e of -t**3/18 + t**2/4 - t/3 + 19. Factor c(j).
-(j - 2)*(j - 1)/6
Let b be 4/6 - 7/(-3). Factor 0*u**2 + u**b - u**2 + 0*u**2.
u**2*(u - 1)
Let c be -2*5*238/3465. Let n = 10/11 + c. Determine y, given that 0 + n*y**2 + 0*y = 0.
0
Let c(n) be the second derivative of 1/36*n**4 - n + 0*n**2 + 0 - 1/126*n**7 - 1/20*n**5 + 0*n**3 + 1/30*n**6. Factor c(l).
-l**2*(l - 1)**3/3
Suppose -4*p - 8 = -5*j + 11, 5*p = -5*j + 10. Factor -u**2 + 0*u**4 + 0*u**2 - 3*u**3 - u**4 + u**j.
-u**2*(u + 1)**2
Factor 43*o + 54 - o**3 + 18*o**2 + 3*o**3 + 11*o.
2*(o + 3)**3
Let w(d) = -d - 8. Let t be w(-11). Solve 1/4*v**4 + 5/4*v**2 - 1/2*v + 0 - v**t = 0.
0, 1, 2
Let n = -173101/5757 - -1753/57. Let m = -2/101 + n. Factor 2/3*r**3 - m*r - 2/3 + 2/3*r**2.
2*(r - 1)*(r + 1)**2/3
Let n(r) be the third derivative of -r**2 - 1/105*r**7 + 0*r**3 + 1/12*r**4 + 0*r - 1/60*r**6 + 1/30*r**5 + 0. Suppose n(j) = 0. What is j?
-1, 0, 1
Let w = -128 - -132. Let m(z) be the third derivative of -1/20*z**5 + 0*z + 0 - 1/420*z**7 - 1/12*z**w - 1/12*z**3 + 4*z**2 - 1/60*z**6. Factor m(n).
-(n + 1)**4/2
Let n(j) be the second derivative of 0*j**3 + 0*j**4 + 0*j**2 + 0*j**5 - 1/84*j**7 + 0*j**6 + 0 + 8*j. Factor n(h).
-h**5/2
Let p(f) be the second derivative of 0 - 1/6*f**4 + 1/30*f**5 + 2/9*f**3 + 0*f**2 - 3*f. Factor p(h).
2*h*(h - 2)*(h - 1)/3
Find u, given that 2/7*u**2 + 32/7 + 16/7*u = 0.
-4
Factor 0*k + 2/5*k**2 + 2/5*k**5 - 2/5*k**3 + 0 - 2/5*k**4.
2*k**2*(k - 1)**2*(k + 1)/5
Let h(t) = -2*t**2 + 11*t - 7. Let l be h(9). Let i be l*(-1)/22 - 3. Suppose 2/11*k - i*k**3 - 2/11*k**2 + 2/11*k**4 + 0 = 0. Calculate k.
-1, 0, 1
Find f such that -2/5*f**5 + 0 - f**4 - 1/5*f**2 + 0*f - 4/5*f**3 = 0.
-1, -1/2, 0
Let z(q) = q**4 + 10*q**3 + 12*q**2 + 4*q + 7. Let t(i) = i**3 + i**2 + 1. Let g(x) = 6*t(x) - z(x). Let g(h) = 0. Calculate h.
-1
Let l(i) = -i**3 + i**2 + 1. Let m(t) = -3 + 5 + 3*t + t + 4*t**3 + 16*t**2. Let x(k) = 2*l(k) - m(k). Factor x(c).
-2*c*(c + 2)*(3*c + 1)
Let o(q) be the third derivative of q**8/2016 - q**7/315 + q**6/144 - q**5/180 + 10*q**2. Factor o(t).
t**2*(t - 2)*(t - 1)**2/6
Let o(g) = 2*g**2 + 12*g - 9. Let v be o(-6). Let n = 11 + v. Determine m so that 0*m - m**3 + 3/2*m**n - 1/2 = 0.
-1/2, 1
Let t(m) be the third derivative of m**6/540 - 2*m**5/135 + m**4/36 + 24*m**2 - m. Factor t(k).
2*k*(k - 3)*(k - 1)/9
Let f(k) be the first derivative of -2*k**6/3 - 4*k**5/5 + k**4 + 4*k**3/3 + 8. Factor f(c).
-4*c**2*(c - 1)*(c + 1)**2
Let z(v) be the second derivative of 0 - v + 18*v**2 + 1/3*v**4 + 4*v**3. Determine r so that z(r) = 0.
-3
Factor -7*k**2 - 122*k + 1296 + 11*k**2 - 22*k.
4*(k - 18)**2
Let g be (-2)/10*-1 - 63/(-135). Factor -g*f + 4/3 - 2/3*f**2.
-2*(f - 1)*(f + 2)/3
Suppose 7*i = 42 - 14. Let g(k) be the third derivative of 1/3*k**3 - 1/30*k**5 + 0*k**i - 3*k**2 + 0*k + 0. Factor g(c).
-2*(c - 1)*(c + 1)
Let g = 1/25 + 44/25. Solve -2/5*r**2 + g*r**3 - 9/5*r + 2/5 = 0 for r.
-1, 2/9, 1
Factor 8*h**3 - 28*h**5 - 50 + 20*h**4 + 50.
-4*h**3*(h - 1)*(7*h + 2)
Let l = -1 - -5. Suppose 5*a - 3*p - 2*p - 25 = 0, -3*a = l*p + 6. What is v in -1/2*v**a + 0 + 0*v + 3/2*v**3 + 1/2*v**5 - 3/2*v**4 = 0?
0, 1
Let d be (2/4*0)/(-1). What is a in d + a**2 - 3 - 8*a + 6*a = 0?
-1, 3
Let a(n) = n**2 + n. Let l(q) = 3*q**2 + 2*q - 2. Let x(d) = -2*a(d) + l(d). Let h be x(-2). Factor h + 3*u - 2*u**2 - 3*u.
-2*(u - 1)*(u + 1)
Let t(n) be the first derivative of -3*n**4/4 + 12*n**3/7 - 9*n**2/14 - 6*n/7 + 5. Factor t(k).
-3*(k - 1)**2*(7*k + 2)/7
Let d(s) be the third derivative of -s**6/40 + 3*s**5/20 - 2*s**3 - 2*s**2. Suppose d(q) = 0. What is q?
-1, 2
Let i(w) be the first derivative of -4*w**3/21 + 16*w/7 + 16. Determine z so that i(z) = 0.
-2, 2
Suppose -3*q**4 + 11/4*q**3 - 7/4*q**5 + 3*q**2 + 0 - q = 0. What is q?
-2, -1, 0, 2/7, 1
Let g(a) be the second derivative of -a**7/210 + a**6/75 - a**4/30 + a**3/30 - 17*a. Let g(i) = 0. What is i?
-1, 0, 1
Suppose 12*h**2 - 12*h**5 - 28*h**4 - 1249*h**3 - 2*h + 1237*h**3 + 10*h = 0. What is h?
-1, 0, 2/3
Let z = 6 + -6. Suppose q = 2 - z. Determine i, given that 0 - 4/7*i + 6/7*i**q = 0.
0, 2/3
Let u = -8 - -13. Let -2*w - 12*w**3 + w**5 - 5*w**u + 5*w**2 + 2*w**5 + 3*w**2 + 8*w**4 = 0. What is w?
0, 1
Suppose 6*g - 4*g = -5*l - 95, 3*g + 111 = 3*l. Let r be 34*(-4)/g - 3. Factor 2/5*w**2 - r + 0*w.
2*(w - 1)*(w + 1)/5
Let k(z) = -9*z**2 + 7*z. Let x(w) = -10*w**2 + 8*w - 1. Let p(h) = -3*k(h) + 2*x(h). Factor p(s).
(s - 1)*(7*s + 2)
Let v(r) be the third derivative of -r**6/270 + r**5/135 + 24*r**2. Factor v(b).
-4*b**2*(b - 1)/9
Let l(f) be the third derivative of f**5/45 + f**4/18 + 28*f**2 + 2*f. Let l(p) = 0. What is p?
-1, 0
Factor -2*b - b - 14*b**3 + 17*b**3.
3*b*(b - 1)*(b + 1)
Let h be (16/(-24))/((-8)/27). Suppose -3/2*p + 1/4*p**2 + h = 0. What is p?
3
Let j(x) = 8*x - 76. Let t be j(10). Solve 0*o + 1/3*o**t - 1/3*o**2 - 1/3*o**5 + 0 + 1/3*o**3 = 0 for o.
-1, 0, 1
Let u be 0/1 + (-3 - -22). Factor 6*t**3 - 19 + 2*t**2 + 6*t**4 + 2*t**5 + u.
2*t**2*(t + 1)**3
Suppose -28*x = -29*x + 7. Let u(c) be the third derivative of 0*c**4 + 0 + 0*c - 1/735*c**x - 1/140*c**6 - 1/105*c**5 + 4*c**2 + 0*c**3. Factor u(v).
-2*v**2*(v + 1)*(v + 2)/7
Let z be 27/(-45) + 66/10. Suppose -z = -3*u + 3. Factor -2/9*q + 4/9*q**2 - 2/9*q**u + 0.
-2*q*(q - 1)**2/9
Let l = -228/7 + 1168/35. Factor -2/5*d**4 + 0*d**3 - 2/5 + l*d**2 + 0*d.
-2*(d - 1)**2*(d + 1)**2/5
Suppose -6*d**4 + 40/7*d**3 - 40/7*d + 34/7*d**2 + 8/7 = 0. What is d?
-1, 2/7, 2/3, 1
Let o be (-12)/36 + 29/(-12) + 3. Solve 0 - o*b**3 + 0*b + 0*b**2 - 1/4*b**4 = 0 for b.
-1, 0
Let z(l) = -10*l**2 + 5*l + 15. Let b(f) = f**3 - f**2 - f + 1. Let m(n) = 5*b(n) + z(n). What is a in m(a) = 0?
-1, 2
Suppose 31*a - 18*a = 0. Solve 0 - 2/3*r**3 + a*r + 0*r**2 = 0.
0
Factor -2/7*s**5 - 2/7*s**2 - 16/7*s + 10/7*s**3 - 8/7 + 2/7*s**4.
-2*(s - 2)**2*(s + 1)**3/7
Let n(a) = a**4 + 4*a**3 - a**2 - a - 3. Let l = -3 - -6. Let d(g) = -3*g**3 + g + 2. Let i(b) = l*d(b) + 2*n(b). Solve i(w) = 0.
-1, 0, 1/2, 1
Let i be 258/(-54) - (-4)/(-18). Let m be (-3)/i + (-6)/(-15). Let -3 - 4*g**2 - g**3 + m + 0*g**2 - 2*g - 3*g = 0. Calculate g.
-2, -1
Factor -1/5*a**2 - 8/5*a - 7/5.
-(a + 1)*(a + 7)/5
Let d(x) be the first derivative of x**3/4 - 3*x/4 + 30. Solve d(m) = 0.
-1, 1
Factor 2/13*f**3 + 6/13 - 6/13*f**2 - 2/13*f.
2*(f - 3)*(f - 1)*(f + 1)/13
Let x(y) = y**3 - y + 8*y**2 + 0*y**3 + 10*y. Let z(c) be the second derivative of -c**5/20 + c**3/6 + 4*c. Let v(k) = -x(k) + z(k). Factor v(s).
-2*s*(s + 2)**2
Let v(b) be the first derivative of 0*b - 14/15*b**3 - 1/15*b**6 - 2/5*b**2 - 9/10*b**4 - 2/5*b**5 - 3. Factor v(r).
-2*r*(r + 1)**3*(r + 2)/5
Solve 3260/3*p**2 + 2000/3 - 4600/3*p - 722/3*p**3 + 64/3*p**4 - 2/3*p**5 = 0 for p.
1, 10
Let w(z) be the third derivative of z**8/336 + 4*z**7/105 + z**6/20 - 2*z**5/15 - 7*z**4/24 - 39*z**2. Suppose w(d) = 0. What is d?
-7, -1, 0, 1
Factor 343/9*q**5 + 392/9*q**4 - 8/9 - 134/9*q**2 - 161/9*q**3 + 68/9*q.
(q + 1)**2*(7*q - 2)**3/9
Let l = 16/65 + -851/3510. Let w(c) be the third derivative of -1/54*c**4 + 1/27*c**3 + l*c**5 + 0 + c**2 + 0*c. Suppose w(n) = 0. Calculate n.
1
Let t(o) be the first derivative of 8/3*o + 70/9*o**3 - 26/3*o**2 + 1 + 49/12*o**4. Factor t(b).
(b + 2)*(7*b - 2)**2/3
What is l in 4*l**4 + 4/3*l**2 + 4*l**3 + 0*l + 4/3*l**5 + 0 = 0?
-1, 0
Let v(d) be the first derivative of 4*d**6/3 - 28*d**5/5 + 73*d**4/8 - 43*d**3/6 + 11*d**2/4 - d/2 + 37. Solve v(k) = 0.
1/4, 1
Suppose -7*c + 773 = 752. Factor 2*h**2 - 8/5*h + 2/5 - 4/5*h**c.
-2*(h - 1)**2*(2*h - 1)/5
Let c(x) be the third derivative of -x**2 + 0 + 0*x + 0*x**4 - 1/6*x**3 + 1/60*x**5. Factor c(v).
(v - 1)*(v + 1)
Let d(n) be the third derivative of n**7/1575 - n**5/450 + 11*n**2. Factor d(o).
2*o**2*(o - 1)*(o + 1)/15
Let j(l) be the second derivative of l**6/180 - l**4/12 + 2*l**3/3 + 2*l. Let c(o) be the second derivative of j(o). Let c(i) = 0. What is i?
-1, 1
Let o be (0 + 9)*6/(-9). Let b be (-13)/(-6) - o/(-4). Find l, given that -b*l**2 + 2/3 + 0*l = 0.
-1, 1
Let b(s) be the first derivative of s**6/3 + 16*s**5/5 + 25*s**4/2 + 76*s**3/3 + 28*s**2 + 16*s - 1. Factor b(m).
2*(m + 1)**2*(m + 2)**3
Let r(t) be the third derivative of 1/525*t**7 + 0 - 1/15*t