ivative of -1/9*v**3 + 0 + 1/30*v**5 - 1/18*v**4 + 1/3*v**2 + 10*v. Factor g(h).
2*(h - 1)**2*(h + 1)/3
Let z(k) be the third derivative of -4*k**5/15 - 19*k**4/24 - k**3/2 + 3*k**2 - 24. What is b in z(b) = 0?
-1, -3/16
Let p(d) = -d**2 + 107*d - 3. Let t(y) = -10*y**2 + 1285*y - 35. Let n(h) = 35*p(h) - 3*t(h). Factor n(b).
-5*b*(b + 22)
Let f(x) be the second derivative of 27*x**5/140 - 39*x**4/14 - 58*x**3/7 - 60*x**2/7 - 40*x. Factor f(y).
3*(y - 10)*(3*y + 2)**2/7
Factor -33048*x**4 + 0*x**2 + 33049*x**4 - 4*x**3 + 4*x**2.
x**2*(x - 2)**2
Let d(i) be the second derivative of -5*i**7/42 + 19*i**6/6 - 25*i**5/2 + 40*i**4/3 + 2*i + 37. Suppose d(r) = 0. Calculate r.
0, 1, 2, 16
Let w(d) be the second derivative of -2*d + 0*d**2 + 0 + 1/27*d**4 + 0*d**3 + 1/45*d**5. Find h, given that w(h) = 0.
-1, 0
Let i(m) = 10*m**2 - 967*m - 29759. Let b(k) = -4*k**2 + 484*k + 14880. Let x(z) = -9*b(z) - 4*i(z). Find a, given that x(a) = 0.
-61
Let s(n) be the first derivative of 0*n + 17 - n**2 + 3/2*n**4 + 4/5*n**5 + 0*n**3. Factor s(c).
2*c*(c + 1)**2*(2*c - 1)
Let q(r) be the third derivative of r**6/600 - r**4/40 + r**3/15 + 29*r**2 + 1. Determine l, given that q(l) = 0.
-2, 1
Let q(v) be the second derivative of 0 + 0*v**2 - 1/6*v**3 + 1/20*v**5 - 1/12*v**4 + 4*v + 1/30*v**6. Factor q(g).
g*(g - 1)*(g + 1)**2
Let q(y) be the first derivative of 9 + 8/21*y**3 + 5/42*y**4 + 4/7*y**2 + 9*y + 1/70*y**5. Let h(i) be the first derivative of q(i). Factor h(f).
2*(f + 1)*(f + 2)**2/7
Let k = -41251/3 - -13751. Find s, given that k*s**4 + 0*s**2 + 4/3*s**3 + 0 + 0*s = 0.
-2, 0
Let d(w) be the second derivative of -w**6/150 + 3*w**5/100 - w**4/60 - w**3/10 + w**2/5 + 2*w + 17. Factor d(y).
-(y - 2)*(y - 1)**2*(y + 1)/5
Let z(d) = -9*d**2 + 228*d - 2649. Let q(x) = 11*x**2 - 227*x + 2651. Let p(t) = 2*q(t) + 3*z(t). Solve p(w) = 0 for w.
23
Let l(u) be the second derivative of u**6/72 + u**5/12 + 5*u**4/36 + u**2/2 - 14*u. Let x(z) be the first derivative of l(z). Factor x(t).
5*t*(t + 1)*(t + 2)/3
Let a(p) = 61*p**3 - 34*p**2 + 13*p. Let h(t) = 31*t**3 - 17*t**2 + 6*t. Let i(z) = -4*a(z) + 9*h(z). Solve i(g) = 0 for g.
0, 1/5, 2/7
Determine s so that -2704/3*s + 936*s**2 - 35*s**3 + 1/3*s**4 + 0 = 0.
0, 1, 52
Let h = 11951 + -174493/15. Let v = h - 318. Factor 2/15*j + 0 + v*j**2.
2*j*(j + 1)/15
Let p be (-2)/(-6) + 8/3. Let o = 3781 + -3778. Let 0 + 3/2*l**2 - 3/2*l**o + p*l = 0. Calculate l.
-1, 0, 2
Let y(s) be the first derivative of -s**6/4 + s**5/10 + 5*s**4/8 - s**3/6 - s**2/2 - 213. Let y(p) = 0. Calculate p.
-1, -2/3, 0, 1
Let s be (1/(-35))/((-22)/55). Let o(m) be the first derivative of 0*m**3 - s*m**4 - 4/7*m - 2 + 3/7*m**2. Factor o(v).
-2*(v - 1)**2*(v + 2)/7
Let b be (14124/54)/22 - (0 - -3 - -4). Factor 16/3*t**3 + 16/9*t + 2/9 + 2*t**4 + b*t**2.
2*(t + 1)**2*(3*t + 1)**2/9
Let a be (0 + (5 - 3))*3/2. Let g(v) = -v. Let n be g(-5). Let 1 + a - n + p**2 = 0. What is p?
-1, 1
Let h(d) be the first derivative of -d**3/6 + 9*d**2 - 35*d/2 - 237. Find i, given that h(i) = 0.
1, 35
Let v(n) be the first derivative of -4*n**5/5 + 44*n**3/3 - 36*n**2 + 32*n + 703. Determine j, given that v(j) = 0.
-4, 1, 2
Determine l, given that 63/4*l**3 - 45/2*l + 39/4*l**2 - 6 + 3*l**4 = 0.
-4, -2, -1/4, 1
Let b(i) be the second derivative of i**5/270 - i**4/9 + 4*i**3/3 - 11*i**2/2 + 8*i. Let k(s) be the first derivative of b(s). Factor k(t).
2*(t - 6)**2/9
Let y = 153/88 + -109/88. Factor 2*j**3 + 2*j - y - 3*j**2 - 1/2*j**4.
-(j - 1)**4/2
Let k(v) = -v**3 + 19*v**2 - 15*v + 17. Let d be k(12). Factor -d*t**2 - 6 - 6 - 8 - 229*t - 31*t.
-5*(13*t + 2)**2
Suppose 0 + 4/3*f**2 - 28/3*f = 0. Calculate f.
0, 7
Let q = 94 + -134. Let f be 7/((-140)/8)*q. Solve -16*j - 14*j**4 + 2 + f*j**3 + 4*j**5 - 4*j**2 + 7*j + 5*j = 0.
-1/2, 1
Let a(h) be the second derivative of h**8/1120 + h**7/280 - h**5/40 - 3*h**4/4 + 6*h. Let n(v) be the third derivative of a(v). Solve n(g) = 0 for g.
-1, 1/2
Let x = 448 - 446. Let g(z) be the third derivative of 0*z + z**x + 0*z**3 + 1/420*z**6 + 0 + 1/84*z**4 + 1/105*z**5. Let g(u) = 0. Calculate u.
-1, 0
Suppose 381 - 408 = -9*z. Suppose 10/3*v**2 + 2/3*v**z + 8/3 + 16/3*v = 0. What is v?
-2, -1
Let h = 22 + -18. Let 0*w**4 + 3*w**5 - 4*w**h + w**4 = 0. Calculate w.
0, 1
Let c(w) = w**3 - 19*w**2 + 82*w - 22. Let g be c(6). Find z, given that -2/17*z**g + 8/17 - 6/17*z = 0.
-4, 1
Suppose -28 = -2*w + 3*s + s, w = -2*s - 6. Factor -125*j**2 - 119*j**4 - 100*j**3 + 280*j**4 - 5 + 239*j**w + 50*j + 2*j**5 + 318*j**5.
5*(j + 1)**2*(4*j - 1)**3
Suppose w + 15 = -5*n, 4*n + 6*w + 1 = 3*w. Let p be 6*-7*n/24. Solve 0 - 2*u**2 - p*u + 1 - 3 - u**2 = 0 for u.
-2, -1/3
Factor 1/2*l**3 - 13/2*l**2 - 75/2 + 55/2*l.
(l - 5)**2*(l - 3)/2
Let m(v) be the first derivative of 9/20*v**4 + 1/5*v**3 + 3/25*v**5 - 6/5*v - 35 - 9/10*v**2. Suppose m(i) = 0. What is i?
-2, -1, 1
Let k(f) = f**3 + 5*f**2 - 19*f - 7. Let p be k(-9). Let u = -160 - p. Suppose 2/5*i**2 - 2/5*i**3 + 4/5*i + u = 0. Calculate i.
-1, 0, 2
Let l(j) be the third derivative of -j**6/360 + j**5/90 - j**4/72 + 60*j**2. Factor l(i).
-i*(i - 1)**2/3
Let y = 9 - 14. Let c = -4 - y. Let c + 4 + 3*v**5 - 6*v**3 + 3*v - 5 = 0. Calculate v.
-1, 0, 1
Let g(l) be the second derivative of l**8/13440 + l**7/1680 - l**6/1440 - l**5/80 - l**4/3 - 20*l. Let r(y) be the third derivative of g(y). Factor r(k).
(k - 1)*(k + 1)*(k + 3)/2
Let k(x) be the second derivative of -x**9/30240 + x**8/13440 + x**7/5040 - x**6/1440 - 3*x**4/4 - 5*x. Let c(f) be the third derivative of k(f). Factor c(d).
-d*(d - 1)**2*(d + 1)/2
Let q(k) = k**3 - 96*k**2 + 786*k - 259. Let r be q(87). Factor 12/5*j + 8/5*j**3 - 22/5*j**r + 2/5*j**4 + 0.
2*j*(j - 1)**2*(j + 6)/5
Let k be 47/105 + 2/7. Let z = k + 13/5. Factor 34/3*l + 4 + z*l**2.
2*(l + 3)*(5*l + 2)/3
Suppose 4*v - 17 = 5*w, -3*v - 4*w - 22 = -2*v. Let o(h) = 3*h + 8. Let i be o(v). Determine t, given that 6/13*t**i - 4/13 + 10/13*t = 0.
-2, 1/3
Solve 96 - 18*o**3 - 2*o**4 + 96 - 192 - 14*o - 30*o**2 = 0.
-7, -1, 0
Suppose 4*t + 2*u = -4, 0 = -3*t + 4*u - 2 + 10. Let c be (-2 - t) + 13/6. Factor 1/3 + 0*b**2 + c*b**3 - 1/2*b.
(b - 1)**2*(b + 2)/6
Let l = -17813 + 17815. What is n in 34/3*n**3 + 0*n + 56/3*n**5 + 86/3*n**4 + 4/3*n**l + 0 = 0?
-1, -2/7, -1/4, 0
Let x = 57 + -9. Suppose 6*r**2 + x*r - 3*r**5 + 12*r**4 - 48*r - 15*r**3 = 0. What is r?
0, 1, 2
Let o(p) = 2*p**3 + 17*p**2 + 7*p - 8. Let x be o(-7). Factor -x - 5*l**2 - 144 + 60*l + 54.
-5*(l - 6)**2
Let x(v) be the third derivative of -v**7/280 + 83*v**6/480 - 11*v**5/20 + 13*v**4/24 - 2*v**2 + 146. Determine a, given that x(a) = 0.
0, 2/3, 1, 26
Let c = -8720 - -43602/5. Factor -2/15*g**2 - c*g - 4/15.
-2*(g + 1)*(g + 2)/15
Let u = 91 + -89. Suppose 2*l - 7 = g + 1, -u*l + 4*g = -20. Suppose -4/3*o - 1/3*o**l - 1 = 0. Calculate o.
-3, -1
Let x(i) be the third derivative of 0 + 0*i + 14*i**2 - 5/3*i**3 - 1/6*i**4 - 1/150*i**5. Factor x(y).
-2*(y + 5)**2/5
Suppose -4*r + 323 = -33. Let c = -89 + r. Determine h, given that 0*h**2 + c + 0*h + 2/9*h**3 + 2/9*h**4 = 0.
-1, 0
Let q(n) be the first derivative of 4*n**2 - 2*n - 12 - 8*n**3 - 13*n**3 + 19*n**3. Suppose q(l) = 0. What is l?
1/3, 1
Let u(h) be the first derivative of 1/10*h**5 + 1/3*h**4 + 0*h**3 + 0*h**2 + 6 + h. Let g(k) be the first derivative of u(k). Suppose g(o) = 0. Calculate o.
-2, 0
What is h in 4*h**3 + 4*h**3 + 50 - 100*h**2 + 2*h**3 - 5*h**5 - 4*h - h + 50*h**4 = 0?
-1, 1, 10
Let y(q) be the first derivative of q**5/20 + 13*q**4/16 - 7*q**3 + 27*q**2/2 + 474. Solve y(j) = 0.
-18, 0, 2, 3
Let q = -93 + 97. Let v(z) be the first derivative of 0*z**3 - z - 1/8*z**q + 4 + 3/4*z**2. Determine r so that v(r) = 0.
-2, 1
Let i(v) = -v**3 + 2*v**2 + 6*v - 2. Let t = -111 - -109. Let s be i(t). Determine u, given that -3/2 - u + 1/2*u**s = 0.
-1, 3
Determine v, given that 1/5*v**3 + 51*v + 31/5*v**2 + 45 = 0.
-15, -1
Let p(g) = g**2 - g - 1. Let w(u) = -8*u**5 - 84*u**4 - 296*u**3 - 378*u**2 - 134*u - 6. Let z(s) = -6*p(s) + w(s). What is m in z(m) = 0?
-4, -2, -1/2, 0
Let n(x) = x**2 + 32*x + 87. Let q be n(-29). Find u, given that 0*u**3 + 0*u + 0*u**2 + 5/6*u**5 - 1/3*u**4 + q = 0.
0, 2/5
Let z(v) be the second derivative of v**4/72 + 13*v**3/36