 f*x + 2/7*x**3 + 0 - 2/7*x**5.
-2*x**3*(x - 1)*(x + 1)/7
Let g = -208 - -205. Let s(p) = 5*p**2 - 2*p - 18. Let d be s(g). Find a such that -44*a**3 + 97/2*a**2 + 8*a**4 + d*a + 9/2 = 0.
-1/4, 3
Suppose -5*c = 1 + 19. Let f be (-4)/8 - 14/c. Factor -157*n**3 - 327*n**f - 176*n**2 - 25*n + 9*n.
-4*n*(11*n + 2)**2
Factor -3/2*m**2 + 86*m - 57/2.
-(m - 57)*(3*m - 1)/2
Let f(q) be the second derivative of 7*q**4/48 + 2*q**3/3 + q**2/2 + 76*q. Factor f(n).
(n + 2)*(7*n + 2)/4
Factor 0 - 2/25*k**2 + 6/25*k**3 - 6/25*k + 2/25*k**4.
2*k*(k - 1)*(k + 1)*(k + 3)/25
Let d(i) = -i + 2. Let g be d(-1). Factor g*s**2 - 2*s**4 + 6*s**3 - 6*s - 3*s**4 + 2*s**4.
-3*s*(s - 2)*(s - 1)*(s + 1)
Suppose 47*s - 54 = 20*s. Let 1/3*c**3 + 0*c + 4/3 - c**s = 0. Calculate c.
-1, 2
Let h(m) be the second derivative of -m**7/70 + 9*m**5/25 - m**4/10 - 27*m**3/10 + 27*m**2/5 - 295*m. Determine u so that h(u) = 0.
-3, -2, 1, 3
Suppose 14 = 4*s - 46. Suppose -m + s = 4*m. Factor 2*n - n**m + 0*n**3 - n**3.
-2*n*(n - 1)*(n + 1)
Let h be 8*1*(-5)/(-10) - 4. Let m(f) be the third derivative of 9/20*f**5 + 1/10*f**6 + 0*f + 3/4*f**4 + h + 1/2*f**3 + 9*f**2. Factor m(p).
3*(p + 1)**2*(4*p + 1)
Let m(r) be the second derivative of r**9/13608 + r**8/3780 + r**7/3780 - 5*r**3/2 - 15*r. Let u(z) be the second derivative of m(z). Factor u(c).
2*c**3*(c + 1)**2/9
Factor -598*j + 598*j - 26*j**3 - 2*j**4.
-2*j**3*(j + 13)
Let u be 0 + 1 - (-9)/9. Solve -41*t**2 - 5*t**3 - 44*t**u - 20*t + 60*t**2 = 0 for t.
-4, -1, 0
Suppose -v + 3*a + 12 = 3*v, 15 = 5*v - 3*a. Let y(t) be the second derivative of -3/2*t**v - t**2 - 7/12*t**4 + 0 + 2*t. Suppose y(b) = 0. Calculate b.
-1, -2/7
Let u(y) = -y**3 + 4*y + 15. Let p be u(3). Let x(c) be the third derivative of -1/60*c**6 + 0 + 0*c + p*c**3 - 1/20*c**5 - 7*c**2 - 1/24*c**4. Factor x(q).
-q*(q + 1)*(2*q + 1)
Suppose -32*t - 206*t + 942 = 76*t. Solve 22/5 + 26/5*k**2 - 46/5*k - 2/5*k**t = 0 for k.
1, 11
Suppose -2*g = g - 6. Factor -7*y**3 + 4*y + 5*y - 7*y - 2*y**2 - 3*y**g.
-y*(y + 1)*(7*y - 2)
Suppose 35*f = 33*f + 164. Factor 41 + 41 - 4*p**2 - f + 16*p.
-4*p*(p - 4)
Let x(n) = -n**2 - n + 1. Let m(g) = g**2 + 4*g - 2. Let c(t) = m(t) + 2*x(t). Let c(o) = 0. What is o?
0, 2
Let k(f) be the second derivative of 128*f**7/21 + 8224*f**6/5 + 599052*f**5/5 + 444673*f**4/3 + 73856*f**3 + 18432*f**2 + 421*f. Factor k(g).
4*(g + 96)**2*(4*g + 1)**3
Let o be (140/(-15) - 5)*5. Let q = 73 + o. Factor 1/3*u**2 + 4/3 - q*u.
(u - 2)**2/3
Let x(s) = -25*s**2 + 12*s + 34. Let i(m) = 25*m**2 - 9*m - 33. Let d(w) = -6*i(w) - 7*x(w). Find n, given that d(n) = 0.
-4/5, 2
Suppose -2*v + 6*v = 5*g - 35, 5*v = -5*g + 35. Let h be (4/(-8))/((-2)/24). Factor 3 - h*o + g*o + 9*o**2 + 3*o**3 + 8*o.
3*(o + 1)**3
Suppose -12*y**3 - 4*y**3 + 3*y**2 + y**3 - 36*y + 17*y**3 + y**3 = 0. What is y?
-4, 0, 3
Suppose -4*g + 0*n - 4*n - 48 = 0, 0 = -3*n - 6. Let j be 2/g + 1 + (-16)/(-5). Factor 0*f**2 + 2/9*f**5 + 0*f**j - 2/9*f**3 + 0 + 0*f.
2*f**3*(f - 1)*(f + 1)/9
Let g(v) = 2*v + 19. Let f be g(-5). Factor -33*n**3 + 5*n - 45*n + f*n**3 + 4*n**4 + 12 + 40*n**2 + 8*n**2.
4*(n - 3)*(n - 1)**3
Let a be (-1)/(-2) + 250/20. Let h(t) = t - 9. Let q be h(a). Solve 0*m**q + 4*m**4 + 4*m - 6*m**3 + 9*m**2 + 18*m**3 + 3*m**2 = 0.
-1, 0
Let f(m) be the third derivative of m**5/100 - 5*m**4/24 + 4*m**3/15 - 62*m**2. Factor f(o).
(o - 8)*(3*o - 1)/5
Let i(a) be the first derivative of 9/7*a**2 - 19 + 2/7*a**3 + 12/7*a. Factor i(x).
6*(x + 1)*(x + 2)/7
Suppose 19*x = 84 - 27. Let s**2 - 1/2*s**4 + 0*s + 0*s**x - 1/2 = 0. What is s?
-1, 1
Let k(a) be the first derivative of 0*a + 2/9*a**4 + 12 + 0*a**2 - 4/27*a**3 - 4/45*a**5. What is x in k(x) = 0?
0, 1
Let r(f) be the third derivative of f**7/385 + 4*f**6/55 + 14*f**5/55 + 2*f**2 + 18*f. Determine p, given that r(p) = 0.
-14, -2, 0
Let v(z) = 9*z - 49. Let a be v(5). Let u be 4/14 - 8/a. Solve 4/7*i**2 + 20/7*i + u = 0.
-4, -1
Let l be 11 + -14 + -2*52/(-24). Factor l*p + 2/3*p**2 + 0.
2*p*(p + 2)/3
Suppose 5*f + 23 = 5*t - 7, 2*t + 5*f + 9 = 0. Determine r so that -2*r**5 + 0*r**5 + 5*r**4 + 5*r**t - 3*r**5 - r**2 - 4*r**2 = 0.
-1, 0, 1
Let t(d) = -d**3 + 6*d**2 - 6. Let u be t(5). Solve 2*o**3 - 2*o**2 - 2*o - 9 - u + 30 = 0 for o.
-1, 1
Suppose 9*b = 14*b + p - 4, 16 = 2*b + 4*p. Let k(g) be the third derivative of b*g**3 + 4*g**2 + 0*g - 1/216*g**4 + 0 - 1/1080*g**6 + 1/270*g**5. Factor k(l).
-l*(l - 1)**2/9
Suppose 7*h - 4*h + 16 = 4*c, -3*c - h = -25. Let z be c/2 - (-9)/(-6). Factor -4/3*x - 2/3*x**z - 2/3.
-2*(x + 1)**2/3
Let t be -8 - (416/6)/(-8). Let 1/6*q**3 - t*q - 1/2*q**2 + 0 = 0. Calculate q.
-1, 0, 4
Let t(a) be the third derivative of -a**5/330 + 7*a**4/6 - 539*a**3/3 + 44*a**2. Factor t(p).
-2*(p - 77)**2/11
Let p be ((-5)/(-40))/((-8)/(-48)). Let s(x) be the first derivative of -3/20*x**5 - p*x + 1/2*x**3 + 0*x**2 + 0*x**4 - 2. What is o in s(o) = 0?
-1, 1
Let f = 44 - 42. Factor -18*v + 57*v**2 - 37*v**f - 2*v - 5*v**3 + 0*v**3.
-5*v*(v - 2)**2
Let m(g) = g**2 + 8*g - 4. Let n be m(-9). Factor -n*y + 4*y**3 + 351 - 12*y**2 - 351 + 13*y.
4*y*(y - 2)*(y - 1)
Let n = -34 + 68. Find g, given that 3*g**2 - 18*g**2 + 14*g**3 + 21*g**4 - 36*g**2 - 18*g + n*g**3 = 0.
-3, -2/7, 0, 1
Suppose -4*u + 0 = -20. Factor 4*c**4 + 26 - 15 + 4*c**u - 7 - 8*c**3 + 4*c - 8*c**2.
4*(c - 1)**2*(c + 1)**3
Let l(k) be the first derivative of 2*k**5/65 + 4*k**4/13 - 8*k**3/39 - 32*k**2/13 - 128. Factor l(i).
2*i*(i - 2)*(i + 2)*(i + 8)/13
Let v be (8/10)/(-5*4/(-250)). Let b be 8/60*v*3. Factor 0*r**2 + 1/4*r**5 + 0*r**3 - 1/2*r**b + 0*r + 0.
r**4*(r - 2)/4
Suppose 0*o - 66 = -6*o. Let m = 25/2 - o. Factor m*c + 0 + 3/4*c**2.
3*c*(c + 2)/4
Let j = -12 + 10. Let t(h) = -h**2 - 5*h - 4. Let v be t(j). Factor 2*p**4 + 0*p**2 + 3 - 14*p - 10*p**3 + 1 + 18*p**v.
2*(p - 2)*(p - 1)**3
Let r(x) = 2*x**3 - 5*x - 1. Let l be r(2). Let d(p) be the first derivative of 0*p**3 + 3/5*p**l - 3/4*p**4 + 0*p + 5 + 0*p**2. Solve d(c) = 0.
0, 1
Let u(r) be the third derivative of -r**8/11200 - r**7/2100 - r**4/8 + 4*r**3/3 - 37*r**2. Let s(i) be the second derivative of u(i). Solve s(w) = 0.
-2, 0
Let a(t) = -t**3 - t - 1. Let g(n) = -3*n**4 - 26*n**3 - 18*n**2 + 118*n - 77. Let z(c) = 2*a(c) - g(c). Let z(p) = 0. Calculate p.
-5, 1
Let w = -170 + 29. Let q = w - -1271/9. What is u in 0 + 2/9*u**4 - 2/9*u**2 - 2/9*u**3 + q*u = 0?
-1, 0, 1
Let p(s) be the first derivative of -3/2*s + 9/8*s**2 + 2*s**3 + 39 + 9/16*s**4. Solve p(l) = 0 for l.
-2, -1, 1/3
Let n(s) be the second derivative of -1/50*s**5 - 20*s + 1/75*s**6 + 0*s**2 + 0 - 1/15*s**4 + 0*s**3. Solve n(m) = 0 for m.
-1, 0, 2
Let w be (8/9 - 1)/(29 + (-2360)/80). Determine h, given that -w*h**3 - 32/9*h + 0 + 16/9*h**2 = 0.
0, 4
Let x be 8 + (35/14)/(9/(-27)). Factor 0 + x*w**2 - w + 1/2*w**3.
w*(w - 1)*(w + 2)/2
Let u(s) = 4*s**5 - 10*s**4 + 2*s**3 + 4*s - 5. Let n(k) = -3*k**5 + 9*k**4 - k**3 - k**2 - 4*k + 4. Let w(d) = 5*n(d) + 4*u(d). Factor w(y).
y*(y - 1)*(y + 1)**2*(y + 4)
Let z(i) = 8*i**4 + 2*i**3 + 14*i**2 - 6*i + 6. Let s(f) = -23*f**4 - 4*f**3 - 41*f**2 + 17*f - 17. Let b(d) = 6*s(d) + 17*z(d). Suppose b(x) = 0. What is x?
0, 1, 4
Let z(p) = -p**2 - 2*p + 8. Let q be z(0). Let c = q + -6. Suppose 9*g - 27/2 - 3/2*g**c = 0. What is g?
3
Let b(u) = u**3 + u + 1. Let r(i) = -3*i**4 + 27*i**3 + 25*i**2 - 63*i + 20. Let n(j) = 6*b(j) - 3*r(j). Find l such that n(l) = 0.
-2, 1/3, 1, 9
Let y = -35 - -39. Determine t so that -y + 7*t + 5*t - 4 - 2*t**2 - 4*t = 0.
2
Factor 0*s - 2/5 + 4/5*s**2 - 2/5*s**4 + 0*s**3.
-2*(s - 1)**2*(s + 1)**2/5
Let r(b) be the first derivative of -2*b**5/35 + 2*b**4/7 + 8*b**3/7 + 1. Factor r(y).
-2*y**2*(y - 6)*(y + 2)/7
Suppose -6*y + 8 = -2*y. Factor 6 - 9*o - 3 + 3*o**y + 3.
3*(o - 2)*(o - 1)
Let j(x) be the third derivative of 0*x + 7/12*x**4 - 32*x**2 - 1/60*x**5 + 0 - 49/6*x**3. Let j(m) = 0. What is m?
7
Let f(h) be the third derivative of -h**8/756 - 8*h**7/945 + h**6/54 - 123*h**2. Suppose f(w) = 0. Calculate w.
-5, 0, 1
Suppose 6 = 2*f + f - 2*p, 4*p = 0. Let 1 + f + 3*x**3 - 74*x**2 + 71*x**2 - 3*x = 0. What is x?
-1, 1
Let 0 + 1/5*z**4 + 0*z + 174/5*z**3 + 7569/5*z**2 = 0. Calculate z.
-87, 0
Factor -139 - 30 - 15*x - 11*x - x**2.
-(x + 13)**2
Let x(f