 0 - 2/3*o**n + 8/9*o + 0*o**2 = 0. What is o?
-2, 0, 1
Suppose 0*t = 5*t. Let j be ((-1)/(-4))/(5*(-2)/(-80)). Let t - 1/3*l - 1/3*l**j = 0. Calculate l.
-1, 0
Let m(k) be the second derivative of 5*k**7/42 + 7*k**6/6 + 2*k**5 - 20*k**4/3 + 21*k. Determine l, given that m(l) = 0.
-4, 0, 1
Let j = -7 + 9. Let z be (-64)/(-42) + 4/(-6). Factor -4/7 + z*g - 2/7*g**j.
-2*(g - 2)*(g - 1)/7
Suppose 0 = 4*a - 3*a + 63. Let r be (-14)/a + 0/(-1). Factor r - 2/9*v**3 + 2/9*v - 2/9*v**2.
-2*(v - 1)*(v + 1)**2/9
Let m(a) be the second derivative of -a**6/18 - a**5/12 - 13*a. Solve m(k) = 0 for k.
-1, 0
Let y = -162 - -162. Let v(u) be the third derivative of -1/10*u**5 - 1/40*u**6 + y*u**3 + 3*u**2 + 0 + 3/70*u**7 + 0*u + 0*u**4. Factor v(m).
3*m**2*(m - 1)*(3*m + 2)
Let q(p) be the third derivative of -p**5/300 + p**4/40 - 9*p**2. Find c such that q(c) = 0.
0, 3
Let o be (4 + -3)*3/1. Factor q**5 + 4*q**o + 321*q**2 - 321*q**2 + 4*q**4.
q**3*(q + 2)**2
Factor -1/4*d**3 + 0 + 1/2*d**2 + 3/4*d.
-d*(d - 3)*(d + 1)/4
Let x(j) = -j**2 - 9*j + 10. Let a be x(-7). Let y be (a/20)/((-4)/(-10)). Let -2*f**2 + f**5 + 0*f**y + f**2 - f**3 + f**4 = 0. Calculate f.
-1, 0, 1
Let m be 1/(4/(17 - -3)). Let i(c) be the second derivative of -1/10*c**m + 0*c**2 - 3*c + 1/3*c**4 - 1/3*c**3 + 0. Factor i(q).
-2*q*(q - 1)**2
Let x = -2 + 6. Factor -5*y**2 - x - 10*y + 2*y**2 - 5*y**2 - 2*y**3.
-2*(y + 1)**2*(y + 2)
Let d(h) be the third derivative of 0*h - 2*h**2 - 1/30*h**5 - 1/6*h**4 + 0 - 1/360*h**6 - 4/9*h**3. Solve d(q) = 0 for q.
-2
Let a = 214/3 + -71. Let z(c) be the first derivative of -a*c - 3 + 0*c**2 + 1/9*c**3. Determine q so that z(q) = 0.
-1, 1
Let j(p) be the second derivative of p**5/4 - 5*p**3/2 - 5*p**2 + 38*p. Factor j(o).
5*(o - 2)*(o + 1)**2
Let a(u) = 9*u**4 - u**3 - 21*u**2 + 11. Let x(i) = 26*i**4 - 4*i**3 - 62*i**2 + 32. Let o(c) = -8*a(c) + 3*x(c). Factor o(k).
2*(k - 2)*(k + 1)**2*(3*k - 2)
Let i = 2/495 + 1648/495. Find u such that 7/3*u**2 - i*u**3 + 4/3*u + u**4 - 4/3 = 0.
-2/3, 1, 2
Suppose 6*l + 5 = 7*l. Factor -l*z**2 + 5*z**3 - 8*z**2 - 3*z**4 + 11*z**2.
-z**2*(z - 1)*(3*z - 2)
Let w = 2/85 - -79/255. Let -w*t + 0 - 1/3*t**2 = 0. Calculate t.
-1, 0
Suppose 2*u - 4 = -0*u. Let j(v) be the second derivative of -2/3*v**3 - 1/2*v**4 + 0 + v**u - 3*v. Find w such that j(w) = 0.
-1, 1/3
Let h = -135 - -947/7. Let s be (-3)/2*8/(-42). Factor -s*k**5 - h*k + 0 + 0*k**2 + 4/7*k**3 + 0*k**4.
-2*k*(k - 1)**2*(k + 1)**2/7
Let k(g) be the second derivative of -g**6/75 + g**5/50 + 11*g. Factor k(d).
-2*d**3*(d - 1)/5
Let h(a) be the first derivative of -5*a**3/21 + 3*a**2/14 + 2*a/7 - 1. Factor h(w).
-(w - 1)*(5*w + 2)/7
Let i be (52/(-1638))/(15/(-7)*4). Let g(m) be the third derivative of -1/27*m**3 - 1/54*m**4 + 4*m**2 - i*m**5 + 0 + 0*m. Factor g(b).
-2*(b + 1)**2/9
Let q(b) be the second derivative of b**5/30 + b**4/3 + 4*b**3/3 + 3*b**2/2 + 3*b. Let k(f) be the first derivative of q(f). Factor k(w).
2*(w + 2)**2
Let z(j) be the third derivative of j**7/105 - j**6/15 + j**5/5 - j**4/3 + j**3/3 - 3*j**2. Solve z(y) = 0 for y.
1
Suppose 3*g + 5*z = -34, z = 2*g - 0*z + 27. Let f = 16 + g. Determine y, given that 15/2*y**4 + 3*y**2 - 21/2*y**f + 0 + 0*y = 0.
0, 2/5, 1
Suppose 0 = -v - 5*g - 23, 7 = v - 0*g - g. Suppose 0 = v*k - k - 4. Factor 1/2 - 1/2*q**5 - q**3 - 3/2*q**k + 3/2*q + q**2.
-(q - 1)*(q + 1)**4/2
Let o(a) be the second derivative of a**6/75 + a**5/25 - 7*a. Factor o(s).
2*s**3*(s + 2)/5
Let i(f) = -f**2 + 6*f - 2. Let c be i(5). Let n be (-15)/(-9) - (4 - c). Factor -n*y**2 + 0 + 4/3*y**3 + 0*y - 2/3*y**4.
-2*y**2*(y - 1)**2/3
Let j = 46/65 - 4/13. Let n(t) be the first derivative of -j*t + 2/5*t**2 - 2/15*t**3 - 1. Factor n(m).
-2*(m - 1)**2/5
Let t(n) be the third derivative of 0 - 1/50*n**6 + 1/150*n**5 + 0*n**4 + 2*n**2 + 3/175*n**7 + 0*n + 0*n**3 - 1/210*n**8. Factor t(r).
-2*r**2*(r - 1)**2*(4*r - 1)/5
Suppose 10*n - 5*n = 10. Factor 10/9*a**n + 4/9 + 14/9*a.
2*(a + 1)*(5*a + 2)/9
Suppose 2 = 2*v - d - 3, d = -v + 1. Factor -v + 14*u**2 + 8*u - 2 + 7*u**2.
(3*u + 2)*(7*u - 2)
Let i(v) be the second derivative of v**7/280 + v**6/80 - v**4/16 - v**3/8 + v**2 + 3*v. Let n(w) be the first derivative of i(w). Suppose n(l) = 0. What is l?
-1, 1
Factor 1/2*y - 1/2*y**2 - 1/2*y**3 + 1/2.
-(y - 1)*(y + 1)**2/2
Let t = -428 - -428. Factor -1/3*b**3 + t - 2/3*b**2 - 1/3*b.
-b*(b + 1)**2/3
Let j(w) = 12*w**3 + 12*w**2 + 6*w. Let m(k) = k**4 + 11*k**3 + 11*k**2 + 5*k. Let g(z) = -2*j(z) + 3*m(z). Factor g(f).
3*f*(f + 1)**3
Suppose -7 = -2*o + 3. Let q = 8 - o. Suppose 2*t**q - 8/3*t - 8/3*t**2 + 0 = 0. What is t?
-2/3, 0, 2
Let p(f) be the first derivative of f**6/12 + f**5/2 + 5*f**4/4 + 5*f**3/3 + 5*f**2/4 + f/2 + 6. Factor p(x).
(x + 1)**5/2
Let a(u) be the first derivative of 0*u - 1/5*u**2 - 3/10*u**4 - 4 + 2/5*u**3 + 2/25*u**5. Find g, given that a(g) = 0.
0, 1
Let h = 56 - 56. What is u in h + 1/3*u**2 - 1/3*u = 0?
0, 1
Find t, given that -40*t - 4*t**4 + t**3 - 6*t**3 - 3*t**4 + 2*t**4 + 50*t**2 = 0.
-4, 0, 1, 2
Let f be (58/(-3 + 5))/(-21). Let a = -5/7 - f. Factor -2/3*k**2 - a*k + 2/3*k**4 + 2/3*k**3 + 0.
2*k*(k - 1)*(k + 1)**2/3
Suppose -4*s = -8, 4*s = 4*f - 0*f. What is r in -3*r**3 + r**3 - r**f - r + r - r**4 = 0?
-1, 0
Factor -3*b**4 + b**4 + 15*b**2 - 3*b**4 - 10*b + 0*b**4.
-5*b*(b - 1)**2*(b + 2)
Suppose t - 28 = 5*v - 34, -5*v - 3*t + 22 = 0. Find f, given that 3/2*f**v + 3/2 - 3*f = 0.
1
Let z(s) = s**3 - 4*s**2 + 2*s. Let g be z(3). Let m(u) = 11*u**2 - 3*u - 8. Let b(n) = 4*n**2 - n - 3. Let k(a) = g*m(a) + 8*b(a). What is p in k(p) = 0?
0, 1
Let t(d) be the first derivative of 0*d + 0*d**2 - 1/22*d**4 + 2/33*d**3 - 1. Determine l so that t(l) = 0.
0, 1
Let v(p) be the second derivative of 19*p**4/48 + 17*p**3/24 - p**2/4 + 11*p. Determine m, given that v(m) = 0.
-1, 2/19
Let a(j) be the third derivative of -j**5/270 + j**4/108 + 2*j**2. Factor a(z).
-2*z*(z - 1)/9
Suppose -u + 6 = -3*z, -3*u + 5*z = -9 - 1. Suppose u = 4*k - 21 + 1. Factor 2/3*x + 0*x**4 + 0 + 0*x**2 + 2/3*x**k - 4/3*x**3.
2*x*(x - 1)**2*(x + 1)**2/3
Let z(r) = -r**3 + 7*r**2 + 8*r + 3. Let t(n) = -n**3 + 15*n**2 + 16*n + 5. Let u(d) = 3*t(d) - 5*z(d). Factor u(o).
2*o*(o + 1)*(o + 4)
Suppose -a - m = -0 + 2, -5*a - 2*m = -2. Suppose -y - 2*v + a = -2*y, 4*y - 4 = -4*v. Factor 1/3*h**3 - 2/3*h**2 + 1/3*h + y.
h*(h - 1)**2/3
Let c(w) be the first derivative of w**4/22 - 10*w**3/33 + 8*w**2/11 - 8*w/11 - 15. Factor c(d).
2*(d - 2)**2*(d - 1)/11
Suppose 2*d + 33 = 3*m + 2*m, d = -2*m + 6. Suppose -8 = b - m*b. What is u in -5*u + 3*u**b - 4*u**2 + 4*u = 0?
-1, 0
Let r = 1227/4892 - 1/1223. What is y in r*y + 1/2*y**3 + 0 - 3/4*y**2 = 0?
0, 1/2, 1
Let t(o) be the second derivative of o**7/98 + 2*o**6/35 + 3*o**5/35 - o**4/14 - 5*o**3/14 - 3*o**2/7 - 4*o. Factor t(l).
3*(l - 1)*(l + 1)**3*(l + 2)/7
Let y = -2/32109 + -5854535/96327. Let x = y + 61. Factor 0*s + 2/9*s**4 + 0 - 2/9*s**2 + x*s**5 - 2/9*s**3.
2*s**2*(s - 1)*(s + 1)**2/9
Determine h so that 0 - 4/7*h + 2/7*h**2 + 2/7*h**3 = 0.
-2, 0, 1
Let f(k) be the first derivative of k**7/70 - 3*k**6/40 + 3*k**5/20 - k**4/8 + 2*k**2 - 3. Let b(g) be the second derivative of f(g). Let b(s) = 0. What is s?
0, 1
Let z(h) be the first derivative of -2/25*h**5 + 0*h + 1/2*h**4 - 16/15*h**3 + 4/5*h**2 + 8. Factor z(s).
-2*s*(s - 2)**2*(s - 1)/5
Let p(j) = -36*j**2 + 4*j + 10. Let t(c) = -c**2 + c - 1. Let h(o) = o**2 + 5*o - 8. Let f(s) = -h(s) + 6*t(s). Let a(m) = 22*f(m) - 4*p(m). Factor a(i).
-2*(i - 1)*(5*i + 2)
Suppose 4*n - 8 + 0 = 0. Solve -5*p**3 - 2*p**2 - n*p**3 - p + 6*p**3 = 0 for p.
-1, 0
Let p(z) be the third derivative of z**5/150 - 17*z**4/60 + 42*z**2. Factor p(m).
2*m*(m - 17)/5
Let q(y) be the third derivative of -2/39*y**3 - 1/156*y**4 + 1/195*y**5 + 1/780*y**6 + 0 + 4*y**2 + 0*y. Determine x so that q(x) = 0.
-2, -1, 1
Let x(j) be the third derivative of -1/50*j**5 - 1/30*j**4 + 0*j - 1/300*j**6 + 0 - 5*j**2 + 0*j**3. Factor x(r).
-2*r*(r + 1)*(r + 2)/5
Let u(p) = 9*p**2 - 12*p - 15. Let w(n) be the third derivative of -n**6/120 + n**5/60 - n**3/6 + 3*n**2. Let c(i) = -u(i) + 6*w(i). Factor c(k).
-3*(k + 1)**2*(2*k - 3)
Let b be (-7 + 341/33)/((-7)/(-3)). Find x, given that -2/7 - b*x -