 1/3*v**3 + 1/3*v**2 = 0.
-2, -1, 2
Let g be (10/(-12))/((-6)/36). Let s(y) be the second derivative of -3/7*y**3 + 2*y + 0 + 9/14*y**4 + 4/35*y**6 - 31/70*y**g + 1/7*y**2. Solve s(n) = 0.
1/4, 1/3, 1
Suppose -2 = k - 4. Let b = 61/2 + -30. What is n in 0 + 0*n - 1/4*n**k + b*n**3 + 3/4*n**4 = 0?
-1, 0, 1/3
Suppose 3 = -6*m + 7*m. Suppose 9 = 3*f + m. What is i in -1/5*i**5 - 1/5*i**f + 1/5*i**3 + 0*i + 1/5*i**4 + 0 = 0?
-1, 0, 1
Let k(o) = 2*o + 1. Let u be k(2). Let a(v) = -5*v**2 - 2*v + 3. Let s(y) = 10*y**2 + 3*y - 7. Let q(h) = u*a(h) + 2*s(h). Find t such that q(t) = 0.
-1, 1/5
Let s(g) be the first derivative of g**6/180 + g**5/84 - g**4/42 - g**3/3 - 3. Let j(b) be the third derivative of s(b). Find k such that j(k) = 0.
-1, 2/7
Let v = 5 - 11. Let r = 6 + v. Factor o**2 + r*o + 0 + 1/2*o**3.
o**2*(o + 2)/2
Suppose 4*b + 12 = 8*b. Let w(n) be the first derivative of -6/5*n**2 - 1/5*n**3 - 12/5*n + b. Determine c so that w(c) = 0.
-2
Determine w, given that 0 + 0*w + 0*w**3 - 2/5*w**4 + 2/5*w**2 = 0.
-1, 0, 1
Let w(u) be the third derivative of 1/16*u**4 - 1/120*u**5 + 0 - 1/6*u**3 - 2*u**2 + 0*u. Find h such that w(h) = 0.
1, 2
Let b(r) = -4*r**2 - 3*r + 5. Let p(g) = -g - 1. Let a(o) = -b(o) - 5*p(o). Factor a(c).
4*c*(c + 2)
Let l be (-4)/14 - 144/(-63). Factor -3*c**l + 8*c**3 - 3*c**3 + 4*c**2 - c**3.
c**2*(4*c + 1)
Let v(o) be the second derivative of -o**6/90 + o**4/36 - 10*o. What is z in v(z) = 0?
-1, 0, 1
Let k(s) = -7*s**4 - 7*s**3 + s**2 + 7*s - 6. Let z(t) = 20*t**4 + 20*t**3 - 3*t**2 - 20*t + 17. Let q(h) = -17*k(h) - 6*z(h). Determine o, given that q(o) = 0.
-1, 0, 1
Suppose 0*h + 0*h**2 - 1/3*h**4 - 1/3*h**5 + 0*h**3 + 0 = 0. What is h?
-1, 0
Let k(z) be the second derivative of -z**6/210 + z**5/28 - 2*z**4/21 + 2*z**3/21 - 4*z. Factor k(t).
-t*(t - 2)**2*(t - 1)/7
Let a(v) be the third derivative of v**5/15 + v**4/6 - 4*v**3/3 - 20*v**2. Factor a(p).
4*(p - 1)*(p + 2)
Let w(t) = -t**3 + 4*t**2 + 4*t - 5. Let m be w(4). What is r in -7*r**3 + m*r**3 - 19*r**2 - 4 + 12*r + 7*r**2 = 0?
1
Let d(i) be the third derivative of -1/3*i**3 + 1/40*i**6 + 3*i**2 + 0 + 7/24*i**4 + 0*i - 2/15*i**5. What is x in d(x) = 0?
2/3, 1
Let i = 1 + 2. Factor -v**2 + 0*v**3 - 2*v**3 + 2*v + v**i.
-v*(v - 1)*(v + 2)
Let j(s) = -14*s**3 - 12*s**2 - 17*s - 4. Let c(o) = 6*o**3 + 6*o**2 + 8*o + 2. Let n(h) = 5*c(h) + 2*j(h). Factor n(y).
2*(y + 1)**3
Let a(k) be the second derivative of -k**6/10 + 3*k**5/20 + k**4/4 - k**3/2 - k. Factor a(l).
-3*l*(l - 1)**2*(l + 1)
Let k(b) = -b**3 + 4*b**2 - b - 2. Let j be k(2). Suppose -j = -a - 0*a. Factor 0*p**2 - a - 19*p - 7*p**2 + 3*p.
-(p + 2)*(7*p + 2)
Let m be 3/6*0*3/(-6). Factor -4/7*z**2 + 2/7*z**3 + m + 0*z.
2*z**2*(z - 2)/7
Factor -45 - 69 - 3*b**3 + 39*b**2 - 40*b - 65*b - 33.
-3*(b - 7)**2*(b + 1)
Let q(t) be the first derivative of -t**4/28 - t**3/3 - 11*t**2/14 - 5*t/7 - 9. Factor q(o).
-(o + 1)**2*(o + 5)/7
Suppose 3*x - 4*w - 55 + 13 = 0, -2*x = w - 17. Factor -6*d**3 + x*d**2 - 2*d**3 + 4*d**3 - 8*d**4 - d + 5*d**5 - 2.
(d - 1)**3*(d + 1)*(5*d + 2)
Let v(k) = -19*k**3 - 67*k**2 - 60*k - 10. Let j = -14 + 23. Let s(z) = -75*z**3 - 267*z**2 - 240*z - 39. Let c(y) = j*v(y) - 2*s(y). Factor c(i).
-3*(i + 1)*(i + 2)*(7*i + 2)
Let n be 2 + 0/(0 + 1). Let j(a) be the second derivative of 0 + 0*a**n - 1/2*a**3 - 1/4*a**4 + 3*a. Factor j(x).
-3*x*(x + 1)
Let n(b) be the first derivative of -2*b**3/3 + b**2 + 12*b + 24. Let n(r) = 0. Calculate r.
-2, 3
Factor 8*k**2 - 4*k + 6*k**5 - k**2 - 8*k**4 - 2*k**5 + k**2.
4*k*(k - 1)**3*(k + 1)
Suppose 5*n - 267 = 158. Let g = -509/6 + n. Let 1/6 - 1/3*r**3 + 1/6*r - 1/3*r**2 + 1/6*r**4 + g*r**5 = 0. Calculate r.
-1, 1
Let x(z) be the first derivative of -2*z**6/3 + 2*z**5/5 + z**4/2 - 1. Let f(t) = t**5 - t**4 + t**3 - t. Let n(b) = -2*f(b) - x(b). Factor n(v).
2*v*(v - 1)**2*(v + 1)**2
Suppose -3*a + m = -6 - 11, 21 = 4*a - 3*m. Let l = a + -4. Factor 2*y**3 + y**2 - 3*y**l + 0*y**3.
2*y**2*(y - 1)
Let s(i) be the first derivative of 3*i**4/4 - 7*i**3 + 45*i**2/2 - 27*i + 5. Find c, given that s(c) = 0.
1, 3
Let q(r) be the second derivative of r**6/45 + r**5/30 - r**4/6 - 5*r**3/9 - 2*r**2/3 + 8*r. Solve q(l) = 0 for l.
-1, 2
Let c be (-4)/10 + 18/(-5). Let j be 2/(-1)*(c + 3). Find w such that 0*w**5 - 4*w**2 + 3*w**3 + 6*w**4 + w**3 - j - 6*w + 2*w**5 = 0.
-1, 1
Solve 0 - 5/3*p**4 + 2/3*p + 1/3*p**5 + 3*p**3 - 7/3*p**2 = 0.
0, 1, 2
Let x(n) be the third derivative of n**6/360 - n**5/180 - n**4/36 - 7*n**2. Factor x(f).
f*(f - 2)*(f + 1)/3
Suppose 4*y + 3*h = -7, 0 - 10 = 5*y + 4*h. Suppose -3 = -r - 1. What is u in -y*u**4 - 2*u**5 + 2*u**r + 0*u**4 + 0*u**4 + 2*u**3 = 0?
-1, 0, 1
Let o be 0 - 4 - (-184)/18. Factor -98/9*i**2 - 8/9 - o*i.
-2*(7*i + 2)**2/9
Let g = -18 - -29. Let k = g - 7. Factor -k - 49/2*p**3 - 63*p**2 - 30*p.
-(p + 2)*(7*p + 2)**2/2
Suppose -5 + 4*t - 49*t**2 - 4*t**3 + 1 + 53*t**2 = 0. What is t?
-1, 1
Let l = 38 + -36. Let v(b) be the third derivative of 0 - 8/105*b**7 + 1/5*b**6 + 0*b - 1/4*b**4 - 1/6*b**3 - 1/60*b**5 + l*b**2. Suppose v(w) = 0. What is w?
-1/4, 1
Let f(j) be the third derivative of j**5/100 + 3*j**4/40 + j**3/5 + 8*j**2. Solve f(m) = 0 for m.
-2, -1
Suppose 0*q + 6 = 3*q. Suppose 5*y = -0*y. Factor -3*s**q + y*s**2 - s**5 + 5*s**2 + 0*s**4 + s - 2*s**4.
-s*(s - 1)*(s + 1)**3
Let u be 11/66*27/4. Factor u*v + 0 - 3/8*v**2.
-3*v*(v - 3)/8
Let i(g) be the second derivative of 0*g**2 + 1/3*g**4 - 3*g + 0 - 2/15*g**6 + 1/20*g**5 - 1/6*g**3. Factor i(v).
-v*(v - 1)*(v + 1)*(4*v - 1)
Let f = -14 - -24. Let p be (-100)/(-126) + f/(-45). Factor 6/7*j**3 + 0 + p*j - 10/7*j**2.
2*j*(j - 1)*(3*j - 2)/7
Let s be 6/(-2) + 11/3. Factor -4/3 + 2*m - s*m**2.
-2*(m - 2)*(m - 1)/3
Suppose 5*n + 2*w - 28 = 0, 2*n + 3*w - 16 = n. Suppose n*s = -s + 10. Factor -o**2 - o**3 - o**2 + o + 0*o + s*o**4.
o*(o - 1)*(o + 1)*(2*o - 1)
Factor -3 + 4*y**2 - 12*y**3 + 43*y - 11*y + 11 + 8.
-4*(y - 2)*(y + 1)*(3*y + 2)
Suppose o + 6 = 3*x, 0 = 6*x - 5*x + 5*o - 2. Solve -v**4 - 7*v + v**4 - 3*v**4 + 9*v**x + v = 0.
-2, 0, 1
Let t = 7/12 - -5887/132. Let j = -45 + t. Factor -16/11*q - j*q**3 - 10/11*q**2 - 8/11.
-2*(q + 1)*(q + 2)**2/11
Let t(r) be the first derivative of -r**4/20 + 2*r**3/15 - r**2/10 - 18. Factor t(m).
-m*(m - 1)**2/5
Let s(z) be the second derivative of -z**6/45 + z**4/6 + 2*z**3/9 - 10*z. Factor s(g).
-2*g*(g - 2)*(g + 1)**2/3
Determine r, given that 86/3*r**3 + 20*r**4 + 14/3*r**5 + 8/3*r + 16*r**2 + 0 = 0.
-2, -1, -2/7, 0
Let o be 5 - (-2 - -4) - (-143)/(-52). Factor -1/2*h + 1/2*h**3 + 0 + 1/4*h**4 - o*h**2.
h*(h - 1)*(h + 1)*(h + 2)/4
Let s(j) be the second derivative of j**5/80 - j**4/48 - j**3/12 + 14*j. Find o, given that s(o) = 0.
-1, 0, 2
Factor 4*y - 4 - 1 - 5*y**2 - 19*y - 5.
-5*(y + 1)*(y + 2)
Let 6*a - 15*a - a**3 + 10*a = 0. Calculate a.
-1, 0, 1
Let t(l) be the second derivative of -7/20*l**5 + 1/12*l**4 + 2*l**2 + 0 - 1/42*l**7 - 6*l + 4/3*l**3 - 1/6*l**6. Let t(y) = 0. What is y?
-2, -1, 1
Let k(a) be the second derivative of -2/15*a**3 + 3*a - 1/30*a**4 - 1/5*a**2 + 0. Factor k(x).
-2*(x + 1)**2/5
Let s be -1 + 0 + 2 + 2. Determine a so that 4*a**3 + 0*a + a - 5*a**s = 0.
-1, 0, 1
Suppose -28*k**4 - 26*k**3 - 16 - 12*k**2 + 32*k + 34*k**3 + 96*k**2 = 0. What is k?
-1, 2/7, 2
Suppose -5*h = -9 - 6. Let q be 0 + -2*h/(-18). Factor -q*u**2 + u - 2/3.
-(u - 2)*(u - 1)/3
Let c(x) be the first derivative of 4 + x**2 + 1/3*x**6 + 0*x**5 - x**4 + 0*x**3 + 0*x. Factor c(n).
2*n*(n - 1)**2*(n + 1)**2
Let g = 9317/9 + -1035. Factor g*t**2 - 4/9 - 2/9*t.
2*(t - 2)*(t + 1)/9
What is s in 0*s**3 + 0*s**2 + 0 + 2/5*s**4 + 0*s - 2/5*s**5 = 0?
0, 1
Suppose 30*t**4 - 32*t**3 - 4 + 0 + 22*t**2 - 10*t + 90*t**3 = 0. Calculate t.
-1, -1/3, 2/5
Let g be 4 - (-2 - (-3 + 1)). Suppose 0*d + g*d + 3*k = 2, d + 5*k + 8 = 0. Suppose 0*p + p - 4*p**2 + p**d = 0. What is p?
0, 1/3
Let p(h) = h. Let i be p(8). Determine f so that i*f - 3*f**4 + 9*f**3 + 0*f**2 - 9*f**2 - 5*f = 0.
0, 1
Suppose -16 + 7 = 3*o. Let a(h) = h + 6. Let z be a(o). Solve -3*t + t**z - 6*t**2 + 6*t**2 + 2*t = 0.
-1, 0, 1
Let g = -18 + 22. Let v(t) be the second derivative of -1/3*t**3 - 2*t - 1/3*t**g - 1/10*t**5 + 0*t**2 + 0. Factor v(p).
-2*p*(p + 1)**2
Let n