 + s. Let j(q) = 9*q**3 - 57*q**2 + 114*q - 54. Let k(g) = -3*i(g) + j(g). Suppose k(u) = 0. Calculate u.
1, 18
Factor 0*s - 189*s**2 + 1 + 94*s**2 + 94*s**2 + 0*s.
-(s - 1)*(s + 1)
Let m(s) be the first derivative of -s**4/4 - 11*s**3/3 - 19*s**2/2 - 9*s - 63. Factor m(t).
-(t + 1)**2*(t + 9)
Let l(t) be the second derivative of 5*t**4/12 - 5*t**3 + 20*t**2 + t + 25. Factor l(i).
5*(i - 4)*(i - 2)
Let y(m) = m**3 - 3*m**2 + 6*m - 5. Let w be y(2). Let p(u) be the second derivative of 1/2*u**4 + u - 1/10*u**5 - 4*u**2 + 0 + 0*u**w. Factor p(z).
-2*(z - 2)**2*(z + 1)
Let l(j) be the first derivative of 2*j**3/15 - 4*j**2/5 + 6*j/5 - 77. Solve l(x) = 0.
1, 3
Let r(k) be the first derivative of -128*k**2 + 0*k + 10 - k**4 + 64/3*k**3. Factor r(j).
-4*j*(j - 8)**2
Let u(p) be the third derivative of 0*p + 0*p**3 + 1/100*p**5 - 1/60*p**4 + 0 - 2*p**2 - 1/1050*p**7 + 0*p**6. Factor u(n).
-n*(n - 1)**2*(n + 2)/5
Solve 8/3 - 88/9*a + 70/9*a**2 + 4/9*a**3 - 10/9*a**4 = 0 for a.
-3, 2/5, 1, 2
Let o(q) = -4*q**2 + 2*q + 35. Let m be o(0). Let d be (-30)/m*3/(-6). Determine f so that d*f**3 - 3/7*f**2 + 3/7 - 3/7*f = 0.
-1, 1
Let k(x) be the second derivative of 13*x + 0 + 1/189*x**7 - 1/54*x**4 - 4/9*x**2 - 1/18*x**5 + 8/27*x**3 + 1/135*x**6. Solve k(r) = 0.
-2, 1
Let q(c) = -5*c**2 - 235*c. Let v be q(-47). Let r be ((-1)/6)/(2/(-4)). Factor v - 4/3*h - r*h**2.
-h*(h + 4)/3
Suppose -y - 2*i + 3 = 0, -y + 0 + 8 = -3*i. Let h be 23/5 + 2/y. Factor -o**2 + 5*o**5 - o**4 - 4*o**h + o**2.
o**4*(o - 1)
Let d(k) be the second derivative of -25*k**7/357 + k**6/51 + 8*k**5/85 + 2*k**4/51 + 85*k. Find j such that d(j) = 0.
-2/5, 0, 1
Let d(m) be the second derivative of -m**5/5 + 2*m**3/3 - 3*m**2/2 + 23*m + 1. Let b(o) = -o**3 + o - 1. Let j(v) = 12*b(v) - 4*d(v). Let j(p) = 0. What is p?
-1, 0, 1
Let d(i) be the third derivative of -i**8/336 + i**7/105 + i**6/60 - i**5/15 - i**4/24 + i**3/3 + 51*i**2. Solve d(w) = 0.
-1, 1, 2
Let b(h) = -9*h**2 + 4*h - 2. Let i(v) = -15 + 4 - 9*v + 17*v**2 + 16. Let s(t) = 5*b(t) + 2*i(t). Solve s(m) = 0 for m.
0, 2/11
Let r = -128 - -95. Let k be 3/(-5) + r/(-55) - -3. Factor 38/13*o**k + 4/13 - 30/13*o**2 + 2/13*o - 14/13*o**4.
-2*(o - 1)**3*(7*o + 2)/13
Suppose -3*a - 3*s = a - 352, 2*s - 352 = -4*a. Let j = a - 86. Let -16/9 - 220/9*n**j - 50/3*n**3 - 104/9*n = 0. Calculate n.
-2/3, -2/5
Suppose -22/3*u**2 + 24 - 20*u + 11/3*u**3 - 1/3*u**4 = 0. Calculate u.
-2, 1, 6
Suppose -75/4*a + 37/4 - 1/4*a**3 + 39/4*a**2 = 0. Calculate a.
1, 37
Let v(r) be the second derivative of 0*r**2 + 33/20*r**5 - 2*r**4 - 3/10*r**6 + 0 - 11*r - 2*r**3. Determine l so that v(l) = 0.
-1/3, 0, 2
Let g be 4/(-6)*3 - 9. Let i = g + 13. Factor f**2 - f**i + f**2 - f - f**4 + f**3.
-f*(f - 1)**2*(f + 1)
Let v = 758 + -755. Factor 10*i + 5/3 + 15*i**2 + 20/3*i**v.
5*(i + 1)**2*(4*i + 1)/3
Let h(l) = 876*l**2 + 4*l**5 - 876*l**2 - 12*l**4 - 5 + 3*l**3. Let o(s) = 2*s**5 - 6*s**4 + 2*s**3 - 2. Let x(z) = -2*h(z) + 5*o(z). Factor x(w).
2*w**3*(w - 2)*(w - 1)
Let l(n) = -n**2 - 149*n - 2470. Let y be l(-19). Factor 3/7*m**3 - 3/7*m**2 + y*m + 0.
3*m**2*(m - 1)/7
Factor 864/5 + 2/15*b**2 - 48/5*b.
2*(b - 36)**2/15
Suppose 0 = 2*x + 4*l - 14, x - 3*x + 6 = -4*l. Suppose 4*g - d + 0*d + 5 = 0, 2*d = x*g + 10. Factor -h**4 - 6*h**5 - 8*h**4 + 6*h**3 + 9*h**5 + g*h**3.
3*h**3*(h - 2)*(h - 1)
Let c(t) = -10*t**2 - 145*t - 670. Let o(d) = -d**2 - 18*d - 84. Let y(i) = -3*c(i) + 25*o(i). Factor y(s).
5*(s - 6)*(s + 3)
Let l(t) = t**3 + 6*t**2 + 2*t + 18. Let b be l(-6). Suppose -5*s - d + 9 = 0, 4*s - b*s + 8 = -4*d. Factor -2/3*r**3 + 0 - 1/3*r**s + 2/3*r + 1/3*r**4.
r*(r - 2)*(r - 1)*(r + 1)/3
Factor -3/2*o + 0 + o**3 - 2*o**2 + 2*o**4 + 1/2*o**5.
o*(o - 1)*(o + 1)**2*(o + 3)/2
What is p in 9*p**4 - 8 - 2*p - 8*p**4 - 3*p + 6*p**3 - p + 7*p**2 = 0?
-4, -2, -1, 1
Factor -37/4*p**2 - 81 - 1/4*p**3 - 90*p.
-(p + 1)*(p + 18)**2/4
Suppose 0 = -0*p - p - 3*y + 52, y = p - 68. Determine s so that -64 - 20*s**2 - 21*s - p + 18*s**2 - 11*s = 0.
-8
Let v(q) = -7*q**3 - 3*q**2 + 4*q - 6. Let o = 73 - 79. Let j(z) = 6*z**3 + 3*z**2 - 3*z + 5. Let n(u) = o*j(u) - 5*v(u). What is i in n(i) = 0?
-2, -1, 0
Let h(n) be the first derivative of 7/6*n**2 - 11 + 5/12*n**4 - 1/3*n - 11/9*n**3. Determine u so that h(u) = 0.
1/5, 1
Let o(l) be the second derivative of -l**5/10 + 7*l**4/12 + 34*l**3/3 + 16*l**2 + 105*l. Factor o(d).
-(d - 8)*(d + 4)*(2*d + 1)
Let f(t) be the first derivative of -t**5 + 25*t**3/3 - 20*t - 83. Let f(y) = 0. Calculate y.
-2, -1, 1, 2
Let r(w) = -69*w**2 + 648*w + 207. Let s(v) = 17*v**2 - 162*v - 52. Let t(q) = -4*r(q) - 15*s(q). Factor t(b).
3*(b - 8)*(7*b + 2)
Let m be (3 - (-5 + (-94)/(-11)))/(64/(-528)). What is j in 9/2*j**2 + 3/2 - m*j - 3/2*j**3 = 0?
1
Determine h, given that -6 + 3/4*h**2 - 21/4*h = 0.
-1, 8
Suppose 11*q - 216 = -61*q. Let n(p) be the first derivative of 1/4*p**4 + 1/5*p**5 + 0*p**2 + 0*p**q + 0*p + 3. Suppose n(t) = 0. Calculate t.
-1, 0
Let s be 26/16 + 15/40. Factor -5*m**3 + m**s - 4*m**2 + 2*m**3.
-3*m**2*(m + 1)
Suppose -2*n - 2*i + 4*i = -14, -2 = -2*n - 2*i. Let d be (-4)/(-7)*((-8897)/403)/(-41). Solve -2/13*f + 2/13*f**3 + d*f**2 - 4/13*f**n + 0 = 0 for f.
-1, 0, 1/2, 1
Let v(z) be the first derivative of -z**5/25 + 2*z**3/15 - z/5 - 187. Factor v(h).
-(h - 1)**2*(h + 1)**2/5
Suppose f + 4*h = -11, -11 - 7 = f - 3*h. Let c be ((-20)/f)/(14/21). Find w, given that 0 - 18/11*w**c - 4/11*w = 0.
-2/9, 0
Let v(a) = -a**2 - 11*a - 7. Let h be v(-8). Suppose 3 = 4*c - h. Suppose -26*m**3 - 4*m**c - 4/3 + 53/3*m**4 + 0*m + 41/3*m**2 = 0. What is m?
-1/4, 2/3, 1, 2
Let h be (-35)/(-15) + ((-2)/(-3))/(-2). Solve -9*p**4 - 6*p**4 - 14*p**2 + 3*p**3 + 2*p**h - 3*p**5 - 27*p**3 = 0 for p.
-2, -1, 0
Let h(n) = -n**3 + 9*n**2 - 9*n + 11. Let w(s) = 4*s - 16. Let a be w(6). Let d be h(a). Solve 1/2*j - 1/2*j**d + 1/2*j**2 - 1/2 = 0.
-1, 1
Let s(t) be the third derivative of -t**5/120 + t**4/16 + 3*t**3/2 + 8*t**2 + 1. Factor s(g).
-(g - 6)*(g + 3)/2
Factor -24*d - 4*d**3 - d**2 - 11*d**2 + d**3 - 2*d**2 - 13*d**2.
-3*d*(d + 1)*(d + 8)
Let w be 4/(-10)*(225 + -230). Let -1/5*c**w + 3/5*c - 2/5 = 0. Calculate c.
1, 2
What is b in 3/4*b**4 - 21/4*b**2 + 0 + 3*b + 3/2*b**3 = 0?
-4, 0, 1
Let v(f) be the first derivative of -9/2*f**4 + 81*f**2 - 3/5*f**5 - 33 + 0*f**3 + 243*f. Suppose v(t) = 0. Calculate t.
-3, 3
Factor 20*p**2 - 180*p - 33*p**5 + 38*p**5 + 135*p**3 - 5*p**4 - 55*p**4.
5*p*(p - 9)*(p - 2)**2*(p + 1)
Let x(w) be the third derivative of 23*w**6/40 - 47*w**5/10 + 25*w**4/2 - 4*w**3 + 150*w**2. Determine i so that x(i) = 0.
2/23, 2
Let q(h) be the third derivative of h**7/504 - h**6/360 - h**5/30 - h**4/18 + 5*h**3/6 - 5*h**2. Let u(n) be the first derivative of q(n). Factor u(c).
(c - 2)*(c + 1)*(5*c + 2)/3
Let l be ((-6)/10)/((-576)/160). Let p(b) be the second derivative of l*b**3 + 1/126*b**7 + 1/18*b**4 - 1/15*b**5 + 0*b**6 + 0 + 6*b - 1/3*b**2. Factor p(d).
(d - 1)**3*(d + 1)*(d + 2)/3
Let j(o) be the first derivative of -33 - 4*o**3 + 0*o + 0*o**2 - 27/4*o**4 - 18/5*o**5 - 1/2*o**6. Factor j(w).
-3*w**2*(w + 1)**2*(w + 4)
Determine o so that 8/3 - 1/3*o**4 - 5/3*o**3 - 2*o**2 + 4/3*o = 0.
-2, 1
Let x(b) = -b**3 - 11*b + 6. Let t(y) = 2*y**3 - 2*y**2 + 22*y - 12. Let u(r) = -3*t(r) - 5*x(r). Determine i so that u(i) = 0.
1, 2, 3
Determine s, given that -136*s**4 - 10*s**3 + 13*s**2 + 131*s**4 + 22*s**2 - 20*s = 0.
-4, 0, 1
Let t(q) be the second derivative of 0*q**2 + 0*q**5 + 0 + 1/28*q**7 - 1/4*q**4 + 1/10*q**6 - 29*q - 1/4*q**3. Solve t(k) = 0 for k.
-1, 0, 1
Let h(y) be the first derivative of -5*y**4/72 + y**3/36 - 17*y + 43. Let n(q) be the first derivative of h(q). Find f such that n(f) = 0.
0, 1/5
Let f(c) be the first derivative of 4*c**3/15 - 401*c**2/5 - 402*c/5 + 461. Factor f(d).
2*(d - 201)*(2*d + 1)/5
Factor -1/4*s**3 + 0*s + 0 - 11/2*s**2.
-s**2*(s + 22)/4
Let a = 617 + -614. Let -2/5*d**2 + 4/5*d**a - 4/5 - 2*d = 0. Calculate d.
-1, -1/2, 2
Let c(r) be the first derivative of r**4/26 - 2*r**3/13 + 3*r**2/13 - 2*r/13 - 132. Factor c(n).
2*(n - 1)**3/13
Factor 423/2*w + 59643/4 + 3/4*w**2.
3*(w + 141)**2/4
Let g = 138 - 109. Suppose -6*l + 47 = g. Factor 1/4*u**4 - 1/4*u**2 + 0 + 1/4*u**5 - 1/4*u**l + 0*