*(p + 6)
Suppose -10504/5*s**2 + 2506*s + 2/5*s**5 - 980 + 604*s**3 - 148/5*s**4 = 0. What is s?
1, 2, 35
Let b(v) be the third derivative of 0 + 0*v - 29/24*v**4 - 1/60*v**5 + 125*v**2 - 14/3*v**3. Factor b(l).
-(l + 1)*(l + 28)
Determine h so that 0 + 13/3*h**2 + 6*h**3 - 31/3*h = 0.
-31/18, 0, 1
Factor -230/3*m**2 - 1/3*m**3 - 904/3 - 908/3*m.
-(m + 2)**2*(m + 226)/3
Let b(g) be the third derivative of -5*g**8/168 - 13*g**7/42 - 9*g**6/8 - 23*g**5/12 - 35*g**4/24 - 187*g**2 - 1. Factor b(f).
-5*f*(f + 1)**3*(2*f + 7)
Let r = -166 - -170. What is q in q**5 - 2*q**3 + 34 - 8*q**2 + q + 4*q**r - 12 - 18 = 0?
-4, -1, 1
Determine g so that -164/9*g + 18*g**3 + 0 + 2/9*g**5 - 86/9*g**4 + 86/9*g**2 = 0.
-1, 0, 1, 2, 41
Let l(g) be the third derivative of 0*g + 2 + 19/27*g**3 - 1/270*g**5 - 1/6*g**4 + 10*g**2. Factor l(t).
-2*(t - 1)*(t + 19)/9
Factor -1400 + 1/2*o**4 - 84*o**2 + 880*o - 4*o**3.
(o - 10)**2*(o - 2)*(o + 14)/2
What is s in -413*s**2 + 652/3*s - 25/3*s**4 + 240*s**3 - 36 = 0?
2/5, 1, 27
Let x(g) be the third derivative of -g**6/30 + g**5 - 47*g**4/6 + 22*g**3 + 4357*g**2. Factor x(o).
-4*(o - 11)*(o - 3)*(o - 1)
Let n(l) be the third derivative of 2*l**7/21 - 47*l**6/30 + 161*l**5/15 - 79*l**4/2 + 84*l**3 + 9640*l**2. Factor n(a).
4*(a - 3)**2*(a - 2)*(5*a - 7)
Suppose 12665 - 362*r - 3*r**2 - 14464 + 4*r**2 + 34560 = 0. Calculate r.
181
Let l(f) be the first derivative of 1/12*f**3 - 11*f**2 + 0*f + 1/120*f**5 - 1/24*f**4 + 22. Let i(r) be the second derivative of l(r). Factor i(x).
(x - 1)**2/2
Let q(w) = -14*w**3 - 1409*w**2 - 2927*w - 30. Let i(l) = 10*l**3 + 1057*l**2 + 2195*l + 22. Let b(m) = -15*i(m) - 11*q(m). Factor b(f).
4*f*(f - 91)*(f + 2)
Let g(u) be the third derivative of 5/3*u**4 + 0 - 25/336*u**8 + 0*u**3 - 1/4*u**6 + 17/42*u**7 - 5/3*u**5 - 12*u**2 + 6*u. Let g(f) = 0. Calculate f.
-1, 0, 2/5, 2
Let m be (-38)/(-8) + 3*2/(-8). Suppose -2*c = u - 8, 2*u + 2*u = m*c - 28. Let 5*b**4 + 16*b**2 + 686*b**3 + 15*b**4 + 100*b**c - 750*b**3 = 0. What is b?
-1, 0, 2/5
Suppose 89*a**2 - 10*a**2 + 198*a**4 + 2*a**3 - 277*a**2 - 2*a**5 = 0. What is a?
-1, 0, 1, 99
Let q(p) = -18*p**2 + 54*p. Let m(c) = 46*c**2 - 110*c. Let r(z) = -4*m(z) - 10*q(z). Determine o so that r(o) = 0.
-25, 0
Let t = -51/82 - -809/246. Solve -20/3*k**2 - t - 44/3*k = 0 for k.
-2, -1/5
Factor -3489*k - 12*k**3 - 704*k**2 + 1042*k - 896 + 639*k.
-4*(k + 2)*(k + 56)*(3*k + 2)
Let g be 1*-7 - (-2448)/336. Let h = -535/11 + 4405/77. Factor -g*f**4 + 64/7*f + 16/7*f**3 + 22/7 + h*f**2.
-2*(f - 11)*(f + 1)**3/7
Suppose 5 = 8*z - 9*z. Let s(f) = -f**3 - 6*f**2 - 6*f - 1. Let d be s(z). Let 10*v**3 + 4*v**2 + 8*v**4 + 7*v**d - 7*v**4 + 2*v**5 + 0*v**3 = 0. What is v?
-2, -1, 0
Suppose 14*q = 16*q - 6. Find h, given that h**q - 4*h**3 + 19*h**4 + 10*h**4 - 23*h**4 = 0.
0, 1/2
Let p(t) be the third derivative of -1/75*t**5 - 2/3*t**3 + 1/5*t**4 + 0*t + 158*t**2 + 0. Factor p(a).
-4*(a - 5)*(a - 1)/5
Let u(h) be the third derivative of h**6/30 - 7*h**5/30 - 31*h**4/96 - h**3/6 + 2120*h**2. Factor u(j).
(j - 4)*(4*j + 1)**2/4
Let c be (-8)/(-220)*11*2*74. Let o = c - 294/5. Let -2/5*s**4 + 4/5*s**2 + 0*s - o + 0*s**3 = 0. What is s?
-1, 1
Suppose -4 + 51/5*z - 31/5*z**2 = 0. Calculate z.
20/31, 1
Suppose l = -2*k + 345, -54 = 2*k + 3*l - 409. Let j = 175 - k. What is o in -25/3*o**j - 10*o**4 + 4*o**2 - 4/3*o + 0 + 11/3*o**3 = 0?
-1, 0, 2/5
Suppose -2*g - 2*g = 4*h - 4, -4*h = -g - 29. Suppose -7*r + 12844 - 3835 = 0. Find f such that h*f - r*f**2 + 1284*f**2 - 18 + 9*f = 0.
2, 3
Let b(f) be the third derivative of f**8/5040 + 5*f**7/252 - 13*f**6/90 - 5*f**5 - 20*f**2 + 2*f. Let h(i) be the third derivative of b(i). Factor h(c).
4*(c - 1)*(c + 26)
Suppose 0 = 5*y - 7*c + 8*c - 2709, -2*y - 4*c = -1080. Let r be (-2)/(-6) + y/30. Factor -r*m**3 - 108/5*m**2 - 8/5 - 28/5*m**4 - 52/5*m.
-4*(m + 1)**3*(7*m + 2)/5
Determine q so that -135/7*q**2 + 0*q + 0 - 6*q**3 - 3/7*q**4 = 0.
-9, -5, 0
Let n(k) = 925*k**2 - 7685*k + 15300. Let q(v) = 101*v**2 - 854*v + 1700. Let g(l) = 6*n(l) - 55*q(l). Factor g(h).
-5*(h - 170)*(h - 2)
Let h(j) = 2*j + 10. Let s be h(5). Factor 3 + 35*y**4 + 7 - 10 + s*y**2 + 80*y**3.
5*y**2*(y + 2)*(7*y + 2)
Let s(z) be the third derivative of z**5/120 - 31*z**4/48 - 17*z**3/2 + 1857*z**2. Suppose s(k) = 0. What is k?
-3, 34
Let z(d) = 2*d**2 - 307*d + 5457. Let f be z(133). Factor -2/7*x**f - 4/7*x**3 + 0*x**2 + 2/7 + 4/7*x.
-2*(x - 1)*(x + 1)**3/7
Let f(u) be the first derivative of u**3 + 933*u**2 + 290163*u - 844. Factor f(s).
3*(s + 311)**2
Factor -869 - 32*v**2 + 194 - 8*v**3 + 119*v**2 + 11*v**3 + 585*v.
3*(v - 1)*(v + 15)**2
Let l(y) = -y**2 - 54*y + 297. Let v be l(-59). Find f such that 2/3*f**3 + 14/3*f**v + 4*f + 0 = 0.
-6, -1, 0
Let a(c) = 415 - 20*c**2 + 426 - 3*c**3 + 7*c - 813. Let n(d) = -6*d**3 - 39*d**2 + 15*d + 57. Let v(t) = 9*a(t) - 4*n(t). Suppose v(i) = 0. What is i?
-8, -1, 1
Suppose -2/5*h**4 - 32*h**2 + 72*h + 6*h**3 - 288/5 = 0. Calculate h.
2, 3, 4, 6
Let u(i) be the second derivative of -i**7/294 + i**6/35 + 13*i**5/35 + i**4/2 - 33*i**3/14 - 6978*i. Solve u(g) = 0.
-3, 0, 1, 11
Suppose -6*z = -1665 + 1647. Let a(c) be the first derivative of c - 3/5*c**2 - 18 + 1/15*c**z. Factor a(u).
(u - 5)*(u - 1)/5
Let x be (-805)/(-49) + 8*(-3)/(-42). Let v be (-5)/(-3)*(-3 + 6). Factor v*m - 4*m + 4*m**2 + 9*m - x + 5 - 2*m**3.
-2*(m - 3)*(m - 1)*(m + 2)
Suppose -r + 5 = 2*o, 2*r + r - 12 = -5*o. What is p in -67*p**3 - o*p + 66*p**3 - 3*p**2 + 3*p**4 + 6 - 6*p**2 - 4 = 0?
-1, 1/3, 2
Let z(k) be the third derivative of -1/240*k**6 + 0*k**3 + 0 + 1/48*k**4 - 1/240*k**5 + 26*k**2 + 1/840*k**7 + 0*k. Find i such that z(i) = 0.
-1, 0, 1, 2
Suppose 96/5*m**2 - 838/5*m - 936/5 - 2/5*m**3 = 0. Calculate m.
-1, 13, 36
Let o(r) be the first derivative of -5*r**4/4 + 10*r**3 + 10*r**2 - 120*r - 4300. Find f such that o(f) = 0.
-2, 2, 6
Factor -12530018/9*q**2 - 10012/9*q - 2/9.
-2*(2503*q + 1)**2/9
Let m(q) be the third derivative of 0*q - 1/40*q**6 - 1587/8*q**4 - 12167/2*q**3 - 69/20*q**5 - 124*q**2 + 0. Factor m(d).
-3*(d + 23)**3
Suppose 4*i + 73 = -3*c, -2*c + 5*i + 0*i - 64 = 0. Let a = 124 - c. Solve 255*m**3 - a*m**2 + 105*m**3 + 12*m**5 - 112*m**4 + 108*m - 281*m**2 = 0 for m.
0, 1/3, 3
Suppose 2*a = 3*f + 17, -27*f + 22*f - 15 = 0. Let c be (-171)/(-36) + 0 - a. Find k, given that -c*k**2 - 1/4*k + 0 - 3/4*k**3 - 1/4*k**4 = 0.
-1, 0
Let p = 24301/3 + -8099. Let z(h) be the first derivative of -2/9*h**3 - h**2 - p*h - 42. Determine j, given that z(j) = 0.
-2, -1
Factor -58 - 57*a + 131*a**2 - 142*a**2 + 13 + 3*a**3 - 2*a**3.
(a - 15)*(a + 1)*(a + 3)
Let m(a) be the second derivative of a**3/6 + 27*a**2/2 - 9*a + 2. Let j be m(-25). Factor -8*y - 2 + 11/2*y**j + 9/2*y**3.
(y - 1)*(y + 2)*(9*y + 2)/2
Let 29*k**5 + 13*k**2 + 6*k**5 - 27*k**2 + 190*k**4 - 74*k**2 + 160*k**3 - 72*k**2 = 0. Calculate k.
-4, -2, 0, 4/7
Let x be (-5)/((6 + (-124)/24)*-3). Let d = -2150/3 + 718. Determine f so that -4/3 + 8/3*f - d*f**x = 0.
1
Suppose 5*s + 4 = 3*r - 4*r, r - 3*s - 4 = 0. Let w be (-1)/(-8) + 99/264. Factor -w*y**3 - 5/2*y + 2*y**2 + r.
-(y - 2)*(y - 1)**2/2
Let r(d) be the first derivative of 4*d**3/3 - 18*d**2 - 144*d - 491. Factor r(o).
4*(o - 12)*(o + 3)
Solve 17/6*p**2 + 133/6*p + 115/6 - 1/6*p**3 = 0 for p.
-5, -1, 23
Find t, given that 44*t**3 + 23*t**3 - 139*t**3 - 4*t**4 + 2 - 2 = 0.
-18, 0
Let -40/9*z + 2*z**3 + 2/9*z**4 + 0 - 8/3*z**2 = 0. What is z?
-10, -1, 0, 2
Let m(f) = -f**3 - 9*f**2 - 16*f - 144. Let l be m(-9). Suppose t + 22 = 5*r + 15, -2*t + 6 = l. Suppose 0*o + 0 + 4/3*o**3 - 4/3*o**r = 0. Calculate o.
0, 1
Let p be 129/(-2)*35/2730. Let z = -1/13 - p. Factor 0*x + 0 + z*x**4 - 1/4*x**3 + 1/4*x**5 - 3/4*x**2.
x**2*(x - 1)*(x + 1)*(x + 3)/4
Suppose 40 = 7*o - 4*v, 3*v = 7*v + 12. Let h(t) be the third derivative of 0 - 1/40*t**6 + 0*t**3 + 23*t**2 - 1/2*t**o + 0*t - 1/4*t**5. What is d in h(d) = 0?
-4, -1, 0
Suppose -46 - 57 - 356 = -27*d. Let w(u) be the first derivative of -d + 4/15*u**3 + 8/5*u - 6/5*u**2. Factor w(t).
4*(t - 2)*(t - 1)/5
Suppose -45*f - 48*f = 33*f - 10*f - 348. Let 25/4*s**2 - 5/2*s**f + 15/2*s + 0 - 5/4*s**4 = 0. What is s?
-3, -1, 0, 2
Suppose 5718*g = 4558*g + 2320. Factor -18/5*d + 3*