ird derivative of -h**6/300 - 7*h**5/30 - 67*h**4/60 - 11*h**3/5 - 918*h**2. Solve b(s) = 0.
-33, -1
Let p(w) = 5*w**5 + 4*w**4 - 7*w**3 - 18*w**2 - 10*w. Let a(b) = 26*b**5 + 20*b**4 - 34*b**3 - 90*b**2 - 51*b. Let k(z) = -2*a(z) + 11*p(z). Factor k(f).
f*(f - 2)*(f + 1)**2*(3*f + 4)
Let r(j) = 3*j**4 + 30*j**3 + 9*j**2 - 18*j - 6. Let d(a) = 42*a**2 + 41*a**2 - 3*a**3 + 46*a**2 - 130*a**2 + 5 - 4. Let h(o) = 6*d(o) + r(o). Factor h(i).
3*i*(i - 1)*(i + 2)*(i + 3)
Suppose -16*g + 221 + 403 = 0. Find c such that -g*c**2 - 5*c - 45*c**3 - 76*c**5 - 7*c - 21*c**4 + 73*c**5 = 0.
-4, -1, 0
Let s = 160/9823 + 49472/9823. Let -s*t**3 + 112/19*t**2 + 256/19*t + 96/19 - 18/19*t**4 = 0. What is t?
-6, -2/3, 2
Let b(g) be the third derivative of 1/2*g**4 + 0 - 36*g**2 + 0*g - 1/6*g**5 + 0*g**3 - 1/60*g**6. Factor b(h).
-2*h*(h - 1)*(h + 6)
Let j = 341875 + -341872. Determine q, given that -4/7 + 4/7*q**2 + 4/7*q**j - 4/7*q = 0.
-1, 1
Let p(u) be the first derivative of 16/11*u - 54/11*u**2 - 24/55*u**5 + 54/11*u**3 + 74 + 31/22*u**4. What is m in p(m) = 0?
-2, 1/4, 1/3, 4
Let u be 80/72*135/450. Suppose 0*k + 0 - u*k**5 - 2*k**4 - k**3 + 10/3*k**2 = 0. What is k?
-5, -2, 0, 1
Let y = -3391951/15 - -226046. Let z = y + 497/5. Factor 1/3*o**4 + 16/3*o**3 + z*o**2 + 27 - 48*o.
(o - 1)**2*(o + 9)**2/3
Let h be (13/((-208)/9624))/((-3)/2). Factor 214*c**2 + 2*c**5 + 13*c**3 - h*c**2 + 13*c**3 + 8*c + 12*c**4 + 211*c**2.
2*c*(c + 1)**2*(c + 2)**2
Let r(v) be the second derivative of -v**7/210 + 11*v**6/60 + 47*v**5/60 + v**4 + 133*v**2/2 + 159*v. Let n(f) be the first derivative of r(f). Factor n(b).
-b*(b - 24)*(b + 1)**2
Let t(j) be the first derivative of 25*j**3/3 - 15*j**2 + 9*j - 1146. Factor t(o).
(5*o - 3)**2
Let 1222*k**2 - 1217*k**2 + 610 - 46 + 661 - 1230*k = 0. Calculate k.
1, 245
Let r = 13624/5 - 54481/20. Let a(c) be the third derivative of -r*c**3 + 0*c + 1/8*c**4 + 0 - 1/120*c**5 - 3*c**2. Factor a(o).
-(o - 3)**2/2
Let a(c) = 3*c**2 - 56*c + 35. Let l be a(18). Let d be (-16)/(-48)*(l - -2). Factor 0*w + 1/3*w**2 - d.
(w - 1)*(w + 1)/3
Suppose -34*c**3 + 34/9*c + 2*c**4 + 56/3 - 1514/9*c**2 = 0. Calculate c.
-4, -1/3, 1/3, 21
Suppose -355*a + 358*a = 54. Let z(p) be the third derivative of -16/15*p**5 + a*p**2 + 0 - 4/3*p**3 - 11/6*p**4 - 7/30*p**6 + 0*p. Find l such that z(l) = 0.
-1, -2/7
Let y(w) be the third derivative of 1/40*w**5 + 11/6*w**3 + 12*w**2 + 4 + 0*w + 35/48*w**4. Determine l so that y(l) = 0.
-11, -2/3
Let h(a) = -a**3 - 43*a**2 + 44*a + 6. Let c be h(-44). Suppose o - 2*q = -4*q + c, -3*q = o - 8. Factor -1/5*r**o + 0 + 0*r.
-r**2/5
Let z(v) be the first derivative of v**7/70 - 49*v**6/40 + 115*v**5/4 + 625*v**4/8 + 145*v**2/2 - 94. Let r(a) be the second derivative of z(a). Factor r(f).
3*f*(f - 25)**2*(f + 1)
Suppose 0 = -q + 8*q - 70. Let t(f) = -f**2 - 3*f - 4. Let h(v) = 2*v**2 + 5*v + 7. Let p(a) = q*t(a) + 4*h(a). Factor p(o).
-2*(o + 2)*(o + 3)
Find y such that -264/7*y + 2/7*y**2 + 1024/7 = 0.
4, 128
Let p = 35/48 - 11/48. Let v = 20/21 - 13/21. Factor 1/6*z**2 - p + v*z.
(z - 1)*(z + 3)/6
Let h(z) be the third derivative of z**7/280 - 7*z**6/60 - 24*z**3 - 2*z**2 - 5*z. Let w(s) be the first derivative of h(s). Factor w(m).
3*m**2*(m - 14)
Suppose 4*r - 52 = 8*r. Let d be (-20)/(-50) - r/5. Factor -3 + d + 3*f**4.
3*f**4
Let d(c) = -25*c - 3. Let z be d(-1). Factor 30 + 10*f**2 - 33*f + 12*f - z*f**2 + 3*f**3.
3*(f - 5)*(f - 1)*(f + 2)
Let k be -7 - (-35)/70*(828/26 - (8 - 4)). Factor -1056/13*v + k*v**2 - 2/13*v**3 + 968/13.
-2*(v - 22)**2*(v - 1)/13
Let r(x) be the first derivative of -x**4/7 - 60*x**3/7 + 284*x**2/7 - 384*x/7 + 1564. Factor r(u).
-4*(u - 2)*(u - 1)*(u + 48)/7
Let o(r) be the first derivative of -4*r**6/33 - 178*r**5/55 + 35*r**4/11 + 46*r**3/33 - 5462. Let o(i) = 0. Calculate i.
-23, -1/4, 0, 1
Let t(c) = 8*c**3 + 25*c**2 - 8*c - 28. Let r = -27 - -52. Let j(g) = -5*g - 5*g - 29 + g + 9*g**3 + r*g**2. Let m(z) = -3*j(z) + 4*t(z). Factor m(l).
5*(l - 1)*(l + 1)*(l + 5)
Let s(o) be the first derivative of -o**8/2240 - 13*o**7/1680 - o**6/96 + o**5/60 + 51*o**3 - 25. Let q(a) be the third derivative of s(a). Factor q(r).
-r*(r + 1)*(r + 8)*(3*r - 1)/4
Let s = -281731541/209 + 1347992. Let d = s + 112/19. Factor -3/11*i**3 + d*i**5 + 2/11*i**4 + 4/11*i + 0 - 4/11*i**2.
i*(i - 1)**2*(i + 2)**2/11
Let p = 198 + -178. Suppose 5*x**4 + 41*x**2 + p*x**3 + 48*x**2 - 74*x**2 = 0. Calculate x.
-3, -1, 0
Let m be -1*(12/(-3) + 4). Suppose 0 = -2*v - m*v + 8. Find u, given that -5*u**2 + 108*u**v + 5*u**3 - 109*u**4 + u**2 = 0.
0, 1, 4
What is r in 0 - 147/2*r**2 - 1/4*r**3 + 0*r = 0?
-294, 0
Let a(x) = x**2 + 188*x + 2917. Let c be a(-17). Find b such that -c - 4*b - 2/5*b**2 = 0.
-5
Suppose -2/5*s**3 + 130*s**2 + 8/5*s - 520 = 0. Calculate s.
-2, 2, 325
Let z(v) be the third derivative of v**6/840 - v**4/168 + 2491*v**2. Solve z(i) = 0.
-1, 0, 1
Let m(z) be the third derivative of 1/3*z**4 + 1/60*z**5 - 3 - 3/2*z**3 + 0*z + z**2. Factor m(v).
(v - 1)*(v + 9)
Suppose 0*y = y + z + 1, -5*y - 3*z = -3. Suppose 0 = 3*m + d - 3 - 103, m - d - 30 = 0. Factor -3*a**3 + y*a**2 + a**4 - 34 + m - a.
a*(a - 1)**3
Let g(k) be the third derivative of k**6/24 - 13*k**5/2 - 405*k**4/8 - 150*k**2 + 2*k. Determine a, given that g(a) = 0.
-3, 0, 81
Let i(l) be the second derivative of l**5/15 - 2*l**4/3 - 8*l**3 + 94*l**2 + 242*l. Let m(g) be the first derivative of i(g). What is n in m(n) = 0?
-2, 6
Find r, given that 198*r - 149*r**3 + 208*r**3 - 56*r**3 - 18*r - 51*r**2 = 0.
0, 5, 12
Let m = -64 + 60. Let q(o) = -2*o**4 + 10*o**3 - 2*o**2 - 10*o - 4. Let b(h) = 5*h**4 - 29*h**3 + 5*h**2 + 29*h + 12. Let w(n) = m*b(n) - 11*q(n). Factor w(l).
2*(l - 1)*(l + 1)**2*(l + 2)
Let t be (-5)/(70/(-4)) + 2874/2016. Let p = t - -1/336. Let p*g**3 + 40/7*g**2 + 36/7*g + 8/7 = 0. Calculate g.
-2, -1, -1/3
Suppose -434 = 7*k + 350. Let d be ((-8)/14)/(32/k). Solve 8*h + 7*h**2 - h**2 - h**2 - h**d = 0.
-2, 0
Let g(k) be the first derivative of 2*k**4 + 1262*k**3 + 2361*k**2 + 944*k + 4225. Factor g(h).
2*(h + 1)*(h + 472)*(4*h + 1)
Let y(o) be the first derivative of -1/4*o**3 + o - 54 + 0*o**2 - 1/16*o**4. Factor y(u).
-(u - 1)*(u + 2)**2/4
Let f be (-114)/1083 + (-1250)/38. Let w be 126/(-1716)*-8 - 6/f. Factor -8/13*x**2 - 2/13*x**3 + w*x + 0.
-2*x*(x - 1)*(x + 5)/13
Let i(x) be the third derivative of x**8/588 - 26*x**7/735 - 3*x**6/14 + 145*x**5/21 + 500*x**4/21 - 5000*x**3/7 + x**2 - 4*x + 1894. What is w in i(w) = 0?
-5, 3, 10
Let a(t) = -22*t**3 - 2*t**2 + t + 2. Let b be a(1). Let r = 2 - b. Determine m so that 2 - 277*m**3 - 14*m + r*m**2 + 259*m**3 + 7*m**2 = 0.
1/3, 1
Let m = -4/43179 - -2705944/647685. Let b = -34/9 + m. Factor -384/5*x - b*x**3 - 1024/5 - 48/5*x**2.
-2*(x + 8)**3/5
Let l(r) be the first derivative of r**4/2 - 28*r**3/3 - 275*r**2 - 6073. Suppose l(d) = 0. Calculate d.
-11, 0, 25
Let z(t) be the second derivative of -82/5*t**2 + 140*t - 1/6*t**4 - 69/5*t**3 + 0. What is i in z(i) = 0?
-41, -2/5
Suppose 3*r = 2*c + 7, -12 = 4*c - 16. Solve -41*h**2 + 58*h**5 - 54*h**5 - 35*h**2 + 48 + 12*h**r + 28*h**4 - 12*h - 4*h = 0.
-6, -2, -1, 1
Let 1/3*f**2 - 68/3*f - 365/3 = 0. Calculate f.
-5, 73
Let s = 6772399/7 - 967485. What is y in 10 - s*y - 2/7*y**2 = 0?
-7, 5
Suppose 2*u = -8, 49*u = -2*b + 52*u + 16. Let y(n) be the first derivative of -1/38*n**4 + 7 - 5/19*n**b + 8/57*n**3 + 4/19*n. Factor y(i).
-2*(i - 2)*(i - 1)**2/19
Let u(t) be the first derivative of -2/3*t**3 + 1/5*t**5 - 1/3*t**4 + 32*t - 9 + 0*t**2 + 2/15*t**6. Let f(y) be the first derivative of u(y). Solve f(b) = 0.
-1, 0, 1
Suppose -a = -2*k - 23, -4*a + 29*k = 35*k + 34. Factor -8/5*y**3 + 0*y + 0 + 0*y**2 - 2/5*y**a + 8/5*y**4.
-2*y**3*(y - 2)**2/5
Let o(m) = -13*m**2 - 142*m - 10. Let y(n) = -23*n**2 - 49*n**2 - 141*n - 56 + 140*n - 779*n. Let t(r) = -28*o(r) + 5*y(r). Factor t(a).
4*a*(a + 19)
Let i = 286171/9198 - -453/1022. Suppose 2/9*w**2 + 10082/9 - i*w = 0. What is w?
71
Let f = 437 + -441. Let i be 8/f + 1 + 3. Suppose -1/3 - n**i + n + 1/3*n**3 = 0. Calculate n.
1
Solve -117/2*k - 3/2*k**3 - 24*k**2 + 0 = 0 for k.
-13, -3, 0
Let y(l) be the first derivative of -6*l**5/5 + 19*l**4/2 - 4*l**3 - 96*l**2 + 64*l + 8004. Let y(n) = 