2/3*c**3 = 0. What is c?
-1, 0, 1
Let a be 13/39*(-2 + 2). Factor a*v**2 + 1/2*v**3 + 0 - 1/2*v.
v*(v - 1)*(v + 1)/2
Let x(h) be the third derivative of -2*h**2 + 0*h**3 + 0*h + 0 + 0*h**5 + 0*h**4 + 1/240*h**6 + 1/420*h**7. Determine a, given that x(a) = 0.
-1, 0
Solve -15*o**3 - o + 3*o + 14*o**3 + o**2 = 0 for o.
-1, 0, 2
Let z(t) = 2 + 7*t**3 + 3*t + 2*t**2 - 2*t**3 - 6*t**3. Let d be z(3). What is s in 1/4*s + 0 + 1/4*s**d = 0?
-1, 0
Suppose -3*k = -5*k + 18. Let i be 6/k*-3 - -5. What is v in -1/2*v**2 - 1/2*v**4 + 0*v + v**i + 0 = 0?
0, 1
Let v be (-1 + 0)*(1 - -1). Let c be v/(-2 + (-4)/(-3)). Factor 3*n**4 + n**4 - 8*n**4 - n**5 - 4*n**3 + 5 - c + 2*n**2 + 5*n.
-(n - 1)*(n + 1)**3*(n + 2)
Let a(y) be the second derivative of y**7/8820 + y**6/2520 - y**5/210 + y**4/6 - 2*y. Let s(k) be the third derivative of a(k). Factor s(f).
2*(f - 1)*(f + 2)/7
Let j(k) be the first derivative of k**6/1260 + k**5/210 + 7*k**3/3 + 6. Let t(y) be the third derivative of j(y). Find v, given that t(v) = 0.
-2, 0
Let m = -132/23 - -419/69. Determine s so that m*s**2 + 1/3*s - 2/3 = 0.
-2, 1
Suppose 6*l = 3*l + 3. Let i = l - -1. What is v in 2 - 13*v**i + 7*v**2 + 0*v**3 - 4*v**3 = 0?
-1, 1/2
Suppose 2*u + u - 4*u = 0. Let k(y) be the second derivative of 0*y**2 + u*y**4 + 0*y**3 + 1/75*y**6 + 2*y + 0 - 1/50*y**5. Factor k(l).
2*l**3*(l - 1)/5
Let s(i) = i - 11. Let q be s(16). Let b(y) be the first derivative of -1/3*y**6 + 0*y - 8/5*y**q - y**2 - 1 - 3*y**4 - 8/3*y**3. Factor b(k).
-2*k*(k + 1)**4
Let m(c) = c**4 + c**3 - c**2 - c. Let q(v) = -12*v**2 - 2*v + 10*v**4 - 2*v + 9*v**3 + 0*v**3 - 7*v. Let h(b) = 36*m(b) - 4*q(b). What is f in h(f) = 0?
-1, 0, 2
Let r = -7 + 9. Factor -1/2 - 3/4*v - 1/4*v**r.
-(v + 1)*(v + 2)/4
Let a(r) be the first derivative of -1 + 0*r**2 + 2/3*r**3 - 2*r. Factor a(u).
2*(u - 1)*(u + 1)
Let b(w) be the first derivative of 12*w**5/35 + 4*w**4/7 - 8*w**3/21 - 8*w**2/7 - 4*w/7 + 8. Suppose b(t) = 0. What is t?
-1, -1/3, 1
Let m(q) be the second derivative of -q**4/28 + q**3/7 + 9*q**2/14 - 3*q. Solve m(h) = 0 for h.
-1, 3
Let g be 0*(-9 - -5 - -3). Let m(b) be the third derivative of b**2 + 1/8*b**4 + 0*b**5 + g*b**3 + 0 - 1/40*b**6 + 0*b. Factor m(o).
-3*o*(o - 1)*(o + 1)
Suppose -7*i = -3*i + 144. Let f be -5*(-5)/((-50)/i). Solve -f*y**3 + 21*y**4 - 13*y**3 + 9*y**2 - 5*y**3 + 6*y = 0 for y.
-2/7, 0, 1
Let k be (-2)/(-12) - 1490/(-420). Determine x, given that -4/7 + k*x**3 + 2/7*x - 4*x**5 + 38/7*x**2 - 34/7*x**4 = 0.
-1, -1/2, 2/7, 1
Suppose 9 = -2*w - 11. Let z be 30/15*(-1)/w. Determine y, given that 0 + z*y - 1/5*y**2 = 0.
0, 1
Let o(v) be the second derivative of 4/9*v**4 + 0 - 1/15*v**5 + 4/3*v**2 - 10/9*v**3 - v. Let o(q) = 0. What is q?
1, 2
Let y be -2*(-1)/(-2)*-2. Let d(s) be the first derivative of 1/2*s**4 + s**6 - 1 + 0*s + 0*s**2 + 2/3*s**3 - y*s**5. Determine f so that d(f) = 0.
-1/3, 0, 1
Suppose 0 = 3*v - 4*v - 3*c + 15, 3*v + 2*c - 10 = 0. Factor 0*b**4 + 0*b**2 + 1/4*b**5 + 0*b + v + 0*b**3.
b**5/4
Let t(y) be the third derivative of y**6/20 + y**5/30 - y**4/4 - y**3/3 + 6*y**2. Factor t(k).
2*(k - 1)*(k + 1)*(3*k + 1)
Let k = 359/2 + -3227/18. Factor 2/9*j**3 - 2/9*j - k + 2/9*j**2.
2*(j - 1)*(j + 1)**2/9
Determine m so that 3 - 8515*m + 8506*m + 6*m**2 + 0*m**2 = 0.
1/2, 1
Let u(p) be the first derivative of -1 - 1/6*p**3 - 3/4*p**2 + 0*p. Factor u(z).
-z*(z + 3)/2
Let a(v) = v**4 + 7*v**3 - 5. Let z(n) be the first derivative of n**5/5 + 2*n**4 - 6*n - 1. Let o(k) = 6*a(k) - 5*z(k). Determine c so that o(c) = 0.
-2, 0
Let n be ((-20)/(-7))/((-8)/(-28)). Suppose 0 = -t - 4*t + n. Factor 0*b + 2/3 - 2/3*b**t.
-2*(b - 1)*(b + 1)/3
Suppose 84*j - 3*j**2 + j**2 + 3 - 78*j + 5*j**2 = 0. Calculate j.
-1
Find n such that -2*n**3 - 72 + 72 = 0.
0
Let z(y) be the first derivative of -1/10*y**4 + 1/6*y**6 + 0*y**3 + 0*y - 3/25*y**5 + 0*y**2 + 3. Factor z(v).
v**3*(v - 1)*(5*v + 2)/5
Let w = -10/19 - -49/57. Let o(u) be the second derivative of u + 0 + 1/3*u**3 + w*u**2 - 2/9*u**4. Determine n so that o(n) = 0.
-1/4, 1
Let -15*b**2 - 4/3 - 8*b - 25/3*b**3 = 0. Calculate b.
-1, -2/5
Suppose -k + 5 = -2. Let a(f) be the third derivative of 0*f**4 + 0*f**3 + 2*f**2 + 0 - 1/105*f**k + 1/504*f**8 + 1/60*f**6 + 0*f - 1/90*f**5. Factor a(x).
2*x**2*(x - 1)**3/3
Suppose 0 = -2*g - 4*b + 8, 5*b - 1 = -6. Let z(y) = y**2 + 9*y + 10. Let q be z(-8). Find s, given that -2/3 + 4*s - g*s**q = 0.
1/3
Let j(b) = 2*b**3 + 0*b + b - 8*b**2 + 5*b**2. Let a(z) = z**3 - z**2. Let q(w) = 5*a(w) - 2*j(w). What is i in q(i) = 0?
-2, 0, 1
Let a(r) = -8*r**3 - 8*r**2 + 6*r + 5. Let l(m) = -15*m**3 - 15*m**2 + 12*m + 9. Let d(t) = 9*a(t) - 5*l(t). Solve d(c) = 0.
-2, 0, 1
Let l(j) be the second derivative of -j**5/60 + j**4/24 - j**2/2 + 3*j. Let a(d) be the first derivative of l(d). Let a(n) = 0. What is n?
0, 1
Let c(q) be the first derivative of -q**4/4 - 2*q**3/3 - q**2/2 - 16. Find b such that c(b) = 0.
-1, 0
Determine r so that 9 - 4*r**2 + 32*r + 2 - 30 - 45 = 0.
4
Suppose y - 7*y = 102. Let s = -33/2 - y. Factor -1/2*v**3 - 3/2*v - 3/2*v**2 - s.
-(v + 1)**3/2
Let k(s) be the third derivative of -s**6/480 - s**5/48 - 7*s**4/96 - s**3/8 - 2*s**2. Suppose k(y) = 0. What is y?
-3, -1
Let y(z) be the first derivative of -2*z**5/55 - 3*z**4/22 - 2*z**3/11 - z**2/11 + 8. Factor y(o).
-2*o*(o + 1)**3/11
Let k(d) be the third derivative of d**8/1120 + d**7/630 - d**6/120 - d**5/30 + d**4/8 + 6*d**2. Let x(i) be the second derivative of k(i). Factor x(v).
2*(v - 1)*(v + 1)*(3*v + 2)
Factor 2/9*i**3 + 10/9*i**2 + 16/9*i + 8/9.
2*(i + 1)*(i + 2)**2/9
Let s(d) = d**4 + 17*d**3 + 8*d**2 + d + 9. Let l(n) = -4*n**3 - 2*n**2 - 2. Let p be 23/2*6/(-3). Let r = p + 14. Let c(u) = r*l(u) - 2*s(u). Factor c(w).
-2*w*(w - 1)**2*(w + 1)
Let z(x) be the third derivative of 0*x**3 + 0*x**4 + 1/150*x**5 + 6*x**2 + 0 + 0*x - 1/300*x**6. Factor z(g).
-2*g**2*(g - 1)/5
Suppose 4*y**3 + 5*y**4 - 10*y**3 + y**3 = 0. What is y?
0, 1
Let a(m) be the second derivative of -m**5/25 + m**4/6 - m**3/15 - 2*m**2/5 + 7*m. Solve a(b) = 0.
-1/2, 1, 2
Let g(m) = -m + 13. Let w be g(6). What is j in j**3 - 3 + w*j**2 - 4*j**2 - 1 = 0?
-2, 1
Let v(s) = 2*s**2 + 1. Let m be v(-1). Suppose -w + 35 = 5*i + 3*w, m*w = 5*i. Determine d so that d**5 + 0*d**5 + 4*d**4 - 3*d**5 - 2*d**i = 0.
0, 1
Let b(h) = -h**3 + 3*h**2 + 5*h - 2. Let i = 3 - -1. Let q be b(i). Factor 0*d - 2*d**4 + 2*d - 2*d**3 + q*d**2 + 0*d**2 + 0*d**2.
-2*d*(d - 1)*(d + 1)**2
Suppose 3*i - 2*k + 76 = i, -4*i - 154 = -5*k. Let c = i + 40. Let 3*g**4 + 0*g + 4/3*g**2 + 0 - c*g**3 = 0. What is g?
0, 2/3
Find x, given that 0*x + 2/11*x**2 + 2/11*x**3 + 0 = 0.
-1, 0
Let r(q) = q**3 + 9*q**2 + 6. Let s be r(-9). Suppose -x + s - 3 = 0. Suppose 2*m**3 + 2*m**2 - 3*m**x - 2*m**5 - 4*m**4 - m + 4*m**3 - 2*m**5 = 0. What is m?
-1, 0, 1/2
Let d = -39 - -41. Let t(y) be the first derivative of 1/9*y**3 - 3 + 0*y + 1/3*y**d. Find u, given that t(u) = 0.
-2, 0
Let o(v) be the first derivative of v**5/90 - v**4/18 - 2*v**2 - 8. Let c(b) be the second derivative of o(b). Suppose c(k) = 0. Calculate k.
0, 2
Let w(l) be the second derivative of -l**6/15 + l**5/10 + l**4/2 - l**3/3 - 2*l**2 + 29*l. Solve w(z) = 0 for z.
-1, 1, 2
Let b = -45 - -48. Let a(y) be the second derivative of 1/30*y**6 + 0*y**2 + 1/3*y**b + 1/5*y**5 + 0 - y + 5/12*y**4. Factor a(u).
u*(u + 1)**2*(u + 2)
Factor 3 - 6*d**3 + 8*d + 43*d**4 - 3 - 45*d**4.
-2*d*(d - 1)*(d + 2)**2
Let i be 1/5*-2 - (-44)/60. Determine q, given that 0 - 1/3*q**3 + 0*q + 0*q**4 + 0*q**2 + i*q**5 = 0.
-1, 0, 1
Let u(d) = -3*d**3 + 4*d**2 - d - 3. Let l(j) = 2*j**3 - 4*j**2 + 2*j + 4. Let x(h) = 3*l(h) + 4*u(h). Factor x(k).
-2*k*(k - 1)*(3*k + 1)
Let k(f) = -2*f**4 + 15*f**3 - 18*f**2 + 19*f - 9. Let n(y) = y**4 - 7*y**3 + 9*y**2 - 9*y + 4. Let t(i) = 2*k(i) + 5*n(i). Factor t(l).
(l - 2)*(l - 1)**3
Let u(h) be the first derivative of -1/2*h**5 + 2*h + 1/15*h**6 + 4/3*h**3 + 1 + h**4 - 8*h**2. Let r(c) be the first derivative of u(c). Factor r(j).
2*(j - 2)**3*(j + 1)
Let q be 26/(-39) + 3 + 0. Let c(s) be the first derivative of 5/2*s**2 - q*s**3 - 1 + 2*s. Factor c(p).
-(p - 1)*(7*p + 2)
Suppose 28 = 3*n + n. Suppose n + 5 = 3*i. Solve 4*h + 6*h**3 + 9*h**2 - i*h - 5*h