*4 + 22*o**3 - 3*o**2 - 6*o + 3. Let r(a) = -b(a) - 3*p(a). Determine l, given that r(l) = 0.
0, 1/4, 3
Let a = -50099/1872 + 348/13. Let n(o) be the third derivative of 0 + a*o**4 + 1/180*o**5 + 0*o**3 + 1/720*o**6 + 0*o + o**2. Factor n(q).
q*(q + 1)**2/6
Let m(y) be the third derivative of -1/210*y**7 + 0*y**3 + 0*y + 0 - 1/120*y**6 + 1/60*y**5 + 1/336*y**8 + 0*y**4 - y**2. What is s in m(s) = 0?
-1, 0, 1
Let j(x) = -x**5 + x**2 + 1. Let s(n) = -n**4 - 1302*n**5 + 6 + 0 + 1295*n**5 + 6*n**2. Let g(a) = 6*j(a) - s(a). Factor g(l).
l**4*(l + 1)
Let g(m) be the first derivative of 1/80*m**5 + 0*m**2 + 1/48*m**4 - 1/24*m**3 - 3*m + 7 - 1/120*m**6. Let j(v) be the first derivative of g(v). Factor j(t).
-t*(t - 1)**2*(t + 1)/4
Let i(o) = 8*o**3 - 912*o**2 + 592*o. Let u(r) = -r**3 - r**2 - 2*r. Let w(g) = i(g) - 4*u(g). Factor w(s).
4*s*(s - 75)*(3*s - 2)
Let k = -4199/3 - -1416. Let o = k + -15. Factor -2/9*l**2 - 2 - o*l.
-2*(l + 3)**2/9
Factor -13*w**2 - 755*w + 1503*w - 829*w + 3*w**3 - 65*w**2.
3*w*(w - 27)*(w + 1)
Suppose 5*z = -5*a + 40, 5*a - 7 + 17 = 5*z. Suppose 9/4*f**a + 3/4*f**4 + 0*f**2 + 0*f + 0 = 0. What is f?
-3, 0
Let l(w) be the third derivative of -w**9/6048 + w**7/1008 - 17*w**4/24 - 11*w**2. Let k(y) be the second derivative of l(y). Solve k(o) = 0.
-1, 0, 1
Let t = 1349/5 - 268. Factor 3/5*z + 3/5 - 3*z**2 + t*z**3.
3*(z - 1)**2*(3*z + 1)/5
Let z be ((-9)/(-28))/((-129)/(-86)). Let k(w) be the first derivative of -4 + 1/7*w**3 - z*w**2 - 1/28*w**4 + 1/7*w. What is t in k(t) = 0?
1
Factor -2/11*w + 2/11*w**2 + 0.
2*w*(w - 1)/11
Let u(j) = -3*j**4 + 10*j**3 + 35*j**2 - 38*j - 2. Let h(v) = -3*v**4 + 12*v**3 + 36*v**2 - 39*v - 3. Let b(k) = -2*h(k) + 3*u(k). Factor b(t).
-3*t*(t - 4)*(t - 1)*(t + 3)
Let u = -892 + 895. Let w(q) be the third derivative of 0*q - 1/120*q**6 - 2*q**2 + 0 + 1/24*q**4 + 0*q**5 + 1/420*q**7 - 1/12*q**u. Factor w(c).
(c - 1)**3*(c + 1)/2
Let l(d) be the third derivative of -d**6/72 - 19*d**5/96 + 25*d**4/96 + 47*d**3/6 + 10*d**2. Let g(v) be the first derivative of l(v). Factor g(x).
-5*(x + 5)*(4*x - 1)/4
Let o(u) be the second derivative of -6*u - 1/210*u**7 + 1/75*u**6 + 0*u**3 + 0 + 1/100*u**5 + 0*u**2 - 1/30*u**4. Find b such that o(b) = 0.
-1, 0, 1, 2
Let m = -89/28 - -15/4. Factor -2/7*k + m*k**2 + 2/7*k**3 - 4/7.
2*(k - 1)*(k + 1)*(k + 2)/7
Let a(n) = 6*n + 27. Let h be a(-3). Determine i so that h*i**2 + i**3 + 21*i - 4*i**3 + 9*i**2 = 0.
-1, 0, 7
Let s = 35 + -32. Solve -2 - 3 + n + n**2 + s = 0 for n.
-2, 1
Let h(k) be the first derivative of k**5 + 5*k**4 + 5*k**3 - 10*k**2 - 20*k + 123. Factor h(n).
5*(n - 1)*(n + 1)*(n + 2)**2
Let n be 12 + (-39)/3 - (-201)/198. Let b(y) be the second derivative of 0 + n*y**4 + 6*y + 1/11*y**2 - 2/33*y**3. Let b(k) = 0. Calculate k.
1
Let i = 463 + -295. Let x be -8 + 1379/i + (-2)/(-16). Determine k so that -1/3*k**2 + 0 + 2/3*k - x*k**3 = 0.
-2, 0, 1
Let a(q) be the first derivative of 3*q**5/5 - 3*q**3 - 3*q**2 - 22. Solve a(i) = 0.
-1, 0, 2
Let a(w) be the second derivative of w**7/1440 + 13*w**6/576 + 3*w**5/80 - 13*w**4/6 + 32*w. Let r(k) be the third derivative of a(k). What is o in r(o) = 0?
-9, -2/7
Let b(y) be the third derivative of -y**7/42 - y**6/4 - 3*y**5/4 - 207*y**2 - 2. Factor b(g).
-5*g**2*(g + 3)**2
Solve -33/5 + 36/5*o - 3/5*o**2 = 0 for o.
1, 11
Let p be ((-15)/(-15))/(7/2 - 3). Factor -24/5*b - 9/5 - 18/5*b**p + 3/5*b**4 + 0*b**3.
3*(b - 3)*(b + 1)**3/5
Let z(m) = m**2 - m + 1. Let i(y) = 3*y**2 - 10*y - 4. Suppose -8*x + 5*x - 3 = 0. Let w(q) = x*i(q) + 4*z(q). Factor w(j).
(j + 2)*(j + 4)
Let w(g) be the first derivative of g**4/18 - 70*g**3/27 + 98*g**2/9 - 128*g/9 - 174. Solve w(i) = 0.
1, 2, 32
Let g = 27 + -25. Determine y so that 16 - y + 15 - 33 + y**g = 0.
-1, 2
Let l(n) be the third derivative of -n**8/168 - 22*n**7/315 - 46*n**6/135 - 8*n**5/9 - 4*n**4/3 - 32*n**3/27 + 25*n**2 + 1. Factor l(q).
-2*(q + 2)**3*(3*q + 2)**2/9
Let q(x) be the second derivative of -x**7/126 - 7*x**6/90 + 2*x**5/3 - 11*x**4/9 - 43*x. Find b, given that q(b) = 0.
-11, 0, 2
Let y(z) be the first derivative of 25/2*z + 35/4*z**2 + 11/6*z**3 + 1/8*z**4 - 34. Factor y(j).
(j + 1)*(j + 5)**2/2
Let t(c) be the first derivative of -2/9*c - 4/9*c**3 - 4/9*c**2 + 6 - 2/45*c**5 - 2/9*c**4. Factor t(d).
-2*(d + 1)**4/9
Let w(v) be the first derivative of -v**4/6 + 2*v**3/9 + 2*v**2/3 + 121. Let w(f) = 0. What is f?
-1, 0, 2
Let p(y) be the second derivative of 2/27*y**3 + 3*y - 1/108*y**4 - 1/270*y**5 + 0 + 5/2*y**2. Let b(u) be the first derivative of p(u). Factor b(h).
-2*(h - 1)*(h + 2)/9
Suppose -32*c + 342 = 246. Let x(m) be the first derivative of -1 + 1/18*m**4 - 1/9*m**2 + 0*m - 2/27*m**c + 2/45*m**5. Let x(v) = 0. Calculate v.
-1, 0, 1
Let j(s) = 8*s. Let v be j(0). Factor 2048 + 4*c**3 + 678*c + v*c**3 + 96*c**2 + 0*c**3 + 90*c.
4*(c + 8)**3
Let c(z) = 3*z**2 - 4*z**2 - 4*z - 2 - 3*z + z. Let o be c(-5). Solve 6*y**4 + 4*y + 6*y**3 - y**5 - 6*y**2 - y**5 - 5*y**o - 3*y**3 = 0.
-1, 0, 1, 2
Let q be 1 + (-62)/5 - (-154)/385. Let p be (q/(-66))/(((-4)/6)/(-1)). Solve 1/4*c**4 + 0 + 0*c + c**5 - c**3 - p*c**2 = 0 for c.
-1, -1/4, 0, 1
Let z = 116 + -110. Suppose z*f + 7 = 25. Let 81/2 - 513/4*c**2 + 405/4*c + 183/4*c**f - 21/4*c**4 = 0. Calculate c.
-2/7, 3
Let x = 16 - 14. Factor 2 - a**2 + 56*a - 60*a + 3*a**x.
2*(a - 1)**2
Let v(g) be the third derivative of -g**5/510 - 11*g**4/102 + 16*g**3/17 + 205*g**2 - g. Factor v(u).
-2*(u - 2)*(u + 24)/17
Suppose f + 3*m = 8 - 3, 0 = 4*m. Suppose 4*t - f*c = 20, t + 2*c = 6*t - 8. Factor 2/3*a**4 + t + 2/3*a - 2/3*a**2 - 2/3*a**3.
2*a*(a - 1)**2*(a + 1)/3
Suppose -25*k + n + 1 = -22*k, 3 = -4*k - 3*n. Factor 0*m**2 + k*m + 0 + 2/3*m**3 + 2/9*m**4.
2*m**3*(m + 3)/9
Find y such that 0*y - 1/2*y**2 + 9/2 = 0.
-3, 3
Let l(z) be the first derivative of -z**6/3 - 4*z**5/5 + 2*z**4 + 4*z**3/3 - 3*z**2 - 24. Find u such that l(u) = 0.
-3, -1, 0, 1
Let g = 2039 + -2028. Let d(q) be the third derivative of 1/24*q**4 + 1/6*q**3 - 1/60*q**5 + g*q**2 + 0 + 0*q - 1/120*q**6. Suppose d(u) = 0. Calculate u.
-1, 1
Suppose 5 = k - 0. Let p be (2/(-8))/(27/8 - k). Factor 2/13*r**2 + 0 - 4/13*r + p*r**3.
2*r*(r - 1)*(r + 2)/13
Let u(w) = 24*w**4 + 6*w**3 - 20*w**2 - 44*w + 22. Let h(p) = -p**4 + 2*p - 1. Let c(v) = 44*h(v) + 2*u(v). Find n such that c(n) = 0.
-5, 0, 2
Let t(p) be the second derivative of -6*p**6/5 - 93*p**5/20 - 27*p**4/4 - 9*p**3/2 - 3*p**2/2 + 74*p. Let t(z) = 0. What is z?
-1, -1/3, -1/4
Find n, given that 3/8*n**5 + 33/8*n**3 + 9/4*n**2 + 0*n + 0 + 9/4*n**4 = 0.
-3, -2, -1, 0
Let s(d) be the first derivative of d**6/9 - 2*d**5/15 - 3*d**4/2 - 22*d**3/9 - 4*d**2/3 - 46. Factor s(h).
2*h*(h - 4)*(h + 1)**3/3
Let d be (-1)/(-4) - (-14105)/620. Solve 25/4*b**4 + 6 + d*b + 7/2*b**2 - 155/4*b**3 = 0.
-2/5, 1, 6
Let w(b) be the third derivative of -b**8/336 + 13*b**7/210 - 19*b**6/120 - 29*b**5/12 - 22*b**4/3 - 32*b**3/3 + 97*b**2. Let w(m) = 0. What is m?
-1, 8
Let x = -370 + 373. Let i(f) be the first derivative of -7 - 4/9*f - 1/3*f**2 - 2/27*f**x. Factor i(o).
-2*(o + 1)*(o + 2)/9
Let u(k) = 2*k - 9. Suppose 7 = -5*g + 37. Let n be u(g). Suppose 32*f**2 + 9*f**4 + 6*f - 3*f**5 + 4*f**n - 2*f**3 - 41*f**2 - 5*f**3 = 0. What is f?
-1, 0, 1, 2
Let p(g) be the first derivative of g**4/2 - 22*g**3/3 + 39*g**2 - 90*g + 34. What is x in p(x) = 0?
3, 5
Let 100 - 56*a**3 - 51*a**5 + 47*a**5 + 42*a**4 + 60*a - 136*a**2 - 6*a**4 = 0. What is a?
-1, 1, 5
Let i(l) = l**3 - 14*l**2 + 52*l - 61. Let x be i(9). Factor -18/5 + 12/5*m - 2/5*m**x.
-2*(m - 3)**2/5
Factor -17*j - j**2 - 44*j**2 - 10*j**3 - 18*j**2 + 24 - 15*j - 3*j**2.
-2*(j + 1)*(j + 6)*(5*j - 2)
Let l(n) = -38*n**3 + 19*n**2 + 48*n - 69. Let g(m) = 60*m**3 - 28*m**2 - 72*m + 104. Let d(o) = -5*g(o) - 8*l(o). Factor d(k).
4*(k - 4)*(k - 1)*(k + 2)
Let q(b) be the first derivative of -b**5/5 + 3*b**4/4 - 2*b**2 - 84. Factor q(r).
-r*(r - 2)**2*(r + 1)
Let n = -10944 + 10947. Factor 28/5*d - 2 - 26/5*d**2 + 8/5*d**n.
2*(d - 1)**2*(4*d - 5)/5
Let g(h) = 9*h**2 + 52*h - 53. Let s(u) = -6*u**2 - 34*u + 35. Let w(d) = -5*g(d) - 8*s(d). Factor w(m).
3*(m - 1)*(m + 5)
Factor 0 - 3/4*z**2 + 3/4*z.
-3*z*(z - 1)/4
Let o = 286/3439 - -4/181. Let z = -63129/19 - -3323.