?
-2, 0, 2/7
Let i be 1036/12 + 6/9. Factor -87 + i - 3*z**4 - 2*z**3 + z**4.
-2*z**3*(z + 1)
Let h = -8904 + 8907. Factor 0 + 2/3*k**4 + 8/3*k**h + 2*k**2 + 0*k.
2*k**2*(k + 1)*(k + 3)/3
Factor 106/9 - 2/9*s**2 - 104/9*s.
-2*(s - 1)*(s + 53)/9
Let y = -819 + 4915/6. Let r(j) be the first derivative of -1/2*j + 1/2*j**2 - y*j**3 - 5. Factor r(x).
-(x - 1)**2/2
Let k be 5/1 - (368/48)/((-15)/(-9)). Determine y, given that 4/5 + k*y + 4/5*y**4 - 8/5*y**2 - 4/5*y**3 + 2/5*y**5 = 0.
-2, -1, 1
Suppose -7 = 3*s - 3*i - 640, 0 = -s + 2*i + 215. What is u in -98*u**5 - 526*u**3 - 30*u**2 - s*u**2 - 24*u - 448*u**4 + 37*u**2 = 0?
-3, -1, -2/7, 0
Find f such that -7/2*f - f**2 + 1/2*f**3 - 2 = 0.
-1, 4
Factor 7*n + 11*n - 48*n + 3*n**2 + 63.
3*(n - 7)*(n - 3)
Let c be 480/(-60) - (-70)/8. Let i(a) be the first derivative of -6 - a - c*a**2 - 1/6*a**3. Factor i(l).
-(l + 1)*(l + 2)/2
Let f = -333938/7 + 47706. Factor -f*r + 2/7*r**2 + 0.
2*r*(r - 2)/7
Factor 13 + 18*g**2 + 10*g**3 + 5259*g - 40 - 7*g**4 - 5286*g + g**5.
(g - 3)**3*(g + 1)**2
Solve 2*s**2 - s**2 + 656 - 657 = 0.
-1, 1
Let q(u) be the first derivative of -u**6/480 + u**5/40 - 3*u**4/32 + 2*u**3/3 + 9. Let t(v) be the third derivative of q(v). Factor t(k).
-3*(k - 3)*(k - 1)/4
Let f(w) = -92*w**4 - 558*w**3 - 1134*w**2 - 962*w - 290. Let j(t) = -3*t**4 - t**3 - t**2 + t + 1. Let g(d) = f(d) + 2*j(d). Factor g(o).
-2*(o + 2)**2*(7*o + 6)**2
Suppose -11*i = -2*i - 126. Find t such that -7*t**3 - 39*t + 32*t**2 + 7 - 77*t**2 - 19 - 3*t**4 - i*t**3 = 0.
-4, -1
Let d = 687 - 2057/3. Suppose -2/3*z**2 + 4/3*z**4 - 1/3*z**5 + 5/3*z - 2/3 - d*z**3 = 0. What is z?
-1, 1, 2
Let u(z) = 5*z**3 - 5*z**2 - 36*z - 12. Let l(w) = -55*w**3 + 55*w**2 + 395*w + 130. Let p(a) = -6*l(a) - 65*u(a). Determine y, given that p(y) = 0.
-2, 0, 3
Let n(c) be the second derivative of 2/3*c**4 + 0*c**3 + 1/5*c**5 + 3*c + 0*c**2 + 0 - 2/15*c**6. Let n(v) = 0. Calculate v.
-1, 0, 2
Let j(c) be the second derivative of 34*c + 655/3*c**4 + 405*c**2 + 0 - 5/14*c**7 - 885/2*c**3 - 53/2*c**5 - 23/3*c**6. Suppose j(a) = 0. Calculate a.
-9, 2/3, 1
Let n(u) be the first derivative of -u**5/10 + u**4/2 - 4*u**2 - 3*u + 11. Let s(m) be the first derivative of n(m). Factor s(d).
-2*(d - 2)**2*(d + 1)
Let w(g) be the third derivative of 0 - 1/66*g**4 + 0*g**3 + 37*g**2 + 1/660*g**6 + 1/330*g**5 + 0*g. Factor w(q).
2*q*(q - 1)*(q + 2)/11
Let j(c) be the first derivative of 4/3*c**3 - 4/5*c**5 + 3*c**4 + 3 - 2/3*c**6 - 4*c**2 + 0*c. Let j(a) = 0. Calculate a.
-2, -1, 0, 1
Suppose -2*f = 2*c - 10, 0*c - 14 = -4*c + 2*f. Determine z, given that -6*z + 4 + 38*z**2 - c - 40*z**2 = 0.
-3, 0
Let h = -559/4 - -140. Solve 0 + h*o - o**4 + 3/2*o**3 + 1/4*o**5 - o**2 = 0 for o.
0, 1
Let i(s) be the first derivative of s**8/336 - s**6/30 - s**5/30 + s**4/8 + s**3/3 - 3*s**2/2 + 3. Let x(t) be the second derivative of i(t). Factor x(q).
(q - 2)*(q - 1)*(q + 1)**3
Suppose f - 3*x = 27 - 12, 5*f - 20 = 4*x. Let a(q) be the second derivative of 0 + f*q**3 + q - 1/12*q**4 + 0*q**5 + 0*q**2 + 1/30*q**6. Factor a(u).
u**2*(u - 1)*(u + 1)
Suppose 9 = -4*l - 3*g + 29, 3*l - 15 = 3*g. Let -5*y + 0*y**3 + 15*y**3 - 30 - l*y**4 - 10*y**3 + 35*y**2 = 0. What is y?
-2, -1, 1, 3
Let z be (-1 - (1 + -2)) + 2. Let t be 1/2 + (2904/16)/11. What is f in 21 - 6 + t + 2*f**4 - 16*f**3 + 48*f**z - 64*f = 0?
2
Suppose -2*i + 8 = 26. Let l be 6/i - 17*3/(-9). Factor 2/3*c**2 - 2/3*c**4 + 0 + 1/3*c**l + 0*c**3 - 1/3*c.
c*(c - 1)**3*(c + 1)/3
Let x(f) = -2*f**2 + 1. Let m(r) = -13*r**2 - 7*r + 14. Let k(t) = -5*m(t) + 30*x(t). Determine o so that k(o) = 0.
-8, 1
Suppose 12 = -0*t - 4*t, 5*t = -2*n + 5. Let s be (-1*8/n)/(14/(-28)). Factor 0*g + s - 2/5*g**2.
-2*(g - 2)*(g + 2)/5
Let g(q) be the third derivative of q**6/360 + q**5/12 - 11*q**4/24 + 17*q**3/18 - 236*q**2. Determine a, given that g(a) = 0.
-17, 1
Let h(k) be the second derivative of k**7/273 + 2*k**6/195 - 7*k**5/65 + 4*k**4/39 + k**3/3 - 10*k**2/13 + 270*k. Let h(o) = 0. Calculate o.
-5, -1, 1, 2
Let a be (-3)/(-6)*(9 + -3). Let g(n) be the first derivative of 1/18*n**4 + 0*n + 0*n**2 - 2/27*n**a + 6. Suppose g(o) = 0. Calculate o.
0, 1
Let w = -2970 + 2972. Solve -3/4*o**3 + 0 - 1/4*o**4 + 0*o**w + o = 0 for o.
-2, 0, 1
Let m(r) be the first derivative of r**7/6300 - r**6/2700 - r**5/900 + r**4/180 + 7*r**3/3 - 12. Let l(t) be the third derivative of m(t). Factor l(u).
2*(u - 1)**2*(u + 1)/15
Let h(g) be the first derivative of -g**7/210 + g**6/30 - g**5/10 + g**4/6 - g**3/6 - 5*g**2 + 7. Let b(y) be the second derivative of h(y). Factor b(r).
-(r - 1)**4
Let n(k) be the first derivative of -k**5/25 + k**4/5 - 2*k**3/5 + 2*k**2/5 + 7*k + 13. Let a(r) be the first derivative of n(r). Factor a(y).
-4*(y - 1)**3/5
Let y = -8/587 + 1793/2348. Determine s, given that -y*s + 0 - 3/4*s**2 = 0.
-1, 0
Let f(m) be the first derivative of -2*m**3/39 + 42*m**2/13 - 882*m/13 - 34. Factor f(n).
-2*(n - 21)**2/13
Let q = 3222/11 + -3220/11. Suppose 4/11*j + q*j**4 + 0*j**3 - 6/11*j**2 + 0 = 0. What is j?
-2, 0, 1
Let r(q) = 4*q**4 - 2*q**3 - 4*q**2 - 4*q + 6. Let n(g) = -g**4 + g**2 + g - 1. Let y(w) = -6*n(w) - r(w). Determine i so that y(i) = 0.
-1, 0, 1
Let u(k) be the second derivative of 1/27*k**4 + 0*k**3 + 0 + 0*k**2 - 1/27*k**6 + 7*k - 1/30*k**5. Factor u(x).
-2*x**2*(x + 1)*(5*x - 2)/9
Suppose 4/3 - 84*p**4 - 386/3*p**3 - 4*p**2 + 42*p = 0. Calculate p.
-1, -2/63, 1/2
Solve -2 - 8*w**3 + 7/3*w**5 - 16/3*w**4 + 17/3*w + 22/3*w**2 = 0 for w.
-1, 2/7, 1, 3
Let w(u) be the second derivative of u**7/600 - u**6/60 + 29*u**5/600 - u**4/20 - 5*u**3 - 23*u. Let f(o) be the second derivative of w(o). Factor f(z).
(z - 3)*(z - 1)*(7*z - 2)/5
Let c(y) = -y**3 + 9*y**2 - 9*y + 14. Let n be c(8). Solve 20*u**4 - 23*u**3 + 13*u**3 - 8*u - 20*u**2 + 12*u**5 + n*u**3 = 0 for u.
-1, -2/3, 0, 1
Suppose 55*p - 28*p - 81 = 0. Let u(b) be the first derivative of 3/5*b**4 - 6 + 0*b**2 + 0*b - 3/25*b**5 - 4/5*b**p. Suppose u(w) = 0. What is w?
0, 2
Let c(f) be the third derivative of f**6/720 + f**5/120 - f**4/36 - 2*f**2 + 158*f. Determine b, given that c(b) = 0.
-4, 0, 1
Let u = -1574 - -11019/7. Let l(q) be the second derivative of 2/7*q**2 + u*q**3 - 2*q + 0 + 1/42*q**4. Factor l(t).
2*(t + 1)*(t + 2)/7
Let p = -838/5 + 168. Let g(d) be the first derivative of p*d**5 - 2/3*d**3 + 4 - 1/2*d**4 + 0*d + 1/3*d**6 + 0*d**2. Solve g(z) = 0.
-1, 0, 1
Let c(p) be the first derivative of 0*p + 0*p**5 + 4/15*p**3 + 0*p**2 + 1/15*p**6 - 3/10*p**4 + 7. Factor c(j).
2*j**2*(j - 1)**2*(j + 2)/5
Factor 1/3*n**4 - 4/3*n**3 - 37/3*n**2 - 12 - 68/3*n.
(n - 9)*(n + 1)*(n + 2)**2/3
Let m(o) be the third derivative of -7*o**6/6 - 37*o**5/3 - 1075*o**4/24 - 125*o**3/3 - o**2 - 4*o. Factor m(a).
-5*(2*a + 5)**2*(7*a + 2)
Let s(p) be the second derivative of -p**7/350 - 3*p**6/200 - p**5/50 + 3*p**2 + 8*p. Let l(m) be the first derivative of s(m). Find q such that l(q) = 0.
-2, -1, 0
Suppose -65 = -0*u + 5*u. Let y = -11 - u. Suppose -3*d**2 - 7*d**2 + y*d + 11*d**2 = 0. Calculate d.
-2, 0
Let h(f) = -3*f**5 - 20*f**4 - 8*f**3 + 5*f. Let j(i) = -3*i**5 - 22*i**4 - 9*i**3 + 6*i. Let k(y) = 6*h(y) - 5*j(y). Factor k(o).
-o**3*(o + 3)*(3*o + 1)
Let p = -8795 + 8795. Let 1/4*a**4 + p - 5/4*a**3 + 2*a**2 - a = 0. Calculate a.
0, 1, 2
Let h(b) be the third derivative of b**5/120 - 19*b**4/24 + 361*b**3/12 + 19*b**2 - 2. Let h(u) = 0. Calculate u.
19
Let c(a) be the second derivative of 1/70*a**6 + 1/7*a**3 - 3/70*a**5 + 0 - 1/28*a**4 + 0*a**2 - 40*a. Factor c(y).
3*y*(y - 2)*(y - 1)*(y + 1)/7
Let v(i) = i**2 + 2*i + 2. Let j be v(-2). Let u be 8/j*(49/14)/7. Suppose -2/5*g**u - 8/5*g - 6/5 = 0. What is g?
-3, -1
Suppose 0 = -3*i - 4*y + 22 - 14, 2*i + 2*y = 6. Let x(g) be the first derivative of 3 + 0*g + 0*g**5 - 3/8*g**2 - 1/8*g**6 + 3/8*g**i + 0*g**3. Factor x(n).
-3*n*(n - 1)**2*(n + 1)**2/4
Let l(n) be the first derivative of n**3/3 + 2*n**2 - 3*n - 7. Let u be l(-5). Factor u*t**2 + 3*t + t - 4*t**3 + 1 + 2*t**2 - 5.
-4*(t - 1)**2*(t + 1)
Let o(d) be the second derivative of 23/4*d**4 + 30*d + 7/2*d**3 + 3/4*d**5 - 15/2*d**2 - 3/5*d**6 + 0. Solve o(v) = 0.
-1, 1/3, 5/2
Suppose 3*i + i = 4*o - 28, -2*i + 4 = 4*o. Let h(n) be the first derivative of 10