 = 9*l**3 - 6*l**2 + 9*l - 12. Suppose -183*n + 179*n = 24. Let f(x) = n*m(x) - z(x). Factor f(y).
-3*(y - 2)*(y - 1)**2
Suppose 6*n + 3491 = -139. Let h = -603 - n. Suppose -5/4*y**h + 5/2*y + 0 = 0. What is y?
0, 2
Suppose -g - 45 = 7*w - 111, w + 22 = 3*g. Suppose -13/3*p**2 + w*p + 4/3 = 0. What is p?
-2/13, 2
Let q(j) = j**2 + 298*j + 15801. Let u be q(-229). Find x, given that u - 2/7*x**5 + 2/7*x + 0*x**3 - 4/7*x**2 + 4/7*x**4 = 0.
-1, 0, 1
Let h = 125213 + -125213. Find s, given that 0*s**3 + h*s + 1/11*s**5 - 4/11*s**2 + 0 + 3/11*s**4 = 0.
-2, 0, 1
Find y such that 1119*y**2 + 29*y**2 - 227*y**2 + 3*y**3 - 4397*y**2 - 10*y**2 = 0.
0, 1162
Let j(n) be the second derivative of -n**4/4 + 46*n**3 - 528*n**2 - 5793*n. Find x such that j(x) = 0.
4, 88
Let p be (-40)/(-15)*(-18)/(-12). Let 40*l**2 + 9*l - 27*l**3 + 61*l**3 + 32*l**5 - 3*l - 53*l**4 - 92*l**p + 33*l**4 = 0. Calculate l.
-1/4, 0, 1, 3
Factor -2/17*o**2 + 0 + 2322/17*o.
-2*o*(o - 1161)/17
Let g(w) be the second derivative of -2*w**6/15 + 8*w**5/5 + 5*w**4 - 36*w**3 - 213*w. Determine v, given that g(v) = 0.
-3, 0, 2, 9
Determine d so that 10*d**5 + 24142*d**4 - 7*d**5 + 123*d**3 - 126*d**2 - 24178*d**4 = 0.
0, 2, 3, 7
Let f(d) = 11*d**3 - d**2 + 2. Let g be f(1). Let m be (g/(-21))/(10/(-35)). Solve 0*i**m - 4*i**2 - 193*i**4 + 197*i**4 = 0 for i.
-1, 0, 1
Let f = -107 + 142. What is u in 488*u**3 - 2*u**4 - 4*u + 4*u**2 - f*u**5 - 449*u**3 - 2*u**4 = 0?
-1, -2/5, 0, 2/7, 1
Suppose 15*d = 21*d - 948. Let l = d + -158. Find r such that l*r + 2/15*r**2 - 8/15 = 0.
-2, 2
Suppose -28*g = -z - 29*g - 4, 8 = -5*z - 3*g. Let s(a) be the second derivative of -2*a**z + 13*a + 0 + 2/3*a**3 - 1/12*a**4. Determine l so that s(l) = 0.
2
Let d(m) be the second derivative of 25/2*m**2 - m - 1/100*m**5 - 1/40*m**4 - 1/600*m**6 + 0 - 1/30*m**3. Let i(b) be the first derivative of d(b). Factor i(y).
-(y + 1)**3/5
Let m(q) be the third derivative of q**7/350 + 33*q**6/200 - 3*q**5/100 - 97*q**4/40 + 33*q**3/5 - 46*q**2 - 1. Solve m(i) = 0 for i.
-33, -2, 1
Let k(f) = -f**2 - f + 1. Let n(t) = 4*t**3 + 42*t**2 - 10*t - 150. Let o(d) = -6*k(d) - n(d). Determine c so that o(c) = 0.
-9, -2, 2
Let c(b) be the second derivative of 8/3*b**4 + 0*b**5 + 0*b**3 - 32*b**2 - 2/15*b**6 - b + 171. Factor c(l).
-4*(l - 2)**2*(l + 2)**2
Suppose 1/4*p**2 + 31/2*p + 961/4 = 0. What is p?
-31
Let y = 1046 + -1048. Let a be 1/y + (-17)/(15 + -49). Factor a*v**2 + 16/3*v - 4*v**3 + 0 + 4/3*v**4.
4*v*(v - 2)**2*(v + 1)/3
Solve -40*g**3 + 25*g**4 - 3 + 149*g**2 + 3 + 145*g**3 - 39*g**2 = 0.
-11/5, -2, 0
Let k = 69 + -71. Let j(f) = -3*f**2 - 130*f - 1456. Let g(u) = -3*u**2 - 129*u - 1458. Let d(n) = k*g(n) + 3*j(n). Solve d(s) = 0.
-22
Let n(i) be the first derivative of -3*i**7/70 + i**6/20 + 11*i**5/60 - i**4/6 - 2*i**3/3 - i**2 - 12. Let w(o) be the second derivative of n(o). Factor w(k).
-(k - 1)**2*(3*k + 2)**2
Suppose -b + 566 = 5*t, 4*b + 3*t = b + 1758. Let p be 2167/b*(-4)/(-66). Factor -2/9*a**2 + p + 0*a.
-2*(a - 1)*(a + 1)/9
Let k(i) be the third derivative of 9*i**8/16 + 9*i**7/14 + i**6/32 - 3*i**5/16 - i**4/16 - 37*i**2. Solve k(d) = 0 for d.
-1/2, -1/3, -1/6, 0, 2/7
Let m(t) be the third derivative of t**5/180 - 85*t**4/72 + 3*t**2 - 45*t. Let m(n) = 0. Calculate n.
0, 85
Let x be (42/(-693))/2*-1. Let a(o) be the first derivative of 2/11*o - 3/22*o**2 + x*o**3 + 3. Determine n, given that a(n) = 0.
1, 2
Let l(n) be the second derivative of 5/3*n**4 - 4/9*n**3 + 8/15*n**5 + 0*n**2 + n - 35. Suppose l(z) = 0. What is z?
-2, 0, 1/8
Factor -1 + 12 + 49*g**2 - 221*g + 333*g + 53.
(7*g + 8)**2
Let r = 9620 - 9600. Let q(b) be the second derivative of -1/4*b**4 - 1/20*b**6 + 0 + 0*b**3 - r*b + 0*b**2 - 9/40*b**5. Determine p so that q(p) = 0.
-2, -1, 0
Let r(p) be the first derivative of -p**4/12 - 11*p**3/9 - 20*p**2/3 - 16*p + 759. Factor r(x).
-(x + 3)*(x + 4)**2/3
Suppose 4*t + 322 = 2*n + 1100, 0 = 5*t + 2*n - 950. Suppose 8*l - 18 = -l. Factor -59*g - 36*g**l + 34*g - t - 3*g**3 - 46*g - 73*g.
-3*(g + 4)**3
Let u = -843 + 857. Suppose -10*f - 14*f = -u*f. Factor 4/3*c**3 + f + 0*c**2 + 0*c - 10/3*c**4 - 14/3*c**5.
-2*c**3*(c + 1)*(7*c - 2)/3
Factor -305*z**3 + 150*z**2 - 56*z**5 + 160*z**4 - 50*z**5 - 25*z**5 + 126*z**5.
-5*z**2*(z - 30)*(z - 1)**2
Suppose 0 = -95*m + 91*m + 12. Let l(v) be the second derivative of 11*v + 1/4*v**4 + 0 + 0*v**2 - 1/10*v**5 - 1/30*v**6 + 0*v**m. Suppose l(p) = 0. What is p?
-3, 0, 1
Let o be (-12)/28 + 336/98. Determine u so that -20 - 27*u**4 + 43*u**4 + 34*u - 41*u**o - 10*u**2 - 2*u**5 + 14*u**2 + 9*u**3 = 0.
-1, 1, 2, 5
Let y = 296042 - 296037. Suppose -2/13*d**y - 2/13*d**2 + 0*d - 6/13*d**4 - 6/13*d**3 + 0 = 0. Calculate d.
-1, 0
Let j be 108/(-270) - 24/(-10). Solve -112/9*q - 4/9*q**3 - 40/9*q**j - 32/3 = 0.
-6, -2
Let i(z) = -38*z**2 - 71*z - 69. Let y(h) = 9*h**2 + 18*h + 17. Let w = -34 - -43. Let q(v) = w*y(v) + 2*i(v). Let q(p) = 0. Calculate p.
-3, -1
Suppose 29*x = 70*x - 246. Suppose -3*g + x*g = -0*g. What is j in 7/2*j**3 - 2*j**5 + 0 - j**2 + g*j + 5/2*j**4 = 0?
-1, 0, 1/4, 2
Let a be (1/(-2))/((-1)/5640*10). Suppose -21*p - a = -115*p. Suppose 0 - 12/5*r**2 - 3/5*r**p - 12/5*r = 0. Calculate r.
-2, 0
Let m(r) be the third derivative of -r**5/15 - 11*r**4 - 726*r**3 - 96*r**2 + 7*r. Factor m(o).
-4*(o + 33)**2
Determine u, given that 2/13*u**4 - 4*u - 96/13 + 94/13*u**2 + 4*u**3 = 0.
-24, -2, -1, 1
Let m(i) be the first derivative of -i**4/12 - 1541*i**3/9 - 2888. Solve m(k) = 0.
-1541, 0
Suppose 1 - 25 = -u. Let b be ((-10)/(-6))/(20/u). What is o in -12*o**2 - b*o**3 + 5*o**3 + 46*o + 12 - 49*o = 0?
-1, 1, 4
What is v in -5964*v**3 - 45122*v**2 + 44654*v**2 - 20188*v**4 + 0*v - 4*v = 0?
-1/7, -1/103, 0
Let r = 357122 + -357119. Factor -3*x + 0 + 7/2*x**2 - 1/2*x**r.
-x*(x - 6)*(x - 1)/2
Let b = -1 + 7. Let w(h) = 4*h**2 - 14*h + 10. Let f be w(3). Determine m so that 2 + 191*m**3 - f*m - 14*m**2 - 2 - 207*m**3 - b*m**4 = 0.
-1, -2/3, 0
Let n(o) = -46*o**3 + 114*o**2 - 234*o + 100. Let v(d) = -53*d**3 + 113*d**2 - 235*d + 98. Let z(t) = -7*n(t) + 6*v(t). Solve z(y) = 0 for y.
1, 28
Let l(z) be the second derivative of z**6/60 - 17*z**5/20 + 15*z**4 - 72*z**3 - 864*z**2 - 493*z. What is q in l(q) = 0?
-2, 12
Let y be ((-264)/(-748))/((-54)/(-136)). Suppose 2/3*z**4 - 2*z**2 + 0*z + y - 4/9*z**3 = 0. Calculate z.
-1, 2/3, 2
Let s be (-14)/(-6) - 6/18. Let 10*r + 2*r**s - 6000 + 6000 = 0. What is r?
-5, 0
Let o be 52/988 + (-770)/(-532). Let -o*i**2 - 9/2*i - 9/2 - 1/6*i**3 = 0. Calculate i.
-3
Let n(c) be the third derivative of -c**2 + 512/3*c**3 + 1/210*c**7 - 9 + 0*c + 3/10*c**6 + 48*c**4 + 97/15*c**5. Solve n(r) = 0 for r.
-16, -2
Suppose 3*y - 7*y = -2*q + 26, -3*q = 3*y - 12. Suppose q*h = 8*h - 3. Suppose r**3 + 25*r**2 - 4*r - 23*r**2 + 3*r**h - 3*r**3 - 8 = 0. Calculate r.
-2, 2
Let s(z) = -2*z - 1. Let l(w) = 6*w + 115. Let c(m) = l(m) + 4*s(m). Let x be c(53). Solve 0*p**2 - 1/2*p**x + 0*p**3 + 0*p**4 + 0*p + 0 = 0.
0
Let s(y) = 13*y**2 + 43*y - 49. Let q(m) be the second derivative of 3*m**4/4 + 29*m**3/6 - 33*m**2/2 + 44*m. Let w(d) = 7*q(d) - 5*s(d). Factor w(h).
-2*(h - 1)*(h + 7)
Let l(z) = -861*z - 135177. Let f be l(-157). Find b such that 3/5*b**4 + f*b + 0*b**2 + 0 - 1/5*b**5 + 0*b**3 = 0.
0, 3
Let g(l) be the third derivative of -1/20*l**5 - 58*l**2 + 0*l - 16*l**3 - 33/8*l**4 + 0. Find i such that g(i) = 0.
-32, -1
Let y = 140041/18 + -7780. Let x(k) be the second derivative of -1/120*k**5 + 1/6*k**2 + y*k**4 - 5/36*k**3 + 10*k + 0. Factor x(u).
-(u - 2)*(u - 1)**2/6
Let o(r) be the first derivative of -r**4/12 - 104*r**3 - 48672*r**2 - 10123776*r - 488. Let o(w) = 0. What is w?
-312
Let r(c) be the first derivative of -c**3 - 2*c - 11 - 19*c + 21*c**2 - 126*c. Factor r(u).
-3*(u - 7)**2
Let t(c) be the second derivative of -5/147*c**7 + 1/7*c**3 - 3/35*c**5 + 0 + 2/21*c**4 + 67*c + 0*c**2 - 4/35*c**6. Let t(p) = 0. Calculate p.
-1, 0, 3/5
Let a(i) = -10*i**5 - 12*i**4 - 34*i**3 + 48*i**2 + 128*i. Let h(m) = 12*m**5 + 12*m**4 + 33*m**3 - 48*m**2 - 128*m. Let b(z) = 14*a(z) + 12*h(z). Factor b(d).
4*d*(d - 8)*(d - 2)*(d + 2)**2
Suppose 106720/3*s - 105800/3 - 922/3*s**2 + 2/3*s**3 = 0. What is s?
1, 230
Let n be 5/(-20)*3*11/(-