given that -2/7*v**2 - i*v - 128/7 = 0.
-8
Let b(i) = 5*i**2 + 148*i - 382. Let j be b(-32). Solve 304/7*s**4 + 90/7*s**5 - 666/7*s**3 + 312/7*s**j - 40/7*s + 0 = 0.
-5, 0, 2/9, 2/5, 1
Let h(a) be the third derivative of 0 + 1/210*a**5 + 0*a**3 + 1/12*a**4 - 7*a + a**2. What is t in h(t) = 0?
-7, 0
Let n(v) be the second derivative of v**6/60 + v**5/15 + v**4/12 + 3*v**2/2 - 11*v. Let l(i) be the first derivative of n(i). Solve l(p) = 0.
-1, 0
Let a = 38 - 27. Suppose 2 = 12*j - a*j. Factor 5*r**5 - j*r**5 - 3*r**5 + r**5 + 2*r**2 - 2*r**4 - r.
r*(r - 1)**3*(r + 1)
Let j(p) = p**2 + 2*p - 3. Let l be j(-3). Suppose 4*s = -t + s + 5, 3*s - 3 = l. What is m in m + 2*m**3 - m**2 - m**3 + 4*m**t - m**2 = 0?
-1, 0
Suppose -4 = -0*x - 4*x, 0 = -4*c + 3*x + 1. Let m be -1 + (2 - c) - -2. Factor 0 - r + 1/2*r**m + 4*r**3 + 5/2*r**4.
r*(r + 1)**2*(5*r - 2)/2
Factor 2*u**2 + 96/5 - 244/5*u.
2*(u - 24)*(5*u - 2)/5
Let i(g) be the third derivative of 0*g**4 - 5*g**2 + 0*g**5 - 1/945*g**7 + 0*g**3 + 0 - 1/1080*g**6 + 1/1008*g**8 + 0*g. Factor i(y).
y**3*(y - 1)*(3*y + 1)/9
Suppose -3*t = -2*k + 137, -t - 6 = t. Let b be (-104)/k - (0 + -2). Factor -b*u**3 + 0 + 3/4*u**2 + 0*u.
-3*u**2*(u - 2)/8
Let a be (-3 - -2)/(1/(-7)). Factor a*v**5 + 4*v**4 + 5*v**5 + 2*v - 14*v**5 + 0*v**5 - 4*v**2.
-2*v*(v - 1)**3*(v + 1)
Suppose -5*p + p = -304. Suppose 19 = -19*v + p. Solve -3*f**3 - v - 21/2*f**2 - 21/2*f = 0 for f.
-2, -1, -1/2
Let u(s) = 15*s**4 + 2*s**3 - 17*s + 17. Suppose 9*n + 28 = -26. Let j(d) = -5*d**4 - d**3 + 6*d - 6. Let l(o) = n*u(o) - 17*j(o). Find w, given that l(w) = 0.
0, 1
Let a(m) be the first derivative of 0*m**3 + 1/8*m**4 - 8*m - 2 - 3*m**2. Factor a(k).
(k - 4)*(k + 2)**2/2
Solve -3/2*m**2 + 21/2*m**3 + 3/2*m**5 + 15/2*m**4 - 12*m - 6 = 0.
-2, -1, 1
Suppose 4*x - x = 15. Suppose -2*d - 4*u = -15 - x, -u - 5 = -2*d. Factor -22 + d*i**2 + 22.
4*i**2
Let w = -176 + 110. Let g = -63 - w. What is h in 2/11*h**g + 0 + 2/11*h**2 - 4/11*h = 0?
-2, 0, 1
Let t be (-1 - 1)/2 - -6. Find d such that d**3 + 8*d**2 - d**4 - 4*d**5 - 9*d**3 + 6*d**t - d**4 = 0.
-2, 0, 1, 2
Let f = -5 - 152. Let v = f + 159. Find b such that 0*b**v + 4/9*b**3 + 2/9*b**5 + 2/3*b**4 + 0*b + 0 = 0.
-2, -1, 0
Let j = 71 - 75. Let w be (5 + j)*(-2 - 0 - -2). Factor -1/3*s**2 + w*s + 0 + 1/3*s**4 + 0*s**3.
s**2*(s - 1)*(s + 1)/3
Let x(c) = -12*c**3 - 17*c**2 + 19*c - 8. Let n(u) = -u**3 + u**2 + 2*u + 1. Let f(z) = 2*n(z) + x(z). Factor f(b).
-(b + 2)*(2*b - 1)*(7*b - 3)
Factor -70*h**3 - 61*h**3 + 16 - 75*h**2 + 22 + 129*h**3 + 39*h.
-(h - 1)*(h + 38)*(2*h + 1)
Let d(f) be the first derivative of 0*f**3 + 0*f - 1 - 1/18*f**4 + 1/9*f**2. What is t in d(t) = 0?
-1, 0, 1
Let t(b) = -12*b**2 + 16*b + 28. Suppose -7*f = -1 + 22. Let r(z) = -4*z**2 + 5*z + 9. Let s(g) = f*t(g) + 8*r(g). Factor s(o).
4*(o - 3)*(o + 1)
Let w = 2/3105 + 27919/40365. Let z = 40/39 - w. Determine m so that 0*m - 1/3*m**2 + z = 0.
-1, 1
Suppose -4*h - 4 = 5*t, 16 = 2*h - h - 3*t. Suppose -242091*l - 150 = -242121*l. Factor 0*j**2 + 1/6*j**l + 0*j**3 + 0 + 0*j - 1/3*j**h.
j**4*(j - 2)/6
Let a = 17 - 0. Suppose 2*f - 2 = -4*x, -3*x - a + 2 = -4*f. Factor -2*c**2 + 6 - 2*c**2 + 0*c**2 + f*c + c**2.
-3*(c - 2)*(c + 1)
Suppose 0 = -2*w + 4*t - 24, 18 + 3 = -2*w + t. Let i = 13 + w. Suppose 3*v**2 - 6*v + 6*v**2 - v**3 - 2*v**i = 0. Calculate v.
0, 1, 2
Let k be (-38)/(-20) - (-2)/(-5). Let p be 198/77 + 7/(-147)*-9. Factor -3/2*j**2 - 3*j + 0 + p*j**3 + k*j**4.
3*j*(j - 1)*(j + 1)*(j + 2)/2
Let g be ((-2)/14)/((-960)/926). Let a = g + -1/224. Factor 0*n - a*n**2 + 2/15.
-2*(n - 1)*(n + 1)/15
Solve -8/7*k**5 + 0 + 12/7*k**4 - 48/7*k**2 + 16/7*k + 4*k**3 = 0.
-2, 0, 1/2, 1, 2
Let t(h) = 21*h**2 - 246*h + 210. Let o(d) = -3*d**2 + 35*d - 30. Let q(v) = -15*o(v) - 2*t(v). What is p in q(p) = 0?
1, 10
What is r in -14*r**2 - r**2 + 35*r**2 + 40*r**2 - 24*r**3 + 3*r**4 - 48*r = 0?
0, 2, 4
Suppose 363 + 693*n + 1191/4*n**2 - 63/2*n**3 + 3/4*n**4 = 0. What is n?
-1, 22
Factor 0 + 10/3*r + 0*r**2 - 5/6*r**3.
-5*r*(r - 2)*(r + 2)/6
Let o(x) = -24*x**3 + 21*x**2. Let a(v) = -24*v**3 + 20*v**2 - v. Let n(z) = 3*a(z) - 2*o(z). Suppose n(q) = 0. What is q?
0, 1/4, 1/2
Let b(z) be the second derivative of -6/7*z**3 + 0 - 1/140*z**6 + z + 8/105*z**5 - 11/2*z**2 - 5/28*z**4. Let t(o) be the first derivative of b(o). Factor t(h).
-2*(h - 3)**2*(3*h + 2)/7
Let w = 34 - 32. Let q be 1/(4/13) + -3. Factor -q*i + 0 + 1/4*i**w.
i*(i - 1)/4
Let m be (-10 - 5) + 14 - -3. Let 6/5*c - 1 - 1/5*c**m = 0. Calculate c.
1, 5
Suppose -4*q - 2*g + 8 = 0, 22*g + 6 = 19*g. Factor 1/3*d**q - d + 0*d**2 - 2/3.
(d - 2)*(d + 1)**2/3
Let m(d) be the third derivative of -26*d**2 - 1/30*d**5 + 0 + 1/3*d**3 + 0*d + 0*d**4. Solve m(o) = 0.
-1, 1
Let j(k) = 22*k**2 + 127*k - 19. Let r be j(-6). Find c such that 7/6*c**5 + 22/3*c**2 + 37/6*c**4 + r*c**3 + 4/3*c + 0 = 0.
-2, -1, -2/7, 0
What is y in 1/2*y**3 + 3/2*y**4 + 1/2*y**5 - 3/2*y**2 - y + 0 = 0?
-2, -1, 0, 1
Let r = 236173/18 - 13108. Let g = -25/2 + r. Factor g*w**2 - 8/9*w + 2/3.
2*(w - 3)*(w - 1)/9
Let f = -1773/4 - -12283/28. Let r = f + 380/77. Factor 10/11*q**2 + r - 14/11*q.
2*(q - 1)*(5*q - 2)/11
Suppose n = -3*n - 5*b - 13, -2 = -4*n - 2*b. Let q(r) = -r - 2. Let i(d) = 3*d**2 - 15*d + 30. Let l(h) = n*q(h) + i(h). Factor l(p).
3*(p - 4)*(p - 2)
Suppose r = 6*r. Let q(a) = -18*a - 630. Let v be q(-35). What is d in -3/5*d**2 - 3/5*d**3 + r + v*d = 0?
-1, 0
Find s, given that 2*s**5 - 13*s**3 + 15*s - 32*s**3 + 3*s**5 - 10 + 25*s**3 + 10*s**2 = 0.
-2, -1, 1
Suppose 7*a**4 + 10*a**5 - 11*a**4 + 2*a**5 - 16*a**5 = 0. Calculate a.
-1, 0
Suppose 5*q - 2*j = 0, 0 = 4*q + 3*j - 4 - 19. Factor -9*v**q + 6*v**2 + 36*v + 47 - 155.
-3*(v - 6)**2
Let t = 127 - 627/5. Let k = -12207/5 - -2443. Determine b, given that -k - 4/5*b**3 - t*b - 2*b**4 + 6*b**2 = 0.
-2, -2/5, 1
Factor 0 - 13/2*q + 1/2*q**2.
q*(q - 13)/2
Let y be ((-24)/(-66))/((-20)/(-130)). Factor -2*x**2 + y*x - 4/11.
-2*(x - 1)*(11*x - 2)/11
Let h(p) be the first derivative of -p**5/15 + p**4/3 - p**3/3 - 2*p**2/3 + 4*p/3 - 166. Solve h(i) = 0.
-1, 1, 2
Let g(o) be the third derivative of o**7/168 + o**6/80 - 19*o**5/240 - o**4/4 - o**3/6 + 21*o**2. Solve g(v) = 0 for v.
-2, -1, -1/5, 2
Let y(q) be the third derivative of q**6/200 - 7*q**5/100 + q**4/4 + 12*q**2 - q. Suppose y(s) = 0. Calculate s.
0, 2, 5
Let w(z) be the third derivative of -1/70*z**7 + 0 + 1/5*z**5 + 0*z**3 + 0*z + 1/20*z**6 - z**4 + 11*z**2. Factor w(k).
-3*k*(k - 2)**2*(k + 2)
Let z = -24 - -36. Suppose 19*x = 25*x - z. Find q such that 3/2*q**4 - 5/2*q**3 + 1/2*q + 1/2*q**x + 0 = 0.
-1/3, 0, 1
Let g(h) be the third derivative of h**5/30 + 2*h**4/3 + 4*h**3 - 2*h**2 + 1. Factor g(q).
2*(q + 2)*(q + 6)
Let o(p) be the second derivative of -p**7/12 - 11*p**6/15 - 15*p**5/8 + 5*p**4/12 + 23*p**3/3 + 6*p**2 + 181*p. Solve o(j) = 0 for j.
-3, -2, -2/7, 1
Let b(v) be the first derivative of 4*v**5/55 + v**4/22 - 2*v**3/11 - v**2/11 + 2*v/11 + 88. Solve b(r) = 0.
-1, 1/2, 1
Let m(z) be the third derivative of -64/3*z**4 - 32/3*z**3 + 2*z**2 + 72/5*z**5 - 56/15*z**6 + 0*z + 38/105*z**7 - 47. Factor m(r).
4*(r - 2)**3*(19*r + 2)
Let t be 7 + 23*(-3)/10. Let m(q) be the first derivative of 1 + 1/5*q**2 - t*q**4 + 2/25*q**5 - 2/15*q**3 + 0*q. Factor m(r).
2*r*(r - 1)**2*(r + 1)/5
Suppose 5 = p, -y + 2*p - 16 = -3*y. Suppose 42 = -11*a + 64. Factor -7*m**3 - 2*m + 2*m - a*m**2 + 9*m**y.
2*m**2*(m - 1)
Let r = 2298 - 2296. Factor -3/7 - 1/7*b**r + 4/7*b.
-(b - 3)*(b - 1)/7
Let a be (-804)/(-48) + (-72)/16 + 4. Factor 9/2 - a*b + 7/4*b**2.
(b - 9)*(7*b - 2)/4
Suppose -87*y + 2 = -86*y. Let l(v) be the first derivative of 4/9*v**3 + 4/15*v**5 - 10 + y*v**2 - 8/3*v - v**4. Let l(j) = 0. Calculate j.
-1, 1, 2
Let a(k) be the third derivative of 5*k**2 - 11/30*k**5 - 3/2*k**3 + 0 - 1/15*k**6 + 0*k - k**4 - 1/210*k**7. Determine b, given that a(b) = 0.
-3, -1
Let r(x) = x**3 - 5*x**2 - 6*x - 3. Let n be r(6). Let l(b) = 1. Let f(d) = 5*d**3 + 25*d**2 + 35*d + 18. Let s(o) = n*l(o) + f(o). Suppose s(h) = 0. What is h?
-3, -1
Factor -420 - 45*f + 857 + 3*f**2 - 437.
3*f*(f - 15)
Factor v**2 - 3*v + 6*v**2 - 4*v**2 - 70 - 2*v**2.
(v - 10)*(v + 7)
Factor 6 - 20/3*c + 2/3*c**2.
2*(c - 9)*(c 