be the third derivative of -1/3*g**3 + 40*g**2 + 0 - 1/360*g**6 + 0*g - 2/45*g**5 - 13/72*g**4. Find w such that m(w) = 0.
-6, -1
Let k(x) be the second derivative of 0*x**2 + x - 5/18*x**3 + 5/72*x**4 + 0. Determine s so that k(s) = 0.
0, 2
Let z(i) be the second derivative of -i**6/6 + i**5 + 95*i**4/12 + 35*i**3/3 - 32*i + 1. Factor z(v).
-5*v*(v - 7)*(v + 1)*(v + 2)
Let v = 2120 + -2117. Find r such that 4/25*r + 0 + 2/25*r**2 - 2/25*r**v = 0.
-1, 0, 2
Let k = 83 + -81. What is f in 16*f + f**3 - 8*f**k - 47*f**4 + 49*f**4 + 0*f**3 - 5*f**3 = 0?
-2, 0, 2
Let w(g) be the third derivative of -g**6/108 - g**5/90 + g**4/9 - 4*g**3/27 - 131*g**2. Solve w(u) = 0 for u.
-2, 2/5, 1
Let w(z) be the first derivative of -z**6/12 + z**5/10 + z**4 - 2*z**3 - 122. Factor w(l).
-l**2*(l - 2)**2*(l + 3)/2
Let q(n) be the third derivative of -n**6/210 - 81*n**5/35 - 6561*n**4/14 - 354294*n**3/7 + 18*n**2 - 9*n. Find k, given that q(k) = 0.
-81
Factor 33*r - 363/8 - 6*r**2.
-3*(4*r - 11)**2/8
Let m(j) be the third derivative of 1/3*j**3 + 1/10*j**5 - 1/15*j**6 + 0 - 1/16*j**4 + 0*j - 5*j**2. Let r(g) be the first derivative of m(g). Factor r(u).
-3*(4*u - 1)**2/2
Let c(t) be the second derivative of -27*t**6/5 + 693*t**5/10 - 164*t**4/3 - 84*t**3 - 32*t**2 - 16*t + 2. Suppose c(k) = 0. What is k?
-2/9, 1, 8
Let a(l) be the third derivative of l**5/210 + 2*l**4/21 + 5*l**3/7 - 46*l**2. Suppose a(x) = 0. What is x?
-5, -3
Let p(z) = -z**2 - 7*z. Let j be p(-6). Let d(c) be the second derivative of 4*c + 0*c**4 + 0*c**2 - 1/60*c**5 - 1/90*c**j + 0 + 0*c**3. Factor d(v).
-v**3*(v + 1)/3
Let r(o) be the second derivative of -o**5/10 + o**4/2 - 2*o**3 + 2*o**2 + 8*o. Let n(t) = t**2 + t. Let y(w) = 4*n(w) + 2*r(w). Factor y(l).
-4*(l - 2)*(l - 1)**2
Let q(s) be the first derivative of s**4/7 - 16*s**3/21 + 8*s**2/7 - 63. Find v, given that q(v) = 0.
0, 2
Let g(o) be the second derivative of -o**4/18 + 146*o**3/27 - 32*o**2/3 - o - 112. Suppose g(h) = 0. Calculate h.
2/3, 48
Let w(s) = -9*s**2 - 7*s + 6. Let p be w(-6). Let t = p + 280. Factor -120/7*k**t - 8/7 + 200/7*k**3 + 60/7*k + 4*k**5 - 160/7*k**2.
4*(k - 1)**4*(7*k - 2)/7
Let k be ((-24)/40)/(2 + 27/(-15)). Let b be 0/(8/(-6)*k + -1). Factor -5/3*v**3 - 2/3*v**2 + b*v - 1/3*v**5 - 4/3*v**4 + 0.
-v**2*(v + 1)**2*(v + 2)/3
Let d be (-5 + 10 - -3) + -6 + 0. Determine f so that 0 - 2/3*f + 5/9*f**d - 1/9*f**3 = 0.
0, 2, 3
Let f(w) = w**2 + w - 1. Let n be f(1). Let h be 1/10*22 - n/5. Solve -4/13 - 10/13*r + 6/13*r**h = 0 for r.
-1/3, 2
Let r(m) = -17*m**3 + 76*m**2 + 261*m + 6. Let n(x) = -155*x**3 + 685*x**2 + 2350*x + 55. Let k(p) = 6*n(p) - 55*r(p). Factor k(c).
5*c*(c - 17)*(c + 3)
Let h be -3 - (-3 - -4) - ((-2160)/85)/6. Factor h*w + 0 + 2/17*w**3 - 6/17*w**2.
2*w*(w - 2)*(w - 1)/17
Let s(b) be the third derivative of 7/12*b**4 - 2*b**3 + 0 + 21*b**2 + 0*b - 1/30*b**5. Factor s(g).
-2*(g - 6)*(g - 1)
Let n(t) be the third derivative of t**5/60 - 17*t**4/4 + 867*t**3/2 + 93*t**2. Solve n(s) = 0 for s.
51
Let t(i) be the second derivative of 1/5*i**3 + 0 - 5*i + 1/30*i**4 + 2/5*i**2. Solve t(h) = 0 for h.
-2, -1
Let w(z) be the first derivative of -z**6/35 - 6*z**5/35 + 29*z - 11. Let v(l) be the first derivative of w(l). Factor v(y).
-6*y**3*(y + 4)/7
Suppose 9*a = 20 + 7. Suppose 0*s = a*s - 6. Let 0*x + 0*x**3 - 3/5*x**5 + 0 + 0*x**4 + 0*x**s = 0. Calculate x.
0
Let q = -39 - -42. Let y(o) be the second derivative of o**3 - q*o + 0 - 2*o**2 - 1/6*o**4. Determine x, given that y(x) = 0.
1, 2
Suppose -6 = z, -3*c - 42*z - 12 = -39*z. Factor -1/7*f**c + 8/7 + 2/7*f.
-(f - 4)*(f + 2)/7
Let u(y) be the second derivative of 0*y**2 - 1/5*y**6 + 44*y + 0 + 4/5*y**5 + 2/3*y**3 - 7/6*y**4. Suppose u(c) = 0. What is c?
0, 2/3, 1
Let r = 9539/14 + -681. Let m = 137/70 - r. Factor -m*k**4 + 8/5*k**5 + 0 + 18/5*k - 22/5*k**3 + 12/5*k**2.
2*k*(k + 1)**2*(2*k - 3)**2/5
Suppose 0 = -2*w - 2*w + 24. Suppose 14*y**4 + w*y**3 - 9*y + 4*y**5 - y**5 + 6*y**2 - 15*y**4 + 3 - 8*y**4 = 0. What is y?
-1, 1
Let a(d) = -d**2 + 7*d - 8. Let c be a(4). Determine w so that 15*w**2 + 28*w**3 - 11 - 7*w**3 - 21*w - 10 + 3 + 3*w**c = 0.
-6, -1, 1
Determine u, given that 3*u**5 - 7*u**5 + 14*u**5 - 16 - 38*u**2 + 54*u**4 + 59*u**3 - 9*u**3 - 60*u = 0.
-4, -1, -2/5, 1
Suppose -12*s + 12 = -6*s. Factor 4 - 3*b + s*b**2 - 6*b + 3*b.
2*(b - 2)*(b - 1)
Let a(f) be the first derivative of 3/2*f**2 + 0*f**3 + 4 + 1/108*f**4 - 1/540*f**6 + 0*f**5 + 0*f. Let h(b) be the second derivative of a(b). Factor h(z).
-2*z*(z - 1)*(z + 1)/9
Let n(k) be the second derivative of -k**6/15 - k**5/10 + 3*k**4/2 - 11*k**3/3 + 4*k**2 + 7*k. Factor n(y).
-2*(y - 1)**3*(y + 4)
Let c(d) be the second derivative of 5*d**7/42 - 2*d**6/3 + d**5/2 + 5*d**4/3 - 5*d**3/2 + 34*d. Let c(y) = 0. What is y?
-1, 0, 1, 3
Let m = 15526 - 139730/9. Suppose 4/9 + 2/9*q**3 - 2/9*q - m*q**2 = 0. What is q?
-1, 1, 2
Let s(n) be the second derivative of 9*n + 5/66*n**4 - 8/33*n**3 - 1/110*n**5 + 0 + 4/11*n**2. Factor s(x).
-2*(x - 2)**2*(x - 1)/11
Let n(m) be the first derivative of -2/3*m**6 - 39 + 0*m + 2*m**4 + 0*m**5 - 2*m**2 + 0*m**3. Find w such that n(w) = 0.
-1, 0, 1
Let -16*x**2 - 1847*x**3 - 20*x + 1851*x**3 + 0*x**2 = 0. Calculate x.
-1, 0, 5
Let n be 39/9 + -3 - (-2)/3. Determine b, given that -5*b**3 + 4*b**n + 734 + b**4 - 734 = 0.
0, 1, 4
Let c(i) be the third derivative of -i**5/60 + i**4/24 + i**3/6 + 4*i**2. Let y(p) = -2*p**2 + 5*p + 6. Let j(q) = -4*c(q) + 4*y(q). Factor j(s).
-4*(s - 5)*(s + 1)
Suppose 15*d + 4 = 19*d. Let k be (2 - 1 - d)/(-4 - -2). Factor 0*q**2 - 2/5*q**3 + 0*q**4 + k + 1/5*q + 1/5*q**5.
q*(q - 1)**2*(q + 1)**2/5
Let z(w) = -4*w**2 - 7*w. Let y(t) = -2*t**2 - 4*t. Let u(q) = q**2 + 8*q + 6. Let v be u(-6). Let i(n) = v*z(n) + 11*y(n). Solve i(x) = 0.
0, 1
Suppose 50 = 12*k - 22. Let o(x) be the third derivative of 0 + 0*x - 1/56*x**4 - 1/280*x**k + 0*x**3 - 3*x**2 + 1/70*x**5. Factor o(n).
-3*n*(n - 1)**2/7
Let d(g) be the second derivative of -g**6/50 + 57*g**5/100 - 27*g**4/4 + 85*g**3/2 - 150*g**2 - 35*g. Factor d(w).
-3*(w - 5)**3*(w - 4)/5
Let q(d) be the third derivative of -d**5/240 + 7*d**4/48 - 2*d**2 - 1. Factor q(u).
-u*(u - 14)/4
Suppose 289/2 - 35/4*n**3 - 1/4*n**4 - 321/4*n**2 - 221/4*n = 0. What is n?
-17, -2, 1
Let h be 6*((-80)/(-128) - 1)/((-6)/8). Determine q so that 2*q**5 + 11*q**2 + 14*q**h + 1/2 + 4*q + 17/2*q**4 = 0.
-1, -1/4
Find v, given that -23/3*v**3 + 8/3 + 28/3*v - 7/3*v**4 - 2*v**2 = 0.
-2, -2/7, 1
Let k(m) = 5*m**4 + 13*m**3 - 5*m**2 - 10*m - 3. Let f(i) = 4*i**4 + 12*i**3 - 4*i**2 - 10*i - 2. Let o(j) = -3*f(j) + 2*k(j). Factor o(p).
-2*p*(p - 1)*(p + 1)*(p + 5)
Let m(q) be the third derivative of -9*q**2 + 1/40*q**5 + 0 + 0*q**3 + 1/8*q**4 + 0*q. Suppose m(v) = 0. What is v?
-2, 0
Let a(d) be the third derivative of -d**6/600 + d**5/12 - 7*d**4/5 + 24*d**3/5 + 2*d**2 + 32. Factor a(x).
-(x - 12)**2*(x - 1)/5
Let d(j) = 10*j**2 - 9*j**2 - 4 + 5. Let h(k) = -k**3 - 2*k**2 + 1. Let g(a) = d(a) - h(a). Factor g(s).
s**2*(s + 3)
Let f = 23521/240 + -98. Let v(l) be the third derivative of 0 + 0*l + f*l**6 + 7/48*l**4 - 10*l**2 - 1/24*l**5 - 1/4*l**3. Suppose v(p) = 0. Calculate p.
1, 3
Let o(i) be the third derivative of i**8/168 - i**7/21 + i**6/12 + i**5/6 - i**4/2 + 31*i**2 - 1. Let o(d) = 0. What is d?
-1, 0, 1, 2, 3
Let d(j) = j**3 - 18*j**2 + 66*j + 137. Let i be d(9). Determine q, given that 1/3 + 1/3*q**3 - 1/3*q - 1/3*q**i = 0.
-1, 1
Let t(j) = 9*j**4 - 212*j**3 + 2419*j**2 + 216*j - 2420. Let g(x) = x**4 + 2*x**3 + x**2 - x. Let f(h) = 4*g(h) - t(h). Factor f(w).
-5*(w - 22)**2*(w - 1)*(w + 1)
Suppose 2*x = -a - 3*x + 25, -4*a - 2*x + 46 = 0. Let 5*z**5 - z**3 + 5*z**2 + 6*z**3 - a*z**3 - 5*z**4 = 0. What is z?
-1, 0, 1
Let z(p) be the first derivative of 0*p + 0*p**2 - 9/40*p**5 - 3/8*p**4 + 0*p**3 + 1/16*p**6 - 20. Determine a, given that z(a) = 0.
-1, 0, 4
Suppose 829 - 847 = -3*t. Let w(o) be the third derivative of 0*o - 2/5*o**5 + 2*o**4 + 0 - t*o**2 + 1/30*o**6 - 16/3*o**3. Determine a so that w(a) = 0.
2
Factor 60*h - 35*h**3 - 20*h**2 - 5*h**4 + 26420 - 26420.
-5*h*(h - 1)*(h + 2)*(h + 6)
Factor 299 - 9*l - 43*l + 2*l**2 + 347 - 24*l + 76.
2*(l - 19)**2
Let r(w) be the third derivative of 