 j**6/45 - 17*j**2. Let m(q) = 0. What is q?
0, 2
Factor -2/7*k**4 - 2*k**2 + 0 - 6/7*k - 10/7*k**3.
-2*k*(k + 1)**2*(k + 3)/7
Let d be (((-515)/2)/(-5))/(-1). Let h = -50 - d. Factor -9/2*a**2 - 3/2*a**3 + h*a + 3/2*a**4 + 3.
3*(a - 2)*(a - 1)*(a + 1)**2/2
Let p be 100/210 - 6/(-9). Suppose p*h - 8/7*h**2 + 0 - 6/7*h**3 = 0. What is h?
-2, 0, 2/3
Let v(a) be the second derivative of -a**5/35 + a**4/12 - a**3/21 - a**2/14 - 5*a. Let v(h) = 0. Calculate h.
-1/4, 1
Let w(d) be the third derivative of 0*d - 2/135*d**5 - 1/540*d**6 + 2*d**2 + 0 - 5/108*d**4 - 2/27*d**3. Determine f so that w(f) = 0.
-2, -1
Solve 0 + 1/5*s + 1/5*s**4 - 1/5*s**3 - 1/5*s**2 = 0.
-1, 0, 1
Let w be 3*(-25)/60*(-14)/35. Factor -1/4 - 1/4*t**2 - w*t.
-(t + 1)**2/4
Suppose -1 - 7 = 4*j. Let p = j + 4. Factor -p*v**3 - 2*v**5 + 2 + 4*v**4 - 2.
-2*v**3*(v - 1)**2
Let g(v) = 20*v**3 + v**2 - 1. Let i be g(1). Let r be i/(-12) - (-2 + 0). Factor -r*h**2 - h - 2/3.
-(h + 1)*(h + 2)/3
Let w(n) be the first derivative of n**3/4 + n**2/16 - 61. Find y such that w(y) = 0.
-1/6, 0
Let g(l) be the first derivative of -7*l**5/10 + 19*l**4/8 - 5*l**3/2 + l**2/4 + l - 2. Determine b, given that g(b) = 0.
-2/7, 1
Let t(q) = 2*q**4 + 4*q**2 - 4. Let l = 11 + -7. Let y(b) = b**4 + 3*b**2 - 3. Let o(u) = l*y(u) - 3*t(u). Factor o(x).
-2*x**4
Let j(i) be the third derivative of 0*i**3 + 0 - 1/420*i**7 - i**2 + 0*i**4 - 1/120*i**6 - 1/120*i**5 + 0*i. Factor j(u).
-u**2*(u + 1)**2/2
Factor 2*a + 1/2*a**2 + 2.
(a + 2)**2/2
Suppose -4*t + 13 = -3. Let m(l) = 2*l - 6. Let w be m(t). Find a such that 6*a - w*a**4 - 7*a**4 - 2*a**5 - 3*a**3 - a**5 + 9*a**2 = 0.
-2, -1, 0, 1
Let j be (2 + -1)/(6/18). Let d be (-2)/3*j/(-6). Factor 0 + 0*n + d*n**2 - 1/3*n**3.
-n**2*(n - 1)/3
Let d(r) be the second derivative of -3/2*r**2 + 1/4*r**4 - 1/2*r**3 + 3/20*r**5 + 0 + 6*r. Factor d(z).
3*(z - 1)*(z + 1)**2
Let z = 15/14 + 37/70. Factor -4/5 + 1/5*l**3 + z*l - l**2.
(l - 2)**2*(l - 1)/5
Suppose j + v - 4 = 2*v, 2 = -2*j - 3*v. Find f such that -2*f + f + f**j + f - 1 = 0.
-1, 1
Suppose -3*y = -l - 8, -4*y - 7 = -4*l - 5*y. Let g be ((-135)/(-12))/9 - l. What is r in 1 - 1/4*r**4 + 5/4*r**3 + g*r**2 - 1/4*r**5 - 2*r = 0?
-2, 1
Let h be ((-4)/(-14))/((-4)/(-34)). Let m = -71/35 + h. Suppose 3/5*r + 1/5*r**2 + m = 0. Calculate r.
-2, -1
Let r(a) be the first derivative of a**6/30 - 3*a**4/20 + 2*a**3/15 + 6. Factor r(p).
p**2*(p - 1)**2*(p + 2)/5
Let c = 719/15330 - 13/292. Let o(u) be the third derivative of 0*u**3 + 0*u + c*u**7 + 0 - 1/240*u**6 + 1/48*u**4 - 1/120*u**5 + u**2. Factor o(k).
k*(k - 1)**2*(k + 1)/2
Suppose -13 = -5*r - 2*f + 7, 0 = -r - 5*f + 4. Factor -3 - 2 - 4*o - 4*o**3 + 4 - o**r - 6*o**2.
-(o + 1)**4
Let u = -4 - -4. Solve -7*a - a**2 + u*a - 1 + 5*a = 0.
-1
Let y(z) be the first derivative of 3 - 28/3*z**3 - 4*z - 11*z**2. Factor y(k).
-2*(2*k + 1)*(7*k + 2)
Suppose 2*k - 7*k = 0. Let b be 5/(-25) - 9/(-15). Factor k + 2/5*p**3 - b*p**2 + 0*p.
2*p**2*(p - 1)/5
Let w(b) be the first derivative of 3*b**5/5 + 9*b**4/2 + 13*b**3 + 18*b**2 + 12*b - 12. Suppose w(i) = 0. Calculate i.
-2, -1
Suppose 0 = -j + 2 + 1. Solve -2*y**2 + 4*y - 3*y - j*y = 0.
-1, 0
Let t(v) be the first derivative of 5*v**3/3 + 25*v**2/2 + 28. Factor t(b).
5*b*(b + 5)
Let p(m) be the first derivative of 1 + 5/3*m**3 + m**4 + 0*m + m**2 + 1/5*m**5. Solve p(d) = 0 for d.
-2, -1, 0
Let m be (20/16)/(6/176). Let j = 37 - m. Factor 2/3*n - j - 1/3*n**2.
-(n - 1)**2/3
Let p(o) be the second derivative of o**4/96 + o**3/16 + o**2/8 + 4*o. Factor p(h).
(h + 1)*(h + 2)/8
Suppose 3*i + 32 = 5*b, 0 = 3*b - 2*i + 5*i. What is v in 2*v**4 + v**b - v**5 - 4*v - 2*v**5 + 9*v**3 - 3*v**2 - 2*v = 0?
-1, 0, 1, 2
Let w(c) = c + 13. Let q be w(-9). Suppose p - q*p = -9. Find n such that n + 4 - p*n**3 + n**3 + n - 4*n**2 = 0.
-2, -1, 1
Let o(s) be the second derivative of -s**5/100 - s**4/30 - s**3/30 + 2*s. Let o(v) = 0. Calculate v.
-1, 0
Let h(g) = 2*g**3 - 10*g**2 - 4*g - 8. Let m(r) = r**3 - 3*r**2 - r - 3. Let c(n) = -3*h(n) + 8*m(n). Determine o so that c(o) = 0.
-2, -1, 0
Factor -2/21*k**4 + 0 + 2/21*k**2 + 2/21*k - 2/21*k**3.
-2*k*(k - 1)*(k + 1)**2/21
Let k = -7 - -7. Suppose 0 = -3*p - k*p. Determine s, given that -1/4*s**2 + p - 1/2*s = 0.
-2, 0
Let t(s) be the second derivative of -s**9/10584 + 2*s**3/3 + 4*s. Let q(z) be the second derivative of t(z). Factor q(v).
-2*v**5/7
Let q(i) = i**2 + 2*i - 3. Let v be q(-3). Solve -2*t**2 - 1 + 2 + 4*t - 3 + v*t = 0.
1
Let n(o) be the second derivative of -1/24*o**3 + 0 + 0*o**2 + 3*o - 1/48*o**4. Factor n(s).
-s*(s + 1)/4
Suppose -6*h + 6*h = -7*h. Let y(q) be the first derivative of 1/4*q**2 + 3 + h*q - 1/6*q**3. Solve y(f) = 0 for f.
0, 1
Suppose 3*l - 2 - 25 = -5*x, 0 = 2*x - 6. Factor 0*d + 2/5*d**3 - 1/5*d**l + 0 - 1/5*d**2.
-d**2*(d - 1)**2/5
Let k be 2/(-11) - (-4688)/132. Let a = 36 - k. Find x such that -a*x + 7/3*x**3 + 0 - 5/3*x**2 = 0.
-2/7, 0, 1
Let n(r) be the third derivative of -r**6/40 + r**5/5 - 5*r**4/8 + r**3 + 6*r**2. Suppose n(m) = 0. What is m?
1, 2
Let u(w) be the first derivative of 6 + 0*w**2 - 2/15*w**3 + 2/5*w. Factor u(s).
-2*(s - 1)*(s + 1)/5
Let f be (1 - 13)*(-2)/3. Let t be 10/f + 18/(-24). Suppose 1/2*c**2 - t + 0*c = 0. What is c?
-1, 1
Let v = 7 + 5. Let j(t) = -14*t**3 - 6*t**2 - 18*t - 10. Let u(b) = -b**3 - b**2 - b - 1. Let l(f) = v*u(f) - j(f). Factor l(c).
2*(c - 1)**3
Let u(a) be the first derivative of 0*a**2 - 4 + 3/20*a**5 - 1/4*a**3 + 0*a**4 + 0*a. Factor u(h).
3*h**2*(h - 1)*(h + 1)/4
Let r(n) = -4*n**3 - 4*n**2 + 2*n + 2. Let t(z) = -12*z**3 - 12*z**2 + 7*z + 7. Let m(b) = -7*r(b) + 2*t(b). Suppose m(l) = 0. Calculate l.
-1, 0
Let g(s) be the second derivative of -1/6*s**3 - 1/24*s**4 + 0*s**2 + 0 + 4*s. Determine h so that g(h) = 0.
-2, 0
Let x(d) be the first derivative of 6 + d - 5*d + 0*d - d**3 + 3*d**3 - d**2. Find a, given that x(a) = 0.
-2/3, 1
Suppose 5*z = -v - v - 15, -v + 2*z + 15 = 0. Let w = -2 + v. Factor -b**3 + 6*b**4 - 6*b**2 + 2*b - b**3 - w*b**3 + 3*b**3.
2*b*(b - 1)*(b + 1)*(3*b - 1)
Let l(u) = u**2 - 3*u + 4. Let f be l(2). What is j in -2/5*j**f + 4/5 - 2/5*j = 0?
-2, 1
Let h be -3*(1 + -2) - (-6)/(-2). Let o(b) be the third derivative of 1/24*b**3 + h*b**4 + 0 - 1/240*b**5 - 2*b**2 + 0*b. Suppose o(k) = 0. Calculate k.
-1, 1
Suppose 0 = -7*t + 3*t - 12. Let s be (2 - t)*2/15. Determine u so that 8/3*u**2 - s*u + 0 = 0.
0, 1/4
Let f = 2/11 + -9/110. Let u(x) be the first derivative of 0*x**2 - f*x**4 - 2/15*x**3 + 0*x + 1. Factor u(h).
-2*h**2*(h + 1)/5
Let q = -1/20 + 11/120. Let u(z) be the second derivative of 0*z**2 - 3*z + 0 + 0*z**4 + 1/80*z**5 - q*z**3. Determine g so that u(g) = 0.
-1, 0, 1
Let v(z) be the first derivative of -4 + 8*z + z**4 - 4*z**3 + 4/5*z**5 - 2*z**2. Factor v(u).
4*(u - 1)**2*(u + 1)*(u + 2)
Let x(p) = -p**3 + 7*p**2 - 4*p - 6. Let w be x(6). Suppose -8*l**2 + 4 - 2 + w*l + 0 = 0. Calculate l.
-1/4, 1
Let 0*n - 1/5*n**2 + 0 - 2/5*n**3 - 1/5*n**4 = 0. Calculate n.
-1, 0
Let n(l) be the second derivative of l**3/6 + 2*l**2 - 2*l. Let h be n(-4). Factor 0*t**2 + t**2 - 2 + t + h*t.
(t - 1)*(t + 2)
Find m, given that 1/12*m**2 + 1/3*m - 1/3 - 1/12*m**3 = 0.
-2, 1, 2
Let j be (4 - 2)*(-25)/(-10). Suppose 0 = j*i - 8 - 17. Factor -4/7*m**2 + 4/7*m**4 - 2/7*m**i + 0*m**3 + 2/7*m + 0.
-2*m*(m - 1)**3*(m + 1)/7
Let y(r) be the first derivative of 5*r**3/3 - 10*r**2 + 56. Let y(i) = 0. What is i?
0, 4
Suppose -4*b + 3*s = -b - 216, 3*b = -s + 232. Solve 58*o**3 + 15*o**5 + 16 - 32*o**2 + b*o**2 - 72*o - 60*o**4 - o**5 = 0.
-1, 2/7, 1, 2
Solve 3/2*l**2 + 3 - 3*l**3 + 15/2*l = 0 for l.
-1, -1/2, 2
Let b(h) be the third derivative of h**7/210 + h**6/24 + 7*h**5/60 + h**4/8 + 7*h**2. Factor b(j).
j*(j + 1)**2*(j + 3)
Let k = 3/7 + -2/21. Factor 0 + 1/3*h**4 - 1/3*h**2 + 0*h - k*h**5 + 1/3*h**3.
-h**2*(h - 1)**2*(h + 1)/3
What is d in -4/7*d**3 + 0 + 4/7*d**2 + 0*d = 0?
0, 1
Let d(y) be the first derivative of -49*y**6/120 + 7*y**5/15 - y**4/6 - y**2 + 1. Let s(h) be the second derivative of d(h). Let s(m) = 0. What is m?
0, 2/7
Let l(i) = -i**3 + i**2 + i + 1. Let w(u) = 6*u**4 - 14*u**3 - 4*u**2 + 6*u + 10. Let t(g) = 20*l(g) - 2*w(g). Factor t(z).
-4*z*(z - 2)*(z + 1)*(3*z + 1)
Let j(p) = 