-189/4*x**2 - 3/4*x**4 - 243/4*x + d + 51/4*x**3.
-3*x*(x - 9)**2*(x + 1)/4
Let v(q) be the third derivative of 0*q - 1/240*q**6 + 1/3*q**3 - 1/420*q**7 + 89*q**2 + 0 - 11/48*q**4 + 3/40*q**5. Find p, given that v(p) = 0.
-4, 1
Let u be 9/18*(-8)/(-4450). Let i = u - -15569/6675. Factor -2*q - i + 1/3*q**2.
(q - 7)*(q + 1)/3
Factor 3099*f**2 - 907*f - 1300*f**2 + 4*f**3 - 1467*f**2 - 878*f + 2944 - 1495*f.
4*(f - 8)*(f - 1)*(f + 92)
Let x(a) be the first derivative of -1/15*a**6 + 7 + 3/10*a**5 + 2*a**2 + 9*a - a**3 - 1/6*a**4. Let l(y) be the first derivative of x(y). Factor l(z).
-2*(z - 2)*(z - 1)**2*(z + 1)
Suppose -263424/5 - 6384/5*h**2 - 4/5*h**4 + 67424/5*h + 264/5*h**3 = 0. Calculate h.
14, 24
Let f(n) = 9*n**2 + 60*n - 13. Let h be f(-7). Factor -42*d**5 - 6*d**3 + 15*d**5 - 25*d**4 - h*d**4.
-3*d**3*(d + 1)*(9*d + 2)
Suppose -5*n = -25, 0 = -2*h - 0*h - n + 13. Let r(p) be the first derivative of -15 + 0*p + 3/2*p**h + 6*p**2 + 22/3*p**3. Solve r(t) = 0 for t.
-3, -2/3, 0
Let m be (-64)/(-18) - ((-186)/(-66) + 6/33). Let z(g) be the first derivative of -m*g**3 - 2/3*g**2 + 1/3*g - 19. Suppose z(q) = 0. What is q?
-1, 1/5
Let h(t) = -t**3 - 3*t**2 + 12*t + 14. Let b be h(-6). Let x be -1 + 6 + (-4 - 15/b). Factor 1/5 + x*l - 2/5*l**2.
-(l - 2)*(4*l + 1)/10
Determine h, given that 3928*h**2 + 445*h**4 - 22257128*h**3 + 22263576*h**3 + 183*h**4 + 18772 - 29792*h + 16*h**5 = 0.
-19, -13/4, 1
Let f(d) be the third derivative of -d**8/1680 - 3*d**7/175 - 4*d**6/75 + 2310*d**2 + 2. Determine x so that f(x) = 0.
-16, -2, 0
Let 536/5*q**4 - 36992/5*q**2 + 0 + 4/5*q**5 + 0*q + 17408/5*q**3 = 0. What is q?
-68, 0, 2
Let p(m) be the first derivative of -9*m**5/25 + 33*m**4/5 + 18*m**3/5 - 66*m**2/5 - 9*m - 3293. Find y such that p(y) = 0.
-1, -1/3, 1, 15
Let a(f) = f**5 - 2*f**3 - f**2 + f - 2. Let y(o) = -24*o**5 + 60*o**4 - 114*o**3 + 177*o**2 - 102*o + 48. Let b(t) = -15*a(t) - y(t). Factor b(s).
3*(s - 3)*(s - 1)**3*(3*s - 2)
Let a = -1 + 36. Let d be 7*15/a*2. Solve -j + 12*j - 12*j + d + 3*j**2 + 10*j = 0.
-2, -1
Let i(j) be the first derivative of 91 + 5/2*j**4 - 14/3*j**3 + 24*j - 28*j**2. Find n, given that i(n) = 0.
-2, 2/5, 3
Suppose -2*s + 4 = -s, 0 = -z + 4*s + 31. Let y = z + -45. Factor -36*f + 2 - y*f**3 + 8*f**2 + 26*f + 2.
-2*(f - 2)*(f - 1)**2
Let u(h) be the third derivative of -h**7/1008 - h**6/96 - h**5/24 - 23*h**4/12 + 76*h**2. Let l(i) be the second derivative of u(i). Factor l(o).
-5*(o + 1)*(o + 2)/2
Let n be (-26 - ((-63714)/2665 + -10)) + 1 + 34/(-26). Let 8*h**5 + 46/5*h**4 - 2/5*h - n*h**3 - 10*h**2 + 4/5 = 0. Calculate h.
-1, -2/5, 1/4, 1
Let g(b) be the first derivative of b**6/45 + 11*b**5/30 + 35*b**4/18 + 25*b**3/9 + 61*b - 52. Let j(w) be the first derivative of g(w). Factor j(s).
2*s*(s + 1)*(s + 5)**2/3
Let g = 3/252250 - -63058/378375. Solve -41/6*t - g*t**2 - 20/3 = 0 for t.
-40, -1
Let j(a) be the third derivative of a**8/26880 + 11*a**7/6720 + a**6/40 + 23*a**5/60 + a**4/6 - 149*a**2. Let y(c) be the third derivative of j(c). Factor y(x).
3*(x + 3)*(x + 8)/4
Let l(y) be the second derivative of 0 - 1/14*y**7 + 0*y**2 - y**4 + 4*y**3 - 9/10*y**5 + 1/2*y**6 - 53*y. Factor l(v).
-3*v*(v - 2)**3*(v + 1)
Let t be ((-17)/119)/(8/(-42)). Let g(f) be the first derivative of f**3 - 3*f - 3/2*f**2 + t*f**4 + 18. Factor g(z).
3*(z - 1)*(z + 1)**2
Let r(y) = -y**3 + 28*y**2 - 24*y - 77. Let d be r(27). Let w(a) be the first derivative of a**d + 0*a**5 + 0*a**3 + 0*a + 18 - 2/3*a**6 + 0*a**2. Factor w(l).
-4*l**3*(l - 1)*(l + 1)
Let q be 153800/2307*((-54)/195)/(-3). Factor 36/13*v - 2/13*v**2 + q.
-2*(v - 20)*(v + 2)/13
Let s = -556974/5 + 111395. Find d such that -s*d**2 + 0 + 29/5*d = 0.
0, 29
Let t(j) be the third derivative of 2*j - 28*j**2 - 125/16*j**5 - 1/2*j**3 + 0 + 25/8*j**4. Let t(q) = 0. What is q?
2/25
Suppose -4 = -3*p + 3*l + 2, -3*l = 0. Determine g so that 14*g**2 - 1 + 53*g + 13 - 35*g**2 + 19*g**p + 15 = 0.
-1/2, 27
Let q = 3/65332 + 97995/65332. Factor 1/2*v**2 + 0 + q*v.
v*(v + 3)/2
Let x(q) be the first derivative of -q**7/21 - 2*q**6/5 - 9*q**5/10 - 2*q**4/3 - 18*q - 102. Let b(a) be the first derivative of x(a). Solve b(h) = 0 for h.
-4, -1, 0
Let l be (-5625)/(-2375) + 2*-1. Let h(x) be the first derivative of -2/19*x - 3 - 8/19*x**3 + l*x**2. Solve h(w) = 0 for w.
1/4, 1/3
Let a(q) = -q + 52. Let z be a(21). Factor -20*c + z*c**3 + 4 - 15*c**2 - 26*c**3 + 11 + 13 + 32.
5*(c - 3)*(c - 2)*(c + 2)
Let f(a) = -2*a**5 + a**4 + 2*a**3 - 11*a**2 + 5*a. Let w = 98 + -95. Let d(y) = y**5 - y**3 + 6*y**2 - 3*y. Let z(b) = w*f(b) + 5*d(b). Solve z(g) = 0 for g.
-1, 0, 1, 3
Suppose -11*b = -42*b - 33170. Let s = 1073 + b. Let 4 - 3*m**2 - 7/4*m**s - 1/4*m**4 + m = 0. Calculate m.
-4, -2, 1
Let r(u) = -4*u**5 + 14*u**4 - 26*u**3 + 24*u**2 - 8*u - 2. Let d(b) = -389*b**2 - b**5 + 389*b**2 - 1 + b**4. Let q(p) = 4*d(p) - 2*r(p). Factor q(i).
4*i*(i - 2)**2*(i - 1)**2
Let n(x) be the third derivative of x**9/60480 - x**8/6048 + x**7/5040 - x**5/5 + x**3/6 - 33*x**2. Let y(r) be the third derivative of n(r). Factor y(f).
f*(f - 3)*(3*f - 1)/3
Let j(u) be the first derivative of 0*u - 1/2*u**4 + 4*u**3 + 0*u**2 + 75. Determine c, given that j(c) = 0.
0, 6
Let u(m) = m**3 + 16*m**2 - 121*m + 314. Let h(i) = -i**3 - 14*i**2 + 120*i - 320. Let n(q) = -6*h(q) - 5*u(q). Factor n(a).
(a - 5)**2*(a + 14)
Let w(g) = 2*g - 4. Let c be w(5). Let r = 90 + -86. Let c*f**3 - 3*f**r - 134 + 134 - 3*f**2 = 0. What is f?
0, 1
Suppose -3*y - 4*g - 3948 = y, -2979 = 3*y - 3*g. Let h be 4 - (y/35)/(-9). Factor 3/7*w**4 + 0*w + 0 + h*w**2 + 9/7*w**3.
3*w**2*(w + 1)*(w + 2)/7
Suppose d + 2466 = 3*v, 17*d - 13*d = v - 822. Let l = v - 812. Factor 5/3*q**3 + l*q - 1/6*q**4 - 6 - 37/6*q**2.
-(q - 3)**2*(q - 2)**2/6
Let c be (-99)/(-645) - (-6)/(-129)*-1. Determine h so that 6/5*h + c*h**2 + 9/5 = 0.
-3
Let z(p) = -p**3 + p**2 - 17*p + 7. Let t be z(3). Let a = t + 64. Factor -27/4*n - 21/4*n**3 + 45/4*n**a + 0 + 3/4*n**4.
3*n*(n - 3)**2*(n - 1)/4
Factor -3*j**3 - 23*j + 14 - 9*j**3 + 10*j**2 - j**3 - 3*j + 15*j**3.
2*(j - 1)**2*(j + 7)
Suppose -57*g - 35*g + 16*g + 380 = 0. Let c be (-36)/(-15) - 4/10. Find w, given that 20*w**3 + w - 135*w**c - 21*w + 140*w**2 - g*w**4 = 0.
-1, 0, 1, 4
Let b(r) be the first derivative of 3/2*r**2 - 3/2*r**4 - 51 - 6*r + 4*r**3 - 6/5*r**5 + 1/2*r**6. Determine d so that b(d) = 0.
-1, 1, 2
Let z = -15 - -18. Suppose -3*j = z*j - 12. Determine r so that -r + r**4 - 5*r**j + 3*r - 3*r**5 + r**3 + 4*r**4 = 0.
-1, 0, 2/3, 1
Let f(m) be the third derivative of -m**8/36960 - m**7/4620 + 11*m**4/24 - m**3/6 - 24*m**2. Let c(p) be the second derivative of f(p). What is j in c(j) = 0?
-3, 0
Let d = -595 - -593. Let m be -3 + 2/d + 0 + 4. Determine y so that -16/5*y**3 + m + 2*y**2 + 12/5*y - 6/5*y**4 = 0.
-3, -2/3, 0, 1
Let g = -1/344 + 12901/344. Let d be ((-3)/10)/(187/374*(-4)/50). Factor -35/4*k**3 + d - 145/4*k + g*k**2.
-5*(k - 3)*(k - 1)*(7*k - 2)/4
Let t = 73 + 597. Let b = t + -670. Solve 0 - 2/3*d**3 - 1/3*d**2 - 1/3*d**4 + b*d = 0.
-1, 0
Suppose 4*k = -3*g + 72, -52*k = -47*k + 5*g - 90. Let f be (5/20)/(k/240). Factor -2*s**4 - f*s**3 + 0 - 4/3*s**2 + 0*s.
-2*s**2*(s + 1)*(3*s + 2)/3
Let g(w) be the second derivative of 0 - 4*w**4 + 41/2*w**3 - 39*w**2 - 51*w + 3/20*w**5. Suppose g(k) = 0. What is k?
1, 2, 13
Let v(k) be the second derivative of k**6/120 + 11*k**5/80 - 35*k**4/6 - 833*k**3/6 - 8826*k. Solve v(m) = 0.
-14, 0, 17
Let l(k) = k**3 - 48*k**2 + 29*k - 3820. Let f be l(49). Solve 2/5*h - 3/5 + 1/5*h**f = 0.
-3, 1
Let d(w) be the third derivative of w**7/840 - w**6/15 - 67*w**5/240 - 17*w**4/48 + 25*w**2 - 12*w + 7. Factor d(j).
j*(j - 34)*(j + 1)**2/4
Let t(r) = -55*r**4 - 40*r**3 - 175*r**2 + 175*r - 25. Let b(s) = 2*s**4 - s**3 - s**2 - 7*s + 1. Let f(j) = -25*b(j) - t(j). Factor f(p).
5*p**2*(p + 5)*(p + 8)
Let i = 75186 - 75184. Suppose 4*u**i + 12/7*u**3 - 2/7*u**4 - 2/7*u**5 + 22/7*u + 6/7 = 0. What is u?
-1, 3
Let z = -1216845 - -13385305/11. Solve 16/11*r - z*r**2 + 2/11*r**3 - 8/11 = 0 for r.
1, 2
Let m(w) = 6*w - 7. Let j be m(2). Let x(c) = 482*c - 26507. Let s be x(55). Determine y so that -50*y**4 + 372/7*y**s + 0 - 136/7*y**2 + 14*y**j + 16/7*y = 0.
0, 2/7, 1, 2
Let