l**4 + 55/3*l + 5/3*l**3 = 0 for l.
-1, 4
Suppose -4*j = -3*j. Let k = 1/2 - j. Factor -1/2 + k*l**2 - 1/2*l + 1/2*l**3.
(l - 1)*(l + 1)**2/2
Let h(i) = -i**2 + 5*i - 2. Suppose -v - 11 = -2*a, -2*a - 3*a + 17 = v. Let r be h(a). Determine s so that 5 - s**r + 0*s**2 - 4 = 0.
-1, 1
Let l(y) be the first derivative of y**6/21 - 4*y**5/7 + 20*y**4/7 - 160*y**3/21 + 80*y**2/7 - 64*y/7 - 9. Factor l(t).
2*(t - 2)**5/7
Determine r so that -24/5*r**2 - 3*r**3 - 12/5*r + 0 - 3/5*r**4 = 0.
-2, -1, 0
Let o be (1 + 5)/(-2) + 8. Let s(u) be the second derivative of -1/15*u**3 + 7/150*u**6 + 0 + 0*u**2 + 3/25*u**o + 2*u + 1/20*u**4. Factor s(g).
g*(g + 1)**2*(7*g - 2)/5
Let z(c) = -c**3 + 4*c. Let n be z(2). Find i such that -2/7*i**3 + 0*i + n + 2/7*i**2 = 0.
0, 1
Let y(g) be the first derivative of -2*g**5/5 + g**4/2 + 2*g**3/3 - g**2 + 5. What is c in y(c) = 0?
-1, 0, 1
Let z(r) = -r**3 - 7*r**2 - 3*r - 17. Let f be z(-7). Factor 1/2*q**5 + 1/2*q**3 + q**f + 0*q**2 + 0 + 0*q.
q**3*(q + 1)**2/2
Let l be (39/26)/((-5)/(-2)). Determine y so that 3/5*y**3 + 0 + l*y + 6/5*y**2 = 0.
-1, 0
Let p be ((-1)/9)/(-9 - 213/(-24)). Factor 4/9*u**2 - 10/9*u**3 + 0*u - 2/9*u**5 + 0 + p*u**4.
-2*u**2*(u - 2)*(u - 1)**2/9
Let k be 1*6*(-17)/(-34). Find n, given that 10/13*n**k + 4/13*n**2 + 0 + 0*n = 0.
-2/5, 0
Let r(o) = -4*o**2 + 2*o + 4. Let m(x) = 21*x**2 - 12*x - 20. Let w(a) = 2*m(a) + 11*r(a). Factor w(j).
-2*(j - 1)*(j + 2)
Let d(g) = g**3 - 6*g**2 + 8*g - 6. Let b be d(5). Suppose 2*m - 3 = 3*k + 4*m, b = 3*k - 2*m. Factor 6*i**4 - 4*i**3 + 3*i - k - 3 - 4*i**2 + 2 - 2*i**5 + 3*i.
-2*(i - 1)**4*(i + 1)
Let g(q) be the second derivative of q**4/120 + q**3/60 - 11*q. Solve g(s) = 0.
-1, 0
Let g(z) be the first derivative of -2*z**6/3 + 8*z**5/5 - 41. Determine j so that g(j) = 0.
0, 2
Let v(m) be the first derivative of 15*m**5 - 54*m**2 - 24*m - 5 + 135/4*m**4 - 26*m**3. Factor v(o).
3*(o - 1)*(o + 2)*(5*o + 2)**2
Let m(y) be the first derivative of -y**6/42 + y**5/35 + y**4/28 - y**3/21 + 9. What is r in m(r) = 0?
-1, 0, 1
Let s(i) = i**2 + 12*i + 15. Let o be s(-11). Let p be (1/3)/((-2)/(-18)). Let 4*l + p*l**2 - l**2 - o - 3*l**2 = 0. What is l?
2
Let b(n) be the first derivative of n**6/24 - n**5/10 - 3*n**4/16 + n**3/3 + n**2/2 - 1. Determine k so that b(k) = 0.
-1, 0, 2
Let w be 3/20 + ((-2)/(-8))/1. Factor -w*p - 4/5 + 2/5*p**2.
2*(p - 2)*(p + 1)/5
Let v = 12 + 6. Let r = v + -33/2. Let -2*i**3 + 1/2*i - 1 - 2*i**4 + 3*i**2 + r*i**5 = 0. Calculate i.
-1, -2/3, 1
Let f(x) be the first derivative of -4*x**5/5 - 5*x**4 - 4*x**3 + 18*x**2 - 15. Let f(c) = 0. Calculate c.
-3, 0, 1
Suppose 0 = x - 2*z - 5, 0 = -x - 5*z - 4 + 2. Let -1/2*w**4 + 1/2*w**2 + 0*w - 1/2*w**5 + 1/2*w**x + 0 = 0. Calculate w.
-1, 0, 1
Factor 13 - 13 + 3*w**3 + 3*w**4 - 6*w**2.
3*w**2*(w - 1)*(w + 2)
Factor o - 5*o**3 - 2*o - 3*o + 9*o**3.
4*o*(o - 1)*(o + 1)
Let b(i) be the first derivative of 0*i**6 - 3*i + 0*i**5 - 4 + 0*i**3 + 1/14*i**7 + 0*i**4 + 0*i**2. Let n(g) be the first derivative of b(g). Factor n(v).
3*v**5
Let t(y) be the second derivative of y**7/147 + y**6/105 - y**5/35 - y**4/21 + y**3/21 + y**2/7 - 18*y. Let t(c) = 0. What is c?
-1, 1
Suppose 5*c + 2*z - 2 = 0, 0 = -c + 2*z - z + 6. Factor 1/5*s + 4/5*s**c + 0.
s*(4*s + 1)/5
Factor -6/5 + 12/5*n**2 - 21/5*n.
3*(n - 2)*(4*n + 1)/5
Let f(j) be the first derivative of -3*j**5/10 + j**4/4 + j**3/2 - j**2/2 + 3. Let f(x) = 0. What is x?
-1, 0, 2/3, 1
Let j be (-16)/65 + 10*(-7)/(-175). Solve 2/13*l**2 - 4/13*l + j*l**3 + 0 = 0 for l.
-2, 0, 1
Let l(o) be the third derivative of o**6/30 - 2*o**5/15 - 9*o**2. What is j in l(j) = 0?
0, 2
Let k(o) be the first derivative of -4*o**6/57 + 2*o**5/19 + 15*o**4/38 - 40*o**3/57 + 4*o**2/19 - 15. Determine v, given that k(v) = 0.
-2, 0, 1/4, 1, 2
Factor 0*t**2 + 125*t**4 - 48*t**5 + 0*t**2 - 5*t**4 + 6*t**2 - 51*t**3.
-3*t**2*(t - 2)*(4*t - 1)**2
Suppose -2*f - 5*y = 2, 4*f - y + 29 = 3. Let i be 8/30*(-9)/f. Suppose -2/5 + 2/5*q + i*q**2 - 2/5*q**3 = 0. Calculate q.
-1, 1
Let o = 551/2 - 275. Factor 1/2*l**4 + 0*l - 1/2*l**2 - o*l**5 + 1/2*l**3 + 0.
-l**2*(l - 1)**2*(l + 1)/2
Suppose 5*s + 40 = -40. Let m be (6/s)/(33/(-22)). Factor 0*g + 0 + m*g**2.
g**2/4
Let z be 6 - 0 - (-6)/(-2). Factor -8/9*x + 14*x**z + 8/9*x**2 + 0.
2*x*(7*x + 2)*(9*x - 2)/9
Determine r, given that 5/2*r**2 - 5/4*r**3 - 5/2 + 5/4*r = 0.
-1, 1, 2
Let w(a) be the third derivative of -a**9/15120 + a**8/1008 - 2*a**7/315 + a**6/45 + 2*a**5/15 + 10*a**2. Let r(m) be the third derivative of w(m). Factor r(k).
-4*(k - 2)**2*(k - 1)
Let o(g) be the third derivative of g**6/24 + 3*g**5/4 + 25*g**4/8 - 125*g**3/6 - 28*g**2. Factor o(l).
5*(l - 1)*(l + 5)**2
Let n(g) be the second derivative of -g**5/30 + g**4/12 + g**2 - 5*g. Let r(y) be the first derivative of n(y). Solve r(o) = 0 for o.
0, 1
Let y(q) be the first derivative of -3*q**4/4 + 4*q**3 - 6*q**2 + 1. Find n such that y(n) = 0.
0, 2
Let q(u) be the third derivative of u**7/70 - 3*u**6/40 - 9*u**5/20 - 5*u**4/8 + 34*u**2 + 2. Solve q(x) = 0 for x.
-1, 0, 5
Suppose 5*k = 4*k. Let l(j) be the first derivative of -3 - 2/21*j**3 + k*j + 1/7*j**2. Suppose l(b) = 0. Calculate b.
0, 1
Let q(c) = c**3 - c + 1. Let b be 1/(-2) - 5/(-2). Let t(h) = -20*h + 40 - 8*h**3 - 21 - 21 - 24*h**2. Let k(p) = b*q(p) - t(p). Factor k(d).
2*(d + 1)**2*(5*d + 2)
Let i(q) be the first derivative of 2*q**6/3 - 12*q**5/5 + 2*q**4 - 21. Solve i(f) = 0.
0, 1, 2
Let 10/3*k**2 + 4/3*k - 2*k**4 - 8/3*k**3 + 0 = 0. Calculate k.
-2, -1/3, 0, 1
What is o in -60/7*o + 16/7*o**2 - 16/7 = 0?
-1/4, 4
Let a = 3699/4 + -924. Factor -1/4 - 1/4*w**3 - 3/4*w**2 - a*w.
-(w + 1)**3/4
Let p(z) be the third derivative of z**7/735 + z**6/70 + 13*z**5/210 + z**4/7 + 4*z**3/21 + 2*z**2. What is k in p(k) = 0?
-2, -1
Let a(f) = -f**2 - 4*f - 3. Let l = 6 + -3. Let y(x) = -x - 4*x + l*x - 2. Let o(k) = 2*a(k) - 5*y(k). Factor o(p).
-2*(p - 2)*(p + 1)
Suppose -2/3*k**3 - 4/3 + 2*k + 0*k**2 = 0. What is k?
-2, 1
Let t be (-4)/8 + 63/30. What is k in -2/5*k**2 - 8/5 - t*k = 0?
-2
Suppose 361 = 2*d + 355. What is i in 1/2*i**5 + 0*i + 3*i**4 + 0 + 9/2*i**d + 0*i**2 = 0?
-3, 0
Suppose 4/7*m + 0 + 2/7*m**3 + 6/7*m**2 = 0. What is m?
-2, -1, 0
Let h(z) be the first derivative of 3*z**4/4 + 7*z**3 + 33*z**2/2 + 15*z - 31. Factor h(s).
3*(s + 1)**2*(s + 5)
Let v(w) be the second derivative of -w**9/504 + w**8/168 - w**7/210 - w**3/3 + 2*w. Let z(j) be the second derivative of v(j). Suppose z(k) = 0. What is k?
0, 2/3, 1
Let u(t) be the third derivative of -t**7/21 - 7*t**6/60 - t**5/15 - 6*t**2. Factor u(s).
-2*s**2*(s + 1)*(5*s + 2)
Let m(z) be the first derivative of 0*z**2 + 4/3*z**3 - 2/3*z**6 + 0*z - 4/5*z**5 + z**4 + 2. Factor m(d).
-4*d**2*(d - 1)*(d + 1)**2
Let r(h) be the first derivative of -4*h**4 - 2/5*h**5 - 16*h**3 - 32*h**2 + 3 - 32*h. Factor r(c).
-2*(c + 2)**4
Let q be 936/1365 - (-2)/(-5). Factor 4/7*h**2 - 2/7*h**4 - 2/7 + 2/7*h**5 - 4/7*h**3 + q*h.
2*(h - 1)**3*(h + 1)**2/7
Let s be (10/35)/((-3)/(-21)). Suppose -2/5 - 14/5*y**s - 9/5*y - 2/5*y**4 - 9/5*y**3 = 0. What is y?
-2, -1, -1/2
Suppose -3/8*n**2 - 3/8*n + 0 = 0. Calculate n.
-1, 0
Suppose -39*z + 40*z = 2. Let 2/3*d**z + 0 + 2*d**4 + 2/3*d**5 + 2*d**3 + 0*d = 0. What is d?
-1, 0
Let g(t) be the first derivative of -2/45*t**5 - 1 - 2*t - 1/9*t**2 + 7/54*t**4 - 2/27*t**3. Let z(r) be the first derivative of g(r). Solve z(a) = 0 for a.
-1/4, 1
Let c be 1/((-3)/(-6)) - (-21)/(-15). Factor 0 + 1/5*m**5 - c*m**3 - 2/5*m - 1/5*m**4 + m**2.
m*(m - 1)**3*(m + 2)/5
Let c be 54/70 + 20/(-35). Let q(k) be the first derivative of 2 + 2/5*k - c*k**2 - 4/15*k**3. Solve q(j) = 0 for j.
-1, 1/2
Let n = -3 - -11. What is k in -3 + 3*k**3 - 4*k**2 - 3*k + n*k**2 - k**2 = 0?
-1, 1
Let n(f) be the first derivative of -4*f**5/25 - 3*f**4/5 - 4*f**3/15 + 6*f**2/5 + 8*f/5 - 6. Let n(j) = 0. What is j?
-2, -1, 1
Suppose -2*q = 6 + 4. Let m be 4/(-6) - (q + 3). Suppose 2/3*a**3 - 4/3*a**2 + m - 2/3*a = 0. What is a?
-1, 1, 2
Suppose -4*w - 24 = -32. Let f(v) be the first derivative of 2/5*v**5 + 0*v - 1/2*v**4 + 1 + v**w - 2/3*v**3. Factor f(x).
2*x*(x - 1)**2*(x + 1)
Let o = -2 - -5. Let i(p) = 24*p**2 + 20*p + 10. Let x(c) = -5*c**2 - 4*c - 2. Suppose 0 = -f 