0 for u.
-2, 0, 1, 5
Let i be -1 - -5 - ((-9 - -9) + -17). Factor 8 + i*s + 3*s**2 - 6 + 19 - 3.
3*(s + 1)*(s + 6)
Let p be (19 + -3 + 0 - 42/6) + (-238)/68. Factor 0 + 0*k - 17*k**3 + 3/2*k**4 + p*k**2.
k**2*(k - 11)*(3*k - 1)/2
Let p be ((-1)/16)/(730/(-11680)). What is x in -29/7*x - p - 9/7*x**5 + 10/7*x**2 + 86/7*x**3 - 51/7*x**4 = 0?
-7, -1/3, 1
Let y(r) be the second derivative of -r**5/35 + 2*r**4/21 + 2*r**3/21 - 4*r**2/7 - r + 476. Determine o, given that y(o) = 0.
-1, 1, 2
Let y(u) be the third derivative of -2/3*u**3 + 0 + 32*u**2 + 1/40*u**6 - 1/8*u**4 + 0*u - 1/210*u**7 + 1/12*u**5. Factor y(g).
-(g - 4)*(g - 1)*(g + 1)**2
Let 7/5*t**4 + 66/5*t**3 + 0 + 0*t - 8*t**2 = 0. What is t?
-10, 0, 4/7
Let n(t) be the second derivative of -5*t**4/48 - 725*t**3/24 + 15*t + 29. Factor n(b).
-5*b*(b + 145)/4
Let f(x) be the third derivative of 1/15*x**6 + 0 - 1/210*x**7 + 0*x + 5/12*x**4 - 17/60*x**5 + 108*x**2 + 0*x**3. Factor f(b).
-b*(b - 5)*(b - 2)*(b - 1)
Let c(v) be the first derivative of -v**6/6 + 7*v**5/5 - 7*v**4/2 + 8*v**3/3 + 881. Factor c(d).
-d**2*(d - 4)*(d - 2)*(d - 1)
Let a(p) be the first derivative of -p**9/3024 - p**8/280 - p**7/280 + p**6/36 - 95*p**3/3 - 130. Let s(n) be the third derivative of a(n). Factor s(x).
-x**2*(x - 1)*(x + 2)*(x + 5)
Find l such that -123/4*l**4 - 171/4*l**3 + 0 + 45*l**5 - 9/4*l + 123/4*l**2 = 0.
-1, 0, 1/12, 3/5, 1
Let 14/3 - 8/9*u**3 + 8/9*u - 44/9*u**2 + 2/9*u**4 = 0. Calculate u.
-3, -1, 1, 7
Suppose -4*k - u + 35 = 0, 89*u = 92*u + 3. Suppose 0 = -2*v + 10, -12*t + 3*v = -9*t + k. Factor 16/5*p**t + 4/5*p**3 + 0 + 0*p.
4*p**2*(p + 4)/5
Let d = -8 + 10. Let z be (0 + 0)*(-4)/(-48)*4. Factor -k**3 + 4*k**2 + z*k**2 - 9 + 3*k + k**2 + d*k**3.
(k - 1)*(k + 3)**2
Let s(d) = 30*d**3 - 1740*d**2 + 105*d + 1659. Let b(k) = 9*k**3 - 522*k**2 + 31*k + 498. Let i(q) = -27*b(q) + 8*s(q). Suppose i(p) = 0. Calculate p.
-1, 1, 58
Let a = 40643/389712 - 1/8119. Let l(m) be the third derivative of -a*m**4 - 1/48*m**5 - 5/24*m**3 + 0 - 12*m**2 + 0*m. Determine c, given that l(c) = 0.
-1
Let m(f) = -100*f**3 + 119*f**2 - 5993*f + 46249. Let a(c) = -89*c**3 + 122*c**2 - 5992*c + 46248. Let b(n) = -9*a(n) + 8*m(n). Factor b(i).
(i - 68)**2*(i - 10)
What is t in -772/13 + 2/13*t**2 - 382/13*t = 0?
-2, 193
Let t(p) be the second derivative of -3*p**5/20 + 173*p**4/36 + 170*p**3/9 - 14*p**2 + 130*p + 1. Find n such that t(n) = 0.
-2, 2/9, 21
Let h = -674882 + 1349785/2. Find s such that 5/2*s**2 - 10 - h*s = 0.
-4/5, 5
Let x = 30478/13 - 2344. Solve x - 42/13*y**2 - 20/13*y + 144/13*y**3 = 0.
-3/8, 1/3
Suppose -2*u + 3*u = 51. Let p = -39 + u. Factor -12*i**2 + p + 8*i**2 + 4*i + 6*i - 2*i.
-4*(i - 3)*(i + 1)
Factor -5/2*q**2 + 0 + 115/2*q.
-5*q*(q - 23)/2
Suppose -5286*p + 841*p - 1838 = -11314 - 8304. Determine g, given that -2/3*g**2 + 1/3 + 1/6*g**5 - 1/3*g**3 + 1/6*g + 1/3*g**p = 0.
-2, -1, 1
Let m be ((-2)/(-4))/((-4)/(6008/(-3))). Let b = -249 + m. Suppose -8/3*v**2 + 0 + b*v - 4*v**3 = 0. Calculate v.
-1, 0, 1/3
Let j(g) be the second derivative of 4*g + 9 - 5/2*g**2 - 5/3*g**3 - 5/12*g**4. What is c in j(c) = 0?
-1
Let l = 674 + -671. Factor 10*b**4 - 9*b**2 - b**5 + 14*b**2 - 32*b**l + 39*b**2 - 12*b**2.
-b**2*(b - 4)**2*(b - 2)
Let z(u) = -u**2 - 6*u - 237. Let k(l) = -3*l**2 - 23*l - 712. Let r(m) = -6*k(m) + 17*z(m). Let j be r(-9). Factor 0*s + j + 4/5*s**3 + 2/5*s**2.
2*s**2*(2*s + 1)/5
Let w(t) = -7953*t**4 + 5980*t**3 - 463*t**2 - 2*t + 6. Let n(g) = -23856*g**4 + 17940*g**3 - 1391*g**2 - 4*g + 17. Let b(a) = -6*n(a) + 17*w(a). Factor b(m).
5*m*(3*m - 2)*(23*m - 1)**2
Suppose 0 = -7*g + 11*g - 12. Let z be -1*g - (4 + -9). Solve -50*m + 338 - 463 - 7*m**2 + 2*m**z = 0 for m.
-5
Let n be (32/(-304) + 37/171)*(-4)/(4/(-3)). Factor 10*i**2 + 32/3 - n*i**3 + 21*i.
-(i - 32)*(i + 1)**2/3
Let l(q) be the second derivative of -q**7/420 - q**6/45 + q**5/12 - q**3/3 + 2*q**2 - 2*q + 49. Let m(a) be the second derivative of l(a). Factor m(g).
-2*g*(g - 1)*(g + 5)
Let r be (-8)/(24/(-17)) - (-4)/(-6). Suppose -4*g + r = -7. Let -10 + 95*t - 67*t - 3*t**g - 6 - 8*t**2 - t**3 = 0. Calculate t.
-4, 1
Suppose w + 268 = 5*k + 1808, -5*w = 5*k - 7820. Find z such that 15*z**3 + 3049*z**2 - 60*z - w*z**2 + 5*z**4 + 80 - 1529*z**2 = 0.
-4, -2, 1, 2
Let o be (-89)/(-1) - (54 - 55). Let z be 72/240 + (-17)/o. Find s, given that 1/9*s**2 - z*s + 0 = 0.
0, 1
Suppose -789 + 981 = 64*x. Let r(q) be the second derivative of 0*q**4 + 0*q**x - 1/210*q**5 + 0 + 2/315*q**6 - 20*q + 0*q**2. Factor r(o).
2*o**3*(2*o - 1)/21
Let u(i) be the first derivative of -i**6/6 - 14*i**5/15 + 5*i**4/3 + 130*i**3/9 + 21*i**2/2 - 12*i - 1834. Solve u(f) = 0 for f.
-4, -3, -1, 1/3, 3
Let u = 349/12 + -167/6. Factor -7/4*y - 1/2 - 1/4*y**4 - u*y**3 - 9/4*y**2.
-(y + 1)**3*(y + 2)/4
Let z be 19/((-57)/6)*(-118)/4. Let n be 472/z + 0 + -6. Suppose -2/9*k**n - 8/9 + 8/9*k = 0. Calculate k.
2
Let q(r) be the second derivative of r**5/30 - 758*r**4/9 + 576077*r**3/9 - 1146098*r**2/3 + 52*r - 2. Factor q(y).
2*(y - 757)**2*(y - 2)/3
Let m(q) be the third derivative of -q**5/240 - 199*q**4/32 - 595*q**3/12 + 1988*q**2. Factor m(s).
-(s + 2)*(s + 595)/4
Let x(o) be the first derivative of 0*o**2 - 18/11*o + 55 + 2/33*o**3. Factor x(a).
2*(a - 3)*(a + 3)/11
Let k(i) be the second derivative of i**4/4 - 96*i**3 - 579*i**2/2 + 912*i. Determine b so that k(b) = 0.
-1, 193
Let w(a) = 2*a**2 + 3*a - 10. Let n be w(-7). Let v = -38 + n. Suppose -v*u**3 - 33*u**3 + 96 - 32*u**4 - 56*u**2 - 22*u**3 - 4*u**5 + 80*u = 0. Calculate u.
-3, -2, 1
Let k = 31673/3 + -10556. Let h(c) be the first derivative of -15/4*c**4 + 12 + k*c**3 + 20*c + 20*c**2. Factor h(o).
-5*(o - 2)*(o + 1)*(3*o + 2)
Let j(m) be the second derivative of m**6/30 - 2*m**5/5 - m**4/3 + 16*m**3/3 - 493*m. Factor j(t).
t*(t - 8)*(t - 2)*(t + 2)
Let j = 97 - 100. Let f(r) = -r**3 - 2*r. Let d(s) = 8*s**3 - 10*s**2 + 6*s. Let c(z) = j*f(z) - d(z). Suppose c(u) = 0. What is u?
0, 2
Suppose 3*u + 3*u = 2*u. Suppose -12*n + 13*n - 3 = u. Find h, given that 11*h**2 + 96*h - 595*h**n + 4*h - 6*h**2 - 4 - 16 + 735*h**4 - 225*h**5 = 0.
-2/5, 1/3, 1, 2
Suppose 0 = -0*m + m + 3*n - 6, 3*n = -5*m + 42. Suppose 20*h = m*h. Suppose h*k**3 - 3*k**4 + 8*k**3 + 2*k**3 + 8*k**4 = 0. Calculate k.
-2, 0
Let s(d) = d**2 - 19*d + 37. Let q be s(17). What is v in -3*v**4 + 5*v**3 - 9*v**q + 0*v**3 + 6*v - 4*v**2 - 2 - 2*v**5 + 9*v**4 = 0?
-1, 1
Let j be (((-5)/15)/1)/((-3)/27). Find l such that -1246 - l**j + l + 1246 - l**4 + l**2 = 0.
-1, 0, 1
Let m be 176/12*54/33. Let d be m/9 + (-8)/(-6). Determine l, given that -12*l**2 + 0*l + 3/2*l**5 - 9*l**d + 0 + 18*l**3 = 0.
0, 2
Let h(w) = -w**4 - 2*w + 1. Let o(i) = -64*i**4 - 154*i**3 - 128*i**2 - 62*i + 15. Let k(x) = -30*h(x) + 2*o(x). Factor k(u).
-2*u*(u + 2)*(7*u + 4)**2
Let i(x) be the second derivative of -63/4*x**3 - 343/10*x**5 + 33 + 27/8*x**2 - 2*x + 147/4*x**4. Factor i(t).
-(14*t - 3)**3/4
Let o(d) be the second derivative of -d**5/6 - 31*d**4/6 + 166*d**3/3 - 184*d**2/3 + 611*d. Suppose o(v) = 0. Calculate v.
-23, 2/5, 4
Let m be 8*(-1)/(-48) - 182/1260. Let k(v) be the second derivative of 0 + m*v**3 - 18*v - 1/90*v**4 + 0*v**2. Find l, given that k(l) = 0.
0, 1
Let x(b) be the first derivative of b**6/2 - 72*b**5/5 + 495*b**4/4 - 242*b**3 - 281. Solve x(u) = 0.
0, 2, 11
Suppose 3*d - 4*l + 5*l = 199, -10 = 5*l. Let v = d - 62. Factor 14*x**3 + 5*x + 8*x**3 - 20*x**3 - v*x**4 + 13*x**3 - 15*x**2.
-5*x*(x - 1)**3
Let 201/7*r + 8/7*r**5 + 10/7*r**4 - 28*r**2 - 36/7 - 131/7*r**3 = 0. What is r?
-3, 1/4, 1/2, 4
Suppose -427 = -d - 6*d. Let h = 64 - d. Let -21*q**5 + 90*q**4 - 11*q**2 - 91*q**3 + 70*q**2 - 35*q**2 - 17*q**h = 0. Calculate q.
0, 2/7, 2
Let d(k) be the second derivative of -k**5/60 + 29*k**4/24 + 5*k**3 + 113*k**2/2 - 26*k - 1. Let w(f) be the first derivative of d(f). Factor w(i).
-(i - 30)*(i + 1)
Let r be 89/(-267) - (-2)/3*6/8. Let l(x) be the second derivative of x**2 + 0 - 1/6*x**4 + 1/20*x**5 - r*x**3 + 23*x. Factor l(m).
(m - 2)*(m - 1)*(m + 1)
Find f such that -2/7*f**2 + 0 - 114/7*f = 0.
-57, 0
Let q(t) be the second derivative of -t**5/80 - 35*t**4/24 - 64*t**3/3 - 124*t**2 + 9*t - 79. Solve q(v) = 0 for v.
-62, -4
Let a be (-5