 be the second derivative of c**5/2 - 205*c**4/12 - 35*c**3/2 + 550*c. Determine m so that l(m) = 0.
-1/2, 0, 21
Let q be (-923468)/(-1290) - (-2)/(-10). Let t = q + -715. Solve t*c - 1/3*c**2 - 1/3 = 0 for c.
1
Let z be 4/10*(-5)/(-9)*9. Factor 11*t**2 - 10 + 15*t - 8*t**2 - 5*t**z - 3*t.
-2*(t - 5)*(t - 1)
Let d(k) be the third derivative of -k**7/1260 - k**6/40 - 2*k**5/15 - k**4/8 - k**3/2 - 50*k**2. Let y(q) be the second derivative of d(q). Factor y(w).
-2*(w + 1)*(w + 8)
Let h = 3877/51 + -41933/561. Let l = 25 + -25. Determine b, given that l + 6/11*b**2 + 0*b + h*b**3 = 0.
-3/7, 0
Suppose 162/5*p**2 + 48/5*p**5 - 3453/5*p**3 + 2232/5*p**4 + 867/5*p + 144/5 = 0. What is p?
-48, -1/4, 1
Factor 512/5*v**2 + 0 - 2/5*v**3 + 514/5*v.
-2*v*(v - 257)*(v + 1)/5
Find c, given that -43/3*c**2 - 11/3*c**4 + 10/3*c + 0 - 64/3*c**3 = 0.
-5, -1, 0, 2/11
Find c such that -35/4*c**4 + 575/2*c + 0 - 1085/4*c**2 + 1/4*c**5 + 321/4*c**3 = 0.
0, 2, 5, 23
Let v be (3 + 11/(-3))/((-3)/27). Factor 23*n**2 - 20*n**2 - v*n - 7 + 3 + n**3 - 4.
(n - 2)*(n + 1)*(n + 4)
Let c(w) = 21*w - 26. Let n be c(4). Suppose -9 = -n*o + 57*o. Find d such that -5*d - 2*d**4 - 10*d + 3*d**3 - 2 + 8 - d**4 + o*d**2 = 0.
-2, 1
Let y(p) = p**3 + 13*p**2 - 15*p - 24. Let j be y(-14). Let m be (8 - 288/42)/(j/(-14)). Let 8/5*w + 2/5 + m*w**3 + 2/5*w**4 + 12/5*w**2 = 0. What is w?
-1
Let i be 1*2/10*((-45)/60 + 1). Let z(x) be the third derivative of i*x**5 + 0 - 1/4*x**4 + 38*x**2 + 0*x**3 + 0*x. Suppose z(b) = 0. What is b?
0, 2
Let g(s) be the second derivative of -31 - s - 4*s**3 + 9/2*s**2 - 1/10*s**6 + 0*s**5 + 3/2*s**4. Factor g(r).
-3*(r - 1)**3*(r + 3)
Factor 16/9 + 1/9*h**2 - 2/3*h**3 + 1/9*h**4 + 8/3*h.
(h - 4)**2*(h + 1)**2/9
Factor -29/6*d**2 + 9/2*d**3 + 1/6*d**4 + 14/3 - 9/2*d.
(d - 1)**2*(d + 1)*(d + 28)/6
Solve 11988 + 2*j**2 - 12163 + 22675 + 300*j - j**2 = 0.
-150
Let l(i) be the first derivative of -i**7/840 - i**6/45 - i**5/8 - 179*i**3/3 - 74. Let g(t) be the third derivative of l(t). Factor g(j).
-j*(j + 3)*(j + 5)
Let j = -313 - -334. Factor 0*p**3 + 27 + j*p**2 - 1399*p - p**3 - 2*p**3 + 1354*p.
-3*(p - 3)**2*(p - 1)
Let w(q) = -6*q - 19*q + 14 + 15*q + 2*q + q**2. Let k be w(6). Solve -2/15*g**3 - 2/15 + 2/15*g + 2/15*g**k = 0 for g.
-1, 1
Suppose -784/3*x + 260 + 4/3*x**2 = 0. Calculate x.
1, 195
Let h be (-3)/((3300/250)/(-22)). Determine j, given that 0 + 2/7*j**3 - 2/7*j**h + 4/7*j**2 - 4/7*j**4 + 0*j = 0.
-2, -1, 0, 1
Let w = -46 - -70. Suppose -3*h = -15*h + w. Factor h*x**2 + 4*x**5 + 2*x**5 - 7*x**5 + 4*x**4 - 5*x**3.
-x**2*(x - 2)*(x - 1)**2
Let q be (209/(-55) + 5)/(-4 - (-44)/(-40)*-4). Solve -1/3*s**5 - 4*s**4 + 60*s - 41/3*s**q - 2/3*s**2 + 200/3 = 0 for s.
-5, -2, 2
Let y(m) be the first derivative of m**6/15 + 2*m**5/5 + m**4/2 - 2*m**3/3 - 6*m**2/5 - 624. Suppose y(r) = 0. What is r?
-3, -2, -1, 0, 1
Let w(c) be the first derivative of 3*c**4/16 - 15*c**3 + 1575*c**2/8 - 1875*c/2 + 1160. Factor w(g).
3*(g - 50)*(g - 5)**2/4
Let r = 73228/15285 - -28/3057. Factor 36/5*g**2 - 8/5*g**3 + r*g - 4.
-4*(g - 5)*(g + 1)*(2*g - 1)/5
Let w(f) be the third derivative of f**5/180 + 2317*f**4/36 + 5368489*f**3/18 + 11064*f**2. Factor w(y).
(y + 2317)**2/3
Let w(k) be the second derivative of 4/5*k**5 + 17*k + 1/15*k**6 + 0 - 50/3*k**3 + 5/6*k**4 + 0*k**2. Solve w(z) = 0 for z.
-5, 0, 2
Suppose -52 + 69/5*d - 1/5*d**2 = 0. Calculate d.
4, 65
Let t(y) be the third derivative of 1/24*y**6 + 1/42*y**7 - 1/4*y**5 + 0 - 5/24*y**4 + 0*y + 5/3*y**3 - 7*y**2. Determine i so that t(i) = 0.
-2, -1, 1
Let o = -29 + 33. Suppose -3*k + o*h - 4 - 2 = 0, -4*h = -12. Find d, given that -13*d + 18*d**k - 7*d - 13*d**2 = 0.
0, 4
Let w be 192/20 - -3*(-15)/5. Let i = -5/76 + 709/380. Let i + w*x**2 - 12/5*x = 0. Calculate x.
1, 3
Factor 0 + 7/2*m**3 + 1/8*m**4 + 0*m + 13/2*m**2.
m**2*(m + 2)*(m + 26)/8
Suppose 0 = h - 2*q + 13, -2*q = -109 + 93. Factor -8/11*b + 10/11*b**2 + 0 - 2/11*b**h.
-2*b*(b - 4)*(b - 1)/11
Let u(x) = 95*x + 667. Let l be u(-7). Let t(p) be the first derivative of 4/7*p**l - 8 - 6/7*p - 2/21*p**3. Determine m so that t(m) = 0.
1, 3
Factor 8*v**4 - 35/2*v**2 + 0 - 3*v - 13/2*v**3.
v*(v - 2)*(v + 1)*(16*v + 3)/2
Let a(g) = -g**2 + 6*g + 7. Let f(w) = 6*w**2 - 35*w - 41. Suppose -2*i - 3*i = 4*u - 126, -44 = -u + 5*i. Let r(s) = u*a(s) + 6*f(s). Factor r(k).
2*(k - 4)*(k + 1)
Solve 3*a + 15/4 - 3/4*a**2 = 0.
-1, 5
Let f = -1572 - -1575. Let h(d) be the second derivative of d**2 - 1/4*d**f - 1/24*d**4 - 14*d + 0. Determine i so that h(i) = 0.
-4, 1
Factor 705600/13 - 26880*s - 2/13*s**3 - 1676/13*s**2.
-2*(s - 2)*(s + 420)**2/13
Suppose 14*f + 196 = 0, 2*f + 67 = -u - f - 2*f. Determine z so that -2/5*z**4 - 2/5*z**u - 288/5*z + 0 + 112/5*z**2 = 0.
-9, 0, 4
Let p(x) be the third derivative of 2*x**5/315 + 61*x**4/84 - 187*x**3/63 - x**2 - 65*x + 3. Factor p(o).
2*(o - 1)*(4*o + 187)/21
Let m(v) = -8*v**2 - 4438*v + 9. Let s(r) = -2*r**2 - 1144*r + 2. Let y(u) = -2*m(u) + 9*s(u). Factor y(x).
-2*x*(x + 710)
Let d(q) be the second derivative of 2*q**6/75 + 4*q**5/5 - 79*q**4/5 + 272*q**3/3 - 928*q**2/5 + 445*q. Suppose d(c) = 0. Calculate c.
-29, 1, 4
Let x be ((-11688)/2435)/(33/(-5)). Let 0 + 0*z + x*z**2 + 32/11*z**4 + 34/11*z**3 + 6/11*z**5 = 0. Calculate z.
-4, -1, -1/3, 0
Let y = -1987 + 2005. Suppose 0 = 13*r - 44 + y. Let 57*n**r - 3/2*n**5 - 48 + 3/2*n**3 - 9*n**4 + 0*n = 0. Calculate n.
-4, -1, 1, 2
Let l(c) be the second derivative of c**4/96 - 629*c**3/24 + 395641*c**2/16 - 2*c - 1064. Factor l(w).
(w - 629)**2/8
Suppose 0 = 4*w + 4*b - 8, -8*w + 5*w = -2*b - 11. Factor -14*s**2 - 14766*s**3 + 91 + 14768*s**w - 19.
2*(s - 6)*(s - 3)*(s + 2)
Solve -436 - 25*i**2 + 464 - 26*i**2 - 18*i - 2*i**5 + 11*i**2 + 20*i**3 + 12*i**4 = 0 for i.
-2, -1, 1, 7
Let s(r) = -8*r**2 - 123*r - 214. Let p be s(-2). Suppose 1/10*v**4 - 1/10*v**3 - 1/10*v**2 + p + 1/10*v = 0. Calculate v.
-1, 0, 1
Let s(d) be the first derivative of -4/5*d**4 - 83 + 2/15*d**6 + 0*d + 0*d**2 - 12/25*d**5 + 16/5*d**3. Solve s(i) = 0.
-2, 0, 2, 3
Let c(b) be the third derivative of -b**6/30 - 236*b**5/15 + 475*b**4/6 - 476*b**3/3 + 893*b**2. Find u, given that c(u) = 0.
-238, 1
Let l(r) be the second derivative of -131/2*r**3 - 121 - r - 81/4*r**4 - 27/20*r**5 - 90*r**2 + 1/10*r**6. Factor l(p).
3*(p - 15)*(p + 1)**2*(p + 4)
Let p(q) be the first derivative of -326*q**3/3 + 19*q**2 - 3*q - 39. Let i(z) = -327*z**2 + 39*z - 4. Let f(x) = 2*i(x) - 3*p(x). Solve f(l) = 0.
1/18
Let a be -1*(-3)/(18/30). Suppose 0 = 11*t - 10*t - 32. Determine w so that t*w**4 - 16*w - 12*w**a + 2*w**3 + 34*w**3 - 8*w**5 - 32*w**2 = 0.
-1, -2/5, 0, 1, 2
Let v(p) = 2*p**3 + 53*p**2 + 279*p + 6. Let g(w) = -6*w**3 - 160*w**2 - 846*w - 20. Let l(r) = 3*g(r) + 10*v(r). Factor l(i).
2*i*(i + 7)*(i + 18)
Let c(q) = q**3 - 14*q**2 - 15*q + 3. Let k be c(15). Find t such that 9*t - 12*t**2 - t + t**3 + 3*t**k = 0.
0, 1, 2
Let z(u) = -5*u**4 + 42*u**3 + 10*u**2 - 357*u - 326. Let d(l) = -10*l**4 + 83*l**3 + 20*l**2 - 713*l - 654. Let b(a) = 3*d(a) - 7*z(a). What is m in b(m) = 0?
-2, -1, 4, 8
Let d = 560 + -558. Determine u so that 2*u**2 - 3*u**2 + 13*u + d - 42 - 4*u**2 + 4*u**2 = 0.
5, 8
Let z(w) be the second derivative of w**6/10 + 111*w**5/20 - 39*w**4/4 - 37*w**3/2 + 57*w**2 + 7*w - 236. Factor z(i).
3*(i - 1)**2*(i + 1)*(i + 38)
Let -1/3*m**4 + 10/9 + 7/9*m - 19/9*m**3 - 19/9*m**2 = 0. Calculate m.
-5, -1, 2/3
Find t, given that -1/6*t**5 - 125/6*t**3 + 0 - 22/3*t**4 - 41/3*t**2 + 0*t = 0.
-41, -2, -1, 0
Suppose -497 + 788 - 477 = -2*u - 91*u. Suppose 19/5*r - 4 + 1/5*r**u = 0. What is r?
-20, 1
Let c(i) be the third derivative of -i**6/900 + 13*i**5/450 + 7*i**4/15 + 12*i**3/5 - 293*i**2 + 1. Let c(f) = 0. Calculate f.
-3, -2, 18
Let i(w) = -7*w**3 + w**2 - w. Let h(q) = 29*q**3 - 45*q**2 - 33*q + 84. Let x(d) = -2*h(d) - 10*i(d). Determine n so that x(n) = 0.
-14/3, -3, 1
Let h(i) be the third derivative of 1/40*i**6 + 0*i**3 - 1/36*i**4 + 63*i**2 - 17/180*i**5 + 0 + 0*i. Factor h(g).
g*(g - 2)*(9*g + 1)/3
Let h(j) be the second derivative of -1/90*j**6 + 0*j**2 + 1/5*j**5 - 11/6*j**3 - 26*j + 0 - 4/3*j**4. Let k(q) be the second derivative of h(q). Factor k(u).
-4*(u - 4)*(u - 2)
Let a(q) = -q - 24. Le