r u(a).
-2*(a - 1)*(5*a - 2)
Let w be 8/3*(-3)/(-2). Let a be 0/(-3) - 1 - -3. Factor 4*t**w - a*t - 3*t**4 + 9*t**2 - 4*t**3 - 4*t**2.
t*(t - 2)*(t - 1)**2
Let h(o) be the first derivative of 2*o**6/3 + 4*o**5/5 - 3*o**4 - 4*o**3/3 + 4*o**2 - 63. Factor h(d).
4*d*(d - 1)**2*(d + 1)*(d + 2)
Let f(s) = s**2 + 2. Let y be f(0). Let g be -4*((-42)/35 + 1/5). Suppose -1/3*r + 0 - 2/3*r**y + 2/3*r**g + 0*r**3 + 1/3*r**5 = 0. What is r?
-1, 0, 1
Let p(o) = o**2 + o. Let q(m) = m**2 + m. Let i(h) = 2*p(h) + q(h). Factor i(c).
3*c*(c + 1)
Let k(p) = -5*p**2 - 23*p - 8. Let i(n) = -2*n**2 - 8*n - 3. Let t(u) = 8*i(u) - 3*k(u). Factor t(a).
-a*(a - 5)
Let f(n) = -8*n**4 - 2*n**3 - 6*n**2. Let m(b) = -b**4 + b**3. Let i(k) = 2*f(k) - 12*m(k). Factor i(o).
-4*o**2*(o + 1)*(o + 3)
Suppose -2*m - 15 = 3*m, 2*x + 3*m = -5. Let u = 3 - x. Let -1 + 3*s - s**2 + u - s = 0. What is s?
0, 2
Let g = -35 + 38. Let x(z) be the second derivative of 0 + 1/12*z**4 + 1/9*z**3 - 1/6*z**2 - g*z. Factor x(n).
(n + 1)*(3*n - 1)/3
Let d(o) be the second derivative of -o**2 + 0 - 1/5*o**5 + 2/3*o**3 - o + 0*o**4 + 1/15*o**6. Factor d(y).
2*(y - 1)**3*(y + 1)
Let i be (-7)/7 + 1 + -3. Let b = i + 3. Suppose b + 1/2*j**3 - 1/2*j**2 + 1/2*j**4 - 1/2*j = 0. What is j?
-1, 0, 1
Let k = 24 + -3. Let -k*u - 2*u**2 + 21*u = 0. Calculate u.
0
Factor -52*p + 45 + 4*p - 4*p**2 + 7*p**2.
3*(p - 15)*(p - 1)
Let x(a) be the third derivative of 0*a + 0*a**3 - 1/90*a**5 + 0*a**4 + 0 - 2*a**2 + 7/360*a**6. Solve x(i) = 0.
0, 2/7
Suppose 0 = 4*y + 8, -2*j - 4*y + y = 0. Factor -j*w - 9*w**2 + 9*w**4 - 6*w**3 + 8*w + w.
3*w*(w - 1)*(w + 1)*(3*w - 2)
Let w be 56/(-84)*(-2)/(-6)*-1. Factor w*b**4 + 0*b + 0 + 0*b**3 + 0*b**2.
2*b**4/9
Let n be (-1 + 1)*(-4 + 5). What is v in v + n + 1/2*v**2 = 0?
-2, 0
Factor 10/7 + 2/7*k**2 + 12/7*k.
2*(k + 1)*(k + 5)/7
Find d such that -8/5*d**3 + 12/5*d**2 + 2/5 + 2/5*d**4 - 8/5*d = 0.
1
Let n(a) = a**2 + a - 2. Let i be n(-3). Suppose -20*v + 21*v - 3 = 0. Factor 6*w**2 + 8/5*w**i + 26/5*w**v + 2/5 + 14/5*w.
2*(w + 1)**3*(4*w + 1)/5
Let a(o) = -o**5 - o**4 + o**3 + o**2 - 1. Let s(k) = 5*k**5 - 21*k**4 - 4*k**3 + 30*k**2 + 8*k - 2. Let w(i) = 2*a(i) - s(i). Let w(b) = 0. What is b?
-1, -2/7, 0, 2
Let o be (4/(-2))/(55/(-15) - -1). Suppose 0 = 3*w - 5*v - 24, w + 4*v = -7 - 2. Let o*m**w + 0 - 1/4*m + 1/2*m**2 = 0. Calculate m.
-1, 0, 1/3
Let n = 22 + -10. Let -9*g**5 - 4*g**4 + 13 + 16*g**4 + n*g**3 - 7 - 3*g - 18*g**2 = 0. Calculate g.
-1, -2/3, 1
Let t(m) be the first derivative of m**6/3 - 2*m**5/5 + 20. Find w such that t(w) = 0.
0, 1
Let z(i) = 8*i**3 + 12*i**2 + 24*i + 22. Let p(v) = -7*v**3 - 12*v**2 - 24*v - 21. Let l(x) = 6*p(x) + 5*z(x). Determine a, given that l(a) = 0.
-2
Let j = 9 + -10. Suppose -2*i + 3*q = 3*i + 11, -q + 17 = -5*i. Let b(x) = 3*x**2. Let m(s) = -s**2. Let c(v) = i*m(v) + j*b(v). Factor c(o).
o**2
Factor -19*c**4 + 0*c**2 - c + c**3 - 4*c**3 + 3*c**2 + 20*c**4.
c*(c - 1)**3
Let w(y) = y - 16. Let g be w(11). Let z be g*(2 + (-2 - 1)). Factor 4*n**4 + 2*n**3 + 5*n**z - 3*n**5 + 5*n - 5*n.
2*n**3*(n + 1)**2
Let z(n) = n**3 - 9*n**2 + 4*n - 5. Let u(c) = -c**2 - 1. Suppose 5*g + 0*a + 66 = -4*a, -60 = 4*g + 5*a. Let d(p) = g*u(p) + 2*z(p). Let d(f) = 0. Calculate f.
0, 2
Determine v so that -220*v**2 + 222*v**2 - 3 - 7*v**3 + 7*v + 1 = 0.
-1, 2/7, 1
Let 0*l + 3*l - 2*l**2 - 3*l**2 + 2*l**2 = 0. Calculate l.
0, 1
Solve 6/5*k**2 + 8/5 + 12/5*k + 1/5*k**3 = 0 for k.
-2
Factor -5/2*v + 3/2*v**5 + 3*v**2 - 7/2*v**4 + v**3 + 1/2.
(v - 1)**3*(v + 1)*(3*v - 1)/2
Let q(i) be the first derivative of 0*i**3 - 3*i + 3/5*i**5 + 3*i**2 - 3/2*i**4 + 3. Factor q(r).
3*(r - 1)**3*(r + 1)
Let v(h) = h**2 + 18*h - 86. Let f be v(-22). Solve 3/4*d + 0 + 3/4*d**f = 0 for d.
-1, 0
Let p(k) = -k**3 - 8*k**2 - 5*k - 4. Let m(i) = i**3 + 7*i**2 + 4*i + 3. Let c(z) = -6*m(z) - 5*p(z). Determine y, given that c(y) = 0.
-2, -1, 1
Let p = -15 + 18. Let r(j) be the third derivative of 0*j - 1/60*j**5 + 0 + 2*j**2 + 0*j**p + 1/24*j**4. Find o, given that r(o) = 0.
0, 1
Let s(v) be the second derivative of -v**5/70 - v**4/21 - v**3/21 - 12*v. Factor s(l).
-2*l*(l + 1)**2/7
Let m = -53 - -53. Solve 2/5*y**2 - 4/5*y + m = 0.
0, 2
Let q(p) be the third derivative of 0*p**3 + 0*p**5 - 4*p**2 - 1/40*p**6 + 0 + 0*p**4 + 0*p. Factor q(v).
-3*v**3
Let i(o) be the third derivative of -2/3*o**3 + 2*o**2 + 0*o - 1/6*o**4 + 1/60*o**6 - 1/210*o**7 + 1/20*o**5 + 0. Factor i(k).
-(k - 2)**2*(k + 1)**2
Suppose p - 2 + 0 = 0. Let l(h) be the second derivative of -1/5*h**p + 0 + 0*h**3 + 1/30*h**4 + h. What is o in l(o) = 0?
-1, 1
Let b(y) be the second derivative of -y**4/72 - 2*y**3/9 - y**2 - 23*y. Solve b(m) = 0 for m.
-6, -2
Let w(t) = 2*t**2 - 10*t + 2. Let m be w(0). Factor -2/3*z**4 - 6*z**3 + 0 - 18*z**m - 18*z.
-2*z*(z + 3)**3/3
Let d(n) be the third derivative of -n**7/420 + n**6/40 - n**5/120 - n**4/2 - 4*n**3/3 - 30*n**2. Determine m, given that d(m) = 0.
-1, 4
Let h(x) be the second derivative of x**6/180 - x**3/2 - 3*x. Let i(w) be the second derivative of h(w). Factor i(k).
2*k**2
Let w = 5 - 4. Suppose 4*f - w = 7. Factor 0 - 4/5*y + 14/5*y**3 + f*y**2.
2*y*(y + 1)*(7*y - 2)/5
Let y(z) = -28*z**3 + 40*z**2 - 56*z - 4. Let v(o) = o**3 + o**2 + o + 1. Let a(n) = 12*v(n) + y(n). Factor a(g).
-4*(g - 2)*(g - 1)*(4*g - 1)
Factor 0*n**2 + 0 + 0*n**3 + 0*n - 2/5*n**5 + 4/5*n**4.
-2*n**4*(n - 2)/5
Let q = 8/57 + 10/19. Let k(o) be the first derivative of -3 + 0*o + o**2 + q*o**3. Suppose k(n) = 0. What is n?
-1, 0
Suppose c + 1 + 2 = 3*w, 0 = -5*c - 2*w - 100. Let o be (-39)/(-18) + 3/c. Find y such that -4*y**2 + 2*y + o*y**4 - y**4 - 14*y**3 - 5*y**4 - 4*y**4 = 0.
-1, 0, 1/4
Let r = 6 - 4. Let w = -518/3 + 175. Let -16/3*y + 16/3*y**3 - y**r + w*y**4 - 4/3 = 0. What is y?
-2, -1, -2/7, 1
Let i(w) = -4*w**2 - 6*w - 5. Let f be i(6). Let a = 1297/7 + f. Factor 0*h - a*h**4 + 2/7*h**3 - 2/7*h**5 + 2/7*h**2 + 0.
-2*h**2*(h - 1)*(h + 1)**2/7
Factor -6/5*c**2 - 12/5 - 27/5*c + 24/5*c**3 + 3/5*c**5 + 18/5*c**4.
3*(c - 1)*(c + 1)**3*(c + 4)/5
Let a = -84 + 136. Factor 45*u + a*u**2 + 6 + 8*u**4 + 42*u**2 + 19*u**4 + 99*u**3 + 17*u**2.
3*(u + 1)*(u + 2)*(3*u + 1)**2
Let a(u) = -4*u**2 + 2*u + 5. Let r(n) = n**2 - n + 1. Let c(x) = a(x) + r(x). Let l(h) = 1. Let m(q) = -c(q) + 4*l(q). Suppose m(b) = 0. What is b?
-2/3, 1
Suppose -t - 10*b + 5*b = -5, -b = -1. Solve -3/2*r**4 + 3/2*r**2 + 0*r**3 + 0 + t*r = 0.
-1, 0, 1
Let o(j) be the third derivative of j**10/45360 + j**9/22680 - j**8/10080 - j**7/3780 + j**4/8 + 2*j**2. Let k(z) be the second derivative of o(z). Factor k(w).
2*w**2*(w - 1)*(w + 1)**2/3
Let b(a) be the first derivative of 3*a**5/20 - a**4/4 - 2*a**3 + 6*a**2 + 7*a + 1. Let i(j) be the first derivative of b(j). Find w such that i(w) = 0.
-2, 1, 2
Let t(g) be the third derivative of g**8/1344 + g**7/840 - g**6/240 - 24*g**2. Factor t(h).
h**3*(h - 1)*(h + 2)/4
Let t(a) be the first derivative of a**7/420 + a**6/180 - a**5/60 - a**4/12 - a**3/3 + 1. Let g(d) be the third derivative of t(d). Factor g(r).
2*(r - 1)*(r + 1)**2
Factor 3*w - 76*w**3 - 3*w + 47*w**4 - 19*w**4 - 24*w**2.
4*w**2*(w - 3)*(7*w + 2)
Let j be (-4)/6 + 10/(-3). Let u = j + 6. Determine l so that -2*l**u - 4*l**2 - 4 + 5*l**2 + 4*l + 0*l = 0.
2
Let m(x) be the third derivative of 0 + 0*x**3 + 0*x - 1/120*x**4 + 0*x**5 + 1/600*x**6 - 6*x**2. Solve m(l) = 0.
-1, 0, 1
Let y(w) be the second derivative of -w**5/170 + 2*w**4/51 - 5*w**3/51 + 2*w**2/17 - 30*w + 1. Suppose y(z) = 0. Calculate z.
1, 2
Suppose -1/4*i - 1/2*i**2 - 1/4*i**3 + 0 = 0. Calculate i.
-1, 0
Factor q**3 - 3/2*q**4 + 0*q + 0*q**2 + 0.
-q**3*(3*q - 2)/2
Let q(k) be the first derivative of -1/4*k**4 + 1/3*k**3 + 0*k + 0*k**2 - 1/5*k**5 + 1/6*k**6 - 1. Find z such that q(z) = 0.
-1, 0, 1
Determine z so that 8/5*z**3 + 0 + 4/5*z - 2*z**2 - 2/5*z**4 = 0.
0, 1, 2
Let f(w) = 7*w**4 - w**3 - w**2 - 3*w + 3. Let t = -13 - -17. Let n(o) = -3*o**4 + o**2 + 2*o - 2. Let h(s) = t*f(s) + 10*n(s). Factor h(r).
-2*(r - 1)**2*(r + 2)**2
Let w be (4/(-28))/(2/(-7)). Factor -w*f + 0*f**2 + 1/4*f**4 - 1/4 + 1/2*f**3.
(f - 1)*(f + 1)**3/4
Factor 13*l - 23*l + 0*l - 5*l**2.
-5*l*(l + 2)
Let a(x) = 7*x**2 + 4*x - 5. Let g(i) = -3*i**2 - 2*i + 3. Let 