et r(b) = b**3 + 3*b**2 - 6*b - 16. Let h be r(-3). Let t(s) be the second derivative of 0*s**h + 1/18*s**3 - 4*s + 0 - 1/36*s**4. Factor t(z).
-z*(z - 1)/3
Factor -1560*f - 17779/5*f**3 - 100 - 45*f**5 - 687*f**4 - 6537*f**2.
-(f + 5)**3*(15*f + 2)**2/5
Let x(i) = -i**3 - 15*i**2 + 2. Let j be x(-15). Factor -3*g + 5*g - 3 + g**2 + 2*g - j*g.
(g - 1)*(g + 3)
Let f be ((-15)/6)/((-56)/(-19)). Let m = -9/16 - f. Solve -6/7*h**4 + 2/7*h**5 + 6/7*h**3 + 0*h + 0 - m*h**2 = 0.
0, 1
Let b be (-24 + -2)/2 - (1 - 2). Let x be (-10)/(-1)*(0 + (-2)/b). Let -2/3*a + 5/3*a**4 + 2/3*a**3 + 0 - x*a**2 = 0. What is a?
-1, -2/5, 0, 1
Let h(g) be the first derivative of -1/3*g**3 + 1/2*g**2 - 1 + 2*g. What is f in h(f) = 0?
-1, 2
Let j(k) = 44*k**3 + 133*k**2 - 55*k + 3. Let i(h) = -46*h**3 - 132*h**2 + 56*h - 4. Let y(l) = 6*i(l) + 4*j(l). Let y(p) = 0. Calculate p.
-3, 1/5
Let y(r) = 5*r**4 + 70*r**3 - 261*r**2 - 16*r + 340. Let b(a) = a**2 + 6*a. Let m(z) = 6*b(z) + y(z). Find j, given that m(j) = 0.
-17, -1, 2
Let j(d) be the first derivative of 3*d**5/40 - 3*d**3/4 - 3*d**2/2 + 14*d - 13. Let u(b) be the first derivative of j(b). Solve u(f) = 0 for f.
-1, 2
Factor 0 + 3/4*f**4 - 3/4*f**2 + 1/4*f**3 - 1/2*f + 1/4*f**5.
f*(f - 1)*(f + 1)**2*(f + 2)/4
Let a(h) be the third derivative of -h**7/105 - 14*h**6/15 - 392*h**5/15 + 205*h**2 + h. Factor a(t).
-2*t**2*(t + 28)**2
Suppose -4 - 8 = -4*d. Let u be ((-27)/d)/(-1 - 2). Factor 4*l**3 - 8*l**5 + 9*l**5 - 5*l**u.
l**3*(l - 1)*(l + 1)
Let z = 1300 - 1297. What is g in 10/3*g**4 + 16/3*g - 12*g**z + 0 + 8*g**2 = 0?
-2/5, 0, 2
Let i = 140 - 208. Let r(t) = -t**2 + t - 3. Let w(g) = -12*g**2 + 10*g - 34. Let y(k) = i*r(k) + 6*w(k). Factor y(c).
-4*c*(c + 2)
Suppose -8*u = -5*q + 35, 7*u - 5*u - 21 = -3*q. Factor -3*v - 15/4*v**3 + u - 3/4*v**4 - 6*v**2.
-3*v*(v + 1)*(v + 2)**2/4
Let t(r) = 11*r**5 + 7*r**4 + 6*r**3 + 12*r - 6. Let p(l) = -24*l**5 - 15*l**4 - 13*l**3 - 26*l + 13. Let g(k) = -6*p(k) - 13*t(k). Factor g(b).
b**4*(b - 1)
Let d = 137 + -135. Find a, given that -6*a**4 - 3*a**4 - 6*a - 3*a**5 + 6*a**3 + 1 - 10 + 18*a**d + 3*a = 0.
-3, -1, 1
Factor 4*u**3 - 16*u - 16 - 24*u**2 + 41*u + 11*u.
4*(u - 4)*(u - 1)**2
Let v = 3547/1368 - 49/19. Let q(l) be the third derivative of -1/180*l**6 + 5*l**2 + 0*l**3 + 0 - 1/1260*l**7 - v*l**4 - 1/72*l**5 + 0*l. Factor q(c).
-c*(c + 1)**2*(c + 2)/6
Factor -1 - 3*i**2 + 517*i - 439*i + 1 + 0.
-3*i*(i - 26)
Let s(q) = q**2 - 5*q. Let z be s(6). Suppose o = -3*l + 11 + z, -4*o + 4*l = 12. Solve -1/5*d**o + 2/5*d - 1/5 = 0 for d.
1
Suppose -2*s = 3*s. Suppose 3*a + 1 - 7 = s. Solve 3 - 6 - 2*g**a + 6*g - g**2 = 0 for g.
1
Determine z, given that -221*z**4 - 212*z**4 - 8*z**3 + 9*z - z**5 - 10*z**2 - 217*z**4 + 660*z**4 = 0.
-1, 0, 1, 9
Let z(q) be the second derivative of -q**6/270 + q**5/45 - 7*q**3/6 - 2*q. Let b(r) be the second derivative of z(r). Let b(m) = 0. What is m?
0, 2
Let m(a) = 26*a**4 + 151*a**3 + 109*a**2 + 26*a + 3. Let u(v) = 2*v**4 - 2*v**3 + v. Let p(k) = m(k) + 5*u(k). Factor p(x).
(x + 3)*(3*x + 1)**2*(4*x + 1)
Solve 8/13 + 2/13*b**2 + 8/13*b = 0.
-2
Let f(o) be the second derivative of o**4/12 + 49*o**3/3 + 2401*o**2/2 + 2*o + 110. Factor f(z).
(z + 49)**2
Suppose 3*j + 2 = 4*j. Let i be (16 - 1)/3 + ((-252)/(-5))/(-12). Factor i + 18/5*n**j + 22/5*n.
2*(n + 1)*(9*n + 2)/5
Factor -2*w**5 - 569 - 2*w**3 + 4*w**4 + 569.
-2*w**3*(w - 1)**2
Factor -5832*k**2 + 1/3*k**5 + 702*k**3 - 80/3*k**4 + 0 - 6561*k.
k*(k - 27)**3*(k + 1)/3
Let f(i) = i**2 - 17*i + 5. Let w be f(17). Solve 4*g**3 + 401 - 24*g**2 + 64*g**w + 96*g**4 + 4*g - 401 = 0.
-1, 0, 1/4
Let n = -282224/7 + 40417. Let k = n + -99. Factor 0 + k*j**5 + 12/7*j**4 + 8/7*j + 24/7*j**2 + 26/7*j**3.
2*j*(j + 1)**2*(j + 2)**2/7
Let i(z) be the second derivative of -z**4/72 - z**3/36 - 15*z - 6. Factor i(s).
-s*(s + 1)/6
Suppose 25 + 10 = 74*x - 113. Factor -1/6*y**x - 49/6 + 7/3*y.
-(y - 7)**2/6
Let q be (-4)/((-32)/(-24))*-1*1. Let w(p) be the first derivative of 4*p + 5 + p**2 - 2/3*p**q. Suppose w(u) = 0. Calculate u.
-1, 2
Let p(u) = 35*u**2 + 5*u - 40. Let w(m) = -m**2 + 3*m - 2. Let f(s) = p(s) + 30*w(s). Factor f(o).
5*(o - 1)*(o + 20)
Let x(w) be the third derivative of 1/210*w**5 + 0 - 1/84*w**4 + 28*w**2 + 0*w - 2/21*w**3. Let x(y) = 0. What is y?
-1, 2
Let d be (-2205)/10290*14/6*(-6)/4. Factor 0 - 1/4*s**3 + d*s**2 + s.
-s*(s - 4)*(s + 1)/4
Solve -3*g**2 - 23/5*g + 39/5 - 1/5*g**3 = 0.
-13, -3, 1
Let o(r) = -r**2 + 10*r - 2. Let t be o(9). Let f(i) be the first derivative of 3/2*i**2 - t - 6*i + i**3. Factor f(g).
3*(g - 1)*(g + 2)
Let o be ((-9)/27)/((-5)/10). Let h(l) be the first derivative of 2*l - 4 + o*l**3 - 2*l**2. Find r such that h(r) = 0.
1
Suppose 8*u + 0*u = 3*u. Factor -9 - 3*g**5 - g**3 + u*g**3 - 6*g**2 - 5*g**3 + 6 + 9*g**4 + 9*g.
-3*(g - 1)**4*(g + 1)
Let u(r) be the third derivative of -7/90*r**5 + 0 - 1/45*r**6 + 0*r**3 + 24*r**2 - 1/12*r**4 + 0*r. Factor u(d).
-2*d*(d + 1)*(4*d + 3)/3
Factor 13/2*g**2 + 15/2 - 29/2*g + 1/2*g**3.
(g - 1)**2*(g + 15)/2
Let y be (-24)/(-11) + -2 - (-229)/11. What is q in -y*q**3 - 7 + 1 - 61*q**2 + 13*q**2 - 4*q - 29*q = 0?
-1, -2/7
Let f(p) = -7*p**5 + 21*p**4 - 14*p**3 - 4*p**2 - 8. Let b(s) = -8*s**5 + 21*s**4 - 13*s**3 - 5*s**2 - 10. Let k(c) = 4*b(c) - 5*f(c). Factor k(g).
3*g**3*(g - 6)*(g - 1)
Factor y - 3109*y**4 + 14*y - 10 - 5*y**3 + 3114*y**4 - 10*y**3 + 5*y**2.
5*(y - 2)*(y - 1)**2*(y + 1)
Let u be (3/2)/(450/200). Factor -u*x**4 - 2/3*x**3 - 2*x + 0 + 10/3*x**2.
-2*x*(x - 1)**2*(x + 3)/3
Let a(i) be the first derivative of -i**6/6 + 16*i**5/25 + 3*i**4/5 - 58*i**3/15 + 41*i**2/10 - 6*i/5 + 473. Let a(r) = 0. What is r?
-2, 1/5, 1, 3
Let a be 23/(-4) + (-176)/(-22). Suppose 3/2 + 3/4*r**3 + 0*r**2 - a*r = 0. Calculate r.
-2, 1
Let j = 313/662 - -9/331. Solve 0*x + j*x**3 - x**2 + 0 + 21/2*x**4 = 0 for x.
-1/3, 0, 2/7
Let d(z) be the second derivative of -2*z**6/15 - 11*z**5/5 + 13*z**4/3 + 22*z**3/3 - 24*z**2 + 280*z. Solve d(w) = 0.
-12, -1, 1
Let j(t) = t**2 - 9*t - 11. Let z be j(10). Let o = z + 4. What is q in -q**2 - o*q**3 + 0*q + 3*q**2 + q**4 + 0*q = 0?
0, 1, 2
Factor 3/2*n**2 + 87/2*n + 0.
3*n*(n + 29)/2
Let a be (-8)/6*(-28 - 1431/(-54)). Suppose -2*r**3 - r**a + r**4 + 3/2*r + 0 + 1/2*r**5 = 0. What is r?
-3, -1, 0, 1
Let v(p) be the first derivative of -11*p**4/14 + 326*p**3/21 + 30*p**2/7 + 315. Find h, given that v(h) = 0.
-2/11, 0, 15
Let n(v) be the first derivative of -2*v**3/21 + v**2 + 16*v/7 - 75. Factor n(w).
-2*(w - 8)*(w + 1)/7
Let v(z) be the second derivative of -z**7/42 + 2*z**6/15 - z**5/10 - z**4/3 + z**3/2 + 61*z. Factor v(f).
-f*(f - 3)*(f - 1)**2*(f + 1)
Let q be (-12)/9*(-36)/(-8). Let g be ((-4)/q + -1)/(2/(-20)). Factor 4/3*b - 2/3*b**5 + 2*b**3 - 2/3*b**4 + 0 + g*b**2.
-2*b*(b - 2)*(b + 1)**3/3
Solve 28/5*s**4 + 22/5*s + 6/5*s**5 + 52/5*s**3 + 48/5*s**2 + 4/5 = 0.
-1, -2/3
Let p(v) be the first derivative of -v**6/2700 + v**4/45 - 29*v**3/3 - 10. Let i(k) be the third derivative of p(k). Factor i(z).
-2*(z - 2)*(z + 2)/15
Let d(v) be the first derivative of 2*v**3/3 - v**2/2 - 15*v - 56. Let y(j) = -j**2 + 7. Let t(z) = -3*d(z) - 7*y(z). Factor t(f).
(f - 1)*(f + 4)
Let z(k) = k**3 - 18*k**2 - 15*k - 44. Let v be z(19). Let h be v/10 + (-12)/60. What is j in -2*j**2 - 2/3 - 2/3*j**h - 2*j = 0?
-1
Factor -2/5*p**5 + 0 + 1/5*p**4 + 0*p**2 + 0*p + 0*p**3.
-p**4*(2*p - 1)/5
Let z(w) be the third derivative of 1/1344*w**8 + 1/240*w**6 + 0*w**5 + 16*w**2 + 0*w**3 + 0 + 0*w + 0*w**4 + 1/280*w**7. Let z(j) = 0. What is j?
-2, -1, 0
Let y(g) be the third derivative of g**5/30 + g**4/2 + 5*g**3/3 - 3*g**2 + 26*g. Factor y(x).
2*(x + 1)*(x + 5)
Let m(s) = -2*s - 15. Let x(j) = 4*j + 31. Let p(l) = 11*m(l) + 6*x(l). Let n be p(-9). Let -21*b - 12*b + 24*b - n*b**2 - 6 = 0. Calculate b.
-2, -1
Let l(f) be the first derivative of 1/10*f**6 + 10 - 9/5*f**5 - 729/5*f - 54*f**3 + 243/2*f**2 + 27/2*f**4. Let l(i) = 0. Calculate i.
3
Let x be 2*(5 + -4 + (1 - -1)). Suppose x - 6 = 8*c. Factor -4*y + c*y**3 + 3*y**2 + 3/2 - 1/2*y**4.
-(y - 1)**3*(y + 3)/2
Let l be (-14)/(-49) - 10/280. Let r(s) be the second derivative of -l*s**4 + 0 - 1/6*s**3 - 3*s + s**2. Factor r(v).
-(v + 1)*(3*v - 2)
Let f(n) = -n*