, 6
Let 13/6*y**2 + 1/2 - 5/6*y**3 - 11/6*y = 0. What is y?
3/5, 1
Let i(h) = h**3 + h**2 + h - 1. Let m = -4 - -6. Let k(r) = r**4 + 7 - 5*r**m - r**3 - 9*r - 2*r**4 - r**4. Let y(n) = 5*i(n) + k(n). Factor y(q).
-2*(q - 1)**3*(q + 1)
Let t = 137/2 + -36. Let j = 33 - t. Find w, given that -3*w**2 - 1/2*w**4 + 2*w**3 - j + 2*w = 0.
1
Let x(v) = -v**3 + 7*v**2 - 3*v + 3. Let z be x(6). Solve z*j**3 - 3*j + 49*j**4 - 2*j + 9*j - 24*j**2 = 0.
-1, 0, 2/7
Let g(r) = 9*r**2 - 7*r - 11. Let l(i) = 4*i**2 - 3*i - 5. Let v(o) = 3*g(o) - 7*l(o). Let p be v(0). Suppose 0*n - 2/7*n**p + 0 = 0. Calculate n.
0
Let j(w) = -2*w**2 - 2*w + 0*w + w**2. Let q(h) = h + 4. Let b be q(-9). Let m(l) = 3*l**2 + 4*l. Let y(g) = b*j(g) - 2*m(g). Determine n, given that y(n) = 0.
0, 2
Factor 2/5*r - 4/5*r**2 - 2/5*r**3 + 4/5.
-2*(r - 1)*(r + 1)*(r + 2)/5
Let p(u) be the third derivative of u**8/1120 + u**7/252 + 7*u**6/1080 + u**5/180 - 5*u**4/24 - 5*u**2. Let i(w) be the second derivative of p(w). Factor i(v).
2*(v + 1)*(3*v + 1)**2/3
Let w(k) be the first derivative of -2*k**3/9 + 2*k/3 - 1. What is p in w(p) = 0?
-1, 1
Let y(q) be the third derivative of -q**7/105 - q**6/60 - 2*q**2. Factor y(a).
-2*a**3*(a + 1)
Let u(f) be the first derivative of 1/16*f**4 + 0*f + 7 + 1/12*f**3 - 1/20*f**5 - 1/24*f**6 + 0*f**2. Solve u(p) = 0.
-1, 0, 1
Determine l, given that -53*l**2 - 18*l**2 - 4*l**2 - 60*l - 12 = 0.
-2/5
Let w(j) be the first derivative of j**6/2 - 12*j**5/5 + 9*j**4/2 - 4*j**3 + 3*j**2/2 + 3. Determine z, given that w(z) = 0.
0, 1
Let z be 3 + 68/(-18) - -1. Factor 2/9*s**2 - z*s + 0.
2*s*(s - 1)/9
Let k be 2*((3 - 0) + -1). Suppose 0 = -4*b - 5*t + 25, k*b + 4*t = -0*t + 20. Suppose 22*d**2 + 4*d - 20*d**2 + b*d - 2*d**3 = 0. What is d?
-1, 0, 2
Let u(k) be the first derivative of -1 - 3/4*k**4 - k**3 + 3/2*k**2 + 3*k. Factor u(n).
-3*(n - 1)*(n + 1)**2
Let x = 40 - 37. Find k, given that -2/9*k - 2/9*k**4 - 2/3*k**x - 2/3*k**2 + 0 = 0.
-1, 0
Let -4*b**2 + 2 + 4*b**3 + 53*b**4 - 51*b**4 - 2*b**3 - b**5 - b = 0. Calculate b.
-1, 1, 2
Let a(y) be the first derivative of -9*y**5/20 - 21*y**4/16 + 3*y**2/2 - 34. Let a(v) = 0. What is v?
-2, -1, 0, 2/3
Factor 0 - 136/23*h**2 - 294/23*h**4 + 16/23*h + 364/23*h**3.
-2*h*(3*h - 2)*(7*h - 2)**2/23
Let s(b) be the second derivative of b**5/15 - 7*b. Solve s(f) = 0 for f.
0
Let s be 1/(-2) - (1751/(-170) + 7). Solve 18/5*o**2 - s*o - 4/5 = 0 for o.
-2/9, 1
Let q be 164/(-369) - (-101)/45. Factor -q*p + 6/5 + 3/5*p**3 + 0*p**2.
3*(p - 1)**2*(p + 2)/5
Let q = -12 - -12. Suppose q = -2*d + 11*d. Factor -2/3 + d*y - 2/3*y**4 + 0*y**3 + 4/3*y**2.
-2*(y - 1)**2*(y + 1)**2/3
Let u(f) be the first derivative of -1 + 1/5*f**2 - 1/30*f**4 + f + 0*f**3. Let y(v) be the first derivative of u(v). Let y(j) = 0. Calculate j.
-1, 1
Determine l, given that 3*l + 2 - 11/4*l**3 + 5/4*l**5 + 3*l**4 - 13/2*l**2 = 0.
-2, -2/5, 1
Let o(a) be the first derivative of a**6/36 + a**5/15 + a**4/24 + 1. Factor o(m).
m**3*(m + 1)**2/6
Let t be (-30 + -3)*(-2)/6. Factor 3*m**2 + 9 - 6 + 5*m - t*m.
3*(m - 1)**2
Let t(q) = -3*q**4 + 9*q**2 - 3*q - 3. Let g(x) = -3*x**4 + 8*x**2 - 2*x - 3. Let k(f) = -3*g(f) + 2*t(f). Let k(m) = 0. What is m?
-1, 1
Let h(d) be the third derivative of d**7/180 + d**6/108 - d**5/90 - 2*d**3/3 + 5*d**2. Let o(s) be the first derivative of h(s). Suppose o(v) = 0. Calculate v.
-1, 0, 2/7
Let n = -17 + 52/3. Let r(g) be the first derivative of n*g**3 - g**5 + 0*g + 2 + 1/2*g**6 + 1/4*g**4 + 0*g**2. Let r(k) = 0. What is k?
-1/3, 0, 1
Let a(v) = v + 1. Let z(d) be the third derivative of -d**6/40 - d**5/10 + d**4/24 + 2*d**3/3 + 4*d**2. Let j(p) = 4*a(p) - z(p). Factor j(q).
3*q*(q + 1)**2
Let m(h) = 2*h - 12. Let g be m(9). Solve -g*n - n**3 + 1 + 2*n**2 + 5*n - 1 = 0.
0, 1
Suppose 0 = 5*m - 2*t + 37, -5*m - 41 = -2*t + t. Let a be ((-3)/(m/60))/2. Factor -2*i**3 - 8*i - 2*i + a*i**2 - 14*i + 8 + 8*i.
-2*(i - 2)**2*(i - 1)
Factor 3/2*a**3 + 0 + 0*a + 0*a**2.
3*a**3/2
Let m(i) be the first derivative of -i**6/33 + 6*i**5/55 + 3*i**4/11 - 20*i**3/33 - 21*i**2/11 - 18*i/11 - 36. Factor m(b).
-2*(b - 3)**2*(b + 1)**3/11
Suppose -4*s + 5*s = 2. Factor -2*x**s - 2 + 2*x + 1 + 1.
-2*x*(x - 1)
Let b = -623/2 - -312. Determine h, given that -9/2*h**2 + 27/2*h - 27/2 + b*h**3 = 0.
3
Let n be 1/((-15)/(-24)*4). Factor 2/5*o**2 - n + 3/5*o.
(o + 2)*(2*o - 1)/5
Let b be ((8/(-42))/2)/(10/(-120)). Solve 0 - 2/7*y**2 + b*y**3 + 0*y = 0 for y.
0, 1/4
Let o(k) be the first derivative of k**3 + 3*k**2/2 - 2. Factor o(x).
3*x*(x + 1)
Suppose 9*j = 6*j + 12. Let x(f) be the first derivative of -1/6*f**2 - 1 - 1/4*f**j + 1/15*f**5 + 1/3*f**3 + 0*f. Factor x(o).
o*(o - 1)**3/3
Solve 13 + 3 + 4 - 220*h + 605*h**2 = 0.
2/11
Determine l, given that 0 + 5*l - 5/2*l**2 = 0.
0, 2
Let m(w) be the third derivative of -w**9/30240 + w**7/2520 - w**5/240 - w**4/8 + w**2. Let f(d) be the second derivative of m(d). Factor f(c).
-(c - 1)**2*(c + 1)**2/2
Let -9/4*w + 13/2*w**2 - 9/2*w**3 + 27/4*w**5 - 27/4*w**4 + 1/4 = 0. Calculate w.
-1, 1/3, 1
Let -5/6*n**3 - 5/6*n**2 + 5/6 + 5/6*n = 0. Calculate n.
-1, 1
Let u(k) be the third derivative of -k**8/126 + 5*k**7/189 - k**6/540 - k**5/135 - 2*k**2. Suppose u(x) = 0. Calculate x.
-1/4, 0, 1/3, 2
Let b be -1 + 1 + 4*2. Suppose 0 = -4*o + b - 0. Let 5*y**4 + 2*y**5 - y**4 + 0*y**4 + o*y**3 = 0. What is y?
-1, 0
Let v(x) = -x**2 - 6*x + 30. Let f be v(-9). Factor -1/3*k**f - 2/3*k**2 + 0 - 1/3*k.
-k*(k + 1)**2/3
Let o = 5 - 2. Solve 0*k**5 - o*k**5 + 2*k + 5*k**3 - 5*k - 3*k**4 + 6*k**2 + k**3 - 3 = 0.
-1, 1
Let t(i) be the first derivative of -3*i**4/16 - i**3/4 + 3*i**2/4 + 12. Let t(j) = 0. What is j?
-2, 0, 1
Let z(o) be the first derivative of o**5/20 - o**4/2 + 2*o**3 + 3*o**2/2 - 3. Let c(l) be the second derivative of z(l). What is b in c(b) = 0?
2
Suppose 1 = 3*j - 5. Let f = -4 - -7. Let 2/7*v**j - 2/7*v**f + 0*v + 0 = 0. What is v?
0, 1
Find c, given that -2/5*c**5 + 2/5*c**2 - 2*c**4 + 8/5 + 16/5*c - 14/5*c**3 = 0.
-2, -1, 1
Let y be 2/(-6) + 20/6. Let i be y/(-6) + (-14)/(-4). Suppose -1 - 2*k**3 - k**2 - k**4 - 5*k**2 - 4*k - k**3 - k**i = 0. Calculate k.
-1
Let h(l) = -9*l**3 - 3*l**2 + 3*l - 3. Let x(f) = 5*f**3 + 2*f**2 - 2*f + 2. Let t(o) = -4*h(o) - 7*x(o). Let g be t(2). Solve 2/3*k**g + 2/3 - 4/3*k = 0 for k.
1
Let x(q) be the third derivative of -q**8/7560 - q**7/1890 - q**6/1620 - q**3/3 + 6*q**2. Let l(n) be the first derivative of x(n). Factor l(a).
-2*a**2*(a + 1)**2/9
Factor -1/5*y**2 + 0 + 0*y + 2/5*y**3 - 1/5*y**4.
-y**2*(y - 1)**2/5
Let c(f) be the first derivative of f**4/4 + 2*f**3/3 - 29. Factor c(i).
i**2*(i + 2)
Solve -9*u**4 + 7*u**4 + 4*u + 4*u**4 - 6*u**2 = 0 for u.
-2, 0, 1
Let h(s) = 2*s**5 + 8*s**3 + 12*s**2 + 14*s. Let m(t) = -t**3 - t**2 - t. Let p(i) = h(i) + 12*m(i). Determine b so that p(b) = 0.
-1, 0, 1
Factor -1/2*p**2 + 0 + 0*p.
-p**2/2
Let k be (-3)/(-9) - 32/(-12). Let g = k + -3. Determine z, given that 1/4*z**2 - 1/2*z + g + 3/4*z**3 = 0.
-1, 0, 2/3
Factor 5*y - y**4 + y**3 + 3*y**2 - y**3 - y**3 + 0*y**3 + 2.
-(y - 2)*(y + 1)**3
Suppose 12*d - 9 = 9*d. Let o(m) be the third derivative of -2*m**2 + 0 + 0*m**d + 0*m - 1/36*m**4 - 1/36*m**5. Factor o(f).
-f*(5*f + 2)/3
Let -240*i - 56*i**3 - 9*i**2 - 37*i**2 - 29*i**2 + 51*i**3 + 320 = 0. Calculate i.
-8, 1
Let s(x) be the first derivative of -x**6/90 - x**5/60 + x**4/36 + x**3/18 - 9*x + 6. Let o(p) be the first derivative of s(p). Factor o(j).
-j*(j - 1)*(j + 1)**2/3
Let s = 33 - 31. Let o(q) be the first derivative of 0*q + 1/9*q**2 + 2/27*q**3 - s. Solve o(b) = 0 for b.
-1, 0
Let w(y) be the second derivative of -5*y**4/48 + 85*y**3/12 - 1445*y**2/8 - 4*y + 2. Factor w(a).
-5*(a - 17)**2/4
Let l(b) = b**2 + 6*b - 11. Let r be l(-8). Suppose -h = -r*h. Find s, given that 2/9*s**3 + h + 4/9*s**4 + 0*s**2 + 0*s + 2/9*s**5 = 0.
-1, 0
Let r = 33 - 25. Let v(t) be the third derivative of 2*t**2 + 1/168*t**r + 0*t**4 + 0*t**3 + 0 + 0*t**7 + 0*t - 1/60*t**6 + 0*t**5. Find a such that v(a) = 0.
-1, 0, 1
Let u(v) = 47*v**2 - 25*v - 13. Let o(p) = 23*p**2 - 13*p - 6. Let y(d) = -9*o(d) + 4*u(d). Determine k, given that y(k) = 0.
-2/19, 1
Factor -3*w + 18*w**3 - 9/2*w**2 + 0 - 21/2*w**4.
-3*w*(w - 1)**2*(7*w + 2)/2
Let d