 v*q**3 + 217*q**2 - 219*q**2 = 0. What is q?
-2, -1, 2
Let b(v) = -12*v + 4*v + 6*v - 10. Let d be b(-6). Solve -4*t**d + t**2 + 49 - 46 = 0 for t.
-1, 1
Let v = 7850 + -7846. Find y such that 3/2*y + 0 - 3/2*y**3 - 1/2*y**2 + 1/2*y**v = 0.
-1, 0, 1, 3
Let x(c) = -5*c**3 + 55*c**2 + 103*c + 76. Let n(v) = v**3 - 11*v**2 - 21*v - 15. Let w(o) = -11*n(o) - 2*x(o). Find l, given that w(l) = 0.
-1, 13
Let p = -18043/2 - -9023. Factor 0*t**2 + 0*t + 3/8*t**5 + 0 + 3/2*t**4 + p*t**3.
3*t**3*(t + 2)**2/8
Find p, given that 81/7*p**2 + 6/7*p**4 - 51/7*p**3 + 0 + 54/7*p = 0.
-1/2, 0, 3, 6
Let g be (-2 - (0 - 174)) + (1 - 5). Let f be 1/(-5)*-2 + g/105. Determine v, given that 1/4*v**f + 0*v - 1 = 0.
-2, 2
Let 318/7*u - 72 - 2/7*u**3 - 44/7*u**2 = 0. What is u?
-28, 3
Let d(g) be the second derivative of -1/8*g**4 - 27*g**2 + 3*g**3 + 4*g + 0. Solve d(c) = 0 for c.
6
Let t(r) be the second derivative of 1/84*r**7 + 0 - 1/12*r**4 - 4*r - r**3 + 2*r**2 + 11/40*r**5 - 1/10*r**6. Factor t(x).
(x - 2)**3*(x - 1)*(x + 1)/2
Let a(j) be the second derivative of -j**2 + 13/6*j**3 + 0 - 11/15*j**6 - 8/3*j**4 + 19/10*j**5 - 11*j + 5/42*j**7. Determine s, given that a(s) = 0.
2/5, 1
Factor -148/7*l**2 - 4/7 + 152/7*l.
-4*(l - 1)*(37*l - 1)/7
Let a(n) = -5*n**3 + 11*n**2 + 11*n. Let u(l) = 3*l**3 - 6*l**2 - 6*l. Let v = -18 - -27. Let i = 3 - v. Let s(j) = i*a(j) - 11*u(j). Find y such that s(y) = 0.
0
Let n(r) = 5*r**3 - 11*r**2 + 6*r + 2. Let j(k) = k**3 - k**2 + 1. Let p(f) = -2*j(f) + n(f). Suppose p(d) = 0. Calculate d.
0, 1, 2
Factor -120*o - 2/7*o**4 - 332/7*o**2 - 450/7 + 8*o**3.
-2*(o - 15)**2*(o + 1)**2/7
Let p = -18/29 + 101/116. Let s(m) be the first derivative of 0*m - 3 - p*m**3 - 3/8*m**2. Factor s(g).
-3*g*(g + 1)/4
Suppose 260*c - 105 - 463 - 212 = 0. Solve 0 + 4/3*m**5 - m**c + 8/3*m**4 - 3*m**2 + 0*m = 0.
-3/2, 0, 1
Let l(b) = -5*b**3 - 24*b**2 - 27*b + 6. Let o(u) = -20*u**3 - 96*u**2 - 109*u + 24. Let g(n) = -9*l(n) + 2*o(n). Factor g(a).
(a + 2)*(a + 3)*(5*a - 1)
Factor 39/5*c + 0 - 3/5*c**2.
-3*c*(c - 13)/5
Let j be (-4)/(1 - (-160)/(-164)). Let f = -653/4 - j. Factor -3/2*l + 3/4*l**2 + f.
3*(l - 1)**2/4
Let o = 5 + -2. Suppose 6*a = -5*a + 55. Factor -8 - 10*d + 6*d + 4*d**3 - a*d - o*d.
4*(d - 2)*(d + 1)**2
Suppose 2*w = -t - 3*w + 24, 4*t + w = 58. Suppose 3*d = 1 + t. What is u in 18*u**3 + u + 3*u**d - 3*u - 12*u**4 + 5*u - 12*u**2 = 0?
0, 1
Suppose -131 = -g + l, -3*l + 9 - 12 = 0. Let d = g + -123. Factor 5/3*o**5 - 17/3*o**4 + 2/3*o + 0 - 11/3*o**2 + d*o**3.
o*(o - 1)**3*(5*o - 2)/3
Let h = -72 + 76. What is x in 6*x + 16 - 7 - 3*x**h - 6*x**3 - 6 = 0?
-1, 1
Let m = -2140 - -2140. Factor m - 2/11*i**4 + 4/11*i**3 - 2/11*i**2 + 0*i.
-2*i**2*(i - 1)**2/11
Let k(h) be the second derivative of h**6/285 - h**5/38 + 7*h**4/114 - h**3/19 - 18*h - 3. Let k(r) = 0. Calculate r.
0, 1, 3
Let q be (-99)/20 - (4 - (-3 + 12)). Let b(a) be the second derivative of -3*a + 1/9*a**3 + q*a**5 + 0 + 0*a**2 + 5/36*a**4. Solve b(s) = 0.
-1, -2/3, 0
Solve -g**2 + 8*g - 1/3*g**3 - 28/3 = 0 for g.
-7, 2
Let -14*w**5 - 164*w**4 - 106*w**3 + 693 + 44*w**2 - 693 = 0. What is w?
-11, -1, 0, 2/7
Let y(c) be the first derivative of -3/2*c + 25 + 39/2*c**2 + 1875/32*c**4 - 725/8*c**3. Factor y(i).
3*(i - 1)*(25*i - 2)**2/8
Let q = 38 - 33. Find a such that -5*a**2 + q*a**3 + 5*a**4 - 4*a**5 - 22 - a**5 + 22 = 0.
-1, 0, 1
Let w(f) = -2*f + 8. Let x be w(0). What is v in -5 + 3*v**2 - x*v**2 - 16*v + v - 5 = 0?
-2, -1
Let w(u) be the second derivative of -7*u**6/3 + 128*u**5/5 - 19*u**4/2 - 136*u**3/3 - 28*u**2 + 101*u. Let w(k) = 0. Calculate k.
-2/5, -2/7, 1, 7
Factor -16*s**2 + 27 + s - s**3 + 37 + 4*s + 11*s - 3*s**3.
-4*(s - 2)*(s + 2)*(s + 4)
Factor -60*h - 99 + 134 + 118 + 3*h**2 + 4*h**2 - 4*h**2.
3*(h - 17)*(h - 3)
Let o(v) be the second derivative of 0*v**2 + 1/10*v**5 - 1/21*v**6 + 0*v**3 - 28*v + 0 - 1/21*v**4. Factor o(h).
-2*h**2*(h - 1)*(5*h - 2)/7
Let u = 5 - 0. Find n, given that -n**3 + u*n - 14*n**2 - 2*n**3 + 1 - 18*n + 5 = 0.
-3, -2, 1/3
Let r(n) be the second derivative of n**3/6 - 13*n**2 + 26*n. Let h be r(29). Solve 56/5*x**h - 8/5*x**4 - 8/5 - 28/5*x + 16/5*x**2 - 28/5*x**5 = 0.
-1, -2/7, 1
Let l(x) = 2*x + 44. Let u be l(-20). Solve h**2 + 0 - 2/3*h**3 - 1/3*h**u + 0*h = 0.
-3, 0, 1
Let w be (422/(-5))/((-9)/(-90)). Let l = w + 4238/5. Suppose 27/5 + 3/5*y**2 - l*y = 0. What is y?
3
Factor 13675*y - 20*y**3 - 13675*y + 16*y**2 + 0 + 4*y**4 + 0.
4*y**2*(y - 4)*(y - 1)
Factor -15*n + 7*n**4 + 18*n - n**4 - 7*n - 14*n**2 - 4*n**3.
2*n*(n - 2)*(n + 1)*(3*n + 1)
What is l in 2/5*l**3 - 8/5*l - 24/5 + 6/5*l**2 = 0?
-3, -2, 2
Let w be 37496/(-960) - (-1)/8. Let o = -112/3 - w. Factor 2/5 - 6/5*f**2 + 8/5*f**3 + o*f**4 - 4/5*f.
2*(f + 1)**2*(2*f - 1)**2/5
Let t(r) be the first derivative of 0*r + 1/3*r**3 + 2*r**2 - 9 + 0*r**4 - 1/30*r**5. Let s(i) be the second derivative of t(i). Find k such that s(k) = 0.
-1, 1
Suppose -21*t - 4 = -16*t - 2*u, 5*u - 29 = 3*t. Find k, given that 288/5*k**t - 7/5*k**5 + 0 + 117/5*k**4 - 526/5*k**3 + 128/5*k = 0.
-2/7, 0, 1, 8
Let j(w) be the third derivative of -w**9/3024 + w**8/1344 + 5*w**7/504 + w**6/48 - 11*w**4/24 - 3*w**2. Let k(z) be the second derivative of j(z). Factor k(d).
-5*d*(d - 3)*(d + 1)**2
Let d = 754 - 6782/9. Factor 4/9*s**2 - d + 2/3*s.
2*(s + 2)*(2*s - 1)/9
Let o(n) be the first derivative of n**5 - 10*n**4 + 95*n**3/3 - 30*n**2 - 25. Factor o(w).
5*w*(w - 4)*(w - 3)*(w - 1)
Let d(o) be the third derivative of o**8/336 + o**7/105 + o**6/120 + 7*o**2. Factor d(h).
h**3*(h + 1)**2
Factor -4/7*n**2 + 60/7*n - 8.
-4*(n - 14)*(n - 1)/7
Let l = -86 - -173/2. Let j(x) be the second derivative of 0 + 2/5*x**5 - 4/3*x**3 + 1/15*x**6 - 4*x**2 + l*x**4 - 2*x. Find v, given that j(v) = 0.
-2, -1, 1
Let z(u) = 2*u**2 + 7*u - 14. Let x be z(-7). Factor 5*c**5 + x*c**3 + 76*c**4 + 0*c**5 + 15*c**2 - 51*c**4.
5*c**2*(c + 1)**2*(c + 3)
Let y(q) be the second derivative of -q**4/20 - 7*q**3/2 - 144*q**2/5 - 4*q + 14. Factor y(n).
-3*(n + 3)*(n + 32)/5
Suppose -13*x = -2227 - 152. Let p = x + -180. Factor p - 3/5*t**2 - 12/5*t.
-3*(t - 1)*(t + 5)/5
Let t be -8 - ((-306)/42 - 1). Factor 0 - t*d + 2/7*d**2 - 2/7*d**4 + 2/7*d**3.
-2*d*(d - 1)**2*(d + 1)/7
Let l(d) be the first derivative of -2*d**5/35 + 3*d**4/14 - 4*d**2/7 - 167. Determine s so that l(s) = 0.
-1, 0, 2
Let w(j) be the third derivative of j**6/30 - 6*j**5/5 + 4*j**2 - 4. Factor w(m).
4*m**2*(m - 18)
Let u(d) be the first derivative of d**6/3 + 2*d**5/5 - 3*d**4/2 - 2*d**3/3 + 2*d**2 - 56. Factor u(w).
2*w*(w - 1)**2*(w + 1)*(w + 2)
Let a(v) = v + 7. Let j be a(8). Let k be -1 + (-2)/((-6)/j). Find y, given that -24*y**3 - 8*y**5 - 2*y**3 - 20*y**4 - k*y**2 + 10*y**3 + 0*y**5 = 0.
-1, -1/2, 0
Let i be 0*((-45)/10 + 4). Let m be 42/147*(-14)/(-10). Factor 6/5*f + m*f**2 + i.
2*f*(f + 3)/5
Suppose -2*w = -w - 1. Factor s**3 - s + s - s - 2*s**2 + w + 1.
(s - 2)*(s - 1)*(s + 1)
Let z be ((-119)/(-34))/(4/(-56)*-4) - 4. Factor -z*r + 9/4 + 9/4*r**3 + 15/4*r**2.
3*(r - 1)*(r + 3)*(3*r - 1)/4
Let j = 11 + -7. Let w = j + 2. Find q, given that -10*q**3 - w*q - 2 + 11*q**3 + 3*q = 0.
-1, 2
Suppose 0 = -2*y - y - 5*o - 462, -5*o = 0. Let c = 156 + y. Factor -2/5*v - 2/5*v**4 - 6/5*v**3 - 6/5*v**c + 0.
-2*v*(v + 1)**3/5
Let w = 38 - 33. Let b(j) be the second derivative of 0*j**2 + 2*j - 1/168*j**7 + 1/24*j**4 + 0*j**6 + 0 + 0*j**3 + 3/80*j**w. Suppose b(q) = 0. Calculate q.
-1, 0, 2
Let k(p) be the second derivative of p**7/210 + 13*p**6/75 + 12*p**5/5 + 224*p**4/15 + 512*p**3/15 - 68*p. Let k(a) = 0. What is a?
-8, -2, 0
Let 0 - 45*n - 8*n**3 - 1/2*n**4 - 69/2*n**2 = 0. Calculate n.
-10, -3, 0
Let r(x) be the first derivative of -x**6/40 - x**5/20 + 10*x**3/3 + 9. Let l(v) be the third derivative of r(v). Factor l(u).
-3*u*(3*u + 2)
Let q(x) be the third derivative of -x**8/60480 + x**7/840 - 3*x**6/80 - x**5/20 + 4*x**2. Let r(w) be the third derivative of q(w). What is c in r(c) = 0?
9
Let j be (1 - 1)/(5*(-10 + 9)). Let p(f) be the second derivative of 1/18*f**3 + j*f**2 + 0 + 1/18*f**4 + 7*f + 1/60*f**5. Determine c so that p(c) = 0.
-1, 0
Determine f, given that 60*f**2 + 8*f + 8 + 57*f**2 - 115*f**2 = 0.
-2
Let m = -51110/3 + 17046. Factor 12 + 4