derivative of j**5/20 - 43*j**4/12 - 23*j**3/3 + 44*j**2 - j + 308. Let r(q) = 0. Calculate q.
-2, 1, 44
Find t, given that -2209/5*t + 0 - 1/5*t**3 - 94/5*t**2 = 0.
-47, 0
Suppose 10*y + 9 = 19. Let m(r) = 5*r**4 + 13*r**3 - 7*r**2 - 49*r - 32. Let n(q) = q**4 + q**3 + q**2 - q. Let i(u) = y*n(u) - m(u). Factor i(w).
-4*(w - 2)*(w + 1)*(w + 2)**2
Solve -1/10*h**5 - 9/2 - 1/2*h**4 - 9/10*h + h**3 + 5*h**2 = 0.
-5, -3, -1, 1, 3
Let b(z) be the third derivative of z**6/40 + 41*z**5/20 - 65*z**4/4 + 44*z**3 - 5981*z**2. Let b(s) = 0. Calculate s.
-44, 1, 2
Let z = -118 + 116. Let f(v) = 22*v**2 - 41*v + 69. Let m(p) = -5*p**2 + 10*p - 17. Let t(c) = z*f(c) - 9*m(c). Solve t(s) = 0 for s.
3, 5
Let b(o) be the second derivative of -2*o**6/195 - 167*o**5/130 - 574*o**4/13 + 588*o**3/13 + 2*o - 2266. Factor b(c).
-2*c*(c + 42)**2*(2*c - 1)/13
Factor 60*g - 11 + 11/4*g**2.
(g + 22)*(11*g - 2)/4
Factor 236/3*n**3 - 124/3*n**4 + 4/3*n**5 - 116/3*n**2 + 0*n + 0.
4*n**2*(n - 29)*(n - 1)**2/3
Suppose -16/9*b + 1700/9 - 1/9*b**2 = 0. What is b?
-50, 34
Let i be (-2247)/(-27) + (80/45 - 2). Solve i*l**4 + 80*l**2 - 50*l**4 - 16*l**5 + 16*l + 60*l**3 - 53*l**4 = 0.
-2, -1, -1/4, 0, 2
Let t(f) = f - 17. Let p be t(20). Factor -72 - s - 22*s**2 + 37*s**2 + 6*s + s - 3*s**p.
-3*(s - 4)*(s - 3)*(s + 2)
Suppose 0 = 3*p - 4*k + 10, -5*k - 2 = -3*p - 16. What is z in 45*z**4 - 43*z**4 - 13 + 2*z**3 - 7 + 46*z - 30*z**p = 0?
-5, 1, 2
Let z be -1 - ((-64)/12 + (-2)/3). Let n be 2*z/((-10)/(-3)). Factor -60 - 171*h + 125*h**2 + 39*h**3 + 251*h - 4*h**n.
5*(h + 2)**2*(7*h - 3)
Let t be 885/70 + 1/(-7). What is k in t - 35/4*k - 5*k**2 + 5/4*k**3 = 0?
-2, 1, 5
Suppose 56 = c + 53. Let v(a) = -3*a + 13. Let n be v(c). Determine q, given that 3*q**3 - 5*q**2 - 38*q**n - q**2 + 44*q**4 - 3*q**5 = 0.
-1, 0, 1, 2
Let u(y) be the first derivative of 0*y**2 + 0*y**3 + 0*y + 65 + 2/25*y**5 - 1/15*y**6 + 0*y**4. Factor u(x).
-2*x**4*(x - 1)/5
Let u(c) be the second derivative of 1/80*c**5 + 5/24*c**4 + 1/8*c**3 - 31 - 27/4*c**2 - 7*c. Determine j, given that u(j) = 0.
-9, -3, 2
Let j(y) be the third derivative of -5*y**8/2016 - 5*y**7/126 - 2*y**6/9 - 19*y**5/36 - 25*y**4/48 + y**2 - 1588*y. Find x such that j(x) = 0.
-5, -3, -1, 0
Let i(p) be the first derivative of 18/5*p**5 - 9 - 9*p**4 + 0*p + 8*p**3 - 1/2*p**6 + 0*p**2. Factor i(h).
-3*h**2*(h - 2)**3
Let n(y) = -3*y**2 - 244*y - 420. Let i(v) = 12*v**2 + 983*v + 1680. Let k(q) = 4*i(q) + 17*n(q). Factor k(u).
-3*(u + 2)*(u + 70)
Let r = -3418 - -3427. Let q(a) be the first derivative of 19 - r*a**2 + 10/9*a**3 + 20/3*a. What is y in q(y) = 0?
2/5, 5
Suppose -n + 5*r + 2 = 0, 5*r - 40 = -3*n + 3*r. Suppose 2*f + 2*i = 18, f - i + 2 = 5. Solve -3 - f*a - 4 + 10*a**2 - n*a**2 + 3 = 0.
-2, -1
Solve 7*i + 1 - i - 2*i**2 + 17 + 6 - i**2 = 0 for i.
-2, 4
Let f(n) = -28*n**3 + 26*n**2 + 20*n - 70. Let h(c) = 3*c**3 - c**2 - c - 3. Let y(o) = -f(o) - 10*h(o). Factor y(j).
-2*(j - 2)*(j + 5)**2
Suppose 10*p = 2*a + 6*p - 88, 0 = -5*a - p + 176. Suppose -a*u = -42*u + 18. Factor -4/5*o**4 + 16/5 + 4*o**u - 4/5*o**5 + 4/5*o**2 - 32/5*o.
-4*(o - 1)**3*(o + 2)**2/5
Suppose -1 = -x + 4*b, -8*b + 7*b = x - 21. Suppose x*d - 12*d = 25. Factor -2*t**d + 3*t**2 + 368*t**3 + 12*t + t**2 + 12*t**4 - 16 - 390*t**3 + 12*t.
-2*(t - 2)**3*(t - 1)*(t + 1)
Let o(g) = 5*g - 26. Let a = 36 - 24. Let s be o(a). Solve s*y**4 + 3*y**2 - 3*y**3 - 21*y**4 + 2*y - 15*y**4 = 0.
-2, -1/2, 0, 1
Let r be (85/(-68))/(-5) + 62/8. Let 4*d**4 + r - 57*d**3 + 7*d**4 - 314*d + 98*d**2 + 254*d = 0. What is d?
2/11, 1, 2
Let h(t) = 3015*t**2 - 452995*t + 15. Let y(m) = -m**3 - m**2 - 2*m - 3. Let s(d) = h(d) + 5*y(d). Factor s(u).
-5*u*(u - 301)**2
Let o(k) = k**2 - 12*k**2 - 12*k**5 + 27*k**2 + 76*k**3 - 96*k**4. Let a(p) = 4*p**5 + 32*p**4 - 26*p**3 - 5*p**2. Let v(j) = 16*a(j) + 5*o(j). Factor v(d).
4*d**3*(d - 1)*(d + 9)
Let b(h) be the second derivative of h**7/56 + h**6/40 - 477*h**5/80 - 313*h**4/16 + 79*h**3/4 + 117*h**2 - 3834*h. Let b(c) = 0. Calculate c.
-12, -2, -1, 1, 13
Let l(g) = -2*g**3 - g**2 - g. Let z(u) = 5*u**3 + 139*u**2 + 376*u - 516. Let y(f) = -l(f) - z(f). Factor y(c).
-3*(c - 1)*(c + 4)*(c + 43)
Let v(u) be the second derivative of -1/3*u**3 - 1 + 2*u + 3/8*u**4 - 3*u**2 + 1/60*u**6 + 3/20*u**5. Determine z, given that v(z) = 0.
-3, -2, 1
Let w = -767987/6240 - -1600/13. Let f(u) be the third derivative of -1/64*u**4 + w*u**5 + 0*u + 0*u**3 + 0 + 28*u**2. Solve f(o) = 0 for o.
0, 3
Let a = 3061 + -4795. Let y = a - -8671/5. Factor -1/5*w + 0 + y*w**2.
w*(w - 1)/5
Let u(v) be the first derivative of v**4/44 + 2*v**3/33 + 2330. Factor u(l).
l**2*(l + 2)/11
Let n(s) be the third derivative of -s**7/315 - s**6/60 + 11*s**5/30 + 55*s**4/36 - 100*s**3/3 - 463*s**2. Find p, given that n(p) = 0.
-5, 3, 4
Let x(n) = -11*n**2 - 170*n - 1345. Let d(p) = -177*p + 660 - 2678 - 16*p**2 - 187*p + 108*p. Let v(u) = -5*d(u) + 7*x(u). Factor v(y).
3*(y + 15)**2
Solve -216/5*t**2 + 6/5*t**5 - 84/5*t**4 + 0 + 0*t + 294/5*t**3 = 0.
0, 1, 4, 9
Let c(i) = -i**2 + 10*i - 26. Let p be c(8). Let n be (49/p + 4)*(-15)/9. Factor n*a**2 + 9/2*a + 3.
3*(a + 1)*(a + 2)/2
Let m = -354 - -358. Let 6*o**5 - 50*o**4 + 25*o**4 + 53*o**4 - 6*o + 32*o**3 + m*o**2 = 0. What is o?
-3, -1, 0, 1/3
Let l(c) be the first derivative of -2*c**3/15 + 4*c**2 + 192*c/5 + 172. Let l(y) = 0. Calculate y.
-4, 24
Let r = -566 + 566. Let u(z) be the first derivative of r*z + 2 + 2/15*z**5 + 0*z**2 + 0*z**3 - 1/12*z**4 - 1/18*z**6. Factor u(f).
-f**3*(f - 1)**2/3
Suppose -4*v - 5*x = 61, 0 = -5*v + 24*x - 19*x - 20. Let g be (60/54 + 0)*v/(-15). Solve -1/6*p**2 + 5/6*p - g = 0.
1, 4
Let y(g) be the third derivative of 320*g**2 - 5476/3*g**3 + 49/10*g**5 + 0*g - 1/60*g**6 - 444*g**4 + 0. Suppose y(h) = 0. What is h?
-1, 74
Determine x so that 15668/9*x + 30685778/9 + 2/9*x**2 = 0.
-3917
Let c(z) = 33*z**2 + 36*z**2 - 981*z + 11094 - 33*z**2. Let h(t) = -5*t**2 + 140*t - 1585. Let u(m) = 2*c(m) + 15*h(m). Solve u(i) = 0 for i.
23
Suppose f + 208 = 37. Let o = -101 - f. Factor -15*z - o - z**2 + 0*z**2 + 60 - 4*z**2.
-5*(z + 1)*(z + 2)
Let s(j) = -j**3 + 8*j**2 - 46. Let g be s(7). Let w be (-1 - 1)/((-4)/10). Factor -8*k + 5*k**g + w - 7*k + 13 - 8.
5*(k - 1)**2*(k + 2)
Let h(s) be the second derivative of -s**6/90 - 52*s**5/5 - 2704*s**4 - 2451*s. Factor h(f).
-f**2*(f + 312)**2/3
Let i(s) be the first derivative of 104 + 0*s + 7/3*s**2 + 1/15*s**5 - 1/9*s**3 - 7/6*s**4. Factor i(l).
l*(l - 14)*(l - 1)*(l + 1)/3
Let g(w) be the first derivative of -w**4/6 - 457*w**3/9 - 4370*w**2 - 4332*w - 517. Let g(k) = 0. What is k?
-114, -1/2
Let l(z) be the second derivative of z**7/42 - 5*z**6/12 + 9*z**5/40 + 37*z**4/24 - 11*z**3/12 - 3*z**2 - 4723*z. Solve l(d) = 0.
-1, -1/2, 1, 12
Let x(a) be the first derivative of a**3/6 - 791*a**2/2 + 625681*a/2 + 3927. Factor x(d).
(d - 791)**2/2
Let c(s) be the second derivative of -11/14*s**4 - 1/70*s**6 + 6*s**3 - 21/2*s**2 - 9/35*s**5 + 0 + 111*s. Suppose c(w) = 0. What is w?
-7, 1
Let b(w) be the first derivative of w**6/24 + 61*w**5/20 + 119*w**4/16 + 59*w**3/12 + 3328. Solve b(x) = 0 for x.
-59, -1, 0
Let n = -1079462 - -1079510. Factor -n + 4/5*u**3 - 224/5*u - 44/5*u**2.
4*(u - 15)*(u + 2)**2/5
Let i(s) be the first derivative of -52*s**3/27 - 106*s**2/9 - 160*s/9 - 639. Let i(q) = 0. What is q?
-40/13, -1
Let 108*m**2 - 24*m**5 + 21*m**3 - 23*m**4 + 2*m**5 - 4*m**4 + 25*m**5 + 9*m**3 - 168*m = 0. What is m?
-2, 0, 2, 7
Suppose -3*q = -7*q + 7*q + q. Let f(b) be the third derivative of 0 + 9/20*b**5 + 8*b**3 + q*b - 14*b**2 + 3*b**4 + 1/40*b**6. Find h, given that f(h) = 0.
-4, -1
Let l(j) be the second derivative of -625*j**4/14 - 200*j**3/21 - 16*j**2/21 + 3295*j. Find b, given that l(b) = 0.
-4/75
Let z(k) be the second derivative of k**6/90 - k**5/100 - 7*k**4/60 + 83*k**3/3 + 70*k. Let q(v) be the second derivative of z(v). Find c, given that q(c) = 0.
-7/10, 1
Factor 19*p**3 - 52*p**3 - 3*p**4 + 14*p**3 + 4*p**2 - p**4 + 16*p**3 - p**5 + 4*p.
-p*(p - 1)*(p + 1)*(p + 2)**2
Let w = -67072981/158795 + 32/12215. Let x = w + 423. Determine r, given that 0 + x*r - 2/13*r**2 = 0.
0, 4
Suppose x - a + 2 = -0*x, 5*x - 4 = -2*a. Let i be x + 3/(-6)*-14. Fact