1/4, 2/5, 1, 3
Let p be ((-46)/92)/(6/(-4) - -1). Let b be p/(-55) + (6 - 29/5). Factor b*r**4 + 2/11*r - 2/11*r**3 - 2/11*r**2 + 0.
2*r*(r - 1)**2*(r + 1)/11
Let n(k) = k**3 + 20*k**2 - 48*k - 86. Let j be n(-22). Find x such that -107*x - 574 - 10*x**2 - 2*x**j - 341*x + 8*x**2 - 11970 = 0.
-56
Solve i + 0*i**2 + 22*i - 27*i**2 - 35 + 28*i**2 + 11 = 0.
-24, 1
Let s(c) be the third derivative of 2*c**2 + 0*c**3 + 0*c**4 - 1/45*c**5 + 5/126*c**8 - 1/36*c**6 + 11*c + 17/315*c**7 + 0. What is j in s(j) = 0?
-1, -1/4, 0, 2/5
Factor 9*u**3 - 162*u + 1/2*u**4 - 190 - 35/2*u**2.
(u - 5)*(u + 2)**2*(u + 19)/2
Let k(r) = -3*r**4 - 4*r**3 + 2*r**2 + 4*r - 7. Let u be 549/54 - ((-34)/12 - -3). Let z(t) = -2*t**4 - 2. Let w(v) = u*z(v) - 5*k(v). Factor w(j).
-5*(j - 3)*(j - 1)**2*(j + 1)
Let i = 833598 + -833596. Find n such that -371/4*n**i + 15 - 25/4*n**4 - 100*n**3 + 16*n = 0.
-15, -1, -2/5, 2/5
Let g be (1 + -3 - -2) + 45. Let l = g - 42. What is y in -65*y + 21*y**l - 6 - 100*y**2 - 4 - 66*y**3 = 0?
-1, -2/9
Let n be (-1680600)/175905 - 6/(-1). Let h = 2/1303 - n. Solve -8/9 - 32/9*o**3 + 14/9*o**4 - 2/3*o**2 + h*o = 0.
-1, 2/7, 1, 2
Let a(f) be the first derivative of 177 + 1/6*f**3 + f**2 + 2*f. Factor a(l).
(l + 2)**2/2
Let i(a) be the second derivative of -a**7/2520 - a**6/40 - 27*a**5/40 + a**4/6 + 9*a. Let t(p) be the third derivative of i(p). What is k in t(k) = 0?
-9
Let g(p) = 63*p**2 - 128*p + 7. Let f be g(2). Let w(q) be the third derivative of -48*q**2 + 0*q**f + 0*q - 5/16*q**4 + 0 - 1/48*q**5. Factor w(u).
-5*u*(u + 6)/4
Let j be 279/3627 - (-110)/91. Let o(f) be the second derivative of -5*f + 27/7*f**2 + 3/14*f**4 - j*f**3 - 1/70*f**5 + 0. Determine x so that o(x) = 0.
3
Factor 2*h**3 - 510*h**2 + 549*h**2 + 35 - 435 - 40*h - h**4.
-(h - 5)**2*(h + 4)**2
Let x(n) be the third derivative of -n**7/70 - 91*n**6/60 - 39*n**5/5 - 29*n**4/3 - 193*n**2 - n + 9. Let x(o) = 0. Calculate o.
-58, -2, -2/3, 0
Let v(i) be the third derivative of 23/20*i**5 + 71/24*i**4 + 0 - 1/210*i**7 - 5*i**2 - 4*i + 7/40*i**6 + 4*i**3. Factor v(q).
-(q - 24)*(q + 1)**3
Let t(v) = v**3 + 21*v**2 + 114*v + 222. Let a(h) = -h**2 + h + 1. Let s(n) = 6*a(n) + 3*t(n). Find p, given that s(p) = 0.
-8, -7, -4
Suppose -1/9*s**2 + 190/9 + s = 0. What is s?
-10, 19
Let d = -1278 - -1284. Suppose 2*i - d = -4*u, 2*u + 28*i - 5 = 29*i. Factor m - 3/4*m**4 + m**u - 5/4*m**3 + 0.
-m*(m - 1)*(m + 2)*(3*m + 2)/4
Let 231 - 3/4*k**2 - 219/4*k = 0. What is k?
-77, 4
Suppose -5*l = 10*l + 1440. Let x be 128/l*9/(-24). Factor x*w + 2*w**2 - 3/2*w**3 - 1.
-(w - 1)**2*(3*w + 2)/2
Let q(a) = -11*a - 193*a**2 + 191*a**2 - 31*a + 71 + 9. Let g(r) = -5*r**2 - 85*r + 160. Let f(b) = 6*g(b) - 13*q(b). Suppose f(c) = 0. Calculate c.
4, 5
Let a = -119 - -129. Factor -5*l**3 - 10*l**2 + 23*l**2 - a*l - 12*l**2 - 16*l**2.
-5*l*(l + 1)*(l + 2)
Let n(y) be the third derivative of 19/12*y**4 + 2/105*y**7 - 7/15*y**5 + 0 - 2*y**3 + 73*y**2 - 1/60*y**6 + 0*y. Determine q so that n(q) = 0.
-3, 1/2, 1, 2
Let d = 296542 + -296542. Let -6*q**2 + 2/3 + d*q = 0. What is q?
-1/3, 1/3
Let n(u) = -37*u**5 + 609*u**4 - 915*u**3 - 463*u**2 - 3. Let i(k) = 4*k**5 + 2*k**4 + 5*k**3 + k**2 + 1. Let z(l) = 3*i(l) + n(l). What is j in z(j) = 0?
-2/5, 0, 2, 23
Let i(x) = -16*x**2 - 39*x - 3. Let s(f) = 3*f**2 + 7*f. Let a(p) = -4*i(p) - 22*s(p). Factor a(q).
-2*(q - 3)*(q + 2)
Let x(m) be the second derivative of -3*m**2 - 19/6*m**4 - 35/6*m**3 + 0 + 20*m - 9/20*m**5. Find o such that x(o) = 0.
-3, -1, -2/9
Let v be 1 - (-4)/3*3. Suppose 2*n**3 + 70*n - v*n**2 - 72*n + 6 - n**2 = 0. Calculate n.
-1, 1, 3
Let u = 4363 - 21814/5. Let b(v) be the second derivative of 1/25*v**5 - 2/5*v**2 - 1/2*v**3 - 16*v + 0 - u*v**4. Factor b(m).
(m - 4)*(2*m + 1)**2/5
Let w be 9*((-14)/(-54)*-3 - -1). Let s = 75/4 + -17. Solve 5/2*f - 3/4*f**w - s = 0.
1, 7/3
Suppose 0 = p - 3*z + 10, 6*p = 3*p - 2*z + 14. Let g be -3*3/(1/(-1)). Let 2 + g*t**2 + t**2 + 10*t**p - 22*t**2 = 0. What is t?
-1, 1
Let h = 705685 + -705682. Determine m, given that h*m**4 + 33/4*m**3 + 0 - 3/4*m**5 + 9/2*m**2 + 0*m = 0.
-1, 0, 6
Let g(h) be the first derivative of 8*h - 6*h**2 + 7/4*h**4 + 3/10*h**5 - 15 + 2*h**3. Let d(k) be the first derivative of g(k). Factor d(n).
3*(n + 2)**2*(2*n - 1)
Suppose -x = -4*p + 5, 3*p + x = -1831 + 1847. Suppose -2*a + 10*a**2 - 17/2*a**p + 0 + 2*a**4 = 0. What is a?
0, 1/4, 2
Factor -73*c**2 - 5*c + 26*c + 47*c**2 + 2*c**3 + 39*c.
2*c*(c - 10)*(c - 3)
Let w(a) = -5*a**2 - 2*a. Let g = 56 - 54. Let y(c) = -3*c**2 + 8*c**2 + 2*c - c**g. Let m(i) = 4*w(i) + 6*y(i). Let m(z) = 0. What is z?
-1, 0
Let n(s) be the first derivative of 25/6*s**2 + 625/6*s + 122 + 1/18*s**3. Factor n(c).
(c + 25)**2/6
Let t be (-5 + 11/2)/((-2)/(-28)). Let u be (4/t)/(0 - (-10)/35). Let -4*c**2 + 0 + u + 5*c + 2 + 5*c**2 = 0. What is c?
-4, -1
Let s be (-2 + -4)/(29008/(-481) - -60). Determine c so that 45/2 - 3/2*c**3 + s*c**2 + 87/2*c = 0.
-1, 15
Suppose -3*u - j = u - 3, -3*j = 3*u + 9. Let z be ((-52)/(-78))/((-1)/(-12)). Let 7*h**2 - 5*h**3 - z*h - 2*h + 15*h**2 - 7*h**u = 0. Calculate h.
0, 1, 2
Let x = -59 - -95. Let c = -22 + x. Factor c + y**2 + 5*y - 15 - y**3 - 4*y.
-(y - 1)**2*(y + 1)
Let t be (-14)/(-133) + (-44840)/(-122740). Factor 2/17*b + 12/17 + 2/17*b**3 - t*b**2.
2*(b - 3)*(b - 2)*(b + 1)/17
Let v(k) be the third derivative of -89/15*k**5 + 1/30*k**6 - 249*k**2 + 1012/3*k**4 + 0*k - 3872/3*k**3 + 0. Factor v(g).
4*(g - 44)**2*(g - 1)
Let d(k) be the first derivative of -k**6/210 - k**5/70 + k**4/28 + 2*k**3/21 - 9*k**2/2 + 51. Let y(z) be the second derivative of d(z). Solve y(q) = 0.
-2, -1/2, 1
Let a(h) = -15*h**2 - 44*h - 22. Let d(c) be the third derivative of c**5/30 + c**4/24 - c**3/3 + 11*c**2 + 3. Let s(r) = -2*a(r) - 14*d(r). Factor s(y).
2*(y + 1)*(y + 36)
Suppose 0 = -130*g + 125*g + 5. Factor -2*j + 3*j**2 + 5*j + 682*j**3 + g - 681*j**3.
(j + 1)**3
Let p(t) be the second derivative of 0 + 0*t**2 + 1/1080*t**6 + 1/60*t**5 + 13/3*t**3 - 20*t + 1/8*t**4. Let v(a) be the second derivative of p(a). Factor v(z).
(z + 3)**2/3
Let o(y) = -6*y**3 - 30*y**2 + 82*y + 23. Let i(f) = -f**3 - 5*f**2 + 14*f + 4. Let a(t) = -23*i(t) + 4*o(t). Suppose a(v) = 0. What is v?
-6, 0, 1
Let q = 355577/15 - 23705. Let a(h) be the third derivative of 0*h + 0 - 3/5*h**3 + 13*h**2 + q*h**4 + 1/150*h**5. What is n in a(n) = 0?
-9, 1
Let i = 2181 + -2178. Let y(d) be the second derivative of 1/12*d**4 + 2*d**2 - 5/6*d**i + 0 + 7*d. Let y(a) = 0. Calculate a.
1, 4
Let v = 667 + -741. Let f = v + 223/3. Factor 3 + f*g**2 + 2*g.
(g + 3)**2/3
Suppose -7*s + 333 - 60 = 0. Suppose 0 = 46*d - s - 53. Factor -2/3*p**3 - 2*p**2 - 2/3 - d*p.
-2*(p + 1)**3/3
What is g in 71*g**2 + 29*g**2 + 47 - 1660*g + 1148*g + 13 = 0?
3/25, 5
Let m be 1/(-3) + (26 - 18)/24. Let d(x) be the second derivative of 0 - 1/462*x**7 - 1/66*x**3 + 1/110*x**5 + m*x**2 + 0*x**6 + 18*x + 0*x**4. Factor d(f).
-f*(f - 1)**2*(f + 1)**2/11
Let k(n) be the second derivative of n**4/3 + 140*n**3/3 - 1698*n. Factor k(o).
4*o*(o + 70)
Factor 506*c**3 + 81*c + 3060*c**2 + 4 - 2726*c**2 + 85*c**5 - 5 + 339*c**4.
(c + 1)**4*(85*c - 1)
Let a(x) be the second derivative of -x**4/24 - 5*x**3/12 + 84*x**2 + 3079*x. Determine i, given that a(i) = 0.
-21, 16
Determine z so that -693*z - 3501/4*z**3 + 15/4*z**4 + 0 + 2082*z**2 = 0.
0, 2/5, 2, 231
Let j = -1693 + 3835. Let p = j - 2142. Determine x, given that p + 0*x**2 - 16/3*x + 4/3*x**3 = 0.
-2, 0, 2
Let l(j) be the third derivative of j**9/80640 + 17*j**8/26880 - 29*j**5/15 - 19*j**2 - 2. Let z(y) be the third derivative of l(y). Solve z(v) = 0 for v.
-17, 0
Let x(c) be the second derivative of 3*c**5/20 + 99*c**4/2 + 585*c**3/2 - 3929*c + 2. Suppose x(l) = 0. What is l?
-195, -3, 0
Let p be 2*(30/(-4))/(-5). Let o(w) = -26*w**3 - 54*w**2 - 37*w - 4. Let b be o(-1). Suppose 2/3*r**p + 0*r + 0 + 0*r**2 - 4/3*r**4 + 2/3*r**b = 0. What is r?
0, 1
Let c be -5 + (-3 - (-1 - 4)) - -25. Suppose 0 = -137*m + 148*m - c. Solve -2/5 - 7/5*o + 4*o**m - 11/5*o**3 = 0 for o.
-2/11, 1
Let k(t) = -2*t**3 + 18*t + 3. Let h be k(-3). Factor 4*n**4 + 13*n**2 - 35*n**h - 3*n**2 - 30*n**2 + 140*n + n**4.
5*n*(n - 7)*(n - 2)*(n + 2)
Let i(c) = c**3 - 42*c**2