 l(q).
4*(q - 2)*(q - 1)
Let f be 52/390 - ((-12136)/(-240))/(-37). Determine d, given that 163/6*d**2 + f - 8/3*d**5 - 12*d**4 - 3/2*d**3 - 25/2*d = 0.
-3, 1/4, 1
Let h(b) = -b**3 - 5*b**2 + 9*b - 5. Let v be h(-7). Suppose 2*i - 5*i = -v. Factor -6*f + 6*f + 15*f**2 + 5*f**3 - 5*f**4 - 5*f - i.
-5*(f - 2)*(f - 1)*(f + 1)**2
Solve 108/5 + 64/5*h**3 + 64/5*h**4 + 6/5*h**5 - 6/5*h - 236/5*h**2 = 0.
-9, -3, -2/3, 1
Let v(l) be the third derivative of -l**5/210 - 41*l**4/21 + 511*l**2. Factor v(x).
-2*x*(x + 164)/7
Let w(c) be the first derivative of 2*c**5/55 + 5*c**4/11 + 8*c**3/11 - 72*c**2/11 - 1097. Factor w(o).
2*o*(o - 2)*(o + 6)**2/11
Suppose 0 = -3*u + 4*x - 2*x + 85, 2*u + 4*x = 46. What is j in 10*j**2 - u*j**4 + 12*j**5 + 4*j**3 - 34*j**3 - j**2 = 0?
-1, 0, 1/4, 3
Let g(p) be the third derivative of p**8/1176 - p**7/735 - p**6/420 + p**5/210 + 342*p**2 - 2. Find s, given that g(s) = 0.
-1, 0, 1
Let a = -84 - -88. Let m(g) = -g**4 - g**3 - g**2 - g. Let z(c) = -3*c**4 - 14*c**3 + 5*c**2 - 8*c. Let l(d) = a*z(d) - 20*m(d). Factor l(j).
4*j*(j - 3)*(j - 1)*(2*j - 1)
Find j such that 8/5*j + 6/5*j**5 - 2*j**4 - 14/5*j**3 - 8/5 + 18/5*j**2 = 0.
-1, 2/3, 1, 2
Let j(g) be the first derivative of -g**3/18 + 13*g**2/3 - 46*g + 17. Factor j(d).
-(d - 46)*(d - 6)/6
Let n(a) be the second derivative of a**6/420 - a**5/105 - a**4/28 - 187*a**2/2 + 2*a - 3. Let q(l) be the first derivative of n(l). Solve q(i) = 0 for i.
-1, 0, 3
Let r = 82 - 51. Let j = 41 - r. Factor 2*k - 1 - j*k + 5 + 11*k**2 - 7*k**2.
4*(k - 1)**2
Let h(u) be the second derivative of -5/2*u**2 + 0 - 1/3*u**3 - 1/6*u**4 - 1/30*u**5 + 2*u. Let a(d) be the first derivative of h(d). Factor a(j).
-2*(j + 1)**2
Let b(m) = -m**3 - 15*m**2 - 10*m + 56. Let x be b(-14). Suppose 4*q - 2*v = 8, x = 2*q + 2*q - 4*v - 8. Factor -4/3*c**q - 4/3 + 8/3*c.
-4*(c - 1)**2/3
Let -8*g + 26/3*g**2 - 2/3*g**3 + 0 = 0. Calculate g.
0, 1, 12
Let m(v) = 5 + 4*v**2 + 3*v**3 + v**2 - 3*v**2 + 5*v - 8*v**2 + 3*v**2. Let t(w) = 17*w**3 - 14*w**2 + 27*w + 25. Let i(h) = -33*m(h) + 6*t(h). Factor i(n).
3*(n - 1)*(n + 1)*(n + 5)
Let k(c) be the first derivative of -c**3/8 - 567*c**2/16 - 561*c/4 - 968. Determine r so that k(r) = 0.
-187, -2
Factor -1033/4*x - 517/2 + 1/4*x**2.
(x - 1034)*(x + 1)/4
Let m(b) be the third derivative of 8/75*b**6 - 27*b**2 + 31/15*b**3 - 1/5*b**5 - b + 0 - 1/525*b**7 - 8/15*b**4. Suppose m(o) = 0. What is o?
-1, 1, 31
Let j(n) be the second derivative of -6/5*n**2 + 0 + 1/15*n**4 - 48*n + 4/15*n**3. Factor j(x).
4*(x - 1)*(x + 3)/5
Find k such that -14*k - 208*k + 40*k**3 - 5*k**2 + 12*k + 5096 - 5096 - 5*k**4 = 0.
-2, 0, 3, 7
Let j(f) be the third derivative of -f**7/42 - 4*f**6/3 - 29*f**5/4 + 10*f**2 + 73. Factor j(i).
-5*i**2*(i + 3)*(i + 29)
Let z = -4319/116 - -33017/812. Let -3/7*w**3 + 24/7*w**2 - z + 3/7*w = 0. Calculate w.
-1, 1, 8
Let p be (-23064)/(-465) - 245/5. Let -p*k - 12/5*k**3 - 6/5*k**4 - 2*k**2 + 0 - 1/5*k**5 = 0. What is k?
-3, -1, 0
Determine g, given that 2*g**5 + 876*g**2 + 22*g**4 + 33*g**3 + 48*g - 772*g**2 + 43*g**3 = 0.
-6, -2, -1, 0
Let t(o) be the first derivative of -1/2*o**3 + 113 + 0*o + 5/8*o**2 + 1/16*o**4. Factor t(n).
n*(n - 5)*(n - 1)/4
Let h = 525 - 513. Let b(a) be the third derivative of 0*a + 0 + 3/2*a**4 - h*a**2 + a**3 + 7/8*a**5. Solve b(o) = 0 for o.
-2/5, -2/7
Let q(r) be the second derivative of r**4/24 + 127*r**3/12 + 125*r**2/2 + 8448*r. What is y in q(y) = 0?
-125, -2
Let f(b) be the third derivative of -b**7/2520 - b**6/180 - b**5/30 + 5*b**4/12 - b**3/3 + 39*b**2. Let y(c) be the second derivative of f(c). Factor y(v).
-(v + 2)**2
Let p(c) be the third derivative of 176*c**2 + 0 - 1/12*c**5 + 0*c - 35/4*c**4 - 735/2*c**3. Factor p(l).
-5*(l + 21)**2
Let w(t) be the first derivative of -t**4/4 + 14*t**3/3 + 2*t + 8. Let g be w(14). Factor 0*q**3 + 2*q**3 + 0*q**3 - g*q.
2*q*(q - 1)*(q + 1)
Suppose -4*c + 7*c - 20*c = 0. Let b(p) be the first derivative of c*p**5 + 24/5*p**2 - 7/5*p**4 + 32/5*p + 18 - 8/15*p**3 + 2/15*p**6. Solve b(m) = 0 for m.
-2, -1, 2
Let l(h) = 3*h**4 - h**3 - h**2 + 4. Let u(f) = -21*f**4 + 2527*f**3 + 11963*f**2 + 17168*f + 6868. Let g(r) = 3*l(r) + u(r). What is s in g(s) = 0?
-2, -2/3, 215
Let o = 1/342529 - -18496559/2397703. Suppose 58/7*z - o*z**2 + 2/7*z**4 - 20/7 + 2*z**3 = 0. What is z?
-10, 1
Factor 1/4*u**2 + 15/4 - 4*u.
(u - 15)*(u - 1)/4
Find r such that 3872 - 1009*r + 119711*r**3 + 2593*r - 4*r**4 - 119531*r**3 - 2104*r**2 = 0.
-1, 2, 22
Let c(m) be the third derivative of -m**5/12 - 95*m**4/24 - 15*m**3 - 608*m**2. Solve c(j) = 0 for j.
-18, -1
What is q in -9313906/9*q**3 + 4680722/9*q**2 - 34544/9*q**4 + 64800 + 453840*q - 32/9*q**5 = 0?
-540, -1/4, 1
Let b = 601 - 597. Solve 899 + 7440*u + 3352*u**2 - 240*u**3 + 1789 + 1156 + 4*u**b = 0.
-1, 31
Solve 48 + 2/3*b**2 + 44/3*b = 0 for b.
-18, -4
Let u(d) be the third derivative of 13*d**5/30 - 389*d**4/18 - 40*d**3/9 + 3*d**2 - 73. Factor u(x).
2*(x - 20)*(39*x + 2)/3
Let z(f) = 2*f**2 - 24*f - 808. Let g be z(-15). Suppose 42/5*b**g + 0 - b**3 - 16/5*b = 0. Calculate b.
0, 2/5, 8
Let y = -2076419/293835 + -1/19589. Let v = y + 42/5. What is x in 8/3*x**2 + 6*x + v = 0?
-2, -1/4
Let x(t) = t**4 - 22*t**3 + 111*t**2 - 160*t + 67. Let s(h) = -6*h**4 + 131*h**3 - 664*h**2 + 959*h - 403. Let p(k) = 6*s(k) + 34*x(k). Let p(q) = 0. What is q?
1, 7, 10
Let t(y) = -8*y**3 - 45*y**2 - 27*y - 8. Let r be t(-5). Let n(j) be the second derivative of -1/33*j**3 - 2/11*j**r - 12*j + 0 + 1/66*j**4. Factor n(v).
2*(v - 2)*(v + 1)/11
Let i(t) be the first derivative of t**7/1400 + 3*t**6/200 - t**5/20 - t**3 + 2*t - 60. Let w(d) be the third derivative of i(d). Factor w(k).
3*k*(k - 1)*(k + 10)/5
Let i = 856 + -769. Suppose -i + 7 = -16*r. Factor 0*u + 2/9*u**3 + 0*u**2 + 0 - 4/9*u**4 + 2/9*u**r.
2*u**3*(u - 1)**2/9
Let f(o) = -o**2 - 37*o - 18. Let x be f(-30). Factor 98*d**2 + 99*d**2 + 8*d + 52*d - x*d**2.
5*d*(d + 12)
Let f(u) = -21 - 27*u + 49 + 4 + u**3 - 3*u**3 - 57*u**2. Let y be f(-28). Factor 3/2*z**2 + 1/4*z**y + 1/4 - z**3 - z.
(z - 1)**4/4
Factor 3/2*b**2 + 2439/2*b + 1218.
3*(b + 1)*(b + 812)/2
Let y(u) be the second derivative of -2*u**6/5 - 6*u**5 + 63*u**4/8 - 4*u**3 - 27*u**2 + 124*u. Let o(c) be the first derivative of y(c). Factor o(d).
-3*(d + 8)*(4*d - 1)**2
Suppose 2*i + x = 1436, 10*x - 5*x + 1412 = 2*i. Find l such that 473*l + 3*l**4 - l**4 + 36*l + 74*l**3 + i*l**2 - 5*l - 1296 = 0.
-18, -2, 1
Suppose 5*m + 75 = 4*k, -36*m = -4*k - 40*m + 84. Factor k*g**2 + 389*g - 5*g**3 - 389*g.
-5*g**2*(g - 4)
Let x(t) be the first derivative of -2*t**3/15 + 816*t**2 - 1664640*t + 4455. Factor x(y).
-2*(y - 2040)**2/5
Let c be (-7)/(-21)*(3 + 6) - 12/12. Let s(q) be the first derivative of 0*q + 25 + 0*q**c - 5/3*q**3. Factor s(a).
-5*a**2
Let b(g) be the second derivative of g**6/240 - 39*g**5/160 + 81*g**4/16 - 207*g**3/4 + 567*g**2/2 + 1016*g. Factor b(k).
(k - 21)*(k - 6)**3/8
Let a = -209528/7 + 29948. Find k such that 48/7*k**2 + 2/7*k**3 - 158/7*k + a = 0.
-27, 1, 2
Solve -68/3*u**4 + 10/3*u**5 + 0 - 124/3*u**2 - 6*u - 184/3*u**3 = 0.
-1, -1/5, 0, 9
Let p(h) be the second derivative of 149*h**5/10 - 449*h**4/6 + 304*h**3/3 - 4*h**2 + 11*h - 32. Factor p(t).
2*(t - 2)*(t - 1)*(149*t - 2)
Let p(x) be the second derivative of 13*x**5/190 - x**4/19 - 71*x + 3. Find v such that p(v) = 0.
0, 6/13
Let s = 60781 + -60779. Factor 1/4*v**s + 5/2*v + 9/4.
(v + 1)*(v + 9)/4
Find m, given that -2*m**4 - m**5 + 0*m**4 + 11*m**4 - 48 + 64 + 14*m**3 - 46*m**3 - 48*m + 56*m**2 = 0.
1, 2
Let o(g) = 6*g**3 + 694*g**2 + 2696*g + 48. Let t(u) = u**3 + 138*u**2 + 539*u + 9. Let b(x) = 3*o(x) - 16*t(x). Factor b(n).
2*n*(n - 67)*(n + 4)
Let z(i) = i**2 + 50*i + 184. Let j be z(-46). Solve -5 + 53 + 3180*q - q**2 - 3178*q + j*q**2 = 0.
-6, 8
Let r be 420/(-360)*((-120)/(-70) + -3). Determine c so that -r*c**3 + 15/2*c**2 + 6*c - 30 = 0.
-2, 2, 5
Let z(u) = u**2 + 288*u + 13721. Let d be z(-60). Solve 1681/2 + 1/2*r**2 - d*r = 0 for r.
41
Determine j so that 256/15 + 2/15*j**2 + 16/5*j = 0.
-16, -8
Determine v so that v + 84*v**2 + 110*v**2 + 35*v**2 - 47*v**2 = 0.
-1/182, 0
Let z be 277/(-3) - (-3)/9. Let n = z + 94. Let 2*y - y - 2*y**4 + y - 6*y**n + 0*y*