1)*(f + 1)/8
Let i = -348288 + 348324. Factor 102*v - 111*v**2 - 15*v**4 + 117/2*v**3 + 3/2*v**5 - i.
3*(v - 3)*(v - 2)**3*(v - 1)/2
Let l(s) = 2*s**4 + 4*s**3 - 13*s**2 - 68*s - 46. Let h(g) = 4*g**3 - g**2 - 2. Let b(w) = 2*h(w) + 2*l(w). Solve b(y) = 0.
-4, -2, -1, 3
Let x(g) = 13*g**3 + 18*g**2 + 35*g. Let z(v) = -56*v**3 - 71*v**2 - 139*v. Let o(u) = 52*x(u) + 12*z(u). Solve o(y) = 0.
-19, -2, 0
Let v(x) be the first derivative of -5*x**4/12 - 17*x**3/3 + 7*x**2/2 + 199*x + 278. Let c(i) be the first derivative of v(i). Factor c(m).
-(m + 7)*(5*m - 1)
Let x(z) = -2*z**5 + 170*z**4 - 704*z**3 + 660*z**2 - 12*z - 24. Let s(k) = -k**4 - 3*k**2 - k - 2. Let w(o) = -12*s(o) + x(o). Suppose w(j) = 0. Calculate j.
0, 2, 87
Suppose 0 - 1/4*b**2 - 239*b = 0. What is b?
-956, 0
Let k(r) be the first derivative of -r**7/4620 + r**6/198 + 7*r**3 + 40. Let i(p) be the third derivative of k(p). Factor i(a).
-2*a**2*(a - 10)/11
Let y(v) = v**2 - 2*v + 1. Let t be y(1). Suppose 4*n - 2*z = -6, 4*z - 69 = 2*n - 57. Factor 0*x**3 + n*x + 1/2*x**4 - 1/2*x**2 + t.
x**2*(x - 1)*(x + 1)/2
Determine m, given that 8/5*m**2 - 1/5*m**4 + 0 + 12/5*m - 1/5*m**3 = 0.
-2, 0, 3
Let l(i) be the third derivative of i**7/2205 - i**6/63 - 8*i**5/105 + 20*i**4/63 + 176*i**3/63 - 2144*i**2. Find q such that l(q) = 0.
-2, 2, 22
Factor -73*f**4 + 78*f**4 - 806*f**2 - 45*f - 35*f**3 + 881*f**2.
5*f*(f - 3)**2*(f - 1)
Let f(g) = 4*g**2 - 3*g + 1. Let h(v) = -142*v**2 + 302*v + 40. Let c(u) = -4*f(u) - h(u). Find d such that c(d) = 0.
-1/7, 22/9
Let q(b) be the first derivative of -b**5/60 - 3*b**4/16 + 63*b**2/2 + b - 229. Let a(x) be the second derivative of q(x). Suppose a(m) = 0. What is m?
-9/2, 0
Factor -3*u - 5*u + 9 + 3 + 5*u - 3*u**2 - 6*u.
-3*(u - 1)*(u + 4)
Factor 6300*m**2 + 16/7 + 240*m.
4*(105*m + 2)**2/7
Let p(v) = -5 + 3*v**3 - 7*v - 27*v**2 - 2*v**3 + 27*v**2 + 2. Let u be p(3). Factor -3/2*i**2 + 3/8*i**u + 0 - 3/2*i + 3/8*i**4.
3*i*(i - 2)*(i + 1)*(i + 2)/8
What is d in 14*d - 3*d**3 - 17*d**2 + 60*d**2 + 194*d**2 - 248*d = 0?
0, 1, 78
Let j be (15 - (-28)/(-3)) + -1*(-5)/(-3). Factor 39/5*l**2 - 36/5*l + 12/5 + 3/5*l**j - 18/5*l**3.
3*(l - 2)**2*(l - 1)**2/5
Let s(r) be the third derivative of -r**5/15 + 58*r**4/3 + 1255*r**2. Let s(b) = 0. Calculate b.
0, 116
Let h(r) = r**2 - r - 9. Let l(p) = -p**2 + 2*p + 10. Let c(w) = 6*h(w) + 5*l(w). Let d(n) = 4*n**2 + 11*n - 11. Let s(x) = -11*c(x) + 4*d(x). Factor s(v).
5*v**2
Factor 109/5*k + 543/10*k**2 + 0 - 1/2*k**3.
-k*(k - 109)*(5*k + 2)/10
Let f be 5/(1036/112 + -8). Let x be 66/27 + 2*-1. Factor 4/9*t**3 + 2/9*t**f + 0 - x*t - 2/9*t**2.
2*t*(t - 1)*(t + 1)*(t + 2)/9
Let n(q) be the first derivative of 5*q**3/12 - 75*q**2/4 + 1125*q/4 + 2550. Factor n(d).
5*(d - 15)**2/4
Let n(i) be the first derivative of 22/3*i - 86 - 2/9*i**3 - 10/3*i**2. Factor n(y).
-2*(y - 1)*(y + 11)/3
Let p = 31301 + -31301. Let j(n) be the third derivative of p*n + 0 + 1/3*n**4 + 0*n**3 - 3/5*n**5 + 34*n**2. Suppose j(f) = 0. What is f?
0, 2/9
Let c be (1044/42)/(4/84). Let -2*p - c*p**5 + 2*p + 432*p**4 - 968*p**2 - 2244*p**3 + 502*p**5 = 0. Calculate p.
-2/5, 0, 11
Let p = 1308085 + -1308083. Find z such that -21/2*z**p + 57/2*z + 9 = 0.
-2/7, 3
Let k(x) be the third derivative of -x**5/180 + 4*x**4/9 + 38*x**3/3 + 1945*x**2. Factor k(f).
-(f - 38)*(f + 6)/3
Let h(g) be the first derivative of -152 + 15/8*g**4 + 0*g + 43/8*g**3 - 3/40*g**5 + 33/8*g**2. Factor h(w).
-3*w*(w - 22)*(w + 1)**2/8
Let u(j) = 2*j**2 + 33*j + 74. Let i be u(-14). Suppose 1 = -y - 3, -3*y = i*c + 4. Solve 0 - 18/11*w**c - 2/11*w**4 - 12/11*w**3 + 0*w = 0.
-3, 0
Let z = -1710 - -1821. Suppose 0 = -126*f + 267 + z. Determine l, given that 0 + 314/7*l**f + 264/7*l**2 + 72/7*l + 132/7*l**4 + 18/7*l**5 = 0.
-3, -2/3, 0
Suppose 2*x + 2*v - 8 = 0, 0*v = -5*x + 2*v + 20. Find f, given that 5282*f**2 + 8*f**3 - 15*f**x + 32*f - 5234*f**2 - 4*f**5 + 3*f**4 = 0.
-2, -1, 0, 2
Let j(b) be the third derivative of -b**5/150 + 847*b**4/30 - 717409*b**3/15 - 2*b**2 + 601*b. Factor j(q).
-2*(q - 847)**2/5
Let y(x) be the third derivative of 0*x**3 + 0*x - 159*x**2 + 1/120*x**6 + 1/12*x**4 - 3/40*x**5 + 0. Factor y(c).
c*(c - 4)*(2*c - 1)/2
Let n be (3/9)/(13208/936 - (-2 - -16)). Factor 2/9*b**n + 4/9 + 8/9*b**2 + 10/9*b.
2*(b + 1)**2*(b + 2)/9
Let q(v) be the first derivative of 115 - 3*v**2 + 1/3*v**3 + 9*v. Factor q(x).
(x - 3)**2
Find p such that 2/9*p**2 + 518/9*p - 116 = 0.
-261, 2
Suppose -5*k = k + 6. Let u(x) = -9*x**2 - 157*x - 1444. Let l(b) = b**2 + b. Let z(y) = k*u(y) - 5*l(y). Factor z(c).
4*(c + 19)**2
Let c be (-1)/23*(-9)/(-1692)*-4. Let n = 8639/9729 + c. Find l, given that -4/3*l**3 + n + 26/9*l**2 - 8/3*l + 2/9*l**4 = 0.
1, 2
Let q(u) be the first derivative of -7*u**6/27 + 82*u**5/9 - 152*u**4/3 - 4664*u**3/27 + 736*u**2/9 - 276. Let q(k) = 0. Calculate k.
-2, 0, 2/7, 8, 23
Let a(s) be the second derivative of 0*s**3 - 11/9*s**4 + 1/5*s**5 + 0*s**2 - 32*s + 0. Factor a(b).
4*b**2*(3*b - 11)/3
Let u = 3001 - 978. Let o be (-6)/(-51) - (-3230)/u. Factor 12/7*p**2 + 0 + 4/7*p + o*p**3 + 4/7*p**4.
4*p*(p + 1)**3/7
Suppose 57*p = -2244*p + 4602. Let -12/11*j + 16/11*j**p + 12/11*j**3 + 2/11*j**4 - 18/11 = 0. What is j?
-3, -1, 1
Let z be (-319)/(-348) - 2/12. Let q be 77/14*(-2)/(-4). Solve z*h**5 - q*h**3 + 1 - 3/4*h**2 + 2*h - 1/4*h**4 = 0 for h.
-1, -2/3, 1, 2
Let o(f) be the third derivative of f**5/60 + 67*f**4/24 - 23*f**3 + 3*f**2 + 130*f. Factor o(r).
(r - 2)*(r + 69)
Let c(k) = -386*k**2 + 55*k**3 - 31*k + 0 + 411*k**2 - 6. Let u(o) = -o**3 + o**2 + o. Let a(q) = -c(q) - 5*u(q). Factor a(x).
-2*(x + 1)*(5*x - 3)*(5*x + 1)
Let q = 293038 - 3223416/11. Factor 4/11*u**2 + q*u**5 + 0*u**3 + 0 - 2/11*u - 4/11*u**4.
2*u*(u - 1)**3*(u + 1)/11
Let t(x) = 11 + 6*x - 10*x - 8*x + x**2. Let c(n) = -n + 1. Suppose 0 = q - 4*k - 6, q - k + 6*k = -12. Let v(o) = q*t(o) + 22*c(o). Factor v(l).
-2*l*(l - 1)
Let v(y) be the third derivative of -4*y**7/1365 - 139*y**6/52 - 273001*y**5/390 - 2170*y**4 - 5200*y**3/3 + 1722*y**2. Determine j, given that v(j) = 0.
-260, -1, -1/4
Let p(h) be the first derivative of -3*h**4/4 + 152*h**3/5 - 18*h**2 + 485. Solve p(n) = 0 for n.
0, 2/5, 30
Let k(g) be the first derivative of 0*g - 4*g**6 - 1 - 51/8*g**4 - 12*g**5 + 0*g**2 - g**3. Factor k(c).
-3*c**2*(c + 2)*(4*c + 1)**2/2
Factor -4131*h + 8 + 2062*h + 8*h**3 + 2057*h - 12*h**2.
4*(h - 2)*(h + 1)*(2*h - 1)
Let p be (4/(-7))/((-3)/21). Solve -12*b**3 + 23*b**p + 0*b**3 - 7*b**5 + 378*b**2 - 8*b**3 - 374*b**2 = 0.
0, 2/7, 1, 2
Let q be 13/(-52)*1/(-2 - -136). Let z = 1065/3752 - q. Solve 4/7*c + 0 + 2/7*c**2 - z*c**3 = 0.
-1, 0, 2
Let c = 364 - 362. Let n be 46/138 + (0/c)/3. Factor -5/3*h - 2/3 + n*h**5 + 4/3*h**3 + 4/3*h**4 - 2/3*h**2.
(h - 1)*(h + 1)**3*(h + 2)/3
Let l be (2 - 4 - 4)/(-2). Suppose -l*g - g = 5*p - 2, -5*g = -4*p + 18. Factor 40 - 5*q**3 + 30*q**p - 6*q**3 - 60*q + 6*q**3.
-5*(q - 2)**3
Let g(k) be the second derivative of -529*k**4/72 + 23*k**3/3 - 3*k**2 + 4464*k. What is n in g(n) = 0?
6/23
Let m(d) = 7*d**3 + d - 1. Let f(p) = -57*p**3 + 64*p**2 + 1163*p + 1114. Let x(w) = -5*f(w) - 40*m(w). Factor x(i).
5*(i - 79)*(i + 1)*(i + 14)
Let v(x) = -5*x**2 + 262*x + 189. Let w be v(53). Suppose 14 = -3*g + 5*g. Determine i so that -w*i - 4*i**2 + g*i + 9*i + 6*i = 0.
-2, 0
Factor 180067/2*r**3 - 733/2*r**4 + 29052108*r + 1/2*r**5 - 15060411/2*r**2 - 28697814.
(r - 243)**3*(r - 2)**2/2
Let q(x) = 4*x + 28. Let v be q(-5). Suppose 56*l + 972*l**2 - 8 - 968*l**2 + v = 0. What is l?
-14, 0
Let p(d) be the third derivative of -d**7/42 + 7*d**6/8 - 31*d**5/3 + 115*d**4/2 - 520*d**3/3 - 7*d**2 + 46. Factor p(t).
-5*(t - 13)*(t - 4)*(t - 2)**2
Factor 96 - 49*o - 22*o - 194*o**2 - 30*o**3 - o + 4*o.
-2*(o + 1)*(o + 6)*(15*o - 8)
Let f(h) be the first derivative of 5*h**7/147 - 11*h**6/105 + h**5/10 - h**4/42 + 50*h + 27. Let m(q) be the first derivative of f(q). Factor m(k).
2*k**2*(k - 1)**2*(5*k - 1)/7
Suppose -f = -x - 2, 9*x + 5*f = 11*x + 19. Let n(w) be the first derivative of 0*w + 0*w**2 - 4/21*w**3 - x. Suppose n(b) = 0. What is b?
0
Let o(m) = -4*m**3 + 7*m**2 + 48*m + 64. Let q(p) = 5*p**3 - 6*p**2 - 48*p - 64. Let b = -31 + 51. Let w = b - 25. Let s(u) 