*y + 25/6 - 13/2*y**2 + 2/3*y**3.
(y - 5)**2*(4*y + 1)/6
Let s = -1/4639 - -190254/255145. Let t = s + 3/55. Solve 2*i**5 + 42/5*i**3 + t*i + 34/5*i**4 + 0 + 22/5*i**2 = 0.
-1, -2/5, 0
Let z(i) = 4*i**2 + 4*i - 2. Let o(c) = -17*c**2 - 17*c + 8. Let l(j) = 6*o(j) + 26*z(j). Factor l(u).
2*(u - 1)*(u + 2)
Let f be (-41)/15 - (-41 + 38). Let r(a) be the first derivative of -a**2 + 1/2*a**4 + 1 + f*a**3 - 4/5*a. Solve r(y) = 0.
-1, -2/5, 1
Let x = -19/28 - -67/28. Suppose -x*c**2 - 8/7*c**4 + 18/7*c**3 + 2/7*c + 0 = 0. Calculate c.
0, 1/4, 1
Suppose 7*s - 6 = 4*s. Let f = 2 - 2. Find t, given that -t - s*t**2 - 1 + f*t + 2 = 0.
-1, 1/2
Let g(f) be the third derivative of f**6/900 - f**5/450 - f**4/180 + f**3/45 - 16*f**2. Find r such that g(r) = 0.
-1, 1
Factor 4 - 2*j**2 - 6*j**2 + 0*j**2 + 7*j**2.
-(j - 2)*(j + 2)
Factor 8 + 0*y**2 + 1 + 3*y**2 - 3*y**3 - 312*y + 327*y.
-3*(y - 3)*(y + 1)**2
Let o = 40 + -88. Let j = o - -193/4. Factor -1/4*f**3 - 3/4*f**2 - j - 3/4*f.
-(f + 1)**3/4
Let z be (-3*(-4)/(-14))/((-300)/525). Factor -3/4*g**2 + 9/4*g - z.
-3*(g - 2)*(g - 1)/4
Let w(x) be the third derivative of 1/3*x**3 + 0 + 5/96*x**8 - 7/24*x**5 + 113/240*x**6 - 109/420*x**7 + 0*x - 1/6*x**4 - 3*x**2. Suppose w(i) = 0. Calculate i.
-2/7, 2/5, 1
Let n be 559/65 + (-2)/(-5). Let l = n - 35/4. Factor 1/2*r**2 + 0*r - l*r**4 + 0*r**3 - 1/4.
-(r - 1)**2*(r + 1)**2/4
Suppose -4*a - 39 = -5*u + 21, 0 = a + 5. Let l = u - 5. Factor 2*i - i**3 - 3*i - i**2 - 4*i**2 + l*i**2.
-i*(i + 1)**2
Let k(b) be the first derivative of -2 + 1/8*b**4 - 1/2*b + 3/4*b**2 - 1/2*b**3. Factor k(x).
(x - 1)**3/2
Factor 0 - 3/2*q**3 - 3*q**2 + 0*q.
-3*q**2*(q + 2)/2
Let z be 286/(-132) - (-5)/2. Solve 0 - 1/6*w**2 - z*w = 0 for w.
-2, 0
Let a(h) be the first derivative of -h**5/120 - h**2/2 + 4. Let x(o) be the second derivative of a(o). Find w, given that x(w) = 0.
0
Let b(x) be the third derivative of -x**5/20 + 5*x**4/2 - 50*x**3 - 14*x**2. Let b(u) = 0. What is u?
10
Let f(q) = 16*q**3 - 14*q**2 - 30*q + 11. Let c(b) = 3*b**3 - 3*b**2 - 6*b + 2. Let v(z) = 33*c(z) - 6*f(z). Factor v(u).
3*u*(u - 6)*(u + 1)
Let q(l) be the third derivative of -l**8/1008 + l**6/120 + l**5/90 + 5*l**2. Suppose q(v) = 0. What is v?
-1, 0, 2
Factor 0 + 4/13*p**2 + 0*p + 2/13*p**3.
2*p**2*(p + 2)/13
Let u = 10 + -6. Let l(t) be the third derivative of 0*t**6 + 0 + 0*t**3 + 0*t**u - 1/420*t**7 + 1/120*t**5 + 0*t - 2*t**2. Let l(m) = 0. What is m?
-1, 0, 1
Let h(z) = -8*z**4 - 11*z**3 - 2*z**2 + 11*z - 5. Let y(w) = -39*w**4 - 54*w**3 - 9*w**2 + 54*w - 24. Let r(m) = -24*h(m) + 5*y(m). Find n, given that r(n) = 0.
-2, -1, 0, 1
Let a = 3 - -2. Suppose -i - 2*p = 2*p - 11, 2*i + 5*p - 16 = 0. Let -2*v**a - 12*v**3 - 8*v**4 - 8*v**2 + 3 - i - 2*v = 0. What is v?
-1, 0
Let o(w) be the second derivative of 0*w**4 - 3*w + 0 - 1/3*w**3 - 2/3*w**2 + 1/30*w**5. Let o(d) = 0. What is d?
-1, 2
Factor -4/9*u**5 + 80/9*u**4 - 580/9*u**3 + 200*u**2 - 240*u + 96.
-4*(u - 6)**3*(u - 1)**2/9
Find i such that i**2 + 21 - 13 - 9 = 0.
-1, 1
Let a = -6 - -6. Find h, given that a*h**2 - h**3 + 4*h**3 - 5*h**3 - 2*h**2 = 0.
-1, 0
Let h(a) be the first derivative of 2*a**5/5 - a**4/2 - 4*a**3/3 - 2. Factor h(b).
2*b**2*(b - 2)*(b + 1)
Let s(z) be the third derivative of 0*z**3 + 1/96*z**6 + 1/80*z**5 + 0*z + 0 + 4*z**2 - 1/48*z**4. Let s(u) = 0. What is u?
-1, 0, 2/5
Let k(h) be the second derivative of 2*h**6/45 + 4*h**5/15 + 2*h**4/9 - 8*h**3/9 - 2*h**2 + 45*h. Factor k(b).
4*(b - 1)*(b + 1)**2*(b + 3)/3
Let d(a) be the second derivative of a**7/126 + a**6/90 - a**5/30 - 2*a. Factor d(k).
k**3*(k - 1)*(k + 2)/3
Let l(a) be the second derivative of -a**7/630 - a**6/180 - a**5/180 - 4*a**2 + 10*a. Let c(h) be the first derivative of l(h). Factor c(n).
-n**2*(n + 1)**2/3
Let 2/3 - 7/3*f - 13/3*f**2 + 6*f**3 = 0. What is f?
-1/2, 2/9, 1
Let g = -268 - -1344/5. Factor 0 + g*t + 49/5*t**3 - 28/5*t**2.
t*(7*t - 2)**2/5
Let n(g) be the second derivative of 27*g**4/7 + 24*g**3/7 + 8*g**2/7 - 17*g. What is s in n(s) = 0?
-2/9
Let f be -2 + 5 + -1 + 0. Factor -7*n**f + 9 + 3*n**2 + n**2 - 6*n.
-3*(n - 1)*(n + 3)
Let w(t) = -4*t**3 + t**2 + 3*t + 3. Let a(p) = -3*p**3 + p**2 + 2*p + 2. Let r(z) = -3*a(z) + 2*w(z). Find j such that r(j) = 0.
0, 1
Let h = -21 + 25. Factor c**2 + c + h*c**2 + 2*c**3 + c**3 - 1.
(c + 1)**2*(3*c - 1)
Let q(t) be the first derivative of 49*t**6/9 + 196*t**5/15 + 15*t**4/2 - 16*t**3/9 - 4*t**2/3 - 4. Solve q(l) = 0 for l.
-1, -2/7, 0, 2/7
Let w(a) be the third derivative of -a**7/1260 + a**5/60 - a**4/24 - 3*a**2. Let v(b) be the second derivative of w(b). Factor v(o).
-2*(o - 1)*(o + 1)
Let x(d) = d**2 + 10*d - 13. Let z(o) = o**2 + 9*o - 12. Let w(g) = 4*x(g) - 5*z(g). Let m be w(-6). Factor -m*q**4 + 4*q**4 - 4*q**3 + 0*q**4 + 2*q**2.
2*q**2*(q - 1)**2
Let q(o) be the first derivative of -32*o**6/5 - 336*o**5/25 - 99*o**4/20 + 14*o**3/5 - 3*o**2/10 + 27. Factor q(n).
-3*n*(n + 1)**2*(8*n - 1)**2/5
Let l(a) = a**3 - 2*a**2 - a - 2. Let j be l(3). Factor 3*q**3 - 5*q**2 - 3*q + 2*q**4 + q**2 + q**2 + q**j.
3*q*(q - 1)*(q + 1)**2
Let d be 1 - -6*(-12)/(-9). Let x = d - 7. Let 5*o**2 - 2*o**3 + o - x*o**3 - 2*o**2 + 0*o**3 = 0. What is o?
-1/4, 0, 1
Let p(v) = 8*v**4 - 4*v**3 - 6*v**2 + 5*v - 4. Let n(s) = 24*s**4 - 12*s**3 - 18*s**2 + 15*s - 11. Let a(h) = 3*n(h) - 8*p(h). Factor a(u).
(u + 1)*(2*u - 1)**3
Factor 0 + 16/3*q**2 - 10/3*q**3 + 2/3*q**4 - 8/3*q.
2*q*(q - 2)**2*(q - 1)/3
Let u(t) = t**2 + 4*t + 2. Let w(j) = -3*j**2 - 9*j - 5. Let i(h) = 15*u(h) + 6*w(h). Factor i(o).
-3*o*(o - 2)
Let w(c) = 13*c**3 + 17*c**2 + 17*c - 7. Let z(y) = -4*y**3 - 6*y**2 - 6*y + 2. Let x(q) = -2*w(q) - 7*z(q). Suppose x(g) = 0. What is g?
-2, 0
Let f(i) = -26*i**5 + 11*i**3 - 11*i**2 - 11*i - 11. Let a(j) = 5*j**5 - 2*j**3 + 2*j**2 + 2*j + 2. Let s(r) = 11*a(r) + 2*f(r). Factor s(m).
3*m**5
Suppose 7/3*d**3 + d + 4*d**2 - 2/3 = 0. What is d?
-1, 2/7
Suppose 4*c - 19 + 7 = 0. Suppose 3*s + 4*g + 8 = 0, 5 - c = 5*s - g. Suppose -2/3*x**2 + 1/3*x**3 + 0 + s*x = 0. Calculate x.
0, 2
Let v be (-9)/15 + (-3)/(-5). Suppose 0*t + 2/5*t**4 - 2/5*t**2 + 0*t**3 + v = 0. What is t?
-1, 0, 1
Let d be 10/4*2/1. Suppose -h = -d + 1. Suppose -3*y**3 + h*y**3 + 0*y**5 - y**5 = 0. Calculate y.
-1, 0, 1
Solve -11*l + 2*l**2 + 9*l + 72 - 14*l - 8*l = 0 for l.
6
Suppose -29*o + 31*o - 10 = 0. Let z(y) be the second derivative of 9/10*y**o + 1/14*y**7 + 0 - 2*y - 2/5*y**6 + 1/2*y**3 - y**4 + 0*y**2. Factor z(h).
3*h*(h - 1)**4
Let t(c) be the first derivative of 2*c**5/25 - c**4/2 + 6*c**3/5 - 7*c**2/5 + 4*c/5 + 7. Factor t(r).
2*(r - 2)*(r - 1)**3/5
Let w(n) = -n - 1. Let t be w(-3). Let z = 37 + -33. Solve 0*x + 0 + 0*x**3 - 2/7*x**t + 2/7*x**z = 0 for x.
-1, 0, 1
Let c(u) be the first derivative of u**4/14 + 2*u**3/7 - 4*u**2/7 - 25. Factor c(k).
2*k*(k - 1)*(k + 4)/7
Determine w, given that 2/3*w - 4/9 - 2/9*w**3 + 0*w**2 = 0.
-2, 1
Factor -5/9*y**3 + 1/9*y**2 + 2/9*y**4 + 2/9*y + 0.
y*(y - 2)*(y - 1)*(2*y + 1)/9
Let c(l) be the first derivative of l**3/6 + 3*l**2/4 + l - 5. Factor c(b).
(b + 1)*(b + 2)/2
Let a be 20/(-15) + 6 + -4. Factor -2/3*d**3 + a*d + 0*d**2 + 1/3 - 1/3*d**4.
-(d - 1)*(d + 1)**3/3
Suppose -20 = -5*j + 15. Let o(n) be the second derivative of -3/5*n**6 + 1/5*n**5 + 1/3*n**j + 0*n**2 + 0 + 3*n + 0*n**3 + 0*n**4. Factor o(z).
2*z**3*(z - 1)*(7*z - 2)
Suppose -2*n - 5*n + 35 = 0. Factor 0*m**3 + 2/7*m**n + 0*m**2 + 0*m + 0 - 4/7*m**4.
2*m**4*(m - 2)/7
Let h(v) = -v**2 + 5*v - 3. Let z be h(4). Find m, given that -m**2 - 2*m + 0 - z + 0 + 0 = 0.
-1
Suppose 0 = -17*j - 27*j + 7*j. Factor 3/4*x**2 + 3/4*x + j.
3*x*(x + 1)/4
Suppose q - 9 = -8. Let k(o) be the first derivative of -4/5*o**2 + q + 0*o - 1/10*o**4 + 8/15*o**3. Factor k(b).
-2*b*(b - 2)**2/5
Let z(t) be the second derivative of -t**6/80 + 3*t**4/32 - t**3/8 - 28*t. Determine f so that z(f) = 0.
-2, 0, 1
Let b(w) = -35 + w**3 + 0*w**3 - w**2 + 34. Let u be b(2). Factor 2*d**u + 2*d + 1/2*d**4 + 3*d**2 + 1/2.
(d + 1)**4/2
Suppose -3*s + 6 = -0. Let q(g) be the second derivative of -g**2 + 13/20*g**5 + 0 - 1/6*g**3 + 1/6*g**6 - s*g + 3/4*g**4. Factor q(k).
(k + 1)**3*(5*k - 2)
Let j = 51 + -51. Factor 1/4*x**2 + j*x - 1/4.
(x - 1)*(x + 1)/4
Let f(v) be