erivative of x(o). Factor j(q).
5*q*(q - 12)
Let o be -4 - (1898/(-78))/(7 - 1). Let b(s) be the first derivative of 0*s + o*s**3 + 0*s**4 + 0*s**2 - 1/30*s**5 + 11. Determine r, given that b(r) = 0.
-1, 0, 1
Let r(i) be the second derivative of -i**5/60 - 53*i**4/18 - 35*i**3/6 - 6*i + 160. Factor r(v).
-v*(v + 1)*(v + 105)/3
Let t(n) = -2*n**3 + 15*n**2 - 334*n + 774. Let l(q) = -3*q**3 + 34*q**2 - 673*q + 1549. Let z(i) = 6*l(i) - 10*t(i). Factor z(h).
2*(h - 7)*(h - 3)*(h + 37)
Let b = 119 - 103. Find d, given that -16 - 21*d**3 + 44*d**2 + 171*d**4 - 415*d**4 + 32*d - b*d**5 - 31*d**3 + 180*d**4 = 0.
-2, -1, 1/2
Let o(v) be the first derivative of v**9/2268 + v**8/35 + 18*v**7/35 + 20*v**3/3 - v + 92. Let s(c) be the third derivative of o(c). Factor s(b).
4*b**3*(b + 18)**2/3
Let x(r) = -r**2 + 28*r - 171. Let o = -581 - -600. Let k be x(o). Suppose 2/7*z**4 - 2/7*z**2 + 4/7*z + 6/7*z**5 + k - 10/7*z**3 = 0. Calculate z.
-1, 0, 2/3, 1
Let q be 8639/2445 + (2 - 22/6). Solve -q*p**5 + 38/15*p**3 + 4/15 - 2/3*p + 22/15*p**4 - 26/15*p**2 = 0 for p.
-1, -1/2, 2/7, 1
Let k(t) = -7*t**3 - 244*t**2 + 6*t + 6. Let q(u) = u**3 - 22*u**2 - u - 1. Let b(d) = -k(d) - 6*q(d). What is i in b(i) = 0?
-376, 0
Let t(h) be the second derivative of 3 - 27*h + 60*h**2 + 35/12*h**4 - 65/3*h**3. Factor t(l).
5*(l - 2)*(7*l - 12)
Let i be 2 + 3660/140 + (-9 - 14). Determine f so that 2/7*f**5 + 2*f**3 - 20/7*f**4 + i*f**2 + 0*f + 0 = 0.
-1, 0, 2, 9
Let 2036/3*m + 1036324/3 + 1/3*m**2 = 0. Calculate m.
-1018
Let x(h) be the first derivative of 0*h + 0*h**4 + 0*h**2 - 8/3*h**3 + 2/5*h**5 + 149. Factor x(f).
2*f**2*(f - 2)*(f + 2)
Let -118452*w**2 - 206028*w**2 - 22497280*w - 119*w**3 - 539245209 - 1961*w**3 - 45684071 - 5*w**4 = 0. Calculate w.
-104
Let v(h) be the third derivative of h**6/180 + h**5/15 - 8*h**4/3 - 640*h**3/9 - h**2 - 67*h. Let v(t) = 0. What is t?
-8, 10
Let d(f) be the second derivative of -3/10*f**2 + 1/60*f**4 + 0 + 1/15*f**3 - 50*f. Suppose d(h) = 0. Calculate h.
-3, 1
Let m(t) be the first derivative of t**8/2940 - t**7/490 + 2*t**5/105 + 23*t**3 + 23. Let c(s) be the third derivative of m(s). Factor c(l).
4*l*(l - 2)**2*(l + 1)/7
Let y(p) be the second derivative of 5/6*p**4 + 46*p + 14/9*p**3 + 4/3*p**2 + 3/20*p**5 + 0. Let y(j) = 0. What is j?
-2, -2/3
Factor 0 - 104*a - 1/2*a**2.
-a*(a + 208)/2
Let q(z) be the third derivative of -z**8/36960 + z**6/1320 + z**5/330 + 29*z**4/6 + 146*z**2. Let x(j) be the second derivative of q(j). Factor x(v).
-2*(v - 2)*(v + 1)**2/11
Factor -62*w**2 - 1415 - 65*w**2 - 1420*w - 58*w**2 - 60*w**2 + 240*w**2.
-5*(w + 1)*(w + 283)
Let d(p) be the third derivative of -p**7/630 - 7*p**6/360 + 29*p**5/90 - 4*p**4/9 - 16*p**3/3 - 4785*p**2. Determine h so that d(h) = 0.
-12, -1, 2, 4
Suppose 3*d = -2*h + 8, -5*d + 7*h = 2*h - 30. What is v in -4*v**3 - 31*v**2 + 19*v**2 + 4*v**d + v**3 - 5*v**3 = 0?
-1, 0, 3
Let h(k) be the third derivative of -4*k**5/75 - 287*k**4/30 + 48*k**3/5 - 59*k**2 - 3*k + 14. Let h(g) = 0. Calculate g.
-72, 1/4
Factor 1664*o + 1121*o + 5*o**2 - 2205 - 580*o - 5*o**3.
-5*(o - 21)*(o - 1)*(o + 21)
Suppose 0 = 8*q - 550 + 534. Let c(t) be the first derivative of -2*t - 8/3*t**3 - 4*t**q - 28. Find p, given that c(p) = 0.
-1/2
Let c(w) = -3*w - 69. Let v be c(-23). Solve -144*z + v + 162*z + 20 - 2*z**2 = 0 for z.
-1, 10
Suppose 3*t + 1 = -2*v + 3*v, 0 = -v - t + 13. Let f be v*((-5)/10 + (-14)/(-20)). What is c in 0 + c + 1/4*c**3 - c**f = 0?
0, 2
Factor -2*f**5 - 148*f**2 + 2979*f**3 - 12*f**4 - 2997*f**3 + 140*f**2.
-2*f**2*(f + 1)**2*(f + 4)
Let l be 4*(11/(-4) - -4). Suppose 0 = 5*s + l - 15. Factor 2*b**2 + 0*b**2 - 16 - 4*b**s - 10*b - 2*b.
-2*(b + 2)*(b + 4)
Let x be 0 + (-14)/(-4) + 2/4. Let q(t) = 9 + 5*t - 12 + x. Let w(i) = i**2 - 11*i - 2. Let h(s) = 5*q(s) + 2*w(s). Factor h(j).
(j + 1)*(2*j + 1)
Let k(t) be the first derivative of t**4/2 + 54*t**3 - 426*t**2 + 688*t - 12061. Factor k(x).
2*(x - 4)*(x - 1)*(x + 86)
Let k(z) be the third derivative of z**6/660 + z**5/33 + 3*z**4/44 + z**2 + 99*z - 9. Factor k(n).
2*n*(n + 1)*(n + 9)/11
Let z(q) = -q**2 - 15*q + 50. Let p be z(-22). Let l = -74 - p. Factor 9*y**4 - 36*y**2 + 54*y**3 - 9*y + 9*y**2 + 6 - 27*y**3 - l*y**3.
3*(y - 2)*(y + 1)**2*(3*y - 1)
Suppose 17/6*i**2 + 1/3*i**3 - 3*i - 1/6*i**4 - 12 = 0. What is i?
-3, -2, 3, 4
Let u(p) be the first derivative of 3*p**5/25 + 27*p**4/20 + 7*p**3/5 - 27*p**2/10 - 24*p/5 + 2299. Factor u(x).
3*(x - 1)*(x + 1)**2*(x + 8)/5
Let u = 424 - 281. Solve -2*v**2 + v**2 + 310*v + u*v - 237*v - v**2 - 5832 = 0.
54
Let u(h) be the first derivative of 0*h + 0*h**2 - 1/432*h**6 + 1/144*h**5 + 5/24*h**4 - 5/3*h**3 - 20. Let l(q) be the third derivative of u(q). Factor l(k).
-5*(k - 3)*(k + 2)/6
Suppose 0 - 4/7*o**5 + 46/7*o**4 - 14*o**3 - 18/7*o + 74/7*o**2 = 0. What is o?
0, 1/2, 1, 9
Let x(y) be the third derivative of -y**6/40 - 27*y**5/20 + 273*y**4/8 - 245*y**3/2 - 996*y**2. Let x(z) = 0. Calculate z.
-35, 1, 7
Let g(h) be the first derivative of -2*h**6/3 + 16*h**5/5 - 2*h**4 - 16*h**3/3 + 6*h**2 + 815. Let g(l) = 0. Calculate l.
-1, 0, 1, 3
Suppose 4*r + i = -17, 3*r = -4*i - 3 - 26. Let o be 6 - (r + (-3 - 2) + 12). Let -3*f**4 + 0 - 9/8*f**5 + 3*f**o + 3/2*f - 3/8*f**3 = 0. What is f?
-2, -1, -2/3, 0, 1
Suppose 0 = -y + 5*f + 20 - 2, 0 = -y - 4*f + 63. Suppose y + 23*o + 3*o**2 + 40*o + 2 + 7*o - 22*o = 0. Calculate o.
-15, -1
Let q be 3/((-576)/(-16)) + 179/12. Let v(m) be the second derivative of 0 + 0*m**2 + 1/10*m**5 + 0*m**3 + 0*m**4 - q*m. What is u in v(u) = 0?
0
Let a(w) be the third derivative of -w**6/30 - 37*w**5/120 - w**4/8 + 33*w**3/4 + 444*w**2 + 2*w. Factor a(g).
-(g + 3)**2*(8*g - 11)/2
Suppose 59 = u - n, 4*u - 6*n = -4*n + 236. Let c = 61 - u. Factor -2/7*y**4 + 0*y**3 + 0 + 8/7*y**c + 0*y.
-2*y**2*(y - 2)*(y + 2)/7
Let k(r) be the first derivative of -r**6/96 + r**5/48 + 5*r**4/24 - 5*r**3/6 - 45*r**2/2 - 10. Let z(i) be the second derivative of k(i). Factor z(t).
-5*(t - 2)*(t - 1)*(t + 2)/4
Let d be (13 - (-3)/(-1)) + (-36)/126*35. Solve -1/9*j**2 - 1/9*j + d = 0.
-1, 0
Let c be -72*(1 - 9/6). Suppose c*g - 29*g - 14 = 0. Factor -449 - 7*r + 451 + g*r**2 + 3*r**2.
(r - 1)*(5*r - 2)
Let w = 1022 + -608. Let c be (w/(-33) - -8) + 6. Solve -14/11*t**2 - 60/11*t - c = 0.
-4, -2/7
Let g(t) = 32*t + 2 - 814*t**2 - 6*t**3 - 6 + 842*t**2. Let f(x) = -x**3 - 2. Let p(z) = -2*f(z) + g(z). Determine n so that p(n) = 0.
-1, 0, 8
Let v be (-5)/(-6)*54/(-20)*(-908)/681. Factor 261/2*w + 777/2*w**2 + 27/2 + 735/2*w**v.
3*(5*w + 1)*(7*w + 3)**2/2
Suppose -5*n = 3*k + 24, 148*k + 154*k = 303*k + 13. What is x in -11/2*x**4 - 10 + x**5 - 44*x - 131/2*x**2 - 38*x**n = 0?
-2, -1, -1/2, 10
Let -4/3*z**3 - 44/15*z - 2/15*z**4 - 14/15 - 16/5*z**2 = 0. Calculate z.
-7, -1
Find z such that -214/11*z + 4/11*z**5 - 2/11*z**2 + 642/11*z**3 + 434/11*z**4 + 0 = 0.
-107, -1, 0, 1/2
Let w be (5 - 6)/(15/(-36)) + (-84)/(-140). Factor -18/19*a + 0 + 0*a**2 + 2/19*a**w.
2*a*(a - 3)*(a + 3)/19
Let l be ((-27)/(-10))/((-356)/(-18245)). Let x = l + -138. Suppose 3/8*i**2 - x + 0*i = 0. What is i?
-1, 1
Determine w, given that -12*w**3 + 40*w**4 - 64*w**5 + 187*w**5 - 65*w**5 - 69*w**5 - 16*w**2 - 16*w**3 = 0.
-4/11, 0, 2
Let m(l) be the third derivative of l**7/140 + 83*l**6/480 + 47*l**5/30 + 35*l**4/6 + 24*l**2 + 40*l. Determine k so that m(k) = 0.
-35/6, -4, 0
Suppose 37*s - 24*s - 1027 = 0. Suppose -s*c + 316 + 316 = 0. Solve -c - 28*i**2 + 1/2*i**5 + 24*i + 16*i**3 - 9/2*i**4 = 0.
1, 2
Solve -5/4 - 1/4*l**5 + 1/2*l**2 + 3/4*l**4 + 5/2*l**3 - 9/4*l = 0.
-1, 1, 5
Let r(d) = 13*d**3 + d**2 - d. Let h(m) = 68*m**3 + 3116*m**2 + 808075*m + 804972. Let l(k) = h(k) - 5*r(k). Factor l(y).
3*(y + 1)*(y + 518)**2
Let n(p) = p**2 + 7*p + 1. Let l(b) = 2*b**2 - 1837*b - 863038. Let a(m) = -l(m) + 3*n(m). Find q, given that a(q) = 0.
-929
Let g(r) be the first derivative of r**4/2 - 40*r**3/3 + 87*r**2 + 216*r + 4647. Solve g(d) = 0 for d.
-1, 9, 12
Let v = 456 + -477. Let k be (-8)/v*(-39)/(-26). Factor 10/7*o**2 + k*o + 0 + 8/7*o**3 + 2/7*o**4.
2*o*(o + 1)**2*(o + 2)/7
Let t(d) be the second derivative of -1/7*d**3 - 7*d - 5/42*d**4 - 1/70*d**5 - 2 + 9/7*d**2. Determine f, given that t(f) = 0.
-3, 1
