+ 0*o**2. Factor l(f).
-5*f**2*(f - 3)*(f + 1)**2
Let a be -11 - -2 - -4 - (-5270)/5. Find b, given that 1040*b + a*b + 25*b**2 - 2074*b - 10 = 0.
-1, 2/5
Let d(h) = -29*h**2 - 4292*h + 4. Let k be d(-148). Suppose -4/9*m**k + 0 + 0*m + 4/9*m**2 + 2/3*m**3 = 0. What is m?
-1/2, 0, 2
Let j(b) be the third derivative of 1/420*b**7 - 7/240*b**6 - 1/8*b**4 - 13/120*b**5 + 51*b**2 + 0*b**3 + 0 + 1/672*b**8 + 0*b. Factor j(g).
g*(g - 3)*(g + 1)**2*(g + 2)/2
Let a(h) be the first derivative of -9*h**4/20 + 15572*h**3/15 - 346*h**2 - 11455. Determine z so that a(z) = 0.
0, 2/9, 1730
Let b(i) be the first derivative of i**6/15 - 122*i**5/25 + 1197*i**4/10 - 882*i**3 - 18522*i**2/5 + 427. Factor b(a).
2*a*(a - 21)**3*(a + 2)/5
What is i in -140/3 - 2/9*i**2 + 94/9*i = 0?
5, 42
Let c = -81 + 85. Factor -c*u**2 - 676 - 68*u - 66*u - 21*u + 51*u.
-4*(u + 13)**2
Factor -179726*f + 179796*f - f**2 + 69 + 2*f**2.
(f + 1)*(f + 69)
Find r such that 0*r - 32/5*r**2 - 28944*r**4 - 4312/5*r**3 + 0 + 7290*r**5 = 0.
-2/135, 0, 4
Let s(q) be the first derivative of 3*q**4/4 - 34*q**3 + 279*q**2/2 - 1705. Factor s(h).
3*h*(h - 31)*(h - 3)
Factor 2/3*q**2 + 0 - 1958/3*q.
2*q*(q - 979)/3
Let v be (-3)/2*(-21)/(504/32). Let b be 663/1020 + v/20. Factor 1/4*w**2 - 1/2*w - b.
(w - 3)*(w + 1)/4
Determine j so that -8*j**2 - 37*j + 136/3 - 1/3*j**3 = 0.
-17, -8, 1
Solve -9/4*x**3 + 3/8*x**4 + 0 - 27/8*x**2 + 21/4*x = 0 for x.
-2, 0, 1, 7
Suppose -64*q - 68 = 73*q - 171*q. Determine r, given that 0*r + 0 + 12/7*r**q - 2/7*r**4 + 2/7*r**3 = 0.
-2, 0, 3
Let y(r) be the third derivative of -r**7/1050 - 7*r**6/600 + 49*r**5/300 + 343*r**4/120 + 842*r**2 + 2*r. Factor y(p).
-p*(p - 7)*(p + 7)**2/5
Let w(j) be the first derivative of j**4/22 + 2*j**3/11 - 25*j**2/11 - 150*j/11 + 752. Factor w(n).
2*(n - 5)*(n + 3)*(n + 5)/11
Suppose 0 = 4*v - 11*v - 21. Let s be 5*(-2)/(v - -1). Determine r so that -10*r**3 + 45*r - s*r**4 + 0*r**3 + 5*r**2 - 35*r = 0.
-2, -1, 0, 1
Let t(k) = k**2 - 246*k + 9656. Let a be t(49). Factor -8/5 + 0*s - 2/5*s**a + 6/5*s**2.
-2*(s - 2)**2*(s + 1)/5
Let n(b) = 46*b**3 + 1713*b**2 - 3419*b + 1705. Let y(q) = 9*q**3 + q**2 - 1. Let r(f) = -4*n(f) + 20*y(f). Factor r(m).
-4*(m - 1)**2*(m + 1710)
Let k(a) be the first derivative of 125*a**6/6 - 255*a**5 - 9205*a**4/4 + 885*a**3 + 3100*a**2 + 1500*a - 980. Determine z, given that k(z) = 0.
-5, -2/5, 1, 15
Suppose 44*g - 3502 = 27*g. Factor 402*a + a**4 - 27*a**3 - g*a + 6 - 6 + 168*a**2.
a*(a - 14)**2*(a + 1)
Let u be (-58)/(-18) - (136/(-36) + 4). Let b be (28/8 - u)*(-1 + 7). Factor 3 + 12*i**2 - b - 39*i + 9.
3*(i - 3)*(4*i - 1)
Let o(b) = 3*b**3 + 81*b**2 - 3*b - 81. Let h(l) = -l**3 - 40*l**2 + l + 40. Let d(v) = 5*h(v) + 2*o(v). Determine s, given that d(s) = 0.
-1, 1, 38
Factor 24*t**3 - 31*t**3 + 28*t**2 - 39*t**4 + 44*t**4 + 72*t**3 - 98*t**2.
5*t**2*(t - 1)*(t + 14)
Factor 33/4*i**2 + 117/4*i + 3/4*i**3 + 135/4.
3*(i + 3)**2*(i + 5)/4
Let b(h) = h**4 - 27*h**3 + 6*h**2 + 6*h - 2. Let t(n) = 3*n**4 - 35*n**3 + 6*n**2 + 5*n - 3. Let w(j) = 3*b(j) - 2*t(j). Suppose w(o) = 0. What is o?
-4, -2/3, 0, 1
Let k(g) = -g**2 - 11*g - 7. Let z(y) = -y**3 + 9*y**2 - 2*y + 9. Let b be z(9). Let q be k(b). What is w in 14*w - q + 19 - 2*w + 4*w**2 = 0?
-2, -1
Let v(o) be the second derivative of o**4/30 + 20*o**3/3 - 101*o**2/5 - 1547*o. Factor v(m).
2*(m - 1)*(m + 101)/5
Let r(d) be the first derivative of -d**4/4 + 4*d**3/3 + 3*d**2 + 2*d + 19. Let k be r(5). Factor 3*u**3 + 5*u - k*u**2 + 17*u**2 + 2*u**3.
5*u*(u + 1)**2
Let m = 14 + -30. Let w be ((-29)/(-9) - 3) + m/153. Find i such that 16/17*i + 12/17*i**2 - w*i**4 + 0*i**3 + 6/17 = 0.
-1, 3
Let k be 36/342 - (-74468)/114. Let q = 654 - k. Let 4 - 2/3*u**2 + q*u = 0. What is u?
-2, 3
Determine i so that 2334*i**2 + 501/4*i**4 + 2604*i + 1044 - 3/4*i**5 + 900*i**3 = 0.
-2, -1, 174
Let x(g) = -g**2 + 9*g + 40. Let t be x(12). Factor -56 + 191 - 34*n - 30*n + 5*n**2 + t*n.
5*(n - 9)*(n - 3)
Let u(g) be the first derivative of -g**5 + 265*g**4/4 + 275*g**3/3 - 265*g**2/2 - 270*g + 7779. Determine x so that u(x) = 0.
-1, 1, 54
Let l(y) be the first derivative of 2/45*y**3 - 31 + 4/15*y**2 + 8/15*y. Solve l(p) = 0.
-2
Let y(t) be the third derivative of 13/168*t**4 + 4/105*t**5 + 0 + 16*t + 1/210*t**6 + 1/14*t**3 - t**2. Let y(r) = 0. Calculate r.
-3, -1/2
Let l = -4 + 6. Let c = 7 + -4. What is p in -c*p**l + 5*p**3 - p**2 - p**2 = 0?
0, 1
Let t(b) be the first derivative of 76*b**3/15 + 108*b**2/5 + 128*b/5 - 1929. Factor t(f).
4*(f + 2)*(19*f + 16)/5
Let c(v) be the first derivative of 2/5*v**5 + 13 - 30*v**3 + 864*v - 216*v**2 - 1/3*v**6 + 29/2*v**4. Factor c(l).
-2*(l - 3)**3*(l + 4)**2
Let m(i) be the second derivative of -77*i + 0 + 2/15*i**6 - 2*i**3 - 5/3*i**4 + 0*i**2 - 1/5*i**5. Factor m(w).
4*w*(w - 3)*(w + 1)**2
Let v(b) be the first derivative of 100/51*b**6 + 0*b + 0*b**2 - 37/34*b**4 + 4/17*b**3 - 154 + 6/17*b**5. Determine y so that v(y) = 0.
-3/4, 0, 1/5, 2/5
Let s(u) be the third derivative of u**8/10080 + u**7/120 - 11*u**6/180 - 47*u**5/60 + u**4/8 - 141*u**2. Let v(q) be the third derivative of s(q). Factor v(l).
2*(l - 1)*(l + 22)
Let z(t) = -416*t + 10816. Let k be z(26). Find s, given that -4/5*s**2 - 2/5*s**4 - 6/5*s**3 + k*s + 0 = 0.
-2, -1, 0
Let m(x) be the third derivative of -x**6/150 + 4*x**5/75 + 2*x**4/5 + 11*x**2 - 63. Solve m(o) = 0 for o.
-2, 0, 6
Let s(d) be the first derivative of d**7/5460 + 7*d**6/585 + 49*d**5/195 - 7*d**3 + 5*d**2/2 - 84. Let w(r) be the third derivative of s(r). Factor w(y).
2*y*(y + 14)**2/13
Let h(q) be the third derivative of -1/20*q**5 + 0 - 200*q**3 + 5*q**4 - 120*q**2 + 0*q. Solve h(p) = 0.
20
Let x(j) be the third derivative of -8/15*j**3 + 1/150*j**5 + 2*j - 46*j**2 + 1/30*j**4 + 0. Suppose x(d) = 0. What is d?
-4, 2
Let b be -42*1*(0 - 1). Suppose -t = -7*t + b. Suppose 2*y**3 + 10 - 11*y**3 + 15*y - 5*y**2 + y**3 - t*y**3 - 5*y**4 = 0. Calculate y.
-2, -1, 1
Suppose 0 = -69*w + 68*w - 44. Let a = -42 - w. Factor -42*b**3 + 41*b**3 + 2*b**a + 3*b - 3*b**2 - b.
-b*(b - 1)*(b + 2)
Suppose -355 = -4*i + 3*c + 1406, 2*i + c - 883 = 0. Suppose -i*o - o**4 + 21*o**4 - 344*o**2 + 390*o + 88*o**3 - 4*o**5 - 609*o + 900 = 0. Calculate o.
-3, 1, 5
Find v, given that 0 - 5/6*v**3 + 230*v**2 - 15870*v = 0.
0, 138
Let g be (11 - (-4138)/(-180)) + 12. Let l(x) be the second derivative of 1/6*x**3 - 1/20*x**5 + 0 + 1/36*x**4 + 7*x + g*x**6 - 1/3*x**2. Factor l(p).
(p - 2)*(p - 1)**2*(p + 1)/3
Let x = 103 + -101. Factor -x + 2*v**5 - 6*v**4 + 14*v**3 + 9*v + 4*v**5 - 16*v**2 - 5*v**5.
(v - 2)*(v - 1)**4
Let c(w) be the third derivative of 5/3*w**6 - 5/3*w**4 - 5/6*w**3 - 156*w**2 + 0*w - 1/2*w**5 - 25/42*w**7 - 1. Factor c(f).
-5*(f - 1)**2*(5*f + 1)**2
Let s(p) = p**3 + 4*p**2 + 2*p - 1. Let o be s(-2). Factor -56*n**3 + 126*n**3 + 130*n**o - 212 - 217*n**2 + 632*n + 4*n**4 - 407*n**2.
4*(n - 1)**3*(n + 53)
Suppose 332*z + 2*w = 328*z + 78, z - 22 = 2*w. Let d be 8/z*(-160)/(-32). Find b, given that 0*b**d - 4/3*b**4 + 0 - 2/3*b**5 + 0*b - 2/3*b**3 = 0.
-1, 0
Let f(v) be the first derivative of v**6/540 - 7*v**5/90 - 5*v**4/12 - 49*v**3/3 - 67. Let n(u) be the third derivative of f(u). Factor n(z).
2*(z - 15)*(z + 1)/3
Let z(b) = b**3 - 110*b**2 + 817*b - 4. Let g be z(8). Let m(a) be the second derivative of 0 + 27*a + 2/3*a**2 + 1/9*a**3 - 1/18*a**g. Factor m(p).
-2*(p - 2)*(p + 1)/3
Let q(p) = 7*p**2 + 67*p - 221. Let t(i) = 4*i**2 + 66*i - 222. Let f(g) = -2*q(g) + 3*t(g). Factor f(u).
-2*(u - 28)*(u - 4)
Let k be (-11)/(55/30)*1. Let d be k/(-4) - 14/(-4). Factor -3*a**d - 211*a**3 + 121*a**3 - 27*a**4 - 33 - 99*a + 6 - 138*a**2.
-3*(a + 1)**3*(a + 3)**2
Let f = -248 + 270. Suppose 0 = -5*y + 5*k, 2*k = 3*y - 25 + f. Factor 9/4*p**2 + 0*p - 3 - 3/4*p**y.
-3*(p - 2)**2*(p + 1)/4
Let i = 16114/9 - 1790. Let g(a) be the first derivative of -8/15*a**5 + 0*a + 1/9*a**6 + 5/6*a**4 - 7 - i*a**3 + 0*a**2. Find d, given that g(d) = 0.
0, 1, 2
Let m(h) = -6*h**2 - 10*h - 4. Let v = 88 - 93. Let w(d) = -4*d - 17*d - 5*d**2 - 6 - 2 - 8*d**2. Let t(a) = v*m(a) + 2*w(a). Factor t(r).
4*(r + 1)**2
Factor 17*w**4 - 107*w**2 + 400*w**2 + 682*w**2 + 343*w**3 + w**5 - 1014*w + 16*w**4 - 338*w.
w*(w - 1)*(w + 8)*(w + 13