.
2*y**2*(y + 1)**2/7
Let i(h) = -5*h**3 - 6*h**2 - 4*h - 1. Let z(k) = 0*k**4 + 3*k**4 + k**3 - 2*k**3 - 2*k**4. Let o(l) = 2*i(l) - 2*z(l). Factor o(a).
-2*(a + 1)**4
Let z(y) be the first derivative of -y**5/80 + y**4/8 - 3*y**3/8 + 7*y**2/2 + 1. Let a(f) be the second derivative of z(f). Factor a(u).
-3*(u - 3)*(u - 1)/4
Let y = 5 - -1. Let n be y/9*(-3)/(-1). Let -2*d**5 + 0 - 15/2*d**3 - 13/2*d**4 - 1/2*d - 7/2*d**n = 0. What is d?
-1, -1/4, 0
Let o = -5398 - -15935/3. Let g = o - -87. Solve 0*c**3 + 0*c + g*c**4 + 0 - 2/3*c**2 = 0 for c.
-1, 0, 1
Let t(l) be the second derivative of -l**5/20 - l**4/6 - l**3/6 + l. Let z be t(-1). What is f in z + 0*f - 1/4*f**4 - 1/4*f**3 + 0*f**2 = 0?
-1, 0
Factor 1 - 1/3*a - a**2 + 1/3*a**3.
(a - 3)*(a - 1)*(a + 1)/3
Let l(c) be the second derivative of -c**9/12096 + c**7/1680 - c**5/480 + c**3/3 - 3*c. Let k(d) be the second derivative of l(d). What is p in k(p) = 0?
-1, 0, 1
Let c(f) = -f**3 + 3*f + 1. Let j be c(-2). Find s, given that -6*s**2 + 0*s**j + 4*s**2 + 2*s**3 = 0.
0, 1
Suppose -2*a + 5*k + 18 = -0*k, -2*k - 4 = 0. Let o(x) = -x**3 - 5*x**2 - x - 5. Let v be o(-5). Solve 1 - g**a - 4*g + v*g + 2*g + 2*g**3 = 0 for g.
-1, 1
Let b(j) be the third derivative of j**6/30 - j**5/15 - j**4/3 - 13*j**2. Suppose b(v) = 0. What is v?
-1, 0, 2
Let s(z) be the first derivative of -2*z**3/33 + 2*z/11 + 5. Factor s(h).
-2*(h - 1)*(h + 1)/11
Suppose l - 11*a = -7*a - 14, l + 6 = 2*a. Let 1/3*x**2 - l*x + 3 = 0. What is x?
3
Let z be 7/((-84)/8) - (-116)/168. Let i(g) be the second derivative of 2*g + 0 + z*g**4 + 0*g**2 + 2/21*g**3. What is h in i(h) = 0?
-2, 0
Determine u so that -13/6 + 1/6*u**3 + 9/2*u - 5/2*u**2 = 0.
1, 13
Let v = 9 - -1. Let x be (-3 + 34/10)*v. Determine k, given that -2/7*k**3 + 0*k + 2/7*k**5 + 0*k**x + 0 + 0*k**2 = 0.
-1, 0, 1
Let o(m) = -3*m**3 - 2 - 1 - 9*m**2 - 2*m - 14*m. Let y be (5/4)/(1/4). Let z(f) = 2*f**3 + 6*f**2 + 11*f + 2. Let k(p) = y*o(p) + 7*z(p). Factor k(j).
-(j + 1)**3
Let b(y) be the second derivative of y**6/15 - 7*y**5/10 + 11*y**4/6 - 5*y**3/3 + 26*y. Factor b(a).
2*a*(a - 5)*(a - 1)**2
Solve -1249*h**4 - h - 12 + 81*h**2 - 8*h + 1168*h**4 - 3*h = 0 for h.
-1, -1/3, 2/3
Let t(z) = 26*z**5 + 10*z**4 - 10*z**2 - 12*z. Let d(b) = -9*b**5 - 3*b**4 + 3*b**2 + 4*b. Let a(w) = -14*d(w) - 5*t(w). Solve a(f) = 0 for f.
-1, 0, 1
Let c(g) be the second derivative of 2/7*g**2 + 2*g - 1/70*g**5 - 5/21*g**3 + 2/21*g**4 + 0. Factor c(d).
-2*(d - 2)*(d - 1)**2/7
Suppose -4*i = -x, 3*i = 5*x + 2*i. Suppose x*d + 0*d**3 - 1/2*d**2 + 1/4 + 1/4*d**4 = 0. What is d?
-1, 1
Let a(r) be the second derivative of -1/15*r**3 + 0 - 2/5*r**2 + 1/30*r**4 + 3*r. Solve a(j) = 0.
-1, 2
Suppose 0*a - a = -3. Suppose -2*i + 11 = a. What is s in 9/4*s**i + 3/4*s**3 + 0*s - 3/2*s**2 + 0 = 0?
-1, 0, 2/3
Let 2/7*v + 4/7*v**2 + 0 + 2/7*v**3 = 0. Calculate v.
-1, 0
Let r = -3/29 - -209/58. Factor 0*m + 0 + m**2 + 4*m**4 - 3/2*m**5 - r*m**3.
-m**2*(m - 1)**2*(3*m - 2)/2
Suppose -4*f + f = 5*k - 23, -4*k + 3*f = -13. Factor y**5 + 9*y**3 + y**5 + 2*y**2 + y**5 + 9*y**k + y**2.
3*y**2*(y + 1)**3
Let j be (-2)/(-7) - 18520/(-105). Let p = -174 + j. Suppose -2/3*r**5 + 0 - 8/3*r**4 - 4*r**3 - 2/3*r - p*r**2 = 0. What is r?
-1, 0
Solve -45*y + 2*y**3 + 46*y - 3*y**3 = 0 for y.
-1, 0, 1
Let k(h) = 6*h**2 - 8*h + 6. Let r(x) be the third derivative of -19*x**5/60 + x**4 - 19*x**3/6 + 6*x**2. Let c(p) = 7*k(p) + 2*r(p). Find d such that c(d) = 0.
1
Suppose 5*i = -5*m + 4 + 11, 2*i - 18 = -5*m. Let b be (-9)/(-24)*4 + i. Find d such that -2 + 2*d - b*d**2 = 0.
2
Let f be (-34)/(-9) + 4/18. Suppose g + l = f, -2*g - 2*g - 3*l + 14 = 0. Factor -3*k**2 + 3*k**2 + g*k**2.
2*k**2
Let r(i) = -7*i**2 - 11*i - 9. Let d(y) = y**2 + y - 1. Let l(u) = -2*u**2 + 9. Let z(s) = 5*d(s) + l(s). Let w(g) = 2*r(g) + 5*z(g). Factor w(j).
(j + 1)*(j + 2)
Suppose 4*a + 0*a - 8 = 0. Let f(n) be the first derivative of -1/2*n**2 - 1/3*n**3 + 3 + a*n. Factor f(k).
-(k - 1)*(k + 2)
Let f(m) = -27*m**2 + 20*m - 4. Let q(a) = 28*a**2 - 20*a + 4. Let j(z) = -3*f(z) - 2*q(z). Let j(p) = 0. Calculate p.
2/5
Suppose 7 = 2*z - 1. Let q(d) be the second derivative of -1/6*d**3 + 0*d**z + 1/20*d**5 + 3*d + 0 + 0*d**2. Factor q(a).
a*(a - 1)*(a + 1)
Let x(m) be the second derivative of m**4/54 - m**2/9 + 3*m. Factor x(o).
2*(o - 1)*(o + 1)/9
Let q be (-58)/30 - -2 - 46/(-138). Factor -q*m**2 + 1/5*m**3 + 1/5*m + 0.
m*(m - 1)**2/5
Let g be 128/20 + -6 + (-4)/(-15). Let b be (1 - 0) + (-8)/12. Factor b*i - 1/3 + g*i**2.
(i + 1)*(2*i - 1)/3
Suppose -5*o = -3*x - 25, x + 3*x = 5*o - 30. Find a such that -8*a - 8 - 47*a + 98*a**4 - a - 90*a**o + 56*a**3 = 0.
-1, -2/7, 1
Let o be 20/(-70) + 23/7. Let t = 3 - o. Factor -1/2*k**3 + k**2 + 0 + t*k.
-k**2*(k - 2)/2
Let q be 5/(((-3)/9)/(-1)). Suppose -5*s + 3*o = -0 - 15, -5*s = -5*o - q. Find b such that 1/3*b**2 - 1/3*b + 1/3*b**s - 1/3 = 0.
-1, 1
Let z(b) be the second derivative of -b**8/23520 + b**7/8820 + b**6/1260 - b**4/6 - 3*b. Let u(h) be the third derivative of z(h). What is g in u(g) = 0?
-1, 0, 2
Let q = -1/463 - -3707/1389. Determine b, given that -8/9 - 2/9*b**4 + q*b + 4/3*b**3 - 26/9*b**2 = 0.
1, 2
Let p = -2 + -10. Let y be (-4)/(p/15) + -2. Factor 2*v**2 + y*v**2 - 5*v**2 - v**3.
-v**3
Let k(r) be the third derivative of -r**6/480 - r**5/80 + r**3/6 + 4*r**2. Factor k(v).
-(v - 1)*(v + 2)**2/4
Let r be 7/(-7)*2/(-4). Suppose -n = d, -4*d + 3*d - 3*n = 0. Factor d*t**2 + 0 + r*t**3 - 1/2*t.
t*(t - 1)*(t + 1)/2
Let c = -3 - -9. Find x such that 5*x**2 - 2 + 3*x**2 - c*x**2 + 0*x**2 = 0.
-1, 1
Factor 5*d**2 + 4*d**3 - 2*d**3 + d**4 - 2*d - 6*d**3.
d*(d - 2)*(d - 1)**2
Let n(t) be the first derivative of 3*t**4/28 - 8*t**3/7 + 51*t**2/14 - 30*t/7 - 27. Factor n(i).
3*(i - 5)*(i - 2)*(i - 1)/7
Let w(n) be the first derivative of -n**4/16 - n**3/12 + n**2 + 3*n - 26. Factor w(m).
-(m - 3)*(m + 2)**2/4
Let o(h) be the second derivative of -2*h**6/15 - 2*h**5/5 + 4*h**3/3 + 2*h**2 - 2*h. Factor o(s).
-4*(s - 1)*(s + 1)**3
Let l(n) = -n + 11. Let p be l(8). Suppose -11*j**2 - 3*j**3 + 9*j**2 - j + 2*j**p = 0. Calculate j.
-1, 0
Let q = -221338 + 89420649/404. Let w = q - -1/101. Factor 1/4*j**3 + 3/4*j - 3/4*j**2 - w.
(j - 1)**3/4
Let t(d) be the first derivative of -d**7/3360 - d**6/720 - 2*d**3 + 1. Let n(v) be the third derivative of t(v). Factor n(x).
-x**2*(x + 2)/4
Suppose 4*r = -0*r + 36. Let c be 3/r - 38/(-3). Solve 15/2*k**5 - 2*k - 6*k**2 + 3/2*k**3 + c*k**4 + 0 = 0.
-1, -2/5, 0, 2/3
Let l = 316/535 - -1/107. Let i(r) be the first derivative of 0*r + l*r**5 + 3/2*r**4 + 0*r**2 + 2 + r**3. What is f in i(f) = 0?
-1, 0
Let l(u) be the second derivative of u**5/20 + 5*u**4/6 + u**2 + 4*u. Let s be l(-10). Factor 0 + 1/2*y + 1/2*y**s.
y*(y + 1)/2
Let k(d) be the first derivative of d**4/10 - 4*d**3/5 + 12*d**2/5 - 16*d/5 + 8. Factor k(t).
2*(t - 2)**3/5
Let m(z) be the first derivative of z**4/2 + 19*z**3/6 - 5*z**2/4 - 61. What is d in m(d) = 0?
-5, 0, 1/4
Let y(p) be the second derivative of p**5/20 - p**4/4 + p**3/3 - 10*p. Factor y(d).
d*(d - 2)*(d - 1)
Suppose 15*x**4 - 10*x**4 + 17*x + 3*x - 15*x**3 = 0. What is x?
-1, 0, 2
Let s(r) be the first derivative of r**5/10 - r**4/4 - 5*r**3/6 + 3*r**2/2 + 55. Let s(g) = 0. What is g?
-2, 0, 1, 3
Let d = -34 - -35. Let y(i) be the first derivative of 3/8*i**4 - i + 1/10*i**5 + 1/6*i**3 + d - 3/4*i**2. Factor y(k).
(k - 1)*(k + 1)**2*(k + 2)/2
Let m(v) be the third derivative of -v**7/315 - v**6/72 - v**5/60 + v**4/72 + v**3/18 + 11*v**2. Suppose m(y) = 0. What is y?
-1, 1/2
Let o(a) be the second derivative of a**7/2520 + a**6/180 + a**5/30 - a**4/3 - 2*a. Let u(z) be the third derivative of o(z). What is w in u(w) = 0?
-2
Suppose 0 = 5*a - 58 - 32. Let d be 5/(15/a) + -1. Find m such that -m**3 - 4*m - m**d - 5*m**2 - 12*m**3 - 7*m**2 - 6*m**4 = 0.
-2, -1, 0
Let u be (-8)/12 - 3 - -4. Let g(f) be the first derivative of -2/9*f**3 - u*f**2 + 1 + 4/3*f. Factor g(q).
-2*(q - 1)*(q + 2)/3
Let a(h) = h**5 - h**3 - h - 1. Let n(d) = 6*d**5 - 20*d**4 + 38*d**3 - 40*d**2 + 18*d - 6. Let g(w) = 2*a(w) - n(w). Factor g(t).
-4*(t - 1)**5
Suppose 4*v + 3*a - 9 = 9, -3*v - a + 11 = 0. Factor 0*h - 7*h**3 - 7*h**3 + v*h**4 + 20*h**2 + 0*h**4