p - 7. Let o be i(s). Find k, given that -24/7*k - 6/7*k**2 + 10/7*k**o - 8/7 = 0.
-1, -2/5, 2
Let k(v) be the second derivative of -v**4/6 + 17*v**3/3 - 42*v**2 + 159*v. Solve k(o) = 0 for o.
3, 14
Suppose -10*h + 5*h - 25 = 0. Let c(m) = 5*m**2 + 5*m. Let s(v) = 5*v**2 + 6*v. Let l(d) = h*s(d) + 4*c(d). Factor l(o).
-5*o*(o + 2)
Let r(z) = 32*z**2 + 22*z - 646. Let u(v) = v**3 - 98*v**2 - 68*v + 1937. Let t(a) = 7*r(a) + 2*u(a). Factor t(c).
2*(c - 4)*(c + 9)**2
Let k = 4109/3 - 1369. Factor k*m**2 + 4/3 - 2*m.
2*(m - 2)*(m - 1)/3
Let s(y) = -16*y**2 - 16*y - 11. Let o(f) = 3*f**2 + 3*f + 2. Let v(i) = 22*o(i) + 4*s(i). Factor v(r).
2*r*(r + 1)
Let o be 32/8 - 250/70. Factor -2/7*i**2 - i - o.
-(i + 3)*(2*i + 1)/7
Let n(i) = 18*i**3 + 1484*i**2 + 39392*i + 354346. Let a(g) = 2*g**3 + 165*g**2 + 4377*g + 39372. Let o(f) = 52*a(f) - 6*n(f). Solve o(j) = 0 for j.
-27
Let j be (-8)/12*(-1179)/12. Let w = j - 65. Factor 0 - 1/2*y**3 + 0*y - w*y**2.
-y**2*(y + 1)/2
Let k(u) = 110*u**2 - 75*u - 620. Let c(d) = 37*d**2 - 25*d - 207. Let t(j) = -10*c(j) + 3*k(j). Find w, given that t(w) = 0.
-2, 21/8
Let d(y) be the first derivative of -1/90*y**5 - 5/27*y**3 - 6 + 2/9*y**2 - 6*y + 2/27*y**4. Let p(b) be the first derivative of d(b). Factor p(i).
-2*(i - 2)*(i - 1)**2/9
Let u(f) be the third derivative of -f**8/30240 - f**7/1890 - 5*f**5/6 - 2*f**2. Let l(h) be the third derivative of u(h). Let l(r) = 0. What is r?
-4, 0
Let f(b) be the third derivative of -b**5/120 + 25*b**4/48 + 119*b**2. Factor f(j).
-j*(j - 25)/2
Let t(m) = -2*m**3 - m**2 - 1. Let o(y) = 11*y**3 + 20*y**2 + 48*y - 59. Let u(w) = -2*o(w) - 10*t(w). Factor u(d).
-2*(d - 1)*(d + 8)**2
Let c(y) be the first derivative of -y**5/30 + y**4/8 + 11*y**3/9 - 2*y**2 + 165. Determine g so that c(g) = 0.
-4, 0, 1, 6
Let s be 7/(-112) - (-3)/48. Let g(j) be the first derivative of 0*j**3 - 1/20*j**5 + 0*j - 1/16*j**4 + 5 + s*j**2. Determine w, given that g(w) = 0.
-1, 0
Let h(w) be the third derivative of w**6/30 - 2*w**5/3 - 23*w**4/6 - 8*w**3 - 192*w**2. Factor h(d).
4*(d - 12)*(d + 1)**2
Suppose -3*n = n + 4*d - 12, 0 = 2*n - 4*d - 12. Factor 21*p**2 + n*p + 2*p**4 - 2 - 21*p**2 - 4*p**3.
2*(p - 1)**3*(p + 1)
Let c(m) be the second derivative of 3*m**5/20 - 2*m**4 + 10*m**3 - 24*m**2 + 30*m. Factor c(n).
3*(n - 4)*(n - 2)**2
Let y(k) be the third derivative of k**6/660 + 13*k**5/330 + 8*k**4/33 + 20*k**3/33 - 491*k**2. Solve y(s) = 0 for s.
-10, -2, -1
Let z = 27102 + -243898/9. Factor -z*h + 2/9*h**2 + 2/9*h**3 + 16/9.
2*(h - 2)*(h - 1)*(h + 4)/9
Factor -6 - 16/5*q + 14/5*q**2.
2*(q + 1)*(7*q - 15)/5
Suppose -10*u = -18*u + 40. Find h, given that -u*h + 133*h**2 - 132*h**2 + h = 0.
0, 4
Let u be ((-1)/6)/(1*(-60)/1960). Find o such that 8/9 + 70/9*o**2 - u*o**3 + 52/9*o = 0.
-2/7, 2
Let r = 31 + -29. Factor 5*q**r - q**2 + 12*q**2 - 9 + 1 + 28*q.
4*(q + 2)*(4*q - 1)
Let r(b) be the second derivative of -9*b - 2/3*b**2 - 1/36*b**4 + 0 + 2/9*b**3. Factor r(q).
-(q - 2)**2/3
Let z(n) be the first derivative of n**7/112 - n**6/120 - n**5/16 + n**4/8 - 38*n**3/3 - 22. Let w(l) be the third derivative of z(l). Factor w(u).
3*(u - 1)*(u + 1)*(5*u - 2)/2
Let c(h) be the first derivative of 2/15*h**3 - h**2 - 1/120*h**6 + 17/300*h**5 + 0*h - 2/15*h**4 + 5. Let d(z) be the second derivative of c(z). Factor d(l).
-(l - 2)*(l - 1)*(5*l - 2)/5
Let t(k) be the first derivative of 33*k**4/20 + 9*k**3/5 - 36*k**2/5 + 12*k/5 - 421. Let t(l) = 0. What is l?
-2, 2/11, 1
Let s = -19 - -22. Let y be (-2 - -5)*4/s. Factor y*a**2 - 40*a + 19 + 17 + 16*a.
4*(a - 3)**2
Let p(g) be the third derivative of g**5/45 + 7*g**4/18 + 8*g**3/3 + 122*g**2. Factor p(d).
4*(d + 3)*(d + 4)/3
Factor -3*m**4 + 0 + 5*m**3 + 0*m**2 + 0*m + 1/4*m**5.
m**3*(m - 10)*(m - 2)/4
Let x be 2/(-5)*15/(-24). Let u(j) be the second derivative of -x*j**2 + 3*j - 1/2*j**3 + 0 - 5/24*j**4. Factor u(b).
-(b + 1)*(5*b + 1)/2
Let c(m) be the third derivative of -m**5/20 + 43*m**4/72 + 5*m**3/9 - 29*m**2. Factor c(i).
-(i - 5)*(9*i + 2)/3
Let f(l) be the second derivative of -l**7/5040 + l**6/144 - 3*l**5/80 + l**4/6 - l - 25. Let q(m) be the third derivative of f(m). Factor q(x).
-(x - 9)*(x - 1)/2
Let r(c) be the first derivative of 0*c + 0*c**3 - 5/2*c**2 - 5/6*c**6 + 0*c**5 + 5/2*c**4 + 4. Find v, given that r(v) = 0.
-1, 0, 1
Let -2/5*g**4 + 72 - 158/5*g**2 + 32/5*g**3 + 168/5*g = 0. Calculate g.
-1, 5, 6
Let k(m) be the third derivative of 10*m**2 + 1/490*m**7 + 0 + 1/784*m**8 + 0*m**4 + 0*m**6 + 0*m**3 + 0*m**5 + 0*m. Factor k(t).
3*t**4*(t + 1)/7
Let d(k) = k**3 + 12*k**2 - 3*k - 34. Let r be d(-12). Let l(t) be the first derivative of 3/8*t**4 + 0*t**r + 2 - 3/2*t**3 + 0*t. Factor l(m).
3*m**2*(m - 3)/2
Let q(t) be the third derivative of -t**6/450 - t**5/30 - 2*t**4/15 - 8*t**3/3 + 8*t**2. Let w(k) be the first derivative of q(k). Factor w(h).
-4*(h + 1)*(h + 4)/5
Suppose 3*f + 9 + 6 = 0, c - 5*f = 27. Determine o so that o + 2*o**2 - 4*o + c - 2*o + 9*o = 0.
-1
Suppose 21 = -i + 57. Suppose -x = -4*x + i. Factor 11*j**2 + 7*j**2 + 2*j**3 - 5*j**3 - x*j**2.
-3*j**2*(j - 2)
Factor -1/5*d**3 + 0 - 6/5*d**2 - 8/5*d.
-d*(d + 2)*(d + 4)/5
Factor 10/3*n**2 - 2/3*n**3 + 8/3 - 16/3*n.
-2*(n - 2)**2*(n - 1)/3
Let o(g) be the first derivative of g**4/3 + 100*g**3/9 - 164*g**2/3 + 224*g/3 - 218. Find c such that o(c) = 0.
-28, 1, 2
Let q = 240 - 237. Let d(o) be the first derivative of 0*o - 7 + 2/3*o**q + 0*o**2 + 1/4*o**4. Let d(g) = 0. What is g?
-2, 0
Let i(x) be the first derivative of 1/3*x**3 + 0*x**2 - 5 + 0*x. Factor i(g).
g**2
Let o(s) = 3*s**3 + 11*s**2 + 23*s + 13. Let z(t) = -8*t**3 - 22*t**2 - 45*t - 26. Let j(q) = -10*o(q) - 4*z(q). Solve j(r) = 0 for r.
-1, 13
Let r be -22 - (-9 - 2 - 14). Let j be (-2 - -2)*(1 + 0). Factor -3/7*p**r - 12/7*p + j - 12/7*p**2.
-3*p*(p + 2)**2/7
Let j(k) be the first derivative of 3*k**4/4 + 12*k**3 + 63*k**2/2 + 30*k - 35. Suppose j(m) = 0. Calculate m.
-10, -1
Let x(j) be the second derivative of 2*j**7/7 + 14*j**6/15 + j**5 + j**4/3 - 54*j. Factor x(w).
4*w**2*(w + 1)**2*(3*w + 1)
Suppose -7*y + 28 = 42. Let s(v) = 3*v**3 - 3. Let d(u) = -3*u**3 + u + 2. Let k(p) = y*s(p) - 3*d(p). Factor k(t).
3*t*(t - 1)*(t + 1)
Let t(x) be the second derivative of -x**5/70 + 5*x**4/42 + 4*x - 1. What is i in t(i) = 0?
0, 5
Let o be (3 - 76/28)/(2/28). Suppose 3*y**2 + 0*y**2 + 6*y**3 - o*y**2 - 7*y**3 = 0. Calculate y.
-1, 0
Let v(z) be the second derivative of z**7/2520 - z**6/360 + z**5/120 + 13*z**4/12 + 2*z. Let h(w) be the third derivative of v(w). Factor h(u).
(u - 1)**2
Let t(o) = -2*o**2 - 45*o + 27. Let q be t(-23). Let n(p) be the third derivative of -p**2 + 0*p**3 - 1/12*p**q + 0*p - 1/60*p**5 + 0. Factor n(k).
-k*(k + 2)
Let k(v) be the third derivative of 2*v**2 + 0 + 1/8*v**4 + 0*v - 1/3*v**3 - 1/60*v**5. Factor k(t).
-(t - 2)*(t - 1)
Let r(i) = -2*i**4 - 5*i**3 + 3*i**2 - 3*i + 3. Let u(m) = m**3 - m**2 + m - 1. Let h(l) = -2*r(l) - 6*u(l). Factor h(p).
4*p**3*(p + 1)
Let s(i) be the second derivative of i**5/10 + 2*i**4 + 11*i**3/3 + 2*i - 47. Factor s(v).
2*v*(v + 1)*(v + 11)
Let h(a) be the second derivative of a**7/3150 - a**6/150 - 3*a**4/2 + 13*a. Let k(g) be the third derivative of h(g). Let k(z) = 0. What is z?
0, 6
Let n = 78 - 75. Suppose n*q + 3 = -g - 6, -5*g - q = 3. Let 0 + g*b - 1/2*b**2 = 0. What is b?
0
Let x be (0/2)/(15 + 72/(-6)). Let o(q) be the second derivative of 9*q + 0 - 1/48*q**4 + x*q**2 - 1/24*q**3. Factor o(h).
-h*(h + 1)/4
Let m(j) = 81*j**2 - 177*j + 63. Let g(o) = o + 1. Let s(k) = -5*k**2 + 14*k - 1. Let d(b) = -3*g(b) + s(b). Let q(x) = -33*d(x) - 2*m(x). Factor q(w).
3*(w - 2)*(w - 1)
Let a(d) = -d**3 + d**2 + 1. Let n(f) be the first derivative of -15*f**4/4 + 40*f**3/3 - 35*f**2/2 + 15*f - 2. Let m(z) = 5*a(z) - n(z). Factor m(b).
5*(b - 2)*(b - 1)*(2*b - 1)
Factor 0 - 3/2*o**2 + 3/4*o + 3/2*o**4 - 3/4*o**5 + 0*o**3.
-3*o*(o - 1)**3*(o + 1)/4
Let g be -3 + 3/12 + (-19 - -23). Factor -7/4*k - g*k**2 - 1/2.
-(k + 1)*(5*k + 2)/4
Let y(w) be the third derivative of 1/100*w**6 + 1/40*w**4 + 0*w**3 + 0*w - 12*w**2 + 0 + 3/100*w**5. Solve y(t) = 0 for t.
-1, -1/2, 0
Let v = 12 + -68. Let u = -53 - v. Factor 2/3*l**2 + 2/3*l**u - 1/3*l - 1/3*l**4 - 1/3*l**5 - 1/3.
