 - 1)**2*(k + 1)/7
Let z(r) be the third derivative of 7*r**6/60 + 2*r**5/5 - 25*r**4/12 + 2*r**3 + r**2. Factor z(w).
2*(w - 1)*(w + 3)*(7*w - 2)
Let q(o) be the second derivative of 0 + 2/27*o**3 + 1/90*o**5 - 3*o + 1/18*o**4 + 0*o**2. Suppose q(y) = 0. Calculate y.
-2, -1, 0
Let a(g) = -3*g**3 + 2*g**2 - 3*g. Let o(m) = 6*m**3 - 3*m**2 + 6*m. Suppose 2*q - 4*q - 5*b - 18 = 0, 2*q + 2*b = -18. Let t(z) = q*a(z) - 4*o(z). Factor t(f).
3*f*(f - 1)**2
Suppose 0 = 3*r - 0*r. Suppose -11*t - 2 = -24. Suppose -2*a**3 + 0*a**4 + 0*a + 2/3*a**5 + r + 4/3*a**t = 0. Calculate a.
-2, 0, 1
Let q(z) be the third derivative of -z**6/480 + z**5/240 + z**4/48 - 5*z**2. Determine d so that q(d) = 0.
-1, 0, 2
Suppose 0 = -0*v + 3*v - 39. Suppose -v = -k - 3*h + 5, -25 = -5*h. What is c in 0*c**2 - 1/3*c + 0 + 1/3*c**k = 0?
-1, 0, 1
Let s(o) be the second derivative of o**6/10 + 3*o**5/5 + 5*o**4/4 + o**3 + 7*o. Factor s(l).
3*l*(l + 1)**2*(l + 2)
Let r(m) be the second derivative of -m**5/100 + m**4/30 - m**3/30 - 3*m. Let r(o) = 0. What is o?
0, 1
Let x = 677/9 + -75. Suppose 2/9*f**2 + x - 4/9*f = 0. What is f?
1
Let k(u) = -u**2 + 22*u - 20. Let g be k(21). Let n(s) be the first derivative of 1/5*s**2 + 4/5*s - 2/15*s**3 + g. Factor n(l).
-2*(l - 2)*(l + 1)/5
Let j(p) = -31*p**2 + 25*p + 13. Let i(y) = -10*y**2 + 8*y + 4. Let f(c) = -7*i(c) + 2*j(c). Factor f(d).
2*(d - 1)*(4*d + 1)
Suppose 0*y + 2/3*y**4 + 0 + 4/3*y**2 - 2*y**3 = 0. What is y?
0, 1, 2
Let f(l) = 7*l**5 - 4*l**4 + 15*l**3 + 16*l**2 + 17*l - 9. Let o(t) = -3*t**5 + 2*t**4 - 7*t**3 - 8*t**2 - 8*t + 4. Let r(y) = 4*f(y) + 9*o(y). Factor r(v).
v*(v - 2)*(v + 1)**2*(v + 2)
Factor 2*y - 50*y**3 + 2*y**4 + 47*y**3 - y**4 + y - 2 + y**2.
(y - 2)*(y - 1)**2*(y + 1)
Let k be (2/(-3))/((-6)/27). Let i be 77/42 - 2/(-12). Factor -2*u - k*u**i - 2*u**3 - 2*u - 5*u**2 - 4*u.
-2*u*(u + 2)**2
Suppose 3*l + 0*l = -4*k - 1, 3*k - 9 = l. Factor 2/9*p**4 - 2/3*p**3 + 0*p + 4/9*p**k + 0.
2*p**2*(p - 2)*(p - 1)/9
Factor -1/9*l**5 - 4/9*l**3 + 2/9 + 2/9*l**2 - 4/9*l**4 + 5/9*l.
-(l - 1)*(l + 1)**3*(l + 2)/9
Let n(w) be the first derivative of w**7/105 + w**6/75 - w**5/25 - w**4/15 + w**3/15 + w**2/5 - w - 1. Let i(r) be the first derivative of n(r). Factor i(k).
2*(k - 1)**2*(k + 1)**3/5
Let d be 10 + (-3)/(-6)*4. Suppose 7*q - 4*q = d. Factor -1/5*p**q + 1/5*p**2 + 0 + 1/5*p**3 - 1/5*p.
-p*(p - 1)**2*(p + 1)/5
Let j(b) = -3*b**3 - b**2 - 2*b. Let f(n) = -n**3 - n**2 - n. Let t(m) = 2*f(m) - j(m). Suppose t(p) = 0. What is p?
0, 1
Suppose r + t + 5 = -t, 2*r + 10 = -t. Let c(f) = 8*f**2 - 8. Let v(u) = -u**2 - 2 + 1 + 2. Let o(w) = r*v(w) - c(w). Suppose o(h) = 0. What is h?
-1, 1
Let n(l) be the first derivative of 2*l**3/3 - 18*l - 7. Factor n(w).
2*(w - 3)*(w + 3)
Let q be (-20)/(-90) + (-1511)/36. Let u = q + 42. Determine v, given that -1/4 + 1/2*v - u*v**2 = 0.
1
Factor -6/7*t + 2/7 + 6/7*t**2 - 2/7*t**3.
-2*(t - 1)**3/7
Let m = 1/15 - 1/30. Let x(l) be the third derivative of 0*l - m*l**5 - 3*l**2 - 1/12*l**4 + 0 + 0*l**3. Determine t so that x(t) = 0.
-1, 0
Let n be (1/(-1))/((-6)/90). Let x = 18 - n. Find c such that 2/7*c**2 - 2/7*c**4 - 4/7*c**x + 4/7*c + 0 = 0.
-2, -1, 0, 1
Let n be (-3)/3*-1 - 1. Suppose -2*x - x = n. Suppose 3/2*c**4 + x + 0*c - 3*c**3 + 3/2*c**2 = 0. Calculate c.
0, 1
Let c be 3*(8/(-4))/(-2). Factor 1/4*o + 0 + 1/4*o**c + 1/2*o**2.
o*(o + 1)**2/4
Let m be 18/63 + 99/21. Let i(g) be the first derivative of 0*g + 0*g**2 - 1/2*g**4 + 2/5*g**m - 2 + 0*g**3. Factor i(c).
2*c**3*(c - 1)
Let v(j) = j**2 + 3*j**2 + 4*j**2 - 4*j**2. Let a be v(1). Suppose 2*n**3 - n**5 + 2*n + 0*n + n - a*n = 0. What is n?
-1, 0, 1
Let c be -2 + -2 - (-5028)/1258. Let z = c + 2530/4403. Factor 2/7*b**2 + 0 - 6/7*b**3 + z*b.
-2*b*(b - 1)*(3*b + 2)/7
Let y(v) = v**3 + 2*v**2 - v + 1. Suppose -9*s - 12 = -3*s. Let u be y(s). Factor 2/3*j + 0 + u*j**2.
j*(9*j + 2)/3
Let l(f) be the third derivative of -f**5/150 + f**4/60 + 2*f**3/15 - 5*f**2. Factor l(y).
-2*(y - 2)*(y + 1)/5
Let v(u) be the first derivative of -1/8*u**2 + 1/8*u**4 + 0*u**5 - 1/24*u**6 + 0*u**3 - 1 + 0*u. Factor v(j).
-j*(j - 1)**2*(j + 1)**2/4
Let i(r) be the second derivative of r**6/70 - r**4/14 + 3*r**2/14 - 20*r. Determine q, given that i(q) = 0.
-1, 1
Let t(a) be the third derivative of a**8/224 + a**7/84 + a**6/240 - a**5/120 - 5*a**2. Factor t(q).
q**2*(q + 1)**2*(3*q - 1)/2
Let h(k) = 15*k**4 + 9*k**3 - 69*k**2 + 15*k + 6. Let t(z) = -3*z**4 - 2*z**3 + 14*z**2 - 3*z - 1. Let i(d) = 5*h(d) + 24*t(d). Solve i(p) = 0.
-1, 1, 2
Let x be -3 - (0 - 6) - -2. Determine r so that -r**4 + 2*r**x + 4*r - 8*r**3 + 4*r**4 - 2*r**4 + 2*r**5 + 1 - 2*r**2 = 0.
-1, -1/4, 1
Factor -r**2 - 6 - 9*r + 3*r**4 + 4*r**2 + 341*r**3 - 332*r**3.
3*(r - 1)*(r + 1)**2*(r + 2)
Let w be 5 + 3 + (-40)/6. Let s = 5/12 + 1/4. Determine n, given that 2/3*n**3 - 4/3*n**2 - s*n + w = 0.
-1, 1, 2
Let v(g) = 32*g**4 + 45*g**3 + 15*g**2 + 5*g - 3. Let w(h) = -32*h**4 - 46*h**3 - 16*h**2 - 4*h + 2. Let j(q) = -2*v(q) - 3*w(q). Factor j(m).
2*m*(m + 1)*(4*m + 1)**2
Let z = -6 + 8. Let v = 14 + -9. Factor -z*n**5 - 3*n**4 - 3*n**4 + 0*n**v + 4*n**4.
-2*n**4*(n + 1)
Let v be 3/(-55) + (13 - (-806)/(-65)). Factor 0*l**2 + 4/11 - v*l + 2/11*l**3.
2*(l - 1)**2*(l + 2)/11
Let k(l) be the second derivative of 2*l**7/63 - 2*l**6/15 + l**5/5 - l**4/9 - 8*l. Solve k(t) = 0.
0, 1
Let c(i) be the third derivative of 0*i - 7/360*i**6 + 0 + 0*i**4 + 0*i**3 + i**2 + 1/90*i**5. Let c(p) = 0. Calculate p.
0, 2/7
Factor -16/3*c**3 - 22/3*c**4 - 2*c**5 + 0*c + 8/3*c**2 + 0.
-2*c**2*(c + 2)**2*(3*c - 1)/3
Let f(z) be the third derivative of 0*z**3 - 1/120*z**4 + 0 + 1/600*z**6 + 0*z**5 + z**2 + 0*z. What is u in f(u) = 0?
-1, 0, 1
Find a, given that a**3 + a - 10*a**2 + 21*a**2 - 9*a**2 - 4*a**2 = 0.
0, 1
Let k = 1 + 1. Let j be 6/27 + 628/9. Determine n, given that -n**k - 70 + j = 0.
0
Let g be ((-9)/2)/(1998/72). Let v = 44/185 - g. Factor 4/5 - 2/5*f**2 + v*f.
-2*(f - 2)*(f + 1)/5
Let q be (2 + (-8)/3)*18/(-24). Let -1/4 + q*d**2 - 1/4*d = 0. Calculate d.
-1/2, 1
Let g(v) = v**2 + v. Suppose -5*a = -4*a + 36. Let c be (2/6)/((-6)/a). Let h(l) = 7*l**2 + 8*l + 1. Let u(d) = c*h(d) - 6*g(d). Factor u(s).
2*(s + 1)*(4*s + 1)
Factor -64*s**2 + 5*s + 60*s**2 - s.
-4*s*(s - 1)
Factor 0*k**2 + 0*k - 2/19*k**4 + 0*k**3 + 0.
-2*k**4/19
Let w be 1/3 + (-32)/60. Let y = w + 8/15. Factor -y*p**5 + 0 + 2/3*p**3 + 0*p**4 + 0*p**2 - 1/3*p.
-p*(p - 1)**2*(p + 1)**2/3
Let b(x) = 115*x**3 + 168*x**2 + 61*x + 8. Let j(o) = 57*o**3 + 84*o**2 + 31*o + 4. Let p = 5 + -8. Let w(v) = p*b(v) + 7*j(v). Factor w(a).
2*(a + 1)*(3*a + 1)*(9*a + 2)
Let o(p) be the first derivative of -p**6/33 + 6*p**5/55 - p**4/22 - 2*p**3/11 + 2*p**2/11 - 13. Solve o(i) = 0.
-1, 0, 1, 2
Factor 0*j + 0 + 0*j**2 - 1/2*j**4 - 1/2*j**3.
-j**3*(j + 1)/2
Factor -9*d**2 - 2*d**2 - 2*d**2 + 54*d - 54 - 5*d**2 + 2*d**3.
2*(d - 3)**3
Suppose 0 = 3*o + 173 - 176. Factor 0*k**2 - o - 3/2*k + 1/2*k**3.
(k - 2)*(k + 1)**2/2
Factor -8/9*c**3 + 2/9 - 8/9*c + 4/3*c**2 + 2/9*c**4.
2*(c - 1)**4/9
Let j(o) be the third derivative of -2*o**7/7 - 13*o**6/15 - 13*o**5/15 - o**4/3 + 4*o**2. Suppose j(x) = 0. What is x?
-1, -2/5, -1/3, 0
Let l = -6 + 6. Suppose -2*a + 0*a - 2 = 2*o, 8 = -2*o. Let 0*f**3 - 2*f**4 + l*f**2 + 8*f**2 + 4*f**4 + 8*f**a = 0. Calculate f.
-2, 0
Find r such that 1/7*r**2 + 0 + 0*r = 0.
0
Let t(f) = -6*f**4 - 46*f**3 + 74*f**2 - 96*f + 19. Let y(b) = b**4 + 9*b**3 - 15*b**2 + 19*b - 4. Let q(v) = -4*t(v) - 22*y(v). Factor q(d).
2*(d - 3)*(d - 2)*(d - 1)**2
Factor 2/7*x**4 + 10/7*x - 4/7 - 2/7*x**3 - 6/7*x**2.
2*(x - 1)**3*(x + 2)/7
Determine q, given that 50/3*q**4 + 136/3*q - 8 - 74*q**2 + 20*q**3 = 0.
-3, 2/5, 1
Let q be (-2 - 6/2)/(-1). Suppose 3 = -4*g + q*g. Factor -t**g + 0*t**4 + 3*t**4 + t**3 + 3*t**3.
3*t**3*(t + 1)
Let v(s) be the first derivative of 7/10*s**4 - 2/3*s**3 - 16/5*s**2 - 2 - 8/5*s. Factor v(k).
2*(k - 2)*(k + 1)*(7*k + 2)/5
Let g(n) be the first derivative of n**7/630 - n**5/60 + n**4/36 - n**2 - 4. Let s(z) be the second derivative of g(z). Factor s(v).
v*(v - 1)**2*(v + 2)/3
Let 34*v - 14*v - 48 + 4*v - 3*v**2 = 0. What is v?
4
Factor -1/2*l**3 + 0 + 0*l**2 + 0*l.
-l**3/2
Let j(b) = -b**3 + 9*b**2 + 23*b 