+ 3)**2
Let q(n) be the first derivative of 2*n**5/5 - n**4/2 - 2*n**3/3 + n**2 - 33. Factor q(y).
2*y*(y - 1)**2*(y + 1)
Let l be ((-12)/(-8))/((-9)/(-12)). Solve -4/13*u - 2/13 + 0*u**l + 4/13*u**3 + 2/13*u**4 = 0 for u.
-1, 1
Factor -3*i**3 - 20*i**2 - 12*i**3 - i**3 - 2*i - 2*i.
-4*i*(i + 1)*(4*i + 1)
Let w(s) = -5*s**2 + 33*s + 14. Let h be w(7). Determine c, given that -1/3*c + h*c**2 + 0 + 1/3*c**3 = 0.
-1, 0, 1
Suppose -12/7*j**2 + 2/7*j**3 + 16/7*j + 0 = 0. Calculate j.
0, 2, 4
Let q(n) be the second derivative of n**5/80 - n**4/48 - n**3/12 - 4*n. Factor q(b).
b*(b - 2)*(b + 1)/4
Let w(l) be the first derivative of 4*l**3/3 - 4*l + 42. Determine r so that w(r) = 0.
-1, 1
Let y = 60 + -60. Let k(f) be the second derivative of -5/9*f**3 + 4/63*f**7 - 2/3*f**2 + f + 13/18*f**4 - 11/45*f**6 + y + 1/30*f**5. What is g in k(g) = 0?
-1, -1/4, 1, 2
Let y(x) = -x**4 + x**3 + x**2 + 1. Let v(j) = -8*j**4 + 6*j**3 + 10*j**2 + 3*j + 7. Let o(c) = -2*v(c) + 18*y(c). Let o(r) = 0. Calculate r.
-1, 1, 2
Let f(h) = -26*h**2 - 20*h - 6 - 7 - 6 - 7. Let a(g) = 5*g**2 + 4*g + 5. Let x(m) = -16*a(m) - 3*f(m). Find s, given that x(s) = 0.
-1
Let h(i) be the first derivative of 0*i - i**2 + 2 + 2/3*i**3. Find b such that h(b) = 0.
0, 1
Let t(p) = 3*p**3 - 14*p**2 - 25*p - 23. Let q(a) = 2*a**3 - 7*a**2 - 12*a - 12. Let s(o) = -5*q(o) + 3*t(o). Factor s(m).
-(m + 1)*(m + 3)**2
Let g be 2/4*(35 + 5). Let n be (-15)/g*(-1)/3. Factor n*j**4 + 1/4*j**3 + 0 - 1/4*j - 1/4*j**2.
j*(j - 1)*(j + 1)**2/4
Let y(h) = 206*h**3 - 263*h**2 + 63*h - 2. Let r(c) = 413*c**3 - 526*c**2 + 127*c - 4. Let b(p) = 4*r(p) - 10*y(p). Solve b(d) = 0 for d.
2/51, 1/4, 1
Let s(t) = 4*t**3 - 6*t**2 - 4*t + 6. Let r(w) = -4*w**3 + 7*w**2 + 4*w - 7. Let j(q) = 2*r(q) + 3*s(q). Find f such that j(f) = 0.
-1, 1
Let d(f) = -5*f**4 - 30*f**3 + 20*f - 5. Let n(x) = -5*x**4 - 31*x**3 - x**2 + 19*x - 6. Let c(z) = -6*d(z) + 5*n(z). Solve c(g) = 0 for g.
-5, -1, 0, 1
Let h(p) be the first derivative of p**8/4200 - p**6/450 + p**4/60 + 2*p**3/3 - 2. Let x(q) be the third derivative of h(q). What is j in x(j) = 0?
-1, 1
Let g = 249 - 1739/7. Let 2/7*z + g*z**2 + 2/7*z**3 + 0 = 0. What is z?
-1, 0
Suppose 1 = 2*z - z. Let y(w) = 3*w**3 + 2*w**2 - w. Let s be y(z). Factor -1 + s*v**3 + v - v**2 - 5*v**3 + 2*v**2.
-(v - 1)**2*(v + 1)
Let b = -3 - -9. Let l(h) = -4*h**4 - h**3 - 3*h**2 - 2*h - 2. Let m(q) = -3*q**4 - 2*q**2 - 2*q - 1. Let y(i) = b*m(i) - 4*l(i). Determine d so that y(d) = 0.
-1, 1
Factor 8*p + 6*p**2 + p + 2*p**4 + 3*p - 10*p + 6*p**3.
2*p*(p + 1)**3
Suppose 4*z + 2*m = -0*z, -3*m = 0. Solve z + 7/2*d**3 + d**2 + 0*d = 0.
-2/7, 0
Solve -2*a**4 - 5/2*a**3 + 0 - a**2 + 0*a - 1/2*a**5 = 0.
-2, -1, 0
Let w(a) be the third derivative of -a**6/24 + a**5/4 - 5*a**4/8 + 5*a**3/6 + 2*a**2. Factor w(j).
-5*(j - 1)**3
Let g = 17 + -11. Find w, given that 2*w**4 + 4*w**2 + w**3 - g*w**2 + w**3 + 0*w**4 - 2*w**5 = 0.
-1, 0, 1
Let h(v) = -5*v**2 - 6*v + 3 - v**4 - 2 + 3*v**3 - 7*v. Let n(t) = -2*t**4 - 1 + 7*t + 3*t**2 - 3*t**4 - t**3 + 6*t**4. Let r(a) = 3*h(a) + 5*n(a). Factor r(c).
2*(c - 1)*(c + 1)**3
Suppose -9*t = -3*t - 12. Suppose 0*g + t*g + 5*g**2 + 4*g**2 - 4*g**2 = 0. Calculate g.
-2/5, 0
Suppose 4*r - 26 = 94. Let w = 92/3 - r. Find j, given that 2/9*j**4 + 2/3*j**2 + 0 - 2/9*j - w*j**3 = 0.
0, 1
Let o(z) = -z**2 - 8*z + 8. Let v = 19 - 33. Let s(g) = -4*g**2 - 40*g + 40. Let u(q) = v*o(q) + 3*s(q). Solve u(h) = 0 for h.
2
Let t(q) = q**3 + q**2 + 9*q + 5. Suppose 3*l + 5*c = 4*l - 1, 0 = 5*c. Let i(u) = u**2 + u + 1. Let f(k) = l*t(k) - 5*i(k). Solve f(s) = 0.
0, 2
Let g(n) = 2*n**2 - 5*n + 2. Let r be g(3). Suppose i - 5*k + 3 = -4, 0 = r*i - 3*k - 9. Let 0*h + 2/3*h**4 - h**i + 1/3*h**2 + 0 = 0. What is h?
0, 1/2, 1
Factor -72*o**2 + 0*o + o + 73*o**2.
o*(o + 1)
Factor 8*z**2 - 2*z**3 - 3*z + z - 6*z.
-2*z*(z - 2)**2
Suppose 2/7*r**2 + 0*r - 2/7 = 0. Calculate r.
-1, 1
Let u be (349 + -348)*(1*-1 + 1). Factor u - 2/7*c**2 - 6/7*c**4 - 2/7*c**5 + 0*c - 6/7*c**3.
-2*c**2*(c + 1)**3/7
Let q = -5538 - -448544/81. Let y = q + 3139/81. Determine o so that 4/3 - y*o**4 - 20/3*o + 50/3*o**5 + 68/3*o**3 + 13/3*o**2 = 0.
-1/2, 2/5, 1
Let v = -2 + 5. Suppose 50 - 10 = 5*o. Factor -5 - v + o*w + 3*w**2 - 5*w**2.
-2*(w - 2)**2
Let t(a) = -a**3 + 3*a**2 + 2*a - 4. Let u be t(3). Let m be -4 + u/((-8)/(-18)). Determine s so that m*s**2 + 13/4*s**4 + 0*s + 0 - s**5 - 11/4*s**3 = 0.
0, 1/4, 1, 2
Let x(t) = -3 + 0*t - t - 2 + 6*t**3. Suppose m - 5*m = -20. Let p(q) = 7*q**3 - q - 6. Let g(i) = m*p(i) - 6*x(i). Factor g(z).
-z*(z - 1)*(z + 1)
Let g(n) be the second derivative of -2*n**5/35 + 5*n**4/42 - n**3/21 + 6*n. Factor g(u).
-2*u*(u - 1)*(4*u - 1)/7
Suppose -3*r - 6 + 3 = 0. Let u be (2/(-16))/(r/2). Factor 1/4*p**5 + 0*p**4 + 0 - 1/2*p**3 + u*p + 0*p**2.
p*(p - 1)**2*(p + 1)**2/4
Let f(v) be the third derivative of 0*v - 1/180*v**6 + 0*v**3 + 1/504*v**8 - 1/90*v**5 + 0 - v**2 + 1/315*v**7 + 0*v**4. Find k, given that f(k) = 0.
-1, 0, 1
Let x(m) be the second derivative of 0 - m**2 - 2*m + 2/3*m**3 - 1/6*m**4. Factor x(y).
-2*(y - 1)**2
Let v(g) = g**2 - 4*g - 2. Let w(q) = 4*q**2 - 19*q - 11. Let c(i) = 11*v(i) - 2*w(i). Factor c(r).
3*r*(r - 2)
Let q(n) = -8*n - 3. Let k be q(2). Let w = 32 + k. Determine d so that -123/4*d**3 + 2 + 61/2*d**2 + 45/4*d**4 - w*d = 0.
2/5, 2/3, 1
Let j(y) = y**3 + y**2 + y. Let z(g) = -2*g**3 - 5*g**2 - 5*g. Let f(t) = j(t) + z(t). Determine h, given that f(h) = 0.
-2, 0
Factor 7*p + 4*p**2 + 2*p - 2*p**2 - 7*p.
2*p*(p + 1)
Let l be 3/(-2) + (-315)/(-150). Factor -1/5 - l*y**2 - 1/5*y**3 - 3/5*y.
-(y + 1)**3/5
Let l(k) be the third derivative of -3*k**2 + 3/20*k**5 + 0*k + 5/24*k**4 + 0 - 1/3*k**3 - 1/24*k**6 - 1/30*k**7. Factor l(i).
-(i - 1)*(i + 1)**2*(7*i - 2)
Let n(a) = -31*a**5 + 36*a**4 - 11*a**3 - 3*a**2 + 3. Let h(k) = 32*k**5 - 36*k**4 + 12*k**3 + 4*k**2 - 4. Let g(d) = 3*h(d) + 4*n(d). Factor g(s).
-4*s**3*(s - 1)*(7*s - 2)
Let o(y) = -6*y**5 - 17*y**4 + 7*y**2 + 6*y + 5. Let g(d) = 15*d**5 + 42*d**4 - 18*d**2 - 15*d - 12. Let p(c) = 5*g(c) + 12*o(c). Factor p(a).
3*a*(a - 1)*(a + 1)**3
Factor -4 - 24*i + 0*i**4 + 34*i - 6*i**2 - 2*i**3 + 2*i**4.
2*(i - 1)**3*(i + 2)
Let n(l) be the third derivative of -l**6/120 + l**5/15 - 19*l**2. Solve n(c) = 0.
0, 4
Let g be -3 + 9 - 3 - 1. Factor 0 - 1/3*h + 0*h**g + 2/3*h**4 + h**3.
h*(h + 1)**2*(2*h - 1)/3
Let m(z) be the second derivative of z**10/45360 - z**8/5040 + z**6/1080 + 2*z**4/3 + 3*z. Let b(k) be the third derivative of m(k). Factor b(t).
2*t*(t - 1)**2*(t + 1)**2/3
Let m = 16 - 16. Suppose m = 3*v - 3 - 6. Determine a so that -a**2 - 1/3 + a + 1/3*a**v = 0.
1
Let o(g) be the second derivative of -g**4/60 + g**3/6 - 2*g**2/5 + 4*g. Suppose o(y) = 0. What is y?
1, 4
Let x(j) be the second derivative of j**3 + 0*j**2 + 3*j - 1/4*j**4 + 0. Factor x(m).
-3*m*(m - 2)
Let x = -1 + 0. Let d be (-3 - x)/(-1 + 0). Let w**2 - d - 2*w + w + 0*w**2 = 0. What is w?
-1, 2
Suppose b + 0*b = 8. Suppose -4*q = -b, -3*m + 4*q = 2*q - 8. Factor 0*j**2 + 1 - 2*j**2 + 0*j**2 + j**m.
(j - 1)**2*(j + 1)**2
Let i(m) be the first derivative of -2/27*m**3 + 1 + 1/9*m**2 + 0*m. Determine w, given that i(w) = 0.
0, 1
Let r be ((-6)/(-2) - 4)/(-3). Let u(z) be the second derivative of -r*z**3 - 2*z + 0 + 2*z**2 - 1/6*z**4. Factor u(p).
-2*(p - 1)*(p + 2)
Let i(r) be the second derivative of 2*r**7/147 - r**6/105 - r**5/10 + r**4/6 + r**3/21 - 2*r**2/7 - 3*r. Let i(t) = 0. Calculate t.
-2, -1/2, 1
Let d = -12/61 - -182/305. Factor -d*t + 0 - 2/5*t**2.
-2*t*(t + 1)/5
Let c be 32/130 - (-2)/13. Let j(d) be the first derivative of c*d + 2/15*d**3 + 2/5*d**2 - 1. Solve j(p) = 0.
-1
Let g(u) be the third derivative of -3*u**7/140 - u**6/16 - 7*u**5/120 - u**4/48 + 4*u**2. Determine p, given that g(p) = 0.
-1, -1/3, 0
Factor -15*r**3 + 13*r**3 + 10*r**2 - 12*r - 2*r + 6.
-2*(r - 3)*(r - 1)**2
Let w(x) = -x**2 + 4*x + 1. Let f be w(2). Solve -a**4 - 5/2*a**f + 0 + a**2 + 0*a + 5/2*a**3 = 0.
-1, -2/5, 0, 1
Let o(m) = -m**3 + 9*m**2 + 11*m - 9. Let u be o(10). Let q be (0/3)/(2/u). Factor -1 + i**2 - 2*i + 3*i + 2*i**3 - 3*i**3 + q*i**3.
-(i - 1)**2*(i + 1)
Let n(j) be the third derivative of -j**9/60480 - j**8/20160 + j**7/2520 - j**