
Let t(j) be the second derivative of -2*j**6/15 + j**5/5 + j**4 - 10*j**3/3 + 4*j**2 - 23*j. Let t(r) = 0. What is r?
-2, 1
Let g be (-17)/(-2)*(5 - 3). Suppose -15*p = -g*p + 6. Factor -1/3*a**2 - p - 2*a.
-(a + 3)**2/3
What is f in 0*f**3 + 16 - 13*f + 28*f**2 - 8*f**3 - 15*f - 8 = 0?
1/2, 1, 2
Find l, given that 2/7*l**3 + 2/7 - 2/7*l**2 - 2/7*l = 0.
-1, 1
Suppose 0 + 0*m - 1/2*m**4 - m**3 + 0*m**2 = 0. Calculate m.
-2, 0
Let i(m) = -4*m**4 - 10*m**3 + 2*m**2 - 6*m + 6. Let b(l) = -8*l**4 - 19*l**3 + 5*l**2 - 11*l + 11. Let j(u) = -6*b(u) + 11*i(u). Factor j(a).
4*a**2*(a - 1)*(a + 2)
Let m(v) be the second derivative of v**9/840 - v**8/320 + v**6/240 - v**4/12 + v. Let f(a) be the third derivative of m(a). Let f(h) = 0. What is h?
-1/3, 0, 1/2, 1
Let k(b) = -b - 8. Let n be k(-10). Determine t, given that 0*t - 2*t - 3*t**n + 2*t - 3*t**4 + 6*t**3 = 0.
0, 1
Suppose -3*z + 6 = -3*y, -2*y = -z + 4*z - 31. Solve 0*r + 8*r - z*r**3 - 11*r**3 = 0 for r.
-2/3, 0, 2/3
Let h = 11/2 + -21/4. Let v = 0 + 0. Let h*a**2 + v*a + 0 = 0. Calculate a.
0
Let q be (-48)/(-196)*(-7)/(-2). Factor -q - 12/7*j**2 - 15/7*j - 3/7*j**3.
-3*(j + 1)**2*(j + 2)/7
Let h(d) be the first derivative of -2*d**5/15 - d**4/2 - 4*d**3/9 - 2. Factor h(l).
-2*l**2*(l + 1)*(l + 2)/3
Factor 0 + 98/9*b**5 + 140/9*b**4 + 8/9*b - 2/3*b**3 - 40/9*b**2.
2*b*(b + 1)**2*(7*b - 2)**2/9
Suppose 3*x + 2 - 15 = -g, 0 = -g - 2*x + 10. Let h be ((-10)/(-3))/(-5)*-3. Determine b so that -8*b + 3*b**2 + g*b**h + 20*b - 4 = 0.
-2, 2/7
Let r(y) = -3*y**3 - 15*y**2 - 39*y - 27. Suppose -2*b - 28 = 2. Let z(t) = -t - 1. Let q(s) = b*z(s) + r(s). Factor q(l).
-3*(l + 1)*(l + 2)**2
Let g(f) be the second derivative of f**7/21 + f**6/15 - f**5/5 - f**4/3 + f**3/3 + f**2 - 16*f. Suppose g(a) = 0. What is a?
-1, 1
Let u(z) = 15*z**3 - 13*z. Let a(v) = -7*v**3 + 6*v. Suppose 4*c - 5*g - 13 = 2*c, -g + 25 = -5*c. Let x(j) = c*u(j) - 13*a(j). Suppose x(l) = 0. What is l?
0
Let h = -1/30 - -7/60. Let p(l) be the first derivative of -4 + 0*l - 1/4*l**2 - h*l**3. Suppose p(r) = 0. What is r?
-2, 0
Let p(h) be the first derivative of 3/7*h + 3/14*h**4 + 8 + 0*h**3 - 3/7*h**2 - 3/35*h**5. Suppose p(y) = 0. What is y?
-1, 1
Let f(z) = z**2 - 28*z + 182. Let q be f(10). Let -3/2 - 9/2*v**5 + 15/2*v - 9*v**q + 21/2*v**4 - 3*v**3 = 0. Calculate v.
-1, 1/3, 1
Let -74*v**3 - 78*v**2 + 7*v + 72*v**5 + 74*v**4 + 0*v + 4 - 5*v = 0. Calculate v.
-1, -1/4, 2/9, 1
Suppose -g - 1 = -4. Let n be 4/10 - 13/(-5). Factor -3*m**n - 6*m**g + 4*m**3 - 7*m**4 + 2*m**2.
-m**2*(m + 1)*(7*m - 2)
Let p(y) be the second derivative of -y**7/12600 - y**6/1200 + y**5/150 + 2*y**4/3 - 2*y. Let x(g) be the third derivative of p(g). Factor x(v).
-(v - 1)*(v + 4)/5
Factor -8 - 7*z + 15*z + 9*z - 14*z**2 + 15*z.
-2*(z - 2)*(7*z - 2)
Let u(l) = -9*l**4 - 15*l**3 + 32*l**2 - 8*l + 5. Let y(z) = 4*z**4 + 8*z**3 - 16*z**2 + 4*z - 3. Let d(j) = 6*u(j) + 10*y(j). Suppose d(w) = 0. What is w?
-2, 0, 2/7, 1
Let z = -149 + 153. Let j(k) be the second derivative of 0*k**2 + 1/48*k**4 + 0 - 1/12*k**3 + z*k. Solve j(i) = 0.
0, 2
Determine o so that 3 - 10*o**3 + 6*o**3 + 18*o**2 + 3*o**4 - 12*o + 0*o**4 - 8*o**3 = 0.
1
Let i(l) be the first derivative of -2*l**3/27 + 2*l**2/3 - 2*l + 10. Determine y, given that i(y) = 0.
3
Let s(a) be the first derivative of 5/9*a**4 + 2/9*a**5 + 1/27*a**6 - 3 + 5/9*a**2 + 2/9*a + 20/27*a**3. Factor s(d).
2*(d + 1)**5/9
Let l(a) be the first derivative of -1/4*a**2 - 1 + 0*a + 1/6*a**3. Solve l(p) = 0.
0, 1
Let z = 6 - 10. Let i = z - -6. Factor 4*k**3 + 2*k**4 - 3*k**3 + 4 - i - 8*k + 12*k**2 - 9*k**3.
2*(k - 1)**4
Solve 0*d + 6/5*d**2 - 8/5 + 2/5*d**3 = 0.
-2, 1
Suppose g - 4*g - 8 = -w, w - g = 4. Let h(d) = -8*d + 9*d + 4*d - 4*d**2 - 3 - d**3. Let u(t) = -4*t**2 + 4*t - 2. Let k(q) = w*h(q) - 3*u(q). Solve k(y) = 0.
0, 1
Let z = -15 + 37/2. Factor -15*a**2 + 18*a + z*a**3 - 4.
(a - 2)**2*(7*a - 2)/2
Suppose -3*x - 9 = 6. Let t(l) = -l**3 - 6*l**2 - 5*l + 3. Let d be t(x). Factor 0 + 1/3*f - f**d - 2/3*f**2.
-f*(f + 1)*(3*f - 1)/3
Let d(v) = v + 5. Let r be d(-5). Let l(o) be the third derivative of 0*o + r + 0*o**3 - 4*o**2 - 1/210*o**5 + 0*o**4 - 1/735*o**7 - 1/210*o**6. Factor l(k).
-2*k**2*(k + 1)**2/7
Determine s, given that 2/7*s + 0 - 8/7*s**2 = 0.
0, 1/4
Let z = 2 + 1. Let l = z + 6. Factor -l + 6*m - m**2 + 3*m**2 + 13.
2*(m + 1)*(m + 2)
Solve 0 + 2*r + 2/3*r**3 - 8/3*r**2 = 0 for r.
0, 1, 3
Let p be (-35)/(-21) + (-2)/(-6). Let n(k) be the second derivative of -1/6*k**4 - 2*k - 1/20*k**5 + 0*k**p + 0 - 1/6*k**3. Determine i so that n(i) = 0.
-1, 0
Let f(g) be the first derivative of 3*g**4/10 + 2*g**3/15 - 8*g**2/15 - 8*g/15 - 16. Factor f(s).
2*(s - 1)*(3*s + 2)**2/15
Let k(b) be the second derivative of b**4/102 - 4*b**3/51 + 4*b**2/17 + 4*b. Suppose k(h) = 0. Calculate h.
2
Let w be ((-2)/(-5))/(5/(-150)). Let y = 12 + w. Suppose 0*f**2 + 0*f + 0 + 2/7*f**5 + y*f**4 - 2/7*f**3 = 0. Calculate f.
-1, 0, 1
Let m(u) be the third derivative of -3*u**6/220 - 17*u**5/165 - 7*u**4/33 + 8*u**3/33 + 3*u**2. Factor m(s).
-2*(s + 2)**2*(9*s - 2)/11
Let a be (6/16)/(8/(32/15)). Let w(j) be the second derivative of -a*j**5 - 1/2*j**4 + 3*j - j**3 - j**2 + 0. Factor w(f).
-2*(f + 1)**3
Let b(z) be the third derivative of -z**7/315 - z**6/540 - 2*z**2. Factor b(a).
-2*a**3*(3*a + 1)/9
Let g be (-3)/(-12) + (-21)/(-12). Factor -4*c**2 - 27 + c**g + 3*c**2 + 18*c - 3*c**2.
-3*(c - 3)**2
Let v be 6/5*45/18. Let i(l) = 6*l**3 + 6 + 5*l**3 - 5*l**3 - 9*l. Let w(p) = -5*p**3 + 9*p - 6. Let o(k) = v*w(k) + 2*i(k). Solve o(y) = 0.
-2, 1
Let f be 4*(3 - (-52)/(-24)). Factor f*o**2 - 2/3*o - 4*o**3 + 0.
-2*o*(2*o - 1)*(3*o - 1)/3
Let s = -51 - -56. Let o(r) be the first derivative of -r**s - 5/2*r**2 - 1/6*r**6 - 10/3*r**3 - 5/2*r**4 + 1 - r. Solve o(i) = 0.
-1
Let q(f) = f**2 - 10*f - 2. Let j(u) = u**2 - 9*u - 1. Let m(z) = 7*j(z) - 6*q(z). Let w(o) = -2*o**2 + 8*o - 14. Let i(g) = -8*m(g) - 3*w(g). Factor i(d).
-2*(d - 1)*(d + 1)
Let b(o) = o**3 - 5*o**2 - 4*o. Let f(j) = j**3 - 11*j**2 - 7*j. Let k(d) = -5*b(d) + 2*f(d). Factor k(v).
-3*v*(v - 2)*(v + 1)
Let x = -56 + 84. Let h = -53/2 + x. Find s, given that -1 - 1/2*s**2 - h*s = 0.
-2, -1
Let s(m) = 3*m**5 + 3*m**4 + 6*m**3 + 6*m**2 - 6*m. Let y(l) = -l**3 - l**2 + l. Let p(o) = -s(o) - 6*y(o). Factor p(v).
-3*v**4*(v + 1)
Let n = 39 - 37. Factor 10/11*w**n - 2/11*w**3 + 8/11 - 16/11*w.
-2*(w - 2)**2*(w - 1)/11
Let p(f) be the third derivative of -f**7/8820 - f**4/12 - f**2. Let u(l) be the second derivative of p(l). Factor u(a).
-2*a**2/7
Let k(m) = m**4 + 6*m**3 + 3*m**2 - m + 3. Let v(h) = -h**3 - h**2 - h - 1. Let o(w) = 2*k(w) + 6*v(w). Solve o(i) = 0 for i.
-2, 0, 1
Let t be ((-164)/60)/(1 + 0). Let j = 17/5 + t. Let j*w**3 + 2/3*w**2 + 0 - 2/3*w**4 - 2/3*w**5 + 0*w = 0. Calculate w.
-1, 0, 1
Let y(h) be the first derivative of h**4/12 + h**3/12 - h**2/4 + 4*h + 4. Let g(w) be the first derivative of y(w). Let g(o) = 0. What is o?
-1, 1/2
Factor -4/5*d + 6/5*d**2 + 1/5*d**3 - 1/5*d**4 - 8/5.
-(d - 2)**2*(d + 1)*(d + 2)/5
Suppose -s + 6*s + 4*b = -2, 4*b = -3*s + 2. Let y = -4/3 - s. Factor -4/3*x**3 - y*x**4 - 2/3*x**2 + 0 + 0*x.
-2*x**2*(x + 1)**2/3
Let y be 1/4 + 340/816. Factor 0*d + 2/3*d**2 - y.
2*(d - 1)*(d + 1)/3
Suppose 2*i = -i + 6. Find j, given that 4*j**2 + 4*j**4 - j**i - 3*j**4 - 4*j**2 = 0.
-1, 0, 1
Let j = -4 - -8. Suppose 3*x - j - 8 = 0. Determine f, given that 4*f**2 - 10*f + x*f**2 + 2 + 0*f**2 = 0.
1/4, 1
Suppose -2*f - 16 = -6*f. Suppose -3*o - 22 = -4*o - f*q, 0 = 3*o - q - 1. Factor 11*y + o*y**3 + 5*y - 8*y**2 - 8*y.
2*y*(y - 2)**2
Let y be 180/100*20/6. Let h(f) be the second derivative of 1/18*f**4 - 1/45*f**y + 0*f**2 + 0 + 0*f**3 - 3*f + 0*f**5. Factor h(t).
-2*t**2*(t - 1)*(t + 1)/3
Let x(u) be the third derivative of -u**8/840 - u**7/525 + u**6/150 + u**5/75 - u**4/60 - u**3/15 - 5*u**2. Factor x(f).
-2*(f - 1)**2*(f + 1)**3/5
Determine g so that -2/13*g**2 - 56/13*g - 392/13 = 0.
-14
Let h(w) be the first derivative of 3/20*w**5 + 0*w**3 + 0*w + 1/16*w**4 + 2 + 0*w**2. Let h(u) = 0. Calculate u.
-1/3, 0
Determine u, given that -3/4*u**3 + 0 + 21/4*u**5 + 5*u**4 - 1/2*u**2 + 0*u = 0.
-1, -2/7, 0, 1/3
Let q be (6 - 6)/(-1 - -2). Let 