z). Factor h(j).
2*(j + 5)**2/15
Let m(v) = v**3 - 34*v**2 - 35*v + 42. Let b be m(35). Factor 16*f**2 - b*f**2 - 76*f + 28*f**2 - 78.
2*(f - 39)*(f + 1)
Find f, given that -768 - 7876/3*f**2 - 3008*f - 5*f**4 + 704/3*f**3 = 0.
-2/3, -2/5, 24
Let p(d) = -8*d + 158. Let q be p(20). Let u be q + (-10)/(-8) + 1. Factor -u*k**2 - 1/4*k**3 + 1/2*k + 0.
-k*(k - 1)*(k + 2)/4
Suppose -3*h - 529 = -w - 514, 0 = -2*w + 42. Factor 10/3*v**h + 0 + 8/3*v + 2/3*v**3.
2*v*(v + 1)*(v + 4)/3
Suppose 10*d - d = 180. Determine s, given that -d*s**2 + 160*s - 185*s + 2*s**3 - 7*s**3 - 10 = 0.
-2, -1
Let a be (-264)/(-3168) - (-14)/12. Factor -1/4*y**2 + 7/2 - a*y.
-(y - 2)*(y + 7)/4
Factor 152*f - 3*f**2 + 77 + 238*f - 436 - 28.
-3*(f - 129)*(f - 1)
Let i(t) = -6*t**3 - 254*t**2 - 376*t - 312. Let s(v) = v**3 + 47*v**2. Let w(d) = i(d) + 4*s(d). Factor w(q).
-2*(q + 1)*(q + 6)*(q + 26)
Solve -3188/9*x**3 + 10192/9*x**2 - 21698/9*x**4 - 5054/9*x**5 - 3008/9*x + 256/9 = 0 for x.
-4, -1, 4/19, 2/7
Let i(k) = 54*k**2 - 1. Let t(o) = -1345*o**2 - 60*o - 1600. Let l(n) = 25*i(n) + t(n). Suppose l(a) = 0. Calculate a.
-13, 25
Let a(o) = -o**4 - 5*o**3 - 42*o**2 + 44*o + 58. Let g(x) = -5*x**3 - 40*x**2 + 40*x + 55. Let y(t) = -5*a(t) + 6*g(t). Find d, given that y(d) = 0.
-2, -1, 2
Let n(f) be the third derivative of -9 + 31/3*f**4 - 27/40*f**6 + 0*f + f**2 - 177/20*f**5 - 14/3*f**3. Suppose n(o) = 0. What is o?
-7, 2/9
Factor 2*x**2 - 3*x**2 - 686*x - 3 + 231*x + 229*x + 230*x.
-(x - 3)*(x - 1)
Let o = 1687545 + -11769272/7. Let w = o - 6193. Find z, given that 1083/7*z**2 - 144*z**4 + w*z**5 + 27/7 + 306/7*z + 900/7*z**3 = 0.
-1/4, 3
Let h = -109 - -112. Factor -18*x**2 + 12*x**h + 2*x**4 + 25*x**4 + 3*x**5 - 15*x - 9*x**4.
3*x*(x - 1)*(x + 1)**2*(x + 5)
Let c(p) = 3*p**2 - 1114*p - 1065. Let d(x) = x**2 - 1113*x - 1075. Let z(q) = -3*c(q) + 4*d(q). Factor z(h).
-5*(h + 1)*(h + 221)
Let k be (5/(-4))/((-80)/256). Suppose 0 = -5*c - 19*d + 15*d + k, 2 = c + 2*d. Solve 3/7*l**3 - 9/7*l**2 + 6/7*l + c = 0 for l.
0, 1, 2
Factor -118*h**2 - 73*h**2 + 11*h + 51*h**2 - 3*h - 8*h**2.
-4*h*(37*h - 2)
Let r(v) = 2*v**2 + 73*v + 248. Suppose 0 = 7*m - 5*m - 4. Let s(k) = -37*k**2 + 247 + 46*k**2 + 72*k - 6*k**2. Let c(f) = m*r(f) - 3*s(f). Factor c(o).
-5*(o + 7)**2
Solve -12 + 56/5*l**3 - 56/5*l + 64/5*l**2 - 4/5*l**4 = 0.
-1, 1, 15
Let k(p) be the second derivative of 3*p**5/100 + 153*p**4/20 + 298*p**3/5 + 9*p - 103. Determine a, given that k(a) = 0.
-149, -4, 0
Let y(t) be the second derivative of 80*t**3 + 3*t**5 - 4 - 65/3*t**4 - 28*t - 1/6*t**6 - 160*t**2. Factor y(o).
-5*(o - 4)**2*(o - 2)**2
Let h(v) = 11*v**2 - 25*v - 184. Let a be h(-9). Let f be (-9)/(-45) + a/40 + 4. Factor -25/4 - u**3 - f*u - 41/4*u**2.
-(u + 5)**2*(4*u + 1)/4
Suppose 0 = -4*h - j + 16, 814*h - j - 2 = 809*h. Let o(x) be the first derivative of 480*x**h + 40*x**3 + 5/4*x**4 + 14 + 2560*x. Factor o(d).
5*(d + 8)**3
Let 308/3*j**2 + 104 + 622/3*j - 2/3*j**3 = 0. Calculate j.
-1, 156
Let s be (1/5)/(74/(-15) + 5). Let x(z) be the second derivative of 0*z**2 - 2/9*z**s + 13*z + 0*z**4 - 1/90*z**6 + 0 + 1/20*z**5. Determine g so that x(g) = 0.
-1, 0, 2
Let i(p) be the first derivative of 3/2*p**2 - 3/4*p**4 + 36 + 7*p**3 - 21*p. Find q, given that i(q) = 0.
-1, 1, 7
Let z = -1060468 + 7423278/7. Determine r, given that 4*r + z*r**2 - 30/7 = 0.
-15, 1
Suppose 72 + 40*x**3 + 226*x + 134*x - 741*x**2 + 1039*x**2 = 0. What is x?
-6, -6/5, -1/4
Let m(p) be the third derivative of -11*p**5/40 - 21*p**4/16 + p**3/2 - 31*p**2 + 6. Factor m(j).
-3*(j + 2)*(11*j - 1)/2
Let n(c) be the second derivative of 7/36*c**3 - 1 + 0*c**2 - 1/72*c**4 + 114*c. Suppose n(o) = 0. Calculate o.
0, 7
Let a(s) be the third derivative of 27*s**8/28 - 1014*s**7/7 - 451*s**6/15 + 352*s**5 - 752*s**4/3 + 8678*s**2. Suppose a(c) = 0. Calculate c.
-1, 0, 4/9, 94
Suppose -87 - 1 = 8*k. Let c(w) = 9*w**2 + 4*w + 11. Let a(d) = -5*d**2 - 2*d - 6. Let f(x) = k*a(x) - 6*c(x). Factor f(s).
s*(s - 2)
Let x(v) be the first derivative of v**4 + 20*v**3/3 - 16*v**2 - 192*v - 2166. What is q in x(q) = 0?
-4, 3
Let d(t) = 12*t**2 - 252*t + 464. Let a(y) = -26*y**2 + 509*y - 932. Let v(k) = -4*a(k) - 9*d(k). What is m in v(m) = 0?
2, 56
Let v(j) be the first derivative of -j**4/24 + 62*j**3/9 + 125*j**2/12 + 6633. Determine z, given that v(z) = 0.
-1, 0, 125
Let q(g) = 58*g**2 - 138*g + 89. Let b(l) = -436*l**2 + 1034*l - 666. Let n(o) = 5*b(o) + 38*q(o). Determine a, given that n(a) = 0.
13/12, 2
Factor -132 + 15/2*p**2 + 327*p.
3*(p + 44)*(5*p - 2)/2
Suppose 1644*c - 1641*c - 9 = -2*v, 0 = 5*v - c + 3. What is u in -3/4*u**2 - 9*u + v = 0?
-12, 0
Factor -1762*y - 1982*y + 3*y**3 + 222*y**2 + 49 + 939*y - 49.
3*y*(y - 11)*(y + 85)
Let z(v) be the second derivative of -3/80*v**5 - 3/2*v**3 + 3*v**2 + 3/8*v**4 - 2*v - 6. Factor z(h).
-3*(h - 2)**3/4
Suppose 11*h - 13*h + 8 = 0, t = 3*h + 34. Factor -40*s**4 - 96 + 272*s - t*s**3 + 4*s**5 - 296*s**2 + 71*s**3 + 131*s**3.
4*(s - 3)*(s - 2)**3*(s - 1)
Let k(o) = 20248*o + 243648. Let q be k(-12). Find n such that -34992 - 73/3*n**4 - 1/3*n**5 - q*n**3 - 42768*n - 8424*n**2 = 0.
-18, -1
Determine s so that -2/13*s**2 + 782/13 + 60*s = 0.
-1, 391
Let c(u) be the first derivative of u**5/100 + 19*u**4/10 + 722*u**3/5 + 27436*u**2/5 + 218*u + 189. Let z(t) be the first derivative of c(t). Factor z(o).
(o + 38)**3/5
Find q, given that 1203*q - 1044 - 18*q**3 - 6732 - 840*q**2 + 3945*q + 14*q**3 = 0.
-216, 3
Let p(t) = -7*t**2 - 3*t + 2. Let w(r) = -r**2 - 2. Let g(f) = 2*f**2 + 3. Let k(z) = 2*g(z) + 3*w(z). Let x(q) = -40*k(q) - 5*p(q). Factor x(o).
-5*(o - 2)*(o - 1)
Let p(d) = -d**3 - 6*d**2 - 77*d - 583. Let a be p(-7). Find y such that -2/7*y**3 + 0*y + 0 - 8/7*y**2 + 2/7*y**a + 8/7*y**4 = 0.
-4, -1, 0, 1
Determine a, given that a - 13*a + 123*a**4 - 21*a**4 + 238*a**2 - 218*a**4 - 110*a**3 = 0.
-2, 0, 3/58, 1
Let r(w) be the third derivative of -w**7/168 - 7*w**6/36 + w**5/24 + 35*w**4/12 - 16*w**3/3 - 50*w**2. Let k(m) be the first derivative of r(m). Factor k(l).
-5*(l - 1)*(l + 1)*(l + 14)
Let v be (5 + 0)*(-18)/(-25). Suppose 71*a = 78*a - 14. Factor 12/5*r + 2/5*r**a + v.
2*(r + 3)**2/5
Determine o so that -2*o**2 - 66*o + 4*o**2 + 2*o**2 - o**2 - 966 - 897*o = 0.
-1, 322
Let i = 29233 - 29233. Factor -33/2*s**2 + i - 9*s - 9*s**3 - 3/2*s**4.
-3*s*(s + 1)*(s + 2)*(s + 3)/2
Let s(c) be the first derivative of 1/21*c**6 - 168 - 8/21*c**3 + 0*c + 0*c**2 + 2/35*c**5 - 2/7*c**4. Solve s(v) = 0.
-2, -1, 0, 2
Let o = -596960 + 596964. Let 12*a - 3*a**3 - 9/2*a**o + 39/2*a**2 - 6 = 0. Calculate a.
-2, -1, 1/3, 2
Let l(k) be the third derivative of -1/20*k**5 + 0 - 8*k**3 + 0*k + 17/8*k**4 + 54*k**2. Factor l(r).
-3*(r - 16)*(r - 1)
Let g = -15 + 159. Suppose -r + 5 = 2. Find n such that -r*n**2 - g + 2*n + 144 + 5*n**2 = 0.
-1, 0
Let h be -10 - 67*(-4 - (-204)/54)*72/96. Find g such that -5/6*g**4 - 1/2*g**3 + 1/2*g - 1/3 + h*g**2 = 0.
-1, 2/5, 1
Let k(r) = -543*r**2 - 100997*r + 188. Let c be k(-186). Factor -2 + 2/7*q**c + 12/7*q.
2*(q - 1)*(q + 7)/7
Let n(f) be the second derivative of -f**5/40 + 13*f**4/4 - 120*f**3 - 800*f**2 - 1314*f. Factor n(x).
-(x - 40)**2*(x + 2)/2
Find x, given that 1280/13*x**2 - 14/13*x**5 - 576/13*x - 288/13 + 178/13*x**4 - 760/13*x**3 = 0.
-2/7, 2, 3, 6
Let u(a) = 9*a**2 - 585*a + 6087. Let g be u(52). Let p be -1 + (-1)/((-7)/15). Determine q, given that -2/7*q**g - 16/7*q - p - 10/7*q**2 = 0.
-2, -1
Let l(z) = -z + 5 + 8*z**2 - 13*z**2 + 6*z - 5*z**2. Let c(f) = -9*f**2 + 3*f + 4. Let x(w) = 5*c(w) - 4*l(w). Factor x(u).
-5*u*(u + 1)
Let z(x) be the second derivative of -x**4/18 - 64*x**3/9 - 21*x**2 - 2*x - 483. Suppose z(s) = 0. What is s?
-63, -1
Let g(m) be the second derivative of -9/16*m**4 - 1/2*m**3 + 74*m - 3/40*m**5 + 0*m**2 + 0. Factor g(v).
-3*v*(v + 4)*(2*v + 1)/4
Find d such that 878 - 290*d - 6953 + 155 + 3830*d**2 - 3825*d**2 = 0.
-16, 74
Solve -3*v**4 - 674*v**2 - 1039*v**2 + 252*v + 5292 - 3576*v**2 + 264*v**3 - 516*v**3 = 0.
-42, -1, 1
Let 102890 - 101243 + 3*t**2 + 0*t**2 - 558*t = 0. Calculate t.
3, 183
Let 88/7*f**3 + 0 - 16/7*f + 348/7*f**2 = 0. What is f?
-4, 0, 1/22
Let s(h) be the third derivative of h**8/336 - 4*h**7/105 - h**6/120 + 2*h*