*b**2 - 6*b + 2 - 516*b**2 + 2*b. Let g(x) = -4*x**2 - 9*x + 3. Let y(s) = w*p(s) - 2*g(s). Factor y(i).
-2*(i - 1)*(i + 2)
Let p(i) be the first derivative of -6*i**4 + 300*i**3 - 5625*i**2 + 46875*i - 2208. Determine m, given that p(m) = 0.
25/2
Let n be (1 + -5)*(-7230)/(-120). Let x = -1203/5 - n. Factor 0*k - x*k**2 + 2/5.
-2*(k - 1)*(k + 1)/5
Let d(l) = -l**2 - 8*l + 9200. Let x be d(-100). Factor 0*m - 1/10*m**5 + 0*m**2 + x - 1/5*m**3 + 3/10*m**4.
-m**3*(m - 2)*(m - 1)/10
Suppose o - 17 = -3*j + 7, -3*j = -5*o + 66. Factor 2*g**3 + o + 5*g + 164*g**2 - 172*g**2 - 7*g - 7.
2*(g - 4)*(g - 1)*(g + 1)
Suppose s + a - 96 = 0, -12*s + 7*s + 484 = a. Suppose 32*t - s = -33. Factor -96/5*w - 576/5 - 4/5*w**t.
-4*(w + 12)**2/5
Suppose 0 = 5*m + 2*w - 5 - 13, -5*m + 22 = 3*w. Factor 2970 + 2965 + m*v**2 - 5939 - 2*v.
2*(v - 2)*(v + 1)
Let g be (-4 - 4)/(-2)*14/8. Suppose k + 156 = g*k. Factor -k*j**3 - 20*j**3 + 50*j**3.
4*j**3
Let u = 2870 - 2847. Let z(d) be the third derivative of -u*d**2 - 1/20*d**4 + 0 + 0*d + 3/10*d**3 + 1/300*d**5. Determine i, given that z(i) = 0.
3
Let h(t) = -1297*t - 42785. Let m be h(-33). Factor 8/9*o**2 + 4*o**3 - m*o - 32/9.
4*(o - 2)*(o + 2)*(9*o + 2)/9
Let b = 2612 - 2610. Let a be (20/6)/(21*(-5)/(-45)). Solve -5/7*x**b + 23/7*x + a = 0 for x.
-2/5, 5
Let s be 1/4 + 0 + (-35)/(-4). Suppose -9 = -4*q - u, 2*q + s*u = 4*u + 9. Factor 3*x**2 - 4 - 2*x**2 - q*x**2 - x - 4*x.
-(x + 1)*(x + 4)
Let s(t) = 2*t**2 - 6*t - 39. Let r be s(-6). Find h, given that 75*h**5 - 110*h**2 - 318*h**3 - 904*h**4 + 1044*h**4 - 12 + 67*h**3 + 245*h - 18 - r*h**3 = 0.
-3, -1, 2/15, 1
Let c(o) be the second derivative of o**4/20 + 69*o**3/10 - 814*o. Factor c(g).
3*g*(g + 69)/5
Let m(l) be the first derivative of -5*l**3/4 - 9755*l**2/8 - 1625*l/2 + 7810. What is f in m(f) = 0?
-650, -1/3
Suppose -44*l = -21*l. Let q(w) be the third derivative of 1/30*w**4 + 1/75*w**5 - w**2 + l + 0*w + 0*w**3. Factor q(b).
4*b*(b + 1)/5
Let x = -223 - -225. Let i be (108/(-90))/(0/4 - x). Factor -i*f**2 - 6/5*f - 3/5.
-3*(f + 1)**2/5
Let k(j) be the second derivative of j**3 - 236*j + 0 + 0*j**2 + 1/50*j**5 + 8/15*j**4. Determine f, given that k(f) = 0.
-15, -1, 0
Let f = -56829 + 113665/2. Determine o, given that f*o + 0 + 1/4*o**2 = 0.
-14, 0
Let p = 1404/241 - 3971/723. Let n be 6/8*6/27. Let p*s**2 + 0*s + n*s**3 + 0 = 0. Calculate s.
-2, 0
Let g be 17 - 7 - 10/2. Let 4*w**5 + 8*w**2 - 8*w**4 - 3*w**g + w**3 - 9*w + 2*w**5 + 5*w = 0. Calculate w.
-1, 0, 2/3, 1, 2
Find g, given that -4/3*g**2 - 1628/3 + 544*g = 0.
1, 407
Let i(a) = a. Let q be i(5). Let b(k) = k**3 - 5*k**2 - 15*k + 9. Let h be b(7). Factor f**q - h*f**4 + f**4 + 2*f**4 - 2*f**5.
-f**4*(f - 1)
Factor 6840 + 158/5*a**2 + 2/5*a**3 + 816*a.
2*(a + 19)*(a + 30)**2/5
Let r(j) be the third derivative of -j**7/42 - 13*j**6/24 - 15*j**5/4 + 125*j**4/24 + 625*j**3/3 - 1085*j**2. Factor r(w).
-5*(w - 2)*(w + 5)**3
Let a be 0 - (5 - (20 + -12)). Let z(w) be the first derivative of -17 + 6*w**2 - 4/3*w**a + 0*w. Factor z(v).
-4*v*(v - 3)
Let p(n) = 254*n - 57655. Let x be p(227). Suppose 0 - 1/3*a**x + 2/3*a**2 + 0*a = 0. What is a?
0, 2
Let v = 1296 + -1331. Let f be 7*(-25)/v - 2. Solve -8/3 - 4*u + 4*u**f + 8/3*u**2 = 0 for u.
-1, -2/3, 1
Let a = 2554097/8 - 319262. Determine j so that -a*j**2 - 45/2*j - 2025/2 = 0.
-90
Let p be (-4 + (-539)/(-42))*-4. Let f = p + 36. Factor 8/9*q**3 + 0 + f*q**2 + 0*q + 2/9*q**4.
2*q**2*(q + 1)*(q + 3)/9
Let b be (2/(-2))/(3/(-15)). Suppose 4*u + 4*u = b*u. Factor 2*a + 3*a**2 + u*a**2 - 20*a + 0*a.
3*a*(a - 6)
Find r such that -114921/2*r + 1017/2*r**2 - 3/2*r**3 + 4328691/2 = 0.
113
Suppose -2*k = -16*q + 14*q, 4*k + 5*q = 18. Let c(l) be the first derivative of 10 + 0*l + 3/10*l**k + 0*l**3 - 3/20*l**4. Suppose c(f) = 0. Calculate f.
-1, 0, 1
What is f in -2039941*f**3 + 137455 - 432367 - 293376*f + 2039939*f**3 + 1534*f**2 = 0?
-1, 384
Let k = -405 - -427. Suppose 21 = k*a - 89. Factor -4/3*x**3 - 2/3*x**a + 2*x + 2/3 - 2*x**4 + 4/3*x**2.
-2*(x - 1)*(x + 1)**4/3
Let h be 3*(-20)/5*(-6)/4. Suppose 0 = 3*t + 3*s - h, -5*s - 14 = -t - 10*s. Factor -15*y**3 + 5*y**t + 10*y**2 - 11 + 11.
5*y**2*(y - 2)*(y - 1)
Let u = -11 + -284. Let c = u + 591/2. What is o in 5/4*o + o**2 + c + 1/4*o**3 = 0?
-2, -1
Let v(a) be the third derivative of 1/490*a**7 + 81*a**2 - 3/140*a**5 + 0*a - 2/7*a**3 - 1/140*a**6 + 1/7*a**4 + 0. Determine z, given that v(z) = 0.
-2, 1, 2
Let l be ((-110)/150)/(276/46 + (-74)/12). Factor -l*g - 4 - 2/5*g**2.
-2*(g + 1)*(g + 10)/5
Let o = 711 + -679. Determine b, given that 0*b**4 - 5*b**4 - o*b + 12*b**3 + 5*b**4 - 24*b**2 + 4*b**4 = 0.
-4, -1, 0, 2
Let b(o) be the third derivative of -o**6/120 + 13*o**5/60 - 23*o**4/12 + 8*o**3 + 3*o**2 + o - 616. Factor b(h).
-(h - 8)*(h - 3)*(h - 2)
Let q be 9/(-12) - 519/12. Let l be 4/q*-14*20/35. Factor -6/11*a**3 - 16/11 - l*a + 20/11*a**2.
-2*(a - 2)**2*(3*a + 2)/11
Let x(r) = -40*r**3 + 113*r**2 - 216*r - 3. Let c(l) = 53*l**3 - 114*l**2 + 216*l + 4. Let q(n) = 3*c(n) + 4*x(n). Factor q(v).
-v*(v - 108)*(v - 2)
Suppose -123*j + 488 + 865 = 0. Let n = -3 + 5. Let -8*m**3 - 5*m**n + 23*m**3 - 5*m**4 + 0*m**2 - j*m + 10 - 4*m = 0. What is m?
-1, 1, 2
Let i = 50150 + -50148. Find c, given that 3 - 15/4*c**i - 3/4*c = 0.
-1, 4/5
Let j = -234 + 238. Determine n so that -2*n**4 + 21*n**2 + 0*n**4 - 11*n**2 - 6*n**3 + n**5 + n**5 - j*n = 0.
-2, 0, 1
Let b(n) be the third derivative of n**8/168 - 2*n**7/105 - 7*n**6/60 + 4*n**5/15 + n**4 + 853*n**2. Solve b(g) = 0.
-2, -1, 0, 2, 3
Suppose -41*f + 30 = -38*f. Factor 2*x**5 + 2*x**2 + 11*x + x**3 + 17*x**3 - 16*x**2 - 2*x - 5*x - f*x**4.
2*x*(x - 2)*(x - 1)**3
Let g(r) be the second derivative of -5/6*r**4 + 0 + 5*r**2 + 20*r - 5/6*r**3. Let h(a) = -9*a**2 - 4*a + 9. Let w(t) = 4*g(t) - 5*h(t). What is q in w(q) = 0?
-1, 1
Suppose 17*q = 39*q - 132. Let 35 - 35*h - q*h**2 + 13 - 13*h - 3*h**2 - 6*h**2 = 0. Calculate h.
-4, 4/5
Factor -901*p**2 - 308*p + p**4 - 458*p**3 - 693*p + 282*p**3 + 277*p.
p*(p - 181)*(p + 1)*(p + 4)
Let l(c) be the second derivative of c**6/30 + 2*c**5/15 + c**4/6 + 49*c**2/2 - c - 30. Let b(g) be the first derivative of l(g). Find w, given that b(w) = 0.
-1, 0
Let u be ((-156368)/(-1276) + -124)/((-3)/11). What is b in 221/6*b + 1/6*b**3 + u*b**2 - 289/3 = 0?
-17, 2
Let p be 1*(-8)/6*30/(-8). Suppose 0 = -5*i - 5*g + 25, -4 - 2 = 3*i - 4*g. Find h such that 5*h**2 - p*h**2 + 2 + 2*h**i + 0*h**2 + 4*h = 0.
-1
Let y(t) be the third derivative of -263*t**5/30 - 2629*t**4/30 + 8*t**3/15 - 101*t**2 + 9. Factor y(i).
-2*(i + 4)*(1315*i - 2)/5
Factor -4775/3*c**2 - 290/3*c + 55*c**3 + 0.
5*c*(c - 29)*(33*c + 2)/3
Let p(v) be the third derivative of 5*v**8/336 - 4*v**7/7 - 55*v**6/24 + 37*v**5/6 + 45*v**4/2 - 260*v**3/3 + 722*v**2 + 1. Find a such that p(a) = 0.
-2, 1, 26
Let h(r) be the third derivative of -1/3*r**3 + 1/120*r**6 - 1/24*r**4 + 1/20*r**5 - 5*r**2 - 1/210*r**7 + 0*r - 5. Factor h(u).
-(u - 2)*(u - 1)*(u + 1)**2
Let r(k) be the first derivative of k**6/540 - 17*k**5/270 + 20*k**4/27 - 64*k**3/27 - 61*k**2/2 + 71. Let l(p) be the second derivative of r(p). Factor l(u).
2*(u - 8)**2*(u - 1)/9
Let m = 629518 + -2518067/4. Suppose 5/4*h**2 - 5/2 + m*h = 0. What is h?
-2, 1
Let m = -102 + 841. Let v = -2215/3 + m. Solve -1/3*y**3 + v*y - 1/3*y**2 + 0 = 0.
-2, 0, 1
Determine b, given that 0 - 1/5*b**5 + 3/5*b**3 + 0*b**2 + 2/5*b**4 + 0*b = 0.
-1, 0, 3
Let v(i) be the third derivative of -i**5/60 + 149*i**4/12 - 8*i**2 + 271. Find r, given that v(r) = 0.
0, 298
Let g(s) be the third derivative of -3*s**3 + 0 - s**4 - 13/120*s**5 + 0*s - 23*s**2 - 1/240*s**6. Let g(n) = 0. What is n?
-6, -1
Let g(q) be the third derivative of -q**5/120 - 7*q**4/8 + 45*q**3/4 - 3*q**2 - 1605. Let g(b) = 0. Calculate b.
-45, 3
Let h = -50530/39 + 16904/13. Suppose -h - 2/3*i**2 + 29/3*i = 0. What is i?
1/2, 14
Let i(u) = 6*u**2 - 58*u + 174. Let z(j) = -j**2 - j + 1. Let v(k) = i(k) + 2*z(k). Factor v(o).
4*(o - 11)*(o - 4)
Suppose 293*p - 283*p - 4000 = 0. Let z(q) be the first derivative of -p*q - 21 - 4/3*q**3 + 40*q**2. Find h such that z(h) = 0.
10
Factor 4470*m**2 + 673*m**3 + 300642*m - 857154*m + 369024 - 682*m**3.
-3*(m - 248)**2*(3*m - 2)