4*u**2 + 160*u - 274. Factor m(b).
4*(b - 20)*(b - 2)
Let p(b) be the second derivative of 0*b**2 + 0 + 0*b**4 + 0*b**3 - 1/56*b**7 + 0*b**5 + 5*b - 1/40*b**6. Factor p(s).
-3*s**4*(s + 1)/4
Suppose 41*q - 6 = 38*q. Let j(t) be the second derivative of -1/150*t**5 + 0 + 0*t**q + 1/75*t**6 - 4/45*t**3 + 3*t - 4/45*t**4. Determine b so that j(b) = 0.
-1, -2/3, 0, 2
Let n be 27 + -3 + (-6)/3. Factor -12*g**3 + n*g**3 + 9*g**5 - 4*g**5 - 15*g**4.
5*g**3*(g - 2)*(g - 1)
Let q(i) = -6*i + 106. Let s be q(17). Find f, given that -10/7 - 8/7*f**3 + 12/7*f**2 + 8/7*f - 2/7*f**s = 0.
-5, -1, 1
Let s = 4701/10 + -14083/30. Suppose 1/3*k**2 + s*k + 0 = 0. Calculate k.
-2, 0
Factor -1/9*j**2 + 1/9*j + 2/9.
-(j - 2)*(j + 1)/9
Let q(f) be the third derivative of -2/3*f**5 + 50*f**2 - 7/40*f**6 + 0 + 1/3*f**3 - 17/24*f**4 + 0*f. Factor q(s).
-(s + 1)**2*(21*s - 2)
Factor -2/7*d**4 + 2/7*d**3 + 0*d + 0 + 4/7*d**2.
-2*d**2*(d - 2)*(d + 1)/7
Let c(n) = 2*n**3 - 3*n**2 + 25*n - 19. Let q(w) = -3*w**3 + 6*w**2 - 51*w + 39. Let u(s) = 9*c(s) + 5*q(s). Factor u(a).
3*(a - 2)*(a - 1)*(a + 4)
Let c(d) = d**2 + 2*d - 4. Let r(w) = 3*w**2 - 69*w + 150. Let j(t) = 6*c(t) - r(t). Factor j(v).
3*(v - 2)*(v + 29)
Let t = -2392 + 35881/15. Let s(u) be the third derivative of 9*u**2 - 1/600*u**6 + 1/150*u**5 + 0 + 1/120*u**4 - t*u**3 + 0*u. Factor s(w).
-(w - 2)*(w - 1)*(w + 1)/5
Let k be (-4)/16*2*-6 + 4. Suppose -q = -3*x + k, -q - 5*x + 12 = -5. Solve -6/5*z**q + 0*z - 3/5*z**3 + 0 = 0 for z.
-2, 0
Let l(w) = -1. Let t = 4 + -5. Let h(s) = 1. Let m(z) = z**2 - 4. Let u(p) = -2*h(p) - m(p). Let d(r) = t*u(r) - l(r). Factor d(x).
(x - 1)*(x + 1)
Let p(d) be the first derivative of -d**5/140 + d**4/56 + d**3/7 + 16*d**2 - d - 42. Let v(b) be the second derivative of p(b). Find z, given that v(z) = 0.
-1, 2
Let z(p) be the second derivative of 49*p**4/4 + 140*p**3 + 600*p**2 + 84*p. Factor z(i).
3*(7*i + 20)**2
Let i = 11521/48 + -240. Let b(w) be the second derivative of 0*w**3 + i*w**4 + w + 0 - 1/2*w**2. Factor b(f).
(f - 2)*(f + 2)/4
Let z(u) be the second derivative of -3*u**5/80 - 19*u**4/48 - 2*u**3/3 + 5*u**2/2 + 40*u. Suppose z(j) = 0. Calculate j.
-5, -2, 2/3
Let g(m) be the second derivative of m**7/98 - m**6/70 - 3*m**5/70 + 563*m. Factor g(z).
3*z**3*(z - 2)*(z + 1)/7
Let n(k) = 231*k + 20561. Let a be n(-89). Find b, given that -2/11*b**a - 26/11*b - 24/11 = 0.
-12, -1
Let l(k) be the second derivative of 0 + 4*k - 2/9*k**3 + 1/27*k**4 + 4/9*k**2. Let l(f) = 0. What is f?
1, 2
Let h = 6854 - 102806/15. Find y such that -2/3*y + h - 2/15*y**3 + 8/15*y**2 = 0.
1, 2
Let p(f) = -3*f - 12. Let l be p(-5). Solve 18 + 5*r - 37 - 2*r**l - 3*r**5 - 11*r**4 + 16 + 14*r**2 + 0*r**5 = 0.
-3, -1, 1/3, 1
Let n(q) = -q**2 + 7*q - 1. Let b be n(6). What is c in 20*c + b*c**2 - 13*c + 8*c = 0?
-3, 0
Suppose 0 = -c + 4*q + 4, 263*q = c + 258*q - 4. Factor 0 - 1/3*p**c - 2/3*p**2 + p**3 + 0*p.
-p**2*(p - 2)*(p - 1)/3
Let p(k) = -10 - 24 + 11 - 4*k + 2*k. Let t be p(-13). Determine c so that 8/5*c**2 + 4/5*c + 4/5*c**t + 0 = 0.
-1, 0
Let p(h) be the first derivative of -h**7/840 - h**6/120 - h**5/60 - 5*h**3/3 - 3. Let g(b) be the third derivative of p(b). Determine w so that g(w) = 0.
-2, -1, 0
Suppose 2*v + 4*j + 4 = 0, 4 = -2*v - 0*j - 2*j. Let m(p) = -4*p - 5. Let c be m(v). Factor 11/4*s**2 + 9/4*s**c + 0 + 1/2*s.
s*(s + 1)*(9*s + 2)/4
Let l = -478/3237 - -8/83. Let u = 88/195 + l. Factor 4/5 + u*v**3 + 2*v + 8/5*v**2.
2*(v + 1)**2*(v + 2)/5
Let u be (8/22)/(588/1078). Factor 2/3*i**4 - u*i**2 - 2/3*i + 0 + 2/3*i**3.
2*i*(i - 1)*(i + 1)**2/3
Let u(b) be the third derivative of -b**8/105 - 68*b**7/525 + 141*b**6/200 - 37*b**5/60 + 11*b**4/60 - 73*b**2. Determine g, given that u(g) = 0.
-11, 0, 1/4, 2
Suppose 0 = 45*x - 8*x. Factor -2/5*i**2 + x*i + 2/5.
-2*(i - 1)*(i + 1)/5
Suppose -7*y - 4*p + 16 = 0, 3*p - 28 + 16 = 3*y. Factor -1/9*d**3 + 1/9*d**2 + y*d + 0.
-d**2*(d - 1)/9
Suppose -1 - 1 = -q. Suppose -2*v + 4*v + 4*o = -8, -2*v + o = -q. Factor 0*g**4 + 0*g**2 + 0 + 2/7*g**5 + 0*g + v*g**3.
2*g**5/7
Suppose 3*y = s + 6, y - 88 = -4*s - 73. Let -1/7*v**2 - 4/7 - 16/7*v + 3*v**s = 0. What is v?
-2/3, -2/7, 1
Let v(k) be the second derivative of -k**5/130 + 2*k**4/39 + 28*k**3/39 + 32*k**2/13 - 290*k. Factor v(r).
-2*(r - 8)*(r + 2)**2/13
Let n(r) = -r - 1. Let q(x) be the second derivative of -x**4/4 + 7*x**3/2 - 123*x**2/2 + 9*x. Let p(z) = 15*n(z) - q(z). Factor p(f).
3*(f - 6)**2
Suppose -2*k = -7*k - 60. Let c be k/9 - (-74)/42. Factor 0 + 0*z**2 + 3/7*z**3 - c*z.
3*z*(z - 1)*(z + 1)/7
Let d(w) be the third derivative of 1/112*w**8 - 26*w**2 + 0*w**4 + 0 + 1/15*w**5 + 0*w + 0*w**3 - 1/15*w**6 + 1/210*w**7. Factor d(n).
n**2*(n - 1)*(n + 2)*(3*n - 2)
Let s(u) be the second derivative of u**4/12 - 5*u**3/6 - 11*u**2/2 + 4*u. Let m be s(7). What is l in 4*l**3 - 6*l**2 - m*l + 5*l + 2*l**4 + l**2 - 3*l**4 = 0?
0, 1, 2
Let h(y) be the second derivative of -5*y**4/12 - 10*y**3 - 55*y**2/2 - 61*y + 2. Factor h(a).
-5*(a + 1)*(a + 11)
Let q = -223 - -225. Let j(v) be the second derivative of 3*v + 1/20*v**5 - 1/6*v**4 + 0 + 0*v**q + 1/6*v**3. Determine b, given that j(b) = 0.
0, 1
Suppose 0 = 2*t + i + 25, -2*t = -0*i - 4*i + 40. Let c be 100/10*-2*2/t. Determine k so that -4/7 - 16/7*k**4 + 0*k**3 + 6/7*k**5 + c*k**2 - 6/7*k = 0.
-1, -1/3, 1, 2
Find a, given that 1/7*a**3 + 6/7 - 1/7*a - 6/7*a**2 = 0.
-1, 1, 6
Let t(x) = -x**2 - 4*x + 2. Let q be t(-4). Suppose 2*o + q*o = -4, 2*y = -2*o - 2. Factor -12/7*u**2 + y*u - 4/7*u**3 + 0.
-4*u**2*(u + 3)/7
Let k(w) be the first derivative of -w**6/6 + w**5 - w**4 - 32. Factor k(j).
-j**3*(j - 4)*(j - 1)
Let b(i) be the first derivative of -i**4/22 + 2*i**3/3 - 78. Suppose b(c) = 0. What is c?
0, 11
Factor 15*b**2 - 55*b**2 + 36 + 24*b**2 + 12*b**2.
-4*(b - 3)*(b + 3)
Let o(s) be the third derivative of s**5/420 + s**4/168 - 10*s**3/21 - 161*s**2. Solve o(d) = 0 for d.
-5, 4
Let f(t) be the second derivative of -t**4/24 - 71*t**3/12 - 35*t**2/2 - 8*t - 29. Factor f(s).
-(s + 1)*(s + 70)/2
Let c(x) = 48*x**2 - 11 - 5 + 42*x + 1 + 21*x**4 - 90*x**3 + 132*x. Let j(g) = -3*g**4 + 13*g**3 - 7*g**2 - 25*g + 2. Let z(w) = -2*c(w) - 15*j(w). Factor z(l).
3*l*(l - 3)**2*(l + 1)
Let i = 25 + -21. Suppose -i*m - 9 = 3*f - m, -5*m = 2*f + 21. Suppose 19 - 3 - 304*x + 923*x**2 + 521*x**f = 0. What is x?
2/19
Let r(w) = 11*w**4 + 68*w**3 - 94*w**2 + 5*w + 5. Let x(d) = -27*d**4 - 171*d**3 + 234*d**2 - 12*d - 12. Let n(v) = 12*r(v) + 5*x(v). Factor n(g).
-3*g**2*(g - 1)*(g + 14)
Let r(i) be the second derivative of -1/120*i**6 + 0*i**5 + 0 + 1/24*i**4 + 1/2*i**2 + 0*i**3 - 4*i. Let u(d) be the first derivative of r(d). Factor u(c).
-c*(c - 1)*(c + 1)
Suppose 4*d = 5*m, 2*d + m = 3*d. Factor 0*v + 3/5*v**2 + 3/5*v**3 + d.
3*v**2*(v + 1)/5
Let q(u) be the second derivative of u**5/30 - 2*u**4/3 + 16*u**3/3 - 4*u**2 - 8*u. Let w(d) be the first derivative of q(d). Factor w(m).
2*(m - 4)**2
Let -12/7*l**3 - 40/7 + 108/7*l + 40/7*l**2 = 0. Calculate l.
-2, 1/3, 5
Let t(p) = 11*p**2 + 2*p. Let g be t(0). Suppose 2/9*d**2 + 0 + 0*d + g*d**3 - 2/9*d**4 = 0. Calculate d.
-1, 0, 1
Let m(c) be the second derivative of c**4/72 + c**3/36 - 5*c**2/3 + 10*c - 7. Factor m(v).
(v - 4)*(v + 5)/6
Suppose 6 = -2*u + z, 4*z + 10 = 34. Factor 6/7*h**2 - 6/7*h + u.
6*h*(h - 1)/7
Let r be -1*(-84)/90 - ((-28)/(-5) - 6). Factor 13/3*w**3 + 0 - r*w - 4/3*w**2 - 5/3*w**4.
-w*(w - 2)*(w - 1)*(5*w + 2)/3
Solve 15/8*p**2 - 3/8*p**3 - 9/4*p + 0 = 0 for p.
0, 2, 3
Let d(l) be the third derivative of -l**5/48 + 5*l**4/8 - 55*l**3/24 - 81*l**2. What is o in d(o) = 0?
1, 11
Solve -69577*i + 22 + 7*i**2 + 69519*i - 6 = 0 for i.
2/7, 8
Let f = -59 - -63. Suppose -k - 3*k**2 + 2 + 2575*k**3 - 2574*k**3 + 0*k**4 + k**f = 0. Calculate k.
-2, -1, 1
Suppose -2*p - 6 + 2 = -2*n, n - 3*p - 2 = 0. Let s be (315/(-56) - -6)/(1/n). Factor -1/2 - s*f + 5/4*f**2.
(f - 1)*(5*f + 2)/4
Let h(s) be the first derivative of -s**6/3 + 42*s**5/5 - 99*s**4/2 - 242*s**3/3 + 139. Find i, given that h(i) = 0.
-1, 0, 11
Let w(g) be the first derivative of 34 - g**2 - 2/27*g**3 - 16/9*g. Suppose w(p) = 0. Calculate p.
-8, -1
Let p = 352/201 + -28/67. Determine g so that -4/3*g**3 - p*g + 0 + 8/3*g**2 = 0.
0