ose -h - 2 = 3*x, 3*h + 23 = 2*h + 4*x. Let n be (-8 - h)/(6/106). Let 12*k**2 - 20 + 5*k + 84 - n*k - k**3 = 0. Calculate k.
4
Let x be (-152)/38*(-6)/80. Let f(o) be the second derivative of 0*o**2 - x*o**5 + 4*o + 1/15*o**6 + 1/3*o**4 + 0 + 0*o**3. Determine r so that f(r) = 0.
0, 1, 2
Let m = -29 + 30. Let i be (-1 - (0 + -3))/m. Factor 12 + 3/4*h**4 + 6*h**3 + 18*h**i + 24*h.
3*(h + 2)**4/4
Let u be 40/6*((-1)/(-12) - (-13280)/48000). Determine k, given that -3/5*k**4 + u*k + 6/5*k**3 + 21/5*k**2 + 0 = 0.
-1, 0, 4
Let d(a) be the second derivative of 0 + 1/2*a**3 - 1/4*a**4 + 12*a + 0*a**2. Factor d(r).
-3*r*(r - 1)
Let a be 4/(-6) + 0 + (-672)/(-432). Determine n so that -4/9*n**4 + a - 4/9*n**2 + 4/3*n**3 - 4/3*n = 0.
-1, 1, 2
Let l(x) = 5*x**4 + 10*x**3 - 20*x**2 + 50*x - 45. Let c(b) = -b**3 + b**2 - b + 1. Let r(t) = -30*c(t) - l(t). Factor r(d).
-5*(d - 3)*(d - 1)**2*(d + 1)
Let l(b) = -b**4 + b**3. Let o(f) = -98*f**4 + 353*f**3 - 225*f**2 - 160*f - 20. Let p(k) = 2*l(k) + o(k). Let p(a) = 0. What is a?
-1/4, -1/5, 2
Let t(w) be the first derivative of w**4 + 8*w**3/3 - 2*w**2 - 8*w - 74. Determine u so that t(u) = 0.
-2, -1, 1
Factor -10 + d**2 - 19/2*d + 1/2*d**3.
(d - 4)*(d + 1)*(d + 5)/2
Let o = 16 + 1. Suppose o = 2*t + 11. Determine z so that -3*z**4 - z**3 + z**t + 0*z**4 + 3*z**2 = 0.
-1, 0, 1
Suppose -7*u = -u + 5*u. Let l(v) be the first derivative of -v**2 - 1/3*v**6 + 0*v**5 + 0*v**3 + 2 + v**4 + u*v. Factor l(j).
-2*j*(j - 1)**2*(j + 1)**2
Let z(l) be the third derivative of -l**8/1344 + l**7/210 + l**6/96 - 13*l**2 - 3*l. Factor z(w).
-w**3*(w - 5)*(w + 1)/4
Let o(i) be the third derivative of -i**5/360 + 11*i**4/48 - 8*i**3/9 + 97*i**2. Factor o(l).
-(l - 32)*(l - 1)/6
Let j = 11 - 6. Suppose -4*z - 4*w - 11 = -z, -4*z - j*w = 13. Determine u so that -2*u + 0*u**3 + 6*u**3 - u**3 - 3*u**z = 0.
-1, 0, 1
Let z(j) be the third derivative of 2*j**2 + 1/420*j**5 + 0*j**4 + 0*j**3 + 0*j + 0 - 1/420*j**6. Let z(u) = 0. Calculate u.
0, 1/2
Let d(s) be the first derivative of 2*s**5/65 + 3*s**4/13 - 38*s**3/39 - 24*s**2/13 - 392. Find b such that d(b) = 0.
-8, -1, 0, 3
Let v(m) be the third derivative of 19*m**2 + 0 + 5/18*m**3 + 1/180*m**5 + 0*m + 1/12*m**4. Find d, given that v(d) = 0.
-5, -1
Let q(f) be the third derivative of -f**7/525 + f**6/75 - f**5/150 - f**4/10 + 37*f**2. Solve q(r) = 0.
-1, 0, 2, 3
Let x(q) be the second derivative of q**6/50 - 3*q**5/20 + 9*q**4/20 - 7*q**3/10 + 3*q**2/5 + 401*q + 2. Factor x(n).
3*(n - 2)*(n - 1)**3/5
Let x = 8019/7 - 88195/77. Factor x*r**5 - 2/11*r + 4/11*r**2 - 4/11*r**4 + 0 + 0*r**3.
2*r*(r - 1)**3*(r + 1)/11
Let x(v) be the third derivative of v**5/24 - 95*v**4/48 + 20*v**3 + v**2 + 101*v. Solve x(c) = 0.
3, 16
Let u(z) be the first derivative of 1/9*z**3 + 4/3*z - 40 - 5/6*z**2. Factor u(d).
(d - 4)*(d - 1)/3
Let n be 0/((27/15)/(-3)*-5). Suppose -2*r = r - 6. Factor n - 2/9*c**r - 2/9*c.
-2*c*(c + 1)/9
Let d(i) = -i**3 - 1. Suppose 11*t - 3 = 8*t. Let w(f) = 14*f**3 + 2*f**2 - 4*f + 12. Let z(v) = t*w(v) + 12*d(v). Factor z(c).
2*c*(c - 1)*(c + 2)
Let v = -58/3 - -479/24. Let z(n) be the second derivative of v*n**5 - 6*n - 1/2*n**3 + 0 - 1/2*n**2 + 5/16*n**4. Factor z(u).
(2*u - 1)*(5*u + 2)**2/4
Let f(j) be the third derivative of -j**6/165 + j**5/110 + j**4/132 - 6*j**2 + 2*j. Factor f(m).
-2*m*(m - 1)*(4*m + 1)/11
Let x(t) be the third derivative of -t**8/336 + t**7/21 - 13*t**6/120 - t**5 - 3*t**4/2 - 457*t**2. Factor x(l).
-l*(l - 6)**2*(l + 1)**2
Let r be ((1 - 6) + 4)*23*-1. Suppose r*y - 17*y = 12. Factor -1/4*a**y + 1/2*a - 1/4.
-(a - 1)**2/4
Let z(f) be the third derivative of 31*f**2 + 0 - 1/105*f**5 + 11/84*f**4 - 5/21*f**3 + 0*f. Solve z(m) = 0.
1/2, 5
Let r = 21 + -25. Let p be (-4 - r - -1) + 1. Suppose 3*y - 11*y + 1 + 8*y**2 - 28*y**p + 11 = 0. What is y?
-1, 3/5
Let b be 6/(-9) - -26*3/9. Suppose 21 = -z + b*z. Factor -1/4 - 5/2*o**2 - 1/4*o**5 - 5/4*o**4 - 5/4*o - 5/2*o**z.
-(o + 1)**5/4
Let o(z) be the third derivative of -z**8/2520 - 2*z**7/525 + z**6/900 + z**5/75 - 121*z**2. Solve o(n) = 0.
-6, -1, 0, 1
Determine y, given that -55*y + 100*y - 54*y + 48*y**2 = 0.
0, 3/16
Let s = 1251 + -1248. Factor -1/5*b**s + 0 + 0*b**2 + 1/5*b.
-b*(b - 1)*(b + 1)/5
Let j = 42/31 - 263/217. Find a, given that -1/7*a + j*a**3 + 2/7*a**2 - 2/7 = 0.
-2, -1, 1
Let h(q) = 7*q**5 + 4*q**4 + 6*q**3 + 8*q**2 - 7*q. Let y(t) = 13*t**5 + 7*t**4 + 11*t**3 + 15*t**2 - 13*t. Let c(v) = 11*h(v) - 6*y(v). Solve c(w) = 0.
-1, 0, 1
Suppose 2*r + 0 + 14 = 0. Let o be r - -7 - (-6)/2. Factor 3*y**o + 16*y + 31*y - 18 + 9*y**4 - 11*y**2 - 40*y**2 + 10*y.
3*(y - 1)**2*(y + 3)*(3*y - 2)
Suppose 8*t - 18*t + 100 = 0. Factor -t + 9 - 5*g**2 + 3 + 3*g**2.
-2*(g - 1)*(g + 1)
Let q(l) be the second derivative of l**7/504 + l**6/72 - 5*l**4/18 + 13*l**3/6 + 3*l. Let j(i) be the second derivative of q(i). Solve j(b) = 0 for b.
-2, 1
Suppose 31*k - 50 = 6*k. Let v(x) = -x**2 + 14*x - 24. Let h be v(k). Let h + 1/3*j - 1/3*j**2 = 0. Calculate j.
0, 1
Let f = -46743/49 + 954. Let z = f + 40/147. Factor -1/3*l**4 + z*l**2 + 1/3*l**3 + 0 - 1/3*l.
-l*(l - 1)**2*(l + 1)/3
Factor -1 - 6083 - 17073*c**2 + 16908*c**2 - 2496*c - 3*c**3.
-3*(c + 3)*(c + 26)**2
Let x = -1229/20 - -249/4. Let k(p) be the first derivative of 4/15*p**3 + 4/5*p**2 + x*p - 6. Factor k(n).
4*(n + 1)**2/5
Let t(z) = 2*z**3 - 5*z**2 - 10*z - 3. Let g be t(4). Let i(o) be the third derivative of 0 + 1/30*o**4 + 0*o + 1/15*o**3 + 3*o**2 + 1/150*o**g. Factor i(k).
2*(k + 1)**2/5
Suppose 3 = 4*n - 45. Solve 10*l**3 - 33*l**2 + n*l**2 + 5*l**3 + 6*l = 0.
0, 2/5, 1
Let x(k) = k + 8. Let p be x(-4). Factor -63*u**p - 3*u + 31*u**4 + 29*u**4 + 3*u**2 + 3*u**3.
-3*u*(u - 1)**2*(u + 1)
Let o(b) be the third derivative of 0 + 0*b**5 - 1/300*b**6 + 0*b + 1/525*b**7 + 0*b**4 + 25*b**2 + 0*b**3. Suppose o(l) = 0. What is l?
0, 1
Let z(q) be the third derivative of -5/12*q**4 - 2/15*q**5 + 0*q + 7*q**2 - 1/60*q**6 + 0 - 2/3*q**3. Factor z(r).
-2*(r + 1)**2*(r + 2)
Factor 0 - 1/2*b - 1/2*b**2.
-b*(b + 1)/2
Let j(a) = 3*a**5 + 63*a**4 + 1122*a**3 + 5920*a**2 + 11421*a + 6559. Let i(x) = -x**5 - x**4 + x**2 + 1. Let c(o) = 2*i(o) + j(o). Factor c(n).
(n + 1)*(n + 3)**2*(n + 27)**2
Factor -1 - 3/2*o + o**2.
(o - 2)*(2*o + 1)/2
Let i(q) be the second derivative of 5*q - 45/4*q**4 + 45/2*q**3 + 9/4*q**5 + 0 - 1/6*q**6 + 0*q**2. Factor i(r).
-5*r*(r - 3)**3
Let u(r) be the third derivative of 0 + 8*r**2 + 0*r - 2/3*r**3 - 1/75*r**5 - 1/5*r**4. Let u(x) = 0. Calculate x.
-5, -1
Let x(k) = -10*k**4 - 16*k**3 - 6*k**2 - 9*k - 9. Let u(t) = 9*t**4 + 15*t**3 + 7*t**2 + 9*t + 8. Let a(s) = 9*u(s) + 8*x(s). Find j such that a(j) = 0.
-3, -1, 0
Determine b so that -466/3*b**3 + 14*b**4 + 304*b - 160/3 - 382*b**2 + 6*b**5 = 0.
-4, 1/3, 5
Let b be (-255)/45 + 7 - 5/(-3). Find d such that 0*d + 0*d**2 + 0 + 0*d**b - 2/15*d**4 = 0.
0
Let t(d) be the first derivative of d**6/150 - d**4/60 + 4*d - 3. Let z(b) be the first derivative of t(b). Factor z(u).
u**2*(u - 1)*(u + 1)/5
Let d(n) = n**2 - 1. Let v be d(1). Let i be (-3710)/(-3339)*(-36)/(-10). Determine m so that v - 11/4*m**3 - m + 3*m**2 + 3/4*m**i = 0.
0, 2/3, 1, 2
Let u(g) be the second derivative of g**7/3360 - g**6/320 - g**5/40 + 11*g**4/12 - 13*g. Let c(j) be the third derivative of u(j). Determine b so that c(b) = 0.
-1, 4
Let d(m) = -m**2 - 9*m + 13. Let w be d(-10). Let 80*c - 2*c**3 - w + 30*c**3 - 72*c**2 - 4*c**4 - 29 = 0. What is c?
1, 2
Let p(i) be the first derivative of -i**8/4200 - i**7/700 - i**6/450 - 2*i**3/3 + 17. Let b(z) be the third derivative of p(z). Suppose b(w) = 0. Calculate w.
-2, -1, 0
Let d(l) be the first derivative of 15/2*l**4 + 2 - 20*l - 65/3*l**3 - l**5 + 30*l**2. Factor d(v).
-5*(v - 2)**2*(v - 1)**2
Factor 55*f - 123*f - 15*f**3 + 5*f**2 - 10 + 83*f + 5*f**4.
5*(f - 2)*(f - 1)**2*(f + 1)
Suppose 0*u - 4*u = -120. Find l, given that 55*l**3 - 60*l + 40 + 2*l**5 + 0*l**5 - u*l**4 - 10*l**2 + 3*l**5 = 0.
-1, 1, 2
Let l = -974 - -4878/5. Let u(t) be the first derivative of 2/15*t**3 + 4/5*t**2 - 8 + l*t. Let u(w) = 0. What is w?
-2
Let j(h) be the first derivative of -h**9/12096 + h**7/1680 - h**5/480 - 6*h**3 - 7. Let v(m) be the third derivative of j(m). Factor v(b).
