39*n + 17. Let o(u) = -4*c(u) + 11*g(u). Solve o(j) = 0.
1/2, 2/3, 1
Let d(x) be the second derivative of 1/4*x**3 + 1/40*x**5 + 1/4*x**2 + 0 + 1/8*x**4 + x. Factor d(r).
(r + 1)**3/2
Factor 0 + 2/7*h**3 + 0*h**2 - 2/7*h.
2*h*(h - 1)*(h + 1)/7
Let d(n) = 6*n**3 + 9*n**2 + 9*n - 3. Let z(j) = 3*j**3 + 4*j**2 + 4*j - 2. Let m(v) = 5*d(v) - 9*z(v). Factor m(a).
3*(a + 1)**3
Let u = -7 + 21. Factor -10*i**2 + 18*i**3 + 2*i - 14*i**2 - 9*i + u*i**4 - i.
2*i*(i - 1)*(i + 2)*(7*i + 2)
Let x(c) be the second derivative of -c**4/72 + c**2/12 - 5*c. What is i in x(i) = 0?
-1, 1
Let r(s) be the first derivative of -s**3 + 3*s + 6. What is y in r(y) = 0?
-1, 1
Let q(j) be the second derivative of 1/8*j**4 + 1/4*j**3 + j + 0 + 0*j**2. Factor q(v).
3*v*(v + 1)/2
Let k(s) be the first derivative of -s**5/40 - 3*s**4/16 - 13*s**3/24 - 3*s**2/4 - s/2 + 10. Let k(f) = 0. Calculate f.
-2, -1
Suppose -3*b - 3 = -9. Let h be (0 - 0)/(b/(-2)). What is u in u**5 + 0*u**2 + h*u**2 = 0?
0
Let j = -24/43 - -249/215. Suppose 3/5*l**3 + j + 9/5*l**2 + 9/5*l = 0. Calculate l.
-1
Let i be (15/6)/((-5)/(-4)). Suppose -4*x**3 + 0*x - 2*x**4 - 1/3*x**5 + 0 - 8/3*x**i = 0. What is x?
-2, 0
Suppose 3*y - 3 = -0*y. Suppose -i - y = -5. Determine w so that w**3 - 2 - 3*w**3 + 2*w**i + 4*w - 2*w**3 = 0.
-1, 1
Let y = 56 - 51. Solve -1/4*q**y - 1/4*q**4 + 0*q + 0 + 1/4*q**3 + 1/4*q**2 = 0.
-1, 0, 1
Let l(h) = 2*h**2 - 4*h - 1. Let p(g) = -5*g**2 + 11*g + 2. Let z(s) = 8*l(s) + 3*p(s). Factor z(r).
(r - 1)*(r + 2)
Let x(z) be the second derivative of -3*z**5/100 + z**4/5 - z**3/2 + 3*z**2/5 + 4*z. Factor x(r).
-3*(r - 2)*(r - 1)**2/5
Factor 1/4*f**4 + 1/2 - 3/4*f**2 - 1/4*f + 1/4*f**3.
(f - 1)**2*(f + 1)*(f + 2)/4
Let b(s) be the second derivative of -2/3*s**3 - 1/12*s**4 - 2*s**2 + 0 + s. Factor b(o).
-(o + 2)**2
Let x(l) = -3*l**2 - 2*l + 5. Let k(z) = 2*z**2 + z - 4. Let y(n) = -2*n**3 - 2*n**2 + 1. Let q be y(1). Let c(b) = q*x(b) - 4*k(b). Factor c(v).
(v + 1)**2
Let v(l) be the third derivative of -2*l**4 + 2/5*l**5 + 1/10*l**7 + 6*l**2 - 8*l**3 + 1/112*l**8 + 0*l + 2/5*l**6 + 0. Let v(g) = 0. What is g?
-2, 1
Suppose -5*b - 9 + 4 = -5*g, 5*b + g - 13 = 0. Let s(w) be the first derivative of 2/3*w**3 + 1 - 2*w**2 + b*w. Factor s(i).
2*(i - 1)**2
Suppose -5*w - 15 + 15 = 0. What is r in 3/2*r**3 + 0*r + w + 3*r**4 + 3/2*r**5 + 0*r**2 = 0?
-1, 0
Suppose 2*h**4 + 9*h**5 - 18*h**5 + 11*h**5 = 0. Calculate h.
-1, 0
Solve -9/2*n**3 - 3/2*n**5 + 9/2*n**4 + 0*n + 3/2*n**2 + 0 = 0 for n.
0, 1
Let l(y) be the first derivative of -2/5*y**5 - 1/3*y**4 - 1/9*y**6 + 0*y + 0*y**2 + 1 + 0*y**3. What is r in l(r) = 0?
-2, -1, 0
Suppose 5*d + 39 + 21 = 0. Let l be 0/(2 + d/3). Solve 0*x + 2/5*x**2 + l - 2/5*x**4 + 2/5*x**5 - 2/5*x**3 = 0.
-1, 0, 1
Let a be (-6)/(-6)*(0 + 1). Let f = 7 - 5. Factor z**2 - 4 + f*z - a + 5.
z*(z + 2)
Suppose 2*w = s - 3, 4 + 11 = 5*s - 2*w. Let 20/9*c**4 + 2*c - 16/9*c**2 - 2/3*c**5 - 4/9 - 4/3*c**s = 0. Calculate c.
-1, 1/3, 1, 2
Let s(o) be the first derivative of 3*o**5 - 41*o**4/4 + 13*o**3 - 15*o**2/2 + 2*o + 15. Determine x, given that s(x) = 0.
1/3, 2/5, 1
Let m = -600/7 - -1784/21. Let v = -3/7 - m. Let v*k**2 + 2/3 - k = 0. Calculate k.
1, 2
Let b(d) = 5*d**2 + 7*d + 8. Let s(w) = 21*w**2 + 27*w + 33. Let g(i) = -9*b(i) + 2*s(i). Factor g(j).
-3*(j + 1)*(j + 2)
Let i(r) be the first derivative of r**5/15 + r**4/6 - r**2/3 - r/3 - 4. Solve i(v) = 0 for v.
-1, 1
Let n be (-12)/60 - (-1816)/5. Find u, given that 128*u + 13 + n*u**2 - 1 + 4*u = 0.
-2/11
Let s be (-24)/14 - (5 - 7). Solve 2/7 - s*k**3 + 2/7*k - 2/7*k**2 = 0.
-1, 1
Let d = -23 + 23. Let s(f) be the first derivative of 4/5*f**5 - 1 + 0*f + d*f**4 + f**2 - 4/3*f**3 - 1/3*f**6. Factor s(x).
-2*x*(x - 1)**3*(x + 1)
Suppose -3*h - h - 3*o + 33 = 0, 2*o + 46 = 3*h. Let l = -8 + h. Factor -l - b**2 - 3*b**2 + 6*b + 2*b**2.
-2*(b - 2)*(b - 1)
Factor -3*h**3 + h + 0*h**3 - 20*h - 9*h**2 + 13*h.
-3*h*(h + 1)*(h + 2)
Let d = -3/23 + 55/69. Determine l so that -5/3*l**2 - d*l + 0 = 0.
-2/5, 0
Let p(q) be the first derivative of -q**6/270 - q**5/270 + 3*q**2/2 - 2. Let l(b) be the second derivative of p(b). Factor l(g).
-2*g**2*(2*g + 1)/9
Let y(r) be the third derivative of 5*r**8/336 - r**7/42 - r**6/24 + r**5/12 - 8*r**2. Find l such that y(l) = 0.
-1, 0, 1
Suppose 6/13 + 2/13*t**5 + 4/13*t**2 - 10/13*t**4 - 14/13*t + 12/13*t**3 = 0. Calculate t.
-1, 1, 3
Let j(t) be the second derivative of -4*t**4/21 + 10*t**3/21 - 2*t**2/7 + 18*t. Factor j(u).
-4*(u - 1)*(4*u - 1)/7
Let w = 375/1337 + 1/191. Determine o, given that 4/7*o**4 - w*o**5 + 0*o**2 + 0*o - 2/7*o**3 + 0 = 0.
0, 1
Suppose -5*r + 11 = -3*h, 7*h = 4*r + 2*h - 14. Let u be 20/(-72) - r/(-2). Determine q so that -u*q**2 + 2/9*q + 0 = 0.
0, 1
Let k(r) be the third derivative of -r**7/1680 + r**6/160 + r**4/24 + 2*r**2. Let d(n) be the second derivative of k(n). Let d(o) = 0. Calculate o.
0, 3
Let f = 19 - 15. Let t(k) be the second derivative of -1/30*k**3 + 0*k**2 - k + 0 - 1/60*k**f. Let t(b) = 0. What is b?
-1, 0
Let y(x) = -2*x**3 - 2*x**2 + 3*x. Let q be y(-3). Factor -21*b - 6 + 2 - 2 + q*b**2.
3*(b - 1)*(9*b + 2)
Suppose -3/2*m**2 - 3/4 + 9/4*m**4 - 9/4*m + 3/4*m**5 + 3/2*m**3 = 0. What is m?
-1, 1
Let g(w) = w**2 + 5*w - 12. Let l = -7 - 0. Let o be g(l). Factor 4/3*k**3 - 2*k - 2*k**4 + 2/3 + 2/3*k**5 + 4/3*k**o.
2*(k - 1)**4*(k + 1)/3
Let g be 2/(-80)*8/(-16). Let x(r) be the second derivative of 0*r**2 + 1/24*r**3 + 0*r**4 + 2*r + 0 - g*r**5. Determine h, given that x(h) = 0.
-1, 0, 1
Let s(k) = k**2 + 5*k + 6. Suppose -3*a - 14 = 2*j, 14 = -2*j - 2*j + a. Let n be s(j). Factor -h**4 + 4*h**4 - h**3 - 2*h**4 + h - h**n + 0*h.
h*(h - 1)**2*(h + 1)
Let s be 2/2*(6 + -1). Factor k + 13 - 13 - s*k**2.
-k*(5*k - 1)
Let p = 305/182 + 1/26. Let b = -5 - -8. Determine s, given that p*s - 16/7*s**2 - 8/7*s**5 - 2/7 - 4/7*s**b + 18/7*s**4 = 0.
-1, 1/4, 1
Factor -87*d**3 + 8*d**2 + 91*d**3 + 0*d**2.
4*d**2*(d + 2)
Let s = 7 + 0. Suppose 4*l - s - 5 = -2*q, -3*q = 4*l - 10. Factor -o**3 - o**3 + 2*o - 24*o**l + 26*o**4 - 2*o**2.
2*o*(o - 1)**2*(o + 1)
Let y be -3 + 4 + (1 + 1)/(-2). Let c(f) be the second derivative of -f + y + 1/42*f**4 + 2/21*f**3 + 1/7*f**2. Let c(t) = 0. Calculate t.
-1
Let s(v) be the second derivative of -5*v**7/21 + 8*v**6/15 + 2*v**5/5 - 5*v**4/3 + v**3/3 + 2*v**2 + 2*v. Find d, given that s(d) = 0.
-1, -2/5, 1
Let f be (36/27)/4*0. Let -4/15*t**3 - 2/15*t**2 + 0*t + f = 0. Calculate t.
-1/2, 0
Let o be ((-9)/6 - -4) + -2. Let g(c) = c**2 - 3*c - 7. Let r be g(5). Factor k**2 + o + k**r - 7/4*k.
(k + 2)*(2*k - 1)**2/4
Let n(m) be the second derivative of -19/4*m**4 + 0*m**2 - 71/10*m**6 - 2*m**7 + 0 - 9*m**5 + m - m**3. Find b, given that n(b) = 0.
-1, -2/7, -1/4, 0
Suppose -28 = 2*z + 2*z. Let o = -4 - z. Factor -r**3 + 2*r**3 + 16*r + 2*r**o - 8 - 10*r**2 - r**3.
2*(r - 2)**2*(r - 1)
Let j(c) = -16*c**4 - 25*c**3 - 9*c**2 - 7*c - 7. Let n(y) = 5*y**4 + 8*y**3 + 3*y**2 + 2*y + 2. Let r(s) = -2*j(s) - 7*n(s). Factor r(d).
-3*d**2*(d + 1)**2
Suppose 2*q + 3*m - 12 = 7*m, 2*q - 4 = -4*m. Suppose 4*b - 4 = q. Factor 2*c**4 + 0*c**2 + c**5 - 2*c**5 + c - b*c**2.
-c*(c - 1)**3*(c + 1)
Suppose 4*l + o = -4*o - 1, -20 = -5*l - 2*o. Factor 0 + 14*d + 0 - l*d**2 - 4 + 0.
-2*(d - 2)*(3*d - 1)
Factor 4*v**2 - 4*v**4 - 269*v**3 + 273*v**3 - 4*v + 0*v.
-4*v*(v - 1)**2*(v + 1)
Factor s**2 - 2*s**4 + 5*s**2 - 2*s**2 - 2*s**2.
-2*s**2*(s - 1)*(s + 1)
Let t = 165 + -1979/12. Let q(l) be the third derivative of -l**2 + t*l**4 + 0*l - 1/60*l**5 + 0 + 0*l**3. Let q(n) = 0. What is n?
0, 2
Let b(c) be the third derivative of -c**9/30240 + c**7/2520 - c**5/60 + 3*c**2. Let h(l) be the third derivative of b(l). Factor h(n).
-2*n*(n - 1)*(n + 1)
Let b(n) = -n**2 - 7*n - 3. Let f be b(-5). Suppose -f = -5*h + 3*r, -4*h - 2*r + 12 = h. Suppose l + 7*l**3 - 8*l**3 - h*l + 2*l**2 = 0. What is l?
0, 1
Let y(g) be the first derivative of -2/7*g**2 - 1 + 0*g + 2/3*g**3. Factor y(j).
2*j*(7*j - 2)/7
Factor o**4 + 1 - 4*o - 1 + 0*o**4 + 3*o**3.
o*(o - 1)*(o + 2)**2
Let l = -26/15 - -109/60. Let i(b) be the third derivative of -1/30*b**5 - l*b**4 + 0*b + 2/3*b**3 + 0 + 4*b**2. Factor i(v).
-2*(v - 1)*(v + 2)
Let y(q) be the second derivative of q**4/12 -