**y - 2*n**3 = 0. What is n?
-1, 0
Let n(b) be the third derivative of b**2 - 1/80*b**6 + 0 + 0*b**3 + 0*b - 1/20*b**5 + 0*b**4. Solve n(d) = 0.
-2, 0
Let u(w) be the second derivative of -w**9/52920 + w**8/23520 - w**4/12 + w. Let a(l) be the third derivative of u(l). Suppose a(d) = 0. Calculate d.
0, 1
Let t be 0/(-2 + 3 + -3 + -1). Determine k, given that t*k + 0 + 2/15*k**5 + 2/15*k**3 + 0*k**2 + 4/15*k**4 = 0.
-1, 0
Let z(d) be the first derivative of 3 - 1/2*d**4 - 4*d - 8/3*d**3 - 5*d**2. Factor z(n).
-2*(n + 1)**2*(n + 2)
Suppose -4*y - 2*m + 8 = 0, 7*m = 3*y + 2*m + 20. Let l(t) be the second derivative of y + 2*t - 1/3*t**2 - 1/18*t**4 + 2/9*t**3. Factor l(o).
-2*(o - 1)**2/3
Let n(q) be the second derivative of -q**6/15 + q**5 - 6*q**4 + 18*q**3 - 27*q**2 + 9*q. Factor n(r).
-2*(r - 3)**3*(r - 1)
Find y such that 2/13*y**5 + 0*y + 0*y**2 + 0 - 4/13*y**3 + 2/13*y**4 = 0.
-2, 0, 1
Let o(c) be the first derivative of 5*c**6/3 + 5*c**5 + 5*c**4 + 5*c**3/3 - 26. Factor o(b).
5*b**2*(b + 1)**2*(2*b + 1)
Let g(q) be the first derivative of q**7/630 + q**6/120 + q**5/90 + 5*q**2/2 - 5. Let n(i) be the second derivative of g(i). Factor n(z).
z**2*(z + 1)*(z + 2)/3
Let 0*t + 8/3*t**3 + 5/3*t**4 + 1/3*t**5 + 0 + 4/3*t**2 = 0. What is t?
-2, -1, 0
Suppose 0 = 2*q + 2*q - 60. Let v = -12 + q. Find x such that 1/3*x**v + 0*x + 0 + 0*x**2 - 1/3*x**4 = 0.
0, 1
Let v(x) be the first derivative of -x**5/130 - x**4/13 - 3*x**3/13 - 4*x**2/13 + 7*x - 3. Let u(l) be the first derivative of v(l). Factor u(k).
-2*(k + 1)**2*(k + 4)/13
Determine k, given that 4/5*k**2 - 4/5*k**4 + 0 + 2/5*k**5 - 2/5*k + 0*k**3 = 0.
-1, 0, 1
Suppose 5*c + 5 = 15. Let k**c + k**2 - k**3 - k**3 = 0. What is k?
0, 1
Let m = 10 - 20. Let x be (4/(-2))/(15/m). Factor x*h - 4/3 - 1/3*h**2.
-(h - 2)**2/3
Let z(y) be the first derivative of -2*y**4 - 4*y**3/3 + 1. Factor z(n).
-4*n**2*(2*n + 1)
Let q(n) be the second derivative of -n**2 - 1/15*n**6 - n**4 + 4/3*n**3 + 2/5*n**5 + 0 + 3*n. Let q(m) = 0. What is m?
1
Let r be (-13)/(-5) + 8/20. Suppose -j - 8 = r*d, 2*j + 3*d - 5*d - 16 = 0. Factor -j*f + 0 - f**3 + 10*f - 6*f**2 + 3*f**3 - 2.
2*(f - 1)**3
Let a(k) be the third derivative of -4*k**2 + 4/3*k**4 + 0*k - 32/3*k**3 + 0 - 1/15*k**5. Factor a(t).
-4*(t - 4)**2
Let g(w) be the first derivative of w**7/105 - 7*w**6/180 - w**5/30 - w**3 - 1. Let j(v) be the third derivative of g(v). Let j(r) = 0. What is r?
-1/4, 0, 2
Suppose -t - 2*q = -11, t + 3*t - 2*q - 4 = 0. Suppose 2*s - s + 3*u + 6 = 0, 2*s + 3 = -t*u. Factor -1/2*h + 0*h**2 + 1/2*h**s + 0.
h*(h - 1)*(h + 1)/2
Suppose -5 = 3*h - 5*g, 4*g = -4*h - h + 4. Let q = -289/2 - -145. Factor -1/2*b**5 + q*b**3 + 1/2*b**4 + h*b - 1/2*b**2 + 0.
-b**2*(b - 1)**2*(b + 1)/2
Let k(c) = c**5 - c**3 + c**2 + c + 1. Suppose -5*g - 2 = -7. Let o(v) = -4*v**5 + 4*v**4 - v**3 - 5*v**2 + 2*v - 5. Let a(j) = g*o(j) + 3*k(j). Solve a(n) = 0.
-1, 1, 2
Let w be (-182)/104 + (-38)/(-8). Find o such that 1/6*o**2 - 1/6*o**w + 0 - 1/6*o**4 + 1/6*o = 0.
-1, 0, 1
Let n(l) be the first derivative of -2/3*l - 1/6*l**2 + 1/9*l**3 - 1. Determine c, given that n(c) = 0.
-1, 2
Let p(v) be the third derivative of -v**8/120 + 16*v**7/525 - 11*v**6/300 + v**5/75 + 5*v**2. Solve p(o) = 0 for o.
0, 2/7, 1
Let d(n) be the second derivative of -n**6/40 - 9*n**5/40 - 13*n**4/16 - 3*n**3/2 - 3*n**2/2 + 6*n. Let d(i) = 0. Calculate i.
-2, -1
Suppose 14*j - 79 + 37 = 0. Solve 4/5 + 2*u**j - 4/5*u**2 - 2*u = 0.
-1, 2/5, 1
Let g(t) = -t**3 + t. Let r(n) = 7*n**3 + 2*n**2 - 5*n. Let m(h) = 6*g(h) + r(h). Let m(j) = 0. Calculate j.
-1, 0
Suppose -4/3*c**4 + 0*c + 0 + 0*c**2 - 4/3*c**5 + 0*c**3 = 0. What is c?
-1, 0
Let q be 14/(-42) + 4/6. Let a be 1/((-3)/(-2)*2). Determine h, given that q - a*h**2 + 0*h = 0.
-1, 1
Let g(y) be the first derivative of 4/9*y**3 - 2 - 1/2*y**2 + 0*y + 1/90*y**5 + 1/9*y**4. Let v(l) be the second derivative of g(l). Factor v(w).
2*(w + 2)**2/3
Suppose -419*l**5 + 418*l**5 - 1 + 1 - 4*l**4 - 5*l**3 - 2*l**2 = 0. What is l?
-2, -1, 0
Solve 2/11*r**2 + 2/11*r - 4/11 = 0 for r.
-2, 1
Suppose 4*v - 15 - 1 = -w, 3*v - 12 = 0. Let b = w - -2. What is l in -5*l**2 + l**2 - b*l**2 + 2*l**4 + 2*l**3 + 4 - 2*l + 0*l**2 = 0?
-2, -1, 1
Let w(f) be the second derivative of -f**6/75 + 3*f**5/50 - f**4/30 - f**3/5 + 2*f**2/5 + 6*f. Let w(m) = 0. Calculate m.
-1, 1, 2
Let f = -117 - -355/3. Let n(w) be the first derivative of -f*w - 2/9*w**3 - 2 + w**2. Suppose n(a) = 0. What is a?
1, 2
Let r(i) be the first derivative of -i**6/14 + 9*i**5/35 - 3*i**4/14 - 2*i**3/7 + 9*i**2/14 - 3*i/7 + 32. Suppose r(d) = 0. What is d?
-1, 1
Let q(f) be the second derivative of -f**5/5 + 2*f**3 - 4*f**2 + 14*f. Let q(o) = 0. Calculate o.
-2, 1
Let h(d) be the third derivative of -d**7/1995 + d**6/1140 + d**5/190 - d**4/228 - 2*d**3/57 + 11*d**2. Find f such that h(f) = 0.
-1, 1, 2
Let x(r) be the first derivative of -7*r**5/100 + r**4/12 + r**3/15 + 2*r + 2. Let y(n) be the first derivative of x(n). Solve y(k) = 0 for k.
-2/7, 0, 1
Let g(y) = -y**3 - 12*y**2 - 10*y + 13. Let b be g(-11). Let z be b/8*(-7)/(-7). Factor z*m**2 + 3/4*m + 1/2.
(m + 1)*(m + 2)/4
Let j(a) be the first derivative of a**4/30 - a**2/5 - 2*a + 1. Let l(s) be the first derivative of j(s). Factor l(r).
2*(r - 1)*(r + 1)/5
Let x be (-30)/(-40)*((-2)/(-3) + 0). Factor 1/2*p + x*p**2 + 0.
p*(p + 1)/2
Let a(z) be the first derivative of -8*z**2 - 4*z**4 + 4/5*z**5 + 8*z**3 + 8 + 4*z. Let a(g) = 0. Calculate g.
1
Let y be 5*(18/(-15))/(-2). Suppose -y*c - 15 = z - 3*z, -21 = -3*z + 4*c. Factor j**4 - 2*j**2 + j**4 + j**3 - 4*j**3 + 4*j - j**z.
2*j*(j - 2)*(j - 1)*(j + 1)
Let m = 1331/3 + -3961/9. Let w(l) be the first derivative of -4/3*l + 11/3*l**2 + 7/6*l**4 + 1 - m*l**3. Factor w(z).
2*(z - 1)**2*(7*z - 2)/3
Factor -99*c**2 + 30 + 8*c - 5*c**3 + 69*c**2 - 3*c.
-5*(c - 1)*(c + 1)*(c + 6)
Factor 2*t**3 + 6*t**4 + 0 + 2/9*t**2 + 6*t**5 + 0*t.
2*t**2*(3*t + 1)**3/9
Factor 0*l + 2/15*l**2 + 0 - 4/15*l**3 + 2/15*l**4.
2*l**2*(l - 1)**2/15
Suppose 0 = -3*n - 3*z + 33, -n + 4*n = 3*z + 9. Determine o, given that -o + 20*o**2 - 2*o**5 + n*o**4 + 20*o**3 + 11*o + 4*o**5 + 2 + 3*o**4 = 0.
-1
Suppose -7 - 3 = -2*l. Suppose 2*j - 1 - l = 0, -3 = -s + 3*j. Suppose 14*i + 0*i**2 - s*i + i**2 + 1 = 0. What is i?
-1
Let m(t) be the second derivative of t**4/18 - t**3/9 - 2*t**2 + 47*t. Let m(r) = 0. Calculate r.
-2, 3
Let t = 6 - 9. Let c(k) = k**3 - 7*k**2 - 7*k + 1. Let z(m) = m**3 - 3*m**2 - 3*m + 1. Let g(r) = t*c(r) + 5*z(r). Solve g(q) = 0.
-1
Let h be ((-48)/21)/(-8) - (-436)/42. Let -6*p + h*p**2 - 28/3*p**3 + 4*p**4 - 2/3*p**5 + 4/3 = 0. What is p?
1, 2
Let w(l) be the second derivative of -l**7/315 + l**6/225 + l**5/50 - l**4/18 + 2*l**3/45 + 19*l. Factor w(r).
-2*r*(r - 1)**3*(r + 2)/15
Suppose -5*b - 4 = -6*b. Determine q so that -4*q**b + 4*q**3 + 6*q**4 + 4*q**2 - 6*q**4 - 4*q = 0.
-1, 0, 1
Suppose 0 = 4*n - 4*r, -3*n + 8 = -n + 2*r. Suppose -5/4*j**n - 1 + 2*j + 1/4*j**3 = 0. Calculate j.
1, 2
Let c be -3*(-1 + 25/30). Factor 1/4 - c*h**2 + 0*h**3 + 1/4*h**4 + 0*h.
(h - 1)**2*(h + 1)**2/4
Find s such that 6*s**4 + 10*s**3 + 0*s**4 - 5*s + 5 - 5*s**5 - s**4 + 0*s - 10*s**2 = 0.
-1, 1
Let u(k) = -k**2 + 8*k + 13. Let l be u(9). Let 9 - 4*x - 4*x - 8*x**3 + 2*x**l - 7 + 12*x**2 = 0. What is x?
1
Suppose -3*s**2 - 9*s + 1 + 5 - 12 = 0. Calculate s.
-2, -1
Let n(y) be the second derivative of y**4/4 + y**3 + 3*y**2/2 + 4*y. Let n(w) = 0. What is w?
-1
Suppose 3*p - 4*u + 1 - 3 = 0, -5*p + 13 = 3*u. Determine o so that 1/2 - 1/2*o**p + 1/4*o - 1/4*o**3 = 0.
-2, -1, 1
Let b(h) = h**4 - h**3 - h**2 - h + 1. Let y(p) = 2*p**3 + p**2 - 2. Let u(m) = b(m) + y(m). Let r(s) = s**4 - 1. Let i(o) = 3*r(o) - 2*u(o). Factor i(a).
(a - 1)**3*(a + 1)
Let d be (-4)/(-14)*98/7. Factor 0 + 10/3*x**d + 2/3*x**5 + 14/3*x**2 + 4/3*x + 6*x**3.
2*x*(x + 1)**3*(x + 2)/3
Let s(r) be the first derivative of -r**6/21 + r**4/7 - r**2/7 + 3. Factor s(w).
-2*w*(w - 1)**2*(w + 1)**2/7
Suppose 4*i + 3*l = 2*i + 18, -5 = 5*i - 5*l. Factor -i*f**2 + 0*f**3 + 4*f**3 - 5*f**2.
4*f**2*(f - 2)
Let n be 2 + (5 + 0 - 10) + 6. What is j in 7/4*j - 8*j**4 + 9/2*j**2 - 15/4*j**5 - 2*j**n - 1/2 = 0?
-1, 1/5, 2/3
Let q(h) = -4*h - 4. Let b be q(3)