 - y**2 = 0. What is y?
4, 8
Let i be (-2)/(-30) - 39/(-117). Find x such that -4/5*x + i*x**2 + 2/5 = 0.
1
Let j(a) be the second derivative of -1/15*a**6 + 0*a**3 + 2*a + 0*a**2 + 0 + 3/5*a**5 + 0*a**4. Factor j(n).
-2*n**3*(n - 6)
Factor -108*i**3 + 84*i**3 - 4*i**4 - 11*i**2 - 40*i - 12 - 37*i**2.
-4*(i + 1)**3*(i + 3)
Let r(m) be the third derivative of -m**5/16 - 7*m**4/24 + m**3/6 - 5*m**2 + 20*m. Factor r(f).
-(f + 2)*(15*f - 2)/4
Suppose -18*v = 8*v - 6*v. Let t(i) be the second derivative of 1/15*i**4 + v - 4*i - 1/105*i**7 + 1/15*i**3 + 0*i**2 + 0*i**5 - 2/75*i**6. Factor t(l).
-2*l*(l - 1)*(l + 1)**3/5
Factor 6*f**5 + 9*f**5 + f**5 - 33*f**4 + 12*f**2 - 5*f**5 + 24*f**3 - 2*f**5.
3*f**2*(f - 2)**2*(3*f + 1)
Suppose 1246 = -4*i - 10*i. Let g = i - -181/2. Let 9/2*d**4 - 3*d**3 + 9/2*d - 3/2 - 3*d**2 - g*d**5 = 0. What is d?
-1, 1
Let h(b) = -6*b**3 + 3*b**2 - 15*b + 21. Let c = 48 - 43. Let q(p) = 7*p**3 - 2*p**2 + 14*p - 22. Let t(i) = c*q(i) + 6*h(i). Let t(a) = 0. Calculate a.
2, 4
Let k be 6 + 430/(-25) - -12. Suppose -k + 36/5*u - 81/5*u**2 = 0. What is u?
2/9
Let p(r) be the third derivative of r**7/2520 + r**6/360 - r**4/8 + 7*r**2. Let n(v) be the second derivative of p(v). Factor n(o).
o*(o + 2)
Let u = 252/5 - 429/10. Let d(o) be the second derivative of 20/3*o**3 + 2*o - 1/6*o**6 + 5/2*o**4 + u*o**2 + 0 + 0*o**5. Factor d(a).
-5*(a - 3)*(a + 1)**3
Let t be 8/((-11760)/(-5887)) - 4. Let p(r) be the third derivative of 0*r**4 + 6*r**2 + t*r**7 + 0*r + 0 + 1/120*r**6 - 1/30*r**5 + 0*r**3. Factor p(c).
c**2*(c - 1)*(c + 2)
Let p(f) be the second derivative of 0*f**2 + 0*f**5 - 1/15*f**4 + 0 + 2/75*f**6 - 1/105*f**7 + 1/15*f**3 + 14*f. Suppose p(r) = 0. Calculate r.
-1, 0, 1
Let c(o) = -3*o**3 - 9*o**2 - 21*o + 113. Let m(x) = 7*x**3 + 19*x**2 + 41*x - 223. Let a(q) = -9*c(q) - 4*m(q). Determine h so that a(h) = 0.
-5, 5
Let q = 56/93 - 19/186. Find j, given that -q*j**4 + 7/2*j - 9/2*j**2 + 5/2*j**3 - 1 = 0.
1, 2
Let l = -70301/95 + 740. Let h = 183/665 - l. Factor -2/7*i + 2/7*i**3 - h*i**2 + 0 + 2/7*i**4.
2*i*(i - 1)*(i + 1)**2/7
Let m = -42 - -44. Factor -3 + 4*l + 9 + l**3 + 4*l + 5*l**m - 2.
(l + 1)*(l + 2)**2
Let r = 1/245 + 233/2940. Let z(n) be the second derivative of 0*n**3 + r*n**4 + 3*n - 1/2*n**2 + 0. Solve z(d) = 0 for d.
-1, 1
Let v(j) = j**3 - 60*j**2 + 3*j - 176. Let r be v(60). What is k in 0 + 4/3*k**5 + 4*k**2 - 8/3*k - r*k**4 + 4/3*k**3 = 0?
-1, 0, 1, 2
Let p(l) be the first derivative of -l**6/3 - 4*l**5/5 - 27. Let p(o) = 0. What is o?
-2, 0
Let x(i) be the third derivative of -3/20*i**4 - 7/150*i**6 + 0*i - 2/175*i**7 - 1/840*i**8 - i**2 + 0 - 8/75*i**5 - 2/15*i**3. Factor x(s).
-2*(s + 1)**4*(s + 2)/5
Let t be -4 - (6 + 121938/(-11690)). Let p = t - 2/835. Determine s, given that -18/7*s**3 + 9/7 - 6/7*s**2 - 3/7*s**4 + 15/7*s + p*s**5 = 0.
-1, 1, 3
Solve 25/3 - 1/3*q**2 + 0*q = 0 for q.
-5, 5
Let j be ((-4)/(-7))/((-14)/(-49)). Suppose 0*r**2 + 2*r**5 - 2*r**4 + 2*r + 12*r**3 + 12*r**4 - j*r**4 + 8*r**2 = 0. Calculate r.
-1, 0
Let b(c) be the second derivative of 0*c**3 + 0 - 1/135*c**6 - 1/90*c**5 + 34*c + 1/27*c**4 + 0*c**2. Factor b(x).
-2*x**2*(x - 1)*(x + 2)/9
Let i(s) = -s**3 - 2*s**2 + 2*s - 1. Let v be i(-3). Suppose v*c - 4*a + 1 = 3, 0 = -5*c - 3*a + 18. Let 16*y**3 + 3*y - y - 18*y**c = 0. Calculate y.
-1, 0, 1
Let s(r) = -r**3 - 2*r**2 - 3*r - 2. Let j be s(-1). Suppose j = -d - 3*f, -3*d - 2*f - 2*f = -5. Factor -d*q**2 - 3*q - 3*q**2 + 9*q**2.
3*q*(q - 1)
Let g = -23 - -47. Suppose -9*v = -13*v + g. Factor -10*k**2 + v*k**2 - k**3 - 3*k**3 + 4*k + 4.
-4*(k - 1)*(k + 1)**2
Let j be 0/(3 + -1) + -9 + 14. Let j*w**2 - 6*w**2 - 6*w - w**2 = 0. What is w?
-3, 0
Let q(p) be the third derivative of -3/2*p**3 + 0*p - 1/240*p**5 + 0 + 17*p**2 + 1/8*p**4. Factor q(k).
-(k - 6)**2/4
Let s(n) be the third derivative of n**5/360 - n**4/72 - 5*n**3/12 + 89*n**2. Factor s(u).
(u - 5)*(u + 3)/6
Let i(a) = 4*a**2 + 10*a + 2. Let z(o) = -4*o**2 - 12*o - 3. Let h(q) = 3*i(q) + 2*z(q). Factor h(g).
2*g*(2*g + 3)
Let j(p) = 8*p - 12. Let g be j(3). Suppose 5*k + 47 = 5*y + g, 5*k + 5 = -y. Suppose 1/4*u + 0 + 1/2*u**2 - 1/4*u**y - 1/2*u**4 + 0*u**3 = 0. What is u?
-1, 0, 1
Suppose 8 + 1/2*i**5 + 5*i + 7/2*i**4 - 11/2*i**3 - 23/2*i**2 = 0. Calculate i.
-8, -1, 1, 2
Solve 0*y**2 - 1/2*y**5 - 9/2*y + 0 + 0*y**4 + 5*y**3 = 0 for y.
-3, -1, 0, 1, 3
Suppose 4*k - w - 1 = 21, 5*w = -2*k. Let n(f) be the third derivative of 0*f**3 + 0*f - 1/60*f**6 + 0*f**k + 0 + 8*f**2 + 1/12*f**4. Factor n(j).
-2*j*(j - 1)*(j + 1)
Let l be (-4)/(-8)*-2 + 8. Let s = l - 5. Factor 0*p**2 - 3*p - 7*p**2 + 2 + 0*p - s*p.
-(p + 1)*(7*p - 2)
Let t(p) = p**3 - 10*p**2 - 42*p + 39. Let k be t(13). Let z be 17/5 + 4/(-10). Factor 0*b + k - 4/5*b**2 + 2/5*b**z.
2*b**2*(b - 2)/5
Let t(w) be the third derivative of w**8/672 - w**6/60 - w**2 + 2. Factor t(i).
i**3*(i - 2)*(i + 2)/2
Let f be ((-15)/((-75)/46))/((-1)/5). Let w be 7/22 + f/(-253). Factor w*y - 1/3 - 1/6*y**2.
-(y - 2)*(y - 1)/6
Suppose 34*w = 32*w + 10. Let t(z) = -z**2 - 6*z - 5. Let g(k) = -2*k**2 - 11*k - 9. Let u(d) = w*t(d) - 3*g(d). Let u(v) = 0. What is v?
-2, -1
Suppose 0*k + 17 = k. Suppose -5 = v, b - v - k = -3*b. Let 2*w**b - 3*w - 3*w - 3*w**2 + 0*w + 7*w**3 = 0. Calculate w.
-2/3, 0, 1
Let -16*y**2 - 14*y**4 - 4*y**4 + 3*y**5 - 12*y + 32*y**4 + 11*y**3 = 0. What is y?
-3, -2, -2/3, 0, 1
Let b(v) be the first derivative of 0*v**2 + 4/15*v**5 - 1/18*v**6 + 0*v**3 - 12 - 1/3*v**4 + 0*v. Factor b(t).
-t**3*(t - 2)**2/3
Let z(s) be the second derivative of -s**5/20 + 4*s**4/3 - 32*s**3/3 - 17*s - 1. Factor z(f).
-f*(f - 8)**2
Let k = -11/27 + 379/135. Suppose 4*x + 2*f = 0, -20 = 6*f - f. Solve -4/5*s**x + 0 - k*s = 0 for s.
-3, 0
Let o(w) be the third derivative of 1/42*w**4 - 9/280*w**6 + 0 - 1/588*w**8 - 19/1470*w**7 + 24*w**2 - 2/105*w**5 + 0*w**3 + 0*w. Let o(h) = 0. Calculate h.
-2, -1, 0, 1/4
Let f be (-1)/(-3) - (112/(-42))/(-8). Suppose 8*k = 10*k - 4. Factor 0*h + 0 + f*h**3 + 4/5*h**k - 4/5*h**4.
-4*h**2*(h - 1)*(h + 1)/5
Let g(h) be the second derivative of h**7/28 - h**6/20 - 3*h**5/10 + h**4/2 + 60*h - 1. Find r such that g(r) = 0.
-2, 0, 1, 2
Let y be (((-3920)/(-84))/(-35))/((8/3)/(-4)). Factor 3*x**y - 6/5*x**3 + 0 - 9/5*x.
-3*x*(x - 1)*(2*x - 3)/5
Let t(f) = 3*f**2 - 12*f - 9. Suppose -b = -2*y + 8, 3*y - 8*y + 3*b = -19. Let g(k) = 6*k**2 - 23*k - 19. Let r(h) = y*t(h) - 3*g(h). Factor r(z).
-3*(z - 4)*(z + 1)
Let a(h) be the third derivative of -1/60*h**6 + 0*h**3 - 28*h**2 + 0*h**4 + 1/210*h**7 + 0*h + 1/672*h**8 + 0 - 1/15*h**5. Factor a(r).
r**2*(r - 2)*(r + 2)**2/2
What is v in -5329/4 - 1/4*v**2 + 73/2*v = 0?
73
Suppose -x + 3*x = 0. Let z = -1/886 - -3549/4430. Factor 2/5*s**3 - z*s**2 + x + 2/5*s.
2*s*(s - 1)**2/5
Let c = 124/413 - -16/59. Determine l so that 0 + c*l**5 + 0*l + 0*l**4 - 4/7*l**3 + 0*l**2 = 0.
-1, 0, 1
Find z, given that -841/3 + 58/3*z - 1/3*z**2 = 0.
29
Suppose 13 = 4*u - 5*t, u - 5*t = -7 - 1. Suppose -1 = n - x, -11*n + u*n = x - 21. Factor -2/5*q + 2/3*q**2 + 0 - 2/15*q**3 - 2/15*q**n.
-2*q*(q - 1)**2*(q + 3)/15
Let s = -55 - -58. Let z = s + -7/3. Let 2/3*c + z*c**4 + 2/3 + 2/3*c**5 - 4/3*c**2 - 4/3*c**3 = 0. What is c?
-1, 1
Let d(f) = f**3 + 10*f**2 + 8*f - 9. Let x be d(-9). Factor -16*p + 0*p**2 - 3*p**3 + x*p**2 + 2*p**2 + 8 + 9*p**3.
2*(p - 1)*(p + 2)*(3*p - 2)
Suppose -3*z + 6*c - 2*c = 35, -4*z = 5*c - 5. Let g be ((-24)/15)/(7*2/z). What is m in -24/7*m - 36/7 - g*m**2 = 0?
-3
Let i(r) = -2*r - 8. Let s be i(-4). Let v(d) be the second derivative of 0 + 3/20*d**5 - 5*d + 0*d**2 + 1/6*d**4 - 1/6*d**6 + s*d**3. Solve v(l) = 0 for l.
-2/5, 0, 1
Let m = -49 - -34. Let k be ((-2)/(-3))/((-5)/m). Determine v, given that -11*v**2 + 52*v**4 - 3*v**5 - 43*v**4 + k*v**2 - 3*v**3 + 6*v = 0.
-1, 0, 1, 2
Let y = 5 - -15. Let k = 23 - y. Suppose -2*b**3 - 3*b**2 - 2*b - 5*b**2 + 6*b**k + 6*b**2 = 0. What is b?
-1/2, 0, 1
Let o be 2/7 + (-2 - -2). Let x(b) = -3*b**3 - 70*b**2 - 23*b + 4. Let h be x(-23). Suppose o*l**h + 6/7*l**3 + 0 + 2/7*l + 6/7*l**2 = 0. Calculate l.
-1, 0
Let g be ((-8)/6 + 100/75)/(-2). Let b(k) be the second derivative of 1/100*k**5 - 1/20*k**4 + 0*k**2 + g - k + 1/15*k**3. Let b(c) = 0. What is c?
0