w**3 - 22*w**2 - 22*w - 19. Let z be x(n). Factor 66*q**3 + 6*q**2 - 14*q**z + 4*q**2 - 98*q**4 - 24*q**3.
-2*q**2*(7*q - 2)*(7*q - 1)
Let i(k) = k**2 + 33*k + 37. Let r be i(-32). Let -r*s**2 + 41 - 28 - 140*s - 993 = 0. Calculate s.
-14
Let z(j) be the third derivative of -j**7/315 - 46*j**6/135 - 2759*j**5/270 + 961*j**4/54 + 17*j**2 + 3. Factor z(m).
-2*m*(m + 31)**2*(3*m - 2)/9
Let u(b) = 5*b**4 + 128*b**3 + 628*b**2 + 496*b + 6. Let g(r) = 9*r**4 + 258*r**3 + 1256*r**2 + 992*r + 10. Let o(s) = -3*g(s) + 5*u(s). Factor o(l).
-2*l*(l + 1)*(l + 4)*(l + 62)
What is f in 620490/7*f - 2232/7*f**2 + 2/7*f**3 + 1249924/7 = 0?
-2, 559
Let g(l) = -2*l**2 - 22*l - 13. Let k be g(-7). Determine v, given that k*v - 2*v**2 - v**2 - 28*v - 2*v**2 = 0.
0, 3
Let q(w) be the second derivative of 1/120*w**6 - 9/80*w**5 - 10*w + 0 + 0*w**3 - 5/24*w**4 + 0*w**2. Factor q(m).
m**2*(m - 10)*(m + 1)/4
Let q be 0 + 7/(-7) + 7. Let z(c) = -4*c**3 + c**2 + c + 11. Let v(u) = -17*u**3 + 5*u**2 + 3*u + 45. Let t(f) = q*v(f) - 26*z(f). Solve t(s) = 0.
-2, 2
Let j(c) be the second derivative of 30*c - 2 - 1/40*c**5 + 7/36*c**3 - 1/36*c**4 - 1/6*c**2. Determine q, given that j(q) = 0.
-2, 1/3, 1
Let p = 556287 - 556287. Factor p + 2/5*q**5 + 0*q + 6/5*q**3 + 2/5*q**2 + 6/5*q**4.
2*q**2*(q + 1)**3/5
Let k be (57/(-38))/(8/(336/(-15))). Let y be (62 - -2)/(80/24). What is m in -48/5 - 36/5*m**3 - k*m**4 + 144/5*m + y*m**2 = 0?
-2, 2/7, 2
Let n(a) be the first derivative of -3*a**4/20 - 2463*a**3/5 - 6066369*a**2/10 - 1660162983*a/5 + 562. Factor n(d).
-3*(d + 821)**3/5
Let y(x) be the first derivative of -8/9*x**3 - 91 - 5/6*x**2 - 1/12*x**4 + 50/3*x. Solve y(o) = 0.
-5, 2
Factor -14*g**3 - 9*g**2 + 16*g**4 - 87*g**2 + 4*g**5 + 2*g**3 + 24*g**2.
4*g**2*(g - 2)*(g + 3)**2
Suppose -44 = 4*q - 144. Factor -13 + 13 - q*u**2 - 15*u + 26*u**2.
u*(u - 15)
Let d(j) be the third derivative of -j**7/840 + j**6/360 + 2*j**3 + 85*j**2. Let q(z) be the first derivative of d(z). Let q(u) = 0. What is u?
0, 1
Suppose 25*n - 103 = -28. Let w = 4077 - 8145/2. Factor -2*b**n + b**2 + 6*b - 1/2*b**4 - w.
-(b - 1)**2*(b + 3)**2/2
Let h(p) be the first derivative of -p**3/12 + 8*p**2 + 345*p/4 + 4565. Factor h(u).
-(u - 69)*(u + 5)/4
Let o(y) be the first derivative of 3/5*y**2 - 53 + 4/5*y + 2/15*y**3. Factor o(f).
2*(f + 1)*(f + 2)/5
Let -7/2 - 15219*s**2 - 27436*s**4 - 799/2*s - 194218*s**3 = 0. Calculate s.
-7, -1/38
Let s(x) be the first derivative of 71 - 24*x + 33*x**2 - 21/4*x**4 + 23*x**3. Factor s(w).
-3*(w - 4)*(w + 1)*(7*w - 2)
Let k(y) = -20*y + 60. Let d be k(3). Let h(a) be the first derivative of 1/15*a**5 - 10 - 1/9*a**3 + d*a**4 + 0*a + 0*a**2. What is z in h(z) = 0?
-1, 0, 1
Let u(a) = -a**2 - 22*a + 5. Let z be u(-22). Suppose 2*h + 2*h + 12 = 0, 0 = -2*s + z*h + 19. Let 4*q + 7 + 7 + q**s - 10 = 0. Calculate q.
-2
Let z(c) be the first derivative of c**6/30 + 27*c**5/25 + 13*c**4/10 - 202. Suppose z(m) = 0. What is m?
-26, -1, 0
Let a(c) be the third derivative of -11/180*c**4 - 13/900*c**6 + 0 - 1/1575*c**7 - 23/450*c**5 + 18*c**2 + 0*c**3 + 6*c. Factor a(l).
-2*l*(l + 1)**2*(l + 11)/15
Let t = -164 - -151. Let h(q) = 3*q + 41. Let v be h(t). Factor -2/5*z**v - 2/5 - 4/5*z.
-2*(z + 1)**2/5
Let z(x) be the first derivative of -3*x**4/28 - 12*x**3/7 + 453*x**2/14 + 1026*x/7 + 748. Factor z(v).
-3*(v - 9)*(v + 2)*(v + 19)/7
Let o = -3826 + 11479/3. Determine a so that -4/3*a**2 + 4/3*a + o*a**3 + 0 = 0.
0, 2
Suppose 17*m - 