s(w).
3*(w - 2)*(w + 3)
Let m = -460 + 4142/9. What is o in m + 2/3*o**2 + 2/9*o**3 + 2/3*o = 0?
-1
Let v(d) = -d**2 + d. Let h = 12 - 11. Let k(n) = -n + 1. Let m(q) = h*k(q) - 4*v(q). Factor m(o).
(o - 1)*(4*o - 1)
Let g(m) be the third derivative of 0*m**4 + 0*m + 1/240*m**6 + 0 + 0*m**3 - 3*m**2 - 1/240*m**5 - 1/840*m**7. Factor g(y).
-y**2*(y - 1)**2/4
Let f = -400/3 + 134. Factor f*z**2 + 0 - 2/3*z.
2*z*(z - 1)/3
Let r be 14/(-2*1/(-4)). Let f = r + -55/2. Suppose 0*d - f*d**2 + 0 - 1/4*d**3 = 0. What is d?
-2, 0
Let t be -2 + (-637)/(-195) + 4/(-6). Let i(q) be the first derivative of -1/2*q**4 + 2 - t*q**5 + 0*q**3 + 0*q**2 + 0*q - 1/6*q**6. Let i(c) = 0. Calculate c.
-2, -1, 0
Factor 8/3*w**4 + 0 - 4/3*w + 0*w**3 + 4/3*w**5 - 8/3*w**2.
4*w*(w - 1)*(w + 1)**3/3
Let p(n) be the second derivative of -n + 0*n**4 + 1/10*n**5 + 0*n**3 - 1/15*n**6 + 0 + 0*n**2. Solve p(y) = 0 for y.
0, 1
Let z be ((-12)/(-52))/(4/(-16) - -1). Suppose z - 6/13*l + 2/13*l**2 = 0. Calculate l.
1, 2
Let o be (-3)/(-4) - 1098/(-72). Factor -2*m**5 - 5 + 10*m**4 + 5 + 8*m**2 - o*m**3.
-2*m**2*(m - 2)**2*(m - 1)
Let x = 11/2 - 16/3. Factor -1/6*l**5 + 0*l**4 + 0*l**2 - x*l + 1/3*l**3 + 0.
-l*(l - 1)**2*(l + 1)**2/6
Let f(c) be the second derivative of -c**5/230 - c**4/46 + 4*c**2/23 - 6*c. Find y such that f(y) = 0.
-2, 1
Let l(u) be the second derivative of u + 1/3*u**3 - 1/2*u**2 - 1/30*u**5 + 0*u**4 + 0. Let j(x) be the first derivative of l(x). Factor j(f).
-2*(f - 1)*(f + 1)
Let a(j) be the third derivative of 1/60*j**5 + 0*j**3 + 0 - 1/480*j**6 + 0*j - 1/24*j**4 - j**2. Factor a(z).
-z*(z - 2)**2/4
Let m(w) = w + 1. Let y be m(-6). Let p(b) = -b**2 - 5*b + 3. Let r be p(y). What is k in k**2 + k**2 + 3*k**4 - r*k - 6*k**3 + 9*k - 4 - k**4 = 0?
-1, 1, 2
Let b(z) be the second derivative of z**6/60 - z**4/12 - z**2/2 - 3*z. Let g(s) be the first derivative of b(s). Factor g(o).
2*o*(o - 1)*(o + 1)
Suppose -6*a + 4*a + 12 = 0. Let l(x) be the first derivative of -1/2*x**4 - 2/3*x**3 + 1/6*x**a + 1/5*x**5 + 1/2*x**2 + x - 2. Let l(v) = 0. Calculate v.
-1, 1
Let d = -8 + 33/4. Suppose 1/4*q**3 - d*q + 1/4 - 1/4*q**2 = 0. Calculate q.
-1, 1
Let s(t) = -4*t**2 - 4*t - 13. Let v(o) = -2*o**2 - 2*o - 6. Let u(b) = -6*s(b) + 13*v(b). Solve u(n) = 0.
-1, 0
Let i(h) be the second derivative of h**5/150 + h**4/15 + 4*h**3/15 + h**2 - 8*h. Let a(z) be the first derivative of i(z). Factor a(x).
2*(x + 2)**2/5
Let o(u) = -u**2 - 3*u + 6. Let c be o(-4). Let -k**4 + 0 - 1/3*k**c - 5/3*k**3 + 1/3*k = 0. What is k?
-1, 0, 1/3
Factor -9/8*x - 3/8*x**2 + 0.
-3*x*(x + 3)/8
Let a = 277/4 + -69. Determine i, given that 3/4*i**2 - 1/2*i - a*i**4 + 0 + 0*i**3 = 0.
-2, 0, 1
Let p(u) be the third derivative of u**8/2016 + u**7/1260 - 3*u**2. Let p(h) = 0. Calculate h.
-1, 0
Let d(g) be the second derivative of g**4/6 + 2*g**3/3 + g**2 - 15*g. Factor d(p).
2*(p + 1)**2
Let t(k) be the second derivative of k**4/20 - 13*k**3/5 + 507*k**2/10 - 25*k. Let t(v) = 0. Calculate v.
13
Let o = 1 - -2. Factor 0 + 2/3*a**2 - 2/3*a**4 + 2/3*a**o - 2/3*a**5 + 0*a.
-2*a**2*(a - 1)*(a + 1)**2/3
Let y be ((-12)/10)/(6/15). Let w be -2*6/4 - y. Factor w - 2*x**5 + 22/3*x**4 - 10*x**3 - 4/3*x + 6*x**2.
-2*x*(x - 1)**3*(3*x - 2)/3
Let c = 14 - 10. Let v(y) be the third derivative of -1/30*y**5 - y**2 + 0 - 1/12*y**c + 0*y**3 + 0*y. Find h, given that v(h) = 0.
-1, 0
Let q(y) = 7*y**3 + y**2 - 7*y - 1. Let s(b) = 20*b**3 + 3*b**2 - 20*b - 3. Let c(x) = 17*q(x) - 6*s(x). Factor c(l).
-(l - 1)*(l + 1)**2
Let k(x) = x + 9. Let l be (7/2)/((-4)/8). Let o be k(l). Factor 2*q + 2*q**o - 6*q - 4*q**4 + 2*q**2 - q**3 + 5*q.
-q*(q - 1)*(q + 1)*(4*q + 1)
Let z(j) = j**3 + j**2 - j + 8. Suppose -2*q - q = 0. Let s be z(q). Let 3*i**3 - 3*i**2 - s - 4*i**3 - 12*i - 3*i**2 = 0. Calculate i.
-2
Suppose -c = -5*m + 3*c + 23, -25 = -5*m + 5*c. Suppose -m*o + 4*o = 2. Factor 6 + t**2 - 7 + 0*t**o.
(t - 1)*(t + 1)
Let n(q) be the second derivative of -q**5/100 + q**4/15 - 2*q**3/15 - 8*q. Factor n(o).
-o*(o - 2)**2/5
Let i be (6 + -5)/(9/(-6) - -2). Let 2/11*o - 2/11*o**i + 4/11 = 0. Calculate o.
-1, 2
Suppose -4*a + 26 = 2*c, -2*a + 16 = 2*a. Suppose -12 = -4*m - 2*v, -c*m - 3*v + 20 = 2*v. Suppose 6*s**2 + m - 3*s**2 - 3*s - 2*s**2 = 0. Calculate s.
1, 2
Let g(a) be the second derivative of a**4/18 - 2*a**3/9 + a**2/3 + 7*a. Factor g(q).
2*(q - 1)**2/3
Let t(k) = k**2 + 3*k - 5. Let d be t(-5). What is o in 4*o - 2*o**3 + 2*o - o**4 - 1 - d*o + 2*o**2 + o**5 = 0?
-1, 1
Let r(y) be the third derivative of 1/84*y**4 + 0*y**3 + 8*y**2 + 0 - 1/84*y**6 + 1/245*y**7 + 1/210*y**5 + 0*y. Let r(k) = 0. Calculate k.
-1/3, 0, 1
Let l(c) be the first derivative of -2*c**3/33 - 3*c**2/11 - 6. Factor l(n).
-2*n*(n + 3)/11
Factor 4/3 + 2/3*h**3 + 4/3*h - 7/3*h**2.
(h - 2)**2*(2*h + 1)/3
Factor -2/9*c**3 + 0*c**2 + 4/9*c**4 + 0*c - 2/9*c**5 + 0.
-2*c**3*(c - 1)**2/9
Let d(t) be the first derivative of 1/48*t**4 + 0*t**2 + 4*t - 4 - 1/24*t**3. Let o(y) be the first derivative of d(y). Factor o(n).
n*(n - 1)/4
Let j(u) be the third derivative of -2/105*u**7 + 0*u**3 + 6*u**2 + 1/60*u**6 + 0*u + 0 + 0*u**4 + 1/30*u**5. Let j(i) = 0. Calculate i.
-1/2, 0, 1
Let v(g) = g**3 + 2*g**2 - 11*g - 10. Let m be v(-4). Determine w so that 0 - 10/3*w**2 + 2/3*w**4 + 2/3*w**5 - m*w**3 - 4/3*w = 0.
-1, 0, 2
Let o(k) = -3*k**2 + 24*k - 21. Let h(r) = r**2 + 6*r - 7. Let c be h(-7). Suppose 2*b = -c - 2. Let d(i) = -i + 1. Let a(s) = b*o(s) - 15*d(s). Solve a(m) = 0.
1, 2
Let k(u) be the third derivative of u**8/588 + 13*u**7/1470 - u**6/168 - 5*u**5/42 - 11*u**4/42 - 4*u**3/21 + 11*u**2. Determine b so that k(b) = 0.
-2, -1, -1/4, 2
Find q such that 0 + 0*q + 1/3*q**3 + 5/3*q**5 + 2/3*q**2 - 8/3*q**4 = 0.
-2/5, 0, 1
Let j(w) be the second derivative of -w**4/20 - w**3/10 + 15*w. Factor j(v).
-3*v*(v + 1)/5
Let i(c) = c**2 + 4. Let y be i(0). Suppose -2*n + y = -n. Factor -2*k**3 + 7*k - k**3 - n*k.
-3*k*(k - 1)*(k + 1)
Let u(z) be the second derivative of -z**4/84 + z**3/7 + z**2/2 - 17*z. What is l in u(l) = 0?
-1, 7
Let t(n) be the third derivative of 0*n - 4*n**2 + 1/60*n**4 + 0*n**3 - 1/300*n**6 + 0 + 0*n**5. Suppose t(p) = 0. What is p?
-1, 0, 1
Let v(o) be the second derivative of -o**5/80 + o**4/48 - 16*o. Solve v(l) = 0.
0, 1
Let p = -88 + 90. Let d(a) be the second derivative of 4/3*a**3 - 4*a**p + 0 - 1/6*a**4 + a. Suppose d(o) = 0. What is o?
2
Suppose -1 - 1 = -4*w + 2*o, 0 = -5*w + o + 10. Let a(s) be the second derivative of -2/9*s**2 + 11/27*s**w + 0 - 3*s - 1/6*s**4. Factor a(v).
-2*(v - 1)*(9*v - 2)/9
Let g(k) be the second derivative of -2*k**7/21 + k**5/5 - 10*k. Let g(n) = 0. What is n?
-1, 0, 1
Let k = -11/1636 + -47845/426996. Let f = 3/29 - k. Factor 0 - f*b**4 - 2/3*b**2 + 2/3*b**3 + 2/9*b.
-2*b*(b - 1)**3/9
Let 1/3 + 0*u - 1/3*u**2 = 0. Calculate u.
-1, 1
Factor -2 - 49/8*p**2 - 7*p.
-(7*p + 4)**2/8
Let a(y) = -2*y**4 - 10*y**3 - 9*y**2 - 8*y - 4. Suppose 0*z + 9 = 3*z. Let l(t) = t**3 + t + 1. Let v(u) = z*l(u) + a(u). Factor v(o).
-(o + 1)**3*(2*o + 1)
Let o(m) be the third derivative of -1/180*m**5 + 0*m + 0 + 0*m**3 + 0*m**4 + m**2 - 1/360*m**6. Solve o(p) = 0 for p.
-1, 0
Let t(w) be the first derivative of w**6/6 - 2*w**5/5 + w**4/4 - 6. Let t(v) = 0. Calculate v.
0, 1
Let b = 73/366 - 2/61. Let v(c) be the second derivative of 0*c**4 + 0 - 1/20*c**5 + 0*c**2 + b*c**3 - c. Let v(d) = 0. Calculate d.
-1, 0, 1
Let u(v) = -2*v - 17. Let h be u(-10). Suppose 4*a - 9 = h*w, -2*a - 6 = 4*w + 6. Factor a + 2/7*s**2 + 4/7*s - 2/7*s**3.
-2*s*(s - 2)*(s + 1)/7
Let o(p) = -4*p**2 - 15*p - 4. Suppose -5*j - 47 = 2*i - 3*i, j - 2*i + 13 = 0. Let f(t) = 15*t**2 + 60*t + 15. Let c(u) = j*o(u) - 2*f(u). Factor c(k).
3*(k + 2)*(2*k + 1)
Let v be (2/4)/((-1)/(-6)). Let m = 8 + -6. Factor -3*p**m - 3*p**2 + 3*p**2 - 2*p + v*p.
-p*(3*p - 1)
Let u(f) = -f**3 - 8*f**2 + 22*f + 22. Let a be u(-10). Determine m, given that 1/3*m - 1/6*m**a + 0 = 0.
0, 2
Find y such that -36*y**3 + 46*y + 3 - 16*y**4 + 20*y**3 - 68*y**2 + 2*y**5 + 64*y**3 - 15 = 0.
1, 2, 3
Let i be (-1 - -2)/((-2)/(-18)). Suppose 4*c - i = -1. Factor 2*g**4 - 3*g**5 + 4*g**5 - c*g**2 + 2*g**3 - 3*g**5.
-2*g**2*(g - 1)**2*(g + 1)
Let c = 39/2 + -113/6. Factor -1/3*z**2 + c + 1/3*