= -72*n**2 - 616*n - 572. Let r(h) = -13*h**2 - 112*h - 104. Let y(j) = 5*f(j) - 28*r(j). Let y(z) = 0. Calculate z.
-13, -1
Let p(r) = -2*r - 32. Suppose 2*q = 8, -2*t - 3*q + q = 28. Let u be p(t). What is k in 1/4*k**u + k + 1/4 + k**3 + 3/2*k**2 = 0?
-1
Let r(q) be the second derivative of q**4/4 + 26*q**3 + 1014*q**2 + 20*q - 3. Factor r(h).
3*(h + 26)**2
Let z(c) be the second derivative of 33*c - 1/11*c**3 + 0 + 1/33*c**4 + 1/11*c**2. Determine w, given that z(w) = 0.
1/2, 1
Factor -1098 + 699 - 2*f**2 - 1953 - f**2 + 168*f.
-3*(f - 28)**2
Let k(j) be the first derivative of j**4/16 - j**3/4 + 3*j**2/8 - j/4 + 86. Solve k(m) = 0 for m.
1
Let b(o) be the third derivative of o**9/75600 - o**7/4200 - o**6/1800 - o**4/8 + 3*o**2. Let i(h) be the second derivative of b(h). Solve i(j) = 0 for j.
-1, 0, 2
Let x(r) = r**2 - 10*r + 10. Let y be x(8). Let l = 8 + y. Factor -2*i**l - 4*i + 18*i**2 - 12*i**2 - i**3.
-i*(i - 2)**2
Let i = -69 - -101. Let v = i + -32. Factor -3/2*p**2 + 0*p**4 + v*p - 3/4*p**5 + 9/4*p**3 + 0.
-3*p**2*(p - 1)**2*(p + 2)/4
Let p(b) be the third derivative of b**6/24 - b**5/12 - 10*b**4/3 - 50*b**3/3 + 2*b**2 + 33. Factor p(w).
5*(w - 5)*(w + 2)**2
Factor 1 - 1 + 191*x**3 - 379*x**3 + 190*x**3 - 2*x**4.
-2*x**3*(x - 1)
Factor 0*i + 1/6*i**3 + 0 + 1/3*i**2.
i**2*(i + 2)/6
Factor -2/3*m**3 - 640/3*m + 1024/3 + 68/3*m**2.
-2*(m - 16)**2*(m - 2)/3
Let x(m) = -m**2 + 5*m - 2. Let c be x(4). Factor -9*b**4 - 3*b**c - 2*b**4 + 7*b**4 - 5*b**2 + 12*b**3.
-4*b**2*(b - 2)*(b - 1)
Let i(u) = 4*u**4 + 3*u**3 - 7*u**2 + 13*u + 13. Let a(h) = -2*h**4 - 2*h**3 + 4*h**2 - 6*h - 6. Let d(t) = -13*a(t) - 6*i(t). Factor d(z).
2*z**2*(z - 1)*(z + 5)
Let n(t) be the first derivative of t**5/10 + 5*t**4/6 + 19*t**3/9 + t**2 - 3*t/2 - 233. Factor n(g).
(g + 1)*(g + 3)**2*(3*g - 1)/6
Let y(w) = -w. Let z = 80 + -81. Let f(j) = -2*j**2 + 16*j - 4. Let o(t) = z*f(t) - 10*y(t). Suppose o(q) = 0. Calculate q.
1, 2
Let y**2 - 9/4 - 35/4*y = 0. What is y?
-1/4, 9
Let n = 81 - 77. Find q such that 0*q**2 + 50*q**2 + 5*q**n - 48*q + 8 + 12*q - 27*q**3 = 0.
2/5, 1, 2
Let b be ((-3)/12*2)/((-1)/294). Suppose -b + 4*c**2 + 0*c**2 + 8*c + 151 = 0. Calculate c.
-1
Factor 0 + 2/3*w**3 + 2/9*w**4 - 20/9*w**2 + 0*w.
2*w**2*(w - 2)*(w + 5)/9
Let t(g) be the second derivative of g**4/28 + 9*g**3/14 + 27*g**2/7 - 17*g - 1. Factor t(n).
3*(n + 3)*(n + 6)/7
Factor 0*s + 1/3*s**3 + 0 + 32*s**2.
s**2*(s + 96)/3
Let r be 1/(-4) + (-49)/28. Let j be 0/(-1 + (-3 - r)). Solve j - 1/6*z**4 + 0*z + 1/3*z**3 - 1/6*z**2 = 0 for z.
0, 1
Let s be ((-160)/(-32))/(5/2). Suppose 96 = -2*j + 5*j. Factor 60 - j - 12*f**s + 20*f + 4*f**4 - 4*f**3 - 36.
4*(f - 1)**3*(f + 2)
Let j(r) be the second derivative of r**5/4 - 25*r**4/6 + 10*r**3 + 180*r**2 - 167*r. Factor j(o).
5*(o - 6)**2*(o + 2)
Determine o, given that 16/13*o**2 - 18/13 + 42/13*o = 0.
-3, 3/8
Let j(o) = -o**3 + 8*o**2 - 5*o - 4. Suppose 2*x - 13 = 1. Let q be j(x). Factor -q*m**4 + 6*m**2 - 6*m**4 + 0*m**2 + 3*m**3 + 7*m**4.
-3*m**2*(m - 1)*(3*m + 2)
Let i(k) = -10*k**4 + 42*k**3 + 11*k**2 - 20*k - 1. Let m(d) = -2*d**4 + 8*d**3 + 2*d**2 - 4*d. Let z(l) = 2*i(l) - 11*m(l). Factor z(w).
2*(w - 1)**3*(w + 1)
Solve -15/4*k**2 - 27/2 - 69/4*k**3 - 15/4*k**4 + 153/4*k = 0.
-3, 2/5, 1
Let j(r) = r**3 - r**2 - 5*r - 7. Let b be j(5). Let i = -66 + b. Factor 0 - 1/4*s**i - 1/4*s.
-s*(s + 1)/4
Let a(r) = -r**2 + 5*r - 3. Let h be a(3). Factor v**5 + 13*v**3 - 12*v**h - v**4 - v**4.
v**3*(v - 1)**2
Let a(b) = 5*b**4 + 23*b**3 + 37*b**2 - 19*b - 34. Let o(f) = -6*f**4 - 23*f**3 - 36*f**2 + 18*f + 32. Let t(k) = -5*a(k) - 4*o(k). What is r in t(r) = 0?
-21, -2, -1, 1
Suppose 3*p - p - 3*w = 4, 5*p + 5*w - 35 = 0. Suppose 2*v - p = 5. Factor 5*g**4 + 16*g**2 + 2*g**3 - 12*g**3 - v*g - g**5 + 1 - 6*g**2.
-(g - 1)**5
Suppose 65 = 74*g - 83. Solve 0 - 4/9*o**g - 4/9*o + 4/9*o**3 + 4/9*o**4 = 0.
-1, 0, 1
Let a(d) be the third derivative of -d**8/448 - d**7/40 - 17*d**6/160 - 17*d**5/80 - 3*d**4/16 - 376*d**2. Solve a(j) = 0.
-3, -2, -1, 0
Let c(z) be the second derivative of -1/360*z**6 + 0*z**2 + 7*z + 5/6*z**3 + 0*z**4 + 0 - 1/120*z**5. Let k(o) be the second derivative of c(o). Factor k(u).
-u*(u + 1)
Suppose -3*a - 5*k + 19 = -0*k, -5*a = -3*k - 9. Suppose -a*g = -2*g. Determine u so that g*u + 6*u + 12*u**3 - 15*u**2 - 17 - 3*u**4 + 17 = 0.
0, 1, 2
Let p = -9/7 + 115/84. Let g(x) be the second derivative of 1/2*x**2 + 2*x + 1/3*x**3 + 0 + p*x**4. Factor g(o).
(o + 1)**2
Let g(c) be the second derivative of c**5/12 - 5*c**4/12 + 5*c**3/6 - c**2/2 + 3*c. Let z(d) be the first derivative of g(d). Solve z(w) = 0.
1
Let i be (-69)/46*(-28)/(-6). Let v be 1 + (-3)/6 + (-7)/i. Solve 0 + v*l**4 + 0*l**3 - 3/2*l**2 + 0*l = 0 for l.
-1, 0, 1
Let y(k) = k**2 + 30*k + 86. Let d be y(-27). Let t(x) be the third derivative of 3/20*x**d + 0 + 3*x**2 + 0*x**3 - 1/8*x**4 + 0*x. Factor t(p).
3*p*(3*p - 1)
Let f(k) be the first derivative of k**6/540 + 2*k**5/135 - k**4/36 - 2*k**3/3 - 15*k**2 + 11. Let n(l) be the second derivative of f(l). Factor n(s).
2*(s - 2)*(s + 3)**2/9
Let c(a) = a**5 - 3*a**4 - 3*a**3 - a**2 - 2*a. Let z(y) = 4*y**2 + 10*y**4 + 8*y**3 + 2*y**3 + 7*y + 2*y**5 - 5*y**5. Let v(r) = 7*c(r) + 2*z(r). Factor v(u).
u**2*(u - 1)**2*(u + 1)
Let b(u) = -u**2 + 6*u - 7. Let g be b(5). Let i be (-2)/g - (-95)/30*10. Factor 8/3 + i*r**2 - 56/3*r.
2*(7*r - 2)**2/3
Let k(h) = -9*h**3 + 7*h**2 - 3*h + 13. Let o(f) = f**3 - f - 1. Let j(y) = -5*k(y) - 40*o(y). Determine c, given that j(c) = 0.
1, 5
Factor 374 - 702 + 330*a + 61*a**2 - 63*a**2.
-2*(a - 164)*(a - 1)
Let m(k) be the third derivative of -k**8/2184 - k**7/1365 + k**6/156 - k**5/130 + 339*k**2 - 2. Suppose m(y) = 0. What is y?
-3, 0, 1
Let y(t) be the first derivative of -t**5 + 235*t**4/4 - 2875*t**3/3 + 2645*t**2/2 + 290. Factor y(u).
-5*u*(u - 23)**2*(u - 1)
Let j(p) be the first derivative of -p**5/45 - p**4/3 + 14*p**3/9 - 12*p**2 + 8. Let r(n) be the second derivative of j(n). Determine t so that r(t) = 0.
-7, 1
Let w(g) = g**3 - 4*g - 3. Let k(m) = 4*m**4 - 22*m**3 + 80*m + 54. Let v(z) = -k(z) + 2*w(z). Factor v(c).
-4*(c - 5)*(c - 3)*(c + 1)**2
Let i(s) be the first derivative of 1/35*s**5 + 1/7*s - 9 - 2/21*s**3 + 1/14*s**4 - 1/42*s**6 - 1/14*s**2. Find x such that i(x) = 0.
-1, 1
Let l(d) = -8*d**2 + 10*d + 13. Let s(f) = -4*f**2 + 4*f + 6. Let p(i) = -2*l(i) + 5*s(i). Factor p(o).
-4*(o - 1)*(o + 1)
Let m(h) be the first derivative of -h**8/1680 + h**6/360 + 22*h**3/3 - 7. Let o(r) be the third derivative of m(r). Factor o(l).
-l**2*(l - 1)*(l + 1)
Solve -46/13*s**2 + 46/13*s**4 - 24/13*s + 28/13*s**3 - 4/13*s**5 + 0 = 0 for s.
-1, -1/2, 0, 1, 12
Let h(f) be the third derivative of -1/105*f**7 + 0*f**4 - 12*f**2 + 0 + 0*f**3 + 0*f + 1/840*f**8 - 2/75*f**5 + 2/75*f**6. Solve h(m) = 0.
0, 1, 2
Let n(l) be the third derivative of -3*l**5/10 - 7*l**4/12 + 2*l**3/3 - 32*l**2. Factor n(m).
-2*(m + 1)*(9*m - 2)
Let q(m) be the second derivative of -m**8/336 + m**6/9 - 10*m**4/3 + m**3/6 + 19*m. Let k(c) be the second derivative of q(c). Factor k(r).
-5*(r - 2)**2*(r + 2)**2
Let t(u) be the second derivative of -u**6/72 - u**5/24 + 22*u**3/3 - 7*u. Let q(p) be the second derivative of t(p). Suppose q(j) = 0. What is j?
-1, 0
Let a(y) = -y**2 + y. Let m(f) = f**3 + 4*f**2 - 5*f. Let v = -2 - -2. Suppose 1 = -g - v. Let j(r) = g*m(r) - 4*a(r). Solve j(z) = 0.
-1, 0, 1
Let w = 4 - 2. Suppose 0 = i - w*c + 3*c, -20 = i + 5*c. Suppose 81*g**3 + 99*g**3 - 16*g**2 + i*g + 76*g**2 = 0. Calculate g.
-1/6, 0
Let h be (9 - (-28)/(-7)) + -2 + 0. Let y(n) be the first derivative of 1/8*n**4 + 3/4*n**2 - 1/2*n**h - 1/2*n + 9. Determine v, given that y(v) = 0.
1
Let f(p) be the second derivative of -14*p + 0 + 8/27*p**3 + 2/9*p**2 + 1/9*p**4. What is y in f(y) = 0?
-1, -1/3
Let h(l) be the second derivative of 3*l**4/4 - l**3/2 - 3*l**2 + l. Let f(i) = -17*i**2 + 5*i + 11. Let j(d) = -6*f(d) - 11*h(d). Find s, given that j(s) = 0.
-1, 0
Let k(j) be the second derivative of -j**7/21 - 8*j**6/5 - 44*j**5/5 + 112*j**4 - 784*j**3/3 + 47*j - 1. Factor k(a).
-2*a*(a - 2)**2*(a + 14)**2
Let w(x) be the third derivative of -5*x**8/84 + 62*x**7/105 - 11*x**6/5 + 52*x**5/15 - 4*x**4/3 + 27*x**2.