**2.
-4*k*(k + 1)
Let o(n) = -6*n**4 - 20*n**3 - 13*n**2. Let t(w) = 3*w**4 + 10*w**3 + 6*w**2. Suppose -28*c + 22*c = -18. Let j(f) = c*o(f) + 7*t(f). Factor j(g).
g**2*(g + 3)*(3*g + 1)
Let v(y) be the first derivative of y**5/180 + y**4/8 - 2*y**3 - 11*y**2/2 - 9*y - 45. Let a(k) be the second derivative of v(k). Let a(u) = 0. Calculate u.
-12, 3
Factor g**2 + 324*g + 103*g - 119*g - 8*g + 0*g**2.
g*(g + 300)
Let q(b) be the first derivative of 3*b**4/4 - 49*b**3 - 573*b**2 - 1680*b - 4666. Solve q(g) = 0.
-5, -2, 56
Suppose 0 = 5*h - 6*h + 2. Suppose 2*n + y = 4, 2*n - 5*y + h = 3*n. Factor -7*x**2 - n*x**2 - 1400 + 84*x + 1373.
-3*(x - 9)*(3*x - 1)
Suppose -68*b + 28*b = -400. Suppose -29*u - b*u = -195. Factor 8/5*n**2 - 2/5*n**u + 0 - 2/5*n + 8/5*n**4 - 12/5*n**3.
-2*n*(n - 1)**4/5
Let o(u) be the second derivative of -u**5/240 - 5*u**4/96 + u**3 + 249*u**2/2 - 2*u + 65. Let q(v) be the first derivative of o(v). Factor q(g).
-(g - 3)*(g + 8)/4
Let v be -4 - 3 - (1 + (4 - 3)). Let i(j) = -25*j**2 + 91*j - 33. Let d(u) = -6*u**2 + 23*u - 8. Let f(w) = v*d(w) + 2*i(w). Determine r so that f(r) = 0.
1/4, 6
Let d(l) = 2*l**2 - 25*l - 11. Let a be d(13). Let s(c) be the first derivative of 11/6*c**3 + 1/2*c**4 + 3*c**a - 17 + 9/4*c + 1/20*c**5. Factor s(w).
(w + 1)**2*(w + 3)**2/4
Factor -449*r - 3*r**5 + 19*r + 37*r + 4*r**5 + 640*r**2 - 10*r**4 - 631*r - 48*r**3.
r*(r - 8)**2*(r - 2)*(r + 8)
Let r be 38/14 + -3 - (-5211)/567. Let x = -25/3 + r. Factor 4/7*f**5 + 0*f + 0 + x*f**2 - 4/7*f**4 - 4/7*f**3.
4*f**2*(f - 1)**2*(f + 1)/7
Let a = -9858 + 9863. Let y(j) be the first derivative of 8 + 0*j - 238/15*j**a - 139/6*j**4 - 32/9*j**3 + 4/3*j**2. Suppose y(k) = 0. What is k?
-1, -2/7, 0, 2/17
Let n(d) = 3*d**2 - 54*d + 2. Let j = 1105 - 1087. Let b be n(j). Find c, given that -1/5*c**3 + 2/5*c**b + 0 + 3/5*c = 0.
-1, 0, 3
Solve 349496 + 2/7*t**2 + 632*t = 0 for t.
-1106
Let l(v) = -2*v**3 - 192*v**2 - 190*v - 10. Let y(w) = w**3 + 96*w**2 + 95*w + 4. Let a(f) = -6*l(f) - 15*y(f). Factor a(c).
-3*c*(c + 1)*(c + 95)
Let o(z) be the first derivative of -z**6/450 - 11*z**5/150 - 3*z**4/5 + 8*z**3/3 - 58. Let i(h) be the third derivative of o(h). Factor i(q).
-4*(q + 2)*(q + 9)/5
Let k(u) be the first derivative of 0*u + 0*u**2 + 64/3*u**3 - 41 + u**4. Factor k(i).
4*i**2*(i + 16)
Solve -388/5*s**2 + 136/5*s**3 - 264/5*s - 2*s**4 + 54 = 0 for s.
-1, 3/5, 5, 9
Let j(w) be the second derivative of -3*w**6/10 + 15*w**5/2 - 199*w**4/4 - 36*w**3 + w - 1. What is i in j(i) = 0?
-1/3, 0, 8, 9
Suppose 0 = -120*x - 53*x + 57*x + 696. Suppose -3*k + 0 + 3/4*k**4 + x*k**2 - 15/4*k**3 = 0. Calculate k.
0, 1, 2
Suppose 246 = 8*l + 14. Let w = l + 106. Determine t, given that 13*t**2 - 5*t**2 + 37*t**2 - 5*t**3 - 135*t + w = 0.
3
Let m = -91208 - -273629/3. Suppose 2*r - 2*r**3 + m - 1/3*r**4 - 4/3*r**2 = 0. Calculate r.
-5, -1, 1
Let l(w) be the third derivative of w**6/720 - 17*w**5/72 - 59*w**4/48 + 29*w**3/4 - 2315*w**2. What is y in l(y) = 0?
-3, 1, 87
Let b(w) be the third derivative of 5*w**6/8 - 17*w**5/12 + 5*w**4/12 + 4*w**2 + 7*w - 14. Factor b(l).
5*l*(l - 1)*(15*l - 2)
Let t(v) be the first derivative of v**6/160 + 19*v**5/40 + 361*v**4/32 + 31*v**2/2 - v - 126. Let c(i) be the second derivative of t(i). Factor c(o).
3*o*(o + 19)**2/4
Let s = 246 - 232. Factor 3*u**2 - 16 + s - 43 + 6*u.
3*(u - 3)*(u + 5)
Let p = -240 - -243. Let -3*l**2 + 3*l + l - l**2 + 2*l**p - l**3 = 0. Calculate l.
0, 2
Suppose 0 = 2678*z - 2666*z - 24. Let m(f) be the first derivative of 0*f + 1/14*f**z - 1/21*f**3 - 11. Find i such that m(i) = 0.
0, 1
Suppose 29 = 7*i - 48. Suppose i*k - k - 50 = 0. Find n, given that -75*n**k - 99*n**2 + 12*n**5 - 216*n**3 + 255*n**4 - 69*n**2 + 144*n + 48 = 0.
-2/3, -2/7, 1, 2
Suppose 2*k + 5*f - 3474 + 3524 = 0, -4*f = -4*k + 40. Factor 14/5*z**3 + k + 2/5*z**4 + 0*z + 4*z**2.
2*z**2*(z + 2)*(z + 5)/5
Factor 100*q - 298*q + q**2 + 3*q**2 - 571 + 123 - 18*q.
4*(q - 56)*(q + 2)
Let y(m) = -19*m**2 + 2563*m + 30. Let f(k) = -25*k**2 + 3418*k + 39. Let p(a) = 10*f(a) - 13*y(a). Suppose p(q) = 0. Calculate q.
0, 287
Let y(j) = -j**2 - 47*j + 48. Let o(i) = i**2 + 23*i - 12. Let k(p) = 5*o(p) + 2*y(p). Factor k(d).
3*(d + 3)*(d + 4)
Let v(i) = -3*i**2 - 61*i - 7. Let n(q) = 5*q - 27. Let a be n(5). Let u(o) = -o**2 - 20*o - 2. Let y(d) = a*v(d) + 7*u(d). Factor y(h).
-h*(h + 18)
Let j = -668 + 867. Let z = -195 + j. Let -1/6*m**z - 2/3*m**3 - m**2 - 2/3*m - 1/6 = 0. What is m?
-1
Let a(y) = -20*y - 9. Let o be a(-2). Let k = o - 28. Factor 6*l**4 + 5*l**5 - 16*l**3 - k*l**5 + 20*l**3.
2*l**3*(l + 1)*(l + 2)
Determine x, given that -12960*x + 41472 - 567/2*x**2 - 3/2*x**3 = 0.
-96, 3
Let s(a) be the first derivative of -a**6/1620 + a**5/270 + a**4/36 - 124*a**3/3 - 54. Let k(b) be the third derivative of s(b). Let k(v) = 0. What is v?
-1, 3
Let h(b) be the third derivative of b**6/260 + 8*b**5/195 + b**4/12 + 1032*b**2. Determine x, given that h(x) = 0.
-13/3, -1, 0
Suppose -30*g + 203 - 77 = 33*g. Factor -4/5*y**g - 320 + 32*y.
-4*(y - 20)**2/5
Let d be (-58184)/(-130914) + (14/(-9))/(-1). Suppose 9*q + 1/5*q**d + 0 = 0. Calculate q.
-45, 0
Let q(a) be the first derivative of a**5/5 - 13*a**4/4 + 14*a**3 + 797. Factor q(z).
z**2*(z - 7)*(z - 6)
Let q(j) = j**2 - 9*j + 11. Let m be q(7). Let t be 64/96*m/(-7). Let -2/7*w**3 + t*w + 1/7*w**4 + 3/7 - 4/7*w**2 = 0. Calculate w.
-1, 1, 3
Let k = 4913/9822 + -1/4911. Let g(x) be the second derivative of -3/20*x**5 + 0*x**4 + k*x**3 + 0 + 0*x**2 - 15*x. Factor g(f).
-3*f*(f - 1)*(f + 1)
Let -588*p + 370*p**2 - 2*p**3 + 585*p - 2676*p + 16758 - 2207*p = 0. Calculate p.
7, 171
Suppose -5*z - 4*q + 19 = -7*q, -q = 4*z - 5. Suppose 0 = a + z*u + 6, -u = -4 + 7. Factor -2/11*f**3 + 2/11*f + a*f**2 + 0.
-2*f*(f - 1)*(f + 1)/11
Let a(h) = h**2 - 6*h - 4. Let x be a(8). Suppose 2 = 2*u, -2*r - 2*u + x = 2*u. Let -174*i**2 - i**4 + 2*i**r + 174*i**2 + i**3 = 0. What is i?
-1, 0
Let r(a) be the second derivative of 100/69*a**3 + 0 - 17/2*a**2 - 30*a - 5/69*a**4 + 1/690*a**5. Let u(i) be the first derivative of r(i). Factor u(l).
2*(l - 10)**2/23
Let u(s) be the first derivative of -126 + 29/5*s**2 + 2/15*s**3 + 56/5*s. What is o in u(o) = 0?
-28, -1
Let y(s) be the third derivative of -s**8/1176 + s**7/49 - 37*s**6/210 + 22*s**5/35 - 6*s**4/7 + 231*s**2 - 2*s - 5. Let y(g) = 0. Calculate g.
0, 1, 2, 6
Factor -1/5*w**2 - 244/5 + 49*w.
-(w - 244)*(w - 1)/5
Let j(n) be the third derivative of n**2 - 133/450*n**5 - 2/315*n**8 - 88/1575*n**7 - 169/900*n**6 - 4/45*n**3 + 0*n - 2/9*n**4 + 59. Let j(d) = 0. Calculate d.
-2, -1, -1/4
Let h(l) = 5*l**3 - 96*l**2 + 17*l + 43. Let f be h(19). Solve -128*g + 16 - 100*g**f + 307*g**4 + 388*g**2 - 107*g**4 + 180*g**4 - 260*g**3 - 296*g**3 = 0.
2/5, 1
Let l(s) = 3*s + 45. Let h be l(-12). Determine v so that 165*v + 77 - 14 + 94*v + h + 66*v**4 - 91*v - 10*v**5 - 82*v**2 - 102*v**3 = 0.
-1, -2/5, 2, 3
Let c = 601274 + -601272. Factor 0 - 32/3*f - 8/3*f**c + 8/3*f**4 + 21/2*f**3 + 1/6*f**5.
f*(f - 1)*(f + 1)*(f + 8)**2/6
Let m(n) be the second derivative of -49*n + 0*n**3 + 1/2*n**5 + 0 + 0*n**2 + 0*n**4 - 1/6*n**6. Find i such that m(i) = 0.
0, 2
Factor 16/3*b + 14/3*b**2 - 224/3 - 1/3*b**3.
-(b - 14)*(b - 4)*(b + 4)/3
Solve 5/2*j**2 + 340 + 125/2*j = 0.
-17, -8
Let i(n) = n**5 + n**4 - n**2 - 2*n - 2. Let r(c) = 119*c**5 - 1509*c**4 - 849*c**3 - 115*c**2 + 4*c + 4. Let f(x) = -6*i(x) - 3*r(x). Factor f(u).
-3*u**2*(u - 13)*(11*u + 3)**2
Let v(r) be the third derivative of -r**6/720 - 19*r**5 - 108300*r**4 - 329232000*r**3 - 34*r**2 + 50. Factor v(w).
-(w + 2280)**3/6
Let i = -180035/12 + 15003. Let n(c) be the first derivative of 0*c - i*c**3 - 3/8*c**2 + 27. Factor n(m).
-m*(m + 3)/4
Let o = -201 - -203. Factor 2*j**2 - 3*j**3 - o*j**4 - 7*j**3 + 50 + 16*j - 42 + 2*j**5.
2*(j - 2)**2*(j + 1)**3
Let s(o) = -7635*o - 137428. Let d be s(-18). Solve 8/5*u**d + 24/5*u + 0 - 2/5*u**3 = 0 for u.
-2, 0, 6
Let q(d) be the second derivative of -1/48*d**4 + 0 - 7/24*d**3 + 137*d - 3/2*d**2. Determine g, given that q(g) = 0.
-4, -3
Let z(t) = -62*t - 7251. Let p be z(-117). What is n in -3/5*n**p + 0*n**4 + 0 + 0*n + 1/5*n**5 + 2/5*n**2 = 0?
-2, 0, 1
Let k = -4971 + 49669/10. Let p