= -48, 5*h + 2*c - 89 + 88 = 0. Factor -u**2 + 1/2*u**3 - 5/2*u + h.
(u - 3)*(u - 1)*(u + 2)/2
Let r(o) = -o**4 - 9*o**3 - 10*o**2. Let p(w) be the third derivative of w**6/120 - 24*w**2. Let s(c) = -4*p(c) - 2*r(c). Factor s(u).
2*u**2*(u + 2)*(u + 5)
Let o be (0 - -3)/3*11. Let v(m) be the first derivative of -2/15*m**3 + 3/5*m**2 + o + 0*m. Factor v(l).
-2*l*(l - 3)/5
Let v be 6/4*80/15 - 4. Factor 144*g**2 - 39*g**3 - 5605 + 5605 - 108*g + 3*g**v.
3*g*(g - 6)**2*(g - 1)
Suppose k - 3*x - 477 = -2*k, 2*x = -3*k + 502. Let v be -5 - k/(-56)*2. Factor -10/7*t**4 + 0*t + 4/7*t**2 - v*t**3 + 0.
-2*t**2*(t + 1)*(5*t - 2)/7
Let r = 210053 + -210050. Determine w so that -1/2*w**4 + 0*w**r + 5/2*w**2 - 2 + 0*w = 0.
-2, -1, 1, 2
Find u, given that -2 + 12*u**5 - 20*u - 21*u**3 + 49*u - 20*u + 3*u**2 - 1 = 0.
-1, 1/2, 1
Let x(z) be the second derivative of -z**6/1260 + 19*z**5/420 + z**4/2 - 41*z**3/3 + 43*z. Let p(n) be the second derivative of x(n). Factor p(s).
-2*(s - 21)*(s + 2)/7
Let q = 113567/3 + -37853. Factor 20/9*a**2 + 2/9*a**5 + 4/3*a**4 + 2/3*a + 0 + q*a**3.
2*a*(a + 1)**3*(a + 3)/9
Let r be 212/10*275/18216. Let v = r - 9/92. Determine x so that -1/3*x**4 + 4/3*x - v*x**3 + x**2 + 4/9 = 0.
-1, -2/3, 2
Let h(c) be the second derivative of 2*c**4 + 24*c**2 + 4 + 10*c**3 - 24*c + 3/20*c**5. Factor h(b).
3*(b + 2)**2*(b + 4)
Factor -252*m - 240*m - 96*m**2 + 645 + 408*m + 87*m**2.
-3*(m - 5)*(3*m + 43)
Let h(p) = -14*p**2 + 66*p - 260. Let d(j) = 11*j**2 - 67*j + 257. Let i(w) = 4*d(w) + 3*h(w). Factor i(a).
2*(a - 31)*(a - 4)
Factor 6*g**2 + 0 + 1/2*g**3 + 18*g.
g*(g + 6)**2/2
Suppose -2715 + 5413 = -17*w + 2732. Factor -2/5*i**3 + 0 + 0*i**w + 8/15*i + 2/15*i**4.
2*i*(i - 2)**2*(i + 1)/15
Let d(o) = -2*o**3 - 8*o**2 + 4*o + 16. Let u be d(-4). Suppose u = -b - 2*b + 2*b. Factor 0 + 3/5*x**3 + b*x + 6/5*x**2.
3*x**2*(x + 2)/5
Let u(q) be the third derivative of -7/3*q**4 + 196/3*q**3 + 0 - 35*q**2 + 0*q + 1/30*q**5. Factor u(z).
2*(z - 14)**2
Let a(s) = -s**2 - 2*s + 1. Let v(x) = 7*x**2 + 44*x - 10. Let n(h) = -4*h**2 - 21*h + 5. Let r(g) = 5*n(g) + 2*v(g). Let o(c) = 20*a(c) - 4*r(c). Factor o(t).
4*t*(t + 7)
Let b(o) be the second derivative of -135*o**8/112 + 87*o**7/56 - 7*o**6/9 + o**5/6 + 37*o**3/3 + o - 8. Let u(g) be the second derivative of b(g). Factor u(m).
-5*m*(5*m - 1)*(9*m - 2)**2
Let q be (0 - (-30)/18) + 4/(-6). Let x(s) = -2*s**2 - 160*s + 3702. Let f(i) = -i**2 + 3*i + 1. Let w(d) = q*x(d) - 4*f(d). Determine a, given that w(a) = 0.
43
Let l(r) be the first derivative of 1/12*r**6 + 140/3*r**3 + 185/4*r**2 + 141 + 5*r**5 + 23*r + 95/4*r**4. Factor l(v).
(v + 1)**4*(v + 46)/2
Let q(c) be the first derivative of -1/22*c**4 - 3/11*c**3 - 30 + 16*c + 0*c**2. Let g(v) be the first derivative of q(v). Find i, given that g(i) = 0.
-3, 0
Let o(d) be the second derivative of 1/42*d**4 - 2/21*d**3 + 0 + 1/70*d**5 + 259*d + 0*d**2. Factor o(q).
2*q*(q - 1)*(q + 2)/7
Suppose -7*g = -287 - 224. Let s be ((-2)/6)/((-1)/6). Factor l**2 - l**2 - g + 61 + 3*l**s.
3*(l - 2)*(l + 2)
Let y = 1291393/1183787 - -1/107617. Determine j so that -8/11*j**5 + y*j**2 + 0 - 26/11*j**3 + 24/11*j**4 - 2/11*j = 0.
0, 1/2, 1
Let 9*i**3 + 0 - 528/5*i**2 - 1/5*i**4 + 484/5*i = 0. Calculate i.
0, 1, 22
Find t such that 76*t**2 - 16*t**2 + 40 - 100*t + 307*t + 101*t = 0.
-5, -2/15
Let i = 824 + -44. Let t be ((-416)/i)/((-1)/5). Factor -2/3*q**3 - 2*q**2 + t + 0*q.
-2*(q - 1)*(q + 2)**2/3
Let r = -70833 - -779165/11. Solve 0 - r*f**2 + 8/11*f = 0 for f.
0, 4
Suppose -3*a - l + 0 = -8, 5*a + l = 14. Suppose a*r = 17 - 11. Solve 4 - 5 - 5*o**2 - r*o + 0 + 4*o**2 = 0.
-1
Suppose -v + 32 = 8*a, 3*a = 3*v - 2*a - 38. Suppose 28*b - 36*b + v = 0. Factor i + i**b + 1/4*i**3 + 0.
i*(i + 2)**2/4
Factor -2870/3*b**3 - 2/3*b**5 + 0*b + 0 + 2450*b**2 + 146/3*b**4.
-2*b**2*(b - 35)**2*(b - 3)/3
Let u(i) be the second derivative of i**6/70 - 9*i**5/35 + 3*i**4/14 + 26*i**3/7 + 99*i**2/14 - 553*i. Find o such that u(o) = 0.
-1, 3, 11
Let g(y) be the third derivative of 0*y**3 - 1/36*y**5 + 0 - 1/1890*y**7 + 0*y - 307*y**2 + 0*y**4 - 1/135*y**6. Factor g(r).
-r**2*(r + 3)*(r + 5)/9
Let n(m) be the first derivative of -5*m**9/756 - m**8/336 - 4*m**3/3 + 77. Let t(s) be the third derivative of n(s). Suppose t(u) = 0. Calculate u.
-1/4, 0
Let m(q) be the second derivative of q**6/10 + 93*q**5/100 + 3*q**4/10 - 2127*q. Let m(r) = 0. Calculate r.
-6, -1/5, 0
Let h = 157 - 155. Let x be (-5 + 3*(-25)/(-15))/(-1). Factor -3*q + 27/2*q**h + x - 6*q**3.
-3*q*(q - 2)*(4*q - 1)/2
Let d(g) be the first derivative of -g**5/5 - 5*g**4/16 + 13*g**3/12 + 7*g**2/4 - 5106. Determine k, given that d(k) = 0.
-2, -1, 0, 7/4
Let f(o) be the second derivative of 5*o**7/42 - o**6/6 - 3*o**5/2 + 5*o**4/3 + 20*o**3/3 + 37*o. Factor f(a).
5*a*(a - 2)**2*(a + 1)*(a + 2)
Let r(v) be the second derivative of 3*v**5/110 + 41*v**4/2 + 51075*v**3/11 + 151875*v**2/11 - 1218*v. What is d in r(d) = 0?
-225, -1
Let l(a) be the first derivative of a**4/4 - 8*a**3/3 + a**2/2 - 2*a + 18. Let b be l(8). Factor -x**2 + 8*x - 12*x + b*x.
-x*(x - 2)
Let u = 1787977/214 + -8355. Let x = u + 1677/1070. Factor 0*g - x + 2/5*g**2.
2*(g - 2)*(g + 2)/5
Let o(r) = 4*r**2 + 6*r + 2. Let d be o(-2). Let s be d/2 - 352/160. Find u, given that s*u**2 + 0*u - 4/5 = 0.
-1, 1
Let l(t) be the third derivative of -2*t**3 + 15*t**2 + 0 - 7/40*t**5 - 3/40*t**6 + 0*t + 1/4*t**4. Let x(g) be the first derivative of l(g). Factor x(b).
-3*(b + 1)*(9*b - 2)
Let j(u) = -31*u**3 + u**2 + 17*u + 19. Let o be j(-2). Suppose o*c = 243*c - 12. Find v such that -16/21 + 10/21*v**c + 12/7*v = 0.
-4, 2/5
Let f(h) be the second derivative of 3*h**7/7 - 13*h**6/5 - 161*h**5/10 - 73*h**4/6 + 152*h**3/3 + 112*h**2 - 41*h - 44. Determine w, given that f(w) = 0.
-4/3, -1, 1, 7
Let b(r) = -114*r**4 + 44*r**3 + 56*r**2 - 44*r - 62. Let u(o) = -71*o**4 + 29*o**3 + 37*o**2 - 29*o - 41. Let s(f) = -5*b(f) + 8*u(f). Factor s(c).
2*(c - 1)*(c + 1)*(c + 3)**2
Let m be 120/45 + (-4)/(-12). Find w, given that -108*w + 77 - 136*w**2 - 20*w - 2*w**4 + 55 + 128*w**m - 6*w**4 + 12*w**4 = 0.
-33, -1, 1
Find y, given that 3325*y - 3*y**3 + 66*y + 903*y**2 - 655*y = 0.
-3, 0, 304
Let o(h) = h**2 + 17*h + 280. Let n be o(0). Let p = 283 - n. Factor 0 + 4/7*f**2 - 1/7*f**p - 3/7*f.
-f*(f - 3)*(f - 1)/7
Let g = -683994/193 - -3544. Let t = 973/772 + g. Let -1/2 + t*s - 7/4*s**4 + 9/4*s**2 - 5/4*s**3 = 0. Calculate s.
-1, 2/7, 1
Let g(x) = 3*x**2 - 30*x - 12. Let u be (-2)/(-6)*4*540/(-48). Let f(k) = -k + 2. Let z(s) = u*f(s) + g(s). Find v such that z(v) = 0.
-2, 7
Let a(p) be the third derivative of -1/300*p**6 - 7/75*p**5 - 13/60*p**4 - p**2 - 22*p + 0 + 0*p**3. Factor a(m).
-2*m*(m + 1)*(m + 13)/5
Let -98/3*o**4 + 968*o**2 + 64 + 308*o**3 + 1424/3*o = 0. Calculate o.
-2, -2/7, 12
What is x in -x + 983*x**2 - 6*x + 982*x**2 - 1964*x**2 - 8*x + 14 = 0?
1, 14
Suppose 15 - 3/4*n**3 + 15/2*n**2 - 87/4*n = 0. Calculate n.
1, 4, 5
Let n = 908/9513 + -2/9513. Let t(v) be the first derivative of 0*v + n*v**3 - 11 + 1/7*v**2. Factor t(m).
2*m*(m + 1)/7
Factor 5*k**3 + 27*k**3 - 14*k**4 - 6863*k**5 + 6862*k**5.
-k**3*(k - 2)*(k + 16)
Let x be 0 - 0 - 473/(-23 + 12). Suppose 4*b = 2*a - x + 59, -26 = -3*b - 2*a. Factor 0 - 3*o**2 - b*o**3 + 0*o - 9/4*o**4.
-3*o**2*(o + 2)*(3*o + 2)/4
Let l(g) be the third derivative of -1/36*g**4 - 1/60*g**5 + 0*g**3 - g**2 - 1/360*g**6 + 0*g + 3. Determine a, given that l(a) = 0.
-2, -1, 0
Let w(b) = 4*b**3 - 20*b**2 - 42*b - 13. Let o(g) = -192*g**3 - g**2 + 380*g**3 - 187*g**3 - 2*g - g. Let p(z) = 5*o(z) - w(z). Factor p(r).
(r + 1)**2*(r + 13)
Suppose 10*h - 15*h = 3*w + 13, 4*w = 5*h + 41. Solve -265*d**2 + 265*d**2 + 6*d**3 + w*d**3 + 45*d**4 = 0 for d.
-2/9, 0
Let w(g) be the second derivative of 0 + 2/15*g**5 - 1/36*g**4 + 23/2*g**2 - 5*g - 1/9*g**3. Let s(x) be the first derivative of w(x). Factor s(n).
2*(3*n - 1)*(4*n + 1)/3
Let i be ((-24)/(-84))/(-5 + 12 - (-360)/(-56)). Let p - i - 1/2*p**2 = 0. What is p?
1
Suppose 9*p - 31 = -11*p + 9. Let b(q) be the second derivative of -6*q**p + 1/4*q**4 + 0 - 3/2*q**3 + 3*q. Determine d, given that b(d) = 0.
-1, 4
Let j be (0 - -1)/((-1)/27). Let h = 29 + j. Factor 7*t**3 + 2*t**2 + t -