((-8)/(-120))/(5*(-9)/(-300)). Find w such that -8/9*w**2 + 2/9*w**3 - o + 10/9*w = 0.
1, 2
Let d(p) = 20*p**4 + 9*p**3 + 21*p**2 - 17*p. Let o(x) = 11*x**4 + 5*x**3 + 11*x**2 - 9*x. Let i(b) = 6*d(b) - 11*o(b). Find r such that i(r) = 0.
-3, 0, 1
Let j(d) be the first derivative of -1/45*d**6 - 1/3*d**2 - 6 - 4/9*d**3 - 2/15*d**5 - 1/3*d**4 - 2/15*d. Factor j(i).
-2*(i + 1)**5/15
Let h(l) = -l**3 + 6*l**2 + 6*l + 12. Let c be h(7). Find n such that -n + 2 - 8*n**3 + 8*n**4 + 77*n**2 + c*n - 83*n**2 = 0.
-1/2, 1
Let v = -13873/3 + 4625. Find h such that -10/3*h + v*h**3 - 2/3*h**4 + 2*h**2 + 4/3 = 0.
-2, 1
Let f = 8136 + -8134. Suppose -2/17*c - 2/17*c**f + 0 = 0. What is c?
-1, 0
Let u(k) = 3*k**3 + 4*k**2 + 1. Let g be u(1). Let n(i) be the second derivative of g*i + 0 + i**5 - 2/3*i**4 + 4*i**2 - 10/3*i**3. Let n(o) = 0. Calculate o.
-1, 2/5, 1
Let b be 0/(43/9 - 25/(1800/(-16))). Factor -5/2*j - 5/2*j**2 + b.
-5*j*(j + 1)/2
Let r(k) be the third derivative of 1/24*k**4 - 1/120*k**6 - 11*k**2 + 0*k + 0 - 1/6*k**3 + 1/60*k**5. Factor r(u).
-(u - 1)**2*(u + 1)
Let s be (14/84)/(513/(-12)). Let z = s - -173/513. Let d + 0 + z*d**2 = 0. What is d?
-3, 0
Let p be (-25)/14 - (1 - 4). Let m = p - 5/7. Factor m*r - 1/2 - 1/2*r**3 + 1/2*r**2.
-(r - 1)**2*(r + 1)/2
Let w = 166 - 36. Let a = w + -908/7. Determine t, given that 0*t + 2/7 - a*t**2 = 0.
-1, 1
Let c be ((-45)/(-60) + (-3660)/(-112))*(-14)/(-3). What is y in 320/3*y - 20/3*y**4 - 64/3 - c*y**2 + 178/3*y**3 = 0?
2/5, 1/2, 4
Let d(z) = z**2 - 160*z + 4958. Let y be d(118). Solve 0*v + 0 + 3/2*v**4 + 0*v**y + 3/4*v**3 + 3/4*v**5 = 0.
-1, 0
Let g = -235/3 - -943/12. Let 1/4 - 1/4*b**2 - g*b**3 + 1/4*b = 0. Calculate b.
-1, 1
Let f(b) be the first derivative of b**6/75 + b**5/25 - 2*b**3/15 - b**2/5 + 2*b + 3. Let y(r) be the first derivative of f(r). Find l such that y(l) = 0.
-1, 1
Let p be (-2 - (-1)/(5 - 4)) + 7/7. Find s, given that -2/21*s**3 - 2/21*s**2 + 0 + p*s = 0.
-1, 0
Let l = -59 - -64. Let 2*r - 6*r**2 - 58*r**5 + 2*r**2 + 56*r**l + 2*r**4 + 2*r**4 = 0. What is r?
-1, 0, 1
Suppose -3*u + 4 = -2*x, x - u + 3 = 1. Let g be (-3 - x) + 0 + 1. Let 9*i + g*i**3 + 5*i**3 + 15*i**2 + i = 0. Calculate i.
-2, -1, 0
Suppose 0 = -19*k + 22*k. Let w = -35/34 + 26/17. Factor -1/2*g**4 - 1/2*g + w*g**2 + 1/2*g**3 + k.
-g*(g - 1)**2*(g + 1)/2
Let t be (279/(-12))/(5/20). Let r = t + 657/7. Solve -2/7*m**3 + 4/7 - 10/7*m**2 + 2/7*m + r*m**4 = 0.
-1, -2/3, 1
Let a(v) be the third derivative of v**7/105 + v**6/60 - v**5/15 + v**2 + 88. Factor a(i).
2*i**2*(i - 1)*(i + 2)
Let c(q) be the first derivative of -35/4*q**4 + 20/3*q**3 + 7 - 10*q**5 - 5/2*q**6 + 0*q + 10*q**2. What is j in c(j) = 0?
-2, -1, 0, 2/3
Let a(i) be the first derivative of 5*i**3/3 - 5*i**2 - 19. Factor a(y).
5*y*(y - 2)
Let q(g) = -40*g**3 - 885*g**2 + 444*g + 451. Let u(k) = 365*k**3 + 7965*k**2 - 3995*k - 4060. Let x(t) = 55*q(t) + 6*u(t). What is c in x(c) = 0?
-89, -1/2, 1
Let h(u) be the third derivative of -u**6/540 + u**5/135 + 84*u**2. What is m in h(m) = 0?
0, 2
Let w(r) be the second derivative of r**4/32 - 3*r**3/8 + 3*r**2/2 - 58*r. Factor w(t).
3*(t - 4)*(t - 2)/8
Let v(u) be the first derivative of -3*u**5 + 0*u**3 + 35/4*u**4 + 9 - 10*u**2 + 0*u. Factor v(h).
-5*h*(h - 2)*(h - 1)*(3*h + 2)
Let w(g) be the third derivative of -g**5/70 + 17*g**4/28 + 502*g**2. Factor w(r).
-6*r*(r - 17)/7
Let l(n) = -159*n - 1431. Let b be l(-9). Suppose -4/7*k**2 + 4/7 + b*k = 0. What is k?
-1, 1
Let s(r) be the second derivative of -r**7/21 - 7*r**6/30 - 7*r**5/20 - r**4/6 - r - 2. Solve s(p) = 0 for p.
-2, -1, -1/2, 0
Let s be 4/(-6) + 214/(-3). Let n be (1/2)/((-2)/s). Factor -23 - 14*u**3 + n*u**2 + 15 - 17*u + 41*u.
-2*(u - 2)*(u + 1)*(7*u - 2)
Let d(x) = 77*x**2 - 93*x - 66. Let v(j) = 39*j**2 - 46*j - 32. Let t(f) = 4*d(f) - 7*v(f). Solve t(r) = 0.
-4/7, 2
Let z(r) = -3*r**2 - 29*r - 168. Let i(l) = -12*l**2 - 108*l - 672. Let j(f) = -2*i(f) + 9*z(f). Determine w, given that j(w) = 0.
-8, -7
Let x be (44040/(-35))/(-4) + (1 - 3). Let p = x + -312. Solve -2/7*a**2 + 1/7*a**5 + 4/7*a**3 - 2/7 - 5/7*a + p*a**4 = 0.
-2, -1, 1
Let k(v) be the second derivative of v**4/12 + 4*v**3 - 25*v**2/2 + v + 54. Factor k(p).
(p - 1)*(p + 25)
Let m(l) = -12*l**2 + 176*l + 440. Let t(j) = 8*j**2 - 117*j - 291. Let p(g) = 5*m(g) + 8*t(g). Determine z so that p(z) = 0.
-2, 16
Let n(i) be the second derivative of i**6/105 + i**5/10 + 5*i**4/14 + 3*i**3/7 + 9*i - 1. Suppose n(p) = 0. What is p?
-3, -1, 0
Suppose 0 = -5*u + 31 + 29. Suppose -4*s + 39 = 7. Factor -2 + u*a + s - 3*a + 3*a**2.
3*(a + 1)*(a + 2)
Let i(d) be the second derivative of 1/16*d**4 - 1/2*d**2 + 1/20*d**5 + 8*d - 1/6*d**3 + 1/120*d**6 + 0. Factor i(s).
(s - 1)*(s + 1)*(s + 2)**2/4
Let s be ((-4)/8)/(-1) - 9/(-6). Suppose 1 - h**5 - 3*h**4 - 2*h**2 + 3*h + 4*h**2 - 5*h**s + 5*h**2 - 2*h**3 = 0. What is h?
-1, 1
Let r(n) be the first derivative of -n**6/36 + n**5/15 + n**4/6 - n**3/9 - n**2/4 - 100. Suppose r(x) = 0. What is x?
-1, 0, 1, 3
Let n be 303*((-15)/9 + 1). Let x = n + 207. Solve -10/3 + 25/3*o - x*o**2 = 0.
2/3, 1
Factor -27/2*w + 9/2*w**4 + 1/2*w**5 + 13*w**3 + 9*w**2 - 27/2.
(w - 1)*(w + 1)*(w + 3)**3/2
Let n(h) be the first derivative of h**4 + 28*h**3/3 - 34*h**2 + 36*h - 27. Solve n(c) = 0.
-9, 1
Let u be (-2)/(-2)*(0 + (-3)/(-162)). Let g(h) be the second derivative of 0*h**2 + 4/135*h**6 - 5*h + 0*h**3 + 1/18*h**5 + 0 + u*h**4. Factor g(z).
2*z**2*(z + 1)*(4*z + 1)/9
Let g = 0 + -3. Let d(b) = 9*b**4 + 4*b**3 - 8*b**2 + 5*b. Let l(a) = -5*a**4 - 2*a**3 + 4*a**2 - 3*a. Let j(q) = g*d(q) - 5*l(q). Suppose j(n) = 0. What is n?
-2, 0, 1
Let -1/6*i**2 + 0 + 7/2*i = 0. What is i?
0, 21
Let u = 1749 - 5246/3. Factor 2/3*s**2 + 0 + 0*s - u*s**4 + 1/3*s**3.
-s**2*(s - 2)*(s + 1)/3
Suppose -176*d = -178*d. Let l(o) be the first derivative of 1/3*o**3 + 1/4*o**2 - 1/5*o**5 + 8 + d*o**4 + 0*o - 1/12*o**6. Solve l(b) = 0.
-1, 0, 1
Let o = 518 - 515. Solve -6/11*h**4 + 10/11*h**o - 2/11*h - 2/11*h**2 + 0 = 0 for h.
-1/3, 0, 1
Let q = -69 - 155. Let b be 4*4*(-2)/q. Factor -1/7*p**3 + 1/7*p + b*p**2 - 1/7.
-(p - 1)**2*(p + 1)/7
Let m be 29/174 + 0/(0 + -3). Solve 0*i + 0*i**2 + 0*i**3 + 0 - 1/6*i**4 - m*i**5 = 0.
-1, 0
Find s, given that -s**4 - 4*s**3 - 4*s + 53*s**2 - 12*s**2 + 22*s**2 + 99 - s**2 - 152*s = 0.
-11, 1, 3
Let j(b) = -2*b**2 - 3*b + 4. Let s be j(-3). Let f be s + 3 + (4 - -1). Suppose 0*u**2 + 2*u**2 + 0*u**f - 6*u**4 - 2*u**3 - 2*u**3 = 0. Calculate u.
-1, 0, 1/3
Let b = 1 + 4. Factor -9 - q - b*q**2 + 2*q**2 + 13*q + 0*q**2.
-3*(q - 3)*(q - 1)
Factor -2/3*m**3 + 0 - 2*m**2 - 4/3*m.
-2*m*(m + 1)*(m + 2)/3
Find f such that 0 + 4*f - 10/7*f**2 - 2/7*f**3 = 0.
-7, 0, 2
Let k = 2 - 14. Let b be (-7 + 2)*k/15. Solve -2*c**2 - 2*c**4 - 4*c**4 + 8*c**b = 0.
-1, 0, 1
Factor -24*v**3 - 22 - 12*v**3 + 15*v**3 + 21*v**2 + 23*v - 2*v**3 + v**4.
(v - 22)*(v - 1)**2*(v + 1)
Factor -5*t**5 - 59*t + 3*t**4 - 403*t**2 - 53*t**4 - 121*t + 103*t**2 - 185*t**3.
-5*t*(t + 2)**2*(t + 3)**2
Let m(g) be the third derivative of -g**8/896 + g**7/112 - 3*g**6/320 - 9*g**5/160 + 12*g**2 - 2*g. Factor m(d).
-3*d**2*(d - 3)**2*(d + 1)/8
Let u(z) be the third derivative of -7/180*z**6 + 0*z + 0 + 0*z**4 + 1/45*z**5 + 1/63*z**7 + 0*z**3 + 11*z**2. Factor u(h).
2*h**2*(h - 1)*(5*h - 2)/3
Let v be (30/(-14))/(-5) - (-286)/(-2366). Determine s, given that 10/13*s**2 - 6/13*s**3 - 2/13*s**4 + 0 - v*s + 2/13*s**5 = 0.
-2, 0, 1
Solve -29/2*h**2 + 25/2 + 3/2*h**3 + 65/2*h = 0.
-1/3, 5
Let v be 14 + -12 - -14*16/(-280). Suppose -3/5*o**2 - 3/5 - v*o = 0. Calculate o.
-1
Let h(r) be the second derivative of -13*r + 0*r**2 - 1/3*r**3 + 1/10*r**6 + 7/12*r**4 + 0 - 2/5*r**5. Factor h(z).
z*(z - 1)**2*(3*z - 2)
Suppose 4*i - 12 = 4. Determine m, given that 117*m**2 + 4*m**i + 0*m**4 - 4*m**3 + 6*m**3 - 2*m - 121*m**2 = 0.
-1, -1/2, 0, 1
Let l(m) be the third derivative of 0*m**3 + 0*m - 1/12*m**4 + 25*m**2 - 1/120*m**6 - 1/20*m**5 + 0. Determine d, given that l(d) = 0.
-2, -1, 0
Let y(p) = 15*p**4 + 3*p**3 + 15*p**2 + 3*p. Let s(a) = 43*a**4 + 11*a**3 + 46*a**2 + 10*a. Let q(c) = -6*s(c) + 17*y(c). Factor q(f).
-3*f*(f + 1)**2*(f + 3)
Let y = 2532 + -2532. Let -16/3*p**4 - 8*p**2 + y - 4/3*p - 12