 2)/7
Let c = 289 - 248. Suppose c*a - 27 = 32*a. Solve -5/3*l**4 + 0 - 5/3*l**5 + 25/3*l**2 + 10/3*l + 5*l**a = 0 for l.
-1, 0, 2
Let z(k) be the first derivative of 5*k**6/66 - 52*k**5/55 + 20*k**4/11 + 16*k**3/3 - 200*k**2/11 + 128*k/11 - 1397. Let z(h) = 0. Calculate h.
-2, 2/5, 2, 8
Let q(u) be the first derivative of u**4/12 + 17*u**3/6 - 19*u**2 - 135*u - 302. Let d(t) be the first derivative of q(t). Factor d(j).
(j - 2)*(j + 19)
Let i = -3251230/13 + 250096. Factor 2/13*d**4 + 22/13*d - i*d**2 - 8/13 + 2/13*d**3.
2*(d - 1)**3*(d + 4)/13
Let i(u) be the second derivative of u**5/270 + 7*u**4/108 - 2*u**3/3 + 10*u**2 + 33*u. Let v(x) be the first derivative of i(x). Find o such that v(o) = 0.
-9, 2
Let k(p) = -2*p**2 + 2*p. Let d(a) = 8*a**2 - 2666*a - 881792. Let n(o) = -2*d(o) - 10*k(o). Determine b, given that n(b) = 0.
-664
Let j(k) be the first derivative of -k**4/22 + 58*k**3/11 + 177*k**2/11 + 178*k/11 + 3261. Let j(q) = 0. Calculate q.
-1, 89
Let g be (8 + 404/(-48))*(-278)/785. Let t = 3/157 + g. Suppose -1/3*b - 2/3*b**4 + 5/6*b**2 - 4/3*b**5 + 5/3*b**3 - t = 0. What is b?
-1, -1/2, 1/2, 1
Let v(i) be the first derivative of i**3/3 + i**2/2 + 157. Let q(z) = -3*z**2 + 7*z - 8. Suppose k - 6*k - 5 = 0. Let g(m) = k*q(m) - v(m). Factor g(h).
2*(h - 2)**2
Let z(b) be the second derivative of -1/2*b**2 + 1/12*b**4 + 4*b + 0 + 1/6*b**3. Let o(j) = 10*j**2 + 5*j - 10. Let d(y) = -o(y) + 5*z(y). Factor d(u).
-5*(u - 1)*(u + 1)
Factor -1120 + 3620*h - 245*h**4 + 57*h**3 - 5*h**5 + 393*h**3 - 4108*h**2 + 1435*h**3 - 445*h**2 + 418*h**2.
-5*(h - 4)*(h - 1)**3*(h + 56)
Suppose 500*y - 144 = 891 - 35. Solve 0 - 1/3*r**y + 14/3*r = 0.
0, 14
Let n(m) be the second derivative of -m**5/4 - 5*m**4/3 + 55*m**3/6 - 15*m**2 - m + 15. Suppose n(w) = 0. Calculate w.
-6, 1
Let p(s) be the first derivative of -48*s**2 - 2304*s - 1/3*s**3 - 15. Factor p(b).
-(b + 48)**2
Let r(s) be the first derivative of s**8/10080 - s**7/720 + s**6/270 + s**5/45 - 79*s**3 + 36. Let t(z) be the third derivative of r(z). Factor t(k).
k*(k - 4)**2*(k + 1)/6
Suppose 35*w - 11352 = 4608. Let k = w + -454. What is s in -k*s - 1/4*s**2 + 0 = 0?
-8, 0
Let g be 3 + 4 + (27 - 17) + -14 + 2. Find y, given that -1/3*y**g + 6*y**3 - 81 - 27*y + 18*y**2 - y**4 = 0.
-3, 3
Let x be 7/(-1) - (-142)/(-28)*-8. Let w = 1196/35 - x. Factor -w*n**5 - 3/5*n + 6/5*n**3 - 6/5*n**2 + 3/5 + 3/5*n**4.
-3*(n - 1)**3*(n + 1)**2/5
Let q(u) = -12*u**4 + 230*u**3 + 697*u**2 + 711*u + 231. Let d(n) = 2*n**4 + n**2 - n + 1. Let s(r) = -10*d(r) - 2*q(r). Find i, given that s(i) = 0.
-1, 118
Let v(s) = 1 + 0 + 6 - 2*s - 3. Let h be v(0). Factor 2*x**2 + 2*x + x + 0*x**2 + 2*x**h - 4 + 3*x - 6*x**3.
2*(x - 2)*(x - 1)**2*(x + 1)
Let p(v) = -12*v**2 - 30*v + 201. Let g(b) = 12*b**2 + 31*b - 205. Let m(u) = -3*g(u) - 4*p(u). Factor m(y).
3*(y - 3)*(4*y + 21)
Let n(p) be the first derivative of 43 + 0*p + 1/8*p**4 + 7/30*p**5 + 0*p**2 - 2/9*p**3. Find t such that n(t) = 0.
-1, 0, 4/7
Let q(f) = -118*f + 251. Let j be q(12). Let l = j - -1167. Factor 3/8*k - 3/8*k**l + 0.
-3*k*(k - 1)/8
Let i(x) be the third derivative of x**6/600 + x**5/60 + x**4/30 - 43*x**2 + 3*x + 11. Factor i(o).
o*(o + 1)*(o + 4)/5
Let y(g) be the first derivative of -35/6*g**3 + 9*g + 5/6*g**4 + 1/4*g**5 + 10*g**2 + 42. Let i(s) be the first derivative of y(s). Factor i(h).
5*(h - 1)**2*(h + 4)
Let -6/7*a**3 + 12/7*a**2 + 1/7*a**4 + 3/7 - 10/7*a = 0. What is a?
1, 3
Determine n so that -12*n + 17*n - 3*n**2 - 318*n + 837 - 65*n - 456*n = 0.
-279, 1
Let c(p) be the first derivative of -2*p**3/3 + 13*p**2 - 84*p + 1315. Find h, given that c(h) = 0.
6, 7
Let m(j) be the third derivative of j**5/360 + 271*j**4/144 - 68*j**3/9 - 7142*j**2. Factor m(b).
(b - 1)*(b + 272)/6
What is j in 873/2*j**2 - 3/2*j**3 - 31536*j - 31974 = 0?
-1, 146
Let m = -135 + 154. Factor -64 + m*q**4 - 352*q - 368*q**2 - 184*q**3 - 64 - 24*q**4 - 39*q**4 - 4*q**5.
-4*(q + 1)*(q + 2)**3*(q + 4)
Let s(w) be the second derivative of w**5/150 + 1559*w**4/30 + 2430481*w**3/15 + 3789119879*w**2/15 + 5609*w. Factor s(v).
2*(v + 1559)**3/15
Let g(w) = -4*w + 7*w + 9 - 4*w. Let c be g(6). Suppose -5*d**3 + 21*d**2 - 8*d + 15*d**2 - 11*d**c = 0. Calculate d.
0, 1/4, 2
Let v be (-54)/(-5) - 4066/10165. Suppose -168/5*x**2 + v*x**3 - 58/5 + 172/5*x + 2/5*x**4 = 0. Calculate x.
-29, 1
Let u(l) be the first derivative of l**5/270 + 29*l**4/54 + 841*l**3/27 - 13*l**2/2 - 50. Let q(z) be the second derivative of u(z). Factor q(m).
2*(m + 29)**2/9
Let a be 28/20 + (-7380)/75. Let s be ((-6)/(-4))/(a/(-97)). Suppose 15/8*d**2 + 3/8*d**3 + s + 3*d = 0. Calculate d.
-2, -1
Let f be (-12 + 12)/(-5 + 3). Let j be 22 + -23 + f + 51/15. Factor 0*x**2 + j*x**3 - 6/5 - 12/5*x + 6/5*x**4.
6*(x - 1)*(x + 1)**3/5
Let p be 14295/75 - 6/10. Suppose 0 = 4*s + 20, 185*a = p*a + 3*s. Suppose 27/2*g**4 - 3*g**5 - a*g + 0 + 27/2*g**2 - 21*g**3 = 0. What is g?
0, 1/2, 1, 2
Find k such that -118*k**2 + 13151*k + 32*k**2 - 13063*k - 2*k**3 = 0.
-44, 0, 1
Let d(n) be the first derivative of n**3/3 - 1619*n**2 + 2621161*n + 3169. Find l, given that d(l) = 0.
1619
Factor -462 - 32*a**2 - 299 + 234 + 319*a - 30*a**3 + 233*a - 2*a**4 - 177.
-2*(a - 2)**2*(a + 8)*(a + 11)
Let c(n) be the second derivative of 0 - n**2 - 65*n + 11/18*n**3 - 1/12*n**4. Determine q, given that c(q) = 0.
2/3, 3
Let r = 697 - 1412. Let g = r + 715. Factor 1/4*a**3 + 1/4*a**2 + 0 + g*a.
a**2*(a + 1)/4
Let i(y) be the third derivative of 0*y**5 + 0*y**4 - 1/690*y**6 - 1/805*y**7 + 0*y + 0 - 1/3864*y**8 + 0*y**3 + 45*y**2. Factor i(f).
-2*f**3*(f + 1)*(f + 2)/23
Suppose 5*t**2 - t**3 + 0*t**2 - 18*t - 8*t**2 + 5*t**3 - 3*t**3 = 0. What is t?
-3, 0, 6
Let z(g) be the first derivative of -3*g**4/4 + 111*g**3 - 327*g**2 + 3617. Determine x so that z(x) = 0.
0, 2, 109
Let l(o) = 2*o**2 - 19*o - 77. Let s be l(-5). Let w be -1 + 13 + s + -78. Solve 160 - 1080*z + 2430*z**w - 3645/2*z**3 = 0.
4/9
Let r(p) be the second derivative of -p**6/24 + p**5/12 + 25*p**4/24 + 73*p**3/3 + 3*p - 1. Let c(d) be the second derivative of r(d). Solve c(n) = 0.
-1, 5/3
Let y(f) be the third derivative of -f**6/6 + 5*f**5/12 + 5*f**4/4 - 5*f**2 - 18*f. Factor y(r).
-5*r*(r - 2)*(4*r + 3)
Let h(s) be the second derivative of s**7/16380 - s**6/234 + 5*s**5/39 - s**4/2 - s**3/2 + 11*s. Let z(x) be the third derivative of h(x). Factor z(j).
2*(j - 10)**2/13
Suppose -i = -56 + 47. Let q be (-6)/i + ((-561)/(-36))/11. Solve 9/4 + 3*a + q*a**2 = 0 for a.
-3, -1
Let r = 3/21404 - -6688/5351. Suppose 0*k + 7/4*k**4 + r*k**2 + 0 + 11/4*k**3 + 1/4*k**5 = 0. What is k?
-5, -1, 0
Let v = -56 + 27. Let z = v + 31. Factor 21*b**3 - 4*b**z - 11*b**3 - b**2 - 5*b**3.
5*b**2*(b - 1)
Let x(q) be the second derivative of q**4/102 - 38*q**3/17 + 113*q**2/17 - 515*q + 2. Factor x(d).
2*(d - 113)*(d - 1)/17
Let z = 128/403 + 17239/2821. Factor -1/7*c**3 + 162/7 - 16/7*c**2 - z*c.
-(c - 2)*(c + 9)**2/7
Let q(i) = 4*i - 11*i + 3 + 2*i + 6*i. Let v be q(-3). Factor w**4 + 4*w**3 + 0 + w - w**2 + v - 5*w**3.
w*(w - 1)**2*(w + 1)
Let l(s) be the second derivative of -2*s**7/21 + 14*s**6/5 + 121*s**5/5 + 227*s**4/3 + 120*s**3 + 104*s**2 - 4*s + 680. Factor l(t).
-4*(t - 26)*(t + 1)**3*(t + 2)
Let p = -43 + 43. Let m(n) be the first derivative of -19 - 1/4*n**4 - 2*n**2 - 4/3*n**3 + p*n. Factor m(w).
-w*(w + 2)**2
Suppose 0 = 6*h - 131 + 113. Let o be h*(1 + -5 + 4 + 1). Factor 2/7 - 2/7*t**2 + 2/7*t**o - 2/7*t.
2*(t - 1)**2*(t + 1)/7
Let t(n) be the first derivative of -2/3*n**3 + 1/6*n**6 - 4/5*n**5 + 5/4*n**4 - 54 + 0*n**2 + 0*n. Factor t(p).
p**2*(p - 2)*(p - 1)**2
Let o(b) = 12*b**2 + 28*b + 20. Let v(m) = -2 - 8*m**2 - 10*m**2 + 10*m - 9*m + 20*m**2. Let t(d) = o(d) + 4*v(d). Solve t(c) = 0.
-1, -3/5
Factor 5 - 1/5*w**3 - 3*w - 9/5*w**2.
-(w - 1)*(w + 5)**2/5
Solve 196/3*q**2 + 2/3*q**3 + 0*q + 0 = 0.
-98, 0
Let o = 2862 + -2862. Let x(h) be the first derivative of -19 - h**3 + o*h + 0*h**2 + 3/4*h**4. What is t in x(t) = 0?
0, 1
Factor -16*c**3 + 4900 + 19*c**3 + 3532*c - 70*c**3 + 1820*c - 1011*c**2 - c**4 - 1397*c.
-(c - 4)*(c + 1)*(c + 35)**2
Factor -3/7*t**2 + 198/7 - 195/7*t.
-3*(t - 1)*(t + 66)/7
Let c(d) = d**2 - 3*d - 5. Let y be c(0). Let v(r) = -7*r - 27. Let z be 