 - 17. Let w be (22/k - -5)*-1. Factor 0 - 1/2*a**3 - a**2 - w*a.
-a*(a + 1)**2/2
Let x(k) be the first derivative of -k**4/2 + 16*k**3/9 - 4*k**2/3 + 26. Factor x(i).
-2*i*(i - 2)*(3*i - 2)/3
What is a in -110/3*a + 14/15*a**4 - 50/3 - 28/15*a**3 + 2/15*a**5 - 68/3*a**2 = 0?
-5, -1, 5
Let b(a) be the second derivative of a**9/18144 + a**8/10080 - a**7/5040 - a**6/2160 - 7*a**3/6 - 4*a. Let o(t) be the second derivative of b(t). Factor o(i).
i**2*(i - 1)*(i + 1)**2/6
Let l(o) be the first derivative of -o**6/240 + o**5/10 - o**4 - 8*o**3/3 + 6. Let p(r) be the third derivative of l(r). Factor p(a).
-3*(a - 4)**2/2
Let f be 3*(-4)/(-6) + 9. Let m = f - 8. Suppose -2*p**2 + p + 2 + 0 + 7*p**3 - 5*p**3 - m*p**3 = 0. What is p?
-2, -1, 1
Let b be 8/32 - (-12)/8. Find g such that -b*g**4 + 1/4*g**5 + 9/2*g**3 + 0 + 2*g - 5*g**2 = 0.
0, 1, 2
Factor -13*j**4 - 53*j**4 + 0*j**4 + 972*j + 471*j**3 - 1298*j**2 + 3*j**5 + 110*j**2.
3*j*(j - 9)**2*(j - 2)**2
Determine n, given that 1/4*n**2 - 87/2*n + 7569/4 = 0.
87
Suppose -10*p = 2*w + 2*w - 8, -w = -5*p - 2. Let i(z) be the first derivative of 12 + p*z + 1/20*z**4 - 1/10*z**2 - 1/15*z**3 + 1/25*z**5. Factor i(u).
u*(u - 1)*(u + 1)**2/5
Suppose 8/5 + 8*t + 10*t**2 = 0. What is t?
-2/5
Let s(z) be the third derivative of -9*z**2 + 0*z**3 + 0 - 1/36*z**5 - 1/72*z**4 - 1/90*z**6 + 0*z. Solve s(f) = 0 for f.
-1, -1/4, 0
Let u be (6 + -5)*-1*(-10)/100*6. Find b such that -6/5*b**3 + 3/5*b**5 + 3/5*b + 3/5*b**4 - 6/5*b**2 + u = 0.
-1, 1
Let r(m) be the second derivative of 0 + 5/6*m**3 - 26*m + 0*m**2 - 5/12*m**4. Determine l so that r(l) = 0.
0, 1
Solve 8/3*i**2 - 41/6*i**3 + 3/2*i**4 + 8/3*i + 0 = 0 for i.
-4/9, 0, 1, 4
Suppose 3*y - 642 = -5*z + 812, -3*y + 9 = 0. Factor -z*x + 5 + 324*x**2 + 361*x - 1.
4*(9*x + 1)**2
Let p(n) be the first derivative of -n**4/6 + n**3 + 4*n**2 + 3*n + 15. Let c(x) be the first derivative of p(x). Factor c(b).
-2*(b - 4)*(b + 1)
Suppose -5*g = 2*k - 0*g - 29, -3*k + 4*g = 14. Factor -m**2 + 0*m**k + 4*m**2 - 3*m.
3*m*(m - 1)
Let d(l) be the second derivative of 1/66*l**4 + 0 - 4/33*l**3 - 4/11*l**2 + 47*l + 1/110*l**5. Factor d(g).
2*(g - 2)*(g + 1)*(g + 2)/11
Suppose 2 = 4*a - z, -3*z = -8*z + 30. Factor -4/11*k - 1/11 - 3/11*k**a.
-(k + 1)*(3*k + 1)/11
Let p(l) be the third derivative of 2/3*l**4 + 0*l**3 + 8/15*l**5 + 0 + 1/6*l**6 + 2/105*l**7 + 24*l**2 + 0*l. What is u in p(u) = 0?
-2, -1, 0
Let f(y) be the third derivative of y**8/798 - 11*y**7/1995 - 7*y**6/1140 + 11*y**5/570 + y**4/76 - 66*y**2 + 2. Find r, given that f(r) = 0.
-1, -1/4, 0, 1, 3
Let g(c) be the second derivative of c**4/12 + c**3/3 - c**2/2 - 4*c. Let h be g(-3). Let -f**h + 2 - 1 - 4*f - 5 = 0. What is f?
-2
Let o(c) be the second derivative of -c**8/60480 - c**7/4536 - c**6/1620 - 11*c**4/12 - 5*c. Let g(y) be the third derivative of o(y). Factor g(n).
-n*(n + 1)*(n + 4)/9
Let m be 1/(1/(2 + -3)). Let n be m/2 - 20/(-8). Suppose a**4 + 3*a - 4*a + a**3 + 0*a - a**n = 0. What is a?
-1, 0, 1
Let n be 0/((1/1)/1). Let a = 28/17 - 67/51. Suppose -a*v**3 + 0 + n*v + 0*v**2 = 0. Calculate v.
0
Let b(x) be the second derivative of -x**8/6720 + x**7/420 - x**6/80 - 11*x**4/6 - 26*x. Let h(k) be the third derivative of b(k). Factor h(z).
-z*(z - 3)**2
Let g = 46 - 41. Let -11*j + 8*j**4 - 4*j**3 + 11*j + 6*j**4 - 10*j**g = 0. Calculate j.
0, 2/5, 1
Let r(h) be the third derivative of h**6/200 - 3*h**5/100 - 3*h**4/20 + 4*h**3/5 - 12*h**2 - 4*h. Factor r(x).
3*(x - 4)*(x - 1)*(x + 2)/5
Let g(y) be the third derivative of -39*y**2 - 1/840*y**8 - 1/5*y**3 + 7/60*y**4 + 0*y - 1/75*y**5 - 1/50*y**6 + 0 + 1/105*y**7. Find a such that g(a) = 0.
-1, 1, 3
Let i be (2 - (-38)/(-18)) + 555/135. Let x(v) be the first derivative of 4/33*v**3 + 0*v + 5/22*v**i + 4 + 0*v**2. Suppose x(q) = 0. What is q?
-2/5, 0
Let u(s) = 68*s - 66. Let y be u(1). Factor 1/4*m**y + 1/2*m**3 - 1/4 - 1/2*m.
(m - 1)*(m + 1)*(2*m + 1)/4
Let j(p) be the first derivative of p**4/18 - 4*p**3/9 + 11*p**2/9 - 4*p/3 + 5. Factor j(t).
2*(t - 3)*(t - 2)*(t - 1)/9
Factor 171/4*z**3 - 3/4*z**4 + 0*z + 0 + 0*z**2.
-3*z**3*(z - 57)/4
Suppose o = 4*k - 16, 2*o + 4*k = -0*o + 28. Solve -10 + 10*v**2 - o*v**5 - v**5 - 15*v + 9*v**3 + 7*v**3 + 4*v**3 = 0 for v.
-1, 1, 2
Let r(j) = -2*j**2 + 29*j + 27. Let c(h) = h**2 - 15*h - 14. Let q(t) = -5*c(t) - 3*r(t). Let i be q(13). Solve -i*y**5 + 4*y**2 + 12 - 4*y**4 - 12 + 2*y = 0.
-1, 0, 1
Let m(j) be the first derivative of -j**3/15 + 34*j**2/5 - 1156*j/5 - 41. Factor m(i).
-(i - 34)**2/5
Let d(f) be the third derivative of -4*f**2 - 7/300*f**5 + 0*f**3 - 1/1680*f**8 - 1/210*f**7 + 0 + 0*f - 1/60*f**4 - 3/200*f**6. Factor d(g).
-g*(g + 1)**3*(g + 2)/5
Let f(u) be the second derivative of 2*u**7/21 - 4*u**6/15 + 2*u**4/3 - 2*u**3/3 + 4*u + 6. Let f(o) = 0. What is o?
-1, 0, 1
Let t = 63 + 42. Factor -5*g**2 + 5 + 5*g**3 + 100*g + 0 - t*g.
5*(g - 1)**2*(g + 1)
Let q = -1540 - -13876/9. Factor -q*c - 2/9*c**2 + 0.
-2*c*(c + 8)/9
Let q(x) = -332*x + 1331. Let l be q(4). Find v such that 0*v + 0 + 4/3*v**4 - 4/3*v**2 + 0*v**l = 0.
-1, 0, 1
Let q be (27/(-54))/((28/(-6) + 4)/4). Factor -2/3*g**4 - 2/3*g + 2/3*g**q + 2/3*g**2 + 0.
-2*g*(g - 1)**2*(g + 1)/3
Let b(r) be the second derivative of -3*r**5/70 - r**4/14 + 53*r. Factor b(m).
-6*m**2*(m + 1)/7
Let z(m) be the third derivative of m**7/210 + m**6/20 + m**5/5 + 5*m**4/12 + m**3/2 + 48*m**2. Solve z(v) = 0.
-3, -1
Let -3*d + 3*d**2 + 28 - 3*d - 4*d**2 - 33 = 0. What is d?
-5, -1
Let s(t) = -10*t**4 + 10*t**3 - t**2. Let y(z) = -3*z**4 + 3*z**3. Let l(k) = 8*k**3 + k**2 + k + 1. Let v be l(-1). Let b(i) = v*y(i) + 2*s(i). Factor b(x).
x**2*(x - 2)*(x + 1)
Let m = 14278 - 14274. Factor 3/4*h**3 + 0*h + 0 - 1/4*h**m + 0*h**2.
-h**3*(h - 3)/4
Suppose 28/5*d**3 - 16*d**2 - 2/5*d**4 + 0 + 0*d = 0. What is d?
0, 4, 10
Suppose -251*k + 168 = -167*k. Factor 0 + 33/2*s**3 + 1/2*s + 20*s**4 + 8*s**5 + 5*s**k.
s*(s + 1)**2*(4*s + 1)**2/2
Let f be ((-1)/17)/(1872/(-7956)). Factor 0*l**3 + 1/4*l**5 - 1/2*l**2 - f*l + 0 + 1/2*l**4.
l*(l - 1)*(l + 1)**3/4
Let o(i) be the first derivative of -i**4/2 - 14*i**3/3 - 15*i**2 - 18*i + 86. Solve o(d) = 0 for d.
-3, -1
Let p(k) be the second derivative of -k**4/30 + 44*k**3/15 - 484*k**2/5 - 23*k - 4. Let p(w) = 0. Calculate w.
22
Let g(j) be the third derivative of 0*j - 2/3*j**4 + 0 + 1/15*j**5 - 30*j**2 - 10/3*j**3. Solve g(t) = 0 for t.
-1, 5
Suppose 338*a - 439*a = 0. Suppose 1/3*o**4 + a*o + 0 - 2/3*o**3 - o**2 = 0. Calculate o.
-1, 0, 3
Let z(x) = 98*x**2 - 62*x + 8. Let w(t) = -t + 1. Let o(g) = 4*g - 3. Let r(b) = -o(b) - 3*w(b). Let h(f) = 6*r(f) - z(f). Factor h(c).
-2*(7*c - 2)**2
Let j(q) be the first derivative of -3/2*q + 1/6*q**3 + 1/2*q**2 - 6. Suppose j(s) = 0. What is s?
-3, 1
Let g be 2/5*1 - 78/(-5). Suppose 3*y - g = -7. Factor 9/4*w**4 + 0 + 1/4*w**2 - 3/2*w**y + 0*w - w**5.
-w**2*(w - 1)**2*(4*w - 1)/4
Let m(n) be the third derivative of n**6/60 + n**5/3 + 7*n**4/12 - 6*n**3 - 3*n**2 + 17. Solve m(i) = 0 for i.
-9, -2, 1
Let f(x) = x - 9. Let u be f(5). Let c be u/((-16)/(-4)) + 3. Factor -3*w**2 + 4*w**2 + c*w**4 - 3*w**2.
2*w**2*(w - 1)*(w + 1)
Let x be (-1)/(-1) + 318/(-2703) + 393/17. What is b in -4*b - 48*b**3 + 2/9 + x*b**2 = 0?
1/6
Suppose -2*l = -2 - 2. Let q = 7 + -3. Determine i, given that -q + 2*i**l + 14 - 12 = 0.
-1, 1
Suppose -6*v + 3*v = -3*o - 18, 5*v + 3*o - 22 = 0. Factor -9*p**3 - 8*p**3 + 16*p**3 + p**v.
p**3*(p - 1)*(p + 1)
Let w(y) = -3*y**3 - 5*y**2 - 8*y - 2. Let c(o) = o - 2. Let f be c(1). Let s be w(f). Factor 2/7*m**s - 2/7*m**2 + 0*m + 2/7*m**3 + 0 - 2/7*m**5.
-2*m**2*(m - 1)**2*(m + 1)/7
Let p = 1572 - 14146/9. Let h be ((-1)/18)/(1/(-8)). Find z, given that -h + p*z + 2/9*z**2 = 0.
-2, 1
Let u be (0 + 5)*(-18)/(-5). Suppose 0 = -4*v - 2*f + 20, -2*f - f + u = 3*v. Suppose 3*t - 3*t**2 + v*t**2 - 2*t**2 = 0. What is t?
0, 3
Let f(v) be the first derivative of v**4/4 - 4*v**3/3 + 1. Find x such that f(x) = 0.
0, 4
Let c be (86/((-8)/(-4)))/1. Let a = c - 209/5. Suppose a*x**2 + 0*x + 2/5*x**3 - 8/5 = 0. What is x?
-2, 1
Suppose 3 = -4*y + 15. Let n be (15/(-90))/((-55)/66). Let -3/5*v + 2/5*v**y + 1/5*v**5 - 2/5*v**2 - n + 3/5*v**4 = 0. What is v?
-1, 1
Let k(z) be the first deri