 7, 2*b - 3*o - 2 + 7 = 0. Let y be (81/30)/(b + 23/5). Determine s, given that 3/4*s**4 + 6*s + 9*s**2 + y*s**3 + 0 = 0.
-2, 0
Suppose 56*n = -312 + 32. Let d be (-7*(-84)/(-490))/(11/n). Find u, given that 6/11*u**2 - 36/11*u**3 + 36/11*u - d*u**4 + 0 = 0.
-6, -1, 0, 1
Let l(h) be the first derivative of h**6/4 - 3*h**5/8 - 417*h**4/32 + 551*h**3/8 - 1899*h**2/16 + 189*h/4 + 10079. Solve l(m) = 0.
-7, 1/4, 2, 3
Let w be ((-556)/834)/((-1)/3). Find j such that 8/3*j**w - 4/3*j**4 - 4/3*j - 4/3*j**5 + 8/3*j**3 - 4/3 = 0.
-1, 1
Let d = 17311/9 + -17285/9. Factor -d*q - 14/9*q**2 - 4/3 + 2/9*q**3 + 2/9*q**4.
2*(q - 3)*(q + 1)**2*(q + 2)/9
Suppose -4*h = 4*t - 48, -80 = -4*t - 0*t + 4*h. Suppose -142 + t = -7*g. Factor 507*q**2 - 78*q + 8 + 13 - g.
3*(13*q - 1)**2
Let u(n) = n**2 + 5*n - 48. Let l be u(5). Let 405*z + 4*z**2 - 169*z - 17328 - 13*z**l + 220*z + 6*z**2 = 0. Calculate z.
76
Let p(q) be the third derivative of -1/270*q**5 + 0 + 0*q + 50*q**2 - 1/36*q**4 + 4/27*q**3. Factor p(j).
-2*(j - 1)*(j + 4)/9
Let y = 35/381 - -1851/127. Suppose -2/3*x**2 - 26/3*x - y = 0. Calculate x.
-11, -2
Suppose 5*d = -23 + 33. Let x(i) be the first derivative of -8/3*i**3 - 4*i + 6*i**d + 2. Factor x(z).
-4*(z - 1)*(2*z - 1)
Suppose 5*y - 122 = 3*u, 43*u + 2*y + 115 = 40*u. Let p(s) = -6*s - 2 + 2 - 19*s**2. Let m(i) = -3*i**2 - i. Let d(c) = u*m(c) + 6*p(c). Solve d(q) = 0 for q.
-1, 0
Let n(l) be the third derivative of l**8/112 - 657*l**7/35 + 53956*l**6/5 + 657*l**5/10 - 431649*l**4/8 - 287*l**2 + 2. Suppose n(t) = 0. What is t?
-1, 0, 1, 657
Let r(z) be the third derivative of -37/33*z**5 - 6*z - 71/33*z**4 - 5/132*z**6 - 56/33*z**3 - 5*z**2 + 0. Factor r(y).
-2*(y + 14)*(5*y + 2)**2/11
Suppose 12 = 9*z - 24. Suppose o**4 + 18*o**4 - 48*o**2 + 20*o**z - 11*o**4 + 16*o - 36*o**3 = 0. Calculate o.
-1, 0, 2/7, 2
Let q(m) be the second derivative of -25*m**4/72 + 55*m**3/9 + 605*m**2/12 + 2133*m. Determine i so that q(i) = 0.
-11/5, 11
Suppose -96 = -4*h + 2*j, -3*j = 4*h - 46 - 30. Suppose -19*q**4 - 8*q**3 + 22*q**4 + 75*q**2 - h*q**3 = 0. Calculate q.
0, 5
Let w(h) be the first derivative of h**4/8 + 41*h**3/6 + 79*h**2/4 + 39*h/2 + 550. Find g, given that w(g) = 0.
-39, -1
Let m(b) be the third derivative of -13*b**6/540 + 7*b**5/270 + b**4/18 - 2716*b**2. Find y, given that m(y) = 0.
-6/13, 0, 1
What is y in 6*y - 32*y**2 + 13*y + 30*y - 24 + 4*y**3 + 14*y - 11*y = 0?
1, 6
Let v(k) = k**2 + 10*k + 31. Let j be v(-9). Suppose 0 = 3*z + 2*z - 4*r - j, 3*r + 7 = -z. Factor 0 + 8/5*y - 2/5*y**z.
-2*y*(y - 4)/5
Let s(x) be the second derivative of -x**5/110 + 4*x**4/11 - 5*x**3 + 22*x**2 + 931*x. Solve s(u) = 0 for u.
2, 11
Let m be 63*((-26676)/(-728) - 36). Suppose m*r**2 + 0 - 27/2*r**3 - 81/2*r + 3/2*r**4 = 0. Calculate r.
0, 3
Let c(v) = 2*v**2 + 3*v - 1. Let q(h) = -15*h**2 - 288*h - 261. Let r(u) = -6*c(u) - q(u). Solve r(l) = 0 for l.
-89, -1
Let l(z) be the second derivative of 72*z + 2/3*z**3 + 0 + 0*z**2 - 1/2*z**4 + 1/10*z**5. Factor l(p).
2*p*(p - 2)*(p - 1)
Let g = 12 - 17. Let n be (-2 - g)*20/15. Let 38*l**n + 4*l**5 + 60*l**2 - 11*l**3 - 10*l**4 + 71*l**3 - 24*l**2 = 0. Calculate l.
-3, -1, 0
Let j(c) = -3*c**2 - 39*c - 88. Let h be j(-10). Suppose 17*w - 5 = 22*w + x, w = -5*x - 25. Factor 0*i + 4/9*i**4 + 2/9*i**h - 2/3*i**3 + w.
2*i**2*(i - 1)*(2*i - 1)/9
Let y be -27 + (30 - (-6)/36*18). Factor 1/4*z**2 - 25/4*z + y.
(z - 24)*(z - 1)/4
Let f = -56361 + 56364. Factor -1/3*p**f + 5/3*p**2 - p - 3.
-(p - 3)**2*(p + 1)/3
Let t(h) be the third derivative of 13 + 1/240*h**5 - 3/32*h**4 - 11/12*h**3 + 0*h + 2*h**2. Find s such that t(s) = 0.
-2, 11
Let m(g) be the first derivative of -2*g**3/9 - 3*g**2 + 140*g/3 + 827. Factor m(u).
-2*(u - 5)*(u + 14)/3
Suppose 6*g - 144 = -8*c + 10*g, c + g - 12 = 0. Let w be 216/728 - c/104. What is i in -1/7*i**4 + 0*i**3 + w*i**2 + 0*i + 0 = 0?
-1, 0, 1
Let j(z) be the third derivative of 1/735*z**7 + 13*z**2 - 1/21*z**3 + 1/42*z**4 + 0*z - 1/210*z**6 + 0 + 0*z**5. Factor j(h).
2*(h - 1)**3*(h + 1)/7
Let k(a) be the first derivative of -2*a**3/21 + 2*a**2 + 42*a - 729. Factor k(o).
-2*(o - 21)*(o + 7)/7
Let v(x) be the first derivative of 5618*x + 283 + 2915*x**2 + 1/2*x**4 + 214/3*x**3. Determine d so that v(d) = 0.
-53, -1
Let -770/9*l - 28*l**3 + 38/9*l**4 + 98/3 + 692/9*l**2 - 2/9*l**5 = 0. What is l?
1, 3, 7
Let l be (5/(-20))/1*-20. Let q(b) be the third derivative of 2*b**3 - 7/8*b**4 + 1/40*b**6 + 6*b**2 + 0 + 0*b + 1/10*b**l. Factor q(t).
3*(t - 1)**2*(t + 4)
Let r(x) be the first derivative of 21 + 9*x - 1/3*x**4 + 0*x**2 + 2/3*x**3 + 1/20*x**5. Let q(m) be the first derivative of r(m). Factor q(b).
b*(b - 2)**2
Suppose 43/2*x**2 - 44 + 1/2*x**3 - 23*x = 0. What is x?
-44, -1, 2
Let c(h) be the second derivative of -h**5/90 - 2*h**4/3 - 7*h**3 - 30*h**2 + 55*h - 6. Factor c(u).
-2*(u + 3)**2*(u + 30)/9
Let p(a) be the first derivative of 2*a**3/9 + 20*a**2/3 + 38*a/3 + 596. Determine v so that p(v) = 0.
-19, -1
Let f be (2*1)/((-12)/18). Let g(q) = -2*q**2 - 10*q - 2. Let y be g(f). What is x in y*x**3 - 75*x**4 + 2*x**3 - 5*x**2 + 14*x**3 + 14*x**3 = 0?
0, 1/5, 1/3
Suppose 59*x - 424 = -29*x - 124*x. What is z in 1/11*z + 0 - 1/11*z**4 + 1/11*z**x - 1/11*z**3 = 0?
-1, 0, 1
Let a be ((-73)/(-803))/((-3)/(-11)). Factor 0 - 4/3*m**2 + a*m**5 - m**3 + 2/3*m**4 + 4/3*m.
m*(m - 1)**2*(m + 2)**2/3
Suppose 5*f = q + 3*f - 356, 0 = -4*q + 3*f + 1419. Let s = q + -354. Solve s + 2/5*b**4 - 2/5*b**2 - 2/5*b + 2/5*b**3 = 0.
-1, 0, 1
Let z(k) be the third derivative of -3/20*k**5 + 15*k**2 - 4 + 0*k - 1/210*k**7 + 1/20*k**6 + 0*k**3 + 1/6*k**4. Factor z(q).
-q*(q - 4)*(q - 1)**2
Let f(l) be the third derivative of -2*l**2 + 5*l + 1/16*l**4 + 1/10*l**5 - l**3 - 1/80*l**6 + 0. Let f(p) = 0. What is p?
-1, 1, 4
Let k(d) be the first derivative of 40 + 1/6*d**3 - 9/20*d**5 - 1/4*d + 3/4*d**4 - 1/2*d**2. Find i such that k(i) = 0.
-1/3, 1
Let 423 + 438 + 4*k**3 - 12*k**2 - 845 = 0. What is k?
-1, 2
Let n(i) be the third derivative of -1/6*i**6 + 0*i**3 + 0*i**5 + 0*i**4 - 5/336*i**8 + 0*i + 2/21*i**7 + 2 + 34*i**2. Factor n(q).
-5*q**3*(q - 2)**2
Let r = -3072 + 3073. Let v(t) be the first derivative of -4/7*t**3 + 12/7*t + 45/14*t**2 - r. Factor v(b).
-3*(b - 4)*(4*b + 1)/7
Suppose 0 = -2*u - 0*u + 11*u - 27. Let p be (-14)/(-6) + (6 - 13 - -5). Suppose p*x**2 + 0*x + 1/3*x**u + 0 = 0. What is x?
-1, 0
Suppose 0 = 10*s - 7*s + 42. Let m = s + 19. Factor 8*k**4 + 35*k**5 - 13*k**m - 4*k - 8*k**2 - 18*k**5.
4*k*(k - 1)*(k + 1)**3
Let p be (1 + 0)/(15/45). What is r in 53*r**4 + 519*r**3 + 294 + 9*r**5 - 185*r**4 - p*r**3 - 162*r**2 - 525*r = 0?
-1, 2/3, 1, 7
Let i be 9/24 - 42/1008. Let r(k) be the first derivative of 1/5*k**5 - 25 - 2/9*k**3 - 2/3*k**2 - 1/3*k + i*k**4. Factor r(n).
(n - 1)*(n + 1)**2*(3*n + 1)/3
Factor -2/9*k**2 - 32 + 16/3*k.
-2*(k - 12)**2/9
Solve -825*a**4 + 139*a**5 + 69696*a**3 - 231*a**4 - 277*a**5 + 142*a**5 = 0.
0, 132
Let q(j) be the second derivative of -j**5/50 - 133*j**4/30 - 76*j**3/3 + 260*j**2 + 850*j. Factor q(p).
-2*(p - 2)*(p + 5)*(p + 130)/5
Let v = -647 - -649. Let s(b) be the second derivative of 0 - 9*b + 1/15*b**6 + b**v - 1/3*b**3 - 1/3*b**4 - 1/21*b**7 + 1/5*b**5. Let s(k) = 0. Calculate k.
-1, 1
Let s(y) be the second derivative of -11*y - 1/25*y**6 - 3/5*y**2 + 1/5*y**4 + 4 + 9/10*y**3 + 9/70*y**7 - 27/50*y**5. Let s(v) = 0. What is v?
-1, 2/9, 1
Let s(g) = 8*g - 45. Let f be s(6). Suppose 23*b**f + 19*b**5 + 6*b**2 + b**5 + 32*b**3 + 95*b**4 - 26*b**2 = 0. What is b?
-4, -1, 0, 1/4
Let k = -122 + 124. Factor 5*q**k - 4*q**2 - 29 + 40 + 12*q.
(q + 1)*(q + 11)
Let s be (21/2)/(((-81)/18)/(-9)). Let h(z) be the second derivative of -1/150*z**5 + s*z + 8/15*z**2 + 0 + 4/45*z**3 - 1/45*z**4. Find y such that h(y) = 0.
-2, 2
Let l(k) = 54*k - 48*k**2 + 67 + 132*k - 310. Let f(a) = -a**3 + 47*a**2 - 187*a + 243. Let u(b) = 3*f(b) + 2*l(b). Suppose u(r) = 0. Calculate r.
3, 9
Suppose -3117*f = -3173*f + 224. Suppose 3/4*n**f - 3/4*n**3 + 39/4*n - 21/4*n**2 - 9/2 = 0. What is n?
-3, 1, 2
Suppose -2*w = -h, 207*h = -5*w + 210*h. Let d(y) be the first derivative of w*y - 1/12*y**3 + 19 + 1/4*y**2. Factor d(i).
-i*(i - 2)/4
Let w(f) = 340*f + 17. Let z be w(1). Let a be 