iven that -2/11*f + 6/11*f**2 + c*f**3 - 6/11 = 0.
-3, -1, 1
Let j(f) be the third derivative of -f**8/84 - 16*f**7/105 - 2*f**6/5 + 2*f**5/15 + 13*f**4/6 + 4*f**3 - 1346*f**2 + f + 1. Factor j(u).
-4*(u - 1)*(u + 1)**3*(u + 6)
Let w = -222959 - -222961. Solve 4*u**5 + 0*u + 0 + 3*u**w + 46*u**4 - 95/4*u**3 = 0.
-12, 0, 1/4
Suppose 0 = -307*a + 309*a - 3*b + 32, -5*a - 14 = -2*b. Let o be (-1)/(-3)*24/14. Factor 4/7*x**3 + 2/7*x**4 + 6/7 - 8/7*x**a - o*x.
2*(x - 1)**2*(x + 1)*(x + 3)/7
Let c = 57 + -52. Suppose -c - 3 = -2*z. Factor -2*t**2 + t**3 + z*t**4 - 5*t**4 + 5*t**2 + t**3.
-t**2*(t - 3)*(t + 1)
Suppose 314/9*a**2 - 26/9*a**4 + 2/9*a**5 + 0*a - 2/9*a**3 - 32 = 0. Calculate a.
-3, -1, 1, 4, 12
Let u = 1695 - 1692. Let x(s) be the second derivative of -3/8*s**u + 1/16*s**4 + 0*s**2 + 0 + 5*s. Factor x(b).
3*b*(b - 3)/4
Let k(d) be the first derivative of d**4/12 - 2660*d**3/9 + 5317*d**2/6 - 886*d - 11957. Factor k(x).
(x - 2658)*(x - 1)**2/3
Let z(a) be the third derivative of -a**7/70 + 7*a**5/20 - 3*a**4/4 + 37*a**2 + 2. Solve z(i) = 0 for i.
-3, 0, 1, 2
Let x = -1763 + 1743. Let d be x/(-8) + (175/(-14))/5. Factor d*q + 5/4 - 5/4*q**2.
-5*(q - 1)*(q + 1)/4
Let w be 15/126*(-1140)/(-475). Factor 0 + w*j**2 - 16/7*j.
2*j*(j - 8)/7
Suppose 10*z - 12*z = -8. Find u such that z*u**3 + 5*u**5 - 17*u - u**5 + 12*u**2 - 12*u**4 + 10*u - u = 0.
-1, 0, 1, 2
Let b(a) be the third derivative of -a**6/40 + 29*a**5/36 - 67*a**4/36 - 40*a**3/3 + 6313*a**2. Factor b(m).
-(m - 15)*(m - 2)*(9*m + 8)/3
Let x(s) be the third derivative of s**5/90 - 31*s**4/3 - 2*s**2 - 286*s. Determine y, given that x(y) = 0.
0, 372
Let g(m) be the second derivative of 43 + 0*m**3 - 34/5*m**5 + 0*m**2 - m - 1/15*m**6 - 578/3*m**4. Factor g(w).
-2*w**2*(w + 34)**2
Let q = -778417/3 + 259473. Factor 0*o + q*o**2 - 2/3.
2*(o - 1)*(o + 1)/3
Suppose -47530 = -28*f - 47390. Determine q, given that 0 + 1/5*q**f + 9/5*q**3 + 7/5*q**2 + 2/5*q + q**4 = 0.
-2, -1, 0
Solve 872*o**5 + 90*o**4 - 313*o + 272*o**3 - 867*o**5 - 807*o**3 - 147*o + 900*o**2 = 0 for o.
-23, 0, 1, 2
Let v be 6 - (-4)/(-10)*85/(-34). Determine w so that 15*w**2 - v*w**4 + 5*w**4 - 6 + 6 + 10*w**3 - 3*w**4 = 0.
-1, 0, 3
Factor 2049*w**3 + 8*w + 0*w + 428*w**2 - 5097*w**3 + 2392*w**3 + 220*w**4.
4*w*(w - 2)*(w - 1)*(55*w + 1)
Let g(a) be the second derivative of 7/48*a**4 - 1/80*a**5 - 9/2*a**2 - 2 + 0*a**3 + 20*a. Factor g(p).
-(p - 6)*(p - 3)*(p + 2)/4
Let h = 140478 + -140472. Factor 2/3*j**4 - h + 4*j**3 - 4*j + 16/3*j**2.
2*(j - 1)*(j + 1)*(j + 3)**2/3
Let v(s) be the second derivative of s**7/231 - 2*s**6/165 - 8*s**5/55 + s**4/33 + 5*s**3/11 + 4336*s + 1. Let v(y) = 0. What is y?
-3, -1, 0, 1, 5
Let h(t) = 8*t**3 - 4*t**2 + 4*t + 7. Let n(b) = 5*b**3 - 4*b**2 + 5*b + 8. Let k(j) = 2*h(j) - 3*n(j). Factor k(d).
(d - 2)*(d + 1)*(d + 5)
Let v = -48299 - -48315. Let -96 - v*u - 2/3*u**2 = 0. What is u?
-12
Let s(j) be the second derivative of 226*j + 3/10*j**5 - 2/3*j**4 + 1/15*j**6 + 0 + 0*j**2 + 0*j**3. Solve s(m) = 0 for m.
-4, 0, 1
Let o(g) = 157*g + 20. Let l(m) = -105*m - 13. Let v(d) = -8*l(d) - 5*o(d). Let a be v(1). Let 0*f - 60*f**2 - f + a*f**2 = 0. What is f?
-1, 0
Let o(g) be the third derivative of g**7/420 - 13*g**5/60 + g**4 + 245*g**3/6 - 2*g**2 + 84. Let w(a) be the first derivative of o(a). What is q in w(q) = 0?
-4, 1, 3
Suppose 0 = -6*y - 5*y + 6*y. Suppose y = -6*w + 11*w - 15. Solve 65*i**w - 15*i**5 + 222*i - 20*i**3 - 10*i**4 - 242*i = 0 for i.
-2, -2/3, 0, 1
Let s(h) be the first derivative of -h**4/6 - 308*h**3/9 + 157*h**2/3 + 620*h/3 - 664. Factor s(o).
-2*(o - 2)*(o + 1)*(o + 155)/3
Let y be 4 + 31/(1550/(-390)) + (-1 - -8). Factor -12*g**3 - 52/5*g**2 - 28/5*g**4 - 4/5*g**5 - y*g + 0.
-4*g*(g + 1)**3*(g + 4)/5
Let n(l) be the third derivative of -32*l**2 + l + 17/3*l**3 - 11/8*l**4 + 0 - 1/60*l**5. Factor n(b).
-(b - 1)*(b + 34)
Let k(a) be the third derivative of a**5/120 - 47*a**4/96 - a**3 + 509*a**2. Factor k(p).
(p - 24)*(2*p + 1)/4
Factor 2/3*s**2 - 72*s + 210.
2*(s - 105)*(s - 3)/3
Suppose 8*w + 40 = 3*w. Let l be (-22)/w + (-63)/84. Find g, given that 0*g + 2*g - g - 2 + 4 - g**l = 0.
-1, 2
Let r = -151 + 153. Solve -6*t - 9 + 2*t - 37*t**5 + 30*t**r - 117*t**4 + 37*t + 10*t**5 - 102*t**3 = 0.
-3, -1, 1/3
Let m(k) be the second derivative of -3*k**5/20 + 59*k**4 - 6720*k**3 - 86400*k**2 - 3723*k. Solve m(w) = 0.
-4, 120
Let u(c) be the third derivative of -c**8/1344 - c**7/504 - 17*c**4/6 + 53*c**2. Let a(g) be the second derivative of u(g). Solve a(i) = 0 for i.
-1, 0
Suppose -140*d + 131*d + 270 = 0. Suppose -153*g**2 - 6*g**5 + d*g + 63*g**2 + 3*g**5 + 39*g**2 + 9*g**3 + 15*g**4 = 0. What is g?
-2, 0, 1, 5
Let y(w) be the first derivative of -w**6/540 - 2*w**5/135 + 9*w**2/2 - 3*w + 7. Let x(g) be the second derivative of y(g). Let x(z) = 0. Calculate z.
-4, 0
Let y(a) = -a**2 + 7*a - 15. Let u be y(10). Let h(s) = 9*s**2 + 38*s - 100. Let t(q) = 200*q**2 + 835*q - 2200. Let r(p) = u*h(p) + 2*t(p). Factor r(n).
-5*(n - 2)*(n + 10)
Let n(h) be the second derivative of -h**5/140 + 58*h**4/7 - 20184*h**3/7 + 658*h. Factor n(x).
-x*(x - 348)**2/7
Suppose -o + 1224*j = 1219*j + 2, -16 = -5*o - j. Determine w so that -4418/11 - 750/11*w**4 - 17476/11*w**o + 17484/11*w + 5168/11*w**2 - 8/11*w**5 = 0.
-47, -1, 1/4, 1
Let r(b) be the second derivative of -2*b - 3/2*b**2 + 15 + 1/24*b**4 + 5/12*b**3. Determine n so that r(n) = 0.
-6, 1
Let m = -1 - -4. Let d = 665757/5 - 133151. Factor 2/5*w**2 + 0*w**m + 0 + 0*w - d*w**4.
-2*w**2*(w - 1)*(w + 1)/5
Suppose 8*h - 3*h - 23 = -y, -4*h - 4*y = -28. Factor -13 + 1734*c - 51 - 1694*c - h*c**2.
-4*(c - 8)*(c - 2)
Let h(q) = 7*q**2 + 30*q - 45. Suppose 0 = -11*u + 8*u - 24. Let d(x) = 5*x**2 + 20*x - 30. Suppose -j + 1 = -4. Let l(b) = j*h(b) + u*d(b). Factor l(n).
-5*(n - 1)*(n + 3)
Let o = 405973/3 + -135321. Factor -17/3*g - o - 1/3*g**3 - 8/3*g**2.
-(g + 1)*(g + 2)*(g + 5)/3
Factor -46*p**4 + 966*p**2 + 26*p**4 + 6310 + 93*p**3 + 3744*p - 1990 + 23*p**4.
3*(p + 2)*(p + 5)*(p + 12)**2
Let k(s) be the second derivative of 8*s**6/15 + s**5/5 - 16*s**4/3 - 8*s**3/3 - 235*s. Factor k(q).
4*q*(q - 2)*(q + 2)*(4*q + 1)
What is k in 1/3*k**4 - 29/3*k**3 + 229/3*k + 23*k**2 + 130/3 = 0?
-1, 5, 26
Let v(d) = d. Let b(a) be the first derivative of 2*a**3 - 111*a**2/2 - 80*a + 36. Let z(c) = b(c) - 5*v(c). Factor z(y).
2*(y - 20)*(3*y + 2)
Suppose -5*b = 20 - 45, p - b + 2 = 0. Let m(s) be the first derivative of 20 - 3/7*s**4 + 13/7*s**p + 0*s - 9/7*s**2 - 9/35*s**5. Solve m(i) = 0.
-3, 0, 2/3, 1
Let x = -406 + 410. Let o(l) be the third derivative of 8*l**2 + 2/3*l**3 - 1/75*l**5 + 2/15*l**x + 0*l + 0. Suppose o(s) = 0. Calculate s.
-1, 5
Let n be 9/6*14/3. Suppose 6*r - 117 = -n*r. Factor 7*x**2 - r*x + 7*x**2 - 6 - 22*x**2 + 5*x**2.
-3*(x + 1)*(x + 2)
Let i(t) be the second derivative of 9*t**6/20 - 33*t**5/5 + 1117*t**4/72 + 139*t**3/18 + 4*t**2/3 - 1058*t - 2. Find j, given that i(j) = 0.
-1/9, 2, 8
Let m(x) be the second derivative of x**7/70 + x**6/50 - 9*x**5/100 - x**4/20 + x**3/5 + 209*x + 1. What is r in m(r) = 0?
-2, -1, 0, 1
Let w(v) = 13*v - 2*v - v - v**2 + 66 + 8*v. Let f(r) = -r**2 + r + 1. Let h(n) = 6*f(n) - 3*w(n). Determine i so that h(i) = 0.
-8
Factor 155*r**2 + 147*r**2 - 16*r + 0*r**4 - r**5 - r**3 - 278*r**2 - 6*r**4.
-r*(r - 1)**2*(r + 4)**2
Let s(y) be the first derivative of 2*y**5/75 + 29*y**4/30 + 110*y**3/9 + 215*y**2/3 + 200*y - 1395. Determine a so that s(a) = 0.
-15, -5, -4
Let u(a) = 278*a**2 + 10944*a + 14971416. Let q(d) = -23*d**2 - 2. Let i(k) = -12*q(k) - u(k). Factor i(j).
-2*(j + 2736)**2
Let s(v) be the first derivative of -v**4/4 - v**2/2 + 128. Let t(i) = -300767*i**3 - 26934*i**2 - 808*i - 8. Let u(m) = 4*s(m) - t(m). Factor u(n).
(67*n + 2)**3
Let m(i) = -2*i**3 - 5*i**2 + 5*i - 11. Let t be m(-6). Let u = t - 141. Factor 15*h**3 - 6*h**2 - u - 12*h**4 + 7*h**5 + 70 - 4*h**5.
3*h**2*(h - 2)*(h - 1)**2
Let t = -1009 - -1021. Let y be (-195)/(-78)*t/10. Factor -8/11*u**2 + 6/11*u + 2/11*u**y + 0.
2*u*(u - 3)*(u - 1)/11
Factor -7*x**3 - 175*x**4 + 99*x**4 + 40*x + 32 + 90*x**4 + 174*x**2 + 99*x**3 + 88*x.
2*(x + 1)**2*(x + 4)*(7*x + 4)
Let z(q) be the third derivative of -q**6/320 + 3*q**5/2