 0. Calculate b.
-15
Let l = 94/21 - 226/63. Factor -l*j**2 + 2/9*j**3 + 0 + 8/9*j.
2*j*(j - 2)**2/9
Let h(o) = 4*o + 4. Let l be h(3). Factor l*y**2 - 33*y - 19*y**2 + 18 + 12*y**2.
3*(y - 3)*(3*y - 2)
Let y be 4 - 12/(-20)*-5. Let s be ((-78)/351)/(y/12*-1). Factor s*b + 8/3*b**2 + 0 + 2/3*b**3.
2*b*(b + 2)**2/3
Factor -3*c**2 - 3 + 23*c**2 - 6*c**2 - 11*c**2.
3*(c - 1)*(c + 1)
Let p(t) be the second derivative of -t**6/180 + t**5/12 - 11*t**4/24 + t**3 - t - 630. Let p(y) = 0. Calculate y.
0, 3, 4
Suppose -5*b + 38 - 12 = 4*v, 4*b + v = 12. What is c in -37*c - 16*c**b + 16*c - 36 - 2*c**3 - 21*c = 0?
-3, -2
Let m(t) be the first derivative of -t**6 + 19*t**5/5 - 21*t**4/4 + 3*t**3 - t**2/2 - 85. Solve m(v) = 0 for v.
0, 1/6, 1
Let k = -2644 - -2646. Solve 1/2*i**3 - i**k + 0 + 1/2*i = 0.
0, 1
Suppose 0*r - 5*r = 1445. Let t = 1454/5 + r. Let 0*h + 0*h**2 + 0 - 3*h**5 - t*h**4 + 6/5*h**3 = 0. What is h?
-1, 0, 2/5
Let p(j) be the first derivative of j**5/300 - j**4/24 + j**3/5 + 11*j**2/2 + 3. Let s(y) be the second derivative of p(y). Factor s(o).
(o - 3)*(o - 2)/5
Let q(j) be the third derivative of 0*j + 10*j**2 + 1/3*j**3 + 0*j**4 + 0 - 1/30*j**5. Determine i so that q(i) = 0.
-1, 1
Factor -104/17 + 160/17*q - 6/17*q**2.
-2*(q - 26)*(3*q - 2)/17
Let n = 6473 + -32362/5. Determine d, given that -n*d**3 + 1/5*d + 2/5*d**2 + 0 = 0.
-1/3, 0, 1
Let b(d) = d**2 + 19*d + 72. Let l be b(-14). Suppose 4*y - 31 = -5*h, 4*h = y - 2*y + 16. Factor -10/9*o**3 + 4/9*o**l + 0 + 0*o - 2/9*o**5 + 8/9*o**y.
-2*o**2*(o - 2)*(o - 1)**2/9
Factor k**3 + 2*k**4 + 3*k**3 - 10*k**2 + 44 - k - 11*k - 44.
2*k*(k - 2)*(k + 1)*(k + 3)
Let d(w) be the third derivative of w**7/840 + w**6/20 + 9*w**5/10 - 55*w**4/24 - 32*w**2. Let m(c) be the second derivative of d(c). Find a such that m(a) = 0.
-6
Let z(y) = 36*y**4 - 25*y**3 - 64*y**2 + 25*y + 39. Let n(k) = -7*k**4 + 5*k**3 + 13*k**2 - 5*k - 8. Let x(f) = -11*n(f) - 2*z(f). Let x(c) = 0. Calculate c.
-1, 1, 2
Factor 68 - 20*x + 2*x**4 - 18*x**2 - 30 - 16*x**3 - 38 - 20*x**2.
2*x*(x - 10)*(x + 1)**2
Let l(a) be the second derivative of -a**4/78 - 40*a**3/39 - 400*a**2/13 + a + 6. Factor l(x).
-2*(x + 20)**2/13
Let f = 11474 - 34418/3. Let -7/6*l**3 - f*l**2 + 8/3*l - 1/6*l**4 + 0 = 0. Calculate l.
-4, 0, 1
Let g(u) be the third derivative of 5/4*u**6 + 0 - 5*u**2 + 0*u - 15/14*u**7 + 3/5*u**5 - u**4 + 0*u**3. Suppose g(r) = 0. What is r?
-2/5, 0, 2/5, 2/3
Factor -20*o - 139*o**3 + 19*o + o - 4563*o**2 + 373*o**3 - 3*o**4.
-3*o**2*(o - 39)**2
Let z(t) be the third derivative of t**8/5040 - t**7/420 - t**6/45 - 17*t**5/60 - 2*t**2. Let k(g) be the third derivative of z(g). Factor k(a).
4*(a - 4)*(a + 1)
Solve 21/4*l + 0 - 3/4*l**2 = 0.
0, 7
Let y(u) = 2*u + 35. Let f be (5/(-10))/((-5)/(-160)). Let q be y(f). Solve 55/2*l**q + 90*l**2 + 40*l - 160 + 5/2*l**4 = 0 for l.
-4, 1
Let x(z) be the third derivative of -1/280*z**7 - 1/12*z**4 - 1/12*z**5 + 0*z**3 + 0 - 7/240*z**6 + 0*z - 10*z**2. Let x(q) = 0. What is q?
-2, -2/3, 0
Let d(j) be the third derivative of -3*j**6/160 + j**5/16 - 7*j**4/96 + j**3/24 - 4*j**2 - 2*j. Find o, given that d(o) = 0.
1/3, 1
Let o(x) be the third derivative of -x**7/1050 + x**6/300 + 11*x**5/300 - x**4/10 - 6*x**3/5 - 51*x**2. Factor o(w).
-(w - 3)**2*(w + 2)**2/5
Let m be 0 + (-6)/3 + -1. Let g be (1/(-3))/(m/27). Factor -4*f + f + g*f + 2*f**3 - 2*f**5.
-2*f**3*(f - 1)*(f + 1)
Let n be (-923)/(-142) - 17/4. Factor -3/4*a**3 - n*a + 15/4*a**2 - 27/4.
-3*(a - 3)**2*(a + 1)/4
Let i(o) be the second derivative of o**8/945 + o**7/630 - o**6/810 + 2*o**3/3 - 7*o. Let r(p) be the second derivative of i(p). Factor r(n).
4*n**2*(n + 1)*(4*n - 1)/9
Let l be (-3)/5*(-15)/1. Suppose -s - 13 = -4*q, 4*q - l = 7*q + 3*s. Factor -q*f**2 - 2*f**4 - 65 - 4*f**3 + 65.
-2*f**2*(f + 1)**2
Let s(q) = q**2 + 4*q + 4. Let v be s(-4). Suppose -6 = v*l - 6*l. Factor -4*b**2 + 6 - 1 - 2 + 12*b**l + 1 - 12*b.
4*(b - 1)*(b + 1)*(3*b - 1)
Let x = -485/627 + 17/19. Let y(p) be the first derivative of -3/11*p**2 - 6/55*p**5 - 7 + 2/11*p + 1/11*p**4 + 1/33*p**6 + x*p**3. Find a, given that y(a) = 0.
-1, 1
Let m(d) be the second derivative of -d**5/80 - 25*d**4/48 - 67*d. Factor m(l).
-l**2*(l + 25)/4
Let o(n) = 2*n**3 - 2*n**2 - 8*n - 4. Let f(r) = 17*r + 1 + 3*r**2 + 4 - 2*r**3 - 8*r. Let p(g) = 4*f(g) + 5*o(g). Suppose p(h) = 0. Calculate h.
-2, 0, 1
Let i(b) be the first derivative of -13 + 6*b - 19 - 2*b**3 + 10 + 8*b**2. Factor i(n).
-2*(n - 3)*(3*n + 1)
Let o(z) = z**3 - 6*z**2 - 3*z - 11. Let a be o(8). Let l = -88 + a. Determine k so that 0 - 12/5*k + 3*k**l + 36/5*k**4 - 36/5*k**2 - 3/5*k**3 = 0.
-2, -1, -2/5, 0, 1
Let n = -8421 - -8421. Solve 3/7*a**4 + 0 + 1/7*a**3 + n*a - 3/7*a**2 - 1/7*a**5 = 0 for a.
-1, 0, 1, 3
Suppose 15*s + 6*s - 105 = 0. Let b(q) be the third derivative of 0 - s*q**2 + 1/24*q**4 + 1/6*q**3 + 1/240*q**5 + 0*q. Factor b(y).
(y + 2)**2/4
Let x(k) be the second derivative of -3869893*k**5/10 + 73947*k**4/2 - 1413*k**3 + 27*k**2 - 119*k. Factor x(z).
-2*(157*z - 3)**3
Let z(v) be the third derivative of -v**5/20 - v**4/4 + 63*v**2. Factor z(o).
-3*o*(o + 2)
Let k(d) be the first derivative of -d**6/10 - 42*d**5/25 + 9*d**4/20 + 44*d**3/5 + 42*d**2/5 + 40. Find t such that k(t) = 0.
-14, -1, 0, 2
Let u(w) be the first derivative of w**5/25 - 9*w**4/20 + 23*w**3/15 - 3*w**2/2 + 266. Solve u(a) = 0 for a.
0, 1, 3, 5
Find a, given that -548*a**2 - a - 3*a + 555*a**2 - 2*a**3 - a**4 + 0*a = 0.
-4, 0, 1
Let n be ((-4)/6)/(6/(-117)). Let u = -11 + n. Factor 0*o**2 + 3*o**4 + o**2 - 4*o**2 - 3*o**3 + o + u*o.
3*o*(o - 1)**2*(o + 1)
Suppose -10*l - 12 = -14*l. Suppose l = 4*t - 5. What is m in -4/7 - 2*m**3 + 26/7*m**4 + 22/7*m - 22/7*m**t - 8/7*m**5 = 0?
-1, 1/4, 1, 2
Let c(z) = 7*z**2 - z + 28. Let o be c(-6). Let g = o - 284. Let -2/5*r**5 - 8/5*r**3 + 4/5 + 2*r - 8/5*r**4 + 4/5*r**g = 0. What is r?
-2, -1, 1
Let s(v) be the second derivative of 1/48*v**4 + 0 + 6*v + 0*v**2 - 1/12*v**3. Factor s(z).
z*(z - 2)/4
Let s be (11/28 + 5/(-20))/1. Factor -2/7*y**2 - 2/7*y**3 + 1/7*y + 1/7*y**4 + 1/7*y**5 + s.
(y - 1)**2*(y + 1)**3/7
Let p be (-7 - 445/(-10)) + 3 + 0. Let b(f) be the first derivative of 3/4*f**4 + 1 + 9*f**3 + p*f**2 + 81*f. Suppose b(o) = 0. Calculate o.
-3
Let g = 108376/4235 - -8/847. Let m(v) = 2*v - 6. Let j be m(4). Factor g*o**5 + 104/5*o - 482/5*o**j + 184*o**3 - 8/5 - 608/5*o**4.
2*(o - 2)**2*(4*o - 1)**3/5
Let k(b) = 5*b**4 - 2*b**3 - 5*b**2 + 8*b. Let v(o) be the third derivative of o**7/210 - o**5/60 + o**4/24 + 8*o**2. Let x(j) = k(j) - 6*v(j). Factor x(p).
-p*(p - 1)*(p + 1)*(p + 2)
Let w be (-2)/((-30)/9)*45/9. Suppose -7*b + 11 + w = 0. Factor -5/3*n**b - 2/3*n + 0.
-n*(5*n + 2)/3
Factor -7*j - 5*j**4 - 15*j + 25*j**3 - 9*j + 6*j - 30 + 35*j**2.
-5*(j - 6)*(j - 1)*(j + 1)**2
Let x(s) be the second derivative of -s**4/4 + 27*s**3/2 + 135*s**2 + 379*s. Factor x(n).
-3*(n - 30)*(n + 3)
Let b(u) be the third derivative of u**8/30240 + u**7/1890 + u**6/270 - 11*u**5/60 - u**2. Let j(i) be the third derivative of b(i). Factor j(k).
2*(k + 2)**2/3
Let u(d) be the third derivative of 0*d - 1/240*d**5 - 7/48*d**4 - 49/24*d**3 + 0 - 3*d**2. Factor u(c).
-(c + 7)**2/4
Find b, given that -47 + 110 + 13230*b**2 + 1260*b + 46305*b**3 - 23 = 0.
-2/21
Suppose 4*z = -2*r + 10, -5*z + 20 = 3*r + 7. Let x be -3*16/(-12)*z/44. Factor -x*s**2 + 0*s + 0 - 2/11*s**3.
-2*s**2*(s + 1)/11
Suppose -2*h = 3*o, 0 = -2*o + h - 3*h - 2. Suppose 14 = 4*g + o. Let 2*k**g + 16*k**3 - 8*k - k**4 + 7*k**4 + 8*k**4 - 24*k**2 = 0. What is k?
-2, -2/7, 0, 1
Factor 340*d**2 + 33 + 138*d + 2*d**5 - 75*d**3 + 0*d**5 + 1 + 223*d**3 + 42*d**4 - 128*d**2.
2*(d + 1)**4*(d + 17)
Let g(y) = -y. Let a(m) = -m - 2 - 9*m + 13*m + 2*m**2. Suppose -4*r + 1 + 3 = 0. Let b(x) = r*a(x) + 3*g(x). Factor b(p).
2*(p - 1)*(p + 1)
Let j(h) = -16*h**3 + 178*h**2 + 182*h - 18. Let s(w) = -2*w**3 - w**2 - w - 3. Let q(z) = j(z) - 6*s(z). What is o in q(o) = 0?
-1, 0, 47
Let m(s) be the second derivative of -s**6/10 - 93*s**5/20 + s**4/4 + 31*s**3/2 - 347*s. Suppose m(r) = 0. Calculate r.
-31, -1, 0, 1
Let r be (-56)/(-126)*6/8. Let v(m) be the first derivative of 1/4*m**4 - m**2 + 0*m + r*m**3 + 5. Factor v(z).
z*(z - 1)*(z + 2)