- 16 = -x + 2*t. Factor -6*v**4 - 6*v**2 + 3*v**4 + 12*v**3 - x*v**i.
-3*v**2*(v - 2)**2
Factor -3/8*d**2 + 3/8*d**4 + 3/8*d**3 + 0*d + 0 - 3/8*d**5.
-3*d**2*(d - 1)**2*(d + 1)/8
Factor 1/4*h**2 - 1/4*h**3 + 0 + 1/2*h.
-h*(h - 2)*(h + 1)/4
Let a(l) = -7*l**3 - 6*l**2 + 4*l + 8. Let m(y) = y**2 + y + 1. Suppose 3 = 3*k + 6. Let b(d) = k*a(d) + 5*m(d). Factor b(s).
(s + 1)**2*(7*s - 3)
Suppose -5*z - b + 2 = -9, 0 = -3*z - 5*b + 11. Let m(h) be the first derivative of 0*h + 1/16*h**4 - 1/8*h**2 + 0*h**3 + z. Factor m(s).
s*(s - 1)*(s + 1)/4
Suppose -o = -5*k + 23, -o = k + 3*k - 22. Solve 2*p - 8*p**2 - 7*p**3 - p**o + 4*p**2 = 0 for p.
-1, 0, 2/7
Let m = 13 - 42. Let g be (-4)/18 - m/9. Factor -y**3 - 3*y**g + 6*y**4 - 2*y**5 - 2 + 6*y - 6*y**2 + 2*y**2.
-2*(y - 1)**4*(y + 1)
Let p(o) be the first derivative of -o**4/6 + 2*o**3/3 - o**2 + 2*o/3 + 19. Let p(l) = 0. What is l?
1
Let n be 3/9 + 3/(-9). Let i(v) be the first derivative of 2 + 1/12*v**4 + 1/15*v**5 + 0*v**2 + 0*v**3 + n*v. Determine k so that i(k) = 0.
-1, 0
Let v(y) = -y**3 + 19*y**2 - 13*y - 19. Let k(a) = -9*a**2 + 6*a + 9. Let f(b) = -7*k(b) - 3*v(b). Factor f(d).
3*(d - 1)*(d + 1)*(d + 2)
Let i(z) be the third derivative of 0*z**3 + 2*z**2 + 0*z**5 + 0*z**4 + 0*z + 0 + 1/336*z**8 + 1/120*z**6 + 1/105*z**7. Factor i(g).
g**3*(g + 1)**2
Let k = 132 + -129. Let g = 5 - 5. Factor 0*p**2 + 2/5*p**4 + g + 0*p - 1/5*p**k - 1/5*p**5.
-p**3*(p - 1)**2/5
Let f be (10 - 7) + -5 + (-2)/(-1). Let d(b) be the second derivative of 1/50*b**5 + 1/15*b**3 + 2*b + 0 - 1/15*b**4 + f*b**2. What is u in d(u) = 0?
0, 1
Let m = 1032 - 2063/2. Factor 1/2*j**2 - m - 1/2*j**3 + 1/2*j.
-(j - 1)**2*(j + 1)/2
Let s(i) = -i**4 + 1. Let v(a) = -4*a**5 - 16*a**4 - 36*a**3 - 28*a**2 - 8*a - 4. Let f(n) = 4*s(n) + v(n). Suppose f(l) = 0. What is l?
-2, -1, 0
Let l be ((-15)/45)/((-2)/18). Factor 8*n**l + 47*n**3 + 9*n**3 - 4 - 32*n**2 - 28*n.
4*(n - 1)*(4*n + 1)**2
Let m be -2 - -6 - (4 - 2). Factor -m*z + 0*z - z**2 - 2*z + 2*z.
-z*(z + 2)
Let d = -36 + 103. Suppose -105 = -5*x + 5*f, -4*x + 7*x - d = -f. Factor -3*c**3 - 22*c**2 - 6 + 9*c + x*c**2.
-3*(c - 1)**2*(c + 2)
Let d(n) be the third derivative of -n**8/84 - 4*n**7/105 + 2*n**5/15 + n**4/6 + 2*n**2 - 43. What is y in d(y) = 0?
-1, 0, 1
Let i be ((-8)/6)/(-4) + 44/60. Factor i*f**3 + 4/15*f**2 - 2/15 - 4/15*f + 4/15*f**5 + 14/15*f**4.
2*(f + 1)**4*(2*f - 1)/15
What is b in -15*b**2 - 6 + 3*b**3 + 12046*b - 12025*b - 3 = 0?
1, 3
Let u(d) be the third derivative of -16*d**7/35 - d**6/3 + d**5 - 2*d**3/3 + 11*d**2. Solve u(y) = 0 for y.
-1, -1/4, 1/3, 1/2
Let u(o) be the first derivative of -3*o**5 + 21*o**4/4 + 3*o**3 - 21*o**2/2 + 6*o + 6. Suppose u(a) = 0. What is a?
-1, 2/5, 1
Let m = -5 + 7. Find i such that -2*i**2 + i + i**2 + 3*i**m - 3*i = 0.
0, 1
Let u(x) be the second derivative of -3*x**3 + 7/6*x**4 + 0 + 7*x + 2*x**2. Factor u(w).
2*(w - 1)*(7*w - 2)
Let q(b) be the second derivative of -b**5/50 + b**4/15 + b**3/15 - 2*b**2/5 - b. Let q(m) = 0. What is m?
-1, 1, 2
Let z(p) = p**2 - 3*p - 3. Let r be z(4). Let y be (-258)/(-15) - r - 0. Factor 36/5*j + 4/5 + y*j**2.
(9*j + 2)**2/5
Factor -1/2*l**4 + 0*l + 0 + 0*l**2 + 3/2*l**3.
-l**3*(l - 3)/2
Let v = -64 + 64. Let w(s) be the second derivative of v*s**2 + 0*s**3 + 0 + 1/6*s**4 - 1/10*s**5 - 3*s. What is z in w(z) = 0?
0, 1
Let c(t) be the second derivative of -t**4/18 + 2*t**3/3 - 3*t**2 + t. What is l in c(l) = 0?
3
Let w(c) = -c**2 + 14*c - 48. Let q be w(6). What is x in -2/5*x**3 + 0*x**2 + q - 4/5*x**4 - 2/5*x**5 + 0*x = 0?
-1, 0
Let n(j) be the third derivative of 0*j - 2*j**2 - 1/135*j**7 + 19/540*j**6 + 1/108*j**4 - 1/18*j**5 + 2/27*j**3 + 0. Factor n(q).
-2*(q - 1)**3*(7*q + 2)/9
Let t = -5 - -3. Let m(i) = -i**5 - i**3 - 3*i**2 - i. Let p(x) = 2*x**3 + 2*x**2. Let y(w) = t*m(w) - 3*p(w). Factor y(b).
2*b*(b - 1)**2*(b + 1)**2
Let s = -149/22 + 80/11. Let v be 2/(-4) - (-2 + 1). Determine m, given that v*m + m**2 + 0 + s*m**3 = 0.
-1, 0
Let p(k) be the third derivative of 0 + 0*k**5 + 0*k**3 + 4*k**2 - 1/12*k**6 + 1/15*k**4 + 0*k. Let p(x) = 0. Calculate x.
-2/5, 0, 2/5
Let u(r) be the third derivative of -r**5/160 - 13*r**4/32 - 169*r**3/16 - 46*r**2. Find j such that u(j) = 0.
-13
Solve 2/5*k**2 + 1/5*k**4 + 4/5*k - 4/5*k**3 - 3/5 = 0.
-1, 1, 3
Let y(w) be the second derivative of 4*w**7/147 + w**6/15 + w**5/35 - w**4/42 + w. Suppose y(z) = 0. Calculate z.
-1, 0, 1/4
Suppose -n = 3*p + 169, 4*p + 16 = -3*n - 211. Let b = p + 170/3. Factor 0*m**2 + 0 - 2/3*m**3 + b*m.
-2*m*(m - 1)*(m + 1)/3
Let b(j) be the third derivative of -j**6/240 + 7*j**5/240 - j**4/24 - j**3/2 - j**2. Let m(d) be the first derivative of b(d). What is r in m(r) = 0?
1/3, 2
Let z = -9 + 11. Let b(d) be the first derivative of d**z + d + 2 + 1/3*d**3. Factor b(c).
(c + 1)**2
Let n be 3 + (-4)/(-6) + (-5)/5. Factor -2/9*b**4 - 26/9*b**2 - 8/9 - 4/3*b**3 - n*b.
-2*(b + 1)**2*(b + 2)**2/9
Let b(s) be the third derivative of -s**6/60 - 7*s**5/30 - 5*s**4/4 - 3*s**3 + 2*s**2. Factor b(g).
-2*(g + 1)*(g + 3)**2
Suppose -p = r - 0 + 4, 0 = 4*r + 3*p + 15. Let g = 0 - r. Solve -i**5 - 2*i**3 + 2*i**4 + 4*i**3 - g*i**3 = 0.
0, 1
Let g(w) be the second derivative of 5*w**4/12 + 19*w. Factor g(o).
5*o**2
Let w = 3 - -2. Factor -m**w + 3*m**3 - m**3 - m**3 + m**4 - m**2.
-m**2*(m - 1)**2*(m + 1)
Let q(n) be the second derivative of n**7/1260 - n**6/180 + n**4/12 - 7*n. Let h(y) be the third derivative of q(y). Factor h(z).
2*z*(z - 2)
Suppose -c = -5*h - 5, c + 4*h + h = -5. Let k(y) be the third derivative of 1/24*y**4 - 1/30*y**5 + 0*y**3 + 0 + c*y - y**2 + 1/120*y**6. Solve k(p) = 0.
0, 1
Let l(o) be the first derivative of o**4 - 4*o**3 + 6*o**2 - 4*o + 27. Factor l(c).
4*(c - 1)**3
Let i(s) be the third derivative of s**6/30 + 4*s**5/15 + s**4/2 + 23*s**2. Determine v so that i(v) = 0.
-3, -1, 0
Let y(u) be the third derivative of 1/20*u**5 + 1/112*u**8 + 0*u**4 + 0*u**3 - 1/70*u**7 - 1/40*u**6 + 0*u + 0 - u**2. What is s in y(s) = 0?
-1, 0, 1
Let o(m) = -m + 2. Let u be o(0). Suppose -1 - 6 = -2*s + 3*y, u*s = -4*y. Factor -21*x - 2*x**3 - 5*x**s - 3*x - 7*x**2 - 16.
-2*(x + 2)**3
Factor -43*v**2 + 2*v**3 + 23*v**2 + 18*v**2 + 2*v**4 - 2*v.
2*v*(v - 1)*(v + 1)**2
Let b(n) be the first derivative of n**6/18 - n**5/15 + 3. Suppose b(d) = 0. Calculate d.
0, 1
Let z be (-9)/(-2)*2/3. Suppose z*k - 3*s - 9 = 0, 5*s = -3*k + 4*k + 17. Factor 22*d**2 + 8*d**2 + 2 - 28*d**3 + 3*d + k*d**4 - 16*d.
(d - 2)*(2*d - 1)**3
Suppose 2 = 2*a - g, -6*a - 4*g = -a - 5. Let r(y) = 2*y**3 - 4*y - 6. Let u(p) = -4*p + 1 + 0 + 3*p. Let n(o) = a*r(o) + 2*u(o). Factor n(v).
2*(v - 2)*(v + 1)**2
Let v(a) be the third derivative of -a**8/100800 + a**7/12600 - a**6/3600 - a**5/15 + 10*a**2. Let y(j) be the third derivative of v(j). Factor y(s).
-(s - 1)**2/5
Let a = -1/156 - -37/1716. Let h = a - -43/66. Factor 0 + 5/3*u**4 - h*u**3 + 0*u**2 - u**5 + 0*u.
-u**3*(u - 1)*(3*u - 2)/3
Let j(y) be the third derivative of -y**6/320 - y**5/96 + y**4/96 + 3*y**2. Factor j(f).
-f*(f + 2)*(3*f - 1)/8
Let h(v) be the first derivative of 15*v**6 + 291*v**5/5 + 327*v**4/4 + 45*v**3 + 3*v**2/2 - 6*v + 4. What is m in h(m) = 0?
-1, -2/5, 1/6
Let s(u) be the first derivative of -2*u**3/33 - 36*u**2/11 - 648*u/11 + 65. Factor s(h).
-2*(h + 18)**2/11
Let p(j) = -4*j**2 + 5*j - 1. Let v be -3 - 1/2*-6. Suppose -6 = -2*y - v. Let b(d) = 11*d**2 - 14*d + 3. Let o(w) = y*b(w) + 8*p(w). Factor o(a).
(a - 1)**2
Find n, given that 0*n**2 - 5*n**2 + 9*n - n**2 + 3*n**2 - 6 = 0.
1, 2
Factor 2/9*y**2 + 8/9 - 8/9*y.
2*(y - 2)**2/9
Let z(f) be the second derivative of f**5/60 - f**3/6 + 2*f**2 + 3*f. Let k(p) be the first derivative of z(p). Factor k(b).
(b - 1)*(b + 1)
Let l(x) = -5 - 2*x - 2*x**2 - 2*x + 0*x. Let q(h) = h**2 + 2*h + 2. Let c(d) = -2*l(d) - 5*q(d). Factor c(y).
-y*(y + 2)
Suppose 3*q + 6 = 5*q. Let y be 9 + (-1 - -3) + (-3 - 2). Factor 2*z**q + 0 + 4*z**2 - y*z**2 + 0.
2*z**2*(z - 1)
Find o such that 2*o - 1/4*o**2 - 4 = 0.
4
What is w in 2/19*w**3 - 2/19*w**5 + 0*w - 2/19*w**4 + 0 + 2/19*w**2 = 0?
-1, 0, 1
Suppose 3*i - 5*s - 25 = 0, -2*i + s + 2*s = -15. Factor -1/5*d**3 + 0*d + i*d**2 + 0.
-d**3/5
Let i(d) be the third derivative of -d**5/12 + 5*d**3