 + 0 + 3/35*w**6 + 8/21*w**4 + g*w**2 + 2*w. Factor i(m).
2*m*(m - 1)*(3*m - 2)**2/7
Let r(g) be the first derivative of -g**5 - 25*g**4/4 + 5*g**3/3 + 25*g**2/2 - 39. Factor r(n).
-5*n*(n - 1)*(n + 1)*(n + 5)
Let t(f) = -18*f**2 - 672*f - 33. Let m(z) = z**2 + 42*z + 2. Let r(l) = 33*m(l) + 2*t(l). Find v such that r(v) = 0.
0, 14
Let s be -6 + 8 - 6/8. Let t = -3/4 + s. Factor 1/4*y**2 - t*y + 1/4.
(y - 1)**2/4
Let b be (-1)/(-2) - (-105)/(-10). Let o be b/(-4) + -2 - 0. Solve 1/2*u - u**2 + o*u**3 + 0 = 0 for u.
0, 1
Let r(p) be the third derivative of -p**6/480 - p**5/40 + 7*p**4/96 - 10*p**2. Factor r(s).
-s*(s - 1)*(s + 7)/4
Let f be (4 + 7 + -14)/(-6). Factor -11/2*y**4 - 23*y**3 - f*y**5 - 81/2*y - 27/2 - 45*y**2.
-(y + 1)**2*(y + 3)**3/2
Let c(b) be the first derivative of b**3/15 + b**2/10 - 2*b/5 + 3. Determine f so that c(f) = 0.
-2, 1
Suppose 0 = -4*p - 5*g + 20, 3*p + 2*g = 11 + 4. Let n(u) be the second derivative of 0*u**3 + 0*u**2 + 2*u + 0 - 1/5*u**p - 1/6*u**4 - 1/15*u**6. Factor n(t).
-2*t**2*(t + 1)**2
Let l(q) be the first derivative of -3/5*q**5 - 6 + 0*q**4 + q**3 + 0*q + 0*q**2. Factor l(a).
-3*a**2*(a - 1)*(a + 1)
What is l in 4*l**3 - 1 - 6*l**4 - 4 + 4*l**2 + 2*l**5 + 7 - 6*l = 0?
-1, 1
Solve -6*d**3 - 6*d**3 + d - 2*d**2 + 13*d**3 = 0 for d.
0, 1
Let c(h) be the third derivative of h**7/525 - h**5/50 - h**4/30 - 7*h**2. Factor c(o).
2*o*(o - 2)*(o + 1)**2/5
Let j(x) = x**5 + x**4 + x**3 + x**2 - 1. Let h(r) = -2*r**5 + r**4 + r**3 - 5*r**2 - 5*r + 1. Suppose -2 = -2*u - 6. Let b(k) = u*h(k) - 6*j(k). Factor b(m).
-2*(m - 1)*(m + 1)**3*(m + 2)
Let t = 97/6 + -275/18. Solve -2/3*k**2 - 2/9*k**4 + 0 - t*k**3 + 0*k = 0 for k.
-3, -1, 0
Let l(u) be the first derivative of u**3/3 - 3*u**2/2 + 2*u - 10. Factor l(p).
(p - 2)*(p - 1)
Let p(h) be the first derivative of 16/3*h + 12*h**3 + 12*h**2 - 2 + 9/2*h**4. Factor p(f).
2*(3*f + 2)**3/3
Let b = 70894/15505 - 2/2215. Let k be 3/(-15) - (-22)/10. Factor -8/7 - b*f - 2*f**k.
-2*(f + 2)*(7*f + 2)/7
Let j(c) be the second derivative of -c**8/560 + c**6/120 - 5*c**3/6 - 9*c. Let a(s) be the second derivative of j(s). Solve a(m) = 0 for m.
-1, 0, 1
Let t(n) be the second derivative of n**4/18 - n**2/3 - 3*n. Solve t(j) = 0.
-1, 1
Let p(m) be the third derivative of m**8/50400 + m**5/15 - 4*m**2. Let l(c) be the third derivative of p(c). Factor l(z).
2*z**2/5
What is l in -l**3 - l**4 - 5*l**5 + 6*l**2 + 4*l**5 + 2*l**3 - 5*l**2 = 0?
-1, 0, 1
Let x = -27 - -32. Find u such that 1/2*u**x - 1/6*u - 2*u**2 + 1/3 - 7/3*u**4 + 11/3*u**3 = 0.
-1/3, 1, 2
Let c be (-2)/6 - (-4)/12. Solve c*t - 2 + 4*t**2 - 6*t**2 + 0*t**2 + 4*t = 0 for t.
1
Let c(i) be the first derivative of -i**4/2 + 14*i**3/3 - 15*i**2 + 18*i - 2. Factor c(z).
-2*(z - 3)**2*(z - 1)
Let w(l) be the first derivative of -l**9/16632 + l**7/2310 - l**5/660 + l**3 + 4. Let x(b) be the third derivative of w(b). What is m in x(m) = 0?
-1, 0, 1
Let x(s) be the third derivative of 4*s**2 + 0*s + 0 + 1/27*s**3 + 1/270*s**6 - 1/54*s**4 - 1/270*s**5. Suppose x(h) = 0. Calculate h.
-1, 1/2, 1
Let c = 12 + -17. Let m be 30/12*(-4)/c. Find p, given that -9 - 6*p + 10 - 3*p**m - 1 = 0.
-2, 0
Let y(t) = -t**2 - 17*t - 13. Let i be y(-17). Let w be (10/(-8))/(i/52). Find v such that 1/2*v**2 - 1/2*v**4 + 0 - 5/4*v**3 + 5/4*v**w + 0*v = 0.
-1, 0, 2/5, 1
Let j(i) be the third derivative of -6*i**2 + 1/40*i**5 + 0*i - 1/448*i**8 + 0 - 1/32*i**6 + 1/70*i**7 + 0*i**4 + 0*i**3. Suppose j(w) = 0. What is w?
0, 1, 2
Suppose -2*h + 2*a = 2, 4*h + 7 = 3*h - 2*a. Let m(b) = -3*b**2 - 3*b + 2. Let y(v) = 2*v**2 + 2*v - 1. Let n(q) = h*m(q) - 4*y(q). Factor n(k).
(k - 1)*(k + 2)
Let y(i) be the second derivative of -i**5/20 - 3*i**4/16 - i**3/4 - i**2/8 - 3*i. Find r, given that y(r) = 0.
-1, -1/4
Let w(l) = -l**2 - 10*l. Let a(d) = -10*d**2 - 110*d. Let z(j) = 6*a(j) - 65*w(j). Find v such that z(v) = 0.
0, 2
Let k(t) be the second derivative of 2*t**7/735 - t**5/140 - t**4/168 + t**2/2 + 7*t. Let m(i) be the first derivative of k(i). Let m(n) = 0. Calculate n.
-1/2, 0, 1
Let n(i) be the first derivative of -2*i**5/15 - 2*i**4/3 - 2*i**3/3 + 4*i**2/3 + 8*i/3 - 4. Solve n(k) = 0.
-2, -1, 1
Let 92/11*o**3 - 70/11*o**5 - 400/11*o - 302/11*o**4 + 56*o**2 + 64/11 = 0. What is o?
-4, -2, 2/7, 2/5, 1
Suppose 2*i - 6 = -3*t, 5*i - 2*t - 15 = -3*t. Let h = 0 + i. Find j, given that 4*j**h - 2*j**3 + j**2 - 5*j**3 + 2*j**3 = 0.
0, 1
Suppose -26 = -3*q + 7. Suppose 3 = -4*y + q. Factor 3*z - 2*z**3 - 2*z + 2*z**y + z - 2.
-2*(z - 1)**2*(z + 1)
Let g(w) be the third derivative of 7*w**5/100 - w**4/8 - w**3/5 - 3*w**2. Factor g(a).
3*(a - 1)*(7*a + 2)/5
Let z(s) = -7*s**5 - 5*s**4 + 13*s**3 - 4*s**2 - 11*s - 1. Let i(y) = 4*y**5 + 3*y**4 - 7*y**3 + 2*y**2 + 6*y + 1. Let n(h) = -5*i(h) - 3*z(h). Factor n(a).
(a - 1)**3*(a + 1)*(a + 2)
Let x be -1*1 - (161/35 - 6). Factor 2/5*n + 2/5*n**4 - 4/5*n**3 + x + 2/5*n**5 - 4/5*n**2.
2*(n - 1)**2*(n + 1)**3/5
Let r = -6 - -8. Factor 4*q**3 - 5*q**3 - 2*q**r + 0*q**2 + q**2.
-q**2*(q + 1)
Suppose -2*q = 5*y - 3*q - 20, 20 = 5*y + 4*q. Let g(v) be the second derivative of 0 - 1/70*v**5 + 0*v**3 + 0*v**y - 1/105*v**6 - 2*v + 0*v**2. Factor g(p).
-2*p**3*(p + 1)/7
Let p(n) be the first derivative of 2*n**3/45 - 2*n**2/15 + 2*n/15 - 15. Factor p(w).
2*(w - 1)**2/15
Let h(k) = k**2 - k - 4. Let s be h(3). Let d = -2 - -5. Factor 2*t**2 + t + 2*t + 2*t**d + s*t**2 - t.
2*t*(t + 1)**2
Let q(j) = 11*j**4 - 6*j**3 - 6*j**2 + 6*j + 6. Let l(b) = -120*b**4 + 65*b**3 + 65*b**2 - 65*b - 65. Let s(x) = -6*l(x) - 65*q(x). Suppose s(h) = 0. What is h?
0
Let u = -687931/9 - -76515. Let x = u + -78. Factor x*w**2 + 0 - 4/9*w.
2*w*(w - 2)/9
Solve 0 + 2/5*w**3 + 8/5*w + 8/5*w**2 = 0.
-2, 0
Suppose q - 5*o + 25 = 2*q, 2*o = -5*q + 10. Suppose -16 = -q*x - 2*x. Factor -1 + 7/2*g**3 - x*g**2 + 11/2*g.
(g - 1)**2*(7*g - 2)/2
Let r(u) be the first derivative of u**4/16 + u**3/4 - u - 7. Factor r(v).
(v - 1)*(v + 2)**2/4
Let g(q) be the first derivative of -q**6/3 + 4*q**5/5 + 7*q**4/2 - 16*q**3/3 - 12*q**2 - 54. Suppose g(l) = 0. What is l?
-2, -1, 0, 2, 3
Let v(d) be the first derivative of d**6/9 - 2*d**5/5 + d**4/3 + 4*d**3/9 - d**2 + 2*d/3 - 4. Let v(y) = 0. What is y?
-1, 1
Let v(y) = -y**4 + 2*y**4 + 7*y - 8*y. Let g(a) = -8*a**4 - 14*a**3 + 36*a**2 - 30*a + 16. Let i(w) = g(w) + 10*v(w). Factor i(s).
2*(s - 2)**3*(s - 1)
Let m be (0 - 0 - (-29)/(-15)) + 2. Let z(u) be the first derivative of -m*u**5 + 0*u**2 + 0*u + 2 + 0*u**4 + 1/9*u**3. Factor z(b).
-b**2*(b - 1)*(b + 1)/3
Let b be (4 + -4)/(2/(-1)). Let r = 3 + b. Let 2/3*a**5 + 0 + 2*a**r + 2/3*a**2 + 2*a**4 + 0*a = 0. What is a?
-1, 0
Factor -12/7*t**3 - 3/7*t**4 - 15/7*t**2 - 6/7*t + 0.
-3*t*(t + 1)**2*(t + 2)/7
Let q(p) be the third derivative of -p**5/48 - 5*p**4/32 + 5*p**2. Factor q(n).
-5*n*(n + 3)/4
Factor -4 + u**2 + 5*u - 17*u - 6*u**3 - u**4 - 13*u**2 - u**2.
-(u + 1)**2*(u + 2)**2
Let f be (-12)/(-8) + (-2)/(-4). Let l be (3 - 4)/(f/(-4)). Factor -2/3*n**l + 2/3*n + 2/3 - 2/3*n**3.
-2*(n - 1)*(n + 1)**2/3
Suppose -23 = 4*u - 3, -2*u - 16 = -j. Factor -d**4 + 4*d**4 - 2*d**2 + 0*d**4 + j*d**3 + 5*d**2.
3*d**2*(d + 1)**2
Let a = -2/5 + 1. Find h, given that -1/5 - a*h - 1/5*h**3 - 3/5*h**2 = 0.
-1
Let y(h) be the second derivative of -h**7/2520 + h**6/360 - h**5/180 + 3*h**3/2 + 8*h. Let g(a) be the second derivative of y(a). Factor g(j).
-j*(j - 2)*(j - 1)/3
Let g be -1 - (2 + 0 + 5). Let v be (-2)/g + 90/24. Suppose 0*o**2 - 1/3 - 2/3*o**3 + 1/3*o**v + 2/3*o = 0. Calculate o.
-1, 1
Suppose -i = 3*i - h - 25, 5*h + 20 = 5*i. Suppose 0 = -8*x + i*x + 2. Suppose -w**2 - 7*w**x + 3*w**3 + 2*w**2 = 0. Calculate w.
0, 2
Let w be ((-4)/(-8))/((-1)/(-8)). Factor -15/4*n - 3/4*n**5 - 15/2*n**2 - 15/4*n**w - 3/4 - 15/2*n**3.
-3*(n + 1)**5/4
Let p(h) be the third derivative of 0 - 3*h**2 + 1/60*h**5 + 0*h + 0*h**3 + 1/8*h**4. Factor p(c).
c*(c + 3)
Suppose -24 = 2*r + 8. Let q = r + 19. Solve k**2 - 1/2*k**5 - k**4 + 0*k**q + 0 + 1/2*k = 0.
-1, 0, 1
Let m(s) = 4*s**5 - 4*s**4 + 4*s**2 - 2. Let v(z) = -13*z**5 + 12*z**4 - 12*z**2 - z + 7. Let o(r) = 7*m(r) + 2*v(r). Factor o(a).
2*a*(a - 1)**3*(a + 1)
Let z(y) be the first derivative of -y**4/2 - 4*y**3/9 + 5*y**2/9 + 4*y/9 + 13