2)**2*(t - 2)/3
Let j = -9 + 12. Let l(d) = d**3 + 3*d**2 - 7*d - 9. Let g be l(-4). Factor 6*x**j - x**2 - g*x**2 + 42*x**4 - 16*x**4 - 16*x**4.
2*x**2*(x + 1)*(5*x - 2)
Let b = -224/285 - -250/57. Let w(j) be the second derivative of 0 + b*j**2 + 2/5*j**3 - 2*j + 1/60*j**4. Factor w(o).
(o + 6)**2/5
Suppose -8 = 2*w, 0*c - 2*w = 2*c - 26. Let g be 16 + -20 - c*(-2)/6. Suppose -g + 2*h - 1/3*h**2 = 0. What is h?
1, 5
Let k = 1425069977/3237 - 1320727/3. Let a = -40/83 + k. Let 4/13*m + 56/13*m**3 - 10/13*m**4 - 66/13*m**2 + a = 0. What is m?
-2/5, 1, 4
Let o(f) be the second derivative of 38*f + 0*f**2 + 1/9*f**3 - 1/12*f**5 + 1/42*f**7 + 1/36*f**4 + 0 - 1/90*f**6. Determine y, given that o(y) = 0.
-1, -2/3, 0, 1
Let d be 23*(15/5 + 0). Let w = 231 - d. Determine n, given that -158*n**5 + 4*n**3 - 2*n**4 + w*n**5 - 6*n**4 = 0.
0, 1
Factor 1/3*i**4 - 1 + 2*i**3 - 14/3*i**2 + 11/3*i - 1/3*i**5.
-(i - 1)**4*(i + 3)/3
Let s be (-72)/(-42) - 10/(-35). Suppose -18 = -4*y + 3*n, -4*y + 3*n - 7*n = -4. Find z such that -2*z**s - y*z + 5*z**2 + 4*z - 2*z**2 = 0.
-1, 0
Let w(g) be the first derivative of 1/32*g**4 + 1/40*g**6 - 1/16*g**5 - 13/2*g**2 + 2 + 0*g**3 + 0*g. Let a(y) be the second derivative of w(y). Factor a(n).
3*n*(n - 1)*(4*n - 1)/4
Let a be (12/(-16))/(30/24)*-5. Factor 2388*x**5 - a*x**3 + 0*x**3 - 2391*x**5 - 6*x**4 + 0*x**3.
-3*x**3*(x + 1)**2
Let i be (-114 + (-116400)/(-1020))/((-2)/(-22)). Find a such that 2/17*a**4 - 8/17 - 18/17*a**2 - i*a - 2/17*a**3 = 0.
-1, 4
Let a = 33 - -41. Factor -6*t**3 + 78 - a + 4*t - 4*t**2 + 2*t**3.
-4*(t - 1)*(t + 1)**2
Factor -3/2*r**2 + 513 + 1023/2*r.
-3*(r - 342)*(r + 1)/2
Factor 2/5*h**4 - 4/5*h - 8/5*h**2 + 1/5*h**5 + 0 - 3/5*h**3.
h*(h - 2)*(h + 1)**2*(h + 2)/5
Let g(u) be the third derivative of -u**6/40 + 3*u**5/2 - 119*u**4/8 - 75*u**3 - 942*u**2. Suppose g(q) = 0. What is q?
-1, 6, 25
Let l(f) be the first derivative of -3*f**4/16 - 285*f**3/4 + 4922. Let l(m) = 0. What is m?
-285, 0
Let j(w) be the third derivative of w**8/392 + 74*w**7/735 + 59*w**6/140 + w**5/15 - 15*w**4/7 - 88*w**3/21 + 30*w**2 - 43. Solve j(l) = 0.
-22, -2, -1, -2/3, 1
Suppose 268 = 3*o - 5*f, -2*o + 188 = 4*f - 5*f. Factor 2*z + 313*z**2 - o*z**2 - 111*z**2 - 10 - 2*z**3 - 96*z**2 + 0*z**3.
-2*(z - 5)*(z - 1)*(z + 1)
Let b(u) = 43*u - 1200. Let d be b(28). Let z(y) be the third derivative of 2/21*y**7 + 0 + 0*y - y**2 - 3*y**d + 0*y**3 + 11/5*y**5 + 14/15*y**6. Factor z(x).
4*x*(x + 3)**2*(5*x - 2)
Let s(x) be the first derivative of 1 + 25*x**3 - 27/4*x**4 - 104/3*x**2 + 64/3*x. Let s(v) = 0. Calculate v.
8/9, 1
What is j in 912*j**2 - 5 + 445 - 14*j**4 - 6*j**4 + 180 + 124*j**3 + 1520*j + 84 = 0?
-2, -4/5, 11
Let c = 3571/155 + -3447/155. Factor c*f**2 + 24/5*f - 28/5.
4*(f - 1)*(f + 7)/5
Let v(i) be the third derivative of 2*i**2 + 1/15*i**5 + 2/3*i**4 + 0*i**3 + 0*i - 2/105*i**7 - 2/15*i**6 - 4. Factor v(r).
-4*r*(r - 1)*(r + 1)*(r + 4)
Let b(r) be the third derivative of r**6/360 + r**5/36 - r**4/72 - 5*r**3/18 - 1799*r**2. Determine m, given that b(m) = 0.
-5, -1, 1
Suppose 5 = l - 0. Suppose 0 = 5*z - l - 10. Factor 2*f**4 + 0*f**4 + 0*f**4 + z*f**4.
5*f**4
Suppose 0 = -5*b + 4*r + 25142, 2*r + 20116 = 4*b - 0*r. Let u be b/(-850) - -13 - (-6)/51. Factor -2/5*p**2 - 162/5 - u*p.
-2*(p + 9)**2/5
Let r(a) = 8*a**2 + 402*a + 700. Let d(u) = -18*u**2 - 805*u - 1450. Let k(j) = -6*d(j) - 13*r(j). Factor k(i).
4*(i - 100)*(i + 1)
Let i be ((-17992)/(-10380))/((-2)/10) - (0 - 17). Determine p so that -i*p + 8 + 1/3*p**2 = 0.
1, 24
Let v(s) = -8*s**2 - 1176*s - 1183. Let g(n) = 10*n**2 + 1172*n + 1182. Let i(k) = 3*g(k) + 4*v(k). Factor i(a).
-2*(a + 1)*(a + 593)
Let g = 6573091/3 + -2191029. Suppose -5*z + 22 = -y, -2*y - 2*z - 3*z = -31. Suppose 0*u + 0 - g*u**2 + 2/9*u**y = 0. What is u?
0, 6
Let r be (-6)/45*(25 - 15)*-4. Factor -16 + 4*f**2 - 4/3*f**3 + r*f.
-4*(f - 3)*(f - 2)*(f + 2)/3
Suppose -5*d + 3*v = 2*v - 11, -7 = -4*d - v. Suppose 0 = 175*f + 1086*f. Suppose -2/5*g + f - 2/15*g**d = 0. What is g?
-3, 0
Let j(w) = w**3 + 4*w**2 - 3*w - 7. Let k be j(-4). Factor 9*n**2 + k*n**3 + 30*n**2 - 4*n**2 - 9 - 26 - 34*n + 29*n.
5*(n - 1)*(n + 1)*(n + 7)
Let o = -96 - -99. Suppose p + 6 = t, 4*t - o*p + 2 = 23. Factor -27/7*n**2 - 6/7 - 3/7*n**4 - 15/7*n**t - 3*n.
-3*(n + 1)**3*(n + 2)/7
Let m(d) be the first derivative of 3/4*d**4 + 76 + 4050*d**2 + 90*d**3 + 81000*d. Factor m(p).
3*(p + 30)**3
Factor -1260 + 32*i**2 + 3*i**2 - 2*i**2 - 1263*i - 36*i**2.
-3*(i + 1)*(i + 420)
Suppose 3*s - o = 48, -2*o + 5*o = 4*s - 69. Suppose 3*z - 32 + 7 = u, -s = -2*z - u. Solve 5*x**2 - 12*x + 2*x**3 + 4*x + 5*x**3 + 4 - z*x**3 = 0 for x.
1, 2
Let s be 342/36 + -1 + -8. Let q(u) be the second derivative of 1/20*u**5 + 0 - 1/4*u**4 - 26*u + 1/2*u**3 - s*u**2. Factor q(g).
(g - 1)**3
Let l = -6/69035 - -690416/759385. Find g such that 2/11*g**4 + l*g**3 - 12/11 - 10/11*g + 10/11*g**2 = 0.
-3, -2, -1, 1
Factor 936 + 8010*x + 212*x**2 + 7554*x + 7625*x - 22403*x + 18*x**3.
2*(x + 3)**2*(9*x + 52)
Let c be -4*2/(-12) + (-6)/9. Let a be (c/(-2)*(-12)/(-24))/(-1). Factor 6 + a - j**2 - 2*j + 3*j.
-(j - 3)*(j + 2)
Let u(k) = 15*k**3 + 831*k**2 + 1536*k + 33. Let h(a) = a**3 + 52*a**2 + 96*a + 2. Let o(f) = 33*h(f) - 2*u(f). Determine p, given that o(p) = 0.
-16, -2, 0
Suppose 6*z - 10*z + 3*p + 144 = 0, 4*p = -16. Factor -72*h**2 - 13*h**3 - 3 + z*h**3 + 28*h**3 + 27*h.
3*(h - 1)*(4*h - 1)**2
Let o(a) be the first derivative of -3*a**5/5 - 87*a**4/8 - 37*a**3/2 + 39*a**2/2 + 4419. Find m such that o(m) = 0.
-13, -2, 0, 1/2
Factor 1/8*m**5 - 567/8*m + 243/4 - 9/4*m**3 - 3/4*m**4 + 27*m**2.
(m - 3)**4*(m + 6)/8
Suppose 0 = -18*g + 9 + 27. What is j in -4*j**2 - 4*j**3 + 76 - 38 - 30 - 4*j**g + 4*j = 0?
-2, -1, 1
Let i be 8/(-18) - (-248)/72. Suppose i - 15 = -6*b. Factor 8/5*p**3 - 24/5*p - 4/5*p**b + 2/5*p**4 + 18/5.
2*(p - 1)**2*(p + 3)**2/5
Let z(x) be the third derivative of x**7/420 + x**6/60 - 3*x**5/40 - 3*x**4/4 + 141*x**2. Let z(a) = 0. Calculate a.
-4, -3, 0, 3
Factor 2/3*m**2 - 3512/3 - 584*m.
2*(m - 878)*(m + 2)/3
Let u(y) be the first derivative of y**7/3360 + y**6/72 + 5*y**3 + 70. Let o(c) be the third derivative of u(c). Determine v so that o(v) = 0.
-20, 0
Let g(c) = c + 14*c**2 + 14*c + c**3 - c**3 - c**3. Let y be g(15). Determine k so that y + 3*k**3 - 3*k + 1 - 3*k**2 - 2 + 4 = 0.
-1, 1
Let y be (-30)/4*(-256)/48. Let t = y - 37. Factor -20*u**4 - 5*u**4 - 95*u**t + 20*u - 40*u**2 + 12*u**4 - 22*u**4.
-5*u*(u + 1)*(u + 2)*(7*u - 2)
Factor -167*d - 25 - 171*d - 3*d**2 - 8 + 526*d - 152*d.
-3*(d - 11)*(d - 1)
Let j = -640 - -1023. Let l = 385 - j. Factor -1/8 - 1/8*b**4 + 1/4*b**l + 0*b**3 + 0*b.
-(b - 1)**2*(b + 1)**2/8
Let g(o) be the second derivative of -o**4/18 + 40*o**3/3 + 956*o. Suppose g(q) = 0. What is q?
0, 120
Let x be 18/6 + (6/(-3) - -1). Let k(b) be the third derivative of -1/2*b**4 + 0 - x*b**2 + 1/15*b**5 + 0*b + 4/3*b**3. Factor k(o).
4*(o - 2)*(o - 1)
Let w(o) = -23*o**2 + 3*o - 16. Let i(k) = 3*k**2 - 3*k. Let y(d) = -7*i(d) - w(d). Factor y(n).
2*(n + 1)*(n + 8)
Solve 25 + 173/2*d - 7/2*d**2 = 0 for d.
-2/7, 25
Suppose 2*t - 12 = -8. Suppose 14 - 18 = -t*k. Let -4*i + 2 - 7 + 3 - k*i**2 = 0. What is i?
-1
Let l(k) = -1311*k - 19663. Let a be l(-15). What is h in 6/5*h + 1/5*h**a + 1 = 0?
-5, -1
Let t(l) = -1777*l - 26653. Let s be t(-15). Factor 0*n**3 + 0*n + 0 - 2/7*n**4 + 0*n**s.
-2*n**4/7
Let r(d) be the second derivative of d**5/20 - 53*d**4/36 + 122*d**3/9 - 70*d**2/3 - 178*d + 3. Suppose r(b) = 0. Calculate b.
2/3, 7, 10
Let j = -97213 + 97215. Solve -5/2*l + 1/4*l**j - 11/4 = 0.
-1, 11
Let i(a) be the first derivative of -221 + 27/8*a**4 - 65/2*a**3 - 825/8*a**2 + 33/20*a**5 + 1125/4*a + 1/8*a**6. Suppose i(t) = 0. What is t?
-5, 1, 3
Suppose -n - 5 + 4 = 0, -5*i - 4*n = 1439. Let g = 287 + i. Suppose 2/5*v**3 + 0*v + g*v**2 - 4/5*v**4 + 2/5*v**5 + 0 = 0. What is v?
0, 1
Let o(n) = -n**3 + 16*n**2 + 11*n - 78. Let a be o(14). Suppose -36*b + a = -108. Let 20/3*u**2 + 0 - 2/3*u**5 - 20/3*u**4 - b*u**3 + 50/3*u = 0. Calculate u.
-5, -1, 0, 1
Let x(v) be the first derivative of 20*v**3/3 - 3484*v**2 + 2784*v - 1229. Factor x(n).
4*(n - 348)*(5*n - 2)
Suppose 5*t = -2*y + 5, 32*y - 35*y