r j(g).
-5*(g - 8)*(g + 2)**3
Suppose 2*c + 2*c - 20 = 0. Let j be (-2 + c - 3) + 2. What is i in 2*i + 4*i**4 + 0*i - j*i**3 - 5*i**4 + 1 = 0?
-1, 1
Factor 44 + 4*y**2 + 12*y + 44 - 128 + 48.
4*(y + 1)*(y + 2)
Let d(z) = -5*z**2 + 9*z - 4. Let l(u) = -16*u**2 + 27*u - 11. Suppose -4*c + 15 + 13 = 0. Let j(i) = c*d(i) - 2*l(i). Factor j(f).
-3*(f - 2)*(f - 1)
Let r(p) be the third derivative of -7*p**2 - 1/70*p**7 + 0 - 25/2*p**3 + 0*p - 3/10*p**6 - 15/2*p**4 - 23/10*p**5. Find g such that r(g) = 0.
-5, -1
Let s(y) = 3*y**3 + 26*y**2 + 48*y + 36. Let l(c) = 3*c**3 + 27*c**2 + 48*c + 36. Suppose -37*b = -31*b - 36. Let g(z) = b*s(z) - 5*l(z). Factor g(j).
3*(j + 2)**2*(j + 3)
Let i(x) be the second derivative of 1/28*x**4 - 9/14*x**2 + 0 - 1/7*x**3 - 6*x. Factor i(m).
3*(m - 3)*(m + 1)/7
Solve 0*h - 46/5*h**3 + 0 - 4/5*h**2 = 0 for h.
-2/23, 0
Let k(v) be the third derivative of 0*v - 3/2*v**3 + 1/480*v**6 + 1/2*v**4 - 13/240*v**5 + 43*v**2 + 0. Solve k(j) = 0.
1, 6
Determine b, given that 12/7*b**2 - 2/7*b**3 + 36/7 + 50/7*b = 0.
-2, -1, 9
Let j = 49 + -42. Factor 31 + k - 38 + j*k - k**2.
-(k - 7)*(k - 1)
Let q(s) be the first derivative of -s**6/30 - s**5/10 - s**4/12 - 19*s + 17. Let c(j) be the first derivative of q(j). Factor c(b).
-b**2*(b + 1)**2
Suppose 4*h - 3*i = -27, -i + 33 = h - 5*h. Let v be (-12)/(-21) + 3/(h/(-6)). Solve 12/7*a**3 - v*a**2 - 3/7*a**4 - 3/7 + 12/7*a = 0 for a.
1
Let a(k) = -k**3 + 10*k**2 + 11*k - 1. Let l be a(11). Let b be (196/70)/(l/(-5)). Find c, given that 6*c**2 - c**4 - b + 8*c + 11 + 6 = 0.
-1, 3
Let b(s) be the second derivative of s**5/90 + 5*s**4/54 - 16*s**3/9 - 28*s**2 + 2*s + 1. Factor b(y).
2*(y - 7)*(y + 6)**2/9
Find d, given that -75/4*d**2 - 1485*d - 29403 = 0.
-198/5
Find h such that 18/7*h**3 + 0 - 10/7*h**4 + 4/7*h - 2*h**2 + 2/7*h**5 = 0.
0, 1, 2
Let x(d) be the second derivative of 8*d**5/35 - 4*d**4/21 - 13*d**3/7 - 18*d**2/7 - 438*d. Solve x(o) = 0 for o.
-3/4, 2
Factor 15*s + 0 + 5/2*s**4 - 71/2*s**2 - 6*s**3.
s*(s - 5)*(s + 3)*(5*s - 2)/2
Let 0 - 2/7*n**5 - 16/7*n**4 + 0*n - 12/7*n**2 - 26/7*n**3 = 0. Calculate n.
-6, -1, 0
Suppose 6*p - 33 = 3*p. Suppose s + p = 5*k, -2*k - s = -k - 1. Let -2*d + 2*d**2 + 4*d**2 - 12*d**k = 0. Calculate d.
-1/3, 0
Let y(a) be the first derivative of -5*a**3/12 + 5*a**2/4 + 10*a + 174. Factor y(f).
-5*(f - 4)*(f + 2)/4
Let l(p) be the first derivative of -4*p**3/45 - 49*p**2/15 - 16*p/5 + 3. Factor l(y).
-2*(y + 24)*(2*y + 1)/15
Find i such that -321*i**3 - 10200*i**2 - 2*i**4 - 7*i**4 - 443*i**3 + 155*i**3 + 3468*i = 0.
-34, 0, 1/3
Let b = -4521/2 - -2262. Determine a, given that -9/4 - b*a - 1/4*a**2 = 0.
-3
Let l(h) = 13*h - 338. Let s be l(26). Let w(b) be the third derivative of -3/80*b**5 - 1/160*b**6 + 0*b - 1/16*b**4 + 0*b**3 + s - b**2. Factor w(i).
-3*i*(i + 1)*(i + 2)/4
Suppose -35 = -3*d - 20. Factor -3*v**4 + 2*v**2 + 6*v - d*v**2 + 5*v**4 + v**4 - 6*v**3.
3*v*(v - 2)*(v - 1)*(v + 1)
Let j(k) be the second derivative of k**4/30 - 4*k**3/5 + 11*k**2/5 - k + 32. Factor j(c).
2*(c - 11)*(c - 1)/5
Factor -1/2*q + q**3 + 0*q**2 - 1/2*q**5 + 0*q**4 + 0.
-q*(q - 1)**2*(q + 1)**2/2
Let r = 12 - -45. Factor -23*y**3 - 2*y**3 - 48*y**3 - r*y**3 - 3645 - 2430*y + 5*y**4 + 1080*y**2.
5*(y - 9)**3*(y + 1)
Let n = -23563 - -163746/7. Let a = 172 + n. Factor 0 + 6/7*m**2 + a*m**3 + 3/7*m**4 + 0*m.
3*m**2*(m + 1)*(m + 2)/7
Let g(b) be the third derivative of -b**7/420 + b**6/120 + b**5/24 - b**4/8 - 7*b**2 + 9*b. Find y, given that g(y) = 0.
-2, 0, 1, 3
Let h be (-4)/10 - 6/(-15). Suppose h = 5*v - 1 - 9. Factor -l**3 + l**3 - l - 3*l**2 + l**v - l**3.
-l*(l + 1)**2
Let p(b) = b**3 + 4*b**2 + 2. Let s be p(-4). Suppose -2*l - 3*t + 13 = 0, -s*l - 5*t + 3*t = -10. Factor -3*y**3 - 11*y + 4*y - l*y + 6*y**2 - 18*y**2.
-3*y*(y + 1)*(y + 3)
Let h(a) be the second derivative of a**4/4 + 7*a**3 + 147*a**2/2 - 66*a. Let h(w) = 0. Calculate w.
-7
Suppose -g = -5*p - 6*g + 15, 0 = -2*p + 3*g + 21. Let q(i) be the second derivative of 0 + p*i - 3/2*i**2 - 1/4*i**4 + i**3. Factor q(h).
-3*(h - 1)**2
Let v = 1718270 + -994878710/579. Let z = 2/193 - v. What is w in 0 + 2/3*w**2 + z*w = 0?
-1, 0
Let g(j) be the first derivative of 5*j**4/2 + 4*j**3/3 - 10*j**2 + 16. Let d(r) = -r**3 - r**2 + r. Let a(u) = 12*d(u) + g(u). Factor a(f).
-2*f*(f + 2)**2
Let m(w) be the second derivative of -4/3*w**3 + 0 - 1/3*w**4 - 1/40*w**5 - 20*w + 0*w**2. What is l in m(l) = 0?
-4, 0
Let r(a) = a**2 + 15*a + 29. Suppose -3*o - 19 = 4*w, 3*o - 4*o = -4*w + 33. Let v be r(o). What is c in -3/2*c**2 + 0 + 3/2*c**4 + 0*c**v + 0*c = 0?
-1, 0, 1
Suppose -3*p = 3*s - 15, -2*p = 3*s + 2*s - 19. Let b(j) be the first derivative of 1/6*j**s + 0*j + 0*j**2 + 4. Factor b(o).
o**2/2
Suppose -3*c - 5*d = -32, -2*c + 3 = -3*d + 7. Determine n, given that 4 - 8*n**2 + 4*n**c - 20*n + 20*n = 0.
-1, 1
Let z(y) be the second derivative of -10*y**4/3 + 95*y**3/6 - 15*y**2 - y + 16. Let z(h) = 0. What is h?
3/8, 2
Suppose 0 = 2*r - 3*p, -5*r = 4*p - 61 + 15. Suppose -3*g = -r*g. Find m, given that 0*m + 1/4*m**2 - 1/4*m**4 + 0*m**3 + g = 0.
-1, 0, 1
Find c such that 1/6*c**3 - 7 - 43/6*c + 0*c**2 = 0.
-6, -1, 7
Let n = -59399/100 + 594. Let g(o) be the second derivative of 0 + 0*o**2 + 0*o**3 + o + 0*o**4 + 1/150*o**6 - n*o**5. Factor g(v).
v**3*(v - 1)/5
Determine f so that -15*f + 20*f**4 + 72 + 240*f**3 - 225*f**3 - 17*f**4 - 75*f**2 = 0.
-8, -1, 1, 3
Let k(u) be the third derivative of u**5/690 - 7*u**4/138 - 5*u**3/23 - 11*u**2 + 6. Solve k(t) = 0 for t.
-1, 15
Let f(o) be the second derivative of -39 - 7/12*o**3 + 1/24*o**4 + o + 5/2*o**2. Solve f(j) = 0.
2, 5
Let n be (4 - (-530)/(-135))/(2/60). Let i = n + -14/9. Find o, given that i - 2/3*o**2 + 2/3*o**3 - 2/3*o = 0.
-1, 1
Suppose -2*w = -m - 28, -4*w + 53 = -w + 4*m. Let -6*l**2 - 23*l**4 - 10 + w*l - 17*l**4 - 15*l**5 + 56*l**2 = 0. What is l?
-2, -1, 1/3, 1
Suppose -18*y = 40 - 40. Let f(h) be the second derivative of -1/6*h**3 + 0*h**2 + y - 5*h - 1/6*h**4 - 1/20*h**5. Factor f(c).
-c*(c + 1)**2
Let c be -9 + 5 + (-24)/(-6). Find u, given that -4/5*u + c + 2/5*u**2 = 0.
0, 2
Let g be (119/((-174097)/(-114)))/(2 - 22/14). Factor g*j**2 - 2/11 + 0*j.
2*(j - 1)*(j + 1)/11
Let i(g) be the second derivative of 3*g**5/20 + 4*g**4 + 32*g**3 - 57*g + 2. Determine d, given that i(d) = 0.
-8, 0
Suppose 10/3 - 10/3*m**2 + 5/3*m - 5/3*m**3 = 0. Calculate m.
-2, -1, 1
Let n(v) be the first derivative of -v**6/420 + v**5/70 - v**4/28 + v**3/21 + 5*v**2 + 15. Let b(x) be the second derivative of n(x). Factor b(t).
-2*(t - 1)**3/7
Let p = 1249/2 - 624. Factor -p*x**2 - 8 - 4*x.
-(x + 4)**2/2
Suppose 14*x + 1007 = -365. Let o = -880/9 - x. Factor 0*a + 0 - o*a**2.
-2*a**2/9
Suppose -1/7*h**2 + 29/7*h + 0 = 0. Calculate h.
0, 29
Factor 0*t**5 + 12*t**3 + 16*t**3 + 2*t**5 + 11*t**3 - 35*t**3 - 6*t**4.
2*t**3*(t - 2)*(t - 1)
Let c be ((-33)/22)/((-3)/4). Let j be (-95)/(-35) - (-4)/14. Let -6*m**j + 12*m**2 + m**4 - c*m**4 + 2*m**4 - 8*m = 0. Calculate m.
0, 2
Let x(m) be the first derivative of -m**6/57 - 2*m**5/19 - 5*m**4/38 + 10*m**3/57 + 6*m**2/19 - 4. Suppose x(i) = 0. What is i?
-3, -2, -1, 0, 1
Let p(t) = -49*t - 439. Let g be p(-9). Factor -6*m**g + 9/2 - 3*m**3 + 3*m + 3/2*m**4.
3*(m - 3)*(m - 1)*(m + 1)**2/2
Let l(a) = a**3 + a**2 - a + 2. Let k(r) = 4*r**3 + 16*r**2 - 36*r + 31. Let t(p) = k(p) - 5*l(p). Let t(n) = 0. What is n?
1, 3, 7
Let m(n) be the third derivative of 0*n + 1/420*n**7 - 18*n**2 - 1/120*n**5 - 1/672*n**8 + 0*n**4 + 1/240*n**6 + 0*n**3 + 0. Factor m(x).
-x**2*(x - 1)**2*(x + 1)/2
Suppose 254*s - 260*s + 30 = 0. Let k(v) be the first derivative of -1/4*v**2 + 1 + 1/8*v**4 + 1/6*v**3 + 0*v - 1/10*v**s. Suppose k(w) = 0. What is w?
-1, 0, 1
Suppose 14*d - 10*d = 68. Let t(k) = k**2 + 2*k + 3. Let s be t(-2). Suppose -9*h**s - 3*h + d*h**2 - 8*h**2 + 4*h**4 - h**4 = 0. What is h?
0, 1
Let z(g) be the first derivative of -18 + 2/33*g**3 + 2/11*g**2 + 2/11*g. What is x in z(x) = 0?
-1
Let a be 4/(-10) - (-27)/(-45). Let k be 4 - a*(-2)/2. Let 8*w + 1 - 4*w - 3 - 4*w**k + 2*w**4 = 0. What is w?
-1, 1
Let f(b) be the first derivative of 0*b - 7/15*b**5 + 19 - 1/12*b**4 + 1/6*b**6 - 1/3*b**2 + 7/9*b**3. Let f(d) = 0. Calculate d.
-1, 