rst derivative of -28*c - 1/2*c**4 + 12 + 16/3*c**3 - 5*c**2. Let p(t) = 0. Calculate t.
-1, 2, 7
Let u = -231768/5 + 695314/15. Factor u*n**3 + 82/3*n - 44/3*n**2 - 40/3.
2*(n - 20)*(n - 1)**2/3
Let s(z) = 19*z**2 - 5 + 44160*z - 4*z**2 - 44167*z. Let n(d) = 0*d**2 + d**2 - d - 2 + 3. Let o(m) = -3*n(m) + s(m). Factor o(r).
4*(r - 1)*(3*r + 2)
Let n(d) be the third derivative of -d**7/70 - 3*d**6/5 - 113*d**5/20 - 45*d**4/4 - 9*d**2 + 119. Factor n(c).
-3*c*(c + 1)*(c + 5)*(c + 18)
Let l be 10/(-125) + 28737/150. Let b = 193 - l. Factor -3/2*a**2 - 3/2*a**3 + 3/2*a + b.
-3*(a - 1)*(a + 1)**2/2
Let d = 5337/32026 - -1/48039. What is m in 1/3*m**4 + d*m**3 - 1/6*m**5 + 0*m - 1/3*m**2 + 0 = 0?
-1, 0, 1, 2
Suppose -7*r - 30 = 40. Let o be r/115 - (5894/(-1127) - -5). Suppose 6/7 - o*m**2 + 1/7*m = 0. What is m?
-2, 3
Let g = 386963/5 - 78038. Let p = g - -647. Suppose p*b**2 + 32/5*b + 2/15*b**3 + 128/15 = 0. Calculate b.
-4
Let k(q) be the first derivative of 12*q**2 + 5*q**3 + 3/4*q**4 + 12*q - 34. Factor k(i).
3*(i + 1)*(i + 2)**2
Let p = -3403/5 - -6831/10. Let l be (-2)/6*(-1 - 5). Factor -p*u - 2 - 1/2*u**l.
-(u + 1)*(u + 4)/2
Let p(c) be the second derivative of -7*c**6/165 - 23*c**5/110 - 8*c**4/33 - 2*c + 3395. Factor p(v).
-2*v**2*(v + 1)*(7*v + 16)/11
Let i = 13724/2885 + 948/577. Factor -2/5*j**2 + i*j - 128/5.
-2*(j - 8)**2/5
Let f(d) = 2*d**3 + 4*d**2 + d + 1. Let i be 32/24*((-1)/2 - 1). Let m(w) = w**2 - 1 - 2 + w**3 + 4 - w. Let p(j) = i*m(j) + 2*f(j). Factor p(b).
2*b*(b + 1)*(b + 2)
Suppose 3*n**5 - 69*n**2 - 74*n**2 + 63*n - 18*n**3 + 113*n**2 + 9*n**4 - 27 = 0. Calculate n.
-3, 1
Let n(v) be the third derivative of v**6/24 + 53*v**5/6 - 3585*v**4/8 + 8370*v**3 + 2534*v**2. Suppose n(g) = 0. Calculate g.
-124, 9
Let h(r) = -r**3 + 5*r**2 - 10*r. Let a(n) = n**3 - 5*n**2 + 11*n. Let g = 8 + -8. Suppose g*d + 36 = 6*d. Let y(m) = d*a(m) + 7*h(m). Factor y(c).
-c*(c - 4)*(c - 1)
Solve 0*j + 7*j**2 - 6996*j**4 + 6*j + 0*j**2 - j**5 + 3*j**3 + 6993*j**4 + 4*j**2 = 0.
-3, -1, 0, 2
Let o(l) = -l**2 - 2*l - 1. Let n(i) = -6*i**2 + 25*i + 151. Let j(m) = -n(m) + 5*o(m). Find p, given that j(p) = 0.
-4, 39
Let s(z) be the second derivative of -z**5/140 + 59*z**4/7 - 27848*z**3/7 + 6572128*z**2/7 + 537*z. Find m, given that s(m) = 0.
236
Let f(x) be the second derivative of -x**7/126 - 43*x**6/30 - 839*x**5/10 - 28705*x**4/18 - 85975*x**3/6 - 135375*x**2/2 - 6*x + 254. Factor f(d).
-(d + 5)**3*(d + 57)**2/3
Let p(r) be the first derivative of 2/3*r**2 - 2/9*r**3 + 1 - 3*r + 1/36*r**4. Let k(g) be the first derivative of p(g). Factor k(i).
(i - 2)**2/3
Suppose -7*i = -2*i - 0*i. Let w(y) be the third derivative of 0*y**3 + 0*y**7 + 2*y**2 + 0 + 0*y**4 + 0*y**5 + i*y - 1/360*y**6 + 1/1008*y**8. Factor w(g).
g**3*(g - 1)*(g + 1)/3
Let r = 907728/5 + -179574. Let i = r + -1962. Suppose 8/5 - 34/5*t**3 + 16/5*t**5 + 58/5*t**2 + i*t - 36/5*t**4 = 0. Calculate t.
-1, -1/2, -1/4, 2
Factor 2373*b**2 + 2317*b**2 - 128*b - 4694*b**2 - 880.
-4*(b + 10)*(b + 22)
Let a(s) be the third derivative of -s**6/180 + 13*s**5/30 - 4*s**4 + 140*s**3/9 + 87*s**2 - 11*s. Solve a(q) = 0 for q.
2, 35
Let b = -309 + 234. Let y be (-3)/12 - (b/(-36) + -3). Factor -y*k**4 + 0*k + 0 + 0*k**2 + 1/3*k**5 + 0*k**3.
k**4*(k - 2)/3
Let m(t) be the first derivative of 3*t**5/5 + 10*t**4 + 13*t**3/3 + 74. Factor m(u).
u**2*(u + 13)*(3*u + 1)
Let p(r) = -29*r**2 + 350*r + 1579. Let c(q) = 208*q**2 - 2444*q - 11052. Let o(k) = -5*c(k) - 36*p(k). Determine h, given that o(h) = 0.
-4, 99
Let l(z) be the second derivative of -4802*z**2 - 4/5*z**5 - 2 + 60*z - 131*z**4 - 6468*z**3. Factor l(n).
-4*(n + 49)**2*(4*n + 1)
Factor 0 - 6*f + 1/2*f**2.
f*(f - 12)/2
Determine f so that 5/6*f + 1/6*f**2 + 2/3 = 0.
-4, -1
Let y = -430468 - -430472. What is j in 0 + 1/4*j**5 - 5/4*j + 3/2*j**y + j**3 - 3/2*j**2 = 0?
-5, -1, 0, 1
Suppose 23 - 30 = -t. Factor 60*z**3 - 2*z**4 - 140*z**3 + t*z**4 + 60*z**3 + 20*z**2.
5*z**2*(z - 2)**2
Factor 58*h - 50 - 38/5*h**2 - 2/5*h**3.
-2*(h - 5)*(h - 1)*(h + 25)/5
Factor -1735 - 849*p + 1660*p - 1745*p**2 + 5*p**3 + 2403*p + 938*p - 677*p.
5*(p - 347)*(p - 1)**2
Find f, given that -176/5 - 36/5*f - 2/5*f**4 + 36/5*f**3 + 178/5*f**2 = 0.
-4, -1, 1, 22
Let v(s) be the first derivative of -s**7/840 + s**6/480 - s**2/2 + 22*s - 4. Let u(b) be the second derivative of v(b). Determine h so that u(h) = 0.
0, 1
Let p(u) be the first derivative of u**5/210 + 19*u**4/21 + 1444*u**3/21 - 39*u**2/2 + 47. Let s(n) be the second derivative of p(n). What is l in s(l) = 0?
-38
Let v(u) be the second derivative of -u**7/70 + 3*u**6/5 - 999*u**5/100 + 413*u**4/5 - 1746*u**3/5 + 3888*u**2/5 + 6*u + 58. Determine c so that v(c) = 0.
2, 8, 9
Let p(l) be the first derivative of -19/3*l**2 - 361/3*l - 16 - 1/9*l**3. Factor p(t).
-(t + 19)**2/3
Let d(r) be the third derivative of -9/28*r**4 + 1/735*r**7 + 0 + 0*r**3 + 0*r + 74*r**2 + 1/140*r**6 - 3/70*r**5. Find u, given that d(u) = 0.
-3, 0, 3
Let k(c) be the second derivative of c**4/12 + 21*c**3/2 - 65*c**2 + 103*c + 8. Factor k(r).
(r - 2)*(r + 65)
Let h = -568961/115 + 4948. Let r = 21/23 - h. Let r - 41/5*m**3 + 39/5*m**2 + 3*m**4 - 3*m = 0. What is m?
1/3, 2/5, 1
Let h(y) be the first derivative of -4*y**5/5 + 33*y**4 - 288*y**3 + 800*y**2 - 336. Suppose h(w) = 0. Calculate w.
0, 4, 25
Let w(j) be the second derivative of -j**5/70 - 998*j**4/21 + j**3/21 + 1996*j**2/7 - 5671*j. Determine o so that w(o) = 0.
-1996, -1, 1
Find c such that -1/4*c**2 + 35/4 - 17/2*c = 0.
-35, 1
Let d(v) be the third derivative of -v**7/42 - 3*v**6/8 - v**5/4 + 185*v**4/24 - 20*v**3 - 301*v**2. What is u in d(u) = 0?
-8, -3, 1
Factor -439/6*o**2 - 53/6*o**4 - 169/3*o - 1/6*o**5 - 83/2*o**3 - 16.
-(o + 1)**3*(o + 2)*(o + 48)/6
Let p(j) = j**2 - 33*j - 5*j**2 + 5*j**3 - j**2 + 21*j. Let f(m) = 135*m**3 - 135*m**2 - 325*m. Let v(x) = -2*f(x) + 55*p(x). Factor v(i).
5*i*(i - 2)*(i + 1)
Factor -148*z**2 + 16*z**4 - 382*z - 600*z**3 - 7*z**4 + 1357*z**2 - 224*z - 12*z**4.
-3*z*(z - 1)**2*(z + 202)
Suppose -2*d + 8 = -2*t, 572*d = 575*d - 12. Let k(w) be the first derivative of -4*w**4 + t*w + 20/3*w**3 + 4*w**2 - 12/5*w**5 + 16. Factor k(v).
-4*v*(v - 1)*(v + 2)*(3*v + 1)
Let o be (4 + 3 + -2 + -5)*3/9. Let l(n) be the third derivative of 1/16*n**4 + 9*n**2 + o*n**3 + 0*n + 0 - 1/120*n**5. Solve l(v) = 0.
0, 3
Let b(r) = 176*r**3 - 1132*r**2 + 11396*r - 33488. Let q(d) = 19*d**3 - 126*d**2 + 1266*d - 3721. Let n(i) = 3*b(i) - 28*q(i). Factor n(t).
-4*(t - 19)*(t - 7)**2
Let s be (65/5 - -5) + -3. Solve 14*r**2 - 3*r**2 + s*r**3 - 15*r + 0*r - 13*r**4 + 2 = 0 for r.
-1, 2/13, 1
Let n be (((-3)/(-2))/((-3102)/(-376)))/(-2 - -3). Factor -10/11*j**2 - n*j**3 - 6/11*j + 18/11.
-2*(j - 1)*(j + 3)**2/11
Find t, given that -53763*t - 320 - 102616*t - 135982*t - 63079*t - 14548377786*t**3 - 1693460419*t**3 - 131601660*t**2 = 0.
-4/1481
Let y(v) be the second derivative of -v**4/54 - 5*v**3/27 - 4*v**2/9 - 2*v + 53. Find j such that y(j) = 0.
-4, -1
Let p(u) be the first derivative of -u**4/2 + 52*u**3/3 + 33*u**2 - 324*u - 4159. Determine k so that p(k) = 0.
-3, 2, 27
Suppose 4*j = 5*h - 1 + 23, -5*j - h + 13 = 0. Suppose j*y - 18 = -5*s, 5*s - 2*y - 20 = -7*y. Factor -17*f + 4*f**2 - s*f**2 + 16*f.
f*(f - 1)
Let o be 7594 + 2 + (210/7)/(-5). What is c in -111*c**2 + 249*c**2 - 14*c**3 + 510*c**2 - o*c + 2116 = 0?
2/7, 23
Let r(a) be the third derivative of -a**6/360 + 133*a**5/180 + a**4/72 - 133*a**3/18 + 1543*a**2. Factor r(i).
-(i - 133)*(i - 1)*(i + 1)/3
Let a(r) be the first derivative of 3*r**5/5 + 3*r**4/4 - 8*r**3 - 18*r**2 + 3150. Factor a(l).
3*l*(l - 3)*(l + 2)**2
Let y(f) be the third derivative of -f**5/45 - 188*f**4/9 + 4*f**2 + 17*f + 4. Suppose y(p) = 0. Calculate p.
-376, 0
Suppose 25*y = 7*y + 126. Factor 39*o**2 + 652 + 3*o**3 + y*o**2 + 74 + 495*o + 26*o**2.
3*(o + 2)*(o + 11)**2
Let l(o) = 17*o + 273. Let q be l(-16). Let g(n) = -5*n**3 - 27*n**2 - 24*n + 2. Let m(y) = -y**3 + 1. Let v(z) = q*g(z) + 2*m(z). Solve v(u) = 0.
-2, 1/7
Let o(w) be the third derivative of -w**6/30 + 4*w**5/15 + w**4/2 - 12*w**3 + 686*w**2. Solve o(u) = 0.
-2, 3
Let k(s) be the second derivative of s**8/2520 - s**7/756 + s**6/1080 - 2*s**4 - 3*s**2/2 - 1