2)*(u + 1)/11
Let i(y) = -4*y - 11. Let z be i(-4). Suppose 7*w - 10*w - 4*p + 26 = 0, w - 27 = -z*p. Factor w*d**2 - 4/9 - 2/3*d.
2*(3*d - 2)*(3*d + 1)/9
Let y(q) = -2*q**2 - 11*q - 9. Let x be y(-4). Suppose 0 = x*a + 2*a. Factor -6*k**3 + a*k**2 + 3*k**2 + 5*k**3 - 4*k**2.
-k**2*(k + 1)
Let g - 9*g**2 - 3*g**3 - g - 7*g**2 + 13*g**2 = 0. Calculate g.
-1, 0
Let l(c) be the second derivative of c**4/18 - 80*c**3/9 + 79*c**2/3 + 3*c + 141. Find h such that l(h) = 0.
1, 79
Let s(m) be the first derivative of 7*m + 0*m**2 - 3/10*m**5 + 0*m**3 - 3 + 1/10*m**6 + 1/4*m**4. Let o(l) be the first derivative of s(l). Factor o(j).
3*j**2*(j - 1)**2
Let i = 22929737/58666104 + 5/232802. Let h = i - -3/56. Factor 2/9*n - 2/9*n**2 + h.
-2*(n - 2)*(n + 1)/9
Let n(a) be the first derivative of -20*a - 12*a**2 - 4/3*a**3 - 8. Factor n(s).
-4*(s + 1)*(s + 5)
Factor 12*h + 160 - 19*h**2 + 10*h**3 - h - 41*h**2 - 36*h + 5*h**4 - 15*h.
5*(h - 2)**2*(h + 2)*(h + 4)
Let z(a) be the second derivative of a**7/42 - 2*a**6/15 + 7*a**4/6 - 17*a**3/6 + 3*a**2 + 22*a + 5. Factor z(m).
(m - 3)*(m - 1)**3*(m + 2)
Find n such that 5*n**3 + 5*n**2 + 15 - 31*n - 15*n - 4*n + 25*n = 0.
-3, 1
Let p(u) be the second derivative of u**5/16 + 30*u**4 + 5760*u**3 + 552960*u**2 + 52*u. Suppose p(w) = 0. Calculate w.
-96
Let a(x) be the first derivative of -2*x**7/77 + 7*x**6/165 - x**5/55 + 7*x - 13. Let o(s) be the first derivative of a(s). Factor o(p).
-2*p**3*(2*p - 1)*(3*p - 2)/11
Let d be 26/(-8) + 24/2*12/36. Find w, given that -d + 3/2*w - 3/4*w**2 = 0.
1
Let k(q) be the third derivative of q**6/60 - 9*q**5/10 + 25*q**4/6 - 11*q**2 - 6*q. Solve k(x) = 0 for x.
0, 2, 25
Factor 8/15*g + 8/5 - 2/15*g**2.
-2*(g - 6)*(g + 2)/15
Find i such that -2/7*i**3 + 3*i**2 + 6 - 61/7*i = 0.
1, 7/2, 6
Let g = 109060/951 - 4/317. Let x = g + -114. Solve 1/3*d**5 + 0 + 2/3*d**4 + 0*d**3 - x*d**2 - 1/3*d = 0.
-1, 0, 1
Let z be (-6)/(-16) - ((-255)/(-40) + -6). Let s be z + -1 + 8/18*3. Suppose 0*a - s*a**2 + 0 = 0. What is a?
0
Suppose -2*m - 3*g = 2*g - 61, 0 = 3*m + 4*g - 74. Suppose -5*a - 13*b + m*b = -5, 0 = -2*b + 2. What is r in 0*r + 0 + 2/9*r**a - 11/9*r**3 + r**4 = 0?
0, 2/9, 1
Let w(g) be the third derivative of g**5/60 - 7*g**4/24 - 4*g**3/3 + 44*g**2. Solve w(f) = 0.
-1, 8
Let y(p) be the third derivative of p**8/112 - p**6/40 + 445*p**2. Solve y(s) = 0 for s.
-1, 0, 1
Let f(y) be the first derivative of 5/4*y**3 - 3/4*y**4 + 0*y - 4 - 3/8*y**2. Let f(j) = 0. Calculate j.
0, 1/4, 1
Let y be 5/((-15)/18) - 1. Let p = 9 + y. Solve 0*n**2 + n - 2*n**3 + n**5 - 1 - 4*n**4 + 0*n**2 + 3*n**4 + p*n**2 = 0.
-1, 1
Let u(q) be the first derivative of -q**6/18 + 2*q**5/15 + q**4/12 - 2*q**3/9 - 161. Determine n, given that u(n) = 0.
-1, 0, 1, 2
Determine m so that 25*m**4 + 3*m**3 - 3*m**3 - 22*m**4 - 3*m**3 = 0.
0, 1
Solve -25*o**3 - 135*o**2 + 245*o + 545*o - 46*o + 360 + 106*o = 0 for o.
-9, -2/5, 4
Let k(h) be the third derivative of -h**6/180 + h**5/45 + 7*h**4/36 + 4*h**3/9 - 13*h**2. Factor k(i).
-2*(i - 4)*(i + 1)**2/3
Let f(t) be the second derivative of 0*t**2 + 0*t**3 + 0*t**5 - 1/112*t**7 + 0*t**6 - t + 0*t**4 + 6. Factor f(u).
-3*u**5/8
Suppose -2*s = -4*k + 114, 5*s + k + 215 = -103. Let r = 129/2 + s. Factor 1/4*j**2 + r*j + 9/4.
(j + 3)**2/4
Let n be -6*3/27 - 102/(-45). Factor 2*s**2 + n*s**3 + 0 + 2/5*s**4 + 4/5*s.
2*s*(s + 1)**2*(s + 2)/5
Factor 38/5*v**2 + 0 + 14/5*v**3 - 12/5*v.
2*v*(v + 3)*(7*v - 2)/5
Let h be 25/(-16)*70/(-525). Let u(l) be the second derivative of 1/4*l**2 - h*l**3 + 5*l + 0 - 1/120*l**6 + 1/80*l**5 + 1/16*l**4. Factor u(r).
-(r - 1)**3*(r + 2)/4
Let o(m) be the second derivative of -1/36*m**4 + 0 + 5/6*m**2 - 6*m - 2/9*m**3. Factor o(g).
-(g - 1)*(g + 5)/3
Let h be 15/(-12)*(24/(-105))/1. Factor 2/7*m**4 + h*m**3 + 0 + 0*m**2 + 0*m.
2*m**3*(m + 1)/7
Let s(b) be the third derivative of 25/24*b**4 - 3/4*b**5 + 0*b + 23*b**2 + 10/3*b**3 + 0. What is o in s(o) = 0?
-4/9, 1
Let w(z) = -25*z**2 + 8*z + 28*z - 904 + 889 + 10*z**3 - 6*z. Let q(x) = 9*x**3 - 24*x**2 + 29*x - 14. Let u(r) = -5*q(r) + 4*w(r). Solve u(d) = 0.
1, 2
Let d(n) be the second derivative of 42*n - 5/3*n**7 - 8/7*n**2 - 92/15*n**6 + 4/21*n**3 + 101/21*n**4 + 0 - 209/70*n**5. Solve d(k) = 0.
-2, -1, -1/5, 2/7
Let p(q) be the third derivative of 1/27*q**3 + 4*q**2 - 1/270*q**5 + 1/135*q**6 + 0 - 1/27*q**4 + 0*q. Suppose p(w) = 0. What is w?
-1, 1/4, 1
Let s be (((-272)/112)/(-17))/((-10)/14 - -1). Factor -4 - 7/2*j + s*j**2.
(j - 8)*(j + 1)/2
Let r(l) be the second derivative of -1/13*l**2 - 4/39*l**3 - 3*l - 2/65*l**5 - 1/13*l**4 + 0 - 1/195*l**6. Factor r(n).
-2*(n + 1)**4/13
Let n(x) be the first derivative of x**7/3780 - x**6/810 + x**5/540 + 6*x**3 + 12. Let u(y) be the third derivative of n(y). Factor u(o).
2*o*(o - 1)**2/9
Suppose -1/2 + 7/8*k**2 + 9/8*k**5 - 2*k + 43/8*k**3 - 39/8*k**4 = 0. Calculate k.
-1/3, 1, 2
Let g = 140 + -146. Let c(i) = i**3 - 2*i**2 - i - 4. Let d(w) = w**2 + 1. Let a(o) = g*d(o) - 2*c(o). Solve a(l) = 0.
-1, 1
Let -29/10*m**3 - 49/10*m + 0 + 1/5*m**4 + 56/5*m**2 = 0. Calculate m.
0, 1/2, 7
Let p(q) = 26*q**2 - 752*q - 56. Let t be p(29). Find s such that -1/3*s**3 + 1/3*s**t - 1/3 + 1/3*s = 0.
-1, 1
Let a = 1809 - 3609/2. Factor -1 - a*b**2 + 11/2*b.
-(b - 1)*(9*b - 2)/2
Let r be -10 + ((-8)/14)/(42/(-1134)). Factor 145/7*p**3 - r*p**2 - 52/7*p - 88/7*p**4 + 16/7*p**5 - 8/7.
(p - 2)**3*(4*p + 1)**2/7
Let f(m) = 4*m**2 + 8 - 10 + 1 - 3*m**2. Let v(w) = -3*w**2 + 6*w + 9. Let t(o) = -o - 1. Let x be t(-2). Let h(g) = x*v(g) + 6*f(g). Factor h(r).
3*(r + 1)**2
Let d(p) be the third derivative of p**5/300 + 2*p**4/3 + 160*p**3/3 + 2*p**2 - 28. Factor d(o).
(o + 40)**2/5
Suppose -12*d = -7*d - 10. Suppose d*b - 2*b = -7*b. Factor 0*a + 2/5*a**2 + b.
2*a**2/5
Let y = -10473 - -10476. Determine n so that 3/4*n**4 - y*n**3 + 3/4 + 9/2*n**2 - 3*n = 0.
1
Suppose 22*x - 2*x**3 + 8*x**3 - 18*x + x**3 + 16*x**2 = 0. Calculate x.
-2, -2/7, 0
Let t(x) = x**4 + x + 1. Let h(p) = p**5 - 10*p**4 + 21*p**3 - 18*p**2 - 2*p - 2. Let c(u) = -3*h(u) - 6*t(u). Factor c(l).
-3*l**2*(l - 3)**2*(l - 2)
Let v(p) = 16*p + 16. Let c be v(-1). Suppose -2*x = -8*x. Let c*h + 2/5*h**2 + x = 0. What is h?
0
Let k(j) = 16*j**2 + 12*j - 4. Let u(n) = -n**2 - 1. Suppose 0 = -9*f + 14*f - 5. Let g(i) = f*k(i) + 12*u(i). Factor g(y).
4*(y - 1)*(y + 4)
Let k(q) be the second derivative of -q**5/20 + 2*q**3/3 - 74*q + 3. What is t in k(t) = 0?
-2, 0, 2
Let q = 66/49 + -662/637. Find k such that 0 + 2/13*k**2 + 2/13*k**3 - q*k = 0.
-2, 0, 1
Let y = 11832 + -11830. Find z such that 0*z + 0 + 2/7*z**4 + 4/7*z**5 - 2/7*z**y - 4/7*z**3 = 0.
-1, -1/2, 0, 1
Suppose 3*m + 9 = 4*p, -3*m = -25 + 22. Determine s, given that -1/3*s + 1/3*s**p - 2/3*s**2 + 2/3 = 0.
-1, 1, 2
Let r(n) be the third derivative of 7*n**7/240 - 7*n**6/12 + 19*n**5/20 - 2*n**4/3 - 19*n**3/3 - 7*n**2. Let d(g) be the first derivative of r(g). Factor d(m).
(m - 8)*(7*m - 2)**2/2
Let u(i) be the third derivative of i**6/120 + i**5/5 + 15*i**4/8 + 25*i**3/3 + 25*i**2 - i. Factor u(y).
(y + 2)*(y + 5)**2
Let d(y) be the first derivative of y**4/2 - 4*y**3 - 96*y**2 + 1280*y + 25. Let d(i) = 0. Calculate i.
-10, 8
Let u(t) be the third derivative of t**5/3 - 5*t**4/8 - 5*t**3/6 - 72*t**2. Solve u(n) = 0.
-1/4, 1
Let u(a) be the first derivative of -37/15*a**3 + 7/30*a**6 + 37/25*a**5 - a**2 + 10 + 3/20*a**4 + 0*a. Solve u(n) = 0 for n.
-5, -1, -2/7, 0, 1
Let f(o) be the third derivative of -o**6/120 + o**5/6 - o**4/3 - 7*o**3/6 + 5*o**2. Let q be f(9). Factor 12*u**3 - 10*u**2 - 3*u**4 - 3 + 13*u - 8*u**q - u.
-3*(u - 1)**4
Suppose -5*j - a + 4 - 29 = 0, 10 = -2*j + 4*a. Let n = j - -4. Let g(s) = 1. Let y(l) = -2*l**2 - 2*l + 5. Let t(x) = n*y(x) + 5*g(x). Factor t(u).
2*u*(u + 1)
Factor 2/17*v + 12/17 - 2/17*v**2.
-2*(v - 3)*(v + 2)/17
Let m be -1*1*(-7 + 7). Suppose -5*x - 3*g + 40 = 2*g, x - 2*g + 4 = m. Suppose 2/5*c**3 - 4/5 - 6/5*c**x + 6/5*c + 18/5*c**2 = 0. What is c?
-1, 1/3, 2
Let q(m) = m**3 + m**2 - 1. Let j(r) = 9*r**3 + 64*r**2 + 240*r + 316. Let b(d) = j(d) - 4*q(d). Find v such that b(v) = 0.
-4
Let b(n) = -17*n**3 - 1635*n**2 - 178221*n - 6475139. Let v(k) = -100*k**3 - 9810*k**2 - 1069325*k - 38850835. Let s(i) = 3