What is a in y(a) = 0?
-1/8, 0, 1
Let h(i) = 317*i - 2533. Let n be h(8). Let g(q) be the third derivative of -1/20*q**5 + 1/2*q**n + 1/3*q**4 + 0*q + 0 + 15*q**2. Determine l so that g(l) = 0.
-1/3, 3
Factor 27/4*r + 6 + 3/4*r**2.
3*(r + 1)*(r + 8)/4
Let t(s) be the second derivative of 0*s**2 - 3 - 3/80*s**5 + 0*s**4 - 1/60*s**6 + 0*s**3 + 1/168*s**7 - 4*s. Suppose t(l) = 0. Calculate l.
-1, 0, 3
Suppose -4*c - 4*c = c + c. Let t(h) be the second derivative of -1/14*h**7 - 1/10*h**6 + 9/20*h**5 + 5/4*h**4 + c*h**2 + 0 + h**3 + 4*h. What is n in t(n) = 0?
-1, 0, 2
Let h be ((-13)/39)/(1/(-18)). Suppose -6*a + 48 = h*a. Factor o**5 + 0*o**5 - 11*o**a + 4*o**2 - 3*o + 7*o**4 + 2*o**3.
o*(o - 3)*(o - 1)**2*(o + 1)
Let d = -127 + 358. Let j be 266/d + 3*(-4)/(-66). Factor 4/3*x - j - 4/3*x**3 + 4/3*x**2.
-4*(x - 1)**2*(x + 1)/3
Let p(h) = 895*h**3 - 9770*h**2 - 1261*h - 44. Let j(s) = -448*s**3 + 4886*s**2 + 636*s + 22. Let f(m) = -5*j(m) - 2*p(m). Solve f(u) = 0.
-1/15, 11
Let r = 233 - 228. Solve 8*w + 5*w**2 + r*w - 17*w + 9*w = 0.
-1, 0
Let -157*s + 18*s + 11*s - 41*s - 11*s + 5*s**2 + 1620 = 0. Calculate s.
18
Let h(f) be the third derivative of 1/120*f**5 - 1/1260*f**7 + 0*f + 0*f**6 + 0 - 1/72*f**4 - 58*f**2 + 0*f**3. Let h(x) = 0. What is x?
-2, 0, 1
Let t = -6718/55 + 1348/11. Let l be (-4)/(-6)*18/10. Factor -6/5*b - t*b**3 + 2/5 + l*b**2.
-2*(b - 1)**3/5
Suppose -f + 2*c - 10 = 0, -10 = 2*f - 10*c + 8*c. Suppose f = -4*t + 8, -t + 2 = 20*r - 16*r. Let 0*s + r - 4/17*s**2 + 2/17*s**4 + 2/17*s**3 = 0. Calculate s.
-2, 0, 1
Let p = -105394/7 - -105542/7. Find q such that -16/7*q**4 - 12/7*q**3 - 36/7 + p*q**2 + 108/7*q = 0.
-3, -1, 1/4, 3
Suppose 234 = 2*t + 452 - 224. Let x(h) be the third derivative of 0*h**5 + 5/24*h**4 + 0*h + 13*h**2 + 0 + 0*h**t - 1/24*h**6. Factor x(g).
-5*g*(g - 1)*(g + 1)
Let l(y) = 7*y**2 - 327*y + 654. Let g(a) = -29*a**2 + 1304*a - 2618. Let s(f) = -2*g(f) - 9*l(f). Factor s(m).
-5*(m - 65)*(m - 2)
Let z(c) = c**3 + 10*c**2 + 9*c + 11. Let p be z(-4). Find k, given that p*k**3 + 72*k**3 - 195*k**3 + 60*k**3 - 2*k**5 - 6*k**4 = 0.
-4, 0, 1
Let w(p) be the first derivative of 54*p**6 - 142*p**2 - 592/3*p**3 + 28 - 40*p + 504/5*p**5 - 42*p**4. Determine l so that w(l) = 0.
-1, -1/3, 10/9
Suppose 2*r - 4 = 4*x, -917 + 967 = 5*x + 3*r. Factor -4/5*o**x + 1/5*o - 1/5*o**3 + 4/5*o**2 + 0.
-o*(o - 1)*(o + 1)*(4*o + 1)/5
Let x be (8/(-6))/((-24)/450). Determine n so that -25*n**2 + 10*n**4 + 52 - 90 + 16*n**3 - x*n + 53 + 9*n**3 = 0.
-3, -1, 1/2, 1
Determine h so that -26/5*h**3 + 92/5*h + 82/5*h**2 - 16/5 = 0.
-1, 2/13, 4
Let x(b) be the first derivative of -3*b**4/2 - 923*b**3 - 159390*b**2 + 160083*b + 946. Determine d, given that x(d) = 0.
-231, 1/2
Factor -1/3*o**2 + 13/3*o - 12.
-(o - 9)*(o - 4)/3
Solve -4688*f**2 - 156*f - 45*f**4 - 152*f**3 - 9 + 5021*f**2 + 29 = 0.
-5, 2/9, 2/5, 1
Let z(i) = 13*i - i**2 - 2 - 10*i - 4 + 7*i. Let s be z(8). Factor -6*c**5 + 85*c + 10 - 199*c - s*c**2 + 20*c**3 + c**5 + 99*c.
-5*(c - 1)**3*(c + 1)*(c + 2)
Let a be 38/12 + ((-807)/(-18))/269. Factor -a - 25/3*s**3 - 35/3*s - 15*s**2 - 5/3*s**4.
-5*(s + 1)**3*(s + 2)/3
Suppose 2*m = -4*f + 1466, -f + 4*f - 1095 = 3*m. Let t = -364 + f. Solve -t*r + 8/5*r**2 - 2/5*r**3 + 4/5 = 0.
1, 2
Let o(q) = -6*q**4 - 132*q**3 - 363*q**2 - 243*q + 3. Let x(a) = 17*a**4 + 395*a**3 + 1090*a**2 + 728*a - 8. Let h(v) = -8*o(v) - 3*x(v). Factor h(r).
-3*r*(r + 1)*(r + 2)*(r + 40)
Let s(g) = 11*g**3 - 450*g**2 - 14*g + 42. Let o(k) = -40*k**3 + 1575*k**2 + 50*k - 150. Let d(l) = -7*o(l) - 25*s(l). Factor d(u).
5*u**2*(u + 45)
Factor 2048/3 + 4263176/3*d**2 + 62208*d + 176904*d**3 + 16562/3*d**4.
2*(d + 16)**2*(91*d + 2)**2/3
Find i, given that -81738*i**2 + 9*i**5 + 81683*i**2 + 115*i**3 - 65*i**4 - 4*i**5 = 0.
0, 1, 11
Let d(j) be the first derivative of 12*j**3/7 - 16*j**2 + 48*j/7 + 494. Factor d(m).
4*(m - 6)*(9*m - 2)/7
Let x(q) = -163*q**4 - 448*q**3 - 311*q**2 + q - 9. Let n(m) = m**4 - 2*m**3 - m**2 - m + 1. Let a(v) = -9*n(v) - x(v). Find t, given that a(t) = 0.
-2, -1, -2/77, 0
Let y(u) be the first derivative of -4/3*u**3 - 22*u**2 + 0*u - 28. Let y(o) = 0. Calculate o.
-11, 0
Suppose 21*v - 19*v - 140 = 0. Let s = 124 - v. Suppose 11*x**4 - s*x**2 - 14*x**4 - 4*x**3 - 7*x**3 - 13*x**3 + 81 = 0. What is x?
-3, 1
Suppose -1386*m = -1286*m. Let b(d) be the second derivative of 0*d**5 + m + 0*d**2 + 46*d + 1/24*d**4 + 0*d**3 - 1/60*d**6. Find k, given that b(k) = 0.
-1, 0, 1
Let u be (-77)/(-462) - 3/(-90)*-3. Let p(k) be the second derivative of -81*k**2 + 6/5*k**5 + 2*k - u*k**6 + 36*k**3 - 9*k**4 + 0. Factor p(h).
-2*(h - 3)**4
Let k be 2 - 4 - (-1513 + -3). What is f in -10*f**2 + k*f - 1499*f + 3*f**3 - 8*f**3 = 0?
-3, 0, 1
Let s(l) = -22*l**4 + 106*l**3 - 1712*l**2 + 8316*l - 10560. Let k(p) = -2*p**4 + p**2 - p + 2. Let d(r) = 20*k(r) - 2*s(r). Factor d(z).
4*(z - 23)**2*(z - 5)*(z - 2)
Let p(h) = -3*h**3 + 248*h**2 + 1415*h - 5808. Let o(y) = 2*y**3 - 236*y**2 - 1414*y + 5808. Let d(r) = 7*o(r) + 6*p(r). Suppose d(k) = 0. Calculate k.
-22, 3
Let a(l) = 4*l + 98. Let s be a(-24). Suppose -2*u = -14*u. Suppose -1/2*b**s - 2*b + u = 0. What is b?
-4, 0
Let k(z) = -z**2 - 32*z - 64. Let w be k(-20). Let i be 60/33 + 32/w. Solve 0*s + 0 + 3/4*s**i = 0 for s.
0
Let k = -5 + 7. Suppose 186 = 2*p + 4*z, -p + 2*z = -6*p + 449. Determine a so that -6 - 100*a + k + 48*a - p*a**2 - 80*a**2 = 0.
-2/13
Let b(d) = -d**3 - 4*d**2 - d - 5. Let n be b(-5). Let k = 883515/2 - 441745. Factor -25/2*q**4 - 5/2 + 25*q**3 - n*q**2 + 5/2*q**5 + k*q.
5*(q - 1)**5/2
Suppose 2/3*l**2 + 16*l + 0 = 0. Calculate l.
-24, 0
Factor -3/7*n**2 - 12*n - 585/7.
-3*(n + 13)*(n + 15)/7
Find j, given that -72/7*j**4 - 396/7*j + 117/7*j**3 + 0 + 348/7*j**2 + 3/7*j**5 = 0.
-2, 0, 1, 3, 22
Suppose -5*v + 411 = 2*g - 2584, -4*g - 2995 = -5*v. Suppose -5*j - c + 5*c + 746 = 0, c = 4*j - v. Factor -5*z**2 - 124*z + 259*z - j*z.
-5*z*(z + 3)
Let z(v) = -5*v**2 - 14*v - 2. Let i(m) = -14*m**2 - 42*m - 6. Let n(t) = -3*i(t) + 8*z(t). Let c be n(-7). Factor -5*a**3 + 1648*a**2 + 5*a - 1648*a**c.
-5*a*(a - 1)*(a + 1)
Let r = 1608196/3 + -536018. Let -74/3*h**2 - r*h - 2/3*h**3 - 70/3 = 0. What is h?
-35, -1
Let b(y) = y**3 + 17*y**2 - 18*y + 5. Let c be b(-18). Suppose 3*l = 15, -3*l + 12 = c*p - 13. Find x such that 9/4*x**3 + 1/4 + 3/4*x**p - 5/4*x = 0.
-1, 1/3
Suppose 2*t = 3*j + 73, t = -t + 5*j + 67. Let r = -39 + t. Determine i, given that -i**2 - 4*i**2 - i - 4 - i**3 - 5*i - r*i = 0.
-2, -1
Factor -1/2*v**2 + 21/2 + 10*v.
-(v - 21)*(v + 1)/2
Suppose 22*x = 167 + 76 + 175. Let v(s) be the third derivative of -1/480*s**5 + 1/48*s**3 + 0 - 1/960*s**6 + 1/192*s**4 - x*s**2 + 0*s. What is h in v(h) = 0?
-1, 1
Let n = -10678/69 + 7481671/276. Solve -n + 12*q**5 - 1646865/4*q**2 - 852687/4*q + 154443/4*q**3 - 1182*q**4 = 0.
-1/4, 33
Let v(i) be the first derivative of -286 + 1/3*i**3 - 21*i + 10*i**2. Factor v(y).
(y - 1)*(y + 21)
Let z be (-8 + 11100/1365)/(4/26). Factor -18/7*k**3 - 38/7*k + z + 66/7*k**2.
-2*(k - 3)*(3*k - 1)**2/7
Let u(x) be the second derivative of x**6/6 + 1895*x**5/4 + 498490*x**4 + 628094240*x**3/3 - 631089920*x**2 - 7500*x. What is d in u(d) = 0?
-632, 1
Let v = -2/91833 - -26240/91833. Suppose -2/7*k**5 - 4/7*k**2 + v*k**3 + 0*k + 0 + 4/7*k**4 = 0. What is k?
-1, 0, 1, 2
Suppose -3*c = -u + 11 - 70, 2*c + 3*u = 43. Suppose -2*h = -3*m + 8, 3*m - c*h + 23*h + 12 = 0. Factor -2/5*b**2 + m*b + 0 - 2/15*b**4 + 8/15*b**3.
-2*b**2*(b - 3)*(b - 1)/15
Let g = -19591/2 + 97979/10. Let -4/5*h**2 - g*h - 8/5 = 0. What is h?
-2, -1
Suppose 4 - 2 = 2*y. Let r = y - -3. Factor -8*u**3 - 10*u**2 + 25*u - 5*u**3 + 20*u**r - 7*u**3 - 10 - 5*u**5.
-5*(u - 2)*(u - 1)**3*(u + 1)
Let j = 325123/4 - 81280. Factor -3/2*t**2 + j*t**3 + 0*t + 0.
3*t**2*(t - 2)/4
Suppose -40*y + 19 + 42 + 19 = 0. Determine x, given that -4/11*x**y + 14/11*x**5 + 0 + 4/11*x**4 + 18/11*x - 32/11*x**3 = 0.
-9/7, -1, 0, 1
Let b be (-941779)/(-610)*1/(-1). Let k = b - -1544. Factor 1/10*y + 0 + 0*y**2 - k*y**3.
-y*(y - 1)*(y + 1)/10
Let u(g) be the first derivative of -3*g**5/5 + 39*g**4/4 - 47*g**3 + 105*g**2/2 + 1624. Determine d, given that u(d) = 0.
0, 1, 5, 7
Let i(q) be the first derivative of 