6*k**2. Suppose n(g) = 0. Calculate g.
0
Let q = 0 - -2. Determine i so that -16 + 3*i**2 - i**2 + q*i**2 = 0.
-2, 2
Let x(i) be the third derivative of -i**8/336 + 2*i**7/105 + 7*i**6/120 - i**5/6 - 29*i**2 - 2*i. Factor x(k).
-k**2*(k - 5)*(k - 1)*(k + 2)
Suppose 0*h = -4*h. Let g(x) be the third derivative of -x**2 + 2/3*x**3 + 0 + 0*x**4 + h*x - 1/60*x**5. Find o such that g(o) = 0.
-2, 2
Let t be (16/(-64))/(6/(-120)) - 6/2. Factor -2/3*d**t + 2/3*d**4 + 0 - 2/3*d**3 + 2/3*d.
2*d*(d - 1)**2*(d + 1)/3
Factor g**3 + 0*g**3 + 18*g + 30*g**2 - 31*g - 50*g - 4*g**3.
-3*g*(g - 7)*(g - 3)
Let q(w) be the first derivative of -7*w**6/135 + w**5/3 - 4*w**4/27 + 2*w - 35. Let j(l) be the first derivative of q(l). Let j(m) = 0. Calculate m.
0, 2/7, 4
Let o(x) be the second derivative of x**4/30 + 76*x**3/15 + 1444*x**2/5 + x - 275. Let o(a) = 0. What is a?
-38
Factor 11 + 5 - 920*y + 4 + 4 + 42320*y**2 - 19.
5*(92*y - 1)**2
Let q = 104 + -338. Let g be (-36)/q - (-18)/52. Determine d, given that 0*d - 1/2*d**2 + g*d**3 + 0 = 0.
0, 1
Let y = -9 - -12. Suppose 4*p - 15 = -0*p - 3*t, 4*t - 13 = -y*p. What is x in -4*x + x**p + x + 2*x - x**4 + x**2 + 0*x**2 = 0?
-1, 0, 1
Let g(j) be the third derivative of j**7/1260 - 7*j**6/720 + j**5/90 + j**4/12 - 94*j**2. Factor g(z).
z*(z - 6)*(z - 2)*(z + 1)/6
Let g be (-18 - (-6969)/391)*-17. Factor -2/5*p**2 + 0 + 2/15*p**g + 4/15*p.
2*p*(p - 2)*(p - 1)/15
Let m(g) = -2*g**3 + 7*g**2 + 5*g - 2. Let i be m(-1). Factor i*l - 1/3*l**2 + 0.
-l*(l - 6)/3
Let q(c) be the third derivative of -12*c**2 + 1/144*c**4 + 0*c**3 + 1/180*c**5 + 1/720*c**6 + 0*c + 0. Find j, given that q(j) = 0.
-1, 0
Let c(b) be the second derivative of 1/210*b**7 - 1/30*b**4 - 1/100*b**5 + 0*b**2 + 1/75*b**6 + 0 + 8*b + 0*b**3. Factor c(y).
y**2*(y - 1)*(y + 1)*(y + 2)/5
Let i(j) = 2*j**2 + 6*j + 4. Let v(f) = -2*f**2 - 7*f - 5. Let l(c) = c**3 - 6*c + 6. Let w be l(2). Let m(a) = w*v(a) + 3*i(a). Suppose m(s) = 0. Calculate s.
-1
Suppose 39 = 5*d + 3*f + 15, -3 = 3*d - 4*f. Determine m, given that 2*m**2 - 7*m**2 + d*m + 3*m**2 - m**3 = 0.
-3, 0, 1
Let f be (-6)/((-36)/214) - 2/3. Factor f*l - 31*l + 3*l**2 - 5*l**2.
-2*l*(l - 2)
Let j(w) be the second derivative of w**4/90 + 4*w**3/45 + w**2/5 - 300*w. Factor j(q).
2*(q + 1)*(q + 3)/15
Factor 1/7*u**2 + 0 - 27/7*u.
u*(u - 27)/7
Let h(k) be the third derivative of 3*k**6/20 - 83*k**5/20 - 13*k**4 - 15*k**3/2 + 636*k**2. Determine s, given that h(s) = 0.
-1, -1/6, 15
Let m be 1/(-14) + (3 - 5/(-40)*-20). Factor m*r**4 + 0 + 0*r**2 + 0*r + 3/7*r**3.
3*r**3*(r + 1)/7
Let z(w) be the second derivative of 0 + 0*w**2 - 2/3*w**4 - 3/10*w**5 + 4/3*w**3 - 1/21*w**7 - 13*w + 4/15*w**6. Solve z(p) = 0 for p.
-1, 0, 1, 2
Let o be (-1049)/210 + (-8)/((-72)/45). Let b(a) be the third derivative of 0*a**3 + 0*a**4 + 0*a**6 - o*a**7 + 1/60*a**5 + 0*a + 8*a**2 + 0. Factor b(v).
-v**2*(v - 1)*(v + 1)
Let b be -5 - 2*27/(-6). Factor -2*p**2 + p**3 + 3*p**3 + 10*p**4 - 32*p - 8*p**b + 28*p.
2*p*(p - 1)*(p + 1)*(p + 2)
Let w = 72068/8031 + -128928887/36099345. Let r = -2/899 + w. Factor -6/5 + r*f**3 - 12*f**2 + 39/5*f.
3*(f - 1)**2*(9*f - 2)/5
Suppose -3*z - 2*g = -17, -g + 133 = -z + 132. Factor -1/5*b**5 - 2/5*b**4 + 0*b**z + 2/5*b**2 + 0 + 1/5*b.
-b*(b - 1)*(b + 1)**3/5
Suppose 4*x + 12 = 4*p, -1 = p - 0*x - 3*x. Suppose -d + p = -3*h - 6, -h - 11 = -4*d. Factor 4*c**d - 2*c - 8 + 2*c + 3*c + c.
4*(c - 1)*(c + 2)
Let q(i) be the first derivative of 1/6*i**4 + 1/9*i**3 - 24 - 2/3*i**2 - i. Factor q(l).
(l + 1)**2*(2*l - 3)/3
Factor 30*b**4 - 5*b**5 - 14*b - 2*b - 65*b**3 - 4*b + 2062*b**2 - 2002*b**2.
-5*b*(b - 2)**2*(b - 1)**2
Let n(s) = -20*s + 15. Let j be n(1). Let z be 4 + (-5 - j) - 1. Factor 4/7*o + 6/7*o**z + 0 + 2/7*o**4 - 10/7*o**2 - 2/7*o**5.
-2*o*(o - 1)**3*(o + 2)/7
Let i be ((840/18)/(-7))/(4/(-6)). Let l be i/33*90/50. What is z in -14/11*z**2 - 36/11*z**5 + 0 + 2/11*z + 26/11*z**3 + l*z**4 = 0?
-1, 0, 1/3, 1/2
Let u = 2807/2 + -8417/6. Factor -2/3*i**3 + 0 + 4/3*i + u*i**2.
-2*i*(i - 2)*(i + 1)/3
Let i = 674/1477 + -36/211. Factor -i*n**4 - 4/7*n**3 + 0*n + 0 - 2/7*n**2.
-2*n**2*(n + 1)**2/7
Let z(d) be the first derivative of 2*d**7/105 + d**6/15 + d**5/15 - 7*d**2 - 1. Let a(h) be the second derivative of z(h). Find x such that a(x) = 0.
-1, 0
Let j(m) be the second derivative of 10*m - 11/18*m**4 - 8/3*m**2 + 0*m**5 + 1/45*m**6 + 0 - 2*m**3. Factor j(h).
2*(h - 4)*(h + 1)**2*(h + 2)/3
Let i(u) be the third derivative of u**6/1440 - u**4/24 + 4*u**3 - 9*u**2. Let q(j) be the first derivative of i(j). Factor q(n).
(n - 2)*(n + 2)/4
Suppose g = 6 - 2. Suppose -c - x - 12 = 3*x, -5*x - 36 = -g*c. Suppose 4*v - 2*v + 2*v - 8*v**3 + c*v**5 + 0*v**5 = 0. What is v?
-1, 0, 1
Let n(v) = -12*v**5 + 48*v**4 - 60*v**3 + 16*v**2 - 8*v. Let o(c) = 4*c**5 - 16*c**4 + 20*c**3 - 5*c**2 + 3*c. Let t(z) = 3*n(z) + 8*o(z). Factor t(p).
-4*p**2*(p - 2)*(p - 1)**2
Let g(l) be the third derivative of l**11/1330560 - l**10/604800 + l**5/5 + 2*l**2. Let z(a) be the third derivative of g(a). What is q in z(q) = 0?
0, 1
Let c = -103 - -98. Let u = -3 - c. Factor -1/2*z**u + 0*z + 1/2.
-(z - 1)*(z + 1)/2
Let m(o) = -o**3 + 18. Let x be m(0). Let x*q**2 - 6*q - 15*q**2 - 3*q - 12 = 0. Calculate q.
-1, 4
Determine l, given that 3/2*l**2 - 1/2*l**4 - 1 - 1/2*l**3 + 1/2*l = 0.
-2, -1, 1
Let t be 3264/768 + (-2)/(8/5). Let w(a) be the first derivative of 2 + 36/7*a**2 - 12/7*a - t*a**3 - 21/4*a**4. Factor w(f).
-3*(f + 1)*(7*f - 2)**2/7
Suppose 4*d - 14 = -3*a, 0 = -4*a - 3*d - d + 16. Suppose -a*y + y = -2. Let v - 2 + v**3 + 6*v**2 - 2*v - 4*v**y = 0. Calculate v.
-2, -1, 1
Let u(c) be the third derivative of -c**5/30 + 2*c**4/3 - 5*c**3 + 100*c**2. Suppose u(n) = 0. Calculate n.
3, 5
Let z = 101 + -95. Suppose -z*d = -12 - 12. Factor 0 + 0*o + 0*o**2 - 6/7*o**d - 3/7*o**5 - 3/7*o**3.
-3*o**3*(o + 1)**2/7
Let w(n) be the second derivative of 2*n**6/15 + 34*n**5/5 + 65*n**4/3 + 64*n**3/3 + 176*n. Find o such that w(o) = 0.
-32, -1, 0
Let c(d) = -85*d**2 + 185*d - 120. Let k(u) = u**3 - 43*u**2 + 94*u - 60. Let r(j) = 2*c(j) - 5*k(j). Suppose r(y) = 0. What is y?
1, 2, 6
Let v(x) = -7*x**2 - 117*x - 903. Let y(b) be the first derivative of 20*b**3/3 + 176*b**2 + 2708*b - 10. Let u(q) = -8*v(q) - 3*y(q). Factor u(g).
-4*(g + 15)**2
Let n(y) = 5*y - 5 - 2*y - 7*y + 5*y. Let q be n(8). Find u, given that -75*u**5 + 60*u**2 + 11*u**3 + 5*u + 52*u**q + 7*u - 60*u**4 = 0.
-1, -2/5, 0, 1
Let -42*y**2 - 12*y + 11*y**3 - 9*y**3 + 44*y**2 = 0. Calculate y.
-3, 0, 2
Let b be 10/(-4)*16/(-60)*6. Let h(p) be the third derivative of -2/15*p**5 + 1/4*p**b + 1/3*p**3 - 2*p**2 + 0*p + 0. Solve h(n) = 0 for n.
-1/4, 1
Let i(h) be the third derivative of 0 + 2/105*h**7 - 2/15*h**5 + 16/9*h**3 - 6*h**2 - 7/90*h**6 + 0*h + 2/3*h**4. Determine z, given that i(z) = 0.
-1, -2/3, 2
Let -78 - 1626*a**2 - 1618*a**2 - 138*a - 51*a + 3259*a**2 = 0. What is a?
-2/5, 13
Let v = -323 + 499. Let r = v - 172. Let 23/3*c**3 + 4/3*c - 7/3*c**r - 20/3*c**2 + 0 = 0. Calculate c.
0, 2/7, 1, 2
Let o(n) be the second derivative of -n**6/90 + n**5/20 - n**4/36 - n**3/6 + n**2/3 - 11*n + 2. Let o(m) = 0. What is m?
-1, 1, 2
Let k be -4*((408/32)/(-17))/1. Solve 2/3*n**2 - 1/3*n**k + 0 - 1/3*n = 0 for n.
0, 1
Let l = 11 - 9. Factor -8*d**2 + 2*d**2 - 3*d**2 + 0*d**l + 6 + 3*d.
-3*(d - 1)*(3*d + 2)
Let n(m) = 5*m**2 - 7*m + 6. Let g(u) = 6*u**2 - 8*u + 7. Let d(a) = -2*a**2 + 14*a + 11. Let i be d(8). Let y(l) = i*n(l) + 4*g(l). Factor y(c).
-(c - 2)*(c - 1)
Let -21/5*g**2 - 33/5*g - 3/5*g**3 - 3 = 0. What is g?
-5, -1
Factor -8*c + 122/15*c**2 - 2/15*c**3 + 0.
-2*c*(c - 60)*(c - 1)/15
Let a(y) = y**3 + 14*y**2 + 14*y + 17. Let p be a(-13). Factor -c**5 + c**p + 1 - c**2 - 11*c**3 - 2*c + 14*c**3 - 1.
-c*(c - 2)*(c - 1)*(c + 1)**2
Let h(l) = 17*l**2 - 29*l - 6. Let x(b) = -b**2 + 1. Let t(o) = -h(o) - 6*x(o). Let f(r) = 39*r**2 - 102*r. Let s(y) = 5*f(y) + 18*t(y). Solve s(z) = 0 for z.
0, 4
Let o(z) = -z + 22. Let w be o(10). What is t in 25 + 12*t + 3*t**2 - 13 - w*t**2 = 0?
-2/3, 2
Let h(f) be the second derivative of f**7/840 - f**5/240 - 6*f**2 - 6*f. Let w(a) be the first derivative of h(a). Factor w(j).
j**2*(j - 1)*(j + 1)/4
Let r = 101/204 + -11/68. Sol