3 - b**2. Let f(j) = j**2 + j + 5. Let s be f(0). Let u(w) = s*d(w) - g(w). What is m in u(m) = 0?
-31, 0
Factor 3/4*y**4 + 0 - 18*y + 33/4*y**3 - 21/2*y**2.
3*y*(y - 2)*(y + 1)*(y + 12)/4
Let z(w) be the third derivative of w**6/300 + w**5/10 + 3*w**4/10 - 104*w**3/15 - 628*w**2. Factor z(l).
2*(l - 2)*(l + 4)*(l + 13)/5
Let p(v) = 360*v - 4318. Let s be p(12). Let l(a) be the first derivative of 3/2*a**2 - 3/5*a**5 + s + 9/4*a**4 + 0*a - 3*a**3. Solve l(h) = 0.
0, 1
Factor 78/5*n**3 + 2/5*n**5 + 0 + 0*n - 32/5*n**4 + 0*n**2.
2*n**3*(n - 13)*(n - 3)/5
Suppose 0 = 159*x - 89*x - 210. Let k(b) be the second derivative of 2/3*b**2 + 0 + 1/3*b**x + 0*b**4 - 18*b - 1/30*b**5. Factor k(s).
-2*(s - 2)*(s + 1)**2/3
Let h = -50287/3 - -16779. Let u = 1905/311 + 2543863/933. Solve h*w**5 + 1090/3*w**4 + 2744/3 + 14896/3*w + u*w**3 + 23198/3*w**2 = 0.
-7, -2/5
Let m(h) be the first derivative of h**4/32 + 11*h**3/24 + 35*h**2/16 + 25*h/8 - 632. Determine y, given that m(y) = 0.
-5, -1
Let g(u) = u**3 + u**2 + 7*u - 14. Let r be g(-7). Let d be 6/51 + (-111)/r. Factor -3/7*n**5 - d*n**3 + 0*n + 0*n**2 + 0 + 6/7*n**4.
-3*n**3*(n - 1)**2/7
Let p(q) be the third derivative of q**7/735 - 3*q**6/70 + 39*q**5/70 - 80*q**4/21 + 100*q**3/7 + 1418*q**2. Factor p(s).
2*(s - 6)*(s - 5)**2*(s - 2)/7
Let b(r) be the first derivative of -48*r + 6*r**2 - 81 - 1/4*r**3. Factor b(l).
-3*(l - 8)**2/4
Let l(x) = 8*x**2 + 7*x. Let j(y) be the second derivative of -5*y**4/12 - 2*y**3/3 - 3*y - 2. Let n(z) = -10*j(z) - 6*l(z). What is k in n(k) = 0?
0, 1
Let k(x) = 28*x - 575. Let s be k(26). Let q be ((-3)/(-4))/(s/408). Factor 0 - 2/13*j**4 - 2/13*j**3 + 0*j**q + 0*j.
-2*j**3*(j + 1)/13
Let a(h) be the first derivative of h**6/180 - h**5/20 - h**4/3 + 49*h**3/3 - 44. Let i(s) be the third derivative of a(s). Factor i(q).
2*(q - 4)*(q + 1)
Let r = 14006/3 - 56021/12. Factor -u**3 + 0*u - u**2 - r*u**4 + 0.
-u**2*(u + 2)**2/4
Suppose -4*n + 11 + 1 = 0. Suppose 7 = 5*t - n*a, 0 = 3*t + a - 3*a - 4. What is q in -134*q**2 + q**3 - 3*q**3 + 128*q**t + 8*q = 0?
-4, 0, 1
Suppose -l + 22*o + 40 = 17*o, -16 = 3*l + 2*o. Let f(d) be the second derivative of 1/15*d**4 + 2/5*d**3 + 4/5*d**2 - 22*d + l. Solve f(a) = 0 for a.
-2, -1
Suppose 0*t + 0 - 17/4*t**2 - t**4 + 69/4*t**3 = 0. What is t?
0, 1/4, 17
Let j(x) = -2*x**5 + 9*x**4 - x**3 - 14*x**2 - 8. Let w(b) = -b**5 + 9*b**4 - 14*b**2 - 6. Let n(a) = -3*j(a) + 4*w(a). Factor n(f).
f**2*(f - 1)*(f + 2)*(2*f + 7)
Let v(u) be the third derivative of u**6/120 - 633*u**5/5 + 801378*u**4 - 2705452128*u**3 + 7295*u**2. Factor v(d).
(d - 2532)**3
Let r be ((-7)/((-28)/100))/(3 - 2). Let y be r/(-15)*(-36)/20. What is p in -8/3*p**2 - 7/3*p - p**y - 2/3 = 0?
-1, -2/3
Let b = -1734504 + 2547985342/1469. Let d = -10/113 - b. Factor 0*g - 2/13*g**2 + d.
-2*(g - 2)*(g + 2)/13
Let d(b) be the third derivative of b**6/200 + b**5/4 - 33*b**4/5 - 1753*b**2. Determine a, given that d(a) = 0.
-33, 0, 8
Factor 1/3*j**3 + 0 - 449/3*j**2 + 0*j.
j**2*(j - 449)/3
Let q be 2 - (-540)/(-243) - ((-77)/63 + -1). Let 8/7*u**q - 4/7 - 4/7*u = 0. What is u?
-1/2, 1
Let f(k) = -91*k**3 - 33*k**2 - 102*k + 6. Let s(w) = 167*w**3 + 67*w**2 + 205*w - 11. Let h(c) = -11*f(c) - 6*s(c). Factor h(t).
-t*(t + 3)*(t + 36)
Suppose 14 = -b - 5*p - 4, -6 = 5*b + 4*p. Suppose -4*n - 20 = 0, 5*n = b*f + 2*n - 19. Factor f*z**3 + 2598*z + 4 - 2588*z + 4*z**2 + 4*z**2.
2*(z + 1)**2*(z + 2)
Determine z, given that -1594*z - 18*z**2 - 104882 - 124*z + 536*z - 1566*z = 0.
-229/3
Let b(m) be the first derivative of 3*m**4 + 148*m**3/3 + 128*m**2 - 240*m + 1080. Factor b(d).
4*(d + 3)*(d + 10)*(3*d - 2)
Let u be 10 + 100247/(-70) - 2/4. Let j = -1421 - u. Factor j*x**3 - 4/5*x**2 + 2/5*x**5 - 2*x - 4/5 + 8/5*x**4.
2*(x - 1)*(x + 1)**3*(x + 2)/5
Find x, given that 3*x**2 - 210*x + 0*x**2 + 68091 - 9291 - 94*x - 536*x = 0.
140
Let u(t) = 2*t**3 - 8*t**2 + 7*t - 3. Suppose 5*g - 62 = -47. Let v be u(g). Factor v - 7/6*q**2 + q**3 + 1/3*q.
q*(2*q - 1)*(3*q - 2)/6
Suppose r = 2*n + 6, 0 = 3*r + 3*n + 2*n - 7. Let j(d) = 12*d**2 - 17*d - 16. Let s(m) = m**2 - m. Let o(b) = r*j(b) - 44*s(b). Solve o(k) = 0 for k.
-2, 8
Let 62/7*w**2 + 0 + 64/7*w - 2/7*w**3 = 0. Calculate w.
-1, 0, 32
Let p(w) = -10 + 24 - 36*w - 16 - 10 - 2*w**2. Let h(r) = -2. Let u(o) = -6*h(o) + p(o). Factor u(t).
-2*t*(t + 18)
Let 466*g**2 + 430*g**5 - 551*g**2 + 180 - 420*g**5 + 85*g**4 + 185*g**3 - 375*g = 0. What is g?
-4, -3, 1/2, 1
Let w(s) = s**3 + 4*s**2 - 238*s - 936. Let f be w(-4). Factor 4/7*n**2 + 44/7*n + f.
4*(n + 4)*(n + 7)/7
Let k(l) be the first derivative of l**3/2 + 57*l**2/2 - 645*l/2 + 1955. Let k(j) = 0. Calculate j.
-43, 5
Let o(b) = b**2 - 16*b - 43. Let d be o(19). Let c be (3 - (-35)/d) + -5. Find s, given that 9/4*s**2 - 3/4*s**4 - 3/4*s - c - 1/4*s**3 = 0.
-2, -1/3, 1
Suppose 2*q + 77 = -25. Let k = -47 - q. What is b in 4/3*b**3 - 2/3*b**k - 4/3*b + 0*b**2 + 2/3 = 0?
-1, 1
Solve 26*d**3 + 18207*d - 6*d**4 - 238*d**2 - 18017*d + 4*d**4 + 24*d**3 = 0 for d.
0, 1, 5, 19
Let j be 0 - -7 - 7/2*3230/1785. Suppose 14/3*g - j*g**2 + 16/3 = 0. What is g?
-1, 8
Let r(q) be the first derivative of q**3/36 + 203*q**2/12 + 41209*q/12 - 999. Solve r(y) = 0.
-203
Let q(l) be the third derivative of 50*l**2 + 3/25*l**6 + 0 + 3/5*l**3 + 0*l + 1/50*l**5 - 19/40*l**4 - 1/112*l**8 - 4/175*l**7. Suppose q(t) = 0. Calculate t.
-3, -1, 2/5, 1
Suppose 154*f + 2/5*f**2 - 1548/5 = 0. Calculate f.
-387, 2
Let d(p) be the second derivative of p**8/672 + p**7/168 - p**6/36 - p**5/6 - 11*p**3/6 - 32*p - 2. Let j(g) be the second derivative of d(g). Factor j(b).
5*b*(b - 2)*(b + 2)**2/2
Let r(o) = o**2 - 2*o - 1. Suppose -4*m + 9*m - 4*b - 3 = 0, -3 = -m + 2*b. Let c(p) = -3*p - 9. Let v(l) = m*c(l) - 3*r(l). Determine i so that v(i) = 0.
-1, 4
Factor -336 - 460*l - 1224/7*l**2 - 81/7*l**3.
-(l + 12)*(9*l + 14)**2/7
Let n = -62191 + 124383/2. Let n*y**2 + 5/4*y - 1/4*y**3 - 3/2 = 0. What is y?
-2, 1, 3
Determine c, given that 9*c - 3/4*c**2 + 39/4 = 0.
-1, 13
Let r(z) be the second derivative of -3/2*z**4 + 0*z**2 + 0*z**3 + 73*z - 1/10*z**6 + 21/20*z**5 + 0. Find o such that r(o) = 0.
0, 1, 6
Let r(n) be the first derivative of 0*n**2 + 4/3*n**3 - 184 + 0*n. Let r(i) = 0. What is i?
0
Determine j so that 5470/7*j**3 + 8/7*j**5 - 20640/7*j - 6400/7 + 54*j**4 + 21184/7*j**2 = 0.
-20, -8, -1/4, 1
Let m(z) be the second derivative of -5*z**3 + 1/4*z**4 + 75/2*z**2 - 20 + 2*z. Factor m(l).
3*(l - 5)**2
Factor 186/7*c**2 + 18 + 15/7*c**3 - 327/7*c.
3*(c - 1)*(c + 14)*(5*c - 3)/7
Let m(j) be the second derivative of -2*j**7/21 - 8*j**6/5 - 27*j**5/5 + 288*j. Factor m(t).
-4*t**3*(t + 3)*(t + 9)
Let d(f) = -19*f + 14 + 13*f**2 - 7*f - 3*f - 18. Let u(q) = -37*q**2 + 86*q + 11. Let a(k) = -11*d(k) - 4*u(k). Factor a(y).
5*y*(y - 5)
Suppose 12 = 3*i + x, -4*x + 17 = 3*i + 5. Let w be 4 - ((-80)/56 + (-3)/(-7)). Find k, given that 5*k**4 + 2*k**3 + w - 5 - i*k**2 - 3*k**4 = 0.
-2, 0, 1
Let o(w) be the first derivative of -8*w**4/5 - 244*w**3/15 - 46*w**2 - 40*w + 5457. What is f in o(f) = 0?
-5, -2, -5/8
Suppose k = -4*l + 1, 21*l - 24*l - 4 = -4*k. Let o(x) be the second derivative of -38*x + 0*x**2 + l + 1/20*x**5 - 1/3*x**3 - 1/12*x**4. Factor o(r).
r*(r - 2)*(r + 1)
Let y(l) be the third derivative of 13/54*l**4 + 1/30*l**5 + 1/540*l**6 + 8/9*l**3 + 0 + 0*l - 32*l**2. Factor y(v).
2*(v + 2)*(v + 3)*(v + 4)/9
Let t(o) = -18*o**2 - 372*o - 976. Let i(x) = -2*x**2 + 15*x. Let v(a) = -8*i(a) + t(a). Determine g, given that v(g) = 0.
-244, -2
Find k such that -18/11*k**2 + 1596/11*k - 96 = 0.
2/3, 88
Factor -28/9*h - 26/9*h**2 + 0 + 2/9*h**3.
2*h*(h - 14)*(h + 1)/9
Let t be (-5)/2 - 1650/(-132). Let h be 4/t*(-170)/(-136). Factor h*p + 0 + 1/2*p**3 - p**2.
p*(p - 1)**2/2
Suppose -21/2*z**3 + 1/4*z**5 + 0 - 5/4*z**4 - 19*z**2 - 10*z = 0. Calculate z.
-2, -1, 0, 10
Determine j so that -214*j**3 - 16*j - 10*j**2 - j**4 + 215*j**3 + 26*j**2 = 0.
-4, 0, 1, 4
Let h(t) be the third derivative of -494325*t**6/16 - 7605*t**5/2 - 195*t**4 - 16*t**3/3 + 51*t**2 - 14*t - 2. Determine b so that h(b) = 0.
-4/195
Determine w so that -242/23*w - 2/23*w**3 - 492/23 + 248/23*w**2 = 0.
-1, 2, 123
Let l = -7 - -10. Let q**3 - 120*q**2 + q**l - 3 + 