)/19
What is u in 9/2*u**2 + 2*u**3 + 0 + u = 0?
-2, -1/4, 0
Let v(s) be the third derivative of s**6/540 + s**5/90 + s**4/36 + s**3/27 - 2*s**2. Let v(x) = 0. Calculate x.
-1
Let w(p) be the first derivative of -p**3 + 1 + 0*p - 3/2*p**2. Factor w(t).
-3*t*(t + 1)
Let r = -28 + 21. Let d be r/(-6)*6/28. Let -1/2*k**4 + 3/4*k**2 - 1/4*k**3 - 1/4 + d*k = 0. What is k?
-1, 1/2, 1
Suppose 2 = n - 0. Suppose 2*z - 3*z + n = -4*t, 0 = 2*z + t - 4. Suppose 1 + 0 + r**z + 3 - 4*r = 0. What is r?
2
Suppose 3*y = 3 + 9. Let d be y/(-14) + 212/56. Factor 3/2*b + 1/2*b**5 + 4*b**3 - 1/4 - 9/4*b**4 - d*b**2.
(b - 1)**4*(2*b - 1)/4
Determine d so that -165*d**2 - 5*d**3 + 170*d**2 + 4*d + 0*d + 16*d - 20 = 0.
-2, 1, 2
Let r = 6 - -13. Let -g**3 + 4*g**4 - 5*g**5 - 19*g**2 + r*g**2 + 2*g**5 = 0. What is g?
0, 1/3, 1
Suppose -4*q = -4, -s + 2 - 3 = 3*q. Let n = 4 + s. Suppose 0*c**4 - c**4 + n*c**2 + c**2 = 0. What is c?
-1, 0, 1
Let u be (2/7)/(5/35). Determine s, given that -2*s**u - 7*s - 32 - 11*s + 2*s = 0.
-4
Let z = -6 + 1. Let i(q) = -q**3 - 4*q**2 + 4*q - 2. Let j be i(z). Find l, given that 2*l**2 - j*l**2 + 2*l**4 - l**2 + 2*l**3 - 2*l = 0.
-1, 0, 1
Let c(v) be the second derivative of 1/45*v**6 - 1/18*v**4 + 1/30*v**5 - 4*v - 1/9*v**3 + 0 + 0*v**2. Factor c(l).
2*l*(l - 1)*(l + 1)**2/3
Let b(p) be the third derivative of p**8/1512 - p**7/315 + p**6/270 + p**5/135 - p**4/36 + p**3/27 + 3*p**2. Let b(n) = 0. Calculate n.
-1, 1
Let b = -3 - -6. Let -7*n**2 - 2*n**3 - 12 - 8*n**2 - 24*n - n**b = 0. What is n?
-2, -1
Let h(a) be the first derivative of -a**3/3 + 3*a**2/2 - 2*a + 14. Factor h(p).
-(p - 2)*(p - 1)
Let s be 21/18 - 4/4. Let b(i) be the third derivative of 0 + 0*i - s*i**3 - 1/20*i**5 + 1/8*i**4 - 2*i**2 + 1/120*i**6. Factor b(o).
(o - 1)**3
Let z(u) = u**3 + 5*u**2 + 2. Suppose -4*p + 8*p - 20 = 0. Let h(x) = 11 - 3*x + p*x**3 + 4*x + 4*x - 6*x + 26*x**2. Let n(y) = 2*h(y) - 11*z(y). Factor n(g).
-g*(g + 1)*(g + 2)
Let s(r) be the third derivative of 1/6*r**3 + 0 - 1/30*r**6 + 2*r**2 - 1/4*r**4 + 3/20*r**5 + 0*r. Determine o so that s(o) = 0.
1/4, 1
Let g(i) be the third derivative of 4/15*i**3 + 0*i - i**2 + 1/50*i**5 - 1/10*i**4 + 0 - 1/600*i**6. What is l in g(l) = 0?
2
Let t(b) be the second derivative of -b**6/6 - 3*b**5/4 - 5*b**4/4 - 5*b**3/6 - 12*b. Factor t(m).
-5*m*(m + 1)**3
Let a(w) be the second derivative of 0*w**2 + 1/30*w**3 - 1/60*w**4 - w + 0. Find d such that a(d) = 0.
0, 1
Let t(j) be the first derivative of 0*j - 4/3*j**3 - 1/3*j**6 + j**2 + 0*j**4 - 2 + 4/5*j**5. Factor t(r).
-2*r*(r - 1)**3*(r + 1)
Factor -2/3*a + 0 + 8/3*a**4 + 4*a**2 - 6*a**3.
2*a*(a - 1)**2*(4*a - 1)/3
Let b(q) = -2*q**5 + q**3 - 5*q + 3. Let o(n) = -2*n**5 + 2*n**3 - 4*n + 2. Suppose -10 = 3*g - 4. Let x(p) = g*b(p) + 3*o(p). Solve x(u) = 0.
-1, 0, 1
Let t = -201 + 204. Factor 24/11*r - 26/11*r**2 + 12/11*r**t - 2/11*r**4 - 8/11.
-2*(r - 2)**2*(r - 1)**2/11
Let k(r) be the second derivative of 2*r**6/15 - r**5/5 - r**4 + 2*r**3/3 + 4*r**2 + 5*r. Factor k(o).
4*(o - 2)*(o - 1)*(o + 1)**2
Suppose 0 = -5*k + 2*k - 63. Let h = 25 + k. Factor -1/4*o**3 + 1/4*o + 1/4*o**h - 1/4*o**2 + 0.
o*(o - 1)**2*(o + 1)/4
Let k be (5/4*2)/((-20)/(-12)). Determine q so that 3/4*q - 3/4*q**3 - 3/2*q**2 + k = 0.
-2, -1, 1
Let s = -109 - -109. Determine x, given that 0*x**2 + 0*x + s + 2/9*x**4 + 2/9*x**3 = 0.
-1, 0
Let w(d) = 2*d**4 - 11*d**3 - d**2 + 5. Let u(m) = 6*m**4 - 34*m**3 - 4*m**2 + 16. Let x(v) = -5*u(v) + 16*w(v). Factor x(b).
2*b**2*(b - 2)*(b - 1)
Let p(i) = -i**3 - 2*i - 4. Let n(s) = s**3 + s + 3. Let d(m) = -5*n(m) - 4*p(m). Let o(v) be the first derivative of d(v). Let o(r) = 0. Calculate r.
-1, 1
Let w(h) = 4*h**2 + 2*h. Let u(y) = -5*y**2 - 2*y. Suppose -1 + 13 = 3*z. Let a(o) = z*w(o) + 3*u(o). Determine n, given that a(n) = 0.
-2, 0
Let z(m) be the second derivative of -m**7/14 + 2*m**6/5 - 9*m**5/10 + m**4 - m**3/2 + 3*m. Find s such that z(s) = 0.
0, 1
Solve -35*i**4 - i**3 + 20*i**4 - 5*i**2 + i + 16*i**4 + 4*i**2 = 0.
-1, 0, 1
Let z(d) = 2*d + 26. Let k be z(-13). Factor 2/7*c**2 + 2/7*c + k.
2*c*(c + 1)/7
Find b such that 2/15 + 4/5*b**2 + 2/15*b**4 + 8/15*b**3 + 8/15*b = 0.
-1
Suppose -4*v + 3*w + 18 = 0, 0 = -v - 2*v - 5*w - 1. Suppose -2*o + 7*o = -v*m - 14, -o = 2*m. What is s in -4/3 + 2/3*s**m + 2/3*s = 0?
-2, 1
Suppose -4 = -2*o - 2. Let g be -1 + o + (-5)/(-15). Factor 1/3*l**3 - 2/3*l**2 + 0 + g*l.
l*(l - 1)**2/3
Let l(s) be the third derivative of s**9/13440 - s**8/20160 - s**5/20 + 2*s**2. Let m(z) be the third derivative of l(z). Factor m(h).
h**2*(9*h - 2)/2
Find p, given that 4/3*p + 12*p**3 + 28/3*p**4 + 8/3*p**5 + 20/3*p**2 + 0 = 0.
-1, -1/2, 0
Let l(b) be the second derivative of b**6/540 + b**5/90 + b**4/36 - b**3/2 + b. Let s(g) be the second derivative of l(g). Determine z, given that s(z) = 0.
-1
Let n be ((-81)/(-4))/(6/16). Determine q so that -q**3 - 18*q**2 - n + 54*q + 2*q**3 + 0*q**3 + q**3 = 0.
3
Let u(x) be the first derivative of 2*x**3/33 + x**2/11 + 7. Factor u(a).
2*a*(a + 1)/11
Let l = -162 - -1138/7. Factor -6/7 - l*f + 2/7*f**2.
2*(f - 3)*(f + 1)/7
Let i = -9 - -9. Let b(d) be the second derivative of 0*d**3 - d + 0*d**4 + 1/60*d**5 + i*d**2 + 0. Factor b(p).
p**3/3
Let v(i) be the first derivative of i**4/12 - i**3/9 - 2*i**2/3 + 4*i/3 - 24. What is f in v(f) = 0?
-2, 1, 2
Factor 0 + 0*q + 0*q**2 + 2/9*q**4 - 2/9*q**3.
2*q**3*(q - 1)/9
Let z(o) be the third derivative of o**6/180 + o**5/10 + 3*o**4/4 - 2*o**3/3 - 3*o**2. Let w(y) be the first derivative of z(y). Factor w(s).
2*(s + 3)**2
Let o be -2 + (3 + -3 - 1). Let w be 4/o*(-9)/42. Factor 2/7*r**3 + w*r**4 - 2/7*r**2 + 0 - 2/7*r**5 + 0*r.
-2*r**2*(r - 1)**2*(r + 1)/7
Let q(y) = -4*y**3 - 3*y**2 + y - 5 + 2*y**2 - 2*y - y**3. Let h(w) = w**3 + 1. Let t(v) = 6*h(v) + q(v). Factor t(n).
(n - 1)**2*(n + 1)
Let o = -7041/5 - -1413. Factor -2/5*h**3 - 16/5 - o*h - 12/5*h**2.
-2*(h + 2)**3/5
Let p(q) be the second derivative of -q**6/540 + q**5/45 - q**4/12 + 3*q**2 + 6*q. Let r(m) be the first derivative of p(m). Determine a so that r(a) = 0.
0, 3
Let z(h) be the second derivative of -h**4/72 - h**3/9 - h**2/4 + 5*h. Determine g, given that z(g) = 0.
-3, -1
Let t = -2/97 + 101/194. Factor 5*f**3 + 1/2*f**5 - 5/2*f**4 - t + 5/2*f - 5*f**2.
(f - 1)**5/2
Let i(q) = 4*q**2 - 3*q + 5. Let s(n) = -n - 5*n - 5*n**2 - 6 + 9*n. Let p(r) = -4*i(r) - 3*s(r). Suppose p(b) = 0. Calculate b.
1, 2
Let z(x) = 2*x**2 - 2. Let r be -2 - -3 - (-6)/(-1). Let u(y) = 4*y**2 - 5. Let m(b) = r*z(b) + 2*u(b). Factor m(a).
-2*a**2
Let x(u) = 2*u - 16. Let f be x(11). Let a be 3/f*-3*-2. Factor 6*h**2 - a - 4*h - 2*h + 2*h + 1.
2*(h - 1)*(3*h + 1)
Factor 2*a - 5 - 2*a**3 + 5.
-2*a*(a - 1)*(a + 1)
Let r(m) = -3*m**5 - m**4 - 5*m**3 - 3*m**2 + 2*m - 2. Let k(a) = 4*a**5 + 6*a**3 + 4*a**2 - 3*a + 3. Let p(w) = -2*k(w) - 3*r(w). Find n such that p(n) = 0.
-1, 0
Let z(w) be the second derivative of 0*w**2 + 5*w + 0 + 0*w**3 + 1/10*w**6 + 3/20*w**5 + 0*w**4. What is k in z(k) = 0?
-1, 0
Let d(a) = 5*a**4 - 66*a**3 + 175*a**2 - 114*a + 11. Let l(f) = -f**4 + 13*f**3 - 35*f**2 + 23*f - 2. Let v(s) = -4*d(s) - 22*l(s). Find n, given that v(n) = 0.
0, 1, 5
Suppose 4*o - 2*j - 4 = 3*o, -2*o + 5*j = -8. Suppose 0 = -2*s + 4*s - o. Factor 0*r + 2/5*r**s - 2/5.
2*(r - 1)*(r + 1)/5
Let q(d) be the first derivative of d**4/20 - 6*d**2/5 + 3*d - 2. Let w(t) be the first derivative of q(t). Find n, given that w(n) = 0.
-2, 2
Let r(w) be the first derivative of -4/3*w**3 - 2 - w**2 + 0*w - 1/2*w**4. Factor r(i).
-2*i*(i + 1)**2
Let b(g) = 4*g**2 - 39*g + 57. Suppose -4*h = 14 + 14. Let d(t) = 2*t**2 - 19*t + 29. Let n(q) = h*d(q) + 3*b(q). What is a in n(a) = 0?
4
Let s(w) be the first derivative of w**4/12 - 4*w**3/9 + w**2/2 + 6. Suppose s(n) = 0. What is n?
0, 1, 3
Let l(q) be the third derivative of q**5/210 - q**2 + 9*q. Factor l(m).
2*m**2/7
Let q(j) be the first derivative of -16*j**2 - 9/2*j**4 + 8*j + 14*j**3 - 4. Factor q(w).
-2*(w - 1)*(3*w - 2)**2
Let p = -35 - -106/3. Let r = 96 - 287/3. Factor 0*q + r*q**2 - p.
(q - 1)*(q + 1)/3
Let b = 83/54 - 1/27. Suppose -2*a + 1/2 + b*a**2 = 0. Calculate a.
1/3, 1
Let v = 16 - 12. Let y(z) be the second derivative of -1/20*z**5 + 1/6*z**2 + 