w(g).
-4*(g - 156)*(11*g + 2)/5
Let o(f) = -5*f**4 - 1210*f**3 - 97204*f**2 - 2558792*f + 2657205. Let h(u) = 2*u**2 + u. Let z(m) = -2*h(m) - o(m). Let z(k) = 0. Calculate k.
-81, 1
Let k be 2 - 5 - (1 - (-1 + 7)). Factor 2 + s + 12*s**3 + 2*s**4 + 12*s**k - 20*s**3 + 2*s - 11*s.
2*(s - 1)**4
Factor -2*j**3 + 183*j**2 + 56156*j + 196 + 9*j**2 - 55766*j.
-2*(j - 98)*(j + 1)**2
Let 192 - 1/6*h**3 + 253/2*h + 61/3*h**2 = 0. What is h?
-3, 128
Let w be 132/(-88)*32/6 - -1. Let l be (2 - 60/33)*(-6 - w). Determine d, given that 3/11*d**2 + 1/11*d - 1/11*d**4 - l - 1/11*d**3 = 0.
-2, -1, 1
Suppose 0 + 282/5*n**2 - 14/5*n**5 + 2254/5*n**3 + 1958/5*n**4 + 0*n = 0. What is n?
-1, -1/7, 0, 141
Let f be 16 + 1455/(-90) - (-9)/54. Suppose 9/2*r - 6*r**2 + 13/8*r**3 - 1/8*r**4 + f = 0. What is r?
0, 1, 6
Find f such that 1 + 1/3*f**2 + 4/3*f = 0.
-3, -1
Let h = 36 + -19. Let x = 22 - h. Determine l so that -11*l**5 + 12*l**3 - 18*l**5 - 10*l**4 + 25*l**x + 2*l**4 = 0.
-3, 0, 1
Factor -124/17*j - 118/17*j**2 + 240/17 + 2/17*j**3.
2*(j - 60)*(j - 1)*(j + 2)/17
Let r(d) = -d**5 + 10*d**4 + 3*d**3 + 8*d**2 - 2*d - 9. Let u(x) = -x**4 - x**2 + 1. Let c(o) = -2*r(o) - 18*u(o). Determine s, given that c(s) = 0.
-1, 0, 1, 2
Let v be (16/(-12))/(4/(-738)). Factor -80*u + 4*u**2 - 124 + 278 + v.
4*(u - 10)**2
Let s be (2/7)/(50*(-18)/(-6300)). Factor -3 + 18/5*u - 3/5*u**s.
-3*(u - 5)*(u - 1)/5
Let x(z) be the third derivative of z**6/180 + 113*z**5/90 + 37*z**4/6 - 71*z**2 + 27. Factor x(j).
2*j*(j + 2)*(j + 111)/3
What is d in 321/2*d - 3/2*d**2 + 495 = 0?
-3, 110
Solve -4*h**3 + 4 - 24*h**4 - 26*h + 19*h**4 - 126*h**2 + 26*h**3 - 158*h**3 - 35*h**4 = 0.
-2, -1, -1/2, 1/10
Suppose 20 = 7*m - 3*m. Let a(u) = 29*u - 9. Let w be a(m). Find x such that w - 92 + 10*x - 84 + 5*x**2 = 0.
-4, 2
Suppose 66 - 3/7*r**3 - 375/7*r - 12*r**2 = 0. Calculate r.
-22, -7, 1
Let -1021*q**2 + 98*q**3 - 3046*q + 1950*q + 1193*q**2 - 164 + 788 + 6*q**4 = 0. What is q?
-13, -6, 2/3, 2
Factor -1539*p + 1513*p + p**2 - 1414 + 1439*p.
(p - 1)*(p + 1414)
Let h be 4/(-18) - (-66)/297. Let i(s) be the second derivative of 8*s + 16/3*s**3 - 32*s**2 + 1/5*s**5 + 7/3*s**4 + h. Factor i(p).
4*(p - 1)*(p + 4)**2
Let d = 96 - 35. Let m be d/2 + 1/(-2). Factor -m*r - 3*r**3 + 7 - 19 - 2 - 18*r**2 + r**3.
-2*(r + 1)**2*(r + 7)
Let v be -3 + 38/14 - (-720)/168. Suppose 0 = v*c + p - 15, 3*p - 5*p = -6. Suppose -5/4*h**2 + 0 + 0*h - 1/4*h**c = 0. Calculate h.
-5, 0
Let h(a) be the third derivative of -a**5/60 + 35*a**4/6 - 139*a**3/6 - 8*a**2 - 2*a - 81. Factor h(l).
-(l - 139)*(l - 1)
Let q(d) be the first derivative of -d**7/21 + 3*d**5/10 + d**4/3 - d + 3. Let f(w) be the first derivative of q(w). Solve f(s) = 0 for s.
-1, 0, 2
Let s(z) be the third derivative of z**6/80 + 59*z**5/90 - 191*z**4/144 - 3*z**3/2 + 1519*z**2. Let s(a) = 0. Calculate a.
-27, -2/9, 1
Let m(j) = j**3 + 78*j**2 + 1508*j + 2401. Let b be m(-47). Factor 2/5*s**2 - b*s**3 - 12/5*s**4 - 1/5*s**5 + 2 + 21/5*s.
-(s - 1)*(s + 1)**3*(s + 10)/5
Let j(n) = -9*n**2 - 26*n + 76. Let z(h) = -35*h**2 - 105*h + 305. Let v = 202 - 198. Let x(k) = v*z(k) - 15*j(k). Determine d so that x(d) = 0.
-8, 2
Let k(n) be the first derivative of 8*n**2 + 0*n**4 - 9 + 1/270*n**5 + 0*n + 0*n**3 + 1/540*n**6. Let w(c) be the second derivative of k(c). Factor w(p).
2*p**2*(p + 1)/9
Let w(x) be the first derivative of x**3 - 3279*x**2/2 - 3282*x + 3566. Factor w(l).
3*(l - 1094)*(l + 1)
Suppose -74*g = 326*g - 1600. Let o(d) be the first derivative of 4*d**3 - 8*d**2 - 16*d - 8 + g*d**4 + 4/5*d**5. Solve o(k) = 0.
-2, -1, 1
Let v = -1442256 + 1442258. Determine p so that -26/7*p - 4/7*p**v + 2/7*p**3 - 20/7 = 0.
-2, -1, 5
Let p(g) be the first derivative of 4*g**3/3 - 1876*g**2 + 3748*g - 524. Find y, given that p(y) = 0.
1, 937
Let t = 630367 + -3151829/5. Solve 218/5*b + 72/5 + t*b**2 = 0.
-36, -1/3
Let d(r) be the first derivative of -r**6/48 + 47*r**5/40 - 89*r**4/32 - 47*r**3/24 + 45*r**2/8 - 1946. Find v such that d(v) = 0.
-1, 0, 1, 2, 45
Let c(i) be the second derivative of 2*i**6/15 + 57*i**5/5 + 280*i**4 + 1568*i**3/3 - 20*i + 9. Let c(o) = 0. Calculate o.
-28, -1, 0
Let i(l) be the second derivative of -10/7*l**2 - 1 - 1/42*l**4 - 29*l - 1/3*l**3. Let i(b) = 0. What is b?
-5, -2
Let z(c) be the second derivative of -c**5/10 - 110*c**4/3 + 221*c**3/3 - 21*c - 50. Factor z(m).
-2*m*(m - 1)*(m + 221)
Let v = 1616 - 1512. Suppose v = 6*l + 92. Factor 4/3*y**3 + 4/3*y**2 - 2*y + 2/3*y**5 + 2/3 - l*y**4.
2*(y - 1)**4*(y + 1)/3
Let u(w) be the first derivative of -w**7/28 - w**6/20 + 3*w**5/20 + 12*w + 50. Let l(v) be the first derivative of u(v). Factor l(a).
-3*a**3*(a - 1)*(a + 2)/2
Suppose 20 = -598*t + 602*t. Factor 7*y**3 + 5*y**4 - 8*y - 4 - y**2 - 21*y**5 - 31*y**5 - 18*y**t + 71*y**5.
(y - 1)*(y + 1)**2*(y + 2)**2
Let c(m) be the first derivative of -2*m**3/3 + 24*m**2 - 270*m - 2224. Solve c(i) = 0 for i.
9, 15
Factor 336/11 - 2/11*n**3 - 170/11*n**2 - 164/11*n.
-2*(n - 1)*(n + 2)*(n + 84)/11
Let f(d) be the third derivative of d**8/1512 + 22*d**7/945 + 113*d**6/540 + 52*d**5/135 - 20*d**4/9 + 2*d**2 - 504. Determine n, given that f(n) = 0.
-15, -4, 0, 1
Let u(v) be the first derivative of 37 - 3/2*v**2 - 7/2*v + 1/6*v**3. Let u(l) = 0. What is l?
-1, 7
Let l(v) be the first derivative of -17/5*v**3 + 312/5*v**2 + 1/20*v**4 + 676/5*v + 63. Factor l(f).
(f - 26)**2*(f + 1)/5
Let l(x) be the second derivative of -3*x**5/20 + 23*x**4/4 + 25*x**3 - 39*x + 15. Factor l(d).
-3*d*(d - 25)*(d + 2)
Let z(y) = -y - 67. Let t(p) = 135. Let c(d) = 2*t(d) + 5*z(d). Let l be c(-13). Suppose l + 2/11*o**3 - 12/11*o**2 + 18/11*o = 0. Calculate o.
0, 3
Suppose 0 = x + x - 6. Let t be 130/390 - ((-4)/(-3) - 1). Determine v so that -6/7*v**4 + t + 0*v + 4/7*v**x + 2/7*v**2 = 0.
-1/3, 0, 1
Let f be ((-10 - 1) + 5)*(-4 - -3)*(-6)/(-18). Solve -40/7*b**f - 184/7*b - 192/7 + 2/7*b**3 = 0 for b.
-2, 24
Factor -1469 - 11154*j**2 - 11158*j - 908 + 2*j**4 - 1162 - 3714*j**3 - 181.
2*(j - 1860)*(j + 1)**3
Let n = 25661 - 25656. Determine j so that 23/6*j**3 - 8/3 + 4*j**2 - 4/3*j**4 - 1/2*j**n - 10/3*j = 0.
-4, -1, -2/3, 1, 2
Let c = 567 - 563. Suppose -140*u**3 + 144*u + 252*u**2 - 128 - 56*u**2 - 116*u**2 - c*u**5 + 48*u**4 = 0. What is u?
-1, 1, 2, 8
Let g(r) be the first derivative of -4*r**3/3 - 20*r**2 - 84*r + 1289. Let g(c) = 0. What is c?
-7, -3
Let l(i) be the second derivative of -i**7/21 - 13*i**6/15 - 19*i**5/5 - 7*i**4/3 + 13*i**3 + 27*i**2 - 2409*i. Let l(r) = 0. Calculate r.
-9, -3, -1, 1
Let z(v) = -3*v**3 - 6*v**2 + 21*v - 12. Let a = -18 + 9. Let l(i) = i**2 - i. Let t = -1051 + 1050. Let n(d) = a*l(d) + t*z(d). Find k such that n(k) = 0.
-2, 1, 2
Let v be 8435/(-42) + -3 - (-2)/(-12). Let s be v/54 + 52/13. Factor s - 1/3*g + 0*g**2 + 1/9*g**3.
(g - 1)**2*(g + 2)/9
Let q(s) be the third derivative of -s**8/504 - 2*s**7/315 + s**6/45 + 4*s**5/45 + 645*s**2 - 1. Factor q(j).
-2*j**2*(j - 2)*(j + 2)**2/3
Factor -74/3*v + 1/6*v**4 - 38/3 - 29/2*v**2 - 7/3*v**3.
(v - 19)*(v + 1)*(v + 2)**2/6
Factor -2439/2*p - 609/2 - 1224*p**2 - 6*p**3.
-3*(p + 203)*(2*p + 1)**2/2
Suppose -365/4*s + 1/4*s**2 - 183/2 = 0. Calculate s.
-1, 366
Find q, given that 15*q + 14*q - 5*q**2 - 39*q + 5*q**3 = 0.
-1, 0, 2
Let o(g) = -2*g + 14. Let c be o(5). Suppose -10 = -c*y + 10. Find l such that -16*l**2 + 5*l**4 + l**2 + 5*l + 1 + 8 - y*l**3 + 1 = 0.
-1, 1, 2
Let h be (49/(-245))/(1/(-5))*9. Let d be (6/21)/((-1)/(-126)*h). Determine z so that 9/2*z**3 + 3/4 + 11/2*z**2 + 1/4*z**5 + 13/4*z + 7/4*z**d = 0.
-3, -1
Suppose 55*u = -58*u + 339. Let c(h) be the second derivative of 0 + 9*h - h**2 + 1/12*h**4 + 1/6*h**u. Factor c(k).
(k - 1)*(k + 2)
Suppose 7*a - 10*a - 3*p + 42 = 0, 2*a + 4*p - 28 = 0. Suppose 3*h = 10*h - a. Factor -32 + 26*x**2 + 152*x - 15*x**h + 10*x**2 - 57*x**2.
-4*(x - 4)*(9*x - 2)
Let x = -7279/4 + 3647/2. Factor 1/4*v**4 + 9/4*v**3 + 0 + 7/4*v + x*v**2.
v*(v + 1)**2*(v + 7)/4
Let p = -3812/499 - -187861/3493. Suppose -361/7 + 1/7*t**3 + 37/7*t**2 + p*t = 0. What is t?
-19, 1
Let s = 7 - 3. Solve 104 + 56*c + 12*c - 125*c + 13*c - s*c**2 = 0 for c.
-13, 2
Let o(x) be the first derivative of 104/27*x**3 + 13/6*x**4 + 2/9*x**5 + 0*x + 81 - 4/3*x**2. Supp