*m(t). Factor z(d).
5*d*(d - 4)*(d - 1)
Let 0*u - 800/9*u**2 + 0 + 4/9*u**4 + 184/9*u**3 = 0. What is u?
-50, 0, 4
Let z(b) = 76*b**2 + 2292*b + 228. Let n(x) = 228*x**2 + 6875*x + 687. Let r(m) = -4*n(m) + 11*z(m). Let r(c) = 0. Calculate c.
-30, -2/19
Let b = 342718 - 1713564/5. Factor 4/15*m + b*m**3 - 82/15*m**2 + 0.
2*m*(m - 1)*(39*m - 2)/15
Suppose 529/2 - 34*z**2 + 1/4*z**5 + 263/2*z**3 - 1495/4*z + 23/2*z**4 = 0. What is z?
-23, -2, 1
Let x = -13783/102 + 815/6. Let d = 147/136 - x. Factor 0 + d*l**2 + 1/8*l**3 + 1/4*l.
l*(l + 1)*(l + 2)/8
Let h(x) = -33*x**2 - 75*x - 261. Let y(f) = 5*f**2 + 11*f + 38. Let t(c) = 4*h(c) + 27*y(c). Let t(n) = 0. What is n?
-2, 3
Let q be -1 - (-4)/(-4) - -1. Let i = q - -29. What is o in -14 + 116*o**2 + 16*o - 1 - 1 + 9*o**3 - 20*o**4 + 83*o**3 - i*o**5 = 0?
-1, 2/7, 2
Let b(p) be the third derivative of -243*p**6/40 - 4941*p**5/20 - 33489*p**4/8 - 226981*p**3/6 - 3878*p**2. Factor b(r).
-(9*r + 61)**3
Let z be -5 + (-3*38)/(-6). Suppose -4*f**3 - z*f**5 + 17*f**5 - f**3 + 2*f**5 = 0. Calculate f.
-1, 0, 1
Let o(n) be the first derivative of -n**3/12 - 9*n**2/8 - 7*n/2 - 2666. Find k such that o(k) = 0.
-7, -2
Let v = -123 - -128. Let s(y) = -38*y**2 - 5*y**3 + v*y**3 + 14*y**3. Let n(z) = 5*z**3 - 13*z**2. Let t(h) = 17*n(h) - 6*s(h). Find l, given that t(l) = 0.
-7, 0
Let d(a) be the second derivative of -a**4 - 1346*a**3/3 - 448*a**2 - 1510*a. Factor d(t).
-4*(t + 224)*(3*t + 1)
Let m(b) be the third derivative of -b**6/24 + 4843*b**5/12 - 3663275*b**4/3 - 14665210*b**3/3 - 730*b**2. Factor m(v).
-5*(v - 2422)**2*(v + 1)
Let d(y) be the third derivative of y**2 + 2 - 20/3*y**3 - 19/12*y**5 + 1/8*y**6 + 0*y + 25/4*y**4. Find r such that d(r) = 0.
1/3, 2, 4
Let r be (-4)/20 - 4960/(-1550). Suppose 10/3*z + 0 - r*z**2 - 1/3*z**3 = 0. Calculate z.
-10, 0, 1
Suppose 0 = -16712*l + 16497*l - 106 + 536. Factor l*u**2 + 112/3*u + 24.
2*(u + 18)*(3*u + 2)/3
Let r(n) = 3*n**3 + 13*n**2 - 4*n - 8. Let u(v) = v**3 + 3*v**2 - 2*v - 1. Let j(t) = 5*r(t) - 20*u(t). Suppose j(o) = 0. What is o?
-2, 1, 2
Let m be (5 + 3)*(-12)/3. Let g be (-8)/(-3) + m/48. Determine s so that 54*s + 6 + 2 - 4*s**g - 50*s = 0.
-1, 2
Let l = -2323474/7 - -331934. Factor -l + 62/7*u + 2/7*u**2.
2*(u - 1)*(u + 32)/7
Let w(g) = -6*g**4 - 30*g**3 + g**2 + 40*g. Let p(u) = -u**4 + u**3 + u. Let i(x) = -5*p(x) + w(x). Factor i(h).
-h*(h - 1)*(h + 1)*(h + 35)
Suppose -43*f = -44*f + 4. Factor -4*s**2 - 13*s**f + 20*s**3 + 19*s**4 - 12*s**4 - 2*s**5 - 18*s + 10.
-2*(s - 1)**3*(s + 1)*(s + 5)
Suppose 12 - 17 = -5*h. Let w(r) = -5*r**4 + 15*r**3 + 30*r**2 + 20*r + 10. Let t(q) = 2*q**3 + q**2 + 1. Let n(k) = h*w(k) - 10*t(k). Solve n(z) = 0.
-2, -1, 0, 2
Let d(c) be the first derivative of -c**5/15 + 7*c**4/6 + 12*c**3 + 105*c**2/2 + 46. Let m(l) be the second derivative of d(l). Find b such that m(b) = 0.
-2, 9
Let t(y) = -y**2 - 5*y + 20. Let w(f) be the second derivative of f**4/6 + 3*f**3/2 - 41*f**2/2 + 7*f + 10. Let a(q) = -5*t(q) - 2*w(q). Factor a(k).
(k - 2)*(k + 9)
Suppose -12*m = 5*g - 52*m + 510, -m + 7 = -3*g. Find o, given that -12 + 27/2*o - 3/2*o**g = 0.
1, 8
Let v = -316 - -316. Let b be 2*4/10*105/14. Factor v - 3/2*y**2 - b*y.
-3*y*(y + 4)/2
Let 3*f**3 - 13*f**3 + 53*f - 29*f**2 - 2*f**4 - 41*f + 2*f**3 + 27*f**2 = 0. What is f?
-3, -2, 0, 1
Let q(x) be the second derivative of -x**4/30 - 13*x**3/5 - 108*x**2/5 + 30*x + 14. Find t such that q(t) = 0.
-36, -3
Let x(l) = l**2 - 19*l + 55. Let o be x(16). Let z be ((-1)/o)/((-66)/126). Factor 1/11*u**4 - 1/11*u**3 - z*u**2 + 2/11 + 1/11*u.
(u - 2)*(u - 1)*(u + 1)**2/11
Let j(f) be the first derivative of -f**7/525 - f**6/60 + f**5/75 - 71*f**3/3 + 37. Let s(r) be the third derivative of j(r). Determine m so that s(m) = 0.
-4, 0, 1/4
Suppose -15*v + 18*v - 21 = 0. Let x be -10*(3 + 14/(-4)). Factor 3*y**2 - 10*y - x*y**2 + v*y**2.
5*y*(y - 2)
Let s = -15 - -14. Let c be (75/30)/(s/(-2)). Factor 12*i**2 + 1 + 2 - 5*i + 6*i**2 + c*i**3 - 2*i**4 - 19*i**2.
-(i - 1)**2*(i + 1)*(2*i - 3)
Suppose 78*f + 20*f = 0. Let u(g) be the third derivative of 0*g**3 - 2/1155*g**7 - 4*g**2 + 1/616*g**8 - 1/660*g**6 + f*g + 0 + 0*g**4 + 0*g**5. Factor u(t).
2*t**3*(t - 1)*(3*t + 1)/11
Let p(r) = -2*r**3 + r**2 + 2*r - 7. Let t(d) = 17*d**3 - 27*d**2 + 34*d + 24. Let u(n) = -24*p(n) - 3*t(n). Solve u(j) = 0 for j.
1, 2, 16
Let b(h) = 52*h**2 + 36*h - 74. Let c(a) = 11*a**2 + 7*a - 15. Let v = 264 + -258. Let s(f) = v*b(f) - 28*c(f). Factor s(g).
4*(g - 1)*(g + 6)
Let p(u) = -u + 10. Let h be p(8). Let d be 5 + (-15)/6*h. Factor 0*b + d + 2/3*b**2 + 0*b**3 - 2/3*b**4.
-2*b**2*(b - 1)*(b + 1)/3
Suppose 1403*y**2 - 2789*y**2 + 1383*y**2 - 876*y = 0. What is y?
-292, 0
Solve -80*a**2 - 39*a**3 + 14*a**3 - 41*a**3 - 720 + 61*a**3 - 420*a = 0.
-6, -4
Let z(l) = 6*l**4 - 106*l**3 - 250*l**2 - 62*l + 404. Let v(x) = -4*x**4 + 68*x**3 + 167*x**2 + 43*x - 269. Let f(k) = 8*v(k) + 5*z(k). Solve f(g) = 0 for g.
-3, -2, 1, 11
Let r(z) be the first derivative of 16*z**5/5 + 5*z**4 - 2*z**2 - 20. Let k(c) = -c**5 + 15*c**4 + 19*c**3 - 5*c. Let a(y) = -4*k(y) + 5*r(y). Factor a(t).
4*t**3*(t + 2)*(t + 3)
Suppose -4*o - o + 2*u + 67 = 0, -o + 16 = -3*u. Let w = 15 - o. Factor 64*s + 16*s**4 + 32 - 16*s**w + 64*s**2 - 3*s**4 + 16*s**3 - 11*s**4.
2*(s + 2)**4
Let t(q) be the third derivative of -q**5/15 + 32*q**4 - 6144*q**3 + 824*q**2. Factor t(o).
-4*(o - 96)**2
Let j(a) be the third derivative of -2/9*a**3 - 1/45*a**5 + 0*a + 1/540*a**6 + 200*a**2 + 11/108*a**4 + 0. Find w such that j(w) = 0.
1, 2, 3
Let t be 8/3*63/42. Let u(b) = -5*b**2 + 25*b - 17. Let v be u(t). Factor 25/4*s**2 - 9/2 + 39/4*s + 5/4*s**4 - 27/4*s**v.
(s - 3)**2*(s + 1)*(5*s - 2)/4
Let p(v) be the second derivative of 0 - 4/9*v**3 + 265*v - 1/126*v**7 - 13/36*v**4 + 1/90*v**6 + 2*v**2 + 3/20*v**5. Solve p(o) = 0.
-3, -1, 1, 2
Let p(y) be the second derivative of y**7/7 - y**6/6 - 91*y**5/20 - 51*y**4/4 - 83*y**3/6 - 5*y**2 - 7154*y + 1. Suppose p(a) = 0. What is a?
-2, -1, -1/6, 5
Factor -144 - 20*m + 2/3*m**2.
2*(m - 36)*(m + 6)/3
Let f(r) be the second derivative of 0 + 0*r**2 - 13/6*r**3 - 1/30*r**5 + 1/144*r**6 - 1/12*r**4 - 6*r. Let n(i) be the second derivative of f(i). Factor n(x).
(x - 2)*(5*x + 2)/2
Let k = -48 + 50. Determine j so that 12*j**2 - 9*j**k - 128*j + 1452 - 4*j = 0.
22
Let f(z) = -z**3 - 12*z**2 + 191*z + 2316. Let n be f(-13). Factor 10/3*s**n - 2/3*s**3 - 8/3*s + 0.
-2*s*(s - 4)*(s - 1)/3
Suppose x + f - 4 = 0, -4*f = 3*x + 2*x - 15. Let u = 3 - x. Solve 4*s - s + 20 + u*s + 8*s - 5*s**2 = 0 for s.
-1, 4
Factor -22780/7*o + 572/7*o**2 - 4/7*o**3 + 161604/7.
-4*(o - 67)**2*(o - 9)/7
Let i be (2/8)/(11*(-10)/(-3080)). Suppose 0 = -a - 5*o + 24, 2*o = -3*a + i + 13. Determine w so that -1/2*w**2 + 3/2*w**3 - 1/2*w**5 - w + 0 + 1/2*w**a = 0.
-1, 0, 1, 2
Suppose 37*w - 48 = -24*w + 37*w. Let l(d) be the first derivative of -39 - 5/11*d**w + 0*d + 2/33*d**3. Solve l(p) = 0.
0, 5
Suppose 7*t = -10*t - 5882. Let y = -342 - t. Let 0*h - 1/5*h**5 - 7/5*h**2 + 1/5*h**3 + 4/5 + 3/5*h**y = 0. Calculate h.
-1, 1, 2
Let k(b) be the first derivative of -13/7*b**2 - 2/7*b - 8/7*b**3 - 17. Determine t so that k(t) = 0.
-1, -1/12
Let x(s) be the third derivative of -11/15*s**5 - 34/105*s**7 + 0*s**3 + 7/10*s**6 + 0*s + 5/84*s**8 - 2 + 1/3*s**4 + 16*s**2. Factor x(h).
4*h*(h - 1)**3*(5*h - 2)
Solve 54/7*v**3 - 445/7*v + 148/7*v**2 - 150 - 2/7*v**4 - 1/7*v**5 = 0.
-5, -2, 3, 7
Find c such that -6 + 24/7*c**3 + 4/7*c**4 - 71/7*c - 1/7*c**5 - 10/7*c**2 = 0.
-3, -1, 2, 7
Suppose -3*s + 2*s - 2 = 0, 0 = -5*i + 4*s + 208. Factor -42*m**3 + 152*m**3 - i*m - 51*m**3 + 28*m**2 - 4*m**4 - 43*m**3.
-4*m*(m - 5)*(m - 1)*(m + 2)
Let h(n) be the third derivative of -n**10/831600 - n**9/41580 + n**8/12320 + 13*n**5/10 + 38*n**2. Let m(r) be the third derivative of h(r). Solve m(y) = 0.
-9, 0, 1
Let o(s) = 102*s**2 - 7*s + 6. Let h be o(1). Determine y so that -h + 2*y**3 + 2*y**3 + 29 + 20*y**2 - 32*y - 120 = 0.
-4, 3
Suppose 520*h - 531*h + 33 = 0. Let w be 2/h - (18 - (-72)/(-4)). Factor 4*x**2 + 2/3*x**4 + 8/3*x + 8/3*x**3 + w.
2*(x + 1)**4/3
Let g(p) be the second derivative of -p**4/4 + 14*p**3 + 432*p**2 - 826*p - 5. Factor g(w).
-3*(w - 36)*(w