tive of b**5/330 + 7*b**4/22 - 45*b**3/11 + 6200*b**2. Factor h(o).
2*(o - 3)*(o + 45)/11
Factor 8/9*q**2 + 10*q**3 + 0*q + 0.
2*q**2*(45*q + 4)/9
Let p be (-3)/(-4)*(-100)/(-225) - 0. Let v(l) be the second derivative of 0 + p*l**4 + 1/10*l**5 + 14*l + 1/3*l**3 + 0*l**2. Factor v(m).
2*m*(m + 1)**2
Let y(m) = -437*m - 437. Let g be y(-1). Let k(i) be the third derivative of 25*i**2 + 0 - 1/8*i**4 - 1/20*i**5 + g*i + 3*i**3. Solve k(c) = 0.
-3, 2
Let c = 23333 - 23330. Let z(d) be the first derivative of 0*d - 1/6*d**c + 50 + 0*d**2 + 1/24*d**4. Solve z(l) = 0 for l.
0, 3
Let f(u) be the second derivative of -5*u**7/12 - 27*u**6/20 - u**5/20 + 3*u**4/2 - 2*u**3/3 + 3658*u. Let f(r) = 0. Calculate r.
-2, -1, 0, 2/7, 2/5
Suppose 6*s + 4 = -2*c + 10*s, s = -c + 7. Let w(q) = -4*q**2 + 16*q + 2. Let y be w(c). Factor 1/2*r**y - 1/2*r**4 + 1/2*r**3 + 0 - 1/2*r**5 + 0*r.
-r**2*(r - 1)*(r + 1)**2/2
Let u(t) = -8*t + 8. Suppose 2*s - 2 = 2*n, 2*s + 5 - 4 = 5*n. Let i(r) = -54 + 54 + r**2. Let o(c) = s*i(c) + u(c). Factor o(d).
2*(d - 2)**2
Suppose 12*r - 30 = 6. Factor 16*g**2 - 3*g**r + 6*g**3 + g**3 + 20*g + 8.
4*(g + 1)**2*(g + 2)
Suppose j + 60 = 4*x + 2*j, 0 = -4*x + 3*j + 44. Let w(h) = 12*h**2 + 32*h + 27. Let l(f) = -5*f**2 - 16*f - 14. Let k(v) = x*l(v) + 6*w(v). Factor k(y).
2*(y - 17)*(y + 1)
Suppose -39*v = 2485966 - 2486083. Factor 75/4*b + 135/2*b**2 + 183/4*b**3 + v*b**5 - 27*b**4 + 0.
3*b*(b - 5)**2*(2*b + 1)**2/4
Determine m so that 0 - 90*m**2 - 1/4*m**4 - 39/4*m**3 + 100*m = 0.
-20, 0, 1
Let r = 1664/1267 + -5/181. Determine v so that -r*v**3 + 12/7 + 9/7*v + 3/7*v**4 - 15/7*v**2 = 0.
-1, 1, 4
Let c(p) be the third derivative of -p**7/2520 + p**6/48 - 13*p**5/60 - p**4/3 + 98*p**2. Let v(y) be the second derivative of c(y). Factor v(i).
-(i - 13)*(i - 2)
Let x(y) be the second derivative of 1/64*y**4 + 5*y**2 + 1/160*y**5 + 0 - 20*y + 0*y**3. Let f(h) be the first derivative of x(h). Factor f(z).
3*z*(z + 1)/8
Let l be ((-8)/(-14))/((-15)/21 + 1). Find b, given that -6*b**2 + 9*b + 6*b**3 - 7*b**3 + l*b**3 = 0.
0, 3
Let x(z) be the second derivative of -z**6/210 - 9*z**5/28 - 43*z**4/28 - 127*z**3/42 - 3*z**2 + 12*z + 37. Factor x(a).
-(a + 1)**3*(a + 42)/7
Let d = 28495/19971 - -5/2853. Solve 6/7*u**2 - d*u + 4/7 + 2/7*u**3 - 2/7*u**4 = 0 for u.
-2, 1
Suppose 135 - 221 = 4*h + 6*f, -5*h - 13 = 3*f. Solve -16*z + h - 38/5*z**2 - 4/5*z**3 = 0.
-5, 1/2
Let r = -66897 - -200695/3. Find s such that 4/3*s**2 + 4/9 - 4/9*s**3 - r*s = 0.
1
Let f(l) be the third derivative of l**5/12 + 205*l**4/8 + 1190*l**3/3 - 116*l**2 + 2*l - 5. Factor f(t).
5*(t + 4)*(t + 119)
Suppose 0 = -6*q + 2*x + 48, -4*q + 81 = -2*x + 41. Solve 2/5*h**3 - 1/10*h**5 + 1/5*h**q + 0 + 0*h - 4/5*h**2 = 0.
-2, 0, 2
Let u(z) be the second derivative of -z**5/50 + 89*z**4/30 - 48*z**3 + 5*z + 490. Factor u(w).
-2*w*(w - 80)*(w - 9)/5
Find n such that -493*n + 202*n + 4*n**2 + 111*n + 504 = 0.
3, 42
Let a be ((12/14)/(468/819))/(36/944). Factor -2*y**2 + 40/3 - a*y.
-2*(y + 20)*(3*y - 1)/3
Let c(o) be the first derivative of -o**5/30 + 7*o**4/24 + 41*o**3/9 + 53*o**2/3 + 28*o + 2690. Determine y so that c(y) = 0.
-3, -2, 14
Factor -47/3*s**2 - 11*s + 0 - 1/3*s**4 - 5*s**3.
-s*(s + 1)*(s + 3)*(s + 11)/3
Factor 14400/7 + 3360*w + 36/7*w**4 + 168*w**3 + 11044/7*w**2.
4*(w + 15)**2*(3*w + 4)**2/7
Let o(b) be the first derivative of -5*b**6/6 - 9*b**5 + 55*b**4/4 + 15*b**3 - 25*b**2 - 565. Let o(j) = 0. What is j?
-10, -1, 0, 1
Solve 138/7*z**2 + 2/7*z**3 + 3174/7*z + 24334/7 = 0 for z.
-23
Let b = 123560 - 864918/7. Solve 40/7 + b*j**2 - 6*j = 0.
1, 20
Let b be (2*(-6)/(-8))/(216 - 475422/2212). Factor -4/5*d + 0 - b*d**2.
-d*(7*d + 4)/5
Find d such that -274/5*d**3 + 12126/5*d**2 - 830584/5 + 2/5*d**4 - 30926*d = 0.
-4, 47
Let w be (-70)/91*(-5265)/540. Solve 0*n + 0*n**2 + 3/4*n**4 + 0 - w*n**3 = 0 for n.
0, 10
Suppose -2*r**3 - 45*r - r**3 - 21*r - 102*r**2 + 38*r**2 + 5*r**3 = 0. Calculate r.
-1, 0, 33
Let s(z) = 35*z**2 - 400*z - 15. Let c(x) = -5*x**2 + 57*x + 2. Suppose 6*h = 2*h - 3*g + 54, 4*h = 2*g + 64. Let o(m) = h*c(m) + 2*s(m). Factor o(t).
-5*t*(t - 11)
Let h be (-6)/(-9) + 1/3. Let c be (7/(-3 - -4))/h. Factor c*y - 2*y**3 - 10*y**2 - 2*y + 7*y**3.
5*y*(y - 1)**2
Let w(a) = -a**3 + a**2 + 4*a + 2. Let i be w(3). Let t be 9*(i/8)/(1/(-2)). Suppose t - 5*q**2 + 7 + 2 + 2*q**2 + 3*q = 0. Calculate q.
-2, 3
Suppose -2*h - 137 = 5*l, -3*h - 3*l - 240 = -7*l. Let w = h - -112. Factor -w - 108*d - 44/3*d**4 - 120*d**2 - 4/3*d**5 - 184/3*d**3.
-4*(d + 1)**2*(d + 3)**3/3
Suppose 171*m**2 + 13957*m - 6994*m - 6963*m + 3*m**3 = 0. Calculate m.
-57, 0
Let r(f) = f**3 + 27*f**2 - 66*f + 2. Let o(k) be the first derivative of -3*k**4/2 - 63*k**3 + 231*k**2 - 15*k + 112. Let g(y) = 2*o(y) + 15*r(y). Factor g(n).
3*n*(n - 2)*(n + 11)
Let b be -6*(-1)/(-1 + 3). Let y = 1184 - 1181. What is n in -28*n**3 - 27*n**b + 6*n**2 - 8 + 57*n**y = 0?
-2, 1
Let y(w) be the second derivative of -w**6/216 - w**5/2 - 45*w**4/2 - 56*w**3/3 - 2*w - 41. Let g(o) be the second derivative of y(o). Factor g(x).
-5*(x + 18)**2/3
Suppose -3*a - 28 = -x + 2*a, -3*a - 4 = x. Let n be (-4)/x*-2 - -3. Factor 12*c**4 - 3*c**5 + 7*c**4 - 3*c**n - 20*c + c**4 + 39*c**2 - 37*c**3 + 4.
-(c - 2)*(c - 1)**3*(3*c - 2)
Suppose -8*y = -12*y - 112. Let w be 6/(-4)*(-32)/y*-14. Factor 39 - 35 + 3*a**4 + 44 - w*a**2.
3*(a - 2)**2*(a + 2)**2
Let i be (-12 - -18)*(-2)/(-4). Factor 42*w**i + 135*w - 108 - 3*w**4 + 119*w - 2*w - 183*w**2.
-3*(w - 6)**2*(w - 1)**2
Let r(k) be the second derivative of -15*k**7/14 + 14*k**6 + 71*k**5/4 - 265*k**4/6 - 110*k**3/3 + 100*k**2 + 1930*k. Suppose r(u) = 0. Calculate u.
-1, 2/3, 10
Suppose -3*p = 2*p - 10. Let x be 6*p/6 - 0. Let 7*b**4 - x*b**4 - 3*b**4 - 2*b**2 = 0. What is b?
-1, 0, 1
Let r(k) be the third derivative of -k**8/20160 + k**7/2520 - 29*k**5/30 - 7*k**2 + 3*k. Let z(t) be the third derivative of r(t). What is c in z(c) = 0?
0, 2
Let r(h) be the second derivative of 2/9*h**3 + 21*h + 1/54*h**4 + 5/9*h**2 + 0. Factor r(b).
2*(b + 1)*(b + 5)/9
Let p(y) be the first derivative of y**4 + 152*y**3/3 + 610*y**2 + 2800*y + 2611. Factor p(v).
4*(v + 5)**2*(v + 28)
Let o be (432/(-228))/(447/(-1043)). Determine h so that o*h**4 + 0 - 122/19*h**3 - 18/19*h**5 - 8/19*h + 56/19*h**2 = 0.
0, 1/3, 2
Let b be 6 - (50/(-14) + 51/(-119)). Solve 3*c + 54*c**5 - 354*c**5 + 335*c**4 + 22*c - 264*c**2 + 275*c**3 + b - 81*c**2 = 0.
-1, -2/15, 1/4, 1
Let u = 548457 + -548452. Factor -1/2*v**3 - 1/3*v**4 + 2/3*v**2 + 0 + 1/6*v**u + 2/3*v.
v*(v - 2)**2*(v + 1)**2/6
Let y(v) = 70*v**4 - 650*v**3 + 16704*v**2 + 100920*v. Let s(a) = 44*a**4 - 434*a**3 + 11136*a**2 + 67280*a. Let i(c) = 8*s(c) - 5*y(c). Factor i(z).
2*z*(z - 58)**2*(z + 5)
Let a = 845 - 831. Let g be a/2 - (13 + 33/(-3)). Factor -1/2*t**4 + 1/2*t**2 + 1/2*t**g + 4*t + 2 - 5/2*t**3.
(t - 2)**2*(t + 1)**3/2
Let p = -107 + 108. Let x be (-2)/4*(-74 - -73). Factor 1/2*b**2 - p + x*b.
(b - 1)*(b + 2)/2
Let h(t) = -211*t - 4640. Let x be h(-22). Let y(o) be the second derivative of 0 - x*o + 4/5*o**2 + 1/5*o**3 - 1/30*o**4. Let y(w) = 0. What is w?
-1, 4
Let h(y) be the first derivative of -y**4/42 - 8*y**3/9 - 256*y**2/21 - 512*y/7 - 1022. Factor h(f).
-2*(f + 8)**2*(f + 12)/21
Let 2/11*u**2 + 226/11*u - 696/11 = 0. Calculate u.
-116, 3
Let r = -14 + 20. Let s = 8 - r. Factor 431 + 110*t + 174 + 4*t**2 - 4*t**2 + 5*t**s.
5*(t + 11)**2
Let d(t) be the first derivative of -t**5/10 + 21*t**4/4 + 29*t**3/2 + 11*t**2 - 1598. Factor d(n).
-n*(n - 44)*(n + 1)**2/2
Let y(c) be the second derivative of 2*c**4 - 8/3*c**3 + 0 + 0*c**2 + 1/15*c**6 - 3/5*c**5 - c. Factor y(v).
2*v*(v - 2)**3
Let n = 136 - 133. Find j such that 57*j**3 - 44*j + 41*j**3 + 4*j**2 - 4*j**4 - 54*j**n = 0.
-1, 0, 1, 11
Suppose 5*c - 24 = x, -3*x - 9 = c - 1. Factor -24 - 4*z**3 + 40*z + z**3 + 2*z**3 + 2*z**4 - 14*z**2 + c*z**3 - 7*z**3.
2*(z - 2)**2*(z - 1)*(z + 3)
Let h = -172494 - -172497. Factor 0 + 0*b + 20/11*b**4 + 0*b**2 + 6/11*b**h + 14/11*b**5.
2*b**3*(b + 1)*(7*b + 3)/11
Let k be 17/(-22)*(-3128)/13294. Factor 0 + 6/11*b - k*b**2.
-2*b*(b - 3)/11
Let b(h) = 1 - 44*h**2 + 1849*h + 1 - 60*h**2 - 1805*h. Let i(z) = 102*z**2 - 43*z - 1. Let j(v) = -3*b(v) 