. What is a in l*a - 1 - 1/4*a**2 = 0?
1, 4
Let b(r) = -3*r**3 - 9*r**2 - 16*r + 20. Let y(a) = 2*a**3 + 7*a**2 + 16*a - 19. Let f(l) = -3*b(l) - 4*y(l). Factor f(i).
(i - 4)*(i - 1)*(i + 4)
Let k(t) be the first derivative of 4*t**5/5 - 3980*t**4 + 5274824*t**3 + 15848360*t**2 + 15856324*t - 9744. Let k(y) = 0. What is y?
-1, 1991
Let q(o) = -16*o**4 + 50*o**3 - 150*o**2 + 64*o. Let x(j) = 22*j**4 - 50*j**3 + 149*j**2 - 64*j. Let y(l) = 3*q(l) + 2*x(l). Suppose y(f) = 0. What is f?
0, 1/2, 4, 8
Let 14*k**5 - 504*k**2 + 10891*k - 620*k**3 - 10603*k + 192*k**4 + 6*k**5 = 0. What is k?
-12, -1, 0, 2/5, 3
Factor 13*i**2 - 859*i - 5*i**3 - 11*i**2 - 2*i**4 - 3*i**2 + 861*i.
-i*(i + 1)*(i + 2)*(2*i - 1)
Let w(n) be the third derivative of -n**6/600 - 37*n**5/150 + 13*n**4/5 - 6*n**2 - 378*n + 1. Factor w(r).
-r*(r - 4)*(r + 78)/5
Let o(y) be the second derivative of y**4/24 + 833*y**3/6 + 693889*y**2/4 + 3*y + 723. Factor o(r).
(r + 833)**2/2
Let b(w) = -w. Let t(a) = 3*a**4 + 80*a**3 - 30*a**2 - 95*a + 27. Let s(z) = 15*b(z) - t(z). Find r, given that s(r) = 0.
-27, -1, 1/3, 1
Let n(d) = 16*d**2 + 14*d - 67. Let w(i) = 13*i**2 + 14*i - 68. Let x(y) = 4*n(y) - 5*w(y). Factor x(b).
-(b - 4)*(b + 18)
Let i(b) be the second derivative of -b**5/5 - 11*b**4/21 + 272*b**3/21 + 160*b**2/7 + 329*b - 2. Factor i(x).
-4*(x - 4)*(x + 5)*(7*x + 4)/7
Let j(l) be the first derivative of -3*l**4/4 - 618*l**3/5 + 372*l**2/5 + 1806. Factor j(p).
-3*p*(p + 124)*(5*p - 2)/5
Let v(s) = 70*s**3 + 2585*s**2 - 4955*s + 30. Let i(z) = 9*z**3 + 369*z**2 - 708*z + 4. Let l(n) = 15*i(n) - 2*v(n). Factor l(c).
-5*c*(c - 71)*(c - 2)
Let o(h) be the first derivative of -h**5/15 + 13*h**4/3 - 437*h**3/9 + 361*h**2/3 - 112*h + 5728. Factor o(f).
-(f - 42)*(f - 8)*(f - 1)**2/3
Let c(h) be the first derivative of -1/18*h**4 - 11 - 2/3*h**3 + 7*h - 3*h**2. Let s(w) be the first derivative of c(w). Factor s(a).
-2*(a + 3)**2/3
Suppose 2753 - 9578 = 7*w. Let l be (-10 - 10020/w)*(-40)/(-6). Factor 0 + l*r**2 - 8/13*r + 14/13*r**3.
2*r*(r + 2)*(7*r - 2)/13
Let g be (8/(-2) - -12) + (-18 - -13). Let k(r) be the first derivative of 0*r - 2/3*r**g + 0*r**2 + 1/5*r**5 - 4 - 1/4*r**4. Suppose k(t) = 0. Calculate t.
-1, 0, 2
Let r = -354 + 384. Suppose -3*o + r = 18. Let -5/2*q**4 - 1/4*q**5 - 10*q**2 - 33/4*q**3 - o*q + 0 = 0. What is q?
-4, -1, 0
Let a(n) = 37*n**2 - 42*n + 76. Let q(v) = -6*v**2 + 2*v. Let z(y) = -a(y) - 7*q(y). Factor z(f).
(f - 2)*(5*f + 38)
Suppose -24 = 8*x + 104. Let p be ((-8)/x)/((-15)/(-6)). Factor p*v - 2/5 + 1/5*v**2.
(v - 1)*(v + 2)/5
Suppose 8/3*q**5 - 22/3*q**4 - 16/3*q - 28/3 - 19/3*q**3 + 77/3*q**2 = 0. What is q?
-7/4, -1/2, 1, 2
Let q(w) = 3*w + 17. Let z be q(-3). Find c, given that c**4 + 603*c**3 - 2 - 610*c**3 + 2 - z*c**2 = 0.
-1, 0, 8
Let c = 1417 + -1415. Let y(u) be the second derivative of -1/45*u**3 + 0*u**4 + 0 + 0*u**c + 1/150*u**5 - 4*u. Find k, given that y(k) = 0.
-1, 0, 1
Let n = -42545 - -297821/7. Determine i, given that 2/3*i**2 + 34/21*i + n - 2/21*i**3 = 0.
-1, 9
Let r(p) = 19*p - 209. Let b be r(11). Let i(o) = -o**2 + o + 46. Let z be i(7). Factor -2/9*s**z + 4/9*s**3 + 2/9 + b*s**2 - 4/9*s.
-2*(s - 1)**3*(s + 1)/9
Let z(k) be the third derivative of -k**6/40 - 153*k**5/20 - 777*k**4 - 13690*k**3 - 404*k**2 + 9*k. Factor z(w).
-3*(w + 5)*(w + 74)**2
Factor -2/7*k**2 + 72/7 + 32/7*k.
-2*(k - 18)*(k + 2)/7
Let c(a) be the second derivative of 9/20*a**5 + 0*a**2 - 3/10*a**6 - 1/4*a**4 + 1/14*a**7 - 2*a + 0*a**3 - 23. Factor c(n).
3*n**2*(n - 1)**3
Factor 2271*t**2 + 4322*t**3 + 2832*t**3 - 375*t**4 + 496*t**3 - 210*t + 63 + 1152*t + 2409*t**2.
-3*(t - 21)*(5*t + 1)**3
Let x(q) = -2*q**2 - 6*q. Let d = 52 - 48. Suppose -4 = d*c - 5*u - 16, -4*c - 4*u = -12. Let p(m) = -2*m**2 - 7*m. Let k(a) = c*x(a) - 2*p(a). Factor k(z).
-2*z*(z + 2)
Let l(y) be the second derivative of y**6/90 - 2*y**5/9 + 13*y**4/18 + 16*y**3/3 + 67*y**2/2 - 140*y. Let x(i) be the first derivative of l(i). Factor x(n).
4*(n - 8)*(n - 3)*(n + 1)/3
Let f be 2/(-7) + 612/(-63). Let z = -8 - f. Factor -14*k**2 + 2*k**2 + 7*k**z.
-5*k**2
Let n(h) be the third derivative of -h**8/4032 + 5*h**7/504 - h**6/16 - h**5/5 - h**4/8 - 4*h**2 - 3. Let g(z) be the third derivative of n(z). Factor g(t).
-5*(t - 9)*(t - 1)
Suppose 130*b = 121*b + 378. Let i be ((-12)/(-42))/(4/b). Solve -3/2*g**2 - 9/2*g - i = 0 for g.
-2, -1
Suppose -2*r - 8 = 0, 4*k - 19 = 2*r + 5. Let b be 3*(-118)/(-231) + (-2)/(-11). Factor 0*d + 0 - b*d**3 + 9/7*d**k + 4/7*d**2.
d**2*(3*d - 2)**2/7
Let i = 10420 + -10416. Let h(v) be the second derivative of -26*v - 5*v**2 - 5/4*v**i + 35/6*v**3 + 0. Determine q so that h(q) = 0.
1/3, 2
Let 27 - 6*r**2 + 3/2*r**3 - 9/2*r = 0. Calculate r.
-2, 3
Suppose 1462050*w + 1710*w**2 + 1/2*w**3 + 0 = 0. Calculate w.
-1710, 0
Let j = -92/5085 - -1222/5085. Factor j*z**2 - 80/9*z + 26/3.
2*(z - 39)*(z - 1)/9
Determine r so that -55*r**3 - 6*r**4 + 18*r**4 - 12*r**4 - 5*r**4 + 20*r**2 + 237*r - 17*r = 0.
-11, -2, 0, 2
Determine x, given that 1/7*x**5 + 4/7*x**4 - 32/7 - 80/7*x - 62/7*x**2 - 11/7*x**3 = 0.
-4, -2, -1, 4
Let a(h) = 18*h - 101. Let q be a(5). Let o be (q/(-154))/((-2)/(-77)). Find p, given that o*p**4 + 9/4*p**3 - 3*p - 7/4*p**2 - 1 + 3/4*p**5 = 0.
-2, -1, -2/3, 1
Let z(b) = -3316*b**2 - 49740*b + 2. Let t be z(-15). Factor -40/7*l - 16/7*l**t - 2/7*l**3 - 32/7.
-2*(l + 2)**2*(l + 4)/7
Let a = 47196 + -1840529/39. Let j = 60/13 - a. Solve -2/3 - 4/3*x**2 - j*x - 1/3*x**3 = 0.
-2, -1
Let g(i) be the third derivative of i**6/24 - 5*i**5/6 - 5*i**4/24 + 25*i**3/3 - 387*i**2. Let g(q) = 0. What is q?
-1, 1, 10
Let p be (-19712)/(-8976) + (-5 - (-56)/12) + (-1)/3. Let 4/17*k**4 - p*k**3 - 6/17*k - 18/17 + 46/17*k**2 = 0. Calculate k.
-1/2, 1, 3
Let k(z) be the first derivative of 4*z**3/3 + 734*z**2 + 2920*z - 6692. Factor k(m).
4*(m + 2)*(m + 365)
Suppose 28/3*q**2 + 1/3*q**5 - 62/3 + 34/3*q**4 - 95/3*q + 94/3*q**3 = 0. Calculate q.
-31, -2, -1, 1
Let v be (-69)/(-414)*4*(-33)/(-143). Factor 74/13*n**2 - 20/13*n**3 + 72/13 + v*n**4 - 120/13*n.
2*(n - 3)**2*(n - 2)**2/13
Let f(v) be the first derivative of -75 + 3/16*v**4 + 21/4*v + 45/8*v**2 + 9/4*v**3. Factor f(b).
3*(b + 1)**2*(b + 7)/4
Let o(f) be the third derivative of f**5/72 + 5*f**4/8 + 85*f**3/36 + 242*f**2. Determine g, given that o(g) = 0.
-17, -1
Factor 2*g**2 - 2640 + 5538 - 2746 + 80*g.
2*(g + 2)*(g + 38)
Suppose 2*x - 153 = 5*m + 183, -m + x = 66. Let d be (-17)/m - (-260)/112. Suppose 4/7 + 12/7*r**4 + 32/7*r**2 - d*r - 2/7*r**5 - 4*r**3 = 0. Calculate r.
1, 2
What is b in 2/13*b**5 + 2/13*b**3 - 24/13*b**4 + 228/13*b**2 - 40/13*b - 528/13 = 0?
-2, 2, 3, 11
Find m, given that 32*m**3 + 592*m**4 - 5*m**5 + 17*m**5 - 39*m**2 - 9*m**2 - 540*m**4 = 0.
-3, -2, 0, 2/3
Let f(n) be the first derivative of -n**7/168 + n**6/48 + 21*n**2 - 58. Let w(s) be the second derivative of f(s). Find p, given that w(p) = 0.
0, 2
Find y such that 634/23*y + 636/23 - 2/23*y**2 = 0.
-1, 318
Let y(o) = 6*o**4 + 185*o**3 + 949*o**2 + 1255*o - 14. Let u(z) = -4*z**4 - 123*z**3 - 631*z**2 - 837*z + 10. Let l(g) = 7*u(g) + 5*y(g). Factor l(p).
2*p*(p + 2)*(p + 4)*(p + 26)
Let g = -1511 - -1456. Let n = g - -60. Find k such that -21/4*k**2 - 1/2 + 23/4*k**4 - 1/4*k**3 - 3*k**n + 13/4*k = 0.
-1, 1/4, 2/3, 1
Let t(g) be the second derivative of -g**6/165 - 18*g**5/55 - 129*g**4/22 - 1148*g**3/33 - 1020*g**2/11 - 3*g - 568. Solve t(h) = 0.
-17, -15, -2
Let z(h) = -10*h**2 + 414*h + 826. Let b(g) = 4*g**2 - 2. Let d(w) = -3*b(w) - z(w). Suppose d(q) = 0. Calculate q.
-205, -2
Let j(n) be the second derivative of 0*n**2 + 5*n + 1 - 20/9*n**4 + 7/30*n**5 - 4/3*n**3. Solve j(f) = 0.
-2/7, 0, 6
Find d, given that 52*d**3 - 56*d**2 - 2/5*d**5 - 44/5*d**4 - 258/5*d + 324/5 = 0.
-27, -1, 1, 2, 3
Factor 21*v - 5*v**3 - 26*v - 10*v - 65*v - 43*v**2 + 3*v**2.
-5*v*(v + 4)**2
Let z(x) be the second derivative of x**6/90 + 29*x**5/30 + 14*x**4/3 + x**3/2 + 20*x**2 - 113*x. Let s(h) be the second derivative of z(h). Solve s(j) = 0.
-28, -1
Factor -5*y**2 + 222*y + y**2 + 2*y**5 - 112 - 224*y**3 + 8*y**2 + 967*y**4 - 859*y**4.
2*(y - 1)**3*(y + 1)*(y + 56)
Suppose -2 + 5/8*y**3 + 7/2*y**2 + 7/2*y = 0. Calculate y.
-4, -2, 2/5
Let z be 6*(-3