 be the second derivative of 0*q**2 - 17/3*q**4 + 4/5*q**5 + 7 + 7*q + 8/3*q**3. Suppose u(m) = 0. Calculate m.
0, 1/4, 4
Let t be 39/(-189)*-3 + (-6)/21. Let u be ((8/20)/(-2))/(39/(-130)). Solve -u*h**3 + 0 + t*h**4 - 1/3*h**2 + 2/3*h = 0 for h.
-1, 0, 1, 2
Let c be ((-312)/16*1)/((-5)/10). Find k such that 3*k**3 + 7*k - 100*k + 96 - 45*k + c*k**2 = 0.
-16, 1, 2
Let 0*i**2 + 8/7*i**5 + 0 - 4/7*i**3 + 4/7*i**4 + 0*i = 0. Calculate i.
-1, 0, 1/2
Let q be ((-9)/(-7) + -1)*(-91 + 115 - 23). Determine y, given that -8/7*y**5 + q + 2/7*y + 16/7*y**4 - 10/7*y**2 - 2/7*y**3 = 0.
-1/2, 1
Suppose 0*f - 3*i - 6 = f, 2*f - 2*i = 12. Factor -39*z - 24*z**2 - z**f - z**3 + 65*z.
-2*z*(z - 1)*(z + 13)
Factor 465/4 - 1/4*n**2 - 116*n.
-(n - 1)*(n + 465)/4
Suppose -8*k + 17 = 17*k - 83. Let f(y) be the second derivative of 0 - 2*y**2 + 1/18*y**k - 5/9*y**3 + 2*y. Let f(b) = 0. Calculate b.
-1, 6
Let 80*d + 5 + 1445/4*d**5 - 1105/4*d**4 + 1085/4*d**2 - 1765/4*d**3 = 0. What is d?
-1, -2/17, 1
Suppose -4*s + 30 = -z, z - 3*z + 17 = 3*s. Let w be (-84)/(-147)*s/2. Find h, given that 8/7 - 12/7*h**w + 4/7*h = 0.
-2/3, 1
Let w = -4395 - -4399. Let u(o) be the third derivative of 1/108*o**6 - 12*o**2 + 0 + 1/945*o**7 + 0*o**3 + 0*o**w + 2/135*o**5 + 0*o. Factor u(v).
2*v**2*(v + 1)*(v + 4)/9
Let s be 1544829/247247 + (-6)/57. Suppose -44/7*g + 1/7*g**2 + s = 0. Calculate g.
1, 43
Let m(a) be the first derivative of -2*a**6/3 - 17*a**5/5 + 25*a**4 + 266*a**3/3 - 420*a**2 - 225*a - 4635. Let m(b) = 0. What is b?
-5, -1/4, 3
Let g be -5 + 10 + (985/(-189) - (-8)/28). Let j(c) be the first derivative of 32/9*c - 8/9*c**2 - 18 + g*c**3. Factor j(f).
2*(f - 4)**2/9
Let d(z) be the third derivative of 201*z**2 + 0*z + 1/42*z**7 - 25/12*z**4 + 2/3*z**5 + 5/12*z**6 + 0 - 15/2*z**3. Suppose d(p) = 0. What is p?
-9, -1, 1
Let n = -30 + 35. Let w(o) = -o**3 + 8*o**2 - 11*o - 5. Let i be w(n). Factor -29*d - 5*d**4 - 7*d**3 + 20 + i*d**2 - 11*d - 10*d**3 + 27*d**3.
-5*(d - 2)*(d - 1)**2*(d + 2)
Let z(o) be the first derivative of o**4/16 - 11*o**3/6 + 59*o**2/8 - 19*o/2 + 527. Factor z(u).
(u - 19)*(u - 2)*(u - 1)/4
Let q = -11204/53 + 56126/265. Factor 228/5*o + 6498/5 + q*o**2.
2*(o + 57)**2/5
Let f be (4752/(-3234))/((-180)/1050). Find l such that -f*l**3 + 96/7*l**2 + 0 + 16/7*l - 52/7*l**4 = 0.
-2, -2/13, 0, 1
Suppose -2*w = -4*z - 0*z + 26, 4*z = 3*w + 29. Solve -19 - 5*c - 11 - z*c**2 + 5*c**3 + 35 = 0 for c.
-1, 1
Let d(h) be the first derivative of 4/5*h**5 + 0*h - 140 + 27/4*h**4 + 38/3*h**3 + 8*h**2 - 1/6*h**6. Factor d(i).
-i*(i - 8)*(i + 1)**2*(i + 2)
Determine q, given that -43*q**3 + 73*q**3 - 19*q**3 - 20 - 39*q**2 + 49*q - q**4 = 0.
1, 4, 5
Let v(i) = -3*i**3 + 2*i**2 + 3*i + 1. Let u be v(-2). Let m be 87/u - (-2)/(-9). Factor -9*y**4 - m*y**4 + y**2 + 11*y**4 - y**3 + y**5.
y**2*(y - 1)**2*(y + 1)
Let p be 2 - (298/(-10) + 6/(-30)). Suppose -28 + p = 2*j. Factor -7*h**4 + 16*h - h**j + 4*h**5 + 33*h**3 - 39*h**2 - 3*h**5 - 3*h**4.
h*(h - 4)**2*(h - 1)**2
Suppose 3*w + 8 = -4*b + 5*b, w = 3*b - 8. Factor 6*y**2 + 72*y - 5*y**b - 432 - 3*y**2 - y**2.
-3*(y - 12)**2
Let r(g) be the third derivative of -g**2 + 3/80*g**6 + 34 + 1/16*g**4 + 3/2*g**3 + 0*g - 1/4*g**5. Solve r(s) = 0 for s.
-2/3, 1, 3
Let b(a) = 3*a**2 + 5*a - 3. Let r be b(1). Factor 28*f**3 - 36 + 6*f**r - 11*f**4 + 47*f**2 - 5*f**3 - 3*f**5 - 24*f - 2*f**5.
(f - 6)**2*(f - 1)*(f + 1)**2
Let y be (3 - -6) + 0 + -7. Solve 580*b**5 + y*b - 4*b**4 - 576*b**5 - 2*b = 0 for b.
0, 1
Suppose 5*b + 1 = -2*v - 19, -8 = 3*v + 2*b. Suppose -p + 7*p - 30 = v. Determine c, given that -4 + 537*c**4 - 3*c**p - 546*c**4 - 6*c**3 + 4 = 0.
-2, -1, 0
Let g = 34 + -30. Suppose -g*y - 8 = 4*v, -y + 4*v = 3*v - 6. Find p, given that p**2 + 23 - 6*p**y + 15*p - 3 = 0.
-1, 4
Let m(k) = 3*k**3 + 33*k**2 + 504*k + 4742. Let c be m(-10). What is q in 0*q + 4/13*q**5 - 4/13*q**c - 6/13*q**3 + 6/13*q**4 + 0 = 0?
-2, -1/2, 0, 1
Factor -20449 - 1/4*m**2 - 143*m.
-(m + 286)**2/4
Suppose -20*f + 4*p - 204 = -25*f, -5*p = 4*f - 183. Determine s, given that 48 - f*s + 20/3*s**2 - 4/9*s**3 = 0.
3, 6
Let n(a) be the second derivative of 5*a**4/12 + 1835*a**3/3 + 673445*a**2/2 + 4558*a. Factor n(q).
5*(q + 367)**2
Let r(g) be the first derivative of g**3/9 - 156*g**2 + 73008*g - 5113. Factor r(y).
(y - 468)**2/3
Find m, given that -8 - 12*m - 9*m**3 + 27*m**3 - 6*m + 2*m**4 + 2*m**4 + 4*m**2 = 0.
-4, -1, -1/2, 1
Let a(y) be the third derivative of 2/25*y**5 + 0 + 0*y**3 - 4/525*y**7 - 1/150*y**6 + 1/840*y**8 + 3/20*y**4 + 57*y**2 + 0*y. Factor a(o).
2*o*(o - 3)**2*(o + 1)**2/5
Let h(r) = 16*r**2 + 1328*r - 224456. Let t(n) = 3*n**2 - 2*n - 1. Let q(m) = -h(m) + 6*t(m). Solve q(l) = 0.
335
Factor 0 + 30*p**2 - 1/3*p**3 - 176/3*p.
-p*(p - 88)*(p - 2)/3
Let m(h) be the first derivative of 5*h**4/4 - 620*h**3/3 + 1825*h**2/2 - 1210*h + 1298. Factor m(t).
5*(t - 121)*(t - 2)*(t - 1)
Let a(p) be the second derivative of -p**7/504 + 13*p**6/12 - 507*p**5/2 - 111*p**4/4 + 326*p. Let i(y) be the third derivative of a(y). Solve i(q) = 0 for q.
78
Let x be (-11 + 7)/(976/(-183)). Solve -9/2*g**2 - 6 + 9*g + x*g**3 = 0.
2
Let 30 - 1/4*l**3 + 19/4*l**2 - 47/2*l = 0. What is l?
2, 5, 12
Suppose -m - 2*m + 12 = 0. Suppose 12*z = m*z + 16. Factor 6*j**3 - z*j**3 - 12*j - 9*j**2 - 85 + 97 + 2*j**3 + 3*j**4.
3*(j - 1)**2*(j + 2)**2
Let t be (1/665)/(27/(-42) + (-87)/(-58)). Let u(s) be the third derivative of 0 + 0*s - 10*s**2 + 4/57*s**3 - t*s**5 + 0*s**4. Suppose u(a) = 0. What is a?
-2, 2
Let k(r) be the third derivative of r**7/105 - 7*r**6/12 + 81*r**5/10 + 1235*r**4/12 - 1444*r**3/3 - 13340*r**2. Suppose k(a) = 0. Calculate a.
-4, 1, 19
Let r(f) = -2*f**3 - 11*f**2 + 7*f - 10. Let l be r(-5). Let b be (-175)/(-125) - 22/l. Factor 4/7*s**5 + 0*s + b*s**3 - 4/7*s**2 + 0 - 12/7*s**4.
4*s**2*(s - 1)**3/7
Let h(i) be the second derivative of 1/6*i**3 - 1/120*i**5 + 0 + 1/48*i**4 - 3/2*i**2 + 5*i. Let d(b) be the first derivative of h(b). Factor d(q).
-(q - 2)*(q + 1)/2
Let a(o) be the second derivative of o**5/5 - 2950*o**4 + 17405000*o**3 - 51344750000*o**2 - o + 182. Factor a(h).
4*(h - 2950)**3
Let j = 62 - 61. Suppose -5*b - j + 11 = 0. Let -15*z**3 - 5*z**3 + 3*z**4 + 3*z**5 + 5*z**3 + 4*z**2 + 5*z**b = 0. What is z?
-3, 0, 1
Let l(q) be the first derivative of 2*q**6/9 + 28*q**5/15 - 181*q**4/3 - 748*q**3/9 - 458. Determine m so that l(m) = 0.
-17, -1, 0, 11
Let f be (3 - 28/12)/(4/18). Factor 19 - 3*i**2 + i - f*i + 58*i.
-(i - 19)*(3*i + 1)
Let a(b) be the third derivative of -2*b**2 - 1/30*b**6 - 21296/3*b**3 + 0*b - 15 - 242*b**4 - 22/5*b**5. Determine i so that a(i) = 0.
-22
Let y(f) be the second derivative of 1/4*f**5 + 8*f + 1 - 5/6*f**3 + 0*f**4 + 0*f**2. Let y(l) = 0. What is l?
-1, 0, 1
Suppose 4*f + 191*r = 186*r + 78, 5*f + 3*r - 52 = 0. Suppose -1/5*w**5 + 6/5*w**3 - 4/5*w**f + 0 - 8/5*w + 1/5*w**4 = 0. What is w?
-2, -1, 0, 2
Let t(s) be the second derivative of 0 + 19/6*s**2 - 41/120*s**5 + 13/8*s**4 - 230*s + 1/180*s**6 - 115/36*s**3. Factor t(f).
(f - 38)*(f - 1)**3/6
Suppose -2551 = -3*f - 460. Suppose 3607 + f = 2*z. Solve -12*d**2 + z*d**3 - 3 - 2155*d**3 + 3 = 0.
-4, 0
Let a = -82 - -54. Let y = a + 33. Factor 5*c**2 + 5*c**5 + 165 - y*c**4 - 5*c**3 - 165.
5*c**2*(c - 1)**2*(c + 1)
Let i(h) = 355*h**2 + 3186*h - 3170. Let l(o) = -254*o**2 - 2124*o + 2113. Let v(n) = 5*i(n) + 7*l(n). Factor v(t).
-3*(t - 353)*(t - 1)
Suppose 0 = f + j + 4*j - 9, 3*f - 14 = -2*j. Factor -3*n**5 + 6*n**5 + 0*n - 6*n**3 - 3*n**f - 3 + 3*n + 6*n**2.
3*(n - 1)**3*(n + 1)**2
Let m be (-6)/18 + 4/3. Let a be (-8 - 1)/(-2 + (m - 0)). Factor 76 - a*o - 92 - 3*o - 2*o**2.
-2*(o + 2)*(o + 4)
Let n(j) = 3*j**4 + 5*j**3 - 55*j**2 - 10*j + 47. Let h = -100 - -105. Let x(b) = 2*b**3 + 2*b**2 - b - 1. Let s(f) = h*x(f) + n(f). What is y in s(y) = 0?
-7, -1, 1, 2
Let k(y) be the first derivative of 4*y**3/3 - 1914*y**2 + 3824*y - 1375. What is m in k(m) = 0?
1, 956
Let s(c) be the third derivative of -c**6/80 - 9*c**5/10 - 131*c**4/16 - 24*c**3 - 2057*c**2. Factor s(q).
-3*(q + 1)*(q + 3)*(q + 32)/2
Let o(i) be the first derivative of -141/14*i**2 - 279/28*i**4 - 90/7*i + 177/7*i**3 - 6 - 3/5*i**5. Let o(z) = 0. What is z?
-15, -2/7, 1
Let b(s) be the 