3*q. Let j(r) = 3*o(r) - s(r). Factor j(c).
2*c*(c + 1)
What is w in 2/13*w**2 - 2/13*w**4 + 4/13*w - 4/13*w**3 + 0 = 0?
-2, -1, 0, 1
Let o(t) be the third derivative of 0*t + 0*t**4 + 0 - 1/1344*t**8 + 0*t**3 + t**2 + 1/280*t**7 - 1/160*t**6 + 1/240*t**5. Factor o(p).
-p**2*(p - 1)**3/4
Suppose -5*g = 0, -3*s + 0*g + 2*g = -9. Let o = -6 + 8. Factor -1 - 1 - 2 - b**4 - 10*b + 3*b**4 + 2*b**s - 6*b**o.
2*(b - 2)*(b + 1)**3
Factor 4*i**4 + 0*i**4 + 0*i**4 + 3 - i**4 - 6*i**2.
3*(i - 1)**2*(i + 1)**2
Let b(a) be the first derivative of -a**7/2940 + a**5/420 - 5*a**3/3 + 7. Let x(l) be the third derivative of b(l). Solve x(u) = 0.
-1, 0, 1
Let h(p) = -p**2 - p + 5. Let b be h(0). Let f(t) = 21*t**2 + 24*t + 21. Let j(v) = -6*v**2 - 7*v - 6. Let z(y) = b*f(y) + 18*j(y). Find l such that z(l) = 0.
-1
Let i(d) be the first derivative of -3/4*d**3 - 3/16*d**4 + 0*d**2 + 3*d + 3. What is w in i(w) = 0?
-2, 1
Let k(i) = -4*i**3 + 2*i**2 + 2*i - 2. Let t(a) = a**2 + a - 1. Let c(x) = -k(x) - 2*t(x). Suppose c(l) = 0. What is l?
-1, 1
Let f(m) be the third derivative of -m**6/180 - 2*m**5/45 - m**4/9 + m**2 - 17*m. Factor f(z).
-2*z*(z + 2)**2/3
Let z = 0 + -2. Let x be (5*-2)/z + -1. Factor -2*c**5 + 2*c**4 - c**x + c**5.
-c**4*(c - 1)
Factor 0 + 2/5*p**2 - 2/5*p.
2*p*(p - 1)/5
Let y(q) = -116*q**2 - 204*q - 64. Let b(m) = -23*m**2 - 41*m - 13. Let l(i) = -24*b(i) + 5*y(i). Suppose l(w) = 0. Calculate w.
-1, -2/7
Let t(o) be the second derivative of -5*o - 2/3*o**3 + 0 - 2*o**2 - 1/12*o**4. Let t(g) = 0. What is g?
-2
Let d(i) = i**3 - 8*i**2 + 6*i + 6. Let h be d(7). Let a be (h + -2)/(-2 + 1). Factor -n**a - n**3 - 5*n**2 + 3*n**2.
-2*n**2*(n + 1)
Let d(a) = a**2 + 6*a - 7. Let q be d(-7). Let r = q - -1. Find l such that l**4 + 2*l**3 - 5*l**2 - 2*l + 2*l**2 + 3*l**2 - r = 0.
-1, 1
Let p(t) = 9*t**2 - 12*t - 6. Let d(l) = -8*l**2 + 11*l + 6. Let w(n) = -3*d(n) - 2*p(n). Factor w(q).
3*(q - 2)*(2*q + 1)
Let q be 4 + (5 - 4)*-1. Let a(b) be the third derivative of b**2 + 1/60*b**4 + 0*b - 1/150*b**5 + 2/15*b**q + 0. Factor a(z).
-2*(z - 2)*(z + 1)/5
Let j(h) be the second derivative of -h**7/112 + h**6/80 + 19*h. Factor j(g).
-3*g**4*(g - 1)/8
Let d(j) be the second derivative of -j**7/4620 - j**6/1980 + 5*j**3/6 - 2*j. Let p(k) be the second derivative of d(k). Factor p(v).
-2*v**2*(v + 1)/11
Let l(m) be the first derivative of m**5/5 - m**4/4 - m**3/4 + m**2/4 + m/4 - 8. Factor l(w).
(w - 1)**2*(2*w + 1)**2/4
Let y(p) be the third derivative of -p**5/15 - p**4/6 - 3*p**2. Factor y(n).
-4*n*(n + 1)
Let y(q) be the third derivative of -q**6/600 + q**5/300 + q**4/120 - q**3/30 + 9*q**2. Factor y(i).
-(i - 1)**2*(i + 1)/5
Suppose 5*v - 13 = 2. Let h be 4/(-6)*-6 - 1. Let 5*f**3 - 4*f**2 - 3*f**v + f**h + 2 - f = 0. Calculate f.
-2/3, 1
Let h be (12/8)/(3/(-22)). Let r(d) = -7*d**2 + 8*d - 7. Let q(a) = -13*a**2 + 7*a + 8*a - 4 - 9. Let o(k) = h*r(k) + 6*q(k). Factor o(x).
-(x - 1)**2
Let h = 15 + -13. Suppose -5*v - h*w + 7 = -0, -4*v = 3*w. Factor -r**2 + 1/4 + 1/2*r - 1/2*r**v + 3/4*r**4.
(r - 1)**2*(r + 1)*(3*r + 1)/4
Let i = 25 - 21. Let m(d) be the third derivative of 0*d**3 + 0 + 0*d**i + 0*d - 1/135*d**5 + 2*d**2 + 1/108*d**6. Factor m(q).
2*q**2*(5*q - 2)/9
Let p(v) = v**2 - 3*v - 4. Let k(b) = b**2 - 4*b - 5. Let o(f) = -3*k(f) + 4*p(f). Let o(x) = 0. Calculate x.
-1, 1
Let m(n) be the second derivative of 243*n**6/40 + 81*n**5/10 - 3*n**4/2 - 4*n**3 + 2*n**2 + 5*n. Factor m(d).
(3*d + 2)**2*(9*d - 2)**2/4
Suppose -5 - 7 = 2*s. Let b(n) = 4*n**2 - 2*n - 6. Let u(g) = -g**2 - g - 1. Let i(a) = s*u(a) + b(a). Factor i(q).
2*q*(5*q + 2)
Suppose 2*b - 5*o - 35 = 0, 2*b = o + 8 + 7. Suppose 11 = 2*y + b. Factor 1/4*r**y + 1/2*r**4 + 0*r + 0*r**2 + 0 + 1/4*r**5.
r**3*(r + 1)**2/4
Let z = 50 - 84. Let q = -22 - z. Factor q*f**3 + 22*f**2 + 0 - 16*f - 8 + 19*f**3 - f**3.
2*(f + 1)*(3*f - 2)*(5*f + 2)
Let o(z) be the first derivative of -4/3*z + z**3 - 2 + z**2 + 5/24*z**4. Find q such that o(q) = 0.
-2, 2/5
Let a be (-78)/(-12) - (-2)/(-4). Let x(d) = -d**3 - d**2 - d. Let n(j) = -5*j**3 - 18*j**2 + 42*j - 64. Let g(r) = a*x(r) - n(r). Determine z so that g(z) = 0.
4
Let z(i) be the first derivative of -3*i**5/10 + 3*i**4/4 + i**3/2 - 3*i**2/2 + 20. Factor z(p).
-3*p*(p - 2)*(p - 1)*(p + 1)/2
Suppose -11*g**3 - 781 + 2*g**2 + 781 - 7*g**5 + 16*g**4 = 0. Calculate g.
0, 2/7, 1
Let q(i) be the second derivative of i**5/50 - i**4/30 - i**3/15 + i**2/5 + 7*i. Let q(w) = 0. Calculate w.
-1, 1
Let q(p) = -p + 16. Let g be q(13). Solve 3/2*m**2 + g*m**3 - 3/2*m - 3/4 - 3/2*m**5 - 3/4*m**4 = 0.
-1, -1/2, 1
Suppose -5*d + 13 - 3 = 0. Factor -5 - 3*n**3 + 2*n**3 + 3 + 0 - 4*n**d - 5*n.
-(n + 1)**2*(n + 2)
Let i(f) be the second derivative of 13/10*f**5 + 0 - 7/30*f**6 + 2/3*f**3 + 2*f + 2*f**2 - 9/4*f**4. Factor i(v).
-(v - 2)*(v - 1)**2*(7*v + 2)
Let u(c) be the third derivative of -c**7/70 + c**6/8 - 2*c**5/5 + c**4/2 - c**2 - 11*c. Factor u(q).
-3*q*(q - 2)**2*(q - 1)
Let p(b) = -2*b**2 + 20*b - 28. Let i(n) = 6*n**2 - 59*n + 85. Let w(x) = 4*i(x) + 11*p(x). Find u, given that w(u) = 0.
4
Let s(k) be the second derivative of -k**8/8960 - k**7/3360 + k**6/960 + k**5/160 + k**4/4 - 7*k. Let n(q) be the third derivative of s(q). Factor n(t).
-3*(t - 1)*(t + 1)**2/4
Factor -10*v - 6*v**2 + 6*v**3 - 8*v + 20*v - 2*v**4.
-2*v*(v - 1)**3
Factor 0*c**2 - 3*c**2 + c**2 + 0*c**3 - 2*c**3.
-2*c**2*(c + 1)
Determine d, given that 0 - 5/2*d**4 + 5/2*d**2 - 5*d**3 + 5*d = 0.
-2, -1, 0, 1
Let x be (-28)/(-6)*(-174)/(-1421). What is g in 18/7*g**2 + 2/7 - 10/7*g + x*g**4 - 2*g**3 = 0?
1/2, 1
Suppose 5*c - 8 = c. Let u be (c + -5 - -1)*-31. Solve -52*p**4 + 6*p**3 - 8*p + 40*p**2 - 88*p**4 + u*p**5 - 75*p**5 - 85*p**5 = 0 for p.
-1, 0, 2/7
Suppose 0 = 4*b + 6 + 2. Let u be -2 + -1 + 5 + b. Find p, given that 1/4*p**2 + 0 + u*p + 1/4*p**3 = 0.
-1, 0
Let m be ((-3)/1)/((-6)/4). What is k in 0*k + 0 + 2/5*k**m = 0?
0
Factor 7*a**2 - 2*a**2 - 3*a**2 + 3 + 1 + 6*a.
2*(a + 1)*(a + 2)
Let z = -190 - -1332/7. Factor -2/7*p**2 + 0*p + 4/7*p**3 + 0 - z*p**4.
-2*p**2*(p - 1)**2/7
Suppose -4*i - 11 - 33 = -4*f, 2*f - 4*i - 28 = 0. Factor -2*v**3 - f*v**2 + v**3 + 6*v**2 - v.
-v*(v + 1)**2
Let p(g) be the third derivative of -g**6/420 + g**5/105 - g**4/84 - 21*g**2. Factor p(v).
-2*v*(v - 1)**2/7
Suppose 12 = 2*a + 4. Solve 2*w**2 + 2*w - a*w**2 - 3*w + w**3 + 2 + 0*w = 0.
-1, 1, 2
Factor -5*l**3 + 4 - 3*l**2 - 23*l**4 + 4*l + 22*l**4 + l.
-(l - 1)*(l + 1)**2*(l + 4)
Suppose 4*y + 4 = 12. Let n(l) be the third derivative of 2/15*l**5 - 2*l**y + 0 + 0*l - 5/24*l**4 + 1/6*l**3 - 1/30*l**6. Factor n(k).
-(k - 1)*(2*k - 1)**2
Let b be (1 + -3)/((-4)/(-14)). Let k = b - -9. Factor -s**2 - 2*s**3 - 4*s**2 + 8 - s**k.
-2*(s - 1)*(s + 2)**2
Let m(y) be the third derivative of -3/5*y**3 + 0*y + 0 - 3*y**2 + 1/10*y**4 - 1/150*y**5. Suppose m(a) = 0. What is a?
3
Let k = -15 - -11. Let t(a) = a**2 - 5 + 0 + 4*a + 2*a**2. Let m(s) = s**2 + 2*s - 2. Let d(r) = k*t(r) + 10*m(r). Find y such that d(y) = 0.
0, 2
Factor -1588*c**2 + 4*c**4 - 144 - 72*c**3 + 100*c**3 + 428*c**3 + 912*c - 40*c**4.
-4*(c - 6)**2*(3*c - 1)**2
Let r(n) be the third derivative of n**5/150 + n**4/30 + n**3/15 - 30*n**2. What is x in r(x) = 0?
-1
Let t be 17/3 + (-4)/6. Let m(u) be the third derivative of -1/240*u**t - 1/96*u**4 + 1/12*u**3 + 0 + 0*u + 2*u**2. Factor m(v).
-(v - 1)*(v + 2)/4
Let f = -272/3 - -91. Factor 1/3 + q**2 + q + f*q**3.
(q + 1)**3/3
Let i = -8 + 13. Let s(w) be the third derivative of -w**2 + 3/2*w**4 + 0 + 0*w - 29/30*w**i + 13/40*w**6 - 3/70*w**7 - 4/3*w**3. Let s(d) = 0. Calculate d.
2/3, 1, 2
Suppose 22 = m - 3. Let a be 1/5 + 70/m. Determine f so that -1/2*f**2 - 1/2*f + 0 + 1/2*f**a + 1/2*f**4 = 0.
-1, 0, 1
Suppose -22 = -7*j - 4*j. Factor 0*z + 0 - 1/2*z**j.
-z**2/2
Let s(v) be the second derivative of -3/2*v**2 + 3/2*v**3 + 0 + v**4 - 4*v. Factor s(a).
3*(a + 1)*(4*a - 1)
Let j(m) be the second derivative of -5*m**4/6 + 17*m**3/3 - 6*m**2 - 16*m. Factor j(g).
-2*(g - 3)*(5*g - 2)
Let d(m) be the third derivative of 0*m**4 + 0*m + m**2 - 1/40*m**5 + 0 - 1/80*m**6 + 0*m**3. Factor d(s).
-3*s**2*(s + 1)/2
Suppose -5*a = -5*u - 15, 3*u + 0*u - 5*a + 19 = 0. Let i(c) be the first derivative of 0*c 