mine a, given that f + 0*a - 2/5*a**2 = 0.
0
Let i(b) = 5*b**2 + 2*b**3 - 7*b**2 + b**3. Let a(z) = 5*z**3 - 3*z**2. Let m(w) = 5*a(w) - 8*i(w). Factor m(d).
d**2*(d + 1)
Let w be (-272)/(-320) - (0 - (-1)/4). Factor -9/5*k**2 + w*k**3 + 9/5*k - 3/5.
3*(k - 1)**3/5
Let z(w) = w + 4. Let q be z(-6). Let j(n) = -1. Let a(g) = -7*g**3 + 2*g**2 + 7*g - 7. Let k(x) = q*a(x) + 10*j(x). Factor k(t).
2*(t - 1)*(t + 1)*(7*t - 2)
Find w, given that 0*w - 8/9*w**3 - 8/9*w**2 + 0 - 2/9*w**4 = 0.
-2, 0
Let o(n) be the second derivative of n**6/70 + 3*n**5/140 - 3*n**4/28 - 5*n**3/14 - 3*n**2/7 - 9*n. Let o(i) = 0. Calculate i.
-1, 2
Let p(w) = -w**2 - 8*w - 6. Let z be p(-6). Factor 2*h + z*h + 0 + 0*h - 2*h**2 - 8.
-2*(h - 2)**2
Suppose 0 = -c - 7 + 27. Suppose -5*q + c = 2*r, -r + 14 = 2*q + r. Suppose -5 + 3 + n**4 + 3 - 2*n**q = 0. Calculate n.
-1, 1
Suppose -5*d - 5 = 2*m, -5*m + 5 = -5*d - 2*m. Let v be (20/30)/(d/(-3)). Factor 2/3*q + 1 - 1/3*q**v.
-(q - 3)*(q + 1)/3
Suppose -2*s - 23 = 3*h - 10, 20 = -4*h. Let u = s - 3/5. Factor 2/5*y**3 + 6/5*y**2 + 6/5*y + u.
2*(y + 1)**3/5
Let z(j) = 24*j**4 - 64*j**3 + 43*j**2 - 5*j - 13. Let w(y) = -12*y**4 + 32*y**3 - 22*y**2 + 2*y + 6. Let x(a) = -5*w(a) - 2*z(a). Factor x(g).
4*(g - 1)**3*(3*g + 1)
Let k(y) be the first derivative of 1/3*y**3 + 0*y**2 - 1/60*y**4 - 1/150*y**5 - 1 + 0*y - 1/900*y**6. Let t(s) be the third derivative of k(s). Factor t(r).
-2*(r + 1)**2/5
Let u(i) be the first derivative of i**4/18 + 2*i**3/3 + 3*i**2 + i - 3. Let a(f) be the first derivative of u(f). Factor a(m).
2*(m + 3)**2/3
Let y(t) be the third derivative of t**8/336 - t**7/70 + t**6/60 - 63*t**2. What is x in y(x) = 0?
0, 1, 2
Let r(k) be the third derivative of -1/40*k**5 + 2*k**2 + 1/8*k**4 + 0 - 1/4*k**3 + 0*k. Factor r(h).
-3*(h - 1)**2/2
Let 429*f**4 - 427*f**4 - 2*f**3 + 0*f**3 = 0. What is f?
0, 1
Let n be 50/36*4/140. Let u(m) be the second derivative of 1/45*m**6 + n*m**7 + 1/3*m**2 + 5/18*m**3 + 0 - 1/6*m**5 - 1/9*m**4 - m. Find b, given that u(b) = 0.
-1, -2/5, 1
Let m(u) be the third derivative of -4*u**2 + 1/30*u**5 - 1/30*u**7 + 0*u**3 + 0 + 0*u + 0*u**4 + 1/24*u**6. Suppose m(r) = 0. What is r?
-2/7, 0, 1
Let o(x) = -x**2 - 14*x + 18. Let z be o(-15). Let r(a) be the second derivative of 0 - 2*a + 1/42*a**4 + 0*a**z + 0*a**2. Factor r(q).
2*q**2/7
Find z, given that -2/9*z**2 + 0 + 2/9*z = 0.
0, 1
Let y(w) be the second derivative of -w**6/1260 - w**5/420 + w**3/6 - w. Let j(h) be the second derivative of y(h). Factor j(c).
-2*c*(c + 1)/7
Let q(d) be the second derivative of d**6/70 - 3*d**5/140 - 3*d**4/28 + d**3/14 + 3*d**2/7 + 20*d. Suppose q(c) = 0. What is c?
-1, 1, 2
Let s(t) be the first derivative of t**7/3360 - t**6/1440 + 2*t**3/3 + 3. Let q(p) be the third derivative of s(p). Suppose q(v) = 0. What is v?
0, 1
Factor 0*c - 3/5*c**5 + 0*c**2 + 0 - 6/5*c**3 - 9/5*c**4.
-3*c**3*(c + 1)*(c + 2)/5
Let k(u) = 7*u**3 + 9*u**2 - 2*u - 4. Let n(t) = -3*t**3 - 4*t**2 + t + 2. Let m(r) = -2*k(r) - 5*n(r). Suppose m(v) = 0. Calculate v.
-2, -1, 1
Let u be (4/6)/((-3)/(-18)). Suppose u*o - 12 = -0*o. Suppose 6/7*j**o + 2/7*j**2 + 2/7*j**4 - 6/7*j - 4/7 = 0. Calculate j.
-2, -1, 1
Factor w**2 - w**2 - w**2 - 4*w - 3*w**2.
-4*w*(w + 1)
Factor 7/6*s**4 + 1/2*s**5 + 0 - 1/2*s**2 - 1/3*s + 1/2*s**3.
s*(s + 1)**3*(3*s - 2)/6
Suppose -2*y - 3*y + 10 = 0. Let s be -1*(-5)/(105/27) + -1. Find l such that s - 2/7*l**y - 2/7*l**3 + 2/7*l = 0.
-1, 1
Let c = -13 - -13. Let o = 43 - 214/5. Factor -1/5*x**4 - 2/5*x**3 - o*x**2 + 0 + c*x.
-x**2*(x + 1)**2/5
Let w = 9 + -6. Solve -3*q**2 - 7*q**w + 5*q**2 + 5*q**3 = 0 for q.
0, 1
Let y(r) be the second derivative of r**8/2240 + r**7/560 + r**6/480 - 2*r**3/3 - r. Let z(f) be the second derivative of y(f). Let z(o) = 0. Calculate o.
-1, 0
Let r(x) be the third derivative of x**9/1728 - 3*x**8/2240 + x**7/1680 - x**3 + 7*x**2. Let v(h) be the first derivative of r(h). Factor v(f).
f**3*(f - 1)*(7*f - 2)/4
Let h(f) be the second derivative of f**7/98 - f**6/14 + 3*f**5/35 + 15*f. Solve h(q) = 0 for q.
0, 1, 4
Let z = -2099/60 - -35. Let x(k) be the third derivative of 0*k**3 + 0 - 1/90*k**5 + 0*k**4 - z*k**6 + 0*k + 2*k**2 - 1/105*k**7 - 1/504*k**8. Factor x(v).
-2*v**2*(v + 1)**3/3
Let m = 10/17 + -16/85. Let x(g) be the first derivative of 1/3*g**6 + 2 + 4/3*g**3 - m*g**5 - 2*g - g**4 + g**2. Factor x(z).
2*(z - 1)**3*(z + 1)**2
Factor 2/5*y**4 + 0 - 8/5*y - 2*y**3 + 16/5*y**2.
2*y*(y - 2)**2*(y - 1)/5
Let c(k) be the first derivative of k**3/3 - k**2 + 2*k + 1. Let a be c(2). Let -b + 2*b**3 + 14*b**a - b**3 - 13*b**2 - b**4 = 0. What is b?
-1, 0, 1
Let q(h) = -3*h**3 - h**4 + 20*h - 19*h - 3*h**4 - 2 + 5*h**3. Let d(r) = -11*r**4 + 6*r**3 + 2*r - 5. Let a(g) = 3*d(g) - 8*q(g). Find u such that a(u) = 0.
-1, 1
Let l(m) = 2*m**3 - 3*m**2 - 5*m. Let b(h) = 12*h**3 - 17*h**2 - 29*h. Let g(s) = -6*b(s) + 34*l(s). Factor g(y).
-4*y*(y - 1)*(y + 1)
Let w = 16 + -17. Let s be -4 + (w + -1 - -10). Solve -q - 1/2*q**2 + q**3 + 0 + 1/2*q**s = 0 for q.
-2, -1, 0, 1
Find k such that 6*k**4 - 8*k**3 - 2*k**5 - k**4 - 13*k**4 = 0.
-2, 0
Determine y, given that -4*y**3 + 4/5*y**2 + 36/5*y**5 + 0*y + 12/5*y**4 + 0 = 0.
-1, 0, 1/3
Let c(l) be the first derivative of -l**5 - 45*l**4/4 - 45*l**3 - 135*l**2/2 + 14. Determine b so that c(b) = 0.
-3, 0
Find n such that 11*n**2 + 6*n**4 - 18*n**3 - 2*n + 2*n**3 + n**4 = 0.
0, 2/7, 1
Let u(z) be the second derivative of -5*z**4/12 - 20*z**3/3 - 35*z**2/2 - 7*z. Factor u(t).
-5*(t + 1)*(t + 7)
Let h = 4 - 2. Let i = 11 + -8. Factor -n + h*n**i + n.
2*n**3
Let d(r) be the second derivative of 1/9*r**3 + 2*r + 0 - 1/30*r**5 + 0*r**4 - 1/90*r**6 + 1/6*r**2. Determine w, given that d(w) = 0.
-1, 1
Let u(p) be the third derivative of 0 + 0*p + 1/3*p**3 + 1/8*p**4 + 1/60*p**5 - 8*p**2. Determine i, given that u(i) = 0.
-2, -1
Let z(b) be the first derivative of -b**4/24 - b**3/9 + b**2/3 + 4*b/3 + 12. What is o in z(o) = 0?
-2, 2
Let r be (-4)/4 - (-39)/33. Solve r*u**2 - 4/11 + 2/11*u = 0 for u.
-2, 1
Let x(p) = 3*p**2 - p - 2. Let o(i) = -i**2 + i. Suppose 3*d + 4*w = -d - 16, -3*d = 4*w + 17. Let c(u) = d*o(u) + x(u). Factor c(v).
2*(v - 1)*(v + 1)
Factor 4 - 6*y**2 - 1 - 3*y**3 + 9*y - 3.
-3*y*(y - 1)*(y + 3)
Let z(a) be the second derivative of a**7/28 - 3*a**5/20 + a**3/4 - 10*a. Suppose z(i) = 0. What is i?
-1, 0, 1
Let m(b) be the second derivative of 1/147*b**7 - 1/42*b**4 - 1/70*b**5 + 0*b**3 + 0*b**2 + 1/105*b**6 + b + 0. Factor m(n).
2*n**2*(n - 1)*(n + 1)**2/7
Let m(t) be the second derivative of -t**4/36 + 5*t**3/6 - 37*t. Factor m(y).
-y*(y - 15)/3
Let h = 21/127 + 191/381. Factor -h*x**2 - 1/3*x**3 - 1/3*x + 0.
-x*(x + 1)**2/3
Let j be -3*(-8)/(-12) + 29. Let s be 18/j + (-7)/(-12). Solve 7/4*d**2 - s*d**4 - 3/4*d**3 + 3/4*d - 1/2 = 0 for d.
-1, 2/5, 1
Let a(o) be the third derivative of -o**8/560 + o**7/140 - o**6/120 + o**3/6 + 5*o**2. Let t(l) be the first derivative of a(l). Factor t(x).
-3*x**2*(x - 1)**2
Determine g so that 8/3*g**2 + 0*g + 0 + 1/3*g**3 = 0.
-8, 0
Let m(y) = -3*y + 98. Let n be m(31). Let x = 49/2 + -24. Suppose n*d**3 + 5/2*d**4 + 5/2*d + 5*d**2 + 1/2 + x*d**5 = 0. Calculate d.
-1
Let n(c) = -1 + 5 + 3*c - 2*c. Let a be n(-4). Factor a - 2*h**2 - 4 - 4 - 8*h.
-2*(h + 2)**2
Let m(p) be the third derivative of -p**5/60 - p**4/24 - 2*p**2. Let l(t) = 4*t**2 + 6*t + 2. Let f(y) = -l(y) - 5*m(y). Determine j, given that f(j) = 0.
-1, 2
Let z(m) be the first derivative of -4*m**3/15 - 9*m**2/10 - 2*m/5 + 11. Factor z(d).
-(d + 2)*(4*d + 1)/5
Let s = -13 - -16. Let v(k) be the third derivative of 0*k**4 + 0*k - 2*k**2 + 0 + 0*k**5 + 0*k**s - 1/300*k**6. Find t, given that v(t) = 0.
0
Let r = 10 - 7. Solve -c**2 + 2*c**2 - r*c**2 + 2*c = 0.
0, 1
Let r(l) be the second derivative of -1/36*l**4 - 1/9*l**3 + 3*l + 0*l**2 + 0. What is h in r(h) = 0?
-2, 0
Let l = -231 - -231. Factor 0 - 2/9*z**3 + l*z**2 + 2/9*z.
-2*z*(z - 1)*(z + 1)/9
Suppose -b = 2*w + 2*b - 7, 2*b = -3*w + 3. Let n be (3 + 10/(-3))/w. Suppose 1/3*i**3 - i**2 - n + i = 0. Calculate i.
1
Let 2*i**5 - 10*i**2 + i**5 - 30*i**4 - 86*i**2 + 12*i**3 + 84*i**3 = 0. What is i?
0, 2, 4
Let f(l) be the first derivative of -4/15*l**3 + 7 - 2/5*l + 3/5*l**2. Suppos