= 0 for l.
-9, 1, 46
Let y(u) be the third derivative of -u**8/616 - 12*u**7/385 + 3*u**6/11 - 32*u**5/55 + 3*u**2 + 60*u + 4. Factor y(m).
-6*m**2*(m - 2)**2*(m + 16)/11
Suppose -139*m - 122*m + 1495 = 38*m. Factor -1/6*c**m + 0 + 3*c**2 + 0*c - 2/3*c**4 + 1/2*c**3.
-c**2*(c - 2)*(c + 3)**2/6
Suppose -141 + 123 = -9*o. Let p be (8/44 + 9/11)*o. Let 0*q + 0 - 9/2*q**3 + 9/2*q**4 + 3/2*q**p - 3/2*q**5 = 0. Calculate q.
0, 1
Let u = -51 + 63. Suppose 2*p = -4*w + u, -2*w = 5*p + 2*w - 12. Factor -3*h**2 - 2 + 6*h + p*h**2 + 1 + 10.
-3*(h - 3)*(h + 1)
Let z be 1354458/(-3060) + 1/(-6). Let i = 2253/5 + z. Suppose 18/5*b + 21/5*b**3 + 0 - i*b**2 + 3/5*b**4 - 3/5*b**5 = 0. Calculate b.
-3, 0, 1, 2
Determine j so that 136/5 - 1/10*j**2 + 13/5*j = 0.
-8, 34
Suppose 0 = 5*q + 104 + 31. Let m = q - -36. Factor -55*v**2 - m*v**4 - 3*v**5 - 9*v**3 + 0*v**5 + 52*v**2.
-3*v**2*(v + 1)**3
Let q(c) = -192*c**2 + 6911*c + 37. Let r be q(36). Find f such that -1/4*f**3 + 0*f + 3/4*f**2 - r = 0.
-1, 2
Factor -420/13 + 2/13*d**2 + 46/13*d.
2*(d - 7)*(d + 30)/13
Let s(y) be the first derivative of -y**7/126 - y**6/45 - y**5/60 + 62*y + 28. Let z(m) be the first derivative of s(m). Solve z(b) = 0.
-1, 0
Let b(a) be the second derivative of a**5/180 - 7*a**4/108 + 11*a**3/54 - 5*a**2/18 - 4529*a. Factor b(z).
(z - 5)*(z - 1)**2/9
Let o(m) be the first derivative of 5*m**2 + 14*m - 3 + 5/12*m**4 + 5/2*m**3. Let l(k) be the first derivative of o(k). Solve l(s) = 0 for s.
-2, -1
Let s(k) be the first derivative of -29/12*k**4 + 19*k + 9/20*k**5 - 12 - 2*k**2 + 4*k**3. Let d(p) be the first derivative of s(p). Let d(a) = 0. What is a?
2/9, 1, 2
Solve 12/7*f**3 - 120/7*f + 39/7*f**2 - 3/7*f**4 - 144/7 = 0.
-3, -1, 4
Suppose -681 = -a + 5*w, 59*w = 3*a + 55*w - 2032. Let k = a - 3368/5. Factor 9/5 - k*p**2 - 33/5*p.
-3*(p + 3)*(4*p - 1)/5
Let a(s) = -s**3 - 14*s**2 - 18*s - 24. Let i be a(-14). Factor 4*k + 128*k**3 + 19 + 142*k + i*k**2 + 6*k + 20*k**4 + 13.
4*(k + 1)**2*(k + 4)*(5*k + 2)
Let d(r) = 2*r**3 - r**2. Let q(a) = 3*a**3 - 255*a**2 + 159*a + 102. Suppose -6*v + 1 = -5. Let m(n) = v*q(n) - 9*d(n). Let m(k) = 0. What is k?
-17, -2/5, 1
Let w(n) = -n**3 + 2*n**2 - n + 1. Let b(u) = 4*u**3 - 459*u**2 + 906*u - 456. Let f(y) = b(y) + 5*w(y). Suppose f(t) = 0. Calculate t.
-451, 1
Find a, given that 2368/9*a - 32*a**3 - 704/3 - 416/9*a**2 + 4/9*a**5 + 76/9*a**4 = 0.
-22, -3, 2
Let f be (1 + (-3)/(-2))*(-15000)/(-5625). What is x in f + 0*x + 5/3*x**4 + 0*x**3 - 25/3*x**2 = 0?
-2, -1, 1, 2
Solve -5*m**3 - 180 - 72*m - 45*m + 9*m**2 + 61*m**2 + 12*m = 0 for m.
-1, 3, 12
Let r(b) be the second derivative of -b**5/35 - 8*b**4/21 - 26*b**3/21 - 12*b**2/7 + 30*b + 7. Find f, given that r(f) = 0.
-6, -1
Let c(s) be the second derivative of -3*s**6/20 - 1071*s**5/40 - 353*s**4/4 - 1055*s**3/9 - 78*s**2 - 9*s + 98. Factor c(n).
-(n + 117)*(3*n + 2)**3/6
Let l(o) be the first derivative of -o**4/8 + 13*o**3/2 + 10*o**2 - 3319. Factor l(y).
-y*(y - 40)*(y + 1)/2
Suppose -14 = m - 17. Let z(w) = 3*w**4 + 14*w**3 + 46*w**2 + 82*w + 48. Let f(i) = i**4 + i**3 - i**2 + i. Let d(g) = m*z(g) - 6*f(g). Factor d(x).
3*(x + 2)**3*(x + 6)
Suppose -83 = -4*o + 2*o - t, 5*o = 5*t + 200. Let z = o + -37. Solve -2*h**5 + 2*h**z - 7*h**2 + 4*h**4 + 9*h**2 - 6*h**3 = 0.
0, 1
Let h = 900 - 896. Suppose 3*r**2 - r**5 - 10613*r**4 - 5 + 10616*r**h - r**2 - 9*r + 10*r**3 = 0. Calculate r.
-1, 1, 5
Let n be (-162)/(-14) + ((-240)/9600 - (-558)/(-80)). Find j such that 0 + n*j**2 + 4/7*j**3 - 80/7*j = 0.
-10, 0, 2
Let f(a) = -92*a**2 + 23*a + 156. Let i(s) = -51*s**2 + 12*s + 78. Let x(r) = -5*f(r) + 9*i(r). Suppose x(v) = 0. What is v?
-6, 13
Suppose -241*x = -251*x - 810. Let q be (384/x)/(66/(-99)). Find s, given that -q*s - 4/9*s**4 + 64/9 + 16/9*s**3 + 0*s**2 = 0.
-2, 2
Let y(v) be the third derivative of 2*v**2 + 71/510*v**5 - 46*v + 0 + 6*v**4 - 432/17*v**3 + 1/1020*v**6. Factor y(t).
2*(t - 1)*(t + 36)**2/17
Let s(i) = -11*i - 62. Let v be s(-10). Factor -17*y + 3*y**3 - 7*y**3 - 6*y**2 + 6*y**3 + v - 3*y.
2*(y - 4)*(y - 2)*(y + 3)
What is i in 2/11*i**4 - 4/11*i**3 - 236/11*i - 144/11 - 98/11*i**2 = 0?
-4, -2, -1, 9
Suppose 61*s + 16*s - 112 = 42. Determine z so that 90*z + 0 + 5/2*z**3 + 30*z**s = 0.
-6, 0
Let n(d) be the second derivative of d**5/60 + 17*d**4/36 + 26*d**3/9 - 30*d**2 + 11*d - 152. Factor n(s).
(s - 2)*(s + 9)*(s + 10)/3
Factor -4*a + 3*a**2 - 2*a**3 + 3*a**3 - 2*a - 8 + 0*a**3.
(a - 2)*(a + 1)*(a + 4)
Determine w, given that 110 + w**5 - 356 + 70*w**2 + 110 + 0*w**5 + 85 + 30*w**3 - 19*w**4 - 31*w = 0.
-1, 1, 3, 17
Factor 579*d - 4*d**4 + 121*d**3 - 1589 - 21*d**3 - 139 - 816*d**2 + 1869*d.
-4*(d - 12)*(d - 6)**2*(d - 1)
Let y(w) be the first derivative of -3/10*w**6 - 12/5*w - 27/4*w**4 - 77 - 49/5*w**3 - 36/5*w**2 - 57/25*w**5. Determine i so that y(i) = 0.
-2, -1, -1/3
Let w(x) be the second derivative of 5/21*x**3 + 2 + 2/35*x**5 - 1/210*x**6 + 0*x**2 - 16*x + 19/84*x**4. Let w(s) = 0. What is s?
-1, 0, 10
Let g(m) = -1295*m**3 + 10362*m**2 - 20757*m + 77. Let q(c) = -10360*c**3 + 82895*c**2 - 166055*c + 615. Let v(b) = 25*g(b) - 3*q(b). Factor v(y).
-5*(y - 4)**2*(259*y - 1)
Let q(f) be the second derivative of f**5/20 - f**4 - 13*f**3/6 + f + 2266. Find j, given that q(j) = 0.
-1, 0, 13
Let j(l) be the third derivative of 0*l - 1/40*l**5 - 39*l**2 + 0 - 9/2*l**3 + 19/16*l**4. Suppose j(i) = 0. What is i?
1, 18
Let j(y) be the third derivative of -24/7*y**3 - 3*y + 1/490*y**7 - 13/7*y**4 + 0 + 2/35*y**6 + 18*y**2 - 5/84*y**5 - 1/1176*y**8. Solve j(o) = 0 for o.
-3, -1/2, 4
Let l(f) be the second derivative of f**7/672 - f**6/48 + f**5/8 - 5*f**4/12 + 4*f**3/3 + 7*f + 1. Let w(r) be the second derivative of l(r). Factor w(y).
5*(y - 2)**3/4
Let x(m) be the first derivative of -m**4/3 + 116*m**3/3 - 1682*m**2 + 76*m - 83. Let y(g) be the first derivative of x(g). Find q such that y(q) = 0.
29
Let t = 2494/9361 + -72/851. Let -18/11*x + 0 - 16/11*x**2 + t*x**3 = 0. Calculate x.
-1, 0, 9
Factor 157 + 5*t**2 + 470*t - 3 - 42 + 353.
5*(t + 1)*(t + 93)
Let j(z) be the second derivative of z**5/16 + 625*z**4/16 + 310*z**3 + 1855*z**2/2 - 5488*z. Solve j(c) = 0 for c.
-371, -2
Suppose -22*q + 27*q - 80 = 0. Let t = 18 - 0. Factor -9*f**2 + 14 + t + 9*f**2 - q*f + 2*f**2.
2*(f - 4)**2
Let a(y) = 373*y**3 + 2. Let u be a(1). Factor 366*t**4 + 2*t**3 + 2*t**3 - 6*t**3 + 11*t**5 - u*t**4.
t**3*(t - 1)*(11*t + 2)
Determine u so that -27/4 + 13/2*u**2 - 57/8*u - 5/8*u**3 = 0.
-3/5, 2, 9
Let w(h) be the first derivative of -h**5/80 - 7*h**4/16 - 49*h**3/8 - 41*h**2 + 4. Let i(d) be the second derivative of w(d). Determine p, given that i(p) = 0.
-7
Factor -22*u**3 - 126*u**2 + 93*u - 8*u**4 + u**5 + 8*u**4 + 178*u**2 - 18*u**4 + 38.
(u - 19)*(u - 2)*(u + 1)**3
Let p = -324 - -326. Let s = 0 + 3. Factor -3*y**s - 9*y**2 - y**p + 13*y**2 + 0*y + 6*y.
-3*y*(y - 2)*(y + 1)
Let y(n) = 43*n**2 - 8821*n + 1233. Let q be y(205). Let f = 1 + 1. Let 3/4*r**q + 0 - 9/2*r + 3/4*r**f = 0. What is r?
-3, 0, 2
Let o(p) be the first derivative of 2*p**5/5 + 25*p**4/2 + 46*p**3 + 67*p**2 + 44*p - 2381. What is g in o(g) = 0?
-22, -1
Suppose 36*g**2 - 836*g + 49*g**2 - 436*g + 53*g**2 - 141*g**2 = 0. What is g?
-424, 0
Let r = 13946/7501 - -170/577. What is j in r*j - 2/13*j**4 + 24/13*j**3 + 54/13*j**2 + 0 = 0?
-1, 0, 14
Factor -30*r**3 + 3*r**2 + 56*r**4 + 54*r - 37*r**3 - 59*r**4 + 13*r**3.
-3*r*(r - 1)*(r + 1)*(r + 18)
Suppose -19*l - 56 = -5*l. Let k be ((-830)/30 + 21)*l/50. Solve -8/3*m + 4*m**3 + k + 6/5*m**4 + 26/15*m**2 = 0 for m.
-2, 1/3
Let b = -1562 + 4688/3. Let l(x) be the first derivative of 1/4*x**2 - 11 + 2/5*x**5 + 0*x - 1/8*x**4 - b*x**3. Let l(q) = 0. What is q?
-1, 0, 1/4, 1
Let a(x) be the second derivative of -x**5/30 - x**4 - 9*x**3 - 41*x**2/2 + 41*x. Let z(n) be the first derivative of a(n). Factor z(q).
-2*(q + 3)*(q + 9)
Factor 272/7*j**2 + 60/7*j**4 + 0 - 264/7*j**3 + 2/7*j**5 + 0*j.
2*j**2*(j - 2)**2*(j + 34)/7
Let k(l) = -l**2 - 9*l - 3. Let p be k(-8). Suppose p*x + 17*u - 19*u = 10, -x - u + 2 = 0. What is t in -3/4*t - 3/4*t**x + 3/2 = 0?
-2, 1
Let v(d) = 30*d + 33. Let n be v(-1). Factor 4*k**n + 248*k**2 + 22188*k - 13*k**2 + 281*k**2 + 318028.
4*(k + 43)**