**3/10 + 27*j**2/5 - 11*j + 2. Determine o so that b(o) = 0.
-3, -2
Let p(o) be the second derivative of 1/2*o**3 - 1/20*o**5 + o**2 - 7*o + 0*o**4 + 0. Suppose p(h) = 0. What is h?
-1, 2
Let l = 22383 - 22381. Factor -4/9*p - 10/9*p**l - 8/9*p**3 + 0 - 2/9*p**4.
-2*p*(p + 1)**2*(p + 2)/9
Suppose 38 + 2 = 8*x. Let q(v) be the third derivative of 0*v + 0 + 1/80*v**x + 0*v**3 - 4*v**2 + 1/32*v**4. Suppose q(b) = 0. Calculate b.
-1, 0
Let s(a) be the second derivative of 1/150*a**6 - 4/5*a**2 + 2/15*a**3 + 1/10*a**4 - 1/20*a**5 + 17*a + 0. Suppose s(n) = 0. Calculate n.
-1, 2
Factor -9*i**2 + 139*i - 72*i**2 + 5*i**3 - 65 - 4*i + 6*i**2.
5*(i - 13)*(i - 1)**2
Let n(k) = -12*k**3 - 15*k**2 + 36*k - 39. Let o(t) = 3*t**3 + 0*t**3 - 5 - 9*t + 4*t**2 + 2 + 13. Let a(c) = -4*n(c) - 15*o(c). Factor a(r).
3*(r - 1)**2*(r + 2)
Let p(l) be the second derivative of -1/9*l**6 - 1/2*l**4 + 0 - 39*l + 2/9*l**3 + 2/5*l**5 + 0*l**2. Factor p(j).
-2*j*(j - 1)**2*(5*j - 2)/3
Let j(c) = -70*c. Let n be j(-14). Let x = n + -4882/5. Factor -4/5 - x*r**2 + 2*r**3 + 14/5*r - 2/5*r**4.
-2*(r - 2)*(r - 1)**3/5
Let i(r) be the first derivative of 0*r - 1/360*r**6 + 0*r**5 + 0*r**4 + 1/3*r**3 - 4 + 0*r**2. Let t(q) be the third derivative of i(q). Solve t(b) = 0 for b.
0
Let h = 14 - 12. Suppose 9 = -7*n + 23. Find b, given that -h*b + 0*b - 7*b**2 + 0*b**n - 3*b**4 - 8*b**3 + 0*b = 0.
-1, -2/3, 0
Factor -6/11*a**4 + 1872/11*a - 864/11 + 156/11*a**3 - 1158/11*a**2.
-6*(a - 12)**2*(a - 1)**2/11
Suppose -37*r + 101 - 27 = 0. Let s(f) be the first derivative of -1/6*f**6 + 0*f - 1/2*f**r + 5 + 0*f**3 + 1/2*f**4 + 0*f**5. What is t in s(t) = 0?
-1, 0, 1
Solve -34/9 + 4/9*s**3 + 68/9*s**2 - 34/9*s**4 - 2/9*s**5 - 2/9*s = 0.
-17, -1, 1
Let w be (-3)/(-12) - 38/(-8). Let t(x) = 9*x**2 - 11*x + 21. Let f(i) = -44*i**2 + 56*i - 104. Let v(k) = w*f(k) + 24*t(k). Factor v(b).
-4*(b - 2)**2
Let z(j) be the third derivative of -j**9/15120 + j**8/6720 - j**4/4 + 21*j**2. Let s(c) be the second derivative of z(c). Factor s(r).
-r**3*(r - 1)
Factor 65*t - 66*t + t**2 + 90*t - 3892 + 4073 + 93*t.
(t + 1)*(t + 181)
Let q(d) be the third derivative of d**9/7560 + d**8/1680 + 13*d**4/24 + 10*d**2. Let g(x) be the second derivative of q(x). Find l, given that g(l) = 0.
-2, 0
Let b(y) = 15*y**2 + 30*y - 33. Let h be b(1). Solve 6/7 + 16/7*m**4 + h*m**2 - 72/7*m**3 - 38/7*m = 0 for m.
1/2, 3
Let b(r) be the first derivative of -r**5/20 - 3*r**4/8 - r**3/4 + 5*r**2/4 + 157. Factor b(o).
-o*(o - 1)*(o + 2)*(o + 5)/4
Let y(d) = -6*d**2 - 6*d - 8. Let v(m) = -m**2 - m - 2. Let f(g) = 5*v(g) - y(g). Factor f(z).
(z - 1)*(z + 2)
Let x = 768 - 3836/5. Factor -x*v**4 + 2/5*v**5 + 2/5*v**3 + 0*v**2 + 0 + 0*v.
2*v**3*(v - 1)**2/5
Let h(n) = -13*n**2 - 117*n - 99. Let p(q) = 72*q**2 + 644*q + 544. Let u(z) = 28*h(z) + 5*p(z). Factor u(r).
-4*(r + 1)*(r + 13)
Let t(r) be the second derivative of r**7/4200 - r**5/200 - r**4 - 10*r. Let a(g) be the third derivative of t(g). Factor a(l).
3*(l - 1)*(l + 1)/5
Solve -3*m**2 - 1/2*m**5 + 5/2*m**3 + 0*m + 0 + m**4 = 0.
-2, 0, 1, 3
Let z be ((-6)/(-21))/((-2)/(-14)*1). Let g be 0/(((-2)/(-10))/((-6)/(-60))). Suppose -1/8*m**2 - z*m**3 + g + 15/8*m**4 + 1/4*m = 0. What is m?
-1/3, 0, 2/5, 1
Let 65616 + 5*m**2 - 22469 - 1530*m + 3462 + 70436 = 0. Calculate m.
153
Let y(d) = -2*d**2 + 24*d + 84. Let r(k) = -10*k**2 + 95*k + 336. Let h(i) = -4*r(i) + 18*y(i). Factor h(s).
4*(s + 6)*(s + 7)
Let g = 1 - 1. Suppose -4*r + 28 = -9*p + 4*p, -3*r = 4*p + 10. Find n, given that -12*n**4 - 3*n**5 - 12*n**r - 3*n + n**5 + g*n**3 - n**5 - 18*n**3 = 0.
-1, 0
Let k(q) be the second derivative of q**5/150 - q**4/18 + 2*q**3/15 + 333*q. Factor k(z).
2*z*(z - 3)*(z - 2)/15
Let v = -168 - -193. Let w be -1 + v/10 + (-3)/2. Factor -1/2*q**2 + 1/2*q + w.
-q*(q - 1)/2
Determine g so that 1/6*g**2 + 11/3*g - 23/6 = 0.
-23, 1
Let u(j) be the third derivative of -j**7/525 + 7*j**6/300 - 2*j**5/25 - 397*j**2. Factor u(w).
-2*w**2*(w - 4)*(w - 3)/5
Let i be ((-14)/8 - -3)*(-6)/(-5). Let k(j) be the first derivative of 5*j**2 - 1 + i*j**4 + 2*j + 14/3*j**3. Factor k(w).
2*(w + 1)**2*(3*w + 1)
Suppose 0 = 7*g - 5*g - 10. Suppose g*u - 3*u = 3*u. Determine i so that -1/3*i**2 + 1/3*i**3 + 0*i + u = 0.
0, 1
Let s(i) = 22*i**2 + 14*i + 24. Let p(k) = -2*k**2 - k. Let m(y) = -12*p(y) - s(y). Let m(u) = 0. What is u?
-3, 4
Factor -60/7 + 6/7*p**3 + 100/7*p**2 + 146/7*p.
2*(p + 2)*(p + 15)*(3*p - 1)/7
Let m = 191/129 + 5/258. Let 0 - 3*z - m*z**2 = 0. What is z?
-2, 0
Let v(c) be the third derivative of -c**4/24 - 34*c**2. Let h(j) = -15*j**3 - 55*j**2 - 44*j + 20. Let y(k) = -h(k) + 4*v(k). Factor y(g).
5*(g + 2)**2*(3*g - 1)
Let j(m) be the first derivative of -32/3*m**2 + 49 - 512/3*m - 2/9*m**3. Determine p so that j(p) = 0.
-16
Let x(m) be the first derivative of 9*m**5 + 20*m**4 - 20*m**3/3 - 89. Determine g so that x(g) = 0.
-2, 0, 2/9
Let i(l) be the third derivative of l**8/4032 + l**7/504 + l**6/144 + l**5/12 - 2*l**2. Let b(j) be the third derivative of i(j). Let b(t) = 0. Calculate t.
-1
Let q be (0 - (-3)/(-3)) + 21. Let o = -16 + q. Factor 9*z**2 + o - 23*z**2 + 13*z**2.
-(z - 2)*(z + 2)
Factor 154*f**2 - 648*f + 234*f**2 - 136*f**2 - 10*f**4 + 34*f**3 + 11*f**4.
f*(f - 2)*(f + 18)**2
Let q(h) be the second derivative of 2*h**7/21 - 16*h**6/15 + 22*h**5/5 - 8*h**4 + 6*h**3 + 30*h. What is f in q(f) = 0?
0, 1, 3
Suppose 7*k - 5*k = -6. Let a be (k/(-2))/((-3)/(-6)). Factor 5*d - 2 - 2*d - d**a + 4*d - 4*d.
-(d - 1)**2*(d + 2)
Factor 43 + 22*q - 37*q - 19 - 3*q**3 + 9*q + 18*q - 6*q**2.
-3*(q - 2)*(q + 2)**2
Let h(x) be the third derivative of x**8/840 - x**7/105 + x**6/45 - 13*x**3/6 + 14*x**2. Let k(c) be the first derivative of h(c). Suppose k(o) = 0. What is o?
0, 2
Let u be (-56)/(-63)*((-9)/(-12))/1. Let r(l) be the second derivative of -1/36*l**4 + 2*l + 2/9*l**3 + 0 - u*l**2. Suppose r(h) = 0. What is h?
2
Let i(v) be the second derivative of -v**6/10 + 3*v**5/10 - v**4/4 - 2*v + 15. Determine n, given that i(n) = 0.
0, 1
Let 572*m - 256*m + 2*m**3 + 36*m**2 - 226*m = 0. Calculate m.
-15, -3, 0
Let g(p) be the third derivative of p**6/30 - 19*p**4/6 - 20*p**3 + 427*p**2. Factor g(s).
4*(s - 5)*(s + 2)*(s + 3)
Let h be (-3)/5*2*(8/(-2) - 0). Find n such that h*n + 16/5 + 12/5*n**2 + 2/5*n**3 = 0.
-2
Let f(a) be the first derivative of 4 + 4/3*a**3 + 0*a + 0*a**2. What is k in f(k) = 0?
0
Let g(j) be the third derivative of j**7/105 - 3*j**6/10 + 3*j**5/2 + j**4/3 - 20*j**3 - 234*j**2. Factor g(w).
2*(w - 15)*(w - 2)**2*(w + 1)
Let s(o) be the second derivative of -2*o + 1/35*o**5 + 1/28*o**4 + 0*o**2 - 1/42*o**3 + 0. Let s(p) = 0. What is p?
-1, 0, 1/4
Let p(y) be the third derivative of 2/3*y**4 + 0*y**3 + 28*y**2 + 0*y + 0 + 2/15*y**7 - 4/5*y**5 - 3/10*y**6. Factor p(f).
4*f*(f - 2)*(f + 1)*(7*f - 2)
Suppose 4*i + 44 = -i + 54. Find s such that 0 - 1/5*s**3 + 0*s**i + 1/10*s**4 + 1/10*s**5 + 0*s = 0.
-2, 0, 1
Solve 9*u**2 + 15*u - 9*u**2 - 3*u**2 - 18 + 0*u**2 = 0.
2, 3
Let g be ((-27)/(-30))/((-6)/(-16)). Find p such that -8/5*p - 4/5*p**2 + g = 0.
-3, 1
Factor 2/3*z**4 + 4/3*z**2 + 2*z**3 + 0*z + 0.
2*z**2*(z + 1)*(z + 2)/3
Let j be ((-336)/(-585) - (-8)/(-12))/(9/(-30)). Factor 2/13*r**2 - j*r + 0.
2*r*(r - 2)/13
Suppose 10 = 2*x + 2*t, 0 = -0*x + x - 2*t - 5. Suppose 47*c**5 + 149*c**x - 7*c**3 - 32*c**2 - 201*c**3 - 280*c**4 = 0. What is c?
-2/7, 0, 2
Let f(q) be the second derivative of -q**4/90 - 5*q**3/9 - 8*q**2/5 + 7*q - 8. Factor f(w).
-2*(w + 1)*(w + 24)/15
Let h = 4146/5 + -829. Let o(w) be the first derivative of -1/15*w**3 + 5 - 1/5*w**2 - h*w. Determine z so that o(z) = 0.
-1
Determine a, given that 0*a + 3/5*a**4 + 0 + 6/5*a**3 - 9/5*a**2 = 0.
-3, 0, 1
Let b be -1*2 + (664 - 657). Determine g, given that 1/8*g**2 - 3/8*g**b - 1/8*g**4 + 0 + 5/8*g**3 - 1/4*g = 0.
-1, 0, 2/3, 1
Let b(s) = -s**4 + s**3 + 1. Let i(q) = 34*q**4 + 10*q**3 - 32*q**2 + 8*q + 8. Let h(m) = 8*b(m) - i(m). What is c in h(c) = 0?
-1, 0, 2/7, 2/3
Let f(w) be the second derivative of w**4/54 - 86*w**3/9 + 1849*w**2 + 3*w + 6. Solve f(j) = 0 for j.
129
Let p(f) = -12 - 8*f**2 - f**2 + f**2 + 4 + 7*f**3. Let s(i) = -5*i**3 + 5*i**2 + 5. Suppose -3*g + 10*g = -56. Let h(l) = g*s(l) - 5*p(l).