g be (-10)/4*((-96)/(-45) - 4). Solve k + 2/3*s**4 - g*s**3 + 4*s**2 + 0*s = 0 for s.
0, 1, 6
Let v(x) = 27*x**3 + 6*x**2 - 56*x + 99. Let w(b) = -26*b**3 - b**2 - b. Let k(c) = 2*v(c) + 2*w(c). Factor k(g).
2*(g - 3)**2*(g + 11)
Let r(v) be the first derivative of -3*v**4/16 - 87*v**3/4 - 5805*v**2/8 - 5547*v/4 + 5787. Let r(z) = 0. What is z?
-43, -1
Let b(i) = i**4 + 362*i**3 + 4008*i**2 + 14965*i + 18241. Let o(v) = -90*v**3 - 1002*v**2 - 3741*v - 4560. Let h(y) = 3*b(y) + 11*o(y). Let h(w) = 0. What is w?
-13, -3
Let u(q) be the first derivative of 27075*q**3/8 + 285*q**2/8 + q/8 - 3892. Solve u(g) = 0.
-1/285
Let s(w) be the second derivative of -2/45*w**6 + 4/9*w**3 - 89*w + 0*w**2 + 1/21*w**7 + 4/9*w**4 - 13/30*w**5 + 1. Let s(r) = 0. Calculate r.
-2, -1/3, 0, 1, 2
Let o(p) be the first derivative of p**5/150 + p**4/12 - 12*p**3/5 + 34*p**2 + 308. Let q(u) be the second derivative of o(u). What is y in q(y) = 0?
-9, 4
Let c(g) be the third derivative of 1/6*g**5 + 0*g - 149*g**2 + 0*g**3 + 0*g**4 + 0 - 1/24*g**6. Factor c(s).
-5*s**2*(s - 2)
Let a be (-4)/1*(8430/(-150) + 56). Solve -a*g**4 - 144/5 - 268/5*g**2 - 348/5*g - 68/5*g**3 = 0.
-12, -3, -1
Let a = 51121 - 51116. Solve 2/3*d**2 + 2/9*d**a + 0 - 2/3*d**4 + 2/9*d**3 - 4/9*d = 0.
-1, 0, 1, 2
Factor 14580*x - 37 + 200 - 2657205*x**2 - 183.
-5*(729*x - 2)**2
Let k = -278 - -272. Let n be (-4 - (-39)/6)*k/(-10). What is v in 6 + 9/2*v**4 - 3/2*v**3 + 0*v - 21/2*v**2 + n*v**5 = 0?
-2, -1, 1
Let l be -1*(1 + -2)*(-1 + 3). Factor -28 - 9*z - 8*z**2 - 53*z + l*z.
-4*(z + 7)*(2*z + 1)
Let r(q) = 22*q - 1714. Let s be r(78). Determine h, given that -62/7*h**3 - 8/7 + 22/7*h**5 - 64/7*h - 122/7*h**s + 26/7*h**4 = 0.
-1, -2/11, 2
Let r(n) be the first derivative of n**3/4 - 1092*n**2 + 1589952*n - 658. Factor r(x).
3*(x - 1456)**2/4
Let o(m) be the second derivative of 0*m**2 + 0*m**3 - 3/50*m**6 - 1/20*m**4 - 3/25*m**5 - 156*m + 0. Factor o(t).
-3*t**2*(t + 1)*(3*t + 1)/5
Let f be ((-61)/549)/((5 + -4)*3/(-27)*3). Determine w, given that 38/3 - f*w**2 + 17/3*w = 0.
-2, 19
Let y be (13/(624/6))/((-22)/12 + 2). Factor -y*p**2 + 21/4*p - 9/2.
-3*(p - 6)*(p - 1)/4
Let y = -52220/3 - -17407. Factor 61/3*s**3 - 60*s**2 + y*s**5 + 0 + 100/3*s + 6*s**4.
s*(s - 1)**2*(s + 10)**2/3
Let i(z) be the third derivative of -z**9/11520 - 11*z**8/20160 - z**7/5040 + 11*z**5/12 - 2*z**2. Let t(d) be the third derivative of i(d). Factor t(p).
-p*(p + 2)*(21*p + 2)/4
Factor 3470 - 69*x - 6671 + 3*x**2 + 3597.
3*(x - 12)*(x - 11)
Let l be (3 - 6)/15 + 1520/(-50). Let s = 31 + l. Solve 0*x + 0 + s*x**2 = 0.
0
Let l(o) be the first derivative of 1/14*o**4 + 17/7*o**2 - 40 - 20/7*o - 16/21*o**3. Factor l(x).
2*(x - 5)*(x - 2)*(x - 1)/7
Let s(g) be the first derivative of 65/3*g**3 - 15/2*g**4 + 20*g - 30*g**2 + 67 + g**5. Determine a, given that s(a) = 0.
1, 2
Suppose -3*u = 3*p - 6, 0 = -3*u + 3*p + 8 + 28. Solve -u*c**3 - 324*c**2 + 279*c**2 + 9 + 24*c + 19*c**3 = 0 for c.
-1/4, 1, 3
Let y be (-2 + 6)*(-22020)/210. Let t = y + 420. Let t + 6/7*l + 2/7*l**2 = 0. What is l?
-2, -1
Let b(r) be the third derivative of -r**5/300 + 71*r**4/10 + 853*r**3/30 - 40*r**2 + r - 7. Factor b(d).
-(d - 853)*(d + 1)/5
Let 133*s**2 + 600*s - 143 + 13*s**4 - 10*s**4 + 73*s**2 + 64*s**2 + 518 + 48*s**3 = 0. Calculate s.
-5, -1
Let i(f) be the third derivative of 5*f**3 + 5*f**2 + 1/4*f**5 - 95/24*f**4 + 6*f + 0. What is z in i(z) = 0?
1/3, 6
Factor 16/5*t**3 + 0 + 148*t**2 + 184/5*t.
4*t*(t + 46)*(4*t + 1)/5
Let j(y) = y**4 + y**3 + y**2 + y. Let i(m) = -24*m**4 - 375*m**3 - 720*m**2 - 369*m. Let r(s) = -i(s) - 21*j(s). Find v such that r(v) = 0.
-116, -1, 0
Let b(z) = z**2 + 2*z + 3. Suppose 29*k = 33*k + 8. Let f be b(k). Factor -2*a**f + 85*a**4 + 2*a**2 - 87*a**4 + 2*a**2.
-2*a**2*(a - 1)*(a + 2)
Find p, given that -2*p**3 - p**3 + 1890*p**2 - 3161*p + 0*p**3 + 1644 - 130*p - 240*p**2 = 0.
1, 548
Suppose 5*t - 2*o - 2*o = -23, 5*o - 7 = -t. Let u be t - (-4 + -8 + 5). Factor 0 + 4/5*n + 0*n**3 - 6/5*n**2 + 2/5*n**u.
2*n*(n - 1)**2*(n + 2)/5
Let a(y) be the second derivative of 175/4*y**4 + 0 + 29/6*y**6 + 93/4*y**5 + 235/6*y**3 + 15*y**2 + 10*y. Let a(l) = 0. What is l?
-1, -6/29
Solve -4252/13*c + 2259938/13 + 2/13*c**2 = 0.
1063
Let t(v) be the first derivative of -3/8*v**4 - 17/4*v**2 - 2*v - 8/3*v**3 + 105. Determine q, given that t(q) = 0.
-4, -1, -1/3
Determine o so that -208/11*o**2 - 298/11*o**3 - 8/11*o - 98/11*o**4 + 0 = 0.
-2, -1, -2/49, 0
Factor -282*z - 3*z**3 - 280*z + 527*z + 3*z**4 - 103*z**2 + 10*z**3.
z*(z - 5)*(z + 7)*(3*z + 1)
Let g(y) be the second derivative of -2*y**5/5 + 295*y**4 - 878*y**3/3 - 2652*y**2 + 930*y. Factor g(i).
-4*(i - 442)*(i + 1)*(2*i - 3)
Let l(y) = 4*y**2 - 14*y - 19. Let q be l(-2). Factor -q*f**4 + 22*f**3 - 8*f**2 + 33*f**2 - 2*f**3 - 20*f.
-5*f*(f - 1)*(f + 1)*(5*f - 4)
Let d = -67 + 70. Suppose -4*y = -3*b + 20, 0 = b + y - d*y - 6. Solve 2*n**2 - b + 3*n**3 + 6*n**3 - 15*n**3 - 8*n + 8*n**3 = 0 for n.
-2, -1, 2
Suppose -3*m = 7*d - 2*d - 130, -2*m = 3*d - 88. Determine a, given that -5469 - a**3 - 572*a + 2597 + m*a**2 + 1520 = 0.
-2, 26
Let y = -54 - -56. Let k = -3/196 - -451/196. Factor 2/7*h + k*h**3 + 0 + h**4 + 11/7*h**y.
h*(h + 1)**2*(7*h + 2)/7
Let a = 885 - 533. Suppose -360*r = -a*r - 24. Determine i, given that -12*i**2 + 22/3*i**r + 16/3 - 4/3*i**4 + 8/3*i = 0.
-1/2, 2
What is u in -11*u - 62*u**3 - 2*u**4 - 277*u**3 - 86*u**2 + 369*u**3 + 88 - 19*u = 0?
-1, 1, 4, 11
Let h(z) be the third derivative of z**5/180 + 263*z**4/12 + 69169*z**3/2 + 2*z**2 + 5298. Solve h(t) = 0 for t.
-789
Let l(d) be the first derivative of 11/3*d**3 + 13 + 3*d + 17*d**2. Let l(m) = 0. Calculate m.
-3, -1/11
Let s(t) = 5*t**2 + 368*t + 108. Let u(n) = 5*n**2 + 372*n + 116. Let c(f) = -5*s(f) + 6*u(f). Solve c(o) = 0 for o.
-78, -2/5
Let b be ((-35)/15)/(6*(-2)/3087). Let y = b + -600. Factor -1/4*l**2 + 1/4 + 1/4*l**3 - y*l.
(l - 1)**2*(l + 1)/4
Factor 248/5 - 247/5*y - 1/5*y**2.
-(y - 1)*(y + 248)/5
Let f(n) be the second derivative of n**6/15 + 43*n**5/35 + 82*n**4/21 - 632*n**3/21 - 192*n**2/7 - 2*n + 736. What is l in f(l) = 0?
-8, -6, -2/7, 2
Find m, given that -3224*m**2 - 63789 + 576*m**3 + 256*m**4 + 106*m**5 + 3716*m + 62469 - 110*m**5 = 0.
-5, 1, 66
Suppose -724 = -73*w - 286. Let q(c) be the second derivative of 0 + 1/6*c**4 - 1/3*c**3 - w*c**2 - 14*c. Factor q(o).
2*(o - 3)*(o + 2)
Let c(k) be the first derivative of 2*k**3/33 - 1362*k**2/11 - 10440. Factor c(m).
2*m*(m - 1362)/11
Suppose -3*d + 4*y = -5608, 2*d + 3*y = 7*d - 9343. Let a = d + -1863. Determine l, given that -38*l - 361/2*l**3 - 127*l**2 - 112*l**4 - 49/2*l**a - 4 = 0.
-2, -1, -2/7
Suppose -4*m + 4*u + 16 = 0, 49*m + 2*u = 52*m - 8. Factor m + 0*o + 9/4*o**4 + 3/4*o**2 - 3/4*o**5 - 9/4*o**3.
-3*o**2*(o - 1)**3/4
Find d such that -48*d + 12*d**3 - 56/3*d**2 + 256/3 - 2/3*d**4 = 0.
-2, 2, 16
Suppose 6*c - 12*c = 270 - 300. Let t(l) be the first derivative of 2/5*l**3 - 11/10*l**4 + 38 + 0*l - 8/25*l**c + 0*l**2. Factor t(m).
-2*m**2*(m + 3)*(4*m - 1)/5
Let w be 29/(348/120)*1*(-3)/(-6). Let v(x) be the second derivative of -1/21*x**3 + 14*x + 1/70*x**w + 1/7*x**2 + 0 - 1/42*x**4. Factor v(y).
2*(y - 1)**2*(y + 1)/7
Let z(k) = 2*k**4 - k + 3. Let r(d) = 5*d**4 + 210*d**3 - 205*d**2 - 5*d + 15. Let s(p) = r(p) - 5*z(p). Solve s(j) = 0.
0, 1, 41
Let i be (-2)/2 - (4 - 3)*-5. Let h(n) be the first derivative of i + 2/7*n**2 + 12/7*n - 4/3*n**3 - 5/7*n**4. Determine o, given that h(o) = 0.
-1, 3/5
Let x(q) be the third derivative of 0*q - 1/630*q**7 + 0 - 98*q**2 - 1/24*q**4 + 1/180*q**5 + 0*q**3 + 1/120*q**6. Factor x(h).
-h*(h - 3)*(h - 1)*(h + 1)/3
Let p = -215 - -347. Let y = -130 + p. Find g such that 4/3*g**y + 8*g + 0 = 0.
-6, 0
Let m be (-6620)/(-2648)*(3/(-195)*-154 + -2). Find c such that 2/13*c**2 + 10/13*c + m = 0.
-3, -2
Let i(l) be the first derivative of -l**6/6 - 9*l**5/5 - 11*l**4/4 + 7*l**3 + 195. Determine u, given that i(u) = 0.
-7, -3, 0, 1
Let s be 5 - ((-84)/36 + 3 - (-8)/6). Let f(x) be the third derivative of -1/156*x**4 + 2/195*x**5 - 2/13*x**s - 1/780*x**6 + 0 + 0*x + 32*x**2. Factor f(m).
-2*(m - 3)*(m - 2)*(m + 1)/13
Factor 5300 - 39*t**2 - 5444 - 58*t - t**3 + 9*t - 2*t**3 - 89*t.
-3*