0. Solve -1/4*v**2 + t*v**3 + 0 + 0*v + 1/4*v**4 = 0.
-1, 0, 1
Let b(o) = -2*o**2 + 40*o - 177. Let x be b(7). Factor -x*l**2 + 40*l + 6*l**2 - 2*l**2 - 6*l - 26 - 263.
-(l - 17)**2
Let r(t) be the second derivative of 7/40*t**5 + 2 - 1/30*t**6 + 1/2*t**2 - 1/12*t**3 - 1/4*t**4 - 97*t. Solve r(d) = 0.
-1/2, 1, 2
Let h(d) be the third derivative of -d**6/30 + 1217*d**5/15 - 185440*d**4/3 + 739328*d**3/3 + 9*d**2 - d - 1. Let h(c) = 0. What is c?
1, 608
Let l(x) = x**2 + 100*x + 94. Suppose 18 = 2*y + 8. Let a(b) = 51*b + 48. Let g(i) = y*a(i) - 3*l(i). Let g(n) = 0. Calculate n.
-14, -1
Let j(t) be the third derivative of -2*t**7/105 - 29*t**6/30 - 281*t**5/15 - 979*t**4/6 - 484*t**3 + 45*t**2 - 6*t. Let j(s) = 0. Calculate s.
-11, -6, -1
Let n = -1222143/2 - -611072. What is k in n*k**4 + 5/2*k**3 + 0 + 4*k**2 + 2*k = 0?
-2, -1, 0
Let q = 333 - 278. Factor -4*r**4 + 2*r**3 + 116*r + 53*r**2 + 40 + q*r**2 - 20*r**3 + 46*r**3.
-4*(r - 10)*(r + 1)**3
Let n be ((-3519)/(-345) - (11 - 0))*-20. Let a(m) be the third derivative of 1/15*m**5 + 0*m - 1/180*m**6 + 0*m**3 + 0*m**4 + n*m**2 + 0. Factor a(v).
-2*v**2*(v - 6)/3
Let a(k) be the first derivative of -7/24*k**3 + 0*k**2 + 1/32*k**4 + 0*k - 44. Suppose a(u) = 0. What is u?
0, 7
Let i(c) be the second derivative of -c**4/54 - 758*c**3/27 - 143641*c**2/9 - 244*c - 2. Factor i(x).
-2*(x + 379)**2/9
Suppose -8*y + 48 = 4*y. Factor 0*m**5 + 4*m**3 - 6*m + 4*m**2 - 4*m**5 + 861 - 6*m**y - 859 + 6*m**5.
2*(m - 1)**4*(m + 1)
Let u be 15572/(-51)*(-3)/(-2). Let v = 280 - u. Suppose 735*m**2 - 3*m**4 + 6*m**4 - v*m**2 = 0. Calculate m.
-1, 0, 1
Let o(p) be the second derivative of 3*p**5/20 - 3*p**4/4 + p**3 - 2473*p. Suppose o(n) = 0. Calculate n.
0, 1, 2
Let y(m) = -34*m - 9. Let n(k) = -k. Let b(i) = 2*i**2 - 90*i - 28. Let c(f) = b(f) + 12*n(f). Let x(g) = -3*c(g) + 8*y(g). Let x(j) = 0. What is j?
-1/3, 6
Suppose 8*o = 13*o. Suppose s - j - j - 13 = o, -3*j - 9 = 2*s. Factor 0*u**4 - u**3 + 0*u**4 + 4*u**2 + 2*u**4 - 5*u**s.
2*u**2*(u - 2)*(u - 1)
Let l(b) be the second derivative of -1/3*b**3 + 1/18*b**4 + 0 - 4/3*b**2 - 94*b. Factor l(r).
2*(r - 4)*(r + 1)/3
Let c(d) be the second derivative of -d**4/6 + 7*d**3 - 104*d**2 + 4663*d. Factor c(r).
-2*(r - 13)*(r - 8)
Let s = -65 - -68. Determine r, given that -120*r**2 + 43*r + 12*r - 1 - s - 1 = 0.
1/8, 1/3
Let y(o) = -o**2 - 964*o - 241093. Let p(z) = z**2 + 961*z + 241095. Let v(x) = 6*p(x) + 7*y(x). Factor v(c).
-(c + 491)**2
Let m = 208 - 202. Let 8*h**2 + 1 - 1 + 2*h**5 + 75*h**4 - 83*h**4 + m*h**3 - 8*h = 0. What is h?
-1, 0, 1, 2
Let s(q) = -2*q**3 - 24*q**2 - 24*q + 6. Let v be s(-11). Suppose 17*a = 10*a + v. Factor -2*z**3 + 9*z**a + 5*z**4 - 2*z**3 - 10*z**5.
-2*z**3*(z - 1)*(5*z - 2)
Let g(t) be the second derivative of -t**6/210 + t**4/6 - 4*t**3/7 + 257*t**2/2 + 2*t + 24. Let y(x) be the first derivative of g(x). Factor y(i).
-4*(i - 2)*(i - 1)*(i + 3)/7
Let i = 88885/6 - 14814. Let u(x) be the first derivative of -1/12*x**4 + x + 22 - 1/3*x**3 + i*x**2. Factor u(c).
-(c - 1)*(c + 1)*(c + 3)/3
Suppose 2*j + 5*z = 25, -4*z + 36 - 16 = -2*j. Let 3/2*l**5 - 15/2*l**3 + j*l + 0 - 9/2*l**2 - 3/2*l**4 = 0. Calculate l.
-1, 0, 3
Let q(r) = 1. Suppose -7 - 1 = -4*g. Suppose -9 = -p - 2*l, -g*p - l + 1 = -5. Let c(y) = 6*y**2 - 10*y + 1. Let s(o) = p*c(o) + 3*q(o). Solve s(f) = 0.
2/3, 1
Suppose 17/4*i**3 - 3*i**2 + 0 + 0*i = 0. Calculate i.
0, 12/17
Suppose -338 - 2*z**2 + 167 + 5*z**2 + 156 - 12*z = 0. What is z?
-1, 5
Let f be 123/5 + (-27)/45. Let a be (-10*(-4)/36)/(20/f). Factor 1/3*h**2 + 4/3 - a*h.
(h - 2)**2/3
Let z be (16/392)/((-1)/(-7))*7. Factor 13/4*y**3 + z*y**4 + 0*y + 3/2*y**2 + 1/4*y**5 + 0.
y**2*(y + 1)**2*(y + 6)/4
Factor 3*x**2 - 457 + 39*x + 177 - 656 + 36.
3*(x - 12)*(x + 25)
Suppose 0 = 43*a - 181 + 52. Suppose -4*c - 5*r = -10*r + 2, -6 = -a*r. Factor c + 1/3*h**5 - 4/3*h**4 + 14/3*h**2 + 0*h**3 - 17/3*h.
(h - 3)*(h - 1)**3*(h + 2)/3
Find y such that 472/9*y + 370/9*y**2 - 2/9*y**5 + 10*y**3 - 2/9*y**4 + 64/3 = 0.
-4, -3, -1, 8
Let m(p) = -p**3 - 38*p**2 - 40*p - 109. Let f be m(-37). Factor -2916/7*x**f + 1296/7*x + 2187/7*x**3 - 192/7.
3*(9*x - 4)**3/7
Let u(v) be the third derivative of 0 + 0*v + 89*v**2 - 22/105*v**6 + 1/35*v**5 + 1/21*v**4 + 0*v**3. Determine w so that u(w) = 0.
-2/11, 0, 1/4
Let b be 7/(-21)*-3 - -1. Factor -5*l**b - 4 + 519*l - 549*l + 39.
-5*(l - 1)*(l + 7)
Let o(x) be the first derivative of -28/15*x**5 + 11/27*x**6 - 113 - 16/9*x - 4*x**2 + 25/18*x**4 + 100/27*x**3. Suppose o(q) = 0. Calculate q.
-1, -2/11, 1, 2
Let c(o) be the second derivative of o**6/60 - o**5 + 119*o**4/8 + 147*o**3/2 - 2*o - 2529. Find j, given that c(j) = 0.
-2, 0, 21
Let a = -7184 - -7189. Let i(x) be the second derivative of -17*x + 0 - 1/6*x**4 + 0*x**2 + 2/33*x**3 - 1/55*x**a + 1/15*x**6. Determine z so that i(z) = 0.
-1, 0, 2/11, 1
Let n(q) be the third derivative of -1/21*q**7 + 0*q + 1/168*q**8 + 1/6*q**6 + 0 + 5/12*q**4 - 1/3*q**5 - 16*q**2 - 1/3*q**3. Factor n(f).
2*(f - 1)**5
Let w = 36 + -40. Let o be w/16 - (-66)/8. Determine t so that 10*t**3 + o*t**2 - 13*t**2 - 6*t + 25*t**4 - 4*t - 20*t**2 = 0.
-1, -2/5, 0, 1
Let c(f) be the third derivative of -91*f**6/135 - 17*f**5/10 - 8*f**4/9 - f**3/27 - 453*f**2. Suppose c(i) = 0. What is i?
-1, -1/4, -1/91
Let h(q) be the second derivative of 1 + 56*q - 5/4*q**2 - 65/24*q**3 - 25/12*q**4. Factor h(y).
-5*(4*y + 1)*(5*y + 2)/4
Let b be (-6)/4*40/(-6). Suppose -3*s + b + 5 = 0. Factor s*m**3 - 16*m**2 - 10*m**2 - 2*m**3 + 29*m**2.
3*m**2*(m + 1)
Let w(q) = q**3 - 6*q**2 - 224*q + 1177. Let t be w(5). Solve 2/7*d**4 - t*d + 66/7*d**2 + 4*d**3 + 128/7 = 0.
-8, 1
Let k be (1*-1*(-20)/12)/(-2)*672/(-210). Find v such that -2/9*v**3 + 12 + k*v**2 - 10*v = 0.
3, 6
Let s = -38 - -45. Let j be 0 - (8/2 - s). Factor 8*k**2 - 16 - 4*k**3 - 4*k**j + k**5 - 7*k + 12*k + 11*k - k**4.
(k - 2)**2*(k - 1)*(k + 2)**2
Let u(p) be the first derivative of 6 - 5/2*p**2 + 1/80*p**6 + 15/16*p**4 + 0*p + 25/4*p**3 - 9/40*p**5. Let i(q) be the second derivative of u(q). Factor i(z).
3*(z - 5)**2*(z + 1)/2
Let g(b) = -50*b**5 + 176*b**4 + 2*b**3 - 128*b**2 + 24*b + 72. Let w(u) = 2*u**5 - 2*u**2 - u - 3. Let s(p) = g(p) + 24*w(p). Determine r so that s(r) = 0.
-1, 0, 1, 88
Let w = 142 - 145. Let g be 22 - (w + 3 - (-2 + 0)). Factor -33*m + 20*m**2 - 6*m**4 + g*m**3 + 33*m + 11*m**4.
5*m**2*(m + 2)**2
Let u(t) be the second derivative of -5*t**4/12 - 10*t**3 + 400*t**2 + 904*t. What is r in u(r) = 0?
-20, 8
Let f = -2/11381 + 364206/79667. Find q, given that 2/7*q**3 - f*q**2 - 28 + 22*q = 0.
2, 7
Suppose -9*n + 20*n = 572. Suppose 0 = 18*g - 124 + n. Factor 0 + 6/5*l**3 + 12/5*l**2 + 1/5*l**g + 8/5*l.
l*(l + 2)**3/5
Let p(g) be the first derivative of 26 + 0*g - 1/3*g**4 + 9*g**2 + 1/30*g**5 - 5/3*g**3. Let o(s) be the second derivative of p(s). Factor o(h).
2*(h - 5)*(h + 1)
Let w(n) be the second derivative of -n**9/22680 + 13*n**8/10080 - n**7/315 + n**4/4 + 12*n - 1. Let q(l) be the third derivative of w(l). Factor q(c).
-2*c**2*(c - 12)*(c - 1)/3
Let j = 38928/136297 - -2/19471. Suppose 4*d + 2 = 5*d - b, 5*d - 10 = b. Determine t so that -9/7*t + 6/7*t**4 + 16/7*t**d + j - 2*t**3 - 1/7*t**5 = 0.
1, 2
What is u in 11 - 128*u**2 - 12*u**3 + 1111*u + 9 - 608*u + 20 - 579*u = 0?
-10, -1, 1/3
Let u(o) = 2*o**2 - 5*o - 8. Let l(x) = 11*x**2 + 4388*x - 4879729. Let d(m) = -l(m) + 6*u(m). Let d(q) = 0. What is q?
2209
Solve 2/3*i**2 - 30*i + 172/3 = 0 for i.
2, 43
Let j be (2/(-2))/(105248/5060 - (21 + 0)). Suppose 15/4*y**4 + 9/2*y + 93/4*y**2 + 111/4*y**3 + 0 - 21/4*y**j = 0. What is y?
-1, -2/7, 0, 3
Factor -402*i + 8/3*i**2 - 302/3.
2*(i - 151)*(4*i + 1)/3
Let x(o) be the second derivative of -o**5/16 - 187*o**4/16 + 257*o**3/6 + 57*o**2/2 - 258*o + 8. Let x(s) = 0. Calculate s.
-114, -1/5, 2
Suppose -6*l - 157 = -57*l - 55. Let w(o) be the third derivative of 7*o**l + 1/20*o**5 + 0*o**3 - 2 + 0*o + 1/4*o**4. Let w(s) = 0. What is s?
-2, 0
Let z(a) = a**3 + 25*a**2 + 128*a + 1366. Let n be z(-22). Solve 2/11*r**n + 50/11 - 20/11*r = 0.
5
Let k(f) be the first derivative of 0*f - 15/2*f**4 - 61 - 26/3*f**3 - 4*f**2 - 1/3*f**6 - 14/5*f**5. Factor k(n).
-2*n*(n + 1)**3*(n + 4)
Suppose 4*i 