
2*(c - 1)**2*(c + 1)/7
Let c = 19 + -13. Suppose 6 = 4*u - c. Let -14*z**u - z**2 + 4*z + 19*z**2 - 15*z + 7*z = 0. Calculate z.
0, 2/7, 1
Determine c so that 4*c**4 - 6*c**3 + 4*c**4 + 11*c**2 - 5*c**2 - 2*c - 6*c**4 = 0.
0, 1
Let k(t) be the third derivative of 0 - 4*t**2 - 1/9*t**3 + 0*t + 1/24*t**4 - 1/180*t**5. Determine r, given that k(r) = 0.
1, 2
Let i(l) be the third derivative of l**7/420 + l**6/90 + l**5/60 - l**3/3 - 4*l**2. Let q(z) be the first derivative of i(z). Solve q(h) = 0 for h.
-1, 0
Let r(b) = -b**2 + 10*b - 1. Let h be r(9). Let p = h + -5. Find f, given that 2/5*f**2 + 2/5*f**p - 2/5 - 2/5*f = 0.
-1, 1
Let d(y) be the third derivative of y**8/84 - 16*y**7/105 + 5*y**6/6 - 38*y**5/15 + 14*y**4/3 - 16*y**3/3 - 4*y**2. Determine n, given that d(n) = 0.
1, 2
Let u(j) be the third derivative of -1/3*j**3 + 2*j**2 - 1/12*j**6 + 4/105*j**7 + 5/12*j**4 + 0 - 1/10*j**5 + 0*j. Factor u(g).
2*(g - 1)**2*(g + 1)*(4*g - 1)
Let k = 321/8 - 40. Factor 0*z**2 + 0 + 1/8*z**4 + 0*z - k*z**3.
z**3*(z - 1)/8
Find y, given that 88/5*y - 14*y**3 - 92/5*y**2 - 16/5 = 0.
-2, 2/7, 2/5
Let a(r) be the first derivative of r**7/840 - r**6/360 - r**5/120 + r**4/24 + 4*r**3/3 + 1. Let c(w) be the third derivative of a(w). What is f in c(f) = 0?
-1, 1
Suppose -2/3*n**2 + 4/3*n - 2/3 = 0. What is n?
1
Suppose -4/7*p**2 - 10/7*p**3 - 2/7*p**5 - 8/7*p**4 + 0 + 0*p = 0. What is p?
-2, -1, 0
Let t(x) be the third derivative of -x**6/540 + x**5/90 - x**4/36 + x**3/27 + 3*x**2 - x. Factor t(v).
-2*(v - 1)**3/9
Solve 3/5*v**4 - 6/5*v + 6/5*v**3 - 3/5 + 0*v**2 = 0.
-1, 1
Let j(y) be the third derivative of y**8/126 - y**7/45 + y**6/120 + y**5/45 - y**4/72 - 4*y**2. Solve j(p) = 0.
-1/2, 0, 1/4, 1
Factor -3/4 - 13/4*h - h**2.
-(h + 3)*(4*h + 1)/4
Let h(t) = -3*t**3 - 12*t**2 + 17*t + 62. Let l(v) = -v**3 - 4*v**2 + 6*v + 21. Let j(b) = -3*h(b) + 8*l(b). Suppose j(y) = 0. Calculate y.
-3, 2
Factor -3*i - 9/2 + 3/2*i**2.
3*(i - 3)*(i + 1)/2
Let u(j) be the third derivative of 0 - 1/105*j**5 + 0*j**6 - 1/84*j**4 + 0*j + 2/735*j**7 + 3*j**2 + 1/1176*j**8 + 0*j**3. Find f, given that u(f) = 0.
-1, 0, 1
Factor -4*k + 5*k**2 - 14 + 2 - k + 2.
5*(k - 2)*(k + 1)
Let o(w) be the second derivative of -1/60*w**5 + 3/2*w**2 + 5*w + 1/3*w**3 + 1/24*w**4 + 0. Let j(l) be the first derivative of o(l). Solve j(m) = 0 for m.
-1, 2
Let o(t) be the third derivative of 0*t + 1/8*t**4 + 0 + 1/20*t**5 - 2*t**2 + 0*t**3. Let o(f) = 0. Calculate f.
-1, 0
Factor -8/13 + 8/13*t - 2/13*t**2.
-2*(t - 2)**2/13
Let d(t) = 6*t**2 - 3*t - 1. Let w be d(1). Determine b, given that 1/2*b + 4*b**w + 8*b**3 + 0 = 0.
-1/4, 0
Let n(a) be the second derivative of a**7/28 + 3*a**6/20 + 3*a**5/20 + 17*a. Find q such that n(q) = 0.
-2, -1, 0
Let l(j) be the first derivative of -j**5/180 + j**4/36 - j**2/2 - 1. Let a(g) be the second derivative of l(g). Find p, given that a(p) = 0.
0, 2
Let h(z) be the second derivative of z**6/195 + z**5/130 - z**4/78 - z**3/39 - 15*z. Factor h(r).
2*r*(r - 1)*(r + 1)**2/13
Let v(d) be the first derivative of d**5 - 5*d**4/2 + 54. Determine x, given that v(x) = 0.
0, 2
Let u(s) be the first derivative of 7*s**4/12 - 3*s**3/2 + s**2 - 3*s - 1. Let v(j) be the first derivative of u(j). What is h in v(h) = 0?
2/7, 1
Determine g, given that -3/4*g + 1/4*g**2 - 1 = 0.
-1, 4
Let t(r) = 16*r**3 - 1. Let w be t(1). Let i = -7 + w. Find f such that 3*f**2 + 12*f**3 - 2*f + i*f**4 + 3*f**4 - 4*f**4 = 0.
-1, 0, 2/7
Let c = -36 + -3. Let h = -115/3 - c. Suppose h*u**4 + 0 + 2/9*u**5 + 0*u + 2/9*u**2 + 2/3*u**3 = 0. Calculate u.
-1, 0
Factor -2*s**2 - 3/2*s + 0 - 1/2*s**3.
-s*(s + 1)*(s + 3)/2
Let o be 6/(-8) - (-213)/(-60). Let r = -261/70 - o. Find f such that 2/7 + r*f + 2/7*f**2 = 0.
-1
Let y = -1464/7 + 212. What is r in -6/7*r**5 - 2/7*r + 0 - 12/7*r**2 - 24/7*r**3 - y*r**4 = 0?
-1, -1/3, 0
Let n be 20*((-12)/(-5) + -2). Let p(q) = -15*q**2 + 17*q + 4. Let u(j) = -46*j**2 + 50*j + 12. Let f(o) = n*p(o) - 3*u(o). Find r, given that f(r) = 0.
-2/9, 1
Suppose 5*r = -4*o + 6, -4*r + 4*o + 2 = -5*r. Factor c + 3*c**4 - 3*c**4 + 2*c**r - 2*c**4 - c**5.
-c*(c - 1)*(c + 1)**3
Let j(z) = 5*z**4 + 7*z**3 + 8*z**2 + 3*z + 3. Let g(n) = -8*n**4 - 14*n**3 - 16*n**2 - 5*n - 5. Let p(d) = 3*g(d) + 5*j(d). Factor p(k).
k**2*(k - 8)*(k + 1)
Let n(j) = -19*j**5 + 19*j**4 + 31*j**3 - 43*j**2 + 12*j. Let r(z) = 9*z**5 - 9*z**4 - 15*z**3 + 21*z**2 - 6*z. Let q(d) = 6*n(d) + 13*r(d). Factor q(g).
3*g*(g - 1)**3*(g + 2)
Factor -4/7*p**2 + 0 + 2/7*p**3 + 2/7*p.
2*p*(p - 1)**2/7
Factor 4/3*p**2 + 100/3 - 40/3*p.
4*(p - 5)**2/3
Let k(a) be the third derivative of 5*a**8/2688 + a**7/210 - a**6/240 - a**5/48 - a**4/192 + a**3/24 - 12*a**2. Factor k(o).
(o - 1)*(o + 1)**3*(5*o - 2)/8
Let r be (1/(-2))/(7/(-7)). Let m(s) be the first derivative of -r*s**2 + 0*s + s**3 - 2 + s**4. Find z, given that m(z) = 0.
-1, 0, 1/4
Let t(r) be the first derivative of -1/3*r**4 - 6 + 2/3*r**3 + 4/3*r**2 - 2/15*r**5 - 8/3*r. What is c in t(c) = 0?
-2, 1
Let h(p) = p**3 + 2*p**2. Let x be h(-2). Let r(v) be the second derivative of 1/6*v**4 - v - 1/3*v**3 + 0 + x*v**2. What is z in r(z) = 0?
0, 1
Let v(h) = h**3 + 3*h**2 - 2*h - 2. Let b = -3 - 0. Let y be v(b). Find r such that -2*r**2 - 2*r**2 + 4*r**2 - 2*r**y - 2*r**3 = 0.
-1, 0
Let h(m) = m**2 + 4*m - 8. Let d be h(-6). Suppose d*a = -3*i + 6, -i + 0*a = 2*a - 2. Solve 5*k**2 + i*k**2 - 5*k**2 + 2 - k**2 + 3*k = 0 for k.
-2, -1
Let f(r) be the first derivative of r**5/20 - r**4/2 + 11*r**3/6 - 3*r**2 + 9*r/4 - 17. What is o in f(o) = 0?
1, 3
Let 4/5*m**3 + 0*m + 0*m**2 + 4/5*m**5 - 2*m**4 + 0 = 0. What is m?
0, 1/2, 2
Let o(f) be the third derivative of f**7/70 + f**6/8 + 9*f**5/20 + 7*f**4/8 + f**3 - 7*f**2. Let o(i) = 0. What is i?
-2, -1
Solve 6/7*a + 18/7 - 18/7*a**2 - 6/7*a**3 = 0 for a.
-3, -1, 1
Let j be (-2)/(-8) - (-19)/4. Suppose -j*i = 1 - 21. Suppose -2*z**3 - z + 6*z**2 + z**3 - i*z**2 = 0. Calculate z.
0, 1
Let m = -1184/7 - -170. Factor 0*g**2 + 4/7 + m*g - 2/7*g**3.
-2*(g - 2)*(g + 1)**2/7
Let x(q) = -5. Let f(p) = p**2 + 6. Let i(j) = 4*f(j) + 5*x(j). Let m be i(-1). Factor -2*z**m + 2*z**4 + 4 - 10*z + 6*z**2 + 4*z**3 - 4*z**4.
-2*(z - 1)**3*(z + 2)
Let r(m) be the second derivative of 8*m**2 + 1/3*m**4 + 3*m + 0 - 3/5*m**6 + 21/10*m**5 - 20/3*m**3. Find f such that r(f) = 0.
-1, 2/3, 2
Suppose i = -2*i + 5*k - 14, -k - 2 = -3*i. Let -3*u**4 + 15*u**2 + 9*u**3 - i*u**4 + 2*u**4 - 3*u**5 + 7*u - u = 0. Calculate u.
-1, 0, 2
Let t = 31/2 - 185/12. Let m(c) be the second derivative of 2*c + t*c**4 + 0 - 1/3*c**3 + 1/2*c**2. Factor m(q).
(q - 1)**2
Let i(x) be the third derivative of x**5/20 - x**4/8 - x**3/3 - 6*x**2. Let a(h) = -12*h**2 + 12*h + 9. Let s(o) = -2*a(o) - 9*i(o). Factor s(p).
-3*p*(p - 1)
Let l be 3/((-9)/(-6))*11/99. Suppose -l*n + 2/9*n**2 + 0 = 0. What is n?
0, 1
Let y(m) be the third derivative of m**5/12 + 13*m**2. Suppose y(v) = 0. Calculate v.
0
Let v(j) be the third derivative of 0*j + 0*j**4 + 1/20*j**6 + 0*j**7 + 0 - 1/168*j**8 + j**2 + 0*j**3 - 1/15*j**5. Factor v(b).
-2*b**2*(b - 1)**2*(b + 2)
Let f(i) be the second derivative of 1/3*i**3 + 1/20*i**5 + 0 + 1/4*i**4 + 0*i**2 - 2*i. Factor f(v).
v*(v + 1)*(v + 2)
Let b be (-1)/(-1)*(9 - 9). Suppose 2/3*w**3 - 4/3*w + b - 2/3*w**2 = 0. What is w?
-1, 0, 2
Suppose -5*n + 4*n = 6. Let b be (9 + n)/(3/2). Factor -2/7*c + 0 - 8/7*c**3 + 10/7*c**b.
-2*c*(c - 1)*(4*c - 1)/7
Let y(v) be the second derivative of v**4/6 + 2*v**3/3 - 3*v**2 + 2*v - 6. Factor y(z).
2*(z - 1)*(z + 3)
Let m(t) be the third derivative of -t**8/3024 + t**7/1890 + t**6/1080 - t**5/540 - 2*t**2. Factor m(q).
-q**2*(q - 1)**2*(q + 1)/9
Factor -8/5*h**2 - 4*h - 8/5.
-4*(h + 2)*(2*h + 1)/5
Suppose 4 = 4*h - 2*k, 0 = -0*k - 4*k - 8. Suppose 0*b + b = h. Factor -2/7*a**5 + b + 4/7*a**2 - 4/7*a**4 + 0*a**3 + 2/7*a.
-2*a*(a - 1)*(a + 1)**3/7
Suppose 0 = 5*g - 5*x - 10, -6*x + 7*x = -3*g + 14. Factor 0*k**2 - 4/3*k**3 + 2*k**g + 0 + 0*k.
2*k**3*(3*k - 2)/3
Let w(t) = 4*t**2 + t + 11. Let x be (56/20)/(2/5). Let r(p) = x + p**2 + p**2 - 1. Let g(k) = 7*r(k) - 4*w(k). Suppose g(m) = 0. Calculate m.
-1
Let o be (-9)/6*(-4)/243. Let t = 91/405 - o. Factor 0*n**3 + 0*n + t*n**2 - 1/5*n**4 + 0.
-n**2*(n - 1)*(n + 1)/5