 - 13*o**2 + 4*o + 2. Let t(y) = -2*p(y) + 3*w(y). Solve t(r) = 0.
0, 1, 2
Let c be 6/24 - 30/(-8). Factor -5*a**3 - 1 + 3*a**c + 5*a - a**2 - 3 + 2.
(a - 1)**2*(a + 1)*(3*a - 2)
Determine w so that 0*w**2 + 3/2*w**5 + 0*w**4 + 0*w + 0 + 0*w**3 = 0.
0
Let m(l) be the third derivative of 3*l**7/280 - l**6/80 - l**5/80 - 34*l**2. Solve m(u) = 0 for u.
-1/3, 0, 1
Let z(d) be the first derivative of 2/27*d**3 - 1 - 2/9*d + 0*d**2. Find b such that z(b) = 0.
-1, 1
Let q be 2 + -2 + 4/14. Let b = 3/14 + q. What is o in 0 + b*o**2 + 1/4*o**3 + 1/4*o = 0?
-1, 0
Factor -k + 4/5 + 1/5*k**2.
(k - 4)*(k - 1)/5
Let s(w) be the third derivative of w**8/2240 + w**7/560 - w**5/80 + w**4/24 + w**2. Let k(x) be the second derivative of s(x). Factor k(g).
3*(g + 1)**2*(2*g - 1)/2
Determine k, given that -10 - 10*k**3 - 25*k**2 - 35*k + 5*k**5 + 10*k**4 + 18*k**2 - 33*k**2 = 0.
-1, 2
Let i = 319 + -319. Factor 0 - 2/9*d**4 + 2/9*d**3 + 0*d**2 + i*d.
-2*d**3*(d - 1)/9
Let i = 1 - -3. Factor -7*c**4 + 2 + 8*c**3 - 4 + 4*c**i + c**4 + 8*c - 12*c**2.
-2*(c - 1)**4
Let g(f) be the first derivative of f**3/3 + 2*f**2 + 4*f + 1. Let y be g(-4). Factor -5/2*h**y - h**2 + 0*h + 0 - 7/2*h**3.
-h**2*(h + 1)*(5*h + 2)/2
Let s(f) be the second derivative of -1/3*f**4 + 0 - f + 7/6*f**3 + f**2. Determine d so that s(d) = 0.
-1/4, 2
Determine u so that u**5 + u + u**2 + 5*u**3 + u**4 + 1 - 7*u**3 - 3*u**2 + 0*u**2 = 0.
-1, 1
Solve 4*c**4 + 10*c - 26 - 6 + 24*c**2 - 26*c + 20*c**3 = 0 for c.
-2, 1
Let n(v) be the third derivative of -v**7/210 + v**6/60 + v**5/20 - v**4/6 - 2*v**3/3 - 50*v**2. Solve n(b) = 0 for b.
-1, 2
Let b(z) = z**3 - 1. Let f(w) = 2*w**3 + 8*w**2 - 4*w - 6. Let g(t) = -2*b(t) - f(t). What is u in g(u) = 0?
-2, -1, 1
Suppose -12*b - 2*b**3 + 6*b + 8*b - 2*b**2 + 2*b**4 = 0. What is b?
-1, 0, 1
Let o be (-24)/(-3) - 1*-2. Suppose 3*z - 38 + o = -4*x, -5*x = -5*z. Determine i so that -2*i**4 - i**3 + 3*i**x - 2*i**4 + 0*i**3 = 0.
-1, 0
Let c(k) be the second derivative of -k**7/2520 + k**6/240 + k**5/30 - 5*k**4/12 - 2*k. Let r(m) be the third derivative of c(m). Determine b so that r(b) = 0.
-1, 4
Let y = 0 + 2. Suppose 0*o = -2*q + 4*o - 12, 3*o - 14 = -q. Factor -4*f**q + 0 + 6*f**2 + 0*f**y + 2*f**3 - 2 - 2*f.
2*(f - 1)*(f + 1)**2
Let 4/3*k**2 - 8/3 + 4/3*k = 0. What is k?
-2, 1
Let f(u) be the third derivative of 0*u**3 + 0*u**5 - 1/30*u**6 + 0*u - 5*u**2 + 0*u**4 + 0. Suppose f(s) = 0. What is s?
0
Suppose 0 = q - i, -2*q + 40 = 2*q + 4*i. Let 1 - 4*y**3 + 2*y**q + y + y + 0*y**4 + y**4 - 2*y**2 + 0*y**3 = 0. What is y?
-1, -1/2, 1
Suppose -2*k = n - 1, -3*n - 2*k - 7 = -6*k. Let f = 1 - n. What is x in 3*x - 4*x**2 + 0*x**2 - 2 + 3*x**f = 0?
1, 2
Suppose 0*z = -3*v - 3*z + 3, v + 2*z = 0. Factor 2*y**v + 2*y**3 - 2*y - 4*y + 2*y.
2*y*(y - 1)*(y + 2)
Let -14*u - 7 + 5*u**3 - 37*u**4 - 55*u + 12*u**4 + 25 + 71*u**2 = 0. Calculate u.
-2, 3/5, 1
Let f(u) be the second derivative of 3*u**5/100 - 6*u**3/5 + 24*u**2/5 + 2*u. Determine p, given that f(p) = 0.
-4, 2
Let f(p) = p + 0 - p**3 + p**2 - 1 - 2*p + 0. Let o(h) = h**3 - 2*h**2 - 2*h - 3. Let u(q) = 3*f(q) - o(q). Factor u(r).
-r*(r - 1)*(4*r - 1)
Factor 2/3*h**2 + 0*h + 0.
2*h**2/3
Suppose 5*p + 14 = 5*v + 29, 0 = -p - 4*v + 3. Find a, given that a - a + 8*a**3 + 18*a**2 + p*a + a = 0.
-2, -1/4, 0
Factor -7*j + 4*j**2 + 0*j**2 + 5*j**2 + 2 - 6*j**2.
(j - 2)*(3*j - 1)
Factor -3*q + 3*q**3 + 9 + 71*q**2 - 56*q**2 + 24*q.
3*(q + 1)**2*(q + 3)
Let q(a) be the third derivative of 0*a + 9*a**2 + 0 + 1/450*a**5 - 1/45*a**3 + 0*a**4. Suppose q(u) = 0. Calculate u.
-1, 1
Find g such that 0 - 2/7*g**2 + 2/7*g - 4/7*g**3 = 0.
-1, 0, 1/2
Suppose -2*m + 5 = 1. Factor m*q**2 + 0*q - 4 - q + 0*q + 3*q.
2*(q - 1)*(q + 2)
Let j be (-3 + 2)/(2/(-10)). Suppose -p + j - 3 = 0. Factor -2*g**2 + 3*g**3 - g**2 + g - g**p.
g*(g - 1)*(3*g - 1)
Let m(u) be the first derivative of -5/12*u**2 + 5/24*u**4 + 2 - 1/3*u + 1/9*u**3. Let m(t) = 0. Calculate t.
-1, -2/5, 1
Let m(j) be the third derivative of -j**5/30 - j**4/4 - 2*j**3/3 + 3*j**2. Factor m(r).
-2*(r + 1)*(r + 2)
Let b be (-3 + (-7)/(-2))*92. Suppose -b - 20 = -3*p. Factor p - 2*l**3 - 22 - 4*l**2.
-2*l**2*(l + 2)
Let j(u) = u + 1. Let f(x) = -4 + 0*x**2 - 7*x + 2*x + x**2. Let l(z) = -f(z) - 4*j(z). Factor l(c).
-c*(c - 1)
Let c(x) be the first derivative of -x**4/2 + 2*x**3/3 + x**2 - 2*x - 4. Factor c(v).
-2*(v - 1)**2*(v + 1)
Let w be 1*0/((9/(-3))/3). Let t(g) be the third derivative of -5/12*g**6 + w*g + 0 + 2/3*g**5 - 1/3*g**4 - 2*g**2 + 0*g**3. Let t(n) = 0. Calculate n.
0, 2/5
Let p be 39/(-52)*-8*1. Suppose 0 = 6*r - 24 + p. Determine s so that 2/3*s - 2/9*s**2 + 2/9 - 2/3*s**r = 0.
-1, -1/3, 1
Let h be -1 - ((0 + 1)*-13)/7. Factor 0 + 2/7*r**5 - 8/7*r**2 - h*r**3 + 4/7*r**4 + 8/7*r.
2*r*(r - 1)**2*(r + 2)**2/7
Let i(n) be the second derivative of 0 - 1/84*n**7 - 2*n - 1/60*n**6 + 1/20*n**5 - 1/12*n**3 + 1/12*n**4 - 1/4*n**2. Solve i(p) = 0.
-1, 1
Solve -4/9 - 2/3*m - 2/9*m**2 = 0 for m.
-2, -1
Let h(k) = 2*k**4 - 6*k**2 + 7*k - 3. Suppose 6*v = 3*v + 3, 4*v - 7 = -3*y. Let l(c) = c - 1. Let t(n) = y*h(n) - 3*l(n). Factor t(m).
2*m*(m - 1)**2*(m + 2)
Let t be (-10)/4*(-12)/40. Suppose -4*w + 1 = -11. What is g in w + t*g**3 + 15/4*g**2 + 6*g = 0?
-2, -1
Factor -40/3*l**3 - 20/3*l - 4/3*l**5 - 4/3 - 40/3*l**2 - 20/3*l**4.
-4*(l + 1)**5/3
Factor -18/11*r + 4/11 - 10/11*r**3 + 24/11*r**2.
-2*(r - 1)**2*(5*r - 2)/11
Let p be 589/(-124) - (-6 - -1). Find v such that -p*v**2 - 1 + v = 0.
2
Let r(f) be the second derivative of 1/6*f**3 + 0*f**4 + 0 + 0*f**2 + 3*f - 1/20*f**5. Factor r(n).
-n*(n - 1)*(n + 1)
Factor 2/7*c**5 - 92/7*c**2 + 60/7*c**3 - 18/7 + 66/7*c - 18/7*c**4.
2*(c - 3)**2*(c - 1)**3/7
Let t(b) = b**3 + 6. Let o be t(0). Suppose o*q - 2*f - 14 = 2*q, -4*q - 7 = 5*f. Factor 2/7 - 8/7*d - 2/7*d**q + 8/7*d**3.
2*(d - 1)*(d + 1)*(4*d - 1)/7
Factor 0 + 3/8*f + 3/4*f**2 + 3/8*f**3.
3*f*(f + 1)**2/8
Let c(r) be the first derivative of 16*r**5/5 + 20*r**4 + 44*r**3 + 40*r**2 + 16*r + 13. Suppose c(o) = 0. Calculate o.
-2, -1/2
Let j be (-2)/(-9) + (-66)/54. Let r = 3 + j. Let -v - 2*v**r - 3*v + 2*v = 0. What is v?
-1, 0
Suppose -8/9*n + 8/9*n**3 - 8/9 + 2/3*n**2 + 2/9*n**4 = 0. Calculate n.
-2, -1, 1
Let w(u) be the third derivative of 2*u**7/315 - u**6/30 + u**5/15 - u**4/18 - u**2. Suppose w(b) = 0. Calculate b.
0, 1
Suppose 20 = -4*r, -3*m + 5*r + 16 = 3*r. Let y be -2*(-1 + (-6)/4). Suppose -4*z**5 - m*z**4 + 0*z + 2*z**y + 0*z = 0. What is z?
-1, 0
Let z = 4 - 11/3. Factor 0 - 1/6*d**2 - z*d.
-d*(d + 2)/6
Let d be (45/(-6))/((-15)/125). Let o = d - 61. Determine f, given that -o*f + 3 - 3/2*f**2 = 0.
-2, 1
Let t(z) be the first derivative of z**4/16 + z**3/12 - z**2/8 - z/4 - 47. Factor t(a).
(a - 1)*(a + 1)**2/4
Let i = -2243/3 + 749. Factor i - 6*h + 14/3*h**2.
2*(h - 1)*(7*h - 2)/3
Let m(q) = q**3 + 17*q**2 - 19*q - 16. Let j be m(-18). Let p(s) be the first derivative of s - 3 - s**3 - 1/2*s**4 + 0*s**j. Factor p(y).
-(y + 1)**2*(2*y - 1)
Let k(v) be the second derivative of -v**4/36 + v**3/6 - v**2/3 + 4*v. What is m in k(m) = 0?
1, 2
Let y(m) be the first derivative of m**6/6 - 9*m**5/5 + 15*m**4/2 - 44*m**3/3 + 12*m**2 + 41. Suppose y(a) = 0. What is a?
0, 2, 3
Let w(g) be the second derivative of -3*g**4/2 + 34*g**3/3 + 8*g**2 + 16*g. Determine c so that w(c) = 0.
-2/9, 4
Let q(l) be the second derivative of -5*l**4/72 - 5*l**3/6 - 15*l**2/4 - 5*l. Factor q(x).
-5*(x + 3)**2/6
What is r in 2*r**2 - 42/11*r**3 + 34/11*r**4 + 0 - 10/11*r**5 - 4/11*r = 0?
0, 2/5, 1
Let d be (-4)/6 - 68/(-12). Let c(f) be the first derivative of f**2 - 1/2*f**4 + 1/5*f**d - 2 + 0*f**3 - f. Suppose c(s) = 0. Calculate s.
-1, 1
Let l(r) be the first derivative of -2/5*r**2 - 2/15*r**3 + 6/5*r + 5. Suppose l(n) = 0. Calculate n.
-3, 1
Suppose 6*f - 30 = 3*f. Determine o, given that -2*o + 3*o + 12*o**5 - f*o**5 - 4*o**3 + o = 0.
-1, 0, 1
Let b be 3 - 9 - 9/(-3). Let u be ((-1)/b)/(4/6). Suppose -1/4*h + u + 3/4*h**4 + 1/4*h**3 - 5/4*h**2 = 0. Calculate h.
-1, 2/3, 1
Let l(j) be the second derivative of j**5/24 + j**4/36 - 4*j. Let l(h) = 0. What is h?
-2/5, 0
Factor -24*j**2 - 35*j + 8*j**3 + 90*j - 35*j - 4*j**3.
4*j*(j - 5)*(j - 1)
Suppose 3*d - s = 7, 3*s = -3*d - 0