 1)/5. Suppose -2*i = -5*p - z, 10 = 3*i + 3*p - 5. Factor 250*y**5 - 210*y**i + 420*y**3 + 9*y - 340*y**4 + 7*y - 136*y**2.
2*y*(y - 1)*(5*y - 2)**3
Let a(b) be the first derivative of 10*b**3/3 - b**2/2 + 502. Factor a(d).
d*(10*d - 1)
Let d(n) = -n**3 + 5*n**2 - 3*n - 1. Let w be d(4). Determine s, given that -18*s**3 + 408*s**4 - 33*s**2 - 413*s**4 + 18*s - 10*s**w = 0.
-3, 0, 2/5
Let p(h) = -h**2 - h + 34. Let c be p(-6). Factor -11*f**3 - 13*f**2 - 7*f**3 + 4*f**3 + f**2 + 6*f**c.
2*f**2*(f - 3)*(3*f + 2)
Let c(x) = -x**2 + 19*x - 18. Let p be c(19). Let o = 22 + p. Solve -8*m + 3 - 1 + 7 + o*m**2 - 5 = 0.
1
Let h = 136 - 280. Let b be h/(-40)*(-2)/(-3). Factor 6/5 - 3*g - 3/5*g**3 + b*g**2.
-3*(g - 2)*(g - 1)**2/5
Solve 6*r + 3*r**3 + 10*r**2 + r - r**4 - 7*r = 0.
-2, 0, 5
Factor -7/2*k**2 + 8 - 1/2*k**3 + 5*k.
-(k - 2)*(k + 1)*(k + 8)/2
Let t(d) be the third derivative of d**6/60 - 3*d**5/10 + 5*d**4/4 - 7*d**3/3 - 16*d**2. Factor t(c).
2*(c - 7)*(c - 1)**2
Let w = 125/1068 + -3/89. Let s(b) be the first derivative of 5 + w*b**4 + 2/3*b**2 + 4/9*b**3 + 0*b. Factor s(p).
p*(p + 2)**2/3
Let f = 60 + -54. Let t(q) be the second derivative of 0 - 1/80*q**5 + 0*q**3 + 0*q**4 - 1/60*q**f + 0*q**2 + 5*q. Find m, given that t(m) = 0.
-1/2, 0
What is g in -g**2 + 44/5*g - 7/5*g**3 - 12/5 = 0?
-3, 2/7, 2
Find u, given that 1/6*u**2 - 29/3*u + 841/6 = 0.
29
Let s(j) be the second derivative of j**6/15 - 6*j**5/5 - j**4/6 + 4*j**3 + 224*j. Factor s(a).
2*a*(a - 12)*(a - 1)*(a + 1)
Factor -48*u + 3*u**3 + 5*u**2 + u**2 + 51*u.
3*u*(u + 1)**2
Let j(v) be the second derivative of -v**4/66 - 5*v**3/33 - 6*v**2/11 - 4*v + 2. Solve j(t) = 0.
-3, -2
Let i be (-84)/(-6) - (-110)/(-11). Let k(p) be the first derivative of 0*p + 3/4*p**i + 5 - 2*p**3 + 3/2*p**2. Let k(r) = 0. What is r?
0, 1
Let d be (-2275)/70*12/10. Let i be d/21 - (-36)/18. Factor 2/7*f**2 + i*f**3 + 0*f + 0.
f**2*(f + 2)/7
Let l(g) = 6*g**4 + 24*g**3 - 62*g**2 + 32*g. Let a(h) = 7*h**4 + 23*h**3 - 62*h**2 + 32*h. Let x(z) = 4*a(z) - 5*l(z). Determine f, given that x(f) = 0.
-16, 0, 1
Let v(q) be the third derivative of -2*q**5/75 + 11*q**4/60 + q**3/5 - 24*q**2. Solve v(j) = 0.
-1/4, 3
What is w in -2/13*w**2 + 168/13*w - 3528/13 = 0?
42
Suppose -11 = -3*r + y, -2*r + 2*y - y + 8 = 0. Let z(m) be the first derivative of 1/4*m**2 + 0*m - r + 1/6*m**3. Factor z(k).
k*(k + 1)/2
Find i, given that 0 - 2/13*i**2 - 36/13*i = 0.
-18, 0
Let m(y) = 3*y**3 + 2*y**2 - y. Let q be m(2). Let w = 30 - q. Factor w - 4/9*t**2 + 0*t - 14/9*t**3 - 10/9*t**4.
-2*t**2*(t + 1)*(5*t + 2)/9
Suppose -2/15*a**4 + 2/5*a**2 + 4/15*a**3 + 0*a + 0 = 0. Calculate a.
-1, 0, 3
Let q(m) be the second derivative of -m**6/12 + 5*m**5/8 - 5*m**4/8 - 15*m**3/4 + 358*m. Factor q(x).
-5*x*(x - 3)**2*(x + 1)/2
Let c = -1873/136 + 113/8. Factor 2/17*p**3 + 6/17*p - c*p**2 - 2/17.
2*(p - 1)**3/17
Let p(z) be the second derivative of -z**6/10 + 39*z**5/10 - 109*z**4/4 - 390*z**3 - 1350*z**2 + 55*z. Factor p(g).
-3*(g - 15)**2*(g + 2)**2
Let v = -42 + 64. Let t = v + -16. Factor -5*d**3 - 50 + 5*d + 3*d**2 + 2*d**4 + 51 - t*d**4.
-(d - 1)*(d + 1)**2*(4*d + 1)
Suppose h + 13 = 4*k - 0*h, 2*k = 4*h + 24. Suppose 4*u - 9*u + 4*u**k + 13*u = 0. What is u?
-2, 0
Let h be (-4 + 11)/(-22 - -82). Let z(c) be the third derivative of h*c**5 + 0*c + 0*c**3 + 8*c**2 + 1/12*c**4 + 0. Factor z(f).
f*(7*f + 2)
Let d be (-12)/(-14) + (-57602)/(-12145). Factor -24/5*j - 4/5*j**2 + d.
-4*(j - 1)*(j + 7)/5
Suppose -7*f + 20 = -36. Suppose 0 = p + 4*l + f, -2*p = -l + 5*l + 8. Factor -1/4*u + 1/4*u**4 + 1/4*u**3 - 1/4*u**2 + p.
u*(u - 1)*(u + 1)**2/4
Factor -2/5*n**2 + 168/5*n - 3528/5.
-2*(n - 42)**2/5
Let b = -79 + 45. Let u = b + 36. Find j, given that -1/3*j - 2/3*j**4 + 0*j**3 + 2/3*j**u + 0 + 1/3*j**5 = 0.
-1, 0, 1
Let l be 10/55 + (-4)/(-99) - (-6)/(-27). Determine a, given that -1/3*a**3 - 2/3*a**2 + l*a + 0 = 0.
-2, 0
What is b in -10*b**5 + 182/3*b**4 + 8 - 152/3*b + 118*b**2 - 126*b**3 = 0?
2/5, 2/3, 1, 3
Let b = 25 + -17. Let q be (1 + 1 + -5)*-1. Factor 0*p + 6*p**3 - b*p - q*p**2 + 2*p + 3*p**4.
3*p*(p - 1)*(p + 1)*(p + 2)
Let i(m) be the first derivative of m**3/2 + 27*m**2/4 + 12*m - 41. Solve i(b) = 0 for b.
-8, -1
Suppose 43*o + 372 = 46*o. Factor -b**4 - 2*b**2 - 126 - b + b**3 + o + 5*b**2.
-(b - 2)*(b - 1)*(b + 1)**2
Let k(t) = 2*t**3 - 6*t**2 - t + 2. Let v be k(5). Suppose v*s - 4 = 95*s. Let 0 - 4/9*o**3 + 4/9*o - 2/9*o**s + 2/9*o**4 = 0. What is o?
-1, 0, 1, 2
Let m(n) be the first derivative of -3*n**5/20 - 3*n**4/4 - 4*n + 25. Let z(v) be the first derivative of m(v). Let z(u) = 0. What is u?
-3, 0
Solve -3/4*h**4 + 0 + 21/4*h**2 + 0*h**3 - 9/2*h = 0 for h.
-3, 0, 1, 2
Let i(s) = 31*s + 1. Let t be i(1). Determine u, given that -t - 2*u**4 + 6*u**4 + 28*u**3 - 16*u - 8*u**3 + 24*u**2 = 0.
-2, 1
Factor 20/3*b - 4/3*b**3 + 4*b**4 - 28/3*b**2 + 0.
4*b*(b - 1)**2*(3*b + 5)/3
Let r(w) be the third derivative of 0*w + 12*w**2 + 7/12*w**4 - 1/20*w**6 - 2/3*w**3 - 1/15*w**5 + 0. Factor r(j).
-2*(j - 1)*(j + 2)*(3*j - 1)
Let l(g) be the second derivative of -g**4/12 + 9*g**2/2 + 33*g. Let n be l(-3). Determine m, given that 0*m + 1/7*m**2 + n + 1/7*m**3 = 0.
-1, 0
Let r be (-749)/214 - (-7 - (-1 + (-2 - -1))). Factor 27/4*u**3 + 0 + r*u + 33/4*u**2.
3*u*(u + 1)*(9*u + 2)/4
Let m(n) be the first derivative of 10/3*n**6 + 25/4*n**4 - 1 + 10*n + 50/3*n**3 - 12*n**5 - 45/2*n**2. Solve m(s) = 0.
-1, 1/2, 1, 2
Let q be 3*(-2)/3 + (108/20 - 3). Factor 1/5*g**2 + q*g + 0.
g*(g + 2)/5
Let l(a) be the second derivative of 5/4*a**4 - 15/2*a**2 - 1/4*a**5 + 0 - 42*a + 5/6*a**3. Factor l(v).
-5*(v - 3)*(v - 1)*(v + 1)
Let p = -803 - -807. Let b(s) be the second derivative of 1/294*s**7 + 2/21*s**3 - 1/28*s**5 - 1/28*s**p + 0*s**2 + 7*s + 1/70*s**6 + 0. Factor b(h).
h*(h - 1)**2*(h + 1)*(h + 4)/7
Let s be (-78)/26*2/(-3). Let o be 1772/308 + -5 - s/11. Suppose 0 - 8/7*z**2 + o*z + 4/7*z**3 = 0. What is z?
0, 1
Let l be 2 - ((-538)/(-184) + 27/(-36)). Let q = l - -74/161. Factor -q*h - 1/7*h**2 + 0.
-h*(h + 2)/7
Let r(z) be the second derivative of -z**5/90 - z**4/54 + 2*z**3/27 + 189*z. Factor r(g).
-2*g*(g - 1)*(g + 2)/9
Suppose 5 = g + 3*i, -i + 1 = g - 2*i. Suppose 0 = 2*t + 2*t - g*x - 8, -3*t + 5 = -2*x. Solve -l**2 + l**2 - l**2 + 2*l**t - l**4 = 0.
0, 1
Factor -16*y**2 + 3*y**4 + 36*y**2 - 3*y**3 - 13*y**2 - 13*y**2.
3*y**2*(y - 2)*(y + 1)
Let p(w) be the first derivative of -w**6/6 + 4*w**5/15 + 7*w**4/12 - 4*w**3/9 - 2*w**2/3 - 84. Solve p(h) = 0.
-1, -2/3, 0, 1, 2
Let r = -799/4 - -200. Let o(m) be the first derivative of -m + 9 + 1/2*m**3 - r*m**4 + 3/4*m**2. Let o(f) = 0. What is f?
-1, 1/2, 2
Let d = -9046/5 - -1812. Suppose -4/5 - 32/5*a**2 - 22/5*a - d*a**3 = 0. Calculate a.
-1, -2/7
Let t(o) be the first derivative of -o**5/2 - 7*o**4/8 + o**3/6 + 3*o**2/4 - 228. Factor t(m).
-m*(m + 1)**2*(5*m - 3)/2
Let y(o) be the third derivative of -o**5/90 + 13*o**4/36 + 10*o**3/3 - 3*o**2 - 4*o. Solve y(d) = 0 for d.
-2, 15
Let w(r) be the first derivative of 72*r + 15 - 126*r**2 + 4/3*r**5 - 47/3*r**4 + 68*r**3. Let w(h) = 0. What is h?
2/5, 3
Let t = -109/3 + 37. Suppose 0 = 3*j - 3*q - 12, 0 = j - 53*q + 57*q + 16. Determine y, given that j - 2/3*y**4 - 4/9*y + 2/9*y**3 + t*y**2 + 2/9*y**5 = 0.
-1, 0, 1, 2
Let g(m) = m**2 - m - m**2 + 52*m**3 - 8*m**2 - 53*m**3. Let y(w) = -w**3 - w + 1. Let s(v) = -3*g(v) - 6*y(v). Solve s(k) = 0 for k.
-2, -1, 1/3
Suppose -2/5*y**4 + 0*y**2 - 6/5*y**3 + 0 + 0*y = 0. What is y?
-3, 0
Let n(t) = -t**3 - t**2 - 4*t - 9. Let m be n(-2). Let l(r) be the third derivative of -1/42*r**4 + 0 + 0*r + 1/210*r**5 + 8*r**2 + 1/21*r**m. Factor l(u).
2*(u - 1)**2/7
Let z(j) be the second derivative of 5/4*j**2 + 5/8*j**3 - 1/16*j**5 + 0*j**4 - 21*j + 0. Factor z(c).
-5*(c - 2)*(c + 1)**2/4
Let v(f) = -f**3 + 14*f**2 + f + 4. Let o be v(0). Determine w, given that -w**2 + 3/4*w**3 - w + w**o + 0 + 1/4*w**5 = 0.
-2, -1, 0, 1
Let k(u) = -u. Let a be k(-3). Let -1386*h**2 - 18 + 2*h**3 - a*h**3 + 3*h + 1390*h**2 = 0. Calculate h.
-2, 3
Let w = 12 - 9. Factor x**w + x**3 + 0*x**3.
2*x**3
Let a(n) be the first derivative of -n**6/12 - n**5/10 + 5*n**4/4 - 4*n**3/3 + 128. Determine r, given that a(r) = 0.
-4, 0, 1, 2
