 + 3 + 15*i**3 - 3*i**2 - 3*i - 6*i**3. Let y be n(4). Factor -19 - y*l - 72 - 3*l**2 + 16 + 37*l.
-3*(l - 5)**2
Let b(q) be the first derivative of -q**3/3 + 707*q**2/6 - 470*q/3 + 1983. Factor b(c).
-(c - 235)*(3*c - 2)/3
Let o(r) = 4*r - 20. Suppose -3*t - 12 = n + 2*t, -3*n - 5*t + 4 = 0. Let q be o(n). Factor -44*l**2 - q + 2*l**3 + 19*l**3 - 5*l**3 + 40*l.
4*(l - 1)**2*(4*l - 3)
Let d be (-1)/(35/(-2) + 51/3). Solve 2/13*x**2 + 24/13 + d*x = 0.
-12, -1
Let w(j) be the third derivative of -1/540*j**6 + 0 + 174*j**2 + 0*j - 5/108*j**4 - 4/135*j**5 + 50/27*j**3. Solve w(k) = 0.
-5, 2
Factor 103*h**2 - 58*h**2 - 10850436 - 13176*h - 49*h**2.
-4*(h + 1647)**2
Let t(j) = -39258*j - 824417. Let u be t(-21). Suppose 1 = -l + 4. Factor 1/4*a**4 + 13/4*a**2 + u + 3/2*a**3 + l*a.
(a + 1)**2*(a + 2)**2/4
Let v(k) = -5*k - 4 + 7 + 8*k**2 + 20*k**2. Let a(d) = -56*d**2 + 9*d - 7. Let g(f) = 24*f + 51. Let u be g(-2). Let s(t) = u*a(t) + 7*v(t). Factor s(n).
4*n*(7*n - 2)
Determine g, given that -59*g**2 - 74*g**2 - 256 + 380*g - 2*g**3 + 11*g**2 = 0.
-64, 1, 2
Let g(a) = -13*a**3 - 72*a**2 - 949*a - 2126. Let j(c) = -18*c**3 - 96*c**2 - 1265*c - 2834. Let d(q) = -11*g(q) + 8*j(q). Factor d(h).
-(h - 34)*(h + 3)*(h + 7)
Let x(r) be the third derivative of -r**5/240 + 11*r**4/4 + 265*r**3/24 - 1310*r**2 + r. Find n, given that x(n) = 0.
-1, 265
Suppose -11 + 32 = 2*w - l, -3*l + 47 = 5*w. Let y be ((-134)/w - -14)*(3 + 2). Factor -8/11*t**2 + 8/11 - 2/11*t + 2/11*t**y.
2*(t - 4)*(t - 1)*(t + 1)/11
Let p(l) be the first derivative of -9*l**2 - 23 + 1/2*l**4 - 18*l + 2/3*l**3. Factor p(v).
2*(v - 3)*(v + 1)*(v + 3)
Let r = 841 - 838. Suppose 0 = 2*j - 0*j - 3*f + 5, -f = r*j - 9. Factor 40/7*h**j - 6/7*h**3 + 20/7 - 54/7*h.
-2*(h - 5)*(h - 1)*(3*h - 2)/7
Let x(v) be the third derivative of v**6/160 - v**5/8 + 17*v**4/32 - v**3 + 2*v**2 - 395. Solve x(n) = 0 for n.
1, 8
Let h(i) be the second derivative of -5*i**4/12 + 490*i**3 + 2945*i**2/2 + 805*i. Factor h(r).
-5*(r - 589)*(r + 1)
Let h be (6 + (-363)/55)*(0 - -2636). Let j = h + 1604. Let j*q**2 + 6/5*q**4 + 0 + 32/5*q + 10*q**3 = 0. Calculate q.
-4, -1/3, 0
Factor -1/2*w**3 + 29/4*w**2 + 0 + 15/2*w - 1/4*w**4.
-w*(w - 5)*(w + 1)*(w + 6)/4
Let c(s) = 9*s**2 - 106*s - 4. Let a(n) = 26*n**2 - 319*n - 11. Let j = -366 + 355. Let p(k) = j*c(k) + 4*a(k). Factor p(w).
5*w*(w - 22)
Let p(n) = 10*n**2 + 18*n - 156. Let i(s) = s**2 - 28*s + 164. Let h be i(10). Let j(f) = 2*f**2 + 4*f - 31. Let v(c) = h*j(c) + 3*p(c). Factor v(d).
-2*(d - 2)*(d + 7)
Let l(d) be the second derivative of -d**6/30 + 191*d**5/10 - 3040*d**4 - 191*d**3/3 + 36481*d**2/2 - 2892*d. What is c in l(c) = 0?
-1, 1, 191
Let r be 2188 - 2 - 5/(-5). Suppose -r - 100*u + 5828*u**2 - 62*u - 5831*u**2 = 0. What is u?
-27
Let y be 5/((-75)/132) - 135/(-14 + -1). Factor 0 - y*x**4 - 2*x**2 + 0*x - 11/5*x**3.
-x**2*(x + 1)*(x + 10)/5
Let u(s) be the first derivative of 11/18*s**4 + 8/9*s**3 + 2/15*s**5 + 4/9*s**2 - 105 + 0*s. Let u(m) = 0. What is m?
-2, -1, -2/3, 0
Let y be (-27)/(-1380)*5*(-28)/6. Let t = y + 203/92. Factor 5/4*n**4 - 3/4*n**2 - 1/2 - t*n + 7/4*n**3.
(n - 1)*(n + 1)**2*(5*n + 2)/4
Let q(k) = -1593*k**2 + k + 4. Let x be q(0). Let u(d) = -d + 1. Let z be u(-1). What is o in -15/4*o**2 - 1/4*o**x + 2*o**3 - z*o + 4 = 0?
-1, 1, 4
Let b(h) be the second derivative of 0 - 1/3060*h**6 - 10/3*h**3 - 20*h + 0*h**2 - 1/1020*h**5 + 0*h**4. Let l(v) be the second derivative of b(v). Factor l(k).
-2*k*(k + 1)/17
Let t(w) = w**3 - 28*w**2 - 61*w + 45. Let y be t(30). Solve y*d**4 + 646*d**2 + 0*d**4 - 733*d**2 + 3*d**5 + 72 + 6*d - 9*d**3 = 0.
-4, -3, -1, 1, 2
Let d be 2/14 + ((-10386)/(-63) - -5). Suppose -40*x - 85*x + 10 + d*x**2 - 16*x**3 - 25*x**3 - 14*x**3 = 0. Calculate x.
1/11, 1, 2
Let s be 12 + 2 - (-1 - -8). Suppose 11 + 39*c - 3 + s*c**2 - 4*c**2 + 14 + 14 = 0. Calculate c.
-12, -1
Let s(q) be the third derivative of 1/60*q**6 - 28/9*q**3 - 4/9*q**4 + 1/18*q**5 - 2*q**2 + 0 + 60*q. Factor s(g).
2*(g + 2)**2*(3*g - 7)/3
Suppose 14*f = -134*f - 6*f + 616. Let d(p) be the first derivative of 0*p**2 - 1/22*p**f + 0*p + 4/33*p**3 - 29. Suppose d(j) = 0. Calculate j.
0, 2
Let q be 1764/34692 + (-342)/(-236). Let r = 253/2 + -122. Suppose 9/2*i**3 + q*i + 0 + r*i**2 + 3/2*i**4 = 0. Calculate i.
-1, 0
Let q(v) be the third derivative of -v**6/180 - v**5/10 - 3*v**4/4 + 35*v**3/6 - 68*v**2. Let a(m) be the first derivative of q(m). Solve a(f) = 0.
-3
Suppose -259*k = 33*k - 584. Let u(w) be the first derivative of -34 - 2/7*w**3 + 4/7*w + 1/7*w**k. Let u(v) = 0. What is v?
-2/3, 1
Let r(t) be the first derivative of 7*t**5/20 + 17*t**4/3 - 97*t**3/6 + 11*t**2 + 65*t - 72. Let v(o) be the first derivative of r(o). Factor v(z).
(z - 1)*(z + 11)*(7*z - 2)
Let g(j) = 6 - 4 + 2*j**2 - 11*j + 35*j. Let d be g(-12). Factor 11*x**4 - 3*x + 5*x**3 - 26*x**4 - 7*x + 15*x**d + 5*x**5.
5*x*(x - 2)*(x - 1)**2*(x + 1)
Let y(k) be the second derivative of -2*k - 17/15*k**5 + 44/9*k**2 - 52 - 1/15*k**6 - 25/54*k**4 + 92/27*k**3. Find q, given that y(q) = 0.
-11, -2/3, 1
Suppose -501*k + 496*k = -30. Suppose 0 = 3*u + k, 0 = 4*i - i - 3*u - 6. Factor -2/9*d - 50/9*d**3 + i + 20/9*d**2.
-2*d*(5*d - 1)**2/9
Let f(y) = -224*y - 1792. Let s be f(-8). Let w = 13/4 + -11/4. Factor w*j**3 + s + 3/2*j**2 + j.
j*(j + 1)*(j + 2)/2
Let g(c) = -15*c - 13. Let d be g(-3). Suppose d*h**3 + 66*h**2 - 23 - 18*h**2 - 10*h**4 - 32*h - 627*h**5 - 9 + 621*h**5 = 0. What is h?
-2, -2/3, 1, 2
Suppose -5*j - 56 = 2*h, 0 = 5*h + 226*j - 231*j - 70. Factor h*n**4 - 2/3 + 4/3*n**3 + 2/3*n**5 - 2*n - 4/3*n**2.
2*(n - 1)*(n + 1)**4/3
Factor -1/8*w**2 + 145/2 - 579/8*w.
-(w - 1)*(w + 580)/8
Let -14*u**4 + 7*u**2 - 12*u**3 + 386*u - 186*u - 3*u**2 + 10*u**2 - 188*u = 0. What is u?
-1, -6/7, 0, 1
Let w(v) be the third derivative of 16*v**7/1995 + 14*v**6/285 - 9*v**5/38 - 25*v**4/114 + 125*v**3/57 + 9*v**2 + 241*v - 2. Solve w(h) = 0.
-5, -1, 5/4
Let k = -126 + 51. Let d be (4/34)/(k/(-425)). Factor 0*o - 2*o**5 + 0 + d*o**3 + 8/3*o**4 - 4/3*o**2.
-2*o**2*(o - 1)**2*(3*o + 2)/3
Suppose -3*c - o = 1093, -727 = 4*c - 3*o + 713. Let g be (-22)/(-8) - (c/44 - -9). Suppose 9/7 + 6/7*r - 3/7*r**g = 0. What is r?
-1, 3
Solve 3/4*s**2 - 333/4*s - 84 = 0.
-1, 112
Let f(l) be the first derivative of -l**3/3 - 209*l**2 + 7378. Determine x, given that f(x) = 0.
-418, 0
Find a such that 0 + 32/21*a + 2/21*a**5 - 16/21*a**3 + 0*a**4 + 0*a**2 = 0.
-2, 0, 2
Let r(c) = c**2 - 6*c + 6. Let o be r(7). Suppose 0 = -3*b + 5*m + 13 + o, -5*b - 4*m = 6. Factor 3*z + 16 + 2*z**2 + 13*z + b*z**2.
4*(z + 2)**2
Suppose -884*s + 176 + 41*s**3 + 158*s**2 - 68*s**2 - 50*s**3 + 326*s**2 = 0. What is s?
2/9, 2, 44
Let k(a) = 8*a**5 + 113*a**4 - 114*a**3 - 21. Let c(m) = 2*m**5 + 38*m**4 - 38*m**3 - 6. Let j(d) = -7*c(d) + 2*k(d). Factor j(p).
2*p**3*(p - 19)*(p - 1)
Let r(g) be the first derivative of 3/8*g**4 - 17 + 0*g**2 + 0*g**5 - 1/12*g**6 + 1/3*g**3 + 0*g. Solve r(h) = 0 for h.
-1, 0, 2
Suppose -2*q + 46 = 4*m - 7*q, -2*m - 5*q = -8. Suppose 11 = i + m. Determine h, given that 4/7*h + 13/7*h**3 + 0 + 6/7*h**4 + 12/7*h**i + 1/7*h**5 = 0.
-2, -1, 0
Determine g so that -2/15*g**2 - 124/15*g - 94 = 0.
-47, -15
Let u be 8 + ((-62)/18*-6)/(48/(-18)). Factor -w**3 + 0 + 0*w**2 + 0*w - u*w**4.
-w**3*(w + 4)/4
Let g(c) be the second derivative of 3/4*c**5 - 4*c**3 - 1/14*c**7 - 1/10*c**6 + 39*c + 6*c**2 + 0 + 1/4*c**4. Factor g(b).
-3*(b - 1)**3*(b + 2)**2
Suppose -6*r + 10 = -7*f + 3*f, -68*r = -73*r + 15. Factor -8/3 + 2/3*z**f + 0*z.
2*(z - 2)*(z + 2)/3
Suppose -23*w**2 - 35/3 - 29*w - 17/3*w**3 = 0. Calculate w.
-35/17, -1
Factor -180 + 2/5*b**2 - 898/5*b.
2*(b - 450)*(b + 1)/5
Let x = -7147/111 + 2407/37. Find c, given that -13718/3*c - x*c**5 - 760*c**3 - 15884/3*c**2 - 116/3*c**4 + 0 = 0.
-19, -1, 0
Factor -30/19 - 34/19*d**2 - 62/19*d - 2/19*d**3.
-2*(d + 1)**2*(d + 15)/19
Let j be (-1 - (-4 - 18))*4. Let r be (140/j)/((-5)/(-6)). Factor -13*s**r + 4*s - 7*s + 16*s**2.
3*s*(s - 1)
Let y be 42/8 - 55/44. Factor -26*b**4 + 27*b**4 - 40*b - b**5 + 70*b - y*b**2 - 38*b + 6*b**3.
-b*(b - 2)**2*(b + 1)*(b + 2)
Let k be (-646)/816*6/10. Let m = k - -467/40. Let -4/5 + m*i**3 - 6/5*i + 54/5*i**2 = 0. Calculate i.
-1