 of 0 - 1/225*u**5 - 4/45*u**3 + 0*u - 7/180*u**4 + 36*u**2 + 1/900*u**6. Factor k(h).
2*(h - 4)*(h + 1)**2/15
Solve -1/2*k**4 - 3*k**3 - 9/2*k**2 + 0 - 2*k = 0.
-4, -1, 0
Let n = -30 - -94. Suppose 15*r**4 + 64 - 6*r + 24*r**3 + 3*r**2 - n = 0. What is r?
-1, 0, 2/5
Let p be (-68)/(-22) + (-109)/1199. Determine q, given that -6*q**2 - 27/2*q**p - 1 + 13/2*q = 0.
-1, 2/9, 1/3
Let v(p) be the second derivative of -5*p**4/12 + 10*p**3/3 + 25*p**2/2 - 294*p. Factor v(a).
-5*(a - 5)*(a + 1)
Let v be -10 + 25 - (4 + 1). Let q be ((-55)/v - -1)/(6/(-4)). Factor 0*l**2 + 2/3*l**q - 4/3 - 2*l.
2*(l - 2)*(l + 1)**2/3
Let t(f) = 202*f - 13530. Let b be t(67). Find q, given that -1/2*q**5 - 24*q - 16*q**3 + 8 + 9/2*q**b + 28*q**2 = 0.
1, 2
Let n = 206 - -64. Let d = 818/3 - n. Solve -10/3*j**3 + d - 14/3*j**2 + 16/3*j = 0 for j.
-2, -2/5, 1
Find j such that j**3 + 61*j**3 - 11*j**3 + 20*j - 27*j**4 + 3*j**5 + 28*j - 108*j**2 + 33*j**3 = 0.
0, 1, 2, 4
Let k(x) be the third derivative of -1/25*x**5 + 2/525*x**7 - 30*x**2 - 1/75*x**6 + 0 + 0*x**3 + 0*x + 0*x**4. Find j, given that k(j) = 0.
-1, 0, 3
Find r such that 16/3*r - 2 + 22/3*r**2 = 0.
-1, 3/11
Let m(k) be the first derivative of -2*k**2 - 11*k - 2/3*k**3 - 6 - 1/12*k**4. Let c(a) be the first derivative of m(a). Solve c(p) = 0.
-2
Factor 9/4*h**4 + 27/4*h + 33/4*h**3 + 3/2 + 45/4*h**2.
3*(h + 1)**3*(3*h + 2)/4
Let k be (-34)/(-48) + (-9)/24. Let b(g) be the second derivative of 1/3*g**4 + 0 + k*g**3 + g - g**2. Factor b(t).
2*(t + 1)*(2*t - 1)
Find k, given that 12*k**2 - 14/3*k - 2*k**5 - 44/3*k**3 + 2/3 + 26/3*k**4 = 0.
1/3, 1
Let p(v) be the first derivative of -v**5/4 + 5*v**4/2 + v - 14. Let m(t) be the first derivative of p(t). Let m(r) = 0. What is r?
0, 6
Let p(m) be the first derivative of 0*m**2 - 1/540*m**6 + 0*m - 1/9*m**4 - 8 - 1/45*m**5 + 5/3*m**3. Let j(n) be the third derivative of p(n). Factor j(t).
-2*(t + 2)**2/3
Let t(x) be the second derivative of -2*x**6/45 + 4*x**4/3 + 32*x**3/9 + 44*x. Find h such that t(h) = 0.
-2, 0, 4
Let q = 92 - 86. Let s(n) be the second derivative of 0*n**4 - 1/231*n**7 + 0*n**2 + 1/165*n**6 + 0 + 1/55*n**5 - q*n + 0*n**3. Factor s(r).
-2*r**3*(r - 2)*(r + 1)/11
Factor -5/4*b**3 + 5/4*b - 15/4*b**2 + 15/4.
-5*(b - 1)*(b + 1)*(b + 3)/4
Factor 0 - 1/4*x**5 + 2*x**3 - 2*x**4 - 36*x + 24*x**2.
-x*(x - 2)**2*(x + 6)**2/4
Factor -19/10*v - 7/10*v**2 - 1.
-(v + 2)*(7*v + 5)/10
Let y(j) = j**2 + 11*j - 5. Let a be y(-12). Suppose -4*i = -a*i + 9. Determine g so that -7*g + 12 - 12*g**3 + 8*g**i + 20*g**2 - 21*g = 0.
1, 3
Suppose -217*y = -220*y. Let s(n) be the third derivative of 0*n**4 + 0*n - 1/30*n**6 + 0*n**5 + 0 - 1/105*n**7 - 3*n**2 + y*n**3. Let s(t) = 0. Calculate t.
-2, 0
Suppose 50*a = 48*a - 8. Let f be (10/225)/((-5)/480*a). Factor 0*l - 4/15*l**2 + 2/3*l**5 + 2/15*l**3 + 0 + f*l**4.
2*l**2*(l + 1)**2*(5*l - 2)/15
Factor 0 - 4/7*u**4 + 2/7*u**3 + 2/7*u**2 + 0*u.
-2*u**2*(u - 1)*(2*u + 1)/7
Let i(c) be the second derivative of 1/3*c**4 + 16*c + 2/3*c**3 + 0 + 0*c**2. Let i(p) = 0. Calculate p.
-1, 0
Let k(f) be the first derivative of 0*f + 7 + 0*f**2 + 2/9*f**3. Factor k(p).
2*p**2/3
Let g be 24*-1*((-85)/70)/17. Let l = -46/35 + g. Determine u so that -l*u**2 - 8/5*u - 8/5 = 0.
-2
Suppose 2 + 61 = 7*t. Let -72*b**4 - 28*b**5 - t + 27*b - 15 - 7*b + 96*b**2 + 5*b**3 + 3*b**3 = 0. Calculate b.
-2, -1, 3/7, 1
Let c(u) be the second derivative of 2/3*u**3 + 5/12*u**4 + 3*u**2 + 0 + 2/15*u**5 - 4*u + 1/60*u**6. Let r(p) be the first derivative of c(p). Factor r(j).
2*(j + 1)**2*(j + 2)
Factor 1725*x**3 - 1737*x**3 - x**4 + 9*x**4 + 4*x.
4*x*(x - 1)**2*(2*x + 1)
Let m(d) be the first derivative of d**5/25 + d**4/5 + d**3/15 - 3*d**2/5 - 146. Find b such that m(b) = 0.
-3, -2, 0, 1
Let k(a) be the first derivative of 31 + 1/6*a**6 + a**3 - 3/5*a**5 + 2*a**2 - 5/4*a**4 + 0*a. Factor k(c).
c*(c - 4)*(c - 1)*(c + 1)**2
Let l(h) = -5*h**2 - 125*h - 353. Let a(c) = 2*c**2 + 42*c + 118. Let f(k) = 7*a(k) + 2*l(k). Find p such that f(p) = 0.
-6, -5
Let n = -46/29 + 259/145. Let j(u) be the second derivative of 1/105*u**7 + 1/15*u**3 + 1/75*u**6 + u - 1/25*u**5 + 0 - 1/15*u**4 + n*u**2. Solve j(x) = 0.
-1, 1
Suppose -29*c = -36*c. Let w(j) be the third derivative of 0*j + 0*j**4 + 0*j**5 + 1/240*j**6 - 4*j**2 + 0*j**3 + 1/420*j**7 + c. Factor w(g).
g**3*(g + 1)/2
Let x be ((-3)/4)/(7/(-28)). Find m, given that 5 + 0*m + x + 2*m**2 + 4*m - 12*m = 0.
2
Suppose 2*b - 2 + 1 = -y, 4*y + 5*b - 1 = 0. Let q be (-1*(-15)/(-10))/(y/2). Factor 0*f**2 - 3/4*f + 1/4*f**q + 1/2.
(f - 1)**2*(f + 2)/4
Let i(k) be the second derivative of -k**4/12 - 13*k**3/6 + 34*k**2 - 212*k. Find g such that i(g) = 0.
-17, 4
Let u(k) = 21*k**2 + 24*k - 3. Let c(a) = a**3 + 62*a**2 + 73*a - 8. Let q(o) = -3*c(o) + 8*u(o). Factor q(j).
-3*j*(j + 3)**2
Let s be (-2 - 10/(-4))*(6 - 0). Suppose z - s*z = z. Let 3/4*n**2 + z - 1/2*n - 1/4*n**3 = 0. Calculate n.
0, 1, 2
Let s(k) = -k**5 - 47*k**4 - 105*k**3 - 100*k**2 - 29*k. Let q(b) = 3*b**5 + 93*b**4 + 211*b**3 + 200*b**2 + 59*b. Let c(p) = -3*q(p) - 5*s(p). Factor c(m).
-4*m*(m + 1)**3*(m + 8)
Let l = 49 + -46. Let p(b) be the first derivative of -1/5*b**l - 1 + 0*b**2 - 3/20*b**4 + 0*b. Determine c so that p(c) = 0.
-1, 0
Let v(k) be the second derivative of k**5/15 - 2*k**4/9 - 2*k**3/9 + 4*k**2/3 - k - 110. Factor v(l).
4*(l - 2)*(l - 1)*(l + 1)/3
Let l be (-5)/(-6) + (-2 - 3/(-2)). Let d be (2/6 - 1)/(-2). Factor -1/3*c + d + l*c**3 - 1/3*c**2.
(c - 1)**2*(c + 1)/3
Factor -1/3*a - 2/3*a**2 + 1/3*a**5 + 0*a**3 + 0 + 2/3*a**4.
a*(a - 1)*(a + 1)**3/3
Let q(v) be the second derivative of 1/12*v**6 + 33/80*v**5 + 2/3*v**3 + 0*v**2 + 6*v + 0 + 5/6*v**4 + 1/168*v**7. Factor q(m).
m*(m + 1)**2*(m + 4)**2/4
Let q(v) = -7*v**2 + 32*v. Let b(o) = -3*o**2 + 15*o. Let s(d) = 15*b(d) - 6*q(d). Factor s(h).
-3*h*(h - 11)
Let a(x) be the third derivative of 5*x**6/18 - x**5/3 + x**4/6 - x**3 - x**2. Let i(m) be the first derivative of a(m). Factor i(w).
4*(5*w - 1)**2
Let r(m) be the first derivative of -m**6/195 + 2*m**5/65 + m**4/39 - 4*m**3/13 - 9*m**2/13 + 16*m - 15. Let h(w) be the first derivative of r(w). Factor h(u).
-2*(u - 3)**2*(u + 1)**2/13
Factor 0 - 70/19*k - 2/19*k**2.
-2*k*(k + 35)/19
Let l be (1 + 5 + -7)*(-1 + 1). Let n(b) be the first derivative of 1/11*b**4 - 5 + 2/33*b**3 + 0*b + 2/55*b**5 + l*b**2. Factor n(u).
2*u**2*(u + 1)**2/11
Let w(y) = y**2 + 6*y + 5. Let r be w(-5). Suppose 2*v = 5*f - r*v - 48, -f - 4*v - 8 = 0. Factor -10*k**3 + 6*k**2 + 17*k**4 - 6*k**3 + k**3 - f*k**4.
3*k**2*(k - 1)*(3*k - 2)
Let x(f) = 3*f**3 - 1020*f**2 - 69364*f - 1572160. Let s(t) = -5*t**3 + 1020*t**2 + 69365*t + 1572160. Let d(c) = -4*s(c) - 5*x(c). Factor d(w).
5*(w + 68)**3
Let a(o) be the first derivative of -2*o**3/27 + 7*o**2/9 - 8*o/3 + 60. Suppose a(x) = 0. What is x?
3, 4
Let g(j) be the third derivative of -j**5/105 + j**4/42 + 4*j**3/7 - 11*j**2 - 1. Let g(w) = 0. Calculate w.
-2, 3
Factor 4/3*h**2 + 0*h + 0 + 1/3*h**5 + 3*h**3 + 2*h**4.
h**2*(h + 1)**2*(h + 4)/3
Factor -1/4*s**3 + 68*s - 7*s**2 - 144.
-(s - 4)**2*(s + 36)/4
Let u be (816/(-952))/((-18)/24). Factor -2/7*d**2 - 8/7 + u*d.
-2*(d - 2)**2/7
Let y(n) = 2*n**3 - 8*n**2 + n - 4. Let t be y(4). Let j be 4*(-1)/35*(-5 + t). Factor -10/7*o**2 + 0 + j*o.
-2*o*(5*o - 2)/7
Let n be (-1)/(((-9)/(-3))/12). Let g = n + 6. Factor -5*z**g + 15*z**2 - 2*z**4 + z**5 - 10*z**2.
z**4*(z - 2)
What is q in 16/3*q - 2*q**3 - 1/3*q**4 - 4 + q**2 = 0?
-6, -2, 1
Let k(u) = u**2 - 16*u - 80. Let i be k(20). Let f(v) be the second derivative of 3/10*v**5 - 1/4*v**4 + i*v**2 - 1/10*v**6 + 0 + 0*v**3 + 4*v. Factor f(h).
-3*h**2*(h - 1)**2
Let j(p) be the first derivative of -p**6/1800 + 3*p**5/100 - 27*p**4/40 - 5*p**3/3 + 2*p**2 + 48. Let o(t) be the third derivative of j(t). Factor o(d).
-(d - 9)**2/5
Let a(k) be the second derivative of k**5/4 + 20*k**4/3 - 5*k**3/6 - 40*k**2 - 2*k + 15. Solve a(q) = 0.
-16, -1, 1
Let s = 429 - 429. Let h(l) be the second derivative of s + 1/195*l**6 - 1/39*l**4 + 0*l**5 - 6*l + 1/13*l**2 + 0*l**3. Solve h(r) = 0 for r.
-1, 1
Suppose 24 = 5*i - 2*v - 1, -5*v = 5*i + 10. Suppose i*b - 2*z - 18 = 0, -b = b - 2*z - 14. Factor 23*d**2 + 12*d - 21*d**2 + 6 - b*d.
2*