b. Let v(l) = 2*o(l) - r(l). Factor v(m).
m*(m - 7)*(m - 2)**2
Let s = -145136563/478236955 - 29/203939. Let d = -6/335 - s. Find c, given that 1/7*c**3 + 6/7 - 5/7*c - d*c**2 = 0.
-2, 1, 3
Determine r, given that -5755*r**2 - 2125 - 1523 - 2849*r - 12156*r - 2097 + 3510*r - 5*r**3 = 0.
-1149, -1
Let l(o) be the first derivative of o**4/6 + 862*o**3/3 + 139105*o**2 - 837218*o/3 + 2409. Factor l(b).
2*(b - 1)*(b + 647)**2/3
Let h be ((-2)/91)/(14520/(-847)). Let l(n) be the third derivative of 0*n + 1/390*n**5 + 0*n**4 - h*n**6 + 11*n**2 + 0 + 0*n**3. Let l(b) = 0. Calculate b.
0, 1
Let j(q) be the second derivative of -q**6/72 + q**5/4 + 35*q**4/24 + 95*q**3/3 - 43*q. Let a(f) be the second derivative of j(f). Find p, given that a(p) = 0.
-1, 7
Let c(r) be the second derivative of r**4/12 + 5*r**3/6 + 3*r**2 - 31*r. Let h be c(5). Factor -4*o**2 + 71 - 107 - h + 64*o - 164.
-4*(o - 8)**2
Let g be 4108/20 + 22/(-55). Factor -13*b + 149 + 65*b - g + 4*b**2.
4*(b - 1)*(b + 14)
Let s(u) = -2*u**3 - 90*u**2 - 65*u - 141. Let i be s(-44). Let b = i + 1155. Find x such that 12/5 + 4/5*x**b + 16/5*x = 0.
-3, -1
Let f(r) be the first derivative of -1/42*r**4 - 3*r**2 - r - 39 + 0*r**3 - 169/840*r**6 + 13/105*r**5. Let o(v) be the second derivative of f(v). Factor o(a).
-a*(13*a - 2)**2/7
Let w(k) be the first derivative of -2/3*k**2 - 1/9*k**3 + 0*k - 46 + 1/15*k**5 + 1/3*k**4. Factor w(y).
y*(y - 1)*(y + 1)*(y + 4)/3
Let d(y) be the second derivative of -33*y**5/70 - 83*y**4/3 - 239*y**3/21 + 30*y**2 - 115*y + 1. Find r such that d(r) = 0.
-35, -6/11, 1/3
Let v(n) be the third derivative of -3/20*n**5 + 1/210*n**7 + 0 + 1/40*n**6 + 132*n**2 - 2*n + 5/24*n**4 + 0*n**3. Solve v(c) = 0.
-5, 0, 1
Let i(p) = -7*p**3 - 12*p**2 - 45*p - 93. Let r(m) = -2*m**3 - 13. Let o(u) = -i(u) + 3*r(u). Factor o(n).
(n + 3)**2*(n + 6)
Let l = -86884 - -86884. Find x such that l - 1/2*x - 1/6*x**3 + 2/3*x**2 = 0.
0, 1, 3
Suppose -4156/3*y + 2 + 2159042/9*y**2 = 0. What is y?
3/1039
Let f = 1/6024 - -4984859/6024. Let q = f + -827. Let -1/4*n**2 + q + 1/4*n = 0. Calculate n.
-1, 2
Let p(a) be the second derivative of -a**4/6 + 154*a**3 - 53361*a**2 + 2*a - 207. Factor p(g).
-2*(g - 231)**2
Let d be 6 + -5 + (-258)/14. Let t = d - -18. Solve -t*f - 2*f**4 + 0 + 19/7*f**3 + 3/7*f**5 - 4/7*f**2 = 0 for f.
-1/3, 0, 1, 2
Let n(w) be the second derivative of 143*w + 0 + 3/5*w**5 - 7/3*w**3 + 2/3*w**6 - 14/3*w**4 + 1/21*w**7 + 18*w**2. Find t, given that n(t) = 0.
-9, -2, -1, 1
Let l(a) = 7*a**3 - 4*a**2 - 34*a - 23. Let m = -110 + 105. Let f(q) = -4*q**3 + q**2 + 17*q + 12. Let d(o) = m*f(o) - 3*l(o). Solve d(w) = 0.
-1, 9
Factor -15/2*c + 3/4*c**3 - 9/4*c**2 + 18.
3*(c - 4)*(c - 2)*(c + 3)/4
Let u = 229 + -226. Suppose -19 = -3*b - 4. Factor 370*x**2 - 5*x**5 + 2*x**u - 365*x**2 - b*x**4 + 3*x**3.
-5*x**2*(x - 1)*(x + 1)**2
Suppose 17 - 7 = 5*k. Let x be -3 + k/(2/13). Factor 62*c**4 - 22*c**4 + 3*c**5 + 7*c**5 + 6*c**5 + c + 33*c**3 + x*c**2.
c*(c + 1)**2*(4*c + 1)**2
Let g(c) be the third derivative of -c**8/168 - 86*c**7/105 - 17*c**6/12 - 727*c**2. Let g(h) = 0. Calculate h.
-85, -1, 0
Suppose 7*x - 42 = 98. Let y = -18 + x. Factor -w**2 + 13 - 77 - 21*w - 3*w**y - 11*w.
-4*(w + 4)**2
Factor 21 - 46*m + 204/7*m**2 - 30/7*m**3 + 1/7*m**4.
(m - 21)*(m - 7)*(m - 1)**2/7
Factor 153/5*v + 54 - 3/5*v**3 + 12/5*v**2.
-3*(v - 10)*(v + 3)**2/5
Let m(q) = q**2 + 10*q - 30. Let f be m(-13). Let k be (54/120)/(f/60*4). Determine g so that 0*g + 2*g**3 + g**2 + 0 + 1/4*g**4 - k*g**5 = 0.
-1, -2/3, 0, 2
Let w(r) = r**4 + r + 1. Let j(o) = -6*o**4 - 54*o**3 + 189*o**2 - 15*o - 255. Let y(x) = j(x) + 3*w(x). Let y(t) = 0. What is t?
-21, -1, 2
Factor -2/3*w**2 - 290/3 + 68/3*w.
-2*(w - 29)*(w - 5)/3
Suppose 7*c - 2*c = -10, -k + 5*c + 19 = 0. Determine d, given that 3*d**3 - 32 - 22 + 39*d**2 + 3*d**4 - k*d - 12*d**3 + 30*d**3 = 0.
-3, -2, 1
Factor 12*z - 1/5*z**3 - 4/5*z**2 + 0.
-z*(z - 6)*(z + 10)/5
Suppose -87*c**3 - 29*c**2 + 122*c**4 - 57*c - 52*c**4 + 102 - 103*c**2 - 64*c**4 - 120*c**2 = 0. What is c?
-2, -1, 1/2, 17
Suppose -2*h + 5*s = 3 - 72, 0 = -3*h - 4*s + 69. Suppose -150 = -h*j - 96. Factor -12/7*o - 72/7*o**j - 9*o**3 + 21*o**4 + 0.
3*o*(o - 1)*(7*o + 2)**2/7
Suppose 0 = 1093*c - 571 - 1615. Factor 15*n + 25/4*n**c + 5.
5*(n + 2)*(5*n + 2)/4
Let i(x) = -x**3 + 6*x**2 + x - 3. Suppose -3*j + 5*f = 7, j - 14 = -3*j + 2*f. Let w be i(j). Let -16*q**w + 0*q**2 + 3*q**2 + 19*q**3 = 0. Calculate q.
-1, 0
Let f(s) be the first derivative of s**5/20 - 93*s**4/8 + 123*s**3/4 - 23*s**2 + 4500. Factor f(w).
w*(w - 184)*(w - 1)**2/4
Let b(u) be the first derivative of -3*u**5/10 - 87*u**4/4 - 504*u**3 - 5280*u**2 - 26112*u - 950. Suppose b(j) = 0. What is j?
-34, -8
Suppose -g - 6 = r, -5*g = 4*r - 60 + 82. Factor 343 + 1/7*d**g + 14*d.
(d + 49)**2/7
Let g = -6192 - -6197. Factor -2/5*w**4 + 0*w + 0 - 2/5*w**g + 2/5*w**2 + 2/5*w**3.
-2*w**2*(w - 1)*(w + 1)**2/5
Let j(m) be the first derivative of m**4/4 + m**3/2 - 18*m**2 + 116*m - 90. Let k(i) be the first derivative of j(i). Factor k(o).
3*(o - 3)*(o + 4)
Let b = 251/22 + -109/11. Let g be (-27)/(-24)*20/15. Let -b*r**2 - r + g*r**4 + 0 + r**3 = 0. What is r?
-1, -2/3, 0, 1
Let o(t) be the second derivative of -8*t**6/135 + t**5/3 - 7*t**4/54 - 4*t**3/3 + t**2 - 1966*t. Suppose o(g) = 0. What is g?
-1, 1/4, 3/2, 3
Let f(c) be the second derivative of 327*c**5/80 + 215*c**4/48 - c**3/12 + 6490*c. Factor f(g).
g*(3*g + 2)*(109*g - 1)/4
Let v(p) = p**3 - 7*p**2 - 3*p + 6. Let c be v(7). Let k be (40/c)/(-4) + 6. Solve 8*g**4 + 0 + 8/9*g - k*g**3 - 4/9*g**2 = 0.
-1/3, 0, 1/2, 2/3
Let g(x) = x**3 - 158*x**2 + 1883*x + 292. Let y be g(145). Solve 4/5*k + 2/5 + 2/5*k**y = 0.
-1
Let h(n) be the second derivative of -n**3/6 + 3*n**2 + 266*n. Let l be h(6). Factor 2/7*j**4 - 2/7*j**3 + 8/7*j + l - 8/7*j**2.
2*j*(j - 2)*(j - 1)*(j + 2)/7
Let i(j) be the first derivative of -6*j**5/5 + j**4 + 730*j**3/3 - 1288*j**2 - 4704*j - 3575. Suppose i(p) = 0. What is p?
-12, -4/3, 7
Let z(h) be the first derivative of 10/21*h**3 - 23 + 6/7*h**2 - 1/14*h**4 + 0*h. Factor z(q).
-2*q*(q - 6)*(q + 1)/7
Let w(s) be the second derivative of -3*s**5/140 - 6*s**4/7 - 3*s**3/2 + 69*s**2/7 + 35*s - 6. Solve w(m) = 0.
-23, -2, 1
Factor -2/7*k**2 - 394/7*k - 1544/7.
-2*(k + 4)*(k + 193)/7
Suppose -7*s**4 - 23/2*s**3 - 3*s**2 + 0 + 0*s + 3/2*s**5 = 0. Calculate s.
-1, -1/3, 0, 6
Let n(v) be the third derivative of -v**6/420 + 11*v**5/140 + 53*v**4/168 + 3*v**3/7 - 53*v**2 - 2*v - 6. Suppose n(k) = 0. Calculate k.
-1, -1/2, 18
Let t(h) = h**2 + 24. Let x = 9 - 8. Let w(l) = -1 - 2*l + l + 1 - x. Let p(j) = 3*t(j) + 24*w(j). Factor p(b).
3*(b - 4)**2
Let w(p) be the third derivative of 0*p + 2*p**3 + 4*p**2 - 1/40*p**5 + 1/240*p**6 + 20 - 11/24*p**4. Factor w(v).
(v - 6)*(v - 1)*(v + 4)/2
Let d = -272645 + 1090595/4. Factor 33 - 84*q + d*q**2.
3*(q - 22)*(5*q - 2)/4
Let i(j) = -27*j**3 + 4*j**2 + 3*j. Let x be 21/7 - (-12)/(-3). Let v be i(x). Factor h + 25*h**2 + h**3 + h - v*h**2.
h*(h - 2)*(h - 1)
Let a(r) be the third derivative of -r**5/15 - 2386*r**4/3 - 11385992*r**3/3 - 6*r**2 - 2*r - 48. Factor a(m).
-4*(m + 2386)**2
Let s(a) be the first derivative of a**6/27 - 4*a**5/15 + a**4/18 + 16*a**3/9 - 20*a**2/9 + 721. Let s(t) = 0. What is t?
-2, 0, 1, 2, 5
Let -724*b + 119*b - 665*b + 5*b**2 - 896*b - 1929*b = 0. Calculate b.
0, 819
Let c = -587 - -587. Suppose 5*i - 11*v = -7*v + 16, -v - 4 = c. Factor -2/3*h + 0*h**4 + 4/3*h**3 + i*h**2 + 0 - 2/3*h**5.
-2*h*(h - 1)**2*(h + 1)**2/3
Let r(v) = 2*v**3 + 15*v**2 + 9*v + 18. Let w be r(-7). Let l be 3/w - (-21)/(-60). Determine g so that -1/5*g**5 + 0 + 0*g**2 - l*g**3 + 0*g - 3/5*g**4 = 0.
-2, -1, 0
Determine n, given that 9*n**3 + 136/9*n**4 + 20/3*n**5 - 8/9*n**2 - 5/3*n - 2/9 = 0.
-1, -1/2, -1/6, 2/5
Factor 159694*r - 79861*r - 30 - 79868*r + 25*r**2.
5*(r - 2)*(5*r + 3)
Let r(y) be the third derivative of -87131*y**5/30 + 89*y**4/3 - 4*y**3/33 - 328*y**2. Factor r(x).
-2*(979*x - 2)**2/11
Let v be (-2 + (-2 - -4))*(-5)/10. Suppose -4 = -z - v*z. Suppose -8*n**2 - 51 + 51 + 4*n**z + 4*n**3 = 0. Calculate n.
-2, 0, 1
Suppose y = l - 6, 10*y - 7*y + 3*l = -42. Let r be (-6 - y) + 25/(-10). Factor 6*z + r*z**2 +