ose -i + b - 17 = 0, -14*i = -19*i + b - 101. Let g be (-1 - (-2)/(-10))*35/i. Factor 1/4*x - 1/2*x**3 + 1/4*x**5 + 0 + 0*x**g + 0*x**4.
x*(x - 1)**2*(x + 1)**2/4
Suppose 6*u - 3*t = 7*u - 193, -5*t = 20. Factor 5*w**4 + u*w**3 + 213*w**3 - 438*w**3.
5*w**3*(w - 4)
Let w(a) be the second derivative of 39*a - 5/4*a**4 + 15*a**2 + 0 - 35/6*a**3. What is g in w(g) = 0?
-3, 2/3
Let t(a) be the first derivative of 2/5*a**5 + 0*a + 4*a**2 + 46 + 6*a**3 + 3*a**4. Factor t(h).
2*h*(h + 1)**2*(h + 4)
Factor 4363058/3*f + 2/9*f**3 - 2954/3*f**2 - 6444236666/9.
2*(f - 1477)**3/9
Let r(o) = 192*o + o**2 - 91*o + 1 - 4*o**4 + 3*o**4 - o**3 - 100*o. Let u(v) = -5*v**4 - 46*v**3 + 83*v**2 - 32*v + 6. Let l(h) = -6*r(h) + u(h). Factor l(a).
a*(a - 38)*(a - 1)**2
Let z = -196 + 200. Factor 33*g**2 - 2*g**3 + 33*g**z + 5*g**5 + 180*g - 53*g**3 - 43*g**4 + 27*g**2.
5*g*(g - 3)**2*(g + 2)**2
Suppose -11 + 3 = -4*s + c, 3*c - 12 = 3*s. Let t(b) be the third derivative of 0 + 5/3*b**3 - 10*b**2 + 0*b + 1/8*b**6 - 5/24*b**s - 1/3*b**5. Factor t(v).
5*(v - 1)**2*(3*v + 2)
Let r(k) be the third derivative of k**6/360 - k**5/9 + 67*k**4/72 - 8*k**3/3 + 494*k**2. Factor r(y).
(y - 16)*(y - 3)*(y - 1)/3
Let t be 1/(3 + 9/((-18)/8)). Let g be (222/296)/(-1*t/4). Find m such that 5/2 - 5*m**2 + 10*m**g + 5/2*m**4 - 5*m**5 - 5*m = 0.
-1, 1/2, 1
Let y(h) = h**2 + 3*h + 1. Let k(m) = m**4 + m**3 + 2*m + 1. Let d be 6 - (0 + 4 + 1). Let q(n) = d*y(n) - k(n). Factor q(u).
-u*(u - 1)*(u + 1)**2
Suppose 363 = 5*k - 1957. Let r = 464 - k. Suppose r + 2/13*t**2 - 2/13*t = 0. Calculate t.
0, 1
Let s = -3838/9 - -44702/99. Let c = s - 1358/55. Factor 0 - c*z**3 - 4/5*z**2 - 2/5*z.
-2*z*(z + 1)**2/5
Let p(s) = -4*s - 23. Let b be p(-8). Let v(j) be the first derivative of 28/5*j**5 - 16*j**3 - 8*j**2 + 0*j + b*j**4 - 19. What is x in v(x) = 0?
-2, -2/7, 0, 1
Solve 156/5*f + 41*f**3 + 0 - 604/5*f**2 - 7/5*f**4 = 0 for f.
0, 2/7, 3, 26
Let k = 3259/2 - 1629. Let s be (3 - 1) + (-14)/(0 + 7). Factor -k*i**5 - 3/2*i**3 - 2*i**4 + s*i**2 + 0 + 0*i.
-i**3*(i + 1)*(i + 3)/2
Let i = -9877 - -9897. Let l(m) be the first derivative of -2/11*m**2 + 0*m + 2/11*m**3 + i - 1/22*m**4. Factor l(f).
-2*f*(f - 2)*(f - 1)/11
Let a be 6 - (-511)/15 - 860/(-645). Solve -129/5*t**2 - 3/5*t**4 - 108/5 - a*t - 33/5*t**3 = 0 for t.
-4, -3, -1
Let l = -348 + 4528/13. Let v = -1902/61 - -24848/793. What is m in -v*m**2 + l*m + 6/13 = 0?
-1, 3
Let d(u) be the first derivative of 6 + 1/20*u**5 - 1/60*u**6 + 15*u - 1/6*u**3 - 3/4*u**2 + 1/6*u**4. Let s(p) be the first derivative of d(p). Factor s(n).
-(n - 3)*(n - 1)*(n + 1)**2/2
Let f be (16/3)/(-2) - (846 + -849). Factor -2/3 + t**3 + f*t**2 - t + 1/3*t**4.
(t - 1)*(t + 1)**2*(t + 2)/3
Let h = 10422 - 10410. Let v(y) be the first derivative of -45*y + h + 105*y**2 - 245/3*y**3. Factor v(s).
-5*(7*s - 3)**2
Let l(d) be the first derivative of -2/9*d**2 + 1/9*d**5 + 77 - 4/3*d - 19/18*d**4 + 49/27*d**3. Solve l(c) = 0 for c.
-2/5, 1, 6
Let w = 84574 + -84571. Factor 2/5*g**4 - 2/5 - 4/5*g + 4/5*g**w + 0*g**2.
2*(g - 1)*(g + 1)**3/5
Factor 0 - 1/6*i**2 - 404/3*i.
-i*(i + 808)/6
Let x(m) be the second derivative of m**6/105 - m**5/70 - 5*m**4/21 - 8*m**3/21 - 20*m + 12. Factor x(w).
2*w*(w - 4)*(w + 1)*(w + 2)/7
Let c(a) be the third derivative of a**7/210 - 217*a**6/120 - 73*a**5/20 + 217*a**4/24 + 109*a**3/3 - 79*a**2 + 18. Factor c(q).
(q - 218)*(q - 1)*(q + 1)**2
Let z(y) be the third derivative of -31*y**2 + 1/336*y**8 + 11/30*y**5 - 2*y + 3/20*y**6 + 1/2*y**3 + 1/30*y**7 + 0 + 13/24*y**4. Suppose z(c) = 0. Calculate c.
-3, -1
Suppose 0 = h + 5*a - 38, 2*h + 245 - 216 = 5*a. Let p(j) be the second derivative of 0*j**h + 5/12*j**4 - 10*j**2 + 34*j + 0. Suppose p(l) = 0. Calculate l.
-2, 2
Let c(p) be the third derivative of 79*p**2 + 512/9*p**4 + 1216/135*p**5 + 11/315*p**7 + 0 + 1/1512*p**8 + 104/135*p**6 + 0*p + 4096/27*p**3. Factor c(h).
2*(h + 1)*(h + 8)**4/9
Let l = -1981 - -1979. Let t be ((l/(-4))/1)/(39/1170). Factor -1/3*d**3 - t*d + 4*d**2 + 50/3.
-(d - 5)**2*(d - 2)/3
Let o = 113442 - 113434. Find q, given that 26/3*q - o - 2/3*q**2 = 0.
1, 12
Let z = 381 + -261. Factor 57 - 15*k**2 + 77 - z*k + 35*k**3 - 34.
5*(k - 1)*(k + 2)*(7*k - 10)
Let z be (-505)/1988 - (-4)/16. Let u = z - -1499/1988. What is v in 1/4*v**3 + 3/4*v**2 + 1/4 + u*v = 0?
-1
Let q be 348/70 - 2534/(-88690). What is f in 0*f - 2/3*f**q - 14/3*f**2 + 8/3 + 2*f**4 + 2/3*f**3 = 0?
-1, 1, 2
Let r(h) be the third derivative of -1/270*h**5 - 1/27*h**4 - 4/27*h**3 + 0 + 2*h - 5*h**2. Factor r(m).
-2*(m + 2)**2/9
Let n = -384 + 464. What is p in n + 49*p**2 - 55*p**4 - 8*p**5 + 151*p**2 + 240*p - 7*p**5 = 0?
-2, -1, -2/3, 2
Suppose 837 - 813 = 12*b. Factor -8/7 - 4/7*d + 4/7*d**b.
4*(d - 2)*(d + 1)/7
Suppose 0*r + 4*r = -10*r. Suppose r = 2*t - 0*t + 2*m - 8, 4*t + 3*m - 16 = 0. Let -44/3*q + 16/3 - t*q**2 = 0. Calculate q.
-4, 1/3
Let k = 240 - 237. Solve -39*r - 2*r**k - 63 + 32 + r**3 + 21*r**2 + 26 + 24 = 0.
1, 19
Let m(l) be the third derivative of -l**6/162 + l**5/180 - 4*l**3 + 8*l**2 - 6. Let f(o) be the first derivative of m(o). Factor f(a).
-2*a*(10*a - 3)/9
Suppose u = 75*c - 72*c + 43, 4*u - c = 95. Let h(i) be the first derivative of -2/5*i**5 + i**4 + 0*i**2 - u + 0*i - 2/3*i**3. Factor h(d).
-2*d**2*(d - 1)**2
Let s(g) = g**3 + 5*g**2 - 25*g + 41. Let i be s(-13). Let b be 33/136 - (-116)/i. Determine n, given that 1/2*n**3 + 3/8 - 1/4*n**2 - 1/2*n - b*n**4 = 0.
-1, 1, 3
Suppose 25*v = 31*v - 12. Solve 6*q + v + 6 - 4*q**2 + 27*q**3 + q**2 - 28*q**3 = 0.
-4, -1, 2
Determine v so that -2/5*v**4 - 96*v - 152/5*v**2 + 0 + 8*v**3 = 0.
-2, 0, 10, 12
Factor -4*j**3 + 0*j**3 - 458766*j + 40*j**2 + 458858*j + 48.
-4*(j - 12)*(j + 1)**2
Let n(t) = t + 611. Let f be n(0). Solve -18*x**4 - f*x - 10*x**4 + 259*x - 344*x**2 - 146*x**3 - 128 - 2*x**5 = 0.
-4, -1
Let t(m) = -18101*m - 2*m**2 + 18095*m + 3*m**2 + 11. Let y be t(3). Solve 30/7*h**y - 2*h**3 + 2/7*h**4 - 18/7*h + 0 = 0.
0, 1, 3
Let d be (2/(-3)*(-378)/(-84))/(-2 - -1). Let w(q) be the second derivative of 1/12*q**4 + 0 - 3*q**2 - 13*q - 1/6*q**d. Solve w(n) = 0 for n.
-2, 3
Factor -116352*f**2 + 258946 - 1739*f**3 - 19011314 - 4091904*f - 4*f**4 + 567*f**3 + 1057648.
-4*(f + 5)*(f + 96)**3
Let q(t) = 2*t**4 + 34*t**3 - 224*t**2 - 3760*t - 8714. Let m(p) = -6*p**4 - 106*p**3 + 671*p**2 + 11279*p + 26143. Let s(r) = 4*m(r) + 14*q(r). Factor s(c).
4*(c - 12)*(c + 3)*(c + 11)**2
Suppose -4*g - 3*s = -37, -g - 3*s + 4 = -4*s. Factor -g*j**2 + 80*j + 21*j**2 - 12*j**2 + 800.
2*(j + 20)**2
Let k(s) be the first derivative of -s**3/24 - 59*s**2/8 + 1419*s/8 - 7301. Factor k(t).
-(t - 11)*(t + 129)/8
Suppose -3 = -2*v - 2*a + a, 4*a - 3 = -5*v. Suppose 5 + v*i - 2*i**2 - 2 - 7*i + 3 = 0. Calculate i.
-3, 1
Let b(t) be the third derivative of -t**8/840 - 17*t**7/175 - 49*t**6/150 + t**5/75 + 33*t**4/20 + 49*t**3/15 + 1541*t**2. Let b(y) = 0. What is y?
-49, -1, 1
Let z(c) be the first derivative of 4*c**3/3 - 42*c**2 + 432*c - 5359. Let z(k) = 0. What is k?
9, 12
Let p(t) be the second derivative of -t**5/10 - 73*t**4/6 + 12*t + 3. Factor p(r).
-2*r**2*(r + 73)
Let d = 9237 - 2115278/229. Let b = d + 3709/2061. What is p in 2/9*p**3 - b - 8/9*p - 2/9*p**4 + 4/3*p**2 = 0?
-2, -1, 2
Suppose h**2 - 330*h**3 - 1225 + 330*h + 1225 - h**4 = 0. What is h?
-330, -1, 0, 1
Let 38*l - 88 + 10*l**2 - 535*l + 59*l = 0. Calculate l.
-1/5, 44
Let k(d) be the first derivative of d**7/420 + 19*d**6/180 - d**5/60 - 19*d**4/12 + 35*d**3 + 177. Let b(s) be the third derivative of k(s). Factor b(p).
2*(p - 1)*(p + 1)*(p + 19)
Let h = -240 - -238. Let y(p) = 8*p**2 + 8*p - 37. Let d(t) = -3*t**2 - 3*t + 12. Let s(l) = h*y(l) - 7*d(l). Factor s(o).
5*(o - 1)*(o + 2)
Factor 2682*j + 568*j**4 + 159*j**3 - 1087*j**4 - 408*j**2 + 516*j**4 - 54702*j.
-3*j*(j - 34)**2*(j + 15)
Let q be (4/(-12))/(20/(-6)*49). Let n = 989/4410 - q. What is p in 2/9*p**3 + 8/9 - 8/9*p**2 - n*p = 0?
-1, 1, 4
Let q(g) be the third derivative of -g**5/210 - 4*g**4/7 - 92*g**3/21 - 243*g**2. Determine a, given that q(a) = 0.
-46, -2
Determine h so that 1/8*h**4 + 15/8*h**3 - 36 - 4*h + 27/4*h**2 = 0.
-9, -4, 2
Let m(k) = -k**3 - 8*k**2 + 18*k + 6. Let y be m(-10). Solve -y*l - 46*l 