l**4 + 0*l**5 + 0. Let g(i) be the second derivative of o(i). Factor g(m).
2*m**2/5
Let g(d) be the first derivative of -1/6*d**3 - d - 3/4*d**2 - 1. Find a, given that g(a) = 0.
-2, -1
Let g(h) be the second derivative of -1/4*h**4 + 0 - 5*h + 0*h**2 - h**3. Factor g(c).
-3*c*(c + 2)
Let g(n) = 5*n**2 + 4*n - 9. Let k(q) = -70*q**2 - 55*q + 125. Let c(w) = -85*g(w) - 6*k(w). Solve c(s) = 0 for s.
-3, 1
Suppose w - 6*w + 2*u = -12, -2*u = 5*w - 8. Factor 1/2 + 7/4*z + 9/4*z**w + 5/4*z**3 + 1/4*z**4.
(z + 1)**3*(z + 2)/4
Suppose -20 + 12*j - 73*j**2 + 4*j**3 - 16 + 93*j**2 = 0. What is j?
-3, 1
Let l(k) be the second derivative of 0 + 2*k + 1/30*k**4 + 1/15*k**3 + 0*k**2. Find u such that l(u) = 0.
-1, 0
Factor -10*k + 5*k**2 - k**2 + 4*k**2 + 4*k - 2*k**3.
-2*k*(k - 3)*(k - 1)
Let a(w) = -w**4 + 1. Let n(c) = -3*c**5 - 7*c**4 + 3*c**3 + 3*c**2 + 4. Let v(l) = 4*a(l) - n(l). Factor v(x).
3*x**2*(x - 1)*(x + 1)**2
Suppose z + 2*z + 55 = 5*u, -2*u + 22 = -4*z. Let m = u + -9. Factor 0*c + 2/9*c**3 + 0*c**m - 2/9*c**4 + 0.
-2*c**3*(c - 1)/9
Factor h - h + 10*h**4 - 25*h**5 + 10*h**5 + 5*h**3.
-5*h**3*(h - 1)*(3*h + 1)
Factor 0 + 3/4*s**3 - 9/4*s**2 + 3/2*s.
3*s*(s - 2)*(s - 1)/4
Factor 4/7 + 16/7*v**2 + 3/7*v**3 + 17/7*v.
(v + 1)*(v + 4)*(3*v + 1)/7
Let v = -14 + 100/7. Let w be (-230)/(-210) + (-1)/(-3). Factor -16/7*t + v*t**2 - 2/7*t**4 + 8/7 + w*t**3 - 2/7*t**5.
-2*(t - 1)**3*(t + 2)**2/7
Suppose 5*t + 3*v = 3, -t + 3*t + 5*v + 14 = 0. Let f(b) be the first derivative of 1/4*b**2 - 2 + 0*b + 1/6*b**t. Factor f(m).
m*(m + 1)/2
Let m(a) = 5*a**2 + 6*a + 1. Suppose -q - 3*p = 8, -q + 3*q + p + 21 = 0. Let v(f) = 9*f**2 + 11*f + 2. Let w(d) = q*m(d) + 6*v(d). Factor w(u).
-(u - 1)*(u + 1)
Let v(r) be the third derivative of r**6/600 - r**4/30 - 13*r**2. Determine h so that v(h) = 0.
-2, 0, 2
Let d(m) = 4*m**2 + 15*m - 5. Let x(t) = 3*t**2 + 15*t - 6. Let j(r) = 6*d(r) - 7*x(r). Factor j(a).
3*(a - 4)*(a - 1)
Factor -3456 - 4*u**5 + 18*u + 4480 - 320*u**2 + 32*u**4 + 238*u - 16*u**3.
-4*(u - 4)**3*(u + 2)**2
Let g be (-142)/5 + 2/5. Let z be (6/(-21))/(4/g). Factor 2/7*s + 4/7*s**z + 0 - 2/7*s**5 - 4/7*s**4 + 0*s**3.
-2*s*(s - 1)*(s + 1)**3/7
Let o(i) be the third derivative of i**5/15 - i**4/3 + 2*i**3/3 - 2*i**2. Factor o(d).
4*(d - 1)**2
Let 3*j**2 + 24*j**3 - j**4 - 24*j**3 - 2*j**4 = 0. What is j?
-1, 0, 1
Suppose 4*a + 5*u = u - 16, 0 = 3*a - 2*u - 8. Let o = a + 3. Let -x**5 - x**4 + x**3 + o*x**4 - 3*x**4 + x**2 = 0. What is x?
-1, 0, 1
Let o = -14 + 15. Suppose -h + 4 - o = 0. Factor -2/5*u**h + 0 + 2/5*u**4 + 0*u**2 + 0*u.
2*u**3*(u - 1)/5
Let m(d) = -2*d**3 - 9*d**2 + 9*d - 10. Let f(r) = 3*r**3 + 9*r**2 - 9*r + 10. Let c(w) = -3*f(w) - 4*m(w). Let i be c(8). Factor 0 - 1/4*g**i + 0*g.
-g**2/4
Let n = 7 + -7. Suppose 4*f - 8 + 0 = n. What is g in 0 + 0*g**f + 1/3*g - 1/3*g**3 = 0?
-1, 0, 1
Let q(g) be the second derivative of g**6/420 + g**5/42 + g**4/12 + g**3/7 - 5*g**2/2 - g. Let r(z) be the first derivative of q(z). Let r(f) = 0. What is f?
-3, -1
Suppose -36 + 36 - p**2 = 0. What is p?
0
Let 2/3*g**2 + 0 + 4/3*g = 0. Calculate g.
-2, 0
Let y be -4*(-3)/(-84)*-4. Let 18/7*b - 2*b**2 - y = 0. What is b?
2/7, 1
Suppose 3*m - 8*m = -15. Let j(n) be the first derivative of 0*n**4 + n**2 - 3*n**3 + 8 - 6 + n**m - 2*n**4. Factor j(g).
-2*g*(g + 1)*(4*g - 1)
Let k(i) be the first derivative of 14*i**4/5 + 58*i**3/15 - i**2/5 - 4*i/5 + 2. What is j in k(j) = 0?
-1, -2/7, 1/4
Determine i so that -16/9*i - 10/9*i**2 - 8/9 - 2/9*i**3 = 0.
-2, -1
Factor -18/13*b**4 + 2/13*b + 0 + 30/13*b**3 - 14/13*b**2.
-2*b*(b - 1)*(3*b - 1)**2/13
Let j(b) be the second derivative of 3/10*b**2 - 1/20*b**4 + 0 + 0*b**3 - b. Factor j(f).
-3*(f - 1)*(f + 1)/5
Let z(u) be the second derivative of -u**5/300 - u**4/40 - u**3/15 + 3*u**2/2 + 5*u. Let h(m) be the first derivative of z(m). Determine y, given that h(y) = 0.
-2, -1
Let i(w) = -w**3 + 13*w**2 - 2*w - 16. Let o be i(12). Let j = 213/2 - o. Factor -j*b**3 + 0 + 2*b**2 + b**4 - 1/2*b.
b*(b - 1)**2*(2*b - 1)/2
Let x(l) be the third derivative of -l**5/20 + 15*l**2. Solve x(o) = 0 for o.
0
Let s(y) be the third derivative of y**9/75600 + y**8/33600 - y**4/24 - y**2. Let u(r) be the second derivative of s(r). Factor u(a).
a**3*(a + 1)/5
Suppose 10*y - 20*y + 40 = 0. Factor -2/5*n**5 + 6/5*n**y + 0 + 0*n - 6/5*n**3 + 2/5*n**2.
-2*n**2*(n - 1)**3/5
Solve 1/2*y - 1/8*y**2 - 3/8 = 0 for y.
1, 3
Let r(j) be the second derivative of j**7/24 - 2*j**6/15 - 3*j**5/80 + j**4/3 - j**3/6 - 44*j. What is u in r(u) = 0?
-1, 0, 2/7, 1, 2
Suppose 0 = z + 3*z - 12. Let j(k) = k**3 - 2*k**2 + 2*k - 1. Let l be j(2). Factor 2*r**z + 5*r - l*r**3 - 4*r.
-r*(r - 1)*(r + 1)
Let p be (5/50)/(-1*2/(-16)). Let x(j) be the first derivative of -2/5*j**2 - p*j + 13/15*j**3 + 1 - 1/4*j**4. Let x(w) = 0. What is w?
-2/5, 1, 2
Let d(k) be the second derivative of -k**7/1260 - k**6/120 - k**5/30 + k**4/3 - 2*k. Let h(u) be the third derivative of d(u). Factor h(y).
-2*(y + 1)*(y + 2)
Let p(c) = -6*c**4 - 12*c**3 - 21*c**2 + 9*c + 27. Let o(x) = -7*x**4 - 11*x**3 - 22*x**2 + 8*x + 28. Let d(m) = 3*o(m) - 4*p(m). Factor d(l).
3*(l - 1)*(l + 2)**3
Let b = -729/532 + 19/14. Let x = 79/228 + b. Factor 1/3*o**5 - 2/3*o**3 + x + 1/3*o + 1/3*o**4 - 2/3*o**2.
(o - 1)**2*(o + 1)**3/3
Let u(w) be the second derivative of -w**4/12 + w**3/2 + 3*w. Let r be u(3). Suppose 1/4*t**2 + r + 0*t - 1/2*t**3 = 0. What is t?
0, 1/2
Let i(d) = -d**2 - 4*d + 7. Let o be i(-5). Let r = 31/6 + -143/30. Let 1/5 - r*a + 1/5*a**o = 0. Calculate a.
1
Let m be 65/13 + 33/(-7). Suppose -3*y = -y - 4. Let 0 + m*s**y + 2/7*s**4 + 0*s + 4/7*s**3 = 0. Calculate s.
-1, 0
Let u(j) be the second derivative of -j**7/840 - j**4/6 - j. Let h(m) be the third derivative of u(m). Solve h(g) = 0 for g.
0
Let j(u) be the second derivative of -u**3 - 2*u. Let o be j(-4). Factor o*m - m**3 - 24*m.
-m**3
Let g(y) be the second derivative of -y**7/840 - y**6/180 + y**5/120 + y**4/12 + y**3/3 + 4*y. Let m(t) be the second derivative of g(t). Factor m(w).
-(w - 1)*(w + 1)*(w + 2)
Let f be (-2 - 6)/(0 - 1). Let 4*y**3 + 50*y**4 - 17*y**3 - 32*y**3 - f + 5*y**3 - 42*y**2 + 40*y = 0. Calculate y.
-1, 2/5, 1
Let n = 3019/210 - 72/5. Let t = n - -5/14. Find a, given that 1/3*a**2 - 1/3*a**4 + 1/3*a**5 - t*a**3 + 0*a + 0 = 0.
-1, 0, 1
Let z = -644101/7 - -92669. Let s = 656 - z. Factor -2*u**3 + 0 - s*u**2 - 6/7*u**4 - 2/7*u.
-2*u*(u + 1)**2*(3*u + 1)/7
Suppose 40 = 5*r - 5*o, 3*r + o + 0*o - 32 = 0. Solve -r*q**5 + 7*q**5 + 6*q**5 + 3*q**3 + 6*q**4 = 0.
-1, 0
Factor -5 + 2 + 3 + 8*s - 4*s**2.
-4*s*(s - 2)
Let l = -113 + 1018/9. Let x(c) be the third derivative of 0*c + l*c**3 - 1/18*c**4 + 0 + 1/90*c**5 + 2*c**2. Factor x(i).
2*(i - 1)**2/3
Let -45*a**2 + a**3 + 2*a - 137*a - 135 - 4*a**3 - 2*a**3 = 0. What is a?
-3
Let f be 3/((-1701)/444) - 0. Let y = 52/27 + f. Factor -y*g - 8/7 + 6/7*g**2.
2*(g - 2)*(3*g + 2)/7
Let c(r) be the first derivative of 0*r**2 + 0*r + 0*r**3 + 1/10*r**5 - 1/12*r**6 + 4 + 0*r**4. Find a such that c(a) = 0.
0, 1
Let g(j) = -j**3 + 8*j**2 - 7*j. Let m be g(7). Suppose 5*k - 10 - 10 = m. Factor 3/2*b**3 + 3 - 3/2*b**k - 15/2*b + 9/2*b**2.
-3*(b - 1)**3*(b + 2)/2
Let g = -11 + 13. Factor 6*s - 4*s - 3*s**g + s**2.
-2*s*(s - 1)
Let s be 3 + (5/(-5) - 0). Let 0 + 0*l + 0*l**3 + 1/2*l**s - 1/2*l**4 = 0. What is l?
-1, 0, 1
Let f be -4*((-2)/4)/1. Suppose f*n - 5 - 3 = 0. Factor 0 + 0*k - 5/2*k**3 - k**2 - 3/2*k**n.
-k**2*(k + 1)*(3*k + 2)/2
Factor -16/7*h**2 + 6/7*h + 0*h**4 + 12/7*h**3 - 2/7*h**5 + 0.
-2*h*(h - 1)**3*(h + 3)/7
Let a(l) be the third derivative of -l**8/840 - l**7/525 + l**6/300 + l**5/150 - 31*l**2. Let a(b) = 0. Calculate b.
-1, 0, 1
Let o(j) = -j**2 + 9*j - 6. Let m be o(8). Suppose 12*u**3 - 4*u**m - 3*u**3 + u**2 = 0. What is u?
0, 1/3
Let b(v) be the first derivative of 3*v**4/8 - v**3/2 - 3*v**2/4 + 3*v/2 - 37. Find m, given that b(m) = 0.
-1, 1
Find o, given that 8/7*o**4 - 4/7 + 8/7*o**3 + 2/7*o**5 - 10/7*o - 4/7*o**2 = 0.
-2, -1, 1
Let o(r) = 2*r**4 + 182*r**3 - 557*r**2 + 240*r + 943. Let w(y) = -y**4 - 61*y**3 + 186*y**2 - 80*y - 314. Let k(g) = -6*o(g) - 17*w(g). Factor k(n).
5*(n - 4)**3*(n + 1)
Let f(x) be the first derivative of -3/2*x**2 - 