10 + 1/1). Find p, given that 1/4*p**5 + 15/2*p + 29/4*p**3 + 2 + 43/4*p**2 + w*p**4 = 0.
-4, -2, -1
Let z(s) = -3*s**3 + s**2 - s + 2. Let g(i) = -68*i**3 + 54*i**2 - 160*i + 152. Let a(m) = -2*g(m) + 44*z(m). Factor a(r).
4*(r - 9)*(r - 6)*(r - 1)
Let h be (-1)/(-5)*3 - (-2)/(-10). Let g(f) be the second derivative of 0 + 1/25*f**5 + 1/5*f**4 + 3*f + 2/5*f**3 + h*f**2. Determine v, given that g(v) = 0.
-1
Let j(p) be the third derivative of -p**7/42 + p**6/8 + 3*p**5/4 - 45*p**4/8 - p**2 + 795. Factor j(g).
-5*g*(g - 3)**2*(g + 3)
Let v(g) be the third derivative of 0 - 7/150*g**5 + 4/15*g**3 + 2/15*g**4 + 6*g**2 - 2*g - 1/60*g**6. Solve v(q) = 0 for q.
-2, -2/5, 1
Determine r so that -111/5 - 22*r + 1/5*r**2 = 0.
-1, 111
Let c(i) be the third derivative of -2*i**7/105 - 2*i**6/15 - i**5/15 + i**4 - 519*i**2 - 2*i + 1. Factor c(t).
-4*t*(t - 1)*(t + 2)*(t + 3)
Let f(v) = v**3 - 2*v**2 + 12*v - 56. Let m be f(8). Let n = m - 420. Factor -2/5*g - 6/5*g**3 + 2/5*g**n + 0 + 6/5*g**2.
2*g*(g - 1)**3/5
Let y = 5898 + -943679/160. Let s(t) be the third derivative of -11*t**2 - 3/80*t**5 + 0 + 1/16*t**4 + y*t**6 + 0*t + 0*t**3. Factor s(b).
3*b*(b - 2)*(b - 1)/4
Suppose -16/3*c**2 - 1/3*c + 0 = 0. What is c?
-1/16, 0
Suppose -3217*z - 456 = -3331*z. Factor 3/4*m - 1/4*m**5 - 1/2*m**2 - 1/4 - 1/2*m**3 + 3/4*m**z.
-(m - 1)**4*(m + 1)/4
Let o = -3302411/4 - -825632. Find t, given that -6591 - 3/8*t**3 - o*t**2 - 1521/2*t = 0.
-26
Let p(z) = 10*z**2 + 290*z + 2250. Let q(u) be the second derivative of 5*u**4/12 + 24*u**3 + 1125*u**2/2 - 195*u. Let x(w) = 3*p(w) - 5*q(w). Factor x(n).
5*(n + 15)**2
Factor 1/5*h**3 + 34481/5 - 1537/5*h - 17/5*h**2.
(h - 29)**2*(h + 41)/5
Factor 12/7*l**3 + 24/7*l + 2/7*l**4 + 8/7 + 26/7*l**2.
2*(l + 1)**2*(l + 2)**2/7
Let s = 113/755 + -411/12835. What is x in 108/17*x + 72/17*x**2 + s*x**4 + 54/17 + 20/17*x**3 = 0?
-3, -1
Let h be ((210/(-8))/15)/((-1)/(-100)). Let m be (h/20)/(-7) + 36/(-48). Factor 3*z + m*z**2 + 5/2.
(z + 1)*(z + 5)/2
Let d(y) = -y**3 + 43*y**2 - 42*y + 7. Let v be d(42). Solve -23*z + z**2 - 9*z - 4*z**2 - 54 + 6*z - v*z = 0.
-9, -2
Let a be (4/8)/(18/34596). Let -13*l**2 - 168*l + 566 + 17*l**2 + a + 237 = 0. What is l?
21
Let f(m) = -m**3 - 2*m - 5. Let v be f(-2). Let j(k) = k + 2. Let b be j(v). Let -219 + 219 + 0*c - b*c**2 - 6*c - 3*c**3 = 0. What is c?
-2, -1, 0
Let m(v) be the third derivative of -v**7/1680 + v**6/72 + 59*v**3/3 - 25*v**2 + 3*v. Let d(r) be the first derivative of m(r). Factor d(x).
-x**2*(x - 10)/2
Suppose -9*u = -19 + 1. Suppose d = -0*d - u*f - 4, -28 = -4*d + 3*f. Factor 2*x**d + 0*x + 4/3*x**3 + 0 + 0*x**2 - 4/3*x**5.
-2*x**3*(x - 2)*(2*x + 1)/3
Suppose -o = 24*o - 50. Factor -14*t**2 + 24*t**2 - 30*t**o + 4*t**3.
4*t**2*(t - 5)
Let v(h) be the first derivative of 5*h**4/4 + 560*h**3/3 + 1105*h**2/2 + 550*h - 1295. Solve v(q) = 0 for q.
-110, -1
Let n(a) be the first derivative of -a**6/42 + a**5/35 + 5*a**4/28 - a**3/21 - 4*a**2/7 - 4*a/7 - 955. Let n(x) = 0. What is x?
-1, 2
Suppose 0 = -282*a - 703*a. Factor 0*n + 3/4*n**3 - 33/2*n**2 + a.
3*n**2*(n - 22)/4
Solve 8/11 + 170/11*k**2 - 190/11*k**3 - 16/11*k**5 + 92/11*k**4 - 64/11*k = 0 for k.
1/4, 1/2, 1, 2
Let h(g) be the second derivative of g**6/120 + 23*g**5/80 + 107*g**4/48 + 85*g**3/24 - 255*g. Factor h(m).
m*(m + 1)*(m + 5)*(m + 17)/4
Factor 94/7*d**4 + 0*d - 1152/7*d**2 + 0 - 2/7*d**5 - 1056/7*d**3.
-2*d**2*(d - 24)**2*(d + 1)/7
Let n(s) be the first derivative of -5/3*s**3 - 26 - 15*s + 10*s**2. Factor n(t).
-5*(t - 3)*(t - 1)
Let r(a) be the first derivative of 123 - 33/2*a**2 + a**3 + 72*a. Factor r(c).
3*(c - 8)*(c - 3)
Suppose 0 = 73*r - 51*r - 2684. Suppose r = 36*q + 25*q. Factor 2/9 + t**q + 1/9*t**4 - 5/9*t**3 - 7/9*t.
(t - 2)*(t - 1)**3/9
Let i(b) be the first derivative of 108/7*b**2 - 25 - 5832/7*b - 2/21*b**3. Let i(y) = 0. What is y?
54
Let j be 7 - (0/(-6) + 1). Let w(l) = 21*l**2 - 672*l - 198. Let b(c) = c + 1. Let f(z) = j*b(z) + w(z). Let f(i) = 0. What is i?
-2/7, 32
Let a(i) = i**3 - 9*i**2 - 50*i - 26. Let s be a(13). Let m(f) be the first derivative of -1/8*f**2 + s*f + 1/16*f**4 + 33 + 0*f**3. Factor m(q).
q*(q - 1)*(q + 1)/4
Suppose 436 = 4*p + 2*t, 117 = 3*p - 4*t - 199. Let l be 114/60 + (-4 - p/(-30)). Factor -15 - 9/2*b + l*b**2.
3*(b - 5)*(b + 2)/2
Let p(u) = -2*u**3 + 126*u**2 - 255*u + 134. Let b(c) = 7*c**3 - 505*c**2 + 1022*c - 535. Let g(k) = 6*b(k) + 22*p(k). Factor g(f).
-2*(f - 1)**2*(f + 131)
Factor -h**2 - 10090759 - 144*h - 289*h + 10091193.
-(h - 1)*(h + 434)
Let r = -3143/90 + -221/45. Let f = -235/6 - r. What is z in -3/2*z**3 - 1/3*z**4 + 0*z**2 + 0 + 1/2*z**5 + f*z = 0?
-1, 0, 2/3, 2
Suppose -16*q = -10*q - 24. Suppose 2*r - q*i = 20, -5*r - 55*i - 5 = -54*i. Determine g so that -1/8*g - 1/4*g**2 - 1/8*g**3 + r = 0.
-1, 0
Suppose -5*k - 3*q + 47 = 0, -6 + 22 = 4*q. Suppose 23 = k*f - 166. Let -f*i**4 + 0 + 8/3*i + 68/3*i**2 + 42*i**3 = 0. Calculate i.
-2/9, 0, 2
Solve 144/7*l + 144/7 - 4/7*l**3 - 4/7*l**2 = 0 for l.
-6, -1, 6
Let f(n) be the second derivative of 0*n**2 + 0 + 0*n**3 + 1/15*n**6 + 93*n + 1/18*n**4 - 1/10*n**5 - 1/63*n**7. Factor f(t).
-2*t**2*(t - 1)**3/3
Suppose -5*q - 2*q + 40 = q. Let z(f) be the third derivative of 0*f - 31*f**2 + 1/75*f**q + 0 - 1/15*f**3 + 1/60*f**4. Factor z(k).
2*(k + 1)*(2*k - 1)/5
Let v(i) be the first derivative of -12/5*i**2 + 6/5*i**5 - 160 + 6/5*i**4 - 22/5*i**3 - 2/5*i**6 + 24/5*i. Let v(y) = 0. Calculate y.
-1, 1/2, 2
Suppose -741*s + 748*s = -392. Let n be s/(-686)*35/10. Factor -n + 8/7*k**2 - 6/7*k.
2*(k - 1)*(4*k + 1)/7
Factor -1/4*z**4 - 487/2*z + 445/4 - 41/2*z**3 + 153*z**2.
-(z - 5)*(z - 1)**2*(z + 89)/4
Let i = -1432/7 - -485434/2373. Let l = 325/2373 - i. Factor -l*s**3 + 0 + 2/7*s**2 - 1/7*s.
-s*(s - 1)**2/7
Solve -566/5*o**2 - 3384/5*o - 16/5*o**3 - 567 + 1/5*o**4 = 0 for o.
-9, -1, 35
Solve -844/5*p + 178084/5 + 1/5*p**2 = 0 for p.
422
Let a(c) be the first derivative of -c**5/180 + 3*c**4/8 - 13*c**3/9 + 175*c**2/2 - 56. Let f(t) be the second derivative of a(t). Let f(h) = 0. What is h?
1, 26
Let v(c) be the first derivative of 28322*c**3/15 - 1904*c**2/5 + 128*c/5 - 1795. Determine q so that v(q) = 0.
8/119
Let p(w) be the first derivative of 0*w**2 - w + 2/15*w**3 - 23 + 0*w**4 - 3/100*w**5 + 1/150*w**6. Let z(k) be the first derivative of p(k). Factor z(j).
j*(j - 2)**2*(j + 1)/5
Let a(j) = j**2 - 1. Let k(t) = -99*t**3 - t**2 + 52*t**3 + 13*t**2 + 2 + 49*t**3. Let z(d) = -2*a(d) - k(d). Factor z(l).
-2*l**2*(l + 7)
Let m(r) = r**2 - 5*r - 48. Let n be m(10). Find p such that 5*p**2 - 3*p**2 - 40 + 2*p**n + 4 = 0.
-3, 3
Find r such that 6 - 35/2*r + 11*r**2 = 0.
1/2, 12/11
Suppose 0*i - 9 = -2*t - 3*i, 2*i - 8 = -2*t. Solve -t - j + 17*j**3 + 3*j**2 - 39*j**3 + 23*j**3 + 0*j**2 = 0.
-3, -1, 1
Determine l so that -129145220*l**3 + 129147608*l**3 - 191*l**4 + 12992*l - l**5 - 9680*l**2 + 0*l**5 = 0.
-203, 0, 4
Let z = -5214/665 - -962/95. Determine n, given that 1/7*n**2 + z + 8/7*n = 0.
-4
Let d = -316 + 383. Find l, given that -3*l**2 + 62*l**3 + 8 - 5 - 3 + 9*l - d*l**3 - l**4 = 0.
-3, 0, 1
Let r = 15 + -11. Suppose 5*z - 12375 = -5*w, -9381 = -r*z + 2*w + 537. Factor g - 2478 + z + g**2.
g*(g + 1)
Factor -3383*v + 1288*v + 2*v**5 + 1930*v + 4968*v**2 + 7776 + 72*v**4 - 1044*v**3 - 7124*v - 2917*v.
2*(v - 3)**4*(v + 48)
Let v be ((26832/2600)/(-86))/(1*2/(-10)). Factor -4/5 + 2/5*o**3 + v*o**2 - 4/5*o - 1/5*o**4.
-(o - 2)**2*(o + 1)**2/5
Suppose 232 = t + 3*a, -t - 12*a + 17*a + 200 = 0. Factor -5*z**3 + 275*z**2 - 74*z - t*z**2 - 46*z.
-5*z*(z - 8)*(z - 3)
Let z = 1120 - 1957. Let i = 839 + z. Factor -45/2*j + 3/2 + 225/2*j**i - 375/2*j**3.
-3*(5*j - 1)**3/2
Suppose 0 = 5*r, 2*o - 4*o + 556 = -4*r. Let q = -553/2 + o. Factor -3/2*n - 9/2 + q*n**3 + 9/2*n**2.
3*(n - 1)*(n + 1)*(n + 3)/2
Let r(k) be the first derivative of -3*k - 5/4*k**2 - 1/6*k**3 - 114. What is o in r(o) = 0?
-3, -2
Suppose -3*r + 0 = -30. Factor -49*j**2 + r*j - 5*j**3 + 9*j**2 + 35*j.
-5*j*(j - 1)*(j + 9)
Suppose -5*n + 2*y - 22 = 0, n - 3*y - 1242 + 1288 = 0. Factor 20/9 - 2/9*o**n + 13/3*o.
-(o - 20)*(2*o + 1)/9
Let t(y) be the second derivative of y**6/6 - 35*y**5/4 - 125*y**4/4 + 175*y**3/6 + 185*y**2 + 1096*y. Let t(q) 