 4*a**5/5 - 3*a**4/2 + 80*a**2 - a. Factor p(m).
-3*m*(m - 2)*(m - 1)*(m + 6)
Let p(u) be the third derivative of 1/39*u**3 + 1/260*u**6 + 0*u - 1/52*u**4 - 9*u**2 - 1/390*u**5 + 0. Factor p(b).
2*(b - 1)*(b + 1)*(3*b - 1)/13
Let c(g) = 40*g**3 - 39*g**3 - 9*g + 10*g - g**4. Let h(v) = 2*v**4 - 18*v**3 + 28*v**2 - 10*v. Let b(n) = -2*c(n) + h(n). Factor b(y).
4*y*(y - 3)*(y - 1)**2
Let y(u) be the first derivative of -1/840*u**6 + 0*u**5 - 6 + 0*u**2 + 0*u**4 + 2*u**3 + 0*u. Let j(z) be the third derivative of y(z). Factor j(t).
-3*t**2/7
Let i(k) be the third derivative of k**9/9072 + k**8/5040 - k**7/1260 - 5*k**3/2 + k**2. Let g(f) be the first derivative of i(f). Let g(u) = 0. Calculate u.
-2, 0, 1
Suppose u = t + 3, 3*u + u = 3*t + 9. Let m(y) be the second derivative of u*y**2 - 6*y + 1/3*y**3 + 1/6*y**4 + 0. Factor m(a).
2*a*(a + 1)
Let p(a) = 65*a**2 - 145*a - 25. Let x(l) = 8*l**2 - 18*l - 3. Suppose 27*q = 24*q + 75. Let r(j) = q*x(j) - 3*p(j). Factor r(m).
5*m*(m - 3)
Let d(j) be the third derivative of -j**6/280 - j**5/14 - 3*j**4/8 - j**2 - 20. Let d(l) = 0. Calculate l.
-7, -3, 0
Let w = 26 - 25. Let f(i) = -2*i**4 - 3*i**3 + 4*i**2 + 4*i + 1. Let u(b) = b**4 + b**2 + b + 1. Let c(x) = w*f(x) - u(x). Solve c(o) = 0 for o.
-1, 0, 1
Let q(c) be the third derivative of c**6/216 + c**5/24 + 5*c**4/36 + c**3/6 - 20*c**2. Let b(z) be the first derivative of q(z). Let b(d) = 0. What is d?
-2, -1
Let h(x) be the second derivative of -x**4/42 - 244*x**3/21 - 14884*x**2/7 + 4*x + 4. What is f in h(f) = 0?
-122
Let i(w) be the second derivative of -1/5*w**5 + 8*w**2 + 5/3*w**4 + 0 - 16/3*w**3 - 28*w. Factor i(r).
-4*(r - 2)**2*(r - 1)
Let w = 76 + -72. Suppose -9*u**2 + 7*u**2 + w*u + u**2 - 1 - 6*u = 0. What is u?
-1
Let l be -180 - 3*(-14)/(-21). Let u = 184 + l. Factor 3/2*f - 3/2*f**u + 0.
-3*f*(f - 1)/2
Let l be 0 + ((-15)/5 - -7). Suppose -3*t - 4*b + 4 = 0, 0*t + l*b = t + 4. Find j, given that 0 - 2/3*j**4 + 0*j**2 + 4/3*j**3 + t*j = 0.
0, 2
Let a = -43 + 43. Suppose 2*t = -8 - 0, a = 4*l - 5*t - 32. Suppose 2/5*r**4 - 4/5*r + 4/5*r**l + 0 - 2/5*r**2 = 0. Calculate r.
-2, -1, 0, 1
Let c = 13 + -3. Suppose 14*g - 9*g = c. Let 2*d**3 + 1/2*d**4 + d + 5/2*d**g + 0 = 0. What is d?
-2, -1, 0
Let c(q) be the first derivative of -2*q**5/15 - q**4/2 + 4*q**2/3 - 174. Let c(w) = 0. Calculate w.
-2, 0, 1
Let u(x) be the third derivative of 7*x**2 + 0*x - 3/2*x**4 - 1/15*x**5 + 0 + 0*x**3. Factor u(k).
-4*k*(k + 9)
Let x = 422/455 + 14/65. Let v(p) be the first derivative of 0*p - 1/7*p**4 - 16/21*p**3 + 6 - x*p**2. Determine h, given that v(h) = 0.
-2, 0
Suppose -6*h = -5 - 19. Suppose 0 = 4*r + 16, -4*u + 2*r + 33 = u. Factor -2*q**2 + 2*q**3 - 2*q**u + 6*q**4 - q**4 - 3*q**h.
-2*q**2*(q - 1)**2*(q + 1)
Let q = 2275 + -1348. Let n = q + -4619/5. Factor 16/5*z - n*z**2 + 0 + 4/5*z**3.
4*z*(z - 2)**2/5
Suppose -5*r + 3*p - 9 = -11, -3*r + 2*p = 0. Determine x so that 2/13*x**r + 4/13*x**3 + 0 + 2/13*x**2 + 0*x = 0.
-1, 0
Let c(y) be the third derivative of y**5/48 + 5*y**4/12 - 55*y**3/8 - 158*y**2. Solve c(l) = 0.
-11, 3
Let u(b) be the second derivative of b**6/15 - 8*b**5/35 - 4*b**4/7 + 64*b**3/21 - 16*b**2/7 - 2*b - 43. Let u(m) = 0. What is m?
-2, 2/7, 2
Let b be 9/(-27) + 2/48*26. Let r(q) be the first derivative of -2*q**3 + 4 + 0*q + 0*q**2 - b*q**4. Factor r(u).
-3*u**2*(u + 2)
Factor -3*p**2 + 9*p**3 + 4*p - 19*p**3 + 9*p**3.
-p*(p - 1)*(p + 4)
Factor -204*g + 13688 + 2629 - 263*g + 10758 - 103*g + 3*g**2.
3*(g - 95)**2
Let c(v) be the second derivative of 19*v + 0 - 13/36*v**4 + 2/3*v**3 + 1/10*v**5 - 2/3*v**2 - 1/90*v**6. Solve c(x) = 0.
1, 2
Let m(v) be the first derivative of -5*v**4/32 - 41*v**3/12 - 2*v**2 + 53. Factor m(o).
-o*(o + 16)*(5*o + 2)/8
Let c(z) be the first derivative of z**8/588 - 2*z**7/49 + 5*z**6/14 - 25*z**5/21 + 4*z**2 - 2. Let i(x) be the second derivative of c(x). Factor i(r).
4*r**2*(r - 5)**3/7
Let n be (-9 - -10)/(2/4). Let j be ((-4)/(-10))/(n/30). Let p(o) = -32*o**2 + 6*o + 7. Let x(g) = -33*g**2 + 6*g + 6. Let t(l) = j*p(l) - 7*x(l). Factor t(b).
3*b*(13*b - 2)
Let h(s) be the third derivative of s**9/756 - s**8/210 + s**6/45 - s**5/30 + 3*s**3/2 - 16*s**2. Let z(p) be the first derivative of h(p). Factor z(x).
4*x*(x - 1)**3*(x + 1)
Let r(y) = 120*y + 962. Let v be r(-8). Factor -1/7*p**v - 36/7 - 12/7*p.
-(p + 6)**2/7
Let s(y) be the second derivative of 0*y**3 + 0*y**2 + 0*y**6 + 8*y + 0 + 2/21*y**7 + 0*y**4 + 0*y**5. Factor s(p).
4*p**5
Let r(u) = 78*u**2 - 3*u. Let s be r(-1). Let z = 81 - s. Let z - 1/2*l - l**3 + 3/2*l**5 - 2*l**2 + 2*l**4 = 0. What is l?
-1, -1/3, 0, 1
Let a(i) be the first derivative of i**9/9072 + i**8/1260 + i**7/504 + i**6/540 - 2*i**3/3 - i - 26. Let z(v) be the third derivative of a(v). Factor z(g).
g**2*(g + 1)**2*(g + 2)/3
Let f(d) be the first derivative of -2/3*d**3 - 23 + d**2 + 4*d. Suppose f(g) = 0. What is g?
-1, 2
Let g(h) be the first derivative of h**4/26 + 10*h**3/39 - 8*h**2/13 - 96*h/13 + 80. Factor g(x).
2*(x - 3)*(x + 4)**2/13
Let m(k) be the first derivative of k**6/80 + 2*k**2 + 4*k - 8. Let s(q) be the first derivative of m(q). Let g(i) be the first derivative of s(i). Factor g(x).
3*x**3/2
Let j = 571 - 571. Let b(k) be the third derivative of 0*k + 1/120*k**5 + 1/48*k**4 - 1/6*k**3 - 7*k**2 + j. Determine q, given that b(q) = 0.
-2, 1
Let x(k) be the first derivative of 2*k**3/3 - 38*k**2 + 722*k + 154. Determine q so that x(q) = 0.
19
Find x, given that -100/13*x**3 + 0 + 70/13*x**4 + 28/13*x - 10/13*x**2 + 12/13*x**5 = 0.
-7, -1/2, 0, 2/3, 1
Let z(u) be the first derivative of -2*u**3/3 + 6*u**2 + 54*u + 30. Factor z(b).
-2*(b - 9)*(b + 3)
Let f(i) be the first derivative of -2*i**5/15 + i**4/6 + 8*i**3/9 - 4*i**2/3 + 386. Solve f(p) = 0 for p.
-2, 0, 1, 2
Factor -5*m**5 + 4*m**5 - 14*m**3 - 51*m**3 + 30*m**2 + 40*m**4 - 4*m**5.
-5*m**2*(m - 6)*(m - 1)**2
Solve -171/7*l - 174/7 + 3/7*l**2 = 0 for l.
-1, 58
Let a be (-18 - -19) + (-49)/78. Let c = -1/26 + a. Factor -2/3*w**3 + c*w + 0*w**4 + 1/3*w**5 + 0*w**2 + 0.
w*(w - 1)**2*(w + 1)**2/3
Let p be (1 - 2)*(0 - 1) + 2. Factor -g**2 - 1/3*g**4 + 0*g - 4/3*g**p + 0.
-g**2*(g + 1)*(g + 3)/3
Let m be (-45)/150 + (6 - 805/150). Factor -1/2*n**2 + 1/6 + m*n.
-(n - 1)*(3*n + 1)/6
Factor 2*r**2 + 6234 + 31086 + 748*r + 32618.
2*(r + 187)**2
Let t be 0 + (0 - (-34)/(-12)). Let h = t + 91/30. Solve 2/5*s + 1/5*s**4 + 0*s**2 - h - 2/5*s**3 = 0 for s.
-1, 1
Let u = -259631/108 - -2404. Let q(r) be the second derivative of -9*r - 2/9*r**2 + u*r**4 + 0 + 0*r**3. Determine y so that q(y) = 0.
-2, 2
Let g(x) be the third derivative of -x**8/36960 + x**7/1320 + x**5/30 - 26*x**2. Let o(m) be the third derivative of g(m). Find l such that o(l) = 0.
0, 7
Solve 3/2*s**5 - 9/2*s**4 - 12 + 9*s - 21/2*s**3 + 33/2*s**2 = 0 for s.
-2, -1, 1, 4
Let w(r) = -4*r**4 + 198*r**3 - 2603*r**2 + 11033*r - 14407. Let p(j) = 2*j**4 - 98*j**3 + 1301*j**2 - 5517*j + 7203. Let i(u) = 14*p(u) + 6*w(u). Factor i(t).
4*(t - 20)**2*(t - 3)**2
Let j be (10 + -2)*14*(-1)/4. Let r be (1/20)/((-7)/j). Factor 0*v**2 + 2/5*v**3 + 0*v**4 + 0 - 1/5*v - r*v**5.
-v*(v - 1)**2*(v + 1)**2/5
Let c(i) be the second derivative of -5/6*i**3 - 5/12*i**4 - 6*i + 5/2*i**2 + 1/4*i**5 + 0. Solve c(t) = 0.
-1, 1
Let c(o) be the first derivative of o**3/9 - 3*o**2/2 + 6*o - 95. Determine h, given that c(h) = 0.
3, 6
Let r = 2773/4 + -692. Let x(s) be the first derivative of r*s**3 + 0*s - 3/4*s**2 + 5. Determine n so that x(n) = 0.
0, 2/5
Let c be (-34)/(-6) - 1/(-3). Determine q, given that -c*q**4 + 16*q**3 + 12*q - 27*q**2 - 4*q**4 + 7*q**4 + 2*q**3 = 0.
0, 1, 4
Let 363*r + 69*r + 84*r**2 - 486 + 70*r**4 - 68*r**4 - 32*r**3 = 0. What is r?
-3, 1, 9
Let x(d) be the first derivative of 8/7*d**2 + 1/7*d**4 + 0*d - 16/21*d**3 - 7. Factor x(n).
4*n*(n - 2)**2/7
Let l(w) = w**3 + 9*w**2 + 7. Suppose 0*q = -c - 3*q + 13, -c - 4*q = -17. Let p = -3 + -2. Let d(v) = v**2 - v + 1. Let r(f) = c*l(f) + p*d(f). Factor r(x).
(x + 1)**2*(x + 2)
Let o = 418 + -835/2. Let m(z) be the second derivative of -21/100*z**5 + 3*z - o*z**3 - 1/5*z**2 + 0 - 17/30*z**4. Determine u so that m(u) = 0.
-1, -1/3, -2/7
Let w(i) be the third derivative of -49*i**6/40 - 5*i**5 - i**4/2 -