 = 8*b - 20*b. Let h(q) be the third derivative of 2*q**2 + b*q + 0 - 2/15*q**5 - 1/6*q**4 + 2/3*q**3. Suppose h(g) = 0. What is g?
-1, 1/2
Let o(w) be the second derivative of w**5/50 - w**4/30 - 24*w**3/5 + 365*w + 2. Factor o(a).
2*a*(a - 9)*(a + 8)/5
Let i(r) be the third derivative of r**7/1155 - 13*r**6/66 + 355*r**5/22 - 1625*r**4/3 + 27500*r**3/3 + 8396*r**2. Factor i(n).
2*(n - 55)**2*(n - 10)**2/11
Suppose -44*f - 51*f = -12*f. Let i(d) be the second derivative of 0*d**3 - 8*d + 0*d**2 + 0*d**4 - 3/20*d**5 + f. Find v, given that i(v) = 0.
0
Suppose -3*s - 3*q + 24 = 0, -5*s + 2*q = -0*q - 26. Suppose 5*x + s = 8*x. Factor -4*m**x - m - 6 + 1 + 13 - 3*m.
-4*(m - 1)*(m + 2)
Factor 1/4*f**2 - 123/4*f + 0.
f*(f - 123)/4
Let a be ((-13825)/1185)/((-49)/6). Let 0 + 18/7*h - a*h**3 + 6/7*h**2 + 2/7*h**4 = 0. Calculate h.
-1, 0, 3
Let h(i) = 11*i + 33. Let c be h(-3). Suppose 5*x = -c*x - x. Find k, given that 7/3*k**3 + 4/3*k - 16/3*k**2 + x = 0.
0, 2/7, 2
Let h(v) be the first derivative of -5/3*v**3 + 1/4*v**4 - 65 + 0*v - 3*v**2. Let h(r) = 0. Calculate r.
-1, 0, 6
Let z(k) be the third derivative of 7*k**7/15 - 7*k**6/12 - 13*k**5/30 - k**4/12 - 1103*k**2. Factor z(x).
2*x*(x - 1)*(7*x + 1)**2
Let w = 2108521/7 + -301217. Find y, given that 8*y**5 - 8/7*y - 236/7*y**2 + w*y**3 + 16/7 + 170/7*y**4 = 0.
-2, -2/7, 1/4, 1
Let d(i) = -i**3 - 5*i**2 - 4*i - 6. Let c be d(-4). Let s = 12 + c. Factor z + 16*z**2 + z**2 - s*z - 7*z**2 - 5.
5*(z - 1)*(2*z + 1)
Let o(c) be the first derivative of c**6/6 + 32*c**5 - 817*c**4/4 + 1316*c**3/3 - 330*c**2 - 10674. Let o(q) = 0. What is q?
-165, 0, 1, 2
Suppose 3*i = 1672*k - 1674*k + 21, -3*i - k = -15. Factor 0*m + 3/5*m**2 - 1/5*m**i + 0 - 3/5*m**4 + 1/5*m**5.
m**2*(m - 3)*(m - 1)*(m + 1)/5
Factor -1134 - 2259*v + 4784*v**4 - 9563*v**4 + 15*v**3 - 1113*v**2 + 4782*v**4.
3*(v - 18)*(v + 1)**2*(v + 21)
Let f(r) = -r**5 - 3*r**3 - r**2 + r. Let m(d) = 16*d**5 - 44*d**4 + 44*d**3 + 276*d**2 + 108*d - 320. Let c(b) = 20*f(b) + m(b). Let c(q) = 0. Calculate q.
-10, -2, 1, 2
Let g(i) be the first derivative of -222 - 3/4*i**4 + 0*i + 1/5*i**5 - 10/3*i**3 + 0*i**2. Find r, given that g(r) = 0.
-2, 0, 5
Let j(l) = -1947*l**2 - 5*l + 72. Let c(b) = -648*b**2 - 2*b + 27. Let o(r) = 8*c(r) - 3*j(r). Find g, given that o(g) = 0.
0, 1/657
Let n(u) be the first derivative of 3/2*u**5 + 0*u**4 + 16*u + 2 + 1/6*u**6 + 0*u**2 + 0*u**3. Let h(b) be the first derivative of n(b). Factor h(z).
5*z**3*(z + 6)
Let d = 30 + -28. Let v be 240/(-10) + (-7474)/(-303). Factor -8/3 - d*q + v*q**2.
2*(q - 4)*(q + 1)/3
Let n(i) be the third derivative of i**5/100 - 91*i**4/40 + 51*i**3 + 2393*i**2. Factor n(x).
3*(x - 85)*(x - 6)/5
Let d(g) be the second derivative of -g**4/4 + 8*g**3 - 96*g**2 - 7*g. Factor d(j).
-3*(j - 8)**2
Let i(d) = d**5 + 8*d**4 - 8*d**3 - 4*d + 4. Let m(g) = -15*g**5 - 129*g**4 + 126*g**3 + 63*g - 63. Let h(k) = 63*i(k) + 4*m(k). Factor h(q).
3*q**4*(q - 4)
Let i(v) be the first derivative of 8*v**2 + 98 - 4/3*v**3 - 12*v. Solve i(q) = 0 for q.
1, 3
Let a(y) be the second derivative of -1/540*y**6 + 0 + 0*y**5 + 3/2*y**3 + 0*y**2 - 9*y + 1/36*y**4. Let f(s) be the second derivative of a(s). Solve f(p) = 0.
-1, 1
Let t(s) be the third derivative of -31*s**8/110880 - 29*s**7/27720 + s**6/1980 - 3*s**5/5 + s**2 - 6*s. Let z(v) be the third derivative of t(v). Factor z(a).
-2*(a + 1)*(31*a - 2)/11
Let o(i) be the second derivative of -27*i - 9/4*i**3 + 4 + 1/4*i**4 + 27/4*i**2. Solve o(l) = 0 for l.
3/2, 3
Suppose -2*x - 1194 = 2*o, -2*o = 3*x - 654 + 2441. Let n = -593 - x. Factor 1/3*w**2 + n*w - 1/2*w**3 + 0.
-w**2*(3*w - 2)/6
Let m(h) be the second derivative of h**5/4 - 205*h**4/6 - 5*h**3/6 + 205*h**2 - 1740*h + 1. Factor m(w).
5*(w - 82)*(w - 1)*(w + 1)
Let d be ((-65)/39)/((-1)/18). Let g = d - 22. Factor -3*q**3 - 11*q**2 + 10*q**4 - q**4 + g*q**5 + 2*q**2 - 5*q**5.
3*q**2*(q - 1)*(q + 1)*(q + 3)
Let l(s) be the second derivative of s**5/35 - 4*s**4/21 + 10*s**3/21 - 4*s**2/7 - 1283*s. Solve l(p) = 0 for p.
1, 2
Let z be 64/80*(-100)/(-120). Factor 2/3*k + 0 + z*k**2.
2*k*(k + 1)/3
Let o(f) = 20*f**4 - 160*f**3 + 15*f**2 + 155*f. Let u(l) = 27*l**4 - 239*l**3 + 22*l**2 + 232*l. Let y(n) = -7*o(n) + 5*u(n). Factor y(s).
-5*s*(s - 1)*(s + 1)*(s + 15)
Suppose -4*n - 3*y = -3*n - 8, -4*n = 5*y - 11. Let q(j) = 1 + j + 6 - 3 - 3 + j**2. Let l(d) = -2*d - 3. Let x(w) = n*q(w) - l(w). Suppose x(g) = 0. What is g?
-1, 2
Let r = -11/5064 - -397/633. Find a, given that -1/8*a**2 - 3/4 + r*a = 0.
2, 3
Let w be ((-5)/5)/2*(-28)/2. Factor 19*i**2 - 3*i + 10 - 27*i**2 + w*i**2.
-(i - 2)*(i + 5)
Let s be ((-324352)/880)/(-8) + (-312)/(-429). Let -2/5*i**3 - s*i**2 - 9126/5*i - 118638/5 = 0. What is i?
-39
Let 81/5*i**2 + 39/5*i**3 + 9*i + 3/5 = 0. Calculate i.
-1, -1/13
Let m = 12849/5 + -2569. Let x(b) be the first derivative of 1/5*b**2 + 4/15*b**3 - 11 - 1/10*b**4 - m*b. Suppose x(l) = 0. What is l?
-1, 1, 2
Let x be (-7752)/418 - -19 - (-201)/66. Solve 0 + x*w**3 - 1/4*w**4 + 3*w - 25/4*w**2 = 0.
0, 1, 12
Let y = 443 - 428. Suppose -n = 2*c, -10*c - 1 = -3*n - y*c. Factor 3/2*v**3 + 15/2*v - 6*v**n - 3.
3*(v - 2)*(v - 1)**2/2
Let m(l) be the first derivative of l**5/15 - 14*l**4/3 - 58*l**3/9 + 28*l**2/3 + 19*l - 1366. Factor m(h).
(h - 57)*(h - 1)*(h + 1)**2/3
Let i(g) be the third derivative of g**5/4 - g**4/8 - 21*g**3 - 1254*g**2 - g. Factor i(d).
3*(d - 3)*(5*d + 14)
Let z = 1725 + -1721. Let m(l) be the third derivative of 0 + 5*l**2 + 0*l**3 + 1/210*l**5 - 1/28*l**z + 0*l. Determine c, given that m(c) = 0.
0, 3
Suppose 2*p + d + 6 = -3, -3*p - 2*d = 15. Let v be p/4 - 1537/(-1740). Suppose -4/15*t**3 + 2/15*t**5 + 4/15*t**2 - 2/15 + v*t - 2/15*t**4 = 0. What is t?
-1, 1
Let b(d) be the first derivative of 46*d**3/15 + 3379*d**2/5 - 588*d/5 + 6763. Determine s, given that b(s) = 0.
-147, 2/23
Let c be (56/36)/1*(4940/(-133) - -38). Let 5/3*o**3 + c - 1/3*o**4 - 5/3*o - o**2 = 0. Calculate o.
-1, 1, 4
Let d(k) be the second derivative of 1/6*k**3 + 1/60*k**6 + 0*k**2 + 5/24*k**4 + 1/10*k**5 + 0 - 97*k. Suppose d(l) = 0. Calculate l.
-2, -1, 0
Factor 0 - 3*y - 1/6*y**4 - 4/3*y**3 - 7/2*y**2.
-y*(y + 2)*(y + 3)**2/6
Let x be (0 + 8)/(-16*(-15)/240). Let d(c) be the first derivative of -48/5*c - 28/15*c**3 + x*c**2 + 12 + 4/25*c**5 - 2/5*c**4. Factor d(b).
4*(b - 2)**2*(b - 1)*(b + 3)/5
Let n(t) be the second derivative of t**7/42 - 47*t**6/30 + 63*t**5/4 + 3969*t**4/4 - 24696*t**3 - 4475*t. Factor n(b).
b*(b - 21)**3*(b + 16)
Let t = 406 + -333. Factor 78*z**2 - 40*z + 110 - 75*z - t*z**2.
5*(z - 22)*(z - 1)
Let f(t) be the first derivative of t**4/5 - 16*t**3/5 - 6*t**2 + 104*t/5 - 1899. Solve f(a) = 0 for a.
-2, 1, 13
Let y(u) = u**2 + 18*u + 74. Let a be y(-6). Let q be (455/(-39) + 11)/((-1)/a). Factor 100/3 + 40/3*d + q*d**2.
4*(d + 5)**2/3
Let x(f) = -6*f**2 + 2. Let c(r) = -93*r**2 + 840*r - 58770. Let h(v) = c(v) - 15*x(v). What is j in h(j) = 0?
140
Let x(c) be the third derivative of c**7/525 + 37*c**6/300 - 253*c**5/150 + 43*c**4/12 + 20*c**2 + 39*c. Suppose x(w) = 0. What is w?
-43, 0, 1, 5
Let p be (-28336)/(-9200) - (-1 - (-27)/25). Let d(y) be the second derivative of -5/24*y**p + 8*y + 0 + 0*y**2 - 5/48*y**4. Find z, given that d(z) = 0.
-1, 0
Suppose 87*h - u + 958 = 82*h, -4*u = 5*h + 968. Let m = h + 195. Suppose 3/4*f**4 - 11/4*f**m - 9/4*f + 1/2 + 15/4*f**2 = 0. Calculate f.
2/3, 1
Let t = -36289 + 36299. Suppose -1/2*f**2 + t*f - 50 = 0. Calculate f.
10
Find l, given that 12/5*l**4 + 8/5 + 12*l**2 - 44/5*l**3 - 36/5*l = 0.
2/3, 1
Let m(g) be the second derivative of -g**4/6 + 2914*g**3/3 - 2122849*g**2 + 25*g - 34. Factor m(v).
-2*(v - 1457)**2
Let p(o) be the third derivative of o**5/60 + 19*o**4/8 + 90*o**3 - 1081*o**2. Factor p(a).
(a + 12)*(a + 45)
Let z(c) be the second derivative of 0 - 263*c + 0*c**4 + 1/30*c**5 + 0*c**2 + 0*c**3. Solve z(n) = 0 for n.
0
Let b(x) be the second derivative of x**6/120 + 7*x**5/20 + 13*x**4/8 - 31*x**3/2 + 252*x. Let c(r) be the second derivative of b(r). Factor c(m).
3*(m + 1)*(m + 13)
Let g(q) be the second derivative of q**7/21 - 13*q**6/15 + 57*q**5/10 - 103*q**4/6 + 82*q**3/3 - 24*q**2 - 2056*q. Find a, given that g(a) = 0.
1, 4, 6
Let p(h)