v**6 - 2/35*v**p + 0*v**2 + 1. Let l(q) = 0. Calculate q.
-1, 0, 1/2, 1
Let -8/7*m**2 - 3/7*m + 12/7*m**4 - 4/7*m**5 + 0 + 3/7*m**3 = 0. Calculate m.
-1/2, 0, 1, 3
Suppose 2*d**3 + d + 6*d**2 + 7*d - 4*d = 0. What is d?
-2, -1, 0
Let u(x) be the second derivative of x**6/60 + x**5/20 - x**4/24 - x**3/6 + 3*x. Let u(c) = 0. What is c?
-2, -1, 0, 1
Let i(d) = d**3 - 11*d**2 + 17*d + 9. Let a be i(9). Solve 2/11*u**2 + a - 2/11*u = 0.
0, 1
Let b = 22829 + -137513/6. Let y = b + 90. Factor -1/6*t**3 + 0 - y*t**4 + 1/6*t**2 + 1/6*t.
-t*(t - 1)*(t + 1)**2/6
Suppose 4/5*g**5 - 4/5*g**4 + 8/5*g + 4/5*g**2 - 12/5*g**3 + 0 = 0. What is g?
-1, 0, 1, 2
Let g(a) = a + 11. Let p be g(-12). Let c = 4 - p. Let 6*d**4 - 4*d**3 + 4*d**5 + 7*d**3 - d**c = 0. Calculate d.
-1, 0
Let v(a) be the third derivative of -a**8/1680 + 2*a**7/525 - a**6/120 + a**5/150 + 5*a**2. Factor v(k).
-k**2*(k - 2)*(k - 1)**2/5
Let i(j) be the second derivative of j**7/49 - j**6/5 + 27*j**5/35 - 11*j**4/7 + 13*j**3/7 - 9*j**2/7 + 14*j. Factor i(z).
6*(z - 3)*(z - 1)**4/7
Let f(w) be the second derivative of w**5/130 + w**4/26 - 4*w**2/13 + 6*w. Factor f(k).
2*(k - 1)*(k + 2)**2/13
Let d be -1 - 2*3/(-2). Let o = 7 - 5. Factor q**4 + q**4 - o*q**3 - d*q**4 - 2*q**4.
-2*q**3*(q + 1)
Let f = 8 + -5. Let -a**3 - 2*a**f + a**3 + 0*a**2 - 4*a**2 = 0. Calculate a.
-2, 0
What is j in 18/7*j**2 + 4/7 + 22/7*j = 0?
-1, -2/9
Let f be (-3)/(-5) + (-880)/1470. Let t(r) be the third derivative of 2*r**2 - 1/420*r**6 + 0*r**4 - 1/105*r**5 + 0*r + f*r**7 + 0*r**3 + 0. Factor t(y).
2*y**2*(y - 2)*(y + 1)/7
Let q(x) be the third derivative of 0*x**3 + 0 + 1/20*x**5 + 0*x + 0*x**4 - 1/40*x**6 - x**2. Factor q(w).
-3*w**2*(w - 1)
Let r be ((-2)/1)/((-12)/21). Factor -1 - r*v**4 - 27/2*v**2 + 23/2*v**3 + 13/2*v.
-(v - 1)**3*(7*v - 2)/2
Let n(a) be the first derivative of -a**3/12 - a**2/2 - 16. Solve n(l) = 0.
-4, 0
Let x(u) be the third derivative of 0 + 0*u + 1/21*u**3 - 1/210*u**5 + 2*u**2 + 0*u**4. What is s in x(s) = 0?
-1, 1
Let k be 10/(-15) + 34/6. Solve 6*p**k + 8*p**3 + 10*p**4 - 7*p**2 - 2*p**5 + 9*p**2 = 0 for p.
-1, -1/2, 0
Let o(b) = 18*b - 70. Let t be o(4). Suppose 152*f + 16 + 424*f**t + 140*f**3 + 343/2*f**5 - 539*f**4 = 0. Calculate f.
-2/7, 2
Let n(t) = -t**4 - 6*t**3 + 3*t**2 + t + 3. Let z(d) = -d**3 + d**2 - d + 1. Let w(i) = 2*n(i) - 6*z(i). Factor w(q).
-2*q*(q - 1)*(q + 2)**2
Let x(v) be the second derivative of 1/20*v**5 + 0 - 1/12*v**4 + 1/2*v**2 + v - 1/6*v**3. What is o in x(o) = 0?
-1, 1
Suppose -h = 5*p + 21, 0 = -0*h - h + 3*p + 19. Factor 0*d - 4/5*d**3 + 0 + 2/5*d**2 + 2/5*d**h.
2*d**2*(d - 1)**2/5
Suppose 0*c - 3/2*c**2 + 0 + 3/4*c**3 + 3/4*c**4 = 0. Calculate c.
-2, 0, 1
Factor -20*g**2 - 1 + 1 + 21*g**2.
g**2
Suppose -11*n = 4*n - 75. Let 0*a + 0 + 9/4*a**3 + 3/4*a**4 + 1/2*a**2 - a**n = 0. What is a?
-1, -1/4, 0, 2
Let g(j) be the third derivative of j**7/1680 + j**3/3 + j**2. Let d(q) be the first derivative of g(q). Suppose d(b) = 0. Calculate b.
0
Let v(u) be the second derivative of u**4/18 - u**3/9 - 2*u**2/3 + 2*u. Find z such that v(z) = 0.
-1, 2
Let u(l) be the first derivative of -7*l**6/600 + l**5/600 + l**4/60 + 2*l**3/3 + 1. Let i(o) be the third derivative of u(o). Suppose i(h) = 0. What is h?
-2/7, 1/3
Suppose -2*d = -5*u - 30, -2*d + 4*d - 14 = u. Suppose -2*n = d*m, -n = 2*n + 15. Determine v so that -m*v**2 + 0*v**2 + v**2 + v = 0.
0, 1
Let x(k) = -2*k**3 + 11*k**2 - 9*k. Let l(y) = 10*y**3 - 54*y**2 + 44*y. Let v(n) = 3*l(n) + 16*x(n). Find s, given that v(s) = 0.
0, 1, 6
Suppose -12*d - 6 = -15*d. Determine m, given that -8*m**4 - 2/3*m**3 + 0 - 4/3*m + 6*m**d = 0.
-1, 0, 1/4, 2/3
Let y(h) be the second derivative of -h**7/1680 - h**6/360 - h**3/6 + h. Let z(g) be the second derivative of y(g). What is r in z(r) = 0?
-2, 0
What is v in 9*v**5 + 7*v**3 - 24*v + v**2 + 15*v**4 + 24*v = 0?
-1, -1/3, 0
Suppose 0 = 4*g + g - 20. Factor 3*r**3 + r**4 + r**g + 0*r**3 - 5*r**4.
-3*r**3*(r - 1)
Let n(z) be the second derivative of -14*z**6/15 + 6*z**5 - 43*z**4/3 + 16*z**3 - 8*z**2 - 12*z. Determine j so that n(j) = 0.
2/7, 1, 2
Let b(o) be the first derivative of -5*o**4/4 + 5*o**3/3 + 5*o**2/2 - 5*o - 9. Factor b(u).
-5*(u - 1)**2*(u + 1)
Let y be (-3)/2*80/(-30). Suppose -2*z = -y*z. Factor 2/9*t - 2/9*t**2 - 2/9*t**3 + 2/9*t**4 + z.
2*t*(t - 1)**2*(t + 1)/9
Let a be (-2 + 0)*(-6)/(-4). Let j be (-26)/(-32)*4 + a. Factor 1/4*h**3 + 1/2*h**4 + 0*h**2 + 0 + j*h**5 + 0*h.
h**3*(h + 1)**2/4
Let w(t) = -2*t**3 - t. Let z(v) = 14*v**3 + 8*v. Let m(a) = -44*w(a) - 6*z(a). Determine c, given that m(c) = 0.
-1, 0, 1
Let g = -3/46 + 193/138. Factor -3*m**4 - 4/3*m + 11/3*m**2 - g + 2*m**3.
-(m - 1)**2*(3*m + 2)**2/3
Let f(u) = -2*u - 12. Let j be f(-8). Suppose -v + 0 = -j. Factor 1 - 1 - 3*r**3 - r - 3*r**2 + 2*r**4 - 3*r**v.
-r*(r + 1)**3
Factor 8/5 - 72/5*b + 34/5*b**2.
2*(b - 2)*(17*b - 2)/5
Suppose -3*k = -5*k + 4. Suppose -k*d + 4 = -0*d. Factor -1/3*g + 0 + 2/3*g**d.
g*(2*g - 1)/3
Factor 12*j**2 + 3*j**4 + 5*j**2 - 4 - 18*j**3 + 2*j**4.
(j - 2)*(j - 1)**2*(5*j + 2)
Let u(i) be the third derivative of i**9/52920 - i**8/23520 - i**4/24 - 4*i**2. Let h(y) be the second derivative of u(y). Solve h(a) = 0 for a.
0, 1
Let f(x) be the first derivative of x**3/18 + x**2/6 + x/6 + 5. Suppose f(k) = 0. What is k?
-1
Find h such that -1/3*h - 1/6*h**3 + 0 - 1/2*h**2 = 0.
-2, -1, 0
Let q(z) be the first derivative of -1/18*z**3 + 0*z**2 - 1/15*z**5 - 1/8*z**4 + 4 + 0*z. Factor q(u).
-u**2*(u + 1)*(2*u + 1)/6
Let h(v) be the third derivative of -v**6/8 - 7*v**5/5 - 13*v**4/8 + 5*v**3 + 23*v**2. Solve h(f) = 0 for f.
-5, -1, 2/5
Suppose 12 = -g + 7*g. Let t(s) be the third derivative of g*s**2 + 1/210*s**7 + 1/120*s**6 + 0 - 5/24*s**4 - 1/3*s**3 + 0*s - 1/20*s**5. Solve t(f) = 0 for f.
-1, 2
Let r be (9 + -2)*(-12)/(-14). Let z be (-2 + -1)/(r/(-4)). Determine o so that 2*o - 3*o**2 + 21*o**z + 10*o + 2 = 0.
-1/3
Let o(j) = j**4 + 7*j**3 + 2*j**2 - 7*j + 3. Let z(i) = 2*i**4 + 20*i**3 + 6*i**2 - 20*i + 8. Let q(v) = -8*o(v) + 3*z(v). Factor q(r).
-2*r*(r - 2)*(r - 1)*(r + 1)
Solve 20/3*a + 50/3 + 2/3*a**2 = 0.
-5
Let r = -10 + 8. Let c be -4 - -4 - 6/r. Factor 7*k**3 - 6*k**2 + 3*k**2 - c*k - 1 - 8*k**3.
-(k + 1)**3
Find f, given that 2*f**2 + 32/7*f + 8/7 = 0.
-2, -2/7
Solve 6*p + p**3 + 3*p - 6*p**2 - 4*p**3 = 0 for p.
-3, 0, 1
Let x(h) be the second derivative of -h**4/36 + h**3/18 + h**2/3 - 9*h. Find b such that x(b) = 0.
-1, 2
Let j(q) be the second derivative of 5/3*q**3 - 2*q**2 + 1/3*q**4 + 0 - 1/2*q**5 + 4*q. Determine h, given that j(h) = 0.
-1, 2/5, 1
Let z be 4/(-6)*(6 + -7). Let g(b) be the first derivative of z*b**3 - b**2 + 2 - 2*b + 1/2*b**4. Factor g(a).
2*(a - 1)*(a + 1)**2
Let z be (-28)/(-45) - (-4)/(-18). Factor -2/5*v**2 + 0*v + z.
-2*(v - 1)*(v + 1)/5
Let w(d) be the first derivative of d**6/51 - 3*d**4/34 + 4*d**3/51 + 2. Factor w(v).
2*v**2*(v - 1)**2*(v + 2)/17
Let l(i) be the third derivative of i**5/390 - i**4/52 - 4*i**3/39 - 12*i**2. Factor l(p).
2*(p - 4)*(p + 1)/13
Determine j, given that 460*j**2 - 4*j + j - 463*j**2 + 0*j + 6 = 0.
-2, 1
Let z(i) be the first derivative of 2*i**3/33 + 12*i**2/11 + 72*i/11 - 14. Factor z(j).
2*(j + 6)**2/11
Let r(k) be the first derivative of 2*k**3 + 1/5*k**5 + 2*k**2 + k - 2 + k**4. Suppose r(l) = 0. What is l?
-1
Let t(c) = 4*c. Let m be t(5). Suppose 5 = -2*g - 5*o + m, 5*g + 2*o = 6. Solve s**2 - s**2 - s**3 - s + g*s**3 + 2*s**2 = 0 for s.
0, 1
Let d be -1 + 2/4*6. Let u(c) be the third derivative of -2*c**d + 0 + 0*c + 0*c**3 + 1/210*c**5 - 1/210*c**6 + 0*c**4. Suppose u(s) = 0. What is s?
0, 1/2
Let j(z) be the third derivative of z**8/264 + 4*z**7/385 + z**6/220 - z**5/165 - 27*z**2. Factor j(k).
2*k**2*(k + 1)**2*(7*k - 2)/11
Let j(n) be the first derivative of 3/4*n**3 - 6 + 0*n - 3/8*n**2. Factor j(z).
3*z*(3*z - 1)/4
Let u(m) = -17*m - 44. Let l be u(-4). Factor -2/5 - l*y**2 + 26/5*y - 128/5*y**4 + 224/5*y**3.
-2*(y - 1)*(4*y - 1)**3/5
Let k(q) be the first derivative of -2 - 1/3*q**2 + 1/3*q**3 + 1/30*q**5 - 1/6*q**4 - 2*q. Let v(t) be the first derivative of k(t). Factor v(c).
2*(c - 1)**3/3
Let z be ((-8)/6)/((-2)/3). Let r be (z/(-3))/((-4)/30). Factor u**3 - 4*u**2 + r*u**2 - 3*u*