 - 6/7*t**3 + 6/7*t**2 + 0 - m*t.
2*t*(t - 1)**3/7
Let f = -1 + 12. Determine i so that 24 - f*i**3 - 5*i - 6*i**2 - 7*i + 14*i**3 = 0.
-2, 2
Let j(c) = c - 1. Let v(a) = 3*a**2 - 3*a - 6. Let g(b) = 6*j(b) - v(b). Factor g(k).
-3*k*(k - 3)
Determine f, given that -3*f**2 + 6*f**2 - 8*f**3 + 5*f**3 = 0.
0, 1
Let r = 113/484 + 2/121. Suppose 1/2*q**4 + 0*q + 0 - r*q**5 - 1/4*q**3 + 0*q**2 = 0. What is q?
0, 1
Let 3/7*p**3 - 3/7*p**4 + 6/7*p**2 + 0 + 0*p = 0. What is p?
-1, 0, 2
Let w(o) be the third derivative of o**5/20 + 9*o**4/16 + o**3 + 21*o**2. Suppose w(a) = 0. Calculate a.
-4, -1/2
Let b(a) be the second derivative of a**7/294 - a**6/70 + a**5/140 + a**4/28 - a**3/21 + 19*a. Factor b(p).
p*(p - 2)*(p - 1)**2*(p + 1)/7
Let x(g) = 9*g**4 - 9*g**3 - 7*g**2 + 9*g + 8. Let o(c) = 28*c**4 - 28*c**3 - 20*c**2 + 28*c + 24. Let p(j) = -5*o(j) + 16*x(j). Factor p(d).
4*(d - 2)*(d - 1)*(d + 1)**2
Suppose -3*p = -6*p. Suppose 3*m - 12 = -p*m. Determine h, given that 0*h**3 + 10*h**5 - 4*h - 4*h**3 - 11*h**m + 14*h**2 - 3*h**4 - 2*h**3 = 0.
-1, 0, 2/5, 1
Let h(t) = -20*t - 1. Let l be h(-1). Let w = l + -56/3. Suppose -w*j**2 + 2/3 - 1/3*j = 0. Calculate j.
-2, 1
Let i(k) = -k**2 + 2. Let b be i(0). Suppose -4*r = -4*z + 4, -2*r - 2 = -z - 0*z. Suppose 0*n + z + 2/7*n**3 - 4/7*n**b = 0. What is n?
0, 2
Let i(v) = -2*v**2 + 19*v + 12. Let o be i(10). Solve -3/7*z**o + 6/7*z + 0 = 0 for z.
0, 2
Let s(v) be the third derivative of v**6/120 + 7*v**5/60 + v**4/6 - 4*v**3/3 - v**2. Let w be s(-6). Factor 2/3 + 8/3*p + 2/3*p**w + 4*p**2 + 8/3*p**3.
2*(p + 1)**4/3
Factor -8/7 - p + 1/7*p**2.
(p - 8)*(p + 1)/7
Suppose 0 = 3*s - s - 6. Let i be 3 + -4 - (-1)/1. Find t such that i*t + 4*t - t - 3*t**2 - s*t**2 = 0.
0, 1/2
Let c(q) = q**3 - 5*q**2 - 6*q + 4. Let l be c(6). Determine g, given that 0*g**2 + 6*g**3 - g**2 + l*g**2 + 0*g**3 + 3*g**4 = 0.
-1, 0
Let o(c) = -c + 3. Let g be o(1). Let r be 9/6 - (3 - g). Suppose -7/4*f**2 + r*f + 0 + 5/4*f**3 = 0. Calculate f.
0, 2/5, 1
Let n = -63/2 - -32. Suppose -1/2*c**3 + n*c - 1/2 + 1/2*c**2 = 0. What is c?
-1, 1
Suppose 18 = -7*f + 10*f. Let x(o) be the third derivative of 0 - 1/420*o**7 - 1/96*o**f - 1/80*o**5 + 1/24*o**3 + o**2 + 0*o + 1/96*o**4. Factor x(n).
-(n + 1)**3*(2*n - 1)/4
Let x(v) be the second derivative of 0*v**5 + 2/75*v**6 - 1/15*v**4 + 0*v**2 - 2*v - 1/15*v**3 + 0 + 1/105*v**7. Factor x(p).
2*p*(p - 1)*(p + 1)**3/5
Suppose -3*s + 132 = 3*s. Let x be s/30 - 24/(-40). Solve -x - 2/3*v**2 + 2*v = 0 for v.
1, 2
Suppose k = -2*k + 36. Factor k*l**3 - 8*l**2 + 23*l - 4*l**4 - 23*l.
-4*l**2*(l - 2)*(l - 1)
Let t(c) be the first derivative of 0*c**2 - 4 + 1/14*c**4 + 2/7*c**3 + 0*c. Factor t(x).
2*x**2*(x + 3)/7
What is x in -3*x - 3/2*x**3 + 0 + 9/2*x**2 = 0?
0, 1, 2
Let 3*s**5 - s**4 + s - 2*s**3 - 2*s**2 - 2*s**2 + 5*s**4 - 2*s = 0. Calculate s.
-1, -1/3, 0, 1
Let r(f) be the first derivative of f**6/2 - 12*f**5/5 + 3*f**4 + 1. Factor r(w).
3*w**3*(w - 2)**2
Let g(w) be the third derivative of -w**4/24 + 13*w**3/6 + 4*w**2. Let l be g(9). Factor -1/2*n - 3*n**3 + 0 - 2*n**2 - 2*n**l - 1/2*n**5.
-n*(n + 1)**4/2
Let s be ((-2)/7)/((-3)/21). Let r(y) be the second derivative of 0 + 1/48*y**4 - s*y + 1/8*y**2 - 1/12*y**3. Determine i, given that r(i) = 0.
1
Let n(y) = 1. Let q(g) = 2*g**2 + 4*g - 3. Let u(r) = -6*n(r) + 2*q(r). Factor u(a).
4*(a - 1)*(a + 3)
Let g be 24/11 - 6/33. Let x(i) = 1 - 7*i + 0 + 2 + i**g - 9. Let k(l) = l**2 - l - 1. Let m(r) = -6*k(r) + x(r). Suppose m(w) = 0. What is w?
-1/5, 0
Let f(y) be the first derivative of -3 + 3*y + 2*y**3 - 3/2*y**2. Let p(d) = -5*d**2 + 4*d - 3. Let s(u) = 2*f(u) + 3*p(u). Find h such that s(h) = 0.
1
Let c(k) be the third derivative of -k**8/1176 + 2*k**7/735 - k**6/420 - 3*k**2. Find u, given that c(u) = 0.
0, 1
Let s(q) be the third derivative of 0*q + 1/336*q**8 + 1/24*q**4 - 1/6*q**3 - 1/210*q**7 - 1/60*q**6 + 1/30*q**5 + 0 + q**2. Solve s(b) = 0 for b.
-1, 1
Let n be -4*1 + (-7)/(-3) + 2. Suppose -n*p**4 - 1/3*p**3 + 0*p**2 + 0 + 0*p = 0. Calculate p.
-1, 0
Let b(s) be the third derivative of s**7/3780 + s**6/810 + s**5/540 + s**3/2 + s**2. Let c(f) be the first derivative of b(f). Suppose c(g) = 0. What is g?
-1, 0
Let h be 4 + -7 + 101*1/33. Let w(f) be the first derivative of -h*f**3 + 2/11*f + 0*f**2 + 1. Determine l so that w(l) = 0.
-1, 1
Let t(b) be the third derivative of -b**7/315 + b**6/180 + b**5/45 + 9*b**2. Factor t(f).
-2*f**2*(f - 2)*(f + 1)/3
Let j be (-2035)/39 - (-6)/(-39). Let u = j + 53. Solve 16/3*r + 32/3*r**2 + u = 0.
-1/4
Let d be ((-8)/(-10))/((-4)/30). Let y = 10 + d. Determine r so that 1/4*r - 1/2 - y*r**3 - 4*r**4 + 15/4*r**5 + 9/2*r**2 = 0.
-1, -1/3, 2/5, 1
Let f(p) be the second derivative of -p**6/75 + p**5/50 + 2*p**4/15 - 4*p**3/15 + 46*p. Suppose f(q) = 0. What is q?
-2, 0, 1, 2
Let u(x) = x**2 - 6*x + 4. Let w be u(6). Determine k, given that 3 - 72*k**3 + 8*k + 3*k**2 + 48*k**w + 9*k + k + 0*k**2 = 0.
-1/4, 1
Let t = 793/7 - 113. Factor 4/7*k**2 - t*k**3 - 2/7*k + 0.
-2*k*(k - 1)**2/7
Let p(n) = n**2 + 9*n - 6. Let s be p(-10). Let l(k) be the first derivative of -6/5*k + 2/5*k**3 + 2 - 9/20*k**s + 9/10*k**2. What is g in l(g) = 0?
-1, 2/3, 1
Let d(i) be the third derivative of -i**7/210 - i**6/30 + 2*i**4/3 + 7*i**3/6 + 2*i**2. Let r(m) be the first derivative of d(m). Factor r(s).
-4*(s - 1)*(s + 2)**2
Suppose -2*o + 18 = 4. Factor w**3 - 3*w - 2*w**2 + 9*w**2 - o*w**2 - 2.
(w - 2)*(w + 1)**2
Suppose -2*z = 3*z + 10. Let m = 5 + z. What is t in -3 + 2*t**5 - 2*t - 4*t**2 + m + 4*t**4 = 0?
-1, 0, 1
Let s(m) be the second derivative of -m**7/2940 - m**6/420 + m**4/21 - m**3/3 + 2*m. Let v(i) be the second derivative of s(i). Factor v(g).
-2*(g - 1)*(g + 2)**2/7
Suppose 4*u = -0*u + 8. What is f in 6*f + 0 + 21 - 3 - 10*f**u + 2*f**3 = 0?
-1, 3
Let a(f) = -2*f**3 + 6*f**2 - 9*f. Let h(j) = -6*j**2 - 2*j**3 + 8*j**3 + 0*j**2 + 10*j - 4*j**3. Let z(s) = -6*a(s) - 5*h(s). Factor z(x).
2*x*(x - 2)*(x - 1)
Factor -18 - 22 + 60*w + 5*w**3 - 38*w**2 + 8*w**2.
5*(w - 2)**3
Let k(l) = -4*l**2 - 3*l + 1. Let p(m) = 5*m**2 + 4*m. Let a(u) = 4*k(u) + 3*p(u). Let a(f) = 0. What is f?
-2, 2
Let t(n) be the first derivative of -n**3/4 + 15*n**2/8 + 49. Find a, given that t(a) = 0.
0, 5
Suppose -y + 5*y - 2*o = 6, -5*y = 5*o - 15. What is c in -2*c**2 + c**y - c**2 = 0?
0
Let d(l) be the second derivative of -l**4/6 + 4*l**3/3 + 5*l**2 - 52*l. Find t such that d(t) = 0.
-1, 5
Let i be (2/5)/((-36)/(-30))*0. Solve -2/3*j**2 + 1/3*j**3 + 0*j + i + 11/3*j**4 - 10/3*j**5 = 0.
-2/5, 0, 1/2, 1
What is t in 0 - 2/3*t**3 + 0*t**2 + 0*t = 0?
0
Let z(w) be the third derivative of w**6/80 + w**5/10 - 11*w**4/16 + 3*w**3/2 - 16*w**2. Let z(i) = 0. Calculate i.
-6, 1
Let g(d) = -5*d**4 + 6*d**3 + 5*d**2 + 6*d + 6. Let j(t) = t**4 - t**3 - t**2 - t - 1. Let w(y) = -g(y) - 6*j(y). What is c in w(c) = 0?
-1, 0, 1
Let s(f) be the first derivative of f**4/9 - 8*f**3/27 - 26*f**2/9 - 40*f/9 + 35. Determine p so that s(p) = 0.
-2, -1, 5
Suppose -4*k**4 - 144*k**2 - 47*k + 263*k - 108 + 40*k**3 + 0*k**3 = 0. Calculate k.
1, 3
Let t(w) be the third derivative of w**7/525 - w**5/75 + w**3/15 - 4*w**2. Factor t(r).
2*(r - 1)**2*(r + 1)**2/5
Suppose 0 = -4*v + q + 3*q + 24, 2*v - 3*q - 15 = 0. Let x be (5 - v) + 2 + -4. Solve x*i**2 - 1/2*i + 1/2*i**3 + 0 = 0 for i.
-1, 0, 1
Factor -18/13*w**2 - 4/13 + 14/13*w - 2/13*w**4 + 10/13*w**3.
-2*(w - 2)*(w - 1)**3/13
Let p(a) = a + 11. Let n be p(-8). Factor 0*q + n*q**2 + 2*q**2 - 6*q**2 + q.
-q*(q - 1)
Let s be -1 + 7 + (3 - 1) + -1. Let y(t) be the second derivative of 0*t**3 + 1/66*t**4 + 0*t**2 + 1/110*t**5 - 1/231*t**s - 1/165*t**6 + 0 - 2*t. Factor y(o).
-2*o**2*(o - 1)*(o + 1)**2/11
Suppose 50*t + 2*t**2 + 5*t**2 + 12 - 48*t**3 - 2*t + 2*t**2 - 21*t**4 = 0. What is t?
-2, -1, -2/7, 1
Factor 0*q - 1/2*q**2 + 2.
-(q - 2)*(q + 2)/2
Factor -r**3 + 4 + 3*r**2 + 2*r**5 - 10*r**2 + 3*r**4 - r**5.
(r - 1)**2*(r + 1)*(r + 2)**2
Let y(x) be the second derivative of -2*x**7/21 + 2*x**5/5 - 2*x**3/3 - 7*x. Factor y(a).
-4*a*(a - 1)**2*(a + 1)**2
Let k(q) be the third derivative of q**7/5040 - q**6/360 + q**5/60 - q**4/8 - 2*q**2. Let y(z) be the second derivative of k(z). Factor y(u).
(u - 2)**2/2
Let i