/3*j**2 + d*j + 0.
j**2*(j - 1)/3
Let l(d) be the first derivative of d**6/6 + 9*d**5/25 - d**4/10 - 2*d**3/3 - 3*d**2/10 + d/5 + 10. Let l(a) = 0. Calculate a.
-1, 1/5, 1
Let c = -1 + 0. Let y be 6*(15/9 + c). Factor 3*g**3 + 5*g**4 - 3*g - 3*g**2 - 2 - y*g + 4*g**3.
(g - 1)*(g + 1)**2*(5*g + 2)
Let b(u) = -36*u**4 + 11*u**3 + 61*u**2 - 11*u - 36. Let a(y) = 7*y**4 - 2*y**3 - 12*y**2 + 2*y + 7. Let q(s) = 11*a(s) + 2*b(s). Suppose q(k) = 0. Calculate k.
-1, 1
Let k be 0/2*(-4)/(-12). Let g(h) be the first derivative of -1/2*h**2 + 1/2*h**4 + 4 + 3/10*h**5 + k*h - 1/6*h**3. Factor g(v).
v*(v + 1)**2*(3*v - 2)/2
Let u be -1 + (-2 - (20/(-3) + 3)). Let t(o) be the first derivative of 0*o + 0*o**2 - u*o**3 + 3. Factor t(g).
-2*g**2
Let c(n) = 6*n**4 - n**3 - 6*n**2 + 6*n. Suppose -3*v + 7 = -14. Let o = v - 6. Let s(z) = -z**4 + z**2 - z. Let i(y) = o*c(y) + 5*s(y). Factor i(h).
h*(h - 1)**2*(h + 1)
Let l(r) be the second derivative of -r**7/140 + r**6/60 - r**5/120 + 3*r**2 + 3*r. Let a(w) be the first derivative of l(w). Suppose a(b) = 0. What is b?
0, 1/3, 1
Let z(q) be the third derivative of -q**7/420 - q**6/240 + q**5/60 + 7*q**2. Find j, given that z(j) = 0.
-2, 0, 1
Let h = 11 + -7. Suppose 5*l = h*l. Determine v, given that 0*v**2 + 2/5*v**3 + 0*v - 2/5*v**4 + l = 0.
0, 1
Let f be 20/5 + -7 + 3. Let 3/5*y**2 - 4/5 + f*y - 1/5*y**3 = 0. Calculate y.
-1, 2
Let d = 52 + -49. Let y(m) be the second derivative of 2*m + 0 + 1/210*m**7 + 1/30*m**d - 1/50*m**5 + 0*m**2 + 0*m**4 + 0*m**6. Factor y(r).
r*(r - 1)**2*(r + 1)**2/5
Let d(g) be the first derivative of g**5/40 - g**3/24 + 5. What is o in d(o) = 0?
-1, 0, 1
Let h be ((-14)/42)/(2/(-12) - 0). Let o(v) be the second derivative of 2*v**h + 11/3*v**3 + 3*v**4 + 9/10*v**5 - 3*v + 0. Solve o(z) = 0.
-1, -2/3, -1/3
Factor -44*q**2 - 27*q**3 - 4*q**3 + 10*q**3 - 15*q**3 - 8*q.
-4*q*(q + 1)*(9*q + 2)
Let p be (8 + -9)*2/(-6). Factor -1/3*f**2 + 1/3*f**4 - 1/3*f**3 + 0*f + 0 + p*f**5.
f**2*(f - 1)*(f + 1)**2/3
Factor -26 + 30 - 10*r - 2*r**3 - 3*r**2 + 11*r**2.
-2*(r - 2)*(r - 1)**2
Factor 3/8*k**5 + 0 + 0*k + 9/8*k**2 + 21/8*k**3 + 15/8*k**4.
3*k**2*(k + 1)**2*(k + 3)/8
Let g be -1*((-12)/54 + 2/9). Let w = 146/3 + -48. Factor g + 1/3*p**2 - w*p.
p*(p - 2)/3
Let l(o) be the second derivative of -o**2 + 0*o**4 - 3*o + 0 + 1/20*o**5 - 1/2*o**3. Factor l(z).
(z - 2)*(z + 1)**2
Suppose 0 = k - 3*k. Let t be 8/(-12)*1/(-2). Determine g so that -2/3*g**3 + t*g**2 + 0*g + 1/3*g**4 + k = 0.
0, 1
Let x(h) be the second derivative of 0 - 1/5*h**5 - 2/63*h**7 + 0*h**2 + 0*h**3 - 1/9*h**4 - 9*h - 2/15*h**6. Factor x(f).
-4*f**2*(f + 1)**3/3
Let n = 2376/2327 - 686180/1975623. Let p = -2/283 + n. Factor -1/3*i**2 - p*i + 0.
-i*(i + 2)/3
Let w be ((-20)/(-55))/(72/132). What is a in 1/3*a - a**2 + w = 0?
-2/3, 1
Let q(d) be the third derivative of d**5/60 + d**4/24 - d**3/3 + 5*d**2. Let q(s) = 0. Calculate s.
-2, 1
Let g = 2 - -3. Let o(p) be the second derivative of 1/90*p**6 + 1/36*p**4 + 1/30*p**g + 0*p**2 + 0*p**3 + p + 0. Suppose o(h) = 0. Calculate h.
-1, 0
Let j(a) be the second derivative of a**4/24 - a**3/4 + a**2/2 + 5*a. Determine b so that j(b) = 0.
1, 2
Let s(i) be the third derivative of -i**7/210 - i**6/120 + i**5/30 + 8*i**2. Factor s(r).
-r**2*(r - 1)*(r + 2)
Let g(l) be the third derivative of l**7/5040 - l**6/1440 + l**4/8 - 3*l**2. Let h(t) be the second derivative of g(t). Determine n, given that h(n) = 0.
0, 1
Let d(x) be the third derivative of 3*x**7/175 - x**6/100 - 4*x**5/75 + x**4/15 + 2*x**2. Solve d(g) = 0.
-1, 0, 2/3
Let w(j) be the first derivative of j**7/2100 - j**5/100 - j**4/30 - 2*j**3 + 9. Let z(u) be the third derivative of w(u). Factor z(a).
2*(a - 2)*(a + 1)**2/5
Suppose 3*m + 11 = -5*w, m - 2*w + 4*w + 5 = 0. Factor 6*d**m - 8 + 6*d**2 - 4*d**3 + 2*d**3 - 2*d**3.
2*(d - 1)*(d + 2)**2
Let o be ((-68)/(-20) - 2) + 9/15. Let 2/9 - 2/9*f**3 + 2/3*f**o - 2/3*f = 0. What is f?
1
Let o(d) be the third derivative of d**7/630 + d**6/120 + d**5/60 + d**4/72 - 5*d**2. Factor o(p).
p*(p + 1)**3/3
Let p(k) be the first derivative of 18/7*k + 6/7*k**2 + 2/21*k**3 - 3. Factor p(a).
2*(a + 3)**2/7
Let z(a) be the third derivative of -2*a**6/15 - a**5/15 - 2*a**2. Factor z(h).
-4*h**2*(4*h + 1)
Let j(c) be the first derivative of c**6/1440 + c**5/160 + c**4/48 - c**3/3 + 3. Let a(i) be the third derivative of j(i). Factor a(u).
(u + 1)*(u + 2)/4
Let j(f) = -2*f. Let t be j(-8). Let d be t/(-9)*(-135)/36. Factor 10/3*x**4 - 20/3*x**3 + 2/3 + d*x**2 - 2/3*x**5 - 10/3*x.
-2*(x - 1)**5/3
Let b be (-21 + 21)/(0 - -2). Let v(p) be the second derivative of b*p**5 + 0*p**4 - p + 0 - 1/105*p**6 + 0*p**2 + 0*p**3 - 1/147*p**7. Factor v(w).
-2*w**4*(w + 1)/7
Factor 0 + 6/5*u - 3/5*u**2.
-3*u*(u - 2)/5
Suppose -14*h = -15*h + 2. Let w(z) be the first derivative of -h*z + z**2 - 1/2*z**4 - 3 + 2/3*z**3. Factor w(r).
-2*(r - 1)**2*(r + 1)
Let n = 101 + -99. Let v(x) = 4*x**3 + x**2 - 2*x + 1. Let l be v(1). What is h in 2/9*h**5 + 0*h**n + 0*h**l + 0 + 2/9*h - 4/9*h**3 = 0?
-1, 0, 1
Let d(c) be the third derivative of c**7/735 - c**6/84 + 3*c**5/70 - c**4/12 + 2*c**3/21 + 3*c**2. Factor d(s).
2*(s - 2)*(s - 1)**3/7
Let y be 56/21 + (-3)/(-9). Let h(x) be the first derivative of 2/9*x**y + 0*x + 1 - 1/6*x**2 - 1/12*x**4. Find q, given that h(q) = 0.
0, 1
Suppose -3*o + 3*p - 5 = 2*o, p = -4*o - 21. Let t be (-35)/(-15) + o/(-6). What is q in -2/3 - 2/3*q**4 - 4/3*q**t + 2/3*q**5 + 2/3*q + 4/3*q**2 = 0?
-1, 1
Suppose -9/5*g - 3/5 - 3/5*g**3 - 9/5*g**2 = 0. What is g?
-1
Let b = 3 + -4. Let y(n) = n**4 + n**3 + n + 1. Let o(h) = -8*h**4 - 20*h**3 + 9*h**2 + 19*h - 2. Let a(z) = b*o(z) + 4*y(z). Suppose a(s) = 0. What is s?
-2, -1, 1/2
Let a be -2 - (-4 - -3) - -2. Let r(v) be the first derivative of 1/12*v**4 - 1/15*v**5 + 0*v + 0*v**3 - a + 0*v**2. Solve r(m) = 0.
0, 1
Let l(q) be the third derivative of -1/30*q**5 + 0 + 0*q**3 - 1/24*q**4 - 4*q**2 - 1/120*q**6 + 0*q. Factor l(n).
-n*(n + 1)**2
Let z be (-1 + -3)/((-2)/(-4)). Let g(m) = -2*m - 11. Let w be g(z). Factor -2*c + 8*c**2 - 12*c**3 - 4*c**5 + 8*c**4 + 2*c**w + 0*c.
-2*c*(c - 1)**4
Let c(q) = q**3 + q**2 - q - 1. Let w(v) = -9*v**3 - 21*v**2 - 12*v. Let j(t) = -4*c(t) - w(t). Factor j(p).
(p + 1)*(p + 2)*(5*p + 2)
Let a(j) be the third derivative of -j**7/252 + j**6/360 + j**5/72 - j**4/72 - 6*j**2. Factor a(i).
-i*(i - 1)*(i + 1)*(5*i - 2)/6
Factor -1/3*h**2 + 2/3*h + 0.
-h*(h - 2)/3
Let c be (-6)/(-27) - (-4 - -4). Solve -4/9*g**2 + 2/9*g**4 + c + 0*g**3 + 0*g = 0 for g.
-1, 1
Let u be (-6)/(3 - 7 - -2). Factor 0*z**2 - 5*z + 2 + z**2 - u*z**2 - 5*z**2.
-(z + 1)*(7*z - 2)
Suppose -p**4 - 1 + 2*p**2 - 17*p + 17*p = 0. Calculate p.
-1, 1
Let t(x) be the first derivative of -2 - 1/840*x**7 + 0*x**6 + 0*x**5 + 0*x + 0*x**2 + 0*x**4 - 1/3*x**3. Let f(v) be the third derivative of t(v). Factor f(k).
-k**3
Suppose 0 = -j - 3*j + 32. Let o = -2 + j. Solve 8/3*x**2 - o*x + 4/3 = 0 for x.
1/4, 2
Let h(l) be the first derivative of -2/9*l**3 + 1/3*l**2 + 4/3*l + 3. Factor h(s).
-2*(s - 2)*(s + 1)/3
Suppose -4*y + 18 = -y. Suppose l = y*l. Let 0 - 2/3*f**2 + l*f**3 + 1/3*f + 2/3*f**4 - 1/3*f**5 = 0. Calculate f.
-1, 0, 1
Let m = -29/7 - -30/7. Solve 0*t**3 + 2/7*t**4 - 2/7*t**2 + 1/7*t + 0 - m*t**5 = 0.
-1, 0, 1
Let v(l) be the second derivative of -13*l**5/35 - 8*l**4/7 - 6*l**3/7 + 4*l**2/7 - l. Factor v(o).
-4*(o + 1)**2*(13*o - 2)/7
Find n such that 15/8*n**2 + 0*n + 0 + 3/8*n**3 = 0.
-5, 0
Let m(z) = 2*z**2 + z - 1. Let t be m(-2). Factor 5*h - 5*h + 3*h**2 - 2*h + t*h.
3*h*(h + 1)
Let o(v) be the third derivative of 5*v**7/42 + v**6/4 - 11*v**5/60 - v**4/2 + 2*v**3/3 + 3*v**2. Factor o(g).
(g + 1)**2*(5*g - 2)**2
Suppose -4*i + 8 = -q - 0*q, 23 = 2*q + 5*i. Suppose -5*h = -2*c + 6, 8 = 5*c + 4*h - 7. Factor -2*y**2 - q*y**3 - 10*y**4 + 4*y + 9*y**2 + c*y**2.
-2*y*(y - 1)*(y + 1)*(5*y + 2)
Let x be (-3)/4*69/(-9). Let k = x + -111/20. Determine y, given that -4/5 - k*y**2 + 4/5*y = 0.
2
Let c(u) = u + 5. Suppose 0*s = 4*s. Let p be c(s). Factor -2*l - 2*l**3 + l**2 + 0*l**3 - p*l**2.
-2*l*(l + 1)**2
Suppose d - 3*a = 2*d - 9, -2*d = 5*a - 16. Factor -r**3 + d + r - 6*r + 2*r**2 - 1 + 2*r**2.
-(r - 2)*(r - 1)**2
Let r(m) be the third derivati