 1)**2*(3*l + 1)**2
Let a(d) be the third derivative of -1/60*d**6 + 0 + 0*d + d**2 + 0*d**3 + 0*d**4 + 1/30*d**5. Solve a(n) = 0.
0, 1
Factor 0 - 1/3*j**2 + 2/3*j.
-j*(j - 2)/3
Let r(q) be the third derivative of q**8/7560 - q**7/3780 - q**6/1620 + q**5/540 - q**3 - 6*q**2. Let y(d) be the first derivative of r(d). Factor y(x).
2*x*(x - 1)**2*(x + 1)/9
Let p be (-3)/(6/(-8)) + (-8)/3. Suppose p*q - 7/3*q**3 + 0 - q**4 + 0*q**2 = 0. Calculate q.
-2, -1, 0, 2/3
Let i(t) = -t**3 - t + 1. Let v(o) = -4*o**4 + 16*o**3 + 32*o - 20. Let j(y) = -24*i(y) - v(y). Factor j(x).
4*(x - 1)*(x + 1)**3
Let c(y) be the third derivative of -y**6/50 + y**5/100 + y**4/10 - y**3/10 - 2*y**2. Factor c(m).
-3*(m - 1)*(m + 1)*(4*m - 1)/5
Let w(j) = -3*j**3 + 24*j**2 + 66*j + 33. Let s(m) = 6*m**3 - 49*m**2 - 131*m - 66. Let b(x) = 3*s(x) + 5*w(x). Find f such that b(f) = 0.
-1, 11
Let k(q) be the second derivative of 0 - 1/15*q**3 + 0*q**2 + 1/50*q**5 + 3*q + 0*q**4. Let k(c) = 0. What is c?
-1, 0, 1
Let o be (-3)/(-9)*(-4)/(-1). Let 2/3*g**3 - 4/3 + o*g**2 - 2/3*g = 0. Calculate g.
-2, -1, 1
Suppose 0 = 3*g - 4*f - 13 - 6, 13 = g + 2*f. Suppose -26 - 3*r**4 + 0*r + g*r**2 - 6*r + 26 = 0. Calculate r.
-2, 0, 1
Let m(k) be the third derivative of -k**8/168 - k**7/105 + k**6/30 + k**5/15 - k**4/12 - k**3/3 + 7*k**2. Find v such that m(v) = 0.
-1, 1
Suppose -4*n + 2*i + 8 = -2*i, -2*n + 7 = -i. Factor -12*m**4 + 22*m**2 - 2*m**n + 12*m + 8*m**2 - 24 - m**5 - 3*m**3.
-3*(m - 1)**2*(m + 2)**3
Let k be (-1)/1 + 2 - -3. Factor 2*x**4 - x**k + 2*x**4 + 2*x**2 + x**2 - 6*x**3.
3*x**2*(x - 1)**2
Let g(a) be the second derivative of 1/20*a**5 + 1/6*a**4 + 0*a**2 + 7*a + 1/6*a**3 + 0. Factor g(l).
l*(l + 1)**2
Factor -5*x**2 + 340*x**3 + 3*x**2 - 342*x**3.
-2*x**2*(x + 1)
Let h = -205 + 1029/5. Factor 6/5*v**2 - h - 2*v.
2*(v - 2)*(3*v + 1)/5
Let z(u) = u**4 + u. Let d(a) = 9*a**4 - 6*a**3 - 12*a**2 + 12*a + 9. Let f(v) = d(v) - 6*z(v). Solve f(t) = 0 for t.
-1, 1, 3
Factor -1/8*j**3 + 0*j**2 - 1/4 + 3/8*j.
-(j - 1)**2*(j + 2)/8
Let q be -1 - (-2)/(-2)*4. Let z be (-2)/(2/q) - 0. Factor 4*v**z - 3*v**4 + 4*v**4 - 2*v**5 + 0*v**5.
v**4*(2*v + 1)
Let l(j) = -2*j + 22. Let g be l(10). Factor 2*b + 7*b**g + 2*b**2 - 4 - 7*b**2.
2*(b - 1)*(b + 2)
Let h(y) = y**2 + 2*y + 3. Let n(w) = 4*w**2 + 7*w + 12. Let g(b) = 9*h(b) - 2*n(b). Factor g(z).
(z + 1)*(z + 3)
Let j(m) be the second derivative of m**5/40 + m**4/12 + m**3/12 + 2*m. Factor j(q).
q*(q + 1)**2/2
Let s = 96/11 - 842/99. Let m be 22*2/12 - 3. What is k in -s*k**2 - m*k - 4/9 = 0?
-2, -1
Let c be 2/(((-14)/(-8))/7). Let k be 4/((c/2)/2). Let 0 + k*s**3 + 0*s - 2*s**4 - 2/3*s**2 + 2/3*s**5 = 0. Calculate s.
0, 1
Let i(q) = q**3 + 5*q**2 - 6*q + 2. Let h be i(-6). Suppose 0*w - 1/5*w**h + 4/5 = 0. What is w?
-2, 2
Let l be 1/10 + (0 - 0). Let m(q) be the second derivative of 1/3*q**3 + 2*q + 0*q**4 - 1/30*q**6 + 1/2*q**2 + 0 - l*q**5. Factor m(s).
-(s - 1)*(s + 1)**3
Let 0 - 4*r + 2/3*r**2 + 2/3*r**3 = 0. Calculate r.
-3, 0, 2
Let v(j) be the first derivative of j**6/6 - 3*j**5/5 - 3*j**4/4 + 11*j**3/3 - 3*j**2 - 45. Find s, given that v(s) = 0.
-2, 0, 1, 3
Let h(a) be the second derivative of -a**5/10 + 5*a**4/18 - 2*a**3/9 + 63*a. Factor h(o).
-2*o*(o - 1)*(3*o - 2)/3
Let v(q) be the third derivative of -q**6/60 - 3*q**5/70 - q**4/42 + 11*q**2. Factor v(c).
-2*c*(c + 1)*(7*c + 2)/7
Let p(n) = 25*n**3 - 9*n**2 - 9*n. Let h(q) = 6*q**3 - 2*q**2 - 2*q. Let o(z) = 9*h(z) - 2*p(z). Factor o(i).
4*i**3
Factor 1/2*z + 0*z**4 + 0 + 1/2*z**5 + 0*z**2 - z**3.
z*(z - 1)**2*(z + 1)**2/2
Suppose -5*z = 20, 4*c + 2*z - 3*z = 36. Let w be c/5 + 12/30. Factor -4*d + 4*d - 2 + w*d**2.
2*(d - 1)*(d + 1)
Let m = 1/23347 + 4132405/326858. Let w = -57/7 + m. Factor -w - 1/2*c**2 - 3*c.
-(c + 3)**2/2
Let u(v) = 2*v**4 + 4*v**3 + 6*v**2 - v - 5. Let n(t) = -9*t**4 - 17*t**3 - 25*t**2 + 4*t + 21. Let k(d) = 6*n(d) + 26*u(d). Factor k(p).
-2*(p - 2)*(p - 1)*(p + 1)**2
Let z(q) be the third derivative of 9*q**6/200 - 7*q**5/100 - q**4/20 - 8*q**2. Determine s so that z(s) = 0.
-2/9, 0, 1
Let k(r) = r**3 - 4*r**2 - 2*r + 4. Let n be k(3). Let y = n - -16. Factor -4*p**3 + p**y + 0*p**2 - 4*p**4 + 3*p**3 + 2*p**2 + 2*p**4.
p**2*(p - 2)*(p - 1)*(p + 1)
Let d = 288/11 + -26. Let 0 + d*l - 2/11*l**3 + 4/11*l**2 - 4/11*l**4 = 0. What is l?
-1, -1/2, 0, 1
Let l = -4 + 5. Factor -7*s**3 + 2*s**3 - 3*s + 3*s**2 + s**3 + 3*s**3 + l.
-(s - 1)**3
Let b be 106/53*(-2)/(-20). Let 1/5*p**4 + 0*p - b*p**3 + 0*p**2 + 0 = 0. Calculate p.
0, 1
Suppose 2/15*d + 2/15 - 2/15*d**2 - 2/15*d**3 = 0. What is d?
-1, 1
Solve 1/8*w**4 - 1/8*w - 1/8*w**5 + 1/8 + 1/4*w**3 - 1/4*w**2 = 0 for w.
-1, 1
Let b(f) be the third derivative of -1/60*f**5 - f**2 + 0*f**3 + 1/360*f**6 + 0 + 1/36*f**4 + 0*f. What is x in b(x) = 0?
0, 1, 2
Let w be (1/(-5))/((-21)/5)*6. Factor -2/7*d**3 + 2/7*d - 2/7 + w*d**2.
-2*(d - 1)**2*(d + 1)/7
Determine x so that -5*x**3 + 49 + 4*x**4 - 5*x**3 - 2*x + 8*x**2 - 49 = 0.
0, 1/2, 1
Suppose 0 = -3*n - 5*i + 26, -5*n + 2*i + 3*i = 10. Suppose 7*z - n = 12. Solve 0 + 2/3*h - 8/3*h**z + 2*h**3 = 0.
0, 1/3, 1
Let m(k) be the third derivative of k**8/2352 + k**7/735 - k**5/210 - k**4/168 - 7*k**2. Factor m(y).
y*(y - 1)*(y + 1)**3/7
Let c be (-3)/(-2)*3 + 8/(-2). What is w in -1/2*w**3 + 0 + w**2 - c*w = 0?
0, 1
Solve 5/4*t**2 + 1/4*t**4 + 0 - 1/2*t - t**3 = 0 for t.
0, 1, 2
Let k be ((-9)/(-2)*(-5)/(-10))/3. Let r be 15/28 + (-4)/14. Factor r*l + 1/2 - k*l**2.
-(l - 1)*(3*l + 2)/4
Suppose -12*t + 14*t = 8. Factor -2/5*b**3 + 0*b + 0 + 4/5*b**2 - 56/5*b**t.
-2*b**2*(4*b - 1)*(7*b + 2)/5
Let w(g) be the second derivative of -1/135*g**6 + 1/54*g**4 + 1/90*g**5 + 0*g**2 - 2*g + 0 - 1/27*g**3. Factor w(j).
-2*j*(j - 1)**2*(j + 1)/9
Let j = 382/377 - 16/29. Determine q, given that -2/13*q**2 - j*q + 0 = 0.
-3, 0
Suppose -x - 2*d - 2 = 0, -x - 3*d + 0 = 5. Factor 2*h - 3*h**3 - 3*h**2 + h**5 + 2*h**2 + 5*h**4 - 4*h**x.
h*(h - 1)**2*(h + 1)*(h + 2)
Let a(r) be the third derivative of -r**7/70 - 7*r**6/180 + r**5/60 + r**4/6 - r**3/6 + 2*r**2. Let b(w) be the first derivative of a(w). Factor b(z).
-2*(z + 1)*(2*z - 1)*(3*z + 2)
Let x = -49/33 - -20/11. Let w(o) be the third derivative of 3*o**2 + 1/120*o**6 + 5/24*o**4 + 0*o + 0 - x*o**3 - 1/15*o**5. Let w(f) = 0. Calculate f.
1, 2
Let p(m) be the first derivative of -m**5/15 - m**4/12 + 36. Solve p(i) = 0 for i.
-1, 0
Let a(m) be the first derivative of 4*m**3 + m**4 + 2*m + 9/2*m**2 + 6. Factor a(c).
(c + 2)*(2*c + 1)**2
Let q(d) be the first derivative of -4*d**5/5 - 8*d**4 - 20*d**3 + 16*d**2 + 64*d - 5. Solve q(m) = 0 for m.
-4, -1, 1
Let f be 4/(-6) + 2 + -1. Let j(z) be the first derivative of -f*z - 2/9*z**3 + 1/5*z**5 - 2 + 1/18*z**6 + 1/6*z**4 - 1/2*z**2. Factor j(r).
(r - 1)*(r + 1)**4/3
Let p = -8 + 13. Solve 4*s + 0 - 12*s**2 + 2 + 1 + p*s = 0.
-1/4, 1
Let v = 1755670/3021 + -11030/19. Let r = v - -2/53. Factor -4/3 + r*p + 2/3*p**2.
2*(p - 1)*(p + 2)/3
Let l(b) be the second derivative of -b**4/20 - 8*b**3/5 + 51*b**2/10 + 65*b. Factor l(f).
-3*(f - 1)*(f + 17)/5
Let m(y) be the third derivative of -y**7/1365 - y**6/780 - 2*y**2. What is v in m(v) = 0?
-1, 0
Let n = -161 - -163. Factor 0 - 2/9*y + 2/9*y**n.
2*y*(y - 1)/9
Let t(w) be the second derivative of -2*w**7/21 + 2*w**6/15 + 3*w**5/5 - 5*w**4/3 + 4*w**3/3 - 2*w. Factor t(s).
-4*s*(s - 1)**3*(s + 2)
Let s(v) be the first derivative of v**6/3 - 8*v**5/5 + 2*v**4 + 49. Factor s(f).
2*f**3*(f - 2)**2
Find z, given that 14/9*z**2 - 10/9*z**3 + 0 + 2/9*z**4 - 2/3*z = 0.
0, 1, 3
Let x be (-10)/15*(-2)/156. Let y = x + 229/585. What is k in 2/5 - 2/5*k**2 - 2/5*k**3 + y*k = 0?
-1, 1
Let l = -6 - -12. What is b in -117*b**2 - l*b**3 - 3*b**4 + 117*b**2 = 0?
-2, 0
Let r be (-2 - 474/(-66)) + -5. Factor r*v**3 + 0*v**2 + 4/11 - 6/11*v.
2*(v - 1)**2*(v + 2)/11
Let v(w) = 5*w**3 + 18*w**2 - 36*w + 32. Let t(f) = -3*f**3 - 12*f**2 + 24*f - 21. Let n(q) = -8*t(q) - 5*v(q). Suppose n(g) = 0. Calculate g.
2
Factor -3*q**3 + 446*q**2 - 446*q**2.
-3*q**3
Suppose 4*t - 12 = -k, -t + 3 = k - 6. Suppose 0 = -x - 2*o + 11, 2*x - 4*o + k = -2. Suppose -4/5*b**2 + 2/5*b**x + 2/5*b + 0 = 0. Calculate b.
0, 1
Let u(s) be the first derivative of -s**3/6 - s**2/2 + 3*s/2 - 