 3*u - 3 - v. Find w such that u*w + 6*w**2 + 2 + 11*w**3 - 3*w**3 - 6*w**3 = 0.
-1
Let t = 19988/8757 - -4/1251. Let -t*q**5 + 72/7*q**4 - 3/7*q**2 - 73/7*q**3 + 17/7*q + 3/7 = 0. Calculate q.
-1/4, 1, 3
Solve 45/4*x**2 - 6*x - 25/4*x**3 + 1 = 0 for x.
2/5, 1
Let j(x) be the second derivative of x**9/3024 - x**7/84 - x**6/18 - x**5/8 - x**4/3 - 14*x. Let q(n) be the third derivative of j(n). Solve q(l) = 0.
-1, 3
Let v be 6/(2 + (-19)/(-4)). Suppose 3*l + 122*i + 9 = 117*i, 3*l - 15 = 3*i. Factor -4/9*p - v*p**3 + 14/9*p**l - 2/9.
-2*(p - 1)**2*(4*p + 1)/9
Let x = -10/2811 + 628/937. Factor 4/3*a**2 - 4/3*a**4 + 0 - 2/3*a**5 + 0*a**3 + x*a.
-2*a*(a - 1)*(a + 1)**3/3
Let t(z) be the third derivative of z**6/40 - z**5/2 + 13*z**4/8 + 12*z**3 - 106*z**2 + 1. Determine j, given that t(j) = 0.
-1, 3, 8
Suppose 12*q - 13*q + 5 = 0. Factor 0 - 21*p**2 + 1 - 23*p + 8*p + q.
-3*(p + 1)*(7*p - 2)
Let a(j) = 2*j**2 + 12*j + 11. Let w be a(-4). Let q = w + 7. Factor 2/5*m**q - 2*m + 8/5.
2*(m - 4)*(m - 1)/5
Let w(t) = -t**2 + 11*t + 1. Suppose 66 = -0*z + 6*z. Let k(r) = r**2 - 6*r - 1. Let h(n) = z*k(n) + 6*w(n). Factor h(f).
5*(f - 1)*(f + 1)
Let f = 62 + -60. Let 23*s**2 - 54*s**2 - f*s**5 - 4*s**4 + 31*s**2 = 0. Calculate s.
-2, 0
Let a = 234 - 214. Let d be a/(-8)*(-6)/15 + 4. Factor -2*f**3 - 2/3*f**d - 2/3*f**2 - 2*f**4 + 0*f + 0.
-2*f**2*(f + 1)**3/3
What is j in -1080*j + 216/11*j**3 + 5612/11*j**2 + 550 + 2/11*j**4 = 0?
-55, 1
Let x(f) = 2*f - 14. Let r(v) = 10*v - 70. Let q(u) = 3*r(u) - 16*x(u). Let k be q(6). Find b, given that 2*b - 12 + 3*b**2 - 17*b - 6*b**k = 0.
-4, -1
Let w(p) = p. Let h be w(4). Let u be 1/2*-2*(-6 - -6). Determine x, given that 1/4*x - x**2 + u + 9/2*x**h - 3/4*x**3 = 0.
-1/2, 0, 1/3
Let n = -37 + 79. Find k, given that -8*k**2 + 12*k - 14*k**2 - 2*k**5 + 6*k**3 + n*k**4 - 36*k**4 = 0.
-2, 0, 1, 3
Suppose 3*a + 2*w = 0, -6*a + 2*a - 3*w = 1. Factor -2/5*u - 8/5*u**a + 0.
-2*u*(4*u + 1)/5
Suppose 18*j - 6*j - 888 = 0. Let -70*t**3 + 2*t**2 - 2*t**2 + j*t**3 - 4*t**2 = 0. Calculate t.
0, 1
Let r be (-32 - 2619/(-81)) + 52/42 + -1. Factor -8/7*t**3 - 22/7*t**2 - 10/7*t + r.
-2*(t + 1)*(t + 2)*(4*t - 1)/7
Let c be (-36)/(-8)*2/(-12)*-8. Suppose -i + 5*j = c, -j + 0 - 2 = -i. Factor 2/3*m**3 - 2/3*m + 2/3*m**2 - 2/3*m**i + 0.
-2*m*(m - 1)**2*(m + 1)/3
Let x = 29 - 7. Let r be 5*(x/(-10) - -3). Factor 2*i**2 + 98*i**r + 3*i**3 - 98*i**4 - i**5.
-i**2*(i - 2)*(i + 1)**2
Let p(h) be the second derivative of h**5/5 + 29*h**4/3 + 56*h**3/3 - 274*h - 1. Factor p(z).
4*z*(z + 1)*(z + 28)
Let y = 23927/28 - 3441/4. Let b = y + 6. Factor 2/7*v**4 + 0 - 4/7*v**2 + b*v**3 + 0*v.
2*v**2*(v - 1)*(v + 2)/7
Suppose 0*j + 4*j - 4*k + 4 = 0, -12 = -3*k. Suppose j*g - 2*g - 2 = 0. Find b, given that -4*b**4 + 9*b**3 + 1 + 28*b - 13*b**2 - 9 - 23*b**g + 11*b**3 = 0.
1, 2
Suppose 4*b = 4*f - 12, 0 = -2*f + 2*b + b + 5. Let z = 0 - 0. Factor -2*l**4 + 1 + z*l**f + 2*l**2 + 2*l - 1 - 2*l**3.
-2*l*(l - 1)*(l + 1)**2
Let b(u) = -24*u**5 - 48*u**4 - 21*u**3 + 3*u**2. Let d(y) = 12*y**5 + 24*y**4 + 10*y**3 - 2*y**2. Let t(v) = -5*b(v) - 9*d(v). What is n in t(n) = 0?
-1, -1/2, 0
Suppose -s - 11 = -4*x, -2*s + 60 - 70 = -5*x. Let i be (-13)/(-6) + 4/(-2). Factor -i*n - 1/6*n**s + 1/3*n**3 + 1/6 - 1/3*n**2 + 1/6*n**4.
-(n - 1)**3*(n + 1)**2/6
Let v = 7 - 5. Let -k + 13*k - 35*k**2 + 12 + 38*k**v = 0. Calculate k.
-2
Factor 0 + 2/21*d**3 + 16/21*d**2 + 32/21*d.
2*d*(d + 4)**2/21
Let i(l) be the first derivative of 10 - 2/7*l**3 - 2/7*l**2 + 0*l - 1/14*l**4. Factor i(w).
-2*w*(w + 1)*(w + 2)/7
Let t(n) be the third derivative of n**9/35280 - n**7/5880 + 5*n**4/8 + 11*n**2. Let w(o) be the second derivative of t(o). Factor w(h).
3*h**2*(h - 1)*(h + 1)/7
Let p(m) be the first derivative of 3/2*m**2 - 2 + 0*m - 1/4*m**4 + 0*m**3 - 1/20*m**5. Let i(l) be the second derivative of p(l). Factor i(o).
-3*o*(o + 2)
Let f be (10/15)/(21/12 - -2). Let q = f - -1/45. Find s such that q*s**2 + 0 + 3/5*s = 0.
-3, 0
Let l(v) be the second derivative of 1/6*v**3 + 3/2*v**2 - 48*v + 0 - 1/4*v**4 - 1/20*v**5. Factor l(d).
-(d - 1)*(d + 1)*(d + 3)
Let m(z) be the first derivative of 529*z**6/33 + 19918*z**5/55 + 16771*z**4/22 + 11698*z**3/33 - 1424*z**2/11 + 136*z/11 - 374. Suppose m(p) = 0. What is p?
-17, -1, 2/23
Factor -5*m**2 + 4*m**4 - 36*m**3 - 22*m + m**2 + 8*m + 44*m**3 + 6*m.
4*m*(m - 1)*(m + 1)*(m + 2)
Let p(z) be the third derivative of z**7/1050 - z**6/300 - 2*z**5/75 + 3*z**4/20 - 3*z**3/10 + 68*z**2 - 1. Determine o so that p(o) = 0.
-3, 1, 3
Let o(f) be the first derivative of 3*f**4/20 - 9*f**3/5 - 3*f**2/10 + 27*f/5 + 605. What is a in o(a) = 0?
-1, 1, 9
Let 40*t**3 - 96*t**2 + 111*t**4 + 32 - 31*t**4 - 58*t**4 - 160*t = 0. What is t?
-2, 2/11, 2
Let s(a) be the third derivative of 9*a**2 + 0*a**4 - 1/30*a**5 + 0 + 4/3*a**3 + 0*a. Suppose s(x) = 0. What is x?
-2, 2
Find d such that 1/6*d**2 - d - 7/6 = 0.
-1, 7
Let i(f) be the third derivative of f**5/80 + f**4/8 + f**3/2 + 9*f**2 + 3. Solve i(o) = 0.
-2
Let k(s) = 2*s**4 + 11*s**3 + 13*s**2 - 11*s - 5. Let r(n) = n**4 + 10*n**3 + 11*n**2 - 10*n - 4. Let u(t) = 4*k(t) - 5*r(t). Suppose u(x) = 0. What is x?
-1, 0, 1, 2
Let y(j) be the second derivative of -7*j**6/1800 - j**5/300 + 14*j**3/3 - 28*j. Let o(h) be the second derivative of y(h). Solve o(d) = 0 for d.
-2/7, 0
Let h = -447/7 - -1809/28. Find l such that h*l + 0 - 1/8*l**4 + 11/8*l**2 + 1/2*l**3 = 0.
-1, 0, 6
Suppose -25 = -3*p + 665. Let y = p + -915/4. Solve 1/4*o**3 + 9/4 - y*o**2 + 3/4*o = 0 for o.
-1, 3
Let j = 50/123 + -304/1353. Factor 8/11*a - 8/11 - j*a**2.
-2*(a - 2)**2/11
Let y be (-4554)/(-42) + (3 - 2) - 0. Let u = y - 109. Determine i so that 3/7*i + 0 + u*i**2 = 0.
-1, 0
Let y(w) be the first derivative of -2*w**3/33 + 10*w**2/11 + 2*w - 98. Factor y(n).
-2*(n - 11)*(n + 1)/11
Let x(k) be the first derivative of -3*k**4/2 + 52*k**3/3 + 11*k**2 - 36*k - 304. Determine c, given that x(c) = 0.
-1, 2/3, 9
Let h(n) be the third derivative of 1/12*n**5 + 0 + 5/6*n**3 + 5/12*n**4 + 0*n + n**2. Factor h(w).
5*(w + 1)**2
Suppose -24 = -3*j - 0*j. Let x be (-4)/(-1*j/20). Factor -14*h**2 + 5*h**2 - h**4 + x*h**2.
-h**2*(h - 1)*(h + 1)
Let o(n) be the second derivative of 50/7*n**2 + 20/21*n**3 + 10*n + 0 + 1/21*n**4. What is c in o(c) = 0?
-5
Let s(g) be the first derivative of -2*g**3/9 + 9*g**2 - 4. Suppose s(k) = 0. Calculate k.
0, 27
Let b = -22111 + 110556/5. Determine y, given that -6/5*y**3 + y + 1/5*y**5 + 2/5*y**2 - 3/5 + b*y**4 = 0.
-3, -1, 1
Let l(u) be the first derivative of 10 + 3/2*u**6 + 9*u - 51/2*u**2 - 3/5*u**5 + 30*u**3 - 27/2*u**4. Solve l(s) = 0.
-3, 1/3, 1
Let v(g) = -g**2 + 2*g - 1. Let n(o) = o**3 - 8*o**2 + 9*o - 2. Let h(d) = -3*n(d) + 6*v(d). Solve h(k) = 0.
0, 1, 5
Suppose 0 = -6*m + 8*m - 4. Let i(l) be the second derivative of 0 + 1/120*l**6 + 1/48*l**4 + 0*l**m - 1/40*l**5 + 0*l**3 - 4*l. Factor i(z).
z**2*(z - 1)**2/4
Suppose -s - 2*s = 5*z + 23, 5*z - 3*s + 17 = 0. Let f = z + 8. Factor -2*l**2 + 0*l**4 - 2*l**f - l**4 + 8*l**2 + 3*l**3.
-3*l**2*(l - 2)*(l + 1)
Let l be (-98)/(2 + -4 - -1). Suppose -2 - 12*r**3 + 26*r**4 + 28*r + 52*r**2 - l*r**4 + 6 = 0. Calculate r.
-1/2, -1/3, 1
Suppose 19 = -4*v + 43. Let i be (4/4 - v/14)/2. Factor 0 - 2/7*r**4 - 2/7*r + 2/7*r**2 + i*r**3.
-2*r*(r - 1)**2*(r + 1)/7
Let i = 21 + -19. Factor -4*t**3 + 4 + 6*t**3 - 5*t**3 + 8 - 9*t**i.
-3*(t - 1)*(t + 2)**2
Let x(m) be the third derivative of -1/50*m**5 + 12*m**2 + 2/15*m**3 + 0 - 1/60*m**4 + 1/525*m**7 + 0*m + 1/300*m**6. Suppose x(s) = 0. Calculate s.
-2, -1, 1
Let x = 7367 - 22099/3. Factor -4/3*s + 0 - x*s**2.
-2*s*(s + 2)/3
Let y be 0*7/((-35)/(-5)). Let d(h) be the third derivative of 0 - 2/21*h**3 + y*h - 1/210*h**5 + h**2 - 1/28*h**4. Solve d(j) = 0.
-2, -1
Determine o, given that 16483 - 11094*o + 143*o**2 - 4*o**3 + 115*o**2 + 113274 + 29257 + 2*o**3 = 0.
43
Let a be 36/(-8)*26/(-39). Let q be (0 + -2 + 2)*-1. Determine o so that 0*o - 7/2*o**a + q + o**2 = 0.
0, 2/7
Let n(f) = 26*f**2 + 108*f + 103. Let o(z) = -23*z**2 - 109*z - 104. Let k(l) = 6*n(l) + 7*o(l). Factor k(y).
-5*(y + 1)*(y + 22)
Let z(g) = -2*g + 1. Let p be z(-1). Let k = p + 0. Factor 3*n**3 + 4*n - 5*n**3 - k*n**2 + n**2.
-2*n*(n - 1)*(n 