Let f(h) be the second derivative of -h**4/6 + 4*h**3/3 + 5*h**2 - 760*h. Let f(c) = 0. Calculate c.
-1, 5
Let t be (0 + 9/(-48))/(37/(666/(-81))). Let q(y) be the second derivative of -1/80*y**5 - 1/8*y**2 + 1/48*y**4 + t*y**3 - 6*y + 0. Factor q(c).
-(c - 1)**2*(c + 1)/4
Let 30*n + 3/4*n**3 + 27 + 39/4*n**2 = 0. What is n?
-9, -2
Factor 66 - 48*d - 31 + 112 + 23 + 3*d**3 - 15*d**2 + 70.
3*(d - 5)*(d - 4)*(d + 4)
Suppose 70 = 22*u - 44 - 480. Let w(g) be the second derivative of -1/3*g**2 - u*g - 7/9*g**3 + 0 - 4/15*g**5 - 7/9*g**4. Solve w(p) = 0 for p.
-1, -1/2, -1/4
Let b = -602 - -606. Factor -2*f**2 - f**2 + f**3 + 0*f**3 + 25*f**4 + 3*f**3 - 10*f - 24*f**b + 8.
(f - 1)**2*(f + 2)*(f + 4)
Let l(f) be the first derivative of -91 - 48/5*f + 26/5*f**2 - 4/15*f**3. Suppose l(h) = 0. What is h?
1, 12
Let t(a) be the first derivative of 5/21*a**3 - 6/7*a + 1/7*a**4 - 23/14*a**2 + 200. Let t(k) = 0. What is k?
-3, -1/4, 2
Suppose 14 = 20*t - 22*t. Let c be (168/(-10))/t*15/2. Suppose -15*s**4 + 80*s**3 + 32 + 18*s + c*s - 145*s**2 + 64*s - 52 = 0. What is s?
1/3, 1, 2
Suppose -17*t = -5*l - 13*t + 70, 5*l = 3*t + 65. Let g(z) be the first derivative of -6*z**2 - l*z**3 + 24*z - 6 - 9/4*z**4. Factor g(i).
-3*(i + 2)**2*(3*i - 2)
Let c be ((-184665)/(-12285) - (-12)/14) + 50/(-30). Factor 2/9*n**2 - c*n + 2048/9.
2*(n - 32)**2/9
Suppose -98/3*v**3 + 1184/9 - 304/9*v**2 + 2/9*v**4 + 392/3*v = 0. Calculate v.
-2, -1, 2, 148
Find z, given that -231/4 + 31/4*z + 1/2*z**2 = 0.
-21, 11/2
Let b(a) = -2*a**3 + 3*a**2 - 2*a - 4. Let f be b(-1). Let n(h) be the first derivative of -21/10*h**2 - 8/5*h**f - 3/5*h - 6 + 12/5*h**4. Factor n(c).
3*(c - 1)*(4*c + 1)**2/5
Let i(j) = 10*j**2 - 1640*j - 8386. Let m(q) = -18*q**2 + 2952*q + 15094. Let h(u) = 29*i(u) + 16*m(u). Factor h(v).
2*(v - 169)*(v + 5)
Factor 102063 + 1480*s + 4*s**2 - 53493 - 51546.
4*(s - 2)*(s + 372)
Let m = 459 + -456. Let q(a) be the second derivative of 1/42*a**4 + 0 - 1/147*a**7 + 0*a**2 + 1/35*a**6 - 10*a + 0*a**m - 3/70*a**5. Solve q(k) = 0.
0, 1
Suppose -22*r + 12*r + 440 = 0. Factor 140*n + 4*n**3 - 24 + 21189*n**2 - 21265*n**2 - r.
4*(n - 17)*(n - 1)**2
Let t be ((-88)/32)/(-53 - -52) - 2/(-8). Find h, given that -10/3*h**4 - 38/3*h**t - 10/3*h + 4/3 - 14*h**2 = 0.
-2, -1, 1/5
Factor 1525*g + 4864 - 775*g + 86*g - 4*g**2 + 1145*g + 2879*g.
-4*(g - 1216)*(g + 1)
Let h(y) be the first derivative of 5*y**3/3 + 4680*y**2 + 4380480*y - 12974. Factor h(n).
5*(n + 936)**2
Let y be 8/(-10) - 169/(-169). Factor 4/5*p - 4/5*p**3 - y*p**2 + 1/5.
-(p - 1)*(p + 1)*(4*p + 1)/5
Let j(v) = -19*v**2 - 5. Let q(n) = 10*n**2 + 3. Let w(m) = -3*j(m) - 5*q(m). Let h be w(-2). Factor 24*f**2 - h*f**2 - 8*f**3 + 0*f**3 - 4*f**4.
-4*f**2*(f + 1)**2
Let t(j) = 5*j**4 - 3*j**3 - j**2. Let n(l) = -36*l**4 + 1676*l**3 + 3300*l**2 + 1644*l. Let u(x) = -n(x) - 8*t(x). Find y, given that u(y) = 0.
-411, -1, 0
Let d be 3 - ((-5)/(-1) - (-24 + 7 + 23)). Let i(u) be the third derivative of 0 + 0*u**3 + 0*u - 1/12*u**5 - 1/24*u**6 + 5/12*u**d - 25*u**2. Factor i(c).
-5*c*(c - 1)*(c + 2)
Suppose -4 - 7 + 11 = -118*w. Let p(j) be the first derivative of w*j - 2/9*j**3 + 1/12*j**4 + 1/6*j**2 + 7. Solve p(x) = 0 for x.
0, 1
Let s(f) = f + 13. Let q be s(-5). Suppose c - q + 5 = 0. What is u in -13*u**3 + 15*u**c - 6*u**4 + 4*u**2 + 2*u**2 - 4*u + 2*u**5 = 0?
-1, 0, 1, 2
Let u(y) = 2*y**2 - 247*y - 9034. Let l(b) = b**2 - 228*b - 9031. Let d(p) = -3*l(p) + 2*u(p). Suppose d(t) = 0. Calculate t.
-95
Let s(c) be the first derivative of c**6/180 - c**5/15 - 5*c**4/12 + 99*c**3 - 200. Let j(f) be the third derivative of s(f). Find p such that j(p) = 0.
-1, 5
Factor 2*w**2 + 230*w**4 - w + 59*w**4 - 285*w**4 + 7*w**3.
w*(w + 1)**2*(4*w - 1)
Suppose -5*u = k - 2*k - 31, 4*k - 9 = u. Let h be (-1888)/(-7) - (-2)/u. Factor 19*w + 266*w**3 - 3*w - h*w**3.
-4*w*(w - 2)*(w + 2)
Let a(g) be the second derivative of -g**5/50 - 11*g**4/10 + 17*g**3/3 + 105*g**2 - 8992*g. Factor a(h).
-2*(h - 5)*(h + 3)*(h + 35)/5
Determine p, given that -1009*p**2 + 335*p**2 + 9 + 336*p**2 + 337*p**2 - 3 - 5*p = 0.
-6, 1
Let s be 43 - -66*16/(-192). Suppose 1/6*u**2 + s - 5*u = 0. Calculate u.
15
Let v(y) = 389*y + 35012. Let b be v(-90). Let o = -25/4 + 83/12. Solve 0*r + o - 2/3*r**b = 0.
-1, 1
Suppose -3*s + 3 = 3*h, 19 = -s + h + 2*h. Let g be (10 - 12) + (-62)/s. Factor 3/2*w**2 + g + 9*w.
3*(w + 3)**2/2
Let k(b) be the third derivative of b**9/3024 + b**8/32 + 7*b**7/8 - 17*b**4/24 - b**3/3 - 91*b**2. Let t(x) be the second derivative of k(x). Factor t(p).
5*p**2*(p + 21)**2
Let i(n) be the second derivative of n**4/18 - 530*n**3 + 1896075*n**2 - n - 4112. Factor i(f).
2*(f - 2385)**2/3
Suppose 4*h = -h - 45. Let n be (-34)/h + (-12)/(-54). Factor 0*m**2 - 4*m - m + n*m**2 - 3*m.
4*m*(m - 2)
Let w(u) be the first derivative of 3*u**4/4 - u**3 - 603*u**2/2 + 1755*u - 2534. Factor w(j).
3*(j - 13)*(j - 3)*(j + 15)
Suppose -3*h + 3*r = -27, -4*h + 24 = 14*r - 16*r. Let d(w) be the first derivative of 31 - 9/11*w**2 + 1/22*w**4 - 10/11*w - 2/11*w**h. Factor d(a).
2*(a - 5)*(a + 1)**2/11
Let z(r) be the second derivative of -3*r - 31 - 1/12*r**4 + 5/3*r**3 + 0*r**2. Find x such that z(x) = 0.
0, 10
Let d be (-175)/182*-94 - (1 - 0). Let p = 90 - d. Suppose -24/13*y + 0 - 4/13*y**4 + 10/13*y**3 + p*y**2 = 0. Calculate y.
-3/2, 0, 2
What is q in -5*q**4 - 38405988*q + 38405988*q - 7430*q**3 - 2760245*q**2 = 0?
-743, 0
Let o be 24*21*6/(-264). Let z = 1748/143 + o. Solve -z*m - 2/13*m**3 - 4/13 - 8/13*m**2 = 0 for m.
-2, -1
Suppose 5*n + 3 = -7. Let r be n/9 + 0 - (-255)/540. Determine t so that -r*t**2 + 3/4 - 1/2*t = 0.
-3, 1
Suppose 4*s - s - 2*v = 5, 2*v - 30 = -4*s. Suppose 0 = -0*n - 12*n + 36. Determine z, given that n*z**2 + 3*z - 11 + 0*z**2 + s = 0.
-2, 1
Let f be (1 - (-828)/10)*(10 + -5). Suppose 22 = -408*n + f*n. Suppose 1/2*x**n + 1 + 3/2*x = 0. What is x?
-2, -1
Let b(v) be the third derivative of -v**10/151200 - v**9/8640 + v**8/1120 - 37*v**5/20 - 7*v**2 - 2*v. Let f(u) be the third derivative of b(u). Factor f(p).
-p**2*(p - 2)*(p + 9)
Let t(q) = 2*q**2 + 18 + 4 + 32*q + 3. Suppose 0 = 20*n - 385 + 485. Let u(c) = 9*c**2 + 129*c + 99. Let g(f) = n*u(f) + 21*t(f). Let g(x) = 0. What is x?
-1, 10
Let n(x) = -x**2 + 19*x + 51. Let b be n(21). What is i in 8*i**2 - 2*i**3 - 10*i**3 - b*i - 18 + 11*i**3 = 0?
-1, 3, 6
Let k be -71 + 3289/44 - 18/8. Factor -384 - k*m**2 + 48*m.
-3*(m - 16)**2/2
Let s(z) = 2*z**2 - 16*z + 2. Suppose 21*x - 30 = 16*x. Let v(c) = 2*c**2 - 17*c + 1. Let m(g) = x*v(g) - 7*s(g). Determine o so that m(o) = 0.
1, 4
What is o in 0 - 16/7*o**2 + 12/7*o - 5/7*o**3 + 3/7*o**4 = 0?
-2, 0, 2/3, 3
Factor 13341915 + 3917*i - 12587*i - 4365899 + 5*i**2 - 3314*i - i**2.
4*(i - 1498)**2
Let m(c) be the first derivative of -c**4/6 + 46*c**3/3 - 68*c**2/3 + 932. Factor m(d).
-2*d*(d - 68)*(d - 1)/3
Let y(g) = 34*g**2 + 5342*g + 629281. Let p(w) = 12*w**2 + 1776*w + 209760. Let q(b) = 11*p(b) - 4*y(b). Factor q(v).
-4*(v + 229)**2
Let q(x) be the second derivative of -x**5/4 - x**3/6 - x**2 - 12*x + 2. Let i be q(-1). Determine g, given that -6/7 - 9/7*g**2 - 3*g + 15/7*g**i + 3*g**3 = 0.
-1, -2/5, 1
Let u(v) be the first derivative of -v**5 + 2355*v**4/2 - 1109200*v**3/3 - 2355*v**2 + 1109205*v - 2831. Solve u(f) = 0 for f.
-1, 1, 471
Let a(f) be the second derivative of -8/3*f**2 + 1/30*f**5 - 1/9*f**3 + f + 13 + 4/9*f**4. Solve a(l) = 0 for l.
-8, -1, 1
Let w = 7 - 5. Let u be (80/5)/4 - w. Suppose -20 - 3*o**4 - 123*o - 2*o**4 + 123*o + 25*o**u = 0. What is o?
-2, -1, 1, 2
Let g(p) be the second derivative of -p**4/24 + 2*p**3 - 27*p**2 + 6*p - 61. Factor g(a).
-(a - 18)*(a - 6)/2
Factor 358 - 3*h**2 + 155 - 728*h + 758*h.
-3*(h - 19)*(h + 9)
Suppose -5*u = j - 630, -294 = -4*u - j + 210. Factor 5*n**2 + 88*n - 43*n - 104*n - u*n + 180.
5*(n - 36)*(n - 1)
Suppose 0 = 4*s - 0*s - 4, -5 = -5*d - 5*s. Let h be (12*3/8 - 5)*d. Let -1/3*p + h - 1/3*p**2 = 0. Calculate p.
-1, 0
Let j(p) = p - 1. Let u be j(5). Factor 18 + 6*w**3 - u*w - 20 + 2*w**3 - 20*w**2 + 26.
4*(w - 2)*(w + 1)*(2*w - 3)
Let x be -1 - (-12)/1 - (-27)/(-3). Factor -5/3*w**3 + 1/3*w**x + 7/3*w**4 + 0 + 0*w - w**5.
-w**2*(w - 1)**2*(3*w - 1)/3
Let w be (-1 -