l(c) be the first derivative of 19 + 0*c + s*c**5 + 1/13*c**2 - 2/39*c**3 - 1/26*c**4. Find b, given that l(b) = 0.
-1, 0, 1
Let h(m) = -5*m**2 - 29 - 32692*m**3 - 17*m**2 - 20 + 32704*m**3 - 85*m - 2*m**4. Let b(q) = -q**4 - q. Let s(x) = 4*b(x) - 4*h(x). Solve s(k) = 0 for k.
-1, 7
Let r(j) = j**4 + j**3 - 9*j**2 - j - 3. Let c(q) = -7*q**4 - 23*q**3 + 73*q**2 + 65*q + 27. Let t(n) = 2*c(n) + 18*r(n). Factor t(x).
4*x*(x - 7)*(x - 2)*(x + 2)
Let x(a) be the second derivative of a**3/6 + 83*a. Let q(b) = 4*b**2 - 18*b + 16. Let f(w) = -q(w) - 2*x(w). Suppose f(l) = 0. What is l?
2
Let s(i) be the second derivative of -i**6/15 + 128*i**5/5 + 521*i**4/2 + 786*i**3 - 242*i. Factor s(h).
-2*h*(h - 262)*(h + 3)**2
Let d(k) be the first derivative of -4*k**5/35 - 5*k**4 - 1612*k**3/21 - 3042*k**2/7 - 3106. Suppose d(l) = 0. Calculate l.
-13, -9, 0
Let q(w) = 2*w**2 + 26*w - 26. Let z be q(-14). Factor 42*n - 13 + 36 + 7 - 15*n - 3*n**z.
-3*(n - 10)*(n + 1)
Let j be (-1450)/3625 - (-38)/70 - 326/(-70). Find n, given that j - 4/5*n**3 + 24/5*n**2 - 44/5*n = 0.
1, 2, 3
Let v(p) be the third derivative of 952*p**6/15 - 312*p**5/5 + 37*p**4/2 + 2*p**3/3 + 2*p**2 + 2511*p. Factor v(o).
4*(4*o - 1)**2*(119*o + 1)
Let r(m) = -m**3 + 20*m**2 + 8*m. Let p be r(0). Factor -42/19*h + p + 40/19*h**2 + 2/19*h**3.
2*h*(h - 1)*(h + 21)/19
Let m(o) be the second derivative of o**8/672 - o**7/420 - o**6/60 + o**5/30 + 33*o**2/2 - 92*o + 1. Let x(z) be the first derivative of m(z). Factor x(l).
l**2*(l - 2)*(l - 1)*(l + 2)/2
Suppose 10*v - 20*v + 330 = 0. Factor 28*i - 2*i**3 - 11*i**2 - 36 + 9*i + v*i - 21*i**2.
-2*(i - 1)**2*(i + 18)
Let w(d) be the first derivative of 2/3*d**3 - 185 - 42*d - 20*d**2. Determine g so that w(g) = 0.
-1, 21
Suppose 0 = -5*q - 3*r + 52, -44943*r + 48 = 8*q - 44947*r. Solve -1/4*t**3 + q*t + 5/4*t**2 + 9 = 0 for t.
-2, 9
Suppose 2*f + 8 = 3*f. Suppose -f*h = -6*h. Let 12*z**3 - 4*z**4 + 0 + 0*z + 4*z**2 - 4*z - 8*z**5 + h = 0. Calculate z.
-1, 0, 1/2, 1
Let h(w) be the first derivative of -6/17*w**2 - 2/51*w**3 + 216 + 80/17*w. Suppose h(a) = 0. Calculate a.
-10, 4
Factor 138/7*y**2 + 54 - 513/7*y - 3/7*y**3.
-3*(y - 42)*(y - 3)*(y - 1)/7
Let h(y) be the first derivative of y**3/12 - 3*y**2/4 - 55*y/4 + 143. Factor h(o).
(o - 11)*(o + 5)/4
Let m(j) be the first derivative of j**6/216 + j**5/180 + 34*j**3/3 - 15. Let r(z) be the third derivative of m(z). Solve r(i) = 0 for i.
-2/5, 0
Factor -1308*x**2 + 5*x**4 + 0*x**4 + 4043 - 482*x**2 + 585*x**3 - 4043 + 1200*x.
5*x*(x - 2)*(x - 1)*(x + 120)
Let t(f) = 52*f**3 - 1256*f**2 + 10112*f - 14944. Let i(d) = -8*d**3 + 193*d**2 - 1556*d + 2299. Let g(a) = -32*i(a) - 5*t(a). Factor g(u).
-4*(u - 12)**2*(u - 2)
Let w(o) = 4*o**2 + o. Let t be w(-1). What is y in 1223 - 76*y**2 - y**t + 5*y**3 - 1147 - 4*y = 0?
-1, 1, 19
Let a = 1623 + -1090655/672. Let i(j) be the third derivative of 0 + 0*j + 0*j**4 + 0*j**3 + 7*j**2 + a*j**8 - 1/210*j**7 + 0*j**5 + 1/240*j**6. Factor i(n).
n**3*(n - 1)**2/2
Let h(x) be the first derivative of 1/2*x**4 - 5*x**2 - 8/3*x**3 - 44 + 0*x. Solve h(k) = 0.
-1, 0, 5
Factor 124/3*b**2 - 256/3 + 4/3*b**3 - 136/3*b.
4*(b - 2)*(b + 1)*(b + 32)/3
Let c(z) = -17*z**3 - 7476*z**2 + 6*z + 7476. Let b(o) = 6*o**3 + 2492*o**2 - 2*o - 2492. Let a(m) = -11*b(m) - 4*c(m). Solve a(j) = 0 for j.
-1246, -1, 1
Let s = 49959 - 49959. Suppose -12/7*m**2 + s*m**3 + 16/7*m + 2/7*m**4 - 6/7 = 0. What is m?
-3, 1
Let c(g) be the first derivative of -2*g**3/15 + 29*g**2/5 - 336*g/5 + 2248. Suppose c(v) = 0. Calculate v.
8, 21
Suppose 6*u - 14 = -y, -2*u + 59 = -5*y + 65. Find t such that 0 - 2/7*t**3 + 0*t + 4/7*t**4 - 4/7*t**y + 2/7*t**5 = 0.
-2, -1, 0, 1
Let j be 24/(-5)*(-40)/(-12). Let l be -1 - 1 - 7/(28/j). Solve -19 + 9 + 6 + 2*v**2 + l*v**2 = 0.
-1, 1
Suppose -81 = 101*g + 39*g - 361. Let 0 + 36/11*t**3 - 30/11*t**g - 6/11*t = 0. Calculate t.
-1/6, 0, 1
Let s = 18542/5835 - -26/1167. Suppose 16*l**4 + 16/5*l**5 - 56/5*l**2 - 28/5*l + 52/5*l**3 + s = 0. Calculate l.
-4, -1, 1/2
Suppose -t + 2 + 1 = 0. Factor -24*d**2 - 129*d**2 - 14739 - 2715*d - 10*d**t + 7*d**3 + 114*d.
-3*(d + 17)**3
Let i(r) be the first derivative of -5*r**6/6 + 6*r**5 - 55*r**4/4 + 10*r**3 - 3444. Suppose i(o) = 0. What is o?
0, 1, 2, 3
Let x = 198461/43135 + -8/8627. Suppose -x*h + 1/5*h**2 - 24/5 = 0. What is h?
-1, 24
Let f(s) = -s**2 - 10. Let q(w) = -5*w**2 + 27*w + 10. Let z(i) = 2*f(i) - q(i). Find d such that z(d) = 0.
-1, 10
Let h = 347 + -348. Let w be ((-270)/(-450))/(h/(10/(-3))). Find n such that 0*n - 4/3*n**3 + 0 - 2/3*n**4 - 2/3*n**w = 0.
-1, 0
Let w = 6674 + -6671. Let b(z) be the first derivative of -3*z**3 + 2*z**6 + 0*z + w*z**5 + 0*z**2 - 3/2*z**4 + 10. Solve b(r) = 0.
-1, 0, 3/4
Let k be (33 + 4230/(-126))/(2 + 32/(-14)). Factor 10/11 - 18/11*a + 8/11*a**k.
2*(a - 1)*(4*a - 5)/11
Factor 3/4*m**2 - 1431/2 + 2859/4*m.
3*(m - 1)*(m + 954)/4
Let j be -22 + 18 + 1614/1. Let v be j/100 - (-1)/(-10). Factor 7*k**4 - 16*k**2 + v + 2 + 12*k**3 - 12*k - 9*k**4.
-2*(k - 3)**2*(k - 1)*(k + 1)
Let q = -4807 + 4807. Let n(h) be the third derivative of -1/33*h**4 + 4/33*h**3 + q*h - 5*h**2 + 1/330*h**5 + 0. Factor n(v).
2*(v - 2)**2/11
Let t(d) be the third derivative of 1/200*d**6 - 149*d**2 - 1/10*d**4 + 0*d - 1/50*d**5 + 4/5*d**3 - 1. Factor t(u).
3*(u - 2)**2*(u + 2)/5
Solve -18468*v**2 - 3/2*v**4 + 0 - 675/2*v**3 + 58482*v = 0.
-114, 0, 3
Let q(l) = -19 - 175*l**2 - 28 + l**3 - 22*l + 193*l**2. Let k be q(-19). Let 6*d**4 + 3*d**5 + k*d - 30*d**2 + 24 - 3*d - 15*d**3 + 5*d = 0. Calculate d.
-2, -1, 1, 2
Factor -2/3*k**3 + 50/3*k**2 - 350/3*k + 250.
-2*(k - 15)*(k - 5)**2/3
Let h(l) be the second derivative of 2*l**7/1155 - l**6/660 - l**5/330 - 29*l**2/2 - 2*l - 28. Let r(x) be the first derivative of h(x). Solve r(t) = 0 for t.
-1/2, 0, 1
Suppose -16/7 - 6/7*l**5 + 10/7*l**3 - 60/7*l**2 + 16/7*l**4 + 8*l = 0. Calculate l.
-2, 2/3, 1, 2
Let o(s) be the first derivative of -49*s**6/960 + 7*s**5/5 - 16*s**4 - 83*s**3 + 206. Let f(y) be the third derivative of o(y). Factor f(q).
-3*(7*q - 32)**2/8
Let d(u) = 5*u + u**2 - 4*u**2 + 2 + 2*u**2. Let x(g) = 43*g**2 - 120*g**2 - 3 + 40*g**2 - 5*g + 39*g**2. Let z(f) = 3*d(f) + 2*x(f). Factor z(c).
c*(c + 5)
Let c(j) be the first derivative of j**3/9 - 5*j**2/3 + 8*j - 648. Factor c(v).
(v - 6)*(v - 4)/3
Let s(b) = -55*b**2 + 275*b + 274. Let h(k) = -69*k**2 + 275*k + 274. Let j(t) = 4*h(t) - 5*s(t). Suppose j(z) = 0. Calculate z.
-274, -1
Let f be (4/(-3))/((-4)/27). Suppose 248 = f*q - 220. Factor 268*d**2 + q*d + 91*d**3 + 84*d + 686*d**5 - 784*d**4 - 413*d**3 + 16.
2*(d - 1)**2*(7*d + 2)**3
Let -1005 + 4*a**4 - a**5 + 6*a**3 - 4*a**2 + 503 - 5*a + 502 + 0*a = 0. What is a?
-1, 0, 1, 5
Suppose 16*i = 52 + 92. Let w be (i/(-2))/3*296/(-222). Factor 7*s + 49/2 + 1/2*s**w.
(s + 7)**2/2
Let p(d) be the second derivative of d**6/15 + 73*d**5 + 44651*d**4/2 + 265720*d**3/3 + 132496*d**2 - 808*d. Suppose p(g) = 0. What is g?
-364, -1
Suppose 2*h = 3*l - 41, 33*l + 3*h = 37*l - 54. Let m(i) be the second derivative of 0 + 0*i**2 - l*i - 1/8*i**4 - 1/2*i**3. Factor m(b).
-3*b*(b + 2)/2
Let k(h) be the third derivative of -h**7/105 + 41*h**6/60 - 39*h**5/10 + 115*h**4/12 - 38*h**3/3 - 6*h**2 - 47. Let k(n) = 0. Calculate n.
1, 38
Let f be 1/(-2 + (-116)/(-56)). Suppose -2 + f = -4*h, -2*h + 6 = 4*q. Find n such that 1/4*n**5 + 1/4*n**q - 3/4*n**4 + 3/4*n**2 + 0 - 1/2*n = 0.
-1, 0, 1, 2
Suppose 0 = -6*v + 69 + 75. Suppose 11*x = 15*x - v. Factor -4*f + 2 - 4 + x*f - f + f**2.
(f - 1)*(f + 2)
Let 174 + 746*n - 345 + 164 + 9 + 326 + 18*n**2 = 0. Calculate n.
-41, -4/9
Let w(z) be the second derivative of -5*z**4/2 + 1786*z**3/3 + 597*z**2 + 15*z + 3. Factor w(c).
-2*(3*c + 1)*(5*c - 597)
Let u(q) be the first derivative of q**3 - 6846*q**2 + 15622572*q + 9588. Factor u(v).
3*(v - 2282)**2
Let t(x) be the first derivative of 7/2*x**6 - x**3 + 0*x**2 + 15/4*x**4 + 0*x + 11 + 39/5*x**5. Factor t(i).
3*i**2*(i + 1)**2*(7*i - 1)
Let m be (1767/(-186))/(4/(-1)). Let r = m + -221/120. Find t, given that -8/15*t - r - 2/15*t**2 = 0.
-2
Suppose -j = -6*j - 15, 0 = -5*g - 2*j + 44. Factor -606*t + g*t**2 + 12 + 10*t**2 + 542*t.
4*(t - 3)*(5*t - 1)
Let h(z) be the first deriva