e 2 - (0 + -2 + 6). Let p be 4/k + (-8 - -10). Solve -2/3*b + 0 + p*b**2 + 2/3*b**3 = 0.
-1, 0, 1
Suppose -5*t = -t - 12. Suppose 21*y**t + 8*y - 48*y**2 - 2 - 3 + 25*y - 1 = 0. Calculate y.
2/7, 1
Let b(k) be the third derivative of -k**5/600 - k**2 + 19. Determine j so that b(j) = 0.
0
Suppose -6 + 8 + 12*i**4 + 9*i**3 + 1 - 9*i - 15*i**2 = 0. Calculate i.
-1, 1/4, 1
Let w(j) be the second derivative of j**7/2940 - j**5/140 + j**4/42 - j**3/3 - 3*j. Let o(d) be the second derivative of w(d). Suppose o(v) = 0. What is v?
-2, 1
What is y in 3*y**2 - 2*y**3 - y - 4*y**2 + 5*y - y**2 = 0?
-2, 0, 1
Suppose 2*q - 1 = 3. Let -4/9*y**q - 2/3*y - 2/9 = 0. What is y?
-1, -1/2
Let u(i) be the second derivative of -i**6/45 - i**5/60 + i**4/12 + i**3/18 - i**2/6 + 17*i. Suppose u(z) = 0. What is z?
-1, 1/2, 1
Let d = 1/2 - 0. What is r in -8*r**3 - 4*r**2 - d + 7/2*r = 0?
-1, 1/4
Suppose 2*i - 40 = 7*i. Let d be 11/4 - i/32. Factor 1/2*v - 1/2*v**d + 0*v**2 - 1/4*v**4 + 1/4.
-(v - 1)*(v + 1)**3/4
Let j(b) = -b**4 + b**3 - b**2 + 1. Let h(p) = -7*p**4 + 4*p**3 - 5*p**2 + 2*p + 6. Let x(z) = -h(z) + 6*j(z). Factor x(a).
a*(a - 1)*(a + 1)*(a + 2)
Let g(p) = -p - 4. Let q = 17 + -24. Let u be g(q). Solve -5 + u + 2 + l**2 + 2*l = 0.
-2, 0
Let k(b) = -3*b**3 - 6*b**2 + 6*b - 2. Let i(q) = 7*q**3 + 13*q**2 - 12*q + 5. Let o(c) = -2*i(c) - 5*k(c). Let w be o(-5). Factor u**2 - w*u + 3*u - 2*u**2.
-u*(u + 2)
Let g(y) = 3*y**3 + 7*y**2 + 5*y + 5. Let a(n) = 2*n**3 + 4*n**2 + 3*n + 3. Let w(u) = -5*a(u) + 3*g(u). Factor w(q).
-q**2*(q - 1)
Let j(z) be the third derivative of z**5/240 - z**4/96 + 8*z**2. Let j(x) = 0. Calculate x.
0, 1
Let s(n) be the first derivative of -n**5/20 - n**4/12 - 6*n - 6. Let i(x) be the first derivative of s(x). Solve i(w) = 0.
-1, 0
Let x(l) be the second derivative of -l**4/6 + 5*l**3/21 + 2*l**2/7 + 19*l. Determine d, given that x(d) = 0.
-2/7, 1
Let b(f) be the third derivative of -f**8/2016 - f**7/126 - 11*f**6/240 - f**5/9 - f**4/9 + 5*f**2. Factor b(a).
-a*(a + 1)**2*(a + 4)**2/6
Let s = 40 + -24. Let p be -1 - (-5)/(10/6). Factor -j - 2*j**p + 16 - s - j**3.
-j*(j + 1)**2
Let p(t) be the first derivative of t**8/5040 - t**7/840 + t**6/1080 + t**5/120 - t**4/36 + 4*t**3/3 + 2. Let w(u) be the third derivative of p(u). Factor w(y).
(y - 2)*(y - 1)**2*(y + 1)/3
Let l = -94 - -98. Solve -6/5*z**2 - 4/5*z + 0*z**3 + 2/5*z**l + 0 = 0.
-1, 0, 2
Let w(q) be the second derivative of -1/4*q**4 + 0*q**5 + 5*q + 0*q**3 + 0 + 1/10*q**6 + 0*q**2. Solve w(n) = 0.
-1, 0, 1
Let x(w) be the second derivative of -w**6/240 - 8*w. Find b such that x(b) = 0.
0
Let v(h) be the third derivative of 1/8*h**4 + 0*h**3 + 4*h**2 + 0 - 3/40*h**6 + 0*h - 1/10*h**5. Factor v(k).
-3*k*(k + 1)*(3*k - 1)
Suppose 0 = -3*w - 4*c + 22 - 5, 3 = -w + 3*c. Let s(g) be the third derivative of -1/3*g**w + 0 - 1/10*g**5 - g**2 + 0*g + 1/4*g**4 + 1/60*g**6. Factor s(r).
2*(r - 1)**3
Suppose 0 = -3*m - 0*m + 156. Find l, given that -m - 2*l**3 + 52 + 2*l = 0.
-1, 0, 1
Let z = 579/4 - 143. Solve -z*p + 7/4*p**3 + 1/2 + 9/4*p**4 - 11/4*p**2 = 0.
-1, 2/9, 1
Solve 0 + 3/2*z - 3/4*z**2 = 0.
0, 2
Suppose 26 = 3*g + 4*p, 0*p = -2*p + 10. Factor 18*i**g + 20*i**2 - 3*i**2 - 36*i - 11*i**2 - 4*i**3.
-4*i*(i - 3)**2
Let i(w) = -12*w**2 + 60*w - 40. Let k = 16 - 8. Let d(o) = 8*o**2 - 40*o + 27. Let p(s) = k*d(s) + 5*i(s). Factor p(u).
4*(u - 4)*(u - 1)
Let p be -2 - 6*(-3)/2. Suppose -p*n - 16 = -9*n. Factor n*j**3 - 9*j**2 + 3*j**2 + 2*j + 6*j**2 - 8*j**2.
2*j*(2*j - 1)**2
Suppose 0 = -0*d + 5*d. Suppose -9/4*y**3 + d*y + 0 + 1/2*y**2 - 5/4*y**5 + 3*y**4 = 0. What is y?
0, 2/5, 1
Let r(v) be the first derivative of v**4/8 - v**3/3 + v**2/4 - 40. Factor r(x).
x*(x - 1)**2/2
Let i(f) be the second derivative of 5/27*f**3 + 3*f + 1/90*f**5 + 2/27*f**4 + 0 + 2/9*f**2. Find g, given that i(g) = 0.
-2, -1
Factor 3*k + 4*k + 9 - k**2 - k - 2*k**2.
-3*(k - 3)*(k + 1)
Let s(b) be the second derivative of 1/3*b**3 + 0 - b - 1/2*b**4 + 2*b**2. Solve s(x) = 0 for x.
-2/3, 1
Let a(b) be the second derivative of -b**9/3024 + b**7/840 + b**3/6 - 2*b. Let k(l) be the second derivative of a(l). Factor k(f).
-f**3*(f - 1)*(f + 1)
Suppose -8*r + 3*r = 0. Factor d**4 + r*d**3 + d**3 - 4*d**3 + 4*d.
d*(d - 2)**2*(d + 1)
Let b(v) = v**2 - 4*v - 2. Let g = -7 - -12. Let u be b(g). Solve 2*l**u + 4*l**2 + 1/2 + 5/2*l = 0.
-1, -1/2
Let y(s) = 7*s + 3. Let x be y(0). Let o = -17/6 + 19/6. Factor u**4 - u + 2/3*u**x + 1/3*u**5 - 2/3*u**2 - o.
(u - 1)*(u + 1)**4/3
Let g(a) be the third derivative of -5*a**8/336 - a**7/105 + a**6/24 + a**5/30 - 24*a**2. Determine b so that g(b) = 0.
-1, -2/5, 0, 1
Let q = -275 - -2479/9. Let y(k) be the first derivative of -q*k**3 - 1/2*k**4 + 1/9*k**6 + 0*k**2 + 0*k - 4 + 0*k**5. Factor y(g).
2*g**2*(g - 2)*(g + 1)**2/3
Suppose 2*p = -p + 6. Let k(q) be the first derivative of 2/21*q**3 + 0*q + 2 + 1/7*q**p. Let k(n) = 0. What is n?
-1, 0
Solve 7/2*v**4 + 2 - 13/2*v**3 + 5/2*v**5 - 11/2*v**2 + 4*v = 0 for v.
-2, -1, -2/5, 1
Suppose 2 = 2*c + i - 4, c - 3*i = 10. Find j such that -2*j**4 + 6*j**2 - 7*j**4 - 2*j + j**c = 0.
-1, 0, 1/2
Let o(m) be the first derivative of m**5/15 - 2*m**3/9 + m/3 + 32. Factor o(q).
(q - 1)**2*(q + 1)**2/3
Let d be 7/4 + (-2)/(-8). Factor 5*q - 2 + d - q - 10*q**2.
-2*q*(5*q - 2)
Determine k so that -12*k**2 - 25*k**3 + 17*k**2 + 16*k - 5 + 9*k = 0.
-1, 1/5, 1
Let z(n) be the second derivative of -n**6/75 - 2*n**5/25 - 8*n. Factor z(k).
-2*k**3*(k + 4)/5
Let z be -1*(1 + 2 + -2). Let f be (0 - z) + -1 + 10. Factor 4 - 7*x**2 + 4*x + 20*x**2 + 5*x**2 + 2*x**4 - 18*x - f*x**3.
2*(x - 2)*(x - 1)**3
Solve -t**2 + 1/2*t**4 - 3/4*t + 0 + 1/4*t**3 = 0.
-1, 0, 3/2
Let y = -362/21 - -123/7. Let 2*u**2 + 1/3*u**4 + y - 4/3*u**3 - 4/3*u = 0. What is u?
1
Suppose 6 - 1 = h. Let p be 2 - (2 + 4)/(-2). Factor 3*v**4 - p*v**2 + h*v**2.
3*v**4
Let x(u) be the second derivative of 5*u - 1/18*u**3 + 0*u**2 + 1/36*u**4 + 0. Solve x(b) = 0 for b.
0, 1
Factor 2/5*x**4 + 0*x + 4/5*x**2 - 6/5*x**3 + 0.
2*x**2*(x - 2)*(x - 1)/5
Let r(s) be the first derivative of -s**8/168 + s**7/35 - s**6/30 - 3*s**2/2 + 2. Let l(k) be the second derivative of r(k). Factor l(m).
-2*m**3*(m - 2)*(m - 1)
Suppose 3*c = 2*q + 3, -2*q + 6*q = -c + 15. Let -11/5*z**q + 0 + 0*z + 9/5*z**4 + 2/5*z**2 = 0. What is z?
0, 2/9, 1
Let m(u) be the third derivative of u**7/1260 - u**6/120 + u**5/30 - u**4/6 - 4*u**2. Let n(l) be the second derivative of m(l). Factor n(r).
2*(r - 2)*(r - 1)
Let m(n) = -32*n**3 - 32*n**2 + 20*n + 20. Let w(u) = 13*u**3 + 13*u**2 - 8*u - 8. Let h(j) = -2*j - 2. Let b be h(5). Let f(o) = b*w(o) - 5*m(o). Factor f(s).
4*(s - 1)*(s + 1)**2
Let p(w) = -4 + 1 + 8*w**3 - 18*w + 20 + 27*w**2. Let i(x) = 3*x**3 + 9*x**2 - 6*x + 6. Let h(c) = -17*i(c) + 6*p(c). Solve h(g) = 0 for g.
0, 1, 2
Let t(o) be the first derivative of 0*o**2 + 0*o + 1/16*o**4 - 1/20*o**5 - 3 + 0*o**3. Suppose t(w) = 0. What is w?
0, 1
Let p = -57 + 59. Factor 0 + 4/3*g**3 + 0*g + 4/3*g**p + 1/3*g**4.
g**2*(g + 2)**2/3
Let x(c) be the third derivative of -c**7/630 + c**6/72 - c**5/20 + 7*c**4/72 - c**3/9 + 8*c**2. Let x(p) = 0. Calculate p.
1, 2
Let c(n) be the third derivative of n**8/896 + n**7/280 + n**6/320 - n**2. Factor c(i).
3*i**3*(i + 1)**2/8
Let m(o) be the first derivative of -1/6*o**6 + 0*o - 4 + 2/5*o**5 + 3/4*o**4 - 4/3*o**3 - 2*o**2. Determine f, given that m(f) = 0.
-1, 0, 2
Let m be 9/(-81) - 5/(-4 + -11). Factor 0 - m*i**2 + 2/9*i**4 + 2/9*i**3 - 2/9*i.
2*i*(i - 1)*(i + 1)**2/9
Suppose -g**3 - 3*g**2 - 10 - 12*g + 2 - 3*g**2 = 0. Calculate g.
-2
Let g be (6/(-7))/(1/7). Let o be g/(-2) - 1 - 0. Find x, given that -1/2*x**3 + 1/2*x**o + 0*x + 0 = 0.
0, 1
Determine f so that -3*f**4 - 20/7*f + 4/7 + 20/7*f**3 + 17/7*f**2 = 0.
-1, 2/7, 2/3, 1
Factor -52/7*l**2 - 4/7*l**3 - 60/7 + 116/7*l.
-4*(l - 1)**2*(l + 15)/7
Let c = 896/25 - 38107/1050. Let o = -2/7 - c. Find t such that -o*t**2 - 1/6*t + 0 = 0.
-1, 0
Let n be ((-2)/(-8))/(-2 - -3). Factor -1/4*z**3 - n*z**4 + 0*z + 0 + 0*z**2.
-z**3*(z + 1)/4
Let j be (-7)/(-315)*6*12. Let -j - 49/5*s**3 - 14*s**2 + 52/5*s = 0. Calculate s.
-2, 2/7
Let x(l) be the third derivative of 19/140*l**6 - 1/7*l**3 + 0*l + 0 + 13/56*l**4 - 8/35*l**5 - 2*l*