Determine t so that 4 - 2*t + t - 3*t**x + 0*t = 0.
-4/3, 1
Let y(m) = -m**2 - 2*m. Let x be y(-2). Let w be 2/(-2) - x - -3. Solve 2*k - 2*k - 2 + 2*k**w = 0 for k.
-1, 1
Let 2/3*g + 2/9*g**3 - 2/9 - 2/3*g**2 = 0. What is g?
1
What is z in 3/5*z**5 + 42/5*z**3 + 27/5*z + 6/5 + 48/5*z**2 + 18/5*z**4 = 0?
-2, -1
Let k(c) be the second derivative of c**4/84 + c**3/21 - 15*c. Let k(l) = 0. What is l?
-2, 0
Suppose 2 = -5*h - 13. Let p be 14 - 1/h*0. Factor p*r**2 - 4*r + 4 + 11*r + 11*r.
2*(r + 1)*(7*r + 2)
Let r(v) be the third derivative of -1/60*v**6 + 0*v + 0*v**5 + 2*v**2 + 1/4*v**4 + 0 - 2/3*v**3. Factor r(z).
-2*(z - 1)**2*(z + 2)
Let s(m) be the second derivative of -m**5/20 - m**4/3 - m**3/2 + m**2 - 5*m. Let i be s(-2). Factor -1/3*k**5 + 0 + 0*k + 0*k**3 - 2/3*k**4 + i*k**2.
-k**4*(k + 2)/3
Factor -46*n**3 + 16*n**2 + 588*n**4 - 686*n**5 - 100*n**3 - 22*n**3.
-2*n**2*(7*n - 2)**3
Let i be (-1 - 20/(-8))/((-15)/(-20)). Let 0*h**3 + 0*h**i - 4/7*h**4 + 0 + 2/7*h**5 + 0*h = 0. Calculate h.
0, 2
Let n be ((-3)/27)/(1 - 4). Let f(w) be the first derivative of 2/9*w**5 - 1/2*w**4 + 0*w + 14/27*w**3 + 1 - n*w**6 - 2/9*w**2. Find o, given that f(o) = 0.
0, 1, 2
Let j = 4 + 0. Suppose 0 = -2*g + t + j, -g - t - 3*t = -2. Solve 0*s + 2/7*s**g + 0 = 0 for s.
0
Let k(y) be the second derivative of -5*y**4/12 - y**3/2 + y**2 + 4*y. Factor k(i).
-(i + 1)*(5*i - 2)
Let o(x) be the second derivative of x**5/150 + x**4/30 + x**3/15 + x**2/2 - 4*x. Let h(k) be the first derivative of o(k). Factor h(a).
2*(a + 1)**2/5
Find h, given that 0*h - 3/4*h**2 + 3/4 = 0.
-1, 1
Let q(r) be the third derivative of -r**5/300 + r**4/30 - r**3/10 - 12*r**2. Determine j, given that q(j) = 0.
1, 3
Let x = 6/5 - 117/110. Let c = x + 4/11. Factor c*h**2 + 1 - 3/2*h.
(h - 2)*(h - 1)/2
Suppose 3*m + 0*i = -3*i + 21, 0 = -4*m + 2*i + 10. Solve -13 + m*j + 13 - 2*j**5 - 6*j**4 - 2*j**3 + 6*j**2 = 0 for j.
-2, -1, 0, 1
Find a such that -54/7*a + 3/7*a**2 + 243/7 = 0.
9
Suppose 3*k = 3*j + 6, -j - 3*k + 11 = j. Let z = 3 - j. Determine s so that 0 + 0*s + 1/4*s**3 + 1/4*s**z = 0.
-1, 0
Let f(s) be the third derivative of s**6/120 + 3*s**5/20 + 9*s**4/8 + 9*s**3/2 - 8*s**2. Solve f(d) = 0 for d.
-3
Let u(x) be the second derivative of x**6/105 + 2*x**5/35 + x**4/14 - 4*x**3/21 - 4*x**2/7 - 14*x. Determine z so that u(z) = 0.
-2, -1, 1
Let o(x) be the first derivative of -x**4/10 + 2*x**3/3 - 6*x**2/5 + 20. Factor o(m).
-2*m*(m - 3)*(m - 2)/5
Suppose 2*b + 1 = x, x - 6*b - 10 = -b. Let y = -3 - x. Determine q so that -1/5*q**4 + 1/5*q**3 - 1/5*q + 3/5*q**y - 2/5 = 0.
-1, 1, 2
Let a be (-4)/(-30) + 6/15. Let p = 4/5 + a. Find i, given that -p*i**3 + 0*i**2 + 2/3 + 4/3*i - 2/3*i**4 = 0.
-1, 1
Let f(t) be the first derivative of t**5/2 + 5*t**4/4 + 6. Suppose f(y) = 0. Calculate y.
-2, 0
Let u(z) be the third derivative of -z**6/1800 - z**5/200 - z**4/60 - 5*z**3/6 - z**2. Let p(j) be the first derivative of u(j). Factor p(c).
-(c + 1)*(c + 2)/5
Suppose 3*f - f = 18. Let m be ((-1)/f)/((-4)/8). Factor 0 - 2/9*j**2 - 4/9*j + m*j**3.
2*j*(j - 2)*(j + 1)/9
Let n = 5 + -2. Factor 6*i**3 + 3*i**3 + i**2 + 2*i**4 - 5*i**n + i**2.
2*i**2*(i + 1)**2
Let d(p) be the second derivative of -p**7/21 + 8*p**6/45 - 11*p**5/45 + 4*p**4/27 - p**3/27 + 14*p. Find r, given that d(r) = 0.
0, 1/3, 1
Let o(z) be the second derivative of z**4/78 + z**3/13 + 2*z**2/13 - 2*z. Solve o(u) = 0.
-2, -1
Let r(y) be the third derivative of 0*y**5 + 1/315*y**7 + 0*y**4 + 0*y + 0 - 4*y**2 + 0*y**3 - 1/180*y**6. Factor r(s).
2*s**3*(s - 1)/3
Let n = 6 + -2. Suppose n*f = 3*f. Solve 1/4*c**3 + f*c - 1/4*c**4 + 1/2*c**2 + 0 = 0 for c.
-1, 0, 2
Factor -1/6*o**2 + 0 + 1/6*o.
-o*(o - 1)/6
Let c be 3*2 + 5 + -11 + 3. Find i such that 3*i**2 + 1/2 + 1/2*i**4 - 2*i**c - 2*i = 0.
1
Let b(t) be the first derivative of -1/2*t**3 + 7/12*t**2 + 5/24*t**4 - 1/30*t**5 - 1/3*t + 2. Determine j so that b(j) = 0.
1, 2
Let z be 98/84 + 1*-1*1. Let t(r) be the second derivative of -3*r - 4/3*r**3 + z*r**4 + 4*r**2 + 0. Let t(j) = 0. What is j?
2
Let s be 186/504 - 6/21. Let q(a) be the first derivative of -s*a**4 - 1/3*a - 1/2*a**2 + 2 - 1/3*a**3. Factor q(i).
-(i + 1)**3/3
Let g(r) be the third derivative of 1/840*r**7 + 0*r + 0*r**6 + 5*r**2 + 0*r**4 + 1/24*r**3 - 1/120*r**5 + 0. Suppose g(w) = 0. What is w?
-1, 1
Factor -148*c**2 - 4*c**4 + 37*c**3 - 42 + 240*c - 102 + 3*c**3.
-4*(c - 3)**2*(c - 2)**2
Let a(n) be the first derivative of 3*n**4/20 - n**3/15 + 5. Find b such that a(b) = 0.
0, 1/3
Factor -25/4*j**2 + 0 - 5*j - 5/4*j**3.
-5*j*(j + 1)*(j + 4)/4
Let q be 1 + -5 + 75/18. Let s(x) be the second derivative of 0 - 3*x + 1/18*x**4 - q*x**2 + 1/18*x**3. Solve s(p) = 0 for p.
-1, 1/2
Let h = -75 - -451/6. Let w(u) be the third derivative of 0 - h*u**3 - u**2 - 5/24*u**4 + 0*u - 1/15*u**5. Let w(a) = 0. Calculate a.
-1, -1/4
Factor 65*o**3 - o**2 + 5*o**2 - 61*o**3.
4*o**2*(o + 1)
Let w = -157/35 - -37/7. Factor -2/5*g**3 - w*g**2 + 0*g + 0.
-2*g**2*(g + 2)/5
Let d(i) be the second derivative of i**4/6 + 3*i**3 + 8*i**2 + 56*i. Factor d(z).
2*(z + 1)*(z + 8)
Let i be 6/(-4)*(-60)/45. Let t(s) be the third derivative of 0 - 1/120*s**5 + 0*s + 0*s**3 - 1/24*s**4 + 1/240*s**6 - s**i. Suppose t(u) = 0. Calculate u.
-1, 0, 2
Let t(p) = -16*p**3 - 6*p**2 + 40*p - 28. Let u(w) = -5*w**3 - 2*w**2 + 13*w - 9. Let i(m) = 6*t(m) - 20*u(m). Solve i(q) = 0.
-3, 1
Let r(l) = 177*l**3 + 81*l**2 - 144*l - 48. Let g(t) = -11*t**3 - 5*t**2 + 9*t + 3. Suppose -2*c - 77 = -11. Let o(p) = c*g(p) - 2*r(p). Factor o(f).
3*(f - 1)*(f + 1)*(3*f + 1)
Let d(h) be the first derivative of -3*h**4/4 + 3*h**2/2 + 1. Factor d(i).
-3*i*(i - 1)*(i + 1)
Let u(x) be the third derivative of 0*x + 1/15*x**5 - 2/3*x**3 - 1/60*x**6 + 1/12*x**4 + 6*x**2 + 0. Factor u(a).
-2*(a - 2)*(a - 1)*(a + 1)
Factor -i**2 + 82*i - 9 + 76*i - 152*i.
-(i - 3)**2
Suppose 8*r = 20 + 12. Let l(f) be the first derivative of 3/8*f**r + 0*f**2 + 0*f - 1 + 0*f**3. Let l(z) = 0. What is z?
0
Let s be (-20)/(-24)*(-5 - (-116)/20). Suppose 1/3*g**2 + 0 + s*g = 0. Calculate g.
-2, 0
Let y(z) be the third derivative of z**6/60 - z**5/10 - 3*z**4/4 - 5*z**3/3 + 53*z**2. Factor y(q).
2*(q - 5)*(q + 1)**2
Let s = -41 - -44. Let m(t) be the second derivative of 0 - 1/2*t**2 - 1/12*t**4 + 2*t - 1/3*t**s. Find z, given that m(z) = 0.
-1
Let r(q) be the third derivative of -q**9/68040 + q**8/10080 - q**7/5670 - q**4/6 - 3*q**2. Let i(l) be the second derivative of r(l). Factor i(v).
-2*v**2*(v - 2)*(v - 1)/9
Let c(a) = 6*a**2 + 4*a + 12. Let j(p) = 11*p**2 + 9*p + 23. Let q(i) = -7*c(i) + 4*j(i). Factor q(f).
2*(f + 2)**2
Let y(h) be the first derivative of -h**5/40 + h**4/12 - h**3/12 + 2*h + 3. Let n(z) be the first derivative of y(z). Factor n(t).
-t*(t - 1)**2/2
Let o(p) = 2*p**3 + 4*p**2 - 12*p. Let v(h) = 3*h - 5. Let n(q) = 4*q - 7. Let d(i) = 5*n(i) - 7*v(i). Let u(m) = 12*d(m) - o(m). Solve u(z) = 0 for z.
-2, 0
Let t(v) be the first derivative of 4 + 1/72*v**4 + 0*v**2 + 0*v - 4/3*v**3 - 1/1080*v**6 + 0*v**5. Let c(d) be the third derivative of t(d). Factor c(u).
-(u - 1)*(u + 1)/3
Suppose -5*r + 27 = 4*r. Let u(o) be the second derivative of 0*o**2 - 1/12*o**4 + 0 - 2*o + 0*o**r - 1/8*o**5. Factor u(m).
-m**2*(5*m + 2)/2
Let c(b) be the second derivative of -3*b**5/40 + 3*b**3/4 - 3*b**2/2 - 4*b. What is t in c(t) = 0?
-2, 1
Let z be (4/9)/((-28)/(-18)). Determine r so that 2/7*r**3 - 1/7 + 0*r**2 + 1/7*r**4 - z*r = 0.
-1, 1
Solve 0 + 8*a**3 - 14/5*a**4 + 8/5*a**2 - 196/5*a**5 + 0*a = 0.
-2/7, 0, 1/2
Let x be -2 - (2 - 1)/(-1). Let c(v) = 4*v**2 + v + 1. Let h be c(x). Find t, given that 0*t**3 - 2*t**3 + t**4 - 5*t**h + 3*t**5 - t + 4*t**2 = 0.
-1, 0, 1/3, 1
Let p(s) = -21*s. Let v be p(-5). Let n be -1 - (v/(-9))/5. Determine o, given that 0 + n*o**3 - 2/3*o**2 - 2/3*o**4 + 0*o = 0.
0, 1
Let q(h) be the third derivative of h**10/15120 + h**9/3780 - h**7/630 - h**6/360 + h**4/8 - h**2. Let l(u) be the second derivative of q(u). Factor l(y).
2*y*(y - 1)*(y + 1)**3
Let g(o) = 2*o**2 - 11*o - 8. Let f(l) = -9*l**2 + 54*l + 39. Let u(c) = -5*f(c) - 24*g(c). Solve u(x) = 0.
-1
Let u = -796 + 798. Factor -1/5*c**u - 1/5*c + 2/5.
-(c - 1)*(c + 2)/5
Let d(y) be the third derivative of 3/140*y*