267. Let l = 28 + -24. Find g, given that 0*g**r - 3/4*g + 0 + 1/8*g**l - 7/8*g**2 = 0.
-2, -1, 0, 3
Let b be (-8)/(20/(-4) - (-22)/4). Let v be (-4)/b*-4 - -3. Factor 2/23*p**5 - 4/23*p**4 + 4/23*p**v + 0 + 0*p**3 - 2/23*p.
2*p*(p - 1)**3*(p + 1)/23
Let h(y) be the second derivative of 8*y**7/315 - 14*y**6/15 + 147*y**5/10 - 325*y**4/12 - 292*y. Let j(n) be the third derivative of h(n). Factor j(z).
4*(4*z - 21)**2
Let w(y) = -48*y**2 + 273*y + 267. Let f(d) = -7*d**2 + 39*d + 38. Suppose 0 = 19*x + 9*x + 756. Let n(u) = x*f(u) + 4*w(u). Find a such that n(a) = 0.
-1, 14
Let n be -9 - ((-2456)/40 + -7). Let d = n + -3257/55. Solve 2/11*u**2 - 4/11 + d*u = 0.
-2, 1
Factor 305099*g**2 - 64*g - 3*g**3 - 305150*g**2 + 187*g + 171.
-3*(g - 3)*(g + 1)*(g + 19)
Suppose 4*j = -20, a - 87*j - 7 = -86*j. Let o(m) be the first derivative of -1/4*m**a + 10 - 1/4*m**3 - 1/16*m**4 + 0*m. Factor o(p).
-p*(p + 1)*(p + 2)/4
Let b(m) be the first derivative of 0*m**2 - 1/16*m**4 - m + 1/4*m**3 - 74. Find y such that b(y) = 0.
-1, 2
Let k be (31 - 31)*19/(-475). Suppose 0 + k*y + 1/3*y**2 + 1/3*y**3 = 0. What is y?
-1, 0
Let l be 312*33/1760 + 3/5*20/30. Factor -45/4*z + 5/4*z**3 + l + 15/4*z**2.
5*(z - 1)**2*(z + 5)/4
Determine p, given that -22*p - 1/6*p**4 + 19/3*p**2 + 5/6*p**3 - 60 = 0.
-5, -2, 6
Let j be 1*8 + (-53721)/6768. Let y(a) be the first derivative of 1/6*a**3 + a - 10 - 7/8*a**2 + j*a**4. What is r in y(r) = 0?
-4, 1
Let z be ((-50)/150)/(1/3)*2/6*0. Factor -3/2*p**2 - 9/2*p**3 + z + 3*p.
-3*p*(p + 1)*(3*p - 2)/2
Let x(i) be the second derivative of -22/15*i**3 - 3*i + 13 + 1/30*i**4 + 8*i**2. Factor x(s).
2*(s - 20)*(s - 2)/5
Let l(r) be the second derivative of -r**4/42 + 5*r**3/21 - 1852*r. Let l(c) = 0. Calculate c.
0, 5
Let l(m) be the second derivative of m**6/1080 + 17*m**5/360 - m**4/4 + 59*m**3/6 - m**2/2 - 180*m. Let g(a) be the second derivative of l(a). Factor g(w).
(w - 1)*(w + 18)/3
Let k = 505 - 335. Factor k*l**2 + l**4 - l**4 - 20*l**3 - 5*l**4 - 145*l**2.
-5*l**2*(l - 1)*(l + 5)
Let d be 1/2 - 99/(-22). Let l(m) = 8*m - 107. Let a be l(15). Factor -d - 6*h - 27*h**2 + a*h**2 + 13*h**2.
-(h + 1)*(h + 5)
Let i(n) = -10*n**2 + 560*n - 538. Let w(r) = 19*r**2 - 1120*r + 1079. Let a(z) = 11*i(z) + 6*w(z). Solve a(d) = 0.
1, 139
Factor -20/3*r**2 - 8/3*r - 16/3*r**3 + 0 - 4/3*r**4.
-4*r*(r + 1)**2*(r + 2)/3
Let 2/9*a**2 + 88/9*a + 518/9 = 0. Calculate a.
-37, -7
Factor 22*t**2 + 80*t**3 + 55*t**4 - 28*t**2 + 3*t**2 + 23*t**2 + 5*t**2.
5*t**2*(t + 1)*(11*t + 5)
Let b(h) be the third derivative of h**7/630 + h**6/12 - h**5/5 - 79*h**4/36 - 31*h**3/6 - 86*h**2 - 10*h. Determine f, given that b(f) = 0.
-31, -1, 3
Let b(a) = -a**2 + 3*a + 2. Let m be (-144)/(-126)*(-14)/(-4). Let y(r) = m + 10 - 19 + 6. Let q(n) = -3*b(n) - 24*y(n). Determine u, given that q(u) = 0.
-2, 5
Let r(f) = f**3 - 5*f**2 - 29*f + 153. Let w be r(5). Suppose -w*x = k - 13*x - 29, 25 = -5*x. Solve -1/6*p**k + 2/3*p**3 - 1/3*p**2 + 1/2 - 2/3*p = 0 for p.
-1, 1, 3
Let s(q) be the first derivative of -q**6/72 + q**5/2 + 35*q**4/6 - 14*q**3/3 + 5*q - 139. Let f(m) be the third derivative of s(m). Solve f(v) = 0 for v.
-2, 14
Let s(j) be the first derivative of 4*j**5/15 + j**4/3 - 4*j**3/9 - 2*j**2/3 - 237. Determine c so that s(c) = 0.
-1, 0, 1
Factor -12136 - 475*v**2 + v**3 + 4225*v - 5360 - 47*v**2 + 2*v**3 + 1715*v.
3*(v - 162)*(v - 6)**2
Let q = -220379 - -440767/2. Solve q*a + 0 - 1/2*a**2 = 0 for a.
0, 9
Let z(f) = f**3 + 216*f**2 + 3016*f + 204. Let p be z(-201). Factor -1/3*t**p - t**2 + 1 + 1/3*t.
-(t - 1)*(t + 1)*(t + 3)/3
Let f be (-1)/(-3) - (-44)/30. Let o = 87194 - 87192. Find g such that 6/5 + f*g + 3/5*g**o = 0.
-2, -1
Let z = 336 - 334. Find i, given that -i**2 + 2*i**2 + 2*i**z + 103*i - 169*i = 0.
0, 22
Let d(i) be the first derivative of 4*i - 8/3*i**3 - 3*i**2 + 37 + 3/2*i**4 + 4/5*i**5. Find g, given that d(g) = 0.
-2, -1, 1/2, 1
Suppose 829*c + 78*c = -161*c + 2136. Determine k, given that 4/11*k**5 - 24/11*k - 74/11*k**c + 0 + 2/11*k**4 - 52/11*k**3 = 0.
-3, -1, -1/2, 0, 4
Let o(w) be the second derivative of 7*w**7/2 + 3066*w**6/5 - 15849*w**5/20 + 567*w**4/2 - 4*w - 358. Factor o(n).
3*n**2*(n + 126)*(7*n - 3)**2
Factor 8/3*t**2 - 1/3*t**3 - 11/3*t - 20/3.
-(t - 5)*(t - 4)*(t + 1)/3
Let l(n) be the third derivative of -n**6/480 + 49*n**5/120 - 2401*n**4/96 - 489*n**2. Find f, given that l(f) = 0.
0, 49
Let m = -1000047/5 + 200010. Solve -153/5*s - m*s**3 - 39/5*s**2 - 189/5 = 0.
-7, -3
Let z(n) be the first derivative of -10*n**6/9 + 34*n**5/5 - 77*n**4/6 + 10*n**3 - 3*n**2 - 6104. Suppose z(d) = 0. What is d?
0, 1/2, 3/5, 1, 3
Let j be 12/(264/209) - ((-18)/(-4) - 2). Let f(s) be the third derivative of 1/15*s**3 + 0*s - j*s**2 - 1/25*s**5 - 1/12*s**4 + 0. Factor f(n).
-2*(n + 1)*(6*n - 1)/5
Factor -3/4*b + 0 + 1/4*b**4 + 3/4*b**3 - 1/4*b**2.
b*(b - 1)*(b + 1)*(b + 3)/4
Let q(g) = 3*g**2 + 69*g + 429. Let j(u) = -3*u**2 - 70*u - 430. Suppose 12*x + 14 = 5*x. Let y(t) = x*q(t) - 3*j(t). Factor y(n).
3*(n + 12)**2
Let k(w) = 11*w**2 - 10*w - 10. Let p be k(-1). Let -8 + 5*r**4 - 2*r**4 + 12*r**2 - 14*r**3 - 16*r + p*r**2 + 12 = 0. Calculate r.
2/3, 1, 2
Let w be 2/2 - (-4250)/400 - 9. Let t(x) be the third derivative of -w*x**4 + 2/5*x**5 + 0 - 1/40*x**6 + 9*x**3 - 16*x**2 + 0*x. Factor t(i).
-3*(i - 3)**2*(i - 2)
Factor -352*h + 244*h + 32*h**2 + 2*h**3 - 26*h**2.
2*h*(h - 6)*(h + 9)
Let j(t) = 27*t**3 + 33*t**2 + 90*t + 60. Let y(n) = -2*n**3 - n - 1. Suppose 3*u - 18 = -21. Let r(b) = u*j(b) - 12*y(b). Determine k so that r(k) = 0.
-8, -2, -1
Let d(g) be the second derivative of g**7/21 - 13*g**6/15 + 5*g**5/2 + 31*g**4/2 + 18*g**3 + 2291*g. Suppose d(m) = 0. Calculate m.
-1, 0, 6, 9
Let 32*f**3 - 12 + 5 - 10 - 26*f**3 - 46*f - 7 + 2*f**4 - 18*f**2 = 0. What is f?
-4, -1, 3
Suppose -1/3*a**3 - 340/3*a + 112 + 88/3*a**2 = 0. What is a?
2, 84
Let o(i) be the second derivative of -i**7/14 + i**6/5 + 9*i**5/20 - 2*i**4 + 2*i**3 + i - 168. Suppose o(l) = 0. What is l?
-2, 0, 1, 2
Let a(i) be the second derivative of i**7/840 - i**6/60 + i**5/10 - 19*i**4/12 + 76*i. Let z(m) be the third derivative of a(m). Factor z(h).
3*(h - 2)**2
Factor 1/3*d**5 - 76/3*d**3 + 0 + 0*d**2 - 25*d**4 + 0*d.
d**3*(d - 76)*(d + 1)/3
Let j(x) = -x**2 - 14*x - 36. Let k be (-4)/((-9)/(225/(-10))). Let b be j(k). Factor 8*a - 4*a + a**b + 2*a - 15*a**2 + 3*a**3 + 5*a**4.
3*a*(a - 1)*(a + 2)*(2*a - 1)
Let o(u) = 6*u**3 + 32*u**2 - 236*u + 191. Let h(a) = 4*a**3 + 16*a**2 - 118*a + 95. Let x(g) = -7*h(g) + 3*o(g). Factor x(n).
-2*(n - 2)*(n - 1)*(5*n + 23)
Let f = 9217 - 967784/105. Let t(j) be the second derivative of -3/70*j**5 + 1/14*j**4 + 0*j**2 - 21*j + f*j**6 - 1/21*j**3 + 0. Factor t(g).
2*g*(g - 1)**3/7
Factor -94*l**2 + 21*l**2 + 104*l - 102*l**2 - 3*l**3 - l**3 + 275*l**2.
-4*l*(l - 26)*(l + 1)
Let c(m) = m**2 - 10*m + 18. Let a be c(7). Let j be a/(-5 - (-4 - (-1 - -1))). Factor 4*q - j - 1 + 397*q**2 - 2*q - 395*q**2.
2*(q - 1)*(q + 2)
Factor -146/7 + 144/7*j + 2/7*j**2.
2*(j - 1)*(j + 73)/7
Suppose t - 10 = 4*g, 117*t + 12 = 119*t - 4*g. Suppose 14/3*n - 2/3*n**t - 20/3 = 0. What is n?
2, 5
Factor 264/7 + 386/7*c**2 + 6/7*c**3 - 656/7*c.
2*(c - 1)*(c + 66)*(3*c - 2)/7
Let j(p) be the second derivative of p**7/42 + p**6/15 - 3*p**5/5 - 7*p**4/6 + 11*p**3/6 + 6*p**2 - 4*p - 9. Determine m so that j(m) = 0.
-4, -1, 1, 3
Let c(o) be the first derivative of -1/4*o**4 + 0*o + 0*o**2 + 0*o**3 - 144 + 1/10*o**5. Suppose c(s) = 0. Calculate s.
0, 2
Let o be (-1*(-17)/(-255))/(-1). Let z(g) be the third derivative of 3*g**2 + o*g**5 + 0*g - 1/2*g**4 + 0 + 4/3*g**3. Factor z(h).
4*(h - 2)*(h - 1)
Let c(u) be the first derivative of 1/15*u**2 + 8/3*u + 332 - 2/45*u**3. Let c(s) = 0. Calculate s.
-4, 5
Let s(x) be the second derivative of -4/5*x**5 + 8/3*x**3 + 19*x + 6*x**2 - 2/15*x**6 - 2/3*x**4 + 1. Suppose s(d) = 0. What is d?
-3, -1, 1
Suppose -u = -6*u + 1595. Suppose -4*m = 12, -5*d + u - 55 = -3*m. Suppose 75*f**2 + 8*f + 22*f**3 + 0*f**4 + 6*f**4 - d*f**2 = 0. What is f?
-2, -1, -2/3, 0
Suppose -h = -5 + 3. Suppose 18 = h*x - 2*t, -3*x + 3 + 4 = t. Factor 21*w**3 + 4*w**4 + x*w - 16*w**2 + 2*w - 15*w**3.
2*w*(w - 1)*(w + 3)*(2*w - 1)
Let i = 4910 - 4908. 