5)
Suppose -3*v = -o - 5, v - 3*o + 2*o - 1 = 0. Let m = -1201/295 + 311/59. Factor -m*l**v - 2*l + 2/5*l**4 - 4/5 + 2/5*l**3.
2*(l - 2)*(l + 1)**3/5
Let a(h) be the third derivative of h**7/210 - 7*h**6/15 + 97*h**5/10 + 775*h**4/3 - 6727*h**3/6 + h**2 + 59*h - 3. Factor a(u).
(u - 31)**2*(u - 1)*(u + 7)
Let x(j) be the first derivative of -30*j**2 + 0*j + 8/3*j**3 - 91 + j**4. Let x(i) = 0. Calculate i.
-5, 0, 3
Find j, given that -490*j**2 - 780*j + 155*j**3 + 584 + 12*j**4 - 5*j**5 + 1216 + 28*j**4 = 0.
-3, 2, 10
Let y be (32/(-200))/((-396)/3300). Factor 2 + y*r**2 + 25/3*r.
(r + 6)*(4*r + 1)/3
Let n(x) = x**2 + 7*x + 8. Let k be n(-6). Let p be (-1 - (-70)/(-7))*-28. Factor 5*s**3 - 97 - p - 181*s - 95*s**k + 676*s.
5*(s - 9)**2*(s - 1)
Suppose 120 = -11*q + 26*q. Suppose 2*p + 2*x = 14, -10*x + q*x + 8 = -p. Factor 2/9*u**p - 2/3*u - 8/9.
2*(u - 4)*(u + 1)/9
Let -218*g**3 + 611*g**3 - 1380*g**2 - 216*g**3 - 175*g**3 + 1378*g = 0. What is g?
0, 1, 689
Let y(b) = b**2 - 3180*b + 855466. Let p(t) = 2*t**2 - 9528*t + 2566397. Let z(m) = -2*p(m) + 7*y(m). Factor z(o).
3*(o - 534)**2
Let g(o) be the third derivative of o**5/60 - 11*o**4/2 - 135*o**3/2 - 44*o**2 - 12*o - 1. Factor g(q).
(q - 135)*(q + 3)
Suppose 23 = 8*u + 7. Suppose 5*t = 4*a + 8 + 14, -2*t = -u*a - 8. Factor x**4 - 47*x - t*x**3 + 55*x + x**4.
2*x*(x - 2)**2*(x + 1)
Let n = -2210 - -13265/6. Let i(l) be the first derivative of -n*l + 1/2*l**2 - 1/18*l**3 + 4. Factor i(f).
-(f - 5)*(f - 1)/6
Factor 18 - 33/2*x + 5*x**2 - 1/2*x**3.
-(x - 4)*(x - 3)**2/2
Let j = -153 - -150. Let f(v) = -v**3 + 3*v - 18. Let m be f(j). Factor -2/21*z**3 + 0*z**2 + m + 2/21*z.
-2*z*(z - 1)*(z + 1)/21
Let h be 27/(-12) - 9/(306/(-425)). Factor -1/2*z**2 - 5 - h*z.
-(z + 20)*(2*z + 1)/4
Let b = -20 + 25. Let i(a) = 5*a - 22. Let z be i(b). Let -z*j**2 - j**2 - 27*j + 31*j + 24 = 0. Calculate j.
-2, 3
Let j(f) be the second derivative of -f**4/3 + 80*f**3 - 238*f**2 + 2*f - 1310. Suppose j(x) = 0. Calculate x.
1, 119
Let c be (2 - 116)/(-1) + 5. Let g be 120 - c - 2/8. Factor -g*n**2 + 0 - 9/8*n**3 + 3/8*n.
-3*n*(n + 1)*(3*n - 1)/8
Let r(t) = -t**2 + 68*t + 8647. Let z be r(133). Factor 5/3*d**z - 10/3 - 5/3*d.
5*(d - 2)*(d + 1)/3
Let p be 0/(-6 - -2) - (-1 + -1). Suppose -3*c = -2*f, p*c = c + f - 1. Factor 8*d + 4*d**2 + 4 - 8*d**2 + 8*d**c.
4*(d + 1)**2
Let o(m) = 17*m - 28*m + 15*m**2 + 16*m. Let l(h) = h**3 - 13*h**2 - 6*h. Let z(d) = -5*l(d) - 4*o(d). Factor z(t).
-5*t*(t - 2)*(t + 1)
Let q be (3/6)/(((-28)/1168)/(-7)). Find y, given that 20*y - 48*y**3 + q*y**3 - y**2 - 50*y**3 - 49*y**3 + 20*y**2 = 0.
-1, 0, 20
Determine b so that -1229/3*b + 1510441/6 + 1/6*b**2 = 0.
1229
Let u(c) be the first derivative of -c**5/12 - 25*c**4/24 - 10*c**3/3 - c**2/2 - 59*c + 71. Let i(k) be the second derivative of u(k). Solve i(a) = 0.
-4, -1
Let l be (1 + 19)*((-15)/4 - -4). Let f be 5 + (4 + 0 - l). Find b, given that 2 - 6 + 8 + f*b**2 - 8*b = 0.
1
Let j(d) = 23*d**2 - 17*d. Let l be j(1). Let t be ((-1)/15)/(11/(220/(-8))). Factor -2*w + l + t*w**2.
(w - 6)**2/6
Suppose -152 + 62 = -5*a. Suppose -65*r + 3*n + 14 = -64*r, 2*n + a = 5*r. Factor 9/5*l**r + 0*l - 12/5 - 3/5*l**3.
-3*(l - 2)**2*(l + 1)/5
Let c = -31 + 56. Let s = -11 + c. Determine p so that -2*p - 12*p**5 + s*p**2 - 10*p**4 + 10*p**3 + 2*p + 2*p - 4*p**2 = 0.
-1, -1/2, -1/3, 0, 1
Let t(n) be the first derivative of 2*n**3/21 + 1604*n**2/7 + 1286408*n/7 - 3634. Determine z, given that t(z) = 0.
-802
Let y(x) be the first derivative of -126 + 2/35*x**5 - 12/7*x + 3/14*x**4 - 10/7*x**3 + 17/7*x**2. Determine o so that y(o) = 0.
-6, 1
Let z(r) be the second derivative of 0 + 90*r + 1/42*r**4 - 1/3*r**3 + 12/7*r**2. Factor z(d).
2*(d - 4)*(d - 3)/7
Suppose -782*o**3 + 424*o**4 + 1484*o**2 + 49*o**3 - 81*o - 563*o**3 + 108 - 625*o - 14*o**5 = 0. Calculate o.
2/7, 1, 27
Let u be 216/(-5) + (-42)/(-35). Let l be (u/9 + 3)*8/(-5). Find c, given that 2*c**5 - 8*c - l + 6*c**3 + 22/3*c**4 - 14/3*c**2 = 0.
-2, -1, -2/3, 1
Find u such that 4/5*u**4 + 0 - 108/5*u**3 + 104/5*u**2 + 0*u = 0.
0, 1, 26
Let u(k) be the first derivative of -46/21*k**3 - 20/7*k**2 - 1/2*k**4 - 8/7*k + 219. Solve u(h) = 0 for h.
-2, -1, -2/7
Let q = 216311/12168 - -1/1352. Let k(b) be the first derivative of -12*b + 22*b**2 - q*b**3 + 16/3*b**4 + 7. Factor k(h).
4*(h - 1)*(4*h - 3)**2/3
Let h(o) be the third derivative of o**6/360 + 2*o**5/45 + o**4/8 - o**3 + 2304*o**2. Factor h(c).
(c - 1)*(c + 3)*(c + 6)/3
Let c(v) be the first derivative of 600*v - 1/6*v**4 - 118/9*v**3 - 280*v**2 - 153. Find z, given that c(z) = 0.
-30, 1
Let l(x) be the first derivative of 4*x**3/3 - 42*x**2 - 288*x + 1300. Factor l(n).
4*(n - 24)*(n + 3)
Let a(y) = 20*y**2 + 148*y + 180. Let r(b) = 12*b**2 + 89*b + 109. Let t(q) = -7*a(q) + 12*r(q). Find o, given that t(o) = 0.
-6, -2
Let n = 301382/208647 - 1/69549. Factor n*j**4 - 1/9*j + 0 - 4/9*j**5 - 5/3*j**3 + 7/9*j**2.
-j*(j - 1)**3*(4*j - 1)/9
Let h(c) be the second derivative of 0*c**2 + 0*c**3 + 48*c + 1/110*c**5 + 2 - 4/33*c**4. Factor h(w).
2*w**2*(w - 8)/11
Let b = 44 + -42. Let m(u) = u. Let a be m(b). Let -738*g - g**a + 738*g = 0. What is g?
0
Let p be (-65780)/(-1840)*3/33. Solve -11/4 + 23/4*d + 1/4*d**3 - p*d**2 = 0 for d.
1, 11
Let u(q) be the second derivative of -71*q + 1/18*q**4 + 2 + 1/60*q**5 - 1/18*q**3 - 1/3*q**2. Factor u(c).
(c - 1)*(c + 1)*(c + 2)/3
Let i = -763847/5 + 152779. Factor 3/5*u**4 + 153/5*u**2 - 57/5*u**3 - 147/5*u + i.
3*(u - 16)*(u - 1)**3/5
Let v be 86/12556*(-20)/(-1). Let t = v - -199/146. Suppose -t*i - 6*i**2 + 3 + 9/2*i**3 = 0. What is i?
-2/3, 1
Let n = 99124/27237 + -820/3891. What is h in -4/7*h**2 - n*h - 36/7 = 0?
-3
Let z(l) be the second derivative of -2 - 5/12*l**3 + l**2 + 1/80*l**5 - 102*l + 1/48*l**4. Factor z(k).
(k - 2)*(k - 1)*(k + 4)/4
Let j be ((-5)/3)/(3/(-9)). Suppose 2*r - 3*r - q = -8, -32 = -3*r - j*q. Factor -17*v**4 + r*v**3 + 9*v**4 + 6*v**4 - 2*v**2.
-2*v**2*(v - 1)**2
Let x = -50929 + 50931. Factor 2/7*t**3 + 0 + x*t**2 + 20/7*t.
2*t*(t + 2)*(t + 5)/7
Factor -37 + 13 + 140*m + 193 + 2*m**2 + 31 + 202.
2*(m + 3)*(m + 67)
Let q be 2184/10 + 39/65. Suppose 221*o - q*o = 0. What is m in -2/5*m**4 + o*m + 0 + 2/5*m**2 + 1/5*m**5 - 1/5*m**3 = 0?
-1, 0, 1, 2
Suppose -12 - 30 = -7*l. Suppose 7*d + l*d = 65. Determine c, given that -12*c**4 - 12*c**2 + 4*c**d + 19*c**2 - 7*c**2 + 8*c**3 = 0.
0, 1, 2
Let h be 175/(-1764) - (-10)/(-105). Let z = 265/252 + h. Find f such that z*f**5 + 0 - 16/7*f**4 - 2/7*f + 0*f**2 + 12/7*f**3 = 0.
-1/3, 0, 1
Let f(i) = -2*i**3 + 13*i**2 + 2*i - 10. Let b be f(6). Suppose 0 = -16*n + 17*n - 2. Factor -42*d - 3*d**2 - b*d - 2*d**n - 320.
-5*(d + 8)**2
Let p = -4 + 8. Let v(u) = -184*u + 47*u**4 + 211*u - 41*u**4 - 6*u**3 + 27. Let n(j) = j**4 - j**3 + 4*j + 4. Let t(g) = p*v(g) - 27*n(g). Factor t(h).
-3*h**3*(h - 1)
Suppose 0 = -4*b - 20, -2*c - 9 - 16 = 5*b. Suppose -10 - 8 = -4*m + 2*z, 3*m + z - 16 = c. Factor -5/4*q**m + 0 - 5/4*q**4 + 0*q + 5/4*q**2 + 5/4*q**3.
-5*q**2*(q - 1)*(q + 1)**2/4
Let a(m) be the first derivative of -m**5/15 + 4*m**4/3 - 46*m**3/9 - 24*m**2 - 27*m + 744. Determine d so that a(d) = 0.
-1, 9
Let r be (6468/9261)/(2/(-7))*(-9)/33. Factor -4/3*f + 0 + r*f**2.
2*f*(f - 2)/3
Let u = -428909/4 + 107256. Solve -15/4*y**3 - 15 + 5/4*y**4 - 45/4*y**2 + u*y = 0 for y.
-3, 1, 4
Suppose -224 = -7*k - k. Solve 3*y**2 - 9*y + k*y**3 - 9*y**2 - 11*y**3 - 14*y**3 = 0.
-1, 0, 3
Let i = 13431212/10407 - -252/3469. Suppose -178/3*n**2 - 4048/3*n - 2/3*n**3 - i = 0. What is n?
-44, -1
Let h = -3532 - -3535. Let o(r) be the second derivative of 0 + 2*r + 0*r**h + 4/7*r**2 - 1/42*r**4. Factor o(y).
-2*(y - 2)*(y + 2)/7
Let a(g) = 3*g**3 + 3 + 0*g**3 - 4*g**3 - 4. Let j(w) = w**4 - w**3 - 3*w**2 + 2*w - 1. Let b = 226 - 225. Let d(m) = b*a(m) - j(m). Factor d(f).
-f*(f - 1)**2*(f + 2)
Let p be ((-3)/(-30))/((-4557)/437532). Let c = -2/1519 - p. Find h, given that c*h + 4/5*h**2 + 144/5 = 0.
-6
Let -442/5*h**2 + 266/3*h - 4/15 = 0. What is h?
2/663, 1
Let d(f) be the second derivative of 0*f**2 + 1 + 0*f**3 + 7/5*f**5 - 19*f - 2/15*f**4. Suppose d(a) = 0. Calculate a.
0, 2/35
Let n(c) = -11*c**2 - 3018*c - 1207467. Let r(u) = u**2 - 10*u + 1. Let 