*(g + 496)/7
Let m(l) = 11*l**2 + 5*l + 6. Let j(w) = 12*w**2 + 7*w + 2 + 3 - 2*w**2 - 2*w. Let u(g) = -6*j(g) + 5*m(g). Factor u(f).
-5*f*(f + 1)
Suppose -17*y = -9*y - 512. Suppose 52*x**4 - 4*x + 31*x**3 + 8*x + y*x**2 - 4*x**2 + 77*x**3 = 0. What is x?
-1, -1/13, 0
Factor -97556 - 31291*d**2 - 23722*d - 3084*d**3 - 8*d**5 - 151206*d + 20516*d**3 - 27289*d**2 - 1328*d**4 + 40*d**5.
4*(d + 1)**2*(2*d - 29)**3
Suppose 2*i**5 - 52156*i**3 - 72*i**2 + 60*i + 10*i**4 + 52142*i**3 + 14*i**2 = 0. Calculate i.
-5, -3, 0, 1, 2
Suppose 42*j - 20*j - 1936 = 0. Find f such that -j + 2*f**2 - 3*f**2 + 3*f + 92 = 0.
-1, 4
Suppose 4 = t - u + 10, -t - 4*u - 6 = 0. Let d be t/(-4) - (-16)/32. Factor 55 - 30 - d*b**2 - 25.
-2*b**2
Factor -625*r**2 + 1246*r**2 - 622*r**2 - 56*r - 520 - 6*r.
-(r + 10)*(r + 52)
Let h be ((-42)/9)/(6/(-18)). Suppose -3*v + 2*t - 1 = 0, -4*v - t + h = -v. Factor 15*k**3 - 9*k**3 + k**4 - 8*k**v + 2*k - k**2.
k*(k - 2)*(k - 1)*(k + 1)
Suppose -32 - 30 = -38*j + 52. Let l(o) be the first derivative of 0*o - 14 + 0*o**2 + 4/3*o**3 + 12/5*o**5 + 2/3*o**6 + j*o**4. Determine q so that l(q) = 0.
-1, 0
Let -308*t - 348*t + 35*t**3 + 148*t**2 + 180 - 53*t**2 - 4*t = 0. Calculate t.
-6, 2/7, 3
Let x(j) be the second derivative of -37/10*j**5 - 1/15*j**6 + 0 + 40*j**2 - 119/3*j**3 + 39/2*j**4 - 128*j. Factor x(u).
-2*(u - 1)**3*(u + 40)
Let o = 35 + -69/2. Suppose 6 = b - 4*q, -5*b + 1470 = 5*q + 1440. What is t in 4*t + b - o*t**2 - 1/2*t**3 = 0?
-2, 3
Let a = -54/11231 + 22948/101079. Factor -a*o**3 - 14/3*o**2 - 80/3*o - 200/9.
-2*(o + 1)*(o + 10)**2/9
Let i(k) be the second derivative of -k**6/280 - k**5/35 - k**4/14 - 17*k**2 - 117*k. Let w(p) be the first derivative of i(p). Solve w(c) = 0 for c.
-2, 0
What is n in 135 + 2*n**4 - 2*n**3 - 66*n**2 + 25*n**3 - 14*n**3 - 23 - 44*n - 13*n**3 = 0?
-4, -2, 1, 7
Find p such that -458*p - 848*p - 2144 + 2*p**2 + 477*p - 1313*p = 0.
-1, 1072
Let w(z) be the third derivative of z**8/1512 + 2*z**7/135 - z**6/270 - 14*z**5/135 + z**4/108 + 14*z**3/27 - 2299*z**2. Let w(q) = 0. Calculate q.
-14, -1, 1
Let d be 37/481*-10*-1. Factor 18/13 - 28/13*x + d*x**2.
2*(x - 1)*(5*x - 9)/13
Let j be (-47)/(-94)*(-44)/(-121). Solve -j*w**4 + 6/11*w**2 - 10/11*w + 2/11*w**3 + 4/11 = 0.
-2, 1
Let n(q) = 84*q**3 + 41*q**2 - 101*q - 24. Let s(a) = -28*a**3 - 14*a**2 + 34*a + 8. Suppose 6*j + j = -42. Let w(i) = j*n(i) - 17*s(i). Factor w(y).
-4*(y - 1)*(y + 1)*(7*y + 2)
Let g = 21/1748 - 1640519/1748. Let r = 939 + g. Factor -1/2 + r*l**3 - 1/2*l + 1/2*l**2.
(l - 1)*(l + 1)**2/2
Let m(y) be the first derivative of 64/3*y**2 - 109 - 31/24*y**4 + 0*y - 112/9*y**3 - 1/30*y**5. Find a, given that m(a) = 0.
-16, 0, 1
Determine d, given that -8331362/5 + 8164/5*d - 2/5*d**2 = 0.
2041
Let d(n) = 555*n**2 + 49680*n + 5142025. Let b(t) = 23*t**2 + 2070*t + 214251. Let v(s) = -145*b(s) + 6*d(s). Solve v(a) = 0 for a.
-207
Let k(o) be the second derivative of 1/27*o**4 - 2 - 1/3*o**2 - 1/27*o**3 - 31*o. Factor k(r).
2*(r + 1)*(2*r - 3)/9
Let l(d) be the second derivative of -d**5/4 + 20*d**4 + 170*d**3 + 520*d**2 - 15*d + 7. What is z in l(z) = 0?
-2, 52
Let q = 788407 - 788407. Factor 22/15*g - 2/15*g**2 + q.
-2*g*(g - 11)/15
Factor 3*q**4 + 30095*q + 2961*q**2 - 17640 - 10531*q**2 - 4475*q - 8*q**4 - 25*q**3 - 380*q**3.
-5*(q - 2)*(q - 1)*(q + 42)**2
Factor -14/3*i**3 + 0 + 56/3*i - 2/3*i**2 + 1/6*i**4.
i*(i - 28)*(i - 2)*(i + 2)/6
Let f(p) be the third derivative of p**6/1440 - p**5/240 - p**4/12 - 11*p**3/3 + 31*p**2. Let c(g) be the first derivative of f(g). Factor c(r).
(r - 4)*(r + 2)/4
Suppose x - 280*s + 22 = -286*s, -x + 3*s = -14. Factor -x*c - 1/4*c**2 - 3.
-(c + 2)*(c + 6)/4
Let d = 42/85 - -1/170. Let t(f) be the second derivative of d*f**5 - 35/12*f**4 + 10*f**2 - 21*f + 0 + 10/3*f**3. Find q, given that t(q) = 0.
-1/2, 2
Let m be 8064/(-32) + (4 - -2). Let n be (m/12 - 2)/(-3). Find v, given that -1/2*v**4 - n*v**2 + 7/2*v**3 + 13/2*v - 2 = 0.
1, 4
Let z(d) be the first derivative of 51 - 5/6*d**6 + 0*d + d**5 + 5*d**3 + 0*d**2 + 25/4*d**4. Suppose z(i) = 0. Calculate i.
-1, 0, 3
Let v(b) = -b**4 + 15*b**3 - b**2. Let o(u) = 10*u**4 - 143*u**3 + 25*u**2. Let q(f) = -4*o(f) - 36*v(f). Factor q(c).
-4*c**2*(c - 4)**2
Let -21*x**5 - 24*x**3 - 180 + 198*x**2 + x**4 - 19*x**4 + 21*x + 35*x**5 - 11*x**5 = 0. What is x?
-3, -1, 1, 4, 5
Let a(d) be the third derivative of 5*d**8/72 - 83*d**7/105 + 61*d**6/20 - 347*d**5/90 - 2*d**4/3 + 4*d**3 - 3*d**2 - 8. Solve a(j) = 0.
-2/7, 2/5, 1, 3
Let h be (-92)/(-99) + (3472/341 - 10). Factor 8/9*f + 0 + h*f**2 + 2/9*f**3.
2*f*(f + 1)*(f + 4)/9
Let r(v) be the second derivative of 6*v**5 + 58/15*v**6 + 0*v**2 - 2/21*v**7 + 0*v**3 + 1 + 0*v**4 - 15*v. Determine a, given that r(a) = 0.
-1, 0, 30
Suppose -2*a + 5 - 1 = 0. Let t = -4593 - -4596. Determine j so that 3*j**2 - t*j - a*j**2 - 5 + 7 = 0.
1, 2
Let j(i) be the third derivative of i**6/120 - 11*i**5/60 - 35*i**4/4 - 1028*i**2 - 3. Find c such that j(c) = 0.
-10, 0, 21
Let t be 11/(286/(-4)) - (-9 - (-2936)/520). Factor -t*x**2 - 12/5*x + 4/5.
-4*(x + 1)*(4*x - 1)/5
Let w = -113/129 + 95/43. Factor 4/3*k**2 - w + 20/3*k**3 - 20/3*k.
4*(k - 1)*(k + 1)*(5*k + 1)/3
Factor 221*g + 185942*g**2 - 185945*g**2 + 31*g - 960.
-3*(g - 80)*(g - 4)
Let s(g) be the second derivative of -g**6/2 - g**5 + 5*g**4/3 - 69*g + 31. Factor s(t).
-5*t**2*(t + 2)*(3*t - 2)
Let j be 0 - -4 - (-1 - 0)*-2. Let c be 2*(5 - (-190)/(-40)). Solve -1/2*m**j + 0 - 3/2*m**3 + c*m**4 + m + 1/2*m**5 = 0.
-2, -1, 0, 1
Suppose -5*o + 10 = 64*s - 65*s, -2*s + 40 = 5*o. Let k be 3/(135/s*(-7)/(-525)). Factor -k - 35/3*q**2 - 185/3*q.
-5*(q + 5)*(7*q + 2)/3
Let l(g) be the first derivative of g**6/240 - g**4/16 + g**3/6 + 23*g**2 + 2*g - 64. Let o(h) be the second derivative of l(h). Find y such that o(y) = 0.
-2, 1
Let v be 1 + -1 - (26256/(-10990))/(-6). Let c = 2/1099 - v. Factor 0 + 0*s + 2/5*s**4 + 2/5*s**3 - 2/5*s**5 - c*s**2.
-2*s**2*(s - 1)**2*(s + 1)/5
Suppose -2*p - 5*z = -1, -3*p = p + 4*z - 8. Factor -46*w**2 - 14*w**p - 227*w + 434*w - 219*w.
-2*w*(w + 3)*(7*w + 2)
Let z(x) = 2*x**2 - 27*x + 41. Let i be z(-20). Let w = 1383 - i. What is h in 4/7 + 18/7*h**w + 22/7*h = 0?
-1, -2/9
Let u(j) be the second derivative of -55*j - 2/225*j**6 + 1/45*j**4 + 0*j**5 - 1 - 1/315*j**7 + 1/45*j**3 + 0*j**2. Let u(l) = 0. Calculate l.
-1, 0, 1
Let z = 362 - 578. Let l = -214 - z. Find t such that 6/5*t - 2/5*t**l + 0 = 0.
0, 3
Let p(g) be the first derivative of -3*g**6/16 - 33*g**5/40 - 31*g**4/32 + 17*g**3/24 + 5*g**2/2 + 2*g + 449. Determine v, given that p(v) = 0.
-4/3, -1, 1
Let n be (-1 - (-63)/18)*6. Let a be -6 + 1/n*123 + -2. Suppose -1/5*i**5 + 1/5*i**4 + 0 + 0*i + 1/5*i**3 - a*i**2 = 0. Calculate i.
-1, 0, 1
Suppose -145 = 7*n - 159. Factor -22*r**4 - 4*r**3 - 74*r + 106*r + 220*r**n - 8*r**3 + 4*r**5 - 6*r**4 + 168*r.
4*r*(r - 5)**2*(r + 1)*(r + 2)
Let b(l) be the first derivative of -2*l**5/5 + 1093*l**4/6 - 2168*l**3/27 - 324*l**2 + 2912*l/9 + 4379. Determine d, given that b(d) = 0.
-1, 2/3, 364
Let c = -11 + 6. Let q = 20 + c. Solve -12 + 20*b**4 - 13*b**5 - 69*b**3 + 33*b**2 - 18*b**5 + 25*b**5 + q*b + 19*b**4 = 0.
-1/2, 1, 4
Let t(r) = -6*r + 114. Let b(p) = p. Let a(m) = -4*b(m) + t(m). Let n be a(11). What is c in -2/5*c**2 + 0*c**3 + 0*c + 0 + 2/5*c**n = 0?
-1, 0, 1
Determine u so that -5*u**5 + 14618 - 25*u + 4*u**2 + 28*u**3 + 2*u**4 - 6*u**3 - 14632 = 0.
-1, 7/5, 2
Let f(i) = 7*i**3 + 14*i**2 + 20*i. Let t(g) = -10*g**3 - 15*g**2 - 20*g. Let u(x) = -3*f(x) - 2*t(x). Let u(r) = 0. What is r?
-10, -2, 0
Suppose 2*j - 178 = -28*n + 25*n, -j + 59 = n. Suppose -2*s + 14*s = n. Factor 2/21*b**s + 2/7*b**4 - 4/21*b**2 - 2/7*b + 4/21*b**3 - 2/21.
2*(b - 1)*(b + 1)**4/21
Let o(x) = x**2 - 6*x + 12. Let l be o(3). Let y = 117 - 114. Let 6*z**l - 10*z**2 - 7*z**3 - 2*z**4 - 13*z**3 + 2*z**y = 0. What is z?
-5, -1, 0
Let b be (18/(-525)*5)/((-4)/14). Let y(t) be the second derivative of -1/5*t**4 + 3/100*t**5 + 12*t - b*t**2 + 0 + 1/2*t**3. Determine q, given that y(q) = 0.
1, 2
Let o = 30 + -28. Let d = 7 + -4. Factor 3*n**o - 2*n - 4*n - d*n + 3*n.
3*n*(n - 2)
Let f(a) = a**3 - 81*a**2 - 619*a + 264. Let r be f(88). Factor 1/2*m**4 + r*m + 0 + 