m**2 - 3/5*m + 0.
3*m*(m - 1)/5
Let b be (-72)/(-33) + 2/(-11). Let d be 168/63 + 2/(-1). Factor -2/3*m - d*m**b + 2/3*m**3 + 2/3.
2*(m - 1)**2*(m + 1)/3
Let c(y) be the first derivative of -4*y**3/3 + 16*y**2 - 48*y - 58. Factor c(i).
-4*(i - 6)*(i - 2)
Let r(y) be the third derivative of -y**6/660 + y**5/165 - 35*y**2. Factor r(o).
-2*o**2*(o - 2)/11
Let r be ((-3)/(-4) - 0)/(42/56). Solve r + 4*z**2 - z**3 - 7/2*z - z**4 + 1/2*z**5 = 0.
-2, 1
Factor -2*w**3 + 2*w**2 - w**2 + w - 1 - 4*w**3 + 5*w**3.
-(w - 1)**2*(w + 1)
Suppose -3*u - 12 = -7*u. Determine n, given that -3*n**2 + 2*n**3 - 3*n**3 + 0*n**3 - 5*n**3 + 6*n + u = 0.
-1, -1/2, 1
Suppose 0 = 3*k - 13 + 1, -3*k = -2*t - 14. Let g be (((-70)/9)/5)/t. Factor -g*m - 2/3*m**3 + 4/9 + 16/9*m**2.
-2*(m - 1)**2*(3*m - 2)/9
Let a(c) = -2*c**5 - 3*c**3 + 7*c**2 - 9*c. Let w(q) = q**5 + q**3 - 3*q**2 + 4*q. Let x = -11 - -4. Let y(t) = x*w(t) - 3*a(t). What is s in y(s) = 0?
-1, 0, 1
Factor 0*o - 2/17*o**5 + 4/17*o**3 + 0 + 2/17*o**4 + 0*o**2.
-2*o**3*(o - 2)*(o + 1)/17
Let m(j) be the first derivative of -2/3*j**2 + 0*j - 23/4*j**4 + 28/9*j**3 - 25/18*j**6 + 14/3*j**5 - 1. Factor m(c).
-c*(c - 1)**2*(5*c - 2)**2/3
Suppose 2*k - 3 = 7. Suppose k*i - 6 = 3*z - 4*z, -2*i = 4*z + 12. Factor y**2 - y + i + 5*y + 2.
(y + 2)**2
Let c(p) be the first derivative of -1/3*p**3 - 1/2*p**2 + 2*p - 6. Factor c(i).
-(i - 1)*(i + 2)
Factor 0*h**3 - 3/2 - 3/2*h**4 + 3*h**2 + 0*h.
-3*(h - 1)**2*(h + 1)**2/2
Let o be 91/(-14)*(4/(-13))/4. Factor 1/2*b**2 + 0 + 1/2*b**3 - 1/2*b**4 - o*b.
-b*(b - 1)**2*(b + 1)/2
Let x be (-2 + 3 - 0) + 4. Suppose -x*q + q = 0. Factor q*n**2 - 1/3*n**3 + 0*n + 1/3*n**5 + 0 + 0*n**4.
n**3*(n - 1)*(n + 1)/3
Let j = -114578/35 - -3274. Let h = 2/35 + j. Factor 2/5 - h*d**2 + 0*d.
-2*(d - 1)*(d + 1)/5
Let q(o) be the second derivative of o**8/8400 + o**7/6300 - o**6/900 - o**5/300 - o**4/4 + 6*o. Let t(f) be the third derivative of q(f). Factor t(i).
2*(i - 1)*(i + 1)*(2*i + 1)/5
Solve -2/7*g**4 - 8/7*g - 16/7*g**2 - 10/7*g**3 + 0 = 0.
-2, -1, 0
Let a(x) be the third derivative of 1/2*x**3 + 1/10*x**6 - 7*x**2 + 3/10*x**5 + 0*x + 1/2*x**4 + 1/70*x**7 + 0. Factor a(r).
3*(r + 1)**4
Let y(i) be the first derivative of 1/2*i**4 + 0*i - 3 + 0*i**2 + 2/3*i**3. Factor y(v).
2*v**2*(v + 1)
Let d = 5 + -3. Let i(t) = 11*t**3 + 35*t**2 + 19*t + 3. Let u(y) = -y**3 - y**2. Let k(v) = d*u(v) + i(v). Solve k(l) = 0.
-3, -1/3
Let h = -1 + 2. Let s(k) be the first derivative of 2*k + h + 2*k**2 + 2/3*k**3. Factor s(u).
2*(u + 1)**2
Let j(n) be the third derivative of -n**2 - 1/330*n**5 + 0*n - 1/33*n**3 + 0 - 1/66*n**4. Let j(a) = 0. Calculate a.
-1
Let t = 39 - 36. Find q such that 109/4*q**t + 49/4*q**5 + 0 + 9*q**2 + q + 63/2*q**4 = 0.
-1, -2/7, 0
Let a(u) = 13*u**2 - u. Let c(x) = -x + 5. Let w be c(0). Let z = -7 + w. Let b(l) = 2*l**2. Let d(g) = z*a(g) + 18*b(g). Suppose d(v) = 0. What is v?
-1/5, 0
Let k(g) be the third derivative of g**11/110880 - g**9/20160 - g**5/12 - 2*g**2. Let p(s) be the third derivative of k(s). Factor p(b).
3*b**3*(b - 1)*(b + 1)
Let k(d) be the first derivative of 2*d**3/9 + 2*d**2 + 6*d - 16. Let k(h) = 0. What is h?
-3
Let s(d) be the second derivative of d**3/6 + 3*d**2/2 + d. Let j be s(-3). Factor 0 + 2/9*g**2 - 2/9*g**3 + 2/9*g**5 - 2/9*g**4 + j*g.
2*g**2*(g - 1)**2*(g + 1)/9
Solve 4/5 + 8/5*f**2 + 2*f + 2/5*f**3 = 0 for f.
-2, -1
Suppose 3*g**4 - 9*g**2 + 6*g + 28603 - 28603 = 0. Calculate g.
-2, 0, 1
Factor -2/9*x**3 + 0*x + 0*x**2 + 0 + 2/9*x**5 + 0*x**4.
2*x**3*(x - 1)*(x + 1)/9
Factor 2*j**2 + 0 + 4/5*j**3 + 4/5*j.
2*j*(j + 2)*(2*j + 1)/5
Let r(u) be the second derivative of -25*u**7/126 + u**6/2 - 2*u**5/5 + u**4/9 - 2*u - 5. Factor r(j).
-j**2*(j - 1)*(5*j - 2)**2/3
Factor -2/3*q**4 - 4/9 + 2*q - 10/3*q**2 + 22/9*q**3.
-2*(q - 1)**3*(3*q - 2)/9
Suppose 5*h - u = -4*u + 3, -2*h = 3*u + 6. Let a(k) be the first derivative of -k**3 - 6 + k**3 - 6*k**h - 4*k + 3 - 11*k**2. Solve a(d) = 0 for d.
-1, -2/9
Let s(m) = -50460*m**4 + 27152*m**3 - 3016*m**2 + 88*m. Let y(z) = 16820*z**4 - 9051*z**3 + 1005*z**2 - 29*z. Let o(p) = -3*s(p) - 8*y(p). Factor o(x).
4*x*(5*x - 2)*(29*x - 2)**2
Find b, given that 12*b + 57 + 61 - 136 - 2*b**2 = 0.
3
Let m(g) = -g**2 - 5. Let w(a) = -4*a**2 - 3*a - 11. Let y(i) = 5*i**2 + 4*i + 12. Let t(s) = -3*w(s) - 2*y(s). Let z(j) = -10*m(j) - 6*t(j). Factor z(n).
-2*(n + 1)*(n + 2)
Suppose -4*r = -4*b - 36, 3*r + b + 1 = 2*r. Suppose -n + 5*g + 7 = -2*n, 0 = 2*g + 4. Factor 0*h - 6/5*h**r + 0 - 4/5*h**2 - 2*h**n.
-2*h**2*(h + 1)*(3*h + 2)/5
Determine m, given that -1/4*m**2 - 25/4 + 5/2*m = 0.
5
Let u = -45 + 47. Suppose -2/7*p - 2/7*p**u + 0 = 0. What is p?
-1, 0
Let p = -1/33 + 23/33. Factor p*a**3 + 1/3*a**4 + 0*a**2 - 2/3*a - 1/3.
(a - 1)*(a + 1)**3/3
Suppose -5*j = -3*x - 4, -4*j = -x - 7 + 1. Factor -w**2 - w**2 + 5*w**2 - w**2 - x*w**4.
-2*w**2*(w - 1)*(w + 1)
Let d(x) = 9*x**3 - 29 + 39*x**4 + 30*x**2 + 5 - 45*x**2 - 9*x. Let w(q) = 8*q**4 + 2*q**3 - 3*q**2 - 2*q - 5. Let y(u) = 5*d(u) - 24*w(u). Factor y(t).
3*t*(t - 1)**2*(t + 1)
Suppose 28 = 10*w - 22. Let z(n) be the third derivative of 1/180*n**6 + 0*n**4 + 0 + 1/105*n**7 - 1/45*n**w + 2*n**2 + 0*n + 0*n**3. Let z(k) = 0. Calculate k.
-1, 0, 2/3
Solve 18/7*k + 2/7*k**3 + 0 + 12/7*k**2 = 0 for k.
-3, 0
Let k(j) be the first derivative of -j**7/420 + j**6/270 + j**5/180 - 4*j**3/3 - 3. Let a(g) be the third derivative of k(g). Solve a(v) = 0.
-1/3, 0, 1
Let z(m) = 7 - 4*m**3 - 3*m**2 + 12*m - 3*m - 6*m**2. Let k(b) = 2*b**3 + 5*b**2 - 5*b - 4. Let a = -11 + 15. Let p(q) = a*z(q) + 7*k(q). Factor p(h).
-h*(h + 1)*(2*h - 1)
Let l(d) = -d**2 - 4*d - 1. Suppose o - 1 + 4 = 0. Let j be l(o). Factor 9*i**3 + j*i**2 - 8*i + i**2 - 5*i**2 + 4 - i**2.
(i + 1)*(3*i - 2)**2
Let z = -19 + 36. Suppose -3*i + z = 2*s, s + 2*s - 3 = 3*i. Factor -18/7*h - 10/7*h**i - 4/7 - 24/7*h**2.
-2*(h + 1)**2*(5*h + 2)/7
Let o(j) be the first derivative of j**4/3 + 2*j**3/9 - j**2/3 - 2. Let o(p) = 0. Calculate p.
-1, 0, 1/2
Let v(l) be the first derivative of -l**5/30 - l**4/12 + 2*l**3/3 - l**2/2 + 2. Let y(t) be the second derivative of v(t). Factor y(i).
-2*(i - 1)*(i + 2)
Let t(c) be the second derivative of -1/14*c**7 + 1/2*c**4 + 0 + 3/10*c**5 + 6*c - 3/2*c**2 - 1/10*c**6 - 1/2*c**3. Factor t(f).
-3*(f - 1)**2*(f + 1)**3
Let p = 27 - 35. Let q = p + 12. Factor -3*v - 27/4*v**5 - 45/2*v**q - 15*v**2 - 111/4*v**3 + 0.
-3*v*(v + 1)**2*(3*v + 2)**2/4
Suppose -v + 4 = w + 2*w, 3*w = 0. Let f = v - 1. Suppose 0*p + 0*p**f + 1/2*p**4 + 0*p**2 + 0 = 0. Calculate p.
0
Suppose 3*x - 3 - 10 = j, x + 2*j = -5. What is r in 0*r**3 - 3*r**3 + 4 - 2 + 1 + 3*r - x*r**2 = 0?
-1, 1
Let j(r) be the third derivative of 2*r**2 - 1/30*r**4 + 0*r**3 - 1/105*r**7 + 0 + 1/30*r**5 - 1/120*r**8 + 0*r + 3/100*r**6. What is g in j(g) = 0?
-1, 0, 2/7, 1
Let g(o) be the first derivative of 3*o**4/16 - 9*o**2/8 - 3*o/2 - 1. Let g(n) = 0. What is n?
-1, 2
Suppose -4*r - 5*d = -15, 12 = -3*r + 4*d - 0*d. Let r*x**2 - 2*x**2 - x**3 + 1 - 3 + x + 4*x**2 = 0. What is x?
-1, 1, 2
Let c(u) be the second derivative of u**8/6720 - u**6/240 - u**5/60 + u**4/12 + 7*u. Let i(v) be the third derivative of c(v). Let i(m) = 0. Calculate m.
-1, 2
Suppose -2*z + 0*z = 2. Let b = z + 4. Factor -m + 2*m + 2*m**2 - b*m**2.
-m*(m - 1)
Let z be ((-2)/(-55))/(8*(-3)/(-240)). Suppose 6/11 - 2/11*t**2 - z*t = 0. Calculate t.
-3, 1
Let f(c) = -c**4 - 8*c**3 - 9*c. Let k(w) = -6*w + 6. Let b be k(-5). Let m(h) = -h**3 - h. Let a(s) = b*m(s) - 4*f(s). Factor a(d).
4*d**3*(d - 1)
Let n(t) be the second derivative of 7/10*t**5 + 2/15*t**6 + 3/2*t**4 + 5/3*t**3 + 0 + t**2 + 2*t. Find s such that n(s) = 0.
-1, -1/2
Determine r so that -12*r**3 + 2*r**2 + 4/3*r + 16/3*r**4 + 0 = 0.
-1/4, 0, 1/2, 2
Let f(x) = -18*x**5 + 16*x**3 + 4*x**2 + 6. Let q(w) = 36*w**5 - w**4 - 33*w**3 - 9*w**2 - 13. Let l(i) = 13*f(i) + 6*q(i). Factor l(d).
-2*d**2*(d + 1)*(3*d - 1)**2
Let t(v) be the third derivative of -1/350*v**7 + 4*v**2 + 1/50*v**6 + 1/10*v**4 + 0*v + 0 - 1/10*v**3 - 3/50*v**5. Find p, given that t(p) = 0.
1
Suppose 10*g - 5*g - 10 = -4*t, -3*t - g + 13 = 0. Determine z, given that -8/9*z**t + 2*z**4 - 4/3*z**3 + 0 + 0*z + 2/9*z**2 = 0.
0, 1/4, 1
Suppose