ivative of k**4/16 - 24*k**3 + 3456*k**2 - 338*k. Factor f(m).
3*(m - 96)**2/4
Let g(x) = -x**3 - 2*x + 8. Let c be g(0). Let t(p) = 17*p**2 - 46*p - 63. Let n(r) = -11*r**2 + 31*r + 42. Let o(u) = c*n(u) + 5*t(u). Factor o(j).
-3*(j - 7)*(j + 1)
Let c be (-40)/(-6) + ((-8)/20 - (-252)/(-45)). What is u in -c*u + 4/3*u**2 - 2/3*u**3 + 0 = 0?
0, 1
Let h(d) = 59 - 120 + 62 - d. Let u(j) = j**2 - 10*j + 9. Let r(k) = -2*k**2 - 2*k. Let g be r(-4). Let n(q) = g*h(q) + 3*u(q). Factor n(i).
3*(i - 1)**2
Let m(k) = k**2 + 12*k - 85. Let n(s) = -s**2 - 6*s + 43. Let x(t) = 2*m(t) + 5*n(t). Factor x(l).
-3*(l - 3)*(l + 5)
Find k such that -5/2*k**2 - 145/2*k - 135 = 0.
-27, -2
Let i(l) = -3*l**2 - 25*l + 64. Let p(o) = 10*o**2 + 73*o - 193. Let f(t) = 7*i(t) + 2*p(t). Factor f(b).
-(b - 2)*(b + 31)
Suppose 3*j + 4 - 10 = 0. Determine b so that 0*b**2 + 0*b**j + 4*b**2 - 7*b**2 = 0.
0
Let h(m) be the third derivative of -m**6/360 + m**5/60 + m**4/8 + 5*m**3/18 + 5*m**2 + 2. Let h(r) = 0. What is r?
-1, 5
Let i(t) be the first derivative of 5*t**6/12 - 7*t**5/10 - t**4 + 2*t**3/3 + 57. Solve i(c) = 0 for c.
-1, 0, 2/5, 2
Let i(t) = -15*t**5 - 42*t**4 + 25*t**3 + 28*t**2. Let o(g) = 30*g**5 + 85*g**4 - 50*g**3 - 55*g**2. Let q(u) = 5*i(u) + 2*o(u). Suppose q(r) = 0. What is r?
-3, -2/3, 0, 1
Let l = -2437 + 2437. Factor l + 15/4*h - 3/4*h**2.
-3*h*(h - 5)/4
Let t(o) be the second derivative of 0 - 6*o - 1/4*o**4 + 0*o**2 - 2/3*o**3 + 1/20*o**5. Factor t(f).
f*(f - 4)*(f + 1)
Let x be 1*(50/10 - 2). Suppose -40/7*m**4 - 8/7*m - 6*m**x + 40/7*m**2 + 0 + 50/7*m**5 = 0. What is m?
-1, 0, 2/5, 1
Let o(r) = r**2 + 2*r - 3. Suppose 0 = 4*i - 0*g - 4*g - 4, -2*g = -i. Let q be o(i). Factor 0*a**q + 5*a + 3*a**5 - 3*a - 9*a**2 - 11*a**4 + 15*a**3.
a*(a - 1)**3*(3*a - 2)
Let q(b) be the first derivative of -b**3/3 - 7*b**2 + 34*b + 13. Let l be q(-16). Suppose 3/4*g - 1/4*g**l - 1/2 = 0. What is g?
1, 2
Let r = -14353/11 - -1305. What is n in -2/11*n**5 + 0*n + 2/11*n**2 + 0 - r*n**4 + 2/11*n**3 = 0?
-1, 0, 1
Let n(g) = -g**2 - 31*g + 18. Let t(m) = -3*m + 17*m - 4*m + 0 - 6. Let d(y) = 2*n(y) + 7*t(y). Factor d(k).
-2*(k - 3)*(k - 1)
Suppose 4 - 23 = f - 5*d, -4*f = -4*d - 4. Suppose 12*t**4 - 24*t - 8 + 18*t**3 + 6*t**4 + 4*t**4 + f*t**5 - 14*t**2 = 0. What is t?
-2, -1, -2/3, 1
Let n(s) be the third derivative of 1/18*s**3 + 0*s**4 + 0*s**6 + 0 + 1/630*s**7 + 0*s + 9*s**2 - 1/90*s**5. Factor n(k).
(k - 1)**2*(k + 1)**2/3
Let u = 1665 + -1662. Factor 1/6 + 1/2*o + 1/6*o**u + 1/2*o**2.
(o + 1)**3/6
Let h(q) = -q**3 + 2*q**2 + 3*q + 3. Let l be h(3). Factor 0 - 3/2*f**4 + l*f + 6*f**3 - 15/2*f**2.
-3*f*(f - 2)*(f - 1)**2/2
Let h = -105 - -107. Suppose -3*k + 4 = -2*c - 0, -2*c - h*k = -16. Let -9*f**2 + 6*f**3 - 3/2*f**c + 6*f - 3/2 = 0. Calculate f.
1
Let b = -1840 - -1840. Let k(x) be the third derivative of 5*x**2 + 0*x**3 + 0*x - 1/105*x**7 + 1/6*x**4 - 1/30*x**6 + b + 1/30*x**5. Factor k(f).
-2*f*(f - 1)*(f + 1)*(f + 2)
Suppose 0 = -17*g + 15*g + 4. Factor 3*l - 25*l**3 - 5 + l**4 + 2*l + 10*l**g + 9*l**4 + 5*l**2.
5*(l - 1)**3*(2*l + 1)
Let -2*h + 12/7 + 2/7*h**2 = 0. What is h?
1, 6
Let u = -56580/7 - -8085. Suppose u*f**4 + 2/7*f**2 + 0 - 17/7*f**3 + 0*f = 0. What is f?
0, 2/15, 1
Let c be (56/20 - 2)*(15 - (-182)/(-13)). Let 0*y + c*y**4 + 4/5*y**2 + 0 - 8/5*y**3 = 0. Calculate y.
0, 1
Let n(v) = -2*v + 12 - 16 + 5*v. Let f be n(3). Solve -25 + 35*w**2 - 60*w**3 - 26 + 51 - f*w = 0 for w.
0, 1/4, 1/3
Let q(x) = -19*x**4 + 60*x**3 - 66*x**2 + 38*x - 3. Let p(l) = -9*l**4 + 29*l**3 - 33*l**2 + 19*l - 2. Let s(v) = 5*p(v) - 2*q(v). What is o in s(o) = 0?
4/7, 1
Suppose -8/3 - 14/3*t - t**2 = 0. What is t?
-4, -2/3
Let p(l) be the first derivative of -15*l**3 + 0*l + 35/4*l**4 + 5*l**2 - 1. Solve p(z) = 0.
0, 2/7, 1
Let g(t) = -4*t**2 + 4*t. Let y(z) = 10*z + 8*z**2 - 26*z + 8*z**2. Let a be (-2)/(-7) - (-24)/14. Let c(m) = a*y(m) + 9*g(m). Determine n, given that c(n) = 0.
0, 1
Let q = -34617/5 + 6924. What is v in -q*v**2 - 6*v - 15 = 0?
-5
Let n be 6/(-4)*(-1)/((-3)/(-14)). Let o = n - 3. Determine j, given that 0*j - 2/5*j**5 + 0 + 4/5*j**3 + 0*j**2 - 2/5*j**o = 0.
-2, 0, 1
Let o(h) be the second derivative of h**8/3360 + h**7/1260 - h**6/360 - h**5/60 - h**4/3 + 10*h. Let f(a) be the third derivative of o(a). Factor f(l).
2*(l - 1)*(l + 1)**2
Let a(j) be the first derivative of -j**3/9 + 7*j**2/3 + 5*j - 592. Factor a(c).
-(c - 15)*(c + 1)/3
Let w(d) be the second derivative of -9*d - 1/9*d**4 + 1/3*d**3 - 1/63*d**7 + 1/15*d**6 + 0 - 1/15*d**5 - 1/3*d**2. Factor w(l).
-2*(l - 1)**4*(l + 1)/3
Suppose -4*h - 3 = p + 1, -3*h - 2*p - 8 = 0. Let v be h/(-1) + -3 + (-1404)/(-390). Factor -2/5 + v*s - 1/5*s**2.
-(s - 2)*(s - 1)/5
Let k(i) = -8*i**2 - 38*i. Let x(j) = -23*j**2 - 114*j. Let h(w) = -17*k(w) + 6*x(w). Factor h(q).
-2*q*(q + 19)
Determine m, given that 0 + 2/3*m**3 - 56/3*m + 18*m**2 = 0.
-28, 0, 1
Let f = -4 + -62. Let g = 202/3 + f. Suppose -g - 2/3*v**2 - 2*v = 0. Calculate v.
-2, -1
Let n(a) be the second derivative of 5*a**7/273 - 19*a**6/65 - 19*a**5/65 + 4*a**4/13 - 168*a. Determine x, given that n(x) = 0.
-1, 0, 2/5, 12
Let g(n) be the first derivative of 2*n**3/27 + 4*n**2/3 + 40*n/9 - 97. Solve g(r) = 0 for r.
-10, -2
Factor -14/5*c + 2 + 4/5*c**2.
2*(c - 1)*(2*c - 5)/5
Let q(j) be the second derivative of j**9/3024 - j**8/448 + j**7/252 + 17*j**4/12 - 9*j. Let k(m) be the third derivative of q(m). Determine t so that k(t) = 0.
0, 1, 2
Suppose n + 3*n - 16 = 0. Solve 0*v + 0 - 4/5*v**2 - 18/5*v**3 - 4*v**n = 0.
-1/2, -2/5, 0
Let y(l) be the second derivative of -l**5/5 - l**4/3 + 10*l**3/3 - 6*l**2 - l + 40. Factor y(z).
-4*(z - 1)**2*(z + 3)
Suppose 2*j + s - 12 = 0, 0*j - 3*s = -4*j + 4. Let h(p) be the third derivative of 0 + 1/330*p**5 + 0*p**3 + 1/660*p**6 + 0*p + 0*p**j - p**2. Factor h(n).
2*n**2*(n + 1)/11
Let z = 92 - 46. Factor 4*w**4 + 4*w**3 + z*w**5 - 96*w**5 - 4*w**2 + 46*w**5.
-4*w**2*(w - 1)**2*(w + 1)
Let j(i) = -i**3 + 10*i**2 + 9*i - 6. Let k(w) = w**3 - 20*w**2 - 18*w + 13. Let m(o) = -15*j(o) - 6*k(o). Factor m(p).
3*(p - 4)*(p + 1)*(3*p - 1)
Factor 45525 + 39*t**2 - 540*t - 9075 - 37*t**2.
2*(t - 135)**2
Suppose -f = -2*n + 6, 6 - 14 = 4*f - 4*n. Let 4/9 + 2/3*p + 2/9*p**f = 0. Calculate p.
-2, -1
Let d(p) = p**2 + p - 3. Let a be d(-3). Let c = 500 - 1499/3. Let -c*x**a + 2/3*x + 0 - 1/3*x**2 = 0. Calculate x.
-2, 0, 1
Let o(n) be the first derivative of -2*n**5/55 - 5*n**4/22 - 8*n**3/33 + 44. Factor o(q).
-2*q**2*(q + 1)*(q + 4)/11
Let g(t) = 4*t + 24. Let q(m) = -6*m**2 - 2*m - 1. Let s be q(-1). Let i be g(s). Factor -2/3*j**i + 2/3*j**3 + 4/3 + 2*j**2 - 10/3*j.
-2*(j - 1)**3*(j + 2)/3
Factor -4*d**3 + 13*d**3 - 4*d**3 + 10*d - 15*d**2.
5*d*(d - 2)*(d - 1)
Factor -92*u**3 + 32*u**3 + 48*u**3 + 141*u + 561*u**2.
-3*u*(u - 47)*(4*u + 1)
Let s(o) be the first derivative of -4/5*o + 3/5*o**2 - 2/15*o**3 - 3. Factor s(h).
-2*(h - 2)*(h - 1)/5
Let x be ((-5)/10)/(3/(-18)). Factor 42*v**4 - 32*v**4 - 5*v**3 - 2*v**5 - x*v**5.
-5*v**3*(v - 1)**2
Suppose 3*f - 1 = 8. Suppose 0 = 10*n + 2*n - 24. Suppose -l**2 - 4*l**2 + 20*l - 15 - 3*l**2 + f*l**n = 0. Calculate l.
1, 3
Let b(c) be the second derivative of 0*c**2 + 1/60*c**6 + 0*c**5 + 0 - 1/6*c**3 - 8*c - 1/8*c**4. Factor b(r).
r*(r - 2)*(r + 1)**2/2
Let q(z) = -5*z + 4*z + 2 + 8 - 1. Let b be q(7). Suppose 2*y - 8 - 6*y - 2*y**b + 0*y**2 - 4*y = 0. What is y?
-2
Let q be (-12 - 102/(-17))*(-1)/3. Factor 2/3 + 2/3*f**4 + 8/3*f**3 + 4*f**q + 8/3*f.
2*(f + 1)**4/3
Suppose 25*r**2 + 68*r**2 - 15*r**5 + 63*r**3 + 54*r**2 - 36 - 39*r**4 + 24*r = 0. Calculate r.
-3, -1, 2/5, 2
Find c such that 814 + 39*c - 395 - 9*c**3 - 48*c**2 - 401 = 0.
-6, -1/3, 1
Factor 0*h + 0 + 5/2*h**2 - 2*h**3 - 1/2*h**4.
-h**2*(h - 1)*(h + 5)/2
Let 2/11*d**3 + 2/11*d + 0 - 4/11*d**2 = 0. Calculate d.
0, 1
Let x be (-2)/(-4) + 1182/12. Let n be 57/11 + (-18)/x. Factor -1/2*b**n - b**2 + 0 + 1/2*b + b**4 + 0*b**3.
-b*(b - 1)**3*(b + 1)/2
Determine x so that 14/3*x + 2/3*x**2 - 12 = 0.
-9, 2
Let 3 + 0*o**5 - 15*o**4 - 6*o**2 + o**5 - 4*o**3 + o - 3*o**4 + 2*o**3 + 21*o**4 = 0. What is o?
-3, -1, 1
Let s(z) = -44*z + 1542. Let i be s(35). Factor 2/9*g**i - 8/9 + 2/9*g**3 - 8/9*g.
2*(g - 2)*(g + 1)*(g