*w**2 - 3785*w**2 + 1889*w**2 + 572*w.
-4*(w - 140)*(w - 3)
Let b(i) be the second derivative of i**6/285 - 101*i**5/95 - 832*i**4/57 - 1120*i**3/19 + 5*i - 12. Factor b(r).
2*r*(r - 210)*(r + 4)**2/19
Let w = -85 + 150. Factor 70 + w + 28*i + 20*i**2 + 4*i**3 - 123.
4*(i + 1)**2*(i + 3)
Let o(d) = 5*d**2 - 4*d + 4. Let n(q) = 4*q**2 - 3*q + 3. Suppose 6*l + 33 = 9. Let j(g) = l*n(g) + 3*o(g). Factor j(u).
-u**2
Let m(k) be the third derivative of 0*k**3 + 0 - k**2 + 1/840*k**7 + 0*k**4 + 87*k + 1/48*k**6 - 11/240*k**5. Solve m(v) = 0.
-11, 0, 1
Let g(a) be the first derivative of 2*a**6/3 + 40*a**5 + 940*a**4 + 32480*a**3/3 + 62720*a**2 + 175616*a + 3083. Factor g(l).
4*(l + 4)**2*(l + 14)**3
Let b(j) be the first derivative of 12 - 16*j - 1/5*j**3 + 1/120*j**4 + 9/5*j**2. Let t(s) be the first derivative of b(s). Let t(f) = 0. Calculate f.
6
Suppose -55 = -3*b + 4*t, -4*t = -2 + 6. Suppose n = -b*n + 36. Factor 1/2*y + 1/2 + 1/8*y**n.
(y + 2)**2/8
Let z = -105307 + 105343. Let -4*c**3 - 81/4 - 23/2*c**2 - 1/4*c**4 + z*c = 0. Calculate c.
-9, 1
Let t be ((-8)/28 + 608/560)*30. Let g be t/10 - 160/400. Determine v, given that 12/7*v + 0 + 2/7*v**5 + 2*v**g - 6/7*v**4 - 6/7*v**3 = 0.
-1, 0, 2, 3
Determine g so that -546 - 1366*g - 5/2*g**2 = 0.
-546, -2/5
Let a be -2 + -2 + 24/(-6) + 4. Let g be (-1)/8 + a/(-32). Factor 5/2*v**5 + 10*v**2 - 15/2*v**3 + 10*v + g - 5*v**4.
5*v*(v - 2)**2*(v + 1)**2/2
Let q(p) = -80*p**2 - 28 - 184*p**2 - 16*p**4 + 785*p**3 - 1005*p**3. Let r(v) = 3*v**4 + 40*v**3 + 48*v**2 + 5. Let s(n) = 5*q(n) + 28*r(n). Solve s(t) = 0.
-3, -2, 0
Let u(y) = -399*y - 399. Let b be u(-1). Let f(c) be the third derivative of b*c - 5/18*c**4 + 0 + 25/9*c**3 + 1/90*c**5 - 38*c**2. Factor f(w).
2*(w - 5)**2/3
Suppose 0 = -5*y - 5*r + 60, -7 + 39 = y + 5*r. Let n(b) = b**3 - 7*b**2 + b - 4. Let t be n(y). Factor -33*v**2 + 5*v - 3 + 28*v**2 + t.
-5*v*(v - 1)
Let d = 99/932 - 16/699. Let m(b) be the second derivative of 2/3*b**3 + 0 - 3/2*b**2 - 16*b - d*b**4. Find h, given that m(h) = 0.
1, 3
Let v be (6/15)/((202/(-3333))/(10/(-9))). Determine w, given that -2/3 + 6*w**4 - 5/3*w**5 - v*w**3 + 8/3*w**2 + w = 0.
-2/5, 1
Suppose -47*x - 88*x + 1060 = 395*x. Find k such that -22/13*k - 2/13*k**x + 0 = 0.
-11, 0
Let y be ((-2)/4)/((-110)/172876). Let g = y - 785. Factor g*c - 4/5*c**3 + 6/5*c**2 - 6/5.
-2*(c - 1)*(c + 1)*(2*c - 3)/5
Suppose -5*n + 3*o + 323 = 0, -2*o - 20 + 18 = 0. Suppose -46 = 9*t - n. Determine p so that -4/7*p - 4/7*p**t + 24/7 = 0.
-3, 2
Let p = 6184/1727 + -448/157. Factor -2/11*w**4 + p*w - 12/11*w**2 - 10/11*w**3 + 16/11.
-2*(w - 1)*(w + 2)**3/11
Let t(d) be the first derivative of d**6/3 - 16*d**5/5 + d**4/2 + 92*d**3/3 - 20*d**2 - 112*d - 644. Determine j, given that t(j) = 0.
-2, -1, 2, 7
Let p(i) be the third derivative of 3/40*i**4 + 0*i + 3/5*i**3 - 17*i**2 + 4 + 1/300*i**5. Let p(n) = 0. Calculate n.
-6, -3
Let p(h) be the first derivative of h**4/108 - 2*h**3/27 - 2*h**2/3 - 201*h - 141. Let k(y) be the first derivative of p(y). Determine w so that k(w) = 0.
-2, 6
Let m(v) = 3*v**3 - 8*v**2 - 7*v + 16. Let k(b) = b**3 + b. Let a(h) = -h**2 - 3. Let u(o) = a(o) + k(o). Let j(t) = m(t) + 2*u(t). Factor j(r).
5*(r - 2)*(r - 1)*(r + 1)
Suppose 27/5*k**3 + 204/5*k**2 + 108/5*k - 336/5 - 3/5*k**4 = 0. What is k?
-4, -2, 1, 14
Suppose 58*i - 117 = 14*i - 29. Let r(b) be the first derivative of -b**3 + 4/3*b**6 - 5/2*b**4 + 0*b + 12/5*b**5 + b**i + 19. Suppose r(t) = 0. What is t?
-2, -1/2, 0, 1/2
Let o(n) be the second derivative of n**7/735 - n**5/210 - 25*n**2 - 4*n + 2. Let t(z) be the first derivative of o(z). Determine x, given that t(x) = 0.
-1, 0, 1
Let v(m) = 15*m**4 + 178*m**3 - 106*m**2 - 6*m - 6. Let i(j) = 2*j**4 + 2*j**3 + j**2 - j - 1. Let w(z) = -6*i(z) + v(z). Factor w(x).
x**2*(x + 56)*(3*x - 2)
Let p = 11 + 54. Let z = 140 - p. Factor z*a + 48 + 77 + 5*a**3 - 47*a**2 + 2*a**2.
5*(a - 5)**2*(a + 1)
Let q = 359 + -359. Let d be (q*8/(-56))/(1 - -1). Factor 1/3*y**2 + 0 + d*y.
y**2/3
Let v(q) be the third derivative of -1/132*q**6 + 0*q + 0*q**3 + 1/165*q**5 + 7*q**2 + 0 + 0*q**4 + 2/1155*q**7. Factor v(c).
2*c**2*(c - 2)*(2*c - 1)/11
Let n(v) be the second derivative of -v**6/60 - 33*v**5/40 - 121*v**4/8 - 1331*v**3/12 - 136*v + 2. Factor n(t).
-t*(t + 11)**3/2
Let s(r) = -35*r**2 - 1910*r + 1282. Let p(g) = 115*g**2 + 5730*g - 3847. Let v(h) = 2*p(h) + 7*s(h). Find i such that v(i) = 0.
-128, 2/3
Let h(c) be the first derivative of 4/5*c**2 - 23 + 2/25*c**5 - 1/10*c**4 - 4/5*c**3 + 16/5*c. Factor h(p).
2*(p - 2)**2*(p + 1)*(p + 2)/5
Let w be (20 - 289/17)/((-81)/(-1)). Let f(y) be the first derivative of -1/36*y**4 - 1/45*y**5 + w*y**3 + 0*y + 12 + 1/18*y**2. Factor f(z).
-z*(z - 1)*(z + 1)**2/9
Let l be (-272)/72 - 6/27 - -8. Solve 3*m**l + m**3 + 4*m**2 + 11*m**3 - 22*m**2 + 13*m**3 = 0 for m.
-9, 0, 2/3
Suppose -92*g - 488*g + 1160 = 0. Factor 3/5*t**g - 3/5*t - 6/5.
3*(t - 2)*(t + 1)/5
Let x(i) be the third derivative of 4*i**7/21 + 113*i**6/30 + 91*i**5/5 - 48*i**4 - 72*i**3 - 4*i**2 - 82*i. Determine q so that x(q) = 0.
-6, -3/10, 1
Suppose 0 = 4*z + 14 - 6. Let n(i) = -i**3 - 3*i**2 - 5*i - 6. Let j be n(z). What is g in j + 0 - 10*g**2 + 16*g**2 + 4*g - 6*g**4 - 2*g**3 - 2*g**5 = 0?
-2, -1, 0, 1
Suppose 6*u - 11*u = r - 55, -3*r - 5 = -2*u. Suppose 0 = -u*t + 17*t - 3*t. Factor 0*w**2 + 1/3*w**5 - 1/3*w**4 + 0 + 0*w**3 + t*w.
w**4*(w - 1)/3
Let j(p) = p**3 - 6755*p**2 - 1122239*p. Let c(n) = -1350*n**2 - 224448*n. Let i(z) = -22*c(z) + 4*j(z). Factor i(g).
4*g*(g + 335)**2
Let g(n) be the second derivative of 15*n + 102*n**3 + 11 - 578*n**2 - 27/4*n**4. Factor g(m).
-(9*m - 34)**2
Let i(j) be the second derivative of j**5/180 + j**4/12 + 16*j**2 + 39*j. Let f(n) be the first derivative of i(n). Factor f(m).
m*(m + 6)/3
Let x = -29 - -33. Let r(i) be the first derivative of 20*i**3 + 77*i - 9*i**x - 29*i + 14 + 64*i**2 - 29. Find h such that r(h) = 0.
-2/3, 3
Let y(x) be the third derivative of 1/32*x**4 + 0*x**3 + 1/840*x**7 - 1/48*x**5 - 49*x**2 + 0 + 0*x + 1/480*x**6. Determine u, given that y(u) = 0.
-3, 0, 1
Let -896 + 500*r**4 + 6688*r - 4178*r**2 - 12290*r**2 - 92*r**2 + 13400*r**3 = 0. What is r?
-28, 2/5
Let n(r) = -6*r - 28. Let u be n(-8). Let b(q) = -2*q**2 - 16*q + 6. Let m be b(-7). Factor -3*y**2 + 2*y**2 - 6*y**2 + 2*y**2 + u*y - m.
-5*(y - 2)**2
Let u = -616 + 784. Suppose -60 = 3*o - u. Factor -15*s - 192*s**4 + 48*s**3 + 3/2 + o*s**2.
-3*(2*s + 1)*(4*s - 1)**3/2
Let j(i) be the second derivative of i**6/72 + i**5/6 - 25*i**4/24 + 2*i**3 + 45*i - 2. Let x(h) be the second derivative of j(h). Let x(d) = 0. What is d?
-5, 1
Let v(w) be the second derivative of 2*w**7/147 - 4*w**6/35 - 3*w**5/7 - 8*w**4/21 + w + 119. Determine c so that v(c) = 0.
-1, 0, 8
Let w(r) be the first derivative of -2*r**3/3 - 275*r**2 - 1092*r + 178. Find q such that w(q) = 0.
-273, -2
Suppose 31*a - 6561 = -1291. Let b be (-12*(-4)/30)/(374/a). Factor 8/11*n - 2/11*n**2 - b.
-2*(n - 2)**2/11
Let w be -68590*(-1)/12 - (758 - 758). Factor 1805/2*x + 5/6*x**3 + w + 95/2*x**2.
5*(x + 19)**3/6
Suppose 1072*s = 1081*s + 99. Let b be ((-2)/(-4))/(s/(-198)). Factor 21/2 - 3/2*l**2 - b*l.
-3*(l - 1)*(l + 7)/2
Factor -405 - 20923*g + 3*g**2 - 20643*g + 41164*g.
3*(g - 135)*(g + 1)
Let f(d) be the first derivative of -17*d**3/3 - 65*d**2/2 + 2*d - 56. Let b(h) = -h**3 + h**2 + h - 2. Let l(s) = 5*b(s) + 5*f(s). Factor l(n).
-5*n*(n + 8)**2
Let a(u) = -3*u - 22. Let x be (36/(-144))/(4/128). Let f be a(x). Let 72/7 + 2/7*r**f + 24/7*r = 0. Calculate r.
-6
Let a = -26411 - -26411. Let k(r) be the third derivative of -33*r**2 + 0 - 1/22*r**4 + 1/330*r**5 + 0*r + a*r**3. Factor k(x).
2*x*(x - 6)/11
Let f(z) be the second derivative of 3*z - 2 + 7/90*z**5 + 1/27*z**3 + 0*z**2 - 4/27*z**4. Solve f(r) = 0 for r.
0, 1/7, 1
Suppose 0 = -6*c + 17970 - 17958. Determine w, given that 9/2*w + 3/4*w**c + 27/4 = 0.
-3
Let j be 6 + (6 - 18) + (4 - -5). Factor 3/7*v**5 - 27/7*v**j + 0 - 9/7*v**4 + 0*v - 15/7*v**2.
3*v**2*(v - 5)*(v + 1)**2/7
Let j(z) be the third derivative of -5*z**8/336 - 17*z**7/21 - 349*z**6/24 - 85*z**5 - 375*z**4/2 + 85*z**2 - 7*z. What is x in j(x) = 0?
-15, -2, 0
Let r(c) be the third derivative