)/5
Factor -41/2*s - 2*s**3 - 23/2*s**2 - 11.
-(s + 1)*(s + 2)*(4*s + 11)/2
Let i(m) be the third derivative of m**7/210 + 39*m**6/40 + 13453*m**5/240 - 2301*m**4/16 + 3481*m**3/24 + 2*m**2 + 1687*m. Factor i(t).
(t + 59)**2*(2*t - 1)**2/4
Let i(z) be the second derivative of 0 + 0*z**2 + 1/20*z**5 + 1/30*z**6 - 1/6*z**3 + 82*z - 1/12*z**4. Factor i(y).
y*(y - 1)*(y + 1)**2
Let j(o) be the first derivative of o**3/18 - 155*o**2/12 - 26*o - 3098. Factor j(x).
(x - 156)*(x + 1)/6
Let w be ((-4)/(-30))/(43/7955). Let p = w + -358/15. Let -4/5*u**3 - p*u**2 + 2/5*u**5 + 2/5 + 2/5*u**4 + 2/5*u = 0. Calculate u.
-1, 1
Let y(i) be the first derivative of -4/3*i + 7/18*i**4 - 20/9*i**3 + 29/9*i**2 - 59. Determine h, given that y(h) = 0.
2/7, 1, 3
Factor -63*v + 63*v + 8*v**3 + 3*v**2 + 13*v**3 - 18*v**3.
3*v**2*(v + 1)
Let g(r) = -3*r**2 + r + 29. Let f = -393 - -402. Let i(a) = 2*a**2 - a - 13. Let o(l) = f*i(l) + 4*g(l). Factor o(q).
(q - 1)*(6*q + 1)
Let v(o) be the third derivative of 0 - 3/200*o**6 + o + 3/5*o**3 - 1/350*o**7 - 6*o**2 + 3/100*o**5 + 11/40*o**4. Let v(m) = 0. Calculate m.
-3, -1, 2
Let k = 438 + -428. Let a be 1/12 + 6/((-720)/k). Suppose a*j - 3/4*j**3 + 0 + 3/4*j**2 = 0. Calculate j.
0, 1
Let m(i) = 12*i**2 + 2*i + 8. Let j be m(5). Let z = j + -316. Determine d, given that -108*d**4 + 60*d + 357/2*d**z + 6 + 111*d**3 = 0.
-1/2, -1/4, -2/9, 2
Let j(u) = -3*u**2 - 288*u + 1202. Let i be j(-100). Solve -i*m + 1/4*m**2 + 7/4 = 0.
1, 7
Let i(v) be the third derivative of 0*v**3 + 1/30*v**5 + 0*v - 2*v**2 + 9 + 0*v**4. Determine k, given that i(k) = 0.
0
Let z(q) be the third derivative of 0 + 41*q**2 + 12*q**3 + 1/2*q**4 - 1/8*q**5 - 1/80*q**6 + 0*q. Factor z(l).
-3*(l - 3)*(l + 4)**2/2
Suppose -65897*h - 18 + 171 = -65846*h. Factor -2/5*l**4 + 0*l**h + 0 - 1/5*l**5 + 1/5*l + 2/5*l**2.
-l*(l - 1)*(l + 1)**3/5
Factor 145*u - 1314 + 29*u - 3*u**2 + 264*u + 403*u - 178*u.
-3*(u - 219)*(u - 2)
Let s(c) = 2 + 3*c**2 - 7 + 7*c - 2*c**2. Let b(v) = v**2 + 6*v - 4. Let x(d) = d - 19. Let l be x(14). Let y(i) = l*b(i) + 4*s(i). Let y(g) = 0. What is g?
-2, 0
Let n(z) = -21*z**4 - 180*z**3 - 2334*z**2 + 5406*z. Let a(w) = -66*w**4 - 541*w**3 - 7001*w**2 + 16219*w. Let t(k) = -6*a(k) + 19*n(k). Factor t(u).
-3*u*(u - 2)*(u + 30)**2
Suppose -65*b = -11*b - 108. Let o(c) be the first derivative of b*c - 7/3*c**3 + 1 - 5/2*c**2. Let o(l) = 0. Calculate l.
-1, 2/7
Let u(i) = i**2 + 104*i - 1918. Let l be u(16). Factor 650*v - 21125/2*v**l - 10.
-5*(65*v - 2)**2/2
Let q(g) = -2*g**2 + 7*g - 3. Let h(c) = 2*c**2 - c + 3. Let w be h(0). Let z be q(w). Factor z - 3*b + 3/2*b**2.
3*b*(b - 2)/2
Determine y so that -612 + 2578/3*y + 260/3*y**2 + 2*y**3 = 0.
-27, -17, 2/3
Let l be (528/42)/11 - ((-86)/1075 - (-486)/(-175)). Solve -2/7*j + 4/7 + 2/7*j**3 - 6/7*j**2 + 2/7*j**l = 0.
-2, -1, 1
Let u be (-2)/((-4)/(1 - 0)). Let s(a) = 99*a**2 - 2579*a + 132. Let t be s(26). Solve u + 3/4*z + 1/4*z**t = 0 for z.
-2, -1
Let u be 2 + 24/(-10) + 464/10. Let r = u + -42. Find w, given that -8*w**3 + 3*w**3 - 19*w**4 + 24*w**r = 0.
0, 1
Let b(h) be the third derivative of -103*h**2 + 0 + 0*h - 1/150*h**5 + 1/5*h**3 - 1/30*h**4. Find q such that b(q) = 0.
-3, 1
Let f(s) be the second derivative of 7*s**6/135 + 59*s**5/90 + 7*s**4/6 - 59*s**3/27 - 70*s**2/9 + s - 11062. Let f(a) = 0. What is a?
-7, -10/7, -1, 1
Let b be 10/(-80) - (-565)/40. Factor 6 - b + 4 + 4*z**2.
4*(z - 1)*(z + 1)
Let a(r) = 13*r**2 + 184*r + 251. Let k(w) = 2*w**2 + 21*w - 1. Let h(t) = -a(t) + 4*k(t). Determine g, given that h(g) = 0.
-17, -3
Factor -384*s + 189*s + 152*s + 128*s - s**2 + 6*s**2 + 350.
5*(s + 7)*(s + 10)
Let u be (-5 - (-4 + (-2)/(-2) + -2))/(-3). Let q(w) be the third derivative of 0*w**4 + 1/20*w**5 + 0*w**3 - 1/40*w**6 + 2*w**2 + 0*w + u. Factor q(n).
-3*n**2*(n - 1)
Let p(t) = 98*t**2 - 1632*t + 14786. Let q(l) = 26*l**2 - 435*l + 3943. Let m(h) = 18*p(h) - 68*q(h). What is c in m(c) = 0?
13, 38
Suppose 49*g = 43*g + 12. Factor 578*x + 1 - 1 + 48*x**2 + 20*x**g + 2*x**3.
2*x*(x + 17)**2
Let m(y) be the first derivative of -8/7*y**2 - 117 - 1/7*y**4 + 0*y + 16/21*y**3. Suppose m(p) = 0. Calculate p.
0, 2
Let i(u) be the first derivative of 55*u**3/3 + 935*u**2/2 - 925*u + 74. Let l(n) = -5*n**2 - 85*n + 84. Let b(j) = 6*i(j) + 65*l(j). Factor b(s).
5*(s - 1)*(s + 18)
Let q(d) be the second derivative of 3*d**2 + 11/18*d**3 + 51*d + 0 + 1/36*d**4. Determine f so that q(f) = 0.
-9, -2
Let x(g) be the second derivative of g**4/66 + g**3/33 - 6*g**2/11 + 200*g + 1. Factor x(r).
2*(r - 2)*(r + 3)/11
Let d(l) be the first derivative of -l**3/27 + 4*l**2/9 + 17*l + 2425. Factor d(x).
-(x - 17)*(x + 9)/9
Let d(f) = 5*f**2 - f + 8. Let v(b) = 9*b**2 - 2*b + 15. Let a(i) = -11*d(i) + 6*v(i). Let g(l) = -9*l**2 + 9. Let m(h) = -6*a(h) + g(h). Factor m(p).
-3*(p - 1)**2
Factor 424*n + 2/3*n**2 + 0.
2*n*(n + 636)/3
Let s(g) be the second derivative of 1/6*g**4 - 4 + 0*g**2 - 9*g + 0*g**3 + 1/20*g**5. Determine v so that s(v) = 0.
-2, 0
Suppose 6837*x + 346 = 7010*x. Factor 20*h - 4/3*h**3 - 8/3*h**x + 48.
-4*(h - 4)*(h + 3)**2/3
Let q(v) be the first derivative of 6*v**3/11 + 191*v**2/11 - 28*v + 633. Factor q(w).
2*(w + 22)*(9*w - 7)/11
Let w(r) = -28*r + 62*r - r**2 - 31*r + 20. Let i be w(6). Factor 7*k**4 + k**4 - i*k**2 - 2*k + 2*k**3 - 6*k**4.
2*k*(k - 1)*(k + 1)**2
Let t = 30188956874/1139 + -26504788. Let u = t + -102/67. Factor -2/17*g**2 - 22/17*g + u.
-2*(g - 1)*(g + 12)/17
Suppose -3 = -3*t + 3*c, 21 = 5*t - 2*c + 1. Let z**4 - z**2 + t*z**2 - 3*z**2 - 5*z**4 - 2*z**3 = 0. What is z?
-1, 0, 1/2
Let v be -2 + (-1 + 0)*-4. Factor 18*s**3 + 57 - v*s**4 - 19 - 44*s**2 + 19 + 7.
-2*(s - 4)**2*(s - 2)*(s + 1)
Suppose -5*f - 18 - 21 = g, g + 23 = -3*f. Let t be ((-128)/72)/f*3. Solve t*v**2 + 0 - 1/3*v**3 - 1/3*v = 0.
0, 1
Suppose 2*d = 2*c - 8, -3*c - 6 = -2*d - 18. Let h(o) be the second derivative of -125/2*o**2 + 0 + 50*o**3 - 15*o**c - 3*o. Solve h(t) = 0 for t.
5/6
Let p = 55448/32555 - 1234/1915. Find n, given that -18/17*n**2 + 0*n + 0 + p*n**4 + 2/17*n**5 - 2/17*n**3 = 0.
-9, -1, 0, 1
Let h = -7/2 - -9. Let m(q) = 67*q + 806. Let j be m(-12). Solve 5/2*n + 1 - h*n**2 + j*n**3 = 0.
-1/4, 1, 2
Let f be (32/(-4) - (-121)/22)*(-12)/15. Solve -9/8 + 9/4*b + 1/8*b**4 - 1/4*b**3 - b**f = 0 for b.
-3, 1, 3
Let t = 1758982 + -10553891/6. Factor -t*a**4 - 25/6*a + 1/6*a**3 + 2 + 13/6*a**2.
-(a - 3)*(a - 1)**2*(a + 4)/6
Let c(p) = 3*p**3 - 9*p**2 - 3. Let n(x) = -3*x**3 + 10*x**2 + 2. Suppose -12*l = -8*l + 20, 2*l = -5*o. Let h(a) = o*c(a) + 3*n(a). Factor h(w).
-3*w**2*(w - 4)
Let t(d) = d**2 - 7*d + 3. Let h be t(7). Let f = 92023 - 92023. Determine j, given that 0 + 0*j - 2/17*j**5 + f*j**2 - 4/17*j**4 - 2/17*j**h = 0.
-1, 0
Let y(h) be the third derivative of -h**8/840 - 8*h**7/175 + 107*h**6/300 - 23*h**5/25 + 14*h**4/15 + 4*h**2 - 10*h - 5. Solve y(w) = 0 for w.
-28, 0, 1, 2
Factor 1076/17*q**2 + 0 - 2/17*q**3 - 144722/17*q.
-2*q*(q - 269)**2/17
Determine i so that 16611 + 100*i - i**3 - 33287 + 16580 - 3*i**2 = 0.
-12, 1, 8
Let w(a) be the first derivative of 28 - 18/11*a + 8/11*a**3 - 3/11*a**2. Factor w(i).
6*(i - 1)*(4*i + 3)/11
Determine f, given that -28*f**2 + 160*f - 269 - 30*f + 69 + 2*f**3 = 0.
4, 5
Let z = 3/1468 + 179/2202. Let f(p) be the second derivative of -20*p + z*p**4 + 5/3*p**3 + 0 + 25/2*p**2. Let f(c) = 0. Calculate c.
-5
Let k(c) be the third derivative of -c**7/210 - 7*c**6/30 - 37*c**5/10 - 91*c**4/6 - 169*c**3/6 - 1253*c**2. Solve k(u) = 0.
-13, -1
Let u(b) be the second derivative of -b**5/70 + 13*b**4/42 + 64*b**3/21 + 68*b**2/7 + 7178*b. Solve u(w) = 0 for w.
-2, 17
Let v(p) be the second derivative of -p**9/6048 + p**7/840 - p**5/240 + 61*p**3/6 - 37*p - 1. Let x(d) be the second derivative of v(d). Factor x(h).
-h*(h - 1)**2*(h + 1)**2/2
Let u(b) be the first derivative of -3*b**5/5 - 3027*b**4/4 - 339696*b**3 - 57407616*b**2 - 113799168*b - 5548. What is r in u(r) = 0?
-336, -1
Suppose 0 = -4*d + a - 3*a + 2, -4 = 4*d + 4*a. Factor -69*r**2 - 75*r - 30*r**3 - 21*r**d - 19*r**3 + 14*r**3 - 20.
-5*(r + 1)**2*(7*r + 4)
Let t(f) be the second derivative of -f**5/5 - f**4 - f**3/6 + f - 8. Let g(c) = 2*c**3 + 6*c**2. Let z(s) = 7*g(s) + 4*t(s). F