+ 2388/10. Let q = c - 238. What is z in 0 - 2/5*z**2 + q*z = 0?
0, 2
Let b(d) = 5*d**2 - 3*d. Let m(o) = -o**2 - o + 17. Let h be m(0). Let q = h + -24. Let t(s) = 2*s**2 - s. Let i(a) = q*t(a) + 2*b(a). Let i(l) = 0. What is l?
0, 1/4
Factor 5/6*u - 2/3 - 1/6*u**2.
-(u - 4)*(u - 1)/6
Let x(j) be the second derivative of -2*j - 1/80*j**5 + 0 + 1/24*j**3 + 1/120*j**6 + 0*j**2 - 1/48*j**4. Factor x(r).
r*(r - 1)**2*(r + 1)/4
Let n(a) be the first derivative of -4 + 0*a - 4/5*a**5 + 0*a**3 + 0*a**2 + 1/2*a**4 + 1/3*a**6. Solve n(k) = 0 for k.
0, 1
Let t(i) be the second derivative of i**8/2400 + i**7/525 + i**6/600 - i**5/150 - i**4/4 - 5*i. Let n(a) be the third derivative of t(a). Solve n(y) = 0.
-1, 2/7
Suppose 0 = 16*w - 19*w - 6. Let y be w/7 - 10/(-35). Factor y + 50/3*l**3 + 2/3*l - 20/3*l**2.
2*l*(5*l - 1)**2/3
Let j = 247 - 739/3. Solve j*a + 0 + 1/3*a**2 = 0 for a.
-2, 0
Factor 2*w + 9*w**2 - 19*w**2 + 12*w**2.
2*w*(w + 1)
Suppose i - 4*v + 16 - 8 = 0, 3*i + 3*v - 21 = 0. Suppose -1/2*b**3 + 0*b + 1/6*b**i + 1/3*b**2 + 0 = 0. What is b?
0, 1, 2
Let w(n) be the first derivative of 2/5*n**4 - 6 - 6/5*n**3 + 6/5*n**2 - 2/5*n. Factor w(f).
2*(f - 1)**2*(4*f - 1)/5
Solve 31 - 14 - 19 + 2*y**2 = 0.
-1, 1
Let r(m) be the third derivative of m**7/35 - 7*m**6/40 + 7*m**5/20 - m**4/4 + 21*m**2. Suppose r(p) = 0. What is p?
0, 1/2, 1, 2
Suppose x - 2*x + 4 = 0. Find m, given that 11*m - m**x + 2*m**2 - 9*m - 2*m**3 - m**4 = 0.
-1, 0, 1
Let g(s) be the third derivative of s**5/180 + s**4/18 + 2*s**3/9 - 20*s**2. Suppose g(l) = 0. What is l?
-2
Factor -12*m - 15*m**4 + 5 + 5*m**5 - 110*m**2 + 10*m**3 - 3*m + 120*m**2.
5*(m - 1)**4*(m + 1)
Let i be 5 + (-1 - (3 + -3)). Let j(o) = -o + 4. Let b be j(i). Find w such that 3/2*w**3 + b - w**2 - 1/2*w = 0.
-1/3, 0, 1
Let v(s) be the first derivative of s**5/10 - 7*s**3/6 - 3*s**2/2 + 15. Find p, given that v(p) = 0.
-2, -1, 0, 3
Let k(w) be the second derivative of w**7/7560 - w**6/2160 + 5*w**4/12 + 6*w. Let r(j) be the third derivative of k(j). Determine p so that r(p) = 0.
0, 1
Let t(y) = -y**2 - 22*y - 21. Let i be t(-21). Factor 1/2*j**2 + i + 1/4*j**3 + 0*j.
j**2*(j + 2)/4
Let u(b) = b**5 - b**3 + b + 1. Let h(r) = 6*r**5 - 3*r**4 - 6*r**3 + 3*r**2 + 3*r + 3. Let a(c) = h(c) - 3*u(c). Factor a(p).
3*p**2*(p - 1)**2*(p + 1)
Find j, given that 0 - 1/4*j**2 - 11/4*j = 0.
-11, 0
Solve 6/5*v**3 + 3/5*v**2 - 3*v + 6/5 = 0 for v.
-2, 1/2, 1
Suppose 0 + 0*w**4 + 4/11*w**3 - 2/11*w + 0*w**2 - 2/11*w**5 = 0. What is w?
-1, 0, 1
Let z be (-3)/(-1) - 1/(-1). Let q(m) be the first derivative of -m**2 + 0*m + 2/3*m**3 + 1/2*m**z - 2/5*m**5 - 1. Let q(w) = 0. Calculate w.
-1, 0, 1
Let t(r) be the first derivative of r**5/3 - 5*r**4/6 - 5*r**3/9 + 5*r**2/3 - 12. Determine d so that t(d) = 0.
-1, 0, 1, 2
Let c = 402 + -799/2. Determine i so that -c*i**4 + 0*i**2 + 0*i + 0 + i**3 = 0.
0, 2/5
Let f(l) be the third derivative of -3*l**7/1120 + l**6/80 - l**5/40 + l**4/8 - 3*l**2. Let n(c) be the second derivative of f(c). Factor n(t).
-3*(3*t - 2)**2/4
Let l(d) = -2*d + 9. Let v be l(6). Let x(z) = -4*z**4 - 6*z**3 - 10*z + 10. Let s(h) = h**4 + 2*h**3 + 3*h - 3. Let r(p) = v*x(p) - 10*s(p). Factor r(f).
2*f**3*(f - 1)
Let k = -9/10 + 23/20. Solve 0 + 0*p - 1/2*p**4 - 1/4*p**5 + 0*p**2 - k*p**3 = 0.
-1, 0
Let r(c) be the second derivative of c**4/30 - 6*c**3/5 + 81*c**2/5 + 24*c. Suppose r(o) = 0. Calculate o.
9
Let h(n) be the third derivative of n**8/30240 - n**7/3780 + n**6/1620 + n**4/8 + 4*n**2. Let w(m) be the second derivative of h(m). Solve w(c) = 0 for c.
0, 1, 2
Let d(l) = 12*l**5 - 3*l**4 + 3*l**3 + 6*l**2 + 6*l + 6. Let a(t) = 23*t**5 - 6*t**4 + 5*t**3 + 11*t**2 + 11*t + 11. Let f(n) = 6*a(n) - 11*d(n). Factor f(z).
3*z**3*(z - 1)*(2*z + 1)
Solve 4*v**4 - 12 - 24*v**2 + 32*v + 0 + 0 = 0.
-3, 1
Factor 37*o**2 - 4*o**5 + 15*o**2 + 23*o**4 + 5*o**4 - 19*o + 3*o - 60*o**3.
-4*o*(o - 4)*(o - 1)**3
Let o(p) be the first derivative of -2*p**3/27 - 4*p**2/9 + 3. Factor o(y).
-2*y*(y + 4)/9
Let x(b) be the third derivative of -b**5/120 - 7*b**4/72 - 2*b**3/9 - 14*b**2. Suppose x(y) = 0. What is y?
-4, -2/3
Let h(i) = 5*i**3 + 6*i**2 - 9*i - 10. Let n(z) = -z**2 - z. Let y(m) = h(m) + 6*n(m). Factor y(k).
5*(k - 2)*(k + 1)**2
Determine a, given that 1/2 + 3/2*a**2 - 1/2*a**3 - 3/2*a = 0.
1
Suppose 0 = 3*h + 4*f + 2, -8 = -2*h - 0*f + 2*f. Let b(n) be the second derivative of 2/3*n**3 + n + 7/10*n**5 + 0 - 3/2*n**4 + 0*n**h. Factor b(l).
2*l*(l - 1)*(7*l - 2)
Suppose 4*s = 5*i + 16, 5*i - 7*s - 20 = -12*s. Solve 1/6*l**5 - 1/6*l**3 + 0*l + i - 1/6*l**2 + 1/6*l**4 = 0.
-1, 0, 1
Let g(c) = c**2 - c - 4. Let u be g(3). Factor -n**u + 8*n - 5*n + 5*n - 8 - n**2.
-2*(n - 2)**2
Suppose -5*m + 5*u + 14 = u, 3 = m - u. Factor 3*a + 3/2*a**m + 0.
3*a*(a + 2)/2
Let o(k) be the first derivative of -3*k**5/5 + k**4 + k**3/3 - k**2 - 5. Factor o(l).
-l*(l - 1)**2*(3*l + 2)
Let j(c) be the second derivative of 2*c**7/21 + 4*c**6/15 - 2*c**4/3 - 2*c**3/3 + 9*c. Factor j(m).
4*m*(m - 1)*(m + 1)**3
Let j(y) be the third derivative of y**5/60 + 7*y**4/120 - y**3/5 + 10*y**2. Factor j(n).
(n + 2)*(5*n - 3)/5
Let c(s) be the first derivative of s**5 + 5*s**4/4 - 5*s**3/3 - 5*s**2/2 - 32. Find x such that c(x) = 0.
-1, 0, 1
Factor 5*c**3 + 25*c**2 - 3*c**3 - 23*c**2 - 16*c - 24.
2*(c - 3)*(c + 2)**2
Let g(j) = j**3 - 2*j**2 - 6*j - 7. Let n(p) = -p - 1. Let h(s) = -3*g(s) + 21*n(s). Suppose h(t) = 0. What is t?
0, 1
Suppose -16 = 97*c - 105*c. Factor 0 + 3/4*k**c + 0*k**3 + 0*k - 3/4*k**4.
-3*k**2*(k - 1)*(k + 1)/4
Suppose 0*s + 48 = 16*s. Factor 0*l - 6/7*l**s + 2/7*l**2 + 0.
-2*l**2*(3*l - 1)/7
Suppose 2*h + 4*p - 5 + 13 = 0, 5*p = -15. Let w(u) be the first derivative of 0*u + 0*u**4 + 0*u**3 - 1 + 0*u**h - 1/5*u**5 + 1/6*u**6. Factor w(v).
v**4*(v - 1)
Let y(o) be the second derivative of -o**8/1680 + o**7/420 - 2*o**3/3 + o. Let j(h) be the second derivative of y(h). Factor j(x).
-x**3*(x - 2)
Factor x**5 - 2 + x**5 - 2*x**4 + 2.
2*x**4*(x - 1)
Factor 16 + 4*v - 6*v - 3*v - 6 - 5*v**2.
-5*(v - 1)*(v + 2)
Let b(j) = -2*j - 14. Let v be b(-11). Let h be ((-2)/v)/(10/(-48)). Find u such that -4/5*u + 2*u**3 + 0 + h*u**2 = 0.
-1, 0, 2/5
Let y(j) be the third derivative of j**7/210 - j**6/45 + j**5/30 + 5*j**3/3 + 3*j**2. Let d(s) be the first derivative of y(s). Factor d(a).
4*a*(a - 1)**2
Let x(d) = 8*d**2 - 8*d + 4. Let t(b) = 9*b**2 - 8*b + 4. Let i(y) = -4*t(y) + 5*x(y). Determine g, given that i(g) = 0.
1
Let x(h) be the second derivative of -h**4/8 + h**3/2 - 3*h**2/4 - 42*h. Factor x(p).
-3*(p - 1)**2/2
Let f(m) be the second derivative of 1/21*m**3 - 3*m + 0*m**2 + 1/42*m**4 + 0. Let f(n) = 0. Calculate n.
-1, 0
Let t be 24/(-20)*(-5)/2. Factor -h**2 - 9*h - h**3 - 6*h**2 + 5*h + t*h**2.
-h*(h + 2)**2
Let p = -16 - -65/4. Factor p*i**2 + 0 + 0*i.
i**2/4
Let u be (-1)/(-6) - (-11)/22. Factor 0 + u*f - 8/3*f**2.
-2*f*(4*f - 1)/3
Let v = 5 + -3. Let s**2 + 5*s + s**v - 3*s = 0. Calculate s.
-1, 0
Let v = -13 + 16. Find x, given that -v*x**2 + 4*x**2 + 0*x**2 - 4*x**2 = 0.
0
Let v(i) be the third derivative of -i**6/240 + i**5/120 + i**4/48 - i**3/12 - 7*i**2. Factor v(w).
-(w - 1)**2*(w + 1)/2
Let b(a) be the third derivative of -1/3*a**3 + 0*a + 0*a**4 + 0 + 8*a**2 + 1/30*a**5. Suppose b(v) = 0. What is v?
-1, 1
Let x(y) be the first derivative of 2*y**6/3 - 4*y**5 + 6*y**4 + 8*y**3/3 - 14*y**2 + 12*y + 4. Find j such that x(j) = 0.
-1, 1, 3
Suppose 3/7*h + 0 - 6/7*h**2 + 3/7*h**3 = 0. Calculate h.
0, 1
Let x(r) = -r**2 - r - 1. Let g(a) = 7*a**2 + 0*a**2 + 3*a + 2*a**2 + 3*a**2 + 6. Let m(q) = -2*g(q) - 14*x(q). Let m(b) = 0. What is b?
-1/5, 1
Let t(a) be the second derivative of a**5/40 + a**4/24 - a**3/6 - 4*a. Factor t(w).
w*(w - 1)*(w + 2)/2
Let j(n) = -n**2 + 8*n + 2. Let w be j(8). Solve 0*o - w*o**2 - 2/3*o**3 + 8/3 = 0 for o.
-2, 1
Let z be (((-256)/280)/(-16))/((-2)/(-120)). Find q, given that 36/7*q**2 - z*q + 4/7 = 0.
1/3
Suppose -5*m = 3 - 18. Suppose 0 = 2*p - m - 1. Solve -2*y + 1/2*y**2 + p = 0 for y.
2
Let g(r) be the first derivative of -3/10*r**5 - 4*r**2 + 5/6*r**4 + 4/3*r**3 - 3*r - 3. Let z(q) be the first derivative of g(q). Factor z(b).
-2*(b - 2)*(b + 1)*(3*b - 2)
What is f in -2/11 + 2/11*f**2 + 0*f