*g**3 + 13. Factor n(x).
(x + 1)*(x + 2)/5
Let j = -49726/3 - -16612. Find w, given that 5/6*w**4 + 73205/6 - j*w**3 + 605*w**2 - 13310/3*w = 0.
11
Let u(s) be the third derivative of s**7/1575 - 3*s**6/50 + 673*s**5/450 + 42*s**4/5 + 784*s**3/45 + 70*s**2. Factor u(n).
2*(n - 28)**2*(n + 1)**2/15
Let b(u) = 5*u - 1. Let i(w) = -w**2 + 19*w + 3. Let m(t) = 3*b(t) + i(t). Factor m(k).
-k*(k - 34)
Let t = 1264/9 - 862/9. Let l = t - 44. Suppose -10/3*m**2 + 4*m - l = 0. Calculate m.
1/5, 1
Let j be ((-4)/(-3))/(16/120). Suppose -4*a + j*a - 24 = 0. Factor 8*d - 4 + 4*d**a + 2*d**3 - 17*d**3 + 7*d**3.
4*(d - 1)**3*(d + 1)
Suppose 5*d - 3*d - 8 = 2*r, 2*d = -3*r + 8. Let v(l) be the third derivative of 0*l**3 + 1/120*l**6 + 0*l + 0 + 0*l**d + 12*l**2 - 1/60*l**5. Factor v(t).
t**2*(t - 1)
Factor 78/5 + 2/5*m**2 - 16*m.
2*(m - 39)*(m - 1)/5
Let o(q) = 2*q + 18. Let i be o(-9). Let g(b) = b**3 - b. Let w be g(1). Factor 0*z**4 + w + 0*z**2 + 0*z + i*z**3 - 3/5*z**5.
-3*z**5/5
Let s(h) be the third derivative of 38*h**2 - 1/120*h**5 - 3/16*h**4 + 0*h + 0*h**3 + 0. Factor s(z).
-z*(z + 9)/2
Let m(z) = -15*z**3 + 215*z**2 - 505*z + 295. Let i(o) = -2*o**3 + 27*o**2 - 63*o + 37. Let n = -69 + 66. Let k(d) = n*m(d) + 25*i(d). What is r in k(r) = 0?
2
Let v = -1/204 - -415/1428. Solve -10/7*z**3 - 18/7*z**2 - v*z**4 - 4/7 - 2*z = 0.
-2, -1
Let z(j) = 2*j**3 + 1. Let v be z(1). Suppose 0*b + b = v. Find r such that -3*r**2 + b*r**3 + 7*r**2 + 0*r**3 + r = 0.
-1, -1/3, 0
Find c, given that -39/2*c**2 + 37/2*c + 1/2*c**4 - 37/2*c**3 + 19 = 0.
-1, 1, 38
What is o in 220/7 + 2/7*o**2 + 114/7*o = 0?
-55, -2
Suppose -3*t + 182*r - 184*r + 94 = 0, 5*t - 2*r = 146. Suppose -171/8*v**4 + 27/8*v**5 - 6 + t*v - 57*v**2 + 51*v**3 = 0. Calculate v.
2/3, 1, 2
Factor -3/7*r**2 - 48/7*r - 12.
-3*(r + 2)*(r + 14)/7
Let q(t) be the second derivative of t**7/98 + 19*t**6/70 + 207*t**5/70 + 235*t**4/14 + 725*t**3/14 + 1125*t**2/14 - 229*t. Factor q(r).
3*(r + 1)*(r + 3)*(r + 5)**3/7
Let h(q) = 2*q**2 - 2*q + 1. Let j be h(2). Find m such that -m**j - m**4 + m**2 + 5*m**5 + m**3 + 0*m**5 - 5*m**5 = 0.
-1, 0, 1
Factor -19*i**2 - i**4 - 12*i**3 - 15*i**2 - 40*i**3 + 52*i + 0*i**4 + 35*i**2.
-i*(i - 1)*(i + 1)*(i + 52)
Let x(j) be the third derivative of 0*j**3 + 0*j**5 + 14*j**2 - 2 + 1/336*j**8 + 1/6*j**4 - 1/24*j**6 + 0*j + 0*j**7. Let x(p) = 0. What is p?
-2, -1, 0, 1, 2
Let w be 10*(-9)/(-6) - 0. Let j be 1/3 + w/9. Factor 2*b + b - 7*b + 2*b**j + 2*b.
2*b*(b - 1)
Suppose 7*v - 5*v = 2*c - 6, 0 = -4*c + 5*v + 15. Suppose -6*p + 13 - 1 = c. Determine k so that 0*k**p + 2/5 - 2/5*k**4 + 4/5*k**3 - 4/5*k = 0.
-1, 1
Let g = 362 - 362. Let l(a) be the third derivative of g*a**3 + 0 - 1/24*a**4 - 1/210*a**7 - 1/20*a**5 - 3*a**2 + 0*a - 1/40*a**6. Factor l(m).
-m*(m + 1)**3
Let p(h) be the first derivative of h**6/72 - h**5/24 + 11*h**3/3 + 13. Let v(i) be the third derivative of p(i). Factor v(c).
5*c*(c - 1)
Let d be (-3 + 0)/((-75)/10). Let -d*z**4 + 0*z**2 + 2/5*z**3 + 0*z + 0 = 0. What is z?
0, 1
Suppose 82*f = 84*f + 88. Let g = f + 46. Factor -1/4*w**4 - w**3 - 1/2*w - 5/4*w**g + 0.
-w*(w + 1)**2*(w + 2)/4
Let r(y) = 22*y**3 + 544*y**2 + 16*y + 32. Let f(j) = 7*j**3 + 181*j**2 + 5*j + 10. Let k(d) = -16*f(d) + 5*r(d). Factor k(o).
-2*o**2*(o + 88)
Suppose -17651 = -3*f + 5*n + 2893, -20556 = -3*f + n. Let -10*p**3 - f + 6853 + 8*p**4 + 4*p**2 - 2*p**5 = 0. Calculate p.
0, 1, 2
Let b = -8 - -16. Suppose 4*y - b + 0 = 0. Factor 0*i**2 + 3*i - 3*i + i**3 + i**y.
i**2*(i + 1)
Let j(d) be the first derivative of -3*d**4/16 + 2*d**3 - 21*d**2/8 - 349. Factor j(l).
-3*l*(l - 7)*(l - 1)/4
Let o = 213/2 - 1277/12. Let a(d) be the first derivative of 9 + 0*d**2 + 1/4*d - o*d**3. Factor a(h).
-(h - 1)*(h + 1)/4
Suppose 6 + 2 = 2*w, -5*b - 4*w = -16. Let s = b - -2. Factor 1 + 4*t**s - 1 - 2 - 2*t**2.
2*(t - 1)*(t + 1)
Let f(r) = -10*r**3 + 374*r**2 - 23814*r + 500094. Let h(s) = 12*s**3 - 373*s**2 + 23814*s - 500094. Let y(i) = -5*f(i) - 4*h(i). Factor y(m).
2*(m - 63)**3
Let p(y) = y**3 + 44*y**2 + 87*y + 129. Let o be p(-42). Factor -6 + 1/2*b**o + 1/2*b**2 - 4*b.
(b - 3)*(b + 2)**2/2
Determine y so that -2*y**2 - 1/7*y**3 + 128/7 - 32/7*y = 0.
-8, 2
Let t(o) = 14*o - 570. Let g be t(41). Factor -22/15*h - 12*h**3 + 92/15*h**2 - 18/5*h**5 + 2/15 + 54/5*h**g.
-2*(h - 1)**2*(3*h - 1)**3/15
Let o(b) = -2*b**2 - 15*b + 54. Let k be o(6). Let f = -323/3 - k. Factor 0 - 1/3*z**2 + 1/3*z**3 + f*z**4 - 1/3*z.
z*(z - 1)*(z + 1)**2/3
Factor i**3 - 75*i + 620506*i**2 - 620407*i**2 - 25*i.
i*(i - 1)*(i + 100)
Let c(f) be the third derivative of f**5/210 - 19*f**4/42 + 439*f**2. Factor c(h).
2*h*(h - 38)/7
Let p be (-93)/(-7) + (-915 - -904). Factor 9/7*a**4 + 0 + 3*a**3 + 4/7*a + p*a**2.
a*(a + 1)*(3*a + 2)**2/7
Suppose -440*y = -44*y. Solve 2/7*u**2 - 10/21*u**3 + 0*u + y = 0.
0, 3/5
Let f(o) be the second derivative of -o**4/6 - 24*o**3 - 35*o. Determine n so that f(n) = 0.
-72, 0
Suppose -m + 1 + 2 = 0. Find r such that 4*r - r + 5*r**m + 6*r**2 + 6*r**4 - 2 - 18*r**3 = 0.
-1/2, 2/3, 1
Suppose -3*q = r - 20, 2*q + 2*r - 20 = -0*q. Factor -5*l**5 + 48*l**2 - 5*l**3 - 103*l**2 + 10*l**q - 60*l - 20 + 15*l**4.
5*(l - 2)*(l + 1)**3*(l + 2)
Let q(x) be the first derivative of -2*x**5/15 + x**4/6 + 4*x**3/9 - 2. Suppose q(o) = 0. Calculate o.
-1, 0, 2
Let s(r) be the second derivative of -r**7/14 - r**6/10 + 3*r**5/4 + r**4/4 - 4*r**3 + 6*r**2 - 107*r + 1. Find n, given that s(n) = 0.
-2, 1
Let m(a) be the first derivative of -a**6/60 + a**5/16 - 5*a**3/24 + a**2/4 + 7*a + 13. Let k(i) be the first derivative of m(i). Suppose k(o) = 0. What is o?
-1, 1/2, 1, 2
Suppose -485 = 9*u - 485. Let b(a) be the third derivative of 0 + 9*a**2 + 1/3*a**5 + 4/3*a**3 + 7/6*a**4 + u*a. Suppose b(y) = 0. What is y?
-1, -2/5
Let m(n) = n**3 + 8*n**2 + 13*n - 5. Let h be m(-6). Let o = 14 + h. Factor -12*y + 0*y**3 + 6*y**2 - 15*y**o + 18*y**2 + y**4 + 2*y**4.
3*y*(y - 2)**2*(y - 1)
Let u(o) be the first derivative of -1/15*o**5 + 9 + 2/3*o**2 - 11/9*o**3 + 3/4*o**4 + 0*o - 1/18*o**6. Solve u(k) = 0.
-4, 0, 1
Let b = 178 - 2135/12. Let o(v) be the second derivative of 1/120*v**5 - 4*v + b*v**3 - 1/24*v**4 - 1/12*v**2 + 0. Determine a so that o(a) = 0.
1
Let p(a) be the third derivative of -a**5/240 + 7*a**4/96 + 3*a**3/4 - 92*a**2 + 1. Determine o so that p(o) = 0.
-2, 9
Let i = -135 - -245. Let l = -549/5 + i. Factor 0 - l*a**2 + 0*a + 1/5*a**3.
a**2*(a - 1)/5
Let u(w) be the third derivative of w**8/13440 - w**7/3360 - w**6/80 - 3*w**5/20 - 10*w**2. Let d(f) be the third derivative of u(f). Factor d(q).
3*(q - 3)*(q + 2)/2
Suppose -113*a - 58 = -115*a. Suppose -14 = -36*r + a*r. Let -1/2*t**r + 0*t + 1/2 = 0. Calculate t.
-1, 1
Let i be ((-1)/8)/(10 - (-671)/(-66)). Let b(h) be the first derivative of 1/2*h**3 - i*h**2 + 5 - 3/2*h + 3/8*h**4. Factor b(p).
3*(p - 1)*(p + 1)**2/2
Factor 240*l**2 + 288*l - 20*l**4 - 10*l**4 + 34*l**4 - 25*l**3 + 81*l**3.
4*l*(l + 2)*(l + 6)**2
Determine b, given that 711 - 711 - 2*b**2 = 0.
0
Determine n so that 0 + 49/4*n**5 - 11*n**2 + 2*n + 119/4*n**4 + 9/2*n**3 = 0.
-2, -1, 0, 2/7
Let y(n) be the third derivative of -n**6/1080 - n**5/180 + n**4/24 + n**3/6 - 9*n**2. Let v(u) be the first derivative of y(u). Let v(b) = 0. What is b?
-3, 1
Let s = -25 + 36. Solve 7*j - s*j + 20 - 36*j - 25*j**2 = 0.
-2, 2/5
Let t be (3/6 - 1)*-12. Factor 0*m**2 - 24*m**2 + t - 4*m**2 - 12*m**3 + 10.
-4*(m + 1)*(m + 2)*(3*m - 2)
Let z(a) = -a**4 - 5*a**3 - 14*a**2 - 4*a + 8. Suppose u = 5*n + 60, -3*u + 7*u + n - 156 = 0. Let y(b) = -b**2 - b. Let h(v) = u*y(v) - 5*z(v). Factor h(t).
5*(t - 1)*(t + 2)**3
Let j(w) be the first derivative of 0*w - 1/3*w**2 - 2/9*w**3 - 8. Factor j(v).
-2*v*(v + 1)/3
Let q(f) be the first derivative of 2*f**2 + 4*f + 1/3*f**3 + 7. Suppose q(z) = 0. What is z?
-2
Factor 2*f**2 - 163 + 81 - 6*f + 86.
2*(f - 2)*(f - 1)
Factor -3 + 3*m**2 - 9 + 25*m + m**2 - 33*m.
4*(m - 3)*(m + 1)
Let o be (-1 - -1 - 0)/(167 - 171). Factor o + 2/9*w**2 + 0*w - 2/9*w**3.
-2*w**2*(w - 1)/9
Let n(p) be the second derivative of -p**5/25 + p**4/5 + 6*p**3/5 + 2*p**2 + 52*p. Suppose n(s) = 0. Calculate s.
-1, 5
Let z = -11423 + 11426. Let 0*c - 8*c**2 + 0 - 4*c**z - 1/2*c**4 = 0. What is c