-2/7, 1, 3
Let d be 10*(-3536)/(-51) - (-2)/3. Let p = 696 - d. Let -2/3 + 2/3*z**4 + 1/3*z - 7/3*z**3 + p*z**2 = 0. What is z?
-1/2, 1, 2
Let s be (-16)/(-4) + -5 - (-11 + -2). Suppose -3 = 3*n - s. Factor 5*i**5 + 5*i - 10*i**3 + 20*i**3 - 20*i**n.
5*i*(i - 1)**2*(i + 1)**2
Let m be (-442)/(-780) - -3*6/(-45). Let y(j) be the third derivative of 1/3*j**3 + 1/30*j**5 - m*j**4 + 0 + 0*j - 13*j**2. Factor y(g).
2*(g - 1)**2
Let z be (-1266)/15*-5 - 5. Let l = z - 415. What is j in 2/3*j**l + 4/3 + 2*j = 0?
-2, -1
Let i be ((-114)/18)/(950/(-450)). Solve 3/4*q**i + 5/4*q**2 + 1/2*q + 0 = 0 for q.
-1, -2/3, 0
Let y(w) = 37*w**2 + 3483*w + 3492. Let l(g) = 94*g**2 + 6966*g + 6987. Let f(r) = 2*l(r) - 5*y(r). Factor f(d).
3*(d - 1162)*(d + 1)
Let s(k) be the third derivative of 0*k + 341/12*k**4 + 1/20*k**6 + 0 - 13/6*k**5 + 121/3*k**3 - 5*k**2. Factor s(h).
2*(h - 11)**2*(3*h + 1)
Let o(i) be the third derivative of 65/3*i**4 + 128*i**2 + 6760/3*i**3 + 0 + 0*i + 1/12*i**5. Solve o(a) = 0 for a.
-52
Suppose 182 = 2*u + 146. Factor -u + 5*g**3 - 11 + 29.
5*g**3
Factor -1/4*i**4 - 45/4*i**3 - 42*i**2 - 41*i + 0.
-i*(i + 2)**2*(i + 41)/4
Let b(g) be the second derivative of -g**6/40 - 23*g**5/40 + 35*g**4/12 - 3*g**3 + 1121*g. Suppose b(k) = 0. Calculate k.
-18, 0, 2/3, 2
Let x(j) = j**5 + 2*j**4 + j**3 + 2*j + 1. Let y(p) = 55*p**3 + 7 + 14*p + 134*p**2 + 8*p**4 - 15 - p**5 + 78 + 138*p. Let z(t) = -6*x(t) - 3*y(t). Factor z(h).
-3*(h + 2)**3*(h + 3)**2
Let b(w) = 549*w - 1662. Let y(o) = -o**2 - 1647*o + 4990. Let u(d) = -8*b(d) - 3*y(d). Factor u(g).
3*(g - 3)*(g + 186)
Let b = 2019/422 - 693/211. Find o such that 0 - 3*o**2 + 9/2*o - b*o**3 = 0.
-3, 0, 1
Let d = -639356/187 + 3419. Let u = 6183/748 + d. Factor u*r**2 + 5 + 9/4*r**3 - 14*r.
(r + 5)*(3*r - 2)**2/4
Suppose 12 = -4*h, -4*q - 5*h + 84 = 19. Let j be 60/q + 148/(-26) + 3. Factor j + 22/13*y + 18/13*y**2.
2*(y + 1)*(9*y + 2)/13
Let o(h) be the third derivative of 23*h**7/420 + 323*h**6/240 + 171*h**5/20 + 241*h**4/12 + 10*h**3/3 + 29*h**2 - 95. Determine w so that o(w) = 0.
-10, -2, -1/23
Factor 43/11*x - 1/11*x**5 - 38/11*x**2 + 6/11*x**3 - 15/11 + 5/11*x**4.
-(x - 5)*(x - 1)**3*(x + 3)/11
Let t(q) = -q - 1. Let n(s) be the first derivative of -s**3 + 75*s**2/2 + 18*s + 97. Let w(b) = n(b) + 18*t(b). Factor w(l).
-3*l*(l - 19)
Let b be -4 - (-30)/12 - (-6 + 9/2). Suppose 0 = -2*z + 12 - 6. Factor b*u + 0 + 2/17*u**4 + 4/17*u**2 - 6/17*u**z.
2*u**2*(u - 2)*(u - 1)/17
Let r(l) = 14*l**4 - 3*l**3 - 23*l**2 + 80*l - 53. Let q(m) = 8*m**4 - m**3 - 11*m**2 + 40*m - 27. Let b(n) = 10*q(n) - 6*r(n). Factor b(t).
-4*(t - 2)**2*(t - 1)*(t + 3)
Suppose -12*m - 596 = -16*m. Let v = m - 81. Factor -7*z**3 - 1500*z + 5000 + 159*z**2 + 2*z**3 - 77*z**2 + v*z**2.
-5*(z - 10)**3
Let n(q) be the first derivative of -q**5 + 45*q**4/2 - 415*q**3/3 + 165*q**2 + 61. Factor n(t).
-5*t*(t - 11)*(t - 6)*(t - 1)
Let k be -9*(-14)/(-252)*-1*34. Suppose -d - 3*w + 15 = 0, -3*d + 10*w = 12*w - k. Find g, given that d*g - 3*g**2 + 3/4*g**3 + 0 = 0.
0, 2
Let r = -13952/5 - -251141/90. Let z(p) be the first derivative of -r*p**4 + 10/9*p + p**2 + 2/9*p**3 + 20. Let z(v) = 0. What is v?
-1, 5
Let f(h) be the first derivative of h**6/2 + 27*h**5/5 + 57*h**4/4 + 3*h**3 - 30*h**2 - 36*h - 1286. Solve f(v) = 0 for v.
-6, -2, -1, 1
Let 0*g**3 + 40/3*g - 14*g**2 + 2/3*g**4 + 0 = 0. Calculate g.
-5, 0, 1, 4
Let t = 52/19 - 217/114. Let q(r) be the first derivative of 10*r**4 - 40*r**2 + 0*r + 0*r**3 + 0*r**5 - t*r**6 - 6. Find a such that q(a) = 0.
-2, 0, 2
Find f, given that -1/2*f**2 - 519/2 + 88*f = 0.
3, 173
Suppose 3*x - 33 = 3*n, 0 = -2*n + 1515*x - 1517*x + 22. Factor -2/9*a**4 + 2/9*a**2 + 0*a + 2/9*a**5 - 2/9*a**3 + n.
2*a**2*(a - 1)**2*(a + 1)/9
Let v = 6422/163 - 32827/978. Factor -v*c + 5/2*c**3 + 5/6*c**4 + 5 - 5/2*c**2.
5*(c - 1)**2*(c + 2)*(c + 3)/6
Let o(y) = y**3 + 18*y**2 + 35*y + 53. Let z be o(-16). Suppose -4*j - 10 = z*k, 5*k - 7 = 4*k + j. Let -9/5*r - 3/5*r**k - 6/5 = 0. What is r?
-2, -1
Let y = -10097/580 - -87/5. Let f = y + 701/580. Factor 0 - 4/5*b**2 - f*b + 2/5*b**3.
2*b*(b - 3)*(b + 1)/5
Find u, given that -2/9*u**3 - 610/9*u + 0 + 44/3*u**2 = 0.
0, 5, 61
Let p = 790586 - 790583. Suppose -63/4*i**p + 90*i**2 - 75*i + 0 + 3/4*i**4 = 0. Calculate i.
0, 1, 10
Let s = -21845/4 - -5465. Let i = 1/65 - -583/130. What is m in -s - 3/4*m**2 - i*m = 0?
-5, -1
Suppose 2*z = 3 - 1, z + 1 = h. Suppose h*u = 3*g - 5, -2*g + 0*g = -3*u. Let -4*n**2 + 0*n**u + 8 + 4 + 8*n = 0. Calculate n.
-1, 3
Let y(g) = 7*g - 13. Let c be y(4). Factor 576 - 16*j**2 - 85*j - c*j - 600.
-4*(j + 6)*(4*j + 1)
Let z(l) be the second derivative of -l**6/50 + 219*l**5/100 + 177*l**4/4 + 3231*l**3/10 + 1134*l**2 - 6218*l - 2. Let z(g) = 0. Calculate g.
-5, -3, 84
Let y(o) be the third derivative of o**7/140 - o**6/8 + o**5/5 + 4*o**4 - 3*o**2 - 725*o. Suppose y(t) = 0. Calculate t.
-2, 0, 4, 8
Factor -32 + 278 + 53*x + x**2 - 6.
(x + 5)*(x + 48)
Let i(m) = m**4 + 15*m**3 + m**2 + 2*m - 1. Let h(y) = -5*y**4 + 388*y**3 + 100*y**2 - 2*y + 1. Let s(k) = 5*h(k) + 5*i(k). Find u, given that s(u) = 0.
-1/4, 0, 101
Let i(g) be the second derivative of -g**9/10080 - g**8/2240 + g**7/1680 + g**6/240 + 39*g**4/4 + 79*g. Let m(f) be the third derivative of i(f). Factor m(z).
-3*z*(z - 1)*(z + 1)*(z + 2)/2
Let b(d) = 10*d**2 - 925*d + 920. Let n(t) = 9*t**2 - 926*t + 921. Let v(w) = -4*b(w) + 5*n(w). Let v(z) = 0. What is z?
1, 185
Solve 6*d**2 + 486/7 - 306/7*d + 2/7*d**3 = 0.
-27, 3
Let a(y) = y**3 - 8*y**2 - 15*y + 56. Let s be a(9). Determine o, given that 152*o - 18*o**3 - 120*o + 9*o**2 - 2*o**s + 5*o**2 + 2*o**4 = 0.
-1, 0, 2, 8
Let b(j) = 30*j - 237. Let i be b(8). Let 3881*l**i + 0*l - 2*l**5 - 3879*l**3 + 0*l = 0. Calculate l.
-1, 0, 1
Let a be (4/((-80)/(-15)))/(11 - 2691/252). Find j such that 5*j**2 - a*j - 3*j**3 + 1/3*j**4 + 0 = 0.
0, 1, 7
Let v(j) = -9255*j**3 - 16990*j**2 - 9365*j - 1615. Let w(b) = 18508*b**3 + 33979*b**2 + 18729*b + 3231. Let r(n) = 9*v(n) + 5*w(n). Find u such that r(u) = 0.
-1, -18/43
Determine a so that -49*a - 83*a - 7*a**3 + 50*a**2 + 10*a**3 - 84*a**2 - 5*a**3 = 0.
-11, -6, 0
Factor 4/7*j + 1/7*j**2 + 3/7.
(j + 1)*(j + 3)/7
Let y(n) be the second derivative of n**5/5 + n**4 + 2*n**3 + 2*n**2 + 5*n - 179. Factor y(o).
4*(o + 1)**3
Let g(z) be the third derivative of z**8/168 - 17*z**7/105 - 29*z**6/30 - 4*z**5/3 + 3*z**2 + 71*z. Suppose g(n) = 0. Calculate n.
-2, -1, 0, 20
Let b(i) = i**3 + 7*i**2 - 4*i - 9*i**2 - 9 - 10*i**2 - 8*i. Let c be b(13). Solve 11*u**2 + 6*u**3 + 4*u**2 - 6*u - 13*u**2 + 2*u**c - 4 = 0 for u.
-2, -1, 1
Let z(o) = o**3 - o**2. Let l(g) = 9*g**3 + 2*g**2 - 13*g - 22. Let r(q) = l(q) - 8*z(q). Factor r(m).
(m - 2)*(m + 1)*(m + 11)
Let s be ((-360)/450)/(3 - 74/10). Determine v so that -6/11 - 2/11*v**2 + 10/11*v - s*v**3 = 0.
-3, 1
Factor -3132234*g**3 - 161568*g - 1529599*g**3 - 184999*g**2 + 13935742*g**4 - 751538*g**2 - 6647277*g**3 - 1525071*g**2 - 3456.
2*(g - 1)*(191*g + 12)**3
Factor g**3 + 140 + 60*g - 75*g**2 + 66*g**3 - 72*g**3 + 10*g**3.
5*(g - 14)*(g - 2)*(g + 1)
Suppose -3*r + 14 = -q, -847*q + 845*q - 2*r = -44. Let b(v) be the second derivative of 0 + 1/16*v**4 + 5/2*v**3 + 75/2*v**2 + q*v. Factor b(g).
3*(g + 10)**2/4
Let i(y) be the third derivative of 65/24*y**4 - 10*y**3 - 1/12*y**5 - 5*y**2 + 2 + 0*y. Factor i(a).
-5*(a - 12)*(a - 1)
Suppose -11 = -14*h + 59. Factor -6*u**2 - 5*u + 12*u**2 - 8*u**4 + u**h + 4*u**3 + 2*u**4.
u*(u - 5)*(u - 1)**2*(u + 1)
Factor 916/9*j - 1/9*j**2 - 209764/9.
-(j - 458)**2/9
Let d(h) = -13*h**2 + 9*h + 4. Let a(j) be the first derivative of -6 - 17/2*j**2 + 26/3*j**3 - 9*j. Let x(u) = 6*a(u) + 13*d(u). Factor x(v).
-(v - 1)*(13*v - 2)
Suppose -18*f = 12*f + 6*f - 216. Let i(a) be the second derivative of 1/3*a**5 + 2/9*a**4 + 0*a**3 + 25*a + 2/15*a**f + 0 + 0*a**2. Factor i(k).
4*k**2*(k + 1)*(3*k + 2)/3
Let x(s) be the second derivative of s**7/70 - 11*s**6/25 + 57*s**5/25 - 18*s**4/5 + 162*s. Factor x(o).
3*o**2*(o - 18)*(o - 2)**2/5
Let f = 197920/231021 - -14/33003. Factor c**3 - f - 1/7*c**4 + 17/7*c - 17/7*c**2.
-(c - 3)*(c - 2)*(c - 1)**2/7
Let a(k) = k - 17. Let f be a(17). Suppose 2*z + 10 = 3*u, -5*u - z - 4*z = f