derivative of 0 - 8/5*x**2 - 1/30*x**4 - 82*x - 3/5*x**3. Factor f(h).
-2*(h + 1)*(h + 8)/5
Suppose 0 = -h + 2*h + 4, -5*m - 2*h + 2 = 0. What is b in 4*b - 9*b**4 - 48*b**2 + 14*b - 6*b**4 + 44*b**3 - b**4 + m*b**5 = 0?
0, 1, 3
Let x be (4 + (-80)/12)*220/1848*-45. Factor -6/7*o**2 - 2*o**3 + x + 2/7*o**4 + 110/7*o.
2*(o - 5)**2*(o + 1)*(o + 2)/7
Let -2/3*w**3 - 14/3*w**2 + 0 - 8*w = 0. What is w?
-4, -3, 0
Let a(f) = f - 6. Let t be a(11). Solve -29*y - 30 + 6*y - 3*y - 3*y**2 + t*y = 0.
-5, -2
Let i be (-8 + 7)*-67 - 6. Suppose -i = -17*u - 10. Factor 4/9 - 46/9*y**2 - 16/9*y**u - 26/9*y.
-2*(y + 1)*(y + 2)*(8*y - 1)/9
Let t = -5100498/5 + 1020102. Let 7*f**3 + t*f + 44/5*f**2 + 0 + 8/5*f**4 = 0. What is f?
-2, -3/8, 0
Let h be (5 - (-8)/(-4))*(-16)/(-6). Let w be 9 + 1 + -2 - (5 - h). Factor -5*m**2 + 11*m - 2*m + w*m + m**2.
-4*m*(m - 5)
Factor 495 + 490*a**2 - 1975/2*a + 5/2*a**3.
5*(a - 1)**2*(a + 198)/2
Let z(l) = 2*l + 6. Let a be z(5). Let t(g) = g - 11. Let u be t(a). Factor 21*w**2 - 6 - 4*w**3 - u*w**2 - 17*w + 14 - 3*w.
-4*(w - 2)*(w - 1)**2
Let m be (-6 - 92/(-16))/(1/(-1)). Let r(t) be the second derivative of 0*t**2 + m*t**4 + 1/2*t**3 - 25*t + 0. Factor r(u).
3*u*(u + 1)
Let j = 336584/5 - 67312. Determine h, given that 4/5*h**4 + 0 + j*h**2 + 8/5*h + 18/5*h**3 = 0.
-2, -1/2, 0
Let g(k) = -2*k + 1. Let z(x) = x**2 - 33*x - 107. Let c be z(36). Let p(y) = 2*y**2 + 3*y - 2. Let r(q) = c*p(q) + g(q). Find s, given that r(s) = 0.
-1, 1/2
Let w = -139839 - -279681/2. Find f, given that 1/2*f**3 + 1/2 + w*f**2 + 3/2*f = 0.
-1
Determine c so that -560/3 + 2/3*c**2 - 18*c = 0.
-8, 35
Suppose 2*j = -g + 16, 20 = 115*g - 119*g + 6*j. Solve -17/4*o**2 - 1/2*o**3 + 0 + 17/4*o**g + 1/2*o = 0 for o.
-1, 0, 2/17, 1
Let q(o) = o. Let a be q(0). Suppose -h + 3 = -a*h. Determine m, given that 59*m - 18 - m**3 + m**3 + h*m**3 - 80*m = 0.
-2, -1, 3
Let f(k) be the third derivative of 231*k**2 + 0*k + 0 + 5/54*k**4 - 8/9*k**3 + 1/270*k**5. Suppose f(x) = 0. Calculate x.
-12, 2
Factor -9/4*i**2 + 525/4 + 15*i.
-3*(i + 5)*(3*i - 35)/4
Suppose -v + 5*j - 4 = v, 5*v - 4*j = 7. Suppose -16*l**3 - 6*l**2 + 11*l**v + 14*l + 2*l**3 - 5*l = 0. What is l?
-3, 0, 1
Let s(d) be the first derivative of -2*d**5/55 - 4*d**4 + 22*d**3 - 458*d**2/11 + 368*d/11 - 1173. Suppose s(l) = 0. What is l?
-92, 1, 2
Let 4995*u**5 + 2505*u**4 - 36340/3*u**3 + 16000/3*u**2 + 80/3 - 2240/3*u = 0. What is u?
-2, 2/37, 2/9, 1
Let r be -4 + 1 - (244/854 + 3 + (-976)/28). Find j, given that 48/7*j**4 + 152/7*j**2 - 4/7*j**5 + 180/7*j - r - 176/7*j**3 = 0.
-1, 1, 2, 5
Factor 11*b**3 + 6*b**2 + 253*b**2 - 34*b**2 + 69*b - 14*b**3 - 291*b.
-3*b*(b - 74)*(b - 1)
Let h(c) = 20*c**3 - 20*c**2 - 95*c + 360. Let w(s) = 23*s**3 - 13*s**2 - 96*s + 360. Let x(a) = 6*h(a) - 5*w(a). Solve x(k) = 0.
-3, 2, 12
Let h(x) be the first derivative of -x**4/4 - 31*x**3/3 - 110*x**2 + 252*x - 4944. Let h(b) = 0. Calculate b.
-18, -14, 1
Let w(m) be the third derivative of m**6/480 - 2483*m**5/80 + 6165289*m**4/32 - 15308412587*m**3/24 + 17*m**2 - 69*m - 2. Determine t, given that w(t) = 0.
2483
Factor -294*m + 1/6*m**4 + 83/6*m**3 + 0 + 280*m**2.
m*(m - 1)*(m + 42)**2/6
Suppose 0 = 2*h - 2*f - 47 - 9, 3*h - 72 = -f. Let z = 96 - 91. Find j such that -12 + 4*j + 36*j - 43 - h - z*j**2 = 0.
4
Let z(g) = g**2 - 8*g - 35. Let w be z(22). Let h = w - 271. Factor -3 + 3/4*n**h + 0*n.
3*(n - 2)*(n + 2)/4
Let h(v) be the first derivative of v**5/15 + 5*v**4 + 704*v**3/9 + 472*v**2 + 1104*v - 6244. Factor h(y).
(y + 2)*(y + 6)**2*(y + 46)/3
Let m be (-3)/2 + 14844/504. Let p = -83/3 + m. Factor 0*o + 0*o**2 + p*o**3 + 0.
2*o**3/7
Suppose 1712*g = 1714*g - 6. Let y = -1/9810 + 211897/9810. Suppose 36/5*c**2 + 108/5 + 4/5*c**g + y*c = 0. Calculate c.
-3
Let v(l) be the first derivative of l**5/20 - 9*l**4/16 - l**3 + 31*l**2/2 - 36*l + 772. Factor v(k).
(k - 9)*(k - 2)**2*(k + 4)/4
Suppose 40*x + 4851 = 73*x. Suppose -18*d = 31*d - x. Find z, given that -20/3*z**4 + 16/3*z**d + 0*z - 4/3*z**2 + 8/3*z**5 + 0 = 0.
0, 1/2, 1
Factor 46/9*n**2 + 2/9*n**3 - 152/9*n + 104/9.
2*(n - 2)*(n - 1)*(n + 26)/9
Let f(t) = -7*t**2 + 19*t - 8. Let r(g) = 8*g**2 - 20*g + 7. Let d = 49 - 33. Suppose -9 = -5*l + d. Let z(c) = l*f(c) + 4*r(c). Factor z(o).
-3*(o - 4)*(o - 1)
Find d, given that 2/11*d**2 + 1120/11 + 108/11*d = 0.
-40, -14
Let o(q) = 4*q**2 - 5*q - 6. Let i be o(-1). Find h, given that -1701*h + 1641*h + h**4 + 20 - 30*h**i + 65*h**2 + 4*h**4 = 0.
1, 2
Let r(i) be the second derivative of i**4/60 - 55*i**3/6 - 138*i**2/5 + 22*i + 7. Factor r(x).
(x - 276)*(x + 1)/5
Let w = -25193/16 - -1577. Let g = w + -101/48. What is c in -2/3*c + 4/3*c**3 + g*c**2 - c**4 + 0 = 0?
-2/3, 0, 1
Let a = 407 + -435. Let k be a/126 - ((-38)/9 - -1). Determine q so that -4/3*q**k + 10/9*q + 4/9*q**2 + 2/9*q**5 - 2/3 + 2/9*q**4 = 0.
-3, -1, 1
Let p be -3 + (-427)/(-189) - -1. Let z = p - 5/54. Factor 1/2*l**4 + 5/6*l - z*l**2 - 1/3 - 5/6*l**3.
(l - 1)**2*(l + 1)*(3*l - 2)/6
Let k = 6187 + -49487/8. Let s(h) be the first derivative of -10 - k*h**2 - 1/8*h**3 + 0*h. Factor s(v).
-3*v*(v + 6)/8
Let k(r) be the third derivative of -17*r**5/15 + 59*r**4/6 - 28*r**3 - 5*r**2 + 10*r. Factor k(q).
-4*(q - 1)*(17*q - 42)
Factor -3274*x**2 + 29*x**4 - 3*x**4 + 1191*x**3 + 3549*x - 1182 - 281*x**2 - 29*x**4.
-3*(x - 394)*(x - 1)**3
Let l(v) = 2*v**2 + v + 1. Let g(j) = 13*j**2 - 8*j + 4*j**4 - 13*j**3 + 13*j + 1 - 6*j. Let t(i) = g(i) - l(i). Let t(a) = 0. What is a?
0, 1/4, 1, 2
Let c(d) = 10*d**2 + 5*d. Let x(k) = 21*k**2 - 436*k + 49729. Let w(r) = 6*c(r) - 3*x(r). Factor w(g).
-3*(g - 223)**2
Suppose 0 = 4*z - 2*c - 54, 3*z - 140*c + 139*c = 41. Let l(f) be the first derivative of -1/3*f**3 - 9*f - z + 3*f**2. Factor l(n).
-(n - 3)**2
Factor -180*i + 53*i**2 - 8*i**3 + 138*i**2 - 155*i**2 - 5*i**4 + 3*i**4 + 66*i**2.
-2*i*(i - 3)**2*(i + 10)
Suppose 18*x + x - 38 = 0. Solve -462 + c**x + 466 + c**2 + 6*c = 0.
-2, -1
Suppose 472*b - 90 = 457*b. Suppose 4*l - 11*x = -b*x + 25, x + 5 = l. Factor -2/5*q**3 + 3/5*q**4 - 1/5*q**5 + l*q**2 + 0 + 0*q.
-q**3*(q - 2)*(q - 1)/5
Let z(d) be the first derivative of d**6/720 + d**5/120 + d**4/48 - 2*d**3/3 + 24*d - 4. Let v(b) be the third derivative of z(b). Factor v(x).
(x + 1)**2/2
Let k(j) be the third derivative of j**8/420 - 6*j**7/175 + 29*j**6/150 - 43*j**5/75 + j**4 - 16*j**3/15 - 2152*j**2. Factor k(l).
4*(l - 4)*(l - 2)*(l - 1)**3/5
Let z(b) be the first derivative of 2*b**3/27 + 17*b**2/9 - 76*b/9 + 1677. Factor z(m).
2*(m - 2)*(m + 19)/9
Let o(f) be the third derivative of f**5/40 + f**4/2 + 3*f**3 + 806*f**2. Factor o(v).
3*(v + 2)*(v + 6)/2
Suppose 6*w + 18 = 162. Suppose 45*o - w = 37*o. Let b(j) = 5*j**2 + 10*j + 3. Let x(s) = -15*s**2 - 30*s - 8. Let v(f) = o*x(f) + 8*b(f). Factor v(i).
-5*i*(i + 2)
Let u be (-1 - (-34)/60) + 2295/(-34) + 11 + 58. Let r be 2/2 - 1/15. Factor u - r*g - 2/15*g**2.
-2*(g - 1)*(g + 8)/15
Let s(o) = 3*o**4 - 4*o**3 - 77*o**2 - 238*o. Let k(a) = 5*a**4 - 2*a**3 - 154*a**2 - 477*a. Let m(b) = 4*k(b) - 7*s(b). Factor m(v).
-v*(v - 11)**2*(v + 2)
Let h(c) be the first derivative of -c**5/5 - 4*c**4/3 + 29*c**3/3 - 52*c**2/3 + 12*c + 737. Determine o so that h(o) = 0.
-9, 2/3, 1, 2
Suppose 15842/3 + 362/9*b**2 - 2/9*b**3 - 16910/9*b = 0. What is b?
3, 89
Let t be (48/(-10))/8 + (-23970)/(-5950). Solve 3/7*i**2 + t*i + 48/7 = 0 for i.
-4
Let t(y) = -y**2 - 8*y - 13. Let r(m) be the first derivative of 2*m + 22. Let g(x) = 3*r(x) + t(x). Factor g(c).
-(c + 1)*(c + 7)
Let s(j) be the third derivative of -j**7/105 - 169*j**6/60 - 27*j**2 - 7*j. Let s(z) = 0. Calculate z.
-169, 0
Factor -5090*a**2 - 22*a**4 + 5066*a**2 - 44*a**3 + 6*a**4 + 4*a**5.
4*a**2*(a - 6)*(a + 1)**2
Let a = -9601/150 + -37/75. Let w = a - -197/3. Determine k, given that -7/6*k**3 - 2/3*k**4 + w*k - 1/3 + k**2 = 0.
-2, -1, 1/4, 1
Let m be 8/(-14)*(-172)/1720. Let j(g) be the third derivative of -m*g**5 + 0 - 11/42*g**4 + 0*g - 1/210*g**6 + 43*g**2 - 4/7*g**3. Factor j(d).
-4*(d + 1)*(d + 2)*(d + 3)/7
Suppose -17*n = -326 + 142 + 150. Let -13/2*x + 3/2 + 2*x**n = 0. Calculate x.
1/4, 3
Let 57/7*k**5 - 66*k**4 - 180/7*k + 264*k**2 + 0 - 1263/7*k**3 = 0. Calculate k.
-3, 0, 2/19, 1, 10
Let q(w) be t