1*i**2 - b*i + 2 = 0.
-1, 2/7
Let w(d) be the third derivative of d**6/24 - d**5/6 - 5*d**4/24 + 5*d**3/3 - 6*d**2. Factor w(m).
5*(m - 2)*(m - 1)*(m + 1)
Factor 0 + 3/2*z**2 + 3*z.
3*z*(z + 2)/2
Let i(f) = 3*f**3 - 3*f**2 - 5*f. Let z be ((-1)/((-2)/(-6)))/1. Let l(t) = -t**3 + 2*t**2 + 3*t. Let c(o) = z*i(o) - 5*l(o). Factor c(q).
-q**2*(4*q + 1)
Let v(l) = -l**3 - l + 1. Let a(i) = -3*i**3 + 6*i**2 + 5*i + 4. Let t(g) = a(g) - 4*v(g). Factor t(q).
q*(q + 3)**2
Let t(l) be the second derivative of -5*l**7/2 + 179*l**6/10 - 222*l**5/5 + 38*l**4 + 8*l**3 - 24*l**2 - l. Let t(g) = 0. What is g?
-2/7, 2/5, 1, 2
Let q = 215 + -56. Let h = q + -473/3. Let h*t + 0 + 2*t**2 = 0. What is t?
-2/3, 0
Let w(g) = g**2 - g + 3. Let x be w(0). Find z such that -x*z**2 + z**2 + 3*z**3 - z**2 - 6*z = 0.
-1, 0, 2
Let q(r) be the second derivative of -4*r + 1/36*r**4 + 0 + 1/9*r**3 + 1/6*r**2. Suppose q(g) = 0. What is g?
-1
Suppose -5*r = -2*f - 16, 37 - 11 = 3*f + 5*r. Solve 1/5*v**3 - 2/5 - 1/5*v + 2/5*v**f = 0.
-2, -1, 1
Let m = 16 - 16. Suppose -v**4 + 2*v**3 + m*v**4 - v**4 + v**4 + 3*v**2 = 0. What is v?
-1, 0, 3
Factor 0*c**4 + 2/5*c**3 + 0 + 0*c**2 - 1/5*c - 1/5*c**5.
-c*(c - 1)**2*(c + 1)**2/5
Let w(l) be the first derivative of -l**3/24 + l**2/8 - 16. Find h such that w(h) = 0.
0, 2
Let k(w) = 10*w**4 - 4*w**3 - 6*w**2 + 4. Let j(s) = 9*s**4 - 4*s**3 - 6*s**2 + s + 3. Let f(o) = -4*j(o) + 3*k(o). Let f(p) = 0. Calculate p.
-1, 0, 2/3, 1
Let t be (-12 - 2)*1/(-2). Let m be 20 - (t/3 + -1). Factor -m*v - 140/3*v**3 - 50/3*v**4 - 46*v**2 - 8/3.
-2*(v + 1)**2*(5*v + 2)**2/3
Let w(b) be the second derivative of 1/3*b**4 - 1/3*b**3 + 0*b**2 + 0 + 4/15*b**6 + 7/10*b**5 + 3*b. Determine l, given that w(l) = 0.
-1, 0, 1/4
Let j(i) = 9*i**3 - 5*i. Let q(l) = -l**3 + l**2 - l - 1. Let n(g) = -g**2 - 4*g - 1. Let o be n(-3). Let h(t) = o*q(t) + j(t). Suppose h(d) = 0. What is d?
-1, -2/7, 1
Let w(o) be the third derivative of -o**8/420 - 2*o**7/175 - o**6/75 + 2*o**5/75 + o**4/10 + 2*o**3/15 + o**2. Suppose w(x) = 0. Calculate x.
-1, 1
Let o(l) = -2*l**3 - 2*l**2 - 2*l - 2. Suppose -6*s + 3*s = -3. Let c(a) = a**3 + a**2 - a - 1. Let g(z) = s*o(z) - 2*c(z). Solve g(m) = 0.
-1, 0
Let n be 4 + (-3)/(-72) - 4. Let m(w) be the first derivative of 0*w**5 - 2 + 0*w + 0*w**3 - n*w**6 - 1/8*w**2 + 1/8*w**4. Factor m(j).
-j*(j - 1)**2*(j + 1)**2/4
Let c(b) be the first derivative of 1/4*b + 1/4*b**2 + 0*b**3 + 2 - 1/20*b**5 - 1/8*b**4. Find n, given that c(n) = 0.
-1, 1
Let u(a) be the first derivative of 1/14*a**4 + 1/21*a**6 + 4/35*a**5 + 0*a**2 - 2 + 0*a + 0*a**3. Factor u(x).
2*x**3*(x + 1)**2/7
Determine w so that -2/3*w**2 + 0 - 4/3*w**3 - 2/3*w**4 + 0*w = 0.
-1, 0
Let a(o) be the third derivative of o**2 + 0*o**6 - 1/20*o**5 + 1/140*o**7 + 0*o**4 + 0*o + 0 + 1/4*o**3. Factor a(v).
3*(v - 1)**2*(v + 1)**2/2
Let v = 220/3 - 73. Determine u so that 0 - 1/6*u**3 - 1/6*u**5 - 1/2*u**2 + v*u + 1/2*u**4 = 0.
-1, 0, 1, 2
Suppose -6*k + 12/11 - 90/11*k**4 + 6*k**3 + 78/11*k**2 = 0. Calculate k.
-1, 1/3, 2/5, 1
Let d = -5 + 7. Factor -3*x**2 + 0*x**2 - x**d + 2*x**2 + 2.
-2*(x - 1)*(x + 1)
Let v(o) = -o + 12. Let u be v(4). Find j such that -5*j**2 + 2*j**2 - 9*j**3 + u*j + 1 + 2 + j = 0.
-1, -1/3, 1
Suppose -2*h = -16*v + 18*v + 2, 3*v + 9 = -h. What is o in 2/9*o**h + 0 + 8/9*o**2 + 8/9*o = 0?
-2, 0
Let a = -29 - -33. Suppose 0 = 2*k + z + 3*z, -2 = k + a*z. Suppose 0 + 1/3*i**3 - 2/3*i - 1/3*i**k = 0. What is i?
-1, 0, 2
Let b(s) be the first derivative of s**4/16 - s**3/6 - 4. Factor b(r).
r**2*(r - 2)/4
Let s(t) = -3*t**4 + 22*t**3 - 32*t**2 + 24*t + 4. Let v(u) = -3*u**4 + 23*u**3 - 31*u**2 + 24*u + 5. Let x(g) = 5*s(g) - 4*v(g). Find m such that x(m) = 0.
0, 2
Let t(a) be the first derivative of 0*a**2 - 1 - 1/6*a**3 + 1/8*a**4 - 1/12*a**6 + 0*a + 1/10*a**5. Solve t(b) = 0.
-1, 0, 1
Suppose 5*q = 2*l + q + 10, 0 = -2*q + 4. Let x(f) be the first derivative of f**2/2 - 4. Let o(z) = z**2 + z. Let c(s) = l*o(s) + x(s). Factor c(d).
-d**2
Let t(w) be the first derivative of -5 + 8/5*w + 2/15*w**3 + 4/5*w**2. Let t(o) = 0. Calculate o.
-2
Let x(j) be the second derivative of -2/3*j**3 + 1/6*j**4 + 4*j + 0*j**2 + 0. Factor x(h).
2*h*(h - 2)
Let s(g) be the first derivative of -g**4/6 + g**2 - 4*g/3 - 7. Determine w so that s(w) = 0.
-2, 1
Let i(m) be the second derivative of -m**6/135 + 4*m**5/45 - 10*m**4/27 + 16*m**3/27 - 45*m - 2. Solve i(d) = 0.
0, 2, 4
Let n = 40 + -37. Let -2/3*b**n + 2/3*b - 2/3*b**2 + 2/3 = 0. What is b?
-1, 1
Let j(s) be the second derivative of 1/60*s**4 + 0*s**3 + 3*s + 0*s**2 + 1/100*s**5 + 0. Solve j(d) = 0.
-1, 0
Let p(x) = 5*x**2 - 20*x - 1. Suppose a = 4, 5*y + 0*y + 5*a = -20. Let f(t) = 2*t**2 - 7*t. Let o(v) = y*f(v) + 3*p(v). Suppose o(s) = 0. What is s?
-3, -1
Factor 9*n**4 - 3*n**5 - 5*n**3 - n**3 - n**2 + n**2.
-3*n**3*(n - 2)*(n - 1)
Let l(r) = -7*r**4 + 7*r**3 + 11*r**2 + 13*r - 4. Let n(t) = 36*t**4 - 36*t**3 - 54*t**2 - 66*t + 21. Let o(i) = -21*l(i) - 4*n(i). Factor o(w).
3*w*(w - 3)*(w + 1)**2
Let q(c) be the third derivative of -2*c**5/105 + c**4/42 + 2*c**3/21 - 15*c**2. Factor q(j).
-4*(j - 1)*(2*j + 1)/7
Let c(w) = w**3 - 7*w**2 - 9*w + 11. Let x be c(8). Suppose -5*q + x = -3*p - 11, 0 = -4*q + 4*p + 16. Determine m so that -1 + 6*m - 5*m + q + m**2 = 0.
-1, 0
Let g(k) be the first derivative of -k**5/10 + 5*k**4/8 - 3*k**3/2 + 7*k**2/4 - k + 9. Suppose g(m) = 0. Calculate m.
1, 2
Let t(i) be the third derivative of 1/420*i**6 - 2*i**2 + 0*i + 2/21*i**3 + 1/245*i**7 + 0 - 1/84*i**4 - 1/42*i**5. Determine n, given that t(n) = 0.
-1, 2/3, 1
Let n(k) = -k**3 + k**2. Let r be n(0). Let f(q) be the second derivative of r*q**3 + 0*q**5 - 1/21*q**7 + 0 + 0*q**2 + q - 1/15*q**6 + 0*q**4. Factor f(a).
-2*a**4*(a + 1)
Suppose -t = 19 - 21. Factor -2/3*w**4 + 0*w + 0 - t*w**3 - 4/3*w**2.
-2*w**2*(w + 1)*(w + 2)/3
Let t(v) = 5*v**2 - 7*v + 2. Let k(a) = -21*a**2 + 27*a - 9. Let u(p) = -2*k(p) - 9*t(p). Find z such that u(z) = 0.
0, 3
Let z(l) be the third derivative of 0*l - 11/720*l**6 + 1/12*l**4 + 0 + 1/180*l**5 - 1/2016*l**8 - 2*l**2 + 1/210*l**7 - 2/9*l**3. Factor z(o).
-(o - 2)**3*(o - 1)*(o + 1)/6
Suppose 6*c - 3 + 3/4*c**3 - 15/4*c**2 = 0. What is c?
1, 2
Factor -4/9*d - 2/3 + 2/9*d**2.
2*(d - 3)*(d + 1)/9
Let c(o) be the third derivative of 0*o - 2/3*o**4 - 8/3*o**3 - 1/15*o**5 + 0 - o**2. Factor c(u).
-4*(u + 2)**2
Let s be (-6)/4*51/9. Let x = -8 - s. Factor 0*f - 5/4*f**5 - 9/4*f**3 + 3*f**4 + x*f**2 + 0.
-f**2*(f - 1)**2*(5*f - 2)/4
Let s be (105/6)/(-5)*1/(-7). Factor -s*w**2 - 1/2*w + 0.
-w*(w + 1)/2
Let x be 1*(-2 + -13)/3. Let c = 9 + x. What is y in -3 - 4*y - c + 5 - 2*y**2 = 0?
-1
Let x = -103/2 - -207/4. Factor 1/4*c**2 + 0 + x*c.
c*(c + 1)/4
Let o(i) = 16*i**3 + 4*i**2 - 16*i + 16. Let f(l) = l**3 - l + 1. Let s(p) = -20*f(p) + o(p). Factor s(g).
-4*(g - 1)**2*(g + 1)
Let t(b) be the first derivative of b**5/20 - b**4/16 + 2. Suppose t(y) = 0. Calculate y.
0, 1
Suppose -4 = -z - 3*g, -5*z + 12 + 8 = 4*g. Factor -2 - o + 2 + 4*o**2 - z*o**4 - o**3 + 2*o.
-o*(o - 1)*(o + 1)*(4*o + 1)
Let k(p) = 3*p**3 + 3*p**2 - 8*p + 5. Let r(u) = u**3 - u**2 + 1. Let n(h) = -2*k(h) + 10*r(h). Factor n(q).
4*q*(q - 2)**2
Find c, given that 12*c**5 + 0 - 12/5*c**3 + 81/5*c**4 - 27/5*c**2 + 6/5*c = 0.
-1, 0, 1/4, 2/5
Let 9/7 + 15/7*b**2 + 3*b + 3/7*b**3 = 0. What is b?
-3, -1
Factor 81/5 + 27/5*y**2 - 3/5*y**3 - 81/5*y.
-3*(y - 3)**3/5
Let m = 132121/120 + -1101. Let g(b) be the third derivative of 0 + 0*b**3 - 2*b**2 + 0*b - 1/12*b**4 + m*b**6 + 1/60*b**5. Suppose g(q) = 0. Calculate q.
-2, 0, 1
Let k(j) = -j**3 + 8*j**2 - 4. Let d be k(8). Let u(p) = p**2 + 4*p + 2. Let v be u(d). Determine w so that -2*w - 2*w**v + 3*w - 3*w = 0.
-1, 0
Let b(y) = -y**2 + y - 1. Let o(l) = 10*l**2 + 35*l + 40. Let x(n) = -5*b(n) - o(n). Factor x(m).
-5*(m + 1)*(m + 7)
Let s(r) be the second derivative of 3*r**4/4 - 2*r**3/3 - 5*r. Let q(h) = 4*h**2 - 2*h. Let j(i) = 13*q(i) - 6*s(i). What is t in j(t) = 0?
-1, 0
Let p(l) be the third derivative of -1/8*l**4 + 0*l + 1/3*l**3 + 0 + 1/120*l**6 + 0*l**5 - l**2. Factor p(o).
(o - 1)**2*(o + 2)
Let s(d) = -6*d - 3 + 8 - d**2 + 4. Let z be s(-7). Solve -2*k - k**2 + k**z - 2*k**2 = 0 for k.
-1, 0
