 -5*o**2 - 5*o - 51 - 86 - 43 + 65*o.
-5*(o - 6)**2
Let q = -161/4 - -167/4. Let -6*g + 0 - 15/2*g**3 + q*g**4 + 12*g**2 = 0. What is g?
0, 1, 2
Suppose 4*w = 2 + 10. Let v(i) be the first derivative of -2/9*i**3 - 4/3*i**2 - 8/3*i + w. Factor v(x).
-2*(x + 2)**2/3
Let m(q) be the second derivative of q**9/2520 + q**8/840 - q**7/1260 - q**6/180 + q**4/12 - 2*q. Let d(k) be the third derivative of m(k). Factor d(n).
2*n*(n + 1)**2*(3*n - 2)
Let z(l) be the first derivative of -l**3/9 - l**2/3 + l + 4. Solve z(c) = 0 for c.
-3, 1
Factor 2/19 - 8/19*c**2 - 6/19*c.
-2*(c + 1)*(4*c - 1)/19
Suppose -x = 3*x. Suppose x = -0*z - 2*z. Factor -2*q**2 + 4/5*q + z.
-2*q*(5*q - 2)/5
Let s(q) be the first derivative of 3*q**5/20 + q**4/3 - q**3/6 - q**2 + q - 3. Let v(o) be the first derivative of s(o). Find i such that v(i) = 0.
-1, 2/3
Let b = 33 + -21. Suppose 3*k + b = 7*k. Factor -96/7*j**k + 16/7*j**2 + 10/7*j - 2/7.
-2*(3*j + 1)*(4*j - 1)**2/7
Let v(x) be the second derivative of -x**5/300 - x**4/60 - x**3/30 - x**2/2 + 4*x. Let h(n) be the first derivative of v(n). Find b such that h(b) = 0.
-1
Let q(t) be the third derivative of -t**8/2184 - t**7/1365 + t**6/390 + t**5/195 - t**4/156 - t**3/39 + 12*t**2. Factor q(k).
-2*(k - 1)**2*(k + 1)**3/13
Suppose 3*g + 9 = -3*l, g - 9 = -5*l - 4. Let i(b) be the second derivative of 0 + 0*b**3 + 3*b + 1/10*b**6 - 3/10*b**5 + 1/4*b**4 + 0*b**l. Factor i(x).
3*x**2*(x - 1)**2
Suppose 0*g = -q - 2*g + 9, -4*g = -4*q. Let l(r) be the second derivative of 4/7*r**2 + q*r + 25/42*r**4 + 0 + 20/21*r**3. Factor l(u).
2*(5*u + 2)**2/7
Let s(z) = z**2 + 6*z + 1. Let b be s(-5). Let a = 8 + b. Determine d so that 7/2*d - 15/2*d**2 + 13/2*d**3 - 1/2 - 2*d**a = 0.
1/4, 1
Let t(j) be the second derivative of -1/210*j**5 - 3*j + 0*j**3 + 0 + 0*j**4 + 3/2*j**2. Let a(l) be the first derivative of t(l). What is w in a(w) = 0?
0
Suppose 4*f - 72 = -0*f. Let x be (10 - 19)*(-4)/f. Find q such that 1/2*q**x - 1/4*q + 0 - 1/4*q**3 = 0.
0, 1
Let v = 3/38 - -213/190. Let 2*j**3 - v*j**2 + 8/5*j**4 - 2*j - 2/5 = 0. What is j?
-1, -1/4, 1
Let a be (6/20)/(-1)*23/(-46). Let w(y) be the first derivative of 0*y + 3 - a*y**5 + 0*y**4 + 1/3*y**3 - 1/24*y**6 + 0*y**2. What is d in w(d) = 0?
-2, 0, 1
Let s(k) = 2*k**2 + k. Let r be s(1). Suppose 3*a - a**r + 3*a**3 - a - 4*a**2 = 0. Calculate a.
0, 1
Let h(u) be the first derivative of 3*u**5/10 + u**4/3 - u**3/3 + 2*u - 4. Let b(i) be the first derivative of h(i). Factor b(m).
2*m*(m + 1)*(3*m - 1)
Suppose -4*c + 18 - 2 = 0. Suppose -r + f - 2 = 0, 5*r - c*r - 3*f = -10. Suppose 3/2*s**r - 3/4 + 3/4*s = 0. What is s?
-1, 1/2
Let p(d) be the second derivative of d**5/20 + d**4/4 + d**3/2 - 4*d**2 - 5*d. Let o(t) be the first derivative of p(t). Suppose o(x) = 0. What is x?
-1
Let y be 2/(-3)*9/(-30). Suppose -1/5*n - 2/5 + y*n**3 - 1/5*n**4 + 3/5*n**2 = 0. What is n?
-1, 1, 2
Let r(f) be the third derivative of f**7/735 - f**5/210 - 13*f**2 + 1. Determine u so that r(u) = 0.
-1, 0, 1
Let c(v) = 2*v**2 - 2*v. Let a(y) be the first derivative of 4*y**3/3 - 5*y**2/2 + 5. Let g(j) = -2*a(j) + 5*c(j). Let g(p) = 0. Calculate p.
0
Let y(w) be the third derivative of -w**8/840 + w**7/525 + w**6/300 - w**5/150 - 44*w**2. Determine x, given that y(x) = 0.
-1, 0, 1
Let -d**4 - 119*d**3 + 10 + 6*d**4 + 5*d - 15*d**2 + 114*d**3 = 0. What is d?
-1, 1, 2
Let z(h) be the first derivative of -h**5/15 + h**3/9 + 8. Factor z(i).
-i**2*(i - 1)*(i + 1)/3
Let p be -3*(6*(-6)/27 - 0). What is v in 3/2*v**3 + 1 + 1/4*v**p + 13/4*v**2 + 3*v = 0?
-2, -1
Let m(z) be the first derivative of 4*z**3/3 - 16*z**2 + 64*z + 1. What is q in m(q) = 0?
4
Determine m, given that 8/5 + 12*m**3 - 22/5*m**2 + 10*m**4 - 24/5*m = 0.
-1, 2/5
Let n(c) be the second derivative of -c**5/120 + c**4/36 - c**3/36 - c. Solve n(d) = 0 for d.
0, 1
Let v(n) = -1. Let j(u) = -5*u**2 + 15*u - 30. Let l(k) = j(k) - 20*v(k). Factor l(f).
-5*(f - 2)*(f - 1)
Let y(k) be the first derivative of -k**4/28 - 10*k**3/21 + k**2/14 + 10*k/7 - 36. Factor y(c).
-(c - 1)*(c + 1)*(c + 10)/7
Factor -6*d + 4*d**2 - 2*d**3 - 13*d**2 - 2 + 0*d**3 + 3*d**2.
-2*(d + 1)**3
Suppose b + 15 = 38. Let o be 1*(3 - b)/(-4). Suppose -20/9*s**2 - 4/9 + 8/9*s**3 + 8/3*s**4 - 2*s + 10/9*s**o = 0. Calculate s.
-1, -2/5, 1
Let j = -87/7 - -13. What is z in 0 + j*z**4 + 0*z - 6/7*z**3 + 2/7*z**2 = 0?
0, 1/2, 1
Factor -2/3*s - 4*s**2 + 0.
-2*s*(6*s + 1)/3
Let g = -26 + 157/6. Let q(v) be the second derivative of 1/12*v**4 - v + g*v**3 + 0 + 0*v**2. Let q(l) = 0. Calculate l.
-1, 0
Let x(b) be the first derivative of 7*b**5/10 - 3*b**4/2 + b**3/2 + b**2/2 + 7. Factor x(n).
n*(n - 1)**2*(7*n + 2)/2
Determine q, given that -5*q**2 - 85*q + 100*q + 24 - 4 = 0.
-1, 4
Factor 0*d + 4*d - 4*d**2 - 4*d**3 - 104*d**4 + 108*d**4.
4*d*(d - 1)**2*(d + 1)
Let n(g) = g**3 - 2*g - 1. Let j be 4/2*(-9 - -10). Let v be n(j). Factor 1/4*l**5 + 13/4*l**3 - 3/2*l**4 + l - v*l**2 + 0.
l*(l - 2)**2*(l - 1)**2/4
Let h(b) be the second derivative of -1/135*b**6 + 1/30*b**5 + b - 4/27*b**3 + 0*b**2 + 0*b**4 + 0. What is u in h(u) = 0?
-1, 0, 2
Suppose -3*v + 20 = 3*n - n, 0 = -5*n + 2*v + 12. Factor -12*y + 6 + n*y**2 + 0*y**2 - 3*y - 3*y**3 + 8*y**2.
-3*(y - 2)*(y - 1)**2
Let x(b) = -b**5 - 3*b**4 + 2*b**2. Let s(g) = -4*g**5 - 15*g**4 + 11*g**2. Let l(a) = 2*s(a) - 11*x(a). Factor l(h).
3*h**4*(h + 1)
Suppose 4*g - 20 = -g. Let r be 4 - 0*2/g. Solve 1/2*m**3 - 1/4*m**5 - 1/4*m + 0 + 0*m**2 + 0*m**r = 0 for m.
-1, 0, 1
What is u in 4*u**3 + 6*u - 3*u + u - 10*u**2 + 2*u**2 = 0?
0, 1
Suppose 0 = -6*i - i + 14. Let 1/6*t**3 + 1/6 - 1/6*t**i - 1/6*t = 0. What is t?
-1, 1
Factor 1/5 + 3/5*b**2 - 4/5*b.
(b - 1)*(3*b - 1)/5
Suppose 0 = -5*u - 3*z + 4 + 72, -z - 40 = -3*u. Let s be 2/(-7)*u/(-10). Let 0*n - s*n**2 + 2/5 = 0. What is n?
-1, 1
Let q(s) = -s + 19. Let l be q(15). Suppose -2*b = -5*p - 0*b + 4, l*p = -4*b - 8. Factor p + 2/3*m**3 + 4/3*m**2 + 2/3*m.
2*m*(m + 1)**2/3
Let z(h) = 6*h**2 + 6*h. Suppose 5 - 19 = q. Let m(o) = o**2 - 15*o + 2. Let v be m(15). Let s(u) = u**2 + u. Let j(r) = q*s(r) + v*z(r). Factor j(a).
-2*a*(a + 1)
Let p(j) = -j**3 - 6*j**2 + 6*j - 5. Let w be p(-7). Factor -w*v**2 + 2*v**3 + 1 - 3 + 8*v**5 - 2*v + 0 + 12*v**2 - 16*v**4.
2*(v - 1)**3*(2*v + 1)**2
Factor 2*j**4 + 2*j**4 - 432*j + 211 + 113 + 216*j**2 - 48*j**3.
4*(j - 3)**4
Let s(y) be the first derivative of 0*y - 4 + 0*y**3 + 0*y**2 + 3/20*y**5 - 3/16*y**4. Factor s(w).
3*w**3*(w - 1)/4
Let q(k) = 9*k**2 + 2*k - 2*k + 14*k**3 + 0*k. Let t(z) = -14*z**3 - 10*z**2. Let x(u) = -6*q(u) - 5*t(u). Find a such that x(a) = 0.
-2/7, 0
Let f(o) = o**4. Let u(h) = 5*h**5 + 12*h**4 + 5*h**3 - 15*h**2 - 10*h. Let y(d) = 3*f(d) + u(d). Find x, given that y(x) = 0.
-2, -1, 0, 1
Let y(q) = q**2 - 7*q - 7. Let r be y(8). Let i be ((-2)/3)/(r/(-10)). Find s, given that 17/3*s**2 - 20/3*s**3 - 7*s**4 + 4/3 + i*s = 0.
-1, -2/3, -2/7, 1
Let n be (-9)/((6/(-4))/1). Let j(t) be the second derivative of 1/20*t**5 + 0*t**4 + 0 + 0*t**n + 0*t**2 + 0*t**3 - 1/42*t**7 + 3*t. Solve j(z) = 0 for z.
-1, 0, 1
Let b(v) be the third derivative of -v**6/180 + 4*v**5/45 - 13*v**4/36 + 2*v**3/3 - 31*v**2. Solve b(x) = 0 for x.
1, 6
Let z(y) be the first derivative of y**7/42 - y**6/10 + y**5/15 - 3*y**2/2 - 3. Let o(a) be the second derivative of z(a). Let o(d) = 0. Calculate d.
0, 2/5, 2
Let q(m) be the second derivative of 1/40*m**5 - 1/4*m**2 + 3*m + 0 + 1/24*m**4 - 1/12*m**3. Factor q(x).
(x - 1)*(x + 1)**2/2
Let a(o) be the first derivative of 3/20*o**4 - 4 + 2/15*o**3 + 0*o - 1/10*o**2. Find k, given that a(k) = 0.
-1, 0, 1/3
Suppose 3*r + r - 24 = 3*z, -z + 3 = -5*r. Let h be ((-2)/9)/(4/z). What is f in 0 + h*f**4 + 2/3*f + 2*f**2 + 2*f**3 = 0?
-1, 0
Suppose -4*k - 4*k - 3*k = 0. Solve 0 + k*c + 2/9*c**3 - 2/9*c**2 = 0 for c.
0, 1
Let w(a) be the third derivative of a**7/35 - 7*a**6/60 - a**5/5 + a**4 + 8*a**3/3 + 6*a**2. Factor w(i).
2*(i - 2)**2*(i + 1)*(3*i + 2)
Factor 1/3*r**2 - r + 2/3.
(r - 2)*(r - 1)/3
Let v be ((-45)/6)/3*-4. Determine m, given that -3 + 1 + v*m**2 - 6*m - 2 = 0.
-2/5, 1
Let t(q) = -q**3 + q**2 - q. Let s(l) = 0*l**5 - 2*l**3 - 3*l + 3*l**2 + 2*l**4 - l**5 - 2*l**4. Let r(u) = -2*s(u) + 6*t(u). Find p such that r(p) = 