 117332*u + u**3 + 3*u**3 - 1464*u**2 - 576453.
4*(u - 181)**2*(u - 4)
Let r(z) be the third derivative of -z**8/560 + 2*z**7/175 - z**6/100 - z**5/25 + 3*z**4/40 + 118*z**2 + 11*z. Determine b, given that r(b) = 0.
-1, 0, 1, 3
Let i(n) be the second derivative of -n**4/6 + 11*n**3 - 32*n**2 - 448*n. Factor i(b).
-2*(b - 32)*(b - 1)
Let f(a) = -a**2 - 20*a + 131. Let h be f(-25). Factor 14*z**2 - 4*z**2 - h*z**3 - 2*z**4 - 2*z**5 + 4*z**5 - 4*z + 0*z**4 + 0*z**4.
2*z*(z - 1)**3*(z + 2)
Let c be (5 + 0 + 0)/(16 - 17). Let i be 8/3 - c/15. Factor 32*k**3 - 31*k**i + 5*k**2 + 3*k - 3 - 6.
(k - 1)*(k + 3)**2
Let l(s) be the second derivative of -s**6/15 - 33*s**5/5 - 291*s**4/2 + 2376*s**3 - 11664*s**2 - 25*s - 14. Let l(f) = 0. Calculate f.
-36, 3
Let p(w) = -w**3 + 7*w**2 + 2*w + 12. Let n be p(7). Factor n*a**2 - 56*a**3 - 6 - a**3 + 82*a**2 - 45*a.
-3*(a - 1)**2*(19*a + 2)
Let 15776/9*z + 15555136/9 + 4/9*z**2 = 0. Calculate z.
-1972
Let q be 1*-8 - 19008/(-1936). Let g = -48/47 + 904/517. Determine p so that -4/11 - 16/11*p**4 + q*p**2 + 2/11*p + g*p**3 - 10/11*p**5 = 0.
-1, 2/5, 1
Let m(u) be the second derivative of u**6/15 - 59*u**5/10 - 187*u**4/6 + 59*u**3/3 + 186*u**2 + 1093*u - 1. Let m(n) = 0. What is n?
-3, -1, 1, 62
Let m(o) = 53*o**2 + 951*o - 8. Let j(s) = 18*s**2 + 312*s - 3. Let t(d) = 8*j(d) - 3*m(d). Factor t(z).
-3*z*(5*z + 119)
Suppose -35*t = -0*t + 2*t - 74. Let i(h) be the third derivative of 0*h + 3*h**t + 0 - 1/600*h**5 - 7/60*h**3 + 1/30*h**4. Determine y so that i(y) = 0.
1, 7
Let x = -8 + 11. Let 1020*k + 456*k**x + 24*k**3 - 1285*k**2 + 17*k**4 - 260 + 28*k**4 = 0. Calculate k.
-13, 2/3, 1
Let h be ((-2 + 1)/((-1)/3))/1. Let b = -2177 - -2177. Factor b - 4/3*j**h - 2/3*j**5 + 0*j**2 + 0*j + 2*j**4.
-2*j**3*(j - 2)*(j - 1)/3
Let l(a) be the second derivative of -a**8/420 - 2*a**7/105 - 2*a**6/45 + 89*a**3/6 + 22*a. Let k(q) be the second derivative of l(q). Factor k(w).
-4*w**2*(w + 2)**2
Let n = 59 + -52. Suppose 3*w - 27 = -3*g + n*w, 3 = w. Factor -g*c**2 - 17*c**2 - 6 + 15*c**2 - 24*c**2 + 45*c.
-3*(c - 1)*(13*c - 2)
Let q(j) be the third derivative of 5*j**8/336 - 4*j**7/21 - 5*j**6/12 + 2*j**5/3 + 15*j**4/8 + 1799*j**2. What is w in q(w) = 0?
-1, 0, 1, 9
Let l be 9 - ((-4)/(-16)*8 - -4). Factor -155*i**2 + i**l - 150 - 10*i**3 - 11*i**3 - 305*i.
-5*(i + 2)*(i + 5)*(4*i + 3)
Factor 355216/3*s + 0 + 118008*s**2 + 1/3*s**4 - 397*s**3.
s*(s - 596)**2*(s + 1)/3
Suppose 30*v = 31*v - 31. Find k such that -56*k - v*k + 36 + 136*k**2 - 92*k - 22*k**3 - 43*k = 0.
2/11, 3
What is g in 0 + 33/2*g - 3/4*g**2 = 0?
0, 22
Let u(z) be the third derivative of z**6/60 - 91*z**5/90 - z**4/12 + 91*z**3/9 + 452*z**2. Factor u(r).
2*(r - 1)*(r + 1)*(3*r - 91)/3
Factor 0*c + 1/4*c**3 + 41/4*c**2 + 0.
c**2*(c + 41)/4
Let s be 4 + 1/(2/1234). Factor s*y**2 - 617*y**2 + y + 3*y.
4*y*(y + 1)
Let x(z) be the third derivative of z**5/80 - 57*z**4/32 + 65*z**3/2 + 2216*z**2. Find b such that x(b) = 0.
5, 52
Let m be 2 + -2 + -5 + (-91)/((-2548)/280). Suppose 0*g**3 + 2/15*g**4 + 2/15*g**m + 0*g + 0*g**2 + 0 = 0. Calculate g.
-1, 0
Factor 1/4*h**2 - 1067/2*h + 1138489/4.
(h - 1067)**2/4
Let u = 235 + -234. Let i(n) = 3*n**4 - 4*n**3 - 23*n**2 + 25*n + 1. Let a(h) = h**4 - h**2 + h + 1. Let t(k) = u*a(k) - i(k). Factor t(y).
-2*y*(y - 4)*(y - 1)*(y + 3)
Let p(c) be the first derivative of 7*c + 12 - 1/4*c**3 + 0*c**2 + 1/40*c**5 + 1/12*c**4. Let h(m) be the first derivative of p(m). Factor h(b).
b*(b - 1)*(b + 3)/2
Let b(n) = n**2 - 20*n + 35. Let h be b(18). Let s be (-4 - (-23)/5)/(h/(-5)). Solve -18*y + 15 + 12 + 6*y**2 - s*y**2 = 0 for y.
3
Let c(y) be the first derivative of -2/3*y**3 + 0*y + 1/18*y**4 + 14/9*y**2 + 2. Factor c(b).
2*b*(b - 7)*(b - 2)/9
Let h(m) be the first derivative of 2*m**3/21 + 64*m**2/7 + 696*m/7 + 8728. Suppose h(n) = 0. What is n?
-58, -6
Let v be 7 - 4 - (-1)/3. Let b(u) = -32*u + 2. Let q be b(0). Factor -v*g**3 + 8/3*g - 2/3*g**4 + 16/3 - 4*g**q.
-2*(g - 1)*(g + 2)**3/3
Let f(r) be the third derivative of -r**6/360 + 19*r**5/90 + 361*r**4/18 - 27436*r**3/9 + 2*r**2 - 56*r + 2. Solve f(w) = 0 for w.
-38, 38
Let v(q) = 268*q**2 - 1140*q - 6075. Let x(f) = -93*f**2 + 380*f + 2025. Let u(i) = 8*v(i) + 23*x(i). Determine c, given that u(c) = 0.
-5, 81
Let m(v) be the first derivative of v**5/5 - v**4 + 4*v**3/3 + 967. Factor m(i).
i**2*(i - 2)**2
Let n(f) be the first derivative of -4*f**3/3 + 197*f**2 - 196*f - 959. Find o, given that n(o) = 0.
1/2, 98
Let o be 1*3 + (-1984)/434. Let u = -48/35 - o. Factor u - 2/5*h + 1/5*h**2.
(h - 1)**2/5
Let y = 499756 - 7489162/15. Let c = y - 478. Solve 4/5*a**4 - 26/15*a**2 - 14/15*a**3 + c*a + 8/15 = 0.
-1, -1/2, 2/3, 2
Suppose -27*b - 148 = -64*b. Suppose -4*a + a - u = -4, b*a - 17 = u. Find q, given that -2/9*q**a - 8/9 + 0*q + 2/3*q**2 = 0.
-1, 2
Let p(m) = -5*m**4 + 80*m**3 - 889*m**2 + 3244*m - 3886. Let q(g) = g**4 + 5*g**3 - g**2 - 2*g - 1. Let v(j) = -p(j) - 2*q(j). Determine d, given that v(d) = 0.
3, 12
Let a = -730103/5 + 146021. Suppose 0 + 10*k**3 + 336/5*k**2 + a*k**4 + 288/5*k = 0. What is k?
-12, -1, 0
Suppose -k - 3 = 0, -v + 3*v - 4*k = -18. Let l = 38 - v. Factor -6*g + 0*g - 3*g**3 + l*g**2 - 44*g**2.
-3*g*(g - 2)*(g - 1)
Let -3/8*g**5 - 81/8*g**3 + 21/4*g**2 + 48*g + 36 - 15/4*g**4 = 0. What is g?
-4, -3, -1, 2
Solve 3/5*h**5 + 38/5*h**4 - 8/5*h**2 - 6 - 106/5*h**3 + 103/5*h = 0 for h.
-15, -1, 1/3, 1, 2
Let a(p) be the third derivative of -46*p**2 + 4/105*p**7 + 0*p**4 + 0 + 1/15*p**5 + 0*p + 0*p**3 + 1/168*p**8 + 1/12*p**6. Factor a(l).
2*l**2*(l + 1)**2*(l + 2)
Solve -2*i**5 + 28*i**4 + 9*i**2 - 9*i - 15*i + 370 + 36*i**3 - 97*i**2 - 10*i - 310 = 0.
-2, -1, 1, 15
Solve 3630 + 147/2*p**2 - 15*p**3 + 3718*p - 1/2*p**4 = 0.
-22, -1, 15
Solve -1/5*k**2 + 782/5 - 781/5*k = 0.
-782, 1
Factor -1688*q - 994*q + 171*q**2 + 548*q**3 - 546*q**3 + 12798 - 49*q**2.
2*(q - 9)**2*(q + 79)
Let q(g) = g**3 - 13*g**2 - 49*g + 18. Suppose -72*a + 1120 = -2*a. Let p be q(a). Suppose -1/6*n**3 - 5/6 - 1/2*n**p + 3/2*n = 0. Calculate n.
-5, 1
Solve 80 - 32/3*s + 1/3*s**2 = 0 for s.
12, 20
Let l = 4 - 1. Let r = -1766/17 - -3583/34. Factor 0*k + 3/4*k**5 + 0*k**4 - r*k**2 - 9/4*k**l + 0.
3*k**2*(k - 2)*(k + 1)**2/4
Let m = -163 - -166. Solve 20 - 8*b**m + 3*b**3 + 0*b**3 - 2*b**2 - 13*b**2 = 0 for b.
-2, 1
Let p(n) = -3*n**5 - 171*n**4 - 1569*n**3 + 5627*n**2 - 5928*n + 2004. Let w(s) = -3*s**4 + s**2 - 3. Let f(h) = p(h) - 8*w(h). Let f(v) = 0. What is v?
-26, 1
Let j = 713522 + -713518. Factor -3/5*u**j + 6/5*u + 0 + 9/5*u**2 + 0*u**3.
-3*u*(u - 2)*(u + 1)**2/5
Let z(x) be the third derivative of 13/6*x**4 + 20*x**3 - 1/15*x**5 + 0 + 0*x - 132*x**2. Let z(i) = 0. Calculate i.
-2, 15
Let j(w) be the first derivative of w**4/24 - 55*w**3/9 + 261*w**2 - 972*w - 4615. Factor j(h).
(h - 54)**2*(h - 2)/6
Let u(w) = w**3 - 7*w**2 + 57*w - 177. Let i be u(4). Let x(f) be the first derivative of 5*f**2 - 5/3*f**i - 1 - 5*f. Solve x(o) = 0.
1
Let a(t) be the first derivative of -80/9*t - 2/27*t**3 - 67 - 22/9*t**2. Factor a(n).
-2*(n + 2)*(n + 20)/9
Suppose -2 = -u + o, o - 552 = 2*u - 554. Solve 13/6*m**2 + 1/6*m**4 + 4/3*m**3 + u + m = 0.
-6, -1, 0
Suppose -14*j + 27 = -1. What is v in -5*v**j - 5*v - 4*v + 3*v + 2*v**2 = 0?
-2, 0
Factor 85443*f - 632 + 9*f**2 - f**2 - 82917*f.
2*(f + 316)*(4*f - 1)
Let l(m) be the first derivative of -5*m**4 - 5*m**3/3 + 232. Factor l(g).
-5*g**2*(4*g + 1)
Suppose -38 = -3*f + 2*z, 3*f - f - 29 = 5*z. Solve 16*g - f*g**2 + 6*g**4 + 9*g**3 - 43*g**3 + 12*g**3 = 0.
-1, 0, 2/3, 4
Suppose 2*w - 16 = 5*g - 0*g, 0 = 6*w - 48. Let d(m) be the second derivative of g + 1/20*m**4 - 12/5*m**2 - 35*m - 1/5*m**3. Factor d(y).
3*(y - 4)*(y + 2)/5
Let u be (-15)/65 - (-11 + (-4168)/(-416)). Suppose -u*v + 5/2 - 1/4*v**2 = 0. What is v?
-5, 2
Let t(g) be the first derivative of -96*g + 3/4*g**4 - 109 - 6*g**2 + 8*g**3. Factor t(l).
3*(l - 2)*(l + 2)*(l + 8)
Let l(x) be the third derivative of x**6/1260 + 2*x**5/105 + x**4/12 - 22*x**3/3 - 2*x**2 + 10*x. Let b(k) be the first derivative of l(k). Factor b(h).
2*(h + 1)*(h + 7)/7
Let x(y) be the third derivative of -y**5/90 + 1162*y**4/9 - 5400976*y**3/9 + 4253*y**2. Let x(p) = 0. Calculate p.
2324
Let a(f