65944/7. Factor 78/7*o - l*o**2 - 76/7.
-2*(o - 38)*(o - 1)/7
Suppose -4*s - 443 = -451. Let n(w) be the first derivative of 0*w + 3*w**s - 2/5*w**5 + 16 - 3/2*w**4 + 2/3*w**3. What is d in n(d) = 0?
-3, -1, 0, 1
Let b = -20936/3 + 6980. Let l(g) be the first derivative of -21 - b*g**3 + 1/6*g**6 + 3/2*g**4 + 1/2*g**2 - 4/5*g**5 + 0*g. Factor l(s).
s*(s - 1)**4
Let h(o) be the third derivative of -o**7/2520 + o**6/144 + 7*o**5/60 + 103*o**4/24 + 123*o**2. Let s(p) be the second derivative of h(p). Factor s(y).
-(y - 7)*(y + 2)
Let n(v) be the second derivative of v**5/20 - 112*v**4 + 150079*v**3/2 + 452929*v**2 - v - 991. Factor n(j).
(j - 673)**2*(j + 2)
Determine s, given that 40*s**3 + 927*s**4 - s**2 + 2*s**2 - 122*s + 2*s**2 - 1744*s**4 + 80 + 816*s**4 = 0.
-2, 1, 40
Let u(d) be the first derivative of d**4 - 62*d**3/3 - 68*d**2 - 70*d - 1506. Factor u(m).
2*(m + 1)**2*(2*m - 35)
Let g(c) = 3*c + 6. Suppose -5*r + 5*v = 2 + 8, -31 = -2*r - 5*v. Let u(i) = i**2 - 5*i - 11. Let y(n) = r*u(n) + 5*g(n). Suppose y(f) = 0. Calculate f.
-1, 1
Let u be 3392/(-12)*(-4)/(-3). Let k = -376 - u. Suppose 8/9*o**2 + 2/9*o**4 + 0 + k*o**3 + 0*o = 0. Calculate o.
-2, 0
Let m(n) = -2*n**3 - 28*n**2 - 132*n. Let w(k) = -2*k**3 - 28*k**2 - 138*k. Let a(p) = 7*m(p) - 6*w(p). Factor a(s).
-2*s*(s + 6)*(s + 8)
Let i(g) be the second derivative of g**7/70 + g**6/5 + 39*g**5/100 - 8*g**4/5 - 34*g**3/5 - 48*g**2/5 + 2*g + 496. Find v, given that i(v) = 0.
-8, -2, -1, 2
Factor -8/7*f**3 + 468/7 - 642/7*f + 232/7*f**2.
-2*(f - 26)*(2*f - 3)**2/7
Let x(d) = 18*d**3 + 117*d**2 - 34*d + 2. Let v(y) = 89*y**3 + 586*y**2 - 172*y + 11. Let k(r) = -2*v(r) + 11*x(r). Let k(j) = 0. What is j?
-6, 0, 1/4
Let r(i) = 5*i**4 + 11*i**3 + 4*i**2 - 4*i. Let a(x) = -x**4 - x**3 - x**2 + x. Suppose 54 = -4*k + 6. Let h(p) = k*a(p) - 3*r(p). Factor h(m).
-3*m**3*(m + 7)
Let h(n) be the third derivative of -5*n**6/96 + 37*n**5/16 + 19*n**4/4 + 23*n**3/6 - n**2 + 136*n. Factor h(g).
-(g - 23)*(5*g + 2)**2/4
Let c(b) be the second derivative of -b**5/90 - 2*b**4/9 + 421*b**3/27 + 48*b**2 - 8*b - 64. Determine t so that c(t) = 0.
-27, -1, 16
Let n(r) = 5775*r + 317625. Let c be n(-55). Find o such that -o**2 + 1/4*o**4 + c*o + 0 - 3/4*o**3 = 0.
-1, 0, 4
Let q(h) = 5*h**2 - 1003*h - 975. Let v(p) = -2*p - 5. Let s(m) = -q(m) - 11*v(m). Suppose s(w) = 0. What is w?
-1, 206
Let r(h) = 1768*h - 5301. Let k be r(3). Suppose 0 - 5/2*p**3 - 1/2*p - k*p**2 = 0. Calculate p.
-1, -1/5, 0
Let y(g) be the third derivative of g**7/35 + 17*g**6/60 - 3*g**5/10 - 17*g**4/12 + 2*g**3 - 1053*g**2. Suppose y(w) = 0. What is w?
-6, -1, 1/3, 1
Let x(o) be the first derivative of -44/3*o - 3*o**2 + 2/9*o**3 + 36. Suppose x(s) = 0. What is s?
-2, 11
Let -2318*z**2 + 75*z**3 + 2343*z**2 + 102 - 111 + 4*z**5 + 44*z**4 - 19*z = 0. Calculate z.
-9, -1, -1/2, 1/2
Let q(t) be the first derivative of 2/39*t**3 - 3*t**2 - 80/13*t - 58. Let q(g) = 0. Calculate g.
-1, 40
Let o(a) be the first derivative of 0*a**3 + 0*a + a**2 - 1/300*a**6 + 1/50*a**5 + 0*a**4 + 11. Let c(k) be the second derivative of o(k). Solve c(y) = 0.
0, 3
Let s(j) be the first derivative of -j**3/2 + 1377*j**2/2 - 2748*j + 6317. Solve s(o) = 0.
2, 916
Suppose 0 = -c - 5*s + 10, 2 - 16 = -3*c + s. Determine r so that -9*r**2 - 22*r**3 - c*r**2 - 4 + 0*r + 14*r + 8*r + 18*r**4 = 0.
-1, 2/9, 1
Let i(m) be the first derivative of m**5/25 - 33*m**4/20 + 112*m**3/5 - 98*m**2 - 595. Factor i(y).
y*(y - 14)**2*(y - 5)/5
Let 153*f**2 + 1/5*f**3 + 3316275 + 39015*f = 0. What is f?
-255
Let i(a) be the third derivative of a**5/270 - 43*a**4/108 - 46*a**3/9 + 41*a**2 + 2. Factor i(r).
2*(r - 46)*(r + 3)/9
Let o be (50 - (1 + 2))*(-40)/(-20). Factor -5 + o*d**2 - 9 - 94 - 90*d**3 + 8 + 71*d**2 + 80*d.
-5*(d - 2)*(3*d - 2)*(6*d + 5)
Suppose 4*v = -5*k + 30, -4*k - 2*v = v - 23. Let t(d) = -2*d + 55. Let g be t(26). Factor 6*o**2 + 8*o**3 - 5*o**3 + 0*o**k - 6*o**g.
-3*o**2*(o - 2)
Solve -8799/5*t**2 - 12/5 + 2556/5*t = 0 for t.
2/419, 2/7
Factor -136/13*c - 402/13*c**3 + 406/13*c**2 + 2/13*c**5 + 0 + 10*c**4.
2*c*(c - 1)**3*(c + 68)/13
Let f = -210 - -13. Let s = -194 - f. Factor -5/3*d**s + 5/6*d + 5/6*d**5 + 5/6*d**4 - 5/3*d**2 + 5/6.
5*(d - 1)**2*(d + 1)**3/6
Let s(q) = -44*q**2 + 791*q + 1557. Let u(f) = -236*f**2 + 3956*f + 7784. Let x(d) = -16*s(d) + 3*u(d). Factor x(a).
-4*(a + 2)*(a + 195)
Let z(w) = 38*w**4 + 483*w**3 - 53823*w**2 - 335593*w - 509874. Let m(y) = 3*y**4 + y**3 - 2*y**2 - y - 6. Let s(i) = -26*m(i) + 2*z(i). Factor s(v).
-2*(v - 238)**2*(v + 3)**2
Let r be (-2)/12 - 38/(-228). Factor 160*b - 64 - 186*b**2 + 26*b**2 + r*b**5 + 80*b**3 + 2*b**5 - 20*b**4.
2*(b - 2)**5
Let g(w) be the third derivative of w**6/24 + w**5/6 - 55*w**4/24 - 10*w**3 - 1426*w**2. Solve g(t) = 0.
-4, -1, 3
Let k = 171 + -851/5. Let u be 16/800*230 + (-6)/2. Suppose -k*y**2 + 4/5*y + u = 0. Calculate y.
-1, 2
Let 705/4*i + 477/4*i**2 - 12*i**4 + 75 + 6*i**3 = 0. Calculate i.
-5/4, -1, 4
Let -54 + 1/2*n**3 + 13/2*n**2 + 12*n = 0. Calculate n.
-9, -6, 2
Factor 229/4*f - 231/2 + 1/4*f**2.
(f - 2)*(f + 231)/4
Let k(q) be the first derivative of q**7/42 - q**6/3 - q**5/12 + 5*q**4/3 + q**2/2 + 16*q + 4. Let n(c) be the second derivative of k(c). Factor n(f).
5*f*(f - 8)*(f - 1)*(f + 1)
Let t be 6/42 - 48/(-7). Let m(x) = 15*x**2 + 73*x - 95. Let c(q) = -8*q**2 - 36*q + 48. Let f(l) = t*c(l) + 4*m(l). Let f(w) = 0. Calculate w.
-11, 1
Let -16/3 + 4/9*u**2 + 4/9*u = 0. What is u?
-4, 3
Let o(d) be the third derivative of d**6/180 + d**5/10 - d**4/36 - d**3 - 3049*d**2. Solve o(n) = 0.
-9, -1, 1
Suppose -4266*j + 4277*j = 33. Let x(f) be the third derivative of -10*f**2 + 0*f + 1/27*f**j + 1/270*f**5 - 1/54*f**4 + 0. Factor x(z).
2*(z - 1)**2/9
Let t(y) = 2*y**2 - 2213*y + 613826. Let g(x) = 10*x**2 - 11066*x + 3069132. Let q(z) = -6*g(z) + 28*t(z). Factor q(w).
-4*(w - 554)**2
Suppose 305*z - 32 - 7 + 39 = 0. Solve -2/3*p**4 + 0 + 4*p**3 - 2/3*p**5 + z*p + 0*p**2 = 0 for p.
-3, 0, 2
Let v be 21/126 - (-1918)/12. Factor 110*m**2 + 2 - v*m**2 - 50*m - 14*m**4 - 10 + 18*m - 38*m**3 - 2*m**5.
-2*(m + 1)**3*(m + 2)**2
Let h(m) = -6*m**3 - m**2 - 6*m - 11. Let y be h(-2). Factor -48 + 3*b**2 + y*b + 0*b**2 + 7 - 7.
3*(b - 1)*(b + 16)
Let o be (-72)/(0 - 9)*1/4. Let q be o + (-4)/16 - (-2)/8. Determine f so that 0*f**q + 0*f + 0 + 3*f**3 + 3/4*f**5 - 3*f**4 = 0.
0, 2
Find j, given that j**4 - 551*j**2 + 400*j**3 - 1153*j**2 - 726*j**3 - 240*j**3 - 1706*j - 569 = 0.
-1, 569
Let v(g) be the second derivative of g**5/20 - g**4/2 + 11*g**3/6 - 15*g**2 - 80*g. Let j be v(5). Suppose -4/13*o + 10/13*o**2 + j = 0. What is o?
0, 2/5
Let c be ((-10)/100)/((-3)/6). Let a(l) be the first derivative of 13 + 0*l + 0*l**2 - 1/2*l**4 - 1/3*l**3 - c*l**5. Suppose a(n) = 0. Calculate n.
-1, 0
Let p(y) be the second derivative of 3*y**5/80 + 183*y**4/16 - y**3/2 - 549*y**2/2 + 5825*y. Suppose p(i) = 0. Calculate i.
-183, -2, 2
Let y(c) = 2*c**4 - c**3 - 2*c**2 + 1. Let f(z) = 10*z**4 + 109*z**3 - 10*z**2 - 116*z + 7. Let m(h) = -f(h) + 7*y(h). Let m(k) = 0. Calculate k.
-1, 0, 1, 29
Let y(r) be the first derivative of 5*r**4/4 + 2918*r**3/3 + 1747*r**2/2 - 1166*r - 1381. Factor y(x).
(x + 1)*(x + 583)*(5*x - 2)
Let a = -893903/24 + 37246. Let r(s) be the second derivative of a*s**4 - 2*s**2 + 1/6*s**3 - 23*s + 0. Factor r(c).
(c - 2)*(c + 4)/2
Let r(a) be the third derivative of 5/24*a**4 + 0*a**3 - 1/5*a**5 + 0*a + 23/300*a**6 + 1/1680*a**8 - 2*a**2 + 6 - 2/175*a**7. Find w such that r(w) = 0.
0, 1, 5
Let n(m) = 13*m**3 + 19*m**2 + 35*m + 19. Let y(g) = -2*g**3. Let t(r) = n(r) + 6*y(r). Let z be t(-17). Factor -16*l**z - 8/5 - 52/5*l.
-4*(4*l + 1)*(5*l + 2)/5
Let j be (2/8 + -4)*-4. Let h = -13 + j. Factor -2*n - n**3 - 3*n**2 + 4*n**h + 2*n**3.
n*(n - 1)*(n + 2)
Let x(a) be the second derivative of -5*a**4/48 - 90*a**3 - 29160*a**2 + 2*a + 37. Factor x(w).
-5*(w + 216)**2/4
Let d be (17/3 + -5)/(0 - (-15)/81). What is y in 12/5*y + d - 12/5*y**3 - 2/5*y**4 - 16/5*y**2 = 0?
-3, -1, 1
Suppose -4*i - 2*h = -4, 4*i - 5*h + 17 = 7. Suppose 4*r + 5*c + 21 = i, 19*r + 9 = 23*r - c. Factor -r + 1/3*z**3 - 1/3*z + z**2.
(z - 1)*(z + 1)*(z + 3)/3
Suppose 4*b - 7*g + 6*g = 16, 2*b - g - 10 = 0. Suppo