+ 101*a - 90*a**2.
-3*(a - 9)*(a - 1)**3
Let k(p) = -4*p + 4*p - p - 3*p + 1 + 3*p. Let f(z) = 5*z**2 + 76*z + 144. Let g(i) = -f(i) + 4*k(i). Let g(b) = 0. What is b?
-14, -2
Factor 13448*i - 19*i**4 - 4*i**5 + 175*i**4 + 24*i**5 - 18*i**5 - 12792*i**2 + 2714*i**3.
2*i*(i - 2)**2*(i + 41)**2
Factor 277716*b**3 - 18*b**2 + 20 - 6 - 277713*b**3 + 10 - 12*b + 3*b**4.
3*(b - 2)*(b - 1)*(b + 2)**2
Suppose 4*p = -52 + 24. Let x(u) = 16*u**3 + 229*u**2 + 2187*u + 6568. Let z(c) = -11*c**3 - 152*c**2 - 1458*c - 4379. Let g(r) = p*z(r) - 5*x(r). Factor g(w).
-3*(w + 9)**3
Let k(i) be the first derivative of 7/2*i**3 - 1/4*i**4 + 0*i**2 + 24*i + 6. Let b(y) be the first derivative of k(y). Find m, given that b(m) = 0.
0, 7
Let o = 193 + -183. Factor -9*p**2 + p - 5*p**3 + o*p**3 - 6*p + 15 - 6*p**2.
5*(p - 3)*(p - 1)*(p + 1)
Let h(z) = 2*z**3 + z - 1. Let g(d) = 6*d**3 + 339*d**2 - 819*d + 132. Let x(o) = g(o) + 6*h(o). Factor x(j).
3*(j - 2)*(j + 21)*(6*j - 1)
Suppose 5*j + 20 = 5, 3 = 3*h - 3*j. Let a be 0*(7 + h)/(-25). Factor -1/2*l + a - 1/4*l**2.
-l*(l + 2)/4
Let f = -42/13429 + 40497/67145. Let 3*s + 0 + 21/5*s**3 - f*s**4 - 33/5*s**2 = 0. Calculate s.
0, 1, 5
Let g(o) = -2*o**2 + 12*o - 28. Let j be g(10). Let m be (-4)/9*j/24. Factor -4/9*w + 0 + 2/9*w**m.
2*w*(w - 2)/9
Let v(s) = 4*s**2 - s - 3. Let g(d) = d**2 - 577*d - 3. Let u(j) = g(j) - v(j). Suppose u(z) = 0. Calculate z.
-192, 0
Let q(d) be the second derivative of 5 - 5/18*d**3 + 1/72*d**4 - 4*d + 0*d**2. Solve q(a) = 0.
0, 10
Let t(o) be the third derivative of o**5/36 - 185*o**4/24 - 280*o**3/9 + 674*o**2. What is g in t(g) = 0?
-1, 112
Suppose 2*z = 4*d - 56, -14*z - 45 = -3*d - 11*z. Let l be -7 - ((-195)/2)/d. Factor q - l*q**2 - 1/2.
-(q - 1)**2/2
Let p = 48 + -20. Let f be (3 + 9)*(-2 - p/(-12)). Find v such that 0*v - 136/5*v**3 - 16/5*v**2 + 0 - 294/5*v**5 - 364/5*v**f = 0.
-2/3, -2/7, 0
Let t(k) be the first derivative of k**5/10 + k**4/2 + k**3/2 - k**2 - 2*k + 1622. Factor t(l).
(l - 1)*(l + 1)*(l + 2)**2/2
Suppose 10*o - 20*o - 2580 = 0. Let l = 260 + o. Solve -i**5 + 0*i**3 + 0*i + 0*i**l - 2/3*i**4 + 0 = 0.
-2/3, 0
Let q be (-154)/(-132) + -1 + -1 - (-13334)/9492. Factor -q - 6/7*g - 2/7*g**2.
-2*(g + 1)*(g + 2)/7
Let c(l) be the second derivative of -56/3*l**3 + l + 24*l**2 - 2/15*l**6 + 19/3*l**4 + 48 - 2/5*l**5. Factor c(v).
-4*(v - 2)*(v - 1)**2*(v + 6)
Let g(k) be the second derivative of -3*k - 1 + 8/3*k**2 + 4/9*k**3 + 1/36*k**4. Determine o, given that g(o) = 0.
-4
Let p(v) be the third derivative of v**6/540 + 11*v**5/45 + 35*v**4/4 - 4900*v**3/27 - 2*v**2 - 359*v + 1. Solve p(w) = 0.
-35, 4
Let q(a) be the third derivative of -a**6/340 + 52*a**5/51 - 7453*a**4/68 - 5046*a**3/17 - 6*a**2 + 31*a + 2. Factor q(v).
-2*(v - 87)**2*(3*v + 2)/17
Let r(a) be the first derivative of 4*a**5/25 - 122*a**4/5 + 4448*a**3/5 + 47104*a**2/5 + 131072*a/5 - 6443. Find i, given that r(i) = 0.
-4, -2, 64
Suppose 6*x = 3*x, -2*n + 5*x + 58 = 0. Suppose 52 = 27*q - n. Factor 0*c - 3/2*c**q + 0 + 3*c**2.
-3*c**2*(c - 2)/2
Let c(s) be the second derivative of s**6/10 + 9*s**5/2 + 27*s**4 + 52*s**3 - 2*s - 62. Find i such that c(i) = 0.
-26, -2, 0
Suppose 2*u = 5*g - 14, -g = 2*u + 2 - 0. Solve 25 + 24*a**3 - 20*a**g - 4*a**3 - 19*a - 5*a**4 - 11*a + 10*a**3 = 0 for a.
-1, 1, 5
Let f(a) be the first derivative of -a**4/3 + 16*a**3 + 50*a**2 + 152*a/3 + 65. Determine d so that f(d) = 0.
-1, 38
Let n(a) be the first derivative of -a**4/20 - 14*a**3/5 + 158*a + 52. Let w(r) be the first derivative of n(r). Find k such that w(k) = 0.
-28, 0
Determine x so that -3/2*x**3 + 96*x + 39/2*x**2 + 102 = 0.
-2, 17
Let o be (-585)/(-27)*(-102)/595 + 12. Find q such that 60/7 - 62/7*q**3 - 2/7*q**4 + 62/7*q - o*q**2 = 0.
-30, -1, 1
Let p = -17021 - -17024. Let t(o) be the first derivative of 1/5*o**p + 0*o**2 - 12/5*o - 5. What is d in t(d) = 0?
-2, 2
Suppose 2*s + o = 0, -o = -5*s + 4*o. Let v(n) = 15*n + 2. Let m be v(s). Find t such that 0 + 9/7*t**m - 27/7*t**3 + 3/7*t + 15/7*t**4 = 0.
-1/5, 0, 1
Let h(v) = -393*v - 772. Let b be h(-2). Let i(k) be the second derivative of b*k - 15*k**2 - 2*k**4 + 3/20*k**5 + 17/2*k**3 + 0. Find m such that i(m) = 0.
1, 2, 5
Let q be (315 - 297) + -3 + -13. Let 66/5 - 1/5*p**q - 13*p = 0. Calculate p.
-66, 1
Factor 5*u**3 - 24*u + u + 161*u - 160*u**2 - u**3 + 456 + 154*u.
4*(u - 38)*(u - 3)*(u + 1)
Factor 222/7*a - 3/7*a**2 - 1035/7.
-3*(a - 69)*(a - 5)/7
Let y(c) = 30*c**2 + 306*c + 339. Let o(u) = 64*u**2 + 610*u + 681. Let b(m) = -14*o(m) + 30*y(m). Solve b(n) = 0 for n.
-159, -1
Let p = 185885/371754 + -4/185877. Suppose 2*h + 0*h = 6. Factor p*q**2 + 1/2*q - 1/2*q**h - 1/2.
-(q - 1)**2*(q + 1)/2
Suppose -30*u + 12054 = -396. Let g = u - 413. Solve 4/7*y**g - 2/7*y - 4/7 + 2/7*y**3 = 0.
-2, -1, 1
Let p(z) be the first derivative of 2*z**4/3 + 64*z**3/9 + 29*z**2/3 + 14*z/3 + 349. Let p(s) = 0. Calculate s.
-7, -1/2
Let g(o) be the third derivative of 11/32*o**4 + 1/8*o**5 + 0*o + 60*o**2 - 1/160*o**6 + 0*o**3 + 0. Factor g(h).
-3*h*(h - 11)*(h + 1)/4
Let z(j) be the second derivative of -j**5/10 - 19*j**4 - 755*j**3/3 - 642*j**2 - 4115*j. Solve z(u) = 0 for u.
-107, -6, -1
Let c(t) = -2*t**3 - 6*t**2 + 43*t + 143. Let s be c(-4). Factor 15/4*z**2 + 3/8 + 3/8*z**5 + 15/8*z**4 + 15/4*z**s + 15/8*z.
3*(z + 1)**5/8
Suppose 11*g - 6*g - 95 = 0. Factor 4 - g*d + 6*d + 5*d + 4*d**2.
4*(d - 1)**2
Solve 2/5*x**5 + 0*x + 0 - 42/5*x**3 - 52/15*x**2 - 68/15*x**4 = 0.
-1, -2/3, 0, 13
Let q(l) be the first derivative of l**4 - 1420*l**3/21 - 2472*l**2/7 - 1296*l/7 + 1685. Suppose q(a) = 0. Calculate a.
-3, -2/7, 54
Let y = 139487 - 139483. Suppose -8/3*f + 0 + 8/3*f**2 - 8/3*f**y + 2/3*f**5 + 2*f**3 = 0. Calculate f.
-1, 0, 1, 2
Let b(h) = 111*h**2 + 5124*h + 312549. Let a(o) = 15*o**2 + 732*o + 44650. Let y(s) = -15*a(s) + 2*b(s). Find u, given that y(u) = 0.
-122
Let o(f) be the first derivative of -f**6/480 + f**5/60 - f**4/24 - 54*f**2 + 22. Let m(d) be the second derivative of o(d). Factor m(p).
-p*(p - 2)**2/4
Let s(n) = -270*n**2 - 4525*n - 6580. Let j(g) = -23*g**2 - 377*g - 548. Let c(q) = 25*j(q) - 2*s(q). Determine w, given that c(w) = 0.
-9, -12/7
Factor -3*f**3 - 73*f**2 + 1566*f + 161*f + 20*f - 155*f**2 + 221*f - 4032.
-3*(f - 4)**2*(f + 84)
Let r(b) be the second derivative of 0*b**2 + 3 + 1/2*b**4 + 7*b - 53/6*b**3 - 1/90*b**6 - 1/15*b**5. Let o(t) be the second derivative of r(t). Factor o(f).
-4*(f - 1)*(f + 3)
Find h, given that -2/11*h**5 + 82944/11*h**2 - 373248/11*h + 192/11*h**4 - 576*h**3 + 0 = 0.
0, 12, 36
Let g(r) = -2*r**2 - 19*r + 1. Let t = -81 - -74. Let y be g(t). Find f, given that 35*f**3 + 4*f - y*f**2 + 9*f**3 - 11*f**4 + 4 - 5*f**4 = 0.
-1/4, 1
Let s = -209/7 - -1052/35. Let l(f) be the second derivative of 0*f**3 - 5/3*f**4 + 0*f**2 - s*f**5 + 13*f + 0. Solve l(c) = 0.
-5, 0
Suppose 4*z + 13*k - 30*k - 64 = 0, -6*z + 206 = 2*k. Solve -9/4 + 16*g + z*g**3 - 71/2*g**2 + g**5 - 49/4*g**4 = 0.
1/4, 1, 9
Let o(j) = -4*j**2 + 25*j - 54. Let h(t) = t**2 - 6*t - 6. Let b(m) = 20*h(m) + 4*o(m). Factor b(k).
4*(k - 12)*(k + 7)
Let f be (18/(-27) + 1)/((-2)/(-30)). Let k(y) be the second derivative of -6*y + 15/4*y**f - 6*y**2 + 12*y**3 - 45/4*y**4 + 0. Solve k(s) = 0.
2/5, 1
Suppose 8*a - 23*a + 14330 = 87*a + 14126. Suppose 9/2 - 7/4*r**3 - 75/4*r + 11*r**a = 0. What is r?
2/7, 3
Let m(h) be the third derivative of 143/24*h**4 + 1/120*h**6 - 99*h**2 - 5/12*h**5 + 169/6*h**3 + 0*h + 0. Factor m(y).
(y - 13)**2*(y + 1)
Suppose 0 = -a + c, 4*a - c = -4*c + 14. Let f be (32/(-24))/(a + (-16)/6). Factor 31*d**2 - 11*d**3 + 12*d + 38*d**3 - 67*d**f.
3*d*(3*d - 2)**2
Let l be -2 + 6 + (-4437)/21. Let y = -207 - l. Find t such that 3/7*t + 1/7*t**2 + 1/7*t**4 - 3/7*t**3 - y = 0.
-1, 1, 2
Let d(g) be the first derivative of -g**3/3 - 488*g**2 + 977*g + 924. What is w in d(w) = 0?
-977, 1
Let g(z) be the first derivative of z**3/3 - 4*z + 208. Factor g(m).
(m - 2)*(m + 2)
Let g(q) = -20*q**2 + 60*q - 80. Let l(c) be the first derivative of 13*c**3/3 - 20*c**2 + 53*c + 25. Let v(n) = 5*g(n) + 8*l(n). Factor v(w).
4*(w - 3)*(w - 2)
Let x = 1470522 - 5881833/4. Factor x*z**2 + 1/4*z**3 + 614125/4 + 21675/4*z.
(z + 85)**3/4
Let p(s) be the third deri