 Calculate b.
-2, -1
Let a be 4182/(-8)*146/(-3723). Find s such that a*s - 19/2*s**2 - 1/2*s**3 - 21/2 = 0.
-21, 1
Let n(u) be the second derivative of -5/2*u**5 + 0*u**2 + 0 + 28*u**4 + 105*u + 1/15*u**6 - 48*u**3. Factor n(y).
2*y*(y - 12)**2*(y - 1)
Let m = 3005/682 + 32/341. Determine y, given that m*y**4 + 0*y - 27/4*y**3 + 0 - 3/4*y**5 + 3*y**2 = 0.
0, 1, 4
Let g = -264 - -259. Let i(x) = 3*x**3 + 14*x**2 + 29*x + 13. Let p(s) = s**3 + 6*s**2 + 15*s + 7. Let y(w) = g*p(w) + 3*i(w). Factor y(k).
4*(k + 1)**3
Let m be 0*((-1274)/(-2860) - 6/11). Let -2/3*s**4 - 8/3*s**2 + 0*s + m + 8/3*s**3 = 0. Calculate s.
0, 2
Let h = -485731 - -485733. Factor -20/11 - 2/11*m**h - 14/11*m.
-2*(m + 2)*(m + 5)/11
Let h(j) be the third derivative of j**8/336 - 11*j**7/42 + 389*j**6/60 - 77*j**5/10 - 1161*j**4/8 - 729*j**3/2 - 1760*j**2. Solve h(p) = 0 for p.
-1, 3, 27
Let f(o) be the third derivative of -o**6/30 - 34*o**5/15 - 32*o**4/3 + 762*o**2. Factor f(m).
-4*m*(m + 2)*(m + 32)
Let v(h) be the second derivative of 53*h + 65/12*h**4 + 0 - 1/4*h**5 + 0*h**2 + 0*h**3. Factor v(a).
-5*a**2*(a - 13)
Let n(i) = -i**3 - 2*i**2 - 3*i - 4. Let m be 24/(-18)*-1*(-6)/4. Let z be n(m). Factor f**5 + 61*f**4 - 22*f**2 - 3 - 18*f**3 - 13*f - 68*f**4 - z*f**5.
-(f + 1)**4*(f + 3)
Let t(w) be the first derivative of -1/120*w**5 + 1/48*w**4 - 8*w**3 - 4 + 0*w**2 + 1/720*w**6 + 0*w. Let m(u) be the third derivative of t(u). Factor m(b).
(b - 1)**2/2
Let k(c) = c + 15. Let r be k(0). Factor -5*p**4 - r*p - 51*p**2 + 35*p**2 + 41*p**2 - 5*p**3.
-5*p*(p - 1)**2*(p + 3)
Let r(z) be the third derivative of -z**7/105 + 27*z**6/20 + 11*z**5/2 + 83*z**4/12 + 1590*z**2. Factor r(u).
-2*u*(u - 83)*(u + 1)**2
Let v(c) be the first derivative of c**3/7 + 66*c**2 + 10164*c + 597. Factor v(k).
3*(k + 154)**2/7
Suppose 4/5*k**3 - 4864/5*k - 4096 - 256/5*k**2 = 0. What is k?
-8, 80
Suppose 0 = 3*k - 5*m - 1670, m = 2*k - 213 - 905. Let x = k - 558. Factor -1/4*b**x + 0 - 1/8*b - 1/8*b**3.
-b*(b + 1)**2/8
Let z(j) be the third derivative of j**7/15120 - j**5/180 + 133*j**4/24 + 2*j**2 - 13*j. Let t(f) be the second derivative of z(f). Solve t(u) = 0.
-2, 2
Let -83/2*g + 65 + 3/2*g**2 = 0. What is g?
5/3, 26
Let n(z) be the first derivative of -z**4 - 64*z**3 - 82*z**2 + 1128*z - 1537. Factor n(x).
-4*(x - 2)*(x + 3)*(x + 47)
Let q(r) = -33*r**3 - 131*r**2 - 359*r + 479. Let b(g) = 950*g**3 + 3795*g**2 + 10410*g - 13890. Let k(f) = -4*b(f) - 115*q(f). Factor k(a).
-5*(a - 1)*(a + 5)*(a + 19)
Let q(o) be the third derivative of 7*o**5/20 - 23*o**4/8 + 3*o**3 - 919*o**2 + o. Solve q(b) = 0 for b.
2/7, 3
Let g(u) = 40*u**3 + 760*u**2 + 565*u - 1440. Let l(j) = 5*j**3 + 95*j**2 + 71*j - 180. Let p(o) = 3*g(o) - 25*l(o). Find z such that p(z) = 0.
-18, -2, 1
Let y(c) = c. Let w(b) = -4*b**2 + 16*b + 64. Let x be (60/40)/(3*2/(-32)). Let n(a) = x*y(a) - w(a). Factor n(p).
4*(p - 8)*(p + 2)
Determine l, given that 1863*l - 686 - 79*l**2 - 317*l**2 - 1191 - 409 + 60*l + 3*l**3 = 0.
2, 3, 127
Let w(z) be the third derivative of -z**5/390 + 49*z**4/52 - 146*z**3/39 - 9*z**2 + 135. Factor w(c).
-2*(c - 146)*(c - 1)/13
Let p = 3674 + -14693/4. Let q = 118/7 + -409/28. Suppose 9/4*a**2 + 3/2*a + 0 - q*a**4 - p*a**3 - 3/4*a**5 = 0. Calculate a.
-2, -1, 0, 1
Let v(x) be the third derivative of x**5/15 + 567*x**4/2 + 3400*x**3/3 + x**2 + 9*x + 21. Factor v(z).
4*(z + 1)*(z + 1700)
Suppose -125*n + 184 = -117*n. Let o(x) = -x**3 + 27*x**2 - 93*x + 25. Let l be o(n). Factor 8/15 + 2/15*w**l - 8/15*w.
2*(w - 2)**2/15
Suppose -1675*y + 5715 = 690. Find n, given that 18/7*n**2 + 2/7*n**y + 0*n + 0 = 0.
-9, 0
Find m, given that 190*m + 2400*m**3 - 1993*m**4 - 100*m**5 - 754*m**2 + 286*m + 48 + 2988*m**4 - 81*m**3 + 2406*m**2 = 0.
-1, -2/5, -1/4, 12
Let b(o) be the third derivative of -3*o**8/784 + 17*o**7/245 - o**6/8 - 13*o**5/35 + 5*o**4/14 - 53*o**2 - 7. Let b(k) = 0. What is k?
-1, 0, 1/3, 2, 10
Suppose -2*t = f + 1, -5*t + 4*f + f = -35. Suppose 0 - 4 = -5*v + w, -4*v = 4*w + 16. Solve 6/5*s - 2/5*s**t + v = 0 for s.
0, 3
Let 3*b**3 - 355*b + 357/2 + 174*b**2 - 1/2*b**4 = 0. What is b?
-17, 1, 21
Let x(v) be the second derivative of -v**4/5 + 479*v**3/5 - 717*v**2/5 - 2156*v. Factor x(k).
-6*(k - 239)*(2*k - 1)/5
Let y = -605 - -626. Let z be y/39*54/189. Find l such that 0*l - z*l**3 + 4/13*l**2 + 0 - 56/13*l**4 = 0.
-2/7, 0, 1/4
Let a be ((3/(-30)*-1)/(6/(-135)))/(-3). Let u(w) be the first derivative of -30 - a*w**2 - 5/6*w**3 - 1/8*w**4 + 9/2*w. Factor u(x).
-(x - 1)*(x + 3)**2/2
Suppose 2*l + f - 4 = -3, -3*l - f + 3 = 0. Factor -2*a**3 - 98*a - 2*a**3 + 16*a**l + 2*a**3 - 44*a**2.
-2*a*(a + 7)**2
Let c = 45290 + -45286. Determine o so that -5/4*o + 0 - 15/4*o**3 - 15/4*o**2 - 5/4*o**c = 0.
-1, 0
Let b be (-24)/(-2904)*-33*-11. Factor -9/2*u + 0*u**2 - 3 + 3/2*u**b.
3*(u - 2)*(u + 1)**2/2
Factor 2 + 28/3*j + 2/3*j**4 + 6*j**3 + 27/2*j**2.
(j + 2)*(j + 6)*(2*j + 1)**2/6
Let j(r) be the second derivative of r**4/60 + 64*r**3/15 - 26*r**2 - 558*r. Let j(b) = 0. What is b?
-130, 2
Let d(i) be the first derivative of i**6/30 + 4*i**5/5 + 66*i - 44. Let l(v) be the first derivative of d(v). Factor l(g).
g**3*(g + 16)
Let x(b) = -12*b**2 + 30*b - 27. Let k(t) = -5*t**2 + 15*t - 14. Suppose -11*v + 27 + 17 = 0. Let d(n) = v*x(n) - 9*k(n). Determine f so that d(f) = 0.
-6, 1
Let g = 3699 + -2431. Let a = -5071/4 + g. Factor a*m**5 - 1 - 1/4*m**3 - 3*m + 3/4*m**4 - 11/4*m**2.
(m - 2)*(m + 1)**3*(m + 2)/4
Suppose 348*d + d**2 + 1618*d - 4846*d + 4695003 + 2*d**2 - 4626*d = 0. Calculate d.
1251
Let d = -601969/4 - -150493. Suppose 9*u**2 - 135/4*u + 75/2 - d*u**3 = 0. What is u?
2, 5
Suppose -4*z + 1 = 5*l, -5*z = -l - 66 + 43. Let n(c) be the first derivative of -19/3*c**3 - 20 + 7/4*c**4 + z*c + 4*c**2. Determine o so that n(o) = 0.
-2/7, 1, 2
Let u(z) be the third derivative of 57/8*z**4 - 1/840*z**7 - 143/120*z**5 - 3/40*z**6 + 2*z**2 + 42*z - 361/24*z**3 + 0. Let u(o) = 0. Calculate o.
-19, 1
Let o(a) be the second derivative of 1/40*a**6 - 7*a - 1/8*a**4 - 39/2*a**2 - 1/20*a**5 + 0 + 1/2*a**3. Let t(j) be the first derivative of o(j). Factor t(g).
3*(g - 1)**2*(g + 1)
Let d(z) be the third derivative of -5*z**4/24 - 13*z**3/6 - 7*z**2. Let w be d(-3). Factor s**2 + 0*s - 4*s + s + 0*s**w.
s*(s - 3)
Let m(i) = 4*i**2 - 7*i + 6. Let r be (2/(1 - -5))/((-61)/(-183)). Let j be m(r). Factor 0*o + 1/4*o**j + 0 - 1/2*o**2.
o**2*(o - 2)/4
Suppose -5*b - 3 = -6*b. Let c = 1/494 + 75/494. Solve 6/13*o**4 + 0 - 2/13*o**b - 6/13*o**2 + c*o = 0.
-1, 0, 1/3, 1
Let k be 4/((-8)/6) + (-16)/8. Let a be k/5*(-1 + 1). Factor -47*n**2 - 3*n + a*n + 48*n**2.
n*(n - 3)
Let j be (-3)/(3/(-4))*4/8. Let a(n) be the second derivative of 12 + 0*n**j + 11/15*n**6 - 2*n - 21/10*n**5 + 1/3*n**3 + 3/2*n**4. Find r such that a(r) = 0.
-1/11, 0, 1
Let p(u) = 120*u - 235. Let r be p(2). Let s(v) be the third derivative of 0*v + 0 - 1/300*v**r - 20*v**2 - 1/40*v**4 + 0*v**3. Solve s(y) = 0.
-3, 0
Let t(o) be the first derivative of 3*o**4 - 1742*o**3/3 - 731*o**2 + 292*o - 6270. Determine m so that t(m) = 0.
-1, 1/6, 146
Let 468 - 806*h**2 + 478 - 87*h - 376 + 809*h**2 = 0. What is h?
10, 19
Let x(g) be the third derivative of g**7/315 - 10*g**6/9 + 9373*g**5/90 + 10609*g**4/6 - 3462*g**2. Factor x(r).
2*r*(r - 103)**2*(r + 6)/3
Let w = -3/29212 - -467455/613452. Factor 4/7*c**2 + 0 - w*c - 2/21*c**3.
-2*c*(c - 4)*(c - 2)/21
Let d(b) = b**2 + 8*b - 150. Let u be d(9). Let j(p) be the second derivative of 3/100*p**5 + 0 + 0*p**2 - 20*p + 1/30*p**4 + 0*p**u - 1/30*p**6. Factor j(g).
-g**2*(g - 1)*(5*g + 2)/5
Let g = -2216/5 + 445. Suppose -3*n + 10 = r, 837*r - 842*r + 11 = 2*n. Let -g*f**n + 12/5 - 48/5*f + 39/5*f**2 = 0. What is f?
1/3, 2
Let i(s) be the first derivative of 2*s**4/21 + 22*s**3/63 + 5*s**2/21 - 4*s/21 - 1878. Factor i(h).
2*(h + 1)*(h + 2)*(4*h - 1)/21
Let m(v) be the first derivative of -v**4/44 - 5*v**3/11 + 9*v**2/11 + 32*v/11 - 11848. Suppose m(f) = 0. Calculate f.
-16, -1, 2
Let o(y) = y**2 - 220*y + 9701. Let u be o(159). Determine c so that 3/2*c**u + 12*c + 18 = 0.
-6, -2
Suppose 9096 = 2409*i - 1066 + 526. Suppose 0*t - 2*t**5 + 16/3*t**i + 0*t**2 - 8/3*t**3 + 0 = 0. What is t?
0, 2/3, 2
Suppose -5*t + 68 = 