+ 0*g**2 - 1/9*g**3 - 2*g - 2. Let l(o) be the first derivative of j(o). Suppose l(q) = 0. Calculate q.
0, 2
Let x(t) be the first derivative of -2*t**3/27 - 4*t**2/9 + 1. Suppose x(f) = 0. Calculate f.
-4, 0
Let o = -37 + 409/11. Factor -4/11*i + 0 + o*i**2 + 2/11*i**3.
2*i*(i - 1)*(i + 2)/11
Let b = 8 - 4. Suppose 12 = -g + b*g. Determine u, given that 0*u + 0 - 4/3*u**3 + 2/3*u**g + 2/3*u**2 = 0.
0, 1
Let s = 129/20 + -31/5. Factor -1/4 + 0*w + s*w**2.
(w - 1)*(w + 1)/4
Let x(c) be the second derivative of -3*c**6/70 + c**5/70 + 3*c**4/28 - c**3/21 + 3*c + 2. Find j such that x(j) = 0.
-1, 0, 2/9, 1
Let v(q) be the first derivative of -q**3 + 0*q**2 - 1/180*q**5 + 0*q**4 + 1/540*q**6 + 0*q + 3. Let l(f) be the third derivative of v(f). Factor l(d).
2*d*(d - 1)/3
Let u(q) = -6*q**3 + 7*q**2 - 13*q + 13. Let m(k) = -3*k**3 + 3*k**2 - 6*k + 6. Let x(y) = 13*m(y) - 6*u(y). Suppose x(j) = 0. What is j?
-1, 0
Let m(j) be the first derivative of j**4/60 - j**2/10 + 2*j + 2. Let a(v) be the first derivative of m(v). What is f in a(f) = 0?
-1, 1
Let n be ((-3)/30)/((-5)/40). Let f be (-132)/(-90) + (-2)/3. Let -1/5 - 6/5*k**2 + n*k + f*k**3 - 1/5*k**4 = 0. What is k?
1
Let z(w) be the second derivative of 0 + 1/12*w**3 - 1/4*w**2 - 3*w - 1/40*w**5 + 1/24*w**4. Factor z(k).
-(k - 1)**2*(k + 1)/2
Suppose 63*w - 3*w**3 - 63*w + 3*w**4 = 0. What is w?
0, 1
Factor -o + o**4 - 1/3 + 1/3*o**5 + 2/3*o**3 - 2/3*o**2.
(o - 1)*(o + 1)**4/3
Let x(s) be the second derivative of -s**6/30 - s**5/5 + s**4/4 + 7*s**3/3 + 4*s**2 + 10*s + 3. Factor x(a).
-(a - 2)*(a + 1)**2*(a + 4)
Suppose 2*k = 2*k - 2*k. Let -o - 1/2*o**2 + k = 0. Calculate o.
-2, 0
Let g(h) be the third derivative of -h**6/1440 + h**5/160 + 3*h**3/2 - h**2. Let x(f) be the first derivative of g(f). Factor x(b).
-b*(b - 3)/4
Suppose -6 = -2*u - 0. Let g(f) be the first derivative of -1/3*f**u + 2*f**2 - 4*f - 2. Determine l, given that g(l) = 0.
2
Let o(b) = -b - 9. Suppose -5*w = 45 - 0. Let d be o(w). Factor d + 7/2*q**3 + 0*q - q**2.
q**2*(7*q - 2)/2
Let f(q) be the third derivative of -5*q**9/3024 + q**8/560 + q**7/420 + 5*q**3/6 - 4*q**2. Let j(i) be the first derivative of f(i). Factor j(c).
-c**3*(c - 1)*(5*c + 2)
Suppose -5*m = -6 - 24. Suppose -4 - m = -5*c. What is s in 2*s**c + 4*s**3 - 2*s**5 - 2*s**2 - 2*s = 0?
-1, 0, 1
Let o be (-4)/10*10/(-12). Let z(k) = -k**3 - k**2 + 4*k - 6. Let c be z(-3). Let 0 + 0*a + 1/3*a**3 + o*a**4 + c*a**2 = 0. What is a?
-1, 0
Let p(w) be the first derivative of -2/7*w**2 + 2/21*w**3 - 6/7*w - 8. Factor p(k).
2*(k - 3)*(k + 1)/7
Let h(x) be the second derivative of x**6/30 + x**5/5 - x**4/6 - 2*x**3 + 9*x**2/2 + 12*x. Factor h(k).
(k - 1)**2*(k + 3)**2
Let w be -1 - (-6)/(-9)*-6. Solve 1/4*p + p**2 - p**4 + 0 - 1/4*p**w = 0.
-1, -1/4, 0, 1
Let o(u) = 8*u**3 + 2*u**2 - 8*u - 2. Let b = -16 - -10. Let c(j) = 15*j**3 + 4*j**2 - 15*j - 4. Let k(m) = b*c(m) + 11*o(m). Suppose k(s) = 0. Calculate s.
-1, 1
Let k(u) = -7*u**3 - 5*u**2 - 5. Let m(b) = 22*b**3 + 16*b**2 + 16. Let i(d) = -16*k(d) - 5*m(d). Factor i(o).
2*o**3
Let u(s) = s. Let z be u(2). Suppose 3*a**2 - 2*a**4 + z*a - a**2 + 6*a**3 - 8*a**2 = 0. Calculate a.
0, 1
Let a(q) be the second derivative of -q**7/42 + q**6/40 + q**5/5 + q**4/6 - 3*q**2/2 + 7*q. Let n(f) be the first derivative of a(f). Factor n(b).
-b*(b - 2)*(b + 1)*(5*b + 2)
Let x(g) = -2*g + 22. Let o be x(10). Suppose -u - o*u = 0. Factor 0 + u*c**2 + 0*c**3 + 0*c - 2/7*c**4.
-2*c**4/7
Let g(p) be the first derivative of -2/5*p**5 + 0*p + 0*p**3 + 6 + 1/3*p**4 + 0*p**2 + 1/9*p**6. Suppose g(a) = 0. What is a?
0, 1, 2
Let b = -16 - -8. Let c = b - -13. Let -4*v**3 - 2*v**3 + 0*v**2 - v**2 + c*v**3 = 0. Calculate v.
-1, 0
Find c, given that -12/5*c + 12/5*c**3 - 8/5*c**4 + 4/5*c**2 + 4/5 = 0.
-1, 1/2, 1
Let h(w) be the third derivative of w**2 + 0 - 1/8*w**3 + 3/32*w**4 - 3/80*w**5 + 0*w + 1/160*w**6. Factor h(l).
3*(l - 1)**3/4
Let y(t) be the second derivative of 0 - 17/18*t**4 - 2*t + 2/3*t**2 - 1/9*t**3 - 7/15*t**5. Solve y(d) = 0 for d.
-1, -1/2, 2/7
Suppose -5 = -3*l + 7. Suppose -l*t + 0*t = 0. Suppose 2/3*m**2 + t - 2/3*m - 2/3*m**4 + 2/3*m**3 = 0. What is m?
-1, 0, 1
Let r(s) be the second derivative of s**6/300 - 7*s**5/200 + s**4/8 - 3*s**3/20 + 15*s. Factor r(f).
f*(f - 3)**2*(f - 1)/10
Let p(u) be the third derivative of -1/8*u**4 + 0*u**3 + 7*u**2 + 0 + 0*u - 3/40*u**5. Factor p(j).
-3*j*(3*j + 2)/2
Suppose t + 3 - 1 = g, 3*g + 2*t - 11 = 0. Factor -2 - 2*o + o**g - 3 - o + 7.
(o - 1)**2*(o + 2)
Let x(d) be the second derivative of -d**4/36 - d**3/3 - 5*d**2/6 - 12*d - 1. Suppose x(r) = 0. Calculate r.
-5, -1
Let m be -4*(-3)/1680*1. Let h(p) be the third derivative of 0 + 0*p**3 + 2*p**2 - m*p**7 + 0*p + 3/80*p**6 + 1/16*p**4 - 3/40*p**5. What is l in h(l) = 0?
0, 1
Let w(v) = v**2 - v - 1. Let d(f) = -f**3 - 5*f**2 + 6*f + 5. Let j(b) = -d(b) - 5*w(b). Factor j(o).
o*(o - 1)*(o + 1)
Let a(i) = i**2 - 6*i - 4. Suppose 0 = t - 2, 6 = 2*q - 3*t - 4. Let h be a(q). Solve 3*f + 12*f**2 - 3*f**3 - h*f**2 = 0.
-1, 0, 1
Let r(d) be the second derivative of -d**7/84 - d**6/60 + d**5/30 + d**3/2 + 4*d. Let g(n) be the second derivative of r(n). Factor g(s).
-2*s*(s + 1)*(5*s - 2)
Let d be (27/4)/3 - 2. Suppose -c = -6*c + 15. Factor -1/4*j**2 + d*j**c + 0 + 0*j.
j**2*(j - 1)/4
Let x(d) be the third derivative of -d**7/70 - d**6/8 - 2*d**5/5 - d**4/2 + 2*d**2 + 20. Factor x(s).
-3*s*(s + 1)*(s + 2)**2
Let x(p) be the second derivative of p**6/75 + p**5/25 - p**4/30 - 2*p**3/15 - p + 27. Factor x(c).
2*c*(c - 1)*(c + 1)*(c + 2)/5
Let d(r) = 8*r**4 + 5*r**3 - 2*r**2 - 5*r. Let v(a) = -a**5 + 7*a**4 + 5*a**3 - 3*a**2 - 4*a. Let w(h) = -4*d(h) + 6*v(h). Let w(z) = 0. What is z?
-1, -1/3, 0, 1, 2
Let w(a) = a**3 + 8*a**2 - 2*a - 14. Let f be w(-8). Factor 0 + 1/2*z**3 + 0*z**f - 1/2*z.
z*(z - 1)*(z + 1)/2
Let r(o) = 7*o**2 - 16*o + 4. Let k(i) = 2*i + 14*i**2 - 8*i + 8 - 26*i. Let w(j) = 4*k(j) - 7*r(j). Factor w(z).
(z - 2)*(7*z - 2)
Let l(b) = 3*b**3 + 2*b**2 - 1. Let a be l(1). Suppose m - 5*v = 15, -4*m + m + 3*v + 21 = 0. Factor 2/7*r**a - 2/7*r**2 + 2/7*r**m + 0*r + 0 - 2/7*r**3.
2*r**2*(r - 1)*(r + 1)**2/7
Let h = 46/129 - 1/43. Let u = -2 - -4. Factor -4/3*a + a**u + h.
(a - 1)*(3*a - 1)/3
Suppose 2*m - 13 + 3 = -5*a, -a + m + 9 = 0. Suppose -2*d + 1 = k, -a*k + 3*d + 6 + 9 = 0. Suppose -2/5*r**2 - 2/5*r**k + 2/5*r + 2/5 = 0. Calculate r.
-1, 1
Let c(d) be the second derivative of d**7/63 + 2*d**6/45 + d**5/30 + d. Solve c(m) = 0.
-1, 0
Find z such that -8/5 - 2/5*z**2 + 8/5*z = 0.
2
Let k be (9/36)/(((-6)/2)/(-18)). Find d, given that 3 - 3*d**2 + 3/2*d**3 - k*d = 0.
-1, 1, 2
Let i(a) be the third derivative of 1/30*a**5 + 1/12*a**4 + 0 + 0*a**3 + 0*a + 4*a**2. Factor i(f).
2*f*(f + 1)
Let p(n) be the second derivative of 0 - 4/9*n**4 - 4/9*n**3 - 1/45*n**6 - 7*n + 0*n**2 - 1/6*n**5. Factor p(s).
-2*s*(s + 1)*(s + 2)**2/3
Let l(v) be the third derivative of -v**7/140 + v**5/20 - v**3/4 + 14*v**2. What is r in l(r) = 0?
-1, 1
Let r(z) be the first derivative of -z**6/180 - z**5/30 - z**4/12 - z**3/9 + 2*z**2 - 2. Let m(n) be the second derivative of r(n). Factor m(i).
-2*(i + 1)**3/3
Factor 2/7*f - 2/7*f**3 + 12/7 - 12/7*f**2.
-2*(f - 1)*(f + 1)*(f + 6)/7
Let h(j) = -25*j**4 + 55*j**3 - 60*j**2 + 35*j - 10. Let b(p) = -p**4 - p**3 + p**2 + p - 1. Let r(x) = -5*b(x) + h(x). Determine l, given that r(l) = 0.
1/2, 1
Let m(w) be the third derivative of 5*w**8/504 + 11*w**7/630 - 11*w**6/360 - 13*w**5/180 + w**4/72 + w**3/9 - 3*w**2. Find g, given that m(g) = 0.
-1, -1/2, 2/5, 1
Let b(f) be the first derivative of -f**5/10 + 5*f**4/8 + f**3 + 34. Find r, given that b(r) = 0.
-1, 0, 6
Let z(y) be the first derivative of 3*y**5/5 + 3*y**4/4 - 4*y**3 - 6*y**2 + 21. Factor z(w).
3*w*(w - 2)*(w + 1)*(w + 2)
Suppose i = 2*i - 2. Let n(p) be the first derivative of -2 - 1/5*p**i + 2/15*p**3 + 0*p - 2/25*p**5 + 1/10*p**4. Factor n(x).
-2*x*(x - 1)**2*(x + 1)/5
Let v(o) be the second derivative of o**6/60 - o**5/15 - o**4/12 + 2*o**3/3 - 3*o**2/2 - 3*o. Let j(c) be the first derivative of v(c). Factor j(n).
2*(n - 2)*(n - 1)*(n + 1)
Let r(n) be the first derivative of 2 + 1/30*n**5 + 0*n - 1/3*n**3 - n**2 + 0*n**4. Let z(t) be the second 