d derivative of a**6/780 + 2*a**5/65 - 51*a**4/52 + 140*a**3/39 + 2805*a**2. Factor k(h).
2*(h - 7)*(h - 1)*(h + 20)/13
Suppose q - 18 = -5*h - 6, 0 = -3*q + h - 12. Let x be q/(-4)*4 - 0/(-3). Solve -3*b**x + 4*b**2 + 8 - b**2 + 3*b**2 + 4*b**3 + 12*b = 0 for b.
-2
Let l = -108 - -122. Factor l*v**2 - 14*v**2 + 220*v + 5*v**2 + 1017 + 1403.
5*(v + 22)**2
Suppose -44 - 45*d - 2*d**2 + 13*d - 64 + 39 - 51 = 0. What is d?
-10, -6
Suppose -341*a**2 - 2000*a - 1085 - 415 + 4*a**4 + 16*a**2 - 16*a**3 - 195*a**2 = 0. What is a?
-5, -1, 15
Let f(o) be the third derivative of o**7/105 - o**6/30 - 23*o**5/30 + 2*o**4 + 48*o**3 + 781*o**2. Determine y, given that f(y) = 0.
-3, 4
Suppose y - 2*s + 16 = 0, -4*s + 51 = 9*y - 3. Let i(d) be the second derivative of 22*d + 5/18*d**4 + 0*d**y - 1/3*d**3 + 0. Determine f, given that i(f) = 0.
0, 3/5
Factor 1305/2*d**2 - 25/2*d**3 - 1539/2*d + 459/2.
-(d - 51)*(5*d - 3)**2/2
Let a(t) = -t**3 + 5*t**2 - t. Let n be a(3). Suppose -n*p = -20*p + 10. Factor 307*u**p - 4*u**5 + 3*u**4 + 2*u**3 - 319*u**2 + 8*u + 3*u**5.
-u*(u - 2)**2*(u - 1)*(u + 2)
Let q(z) be the second derivative of -1/8*z**7 + 0 + 0*z**2 - 41/120*z**6 + 37*z + 5/48*z**4 + 1/12*z**3 - 17/80*z**5. Suppose q(r) = 0. What is r?
-1, -2/7, 0, 1/3
Let i(c) be the second derivative of -c**4/42 - 68*c**3/7 - 29*c**2 - 2534*c. Factor i(v).
-2*(v + 1)*(v + 203)/7
Let g(o) = -29*o**2 - 399*o + 59. Let a(s) = s**2 + 13*s - 1. Let i(h) = 3*a(h) + g(h). Solve i(m) = 0.
-14, 2/13
Let c be 21*8/(-24) + 6/((-252)/(-329)). What is b in 1/2 + c*b**2 + 8/3*b = 0?
-3, -1/5
Let u(g) = 14*g**4 - 14*g**3 + 80*g**2 + 453*g - 1770. Let f(h) = -17*h**4 + 13*h**3 - 78*h**2 - 454*h + 1772. Let j(b) = 5*f(b) + 6*u(b). Factor j(q).
-(q - 4)**2*(q + 5)*(q + 22)
Factor 10443/7 + 3/7*z**2 + 354/7*z.
3*(z + 59)**2/7
Let a be (5 - 0/(-2)) + 0 + -1. Let g(n) be the first derivative of 3*n**3 - 3*n**2 - 3/2*n**a + 3/10*n**5 + 19 + 3/2*n. Factor g(s).
3*(s - 1)**4/2
Let h(q) = -39*q - 191. Let m be h(-5). Suppose -x - m*j = -6, -7 + 10 = 3*j. Factor 1/6*n**3 - 1/2*n**x - 5/6 - 3/2*n.
(n - 5)*(n + 1)**2/6
Suppose 18*x - 15 = 15*x. Find u such that x*u**2 - 124 + 14*u + 221 + 6*u - 122 = 0.
-5, 1
Let k(l) be the third derivative of -l**6/720 + 7*l**5/360 + 5*l**4/72 - 4*l**3/9 - 2*l**2 + 66. Find b, given that k(b) = 0.
-2, 1, 8
Let p(w) = w**2 + 40*w + 353. Let z be p(-13). Let 80/3 + 12*k - 2/3*k**z = 0. What is k?
-2, 20
Suppose -185*r**2 + 374*r**2 + 7182050 + 7580*r - 187*r**2 = 0. What is r?
-1895
Let q be (-237 - -234)*(0 + -1). Let d(k) be the second derivative of 0 - 38/9*k**q + 21/10*k**5 + 2*k**2 + 29/12*k**4 - 49/90*k**6 + 19*k. Solve d(h) = 0.
-1, 2/7, 3
Let u = -576486 - -576488. Solve 0*d + 108/5*d**u - 2/5*d**5 + 24/5*d**4 + 0 - 18*d**3 = 0 for d.
0, 3, 6
Let b(x) be the third derivative of x**5/30 + 3*x**4/4 + 6*x**3 - 1051*x**2. Factor b(o).
2*(o + 3)*(o + 6)
Let o be (-8)/4*(-26)/4. Suppose o*l + 64 = 45*l. Suppose 5/2 - 17/4*u + 3/4*u**l = 0. Calculate u.
2/3, 5
Let v(f) = 28*f + 293. Let w be v(-10). Let g(n) be the third derivative of 5/3*n**3 + 0 + 2*n**5 - 65/24*n**4 + w*n**2 + 0*n - 3/8*n**6. Factor g(j).
-5*(j - 2)*(3*j - 1)**2
Let q(u) = u**2 + 8*u - 18. Suppose -9*w = -7*w + 20. Let b be q(w). Factor 4*a**b + 3*a - a**2 - 12*a + 3*a.
3*a*(a - 2)
Factor 21*n + 3/2*n**2 - 264.
3*(n - 8)*(n + 22)/2
Determine b, given that -15*b + 0*b**3 - 18*b**3 - 10*b**3 - 13*b**3 - 3*b**3 - 1 - 48*b**2 = 0.
-1/2, -1/11
Let j(c) be the third derivative of -c**6/480 + 11*c**5/240 - c**4/4 - 3*c**3/2 + 135*c**2 + 1. Factor j(b).
-(b - 6)**2*(b + 1)/4
Suppose -9*i + 484 = 340. Suppose -481*l**2 - 13*l**3 + 1104*l - l**4 - 66 - i*l**3 - 17*l**3 - 510 = 0. Calculate l.
-24, 1
Suppose 2*f - 6*f = 2*x - 972, -4*f + 976 = 4*x. Factor 90*c - 133 + 131 + 194 + 5*c**2 - 29 + f.
5*(c + 9)**2
Let g = 1598 + -1598. Let u(d) be the second derivative of 0*d**4 + 0*d**3 + d + g - 3/20*d**5 + 1/20*d**6 + 0*d**2. Factor u(t).
3*t**3*(t - 2)/2
Solve 1/3*k**5 + 10/3*k**3 + 2*k**4 - 11/3*k - 2 + 0*k**2 = 0 for k.
-3, -2, -1, 1
Let w(s) be the first derivative of -5*s**6/6 - 16*s**5 - 75*s**4/2 + 980*s**3/3 - 1165*s**2/2 + 420*s + 5104. Factor w(m).
-5*(m - 1)**3*(m + 7)*(m + 12)
Let t(m) = -8*m**3 - 62*m**2 - 206*m - 188. Let p(i) = 2*i**3 - i**2 - i - 2. Suppose 61*b = 66*b - 5. Let z(g) = b*t(g) + 2*p(g). Factor z(f).
-4*(f + 2)**2*(f + 12)
Let m(b) = b**3 + 78*b**2 - 1127*b - 532. Let y be m(-90). What is i in -86*i**2 - 2/3*i**3 - y*i - 159014/3 = 0?
-43
Let k be -22 + 20350/259 + -56. Determine z, given that 12/7*z - k*z**3 + 10/7 - 18/7*z**2 = 0.
-5, -1/2, 1
Let n be ((-9)/(-2))/((-51)/(-4)). Let r = -1526 - -1526. Determine o so that -n*o**2 - 6/17*o**3 + r - 2/17*o - 2/17*o**4 = 0.
-1, 0
Let f(h) be the third derivative of -2/15*h**5 + 0*h + 0 + 313*h**2 + 1/12*h**4 + 0*h**3. Factor f(t).
-2*t*(4*t - 1)
Let j(f) = -f**3 + f**2 - 277*f - 863. Let u be j(-3). Let 2/19*s**5 - 10/19*s**u + 4/19*s**3 - 6/19*s - 18/19 + 28/19*s**2 = 0. Calculate s.
-1, 1, 3
Let s be (5 + (-215)/45)*(-45)/(-20). Let n(b) be the second derivative of -1/24*b**4 + 0 - 9/4*b**2 + s*b**3 + 10*b. Factor n(j).
-(j - 3)**2/2
Let a be 14/4 - (-8 - 225/(-30)). Let m(r) be the first derivative of 1/2*r + 0*r**3 + 1/4*r**a - 15 - 1/2*r**2 - 1/10*r**5. Determine p so that m(p) = 0.
-1, 1
Let p be (704/(-3960))/((-14)/3). Let s(q) be the third derivative of 22*q**2 + 5/28*q**4 + 0*q - p*q**6 + 2/21*q**3 + 0 + 4/35*q**5. Factor s(x).
-2*(x - 2)*(4*x + 1)**2/7
Let w(q) be the first derivative of -q**6/40 + q**5/5 - q**4/2 - 279*q**2/2 + 15. Let d(f) be the second derivative of w(f). Determine v so that d(v) = 0.
0, 2
Let d(y) be the second derivative of y**4/4 - 6*y**3 - 162*y**2 - 191*y - 2. Factor d(k).
3*(k - 18)*(k + 6)
Suppose 272/3*d**3 - 20/3 + 32/3*d**4 - 154*d**2 + 178/3*d = 0. Calculate d.
-10, 1/4, 1
Let p = 2/11449 - -91574/103041. Let y = -30 - -32. Let -10/9 + 2/9*s**y + p*s = 0. Calculate s.
-5, 1
Let t(a) = -274*a**2 + 1810*a + 810005. Let b(l) = 329*l**2 - 1812*l - 810006. Let x(s) = 5*b(s) + 6*t(s). Factor x(p).
(p + 900)**2
Suppose -w + 5*w = -4*c + 28, 0 = -3*w + 4*c + 42. Suppose 48 = -w*x + 14*x. Let -3*i**4 - x*i**2 + 22*i**4 + 12*i**3 - 16*i**4 - 3*i**5 = 0. Calculate i.
-2, 0, 1, 2
Let z(l) be the third derivative of l**9/1050 - 17*l**8/8400 - l**7/225 + l**6/45 + 5*l**5/3 - 95*l**2. Let t(y) be the third derivative of z(y). Factor t(v).
4*(3*v - 2)**2*(8*v + 5)/5
Let s(r) = -r**2 - 17*r - 63. Let j be s(-6). Suppose 3*f**j + 11*f**2 - 3*f**4 + 5*f**3 + f**2 - 5*f**3 - 12*f = 0. What is f?
-2, 0, 1, 2
Let v(j) = -29*j**3 - 2054*j**2 - 5638*j - 3200. Let z(u) = -2*u**3 + 8*u**2 + u. Let d(m) = v(m) - 2*z(m). Factor d(n).
-5*(n + 2)*(n + 80)*(5*n + 4)
Suppose -4*t + 5*i + 16 = 0, t - 4 = -4*i + 5*i. Let l = -1243303/28 - -185981/4. Solve -44/7*x**3 - 726/7*x**2 - 1/7*x**t - 5324/7*x - l = 0 for x.
-11
Factor 2/9*o**2 - 5636/9*o + 0.
2*o*(o - 2818)/9
Let q = 77 - 72. Suppose q*z + 3*g - 13 = 6*g, -3 = 3*g. Let d(u) = 2*u**2 + 4*u + 9. Let i(y) = -y**2 - 3*y - 8. Let b(c) = z*d(c) + 3*i(c). Factor b(m).
(m - 3)*(m + 2)
Suppose 8/9*h**2 - 4/9*h**4 - 4/3*h**3 + 4/3 + 2/9*h**5 + 26/9*h = 0. What is h?
-1, 2, 3
Let s(w) be the third derivative of w**5/270 - 71*w**4/9 + 20164*w**3/3 - 1095*w**2. Factor s(c).
2*(c - 426)**2/9
Let w(f) be the third derivative of 0*f**4 + 0*f**3 + 11/20*f**6 + 0 - 49*f**2 + 7/15*f**5 + 2*f + 16/105*f**7 - 1/56*f**8. Find c, given that w(c) = 0.
-1, -2/3, 0, 7
Let a(l) be the second derivative of -l**7/189 - 7*l**6/135 - l**5/5 - 11*l**4/27 - 13*l**3/27 - l**2/3 + 2399*l. Solve a(y) = 0 for y.
-3, -1
Let y = 5345/131 + -19415/524. Determine r, given that 10*r - 5/2*r**3 + 15/4 + y*r**2 = 0.
-1, -1/2, 3
Let p = -2249/12 - -187. Let c = p + 103/132. Factor -2/11*h**5 + 0*h**3 - c*h**4 + 2/11*h + 0 + 4/11*h**2.
-2*h*(h - 1)*(h + 1)**3/11
Let w be (3/(-7)*5285/(-453))/((-50)/(-4)). Suppose 8/5 - 8/5*g - w*g**2 + 2/5*g**3 = 0. Calculate g.
-2, 1, 2
Let i(r) be the third derivative of -r**10/30240 + r**8/576 - r**7/168 + r**5/4 + r**4/4 - 4*r**2 - 45. Let j(u) be the third derivative of i(u). Factor j(g).
-5*g*(g - 2)*(g - 1)*(g + 3)
Suppose o + 256 = -t + 266, -24 = -3*t. Factor -104/