*x - 5/4*x**3 + 45/2.
-5*(x - 3)**2*(x - 2)/4
Let u(n) be the third derivative of -2*n**2 + 2*n**3 + 17/12*n**4 - 1/105*n**7 + 0*n + 42 + 1/20*n**6 + 1/2*n**5. What is c in u(c) = 0?
-1, 6
Let u(q) = 7*q**2 + 64*q + 7814. Let b(n) = -20*n**2 - 130*n - 15625. Let k(g) = 2*b(g) + 5*u(g). Factor k(m).
-5*(m - 46)*(m + 34)
Let b = -455673/18676 - -683/28. Let a = 639/4669 - b. Factor 5/7 + 18/7*x**2 - 8/7*x**3 - 16/7*x + a*x**4.
(x - 5)*(x - 1)**3/7
Let i(a) = a**2 - a - 1. Let p(g) = 6*g - 9. Suppose 0 = 6*t - 15*t - 9. Let b(k) = t*p(k) + 3*i(k). Factor b(z).
3*(z - 2)*(z - 1)
Let d be 6 - ((-38)/(-14) + 2/7). Let y = 1350 - 1348. Factor 0*a**y + 1/4*a - 1/4*a**d + 0.
-a*(a - 1)*(a + 1)/4
Let v be -5*(-10)/28 + (-69)/(11592/48). Determine l, given that -1/4*l + 1/4*l**2 - v = 0.
-2, 3
Suppose 6*h + 2316 + 1128 = 0. Let z = h - -574. Factor 0*d + 6/5*d**3 - 21/5*d**5 + 0 + z*d**2 + 3*d**4.
-3*d**3*(d - 1)*(7*d + 2)/5
Suppose q = -12*o + 282 - 26, 4*q + 3*o = 664. Factor -2/5*i**2 - q + 16*i.
-2*(i - 20)**2/5
Let d(p) be the third derivative of p**5/15 - 49*p**4/6 - 68*p**3 - 2484*p**2. Let d(a) = 0. Calculate a.
-2, 51
Let b(s) be the second derivative of -s**6/150 + 2*s**5/25 - 2*s**4/5 + 16*s**3/15 - 8*s**2/5 - 464*s. Solve b(a) = 0.
2
Let r be (-1680)/(-300) + 3/(-5) - (5 + 0). Factor r + 5/2*l - 1/2*l**3 - 2*l**2.
-l*(l - 1)*(l + 5)/2
Solve 0 + 19/3*y**3 - 92/3*y**2 + 1/3*y**4 + 0*y = 0.
-23, 0, 4
Let b be 2278 + -2238 - (-478)/(-13). Determine w, given that -24/13 - 80/13*w + b*w**2 - 50/13*w**5 + 202/13*w**3 - 90/13*w**4 = 0.
-3, -2/5, 1
Factor 137990 - 275746 - 132859 - 2*n**2 + 2124*n - 57553 - 235754.
-2*(n - 531)**2
Let r(i) = 186*i + 1676. Let c be r(-9). Let k(d) be the third derivative of 0*d + 0 + 0*d**3 - 1/36*d**4 + 1/180*d**5 - 16*d**c. Find f, given that k(f) = 0.
0, 2
Let u = 2878 - 2866. Let h(p) be the first derivative of 1/15*p**3 + u + 2/5*p + 3/10*p**2. Determine z so that h(z) = 0.
-2, -1
Let v(a) = 9*a**4 - 28*a**3 - 6*a**2 + 4*a + 3. Let h(j) = 9*j**4 - 27*j**3 + 4*j + 2. Let q(g) = 9*h(g) - 6*v(g). Factor q(x).
3*x*(x - 2)*(x - 1)*(9*x + 2)
Let z(r) be the first derivative of -r**4/4 - 1777*r**3/3 - 395160*r**2 - 788544*r - 5365. Factor z(p).
-(p + 1)*(p + 888)**2
Factor 3*p**2 + 0*p**2 - 3*p - 153*p - 1 + 1.
3*p*(p - 52)
Let n be ((-268800)/(-270))/35 + -28. Factor -14/9*h**3 - 2*h**2 + 0 - n*h.
-2*h*(h + 1)*(7*h + 2)/9
Factor 13/4*q**4 - 17/4*q**3 - 7 - 37/4*q**2 + 1/4*q**5 + 17*q.
(q - 1)**3*(q + 2)*(q + 14)/4
Let p be -6*2/(-4) + -2 + 5. Let o be (4 - (p + -3)) + 3. Determine a, given that 165*a**5 + a + 3*a - 2*a**3 + 6*a**2 - 6*a**o - 167*a**5 = 0.
-2, -1, 0, 1
Let a(i) = -22*i**5 - 270*i**4 - 424*i**3 - 35*i**2 + 7. Let q(l) = l**5 - l**4 - l**2 + 1. Let n(m) = 5*a(m) - 35*q(m). Determine x, given that n(x) = 0.
-7, -2, -2/29, 0
Factor -35*h**2 + 61*h**3 - 340*h - 325*h + 15*h**3 + 669*h.
h*(4*h - 1)*(19*h - 4)
Suppose 4*b = -5*c + 42, 0 = -149*b + 150*b - 8. Determine t so that 1/8*t**5 - 2 - 73/8*t**c + 43/8*t**3 + 7*t - 11/8*t**4 = 0.
1, 4
Suppose -289/3*n**5 - 84664/3*n**3 - 4000/3 - 268720/3*n**2 - 8602/3*n**4 + 66800/3*n = 0. Calculate n.
-10, 2/17
Suppose 2078*o - 160586 + 116*o + 3034*o + 2*o**2 + 3577084 = 0. Calculate o.
-1307
Solve 58/17 - 22/17*u - 58/17*u**2 + 22/17*u**3 = 0 for u.
-1, 1, 29/11
Solve -51*c - 3/2*c**2 + 111/8*c**4 + 3/8*c**5 + 0 + 153/4*c**3 = 0.
-34, -2, 0, 1
Let f(x) be the third derivative of -7/3*x**4 + 0 - 8*x**3 - 40*x**2 + 0*x - 5/36*x**5 - 1/360*x**6. Determine v so that f(v) = 0.
-12, -1
Find r such that -196/5*r**2 + 4/5*r**3 + 552/5*r + 0 = 0.
0, 3, 46
Factor -1/2*v - 5 + 1/10*v**2.
(v - 10)*(v + 5)/10
Let c(v) be the first derivative of v**5 - 5*v**4/2 - 135*v**3 + 5*v**2 + 400*v + 694. Let c(x) = 0. What is x?
-8, -1, 1, 10
Let l(k) be the second derivative of 41*k - 3/4*k**5 + 0*k**2 + 3*k**3 - 1/14*k**7 - 7/10*k**6 + 7/4*k**4 + 2. Solve l(z) = 0 for z.
-6, -1, 0, 1
Suppose -2*q + 404 = 402. Factor -1239*y**4 + 15*y**3 - q + 1242*y**4 + 12*y**2 + 1.
3*y**2*(y + 1)*(y + 4)
Let b be 9/(-2)*(-512)/1152. Factor -3/2*d + 0 + 3/2*d**b.
3*d*(d - 1)/2
Factor -5/6*n**4 + 40 + 0*n**3 + 20*n**2 + 160/3*n.
-5*(n - 6)*(n + 2)**3/6
Factor -5*v**3 - v**3 + 72*v - 1006*v**2 + 9*v**3 + 976*v**2.
3*v*(v - 6)*(v - 4)
Let t(j) be the second derivative of j + 2/3*j**2 - 8/27*j**4 - 18 + 10/27*j**3. Factor t(u).
-4*(u - 1)*(8*u + 3)/9
Let u = 8967 - 1076039/120. Let q(r) be the second derivative of u*r**5 + 0 + 1/72*r**4 - 1/12*r**2 - 1/36*r**3 - 21*r. Factor q(l).
(l - 1)*(l + 1)**2/6
Let p = 7/88 + -3631/46200. Let v(o) be the third derivative of -1/300*o**5 + 21*o**2 - 1/300*o**6 + 0*o**4 + 0 - p*o**7 + 0*o**3 + 0*o. Factor v(y).
-y**2*(y + 1)**2/5
Let f(g) = g**2 + g. Let a(h) = -14*h**2 - 22*h + 6. Let o = 80 + -66. Suppose -13*b + o*b + 36 = 0. Let l(d) = b*f(d) - 4*a(d). Find n such that l(n) = 0.
-3, 2/5
Let m = 1398249/5 - 280832. Let s = 1183 + m. Factor -16/5 - 12/5*b + s*b**2.
4*(b - 4)*(b + 1)/5
Let g(u) be the second derivative of -u**8/8960 - u**7/560 - u**6/120 + 20*u**4/3 + 5*u - 2. Let a(t) be the third derivative of g(t). Factor a(o).
-3*o*(o + 2)*(o + 4)/4
Factor -10*f**2 + 2/3*f**3 + 120 - 128/3*f.
2*(f - 18)*(f - 2)*(f + 5)/3
Let c(s) be the first derivative of s**3/3 + 90*s**2 - 4729. Determine l so that c(l) = 0.
-180, 0
Let v = 25223/21 + -7836/7. Factor -v + 70/3*r - 5/3*r**2.
-5*(r - 7)**2/3
Let x(t) be the first derivative of 2*t**6 + 284*t**5/15 + 127*t**4/3 - 116*t**3/3 - 272*t**2/3 + 64*t/3 + 575. Find o such that x(o) = 0.
-4, -1, 1/9, 1
Let j = -2991301/9 + 332367. Factor -2/9*b**3 - 2/3 + 2/3*b**2 + j*b.
-2*(b - 3)*(b - 1)*(b + 1)/9
Factor -214*c - 644/3 + 2/3*c**2.
2*(c - 322)*(c + 1)/3
Let m(x) = -2*x**4 + 58*x**3 - 420*x**2 + 594*x - 256. Let r(y) = y**4 - 15*y**3 + y. Let z(v) = -m(v) + 2*r(v). Suppose z(c) = 0. Calculate c.
1, 4, 16
Let c = 120797/45 - 23857/9. Factor -3/5*o**2 - 2352/5 - c*o.
-3*(o + 28)**2/5
Factor -120*h**3 - h**4 - 31*h**2 - 88*h**2 - 9069 + 9069.
-h**2*(h + 1)*(h + 119)
Suppose -6/5*l**2 + 1724/5*l - 574/5 = 0. What is l?
1/3, 287
Suppose -3*m + 5*y - y - 1080 = 0, -1440 = 4*m + 5*y. Let z = m - -365. Determine s, given that 0*s - 4/3 - s**z + 23/3*s**2 - 11*s**3 + 17/3*s**4 = 0.
-1/3, 1, 2
Let y be (-2)/6 + 26/6. Let g be (-8)/20 - (3 + (-81)/15). Factor 4*c**3 + c**y - 5*c**g - 7*c**3 + 2*c + 4*c**2 + c**5 + 0*c.
c*(c - 1)**2*(c + 1)*(c + 2)
Let w be (-54)/(-8)*2*(-10)/(-3). Let c(n) be the first derivative of -19 - 30*n**2 + 10/3*n**3 - w*n + 5*n**4 - n**5. Solve c(r) = 0 for r.
-1, 3
Let w(m) be the second derivative of m**4/66 - 2*m**3/11 - 247*m**2/11 + 486*m. Solve w(g) = 0 for g.
-13, 19
Let h(d) be the second derivative of d**4/28 - 34*d**3/7 - 207*d**2/14 + 4*d - 8. Factor h(g).
3*(g - 69)*(g + 1)/7
Suppose -101 + 1061 = 16*t. Let z be (20/(-36))/((65/t)/(-13)). What is m in z + 20/3*m**3 - 5*m**2 - 5/3*m**4 - 20/3*m = 0?
-1, 1, 2
Suppose 95328 = -4*r + 22*r. Find b, given that -r + 6*b - 35*b**2 - 5*b**3 - b + 5331 = 0.
-7, -1, 1
Suppose 3388 = -8*s + 19*s. Factor 84*c + s - 3*c**2 - 5*c**2 - 348.
-4*(c - 10)*(2*c - 1)
Let w(h) be the second derivative of -h**7/63 - 2*h**6/15 - 7*h**5/15 - 8*h**4/9 - h**3 - 2*h**2/3 + 1148*h. Factor w(i).
-2*(i + 1)**4*(i + 2)/3
Suppose 26*f + 8*f = 1666. Find w such that 167*w**2 - 48*w**2 + 6*w - 12 - 50*w**2 + 2*w - f*w**2 = 0.
-1, 3/5
Let s(y) be the third derivative of 1/72*y**4 + 11/360*y**5 + 1/80*y**6 + 10*y**2 + 0*y**3 - 1 + 0*y. Solve s(x) = 0.
-1, -2/9, 0
Let r(t) = -18*t**2 + 15*t - 3. Let d = -109 + 112. Let u(i) = -30*i + 36*i**2 + 3*i**3 + 1 + 2 - 4*i**3 + 2. Let b(p) = d*u(p) + 5*r(p). Factor b(q).
-3*q*(q - 5)*(q - 1)
Solve -28/3 - 3*t**2 + 121/6*t = 0 for t.
1/2, 56/9
Let f(v) = -v**3 + 31*v**2 + 77*v + 38. Let b be f(33). Let k = b - 799/2. Determine a, given that -k + 9/4*a - 3/4*a**2 = 0.
1, 2
Let d = -1290 - -1296. Let f(n) be the second derivative of -5/42*n**7 - 3/2*n**5 - 2/3*n**d + n - 5/6*n**3 + 0*n**2 + 0 - 5/3*n**4. Factor f(v).
-5*v*(v + 1)**4
Factor 123/2*z + 1/2*z**3 + 18*z**2 - 80.
(z - 1)*(z + 5)*(z + 32)/2
What is x in 8*x - 100*x**3 - 360*x**2 + 90*x**4 - 45*x - 77*x + 35*x**5 - 46*x = 0?
-2, -4/7, 0, 2
Let c = 792501/4 + -198125. Factor 1/2*i**2 