given that -f**l - 36*f + f**3 + 16 - f**3 + 48*f = 0.
-2, 4
Let 0 - 11/7*g**2 + 1/7*g**3 - 12/7*g = 0. What is g?
-1, 0, 12
Let q = -53 + 52. Let p be 8 - (-52)/7*q. Let -4/7*m**2 + 0 + 4/7*m + p*m**4 - 4/7*m**3 = 0. Calculate m.
-1, 0, 1
Let u be (-285)/665 + 76/14. Let w(p) be the second derivative of -36/5*p**3 - 1/50*p**u + 216/5*p**2 - 4*p + 0 + 3/5*p**4. Determine a so that w(a) = 0.
6
Let w be 6 + (-4 + 7)/((-1155)/13006). Let o = -138/5 - w. Factor 10/11*g + o*g**2 + 0.
2*g*(g + 5)/11
Let 259*n + 26222*n**3 - 52452*n**3 - 128*n**2 + 26229*n**3 - 130 = 0. What is n?
-130, 1
Suppose -1038*s - 121 = -737 - 1460. Factor -34/3*p + 16/3 + 4/3*p**s.
2*(p - 8)*(2*p - 1)/3
Factor 533/3*w + 1/3*w**2 + 0.
w*(w + 533)/3
Let a(t) be the third derivative of -4913*t**6/540 + 578*t**5/5 - 612*t**4 + 1728*t**3 + 3*t**2 - 4. Factor a(c).
-2*(17*c - 36)**3/9
Suppose 4*l - p = 24 + 12, -3*l + p + 27 = 0. What is j in -9*j**4 + l*j**3 - 3*j**2 + 8*j**5 - 14*j**5 + 9*j**5 = 0?
0, 1
Suppose 4*s - 76*c - 2 = -73*c, 20 = -2*s + 5*c. Find o, given that -o**3 + 0 + 4/5*o**4 + 0*o - 1/5*o**s + 2/5*o**2 = 0.
0, 1, 2
Let x(t) = -t**5 + 7*t**4 - 17*t**3 + 12*t**2 - 6*t + 15. Let m(n) = -n**5 + 7*n**4 - 17*n**3 + 11*n**2 - 6*n + 18. Let a(q) = 5*m(q) - 6*x(q). Factor a(d).
d*(d - 3)*(d - 2)*(d - 1)**2
Let m(r) = r**3 + 16*r**2 + 50*r + 199. Let x be m(-13). Suppose -22*f**4 - 2*f**3 + 14/3*f**5 + 298/3*f**2 - 24 - x*f = 0. What is f?
-2, -2/7, 1, 3
Let l(c) be the first derivative of -1/7*c**2 + 49 + 0*c - 1/21*c**3. Determine g so that l(g) = 0.
-2, 0
Let t = -50 - -77. Let a be ((-36)/20)/(9/(-15)). Factor 7026*w**3 + 243*w - 7025*w**a - 214 + 943 + t*w**2.
(w + 9)**3
Let y(h) be the third derivative of h**8/2184 + h**7/455 + h**6/780 - h**5/130 - h**4/78 - 5647*h**2 + 1. Find x such that y(x) = 0.
-2, -1, 0, 1
Suppose 5*h = -56 + 76. Factor 0*r**4 + 6*r - 4*r**3 - r**4 + 2*r**5 - 4*r**2 + 5*r**4 - h*r**3.
2*r*(r - 1)**2*(r + 1)*(r + 3)
Suppose 0 + 3460/3*b + 5/3*b**2 = 0. What is b?
-692, 0
Let k(h) be the first derivative of 81 - 144/7*h**2 + 4*h**3 - 1728/7*h - 1/7*h**4. Factor k(a).
-4*(a - 12)**2*(a + 3)/7
Find b such that 173 + 142 + 120*b - 2*b**2 + 7*b**2 + 0*b**2 = 0.
-21, -3
Suppose 0 = -j + 4*k + 284 - 306, 3*j = -2*k + 18. Find l, given that 0 - 2/15*l - 16/15*l**j = 0.
-1/8, 0
Let a be (360/(-162))/(20/(-24))*3/12. Let x be 28/(-18)*12/(-8). Determine m so that x*m**5 + 0 - 7/3*m**3 + a*m**2 - 2/3*m**4 + 0*m = 0.
-1, 0, 2/7, 1
Suppose 28 = o - 4*b, -8*b + 11*b = -2*o + 111. Suppose -13*q = 22 - o. Determine z so that 0 + 5/4*z - 1/4*z**q = 0.
0, 5
Factor 596/7*a - 48/7 + 92*a**2.
4*(a + 1)*(161*a - 12)/7
Let -30 - i**3 - 27*i**2 - 21*i**2 - 23*i**2 - 21*i**2 - 17*i + 104*i**2 = 0. Calculate i.
-1, 3, 10
Let p(n) be the second derivative of 1/110*n**5 + 1 + 900/11*n**2 + 320/11*n**3 + 50*n + 61/66*n**4. Factor p(k).
2*(k + 1)*(k + 30)**2/11
Let m = 380 - 377. Factor -3*d**4 - d + 306*d**m - 303*d**3 + d.
-3*d**3*(d - 1)
Let u be (-3 + -7)/(10/(-4)). Factor -53 - u + 24 - 3*d**2 - 36*d.
-3*(d + 1)*(d + 11)
Suppose -17 = -8*w + 23. Let k be ((-260)/(-455))/(w/21). Factor -3*u**2 + k - 24/5*u.
-3*(u + 2)*(5*u - 2)/5
Factor -3825 + 5292*h**2 + 790*h - 2651*h**2 - 2646*h**2.
-5*(h - 153)*(h - 5)
Suppose -44 = -8*i + 4*i. Suppose -2*f + i = 3*q, 105*f - 107*f = q - 5. Solve -18/5*k + 18/5*k**3 - 3/5*k**4 - 12/5*k**2 + q = 0.
-1, 1, 5
Let h(d) be the third derivative of d**7/735 - 289*d**6/84 + 24823*d**5/10 + 174243*d**4/28 - 4894*d**2. What is k in h(k) = 0?
-1, 0, 723
Let g be ((-4)/338)/((-548)/64116). Find z, given that -2/13*z**5 + g*z**4 + 6/13*z**2 - 24/13 - 38/13*z**3 + 40/13*z = 0.
-1, 1, 2, 6
Factor -180*w**2 + 70*w**4 + w - 9*w - 8*w + 134 - 48*w**3 - 66*w**4 + 106.
4*(w - 15)*(w - 1)*(w + 2)**2
Let p(b) = b**2 + 486*b - 970. Let r(v) = v - 4. Let c(a) = -5*p(a) - 15*r(a). Factor c(m).
-5*(m - 2)*(m + 491)
Let m(d) be the first derivative of -d**4/20 + 246*d**3/5 - 90774*d**2/5 + 14886936*d/5 + 4942. Factor m(w).
-(w - 246)**3/5
Let d(u) be the second derivative of -4/15*u**4 - 1/50*u**5 + 14/5*u**2 - 1/3*u**3 + 0 - 134*u. Solve d(s) = 0 for s.
-7, -2, 1
Suppose -96*p = -278*p + 143*p. Let v(z) be the second derivative of -23*z + 0*z**3 - 1/18*z**4 + p*z**2 + 0 - 1/60*z**5. Suppose v(s) = 0. Calculate s.
-2, 0
Let w be 788/197*(1 - 1/2). Suppose -w*d - 4 = -m, -4*m + 2 = 20*d - 21*d. Solve h - 1/3*h**3 - 2/3*h**2 + m = 0 for h.
-3, 0, 1
Let t(s) be the third derivative of -1/1155*s**7 - 1/60*s**6 + 44*s**2 + 0 + 0*s**3 + 0*s + 0*s**4 - 1/33*s**5. Determine m so that t(m) = 0.
-10, -1, 0
Let l(x) be the third derivative of 43*x**7/210 + 41*x**6/60 + 7*x**5/12 - x**4/6 + 2*x**2 + 16*x - 49. Factor l(b).
b*(b + 1)**2*(43*b - 4)
Let g(s) be the second derivative of 6*s**3 + 1/4*s**4 - 2*s - 17 + 54*s**2. Factor g(n).
3*(n + 6)**2
Let b(r) = -15*r - 568. Let f(a) = a**3 - 11*a**2 + 2*a - 38. Let t be f(0). Let s be b(t). What is v in -4/9 + 2/9*v**s - 2/9*v = 0?
-1, 2
Factor 0*s + 26*s**3 + 0 + 2/7*s**4 + 0*s**2.
2*s**3*(s + 91)/7
Let c be (0/(-15))/7 + 2/3. Let b(k) be the first derivative of 17 - 1/10*k**4 - 8/5*k**2 + 8/5*k + c*k**3. Let b(s) = 0. Calculate s.
1, 2
Let n(f) be the second derivative of f**7/14 - 54*f**6/5 + 477*f**5/10 - 79*f**4 + 105*f**3/2 - 2570*f + 1. Factor n(v).
3*v*(v - 105)*(v - 1)**3
Let g = 67 - 39. Suppose 0 = -4*h - 12 + g. Factor 45*z**5 + 68*z - 10*z**h + 69*z - 137*z.
5*z**4*(9*z - 2)
Suppose -330*y = -2011*y - 690*y + 4742. Factor 23/6*m + 1/3 - y*m**2.
-(m - 2)*(12*m + 1)/6
Let t(m) be the second derivative of 3*m**5/55 + 743*m**4/22 - 372*m**3/11 + 1854*m. Factor t(n).
6*n*(n + 372)*(2*n - 1)/11
Let w(r) = r**3 + 9*r**2 + 15*r + 4. Let d be w(-6). Factor -22*x - d + 5*x**2 - 2*x + 7*x**2 + 9*x**2 - 23*x**2.
-2*(x + 1)*(x + 11)
Let d(y) be the third derivative of y**5/420 - 31*y**4/6 + 289*y**3/14 + 421*y**2 + 3*y. Factor d(n).
(n - 867)*(n - 1)/7
Let o(d) be the third derivative of d**5/120 - 989*d**4/24 + 978121*d**3/12 - 3*d**2 - 66*d - 2. Factor o(q).
(q - 989)**2/2
Suppose -5*d + d - 2*y = -14, -d = -y + 1. Suppose d*t = 16 - 12. Factor -37*h**4 + 3*h**3 + 40*h**4 - 3*h**5 + 2 - 2 - 3*h**t.
-3*h**2*(h - 1)**2*(h + 1)
Let x(s) be the third derivative of -3/245*s**7 + 0*s**4 - 1/105*s**5 + 0*s**3 - 49*s**2 + 0 + 0*s + 11/420*s**6. Factor x(t).
-2*t**2*(t - 1)*(9*t - 2)/7
Let b(j) be the second derivative of -5*j**4/12 + 395*j**3/6 + 3525*j**2 + 15735*j. Find h, given that b(h) = 0.
-15, 94
Suppose -19*j = 13 - 51. Let b(n) be the second derivative of 0 + 0*n**j + 98/15*n**6 - 16/3*n**3 - 126/5*n**5 + 20*n**4 - 3*n. Find r such that b(r) = 0.
0, 2/7, 2
Factor 28*m**3 - 20099*m - 4519*m - 30*m**3 + 26912 - 462*m**2 - 1830*m.
-2*(m - 1)*(m + 116)**2
Suppose -5*g + 5 = 4*a - 26, 2*g - a = 2. Suppose 3*z - 173 = -g*r - 2*z, 4*z = -r + 67. Factor -24*t + 11 + 9 + 104*t**2 - r*t**2 - 49*t**2.
4*(t - 5)*(t - 1)
Let c(j) = -j**2 - 11*j + 14. Let i = 49 - 61. Let h be c(i). Factor -d**2 + 8 - 8 - 25*d - 4*d**h.
-5*d*(d + 5)
Let t be 386/78 - 6/(-117). Let j(u) be the first derivative of -4/5*u**t + 2*u**2 - 3 + 4/3*u**3 - u**4 + 0*u. Factor j(d).
-4*d*(d - 1)*(d + 1)**2
Determine u so that 1212/7 + 12639/7*u**3 - 7688/7*u + 8863/7*u**2 - 725*u**4 + 7*u**5 = 0.
-1, 2/7, 3, 101
Let x be 304/5 - (-48)/40. What is g in x*g**2 - 1849 + 42*g**2 - 19*g**2 + 2*g**3 - g**3 + 1763*g = 0?
-43, 1
Let l(b) be the second derivative of -b**5/20 - 7*b**4/12 - b**3 - 39*b + 8. Factor l(j).
-j*(j + 1)*(j + 6)
Let h(x) be the third derivative of -x**5/15 - 88*x**4/21 - 50*x**3/21 - 810*x**2. Factor h(t).
-4*(t + 25)*(7*t + 1)/7
Let c(l) be the third derivative of -1/3*l**4 + 1/15*l**6 + 0 + 1/105*l**7 - l**3 + 0*l - 81*l**2 + 1/15*l**5. Solve c(y) = 0.
-3, -1, 1
Let b(c) be the third derivative of 0*c**3 + 0 + 97*c**2 + 0*c**5 - 1/9*c**4 + 0*c + 1/720*c**6. Factor b(x).
x*(x - 4)*(x + 4)/6
Let s = -201 + 219. Suppose -24 = -2*h - 5*q, 3*q - 4 = -5*h + s. Determine m, given that 0 - 2/5*m**3 - 2/5*m + 4/5*m**h = 0.
0, 1
Solve 4*g**4 - 30 - 60 - 54 + 20*g**2 + 28*g**3 - 78*g**3 + 168*g + 2*g**5 = 0 for g.
-6, -2, 1, 2, 3
Solve -141*r**2 + 27*r + 84*r - 3955*r**3 + 27*r**2 + 3958*r**3 = 0 for r.
0, 1, 37
Let u(s) be the second derivative of