3 - 784*x**2. Solve l(y) = 0.
1, 108
Let -556*x + 154568 + 1/2*x**2 = 0. What is x?
556
Let 9 + 567*s + 562*s - 1105*s + s**4 + 22*s**2 + 8*s**3 = 0. What is s?
-3, -1
Let w(i) be the third derivative of 49 - 4/3*i**3 - 53/72*i**4 + 2*i**2 + 0*i + 7/180*i**5. Find u, given that w(u) = 0.
-3/7, 8
Let w = -1/5373 - -21499/37611. Let a be 6/(-126) - 2/(-6). Determine v, given that -a*v + 2/7*v**5 + 0*v**3 + 4/7*v**4 - w*v**2 + 0 = 0.
-1, 0, 1
Let y = -1050132 - -1050135. Suppose 176/5*q**y + 2/5*q**4 + 774*q**2 - 3872/5 - 176/5*q = 0. Calculate q.
-44, -1, 1
Let b(c) = 2*c**3 + 23*c**2 + 20*c - 97. Let z be b(-10). Let t(w) be the first derivative of 3/4*w**4 + 12 - 9/2*w**2 + 0*w + 2*w**z. Factor t(k).
3*k*(k - 1)*(k + 3)
Let g = 439520 + -439518. What is k in -2/5*k**3 + 6/5*k + 0*k**g + 4/5 = 0?
-1, 2
Let i(y) be the first derivative of -3*y**2/2 + 27*y + 24. Let g be i(5). Solve -10*f - 12*f**4 + 9*f**3 + f**5 + g*f**2 + 23*f + 2*f**5 - 25*f = 0.
-1, 0, 1, 2
Let r(v) = -2*v**3 + v**2 + 2*v + 2. Let h(o) = 7*o**3 - 421*o**2 - 3647*o - 3222. Let y(u) = h(u) + r(u). Factor y(f).
5*(f - 92)*(f + 1)*(f + 7)
Suppose -5*d = -124 + 49. Let s = -10 + d. Solve j - 5*j + 8*j**3 - 4*j**s + 0*j = 0.
-1, 0, 1
Solve -780*g**4 + 24*g**5 - 1725/2 + 11451/2*g**3 - 13035/2*g - 21579/2*g**2 = 0.
-1/4, 5, 23
Suppose 0 = -5*n - l + 153, -5*l - 95 = -3*n - 4*l. Factor 9*f + n - 23 + 4 - 3*f**2.
-3*(f - 4)*(f + 1)
Let v(m) be the second derivative of -m**6/90 + 31*m**5/20 + 385*m**4/36 + 97*m**3/6 + 864*m - 1. Suppose v(a) = 0. What is a?
-3, -1, 0, 97
Let z(v) = v**2 - 1. Suppose 12 = -2*g - 2*g - 12. Let b(u) = u + 3*u - 2*u + 2 - u**2. Let n(t) = g*z(t) - 3*b(t). Factor n(c).
-3*c*(c + 2)
Let p(s) be the first derivative of -1/24*s**6 + 81/2*s**2 + 92 - 45/2*s**3 + 3/5*s**5 - 9/16*s**4 + 486*s. Factor p(h).
-(h - 6)**3*(h + 3)**2/4
Let 3920/13*v**4 + 32/13*v**5 + 0 + 121026/13*v**3 + 59780/13*v**2 + 7442/13*v = 0. What is v?
-61, -1/4, 0
Let j be (-87)/9 - (-31)/(-93). Let m be (-16)/j*(-220)/(-176). Solve 9/2 + 3/4*v**m - 15/4*v = 0 for v.
2, 3
Let v be (81/(-90))/((-6)/8). Let c = 5175 - 25873/5. Determine o so that 0 - v*o - c*o**2 = 0.
-3, 0
Let w(z) = 2*z**4 + 42*z**3 + z**2 - 21*z. Let v(n) = 2*n**4 + 36*n**3 - 22*n. Let x(a) = 6*v(a) - 4*w(a). Factor x(u).
4*u*(u - 1)*(u + 1)*(u + 12)
Let a = -606 + 622. What is k in -52*k**3 + 17087*k**4 - 17063*k**4 - 22*k**2 - a*k + 70*k**2 - 4*k**5 = 0?
0, 1, 2
Let 972/7*n + 118098/7 + 2/7*n**2 = 0. Calculate n.
-243
Let a = -6044 + 6044. Let q(w) be the second derivative of 0*w**6 + 2/63*w**7 - 1/5*w**5 + 2/9*w**4 + 15*w + a*w**2 + 0 + 0*w**3. Factor q(s).
4*s**2*(s - 1)**2*(s + 2)/3
Let j(v) = 124*v - 8. Let r be j(2). Suppose -o - r = -5*o. Factor 20*l**5 - 689*l - 75*l**4 + 20*l**2 + o*l**3 + 689*l.
5*l**2*(l - 2)**2*(4*l + 1)
Suppose -3*x = -5*n - 2 - 6, 4*x - 7 = 3*n. Suppose -x = -4*z + 7. Find f such that z*f**5 + 3*f**5 - 129*f**4 + 2*f**3 + 136*f**4 = 0.
-1, -2/5, 0
Let w be 30/45*(-18)/(-4). Suppose -55 + 80*c**2 - 9 + 32*c - 4*c**5 - 20*c**4 + 12*c**2 - 28*c**w - 8*c**4 = 0. What is c?
-4, -1, 1
Let n(y) be the second derivative of y**4/42 + 2*y**3 - 1080*y**2/7 + 6234*y. Factor n(h).
2*(h - 18)*(h + 60)/7
Factor -2548/5 - 2/5*c**2 + 42*c.
-2*(c - 91)*(c - 14)/5
Let n = -139368 + 696862/5. Factor 0*x + 0*x**2 + 52/5*x**3 + 0 - n*x**4 - 2/5*x**5.
-2*x**3*(x - 2)*(x + 13)/5
Let y(h) be the third derivative of -h**8/504 - 13*h**7/315 - 67*h**6/180 - 19*h**5/10 - 6*h**4 - 12*h**3 + h**2 + 1336*h. Factor y(j).
-2*(j + 2)**2*(j + 3)**3/3
Factor 19818*q + 2874 + 1165 + 1625 - 21*q**2.
-3*(q - 944)*(7*q + 2)
Suppose x - 27*x = -1040. Suppose 6*s - x = -14*s. What is b in -s*b**3 + 0 + 3*b**5 + 7/2*b**2 - 7/2*b**4 - b = 0?
-1, 0, 1/2, 2/3, 1
Let w(m) be the second derivative of m**7/1680 - 3*m**5/80 - 37*m**3/6 - m - 5. Let j(z) be the second derivative of w(z). Factor j(a).
a*(a - 3)*(a + 3)/2
Let p be (-72)/120 + 63/5. Determine o so that 2*o**3 + p*o + 2 + 6 - 11350*o**2 + 4*o + 11360*o**2 = 0.
-2, -1
Suppose -416*i - 415*i + 671*i + 5*i**2 = 0. What is i?
0, 32
Let f(k) = k**3 - 2*k**2 - 4*k - 13. Let i be f(4). Let 40*y + y**4 + 0*y**4 + 25 - 11*y**3 + 6*y**2 + 3*y**i = 0. Calculate y.
-1, 5
Let j(d) = 4*d + 3. Let g be j(-1). Let b be (4/(-4))/g - -49. Determine q, given that b*q + q**3 + q**3 + 3*q**2 - q**2 + 18*q**2 = 0.
-5, 0
Let m(p) be the first derivative of -9*p**4/4 + 80*p**3/3 + 207*p**2/2 + 22*p + 8023. Factor m(u).
-(u - 11)*(u + 2)*(9*u + 1)
Suppose 7*w = -2215 + 2292. Let s be (-84)/12 - (0 - w). Let 0*d**s - 1/4*d + 0*d**2 - 1/4*d**5 + 0 + 1/2*d**3 = 0. Calculate d.
-1, 0, 1
Let o(m) be the first derivative of -2*m**3/27 + 47*m**2/9 - 140*m/3 + 2305. Suppose o(f) = 0. What is f?
5, 42
Let l be -1*4*(132/126)/((-6)/9). What is w in -6*w**2 + 16/7*w**3 + l*w - 2/7*w**4 - 16/7 = 0?
1, 2, 4
Let w(b) be the first derivative of -3/4*b**2 - 1/8*b**4 + 2/3*b**3 + 0*b - 231. Factor w(l).
-l*(l - 3)*(l - 1)/2
Let m(k) be the second derivative of -k**5/4 - 10*k**4 - 70*k**3 + 1960*k**2 + 1771*k. Let m(y) = 0. Calculate y.
-14, 4
Solve 105/2*v + 317/4*v**4 - 5*v**5 + 535/4*v**2 - 485/2*v**3 - 18 = 0 for v.
-2/5, 1/4, 1, 3, 12
Let o(h) be the first derivative of -h**5/30 + 25*h**4/6 - 197*h**3/18 + 49*h**2/6 - 49. Factor o(w).
-w*(w - 98)*(w - 1)**2/6
Let n(l) = 4*l**4 + 101*l**3 - 85*l**2 + 61*l - 9. Let u(z) = 11*z**4 + 292*z**3 - 254*z**2 + 183*z - 28. Let j(r) = 17*n(r) - 6*u(r). Factor j(g).
(g - 15)*(g - 1)**2*(2*g - 1)
Let g(f) be the first derivative of 1352*f + 106/3*f**3 - 77 - 1/2*f**4 - 728*f**2. Let g(w) = 0. What is w?
1, 26
Let h(g) be the first derivative of -3/2*g**2 + 1/7*g**3 - 24/7*g - 52. Factor h(o).
3*(o - 8)*(o + 1)/7
Let k(z) be the second derivative of z**9/45360 + z**8/1680 + 29*z**4/6 - 163*z. Let i(r) be the third derivative of k(r). Factor i(y).
y**3*(y + 12)/3
Let h(n) be the second derivative of 1/180*n**6 + 4*n + 1/12*n**2 - 1/30*n**5 + 1/12*n**4 - 1/9*n**3 - 5. Let h(i) = 0. Calculate i.
1
Let r(z) be the first derivative of z**3/21 + 479*z**2/14 - 276*z - 12937. Suppose r(d) = 0. Calculate d.
-483, 4
Let o be 2/(-5) + 1 + 70/50. Suppose -6*f**3 + 6*f - 2*f**2 + 4 - 7*f**4 - o*f**4 + 7*f**4 = 0. What is f?
-2, -1, 1
Solve 524/15*r**2 + 104/3 - 1042/15*r - 2/15*r**3 = 0 for r.
1, 260
Let l be 995778/841995 - (2 + -1). Let a = -1/1215 + l. Factor -2/11*u**2 + 0 + 2/11*u**4 + 2/11*u**5 - a*u**3 + 0*u.
2*u**2*(u - 1)*(u + 1)**2/11
Let l(q) be the first derivative of q**4/12 - 157*q**3/18 + 157*q**2/2 - 72*q - 8224. Factor l(o).
(o - 72)*(o - 6)*(2*o - 1)/6
Suppose -4 = -x - a, -12*x - 7 = -13*x + 2*a. Find p, given that -55*p**4 + 20*p**5 - 24*p - 1686*p**2 + 3361*p**2 + x*p**3 - p - 1610*p**2 - 10 = 0.
-1, -1/4, 1, 2
Let k(g) be the first derivative of 5*g**3/3 + 14395*g**2 + 41443205*g - 120. Factor k(a).
5*(a + 2879)**2
Let r(v) = -v**3 - v**2 - v - 1. Let x(l) = 2*l**5 - 4*l**4 - 47*l**3 + 95*l**2 + 359*l - 377. Let i(w) = 14*r(w) + 2*x(w). Solve i(u) = 0.
-4, -3, 1, 4
Solve 405*n + 423/2*n**2 + 3/4*n**4 - 1458 - 105/4*n**3 = 0.
-3, 2, 18
Factor -3/7*b**2 + 0 + 6/7*b**3 + 0*b - 3/7*b**4.
-3*b**2*(b - 1)**2/7
Let n = 143 + -140. Let m(k) = -2*k**2 + 17. Let a(t) = -3*t**2 + 27. Let h(b) = n*a(b) - 5*m(b). Factor h(i).
(i - 2)*(i + 2)
Suppose 4*d + 4*h = 4, 2*d + 8*h = 4*h. Factor 19*m + 21*m + 12*m**d - 19*m + 10 + m**3.
(m + 1)**2*(m + 10)
Factor -44/5*a - 1/5*a**4 - 2*a**3 - 33/5*a**2 - 4.
-(a + 1)*(a + 2)**2*(a + 5)/5
Let q = -5/222 - -3017/888. Let h(z) be the first derivative of 3/8*z**3 - 27/16*z**2 - 1/32*z**4 + q*z + 1. Factor h(b).
-(b - 3)**3/8
Let z = 101/40 + -5/2. Let b(x) be the second derivative of 0*x**2 + 0 + 1/4*x**3 - z*x**6 + 0*x**5 + 3/16*x**4 + 10*x. Factor b(i).
-3*i*(i - 2)*(i + 1)**2/4
Let q be (80/(-75))/(-8) + (-129)/(-45). Factor 64*r + 2*r**2 - 36*r - 8*r**q + 50*r**2.
-4*r*(r - 7)*(2*r + 1)
Let p = 405 + -300. Factor -274*n**2 + 30*n + 134*n**2 + p*n**2.
-5*n*(7*n - 6)
Let q(b) = -4*b**2 - 370*b - 17300. Let k(j) = j**2 - 5*j - 48. Let z be k(-5). Let h(l) = -l**2 + l - 1. Let x(v) = z*q(v) - 4*h(v). Solve x(a) = 0 for a.
-93
Let d(x) be the third derivative of x**7/1050 + 2*x**6/75 + 83*x**5/300 + 19*x**4/15 + 14*x**3/5 + 2095*x**2. Determi