36 - 2*m**3/9 - m**2/2 + 3*m. Factor o(y).
-(y + 1)*(y + 3)/3
Suppose y = 2*y - 4. Suppose 0 = -5*x - 2*r + 3*r + 44, 0 = 3*x - 2*r - 25. Factor 10*f**5 + 35*f**y - 9*f**3 + 27*f**3 - 4*f - x*f**4 - 2*f**2.
2*f*(f + 1)**3*(5*f - 2)
Let j(l) be the third derivative of -4*l**7/147 + 41*l**6/420 - l**5/10 - l**4/84 + l**3/21 + 2*l**2. Let j(m) = 0. What is m?
-1/5, 1/4, 1
Suppose -f + 7 = 2. Suppose 0 = -5*t + 2*k + 16, -26 = -4*t - 0*t - f*k. Find u such that 0 - 3/4*u**2 - 1/4*u - 3/4*u**3 - 1/4*u**t = 0.
-1, 0
Let t(q) be the second derivative of q**7/3780 + q**6/540 + q**5/180 - q**4/3 - 4*q. Let k(x) be the third derivative of t(x). Factor k(a).
2*(a + 1)**2/3
Let t(l) = 8*l + 66. Let m be t(-8). Find k, given that -9/2 + 3/2*k**m + 3*k = 0.
-3, 1
Let r(a) be the first derivative of 0*a + 1/39*a**6 - 4/65*a**5 + 4/39*a**3 + 4 + 0*a**4 - 1/13*a**2. Let r(p) = 0. What is p?
-1, 0, 1
Let f be 5/(-20) + (-2)/6*-1. Let j(t) be the first derivative of 0*t + 0*t**3 + 0*t**2 + 1/15*t**5 - 2 + f*t**4. Factor j(v).
v**3*(v + 1)/3
Find w such that -13*w + 7*w**2 + 16 + w**2 - 3*w - 4*w**2 = 0.
2
Factor -8/9*t**4 + 0*t**2 - 8/9*t**3 - 2/9*t**5 + 0*t + 0.
-2*t**3*(t + 2)**2/9
Factor 42*k**3 - 22*k**3 - 3*k**2 - 3*k**4 - 26*k**3.
-3*k**2*(k + 1)**2
Suppose 0*l - 5*l - 3*n + 12 = 0, 2*n = 3*l - 11. Let x(o) be the first derivative of 1/2*o + l + 1/2*o**2 + 1/6*o**3. Solve x(f) = 0 for f.
-1
Let r(x) be the first derivative of 1/12*x**6 + 0*x**2 + 0*x + 1/10*x**5 - 1/8*x**4 - 1 - 1/6*x**3. Solve r(f) = 0 for f.
-1, 0, 1
Let s = -5 - -8. Determine y so that -y - 2*y**3 + 4*y - y**s = 0.
-1, 0, 1
Suppose 18*b - 21*b = 0. Factor b + 0*r**2 + 0*r + 2/5*r**3.
2*r**3/5
Let r(n) be the third derivative of n**8/1120 - n**7/1050 - 5*n**2. Factor r(y).
y**4*(3*y - 2)/10
Let x = 50 - 30. Let r be 12/(-105)*x/(-4). Determine l, given that -2/7 - 2/7*l**2 - r*l = 0.
-1
Let c(g) be the first derivative of g**4/16 - g**3/4 + 3*g**2/8 - g/4 + 5. Find d, given that c(d) = 0.
1
Let q(u) be the second derivative of -1/6*u**2 - 1/36*u**4 - 3*u + 0 - 1/9*u**3. Find f, given that q(f) = 0.
-1
Let b(v) be the first derivative of -v**6/30 + 2*v**5/25 - 2*v**3/15 + v**2/10 + 15. What is t in b(t) = 0?
-1, 0, 1
Let p(d) be the first derivative of 1/6*d**2 - 1/9*d**3 - 4 + 0*d. Let p(n) = 0. What is n?
0, 1
Let g(i) be the first derivative of -5 + 8/45*i**5 + 4/9*i**2 - 8/27*i**3 + 0*i + 1/9*i**6 - 7/18*i**4. Solve g(s) = 0 for s.
-2, -1, 0, 2/3, 1
Let x(s) be the first derivative of s**6/2 - 3*s**5 + 15*s**4/2 - 10*s**3 + 15*s**2/2 - 3*s + 7. Factor x(j).
3*(j - 1)**5
Let b = -5 + 28. Suppose 0 = o - 25 + b. Factor -2/3 + 1/3*m**o + 1/3*m.
(m - 1)*(m + 2)/3
Let w(r) be the third derivative of r**5/60 - r**4/24 + 4*r**2. Factor w(n).
n*(n - 1)
Determine x, given that -2*x**2 + 2*x - 3 + 1 + 2 = 0.
0, 1
Let c be (20/(-75))/(3/(-30)). Suppose -2/3*j**2 + 0*j + c*j**4 + 0 + 2*j**3 = 0. Calculate j.
-1, 0, 1/4
Let y(t) = -6*t - 3. Let d be y(-2). Factor -3*j - 10 - d + 17 - j**2.
-(j + 1)*(j + 2)
Let p be ((-1500)/(-56) - 2) + 2. Let f = p - 53/2. Factor -f*b**4 + 8/7*b - 2/7 + 8/7*b**3 - 12/7*b**2.
-2*(b - 1)**4/7
Let q = -28 + 41. Factor 5*s**2 + 5*s**2 + 9*s - 6 - q*s**2.
-3*(s - 2)*(s - 1)
Let i(v) = 3*v**3 + 8*v**2 + 3*v. Let y(s) = -50*s**3 - 135*s**2 - 50*s. Let j(k) = -35*i(k) - 2*y(k). Solve j(n) = 0.
-1, 0
Let c(p) be the first derivative of 4*p**3/15 + 2*p**2/5 - 8*p/5 + 5. Factor c(g).
4*(g - 1)*(g + 2)/5
Let s be ((-3)/8)/((-3)/12). Find n, given that -3/2 + 3*n - s*n**2 = 0.
1
Factor 2/5*l**2 + 4/5 + 6/5*l.
2*(l + 1)*(l + 2)/5
Suppose 2*b - 9 = -m, 4*m + 6*b - 24 = 2*b. Suppose m*z - 8 = 7. Let -2/3*w**z - 2*w - 14/3*w**2 - 16/3*w**3 - 3*w**4 - 1/3 = 0. What is w?
-1, -1/2
Let h(m) = -2*m - 18. Let a be h(-10). Let v(g) be the first derivative of -3/2*g**a + 1/2*g**4 - g + 3/5*g**5 + 1/6*g**6 - 2 - 2/3*g**3. Factor v(x).
(x - 1)*(x + 1)**4
Let i be 2*18/12*1. Factor 1/3*j**3 + i*j + 0 + 2*j**2.
j*(j + 3)**2/3
Let -h**4 - 2*h**4 + 19*h**3 + 8*h**4 + 10*h**2 - 4*h**3 = 0. Calculate h.
-2, -1, 0
Suppose -2*f = -3*f + 2. Suppose 5*h + 4*r + 0 = 10, -6 = -3*h - f*r. Determine z, given that z - 4*z - z**2 - 2*z**h = 0.
-1, 0
Let f be 1834/12 + 1/6. Let u be (-4)/(-18) + 17/f. Factor -u*l + 0*l**2 + 0*l**4 + 2/3*l**3 + 0 - 1/3*l**5.
-l*(l - 1)**2*(l + 1)**2/3
Suppose -2*u = 3*f - 19, 19 = 2*f - 4*f + 5*u. Let o be (9 - 3)*7/f. Factor -6*b - 3*b - 4 + 3*b + o*b**2 - 4*b.
2*(b - 1)*(7*b + 2)
Let u(h) be the second derivative of h**7/231 + 2*h**6/165 - h**5/55 - 2*h**4/33 + h**3/33 + 2*h**2/11 - 4*h. Let u(f) = 0. What is f?
-2, -1, 1
Let d(m) be the second derivative of 0 - 4/3*m**3 + m - 1/30*m**5 - 1/3*m**4 - m**2. Let q(b) be the first derivative of d(b). Factor q(j).
-2*(j + 2)**2
Suppose -4/5*v**4 + 0*v + 4/5*v**3 + 4/5*v**2 - 4/5*v**5 + 0 = 0. What is v?
-1, 0, 1
Let o be (1/2 - 3) + 4. Solve o*f**3 + 9/2*f**2 + 9/2*f + 3/2 = 0 for f.
-1
Let x(k) be the third derivative of -k**6/40 - 11*k**5/100 - 7*k**4/40 - k**3/10 + 8*k**2. Factor x(o).
-3*(o + 1)**2*(5*o + 1)/5
Let x(f) be the third derivative of 1/60*f**5 + 0*f + 0*f**3 + 0 - 3*f**2 - 1/24*f**4. Determine l so that x(l) = 0.
0, 1
Let n = 79937/1190 - 1149/17. Let f = -1/70 - n. Suppose f*s**3 + 4/5*s**2 + 0*s + 0 = 0. What is s?
-2, 0
Let u(t) be the first derivative of -t**6/9 + t**4/2 - 4*t**3/9 - 1. Factor u(g).
-2*g**2*(g - 1)**2*(g + 2)/3
Let i(n) = n - 7. Let c be i(11). Let u(t) be the first derivative of -2*t**2 - 9/5*t**5 - 2 + 11/3*t**3 - c*t + 3/2*t**4. What is w in u(w) = 0?
-2/3, 1
Suppose w + 40 = 45. Factor 10/3*a**4 + 20/3*a**2 + 10/3*a + 20/3*a**3 + 2/3 + 2/3*a**w.
2*(a + 1)**5/3
Let t(j) be the third derivative of -j**6/120 - j**5/12 + j**4/24 + 7*j**3/6 - j**2. Let w be t(-5). Factor 6*d**w - 1 - 2*d + 3 + 2*d**3 + 8*d.
2*(d + 1)**3
Let g be 3/105 - 2/5. Let v = 4/7 + g. Find m, given that 1/5 - v*m**2 + 0*m = 0.
-1, 1
Factor 6/7 + 3/7*m**3 + 0*m**2 - 9/7*m.
3*(m - 1)**2*(m + 2)/7
Let c(a) be the third derivative of 1/30*a**5 + 0*a + 2/9*a**3 - a**2 + 5/36*a**4 + 0. Solve c(h) = 0 for h.
-1, -2/3
Suppose -3*g + 10 - 1 = 0. Factor -q**3 + 3*q**4 + 9*q**3 + q**g + 6*q**2.
3*q**2*(q + 1)*(q + 2)
Factor -3/2*r - 3/2*r**2 + 3/2 + 3/2*r**3.
3*(r - 1)**2*(r + 1)/2
Suppose -n = 5*n - 36. Factor 5*m**5 + n*m**2 + 3*m**3 - m**5 - m**5 - 12*m**3.
3*m**2*(m - 1)**2*(m + 2)
Let t(s) = s**4 + 3*s**3 - 5*s**2 - s + 5. Let k(q) = q**4 - q**3 - q**2 - q - 1. Let n(j) = -k(j) - t(j). Factor n(r).
-2*(r - 1)**2*(r + 1)*(r + 2)
Let c = -33 - -299/9. Factor 4/9*d + 2/9 + c*d**2.
2*(d + 1)**2/9
Suppose -2*s - s - 4*c = -16, 3*s - 8 = -2*c. What is k in s*k - 8/7 + 2/7*k**2 = 0?
-2, 2
Let s(y) be the first derivative of -3 + 0*y**2 + 0*y - 2/3*y**3. Determine w so that s(w) = 0.
0
Suppose -2*u + 4*f + 20 = 0, 2*u - 13 = 3*f + 2. Suppose -3*p + 9 = -5*p - 5*h, -4*p - 4*h = u. Factor i - 4*i**2 + 3 - 2 + p*i**2 - i**3.
-(i - 1)*(i + 1)**2
Let w be (0/((-4)/(-2)))/(-1). Let v(t) = -t**2 - t + 2. Let z be v(w). Let 2*p + p**2 + 0*p**2 + p**z = 0. Calculate p.
-1, 0
Let r(g) be the third derivative of -g**6/30 + 2*g**5/15 + 7*g**4/6 + 8*g**3/3 - 12*g**2. Determine o, given that r(o) = 0.
-1, 4
Suppose -m + 0*m - 9 = 0. Let f = 11 + m. Suppose -4*t**3 - 2*t**4 - 4*t**f - 2/5 - 2/5*t**5 - 2*t = 0. Calculate t.
-1
Determine f so that 0*f**3 - 4/17*f**2 + 0*f + 2/17*f**4 + 2/17 = 0.
-1, 1
Let j(c) be the first derivative of c**6/120 + 3*c**5/80 + c**4/24 + 4*c - 6. Let l(b) be the first derivative of j(b). Factor l(z).
z**2*(z + 1)*(z + 2)/4
Let v(h) be the second derivative of 1/2*h**2 - 1/6*h**3 + 1/60*h**5 + 1/24*h**4 - 1/120*h**6 + 3*h + 0. Let b(i) be the first derivative of v(i). Factor b(l).
-(l - 1)**2*(l + 1)
Suppose -2*c = -4*k - 76, 8*c - 70 = 4*k + 3*c. Let y be (-5)/k + 2/(-8). Factor -1/5*a**3 + 3/5*a - 2/5 + y*a**2.
-(a - 1)**2*(a + 2)/5
Let s(b) be the third derivative of -b**6/60 + 8*b**5/105 - 11*b**4/84 + 2*b**3/21 + 8*b**2. Factor s(l).
-2*(l - 1)**2*(7*l - 2)/7
Let g = 27 - 12. Let o be (-26)/(-24) - 5/g. Let o*p**2 - 9/4*p + 3/2 = 0. Calculate p.
1, 2
Let k(q) be the second derivative of 4/3*q**3 - 2*q + 0 - 1/15*q**6 - q**2 - q**4 + 2/5*q**5. Suppose k(l) = 0. What is l?
1
Let i(u) = -2*u + 13. Let j be i(7