m - 1 - 5*m + 5*m. Let j be s(-1). Suppose -4/7*i**2 - 8/7*i**4 + 2*i**3 + j - 2/7*i = 0. What is i?
-1/4, 0, 1
Let o be 0/1 - (-1 - 1). Let r(v) be the third derivative of 0 - 1/240*v**6 - 1/40*v**5 - 1/16*v**4 - 2*v**o + 0*v - 1/12*v**3. Let r(m) = 0. What is m?
-1
Factor 0*y + 0*y**2 + 0 - 3/5*y**3 + 4/5*y**4 - 1/5*y**5.
-y**3*(y - 3)*(y - 1)/5
Let u(j) be the second derivative of -j**7/7560 + j**6/1080 + j**4/12 + j. Let x(b) be the third derivative of u(b). Factor x(w).
-w*(w - 2)/3
Let v(t) be the second derivative of 5*t**7/21 + 19*t**6/45 + t**5/18 - t**4/6 - 2*t**3/27 - 19*t. Find u, given that v(u) = 0.
-1, -1/3, 0, 2/5
Suppose -4*o + 2*m + 19 = 5, 5*o = 3*m + 18. Factor -12*s + 5*s**2 - o*s**2 - 12 - 7*s**2 + 2*s**2.
-3*(s + 2)**2
Let u(a) = -a**2 - a. Suppose 3*h = -1 + 7. Let j(n) = -3*n**2 - 5*n - 2. Let g(c) = h*u(c) - j(c). Factor g(z).
(z + 1)*(z + 2)
Suppose 0*c - 8/7*c**2 + 0 + 2/7*c**3 + 8/7*c**4 - 2/7*c**5 = 0. Calculate c.
-1, 0, 1, 4
Let v(b) = b + 1. Let z be v(1). Factor -3*n**3 + 5*n**3 - n**2 + 0*n**z - n**4.
-n**2*(n - 1)**2
Let q(o) = -o**2 + 9*o + 12. Let l be q(10). Suppose -2*m**3 + 2*m**5 + 3*m**4 + 11 - l*m**2 + 0*m**3 - 10 - 2*m**2 = 0. What is m?
-1, 1/2, 1
Let 8*l**2 + l**3 - 3*l - 16*l**2 + 10*l**2 = 0. What is l?
-3, 0, 1
Suppose 0*l - l = 4*l. Let f(g) be the third derivative of l + 1/210*g**7 - 1/30*g**6 + 0*g + 1/15*g**5 + g**2 + 0*g**3 + 0*g**4. Suppose f(j) = 0. Calculate j.
0, 2
Let i(x) = -6*x**3 - 9*x**2 - 3*x - 3. Let q(c) = c**4 + c**3 - 1. Let g(w) = -i(w) + 3*q(w). Factor g(k).
3*k*(k + 1)**3
Let y(p) be the first derivative of -p**7/70 + p**6/40 + 3*p**2 - 6. Let t(h) be the second derivative of y(h). Factor t(d).
-3*d**3*(d - 1)
Suppose 0 = 5*t - 10*t. Let g(p) be the first derivative of 0*p**2 + 0*p**4 - 2/25*p**5 + 0*p + 4/15*p**6 - 1 + t*p**3. Factor g(x).
2*x**4*(4*x - 1)/5
Let j(x) = 2*x + 50. Let a be j(-24). Let s(q) be the first derivative of -2/27*q**3 + 3 + 0*q**a + 0*q. Let s(p) = 0. What is p?
0
Suppose 5*b = 4*j + 12, -3*b - 2 = -5*j - b. Let -t + j*t**2 - t**3 - 3*t**2 + t**4 + 2*t**3 + 0*t**4 = 0. What is t?
-1, 0, 1
Let w(j) = -8*j**3 + 9*j + 11. Let q(y) = -9*y**3 + 9*y + 2 + 2 + 8. Let t(n) = 5*q(n) - 6*w(n). Factor t(x).
3*(x - 2)*(x + 1)**2
Let x(s) be the first derivative of 6 + 5/12*s**3 + 1/4*s + 3/4*s**2. Factor x(m).
(m + 1)*(5*m + 1)/4
Let p(c) be the second derivative of -1/42*c**7 + 2*c - 1/6*c**3 - 1/3*c**4 - 2/15*c**6 + 0*c**2 + 0 - 3/10*c**5. Let p(m) = 0. What is m?
-1, 0
Let c(f) = 11*f**2 + 8*f. Let m(y) = -28*y - 2*y - 27*y - 12*y**2 - 66*y**2. Let a(s) = 15*c(s) + 2*m(s). Solve a(k) = 0.
-2/3, 0
Let l(q) be the first derivative of 2*q**6/3 - 12*q**5/5 + 3*q**4 - 4*q**3/3 + 6. Factor l(j).
4*j**2*(j - 1)**3
Let q(p) be the first derivative of -28*p**3/3 - 10*p**2 + 8*p - 17. Determine z so that q(z) = 0.
-1, 2/7
Let b be 2 + 1 - (1 + 2). Factor -6*u**4 + b*u**4 + 2*u**3 - 2*u**2 + 4*u**3 + 6*u**5 - 4*u**5.
2*u**2*(u - 1)**3
Let q(g) = 4*g + g**2 - 4*g - 7*g**2 - 2*g. Let o(n) = 7*n**2 + 2*n. Let f(r) = 4*o(r) + 5*q(r). Determine d, given that f(d) = 0.
-1, 0
Factor -8/5*b + 2/5 - 8/5*b**3 + 12/5*b**2 + 2/5*b**4.
2*(b - 1)**4/5
Suppose -3*w**2 - 5*w**2 + 21*w - 26*w - 2*w**2 = 0. What is w?
-1/2, 0
Let j(l) be the third derivative of 1/15*l**5 - 1/60*l**6 + 0 + 0*l + 0*l**3 - 3*l**2 + 0*l**4. Determine h so that j(h) = 0.
0, 2
Let v(o) = -4*o + 4*o + 7*o**2 + o**3 + 2. Let q be v(-7). Factor -3*i**4 - i**4 + q*i**4 + 4*i**3.
-2*i**3*(i - 2)
Let m = -7 + 9. Solve 0*i - 2*i - 2*i - 6*i**m = 0.
-2/3, 0
Determine f, given that -12*f**5 + 96 - 20*f**2 + 20*f**4 - 96 + 8*f + 4*f**3 = 0.
-1, 0, 2/3, 1
Let t(b) = -3*b**3 + 11*b**2 - b + 5. Let n(j) = 2*j**2 + j - 3 - 2*j**2 - 3*j**2 - 3*j**2 + 2*j**3. Let g(a) = -5*n(a) - 3*t(a). What is r in g(r) = 0?
-2, -1, 0
Let w(v) be the second derivative of -v**4/60 + v**3/10 + 52*v. Factor w(o).
-o*(o - 3)/5
Let p(h) = h + 15. Let a be p(-12). Factor -3*w**2 - a*w**4 + 8*w**5 + 6*w**2 - 5*w**5 - 3*w**3.
3*w**2*(w - 1)**2*(w + 1)
Let p(s) be the second derivative of -1/9*s**7 + 0*s**3 + 0*s**4 + 0 + 0*s**2 + 4*s - 1/15*s**5 + 1/5*s**6. Factor p(t).
-2*t**3*(t - 1)*(7*t - 2)/3
Let x(o) be the first derivative of 64*o**5/5 - 8*o**4 + 4*o**3/3 + 16. Factor x(s).
4*s**2*(4*s - 1)**2
Let d(p) = -p**3 - 5*p**2. Let q be d(-5). Factor q - 1/2*h + 1/2*h**2.
h*(h - 1)/2
Let a = -2365/12 + 507/4. Let b = a - -71. Determine k, given that -2/3*k + b*k**3 + 0*k**2 + 0 = 0.
-1, 0, 1
Let f be 24*8/64 + (-25)/9. Factor -f*y**2 + 0 - 2/9*y.
-2*y*(y + 1)/9
Let i(r) be the first derivative of -r**5 - 8. Let i(g) = 0. What is g?
0
Let v = 10/91 + 61/273. Suppose -v*n + 4/3*n**4 + 0 + 4/3*n**2 - 2*n**3 - 1/3*n**5 = 0. What is n?
0, 1
Let a = -9 + 16. Let v = 9 - a. Factor -2/9*w**5 + 2/3*w**4 - 2/3*w**3 + 0*w + 0 + 2/9*w**v.
-2*w**2*(w - 1)**3/9
Factor -81*s - 3/4*s**3 + 27/2*s**2 + 162.
-3*(s - 6)**3/4
Let a be 0/(2 + -1) - 0/6. Let w(f) be the third derivative of 0*f - 1/36*f**4 - 1/90*f**5 + a + 2*f**2 + 2/9*f**3. Factor w(z).
-2*(z - 1)*(z + 2)/3
Let i be 4/14 + (-6)/21. Let b(s) be the second derivative of -1/12*s**3 + 0 + 1/12*s**4 - 1/40*s**5 + i*s**2 + s. Factor b(n).
-n*(n - 1)**2/2
Let q be -1 + 4 + (-2 - -1). Factor 3/5 + q*g + 7/5*g**2.
(g + 1)*(7*g + 3)/5
Let k(c) = 18*c**2 + c - 1. Let g be k(1). Factor 14*z**3 - g*z**2 - 4 + 1 - 2*z**3 + 12*z + 0*z**4 - 3*z**4.
-3*(z - 1)**4
Let s(x) be the second derivative of -x**6/15 + x**5/5 - x**4/6 - 30*x. Factor s(l).
-2*l**2*(l - 1)**2
Let g(t) = -8*t**3 - 8*t**2 - 2*t - 2. Let r(i) = -7*i**3 - 3*i + 2 - 9*i**2 - 5 - 2*i**3. Let x(b) = 6*g(b) - 5*r(b). Let x(q) = 0. What is q?
-1, 1
Let g(k) be the first derivative of 2/7*k + 32/35*k**5 - 20/7*k**4 - 10/7*k**2 + 1 + 22/7*k**3. Find i such that g(i) = 0.
1/4, 1
Let r be (-60)/(-63) + (-10)/35. Let c(p) be the first derivative of -2 + 1/3*p**2 - 2/9*p**3 - 1/6*p**4 + r*p. Let c(b) = 0. Calculate b.
-1, 1
Find o, given that 0 + o**3 - 1/7*o**4 - 15/7*o**2 + 9/7*o = 0.
0, 1, 3
Suppose -m - m = -10. Let y(i) be the first derivative of -m*i**3 + 4*i**3 + i + 3 + 2*i. Determine h so that y(h) = 0.
-1, 1
Let s(y) = -4*y**3 + 2*y**2 + 4*y - 2. Let r(t) = -t**4 - 19*t**3 + 10*t**2 + 19*t - 9. Let x(h) = -2*r(h) + 11*s(h). Let x(m) = 0. What is m?
-1, 1, 2
Let w(t) be the third derivative of -13*t**7/84 + 11*t**6/48 + 5*t**5/8 - 55*t**4/48 - 5*t**3/6 + 9*t**2. Find z, given that w(z) = 0.
-1, -2/13, 1
Suppose 4*g - 8 = -4*i, 5*i - 6 = -3*g + 4*i. Let s(r) be the second derivative of r + 1/24*r**4 + 1/6*r**3 + 1/4*r**g + 0. Let s(z) = 0. Calculate z.
-1
Let r be ((-36)/15)/2*-5. Let f be (-23)/(-7) - r/2. Factor 0 + 0*b**3 - f*b**4 + 2/7*b**2 + 0*b.
-2*b**2*(b - 1)*(b + 1)/7
Let x(o) = -o**4 - o**3 + o**2 + 1. Let z(h) = -16*h**4 - 14*h**3 + 20*h**2 + 18. Let a(k) = 36*x(k) - 2*z(k). Suppose a(y) = 0. Calculate y.
-1, 0
Let l(b) be the third derivative of b**5/240 - b**4/32 + b**3/12 - 52*b**2. Find o, given that l(o) = 0.
1, 2
Suppose 2*l**3 - 8*l**3 + 45*l**4 - 6*l**2 - 2*l**3 - 47*l**4 = 0. What is l?
-3, -1, 0
Let a(r) be the third derivative of 0*r + 1/10*r**3 + 1/200*r**6 - 1/100*r**5 + 0 - 1/40*r**4 - 2*r**2. Factor a(p).
3*(p - 1)**2*(p + 1)/5
Let 3/7*m**2 - 1/7*m**3 + 0 - 2/7*m = 0. Calculate m.
0, 1, 2
Let k = 294 + -294. Let o be 4/(-18) + (-17)/(-36). Factor k + o*w + 1/4*w**3 - 1/2*w**2.
w*(w - 1)**2/4
Suppose 0 = 4*i - 14 - 10. Let n = 0 - -6. Factor 5*x**2 - 2*x - i*x**3 + 4*x**2 + 3*x**2 - n*x**2 + 2*x**4.
2*x*(x - 1)**3
Factor 343*k + 312*k**2 + 196 + 64*k**3 - 134*k + 4*k**4 + 341*k - 102*k.
4*(k + 1)**2*(k + 7)**2
Let t = -9 + 9. Suppose t*p + p - 2 = 0. Let 1/4*h - 1/4*h**p + 1/2 = 0. Calculate h.
-1, 2
Let q(o) be the third derivative of o**7/105 - o**6/15 + 2*o**5/15 + 13*o**2. Let q(c) = 0. Calculate c.
0, 2
Let g(v) be the second derivative of -v**5/4 + 5*v**4/4 - 5*v**3/3 - 2*v - 3. Factor g(r).
-5*r*(r - 2)*(r - 1)
Let u(n) be the third derivative of n**7/420 - n**5/40 - n**4/24 - 18*n**2. Let u(p) = 0. What is p?
-1, 0, 2
Suppose 0 = -0*r - 2*r + 7*r. Solve 4/5*d**4 + d**3 + 0*d + 1/5*d**2 + r = 0.
-1, -1/4, 0
Let n(b) be the first derivative of b**6/150 - b**4/60 - 3*b - 5. Let w(u) be the first derivative of n(u). Det