f -w**5/80 + 8*w. Let s(z) = 0. What is z?
0
Suppose 5*j - o - 7 = 0, 0 = -2*j + o - 5*o + 16. Suppose 2*l = 6, -15 = 4*p - 8*l + 3*l. Factor -5*t**3 - t + p*t**2 - t**4 + 0*t**4 - 3*t**2 + j*t**3.
-t*(t + 1)**3
Let k = -79 + 475/6. Let g(s) be the second derivative of 7/60*s**6 + 2/5*s**5 + 0*s**3 + k*s**4 + 0*s**2 + 0 - 3*s. Solve g(z) = 0.
-2, -2/7, 0
Let n(r) = -15*r**3 - 12*r**2 + 3*r + 1. Let s(m) = 1. Let h(k) = -n(k) + s(k). Solve h(x) = 0.
-1, 0, 1/5
Let y = 26/123 + 5/41. Suppose -5/3*m + 1/3*m**3 + m**2 - y*m**4 + 2/3 = 0. What is m?
-2, 1
Let o(p) be the third derivative of p**6/600 + p**5/100 - 2*p**3/15 + 20*p**2. Factor o(l).
(l - 1)*(l + 2)**2/5
Let t(a) be the third derivative of 0*a - 9/4*a**4 - 1/20*a**6 + 1/420*a**7 + 0 - a**2 + 9/20*a**5 + 27/4*a**3. Factor t(h).
(h - 3)**4/2
Let h(z) be the second derivative of -1/12*z**4 + 1/2*z**2 + 1/20*z**5 + 7*z - 1/6*z**3 + 0. Determine g so that h(g) = 0.
-1, 1
Let g be 12/(-15)*(-25)/2. Let t = 10 - g. Factor -2/7*z**2 + t + 0*z.
-2*z**2/7
Suppose o + 4*n = 2*o, 2*n - 14 = -3*o. Suppose -4*d = 21 - 29. Factor -31*q**3 - 3*q**4 + 29*q**3 - d*q**5 - q**o.
-2*q**3*(q + 1)**2
Let q be 1*(-1)/2*-2. Suppose 4*x - 7 - q = 0. Suppose -5*v**2 - v - v**4 + 0*v**4 + 2*v**2 + v**3 + 4*v**x = 0. What is v?
-1, 0, 1
Let l(j) = -4*j + 92. Let m be l(23). Suppose -5*h + 20 = 3*s + 2*s, 0 = -3*s - 2*h + 8. Solve m*g + s + 3/2*g**2 = 0.
0
Suppose -6 = -2*f - f. Factor -9*k**4 - 18*k**4 - 12 - 183*k**f + 101*k - 17*k + 126*k**3.
-3*(k - 2)**2*(3*k - 1)**2
Let u(j) be the second derivative of j**10/19440 + j**9/5670 + j**8/10080 - j**7/5670 - j**4/12 - 3*j. Let h(i) be the third derivative of u(i). Solve h(p) = 0.
-1, 0, 2/7
Suppose -2*x = 4*y - 154, 4*y + 4*x - 128 - 36 = 0. Let w = 36 - y. Factor w*a - 8/5 + 2/5*a**2.
2*(a - 2)*(a + 2)/5
Let q(d) = d**2 - 7*d + 3. Let g(k) = -4*k**2 + 34*k - 16. Let r(s) = 6*g(s) + 28*q(s). Determine a, given that r(a) = 0.
-3, 1
Determine l, given that 0 - 2/7*l + 2/7*l**2 = 0.
0, 1
Let w = -7 + 10. Factor 10*q**4 + q**2 - 12*q**w - 3*q - 4*q**2 - q**4 + 9*q.
3*q*(q - 1)**2*(3*q + 2)
Let i(o) = -o**3 - 3*o**2 - o - 1. Suppose -n + 2*y = -5, -2*n = -n + 2*y + 11. Let a be i(n). What is u in -6*u**3 - 5*u - 6*u**a + 0*u**3 - 2*u**4 + 3*u = 0?
-1, 0
Let p = 1021/12 + -85. Let f(n) be the second derivative of 1/2*n**2 + 0 + p*n**3 - 1/24*n**4 + 2*n. Let f(m) = 0. What is m?
-1, 2
Let z(g) be the first derivative of 2*g**3/3 + 2*g**2 + 2*g - 6. Factor z(y).
2*(y + 1)**2
Let r(a) be the third derivative of a**7/840 - a**6/180 + a**5/120 - 5*a**3/6 - a**2. Let t(s) be the first derivative of r(s). Let t(m) = 0. Calculate m.
0, 1
Factor 2*k - 12*k + 5*k**2 - 4*k - 3*k**2.
2*k*(k - 7)
Let i(u) = u**2 + 5*u - 12. Let o be i(-7). Let h(q) be the first derivative of -o - 1/12*q**3 + 0*q**4 + 0*q**2 + 0*q + 1/20*q**5. Find g, given that h(g) = 0.
-1, 0, 1
Let z(d) be the second derivative of -d**10/90720 + d**8/10080 - d**6/2160 - d**4/6 + d. Let n(b) be the third derivative of z(b). Find l, given that n(l) = 0.
-1, 0, 1
Suppose -2*x = 21 - 21. Factor 4/7*q + x + 6/7*q**2 + 2/7*q**3.
2*q*(q + 1)*(q + 2)/7
Let j(c) = 3*c**5 - 4*c**4 - 3*c. Let w(m) = 4*m**5 - 5*m**4 - m**2 - 4*m. Let k(n) = -3*j(n) + 2*w(n). Factor k(p).
-p*(p - 1)**3*(p + 1)
Let x = 22 + -16. Let k be 2/x - (1 - 1). What is f in k*f**3 + 0 - 1/3*f**4 + 0*f**2 + 0*f = 0?
0, 1
Let b(x) be the first derivative of 3*x - 3 + 0*x**3 - 1/6*x**2 + 1/36*x**4. Let s(n) be the first derivative of b(n). Factor s(i).
(i - 1)*(i + 1)/3
Let f be (-8)/10 - (-29)/30. Let g(c) be the second derivative of 1/5*c**5 - f*c**4 + 0 - 1/15*c**6 - c + 0*c**2 + 0*c**3. Solve g(a) = 0.
0, 1
Let a = -3 - -19. Suppose q + 2 = 3*v, -5*v - 4*q + a + 10 = 0. Factor -2*w**5 + 2*w**4 + w**4 - 2*w**v - 2*w**3 + 3*w + w**5 - 1.
-(w - 1)**4*(w + 1)
Let j(y) be the second derivative of 0*y**3 - 1/2*y**2 - 1/36*y**4 + 2/45*y**5 + 0 - 2*y - 1/60*y**6. Let m(x) be the first derivative of j(x). Solve m(d) = 0.
0, 1/3, 1
Let q(t) be the third derivative of 0*t**3 + 0*t**4 + 1/300*t**6 + 1/525*t**7 + 0*t + 0*t**5 + 0 - 5*t**2. Factor q(i).
2*i**3*(i + 1)/5
Let -2*t**2 + 4 - 6 - 1 - 4*t + 1 = 0. Calculate t.
-1
Let f(t) be the first derivative of -1/3*t**3 + 1/12*t**4 + 1 + 0*t + 1/3*t**2. Factor f(a).
a*(a - 2)*(a - 1)/3
Let s(f) = f**3 + 2 - 2*f**3 + 8*f - 3*f**2 - 10*f. Let t be s(-2). Factor 6*i**4 - 4*i**3 - t - 4*i**2 + 4*i**5 - 5*i**5 - i**5 + 6*i.
-2*(i - 1)**4*(i + 1)
Find s such that 3 - 3 + 2 + 8*s**2 - 10*s**2 = 0.
-1, 1
Let m be 2/(-8) + (-135)/(-252). Factor 2/7*s**2 - 2/7 + 2/7*s - m*s**3.
-2*(s - 1)**2*(s + 1)/7
Factor -3/2*y**2 - 8 - 6*y - 1/8*y**3.
-(y + 4)**3/8
Let n be 1*1/(-3)*-6. Factor -c + 5*c - 2*c**3 + n*c**5 - 2*c - 2*c**3.
2*c*(c - 1)**2*(c + 1)**2
Let p(m) be the first derivative of m**5/20 + 3*m**4/16 - m**3/12 - 3*m**2/8 + 62. Factor p(u).
u*(u - 1)*(u + 1)*(u + 3)/4
Factor -4/9*u**3 + 0*u**4 + 0 + 0*u**2 + 2/9*u**5 + 2/9*u.
2*u*(u - 1)**2*(u + 1)**2/9
Let m(a) = 4*a**4 + 2*a**3 + 10*a**2 + 6*a + 12. Let j(t) = -3*t**4 - 2*t**3 - 9*t**2 - 5*t - 10. Let g(d) = -6*j(d) - 5*m(d). Find b, given that g(b) = 0.
-1, 0, 2
Let f(b) be the first derivative of 4*b**3/3 + 6*b**2 + 9*b - 11. Factor f(s).
(2*s + 3)**2
Find c, given that -c**2 + 1/3*c + c**4 + 0 + 4/3*c**5 - 5/3*c**3 = 0.
-1, 0, 1/4, 1
Let r = 290 + -289. Suppose 2*h - h - 2*k - 8 = 0, 4*h = k + 11. Factor -1/2*d**h - r + 3/2*d.
-(d - 2)*(d - 1)/2
Let x(o) be the first derivative of -3*o**5/5 + 3*o**3 - 3*o**2 - 17. Factor x(a).
-3*a*(a - 1)**2*(a + 2)
Let q = 2/49 - -45/98. Let o(p) = -p**2 + 8*p - 14. Let t be o(4). Let 1/2*f**t + q*f**3 - 1/2*f + 0 - 1/2*f**4 = 0. What is f?
-1, 0, 1
Let k(p) = 4*p**2 + 15*p + 18. Let c(s) = s**2 + 5*s + 6. Let l(v) = -21*c(v) + 6*k(v). Factor l(n).
3*(n - 6)*(n + 1)
Let 2/5*l**2 + 2/5 + 4/5*l = 0. Calculate l.
-1
Let s be 4 - 1 - 1*-2. Let g be -2*3/(-2) - s. Let p(l) = 3*l**2 + 2. Let x(j) = -4*j**2 + j - 3. Let q(h) = g*x(h) - 3*p(h). Factor q(y).
-y*(y + 2)
Let p = -37 + 41. What is u in -1/5*u**2 + 0*u - 2/5*u**3 + 0 - 1/5*u**p = 0?
-1, 0
Factor 2/11*u**3 - 54/11 - 18/11*u**2 + 54/11*u.
2*(u - 3)**3/11
Let t be (220/30 - 7)*(1 + 3). Solve -t - 10/3*g**2 - 14/3*g = 0 for g.
-1, -2/5
Let w(z) be the first derivative of z**7/420 + z**6/180 + 2*z**3 - 3. Let f(r) be the third derivative of w(r). Factor f(a).
2*a**2*(a + 1)
Suppose -26*v + 28 = -12*v. Find y, given that -2/7*y**3 + 2/7 - 2/7*y**v + 2/7*y = 0.
-1, 1
Let q(p) = -2*p**2 + 5*p + 4. Let h = -54 + 52. Let x(r) be the third derivative of r**5/30 - r**4/4 - 5*r**3/6 - r**2. Let t(j) = h*x(j) - 3*q(j). Factor t(y).
(y - 2)*(2*y + 1)
Solve 0*v**2 - 4 + 8*v + 4*v**2 - 11 + 3 = 0.
-3, 1
Let i(u) = -2*u - 4. Let b be (6/(-15))/(1/15). Let o be i(b). Find f such that 0 + f**2 - 8 + o*f - 3*f**2 = 0.
2
Suppose 4*o + 1 = -3, -5*o = -4*c - 23. Let y = c - -9. Factor -4*z**3 - y*z**3 + 5*z**3 + 2*z**2 - z.
-z*(z - 1)**2
Let x(n) be the second derivative of -7*n**5/90 - 19*n**4/54 - 8*n**3/27 + 4*n**2/9 - 19*n. Factor x(f).
-2*(f + 1)*(f + 2)*(7*f - 2)/9
Let t(l) be the first derivative of -1/2*l**2 + 1/60*l**5 + 2 + 1/6*l**3 + 1/12*l**4 + 0*l. Let n(q) be the second derivative of t(q). Factor n(w).
(w + 1)**2
Let g(o) = -o**4 - 37*o**3 - 95*o**2 - 83*o - 19. Let r(a) = 18*a**3 + 48*a**2 + 42*a + 9. Let t(f) = -3*g(f) - 5*r(f). Determine y, given that t(y) = 0.
-4, -1
Let p(v) be the first derivative of -1/4*v**2 - v + 1/6*v**3 + 2. Factor p(d).
(d - 2)*(d + 1)/2
Let l be ((-20)/150)/((-21)/35). Factor -4/9*u**2 + 0 + l*u**5 - 2/9*u + 4/9*u**4 + 0*u**3.
2*u*(u - 1)*(u + 1)**3/9
Let k be ((-1)/(-3))/(3/90). Let t be (-5)/k - 22/(-28). Factor 0 - t*a**3 + 0*a + 2/7*a**2.
-2*a**2*(a - 1)/7
Let l(j) = 4*j**2 + 6*j + 2. Let v(z) = -5*z**2 - 6*z - 3. Let n(k) = -7*l(k) - 6*v(k). Factor n(r).
2*(r - 2)*(r - 1)
Let q(p) be the second derivative of p**4/24 - p**3/12 - 6*p. Factor q(f).
f*(f - 1)/2
Let o(g) be the first derivative of -3*g**5/5 + 3*g**4/2 + 3*g**3 - 12*g**2 + 12*g + 6. Factor o(c).
-3*(c - 2)*(c - 1)**2*(c + 2)
Let z(w) be the second derivative of -1/4*w**2 + 5/24*w**3 + 1/80*w**5 + 10*w + 0 - 1/12*w**4. Factor z(b).
(b - 2)*(b - 1)**2/4
Let w(a) be the third derivative of a**7