t g(a) be the third derivative of -a**6/240 - 31*a**5/60 - 179*a**4/48 - 59*a**3/6 + 1637*a**2. Factor g(d).
-(d + 1)*(d + 2)*(d + 59)/2
Let c be (-110)/250*(-8)/(-700)*-113. Let z = 2/625 + c. Determine j, given that -z*j**3 + 2/7*j**4 + 4/7*j - 2/7 + 0*j**2 = 0.
-1, 1
Suppose 0 = m - q - 83, 162 = 3*m - m + 2*q. Suppose -3*s + m = -2*s. Solve -2*c**4 + 82*c**2 - s*c**2 + 0*c**4 + 2*c**3 = 0 for c.
0, 1
Let p be -640 - 7/(-4)*4. Let a = 636 + p. Find t such that 4/15*t - 2/3*t**2 + 2/5*t**a + 0 = 0.
0, 2/3, 1
Let k(u) be the third derivative of -2*u**7/105 + u**6 - 91*u**5/5 + 338*u**4/3 + 188*u**2 + 2*u. Factor k(l).
-4*l*(l - 13)**2*(l - 4)
Let x(h) = -16*h**2 - 4444*h + 9302. Let i(o) = -7*o**2 - 2242*o + 4652. Let b(z) = -5*i(z) + 2*x(z). Factor b(f).
3*(f - 2)*(f + 776)
Let r(v) be the third derivative of 1/20*v**5 + 0 - 61*v**2 + 0*v**3 + v**4 + 0*v. Determine u, given that r(u) = 0.
-8, 0
Let o be 48/(-9)*27/(-12). Let i(r) = r**3 - 11*r**2 - 8*r - 48. Let u be i(o). Let 6/19*s**3 + 4/19*s**2 + 0 + 2/19*s**4 + u*s = 0. Calculate s.
-2, -1, 0
Let h(v) be the third derivative of v**5/75 + 41*v**4/30 + 52*v**3/5 - 2393*v**2. Factor h(l).
4*(l + 2)*(l + 39)/5
Let t(s) be the first derivative of -s**4/2 + 14*s**3/3 + 34*s**2 - 80*s - 3494. Factor t(g).
-2*(g - 10)*(g - 1)*(g + 4)
Find l, given that 3/2*l**3 - 201/2*l**2 - 540*l + 0 = 0.
-5, 0, 72
Let o(i) be the third derivative of i**7/1785 + 178*i**6/255 + 31684*i**5/85 + 5639752*i**4/51 + 1003875856*i**3/51 + 325*i**2 - 2. Suppose o(n) = 0. What is n?
-178
Let x(b) be the second derivative of 2*b**6/5 + 52*b**5/5 - 37*b**4/3 - 12*b**3 - 14*b + 12. Factor x(y).
4*y*(y - 1)*(y + 18)*(3*y + 1)
Let v(p) be the first derivative of -6*p + 15/8*p**4 + 37/4*p**2 - 13/2*p**3 - 1/10*p**5 - 230. Suppose v(n) = 0. What is n?
1, 12
Let w be (-21)/84 - -2*281/8. Suppose 134 = 4*v - u - w, 255 = 5*v - 4*u. What is d in -4*d**4 + 49*d**2 + 4*d**3 - 96*d**2 - 4*d + v*d**2 = 0?
-1, 0, 1
Let r(c) = 4*c**2 + 84*c + 168. Let f(y) = 4*y**2 + 85*y + 166. Suppose -48 = -3*g - 9*g. Let l(t) = g*f(t) - 3*r(t). What is b in l(b) = 0?
-20, -2
Let j(z) = 41*z**4 + 106*z**3 + 28*z**2 - 12*z + 5*z - 93*z**2 - 6*z**4 + 12*z. Let l(v) = v**4 - 2*v**3 - v**2 - v. Let r(q) = j(q) - 3*l(q). Factor r(a).
2*a*(a + 4)*(4*a - 1)**2
Let o(c) be the third derivative of -c**8/672 - c**7/420 + c**6/120 - 629*c**2. Solve o(s) = 0 for s.
-2, 0, 1
Determine k so that 4/9*k**4 - 1808/9*k + 1808/9*k**3 - 1816/9*k**2 + 604/3 = 0.
-453, -1, 1
Let f be (20 + -2)*(238/51)/14. Let p(k) be the first derivative of f*k**3 + 4*k**2 + 0*k + 3*k**4 + 2/5*k**5 - 3. Determine d so that p(d) = 0.
-4, -1, 0
Let i(p) = -1683*p**3 + 738*p**2 - 84*p + 18. Let o = 182 + -187. Let c(b) = -481*b**3 + 211*b**2 - 24*b + 5. Let r(q) = o*i(q) + 18*c(q). Factor r(x).
-3*x*(9*x - 2)**2
Let r be (-18 + 14)*1/(-12). Let b(w) be the second derivative of 4/3*w**3 + 0 - 9*w + r*w**4 + 0*w**2 - 1/5*w**5. Find n, given that b(n) = 0.
-1, 0, 2
Let a = 1164149/5 - 232826. Factor a*v - 1/5*v**3 - 8/5*v**2 - 2.
-(v - 1)**2*(v + 10)/5
Let d(f) be the third derivative of -5*f**6/192 + 53*f**5/480 - 31*f**4/192 + f**3/16 - 1800*f**2. Factor d(m).
-(m - 1)**2*(25*m - 3)/8
Suppose 7*v = 4*v + 1662. Suppose -v*o = -548*o - 18. Factor -3/5*c**2 + 3/5*c**o + 12/5 - 12/5*c.
3*(c - 2)*(c - 1)*(c + 2)/5
Let r(j) be the third derivative of j**8/6720 + 3*j**7/140 - 37*j**6/240 - j**5/3 + j**4/12 + 22*j**2. Let n(l) be the third derivative of r(l). Factor n(f).
3*(f - 1)*(f + 37)
Let g be (4/12)/(31/(-93)). Let a(s) = 19*s + 19. Let k be a(g). Solve 0*w + 2/7*w**4 + 4/7*w**3 + k + 2/7*w**2 = 0 for w.
-1, 0
Find o, given that -2/7*o**4 + 1280/7 - 38/7*o**3 - 204/7*o**2 - 64/7*o = 0.
-8, -5, 2
Let a(m) be the second derivative of m**5/50 + 4*m**4/15 - m**3/15 - 8*m**2/5 + 1807*m. Factor a(w).
2*(w - 1)*(w + 1)*(w + 8)/5
Determine x, given that 824/7 - 118*x + 2/7*x**2 = 0.
1, 412
Solve -3*y**4 - 38/7*y + 40/7*y**3 + 45/7*y**2 - 24/7 - 2/7*y**5 = 0 for y.
-12, -1, -1/2, 1, 2
Let 9/2*x + 0 + 1/2*x**2 = 0. What is x?
-9, 0
Let q = 152 + -144. Suppose -q*a + 24 = -0*a. Factor -3*h**a + 0*h**3 - 314 + 326 + 21*h + 6*h**2.
-3*(h - 4)*(h + 1)**2
Let z(i) be the first derivative of -2*i**5/65 - 9*i**4/26 - 16*i**3/13 - 20*i**2/13 - 4861. Determine v, given that z(v) = 0.
-5, -2, 0
Let b(w) be the second derivative of w**4/36 - 119*w**3/9 + 79*w**2/2 - 2*w + 1833. Factor b(n).
(n - 237)*(n - 1)/3
Let v be 0/(6 - (-12 + 20)). Let g(q) be the first derivative of v*q - 8 + 0*q**2 - 1/2*q**4 - 2/3*q**3. Let g(w) = 0. Calculate w.
-1, 0
Let w(x) be the second derivative of x**5/120 - 469*x**4/72 - 157*x**3/6 + 7988*x. Factor w(c).
c*(c - 471)*(c + 2)/6
Suppose 0 = -5*j - 2*m - 19 - 185, -3 = -m. Let h = -32 - j. Factor -4*c - 7*c**3 - 3*c**3 + 6*c**4 + 8*c**2 - h*c**3 + 10*c**2.
2*c*(c - 2)*(c - 1)*(3*c - 1)
Let v(k) = 4*k**4 - k**3 + k**2 - k + 2. Let h(u) = -17*u**4 - 29*u**3 + 571*u**2 - 1043*u + 498. Let p(t) = -3*h(t) - 12*v(t). Factor p(z).
3*(z - 11)*(z - 1)**2*(z + 46)
Solve 128/9*m**3 - 4/9*m**2 - 28/9*m + 2/3 - 4*m**5 - 22/3*m**4 = 0 for m.
-3, -1/2, 1/3, 1
Suppose -168 = -9*i - 24. Suppose 0 = -3*h + 2*z + i, h + 11 = 2*h + 5*z. Factor 29*q**5 - 27*q**5 - h*q**3 + 3*q + q + 2*q**2 - 2*q**4.
2*q*(q - 2)*(q - 1)*(q + 1)**2
Let f = 167 - 157. Solve 5*p**4 - 21*p**2 + f*p - 10*p**3 + 4*p**2 + 5*p**2 + 7*p**2 = 0 for p.
-1, 0, 1, 2
Let m be (-8)/6*5607/(-14). Factor 198*u - 539*u**2 - 18*u - 1620 + m*u**2.
-5*(u - 18)**2
Let q be 0 + (-5)/1 + 1. Let k(z) = z**3 + 7*z**2 + 11*z + 11. Let w be k(q). Suppose w*u**5 - 10*u - 10 - 50*u**3 + 27*u + 10*u**4 + 18*u = 0. Calculate u.
-2, -1, 1/3, 1
Let m = 242194/7 + -34598. Factor 6/7*i**3 + 8/7 - m*i**2 - 6/7*i.
2*(i - 1)*(i + 1)*(3*i - 4)/7
Let t = 2/32001 - -4704139/128004. Factor 117/2*v**3 + 0 + 84*v**2 + t*v + 3/4*v**5 + 12*v**4.
3*v*(v + 1)**2*(v + 7)**2/4
Let g(o) be the third derivative of o**7/7560 + o**6/216 - 11*o**5/360 - o**4/12 + 43*o**3/6 + 26*o**2. Let b(q) be the second derivative of g(q). Factor b(x).
(x - 1)*(x + 11)/3
Let s(u) be the third derivative of 0*u + 1/840*u**8 - 2/525*u**7 - 25*u**2 + 0 + 2/75*u**5 + 2/5*u**3 - 1/50*u**6 + 13/60*u**4. Factor s(d).
2*(d - 3)*(d - 2)*(d + 1)**3/5
Let h(b) = -3*b**4 + 39*b**3 - 3*b**2 - 31*b - 26. Let a(t) = -t**4 + 7*t**3 + t - 1. Let d(o) = -20*a(o) + 5*h(o). Factor d(x).
5*(x - 2)*(x + 1)**2*(x + 11)
Let u be -1 + -2 + (-7 - -12). Factor -n**2 + 2*n**u + n**2 + 50 - 20*n.
2*(n - 5)**2
Suppose -2*o + 1317 - 1092 = 43*o. What is f in 0*f + 4/3*f**o + 0*f**2 + 0 - 16/3*f**4 + 4*f**3 = 0?
0, 1, 3
Suppose -6*a + 3*a + 214 = 4*f, -5*f - 3*a = -269. Solve 130 + f + 52*r - 3*r**2 + 153 + 5*r**2 = 0 for r.
-13
Let r = 3 + 1. Suppose 25 = r*j - w, 5*j - 22 = 5*w - 2. Determine d so that -5*d**2 - 2*d + j*d**2 + 9 + 10*d - 3 = 0.
-3, -1
Suppose -85*r = -67*r. Let w(l) be the second derivative of 0*l**2 - 15*l - 3/10*l**5 - 1/4*l**4 + 3/10*l**6 + 0*l**3 + r. Factor w(s).
3*s**2*(s - 1)*(3*s + 1)
Let y(d) be the first derivative of -8*d**5 - 25/4*d**4 + 23 - 10/3*d**6 + 0*d + 0*d**2 - 5/3*d**3. Factor y(f).
-5*f**2*(f + 1)*(2*f + 1)**2
Let j = 15813039/9226 - -423/1318. Let z = j - 1712. Solve 2*y**4 - 44/7*y**2 + 46/7*y**3 - z*y + 0 = 0.
-4, -2/7, 0, 1
Let b be (11/(-77))/(3/287). Let n = b + 167/12. Factor -q**3 - n - 1/4*q**4 - 3/2*q**2 - q.
-(q + 1)**4/4
Let t(q) be the first derivative of -q**3 - 57*q**2/2 - 144*q - 6. Solve t(f) = 0.
-16, -3
Let p(r) be the third derivative of -r**7/140 - 27*r**6/80 + 27*r**5/8 + 347*r**4/16 + 93*r**3/2 + 2*r**2 - 117*r + 10. Find v, given that p(v) = 0.
-31, -1, 6
Let h(x) be the first derivative of -x**4/4 + 5*x**3/3 + 3*x**2/2 - 13*x - 32. Let z be h(5). Determine o so that 3*o**z - 4*o + 51 + 5*o - 45 + 8*o = 0.
-2, -1
Let z(m) = -3*m**2 - 3*m + 18. Let a(b) = 13 - 7*b + 2*b - 3*b**2 + 5 + 3*b. Let j = -342 + 348. Let g(x) = j*a(x) - 5*z(x). Factor g(q).
-3*(q - 3)*(q + 2)
Let 1680*j - 61*j**2 + 751*j**2 - 80*j**3 + 2*j**4 + 26*j**2 + 882 = 0. Calculate j.
-1, 21
Suppose 3*f - 773 = -761, -f = k - 7. Factor 1/10*o**k + 1/2*o**2 + 0*o + 0.
o**2*(o + 5)/10
Let l be 1 + 11/6 - 2. Let q(s) = s**3 - 46*s**2 + 356*s + 146. Let f be q(36). Factor 0 - 5/6*c**4 + 