 Let h(j) = 0. What is j?
-1, 0, 1, 3
Let c(j) be the first derivative of j**6/6 - j**5/5 + 15. Factor c(y).
y**4*(y - 1)
Let a(h) = -56*h**2 - 166*h - 210. Let r(i) = 5*i**2 + 15*i + 19. Let z(m) = -6*a(m) - 68*r(m). Suppose z(o) = 0. What is o?
-4, -2
Let c(y) be the second derivative of y**6/20 + 3*y**5/40 + 13*y. Let c(j) = 0. Calculate j.
-1, 0
Let i(y) be the first derivative of -y**2 - 1/3*y**3 - 1/8*y**4 + 2 + 0*y - 1/60*y**5. Let g(u) be the second derivative of i(u). Factor g(a).
-(a + 1)*(a + 2)
Let u(i) be the first derivative of i**3/2 + 6*i**2 + 24*i + 3. Factor u(w).
3*(w + 4)**2/2
Suppose -m = -5*m + 12. Factor -k**2 + 3*k**3 + 3*k - 3*k - 5*k**m - k**4.
-k**2*(k + 1)**2
Suppose 5*l + p = -54 + 57, 0 = 4*l - 3*p + 9. Let m(a) = 2*a**3 - a**2 + a. Let t be m(1). Factor l - 1/5*r**t + 0*r.
-r**2/5
Let w(u) be the third derivative of u**7/840 + u**6/960 + u**4/8 - 2*u**2. Let d(b) be the second derivative of w(b). Determine n so that d(n) = 0.
-1/4, 0
Let i(n) = n**3 - 4*n**2 + 4*n - 1. Let l be i(3). Solve -6/7*x**l - 2/7*x**3 + 0 - 4/7*x = 0 for x.
-2, -1, 0
Let b(y) = -y + 1. Let p be b(-3). Suppose -4*a + 2 + 2 = p*k, -5 = -2*a + k. Suppose 2*d**2 - d**a + 3*d - 4*d = 0. Calculate d.
0, 1
Let h(r) be the third derivative of -2/105*r**7 + 0*r**5 + 2/3*r**3 + 1/15*r**6 - 1/3*r**4 + 0 + 7*r**2 + 0*r. Find p, given that h(p) = 0.
-1, 1
Suppose -g = -3*c + 21 - 5, -3*c = -6. Let y = 10 + g. Find t such that t**2 + y*t - 1/2 - 1/2*t**4 + 0*t**3 = 0.
-1, 1
Let j = 0 - 1. Let y be (-1 - j)*(4 + -3). Factor y - 4/11*t**2 + 2/11*t.
-2*t*(2*t - 1)/11
Let c(d) be the second derivative of 7/15*d**3 + 1/10*d**5 + 3/10*d**4 + 3*d + 1/75*d**6 + 2/5*d**2 + 0. Find i such that c(i) = 0.
-2, -1
What is v in 0*v**2 + 0 + 6/19*v**5 - 8/19*v**4 + 0*v + 2/19*v**3 = 0?
0, 1/3, 1
Let r be (45/(-75))/(2/(-20) + -2). Determine l, given that 2/7*l + 2/7*l**2 - 2/7 - r*l**3 = 0.
-1, 1
Solve -15/2*k**2 + 6 + 3/2*k**4 + 0*k**3 + 0*k = 0 for k.
-2, -1, 1, 2
Let b(t) be the third derivative of t**7/224 + t**6/160 - t**5/80 - t**3/2 - 2*t**2. Let k(z) be the first derivative of b(z). Factor k(u).
3*u*(u + 1)*(5*u - 2)/4
Let s(j) be the third derivative of j**7/1260 - j**5/180 + 2*j**3/3 + 4*j**2. Let b(l) be the first derivative of s(l). Factor b(m).
2*m*(m - 1)*(m + 1)/3
Let b(v) be the first derivative of 3*v**4/8 - 6*v**3 + 36*v**2 - 96*v + 8. Factor b(j).
3*(j - 4)**3/2
Factor -32 + 8*w**3 + 74*w - 36*w**3 + 14*w + 99*w**2 - 7*w**2.
-4*(w - 4)*(w + 1)*(7*w - 2)
Factor 0*g - 1/4*g**2 + 1/4.
-(g - 1)*(g + 1)/4
Let f(v) be the second derivative of -v**5/70 + v**4/42 + v**3/21 - v**2/7 - 3*v. Factor f(q).
-2*(q - 1)**2*(q + 1)/7
Let b be 2/(-6) + 35/15. Let 2*k**4 - 2*k**2 - 15 - b*k + 2*k**3 + 15 = 0. What is k?
-1, 0, 1
Let i(n) be the third derivative of 0*n - 1/5*n**4 + 0 - 4/15*n**3 - 13/150*n**5 - 1/525*n**7 - 1/50*n**6 - 8*n**2. Determine o so that i(o) = 0.
-2, -1
Let r be 2 + -2 - 4/(-6). Solve -8/3*c**2 - r + 8/3*c = 0 for c.
1/2
Let w(j) be the second derivative of -3*j**5/80 - j**4/16 - 5*j. Factor w(x).
-3*x**2*(x + 1)/4
Let o(x) be the third derivative of 0*x**4 + 0*x + 2/15*x**3 - 1/100*x**5 + 4*x**2 - 1/600*x**6 + 0. Factor o(w).
-(w - 1)*(w + 2)**2/5
Suppose 3*r - 36 = -4*x, r = x + x + 2. Let g(l) = -l**2 + 7*l + 11. Let u be g(r). Factor -q - 2*q**u + q**3 + 2*q**2 - 4*q**2.
-q*(q + 1)**2
Let o(v) be the first derivative of v**6/300 - v**5/150 - v**4/60 + v**3/15 + v**2/2 - 1. Let b(g) be the second derivative of o(g). Solve b(h) = 0 for h.
-1, 1
Let m = -167/3 + 56. Factor 1/3*n**2 - 1/3 - 1/3*n**3 + m*n.
-(n - 1)**2*(n + 1)/3
Find i, given that -5*i**4 - 5*i**5 + 10*i**3 - 15*i**4 - 5*i - 13 + 40*i**2 - 7 = 0.
-4, -1, 1
Suppose -15 = 2*f - 3*f. Factor -21*u**4 + 30*u**3 - f*u**5 - 4*u**2 - 6*u**3 - 34*u**5.
-u**2*(u + 1)*(7*u - 2)**2
Let t(n) be the first derivative of -n**4/2 + 4*n**3/3 - 11. Factor t(g).
-2*g**2*(g - 2)
Let a(x) = 21*x**4 - 42*x**3 - 48*x**2 + 69*x + 69. Let r(k) = -3*k**4 + 6*k**3 + 7*k**2 - 10*k - 10. Let s(q) = -2*a(q) - 15*r(q). Factor s(w).
3*(w - 2)**2*(w + 1)**2
Let h(l) be the third derivative of 0*l**3 - 1/784*l**8 - 2/7*l**4 + 0 - 3/35*l**6 - 8/35*l**5 + 7*l**2 - 4/245*l**7 + 0*l. Factor h(o).
-3*o*(o + 2)**4/7
Suppose 12*o + 0*o**2 + 12 - 3*o**3 - 3/4*o**4 = 0. Calculate o.
-2, 2
Factor -2/7*a + 0 + 0*a**2 + 2/7*a**3.
2*a*(a - 1)*(a + 1)/7
Let k(f) = 4*f**3 - 14*f**2 - 20*f - 2. Suppose 0 = -2*z - z + 30. Let u(w) = -w**3 + 5*w**2 + 7*w + 1. Let t(q) = z*u(q) + 3*k(q). Factor t(n).
2*(n + 1)**2*(n + 2)
Let c be ((-30)/(-9))/(2/3). Let x be ((-8)/c)/(10/(-25)). Let 2*f**x + 2*f**2 + 2*f - 4*f**2 - 6*f**3 + 4*f**3 = 0. What is f?
-1, 0, 1
Factor -1/3*j**3 + 0 + 0*j + 2/3*j**2.
-j**2*(j - 2)/3
Let b be (2 + -2)/((-2)/4*6). Determine s so that 0*s - 5/6*s**5 + b - 7/6*s**4 + 0*s**2 - 1/3*s**3 = 0.
-1, -2/5, 0
Let s = 32 + -38. Let f = 8 + s. Factor 0*p + 0*p**f + 0 + 0*p**3 + 1/2*p**5 + 0*p**4.
p**5/2
Let t(p) be the third derivative of -p**8/840 - 2*p**7/525 - 7*p**2. Solve t(w) = 0.
-2, 0
What is c in 0*c + 0 - 3/2*c**2 + 1/2*c**3 = 0?
0, 3
Let n be 2/(-6)*(-4)/8. Let o(t) be the first derivative of 0*t + n*t**3 + 1/16*t**4 - 2 + 1/8*t**2. Factor o(f).
f*(f + 1)**2/4
Suppose -22 = -2*f + 5*m, m + 18 = 2*f - 2*m. Determine b, given that -f*b + 2*b**3 + b**4 + 6*b - b**5 = 0.
-1, 0, 2
Let t(z) = -z**3 + z**2 + 19*z - 4. Let a(q) = -q**3 - q**2 - q. Let d(x) = 5*a(x) + t(x). Determine y so that d(y) = 0.
-2, 1/3, 1
Suppose -4 = j - 6. Let k(c) be the third derivative of 0*c**3 + 0*c**5 + 0*c**4 + 0*c + 1/120*c**6 + c**j + 0. Determine u so that k(u) = 0.
0
Let d(f) = 2*f**4 - 5*f**3 - 4*f**2 - 5*f + 2. Let q(g) = -g**4 + 2*g**3 + 2*g**2 + 2*g - 1. Let b(z) = 6*d(z) + 15*q(z). Let b(p) = 0. Calculate p.
-1, 1
Let r(z) be the first derivative of -1 - 2/35*z**5 + 0*z**2 + 0*z + 1/7*z**4 - 2/21*z**3. Factor r(n).
-2*n**2*(n - 1)**2/7
Let p = -89345/2093 - 8/299. Let f = p - -43. Factor 6/7*n**2 - 6/7*n + 2/7 - f*n**3.
-2*(n - 1)**3/7
Suppose 0 = -5*y + 25, -3*u = 2*u - 5*y + 55. Let a = 8 + u. Factor -1/4*k**a + 0*k - 1/4*k**3 + 1/4*k**4 + 0 + 1/4*k**5.
k**2*(k - 1)*(k + 1)**2/4
Let m(i) be the first derivative of i**5/40 + 3*i**4/16 + i**3/2 + i**2/2 + 31. Suppose m(b) = 0. Calculate b.
-2, 0
Find w such that -8*w**3 + 6*w**2 + 5*w**3 - w**4 - 2*w**4 = 0.
-2, 0, 1
Let c be (13/(-52) - 102/(-56)) + -1. Suppose 6/7*t**2 + c*t + 0 = 0. What is t?
-2/3, 0
Let p = 8/7 + 0. Let i = 38/21 - p. Let 4/3*s**2 + 0*s - i + 0*s**3 - 2/3*s**4 = 0. Calculate s.
-1, 1
Suppose -u + 4*p - 1 + 9 = 0, 4*u = -5*p - 10. Let x = 0 + u. Factor x + 1/3*z**2 + 0*z.
z**2/3
Let t(f) be the second derivative of f**7/336 - 7*f**6/240 + 7*f**5/80 - f**4/12 + 6*f - 6. Let t(m) = 0. What is m?
0, 1, 2, 4
Let m(z) be the third derivative of z**6/720 + z**5/120 + z**4/48 + z**3/36 - 10*z**2. Determine u so that m(u) = 0.
-1
Determine r, given that 2/3*r - 5/3*r**2 - 1/3*r**3 + 0 + 2*r**4 = 0.
-1, 0, 1/2, 2/3
Let f(k) be the second derivative of -k**6/135 + 2*k**5/45 - k**4/18 - 15*k. Factor f(b).
-2*b**2*(b - 3)*(b - 1)/9
Factor 3/7*w**2 - 9/7*w + 0.
3*w*(w - 3)/7
Let b(j) be the first derivative of -1/3*j + 0*j**2 - 4 + 1/9*j**3. Solve b(c) = 0.
-1, 1
Suppose 0 = -j - 4 - 1, 4*q - 5*j = 49. Factor -3/2 + q*i**4 - 33/2*i**3 - 3/2*i + 27/2*i**2.
3*(i - 1)**3*(4*i + 1)/2
Let d(c) = -2*c**2 + 51*c + 26. Let i be d(26). Let m(x) be the first derivative of 1/2*x**3 - 1/8*x**4 - 1/2*x**2 + i*x + 4. Factor m(j).
-j*(j - 2)*(j - 1)/2
Factor -2/7*o**5 + 0*o + 0*o**3 + 0*o**2 + 2/7*o**4 + 0.
-2*o**4*(o - 1)/7
Let t(v) be the third derivative of -4/21*v**3 + 0*v - 11/420*v**6 + 0 + 1/735*v**7 + 2/21*v**4 + 1/70*v**5 + 1/392*v**8 + 8*v**2. Suppose t(q) = 0. What is q?
-2, -1, 2/3, 1
Let g(l) = -l**3 + l**2 + l + 1. Let s be g(0). Let w(y) = 2*y**2 + 1. Let k be w(s). Find n such that -2/7*n**2 - 2/7*n + 2/7 + 2/7*n**k = 0.
-1, 1
Let q(u) = -137*u - 547. Let b be q(-4). Factor -k - b - 1/4*k**2.
-(k + 2)**2/4
Let t(p) be the first derivative of -p**5/150 - p**4/60 + 3*p**2/2 - 3. Let g(a) be the second derivative of t(a). Find o, given that g(o) = 0.
-1, 0
Let p(a) be the third derivative of -5*a**8/16 - 11*a**7/70 + 9*a**6/4 - 13*a**5/5 + a**4 - 9*a**2. Let p