uppose -3*m = v - 2 - 1, 2*m - v + 3 = 0. Factor 2/5*n**q - 2/5*n**2 + m*n + 0.
2*n**2*(n - 1)/5
Let m be (9/6)/(4/8). Find q such that 48*q**m + 7*q**2 - 6*q**4 + 29*q**2 + 26*q**4 + 8*q = 0.
-1, -2/5, 0
Let y(d) = -d**4 - 6*d**3 + 8*d**2 + 6*d + 7. Let a(b) = -b**4 - 5*b**3 + 7*b**2 + 5*b + 6. Let l be 3*(-4)/(-3) - -2. Let i(u) = l*y(u) - 7*a(u). Factor i(q).
q*(q - 1)**2*(q + 1)
Let k(h) be the first derivative of h**6/90 - 7*h**5/120 - h**4/12 - h**3/3 + 4. Let n(z) be the third derivative of k(z). Suppose n(p) = 0. Calculate p.
-1/4, 2
Let x be ((-25)/10)/(1/(-2)). Suppose 2*p - 5*i = -3*p - 10, -x*i = 4*p - 28. Find d, given that 9/4*d**p + 5/4*d**4 - 1/2 - 1/4*d + 13/4*d**3 = 0.
-1, 2/5
Let s(i) be the third derivative of -i**6/120 - i**5/60 + i**4/24 + i**3/6 + 12*i**2. What is h in s(h) = 0?
-1, 1
Let g be (-12)/(-1 - 2) + 1. Suppose 0*a - a + 4 = -2*u, g*a - u - 2 = 0. Find z, given that a*z + 2/11*z**2 + 0 - 2/11*z**3 = 0.
0, 1
Suppose 0 = 3*t - 4*a + 11, 1 + 13 = 3*t + a. Factor -o**2 - 20*o**4 - 8*o**5 + 0*o**2 + o**2 - 8*o**t.
-4*o**3*(o + 2)*(2*o + 1)
Let 2*o + 10*o + 3*o**3 + 3*o + 6 + 9*o**2 + 3*o**2 = 0. Calculate o.
-2, -1
Factor -25 - 3*p**2 + 5 + 4 - 15*p + 4.
-3*(p + 1)*(p + 4)
Determine h so that 2/7*h**5 - 32/7*h**4 - 608/7*h**2 + 128*h + 200/7*h**3 - 512/7 = 0.
2, 4
Let r(s) be the third derivative of s**6/660 - s**5/165 - s**4/44 - 10*s**2. Factor r(k).
2*k*(k - 3)*(k + 1)/11
Let i(p) be the second derivative of p**6/75 + 2*p**5/25 + p**4/6 + 2*p**3/15 - 5*p. Solve i(u) = 0 for u.
-2, -1, 0
Let w(l) be the second derivative of -l**9/15120 + l**8/3360 - l**7/2520 - l**4/3 - l. Let k(d) be the third derivative of w(d). Factor k(h).
-h**2*(h - 1)**2
Suppose 5*v + y - 44 = -2*y, 5*v + 2*y - 41 = 0. Suppose -4*c - 3 = 5*d + v, -3*c = -5*d + 25. Factor -11/3*i**3 + 0 - 2/3*i**d - 16/3*i**4 + 0*i - 7/3*i**5.
-i**2*(i + 1)**2*(7*i + 2)/3
Let o be (2 - 4)*(-1 + 0). Determine n, given that 0*n**2 - 2*n**2 - 3*n**3 + 2*n + o + 0*n**3 + n**3 = 0.
-1, 1
Let i be (-1)/2 + (-15)/(-6). Let k be (12/(-40))/(i/(-15)). Factor -k + 3/2*q - 1/4*q**2.
-(q - 3)**2/4
Let q(g) = -3 - 3 + 5*g**2 + 0 + 7*g - g**3 + 0*g**3. Let c be q(6). Factor 1/4*n**4 + c + 0*n**2 + 0*n**3 + 0*n.
n**4/4
Let i = -1/4 - -3/4. Let t = -331/4 + 83. Factor 1/4 - i*r + t*r**2.
(r - 1)**2/4
Let s be 6/(-27) - (-141)/27. Let w(y) be the second derivative of 0 + 0*y**2 + 1/20*y**s + 1/30*y**6 + 0*y**3 + 3*y + 0*y**4. Factor w(c).
c**3*(c + 1)
Let h = 95/402 + -14/201. Factor 0 + 1/6*q**3 + 1/3*q**2 + h*q.
q*(q + 1)**2/6
Suppose 0 = -2*r + 3 + 3. Let 3*y - 2*y - 2*y**3 + y**3 + 1 + 0*y**r - y**2 = 0. What is y?
-1, 1
Let c(o) be the first derivative of 4 + 0*o - o**2 - 2/3*o**3. Let c(y) = 0. What is y?
-1, 0
Factor -4*w**3 + 0*w - 3*w**2 + 6*w + w**3.
-3*w*(w - 1)*(w + 2)
Let w be ((-2)/21)/((-25)/175)*3. Factor -w*k**2 + 2*k**4 - 1/2*k + 0 + 1/2*k**3.
k*(k - 1)*(k + 1)*(4*k + 1)/2
Suppose -2 = -3*z + 4. Factor 4*b**5 + 2*b**2 + b**5 - 2*b**4 - z*b**3 - 3*b**5.
2*b**2*(b - 1)**2*(b + 1)
Let y = -4 - -5. What is m in 3 - y + 6 + 24*m + 18*m**2 = 0?
-2/3
Let p be (0/(0 - 1))/1. Factor r**3 + 0*r**3 + p*r**2 + 3*r**2 + r + r.
r*(r + 1)*(r + 2)
Let l(y) be the first derivative of y**7/70 - y**5/20 + 7*y**2/2 - 1. Let o(n) be the second derivative of l(n). Factor o(c).
3*c**2*(c - 1)*(c + 1)
Determine b, given that 2*b**2 - 1 - 3*b + b - 4*b**2 + b**2 = 0.
-1
Suppose 0 + 2/5*l**2 + 0*l - 1/5*l**3 - 2/5*l**4 + 1/5*l**5 = 0. What is l?
-1, 0, 1, 2
Let n(g) be the second derivative of -g**7/21 + g**6/15 + g**5/10 - g**4/6 - g. Factor n(z).
-2*z**2*(z - 1)**2*(z + 1)
Let z be (-114 - -116)/((-10)/(-16)). Factor -z + 4/5*j**2 + 0*j.
4*(j - 2)*(j + 2)/5
Let d(f) be the third derivative of -f**8/13440 + f**7/3360 + f**5/30 + f**2. Let p(i) be the third derivative of d(i). Factor p(x).
-3*x*(x - 1)/2
Let a(t) = -t**2 + 1. Let q(z) = -6*z**2 + 9. Let p(b) = -5*a(b) + q(b). Factor p(v).
-(v - 2)*(v + 2)
Let t(g) be the first derivative of g**4/4 - 8*g**3 + 96*g**2 - 512*g + 73. Factor t(z).
(z - 8)**3
Let v(g) = 37*g**4 + 99*g**3 + 120*g**2 + 56*g + 8. Let m(s) = 18*s**4 + 50*s**3 + 60*s**2 + 28*s + 4. Let c(n) = -5*m(n) + 2*v(n). Let c(d) = 0. Calculate d.
-1, -1/4
Find a such that 1/8*a + 1/8*a**2 + 0 = 0.
-1, 0
Let o(i) be the third derivative of -i**5/10 + 3*i**3/2 + 6*i**2. Let j(p) = 7*p**2 - p - 10. Let r(n) = -3*j(n) - 4*o(n). Determine d, given that r(d) = 0.
-2, 1
Let m(x) = -x + 21. Let o(f) = 1. Let h(s) = m(s) - 6*o(s). Let j be h(8). Factor j*g**4 - 2*g**5 - 16*g**3 + 4*g**4 - g**4 + 8*g**2.
-2*g**2*(g - 2)**2*(g - 1)
Let p(a) be the third derivative of 7/15*a**5 - 1/24*a**4 + 0*a + 0 + 4*a**2 - 1/3*a**3. Factor p(i).
(4*i + 1)*(7*i - 2)
Suppose -j + 5*m = 6*m - 9, 0 = 3*m - 15. Suppose n + 8 = 5*n, 0 = j*y + 5*n - 18. Factor 1 - y*l - 1 + 10*l**2 - 8*l**3.
-2*l*(l - 1)*(4*l - 1)
Let j be 2 + (0/(-1))/3. Let f = 15 - 11. Solve j*p**2 - 3*p - p**2 + f*p = 0.
-1, 0
Let y = 120 + -353/3. Let 0 + 0*x**2 - 2/3*x**3 + 0*x + y*x**4 - 5/3*x**5 = 0. What is x?
0, 2/5, 1
Let l(v) be the first derivative of -1/35*v**5 + 3/28*v**4 + 1/14*v**2 - 1/7*v**3 + 1 + 0*v. Factor l(q).
-q*(q - 1)**3/7
Let g = 16 - 11. Let c(u) be the third derivative of 1/42*u**4 + 0 + 0*u**3 - 1/420*u**6 + 1/210*u**g - u**2 + 0*u. Let c(m) = 0. Calculate m.
-1, 0, 2
Factor 512/11 + 192/11*u**2 - 512/11*u + 2/11*u**4 - 32/11*u**3.
2*(u - 4)**4/11
Suppose 12*w - 8 = 8*w. Factor 0*f**4 - 2/11*f**3 + 2/11*f**5 + 0 + 0*f + 0*f**w.
2*f**3*(f - 1)*(f + 1)/11
Let v be (204/(-10))/(-6) + -3. Let m(h) be the first derivative of 2/15*h**3 - 2/5*h**2 + v*h + 1. Find y, given that m(y) = 0.
1
Let y(r) be the second derivative of 1/48*r**4 + 0 + 0*r**3 + 1/40*r**5 - 4*r + 0*r**2 + 1/120*r**6. Let y(j) = 0. Calculate j.
-1, 0
Let k(x) be the second derivative of x**8/6720 - x**7/2520 - x**6/720 + x**5/120 + x**4/2 - 2*x. Let t(y) be the third derivative of k(y). Factor t(i).
(i - 1)**2*(i + 1)
Let w(i) be the third derivative of 2*i**7/105 + i**6/15 + i**5/15 + 3*i**2. Suppose w(h) = 0. Calculate h.
-1, 0
Let i(z) be the second derivative of 1/30*z**6 + 0*z**4 + 0 - 1/2*z**2 + 1/10*z**5 - z - 1/3*z**3. Factor i(u).
(u - 1)*(u + 1)**3
Let h be ((-6)/(-4))/((-6)/(-32)). Let o be (0 + 3/6)*h. Factor d**3 + d**5 - d**4 - 3*d**2 + 0*d**4 - 2*d**5 + o*d**2.
-d**2*(d - 1)*(d + 1)**2
Let h be ((-5)/((-5)/(-8)))/1. Let q(w) = -w - 6. Let n be q(h). Factor n*b**2 + 3*b + 1 + b + 1.
2*(b + 1)**2
Let p = -30 - -32. Let g(w) be the first derivative of -1/4*w**4 + 3 + 2*w + 1/2*w**p - 2/3*w**3. Factor g(d).
-(d - 1)*(d + 1)*(d + 2)
Let n(q) be the first derivative of -q**4/6 - 2*q**3/3 - 8*q - 7. Let x(v) be the first derivative of n(v). Factor x(m).
-2*m*(m + 2)
Let p = -37 - -39. Let j(w) be the first derivative of 0*w - 2/3*w**3 + 2/5*w**5 + w**p - 1/2*w**4 - 1. Factor j(u).
2*u*(u - 1)**2*(u + 1)
Let i(q) be the first derivative of -q**4/10 - 4*q**3/15 - q**2/5 + 2. Factor i(j).
-2*j*(j + 1)**2/5
Let o = 6187/5 + -1230. Let m = o - 7. Factor 2/5*p**3 + 0 + m*p**2 + 0*p.
2*p**2*(p + 1)/5
Solve -78*q**2 + q + 76*q**2 - 5*q + 2*q**3 = 0.
-1, 0, 2
Suppose 0 = 4*f - 255 + 243. Factor -2/5*q**2 + 1/5*q**f + 0 + 1/5*q.
q*(q - 1)**2/5
Suppose 18 = 4*o - 2*h, -5*o = h - 2*h - 21. Solve -o*p + 3*p - 3*p**3 - 2 + 4*p + 5 - 3*p**2 = 0 for p.
-1, 1
Let b = -265 + 6361/24. Let z(a) be the second derivative of 9/80*a**5 + a + 1/30*a**6 + b*a**3 + 1/8*a**4 + 0*a**2 + 0. Determine y, given that z(y) = 0.
-1, -1/4, 0
Let i be (-7 - -6)*0/2. Let r(p) be the third derivative of 0*p**4 + i*p**3 + p**2 + 1/30*p**5 + 0*p + 0. Determine s, given that r(s) = 0.
0
Let q(d) be the third derivative of -d**7/5040 + d**6/1440 + d**5/120 + d**4/12 + 2*d**2. Let p(n) be the second derivative of q(n). Factor p(j).
-(j - 2)*(j + 1)/2
Let w(b) be the first derivative of b**9/18144 + b**8/5040 + b**7/5040 + b**3 + 2. Let j(c) be the third derivative of w(c). Factor j(t).
t**3*(t + 1)**2/6
Let o(a) be the first derivative of 1/9*a**3 + 1/6*a**2 + 0*a - 2. Suppose o(d) = 0. What is d?
-1, 0
Let o(d) = 4*d**5 + 4*d**4 + 6*d**3 + d**2 + d. Let c(u) = -u**5 + u**2. Let j(s) = -6*c(s) - 2*o(s). Factor j(k).
-2*k*(k + 1)**4
Let z(s) be the second derivative of s**6/