3*g**3 + 5 - 1 - o*g**4 - 10 - 3*g = 0.
-1, 1, 2
Let w(p) be the third derivative of p**8/1008 - p**7/126 + p**6/180 + 2*p**5/45 + 51*p**2. Factor w(i).
i**2*(i - 4)*(i - 2)*(i + 1)/3
Let q(l) = -19*l**3 - 19*l**2 - 86*l + 112. Let t(v) = 22*v**3 + 19*v**2 + 87*v - 114. Let k(s) = 7*q(s) + 6*t(s). What is c in k(c) = 0?
-10, 1
Let c(q) be the second derivative of -q**6/900 + q**5/300 + q**4/30 + 14*q**3/3 - 10*q. Let u(t) be the second derivative of c(t). Factor u(n).
-2*(n - 2)*(n + 1)/5
Let b = 2 + -2. Suppose b*t - 18 = -2*t. Factor t*m**3 + 7*m**3 + 16*m**4 - 1 - 20*m - 8*m**2 + 4*m**5 - 7.
4*(m - 1)*(m + 1)**3*(m + 2)
Solve -312/5 - 2/5*z**2 + 64/5*z = 0.
6, 26
Let m(x) be the second derivative of -5*x**5/24 - 155*x**4/72 + 215*x**3/12 + 45*x**2/4 - x - 222. Let m(r) = 0. What is r?
-9, -1/5, 3
Let w be (0/3 - (4 - 1)) + -9 + 12. Factor 0 - 3/2*r**5 - 3*r**2 + w*r**3 + 3/2*r + 3*r**4.
-3*r*(r - 1)**3*(r + 1)/2
Let i(q) be the first derivative of q**4/8 + q**3/3 - q**2/4 - q - 44. Solve i(s) = 0.
-2, -1, 1
Find h, given that 244*h**2 + 9 - 52*h**4 + 53 - 14 - 352*h + 112*h**3 = 0.
-2, 2/13, 1, 3
Let h = -229 + 234. Suppose -i - 3*i + h*q = -18, i + 4*q = -6. Determine w, given that 2/9*w**3 + 4/9*w**i - 2/3*w + 0 = 0.
-3, 0, 1
Let t be ((-21)/315)/(2*(-2 - -1)). Let s(c) be the second derivative of 1/5*c**2 - 1/60*c**4 + 8*c - t*c**3 + 0. Factor s(i).
-(i - 1)*(i + 2)/5
Let d(v) be the first derivative of -2*v**3/27 - 34*v**2/9 - 578*v/9 - 21. Factor d(m).
-2*(m + 17)**2/9
Factor 2 + 3*n - 6*n**4 - 197*n**2 + 0*n**3 - 9*n**3 + 260*n**2 + 25 - 78*n.
-3*(n - 1)**3*(2*n + 9)
Suppose 16*v + 12 = 60. Suppose -v*b = -15, -5*h - 10*b + 25 = -7*b. Suppose 2/3*q - 2/3*q**h + 0 = 0. What is q?
0, 1
Let g(m) be the first derivative of -37*m**4/20 - 24*m**3/5 + 2*m**2/5 - 135. What is l in g(l) = 0?
-2, 0, 2/37
Let r(l) be the third derivative of l**6/30 - l**5/15 - 7*l**4/6 - 2*l**3/3 - 29*l**2. Let y(p) = p - 1. Let n(w) = -r(w) - 8*y(w). Factor n(o).
-4*(o - 3)*(o + 1)**2
Let l(z) be the first derivative of -1/30*z**5 + 7/2*z**2 + 0*z**4 + 0*z - 3 + 0*z**3 - 1/120*z**6. Let r(s) be the second derivative of l(s). Factor r(t).
-t**2*(t + 2)
Let l(b) = 2*b**3 - 38*b**2 - 39*b - 18. Let v be l(20). Factor -2/3*d**v - 8/3 - 10/3*d.
-2*(d + 1)*(d + 4)/3
Let c(k) = -4*k + 20. Let g be c(5). Let 4*n**2 + 7*n + g*n + 4*n + 36 + 13*n = 0. Calculate n.
-3
Let k be (12/(-117))/(8/(-12)). Let w = 5/52 + k. Suppose g**2 + w*g**3 + 5/4*g + 1/2 = 0. What is g?
-2, -1
Let z(a) = -10*a + 60. Let s be z(6). Suppose s = 28*u - 24*u. Factor 0*y + 9/4*y**3 + 3/2*y**4 + 0 + u*y**2 + 1/4*y**5.
y**3*(y + 3)**2/4
Let u(y) be the third derivative of y**8/2520 + y**7/1260 - y**6/540 - y**5/180 + 19*y**3/6 - 16*y**2. Let n(w) be the first derivative of u(w). Factor n(s).
2*s*(s - 1)*(s + 1)**2/3
Suppose 19*z + 12*z - 93 = 0. Let q(c) be the first derivative of 2/27*c**z + 5 + 2/9*c + 2/9*c**2. Determine b so that q(b) = 0.
-1
Factor 3*w**2 - 35*w**3 - 28*w**2 + 1354*w - 1344*w.
-5*w*(w + 1)*(7*w - 2)
Let b(x) be the second derivative of -x**6/5 + 3*x**5/20 + x**4/2 - x**3/2 + 4*x + 9. Factor b(o).
-3*o*(o - 1)*(o + 1)*(2*o - 1)
Let w be (5 - (2 + -1)) + 18. Suppose t + 20 = 3*d, -d + 3 + w = -4*t. Factor 3*r**3 - d*r**4 + 8*r**4 - 4*r**3 - 2*r**4.
r**3*(r - 1)
Let s(i) be the third derivative of -i**5/30 - 29*i**4/6 - 841*i**3/3 + 301*i**2. Factor s(k).
-2*(k + 29)**2
Let w(u) be the first derivative of -u**6/3 + 12*u**5/5 - 4*u**4 - 4*u**3 + 9*u**2 - 504. Find s, given that w(s) = 0.
-1, 0, 1, 3
Let q(h) be the second derivative of -h**5/14 - 9*h**4/14 - 40*h**3/21 - 12*h**2/7 - 74*h - 1. Solve q(v) = 0.
-3, -2, -2/5
Suppose -4*j + j = 4*s - 19, j = -3. Let c be (-32)/(-4) + s/((-28)/16). Determine b so that 0 - 1/3*b**c + 0*b + 0*b**3 + 1/3*b**2 = 0.
-1, 0, 1
Suppose 22 = 5*p - 3*g, 6 = -2*p - 4*g - 6. Factor -2*b**3 + 21*b**2 + 20*b**2 - 180*b + 56 + 25 - 4*b**p.
-(b - 9)**2*(2*b - 1)
Let o(i) = i**2 - 7*i - 14. Let d(h) = 4*h**2 - 36*h - 68. Let q(a) = 6*d(a) - 28*o(a). Solve q(x) = 0.
-4, -1
Let -3/2*k**2 - 864 - 72*k = 0. Calculate k.
-24
Suppose -5*g = -10*g - 2*o + 11, -5*g - 5*o + 5 = 0. Suppose -40 = -5*q - 5*a, 2 = -q - g*a + 4*a. Factor 10/7*l**q + 0 + 2/7*l**5 + 0*l + 8/7*l**4 + 4/7*l**2.
2*l**2*(l + 1)**2*(l + 2)/7
Suppose 0 = -24*v + 22*v + 10. Let o(d) be the second derivative of -6*d + 1/42*d**4 + 0*d**v - 1/105*d**6 + 0*d**2 + 0 + 0*d**3. Find g such that o(g) = 0.
-1, 0, 1
Let d(i) = -i**3 + 13*i**2 + 14*i + 5. Let v be d(14). Suppose -v*z = -4 - 26. Let z*h + 6 + 3*h**2 + 3*h + 0 = 0. Calculate h.
-2, -1
Suppose 0 = 7*t + 15*t - 132. Let g(p) be the third derivative of -1/360*p**t - 1/180*p**5 + 0*p**4 + 0 - 3*p**2 + 0*p + 0*p**3. Let g(i) = 0. What is i?
-1, 0
Let w be -5*7/2*(-1568)/21560. Let -w*t + 4/11*t**2 + 8/11 + 2/11*t**3 = 0. Calculate t.
-4, 1
Suppose 3*u - 3*a - 81 = 0, 5*u - a - 129 = 2*a. Let o be 24/(-280) + (2 - u/14). Factor -o*m**2 + 2/5 + 1/5*m.
-(m - 2)*(m + 1)/5
Suppose 11 + 37 = 8*n. Factor n*y**2 - 57*y**2 - 40*y**2 - 4*y**4 + 28*y**3 + 31*y**2 + 52*y - 16.
-4*(y - 4)*(y - 1)**3
Let a(i) = 4*i**2 - 21*i + 21. Let x = 48 + -38. Let h(y) = -2*y**2 + 11*y - 11. Let c(g) = x*h(g) + 6*a(g). Factor c(k).
4*(k - 2)**2
Let -8 - 64/7*r - 2/7*r**3 - 22/7*r**2 = 0. What is r?
-7, -2
Let t(f) = -2*f**3. Suppose -g = -5 + 6. Let i be t(g). Find p such that 7*p**3 + 14*p**3 - 17*p**3 + 4*p**i - 4 - 4*p = 0.
-1, 1
Find c such that 25*c**2 + 7*c**2 + 48*c**3 - 333*c**4 + 5*c**5 + 351*c**4 - 3*c**5 = 0.
-4, -1, 0
Let k = 85 - 74. Suppose -k = -2*n - 3. Find o, given that -2/11*o**n + 0 + 2/11*o**2 - 2/11*o**3 + 2/11*o = 0.
-1, 0, 1
Let c = 3445 + -3441. Factor 0 + 11/5*u**3 + 0*u + 2/5*u**2 + u**c.
u**2*(u + 2)*(5*u + 1)/5
Suppose b = 18*i - 16*i + 1, -3*b + 23 = 4*i. Let p(n) be the second derivative of 0*n**3 - 3/20*n**b + 0*n**2 + 0 + 6*n + 1/4*n**4. Factor p(x).
-3*x**2*(x - 1)
Let j(s) = 4*s**4 + 3*s**3 - 236*s**2 - 235*s + 3610. Let p(l) = -2*l**4 - 2*l**3 + 118*l**2 + 118*l - 1804. Let a(v) = 2*j(v) + 5*p(v). Factor a(z).
-2*(z - 5)**2*(z + 6)**2
Let l(i) = 5*i**2 - 3*i + 2. Let y be l(1). Solve 0*o + o + 2*o**2 - 7*o - y*o**2 = 0.
-3, 0
Let w be (3648/36)/(-8) + 20. Determine l, given that -22/3*l**4 - 4/3*l**5 + 8/3 - w*l**2 - 40/3*l**3 + 8/3*l = 0.
-2, -1, 1/2
Find h, given that 6*h**2 - h + 140*h**4 + 150175*h**3 + 25*h**5 + 64*h**2 - 150410*h**3 + h = 0.
-7, 0, 2/5, 1
Let u(g) = -3*g**5 + g**4 - g**3 - g**2 - 4. Let q(h) = -h**4 + h**3 + h**2 + 1. Let b(l) = 4*q(l) + u(l). Let b(z) = 0. What is z?
-1, 0, 1
Suppose -3*y + 10 - 1 = 0. Solve -3*b - 5*b - y*b + 2*b + 3*b**2 = 0 for b.
0, 3
Suppose -254 = -11*v - 221. Factor 0 - 2/3*q**2 + 0*q + 2*q**v.
2*q**2*(3*q - 1)/3
Solve 1/4*z**2 + 225/4 + 15/2*z = 0 for z.
-15
Let z(d) = -2*d + 6. Let m be z(2). Factor 0*r + 0 + 1 - 2*r + r**m.
(r - 1)**2
Factor 45/4*y**2 + 5/2 + 5/4*y**4 - 35/4*y - 25/4*y**3.
5*(y - 2)*(y - 1)**3/4
Let q(v) = -v**2 - 7*v + 2. Let a be q(-5). Suppose 4*x - a = 4. Factor -1 - 3 + 5 - z + 6*z**2 - 8*z**2 + z**x - z**5 + 2*z**3.
-(z - 1)**3*(z + 1)**2
Let p = 14 + -9. Suppose 3*l = 2*v + 1 + 1, 0 = 2*l + p*v - 14. Solve -3*g**3 - l*g**3 + 0*g**3 + g**3 = 0 for g.
0
Let u be (-3 + -3 + 155/25)*(13 - 11). Factor -2/5*f**4 + 0 - 2/5*f**3 + u*f + 2/5*f**2.
-2*f*(f - 1)*(f + 1)**2/5
Let g be (222/925)/(28/5). Let m(a) be the second derivative of -2/7*a**3 + 6*a + 3/14*a**2 + 0 + 5/28*a**4 - g*a**5. Factor m(c).
-3*(c - 1)**2*(2*c - 1)/7
Let f(h) be the second derivative of h**5/100 + 4*h**4/15 - 11*h**3/30 - 363*h**2/5 - 302*h. Factor f(q).
(q - 6)*(q + 11)**2/5
Let m = -68 + 70. Let q be (-14)/(-4) - 1/2. Determine w, given that 2*w**2 + w**3 - w**5 - 3*w**q + 3*w**5 - m*w**4 + 0*w**3 = 0.
-1, 0, 1
What is m in -8/7*m**4 - 6/7 + 4/7*m + 0*m**3 + 18/7*m**2 = 0?
-1, 1/2, 3/2
Suppose -8*b = -3*b - 3*g - 140, -2*g = b - 41. Suppose -8 = -13*f + b. Factor f*s - 9/2 - 1/2*s**2.
-(s - 3)**2/2
Let b(u) = -u + 6. Let o be b(4). Let g = -2 + o. Factor i - 2 - 4*i**2 - 4*i + g*i - 3*i.
-2*(i + 1)*(2*i + 1)
Let j(w) = -9*w + 190. Let p be j(0). Let s = p + -566/3. Factor -46/3*t**4 - s*t + 0 - 18*t**3 - 26/3*t**2 - 14/3*t**5.
-2*t*(t + 1)**3*(7*t + 2)/3
Let w(y) be the third derivati