 + 53*u**4/12 + 49*u. Let b(x) be the third derivative of r(x). Factor b(d).
4*(d - 6)*(d - 1)*(d + 2)/7
Find z, given that 3799*z**4 - 23369*z**4 - 3210*z**4 - 320*z**2 - 1445*z**5 + 5420*z**3 = 0.
-16, 0, 2/17
Let u(c) be the first derivative of c**6/2 - 12*c**5/5 + 15*c**4/4 - 2*c**3 - 3917. Factor u(x).
3*x**2*(x - 2)*(x - 1)**2
Let d(l) = l**2. Let m(t) = t**2 + 15. Let f(a) = 3*d(a) - m(a). Let y be f(-3). Factor 3/2*c**y + 3/2*c**2 + 9/2 - 15/2*c.
3*(c - 1)**2*(c + 3)/2
Let w = -574 - -11487/20. Let q(g) be the third derivative of 14*g**2 - 3/5*g**6 - w*g**5 + 0 + 3/2*g**4 + 2*g**3 + 0*g - 9/70*g**7. What is h in q(h) = 0?
-2, -1, -1/3, 2/3
Factor 5*o**4 - 3*o - 18*o**4 + o + 3*o**2 + 4*o + 10*o**4 - o**3 - o**5.
-o*(o - 1)*(o + 1)**2*(o + 2)
Let m(i) = -9*i**3 + 30*i**2 - 20*i + 16. Let g(p) = 8*p**3 - 27*p**2 + 19*p - 15. Let a(t) = -8*g(t) - 7*m(t). Factor a(v).
-(v - 2)**3
Suppose 112*p + 27962 = 28186. Find y, given that 2/7*y**2 + 0 + p*y = 0.
-7, 0
Let d = -32/2681 - -29555/5362. Factor d*g**2 + 0*g**3 + 9*g + 4 - 1/2*g**4.
-(g - 4)*(g + 1)**2*(g + 2)/2
Solve -2720/23 + 1414/23*m**2 - 14*m**3 + 2/23*m**5 + 10/23*m**4 - 976/23*m = 0 for m.
-17, -1, 4, 5
Let w be 792/(-720) - (-48)/32. Let 2/5*n**2 - 2/5 - w*n**3 + 2/5*n = 0. What is n?
-1, 1
Let t(s) be the third derivative of s**6/480 - 11*s**5/80 - 23*s**4/32 + 6877*s**3/24 - 167*s**2. Solve t(b) = 0 for b.
-13, 23
Determine d, given that -34/3*d**2 - 28/3*d - 2/3*d**3 + 64/3 = 0.
-16, -2, 1
Let a(q) be the second derivative of 0 + 0*q**3 + 27/2*q**2 + 0*q**4 - 26*q - 1/60*q**5. Let c(s) be the first derivative of a(s). Factor c(n).
-n**2
Let p(y) = -y**3 - y**2 + y - 1. Let q(z) = -3*z**3 - 13*z**2 + 27*z - 15. Let v = -56 + 66. Let x(h) = v*p(h) - 5*q(h). Factor x(j).
5*(j - 1)**2*(j + 13)
Factor -2045*w**2 + 4085*w**2 + 15*w - 36 - 2041*w**2.
-(w - 12)*(w - 3)
Let a = -60 + 80. Suppose -3*t + 3*z = -5*t + a, 4 = z. Factor 4*x + 3*x**3 - 4*x**3 - 194*x**2 + 190*x**2 + x**t.
x*(x - 2)*(x - 1)*(x + 2)
Let v = 708228 + -708220. Solve -1/3*o**3 - 3*o**2 - v + 34/3*o = 0.
-12, 1, 2
Let z(w) be the first derivative of -165 - 1/5*w**3 + 0*w - 3/20*w**4 + 0*w**2. Solve z(r) = 0.
-1, 0
Let x be 45/(-6)*(-7416)/54. Factor 8*d + x - 4*d**2 - 1030.
-4*d*(d - 2)
Let d(h) be the first derivative of -h**4/6 - 52*h**3/9 + h**2/3 + 52*h/3 + 2865. Factor d(m).
-2*(m - 1)*(m + 1)*(m + 26)/3
Let s = -20 - -29. Suppose -s*p - 45 = -12*p. Find x such that 6 + 4 - 45*x - 5 + 5 + p*x**2 + 70*x**3 = 0.
-1, 2/7, 1/2
Let m(r) be the third derivative of -1/2184*r**8 + 0*r - 4/1365*r**7 + 0*r**3 - 18*r**2 + 0*r**4 - 2 - 1/65*r**5 + 11/780*r**6. Factor m(q).
-2*q**2*(q - 1)**2*(q + 6)/13
Suppose -8*r + 140 - 92 = 0. Let u(n) be the second derivative of -1/25*n**5 + 1/75*n**r + 3*n + 0*n**3 + 0*n**2 + 1/30*n**4 + 0. Suppose u(s) = 0. Calculate s.
0, 1
Let -140/3 - 50*r - 15*r**2 - 5/6*r**3 = 0. Calculate r.
-14, -2
Let j = 88 + -84. Find v such that 15*v**3 + 62*v**4 + 15*v**5 + 145*v**2 - 27*v**j - 160*v**2 - 10*v = 0.
-1, 0, 2/3
Factor 953520/7*f + 69651/7*f**2 + 3/7*f**4 + 870/7*f**3 + 3603648/7.
3*(f + 8)**2*(f + 137)**2/7
Let c be (-29)/(-6) - (-39)/(-117). Suppose -56*a = -52*a. Factor -15/2*y**2 + a - 3/2*y - 21/2*y**3 - c*y**4.
-3*y*(y + 1)**2*(3*y + 1)/2
Suppose -16 = 4*m, -2*m - 20 = -2*d + m. Suppose 2*l = -2*h + 4, -2*h + 0*l - d*l = 0. Solve 16 - 8*c**3 - h*c**4 - 15*c + 36*c + 12*c**2 + 11*c = 0 for c.
-2, -1, 2
Suppose -6 + 66 = 2*w + 3*w. Let a(u) be the third derivative of 1/120*u**6 + 1/36*u**5 + 0*u + 1/6*u**3 + 0 - 11/72*u**4 - w*u**2. Factor a(f).
(f - 1)*(f + 3)*(3*f - 1)/3
Let a = -817 - -831. Suppose -5*x + 2*f + a = 0, 3*x - 4*x = -f - 4. Suppose 27/2*o**x + 3*o + 27/2*o**3 + 0 - 3/2*o**4 - 9/2*o**5 = 0. Calculate o.
-1, -1/3, 0, 2
Let f(u) be the first derivative of -u**6/4 + 4*u**5/5 + 35*u**4/8 + 2*u**3/3 - 5*u**2 - 367. Determine p, given that f(p) = 0.
-2, -1, 0, 2/3, 5
Let c = -20 + 25. Suppose -4 = -3*q - c*p, q - 2*q + 5*p = -8. Determine a so that a**3 + 32*a + 16 + 68*a + 19*a**q + 85*a**2 + 4 = 0.
-2, -1/4
Let r(b) = 9*b**2 - 3870*b - 3748102. Let a(i) = -14*i**2 + 3869*i + 3748105. Let n(j) = 4*a(j) + 6*r(j). Factor n(m).
-2*(m + 1936)**2
Let o(t) = 20*t**3 - 948*t**2 + 4684*t - 1716. Let a(s) = 5*s**2 + 1. Let w(r) = -4*a(r) + o(r). Factor w(q).
4*(q - 43)*(q - 5)*(5*q - 2)
Determine g so that -4089*g - 284/5*g**2 - 39762/5 - 1/5*g**3 = 0.
-141, -2
Let k = -2/133849 - -535410/936943. Factor -10816/7 - 416/7*z - k*z**2.
-4*(z + 52)**2/7
Let z(b) be the second derivative of -b**4/48 - b**3/12 + 15*b**2/8 - 880*b. Find w, given that z(w) = 0.
-5, 3
Suppose 48/5 + 2/5*q**3 - 4*q**2 - 8/5*q + 2/5*q**4 = 0. What is q?
-3, -2, 2
Suppose 0 = -2*r - j + 9, -11*j + 8*j = -3*r. Let n(a) be the first derivative of -6*a**4 - 15 + 0*a + 16/3*a**r + 16/5*a**5 - 2*a**2 - 2/3*a**6. Factor n(d).
-4*d*(d - 1)**4
Let l(f) = -6*f**2 - 5240*f - 3447994. Let z(y) = -11*y**2 - 10483*y - 6895974. Let j(q) = -7*l(q) + 4*z(q). Suppose j(t) = 0. Calculate t.
-1313
Let z(m) = 2*m + 4. Let d be z(3). Suppose 0 = 2*y - 7*y + d. Factor -20*t**y + t**3 + 11*t**2 + 8*t**2.
t**2*(t - 1)
Let a be (2 - 3)*(-6 - -14). Let h be (-224)/196 - 1*a. Factor -h*c + 288/7 + 2/7*c**2.
2*(c - 12)**2/7
Factor 88*f + 24*f - 20*f - 192 - 5*f**2 + 7*f**2.
2*(f - 2)*(f + 48)
Let z be -3*1 + -20 + 25. Solve -22*l + 20 + 25*l + 15*l**3 + 21*l + 16*l - 55*l**z = 0 for l.
-1/3, 2
Let p = 69664 + -766302/11. Determine t so that -30/11*t + p*t**2 + 0 = 0.
0, 15
Let m(d) be the second derivative of -d**8/13440 - d**7/1680 + 11*d**4/3 - 70*d. Let t(i) be the third derivative of m(i). Factor t(j).
-j**2*(j + 3)/2
Let i(w) be the third derivative of 0*w**4 + 0*w + 1/70*w**7 + 138*w**2 + 0*w**3 + 1/8*w**6 + 0*w**5 + 0. Suppose i(x) = 0. Calculate x.
-5, 0
Let s(y) be the second derivative of y**6/15 + 43*y**5/20 + 61*y**4/12 + 10*y**3/3 - 1635*y. Factor s(l).
l*(l + 1)*(l + 20)*(2*l + 1)
What is q in 11/4*q**3 + 7/2*q**2 + 0 - 1/4*q**4 - 6*q = 0?
-2, 0, 1, 12
Let d(m) = 4*m**2 + 763*m + 729. Let u(a) = 2*a**2 + 382*a + 368. Let z(j) = -2*d(j) + 5*u(j). Determine i, given that z(i) = 0.
-191, -1
Let i be -20 - -4 - (-17 + 1). Let q(t) be the third derivative of 0*t - 4*t**2 + 0 + 1/20*t**5 + 1/8*t**4 + i*t**3. Find o such that q(o) = 0.
-1, 0
Let c be ((90/4)/15)/(9*2/16). Determine z so that -2 + 8/3*z + c*z**2 - 8/3*z**3 + 2/3*z**4 = 0.
-1, 1, 3
Find b, given that 104*b**2 - 403 + 768*b + 653*b**3 + 742 - 649*b**3 + 813 = 0.
-12, -2
Let f be (-1406)/(-4020) - ((-119)/(-35))/(-17). Let j = f - 10/201. Determine v so that 1/2*v + 0*v**2 + 0 - j*v**3 = 0.
-1, 0, 1
Let f(j) be the first derivative of j**6/90 + j**5/60 + 178*j + 17. Let k(a) be the first derivative of f(a). Factor k(z).
z**3*(z + 1)/3
Find a such that -22/5*a**3 + 0 + 0*a - 2/5*a**5 - 52/5*a**2 + 28/5*a**4 = 0.
-1, 0, 2, 13
Let o be ((-6)/(-4))/(7654/3560 - 7/5). Factor 0 + 0*b**3 - 2/5*b + 4/5*b**o + 2/5*b**5 - 4/5*b**4.
2*b*(b - 1)**3*(b + 1)/5
Let n(z) be the second derivative of 2*z**7/21 - 34*z**6/15 + 42*z**5/5 + 260*z**4/3 + 400*z**3/3 + 4*z - 61. Suppose n(t) = 0. Calculate t.
-2, -1, 0, 10
Let c(f) be the second derivative of -f**5/15 - 157*f**4/18 + 752*f**3/9 + 415*f**2/3 + 13*f + 231. Find l such that c(l) = 0.
-83, -1/2, 5
Factor 45/2*r**3 + 0*r + 0 - 50*r**2 + 5/4*r**4.
5*r**2*(r - 2)*(r + 20)/4
Let x be (2844/(-630) - -6) + 2/(-7). Let h(w) be the second derivative of -3*w + 0 + 1/15*w**4 + 4/15*w**3 - x*w**2. Determine c, given that h(c) = 0.
-3, 1
Let n(k) be the first derivative of -k**4/14 + 66*k**3/7 - 312*k**2 - 27040*k/7 - 114. Factor n(z).
-2*(z - 52)**2*(z + 5)/7
Let m(y) be the first derivative of 5*y**6/6 - 7*y**5 + 5*y**4/2 + 200*y**3/3 - 747. Find i, given that m(i) = 0.
-2, 0, 4, 5
Let o(y) = 21*y**2 - 30*y**2 + 1 + 2 + 10*y**2. Let q(d) = d**3 - 8*d**2 - 27*d - 2. Let m(v) = 4*o(v) - q(v). Suppose m(h) = 0. Calculate h.
-1, 14
Let m(d) be the first derivative of -4 + 1/20*d**5 + 0*d - 1/2*d**3 + 0*d**4 + 31/2*d**2. Let l(r) be the second derivative of m(r). Factor l(z).
3*(z - 1)*(z + 1)
Let b be 9/(-4) - (-12)/48. Let z(v) = 5*v**2 + 39*v + 70. Let h(i) = i**2 + 10*i + 17. Let k(f) = b*z(f) + 9*h(f). Suppose k(j) = 0. Calculate j.
-1,