se 4*z + 357 = -3*l, -3*z = -4*l - z - 476. Let a be 17/l + 158/126. Factor 0 + 0*x - a*x**3 - 4/9*x**2 + 14/9*x**4.
2*x**2*(x - 1)*(7*x + 2)/9
Let -50/3 + 1/3*z**3 - 1/3*z + 50/3*z**2 = 0. Calculate z.
-50, -1, 1
Let l(n) = -n**2 - 10*n - 1. Let r be l(-10). Let o be -6 + 8 - (r - -1). Factor -42 + 6*c**2 - 3*c**o + 39.
3*(c - 1)*(c + 1)
Let 0 - 4*j**3 + 0*j + 2/5*j**4 + 18/5*j**2 = 0. Calculate j.
0, 1, 9
Factor 0 + 1/8*w**3 + 0*w + 1/8*w**5 - 3/4*w**2 + 1/2*w**4.
w**2*(w - 1)*(w + 2)*(w + 3)/8
Let l be (-5 - (-252)/54) + 10/3. Find i such that -10/3*i - 14/3*i**4 - 4/3 + 10/3*i**l + 6*i**2 = 0.
-1, -2/7, 1
Let n = -2009 + 22061/11. Let h = n + 125/33. Factor h - 1/3*t**3 - t + t**2.
-(t - 1)**3/3
Let b be (-60)/9 - 70/(-10). Factor -p + b*p**2 - 4/3.
(p - 4)*(p + 1)/3
Let x(j) be the third derivative of 7*j**6/720 - 43*j**5/40 + 55*j**4/72 + 4*j**2 - 38. Let x(i) = 0. Calculate i.
0, 2/7, 55
Let f(u) be the first derivative of -u**6/300 - 11*u**5/150 - 2*u**4/5 + 12*u**3/5 - 8*u**2 - 7. Let r(z) be the second derivative of f(z). Factor r(l).
-2*(l - 1)*(l + 6)**2/5
Let h = -1092 - -1099. Let g(r) be the first derivative of -16/25*r**5 - 6/5*r**4 - 3/5*r**3 - h - 1/10*r**2 + 0*r. Factor g(a).
-a*(a + 1)*(4*a + 1)**2/5
Let t be ((-21)/12)/((-6)/24). Suppose 3 = 5*w - t. Solve -2/7*p**3 + 2/7*p**w + 0 + 0*p = 0 for p.
0, 1
Let g be 45/(-36) + (-61)/(-4). Suppose g*a - 30 = -2. Factor -4/5*p**a - 4/5*p + 0.
-4*p*(p + 1)/5
Let f(a) be the third derivative of -a**10/40320 + a**9/10080 - 5*a**4/6 + 13*a**2. Let l(h) be the second derivative of f(h). What is n in l(n) = 0?
0, 2
Let u(b) be the first derivative of 2*b**5/35 + 11*b**4/14 + 933. Find k, given that u(k) = 0.
-11, 0
Suppose -11*n = -14*n - 69. Let t be 9/5 + n/(-115). Factor -27/7 + 15/7*p**t + 9/7*p + 3/7*p**3.
3*(p - 1)*(p + 3)**2/7
Let y = 1814 - 12694/7. Factor -y*v**2 - 6/7*v**3 - 2/7*v**4 + 0*v + 0.
-2*v**2*(v + 1)*(v + 2)/7
Let q(g) be the third derivative of -g**5/12 + 5*g**4/2 + 160*g**3/3 - 515*g**2. Factor q(v).
-5*(v - 16)*(v + 4)
Let h(d) be the second derivative of -d**6/240 - d**5/120 + d**4/24 - 6*d**2 - 9*d. Let y(n) be the first derivative of h(n). Factor y(r).
-r*(r - 1)*(r + 2)/2
Let o(h) = 68*h + 136. Let g be o(-2). Let k(a) be the second derivative of 1/6*a**4 + 0*a**2 + g - 2/3*a**3 + 1/5*a**5 - 9*a - 1/15*a**6. Solve k(n) = 0 for n.
-1, 0, 1, 2
Let i be ((-10)/24)/((-54)/864). Solve i + 4/3*q**2 - 8*q = 0.
1, 5
Suppose -5/3*a + 2/3*a**2 + 5/3*a**3 - 2/3 = 0. What is a?
-1, -2/5, 1
Let n = -1689 + 11825/7. Solve -n*b**3 + 32/7 - 16/7*b - 2*b**2 = 0 for b.
-4, 1
Let t(s) = -8*s**4 - 42*s**3 - 207*s**2 - 420*s - 310. Let r(x) = -9*x**4 - 42*x**3 - 207*x**2 - 420*x - 312. Let f(m) = -5*r(m) + 6*t(m). Factor f(b).
-3*(b + 2)**2*(b + 5)**2
Let x(a) be the first derivative of 4*a**5/5 + 3*a**4 + 8*a**3/3 + 46. Solve x(v) = 0.
-2, -1, 0
Let y(q) = 241*q - 1205. Let g be y(5). Factor g + 0*m + 3/2*m**2.
3*m**2/2
Suppose 0 = -0*b + 5*b + 5*w - 125, 0 = 2*w - 4. Let c = b + -20. Determine g, given that -g + 6*g - 2*g + 15*g**2 + 12*g**c = 0.
-1, -1/4, 0
Let k = -46 + 58. Let 23*v + k*v - 27*v - 14*v**3 + 24*v**2 = 0. Calculate v.
-2/7, 0, 2
Let b = 26 + 171. Factor 13 + 96*g**2 + 15*g**3 + b*g + 41 - 26*g.
3*(g + 3)**2*(5*g + 2)
Let p(f) be the first derivative of -2*f**3/9 + 199*f**2/3 - 549. What is r in p(r) = 0?
0, 199
Let b(i) = 2*i**3 + 6*i + 4. Let s(d) = -d**3 - d**2 - 6*d - 3. Let w be 2/11 + 485/55. Suppose 3*z - w = -0*z. Let c(v) = z*b(v) + 4*s(v). Factor c(k).
2*k*(k - 3)*(k + 1)
Let g(a) be the first derivative of 78/17*a**2 + 32/85*a**5 + 18/17*a + 52/17*a**4 + 386/51*a**3 + 20. Factor g(v).
2*(v + 3)**2*(4*v + 1)**2/17
Let j be (-24)/(-9)*(-3 + 0)/(-12). Factor 0*f + j*f**2 - 8/9 + 2/9*f**3.
2*(f - 1)*(f + 2)**2/9
Let 0 - 10/3*p**2 + 0*p - 7/3*p**4 + 37/3*p**3 = 0. What is p?
0, 2/7, 5
What is b in -4/7*b**2 - 2/7*b**4 + 1/7*b**5 + 0*b + 0 - b**3 = 0?
-1, 0, 4
Factor 6/7*t + 9/7 + 1/7*t**2.
(t + 3)**2/7
Let k(b) be the first derivative of -2*b**5/5 - 2*b**4 - 2*b**3 + 4*b**2 + 8*b + 40. What is s in k(s) = 0?
-2, -1, 1
Let h(g) = -11*g**3 - 2*g**2 + 8*g + 17. Let w(v) = -5*v**3 - v**2 + 4*v + 8. Let t(u) = -4*h(u) + 9*w(u). Factor t(k).
-(k - 2)*(k + 1)*(k + 2)
Let d(a) = -5*a**2 - 22*a - 3. Let k(p) = p - 1. Let g be ((-2)/8)/(8/(-25 + -7)). Let t(c) = g*d(c) - 3*k(c). Factor t(n).
-5*n*(n + 5)
Let f(c) be the first derivative of c**8/336 + c**7/42 + c**6/30 + 31*c**2/2 + 47. Let y(p) be the second derivative of f(p). Factor y(k).
k**3*(k + 1)*(k + 4)
Let t(z) be the second derivative of -z**4/36 + z**3/2 + 5*z**2/3 - 2*z + 9. Factor t(x).
-(x - 10)*(x + 1)/3
Let t(f) be the third derivative of f**11/665280 - f**10/604800 - f**9/241920 - 3*f**5/20 + 18*f**2. Let w(u) be the third derivative of t(u). Factor w(i).
i**3*(i - 1)*(2*i + 1)/4
Let u be (-138)/(-21) - (-10)/35. Let r be (-1 - 12/7) + (-3)/(-1). Factor -40/7*y**3 - u*y**2 - r - 18/7*y.
-2*(2*y + 1)**2*(5*y + 1)/7
Suppose 5 - 43 = -32*w + 58. Factor -w*r**2 + 0 + 0*r + 1/2*r**3.
r**2*(r - 6)/2
Factor 32/5 + 10*n**2 - 16*n.
2*(5*n - 4)**2/5
Let v(p) be the third derivative of -p**5/12 - p**4/4 - 3*p**3/10 - 103*p**2. Determine f, given that v(f) = 0.
-3/5
Let d(w) be the second derivative of -5*w**4/48 + 175*w**3/8 - 65*w**2 + 10*w + 3. Factor d(z).
-5*(z - 104)*(z - 1)/4
Let i = -9 + 5. Let o = -4 - i. Factor o - 4/3*w**4 - 4*w**3 - 4/3*w - 4*w**2.
-4*w*(w + 1)**3/3
Suppose 440 = -5*d + 5*r, -d - r + 21 = 109. Let s = 88 + d. Let 2/3*i + s + 2/3*i**3 - 4/3*i**2 = 0. Calculate i.
0, 1
Let q = 8133 + -8131. Find m, given that -486/5*m**q - 108/5*m - 729/5*m**3 - 8/5 = 0.
-2/9
Let q(f) be the second derivative of -f**4/144 + 49*f**3/36 + 33*f**2/8 + 21*f - 3. Find t such that q(t) = 0.
-1, 99
Let x(r) be the third derivative of 2*r**7/105 - r**6/15 + r**4/3 - 2*r**3/3 - 112*r**2. Factor x(h).
4*(h - 1)**3*(h + 1)
Let k(q) be the first derivative of -q**7/84 + q**6/30 + 3*q**5/40 + 19*q - 5. Let b(o) be the first derivative of k(o). Find t such that b(t) = 0.
-1, 0, 3
Suppose -3*v - 1 = 2. Let l(s) = -s**5 + s**3 - s - 1. Let q(u) = -5*u**3 + 4*u**5 - 1665*u + 4 + 1669*u - 1. Let r(c) = v*q(c) - 3*l(c). Solve r(x) = 0.
-1, 0, 1
Let y(w) be the first derivative of 0*w + 3/20*w**4 + 0*w**3 + 0*w**2 - 8. Factor y(a).
3*a**3/5
Let y(c) be the first derivative of 4*c**5/5 + 2*c**4 + 4*c**3/3 + 313. Factor y(l).
4*l**2*(l + 1)**2
Let k = 6436 - 44854/7. Let n = k + -28. Let 4/7*u**3 + 2/7*u**4 + n*u**2 + 0*u + 0 = 0. Calculate u.
-1, 0
Let p(y) be the third derivative of -y**9/7560 - y**8/3360 + y**7/1260 + y**6/360 - y**4/6 - 7*y**2. Let n(x) be the second derivative of p(x). Factor n(b).
-2*b*(b - 1)*(b + 1)**2
Find a, given that 85/2 - 40*a - 5/2*a**2 = 0.
-17, 1
Suppose -13 = -4*u - 5. Let o be -7 + 9 + 1*u. Suppose -3*s**3 - s - 5*s**2 + 5*s**4 + o*s**5 + 18 - 18 = 0. What is s?
-1, -1/4, 0, 1
Find a such that 201*a + 982*a - 122*a**3 - 1798*a**2 - 2*a**4 + 24*a + 715*a = 0.
-31, 0, 1
Suppose -17*p + 165 = -50*p. Let f be (-8)/p*3 + -4. Suppose 0*c + 0 + f*c**2 + 6*c**4 - 22/5*c**3 = 0. What is c?
0, 1/3, 2/5
Let f be ((-120)/(-630))/((-9)/(-63)). Factor -22/3*k**2 - f*k + 0.
-2*k*(11*k + 2)/3
Determine v so that 3*v**5 - 29*v + 23*v**3 + 8*v**4 - 43*v + 28*v**2 - 2*v**5 + 84*v = 0.
-3, -2, -1, 0
Let m be 0 + 1/1 + 16 + -19. Let o be (m*1/(-12))/(28/294). Factor -7/2*d**2 + 3*d**4 + o*d**5 - 3/4*d - d**3 + 1/2.
(d - 1)*(d + 1)**3*(7*d - 2)/4
Factor 5443*q + 0*q**2 - 5853*q - 185 - 6*q**2 + 49.
-2*(q + 68)*(3*q + 1)
Let h(l) be the second derivative of -l**4/18 - 11*l**3/3 - 260*l - 1. Suppose h(z) = 0. Calculate z.
-33, 0
Let b(s) = -s**3 - s**2 - 4. Let t(w) = -2*w**3 - 2*w**2 - 11. Let o(r) = 11*b(r) - 4*t(r). Factor o(y).
-3*y**2*(y + 1)
Factor q + 17*q**2 - 2*q**2 - q**2 + 50*q - q**3 + 0*q.
-q*(q - 17)*(q + 3)
Let p(t) = t + 4. Let g be p(-4). Let r be (0 + 1/(-3))*g. Suppose -2*x - 2 - 2*x**2 - 3*x + x + r*x = 0. Calculate x.
-1
Let i = 2916 + -8732/3. Suppose 4/3*u + 4*u**3 - i*u**5 + 0 + 20/3*u**4 - 20/3*u**2 = 0. Calculate u.
-1, 0, 1/4, 1
Factor 200/11*f + 2/11*f**3 + 0 + 50/11*f**2.
2*f*(f + 5)*(f + 20)/11
Let -5*y**3 + 12*y + 48*y + 185*y**2 - 165*y**2 = 0. What is y?
-2, 0, 6
Let t(l) b