). Factor g**2 - 8*g**2 - 16*g**2 + 7*g**v + 4*g**4.
4*g**2*(g - 2)*(g + 2)
Suppose -10*r = -6 + 66. Let t(b) = b**3 - 35*b**2 - 36*b - 12. Let u(w) = 3*w**3 - 70*w**2 - 73*w - 26. Let i(q) = r*u(q) + 13*t(q). Factor i(g).
-5*g*(g + 1)*(g + 6)
Let u(i) = -i**2 - 95*i + 3300. Let n be u(27). Let b(p) be the second derivative of 2/3*p**3 + 1/3*p**4 - 5*p - 1/4*p**5 + 0 + 0*p**2 - 1/10*p**n. Factor b(m).
-m*(m - 1)*(m + 2)*(3*m + 2)
Let u be (-260)/78*(-12)/10. Suppose 4*y = h - 10, -h - u*h = y - 8. Determine d, given that 2*d**h - 2*d**4 - 656 + 656 = 0.
-1, 0, 1
Let g(j) be the first derivative of j**7/1575 - j**6/300 - j**5/450 + j**4/60 - 122*j**2 - 264. Let q(k) be the second derivative of g(k). Factor q(r).
2*r*(r - 3)*(r - 1)*(r + 1)/15
Let s be (-64)/(-4)*((-194)/2425)/((-16)/60). Factor s + 2/5*m**2 + 16/5*m.
2*(m + 2)*(m + 6)/5
Let g be 14*(4 + (-54)/12). Let q be (6/3)/(g + 8). Find n such that 1/3*n**3 + 0*n**q - 1/3*n**4 + 0 + 0*n = 0.
0, 1
Determine n so that 32/3 + 376/9*n - 7726/9*n**3 - 2800/9*n**4 + 32*n**5 - 1784/9*n**2 = 0.
-2, -1/4, 2/9, 12
Let 1/4*x**2 + 61/4 + 31/2*x = 0. Calculate x.
-61, -1
Let u(n) be the third derivative of -121/30*n**3 + 0*n - 1/300*n**5 - 23*n**2 + 0 - 11/60*n**4. Factor u(o).
-(o + 11)**2/5
Let f be 220 - 219 - (84/15)/(-4). What is m in 16/5 - 4/5*m**3 - 28/5*m**2 + 0*m + 4/5*m**5 + f*m**4 = 0?
-2, -1, 1
Let f(c) be the second derivative of 0 - 20/3*c**3 + 61*c + 0*c**2 - 5/12*c**4. Factor f(m).
-5*m*(m + 8)
Let w(n) be the first derivative of n**5/35 + 13*n**4/4 + 347*n**3/21 - 13*n**2/2 - 348*n/7 - 2804. Suppose w(i) = 0. Calculate i.
-87, -4, -1, 1
Let g(f) be the first derivative of f**5/35 + f**4/7 - 37*f**3/21 - 20*f**2/7 + 361. Factor g(j).
j*(j - 5)*(j + 1)*(j + 8)/7
Suppose -2302*d - d**3 - 1670*d + 4567*d - 720 + 120*d**2 + 6*d**3 = 0. What is d?
-16, -9, 1
Let q = 485 - 481. Factor 50*k**2 - 716 - q*k**3 - 8*k**2 - 256 - 6*k**2 - 108*k + 24*k**2.
-4*(k - 9)**2*(k + 3)
Let z(x) = 11*x**2 - 9*x**2 + 185 - x + 16*x**2 - 19*x**2. Let y be z(13). Find r such that 10/7*r**5 + 40/7*r**2 + 0 + 12/7*r**y - 16/7*r - 34/7*r**4 = 0.
-1, 0, 2/5, 2
Let i be ((-15)/(-9))/((-40)/(-48)). Factor -36*w**2 + 80*w**2 - 416*w + 10580 - 39*w**i - 44*w.
5*(w - 46)**2
Suppose 13*p = 4*p + 36. Factor 9*r**2 + 36*r**3 + 7*r**2 - 100*r**4 + 124*r**4 + p*r**5.
4*r**2*(r + 1)**2*(r + 4)
Let m(r) be the second derivative of -3*r**5/100 + 17*r**4/10 - 30*r**3 + 1188*r**2/5 + 3*r + 75. Suppose m(h) = 0. What is h?
6, 22
Let s = -28 + 39. Suppose -3*v + s = 2. Determine q, given that 12*q**2 + 2*q**v + 0*q**3 - 2*q + 3*q + 9*q = 0.
-5, -1, 0
Find a, given that 38*a + 2/13*a**4 + 150/13*a**2 - 62/13*a**3 + 280/13 = 0.
-1, 5, 28
Suppose 4*t - 60 = -0*i + 2*i, 0 = t - 5*i - 33. Let v be (t + -7)/((-1)/(-2)). Determine o so that 368*o**3 - 219*o**3 - v*o - 212*o**3 + 60*o**2 = 0.
0, 2/7, 2/3
Let f = 4291/111 + -15499/444. Factor -f - 1/8*h**3 - 31/8*h - 5/4*h**2.
-(h + 2)*(h + 3)*(h + 5)/8
Find s, given that -54*s**2 - 219/2*s - 55 + 1/2*s**3 = 0.
-1, 110
Let t be (-3360)/6160 - 2/55*-59. Find a such that -4/5*a**2 - t + 12/5*a = 0.
1, 2
Let -20*d**5 + 2 + 1631*d**4 - 1576*d**4 + 50*d**2 + 215*d**3 - 2 = 0. What is d?
-2, -1/4, 0, 5
Factor 4/3*g - 1/9*g**3 + 11/9*g**2 + 0.
-g*(g - 12)*(g + 1)/9
Suppose n - 6 = -3. Let q = -4683 + 32793/7. Find u, given that q*u - 2/7*u**2 + 0 - 2/7*u**n = 0.
-3, 0, 2
Let g(m) be the second derivative of -m**7/14 - 29*m**6/10 - 177*m**5/4 - 1207*m**4/4 - 820*m**3 - 1050*m**2 - 2873*m. Find s such that g(s) = 0.
-10, -7, -1
Suppose 0 = -20*n - 19 + 219. Suppose 5*u + p - n = 0, 4 = -7*u + 9*u - p. Find o, given that -2/3 + 1/3*o**u + 1/3*o = 0.
-2, 1
Suppose 0 = -194*f + 170*f + 72. Let n(q) be the third derivative of 0*q + 2/3*q**4 + 16/3*q**f + 1/30*q**5 + 0 + 11*q**2. Let n(o) = 0. What is o?
-4
Let k(w) be the first derivative of -11 - 2/135*w**5 - 7/2*w**2 + 1/27*w**4 + 0*w**3 + 0*w + 1/540*w**6. Let v(t) be the second derivative of k(t). Factor v(a).
2*a*(a - 2)**2/9
Let j(u) be the first derivative of -u**4/4 + 22*u**3/3 + 15*u**2/2 - 1800*u - 982. Let j(g) = 0. Calculate g.
-8, 15
Let p(v) be the first derivative of -v**5/5 + 61*v**4/4 - 356*v**3 + 2072*v**2 - 3136*v + 290. Factor p(w).
-(w - 28)**2*(w - 4)*(w - 1)
Let z = 163/135 + -427/540. Let g(p) be the first derivative of 1/18*p**3 + p - z*p**2 + 28. Find i, given that g(i) = 0.
2, 3
Let p(i) be the first derivative of i**5/10 - 45*i**4/8 + 7*i**3 + 22*i**2 - 8912. Factor p(f).
f*(f - 44)*(f - 2)*(f + 1)/2
Let z(f) be the third derivative of -20/21*f**4 - 8/7*f**3 + f + 4/21*f**6 - 15*f**2 - 2/105*f**7 + 19/105*f**5 + 0. Determine u so that z(u) = 0.
-1, -2/7, 1, 6
Let c(q) be the second derivative of q**5/90 - 4*q**4/27 + 19*q**3/27 - 4*q**2/3 - 3903*q. Factor c(y).
2*(y - 4)*(y - 3)*(y - 1)/9
Let n(v) be the third derivative of v**5/30 - 41*v**4/12 - 44*v**3 + 411*v**2. Factor n(c).
2*(c - 44)*(c + 3)
Let j(t) be the second derivative of t**5/140 + t**4/12 + t**3/7 - 196*t. Determine a so that j(a) = 0.
-6, -1, 0
Let p(y) = -3*y**2 - 82*y - 26. Let f be p(-27). Let h be (-4 - -9)/f - 5. Solve -2/7*o**4 - 2/7*o**3 + 2/7*o**2 + 2/7*o + h = 0.
-1, 0, 1
Let v(w) be the third derivative of -w**7/525 + 7*w**6/60 + 6*w**5/25 + 8*w**2 - 98*w. Factor v(c).
-2*c**2*(c - 36)*(c + 1)/5
Determine b so that 20/21*b**2 + 2/21*b**5 - 8/21*b**4 + 46/21*b + 20/21 - 16/21*b**3 = 0.
-1, 2, 5
Let y = -392692/1645 + 1671/7. Let n = 229/1410 - y. Factor n*p**2 + 1/6 + 1/3*p.
(p + 1)**2/6
Solve -1 - 704/3*w + 235/3*w**2 = 0.
-1/235, 3
Let z(y) be the third derivative of 250/3*y**3 + 75/2*y**4 + 0*y - 13/4*y**5 - 44*y**2 + 0 + 1/12*y**6. What is l in z(l) = 0?
-1/2, 10
Let k(t) be the third derivative of 0*t - 2*t**3 - 11/20*t**5 + 74*t**2 + 0 - 3*t**4. Let k(q) = 0. Calculate q.
-2, -2/11
Suppose -73833 = -17*q - 73697. Let i(y) be the second derivative of 2/3*y**3 - 1/2*y**4 - 1/5*y**5 - q*y + 0 + 0*y**2. Find n such that i(n) = 0.
-2, 0, 1/2
Let s(n) be the first derivative of 5/2*n**3 - 1/2*n**4 - 48*n - 3*n**2 + 3. Let b(p) be the first derivative of s(p). Factor b(o).
-3*(o - 2)*(2*o - 1)
Let x be (-2)/(-3)*(-12)/(-24)*6. Factor 60*r + 43*r**x + 33*r**3 - 3 + 39 - 15*r**2 - 29*r**3.
4*(r + 1)*(r + 3)**2
Let m(s) be the first derivative of s**6/600 + s**5/100 - 3*s**4/5 - 35*s**3/3 + s**2/2 - 115. Let j(r) be the third derivative of m(r). Solve j(c) = 0.
-6, 4
Let q(i) be the first derivative of -5*i**3 - 14*i + 57/4*i**2 - 114 + 1/8*i**4. Factor q(w).
(w - 28)*(w - 1)**2/2
Let l(y) be the first derivative of 0*y + 8/15*y**5 - 10/3*y**2 + 13/6*y**4 + 269 - 74/9*y**3. Find g such that l(g) = 0.
-5, -1/4, 0, 2
Let r(q) be the second derivative of -q**6/10 - 39*q**5/4 - 477*q**4/2 + 1666*q**3 - 3468*q**2 + q - 54. Factor r(p).
-3*(p - 2)*(p - 1)*(p + 34)**2
Let r(f) be the third derivative of f**6/40 - 3*f**5/10 - 9*f**4/2 - 20*f**3 + 78*f**2 + 2. Solve r(m) = 0 for m.
-2, 10
Let w(f) be the second derivative of -13/6*f**4 - 1/75*f**6 - 20/3*f**3 - 7/25*f**5 - 5*f + 0*f**2 + 0. Suppose w(m) = 0. Calculate m.
-5, -4, 0
Solve 141 - 565/4*k**2 - 563/4*k**3 + 1/4*k**4 + 563/4*k = 0.
-1, 1, 564
Let i be (-1 + 1)*6/12. Suppose -2*n + 0*n + 4 = i. Let -5*h**2 + 7*h**2 + 3*h + 3*h**2 + n*h = 0. Calculate h.
-1, 0
Let s = 532 - 529. Let l(p) be the second derivative of -3/5*p**2 + 16*p + 7/10*p**s - 3/20*p**4 + 0. Factor l(o).
-3*(o - 2)*(3*o - 1)/5
Solve 2405*o**2 + 0*o**3 - 80*o**3 + 2357*o**2 - 5*o**4 + 210*o - 4887*o**2 = 0 for o.
-14, -3, 0, 1
Suppose -2*p - 8 = j - 5*j, -2*j = -2*p - 8. Let f = 586668 + -586668. Solve j + f*c + 2/11*c**3 - 4/11*c**2 = 0.
0, 2
Let z(b) be the third derivative of b**6/660 + b**5/33 - 29*b**4/44 + 48*b**3/11 + 5372*b**2. Factor z(p).
2*(p - 3)**2*(p + 16)/11
Let v(l) = -2*l + l + 11*l**2 + 1 - 10*l**2. Let r be v(4). Solve -5*g**4 - g**4 - r*g**2 + 13*g**2 + 3*g**3 + 3*g**5 = 0 for g.
0, 1
Let t(u) be the second derivative of -u**4/18 - 22*u**3/9 - 19*u**2 - 3265*u. Factor t(y).
-2*(y + 3)*(y + 19)/3
Let z be (-271)/13 + 4/(-26). Let j = -21 - z. Find p, given that 8 + j - 14*p**2 + 13*p + 5*p + 6*p = 0.
-2/7, 2
Let v(l) = l**3 + 22*l**2 - 21*l + 53. Let a be v(-23). Factor -80*i - 4*i**2 - 320 - a*i**2 + 6*i**2.
-5*(