 Factor r(j).
-3*(j + 1)**3
Let i(v) = 3*v**3 - 4*v**2 - v + 2. Let h(c) = -6*c**3 + 9*c**2 + 2*c - 5. Let q(g) = 2*h(g) + 5*i(g). Let q(o) = 0. Calculate o.
-1/3, 0, 1
Suppose 0 = -4*k - 4*t + 28, 8*k - 4*t - 26 = 3*k. Suppose -3*l - 2*m = -m - 18, -2*m = k. Factor -s + l*s - 2 - s**2 - 2*s - s.
-(s - 2)*(s - 1)
Let p(m) be the first derivative of m**6/21 - 8*m**5/35 + 3*m**4/7 - 8*m**3/21 + m**2/7 - 10. Let p(j) = 0. What is j?
0, 1
Let a(w) be the second derivative of -w**10/15120 + w**9/3780 - w**7/630 + w**6/360 - w**4/3 + 3*w. Let m(r) be the third derivative of a(r). Factor m(j).
-2*j*(j - 1)**3*(j + 1)
Factor -1/4 + 0*i + 1/4*i**2.
(i - 1)*(i + 1)/4
Let x(l) = -l**2 + 3*l + 4. Let i be x(3). Factor 1/4*s + 1/4*s**2 + 0 - 1/4*s**3 - 1/4*s**i.
-s*(s - 1)*(s + 1)**2/4
Let z(q) be the third derivative of -21/20*q**5 - 6*q**2 + 0 + 2*q**3 - 49/16*q**6 + 0*q + 9/4*q**4. Factor z(c).
-3*(5*c - 2)*(7*c + 2)**2/2
Let y(m) be the third derivative of m**7/5040 - m**6/360 + m**5/60 + 5*m**4/24 + 6*m**2. Let o(x) be the second derivative of y(x). Factor o(f).
(f - 2)**2/2
Factor -40*c**2 + 150*c + 30 + 2*c**3 - 185*c + 23*c**3.
5*(c - 2)*(c + 1)*(5*c - 3)
Let x(r) be the third derivative of 0*r + 1/12*r**4 + 0*r**3 + 3*r**2 + 0 - 7/60*r**5. Suppose x(j) = 0. Calculate j.
0, 2/7
Let u(w) = w**3 - 7*w**2 - 10*w + 4. Let j be u(8). Let g = j - -14. Factor -2/5*i - 4/5 + 2/5*i**g.
2*(i - 2)*(i + 1)/5
Let t(w) be the first derivative of -w**5/10 + w**4/4 - w**2/2 + w/2 - 8. Factor t(g).
-(g - 1)**3*(g + 1)/2
Let b(w) be the first derivative of -7*w**6/24 + w**5/10 + 7*w**4/16 - w**3/6 - 6. Determine p, given that b(p) = 0.
-1, 0, 2/7, 1
Let q = 5 - 2. Suppose -4*z**3 - 9*z**5 + 8*z**4 - z**3 + z**5 + q*z**3 = 0. Calculate z.
0, 1/2
Let p(y) be the first derivative of 8/3*y**3 + 0*y**2 + 14/5*y**5 + 4 + 8*y**4 + 0*y. Solve p(m) = 0 for m.
-2, -2/7, 0
Let s = 1 + 4. Factor 3*o**3 - o**2 + 4*o**3 - s*o**3 + 3*o**2 - 4*o.
2*o*(o - 1)*(o + 2)
Suppose -4*x + 4 = -0. Let f(h) = -4 + 2*h**2 - h - x + 3*h + 2. Let s(n) = -11*n**2 - 11*n + 17. Let y(d) = 34*f(d) + 6*s(d). Solve y(m) = 0 for m.
-1, 0
Suppose t + 4 = -2*c - 0, -5*t - c + 16 = 0. Let x(o) be the third derivative of -t*o**2 + 0*o**4 + 0 + 1/300*o**5 - 1/30*o**3 + 0*o. Factor x(p).
(p - 1)*(p + 1)/5
Let a(b) be the third derivative of b**6/40 + b**5/5 + 5*b**4/8 + b**3 + 2*b**2 + 7*b. Factor a(s).
3*(s + 1)**2*(s + 2)
Let f(z) be the first derivative of 2/3*z - 1/2*z**2 - 2 - 5/9*z**3. Determine d, given that f(d) = 0.
-1, 2/5
Let u(x) be the first derivative of 2*x**5/45 - 2*x**3/9 - 2*x**2/9 - 6. Factor u(j).
2*j*(j - 2)*(j + 1)**2/9
Let q(b) = -b**3 - 22*b**2. Let w be q(-22). Factor w + 4/5*a**3 - 1/5*a + 3/5*a**2.
a*(a + 1)*(4*a - 1)/5
Let b(w) be the third derivative of w**8/84 - 2*w**7/35 - w**6/10 + 7*w**5/15 + w**4 - 14*w**2. Factor b(m).
4*m*(m - 3)*(m - 2)*(m + 1)**2
Suppose 3*g = 3, -b - g - 10 = -14. Suppose 1/3*f**b + 0*f - 1/3*f**4 + 0*f**2 + 0 = 0. What is f?
0, 1
Factor -4/11 + 2/11*s**2 - 2/11*s.
2*(s - 2)*(s + 1)/11
Let b(d) = 3*d**3 + 11*d**2 - 6*d + 8. Let o(r) = r**3 + 4*r**2 - 2*r + 3. Let p(s) = -3*b(s) + 8*o(s). Suppose p(w) = 0. Calculate w.
-2, 0, 1
What is i in 4*i + 10*i - 9*i**3 - 8*i + 6*i**5 - 3*i**4 + 3*i**2 - 3*i**5 = 0?
-1, 0, 1, 2
Let j(p) be the first derivative of -3*p**4/26 + 10*p**3/39 - 2*p**2/13 - 31. Factor j(g).
-2*g*(g - 1)*(3*g - 2)/13
Let x(l) be the first derivative of -4/3*l**3 + 0*l - 1/2*l**4 - 6 + 4/5*l**5 + 0*l**2 + 1/3*l**6. Factor x(y).
2*y**2*(y - 1)*(y + 1)*(y + 2)
Let k be ((2 - 3 - -1)/1)/(-2). Let q be (0/(-5))/(2*-1). Find j, given that 2/5*j**2 + k + 2/5*j**5 - 2/5*j**3 - 2/5*j**4 + q*j = 0.
-1, 0, 1
Suppose -c - 3*c = 5*z - 27, -5*c - 3*z + 24 = 0. Suppose 0 = -i + c*i. Factor -8/5*k + 8*k**2 - 10*k**3 + i.
-2*k*(5*k - 2)**2/5
Let y(w) be the first derivative of -3*w**4/28 + w**3/7 + 7. Solve y(n) = 0 for n.
0, 1
Let k = 2832/27565 - -4/745. Let w = 46/259 + k. Factor 0*b + 6/7*b**3 + 0 - w*b**2 + 8/7*b**4.
2*b**2*(b + 1)*(4*b - 1)/7
Let n(o) = -o**3 + 7*o**2 - o + 4. Let b be n(7). Let k be (-4)/b*(-3)/(-2). Factor 1 - 2*r**2 + r**k + 2*r + 2*r**2.
(r + 1)**2
Solve -2*f**4 + 3*f**3 + 9*f**3 - 8*f**2 - 8*f**4 + 2*f**5 + 4*f**3 = 0.
0, 1, 2
Let f(j) be the second derivative of -j**4/72 - j**3/36 + 12*j. Suppose f(h) = 0. Calculate h.
-1, 0
Let o be (26/(-13))/(2 - 5 - 1). Find w such that -1/2*w - o + 1/2*w**3 + 1/2*w**2 = 0.
-1, 1
Suppose 17 = 5*o - 18. Suppose 10 = -2*p, v + 2*p + 3 + o = 0. Factor -4/3*s**2 + v - 1/3*s**4 + 0*s - 4/3*s**3.
-s**2*(s + 2)**2/3
Let f(a) be the first derivative of a**4/12 - 2*a**3/3 + 3*a**2/2 - 28. Find d, given that f(d) = 0.
0, 3
Factor 3 + 1/3*m**4 - 8*m + 22/3*m**2 - 8/3*m**3.
(m - 3)**2*(m - 1)**2/3
Find b such that 1/6*b**3 - 1/3*b**4 - 1/6*b**5 + 0 + 1/3*b**2 + 0*b = 0.
-2, -1, 0, 1
Let g(d) = d**3 - 6*d**2 + 5*d + 3. Let s = 0 - -5. Let f be g(s). Determine c so that 3*c**4 - 7*c**5 + 2*c**f + 9*c**5 - 7*c**4 = 0.
0, 1
Let v(p) = p**3 - 16*p**2 - 18*p + 17. Let y be v(17). Factor -1/4*m + 1/4*m**2 + y.
m*(m - 1)/4
Suppose 5*b + 4 = 3*t, 2*t + 0*b + 2*b = 8. Suppose u + t + u**2 + u**3 + 0*u - 4*u**2 - 2*u**3 = 0. Calculate u.
-3, -1, 1
Let q = -44 - -44. Let v(y) be the first derivative of -2/35*y**5 + q*y + 2/21*y**3 + 0*y**2 - 1/14*y**4 - 1 + 1/21*y**6. Factor v(n).
2*n**2*(n - 1)**2*(n + 1)/7
Let v(q) = q**3 - q**2 + 1. Let n be v(1). Suppose -4*j = -7 - n. Factor -2 - 16*k**j - 2*k**4 + 4*k**2 + 4*k + 8*k**3 + 4*k.
-2*(k - 1)**4
Let t(d) be the second derivative of -3*d + 1/30*d**5 + 0 - 1/9*d**3 + 0*d**2 - 1/18*d**4 + 1/45*d**6. What is p in t(p) = 0?
-1, 0, 1
Let b(y) = 3 - 3 - 5 - 2*y**3 + 3*y**2 + 5*y. Let u(g) = 3*g**3 - 2*g**2 - 4*g + 4. Let q(n) = 4*b(n) + 5*u(n). Factor q(f).
f**2*(7*f + 2)
Let v(q) be the first derivative of -q**3/3 + 3*q**2/2 + 2*q - 4. Let a be v(3). Solve 2*n**2 + 0 + 12*n - 4 - 7*n**a = 0.
2/5, 2
Let r = -1577/5 - -316. Factor r*n**2 - 3/5*n + 0.
3*n*(n - 1)/5
Let b = 49 + -46. Let t(o) be the third derivative of 1/108*o**6 + 0*o**4 + 0*o + 1/135*o**5 + 0*o**3 + 0 - b*o**2. Factor t(a).
2*a**2*(5*a + 2)/9
Suppose -2*g - 2*g = -20. Suppose -10 - 10 = -g*q. Factor 1 + q*o + 17/4*o**2 + 5/4*o**3.
(o + 1)*(o + 2)*(5*o + 2)/4
Let i(y) be the first derivative of 1/2*y**2 + 0*y - 1/130*y**5 - 2 + 1/156*y**4 + 0*y**3. Let j(m) be the second derivative of i(m). Let j(a) = 0. Calculate a.
0, 1/3
Let n(s) be the second derivative of -2*s**7/21 - 4*s**6/15 - s**5/5 - 8*s. Find r such that n(r) = 0.
-1, 0
Let o(v) be the second derivative of -v**4/6 - 2*v**3/3 + 3*v**2 - 2*v. Solve o(m) = 0 for m.
-3, 1
Let j be ((-56)/70)/((-1)/5). Suppose -4*r - r = 5*x - 30, -3*x - 5*r = -24. Factor -1/5*s**j - 1/5*s + 0 - 3/5*s**x - 3/5*s**2.
-s*(s + 1)**3/5
Let g = 19 + -15. What is m in 7*m**3 + 16*m**2 + 32*m + 32*m**2 + g*m**4 + 19*m**3 - 2*m**3 = 0?
-2, 0
Let w be (-106408)/198 + 6/(-27). Let q = w - -538. Factor 0 + 2/11*h**2 + q*h.
2*h*(h + 2)/11
Let f = -23 + 25. Let a be (2 - 2) + 1 + 2. Factor 3*o**a + 1 - 3*o**4 - 9*o + f*o**2 + o**5 + 6*o - o**3 + 0.
(o - 1)**4*(o + 1)
Determine n, given that 51*n + 47*n + 2*n**3 - 102*n + 2*n**2 = 0.
-2, 0, 1
Let g(n) be the third derivative of n**6/60 + n**5/30 - n**4/6 - 20*n**2. Suppose g(t) = 0. Calculate t.
-2, 0, 1
Find v, given that -2/13*v + 0 - 2/13*v**2 = 0.
-1, 0
Suppose -2*i + 4*i - 6 = 0. Factor 2*l - l**4 + 2*l - l - 5*l + i*l**2.
-l*(l - 1)**2*(l + 2)
Let o be (-3)/((-18)/(-10))*12/(-70). Find l such that -o + 8/7*l**3 + 2*l**2 + 4/7*l = 0.
-1, 1/4
Suppose 4*l + 4*o - 16 = 0, 5*o + 2 = -3*l + 18. Factor 2*n + 0*n - n + 2 - n**l + 0.
-(n - 2)*(n + 1)
Suppose -2*c = -3*g + 26, 5*c + 7 = -4*g - 35. Let a = c - -14. Solve 1 - 1 + 6*m**2 - a*m**2 = 0.
0
Let l(a) be the second derivative of a**6/75 + a**5/25 + a**4/30 + 7*a. What is n in l(n) = 0?
-1, 0
Let n(b) be the third derivative of -b**6/180 + b**5/90 + b**4/36 - b**3/9 - 32*b**2. Suppose n(p) = 0. Calculate p.
-1, 1
Suppose -5*m - 3*c + 21 = -m, 3*m = -5*c + 24. Let z(q) be the second derivative of 2*q + 0*q**2 + 1/6*q**4 + 2/3*q**m + 0. Factor z(b).
2*b*(b + 2)
Let o be 7/3*3 - 4. Let n(r) be the first derivative of -1/3*r + 3 - 1/5*r**5 - r**2 - 5/6*r**4 - 4/3*r**o. Facto