*y - 1/2 + t*y**2.
(y - 1)*(y + 1)/2
Factor 24*t + 32/3 + 97/6*t**2 + 1/6*t**4 + 3*t**3.
(t + 1)**2*(t + 8)**2/6
Let d(v) be the first derivative of -5*v**4/4 + 20*v**3 + 575*v**2/2 - 630*v - 3908. Suppose d(n) = 0. What is n?
-7, 1, 18
Let h = 252 - -144. Let z = h - 396. Let 0*x**3 + 0*x**2 + 2/11*x**4 + 0*x + z = 0. Calculate x.
0
Let r = 217 - 87. Suppose 3*l + 4*d - 28 = 4, 0 = -2*d + 10. Factor -r*n + l*n**4 + 130*n - 4*n**2.
4*n**2*(n - 1)*(n + 1)
Let x(l) = l**4 + l**2 - 2*l + 1. Let q(b) = -3*b**5 - 24*b**4 + 360*b**3 - 3*b**2 + 6*b - 3. Let i(a) = -q(a) - 3*x(a). Find t such that i(t) = 0.
-15, 0, 8
Let f(l) = l**3 - 16*l**2 + l - 8. Let g = 15 + 1. Let n be f(g). Factor 11 + n - 2 - 5*q**2 + 3.
-5*(q - 2)*(q + 2)
Let u(b) be the second derivative of b**5/4 + 325*b**4/3 + 83185*b**3/6 - 85805*b**2 + 862*b - 1. Factor u(v).
5*(v - 2)*(v + 131)**2
Factor -1606/5*t + 1608/5 - 2/5*t**2.
-2*(t - 1)*(t + 804)/5
Factor 2/13*l**4 + 6270/13*l**2 + 0 - 222/13*l**3 - 6050/13*l.
2*l*(l - 55)**2*(l - 1)/13
Determine x, given that -4241*x + 124*x**2 - 7075*x + 123*x**2 + 15059064 - 4388076 - 244*x**2 = 0.
1886
Let i = -56105 - -56107. Determine y so that 0 + 1/2*y**4 - 8*y + 13*y**i - 11/2*y**3 = 0.
0, 1, 2, 8
Factor 0 + 2/7*c**4 + 8/7*c + 16/7*c**2 + 10/7*c**3.
2*c*(c + 1)*(c + 2)**2/7
Let y be 1056/(-5632) - 134/(-32). Let q(c) be the third derivative of 0*c + 0*c**5 + 2/105*c**7 - 2/3*c**3 - 42*c**2 - 1/15*c**6 + 0 + 1/3*c**y. Factor q(b).
4*(b - 1)**3*(b + 1)
Let k be 2 + (63/(-27))/7. Let q(i) be the first derivative of 0*i + 5*i**2 - k*i**3 + 16. Determine n so that q(n) = 0.
0, 2
Let b(z) be the third derivative of z**7/630 - 43*z**6/360 + 71*z**5/36 - 275*z**4/24 - 43*z**2 - z - 22. Factor b(f).
f*(f - 33)*(f - 5)**2/3
Let q(s) be the third derivative of -5*s**8/1344 - s**7/7 - 65*s**6/96 - 7*s**5/8 - 7*s**2 + 126*s. Let q(f) = 0. What is f?
-21, -2, -1, 0
Solve -116 - 2/3*x**3 + 112/3*x**2 + 238/3*x = 0 for x.
-3, 1, 58
Let s be 1 + (455/26 - 14 - 2/(-4)). Let q(g) be the third derivative of 12/13*g**3 + 0 + 1/390*g**s - 1/13*g**4 - 15*g**2 + 0*g. Suppose q(y) = 0. Calculate y.
6
Let s(z) be the first derivative of z**5/15 + 3*z**4/4 - 19*z**3/9 - 27*z**2/2 + 30*z - 6806. Solve s(h) = 0 for h.
-10, -3, 1, 3
Let r(o) = o**3 - 3*o**2 - 5*o - 2. Let t be r(4). Let v be t/((-1)/86*4). Solve -124*u**2 + 2*u**3 - u**3 + v*u**2 = 0 for u.
-5, 0
Let n = -94 - -166. Factor -8*r - 2*r**2 + 13*r + 7*r - n + 12*r.
-2*(r - 6)**2
Let l(f) be the third derivative of f**5/12 + 25*f**4/12 - 55*f**3/6 - 152*f**2 - 8*f. Factor l(s).
5*(s - 1)*(s + 11)
Let q = 48 - 46. Let b be 45/12 + q/8. Factor -45*n**4 - 36*n + 24*n**4 - 36*n**3 + 29*n**b + 8 + 56*n**2.
4*(n - 2)*(n - 1)**2*(2*n - 1)
Factor -108/5*y - 1216/5 - 2/5*y**2.
-2*(y + 16)*(y + 38)/5
Let g = -328 - -328. Factor -14*p**2 + g*p**2 + 6 + 4 - 10 - 2*p**3.
-2*p**2*(p + 7)
Let s = 25 - 22. Suppose -5*h + 10 = 5*y, s*h + 11 + 7 = y. Factor y + t**3 - 5 + 5*t**2 + 3*t - 2*t**2.
(t + 1)**3
Let j = 1052 + -1027. Let 215*o + 11 - j - 16 - 120 - 5*o**3 - 60*o**2 = 0. Calculate o.
-15, 1, 2
Let l = 309 + -811. Let h = -500 - l. Factor 1/2*p**3 + 0*p + 3/2*p**h - 2.
(p - 1)*(p + 2)**2/2
Let r(k) be the first derivative of -11 - 19*k - 2/5*k**2 + 1/12*k**4 + 4/15*k**3. Let v(o) be the first derivative of r(o). Determine m so that v(m) = 0.
-2, 2/5
Let m = -348657 + 348660. Factor 2116/3 + 92*f + m*f**2.
(3*f + 46)**2/3
Let g(u) be the first derivative of -u - 40 - 55/12*u**2 + 19/18*u**3. Solve g(m) = 0.
-2/19, 3
Let d be ((-47544)/1232)/(2/(-4)). Let a = d + -77. Factor 2/11*c**2 + 2/11*c + 0 - a*c**4 - 2/11*c**3.
-2*c*(c - 1)*(c + 1)**2/11
Let x be (-2)/4 + 327/6. Let n = x + -52. Let -12*i - 21*i**2 + 8*i**n + 17*i**2 = 0. Calculate i.
0, 3
Let w = 45 + -20. Let x = -23 + w. Factor h**2 - 6*h**x - h + 6*h.
-5*h*(h - 1)
Suppose 18*r - 28*r = -10*r - 14*r - 20*r. Factor r*g**2 + 7/4*g - 3/2 - 1/4*g**3.
-(g - 2)*(g - 1)*(g + 3)/4
Let r(t) be the second derivative of -5*t**4/3 - 367*t**3/3 + 111*t**2 + 8359*t. What is n in r(n) = 0?
-37, 3/10
Let s = -162558 + 162562. Let 6 + 8*v + 1/2*v**5 - 5/2*v**2 - 9/2*v**3 + 1/2*v**s = 0. What is v?
-3, -1, 2
Suppose 432/11 + 234/11*h**3 - 102/11*h**2 + 30/11*h**4 - 588/11*h - 6/11*h**5 = 0. Calculate h.
-4, -2, 1, 9
Let k(t) be the second derivative of t**5/230 - 35*t**4/46 + 1225*t**3/23 - 42875*t**2/23 - 15*t - 117. Factor k(w).
2*(w - 35)**3/23
Let g(j) = 48*j**2 + 3204*j + 2697. Let y(n) = -7*n**2 - 458*n - 383. Let a(x) = 4*g(x) + 27*y(x). Factor a(s).
3*(s + 1)*(s + 149)
Suppose 296*h = -509*h + 76*h - 142*h + 1742. Factor 42/5*z**4 - 276/5*z**3 + 596/5*z**h - 2/5*z**5 - 522/5*z + 162/5.
-2*(z - 9)**2*(z - 1)**3/5
Let d be (-6 + 2)/(14/(-56)). Determine s so that -2*s**2 + 12 - d*s + 33*s - 15*s = 0.
-2, 3
Suppose -458 + 742 + 1726 = 402*u. Let v(f) be the third derivative of -11/60*f**u - 10*f**2 + 0 + 23/48*f**4 - 1/2*f**3 + 1/48*f**6 + 0*f. Factor v(q).
(q - 3)*(q - 1)*(5*q - 2)/2
Let d(x) be the second derivative of 0*x**3 - 1/150*x**5 + 0*x**2 - 41/90*x**4 + 57*x + 0. Factor d(a).
-2*a**2*(a + 41)/15
Suppose -26*k + 22*k - 32 = -4*i, -2*i - 14 = 4*k. Factor 0*f + 11*f**3 + 4*f + 8*f**2 - f**3 - 6*f**i.
4*f*(f + 1)**2
Find w, given that -4*w**2 + 420 + 1899 + 307*w - 71 - 1423*w = 0.
-281, 2
Suppose -3800*q = 5*g - 3795*q - 45, -4*q = -2*g - 36. Let s(u) be the third derivative of -1/60*u**5 + g - 7/12*u**4 - 49/6*u**3 + 0*u + 11*u**2. Factor s(c).
-(c + 7)**2
Let r(l) be the second derivative of l**4/18 + 140*l**3/9 + 139*l**2/3 - 6*l - 35. Factor r(m).
2*(m + 1)*(m + 139)/3
Let s(t) be the first derivative of 22/21*t**3 - 4/21*t**4 + 255 - 2/35*t**5 - 10/21*t**2 + 0*t. What is l in s(l) = 0?
-5, 0, 1/3, 2
Let s(k) be the third derivative of 1/3*k**3 + 0*k**7 + 1/30*k**6 - 1/8*k**4 + 0 - 247*k**2 + 0*k - 1/30*k**5 - 1/336*k**8. Let s(b) = 0. Calculate b.
-2, -1, 1
Let t(x) be the first derivative of 3*x**5/20 + 39*x**4 + 4056*x**3 + 210912*x**2 + 189*x + 152. Let y(l) be the first derivative of t(l). Solve y(h) = 0 for h.
-52
Suppose -5*t - 2*p = -24, 483*p = t + 479*p + 26. Solve 442/3*v**3 + 16 - 232/3*v + 70/3*v**4 + 92/3*v**t = 0.
-6, -1, 2/7, 2/5
Suppose 3/5*g**4 - 2496/5 + 84/5*g**3 + 729/5*g**2 + 336*g = 0. Calculate g.
-13, -8, 1
Let i = 4405 + -21881/5. Suppose -33 = 57*h - 112 - 35. Factor -24/5*k + 1/5*k**h + i.
(k - 12)**2/5
Let n = 27979 + -419681/15. Let g(u) be the second derivative of 35*u - 1/60*u**4 - 6/5*u**2 - n*u**3 + 0. Suppose g(a) = 0. What is a?
-6, -2
Let k(n) be the first derivative of n**4/18 - 230*n**3/9 + 10309*n**2/3 - 399854*n/9 + 5506. Suppose k(d) = 0. What is d?
7, 169
Let b(y) be the second derivative of y**6/120 + 11*y**5/40 + 9*y**4/4 - 98*y**3/3 - 2*y + 11. Let n(h) be the second derivative of b(h). Factor n(i).
3*(i + 2)*(i + 9)
Find a, given that 513*a - 67*a**2 - 17*a**2 + 516 - 21*a**2 + 128*a**2 - 26*a**2 = 0.
-1, 172
Let x(a) be the third derivative of -19/120*a**4 + 3/5*a**3 - 53*a**2 + 0 + 0*a + 1/300*a**5. Suppose x(w) = 0. What is w?
1, 18
Let i(p) be the second derivative of 5/12*p**4 + 7 + 2*p - 25*p**2 + 5/2*p**3. Factor i(t).
5*(t - 2)*(t + 5)
Let i(s) be the third derivative of -5*s**8/112 + 3*s**7/5 + 67*s**6/20 + 5*s**5 - 9*s**4/8 - 11*s**3 + 3*s**2 - 745. Suppose i(g) = 0. What is g?
-1, 2/5, 11
Solve -680/7*l + 2004/7 + 4/7*l**2 = 0 for l.
3, 167
Suppose -2*g - 5*t - 39 = 0, 2*t = -5*g + g - 54. Let x be -10*(-3)/g*-2. Suppose -1722*r**x - 2*r**2 + 3*r**3 - r**2 + 3*r**4 + 1719*r**5 = 0. Calculate r.
-1, 0, 1
Suppose -112 = -h - j, 4*h - 343 = j + 95. Solve h*k**4 + 32*k - 130*k**4 + 16*k**3 + 66*k**2 + 30*k**2 - 64 - 6*k**5 = 0 for k.
-2, 2/3, 2
Suppose -21*t - 21 = -105. Factor 6*q**5 - 64*q**2 - 22*q**4 + 14*q**t - 2*q**3 + 68*q**2.
2*q**2*(q - 1)**2*(3*q + 2)
Let r(s) = 2557*s**3 + 15389*s**2 + 23123*s + 51. Let i(t) = -2559*t**3 - 15390*t**2 - 23118*t - 45. Let o(n) = -4*i(n) - 3*r(n). Factor o(y).
3*(y + 3)**2*(855*y + 1)
Let a be -3 - (0 + -8 + 7) - (-74)/36. Let z(h) be the first derivative of -1/6*h**2 + 2 + a*h**3 + 1/6*h. Factor z(w).
(w - 1)**2/6
Suppose -8703 = -5*s - 23*p + 26*p, 3*s + 2*p - 5237 = 0. Let h = 1745 - s. Factor h*b + 2/5*b**2 - 12/5.
2*(b - 1)*(b + 6)/5
Let g = 293989/1