z) = 0. What is z?
-2, -1, 1
What is k in 2/5 - 4/5*k + 2/5*k**2 = 0?
1
Let a(s) = 5*s**3 + 15*s**2 + 19*s + 1. Let y(q) = 45*q**3 + 135*q**2 + 170*q + 10. Let u(d) = -35*a(d) + 4*y(d). Find c, given that u(c) = 0.
-1
Let d(o) = o**2 - 1. Let c(m) = m**2 - 15*m + 14. Let a(q) = c(q) + 2*d(q). Find p, given that a(p) = 0.
1, 4
Let t be 2 - (-2)/((-3430)/8923). Let b = -1/343 - t. Factor 0*y**2 + 0 + 12/5*y**3 - 2/5*y - b*y**4 + 6/5*y**5.
2*y*(y - 1)**3*(3*y + 1)/5
Let m(h) be the first derivative of -2/3*h**2 + 3 + 1/18*h**4 - 4*h + 1/9*h**3. Let i(o) be the first derivative of m(o). What is r in i(r) = 0?
-2, 1
Let u(w) = 2*w**2 - 4*w. Let o(m) = m. Let h(y) = -4*o(y) + 2*u(y). Factor h(n).
4*n*(n - 3)
Let m(r) = 5 + 4 + r**2 + 0 - 4 - 6*r. Let f be m(5). Find t, given that 0*t + 4/5*t**3 - 2/5*t**4 - 2/5*t**2 + f = 0.
0, 1
Let h(n) be the second derivative of 2*n**6/15 + 3*n**5/5 + n**4/3 - 2*n**3 - 4*n**2 + 15*n. Solve h(p) = 0.
-2, -1, 1
Suppose 4*g - 10 = -z, g + 2*g + 4 = 5*z. Let o(k) be the first derivative of -4*k - 1/3*k**3 - z*k**2 - 1. Factor o(a).
-(a + 2)**2
Let z(y) be the first derivative of -y**6/150 - y**5/25 - y**4/10 - 2*y**3/15 - y**2/10 - 6*y + 2. Let p(c) be the first derivative of z(c). Factor p(d).
-(d + 1)**4/5
Let p(i) be the third derivative of -i**5/180 - i**4/24 - i**3/9 + 6*i**2. Let p(f) = 0. What is f?
-2, -1
Let l(x) = -9*x**2 + 11*x + 36. Let f(i) = -3*i**2 + 4*i + 12. Let n(w) = 11*f(w) - 4*l(w). Determine p, given that n(p) = 0.
-2, 2
Let r(x) be the third derivative of 1/4*x**4 + 0*x**3 + 1/20*x**5 + 0*x + 4*x**2 - 1/40*x**6 + 0. Determine b, given that r(b) = 0.
-1, 0, 2
Let v(d) be the third derivative of -9*d**6/40 + 4*d**5/5 - 5*d**4/8 - d**3 + 28*d**2. Factor v(l).
-3*(l - 1)**2*(9*l + 2)
Let r(g) = -g**2 + 3*g. Suppose 4*i = -4*j + 28, -3*i + 5*i = 8. Let o be r(j). Factor -4/7*q - 10/7*q**3 - 2*q**2 + o.
-2*q*(q + 1)*(5*q + 2)/7
Let r(n) = 3*n**4 - 6*n**3 - n**2 + 4*n - 8. Let j(o) = -o**4 + o**3 + o**2 + 1. Let q(m) = -4*j(m) - r(m). Solve q(t) = 0 for t.
-2, 1
Suppose 4*b + 74 - 58 = 0, 0 = 5*n - 5*b - 20. Suppose n + 4/13*w - 2/13*w**4 - 10/13*w**2 + 8/13*w**3 = 0. Calculate w.
0, 1, 2
Suppose 0 = -2*f + o + 7, o - 12 = -4*f - 1. Let r(b) = b**2. Let j(m) = 4*m**2 - 1. Let t(x) = f*r(x) - j(x). Suppose t(k) = 0. What is k?
-1, 1
Suppose -5*s = c - 25, 4*s + 2*c - 14 = 12. Suppose -3*y + s*l - 9 = 1, 2*l = 8. Solve 2*t**3 - 2 + y*t**4 + 2*t**3 - 4*t + 0 = 0 for t.
-1, 1
Suppose 27 = 5*f - 48. Let x = -13 + f. Factor 1/4*a**3 + 3/4*a**x + 1/2*a + 0.
a*(a + 1)*(a + 2)/4
Let q(n) = -n + 11. Suppose 15 = -3*d - 2*d, -4*d + 9 = 3*w. Let p be q(w). Suppose -2*i**2 - 2*i**4 - 4*i**5 - 6*i**3 - 4*i**p - i**5 + 3*i**5 = 0. What is i?
-1, 0
Let v = 154/3 + -50. Let t(l) be the second derivative of -4*l**2 + 0 + v*l**3 - 2*l - 1/6*l**4. What is w in t(w) = 0?
2
Let k(c) be the second derivative of 5/18*c**3 + 0 + 1/9*c**4 - 4*c + 1/6*c**2. Suppose k(j) = 0. What is j?
-1, -1/4
Suppose 4*z = 3*q - 0*q + 27, z + q + 2 = 0. Factor -3*v - 1 + 4*v + v**3 - v**z + v**2 - v**3.
-(v - 1)**2*(v + 1)
Suppose 0*h**3 - 1/2*h**4 + 0 + 0*h + 0*h**2 = 0. What is h?
0
Let s(n) = 4*n**5 - 2*n**4 - 6*n**3 + 2*n**2 - 2*n. Let f(j) = 4*j**5 - j**4 - 7*j**3 + j**2 - 3*j. Let y(t) = 2*f(t) - 3*s(t). Factor y(m).
-4*m**2*(m - 1)**2*(m + 1)
Suppose 5 + 3 = 2*o. Suppose 0*c = 5*c - 55. Factor -c*m**2 - 21*m**2 - 20*m**3 - 2 + 8*m**2 - 6*m**o - 12*m.
-2*(m + 1)**3*(3*m + 1)
Find a, given that -3*a**4 - 60 - 3*a**2 + 60 - 6*a**3 = 0.
-1, 0
Let k = -83 - -167/2. Suppose b - k*b**3 - 1/2*b**2 + 0 = 0. Calculate b.
-2, 0, 1
Suppose 4*r + r - 10 = 0. Let s be (-6)/(-5)*5/r. Factor 2*w**3 - s + 6*w - 6*w**2 - 2 + 3.
2*(w - 1)**3
Let a(d) = d**2 - d + 4. Let o be a(0). Let w(y) = 6*y + 1. Let u be w(o). Factor 6*n**2 - 3*n + u*n**5 - 21*n**3 - 26*n**2 + 20*n**4 - n.
n*(n - 1)*(n + 1)*(5*n + 2)**2
Let r be (-8)/(-3) + (-2)/(-6). Suppose l = 5*u + 2*l - 30, 0 = r*u - 3*l. Factor 0*o**4 - 2*o**4 - 2*o + 0*o**4 + 4*o**3 + 4*o**2 - 2*o**u - 2.
-2*(o - 1)**2*(o + 1)**3
Let v(z) be the first derivative of z**4/8 + 2*z**3/3 + 5*z**2/4 + z - 6. Let v(i) = 0. Calculate i.
-2, -1
Let x(g) = -g**2 - 6*g - 2. Let i be x(-5). Suppose -i = -d - 2. Let c(r) = -r**2 - r + 1. Let f(s) = -6*s**2 + 2. Let b(u) = d*f(u) - 4*c(u). Factor b(m).
-2*(m - 1)**2
Let i = 117 + -937/8. Let l = i + 3/8. Factor -l*z + 0 + 1/4*z**2.
z*(z - 1)/4
Let r(k) be the first derivative of -9/16*k**4 + 1/4*k**3 + 2 + 0*k + 3/4*k**2 - 3/20*k**5 + 1/8*k**6. Suppose r(v) = 0. Calculate v.
-1, 0, 1, 2
Suppose 11*w + 81 = 125. Factor -78/7*q**w - 134/7*q**3 - 114/7*q**2 - 18/7*q**5 - 8/7 - 48/7*q.
-2*(q + 1)**3*(3*q + 2)**2/7
Let r(o) be the third derivative of 1/630*o**7 - 1/180*o**6 - 1/90*o**5 + 1/72*o**4 - 2*o**2 + 1/18*o**3 + 1/1008*o**8 + 0*o + 0. Factor r(b).
(b - 1)**2*(b + 1)**3/3
Let b(y) be the first derivative of 1/24*y**3 - 2*y + 0*y**2 - 2 - 1/48*y**4. Let r(w) be the first derivative of b(w). Factor r(l).
-l*(l - 1)/4
Factor 2*l - 14*l + 52*l + 4*l**2 + 100.
4*(l + 5)**2
Suppose 2*n + 12 = 5*n. Let h(q) be the first derivative of -10/9*q**3 + 2/3*q**2 + 0*q - n. Determine j, given that h(j) = 0.
0, 2/5
Let l(x) = 5*x - 7. Let a be l(3). Suppose -14 = -3*m - a. Factor 3/4*p**m - 1/4*p**3 + 1/4 - 3/4*p.
-(p - 1)**3/4
Suppose 0 = j + 3*z - 29 - 25, -2*j + 5*z + 75 = 0. Let f be 228/j - (-2)/(-5). Solve 4/3 - 4/3*m**2 - f*m**3 + 14/3*m = 0.
-1, -2/7, 1
Factor -2/11*t + 0*t**2 + 0 + 2/11*t**3.
2*t*(t - 1)*(t + 1)/11
Factor 4*v**2 - 14/3*v + 2/3.
2*(v - 1)*(6*v - 1)/3
Let x be (-1 - -1)*(-1)/(-2). Let h(p) be the second derivative of -p - 2/15*p**3 + 1/6*p**4 + 0 + x*p**2. Let h(s) = 0. Calculate s.
0, 2/5
Let a(i) = i**3 + 2*i**2 + 2. Let l be (4 + (-15)/3)*2. Let j be a(l). Suppose 1/6*b**5 - 1/6*b**3 + 0 + 1/6*b**j + 0*b - 1/6*b**4 = 0. Calculate b.
-1, 0, 1
Let a(x) = x + 1. Let j(w) = -3*w**3 + 6*w**2 + 2*w + 5. Let p(g) = -5*a(g) + j(g). Suppose p(c) = 0. What is c?
0, 1
Let g(c) be the third derivative of -2/9*c**3 + 1/360*c**6 - 1/90*c**5 - 7/72*c**4 + 0 + 0*c + c**2. Factor g(h).
(h - 4)*(h + 1)**2/3
Let b(x) be the second derivative of x**7/2520 - x**6/360 + x**4/6 - x. Let i(j) be the third derivative of b(j). Factor i(w).
w*(w - 2)
Let s(v) be the second derivative of -1/18*v**4 - 3*v + 0 + 0*v**2 - 1/9*v**3 + 1/45*v**6 + 1/30*v**5. Factor s(j).
2*j*(j - 1)*(j + 1)**2/3
Factor 18*u**3 + 2*u**2 - 14*u**3 + 3*u**4 - u**4.
2*u**2*(u + 1)**2
Let n(z) be the second derivative of -z**6/270 + z**5/90 + z**4/36 - 21*z. Factor n(t).
-t**2*(t - 3)*(t + 1)/9
Let q(x) = -4*x**3 + x. Let v be q(-1). Let p(g) be the second derivative of -1/20*g**5 + 1/6*g**v - 3*g + 1/12*g**4 + 0 + 0*g**2 - 1/30*g**6. Factor p(a).
-a*(a - 1)*(a + 1)**2
Let n = -418 - -3351/8. Let q = n + 5/8. Factor -1/2*h**3 + 5/2*h + 1/2*h**4 - q*h**2 - 1.
(h - 1)**3*(h + 2)/2
Suppose 0 = h + 4*r + 16, -5*h = -r - r - 8. Let t = 17/26 - 2/13. Factor g - t*g**2 + h.
-g*(g - 2)/2
Let t(v) be the second derivative of -v**4/60 - v**3/10 - v**2/5 - 35*v. Solve t(g) = 0.
-2, -1
Let a(b) be the second derivative of 0*b**3 + 0 + b + 0*b**2 - 1/120*b**6 - 1/48*b**4 + 1/40*b**5. Factor a(z).
-z**2*(z - 1)**2/4
Let f(k) be the first derivative of -3*k**4/4 + 6*k**3 - 18*k**2 + 24*k + 2. Factor f(n).
-3*(n - 2)**3
Let b(l) be the third derivative of -l**6/720 + l**5/80 - 5*l**3/6 - 4*l**2. Let q(x) be the first derivative of b(x). Determine t so that q(t) = 0.
0, 3
Let q(m) = 3*m**4 - m**3 - 5*m**2 + m. Let h(u) = -1. Let n(c) = -2*h(c) + q(c). Factor n(k).
(k - 1)**2*(k + 1)*(3*k + 2)
Let a be -2*1/(-4) + (-5)/(-30). Factor 0*v - 2/3*v**4 + 0 - 4/3*v**3 - a*v**2.
-2*v**2*(v + 1)**2/3
Let v be (0/8)/((1 - 2)*1). Let n(a) be the third derivative of 0*a - a**2 + 1/30*a**5 + 0 + 1/24*a**4 + v*a**3. Determine c, given that n(c) = 0.
-1/2, 0
Let i be 1*((-2)/1 - -4). Determine b, given that -1 - b**4 - i*b**3 - 12*b - 4*b**3 - 13*b**2 - 3 + 0*b**3 = 0.
-2, -1
Let x(k) = -2*k**4 - 4*k**3 + 4*k + 7. Let m(g) = 1. Let v(w) = -10*m(w) + 2*x(w). Factor v(i).
-4*(i - 1)*(i + 1)**3
Let a(r) be the second derivative of -5*r**7/14 + 4*r**6/3 + 5*r**5/4 - 15*r**4/2 - 10*r**3/3 + 20*r**2 + 7*r. What is l in a(l) = 0?
-1, 2/3, 2
Let j(