2679 - -29477/11. Determine o so that -24/11*o + 14/11*o**2 - r = 0.
-2/7, 2
Let g(f) be the second derivative of 3*f**5/50 + 161*f**4/20 + 328*f**3 + 480*f**2 - 727*f. Find l such that g(l) = 0.
-40, -1/2
Let s(i) be the second derivative of -i**6/15 - i**5/5 + i**4/2 + 8*i**3/3 + 4*i**2 + 196*i. Let s(x) = 0. What is x?
-2, -1, 2
Let b(a) = 7*a - 9*a**2 - 22*a + 3*a - 13. Let w(p) = -28*p**2 - 36*p - 40. Let i(k) = 16*b(k) - 5*w(k). Find f, given that i(f) = 0.
-2, -1
Let m(h) = 3*h + 1. Let x be m(1). Let r be 588/(-35) - -9 - -9. Suppose r*t**3 + 9/5*t**x - 9/5*t + 3/5*t**5 - 3/5 - 6/5*t**2 = 0. What is t?
-1, 1
Factor w**4 - 225*w**2 + 216*w**2 + 22 - 22.
w**2*(w - 3)*(w + 3)
Let n be -30*2/((-10)/3). Let i be 3 + (-15)/n + 2/4. Solve -46/3*p**2 - i + 12*p**3 - 16*p = 0.
-1/2, -2/9, 2
Let o(u) = 2*u**3 - 15*u**2 + 16*u - 12. Let v be o(9). Suppose 390 = 3*d + v. Factor 1/2*x**d + 0*x + 3/2*x**4 + 1/2*x**2 + 3/2*x**3 + 0.
x**2*(x + 1)**3/2
Let m(p) be the second derivative of 0*p**2 + 0 + 1/90*p**5 + 5*p + 4/27*p**3 + 2/27*p**4. Factor m(c).
2*c*(c + 2)**2/9
Let c(l) be the first derivative of -l**6/51 - 2*l**5/17 - 9*l**4/34 - 14*l**3/51 - 2*l**2/17 - 64. Factor c(y).
-2*y*(y + 1)**3*(y + 2)/17
Factor 0*m + 2/9*m**3 + 0 + 4/9*m**2.
2*m**2*(m + 2)/9
Factor 80/3 + 7*n + 1/3*n**2.
(n + 5)*(n + 16)/3
Let l(f) = -8*f + 4. Let t(a) = a**2 + 2*a + 1. Let y(n) = l(n) - 4*t(n). Solve y(k) = 0.
-4, 0
Let i be -1 + -2 + (-2 - 636/(-76)). Let x = i + -92/95. Solve -12/5 + 39/5*u**2 + 3*u**3 + x*u = 0 for u.
-2, -1, 2/5
Solve 4*n + 1/3*n**2 + 35/3 = 0 for n.
-7, -5
Let g = -33 + 27. Let o be g/14 + 66/56. Factor -o*w - 1/4*w**2 + 0.
-w*(w + 3)/4
Let w be -1 + (-273)/534 + 3. Let p = 1/89 + w. Find s, given that 0 - 1/2*s**2 - s + p*s**3 = 0.
-2/3, 0, 1
Suppose 28*b - 299 = -215. Determine d, given that -150/13*d + 30/13*d**2 - 2/13*d**b + 250/13 = 0.
5
Let s(k) = -14*k**3 + 62*k**2 + 58*k + 27. Let f(r) = -6*r**3 + 30*r**2 + 30*r + 14. Let l(o) = 9*f(o) - 4*s(o). What is z in l(z) = 0?
-9, -1
Let m(u) be the third derivative of -1/60*u**4 + 0 + 1/300*u**6 + 1/15*u**3 + 0*u + 7*u**2 - 1/150*u**5. Let m(t) = 0. Calculate t.
-1, 1
Let d be -2*2*(-2)/4. Suppose 4*q**3 + 0*q**d + q**4 + 2*q + 0*q**4 + 5*q**2 = 0. What is q?
-2, -1, 0
Let j(c) be the third derivative of -c**6/200 + 9*c**5/100 - c**4/2 + 5*c**2 - 42*c. Factor j(g).
-3*g*(g - 5)*(g - 4)/5
Let v = -167 - -152. Let j(w) = w + 17. Let c be j(v). Factor 0 - 3/2*x**3 + 3/2*x + 0*x**c.
-3*x*(x - 1)*(x + 1)/2
Let z(b) be the first derivative of -b**5/80 - b**4/12 - 19*b + 9. Let m(j) be the first derivative of z(j). What is s in m(s) = 0?
-4, 0
Let x(u) be the first derivative of 1/3*u**3 - 1/6*u**4 - 1/15*u**5 - 15 + 2/3*u**2 - 4/3*u. Determine w so that x(w) = 0.
-2, 1
Let s(g) be the second derivative of g**6/360 - g**5/24 + 4*g**3 + 20*g. Let u(c) be the second derivative of s(c). Factor u(f).
f*(f - 5)
Let x(p) = 185*p**2 - 2870*p. Let n(o) = 13*o**2 - 205*o. Let h(r) = -85*n(r) + 6*x(r). Factor h(j).
5*j*(j + 41)
Find c, given that 6*c**2 - 8*c + 5 + 5*c + 8*c + 6*c = 0.
-1, -5/6
Solve -42 + 0*q**2 - 5*q**2 + q**2 - 34*q + 28 - 38 = 0.
-13/2, -2
Let j(n) be the third derivative of 1/24*n**4 - 1/360*n**5 + 0 + 0*n - 5/36*n**3 + 30*n**2. What is v in j(v) = 0?
1, 5
Let i(s) = -7*s**2 + 251*s - 3125. Let a(j) = 2*j**2 - j. Let m(q) = -a(q) - i(q). Factor m(k).
5*(k - 25)**2
Let c = -9 + 15. Suppose 7*v - 6*v = -c*v. Suppose v - 3/4*k + 3/4*k**2 = 0. What is k?
0, 1
Let o(i) be the second derivative of -i**6/20 + 7*i**5/40 - 5*i**4/24 + i**3/12 - 3*i + 9. Determine n, given that o(n) = 0.
0, 1/3, 1
Solve 0*i - 23/12*i**4 + 0 + 5/3*i**3 - 1/3*i**2 + 7/12*i**5 = 0 for i.
0, 2/7, 1, 2
Let l(x) be the third derivative of -2/15*x**5 + 1/84*x**8 + 0 - 1/2*x**4 - 2/3*x**3 + 2/35*x**7 + 0*x + 1/15*x**6 - 27*x**2. What is n in l(n) = 0?
-1, 1
Let t(m) = 10*m**2 + 25*m + 20. Let k = 5 - 2. Let g(l) = 5*l**2 + 12*l + 10. Let i(x) = k*t(x) - 5*g(x). Factor i(n).
5*(n + 1)*(n + 2)
Find y such that 35*y**3 - 3*y**4 - 5*y**5 - 1356*y + 13*y**4 + 1416*y - 100*y**2 = 0.
-3, 0, 1, 2
Suppose 35*p**3 - 78*p**3 - 256*p - 603*p**2 - 16*p**3 - 22*p**3 - 28 = 0. What is p?
-7, -2/9
Let v(p) be the second derivative of p**6/360 - p**4/24 + 5*p**3/3 + 9*p. Let n(k) be the second derivative of v(k). Solve n(o) = 0.
-1, 1
Let l(q) be the third derivative of -q**7/105 - 3*q**6/20 - 7*q**5/15 + 3*q**4 + 24*q**3 - 416*q**2. Let l(y) = 0. What is y?
-6, -3, -2, 2
Let d be -38*(3 + -2)*3/(-6). Factor 50*l - d*l**2 - 49*l + 18*l**2.
-l*(l - 1)
Let h(n) be the first derivative of -n**8/3192 + 2*n**7/1995 - n**6/1140 + n**2 + 12. Let q(s) be the second derivative of h(s). Let q(d) = 0. What is d?
0, 1
Suppose -2*p + 4*p - 10 = 0. Suppose -1 = s - p. Factor 4*b**2 + 0*b + 2*b**2 - s*b.
2*b*(3*b - 2)
Factor -2*w**2 - 42*w + 9 + 5*w**2 + 3*w**3 - 57*w + 180.
3*(w - 3)**2*(w + 7)
Let a be ((-24)/9)/8*0. Let x(i) be the third derivative of -1/16*i**4 + a*i + 0 - 4*i**2 + 1/80*i**5 - 1/8*i**3 + 1/80*i**6. Factor x(s).
3*(s - 1)*(s + 1)*(2*s + 1)/4
Determine n, given that -4*n**2 + 0 - 2*n**5 + 6*n**5 + 12*n**3 - 12*n**4 + 0 = 0.
0, 1
Let g(i) be the second derivative of i**9/3024 - i**8/1344 - i**7/252 - 11*i**4/6 + i. Let b(z) be the third derivative of g(z). Let b(v) = 0. What is v?
-1, 0, 2
Let j(v) be the first derivative of -12*v**3 - 54*v + 36*v**2 + 2*v**4 - 2/15*v**5 + 13. Suppose j(n) = 0. What is n?
3
Let l(q) be the third derivative of -q**8/16128 - q**7/2016 - q**5/60 - 5*q**2. Let w(t) be the third derivative of l(t). Factor w(z).
-5*z*(z + 2)/4
Let b be (-1 - 1)*(-13 - -11). Factor -3*s + s**2 + 5*s - s**5 + 3*s**4 - b*s**2 - 1027*s**3 + 1026*s**3.
-s*(s - 2)*(s - 1)**2*(s + 1)
Let k(r) be the third derivative of 0*r**4 + 0*r**5 - 1/735*r**7 + 0*r**3 + 1/420*r**6 + 0 + 0*r - 6*r**2. Let k(c) = 0. Calculate c.
0, 1
Suppose -5*d + 4*v + 7 = 0, 0*v - 5*v - 12 = -3*d. Let n = 5 + d. Suppose 8*f**4 - f**2 + 2*f**n + 5*f**3 - 5*f - 7*f**4 - 2 = 0. What is f?
-1, -2/3, 1
Let g = 8 + -5. Suppose 0*t = t - g. Solve -t*u**2 - 2*u**4 + u**2 - 2*u**4 + 4*u**3 + 2*u**4 = 0.
0, 1
Let y(v) be the second derivative of -13*v - v**3 - 2*v**7 + 2 + 0*v**2 + 11/4*v**4 - 41/10*v**6 + 0*v**5. Determine m so that y(m) = 0.
-1, 0, 1/4, 2/7
Let b(y) be the third derivative of y**10/302400 - y**9/120960 - 17*y**5/60 + 6*y**2. Let j(s) be the third derivative of b(s). Factor j(z).
z**3*(z - 1)/2
Let d = -9 + -17. Let s = -23 - d. Suppose 0 + 1/2*a**s + 0*a**2 + 0*a = 0. Calculate a.
0
Let f(b) = -b**3 + 8*b**2 - 6*b - 3. Let n be f(7). Find o such that 4*o - 4 - 5*o + 4*o**4 + 5*o - 8*o**3 + n*o = 0.
-1, 1
Let n = -127 - -135. Let w(t) be the first derivative of 8/3*t**5 + 145/18*t**4 + 100/9*t**3 + 1/3*t**6 + 16/9*t - n + 20/3*t**2. Factor w(j).
2*(j + 2)**3*(3*j + 1)**2/9
Let a be (2/4)/((-6)/36). Let d be (a - -3)/(-1)*1. Factor 14/9*p**3 + 0*p + 4/9*p**2 + d.
2*p**2*(7*p + 2)/9
Suppose 2*r = 8 + 4. Factor r*i**2 + 11*i - 3*i - 2*i**2.
4*i*(i + 2)
Let b(v) = 20*v**3 - 85 + 5*v**2 + 16*v**4 + 8*v**3 + 72. Let p(a) = 4*a**4 + 7*a**3 + a**2 - 3. Let y(g) = -6*b(g) + 26*p(g). Find o, given that y(o) = 0.
-2, 0, 1/4
Let b = 880 + -878. Let i(n) be the first derivative of 7/15*n**3 - 2/5*n - 5 - 1/2*n**b. Let i(f) = 0. Calculate f.
-2/7, 1
Let f(b) be the third derivative of b**8/50400 - b**7/900 + 49*b**6/1800 - b**5/4 - 18*b**2. Let u(l) be the third derivative of f(l). Factor u(p).
2*(p - 7)**2/5
Let v(g) be the first derivative of -3*g**5/40 - 3*g**4/4 - 28*g - 7. Let u(q) be the first derivative of v(q). Find y such that u(y) = 0.
-6, 0
Let o(v) be the first derivative of 40*v**6/7 + 312*v**5/35 + 9*v**4/4 - 4*v**3/7 - 3*v**2/14 - 103. Let o(x) = 0. Calculate x.
-1, -1/4, 0, 1/5
Factor 0 + 0*t + 2/3*t**3 + 0*t**2 + 1/3*t**5 - t**4.
t**3*(t - 2)*(t - 1)/3
Let x(b) be the first derivative of b**7/42 - b**6/24 - b**5/6 - b**2 - 6. Let p(a) be the second derivative of x(a). Solve p(o) = 0 for o.
-1, 0, 2
Let t(c) be the second derivative of c**4/36 - 2*c**3 + 54*c**2 - 7*c + 2. Determine s, given that t(s) = 0.
18
Let k(c) be the third derivative of -c**7/1050 + 3*c**5/100 + 11*c**2 - 30. Solve k(v) = 0.
-3, 0, 3
Suppose -14*s - 462 + 504 = 0. Let 