 9 + 24*c**2 + 6*c**3 = 0. Calculate c.
-2, 1
Let l(s) be the first derivative of 3 + 1/3*s**3 + 1/1800*s**6 + 0*s**4 + 0*s**2 - 1/300*s**5 + 0*s. Let m(t) be the third derivative of l(t). Factor m(d).
d*(d - 2)/5
Let t(k) be the first derivative of k**6/15 + k**5/2 + 4*k**4/3 + 4*k**3/3 - 7*k + 6. Let q(u) be the first derivative of t(u). Factor q(i).
2*i*(i + 1)*(i + 2)**2
Factor 88/3*p - 2/3*p**2 - 968/3.
-2*(p - 22)**2/3
Let k(b) be the third derivative of 35*b**8/144 + 17*b**7/45 + 19*b**6/90 + 2*b**5/45 - 158*b**2. Factor k(d).
d**2*(5*d + 2)*(7*d + 2)**2/3
Let g(s) be the first derivative of -12 - 9*s - 2/9*s**3 + 1/36*s**4 + 1/2*s**2. Let d(c) be the first derivative of g(c). Determine j, given that d(j) = 0.
1, 3
Let n = -37/21 + 227/105. Suppose -2/5*y**2 + n*y + 0 = 0. What is y?
0, 1
Let c be (-10)/(-6) - (-8)/24. Suppose c*s - 39 + 9 = 0. Factor 3*u**3 - 2*u**2 - s*u - u**2 - 9 + 0*u**2.
3*(u - 3)*(u + 1)**2
Let a(g) = g**5 - g**2 - 1. Let w = -38 - -37. Let j(m) = -8*m**5 + 20*m**4 - 32*m**3 + 20*m**2 + 4. Let l(y) = w*j(y) - 4*a(y). Let l(i) = 0. What is i?
0, 1, 2
Let l(x) be the second derivative of 1/210*x**7 + 9*x + 0 + 0*x**2 - 1/15*x**4 + 3/50*x**5 - 2/75*x**6 + 1/30*x**3. Let l(a) = 0. What is a?
0, 1
Let z(s) be the first derivative of s**3/3 + 5*s**2/2 - 6*s - 75. Let z(k) = 0. What is k?
-6, 1
Suppose -20*m = -24*m + 128. Let u be (3 - 2)*m/176. Determine o, given that 0 + 2/11*o**3 - u*o**4 + 2/11*o**2 - 2/11*o = 0.
-1, 0, 1
Find q such that 9/2*q**3 - 27/2 + 3/4*q**5 - 15*q**2 - 117/4*q + 9/2*q**4 = 0.
-3, -1, 2
Suppose -n = 3*t - 4, 3*n + 4 = t - 4. Let v(a) be the second derivative of -1/6*a**2 + 0 - 1/9*a**3 - t*a - 1/36*a**4. Suppose v(q) = 0. What is q?
-1
Let f(k) be the third derivative of 7*k**2 - 2/15*k**5 + 0*k**4 + 2/105*k**7 + 2/3*k**3 + 0*k + 0 + 0*k**6. Factor f(d).
4*(d - 1)**2*(d + 1)**2
Let n(t) = -t**5 + t**4 - 2*t**2. Let m(x) = -10*x**5 - 75*x**4 - 100*x**3 - 30*x**2. Let j(q) = m(q) + 5*n(q). Factor j(h).
-5*h**2*(h + 2)**2*(3*h + 2)
Suppose -m = 4*t + 14, -5*m - t + 74 = 68. Let o(x) be the second derivative of -8*x + 1/48*x**4 + 0*x**m + 0 - 1/12*x**3. Let o(i) = 0. Calculate i.
0, 2
Let z(s) = -s**4 - 3*s - 2. Let w(b) = -20*b**4 - 20*b**3 - 16*b**2 - 48*b - 32. Let a(i) = -w(i) + 16*z(i). What is h in a(h) = 0?
-4, -1, 0
Let r = -9 + 20. Let h(m) = -m**3 + 11*m**2 - m + 15. Let p be h(r). Suppose p*y**3 + 4*y - 6*y**3 - 2*y**2 + 0*y = 0. What is y?
-2, 0, 1
Let h be 188/(-1504) - 15/(-24). What is f in 0 + f + 1/2*f**5 - 3/2*f**3 - 1/2*f**2 + h*f**4 = 0?
-2, -1, 0, 1
Let v(a) be the first derivative of -a**6/14 - 6*a**5/35 + 3*a**4/4 + 20*a**3/7 + 18*a**2/7 + 231. Determine u, given that v(u) = 0.
-2, -1, 0, 3
Let j(h) be the third derivative of -h**8/168 - h**7/105 + 4*h**6/15 - 2*h**5/3 - 4*h**2 - 4*h. Factor j(v).
-2*v**2*(v - 2)**2*(v + 5)
Suppose 23 - 2 = -h. Let b be 14/h - (-8)/3. Factor -b*g - g**2 + 2*g - g**2.
-2*g**2
Let p(v) = 2*v**2 + v. Let f be p(-2). Let o = 9 - f. Suppose -5 - 6*g**2 - 3*g**2 + 3*g**o + 2 + 9*g = 0. What is g?
1
Factor 22*l**4 + 21*l + 27*l**3 + 25*l**2 - 12*l**4 + 20*l**2 - 7*l**4.
3*l*(l + 1)**2*(l + 7)
Suppose -2*q - 10 = -4*g + 8, 15 = 5*g - q. Factor -8/3 + 0*f + g*f**2 + 2/3*f**3.
2*(f - 1)*(f + 2)**2/3
Let w = 13 - 3. Let x be ((48/w)/(-6))/((-2)/5). Factor 2/7*o**3 - 4/7 + 4/7*o**x - 2/7*o.
2*(o - 1)*(o + 1)*(o + 2)/7
Let h(g) be the first derivative of -4/3*g**2 + 15 + 4/9*g**3 + 4/3*g. Factor h(l).
4*(l - 1)**2/3
Let w = -9 - -6. Let u be 4 + (w - 0) - -4. Factor -2*g**2 - 4*g - g**4 + g + u*g**2 + g.
-g*(g - 1)**2*(g + 2)
Let s(p) be the first derivative of -3*p**4/14 + 16*p**3/21 - 4*p**2/7 - 83. Factor s(m).
-2*m*(m - 2)*(3*m - 2)/7
Let c(q) be the third derivative of 2/27*q**4 + 0*q**3 + 1/135*q**5 + 0*q + 2*q**2 + 0. Factor c(d).
4*d*(d + 4)/9
Let c(y) be the second derivative of -y**5/110 - y**4/66 - 2*y - 34. Factor c(a).
-2*a**2*(a + 1)/11
Find z, given that -130*z + 219*z - 195*z**2 + 136*z - 29*z**3 - 5*z**4 + 4*z**4 = 0.
-15, 0, 1
Let l(r) be the first derivative of r**6/120 + 3*r**5/40 + r**4/4 + 12*r**3 + 32. Let n(h) be the third derivative of l(h). Factor n(g).
3*(g + 1)*(g + 2)
Let t = -9 + 11. Let d(f) = -34*f - 2 + 5*f**3 + 0*f**3 - 7*f**t + 40*f. Let a(b) = -b**3 - b**2 + 1. Let q(w) = -2*a(w) - d(w). Factor q(c).
-3*c*(c - 2)*(c - 1)
Let z = -3701 - -3703. Find i such that 21/2*i**5 - 69/2*i**3 + 24*i + 15/2*i**4 - 6 - 3/2*i**z = 0.
-2, -1, 2/7, 1
Let o(w) = w**2 - 4*w - 5. Suppose 0 = 3*u - 2 - 4. Let r(y) = -y**u + 14 + 0*y**2 - 13. Let t(j) = o(j) + 3*r(j). Factor t(n).
-2*(n + 1)**2
Let v = 123/113 - -18236/791. Factor -44/7*u**2 - v*u**5 - 69/7*u**3 - 4/7*u + 286/7*u**4 + 0.
-u*(u - 1)**2*(13*u + 2)**2/7
Let j(l) be the second derivative of -3*l**7/98 - l**6/35 + 153*l**5/140 + 71*l**4/14 + 66*l**3/7 + 60*l**2/7 + 565*l. Suppose j(i) = 0. What is i?
-2, -1, -2/3, 5
Let i(j) be the second derivative of -1/57*j**4 + 0 + 0*j**3 + 1/190*j**5 + 0*j**2 - 1/399*j**7 - 18*j + 2/285*j**6. Suppose i(b) = 0. Calculate b.
-1, 0, 1, 2
Let p(x) = 3*x**3 + x**2 - x - 1. Let y(a) = -79*a**3 + 152*a**2 - 17*a - 17. Let b(o) = -3*p(o) - y(o). Factor b(f).
5*(f - 2)*(2*f - 1)*(7*f + 2)
Suppose -3*u + 29 = 5*n, -2*n + 4 = -2*u + 2. Suppose 5*k - 30 = 4*d, 2*k = n*d + 8 + 16. Suppose 6*o**k + 10*o**2 - 13*o**2 - 9*o = 0. Calculate o.
0, 3
Let c(w) = 3*w + 111. Let u be c(-36). Let r(v) be the first derivative of 1/39*v**6 + 0*v - 1/13*v**2 - 4/65*v**5 + 0*v**4 + 4/39*v**u - 1. Factor r(f).
2*f*(f - 1)**3*(f + 1)/13
Let x(s) be the third derivative of 2*s**5/135 - 13*s**4/108 + 10*s**3/27 + 301*s**2. Factor x(t).
2*(t - 2)*(4*t - 5)/9
Let z(w) = 2*w**3 + 2*w - 1. Let i(m) = -5*m**3 - 5*m**2 - 12*m - 2. Let k(u) = i(u) + 2*z(u). Solve k(y) = 0 for y.
-2, -1
Let t(s) = 492*s**3 + 4004*s**2 + 4260*s + 1224. Let z(f) = 1478*f**3 + 12011*f**2 + 12780*f + 3672. Let h(l) = -11*t(l) + 4*z(l). Factor h(c).
4*(5*c + 3)**2*(5*c + 34)
Let g(c) be the first derivative of -c**4/20 - 11*c**3/15 + 4*c**2 - 28*c/5 - 295. Factor g(s).
-(s - 2)*(s - 1)*(s + 14)/5
Factor 0 - 6/7*t - 2*t**2 - 4/7*t**3.
-2*t*(t + 3)*(2*t + 1)/7
Let p(i) be the second derivative of -i**6/30 + 17*i**5/10 - 33*i**4 + 847*i**3/3 - 1331*i**2/2 - 2*i + 24. Factor p(y).
-(y - 11)**3*(y - 1)
Let u be (-2)/(-1) - (0 - -12). Let j = 12 + u. Solve 0*c**2 + 5*c**j - 2*c + 0*c + 3*c**2 = 0.
0, 1/4
Let h = -65 - -59. Let p be h + (85/25 - -3). Factor 1/5*i**5 + 0 + 0*i**2 + 1/5*i**3 + p*i**4 + 0*i.
i**3*(i + 1)**2/5
Suppose -4*o - 106 = -5*f, -4*f + 83 = -4*o - o. Factor 8*h + h**2 + 25 - 5*h**2 + f - 35.
-4*(h - 3)*(h + 1)
Factor -27225/4 + 165/2*s - 1/4*s**2.
-(s - 165)**2/4
Let g(t) be the second derivative of t**4/120 - t**3/15 - 3*t**2/5 - 66*t. Let g(r) = 0. What is r?
-2, 6
Let f(w) be the third derivative of 0*w**3 + 7/600*w**6 + 0 - 1/200*w**5 - 11*w**2 - 1/120*w**4 + 0*w. Solve f(j) = 0 for j.
-2/7, 0, 1/2
Find z, given that 114*z + 7 - 7 + 5*z**2 - 89*z = 0.
-5, 0
Suppose -24*n = 8*n + 1088. Let p be (-51)/n*16/33. Factor -8/11*d**2 + 0 + 2/11*d**5 + p*d + 4/11*d**4 - 6/11*d**3.
2*d*(d - 1)**2*(d + 2)**2/11
Let x(u) = -u**3 - 7*u**2 - 6*u + 3. Let b be x(-6). Factor -b*y - 2*y**2 + 10*y - 7*y**2 - y + 6*y**4 - 9*y**3.
3*y*(y - 2)*(y + 1)*(2*y - 1)
Let u(g) be the second derivative of -g**4/54 + 8*g**3/27 - 16*g**2/9 + 121*g. Factor u(f).
-2*(f - 4)**2/9
Let l be (-34)/(-14) - (100/(-35))/5. Suppose -l + 72*o + 0 - 396*o**2 - 36*o**2 = 0. What is o?
1/12
Let g = -5429486243/1351 + 4018865. Let y = g - -2/193. Find s such that 1/7*s**4 + 0 - y*s**2 + 0*s + 1/7*s**3 = 0.
-2, 0, 1
Suppose 5*n - 11 = -3*b, 15 = 2*n + 5*b + 3. Let k be n*((-25)/91 + 42/98). Determine z so that 0 - k*z**2 + 4/13*z - 2/13*z**3 = 0.
-2, 0, 1
Let b(m) be the first derivative of 4*m**5/5 + 15*m**4 - 368*m**3/3 + 312*m**2 - 320*m + 190. Let b(y) = 0. What is y?
-20, 1, 2
Let d(t) = t**2 - 57*t + 53. Let n(c) = c**2 - 113*c + 105. Let s(o) = -7*d(o) + 3*n(o). Factor s(x).
-4*(x - 14)*(x - 1)
Let x = 17 + 1. Suppose -3*r + 4*o - 1 = -x, o = -5*r + 13. Factor r*p**5 - 6*p**2 + 9*p**4 - 12*p**2 + 6*p**2.
3*p**2*(p - 1)*(p + 2)**2
Let o(v) be the third derivative of -v**7/105 + v**6/6 - 29*v**5/30 + 5*v**4/3 + 76*v*