= -d**2 + 9*d + 12. Let y be o(10). Suppose 0 = 3*s - 20 + y. Suppose -f**2 + s*f**2 - 6*f**2 + 2*f**2 = 0. What is f?
0
Let z(x) = 6*x + 2. Let h be z(2). Let u = 17 - h. Factor 32 - 30*v**u + 48*v**2 + 0*v + 49*v + 12*v**3 + 39*v.
-2*(v - 4)*(3*v + 2)**2
Find a such that a**5 + 957 + 4*a**2 - 4*a**3 - 957 - a**4 = 0.
-2, 0, 1, 2
Factor -442 + 11*x**3 + 3*x**3 + 286 - 394*x + 536*x**2.
2*(x - 1)*(x + 39)*(7*x + 2)
Let j = -75 - -80. Let b(k) be the third derivative of 0*k**j + 0*k**3 + 0*k**4 - 5*k**2 - 1/175*k**7 - 1/300*k**6 + 0 + 0*k. Factor b(w).
-2*w**3*(3*w + 1)/5
Factor 10/7*k**3 + 0 + 24*k - 286/7*k**2.
2*k*(k - 28)*(5*k - 3)/7
Let f = 27230/5571 - -2/1857. Let v = -167/36 + f. Find x such that -v*x**2 - 1/4*x + 0 = 0.
-1, 0
Let y be 2/(-12) + (-157)/(-942). Let x(u) be the third derivative of -1/44*u**4 + 0*u - 1/660*u**6 + 1/110*u**5 + 5*u**2 + y + 1/33*u**3. Factor x(l).
-2*(l - 1)**3/11
Let y(f) = -11*f - 657. Let o be y(-60). Factor 1/5*j**2 + 1/5*j**o - 1/5*j**4 - 1/5*j + 0.
-j*(j - 1)**2*(j + 1)/5
What is f in -878*f + 1 + 0*f**2 + 880*f + f**4 - 3*f**3 - f**2 + f**5 - 1 = 0?
-2, -1, 0, 1
Let z be (4*19/(-95))/((-2)/5). Factor 0 + 8/3*u**3 + 2/3*u**4 - 8/3*u - 2/3*u**z.
2*u*(u - 1)*(u + 1)*(u + 4)/3
Let y = 588/5 - 117. Let i(x) = -x**2 + 8*x - 15. Let w be i(5). Solve -9/5*c**2 + 0 - 6/5*c + w*c**3 + y*c**4 = 0 for c.
-1, 0, 2
Solve -32*z**3 + 20*z**4 - 8*z**4 - 16*z + 756*z**2 - 816*z**2 = 0.
-1, -1/3, 0, 4
Let k(r) = r**2 - 2*r - 2. Let n be k(4). Let m be (-14)/(-7)*n/4. Solve 2*s**m + 6 - 2*s**3 - 3*s**3 + 9*s = 0.
-1, 2
Let c(p) be the second derivative of -p**6/720 + p**5/80 - p**4/24 - 3*p**3/2 + 3*p. Let z(y) be the second derivative of c(y). Factor z(k).
-(k - 2)*(k - 1)/2
Let r = 34 + -42. Let i be 1/(2 + (-3 - 20/r)). Factor -2/3*h - i*h**2 + 0.
-2*h*(h + 1)/3
Let w = 103 - 64. Factor 76*i + 27*i**2 - 56*i**2 - 8 - w*i**2.
-4*(i - 1)*(17*i - 2)
Suppose 0 = 4*y + 10*y - 28. Let -6*n**3 - 18 + 0 - 31*n + 687*n**y - 26*n - 732*n**2 = 0. Calculate n.
-6, -1, -1/2
Let n(t) be the second derivative of -t**4/18 + t**3/3 - 2*t**2/3 + 8*t + 1. Factor n(u).
-2*(u - 2)*(u - 1)/3
Determine v, given that -25*v**3 - 453*v + 473*v - 2*v**5 + 7*v**5 = 0.
-2, -1, 0, 1, 2
Let f = 5 - 3. Let q = -103 + 105. Suppose -15*y**3 + 9*y**4 + 12*y**2 - 4*y**q - 2*y**f = 0. Calculate y.
0, 2/3, 1
Let a(j) be the first derivative of -2/7*j - 2/21*j**3 + 8 + 2/7*j**2. Suppose a(s) = 0. What is s?
1
Let y(t) = -3*t**3 + t**2 + t. Let z be (45/(-35))/1 + (-4)/(-14). Let n be y(z). Determine x so that -2/3 - x + 0*x**2 + 1/3*x**n = 0.
-1, 2
Suppose -n = -5*n - 4. Let m be n*(0 + -1) - 0. Let b(d) = -d - 1. Let k(o) = 2*o**3 + 2*o**2 + 3*o + 3. Let v(s) = m*k(s) + 3*b(s). Factor v(f).
2*f**2*(f + 1)
Let g = -374 + 378. Let b(y) be the second derivative of -y + 0*y**2 + 0 - 4/9*y**3 - 1/3*y**g - 1/15*y**5. Factor b(p).
-4*p*(p + 1)*(p + 2)/3
Let y(a) be the first derivative of -a**6/24 + a**5/6 + 5*a**4/6 + 38*a**3/3 + 45. Let c(r) be the third derivative of y(r). Let c(z) = 0. What is z?
-2/3, 2
Let h = -1 + 1. Let x be h + 3/6*10. Determine w so that 37*w**2 - 37*w**2 - 5*w**5 + 11*w**4 + 3*w**3 + w**x = 0.
-1/4, 0, 3
Suppose -4*x + 24 = -32. Suppose -7*t - 14*t - 48 - x*t**3 - 3*t + 11*t**3 + 21*t**2 = 0. Calculate t.
-1, 4
Let j = 56 + -47. Solve -j + 108*g**3 + 30*g + 33*g**2 + 12 - 132*g**2 - 6 = 0.
1/4, 1/3
Let o(w) be the third derivative of 0*w - 5/42*w**7 - 1/6*w**6 - w**2 + 0 - 1/15*w**5 + 0*w**3 + 0*w**4. Factor o(p).
-p**2*(5*p + 2)**2
Let k(o) be the second derivative of 1/3*o**3 + o**2 - 1/6*o**4 - 1/10*o**5 + 0 - 8*o. Find c such that k(c) = 0.
-1, 1
Suppose 21*j - 1194 = 66. Suppose 22*x - j = 10*x. Solve 21/4*s + 3/2*s**3 + 21/2*s**2 - 27/4*s**x - 45/4*s**4 + 3/4 = 0.
-1, -1/3, 1
Let c be (-6)/(-8) - ((-67)/16 - -4)*-4. Suppose -2/7*h**2 + 4/7*h + c - 2/7*h**3 = 0. What is h?
-2, 0, 1
Let h be 2 + 24/(-10) - 1397/(-55). Solve 17*y + 5*y**4 - 18*y - 11*y**3 - 9*y**3 + h*y**2 - 9*y = 0.
0, 1, 2
Let r = 70754/41265 - 2/5895. Factor -6/7*i**3 + 0 + 18/7*i**2 - r*i.
-6*i*(i - 2)*(i - 1)/7
Let h be 10/((-90)/9)*(-6 + 3 + 3). Let -6/19*l**2 + 2/19*l**3 + h + 4/19*l = 0. What is l?
0, 1, 2
Let -4*f**5 + 1386*f**2 - 14 - 1258*f**2 + 140*f - 16*f**4 + 9 + 24*f**3 + 53 = 0. What is f?
-4, -1, 3
Suppose -2*a + 0*j - 25 = 5*j, -j - 5 = a. Let -10*x**3 - 6*x + 14*x**2 + a*x + 0*x + 10*x**4 - 8*x**4 = 0. What is x?
0, 1, 3
Factor -13*g + 2*g**2 - 4*g + 6*g + 18 - g**2.
(g - 9)*(g - 2)
Let 82/17*h - 12/17*h**2 + 14/17 = 0. What is h?
-1/6, 7
Let m be (-6)/40*-1 - 2/(-8). Let d(x) be the first derivative of 4/5*x**3 - 4/5*x**2 + 3 + 2/5*x + 2/25*x**5 - m*x**4. Solve d(j) = 0 for j.
1
What is h in 0 + 4/7*h**3 - 16/7*h**2 + 2/7*h**4 + 0*h = 0?
-4, 0, 2
Let v(g) be the third derivative of 0*g - 1/15*g**5 + 1/168*g**8 + 1/36*g**4 + 0 + 0*g**3 + 1/15*g**6 - 8*g**2 - 2/63*g**7. Factor v(k).
2*k*(k - 1)**3*(3*k - 1)/3
Let n(l) be the third derivative of -l**8/560 + l**7/35 - 3*l**6/20 + 27*l**4/8 + 3*l**3/2 + 20*l**2. Let p(s) be the first derivative of n(s). Factor p(o).
-3*(o - 3)**3*(o + 1)
Suppose -5 = y, -3*w - 2*y + 10 = -y. Suppose -4*x + 35 = 5*j, -2*j - 3*j + 2*x + w = 0. Solve 11*r**3 + 12*r - 4*r**j - 10*r**3 = 0 for r.
-2, 0, 2
Let s(u) be the first derivative of -2/3*u**3 + 4 + 4*u + u**2. Suppose s(g) = 0. What is g?
-1, 2
Let r be (-14)/(-56) - (-12854)/40. Let d = 322 - r. Find i such that 4/5*i - 2/5 - d*i**2 = 0.
1
Let d(f) = f**2 + f + 1. Let u(n) = 6*n - 12. Let o be u(3). Let z(t) = -6*t**3 - 3*t**2 - 3*t - 6. Let b(j) = o*d(j) + z(j). Factor b(c).
-3*c*(c - 1)*(2*c + 1)
Suppose -f**2 + 8/5 - 1/5*f**3 - 2/5*f = 0. Calculate f.
-4, -2, 1
Let m(y) = y**3 - 3*y**2 - 9*y. Let n be m(5). Factor 5*f**3 - 5*f + 24*f**4 - n*f**2 - 9*f**4 - 10*f**4.
5*f*(f - 1)*(f + 1)**2
Let d be (10/30)/((-1)/3). Let t be (-13 - -39)/(3 + d). Factor 3*v**3 + t*v + 3*v**4 - 9*v**2 - 25*v - 3*v**2.
3*v*(v - 2)*(v + 1)*(v + 2)
Let y be 6/(-15) + (-112)/(-5). Suppose -c + 25 - y = 0. Determine u, given that 2/3*u**c + 0*u**2 + 0 - 2/3*u**5 + 0*u**4 + 0*u = 0.
-1, 0, 1
Let m(c) be the third derivative of 1/2*c**4 + 0 - 1/30*c**5 - 6*c**2 + 0*c - 3*c**3. Factor m(w).
-2*(w - 3)**2
Suppose 0 = -73*d + 16*d. Factor -2/3*t**4 + d*t**2 + 4/3*t**3 + 0*t + 0.
-2*t**3*(t - 2)/3
Let x(y) be the second derivative of -y**2/2 + 55*y. Let z(n) = 3*n**2 + 1 + 2*n + 0 + 4*n. Let i(a) = 2*x(a) - z(a). Factor i(d).
-3*(d + 1)**2
Solve -160/3*l + 0 + 4/3*l**2 = 0.
0, 40
Let q(t) be the first derivative of -t**5/60 - t**4/4 - 3*t**3/2 - 17*t**2/2 - 2*t - 40. Let m(a) be the second derivative of q(a). Factor m(k).
-(k + 3)**2
Solve -125*a**2 + 122*a**2 + 78*a + 66*a - 1728 = 0.
24
Suppose 18 = -a + 5*a + 2*x, 0 = -a + 5*x - 23. Let l be 288/28 + (-4)/14. Factor l + 2*k - 10 - 2*k**a.
-2*k*(k - 1)
Let p(n) be the first derivative of n**3/6 + 135*n**2/2 + 18225*n/2 - 443. Factor p(i).
(i + 135)**2/2
Let m(v) = -v**2 - 2*v. Let o(b) = 9*b**2 - 32*b + 12. Let k(j) = -2*m(j) + o(j). Find x, given that k(x) = 0.
6/11, 2
Let u = 72 + -67. Suppose -3*w = 2*i - 12, -u*w + 4 = -i - 3. Factor 1/5*c**w + 3/5*c + 0.
c*(c + 3)/5
Factor -2*h**2 + 32*h - h**3 + 31*h - 5*h**2 + 30*h - 99*h.
-h*(h + 1)*(h + 6)
Let i(d) be the first derivative of d**6/10 + 5*d**5/3 + 28*d**4/3 + 32*d**3/3 - 2*d**2 - 13. Let w(r) be the second derivative of i(r). Factor w(x).
4*(x + 4)**2*(3*x + 1)
Let l(g) = -g + 12. Let r be l(15). Let p = 7 + r. Factor 16*a**p - 5*a**2 + 2 - 12*a**4 + 3*a**3 - 1 - 3*a.
(a - 1)*(a + 1)**2*(4*a - 1)
Let l(o) be the third derivative of 0*o + 1/672*o**8 + 0*o**6 + 0*o**4 + 1/420*o**7 + 0 - 11*o**2 + 0*o**3 + 0*o**5. Determine j so that l(j) = 0.
-1, 0
Let w be (-23)/(-4) - 1/(-4). Suppose -2*g - 5*h = -8*h + 11, -3*g = -4*h + 14. Factor 3*y**g - y**4 + w*y**3 - 6*y + 0*y**4 - 2*y**4.
-3*y*(y - 2)*(y - 1)*(y + 1)
Let y be (1 + -6)*44/(-110). Factor -2/11*z**y - 2/11*z + 2/11*z**4 + 2/11*z**3 + 0.
2*z*(z - 1)*(z + 1)**2/11
Let d be (25/(-300))/((-12)/192). Suppose d*c - 49/3*c**2 - 49/3*c**3 + 4/3 = 0. What is c?
-1, -2/7, 2/7
Let g(x) = 23*x - 72. Let u be g(7). Let t = 268/3 - u. Let -f**2 + 1/3*f**4 + 5/3*f - t*f**3 - 2/3 = 0. Calculate f.
-2, 1
Let o be (-12)/(-2 - 0) - 4. Suppos