iven that z**2 + 6*z**2 + 2*z**2 - 14*z**2 + z**2 + 40*z = 0.
0, 10
Let u(o) be the third derivative of -o**7/1155 + o**6/660 + o**5/55 - o**4/33 - 8*o**3/33 - 4*o**2 - 12. Solve u(a) = 0.
-2, -1, 2
Factor -75*n**2 - 4*n**3 + 2*n**3 + 71*n**2.
-2*n**2*(n + 2)
Let g = -44 + 45. Let m(q) = q**5 + q**4 + q**3 + q**2 + 1. Let a(s) = 14*s**5 + 28*s**4 + 22*s**3 + 8*s**2 + 4. Let d(u) = g*a(u) - 4*m(u). Factor d(x).
2*x**2*(x + 1)**2*(5*x + 2)
Let t(g) be the second derivative of 2*g**7/21 - 4*g**6/15 + 2*g**4/3 - 2*g**3/3 - 122*g. Let t(u) = 0. What is u?
-1, 0, 1
Let k(q) = 169*q**2 + 1065*q - 134. Let l(f) = -56*f**2 - 355*f + 46. Let x(m) = 4*k(m) + 11*l(m). Determine u so that x(u) = 0.
-6, 1/12
Factor -4*h - 10*h - 8841 + 8841 + h**2.
h*(h - 14)
Let t(a) be the third derivative of 0 + 27/2*a**4 + 0*a + 7/6*a**6 - 18*a**3 + 33/5*a**5 + 19*a**2 + 8/105*a**7. Determine g so that t(g) = 0.
-3, 1/4
Let k(f) be the third derivative of -f**8/60480 - f**7/7560 - 2*f**5/15 + 10*f**2. Let p(x) be the third derivative of k(x). Factor p(r).
-r*(r + 2)/3
Let t(n) be the third derivative of n**7/42 - n**6/60 - n**5/3 + n**4/3 - 147*n**2. Find q such that t(q) = 0.
-2, 0, 2/5, 2
Suppose -28 + 36 = 4*m, -3*a = 5*m - 16. Let g(y) be the third derivative of 0 + 0*y - 1/390*y**5 - 4*y**a + 0*y**3 + 0*y**4. Solve g(w) = 0 for w.
0
Factor c**4 - 130*c**3 + 4*c - 129*c**3 - c**2 + 255*c**3.
c*(c - 4)*(c - 1)*(c + 1)
Let q be (7 - (-1 + 2)) + (-3 - 1). What is x in -136*x**2 + 5*x**3 + 2 + 133*x**2 - 1 - q*x**4 - x = 0?
-1/2, 1
Let a(x) be the third derivative of -x**6/30 + 37*x**5/15 - 323*x**4/6 - 722*x**3/3 - 15*x**2 + 5. What is q in a(q) = 0?
-1, 19
Let t(h) = 5*h**2 + 4*h + 16. Let a(i) = i**2. Let k(d) = 14*a(d) - 2*t(d). Suppose k(p) = 0. What is p?
-2, 4
Let k(i) = 5*i**5 + 7*i**4 - 4*i**3 - 6*i**2 - 6*i - 12. Let p(x) = -x**5 - x**4 + x**3 + x**2 + x + 2. Let s(a) = k(a) + 6*p(a). Factor s(v).
-v**3*(v - 2)*(v + 1)
Let y(n) = -n**2 - 10*n - 4. Let f be y(-9). Factor -4*x**3 - 9*x + 8*x**4 - 2*x**4 - 2 + 15*x - 2*x**f - 4*x**2.
-2*(x - 1)**4*(x + 1)
Suppose 4*m + 5*i = -5, 4 + 11 = -m - 4*i. Find a, given that -m*a**2 - 10*a + 174*a**4 - 84*a**4 - 5*a**5 + 15*a**3 - 85*a**4 = 0.
-1, 0, 1, 2
Let c(g) = 39*g**4 + 357*g**3 + 1692*g**2 + 1962*g + 618. Let a(h) = 10*h**4 + 89*h**3 + 423*h**2 + 491*h + 155. Let r(u) = -15*a(u) + 4*c(u). Factor r(z).
3*(z + 1)*(z + 7)**2*(2*z + 1)
Suppose -32*u = -1042 + 946. Solve -6/11 - 14/11*j - 10/11*j**2 - 2/11*j**u = 0.
-3, -1
Let z be ((-3)/(-14))/(-12*13/(-182)). Let x(o) be the first derivative of -6 + 0*o + 0*o**2 + z*o**3. Factor x(j).
3*j**2/4
Let i(a) = -a**2 - 3*a + 4. Let y be i(-4). Suppose 9*z = 27 - y. What is l in -2/5*l**2 + 0*l + l**4 - 3/5*l**z + 0 = 0?
-2/5, 0, 1
Factor -52*h - 203*h + 21*h**2 + 450 - 8*h**3 - h**3 + 27*h**2 + 6*h**3.
-3*(h - 6)*(h - 5)**2
Let g(f) = -15*f**3 + 9*f**2 + 23*f - 11. Let p(r) = 15*r**3 - 7*r**2 - 24*r + 10. Let j(c) = -6*g(c) - 5*p(c). Factor j(z).
(z + 1)*(3*z - 2)*(5*z - 8)
Let b be (-72)/(-33) - (-86)/(-473). Let -18/7*v**3 + 0 - 12/7*v**b - 2/7*v = 0. What is v?
-1/3, 0
Let c = -2 + 3. Let a = -8 - -12. Let b(l) = -l**3 - l. Let j(q) = 6*q**3 + 2*q**2 + 4*q. Let x(w) = a*b(w) + c*j(w). Factor x(k).
2*k**2*(k + 1)
Let n(r) be the third derivative of -r**8/2520 + r**7/525 - 2*r**5/225 + 75*r**2. Factor n(k).
-2*k**2*(k - 2)**2*(k + 1)/15
Let k(q) be the third derivative of -q**5/150 - q**4/30 - 115*q**2. Solve k(j) = 0 for j.
-2, 0
Let p(q) be the third derivative of -5/24*q**4 + 0*q + 1/12*q**5 - 1/42*q**7 + 1/24*q**6 + 2*q**2 + 0*q**3 + 0. Factor p(b).
-5*b*(b - 1)**2*(b + 1)
Factor -2/13*b**3 + 0 + 16/13*b**2 - 32/13*b.
-2*b*(b - 4)**2/13
Suppose -4*h + 29*m - 30*m + 6 = 0, 5*m = -10. Factor -h*d**3 + 0 - 4/3*d + 14/3*d**2.
-2*d*(d - 2)*(3*d - 1)/3
Let m(k) be the first derivative of 0*k**2 + 8 - 3/4*k**4 + 3*k**3 - 12*k. Find i, given that m(i) = 0.
-1, 2
Let m(x) be the first derivative of x**6/21 - 74*x**5/35 + 215*x**4/7 - 2444*x**3/21 - 3887*x**2/7 - 4394*x/7 + 91. Factor m(d).
2*(d - 13)**3*(d + 1)**2/7
Let f = -603 + 613. Let k(n) be the second derivative of -f*n + 6/5*n**6 + 4/3*n**4 - 2*n**2 + 0 - 5/21*n**7 - 11/5*n**5 + n**3. Determine l so that k(l) = 0.
-2/5, 1
Let o be 4 - (-9)/((-9)/2). Let t(v) be the second derivative of -4/33*v**4 - 1/22*v**5 - 1/11*v**3 - v + 0*v**o + 0. Factor t(z).
-2*z*(z + 1)*(5*z + 3)/11
Let o(u) be the third derivative of -3*u**8/56 - 37*u**7/70 - 29*u**6/20 + 3*u**5/20 + 9*u**4/4 + 3*u**2 - 9*u. Determine n, given that o(n) = 0.
-3, -2/3, 0, 1/2
Let z(d) be the first derivative of d**5/5 + 37*d**4/2 - 76*d**3/3 - 37*d**2 + 75*d - 131. What is a in z(a) = 0?
-75, -1, 1
Let u be (-4)/(-14) - -5101*3/21. Solve -2*b**3 - b**3 - 1615 + 15 - 587 - u*b - 81*b**2 = 0.
-9
Let o(z) be the first derivative of 5*z**3/3 - 25*z**2 + 80*z + 106. Find y such that o(y) = 0.
2, 8
Let p be 0 + 2/(-14) - (-225)/7. Suppose -2*f = -2*i + 4*i - 14, -i + 5 = 0. Find s such that f*s - s**2 - 17 - 16 + p = 0.
1
Let u(q) be the second derivative of 17*q**4/12 + 29*q**3/18 + 2*q**2/3 - 696*q. Suppose u(m) = 0. What is m?
-1/3, -4/17
Let u = -175 + 1243/7. Let l = -3658/63 + 574/9. Factor -u*s**2 + l*s - 8/7.
-2*(s - 2)*(9*s - 2)/7
Let b(t) be the third derivative of 7*t**6/540 - 17*t**5/270 + 13*t**4/108 - t**3/9 + 2*t**2 + 67. Factor b(c).
2*(c - 1)**2*(7*c - 3)/9
Suppose -5*j + 14 = -2*g, -3*j + 4 = -2*j - g. Suppose -s + 2*h = -j*h - 24, -27 = -2*s + h. Factor -5*r + 4*r**3 + s*r**4 + 5*r**3 + 7*r**3 - 3*r - 4*r**2.
4*r*(r + 1)**2*(3*r - 2)
Suppose 9*v - 4*v = 40. Let y(q) = 5*q - 6*q - 3 + 3*q - q + 7*q**2. Let d(x) = 11*x**2 + 2*x - 5. Let a(r) = v*y(r) - 5*d(r). Let a(p) = 0. What is p?
1
Let n(v) be the third derivative of -1/48*v**6 - 1/48*v**5 + 0*v**3 + 2*v**2 + 0*v**4 - 1/168*v**7 + 0 + 0*v. Find f, given that n(f) = 0.
-1, 0
Suppose 4*g = 2*f + 2268, g + 4*f = 262 + 287. Factor -14*c**2 - 11*c**2 + 40*c + g - 545.
-5*(c - 2)*(5*c + 2)
Suppose -2*x - 18 = -5*x. Find a, given that a**3 - x*a + 7*a**3 - 29*a**3 - 27*a**2 = 0.
-1, -2/7, 0
Solve -1458 + 7182*d + 72*d**3 - 303*d**3 - 8*d**4 + 8*d**3 - 47*d**3 - 152*d**3 - 5294*d**2 = 0.
-27, 1/4, 1
Let w(s) be the third derivative of -1/420*s**6 + 0*s + 1/42*s**4 - 19*s**2 + 0 - 1/210*s**5 + 0*s**3. Determine f so that w(f) = 0.
-2, 0, 1
Let a be 8/(5 - 12/4). Determine v so that -8*v**a - 4*v - 26*v**3 - 15*v**2 + 0*v - 7*v**2 = 0.
-2, -1, -1/4, 0
Suppose -1/4*p**4 + 0*p - 3/2*p**2 + 0 - 7/4*p**3 = 0. Calculate p.
-6, -1, 0
Factor 54*d**2 + 17362*d + 12*d**3 - 17347*d + 9*d**2.
3*d*(d + 5)*(4*d + 1)
Solve 9/8*u**2 + 3/8*u**3 - 3/8*u**4 + 3/4 - 15/8*u = 0.
-2, 1
Let j(m) = -m**2 - 8*m - 3. Suppose 0 = -16*b + 17*b + 5. Let w be j(b). Factor w*c - 8*c**2 - 6 + 0*c**2 - 12*c**3 + 14.
-4*(c - 1)*(c + 1)*(3*c + 2)
Let x(m) be the second derivative of m**8/10080 + m**7/420 + 29*m**4/12 + 39*m. Let q(j) be the third derivative of x(j). Find l, given that q(l) = 0.
-9, 0
Let g = -9 + 4. Let o(y) = -y**3 - y + 1. Let t(h) = h**5 + 11*h**4 + 51*h**3 + 90*h**2 + 86*h + 22. Let w(a) = g*o(a) - t(a). Find p such that w(p) = 0.
-3, -1
Let w(d) be the first derivative of -4 + 1/135*d**6 + 0*d**4 + 1/180*d**5 + 0*d**2 + 0*d - 4/3*d**3. Let g(c) be the third derivative of w(c). Factor g(v).
2*v*(4*v + 1)/3
Let y(s) be the third derivative of s**7/4200 - s**6/600 - 11*s**3/3 + 26*s**2. Let w(j) be the first derivative of y(j). Factor w(b).
b**2*(b - 3)/5
Let i(k) be the third derivative of k**5/120 - 7*k**4/4 - 393*k**2. Let i(b) = 0. Calculate b.
0, 84
Let c(i) be the first derivative of i**6/18 + i**5/15 - i**4/4 - 5*i**3/9 - i**2/3 + 35. Factor c(f).
f*(f - 2)*(f + 1)**3/3
Suppose -b = -5*b + 5*z - 1, -4*b + z = -3. Let r be (-1 - 0)/(b/(-3)). Factor -2*x**4 + 11*x**r + x**4 - x**2 - 13*x**3.
-x**2*(x + 1)**2
Let m be 2/(-6)*3/(-2). Let x be (2915/132)/(-53) + 4/6. Factor -5/4*a + x*a**3 + m + 3/4*a**2 - 1/4*a**4.
-(a - 1)**3*(a + 2)/4
Let u(j) = j**2 + 4*j. Let l be u(-4). Suppose -2*r + r = 2*d - 4, l = 3*r - 5*d - 1. Determine k, given that 4*k + 6*k**2 + 133 + r*k**3 - 133 = 0.
-2, -1, 0
Let w(u) be the second derivative of u**6/150 + 4*u**5/25 - 9*u**4/10 + 28*u**3/15 - 19*u**2/10 + 226*u. Factor w(p).
(p 