2/5*l**2 = 0. What is l?
-14, 80
Let g(n) be the third derivative of -1/24*n**6 + 1/3*n**5 + 0*n**3 + 0 - 65*n**2 + 25/24*n**4 + 0*n. Solve g(u) = 0.
-1, 0, 5
Let v be (-7 + 1 - 6/2) + (-7850)/(-850). Factor v + 2/17*c - 2/17*c**2.
-2*(c - 2)*(c + 1)/17
Let i be 4/6 + (-4)/12. Suppose 0 = -70*n - 1128*n + 10782. Factor -n*g**2 + i*g**3 - 243 + 81*g.
(g - 9)**3/3
Let q be 5 + -1506*(-10)/(-3100). Let z = q + 2547/620. Solve -7/4*f - 5/4*f**4 + z*f**3 + 3/4*f**2 - 1/2 - 3/2*f**5 = 0 for f.
-2, -1/2, -1/3, 1
Let h(l) be the third derivative of -l**7/945 - 247*l**6/540 - 367*l**5/135 - 122*l**4/27 + 31*l**2 - 61. Let h(z) = 0. What is z?
-244, -2, -1, 0
Let f be 62/44*-2 + 3 + 660/3025. Find r such that -2*r**2 - 21/5*r - f = 0.
-2, -1/10
Let z be (48/144)/((-1)/(-6)). Let v be (-4 - 0)/(2 + -16). Factor -50/7 - v*f**z - 20/7*f.
-2*(f + 5)**2/7
Find a, given that -1/6*a**5 - 7/6*a**4 + 6 - 34/3*a + 19/6*a**2 + 7/2*a**3 = 0.
-9, -2, 1, 2
Let z be 4/10 - (-32)/20. Let o(j) = 9*j**3 - 2*j**2 + 3*j - 4. Let d be o(z). Let 17*p**4 - 35*p**4 - 74*p**2 - d*p**3 - 4 - 36*p + 8*p - 2*p = 0. What is p?
-2, -1, -1/3
Let g(h) = h**3 + 5*h**2 + 7*h + 5. Let z be g(-3). Factor -1080*x**5 - 38*x + 545*x**5 + 540*x**5 + 65*x**3 - 5*x**3 - 20*x**z + 35*x**4 - 42*x.
5*x*(x - 1)*(x + 2)**2*(x + 4)
Let p(j) = -7*j**2 + 4*j - 8. Let q(n) = -20*n**2 + 12*n - 23. Let v(b) = -17*p(b) + 6*q(b). Let k be v(1). Factor 2*f**2 + k + 6 - 15 - 4*f + 2.
2*(f - 3)*(f + 1)
Suppose 4*c + 4*a = 8*a + 28, -2*c - 5*a - 21 = 0. Find f, given that -c*f**4 - 6*f**2 + 10*f + 5*f - 10*f**3 + 3*f = 0.
-3, 0, 1
Let p(v) = -35*v**3 - 10*v**2 + 115*v + 95. Let o(m) = m**4 + 17*m**3 + 2*m**2 - 58*m - 46. Let d(g) = 5*o(g) + 2*p(g). Factor d(q).
5*(q - 2)*(q + 1)*(q + 2)**2
Let x(i) = -2*i**3 + 1687*i**2 + 93275*i + 179771. Let o(s) = 20*s**3 - 17716*s**2 - 979388*s - 1887596. Let m(d) = -5*o(d) - 52*x(d). Factor m(z).
4*(z + 2)*(z + 106)**2
Let x(a) be the first derivative of a**5/5 - 2*a**3/3 - 67*a - 67. Let o(l) be the first derivative of x(l). Factor o(p).
4*p*(p - 1)*(p + 1)
Let v be (-4)/(3 - -17) - (2236/60)/(-13). Let y be (21/(-14))/(1/(1 + -3)). Factor 6*p**2 - 9 - v*p**y + 1/3*p**4 + 0*p.
(p - 3)**3*(p + 1)/3
Solve 2*t**5 + 171*t**2 - 422*t**2 + 4*t**4 - 72*t - 118*t**3 + 107*t**2 + 48*t**3 = 0 for t.
-6, -1, 0, 6
Let y(l) = l**4 - 3*l**2. Let p(u) = -20*u**4 - 40*u**3 + 192*u**2 - 152*u + 52. Let k(f) = p(f) + 16*y(f). Factor k(c).
-4*(c - 1)**3*(c + 13)
Let w = 58 - 38. Suppose 5*g**2 + 2*g + w - 8*g + 26*g = 0. Calculate g.
-2
Let v = -79 - -84. Suppose v*q - 47 = 4*j, -4*q + 37 = -2*j - j. Let -4*r**3 + q*r**3 + 2*r**3 - 6*r**3 = 0. Calculate r.
0
Let d(s) be the third derivative of -s**7/1575 + 7*s**6/900 + 4*s**5/45 + 11*s**4/45 - 15*s**2 - 5. Factor d(j).
-2*j*(j - 11)*(j + 2)**2/15
Let -2092*s**2 + 8000 + 5*s**5 + 320*s**3 + 95*s**4 + 72*s**2 - 351843*s + 345443*s = 0. Calculate s.
-10, -4, 1, 4
Let d(y) be the second derivative of -y**5/120 - 11*y**4/36 - 10*y**3/9 + 101*y - 6. Factor d(m).
-m*(m + 2)*(m + 20)/6
Let a be -87 - -90 - (0 + -12). Suppose 0 = -3*n - 5*f + a, 3*f = -n - 4 + 9. Find c, given that 0 + 0*c**2 + 0*c - 2/7*c**n - 2/7*c**3 - 4/7*c**4 = 0.
-1, 0
Let x(p) be the first derivative of 95*p**4/8 - 421*p**3/2 + 90*p**2 + 26*p + 2170. Suppose x(k) = 0. What is k?
-2/19, 2/5, 13
Let w be (-191)/1910 - 21/(-35). Factor -i - w*i**2 + 3/2.
-(i - 1)*(i + 3)/2
Let w(y) = -3*y**3 - 2*y**2 + 2. Let k(t) = -7*t**3 + 972*t**2 - 380*t - 12. Let c(m) = k(m) + 6*w(m). Let c(x) = 0. Calculate x.
0, 2/5, 38
Let s(d) be the first derivative of -2*d**3/63 + 22*d**2/3 + 310*d/21 + 1707. Factor s(l).
-2*(l - 155)*(l + 1)/21
Factor 686*g**5 + 4320*g - 2800*g**3 - 49 - 980*g**4 + 1440*g**2 + 1242 + 535.
2*(g - 2)**2*(7*g + 6)**3
Let y = -816511 - -1633023/2. Factor -y - 3/4*w - 1/4*w**2.
-(w + 1)*(w + 2)/4
Let s(n) be the first derivative of n**4/4 + 24*n**3 + 137*n**2/2 - 210*n + 4201. Factor s(m).
(m - 1)*(m + 3)*(m + 70)
Suppose 4*t - 42 = -2*d, 3*d + 50 - 149 = -15*t. Factor 0*j + 9/7*j**3 + 6/7*j**2 + 0 + 0*j**t - 3/7*j**5.
-3*j**2*(j - 2)*(j + 1)**2/7
Let z(b) = -b**3 - 4*b**2 + 76*b + 19. Let t be z(7). Let a be t - ((9 - 5) + 6). Factor 1/2*q + 1/8*q**a + 3/8.
(q + 1)*(q + 3)/8
Let p(c) = c**2 - 549*c + 68. Let w(f) = 2*f**2 - 1100*f + 153. Let t(o) = -9*p(o) + 4*w(o). Factor t(b).
-b*(b - 541)
Determine q so that -46/3*q - 116 + 2/3*q**2 = 0.
-6, 29
Let n = 17476 + -332026/19. Let -n*m + 2/19*m**5 + 12/19*m**4 - 12/19*m**2 + 0 + 16/19*m**3 = 0. Calculate m.
-3, -1, 0, 1
Let z(l) be the second derivative of 17*l + 1/6*l**5 - 5/6*l**4 + 0 - 13/6*l**3 + 0*l**2 - 1/72*l**6. Let o(j) be the second derivative of z(j). Factor o(n).
-5*(n - 2)**2
Let l(b) = 2*b**2 - 44*b + 46. Let q be l(21). Suppose -16*m + q*m = -48. Solve -4/7*p + 2/7 + 4/7*p**3 + 6/7*p**m - 8/7*p**2 = 0 for p.
-1, 1/3, 1
Let u(m) be the third derivative of -m**5/30 - 979*m**4/3 - 3833764*m**3/3 - 327*m**2 - 2*m + 2. Factor u(i).
-2*(i + 1958)**2
Let u(x) be the first derivative of 168/5*x**5 - 23*x**4 + 6*x**6 + 0*x - 108 + 40*x**2 - 48*x**3. Suppose u(t) = 0. What is t?
-5, -1, 0, 2/3
Let x(l) be the third derivative of l**5/12 - 235*l**4/8 + 1700*l**3/3 - 2*l**2 + l - 2986. Factor x(z).
5*(z - 136)*(z - 5)
Let r = -23697/14 + 11859/7. Factor r*u**2 + 9/2*u - 27.
3*(u - 3)*(u + 6)/2
Let r(s) = -65*s**2 + 15430*s + 45945. Let d(n) = -5*n**2 + 1187*n + 3534. Let q(i) = 155*d(i) - 12*r(i). Determine b so that q(b) = 0.
-3, 238
Suppose 40833*a = 2*p + 40834*a + 12, 150 = -4*p - 9*a. Find w, given that -176/7*w + 160/7*w**2 - 44/7*w**p - 8/7*w**4 + 4/7*w**5 + 64/7 = 0.
-4, 1, 2
Let y = -286 + 310. Factor 4*c**3 + 12 - 100*c - y*c**2 + 37 - 17 + 13 - 117.
4*(c - 9)*(c + 1)*(c + 2)
Let w(k) be the third derivative of k**8/20160 + k**7/7560 + k**4/6 + 3*k**3/2 + 63*k**2. Let p(a) be the second derivative of w(a). Factor p(t).
t**2*(t + 1)/3
Let j be 5 - (-1 + (-6 - -6)) - -52. Suppose 0 = 2*n + 54 - j. Factor 1/2*a - 1/6 + 1/6*a**3 - 1/2*a**n.
(a - 1)**3/6
Let z(m) be the third derivative of -675*m**7/14 + 136755*m**6/8 + 27387*m**5/2 + 9133*m**4/2 + 812*m**3 + m**2 - 1273*m + 2. Factor z(v).
-3*(v - 203)*(15*v + 2)**3
Suppose 66*a - 51*a - 30 = 0. Factor -5*q - 2*q + a*q**2 - 3*q + 5 + 7.
2*(q - 3)*(q - 2)
Let r(v) be the third derivative of -v**7/168 - v**6/9 - 5*v**5/6 - 10*v**4/3 - 7*v**3/3 - 4*v**2 + 8*v. Let i(u) be the first derivative of r(u). Factor i(q).
-5*(q + 2)**2*(q + 4)
Let v = 499497/5 + -99899. Factor v*t + 0 + 1/5*t**2.
t*(t + 2)/5
Factor -26/9*n**2 + 2/9*n**3 + 320/9 - 116/9*n.
2*(n - 16)*(n - 2)*(n + 5)/9
What is z in -35/11*z + 1/11*z**2 - 36/11 = 0?
-1, 36
Let k = 9469624 + -26581234146/2807. Let c = -3/401 + k. Find i, given that 1/7*i**2 - c*i**4 - 5/7*i**3 + 5/7*i + 0 = 0.
-5, -1, 0, 1
Suppose 3*s + 3*b + 153 = 0, 2*s - 3*s - 4*b - 48 = 0. Let x = s - -61. Factor -8 - 12*d - 2*d**2 + 11*d - x*d.
-2*(d + 1)*(d + 4)
Factor 6*m**4 - 510*m**2 - 78*m**3 - 2*m**4 + 39*m**2 + 11*m**2 + 22*m**3 - 400*m.
4*m*(m - 20)*(m + 1)*(m + 5)
Factor 33*v**2 - v**5 + 31*v**4 + 60919 - 65*v**3 - 60919 + 2*v**5.
v**2*(v - 1)**2*(v + 33)
Let c(i) be the second derivative of i**5/20 + 5*i**4/12 - 304*i**3/3 - 3456*i**2 + 3220*i + 2. Factor c(m).
(m - 27)*(m + 16)**2
Factor 2/17*h**2 - 378/17*h + 376/17.
2*(h - 188)*(h - 1)/17
Let g be (-58 + 41 - (2 + -6 + -3))/((-40)/15). Determine t so that -25/4*t**2 - g + 35/4*t + 5/4*t**3 = 0.
1, 3
Let z = -53 - -56. Factor -30*d**2 - 8*d**z + 34*d + 15*d**3 + d - 12*d**3.
-5*d*(d - 1)*(d + 7)
Let x(u) = 2*u**2 + 3*u - 29. Let v be x(8). Factor 125*g**3 - 375*g**3 + v*g**3 + 128*g**3.
g**3
Let p = -142 + 148. Factor -6*g**3 + p*g + 0*g**2 - 4 + 2*g**4 - 2*g + 2*g**2 + 2*g.
2*(g - 2)*(g - 1)**2*(g + 1)
Let n(z) be the third derivative of -z**5/90 - 59*z**4/18 - 259*z**3/3 + 5*z**2 - 131*z. Factor n(a).
-2*(a + 7)*(a + 111)/3
Let p(u) = 14*u**2 + 363*u + 1858. Let t be p(-7). What is j in -36/5 - 3/5*j**2 + 1/5*j**4 - 56/5*j + 18/5*j**t = 0?
-18, -1, 2
Suppose 4*n = -4*w + 24, -1018*w + 1037*w = 3*n + 70. Factor -111/5*g + 114/5 - 3/5*g**n.
-3*(g - 1)*(g + 38)/5
Let d(z) = -11*z**4 - 19*z**3 - z**2 + 36*z. Let q = 636 - 631. Let t(n) = 6*n**4 + 9*n**3 - 18*n. Let i(x) = q*