3)/15
Let p(q) be the third derivative of q**6/480 + 23*q**5/240 + 57*q**4/32 + 135*q**3/8 + 1336*q**2. Factor p(d).
(d + 5)*(d + 9)**2/4
What is w in -1/4*w**4 + 57/4*w**3 + 59/4*w**2 - 57/4*w - 29/2 = 0?
-1, 1, 58
Let q = 423989/989324 + 1/141332. Factor 30/7*x + 33/7 - q*x**2.
-3*(x - 11)*(x + 1)/7
Let r be 2123/31073 - (-35)/161. Let -92/7*i**2 + 44/7*i**3 + 2/7*i**4 - 6*i - r*i**5 + 90/7 = 0. What is i?
-5, -1, 1, 3
Let o(l) = l**3 + 14*l**2 + 12*l - 7. Let g be o(-13). Solve -5 + g*n**3 + 4 + 4 + n**2 - 10*n**2 = 0 for n.
-1/2, 1
Let q(j) = 2*j**4 - 20*j**3 + 40*j**2 - 4. Let f(i) = -4*i**4 + 39*i**3 - 82*i**2 + 10. Let h(l) = -2*f(l) - 5*q(l). Factor h(y).
-2*y**2*(y - 9)*(y - 2)
Suppose -7*d + 16*d = 9. Let i be (3 - -2)/d + 70/(-30). Determine f, given that -4/3*f + 64*f**4 - 140/3*f**2 + i + 64/3*f**3 = 0.
-1, -1/4, 1/4, 2/3
Let r(i) be the first derivative of -i**4/3 - 112*i**3/9 - 154*i**2/3 - 200*i/3 + 91. Determine f so that r(f) = 0.
-25, -2, -1
Suppose -56 = -3392*w + 3378*w. Let v(k) be the first derivative of 1/2*k**w + 12 + 2/5*k**5 - 1/6*k**6 - 1/2*k**2 - 4/3*k**3 + 2*k. Factor v(o).
-(o - 2)*(o - 1)**2*(o + 1)**2
Let n(r) = -8*r**2 + 190*r + 816. Let h(f) = 6*f**2 - 192*f - 816. Let d(j) = -6*h(j) - 4*n(j). Determine l, given that d(l) = 0.
-4, 102
Let j be -25 + 17952/624 + (-3)/13*-1. Solve 0 - 76/9*x**2 - 4/9*x**5 - 8/3*x - 28/3*x**3 - j*x**4 = 0 for x.
-6, -1, 0
Let b(s) be the second derivative of 1/780*s**6 + 0*s**2 + 1/390*s**5 - 1/156*s**4 + 7*s**3 - 39*s + 0. Let z(v) be the second derivative of b(v). Factor z(y).
2*(y + 1)*(3*y - 1)/13
Let -1487*k**4 - 40730*k - 61101*k**3 - 28783*k**3 - 4*k**5 - 29208*k + 313973*k**2 - 46628*k**3 = 0. What is k?
-187, 0, 1/4, 2
Suppose -35*i = -31*i + 67*i - 142. Let 8/3 - 8/3*k**i - 10/3*k**3 + 10/3*k = 0. What is k?
-1, -4/5, 1
Factor -1/3*h**2 - 1/3*h + 0.
-h*(h + 1)/3
Let u = 19 + -27. Let q(x) = -4*x - 30. Let d be q(u). What is l in 2*l**d + 2*l + 27 + l**2 + 25*l + 3*l = 0?
-9, -1
Let n be 40/45 - (-1)/((-36)/24). Let w(b) be the third derivative of 0*b - n*b**3 - 1/4*b**4 + 0 + 16*b**2 - 13/90*b**5 - 1/30*b**6. Find g such that w(g) = 0.
-1, -2/3, -1/2
Let b(r) be the third derivative of -r**8/112 + 123*r**7/70 - 363*r**6/40 + 361*r**5/20 - 15*r**4 - 2*r**2 + 11*r - 15. Determine q so that b(q) = 0.
0, 1, 120
Let f = 117/109 - 1601/2507. Factor 2/23 + f*r + 8/23*r**2.
2*(r + 1)*(4*r + 1)/23
Suppose -31 = -7*l - 52. Let c be ((-4 - l)*3)/((-18)/120). Factor c*x - 15*x**2 - 50 - 15*x**2 + 28*x**2.
-2*(x - 5)**2
Let p = 2406179/9 - 267069. Let g = p + -284. Find d such that 0*d + g*d**3 + 0*d**2 + 0 = 0.
0
Let f(i) = -21*i**2 - 21*i - 9. Let n(g) = 5*g**2 + 5*g + 2. Let m = -105 + 96. Let k = 9 + -11. Let h(c) = k*f(c) + m*n(c). Suppose h(t) = 0. Calculate t.
-1, 0
Let z(o) be the first derivative of -o**3/12 + 777*o**2/8 - 775*o/2 - 7847. Factor z(a).
-(a - 775)*(a - 2)/4
Solve -98/11*b**3 + 0 + 104/11*b**2 + 200/11*b - 2/11*b**4 = 0 for b.
-50, -1, 0, 2
Let f(g) be the third derivative of -21 + 3*g**2 + 0*g - 98/27*g**3 - 1/540*g**5 + 7/54*g**4. Factor f(m).
-(m - 14)**2/9
Determine y, given that -61/5*y**3 + 46/5*y**2 + 32*y - 128/5 - 1/5*y**5 - 16/5*y**4 = 0.
-8, -2, 1
Suppose 140 = -3*u - 2*u. Let p = u - -33. Determine k, given that -7*k**p - 3*k**5 - 7*k**5 + 3*k**4 + 20*k**5 = 0.
-1, 0
Let t(j) = 2*j**4 - j**2 + j + 5. Let c(y) = 13*y**4 - 314*y**3 + 25254*y**2 - 94544*y - 120095. Let h(r) = 5*c(r) - 30*t(r). Factor h(m).
5*(m - 155)**2*(m - 5)*(m + 1)
Let w(o) be the second derivative of 0*o**2 + 1/18*o**3 + 44*o + 0 + 1/90*o**6 - 1/60*o**5 - 1/36*o**4. Factor w(l).
l*(l - 1)**2*(l + 1)/3
Let n(l) = 6*l**2 - 14*l**2 - l + 0*l**2 + 2*l + 3*l. Let v(r) = -15*r**2 + 9*r. Let u(h) = -13*n(h) + 6*v(h). Factor u(t).
2*t*(7*t + 1)
Let x = -2/6743 - -27002/101145. Let u(c) be the second derivative of 1/6*c**4 + x*c**3 + 0*c**2 + 1/50*c**5 - 9*c + 0. Factor u(d).
2*d*(d + 1)*(d + 4)/5
Let s = 1653 + -1347. Let a be (s/90 + -4)*(-20)/18. Factor 1/6*q + 1/6 - 3/2*q**2 - a*q**4 + 11/6*q**3.
-(q - 1)**3*(4*q + 1)/6
Let r(y) be the third derivative of -156*y**2 + 0*y**3 - 7/4*y**4 + 0 + 0*y - 19/20*y**5 + 3/40*y**6. Let r(q) = 0. What is q?
-2/3, 0, 7
Let x = 279 + -266. Let z be 13 - x - 0/(-3 - 0). Factor c**2 + z - 1/2*c.
c*(2*c - 1)/2
Let m = 11699 + -11695. Let g(t) be the second derivative of 0 - 2/3*t**3 - 26*t + 12*t**2 - 5/3*t**m. Suppose g(c) = 0. Calculate c.
-6/5, 1
Let g = 24767 - 24762. Let m(r) be the second derivative of 1/16*r**4 + g + 0*r**3 + 0*r**5 - 1/40*r**6 + 2*r + 0*r**2. Determine o, given that m(o) = 0.
-1, 0, 1
Suppose -2*y = -5*i - 754 + 731, 0 = -y - 3*i - 5. Let h(s) be the second derivative of -1/8*s**5 - 5/4*s**2 + 25*s + 5/24*s**y + 0 + 5/12*s**3. Factor h(b).
-5*(b - 1)**2*(b + 1)/2
Let j be (-20)/(-30) + 470/(-126) + 3. Let t = j - -2/7. Let t*l**3 + 0 + 0*l + 2/9*l**2 = 0. What is l?
-1, 0
Suppose 3*g + 8 - 2 = -2*y, 3*g = -5*y - 15. Let i(f) be the second derivative of 0 - 24*f - 2/21*f**3 + 1/42*f**4 + g*f**2. What is m in i(m) = 0?
0, 2
Let h = 12875 + -12872. Find p such that 0*p**2 + 0*p + 4/5*p**h + 0 - 4/5*p**5 + 0*p**4 = 0.
-1, 0, 1
Suppose -3*k = 6 - 15, 4*y = 3*k + 19. Let r(s) be the first derivative of -1/8*s**3 + 15/16*s**2 + y - 9/4*s. Find g such that r(g) = 0.
2, 3
Let c(j) = 33*j**2 + 193*j - 27. Let x be c(-6). Let s = -5 - -7. Let -1/3*i**x + 2/3 - 2/3*i**s + 1/3*i = 0. Calculate i.
-2, -1, 1
Let l = 127 - 111. Let -4*q**5 - 12*q**4 - 5*q**3 - 32*q + 31*q**4 - 15*q**4 - l*q**2 + 29*q**3 = 0. What is q?
-2, -1, 0, 2
Let u(t) be the first derivative of 286*t**3/21 - 6*t**2/7 - 531. Determine o, given that u(o) = 0.
0, 6/143
Let w(v) = 2*v**2 - 3*v**2 - 34*v - 40*v + 64*v. Let q(c) = -20*c. Let h(p) = 2*q(p) - 5*w(p). Suppose h(d) = 0. Calculate d.
-2, 0
Suppose 0 = 2*u + 4*g - 20, -5*g = -2*u + 13 - 2. Suppose -11*q = -15*q + u. Factor 3104*s**q - 15*s**4 + 1 - 3099*s**2 - 10*s**5 - 1.
-5*s**2*(s + 1)**2*(2*s - 1)
Suppose 1144 - 121 = 33*g. What is a in 3*a**2 - 5*a**2 - 345*a + 56 + g + 0*a**2 - 10*a**2 = 0?
-29, 1/4
Let v be ((26/(-1))/2)/(-1). Let o = 658 + -646. Determine w so that -4 + 12*w - 7*w**2 - v*w**2 + o = 0.
-2/5, 1
Let k(u) be the first derivative of 2*u**3/15 - 674*u**2/5 - 270*u + 885. Factor k(t).
2*(t - 675)*(t + 1)/5
Let p(s) be the first derivative of 1/14*s**4 - 1/70*s**5 + 0*s**3 - 11*s + 3 + 0*s**2. Let z(f) be the first derivative of p(f). Solve z(b) = 0 for b.
0, 3
Let l(v) be the third derivative of -3*v**8/28 + v**7/7 - v**6/30 - 2163*v**2 + 2*v. Find b, given that l(b) = 0.
0, 1/6, 2/3
Let i(k) = -7*k**2 + 31642*k + 31268162. Let u(d) = 2*d**2 - 15820*d - 15634088. Let j(r) = 2*i(r) + 5*u(r). Factor j(l).
-4*(l + 1977)**2
Let t = 88 - 85. Suppose 128*n**2 - 76*n - 168*n - 4*n**t + 42 + 78 = 0. Calculate n.
1, 30
Let l(h) = h**2 + 158*h + 1280. Let g be (4/(60/(-25)))/(5/(-6)). Let f(k) = -k**2 - 473*k - 3840. Let x(i) = g*f(i) + 7*l(i). Factor x(b).
5*(b + 16)**2
Let h(s) be the third derivative of -s**8/168 - 4*s**7/105 + 17*s**6/20 - 43*s**5/15 + 10*s**4/3 - 139*s**2 + 13. Let h(i) = 0. Calculate i.
-10, 0, 1, 4
Let u(o) be the third derivative of 104*o**2 + 0*o + 1/4*o**4 + 0 + 7/150*o**5 + 2/15*o**3. Solve u(x) = 0.
-2, -1/7
Let c(p) be the third derivative of 0*p**3 + 1/6*p**4 + 75 - 2*p**2 - 1/6*p**5 - 1/105*p**7 + 1/15*p**6 + 0*p. Suppose c(t) = 0. What is t?
0, 1, 2
Factor -127*g - 339*g**2 + 95*g**2 + 201*g**2 + 6.
-(g + 3)*(43*g - 2)
Suppose 0 = -45*y + 48*y + c, -3*y = -2*c - 18. Let w(v) be the second derivative of 0*v**y + 10*v + 0 - 1/100*v**5 + 1/60*v**4 + 0*v**3. Factor w(d).
-d**2*(d - 1)/5
Suppose 4*g = -5*g + 27. Find y, given that -20*y**2 - 25445 - 5*y**4 + 25445 + 25*y**g = 0.
0, 1, 4
Let h be (-4)/(-1) + -8 + 4. Suppose 3*i - 9 = 0, h*u = -4*u + 3*i + 59. Factor -4*s**2 + 6*s + 10*s + 5 - u.
-4*(s - 3)*(s - 1)
Let b(g) be the first derivative of -g**4/4 + 2*g**3 + 37*g**2/2 + 30*g - 2680. Factor b(h).
-(h - 10)*(h + 1)*(h + 3)
Let z be ((-36)/78)/(1421/(-5278)). Factor z*c**2 - 24/7 + 2/7*c**3 + 10/7*c.
2*(c - 1)*(c + 3)*(c + 4)/7
Let p(z) = 2*z**2 - 1. Let t(l) = -3*l**2 + 19*l + 1. Let x(n) = -n**2 + 20*n. Let v(f) = 5*t(f) - 4*x(f). Let m(c) = -5*p(c) - v(c). Solve m(