 2)**2/3
Let o(f) = 3*f**2 - 696*f - 60537. Let p(a) = a**2 + 3. Let l(b) = 2*o(b) - 10*p(b). Factor l(q).
-4*(q + 174)**2
Let v(a) = 12*a**2 - 29*a - 4. Let l be v(12). Let t = l + -5503/4. Suppose 0*n**3 - 3/4*n**2 - 1/2*n + 0 + t*n**4 = 0. Calculate n.
-1, 0, 2
Let u(s) = s - 1. Suppose 0 = -g - 6*g + 28. Let c be u(g). Factor -4*q**c + 12*q - 14 + 25 - 7 - 12.
-4*(q - 1)**2*(q + 2)
Let g(q) be the second derivative of 2*q**4 + 0*q**2 - 209*q + 0 - 1/3*q**3 - 16/5*q**5. Factor g(d).
-2*d*(4*d - 1)*(8*d - 1)
Let z(f) be the third derivative of -f**6/24 + 7*f**5/40 - 41*f**3/6 - f**2 - 4. Let o(w) be the first derivative of z(w). Factor o(d).
-3*d*(5*d - 7)
Let x(u) be the third derivative of -73*u**2 + 0 + 0*u**3 + 0*u - 1/4*u**4 - 13/30*u**5. Determine t so that x(t) = 0.
-3/13, 0
Let w(y) be the first derivative of -2*y**3/27 - 73*y**2/3 - 7867. Solve w(d) = 0 for d.
-219, 0
Let c(v) be the second derivative of -v**7/70 + 49*v**6/50 - 1971*v**5/100 + 1127*v**4/20 + 529*v**3 - 1407*v. Determine o so that c(o) = 0.
-2, 0, 5, 23
Let x(o) = o**3 + o**2 + 2*o + 26. Let m be x(-4). Let s(n) = -2*n**2 - 3. Let p(y) = 65*y**2 - 20*y + 105. Let c(g) = m*s(g) - p(g). Solve c(u) = 0 for u.
1, 3
Let q(f) be the third derivative of -f**6/6 - 383*f**5/12 - 1885*f**4/12 - 625*f**3/2 + 2702*f**2. What is s in q(s) = 0?
-375/4, -1
Let h be (1/(-2) - 1) + 418/228. Let i be (24/9 - 2)/(-31 + 33). Determine b, given that 1/3*b**2 - h*b**4 - i*b + 0 + 1/3*b**3 = 0.
-1, 0, 1
Let n(l) be the third derivative of l**6/15 - 163*l**5/3 - 409*l**4/6 + 272*l**3 - 13211*l**2. Suppose n(o) = 0. What is o?
-1, 1/2, 408
Let m(o) be the third derivative of -o**6/30 - 7*o**5/15 + 8*o**4 + 120*o**3 + 910*o**2. Factor m(v).
-4*(v - 6)*(v + 3)*(v + 10)
Factor -432/5 - 29/5*i**2 + 1/5*i**3 - 48*i.
(i - 36)*(i + 3)*(i + 4)/5
Factor -900*n - 240*n**2 - 1/3*n**4 + 19*n**3 + 0.
-n*(n - 30)**2*(n + 3)/3
Solve -302*a + 0*a**4 - 33*a**3 + 4*a**4 + 321*a**3 - 12*a**2 - 538*a + 560*a**2 = 0.
-70, -3, 0, 1
Let d = 794990/51 - 15588. Let t(b) be the first derivative of -16 + 0*b + 3/17*b**2 + d*b**3. Factor t(x).
2*x*(x + 3)/17
Suppose -23*p - 6 = -24*p. Suppose 35 = p*t + t. Suppose 25*f**2 - f + 9*f - t*f + 7*f = 0. Calculate f.
-2/5, 0
Factor 2*n**2 + 11*n**2 + 2*n**2 + 19*n**2 + 2416 + 6016*n - 94*n**2.
-4*(3*n - 302)*(5*n + 2)
Let q = -304 + 578. Find r such that -1085*r**2 - 72 - 608*r**2 + q*r + 127*r**2 - 243*r**3 - 934*r = 0.
-6, -2/9
Let g(i) be the second derivative of -i**4/48 + 17*i**3/3 - 53*i - 1. Factor g(c).
-c*(c - 136)/4
Suppose 4*g - 53 = -3*b + 595, 0 = -5*b. Find s such that -g*s**2 - 235*s**2 - 35*s**2 + 1944*s**3 - 2916*s**4 + 32*s = 0.
0, 2/9
Let b(o) be the first derivative of -3*o**5/25 - 3*o**4/10 + 32*o**3 + 1344*o**2/5 + 1653. Find x, given that b(x) = 0.
-8, 0, 14
Let r(h) = 4*h**2 - 2. Let z be r(4). Solve z*g**3 - 20*g**2 + 32*g - 144 + 96*g - 66*g**3 = 0.
-9, 2
Let g(i) be the first derivative of -484*i**5/45 - 2959*i**4/3 - 4288*i**3/9 - 584*i**2/9 - 1628. Determine d so that g(d) = 0.
-73, -2/11, 0
Let f(o) be the third derivative of 1/135*o**5 - 8/9*o**3 + 143*o**2 + 11/54*o**4 + 0*o + 0. Factor f(r).
4*(r - 1)*(r + 12)/9
Let h(o) = -12*o**2 - 8560*o + 8668. Let a(y) = -7*y**2 - 4892*y + 4953. Let w(k) = 16*a(k) - 9*h(k). Factor w(d).
-4*(d - 1)*(d + 309)
Let a be 2370/216 - 27/9. Let f = 74/9 - a. Find u, given that 1/2*u - 1/4 - f*u**2 = 0.
1
Suppose 8408388/7*y**2 + 1275/7*y**4 - 8589864/7*y + 3/7*y**5 + 0 + 180198/7*y**3 = 0. What is y?
-142, 0, 1
Factor 5*z**2 + 16255*z - 8355 + 4844 - 20*z**2 - 7319.
-5*(z - 1083)*(3*z - 2)
Let g be (-689)/105 - (-44 + 37). Let m = g + -1/105. Suppose 6/7*k**2 - 6/7*k**4 - 3/7*k + 0 + 0*k**3 + m*k**5 = 0. Calculate k.
-1, 0, 1
Factor -256/5*w**2 + 0*w + 0 - 4/5*w**5 - 48/5*w**4 - 192/5*w**3.
-4*w**2*(w + 4)**3/5
Let r(n) = -7*n**4 + 3*n**3 + n**2 + n + 1. Let d(h) = 96*h**4 - 90*h**3 + 1920*h**2 + 1966*h - 14. Let p(u) = -2*d(u) - 28*r(u). Factor p(j).
4*j*(j - 22)*(j + 1)*(j + 45)
Let x(f) be the third derivative of f**5/240 + f**4/32 - 35*f**3/12 - 2299*f**2. Factor x(q).
(q - 7)*(q + 10)/4
Let r(i) = -387*i**2 - 1536*i + 51. Let u be r(-4). Factor 8*f**2 + 0 + 1/2*f**u + 0*f.
f**2*(f + 16)/2
Factor 10 - 2 - 61*p**2 + 28 - 53*p**2 + 21*p + 117*p**2.
3*(p + 3)*(p + 4)
Let s(l) = 8*l**2 + 18*l + 22. Let g(d) = -17*d**2 - 36*d - 45. Let u = 199 + -212. Let f(b) = u*s(b) - 6*g(b). Suppose f(x) = 0. What is x?
-8, -1
Let t(q) = q + 59. Let x be t(5). Suppose -x*y + 3*y**3 - 4*y**3 - 66*y + 134*y - 3*y**2 = 0. What is y?
-4, 0, 1
Factor -5*l**3 - 243*l + 13505343*l**2 - 1050 - 13505153*l**2 + 1108*l.
-5*(l - 42)*(l - 1)*(l + 5)
Let m(i) be the first derivative of 66/7*i**2 + 120/7*i + 219 + 3/28*i**4 + 2*i**3. Factor m(u).
3*(u + 2)**2*(u + 10)/7
Let t(g) be the third derivative of -5*g**8/84 - 5*g**7/14 + g**6/2 + 23*g**5/6 - 10*g**4 + 15*g**3/2 - 13*g**2 - 14. Let t(d) = 0. Calculate d.
-3, 1/4, 1
Let p(c) be the third derivative of 7/39*c**3 + 2/39*c**4 + c**2 + 0 + 16*c + 1/390*c**5. Find t such that p(t) = 0.
-7, -1
Let k = -232427/5 + 46984. Let v = k - 497. Factor -v*a**3 - 6/5*a**2 + 0*a - 2/5*a**4 + 0.
-2*a**2*(a + 1)*(a + 3)/5
Let n(o) be the second derivative of -9/2*o**2 - 1/12*o**4 + 26 + o + 5/3*o**3. Factor n(p).
-(p - 9)*(p - 1)
Suppose -10*d = 57*d. Let x(f) be the third derivative of -11/48*f**4 + 0 + 1/120*f**5 + d*f + 5/6*f**3 + 37*f**2. Factor x(k).
(k - 10)*(k - 1)/2
Let u = 3539 + -10615/3. Let r(l) be the first derivative of 5/9*l**3 + 1/2*l**2 - u*l + 13. Find d such that r(d) = 0.
-1, 2/5
Let t(j) be the third derivative of j**5/120 - 5*j**4/8 + 26*j**3/3 - 270*j**2 - j + 1. Factor t(l).
(l - 26)*(l - 4)/2
Let w be (6/105*-5)/(2/(-7868)). Factor -1121*g**3 + w*g**3 + 32*g - 8*g - 18*g**2 + 8*g**2 - 8*g**2.
3*g*(g - 4)*(g - 2)
Let j = -4974 - -4974. Let l(r) be the second derivative of 14/33*r**3 + 8/11*r**2 + 1/110*r**5 - 9*r + j + 7/66*r**4. Let l(k) = 0. Calculate k.
-4, -2, -1
Let p(t) be the first derivative of -t**6/360 - t**5/30 - t**4/6 + 2*t**3/3 + 47. Let v(j) be the third derivative of p(j). Determine h, given that v(h) = 0.
-2
Let b be 3/(-3*4/12 + 2). Find k, given that 20*k**2 + 20*k**2 + 2542*k**4 - 2537*k**4 + 30*k**b = 0.
-4, -2, 0
Suppose -8/5*r**3 + 16/5*r**2 - 12/5 + 8/5*r - 4/5*r**4 = 0. Calculate r.
-3, -1, 1
Suppose 153*p - 229*p = -251*p - 300*p - 243*p. Factor 1/3*g**4 - 4/3*g**2 - 1/3*g**3 + 4/3*g + p.
g*(g - 2)*(g - 1)*(g + 2)/3
Let x = -776 + 779. Let f(v) be the third derivative of 18*v**2 + 0*v**4 + 0 + 0*v**6 + 0*v**5 - 1/840*v**8 + 0*v + 1/175*v**7 + 0*v**x. What is u in f(u) = 0?
0, 3
Factor 1/3*a**3 + 0 + 70756/3*a - 532/3*a**2.
a*(a - 266)**2/3
Find v such that -1/3*v**4 - 2988*v - 1944 - 3242/3*v**2 - 37*v**3 = 0.
-54, -2, -1
Factor -171/2*q + 3/2*q**2 + 165.
3*(q - 55)*(q - 2)/2
Suppose -z + 5*w = 60, -4*w = 237*z - 242*z - 27. Let 25/6*y**2 - 1/6*y**z - 14/3 - 3/2*y**4 - 11/6*y**3 + 4*y = 0. Calculate y.
-7, -2, 1
Let h(w) be the third derivative of w**7/840 + w**6/480 - w**5/120 + w**2 - 174. Factor h(y).
y**2*(y - 1)*(y + 2)/4
Let y(z) = -60*z**3 + 487*z**2 - 452*z + 25. Let o(v) = 60*v**3 - 486*v**2 + 452*v - 26. Let l(s) = -3*o(s) - 2*y(s). Factor l(r).
-4*(r - 7)*(r - 1)*(15*r - 1)
Let p(r) be the third derivative of 0*r - 14*r**3 + 2/15*r**6 - 30*r**2 - 3 + 31/3*r**4 + 29/5*r**5. Solve p(f) = 0.
-21, -1, 1/4
Let d(h) be the second derivative of -h**4 + 769*h**3/3 - 128*h**2 + 656*h. Solve d(g) = 0.
1/6, 128
Let a(g) be the second derivative of 40/3*g**3 + 7*g + 1/12*g**5 + 11/2*g**2 - 5/3*g**4 + 0. Let l(j) be the first derivative of a(j). Solve l(i) = 0 for i.
4
Let x(j) be the first derivative of 7*j**2 - 57 + 1/3*j**3 - 15*j. Factor x(a).
(a - 1)*(a + 15)
Factor 2179870*h + 0*h**3 + 0*h**3 + 377*h**2 + 3797*h**2 + 2175698 + 2*h**3.
2*(h + 1)*(h + 1043)**2
Let a(t) = 20*t**2 + 388*t - 904. Let f(o) = -o**2 - 17 + 179 + 42 - 78*o - 23 - 3*o**2. Let k(v) = -3*a(v) - 16*f(v). Factor k(w).
4*(w - 2)*(w + 23)
Suppose 345*t - 327*t - 45 - 9 = 0. Let r(x) be the first derivative of -24*x**2 + 21*x**t - 21/4*x**4 + 11 - 3*x**5 + 12*x + 3/2*x**6. Factor r(w).
3*(w - 1)**3*(w + 2)*(3*w - 2)
Let w = 231659 - 231603. Find j such that 20/7*j**2 - w + 2*j 