= 4*g(s) - 18*q(s). Factor p(j).
2*j**3*(j - 6)
Let d(a) be the third derivative of -a**7/11340 - a**6/1620 - a**5/540 + a**4/3 + 10*a**2. Let c(j) be the second derivative of d(j). Factor c(t).
-2*(t + 1)**2/9
Let m(x) be the first derivative of -10*x**3/3 + 43*x**2/3 + 4*x - 579. Factor m(k).
-2*(k - 3)*(15*k + 2)/3
Let r(s) = -s**2 + 18*s + 4. Let m be r(17). Let j be 17/3 - m/63. Let -8/3*x - j - 1/3*x**2 = 0. What is x?
-4
Let x(l) = 10*l**3 - 22*l - 28. Let w(o) = 8*o**3 + o**2 - 21*o - 30. Let f(a) = 4*w(a) - 3*x(a). Factor f(p).
2*(p - 3)*(p + 2)*(p + 3)
Factor -4*g**4 - 6*g**5 - 3*g**3 + 5*g**3 + 19*g**5 - 11*g**5.
2*g**3*(g - 1)**2
Let m(i) be the third derivative of 0*i - 1/100*i**5 + 0*i**6 + 0*i**3 + 0 + 0*i**4 + 1/350*i**7 - 11*i**2. Factor m(x).
3*x**2*(x - 1)*(x + 1)/5
Let k be (-288)/30 + (8 - -2). Factor k*w**3 + 0 + 6/5*w**2 + 0*w.
2*w**2*(w + 3)/5
Let t = 25 - 23. Suppose -6*s + 10 = -t. Factor -12*b**s - 9 - 24*b - 7 + 0 - 2*b**3.
-2*(b + 2)**3
Let i = 1686 + -3371/2. Determine o so that i*o - 1/2 + 9/2*o**2 + 2*o**4 + 11/2*o**3 = 0.
-1, 1/4
Let h be (97 + -122)*(-2)/70. Let x = 626/1071 - 2/153. Solve 9/7*b**3 - 8/7*b**2 + 0 - x*b + 8/7*b**4 - h*b**5 = 0 for b.
-1, -2/5, 0, 1, 2
Let i(r) be the third derivative of r**8/5880 - r**6/420 + r**5/210 - 11*r**3/6 - 20*r**2. Let a(n) be the first derivative of i(n). Solve a(u) = 0.
-2, 0, 1
Let d = 22857 + -22855. Factor -28 - 32/7*p**d - 2/7*p**3 - 22*p.
-2*(p + 2)*(p + 7)**2/7
Let d(p) = -3*p**3 + 10*p**2 + p - 12. Let q(i) = 65*i**3 - 220*i**2 - 20*i + 265. Let r(f) = 45*d(f) + 2*q(f). Find h, given that r(h) = 0.
-1, 1, 2
Let c = 2705/14 + -193. Let t(w) be the first derivative of -3/35*w**5 + c*w**2 + 1/7*w + 2/21*w**3 - 3 - 1/14*w**4 - 1/42*w**6. Suppose t(f) = 0. What is f?
-1, 1
Let z = 18253/30 - 3647/6. Determine p so that -27/5*p**3 + 81/5*p**4 + 0*p - 81/5*p**5 + 0 + z*p**2 = 0.
0, 1/3
Let o = 2 + 1. Let a = -49 + 52. Factor s**4 - 10*s + 7*s + o*s**3 - s**a + s - s**2.
s*(s - 1)*(s + 1)*(s + 2)
Let j be 154/(-35) + 2/5. Let b be (-6)/j*20/15. Factor 0*l - 2*l + 4*l**b - 2*l**2 - 2*l.
2*l*(l - 2)
Let p(j) = j**3 - j**2 - 4*j - 5. Let y be p(4). Let h be (-5)/(-18) + 6/y. Let 1/2*d**5 + 0 - h*d**3 + 0*d + 1/2*d**4 - 1/2*d**2 = 0. Calculate d.
-1, 0, 1
Let n(j) = 5*j**2 + 8*j + 7. Let r be n(-2). Let b = r + -11. Factor b*x**3 - 2/13*x**2 + 0 + 2/13*x**4 + 0*x.
2*x**2*(x - 1)*(x + 1)/13
Let f(j) be the third derivative of -1/63*j**4 + 0*j - 1/210*j**5 + 0 + 4/63*j**3 + 29*j**2. Factor f(i).
-2*(i + 2)*(3*i - 2)/21
Let m(d) be the third derivative of 0*d**3 - 1/1365*d**7 - 9*d**2 + 0 - 1/156*d**4 + 0*d + 1/780*d**6 + 1/390*d**5. Suppose m(v) = 0. Calculate v.
-1, 0, 1
Let l = 60/19 + -457/247. Let h = -229/195 + l. Suppose 0*j**2 + 2/15*j**3 + h*j**4 + 0*j + 0 = 0. What is j?
-1, 0
Let k(m) be the first derivative of -m**6/24 + m**5/20 + 3*m**4/16 - 5*m**3/12 + m**2/4 + 370. Determine c so that k(c) = 0.
-2, 0, 1
Let o(n) = -n**3 - n**2 + n. Let u(y) = 31*y**3 + 60*y**2 + 27*y + 2. Let k(h) = 4*o(h) + u(h). Factor k(c).
(c + 1)**2*(27*c + 2)
Factor 6 - 7*x + 82*x**2 - 5 - 76*x**2.
(x - 1)*(6*x - 1)
Let f(o) be the first derivative of 6/17*o**3 - 6/85*o**5 - 7/34*o**4 + 9 + 7/17*o**2 - 12/17*o. Find k such that f(k) = 0.
-3, -1, 2/3, 1
Let n(b) be the first derivative of -2/27*b**3 + 2/9*b + 8 + 1/18*b**4 - 1/9*b**2. Solve n(z) = 0 for z.
-1, 1
Let w(u) = u**2 - 14*u + 8. Let k be w(14). Let h(r) = -r**3 + 8*r**2 + r - 4. Let d be h(k). Solve d*m**2 + 9 + 16*m - 2 + 1 + 4 = 0 for m.
-3, -1
Let a(q) be the first derivative of -2/9*q - 2/9*q**2 + 15 - 2/27*q**3. Factor a(r).
-2*(r + 1)**2/9
Suppose -9*r - 46 = -11*r. Suppose -3 = s - 3*w, 5*s + 0 = -4*w + r. Suppose -11/5*c**4 - 3*c**s - 3/5*c**5 - 9/5*c**2 - 2/5*c + 0 = 0. Calculate c.
-1, -2/3, 0
Let o(h) be the first derivative of -h**4/24 + 2*h**3/3 + h**2/12 - 2*h + 360. Factor o(a).
-(a - 12)*(a - 1)*(a + 1)/6
Let w(o) be the first derivative of o**4/40 - 3*o**2/5 + 8*o/5 + 90. Factor w(g).
(g - 2)**2*(g + 4)/10
Let x(a) = 90*a**2 - 3405*a - 2313. Let w(h) = -7*h**2 + 262*h + 178. Let c(r) = 27*w(r) + 2*x(r). Find j such that c(j) = 0.
-2/3, 30
Let v(g) be the third derivative of -g**7/525 + g**6/300 + 13*g**5/150 - 5*g**4/12 + 4*g**3/5 - 13*g**2 - 11. Solve v(l) = 0.
-4, 1, 3
Let c = -37/7 - -179/14. Let s = c - 6. What is z in -9/4*z + 3/4*z**3 + 0*z**2 + s = 0?
-2, 1
Let r(v) be the third derivative of v**7/84 - v**6/2 + 83*v**5/12 - 55*v**4/2 + 605*v**3/12 - 2*v**2 + 12. Factor r(f).
5*(f - 11)**2*(f - 1)**2/2
Let j = -138 + 348. Let w be 6/(-20) + 63/j. Factor -6/11*y**5 - 6/11*y**3 + 6/11*y**2 + 4/11*y - 14/11*y**4 + w.
-2*y*(y + 1)**3*(3*y - 2)/11
Let u(k) = -111*k**2 - 591*k - 201. Let d(f) = f. Let m(p) = -11*p**2 - 65*p - 20. Let s(n) = 6*d(n) + m(n). Let q(a) = 21*s(a) - 2*u(a). Factor q(g).
-3*(g + 6)*(3*g + 1)
Let x be 0/16 + (2 - -1). Let k(f) = -f**2 + 12*f - 18. Let t(l) = 6*l - 9. Let s(w) = x*k(w) - 7*t(w). Suppose s(h) = 0. What is h?
-3, 1
Factor -4701940 + 2*d**3 - 439*d**2 + 507636 + 98304*d - 336*d**2 + 7*d**2.
2*(d - 128)**3
Factor -3/10*u**3 - 1/10*u**4 + 1/10*u**2 + 3/10*u + 0.
-u*(u - 1)*(u + 1)*(u + 3)/10
Solve 28/11 - 2/11*l**3 + 54/11*l + 24/11*l**2 = 0 for l.
-1, 14
Suppose -2*y = -4*f + 3*f + 22, 4*y + 5*f = -58. Let t = -9 - y. Factor g - 20*g**2 + 6*g + g + 16*g**t - 4*g**4.
-4*g*(g - 2)*(g - 1)**2
Suppose 6275 = -t + 6278. Factor 39/4*d**3 + 45/4*d**2 + t*d**4 + 3/4 + 21/4*d.
3*(d + 1)**3*(4*d + 1)/4
Let d(m) be the first derivative of -3*m**4/20 - 2*m**3/5 + 9*m**2/2 + 155. Factor d(y).
-3*y*(y - 3)*(y + 5)/5
Find u, given that 0 + 15/4*u**2 + 3/2*u + 3*u**3 + 3/4*u**4 = 0.
-2, -1, 0
Let u(d) = -d**3 - 2*d**2 - d - 4. Let x be u(-3). Let n(r) = 2*r - 10. Let w be n(x). Factor -3*q**3 - 2*q**5 + w*q**3 - 4*q**5 + 3*q**5.
-3*q**3*(q - 1)*(q + 1)
Let d = -8/1419 + 1435/2838. Suppose -1/2*a**3 + d*a + 0*a**2 - 1/4*a**4 + 1/4 = 0. Calculate a.
-1, 1
Let h(y) be the second derivative of y**4/3 - 32*y**3 + 270*y**2 - 79*y + 1. Find o such that h(o) = 0.
3, 45
Suppose 4*j - 5*m = 110, -j - 5*m = -10 - 5. Factor -20*w**4 + 696 + j*w**3 - 696 - 5*w**2.
-5*w**2*(w - 1)*(4*w - 1)
Suppose 3*i - 10 = 2*g, 3*g + 0 + 17 = 5*i. Let t(b) be the first derivative of -i + 3/7*b - 3/7*b**2 + 1/7*b**3. Factor t(w).
3*(w - 1)**2/7
Let j(u) = 7*u**4 - 15*u**3 - 8*u**2 + 15*u + 4. Let m(x) = 2*x**2 - x - 6*x**3 - 3*x**2 + 7*x**3. Let c(v) = -4*j(v) - 12*m(v). Let c(z) = 0. What is z?
-1, -2/7, 1, 2
Let c = -119 + 173. Suppose 10*h - 90 = 5*h + 3*q, -c = -3*h + 2*q. Let g**3 + h + 2*g + 5*g**2 - 4*g**2 - 19 - 3*g = 0. Calculate g.
-1, 1
Let t(u) be the second derivative of 1/54*u**4 - 4/27*u**3 + 0 - 5/9*u**2 + 2*u. Factor t(p).
2*(p - 5)*(p + 1)/9
Suppose 0 = -f + 19*f - 36. Let z(i) be the second derivative of -4*i**f - 2/5*i**5 + 4/3*i**3 + 6*i + 1/15*i**6 + 0 + 1/2*i**4. What is x in z(x) = 0?
-1, 1, 2
Let o(j) be the first derivative of -9/5*j**5 + 0*j + 20 + 6/5*j**4 + 0*j**2 - 4/15*j**3 + 5/6*j**6. What is t in o(t) = 0?
0, 2/5, 1
Let r be 231/198 - (5 + -3 + -1). Solve r*c**3 + 0*c + 0*c**2 + 0 - 1/6*c**4 = 0.
0, 1
Let z(t) be the third derivative of -t**2 + 0*t + 0 + 4/27*t**3 - 1/90*t**5 + 1/27*t**4. Factor z(l).
-2*(l - 2)*(3*l + 2)/9
Let u be (3/(-1))/(-6) - 7/(-4). Determine v, given that 0*v + 0 + u*v**2 - 3/4*v**3 = 0.
0, 3
Let k(o) = -266*o - o**3 - 268*o + 534*o. Let s(q) = q**4 - 9*q**3 + 9*q**2 - 7*q + 2. Let y(w) = -4*k(w) + s(w). Factor y(d).
(d - 2)*(d - 1)**3
Let k(h) be the third derivative of -h**10/151200 + h**8/6720 + h**7/2520 - 11*h**5/20 - 19*h**2. Let f(b) be the third derivative of k(b). Factor f(v).
-v*(v - 2)*(v + 1)**2
Let u(f) be the third derivative of f**6/70 - 5*f**5/28 + 3*f**4/4 - 9*f**3/14 + 6*f**2 + 4*f. Factor u(x).
3*(x - 3)**2*(4*x - 1)/7
Let j(c) be the first derivative of 1/2*c**2 - 2 + 2*c - 1/3*c**3. Factor j(a).
-(a - 2)*(a + 1)
Let l be 6 + -5 + 2/12 + (-10)/20. Factor -l*d**3 + 0 + 0*d + 4/3*d**2 - 2/3*d**4.
-2*d**2*(d - 1)*(d + 2)/3
Let y(j) be the first derivative of j**6/7 - 26*j**5/35 - j**4/14 + 2*j**3 - 2*j**2/7 - 16*j/7 + 84. Find u, given that y(u) = 0.
-1, -2/3, 1, 4
Let x(i) be the first derivative of i**3/6 - 13*i**2/4 - 15*i + 78. Factor x