 0 + 3/10*t**6. Factor i(l).
4*(l + 1)*(l + 2)*(9*l - 2)
Factor -45 - 51*b**2 - 101 - 71*b + 59*b**2 - 7*b**2.
(b - 73)*(b + 2)
Determine u, given that 2*u**2 + 140*u - 217*u - 4*u**2 + 70*u + 131*u + 256 = 0.
-2, 64
Let r(t) be the second derivative of -55/24*t**4 - 5*t**3 - 5*t**2 - 3/8*t**5 + t - 27. Factor r(l).
-5*(l + 1)*(l + 2)*(3*l + 2)/2
Solve -4*j**4 - 393*j**3 + 296*j**3 - 2281*j**3 - 401956*j**2 - 158*j**3 = 0 for j.
-317, 0
Let f(c) be the third derivative of 1/15*c**6 + 18*c**2 + 1/5*c**5 - 1/4*c**3 + 5 + 0*c + 5/48*c**4. Factor f(y).
(y + 1)*(4*y - 1)*(4*y + 3)/2
Let w(t) = 3*t**2 + t. Let m be w(-1). Let s = 122113 + -610549/5. Factor -8/5*r + 1/5*r**m + s.
(r - 4)**2/5
Suppose -53 = 2*u - 67. Suppose u*l + 4 = 18. Factor -3*g**3 - 37 - 81*g - 25*g**2 - l*g**2 - 44.
-3*(g + 3)**3
Let c(m) be the second derivative of -m**6/90 - m**5/10 - 11*m**3 - 42*m. Let z(q) be the second derivative of c(q). Factor z(w).
-4*w*(w + 3)
Factor -6336/5*h + 1728/5 + 5244/5*h**2 + 1058/5*h**3.
2*(h + 6)*(23*h - 12)**2/5
Suppose -4*b + 13 = 2*l + 23, 5*l - 2*b - 35 = 0. Let g(t) be the second derivative of -6*t + t**2 + 5/18*t**4 - 1/30*t**l - 7/9*t**3 + 0. Factor g(n).
-2*(n - 3)*(n - 1)**2/3
Let v = -86 + 94. Suppose 5*u + 8 = -2*o, 5*u = -6*o + v*o + 8. Let u + 0*h + 1/5*h**3 - 8/5*h**2 = 0. What is h?
0, 8
Let v(f) be the second derivative of f**4/78 + 2074*f**3/39 + 1075369*f**2/13 - 5577*f. Factor v(r).
2*(r + 1037)**2/13
Let r = 8512 - 8510. Let c(a) be the third derivative of -1/156*a**4 + 2/39*a**3 + 19*a**r - 14/195*a**5 + 0 + 0*a. Factor c(h).
-2*(4*h - 1)*(7*h + 2)/13
Let i(w) = -w**2 - 35*w - 148. Let g be i(-5). Factor 29*d + 3*d - 16*d**2 + g*d**2 - 6*d**2 + 4*d**4 - 4*d**2 - 12.
4*(d - 1)**3*(d + 3)
Let v(i) be the second derivative of -i**5/4 + 25*i**4/2 + 160*i**3/3 - 6*i + 42. Find f, given that v(f) = 0.
-2, 0, 32
Let h be -6 - (-27)/(405/(-30))*(-2 - 1). Solve -9/2*o + 21/4*o**2 + h + 1/4*o**4 - 2*o**3 = 0.
0, 2, 3
Let f(d) = -2*d**2 + 33*d + 18. Let c be f(17). Let b be (6/4 - c)*20*1. Determine o so that b*o**2 + 8 - 31*o**2 - 84*o + 21*o**3 - 32 + 15*o**4 - 33*o**2 = 0.
-2, -1, -2/5, 2
Let u(b) be the second derivative of 40*b**7/21 - 3236*b**6/9 + 5347*b**5/12 + 485*b**4/2 - 2675*b**3/18 - 335*b**2/3 - 782*b. Solve u(f) = 0.
-1/4, 1/3, 1, 134
Suppose -2*g + 0*l - 10 + 26 = -3*l, l + 4 = 0. Determine u so that 8/3*u**g + 1/3 + 3*u = 0.
-1, -1/8
Let l(c) = 3*c - 1. Let j(r) = r**2 - 26*r - 23. Let h(b) = -2*j(b) - 2*l(b). Factor h(k).
-2*(k - 24)*(k + 1)
What is j in 5 - 9/4*j**2 - 1/4*j**3 + 3*j = 0?
-10, -1, 2
Suppose -90601/4 + 301/2*z - 1/4*z**2 = 0. Calculate z.
301
Let b = 580 + -579. Let a = 12 + 3. Factor a*y + 5*y**2 - 5*y + b - 16.
5*(y - 1)*(y + 3)
Let d(y) = y**2 + 24*y + 1. Let f be d(14). Let h = 3199/6 - f. Factor -1/6*r**5 + 1/3*r**3 + 1/6 + h*r**4 - 1/6*r - 1/3*r**2.
-(r - 1)**3*(r + 1)**2/6
Let c(m) be the first derivative of -m**5/5 - 13*m**4/4 - 4*m**3 - 3816. Factor c(w).
-w**2*(w + 1)*(w + 12)
Solve 0 - 10/9*g**4 + 64/3*g**2 + 56/9*g + 14*g**3 = 0.
-1, -2/5, 0, 14
Let p(i) = i**4 - i**2 + i - 1. Let f(x) = -10*x**3 - 19*x**3 + 3*x**2 - 3*x**4 + 6 - 10*x + 31*x**3 + 2*x**2. Let a(k) = 3*f(k) + 6*p(k). Solve a(v) = 0.
-2, 1, 2
Let z(s) be the third derivative of -s**8/252 + 23*s**7/315 - 13*s**6/36 + s**5/18 + 67*s**4/36 - 28*s**3/9 - 135*s**2 - 7. Solve z(p) = 0 for p.
-1, 1/2, 1, 4, 7
Let p be (-2)/(-14) + (-1924)/91. Let q be 1 + 15/p + 4030/7. Find g, given that -2*g**2 + 96*g - 4*g**2 - q - 2*g**2 + 4*g**2 = 0.
12
Let a(r) = r**3 - 13*r**2 + 5*r + 11. Let x be a(14). Suppose 287 + x = 6*v. Factor 13 + 21*p - v*p**2 + 91*p**2 + 11.
-3*(p - 8)*(p + 1)
Let p be (-30)/40*7158/135 + -5. Let o = p + 343/6. Suppose -34*m**4 + 10*m**5 + 6/5 + 12/5*m**3 + 164/5*m**2 - o*m = 0. Calculate m.
-1, 1/5, 1, 3
Let g = 155 - 113. Suppose 4*x = -5*c + g, 3*x = -3*c - 0*x + 24. Let -c*f + 154 - 2*f - 32*f + 88 + 2*f**2 = 0. Calculate f.
11
Let n(u) = -u. Suppose 14*i - 10 = 19*i. Let y be n(i). Factor 23*b - 3*b**2 + 4*b**3 + b - 25*b**y.
4*b*(b - 6)*(b - 1)
Solve 2/13*u**2 + 58/13*u - 504/13 = 0.
-36, 7
Let a = 6571 - 6565. Let r(c) be the third derivative of 0*c + 1/480*c**a + 7*c**2 + 1/96*c**4 + 0*c**3 + 1/120*c**5 + 0. Factor r(x).
x*(x + 1)**2/4
Let k(l) be the first derivative of 2*l**5/25 - 9*l**4/20 - 4*l**3/15 + 18*l**2/5 - 16*l/5 + 2026. Let k(p) = 0. Calculate p.
-2, 1/2, 2, 4
Let c(p) be the third derivative of -p**6/180 - 17*p**5/10 + 3117*p**2 - 2. Determine q, given that c(q) = 0.
-153, 0
Let f(j) be the second derivative of -j**6/30 - 63*j**5/20 - 90*j**4 + 288*j**3 + 62208*j**2 + 39*j + 1. Factor f(o).
-(o - 9)*(o + 24)**3
Let x(a) = -22*a**3 - 10*a**2 + 5788*a + 20. Let h(g) = 15*g**3 + 7*g**2 - 3858*g - 14. Let v(k) = -10*h(k) - 7*x(k). Factor v(t).
4*t*(t - 22)*(t + 22)
Suppose -3*u = -5*l + 13, -7*l - 23 = -2*u - 10*l. Let g = -155 + 1087/7. Suppose -1/7*j + 1/7*j**u + 1/7*j**3 - 3/7*j**2 + g = 0. What is j?
-2, -1, 1
Let w(v) be the third derivative of 5*v**8/672 - 25*v**7/168 + 37*v**6/32 - 97*v**5/24 + 10*v**4/3 + 20*v**3 - v**2 + v + 1191. Find x, given that w(x) = 0.
-1/2, 2, 3, 4
Let f(a) be the third derivative of 28*a**2 + 1/60*a**5 + 1/3*a**4 + 0 + 0*a + 8/3*a**3. Solve f(b) = 0 for b.
-4
Let o(u) = 2*u + 25. Let s be o(-11). Suppose -s*m + 1 = -11. Find x such that 48*x**3 - 84*x**2 + 12*x + 75*x**3 + 41*x**4 + 43*x**m = 0.
-2, 0, 1/4, 2/7
Let y(r) be the second derivative of r**6/150 + 49*r**5/25 + 3201*r**4/20 - 98*r**3/15 - 4802*r**2/5 + 2679*r. Factor y(w).
(w - 1)*(w + 1)*(w + 98)**2/5
Let i be 2 - 5 - -1269 - 1. Suppose -1016 = -4*v + 4*d, -5*v + 2*d + i = -2*d. Factor v - 3*r**4 - 36*r**3 - 138*r**2 - 180*r - 149 - 175.
-3*(r + 1)**2*(r + 5)**2
Let z(q) = -q**3 + q**2 + 9*q - 12. Let k be z(3). Let c be 9/k - (6 - 14). Factor 0*h**2 + c*h + 14*h**2 + 15*h - 6*h**2 - 12.
4*(h + 3)*(2*h - 1)
Suppose 68 + 21 = -2*w - z, 0 = -z - 5. Let q be 216/22 - w/231. Find y, given that 628*y**4 + 15*y**2 + 5*y + 10*y**3 - q*y**5 - 5*y**3 - 643*y**4 = 0.
-1, -1/2, 0, 1
Let x(b) be the third derivative of 3*b**6/100 + 17*b**5/200 - b**4/40 + 23*b**3/3 + b**2 - 74. Let h(v) be the first derivative of x(v). Factor h(l).
3*(l + 1)*(18*l - 1)/5
Solve -69/5*v - 3/5*v**3 - 33/5 - 39/5*v**2 = 0 for v.
-11, -1
Let i(y) be the third derivative of y**5/240 - 19*y**4/96 - 55*y**3/4 + 3*y**2 + y + 56. Factor i(w).
(w - 30)*(w + 11)/4
Suppose 0 = -6*u + 1370 - 3260. Let h be ((u/(-14))/3)/(3 - 1). Factor h*d + 3/4*d**2 + 3.
3*(d + 1)*(d + 4)/4
Let r(k) = -4*k**3 - 212*k**2 - 390*k + 592. Let u(n) = -13*n**3 - 641*n**2 - 1170*n + 1775. Let s(y) = -7*r(y) + 2*u(y). Factor s(c).
2*(c - 1)*(c + 3)*(c + 99)
Let p be (-31)/63*-75 - (-372)/868. Suppose 1568/3 + 2/3*n**2 - p*n = 0. Calculate n.
28
Find u such that 105*u**4 - 1343*u**2 + 4*u + 560*u**2 - 111*u**3 + 579*u**2 + 8*u = 0.
-1, 0, 2/35, 2
Let c(q) be the second derivative of -1/20*q**5 + 1/6*q**3 + 0 - 20*q - 1/4*q**2 + 1/24*q**4. Factor c(b).
-(b - 1)*(b + 1)*(2*b - 1)/2
Let m(q) be the second derivative of -1/165*q**6 + 0*q**5 - 1 - 1/11*q**2 + 0*q**3 + 1/33*q**4 - 12*q. Suppose m(z) = 0. What is z?
-1, 1
Let f(o) = -27*o**2 + 14814*o - 3705123. Let h(x) = -11*x**2 + 5924*x - 1482049. Let u(i) = 5*f(i) - 12*h(i). Let u(w) = 0. Calculate w.
497
Let s(z) be the second derivative of z**6/540 + 7*z**5/180 + 26*z**3 + z - 128. Let i(d) be the second derivative of s(d). Factor i(n).
2*n*(n + 7)/3
Let h(v) be the second derivative of v**4/8 + 70*v**3 - 843*v**2/4 - 4197*v. Let h(o) = 0. Calculate o.
-281, 1
Let w be ((-484)/(-8))/11*(-104)/(-286). Determine x so that 3*x**5 + 1/2 + x**3 - 4*x + 6*x**w - 13/2*x**4 = 0.
-1, 1/6, 1
Let f(g) = -g**3 + 31*g**2 - 64*g + 51. Let z(k) = 32*k**2 - 64*k + 52. Suppose 0 = h - 2*b - 6, -4*b = b + 25. Let i(p) = h*f(p) + 3*z(p). Factor i(x).
4*(x - 3)*(x - 2)**2
Let z(a) be the first derivative of a**5/20 - a**4/4 - 17*a**3/4 + 155*a**2/4 - 100*a + 465. Find u such that z(u) = 0.
-8, 2, 5
Let w(z) = -z**3 + 31*z**2 - z + 33. Let n be w(31). Solve -3*d**4 + 8*d**2 - 16 - 7*d + 7*d + 0*d**4 + n*d**4 = 0 for d.
-2, 2
Let i(p) = -p**3 - 5*p - 16. Let g be i(-2). Determine t so that 0 + t + 1/8*t**g = 0.
-8, 0
Factor -70*c**4