et z be ((-4)/15)/(296/(-666))*10/3. Factor 1/7 + 2/7*y + 1/7*y**z.
(y + 1)**2/7
Let f(x) be the second derivative of 7*x**4/20 - 13*x**3/10 - 119*x + 17. Factor f(d).
3*d*(7*d - 13)/5
Let q(l) be the third derivative of -l**5/60 - 35*l**4/4 - 412*l**3/3 + 6298*l**2. Solve q(i) = 0.
-206, -4
Let c be (-8)/(-3)*(-2)/(-8)*2. Let v be 196/21 - (45/(-1))/(-5). Factor v - c*i**2 + i.
-(i - 1)*(4*i + 1)/3
Suppose 12*j = 7*j + 4*j + 4. Factor -9/7*i + 9/7*i**3 + 3/7*i**2 - 3/7*i**j + 0.
-3*i*(i - 3)*(i - 1)*(i + 1)/7
Let g(o) be the second derivative of o**6/30 + 7*o**5/60 - 61*o**4/36 + 11*o**3/6 + 3*o**2 + 1593*o. Suppose g(a) = 0. What is a?
-6, -1/3, 1, 3
Let r(f) = -2*f**4 - 10*f**3 - 12*f**2 + 10*f + 26. Let v(j) = 3*j**4 + 9*j**3 + 10*j**2 - 9*j - 27. Let o(p) = -7*r(p) - 6*v(p). Let o(w) = 0. What is w?
-1, 1, 5
Let t(l) be the first derivative of 20/7*l - 8/7*l**2 - 4/21*l**3 + 204. Factor t(d).
-4*(d - 1)*(d + 5)/7
Let z(u) be the third derivative of 11*u**5/40 + u**4/64 - 729*u**2. Factor z(l).
3*l*(44*l + 1)/8
Suppose -4*b + 11 = -1. Suppose -2*g + 4 + 6 = -3*d, 0 = -b*d. Let 8*l - 3*l - 13*l**5 - 25*l**3 + g*l**2 - 15*l**4 + 33*l**5 + 10*l**2 = 0. Calculate l.
-1, -1/4, 0, 1
Let b be 22 + -27 - 4*-1*42. Suppose -b*g + 162*g = -2. Solve 5/3*s + 2 + 1/3*s**g = 0.
-3, -2
Let j be (8 - 1)/(27608/464). Determine i, given that 0*i**2 + 6/17*i - j*i**3 - 4/17 = 0.
-2, 1
Let w(q) be the second derivative of -q**4/84 + 43*q**3/42 + 120*q**2/7 + 991*q. Determine x, given that w(x) = 0.
-5, 48
Factor -35*u**2 + 20*u**2 + 13*u**2 + 194*u - 39*u + 115*u.
-2*u*(u - 135)
Suppose -145*v + 135*v = -100*v + 180. Find t such that -1/3*t**4 + 2/3*t**3 + 0 - 1/3*t**v + 0*t = 0.
0, 1
Let q be 4/(-5)*((-2)/6 - 42/84). Let s(l) be the first derivative of -4*l + q*l**3 - 16 - l**2. Factor s(y).
2*(y - 2)*(y + 1)
Let -3/2*m**4 + 0*m**2 - m**5 - 1/2*m**3 + 0 + 0*m = 0. Calculate m.
-1, -1/2, 0
Let h = -1091703 + 1091705. Factor -1/6*r**3 + 0 + 14/3*r + h*r**2.
-r*(r - 14)*(r + 2)/6
Let p(q) be the third derivative of -q**7/7560 + 11*q**6/2160 - q**5/20 + 13*q**4/12 - q**2 - 38*q. Let j(o) be the second derivative of p(o). Factor j(k).
-(k - 9)*(k - 2)/3
Let g(w) be the second derivative of -w**4/12 + 136*w**3 - 83232*w**2 + 3*w - 473. Factor g(u).
-(u - 408)**2
Let m(f) be the third derivative of 5/6*f**3 - 5/1344*f**8 + 1/168*f**7 + 0 + 0*f + 5/96*f**6 - 5/24*f**4 - 42*f**2 - 5/48*f**5. Find c, given that m(c) = 0.
-2, -1, 1, 2
Let g = 1847 - 1196. Let t = 654 - g. What is b in 0 - 2/7*b + 1/7*b**t + 1/7*b**2 = 0?
-2, 0, 1
Let 2356/17*i**3 + 3010/17*i**2 + 14/17*i**4 + 0 + 668/17*i = 0. What is i?
-167, -1, -2/7, 0
Let h(w) = 3*w**2 + 3*w + 3. Let v(a) = -a**2 - a - 1. Let c(t) = 3*h(t) + 8*v(t). Let f(i) = 14*i**2 + 34*i - 54. Let l(p) = -10*c(p) + f(p). Solve l(b) = 0.
-8, 2
Let x(p) be the first derivative of 0*p - 140 - 1/6*p**4 + 16/9*p**3 - 7/3*p**2. Factor x(g).
-2*g*(g - 7)*(g - 1)/3
Let m(o) be the first derivative of -34 + 6/7*o**2 + 5/7*o**4 + 4/3*o**3 + 0*o + 4/35*o**5. What is p in m(p) = 0?
-3, -1, 0
Let m(x) be the third derivative of x**8/1344 + x**7/105 - x**6/40 - 7*x**5/15 - 4*x**4/3 - x**2 + 758*x - 1. Factor m(f).
f*(f - 4)*(f + 2)**2*(f + 8)/4
Suppose -b - k = -0*b + 1, 4*b - k = 11. Factor 2160*g - 51*g**2 + 8640 - 7*g**2 + 5*g**3 + 149*g**2 + 89*g**b.
5*(g + 12)**3
Suppose -5*g + 4 = -2*p, 3*g - 4*p = 5*g - 16. Let a(n) be the third derivative of 0*n**3 + 0*n - 1/120*n**6 - 1/12*n**4 - 1/20*n**5 - 15*n**g + 0. Factor a(k).
-k*(k + 1)*(k + 2)
Let u(a) be the second derivative of -1/10*a**6 - 9/10*a**5 - 142 + 2*a + 1/28*a**7 + 9*a**2 - 37/4*a**3 + 19/4*a**4. What is p in u(p) = 0?
-4, 1, 3
Let k(q) be the third derivative of 2*q**2 + 0*q + 1/450*q**5 - 38 - 1/90*q**4 + 1/45*q**3. Factor k(g).
2*(g - 1)**2/15
Let g(d) be the third derivative of -d**8/336 + d**7/105 + 7*d**6/30 + 23*d**5/30 + 7*d**4/8 + 653*d**2 - 4. Factor g(n).
-n*(n - 7)*(n + 1)**2*(n + 3)
Determine j, given that 97/6*j + 26/3*j**2 - 25 + 1/6*j**3 = 0.
-50, -3, 1
Let v = 80/13741 + 7804648/41223. Find f such that -4/3*f**2 - v*f - 20164/3 = 0.
-71
Let j = -311 - -313. Factor -6*c + 69 - 71 + c**2 + j.
c*(c - 6)
Let p be (-396)/400 + ((-15)/(-40))/(-3)*-8. Let x(c) be the third derivative of -1/120*c**4 + 8*c**2 + 0*c - 1/15*c**3 + 0 + p*c**5. Let x(g) = 0. Calculate g.
-2/3, 1
Let j be 3/((-126)/8)*-9. Let a = 2923727/2558255 - 1/365465. Factor 4/7*n**2 - j*n + a.
4*(n - 2)*(n - 1)/7
Let r(z) be the first derivative of 4/15*z**5 - 10/3*z**2 - 8/3*z + 1/3*z**4 - 4/3*z**3 + 207. Factor r(b).
4*(b - 2)*(b + 1)**3/3
Let t = 51277/4 - 12819. Let u(i) be the first derivative of 0*i + t*i**2 - 5 + 7/12*i**3. Factor u(c).
c*(7*c + 2)/4
Let b be (-11 - -15) + (0 - (-2 - -2)). Factor -12*j**5 - 5*j**4 - 20*j**2 + 6*j**b - 8*j + 3*j**4 + 16*j**5 - 12*j**3.
4*j*(j - 2)*(j + 1)**3
Solve -2356/9 - 2/9*n**2 + 46/3*n = 0 for n.
31, 38
Let s(d) be the first derivative of -3*d**4 + 1540*d**3/3 - 252*d**2 - 1024*d + 8864. Factor s(c).
-4*(c - 128)*(c - 1)*(3*c + 2)
Let i = 116811 - 116796. Factor -20/3 - i*k**2 - 20*k.
-5*(3*k + 2)**2/3
Let j(w) be the third derivative of 0 - 1/180*w**5 - 1/216*w**4 + 1/18*w**3 + 0*w + 1/1080*w**6 - 32*w**2. Suppose j(c) = 0. What is c?
-1, 1, 3
Let j = -544 - -545. Let a be j - (-66)/13 - 3. Find k such that 2/13*k**2 + a*k + 200/13 = 0.
-10
Let z(t) be the third derivative of t**6/80 + t**5/5 + 5*t**4/4 + 4*t**3 + 909*t**2 - 2. Determine g so that z(g) = 0.
-4, -2
Let a be (-18)/(-105)*((-14)/(-6) - (2 + 0)). Let j(h) be the first derivative of -a*h**5 - 3/14*h**4 + 0*h + 3/7*h**2 - 22 + 2/21*h**3. Factor j(t).
-2*t*(t - 1)*(t + 1)*(t + 3)/7
Suppose 723*t - 733*t + 200 = 0. Suppose -44*i**5 + 2*i**2 + 30*i**5 + 74*i**4 - 2*i**2 - t*i**3 = 0. Calculate i.
0, 2/7, 5
Factor 67/4*m - 1/4*m**2 - 33/2.
-(m - 66)*(m - 1)/4
Let s(d) be the second derivative of d**6/15 + 7*d**5/90 + d**4/36 - 3*d**2/2 + 40*d. Let i(y) be the first derivative of s(y). Factor i(o).
2*o*(3*o + 1)*(4*o + 1)/3
Let d be (-4 + 8)*2/4076. Let t = 2032/3057 + d. Determine n, given that -4/3*n**2 + 1/3*n**3 + 5/3*n - t = 0.
1, 2
Let h(s) be the third derivative of -s**6/40 + 6*s**5/5 - 244*s**2. Factor h(r).
-3*r**2*(r - 24)
Let p(g) be the first derivative of g**3/3 + 497*g**2/2 - 498*g - 2148. Find k such that p(k) = 0.
-498, 1
Let h be (-6)/57 - (8/(-6) + 33884/33687). Determine k so that -h*k**2 - 14/9 + 16/9*k = 0.
1, 7
Determine q so that -435/8*q + 297/8*q**2 + 891/8*q**3 + 81/2*q**4 + 75/8 = 0.
-5/3, 1/4, 1/3
Let j(f) be the third derivative of f**8/840 - 11*f**7/105 - f**6/300 + 11*f**5/30 + 41*f**2 + f + 3. Determine i so that j(i) = 0.
-1, 0, 1, 55
Determine t so that -30*t + 5 - 12 + 7 - 129*t**2 - t**3 + 146*t**2 = 0.
0, 2, 15
Let z(d) be the first derivative of d**5/3 - 11*d**4/6 + 23*d**3/9 - d**2 - 652. Factor z(j).
j*(j - 3)*(j - 1)*(5*j - 2)/3
Let r(c) be the first derivative of -1/8*c**4 + 0*c - 7/4*c**2 - 70 + 4/3*c**3. Solve r(f) = 0.
0, 1, 7
Let w(a) be the second derivative of 2/15*a**3 - 11/30*a**4 + 8/25*a**5 + 0*a**2 + 6 - 7/75*a**6 + 6*a. Let w(r) = 0. Calculate r.
0, 2/7, 1
Let m = 34 + -30. Find u, given that -4*u - 5*u**4 + u**4 + 4*u**3 - 4 + 3*u**2 + u**4 + 4*u**m = 0.
-2, -1, 1
Let k(h) = -h**3 + 5*h**2 + 149*h + 19. Let l be k(15). Suppose -3*y = -4*v + 5*v, -5*v + 5*y + 20 = 0. Factor 3 + v*z**2 + l - 4 + 9*z + 3.
3*(z + 1)*(z + 2)
Let h = 548 + -548. Let k(d) be the second derivative of h - 1/5*d**5 + 6*d**2 + 5/3*d**4 - 14/3*d**3 - 7*d. Factor k(w).
-4*(w - 3)*(w - 1)**2
Let l = -5258 - -5261. Let z(x) be the first derivative of 1/33*x**l - 1/22*x**2 + 0*x + 15. Suppose z(f) = 0. What is f?
0, 1
Let m be 5*((-156)/15)/(4/(-2)). Suppose 8 = -m*n + 30*n. Factor x - x**3 + 2 - 64*x**n + 31*x**2 + 31*x**2.
-(x - 1)*(x + 1)*(x + 2)
Factor -3/5*r**2 + 3297/5*r + 6606/5.
-3*(r - 1101)*(r + 2)/5
Let k(c) = -c**3 - 4*c**2 - 3*c + 3. Let u be k(-3). Suppose -10*o - o**u - 25*o**2 + 17*o**3 - 16 - 42*o + 77*o**2 = 0. Calculate o.
-4, -1/4, 1
Let k(i) be the second derivative of i**9/756 + 41*i**8/30240 + i**7/5670 + 145*i**4/12 - 110*i. Let r(m) be the third derivative of k(m). Factor r(j).
2*j**2*(5*j + 2)*(18*j + 1)/9
Let m(i) be the second derivative of 46/1