 10*i - 448. Let q = 77 - i. Factor -2/3*m - 2/3*m**2 + 2/3*m**q + 0 + 2/3*m**4.
2*m*(m - 1)*(m + 1)**2/3
Let c be 1/((-8)/32) + 37/9. Let y(g) be the third derivative of 625/9*g**3 + 0*g + 1/315*g**7 + 12*g**2 + 0 + 5/3*g**5 + 125/9*g**4 + c*g**6. Solve y(l) = 0.
-5
Suppose -4*s = -3*c + 72, -c - 29 = 3*s + 3*c. Let h = 46/3 + s. Factor -u**4 + 0*u + 0 - h*u**2 + u**3 + 1/3*u**5.
u**2*(u - 1)**3/3
Suppose -304 = -4*k - 4*f + 5*f, 5*f + 245 = 3*k. Let p be 0 - 2/(5/(k/(-10))). Factor 1/2*d**4 + 0*d + 1/2 - d**2 + 0*d**p.
(d - 1)**2*(d + 1)**2/2
Suppose 0 = 2*y - 8 + 2. Determine s so that 7 - 1 - y - 19 - 44*s - 10*s**2 = 0.
-4, -2/5
Let j(g) = -13*g**3 + 10*g**2 + 12*g + 5. Let c(s) = 4*s + 2. Let b be c(-4). Let y(l) = l**3 - l**2 + l + 1. Let d(u) = b*y(u) + 2*j(u). Factor d(m).
-2*(m - 1)*(4*m - 1)*(5*m + 2)
Suppose -17 + 0 = -h - o, 0 = -2*h - 5*o + 49. Let n be 5*(h/105 - 0). Determine g, given that 0*g**3 + n*g**2 - 2/7*g**4 + 0*g - 2/7 = 0.
-1, 1
Let r(z) be the second derivative of -z**6/900 + z**4/60 - 8*z**3/3 - 13*z. Let s(y) be the second derivative of r(y). Factor s(o).
-2*(o - 1)*(o + 1)/5
Let x = -4/437 - -7004/1311. Let -2*b**3 - 2*b + x*b**2 - 4/3 = 0. What is b?
-1/3, 1, 2
Suppose -4*i - 3*s - 7 = 0, -2*s = 3*i - 0*i + 4. Factor 13*w**i + 9*w**2 - 26*w**2 - 4*w.
-4*w*(w + 1)
Let i(q) be the second derivative of -q**7/126 + q**6/9 - 37*q**5/60 + 5*q**4/3 - 2*q**3 + 36*q - 1. Factor i(v).
-v*(v - 3)**2*(v - 2)**2/3
What is b in -2/21*b**2 + 4/21*b - 2/21 = 0?
1
Let f = 190 + -188. Let o(x) be the second derivative of 0 + 0*x**3 + 1/20*x**5 - 5*x + 0*x**f + 0*x**4. Determine d so that o(d) = 0.
0
Let h(m) = 3*m + 69. Let x be h(-22). Factor -y**2 + 356*y**3 + x*y - 1 - 355*y**3 - y**2 - y**2.
(y - 1)**3
Let m(q) = -q**3 + 10*q**2 + q - 10. Let c be m(10). Let z be (-91)/260 + 3/5. Factor 1/4*p**3 + c + 0*p + z*p**2.
p**2*(p + 1)/4
Factor -2/7*q**2 - 32258/7 - 508/7*q.
-2*(q + 127)**2/7
Let n(i) be the first derivative of i**7/420 - i**6/60 + i**5/30 + 23*i**3/3 - 8. Let p(s) be the third derivative of n(s). Factor p(t).
2*t*(t - 2)*(t - 1)
Suppose -2*u + 3*g - 60 = 0, -5*u - 3*g = 36 + 135. Let r be u/11 + (-9)/(-2). Factor -3*b**3 + 3/2 + 3/2*b - 3*b**2 + r*b**4 + 3/2*b**5.
3*(b - 1)**2*(b + 1)**3/2
Let q be (60/(-44) - 8 - -9)/(-1). Suppose -2/11*m**3 + q*m**2 + 0*m + 0 = 0. Calculate m.
0, 2
Suppose 0 = -4*a - 12 + 20. Let -8*w**2 + 8*w + 7*w**3 - 2 - 2*w**4 + w**3 - 4*w**a = 0. What is w?
1
Suppose 5*k + 5*b + 5 = 0, -4 - 2 = 3*k + 4*b. Let z be (-6)/8 + (-1510)/(-200) + -6. Factor -z*n**k + 1/5 - 3/5*n.
-(n + 1)*(4*n - 1)/5
Let l be ((-3 - 6/12)*4)/((-20)/6). Factor -l*f**2 + 57/5*f + 18/5.
-3*(f - 3)*(7*f + 2)/5
Suppose -3/4*p**5 - 33/2*p**3 + 6*p**4 + 0 - 27/4*p + 18*p**2 = 0. What is p?
0, 1, 3
Let a be (-302)/(-28) - 4/14. Let p = -28911 + 28931. Let p*t**4 + 0 - a*t**3 - t + 24*t**5 - 15/2*t**2 = 0. What is t?
-1, -1/4, 0, 2/3
Let m = 18177/4 + -4544. Factor -m*h**3 + 2*h + 1/4*h**2 - 3.
-(h - 2)**2*(h + 3)/4
Let s be (-16)/(-18)*2/32*24. Let m(a) be the second derivative of -3*a**2 - 1/6*a**4 + 2*a + 0 + s*a**3. Factor m(b).
-2*(b - 3)*(b - 1)
Let g(h) be the third derivative of 4*h**2 - 1/12*h**5 + 0*h + 1/24*h**6 - 5/24*h**4 + 5/6*h**3 + 0. Factor g(w).
5*(w - 1)**2*(w + 1)
Let h = 2 + -9. Let n be (-1 - h)*1/2. Find g, given that g + 5*g**3 + 0*g**n + 1 + 0*g - 2*g**3 - 5*g**2 = 0.
-1/3, 1
Let u(k) = -1 + 0 - 2 - 10*k**2 + 3*k**3 + 12*k + k**2. Let b(l) = -l**2 + 1. Let r(i) = 3*b(i) + u(i). Find d, given that r(d) = 0.
0, 2
Let q = -16/29 - -2882/493. Determine u so that 82/17*u**2 + 2/17*u**3 + 48/17*u - q*u**4 - 50/17*u**5 + 8/17 = 0.
-1, -2/5, 1
Suppose -50*l = 45*l - 107*l. Let q(n) be the second derivative of -2*n + l + 15/2*n**2 - 10/3*n**3 + 5/12*n**4. Factor q(y).
5*(y - 3)*(y - 1)
Solve -320*i - 5/3*i**2 + 965/3 = 0 for i.
-193, 1
Determine t, given that 33/2*t**3 - 21 + 111/2*t - 99/2*t**2 - 3/2*t**4 = 0.
1, 2, 7
Find u such that 62*u - 9*u**5 + 116*u**4 + 74*u - 28 - 239*u**2 + 64*u**3 - 149*u**4 + 109*u**3 = 0.
-7, 2/3, 1
Let d(p) = 7*p**2 - 17*p + 94. Let t(j) = -2*j**2 + 2*j + 1. Let m(q) = d(q) + 6*t(q). Suppose m(c) = 0. What is c?
-5, 4
Factor -2027*q**3 - 14*q - 14*q + 2022*q**3 + 30*q**2 + 20 - 14*q - 3*q.
-5*(q - 4)*(q - 1)**2
Suppose 2*l + 2*l + 2 = -5*p, p - 3*l = 11. Let n be -10*p/(-22)*1. Suppose 6/11*c + 2/11*c**3 - n*c**2 + 18/11 = 0. What is c?
-1, 3
Let f(g) = -g**2 - 11*g - 14. Let d be f(-9). What is m in -2*m**2 + m**4 + 2*m**4 - 4*m**d - 2*m**3 + 2*m + 3*m**4 = 0?
-1, 0, 1
Let a be 3 + 0 - 2 - -7. Let g(l) = -l + 15. Let y be g(a). Let -4*k + k**2 - 7*k + 4 + y*k = 0. What is k?
2
Let y(q) be the second derivative of -q**6/240 - q**5/120 - 6*q**2 - 12*q. Let d(s) be the first derivative of y(s). Factor d(r).
-r**2*(r + 1)/2
Let j = -635543/426140 + 2308/715. Let p = j + 2/149. Factor -5/4*k + 1/2 - p*k**2.
-(k + 1)*(7*k - 2)/4
Let h be (-2)/((-312)/(-9)) + 1604/5213. Factor 0 + 1/4*b**2 - h*b + 1/4*b**3 - 1/4*b**4.
-b*(b - 1)**2*(b + 1)/4
Let b(r) = r**2 + 23*r + 134. Let a be b(-10). Let 0*p**3 - 1/3*p + 1/3*p**5 + 2/3*p**2 + 0 - 2/3*p**a = 0. Calculate p.
-1, 0, 1
Let d(i) be the third derivative of 0*i + 0 + 12*i**2 - 1/600*i**6 + 1/100*i**5 - 2/15*i**3 + 0*i**4. Let d(o) = 0. What is o?
-1, 2
Let r(w) be the first derivative of 2*w**3/27 - w**2/3 + 107. Factor r(u).
2*u*(u - 3)/9
Let y(s) = -26*s**4 - 110*s**3 - 242*s**2 - 116*s. Let g(m) = 9*m**4 + 37*m**3 + 81*m**2 + 38*m. Let a(x) = -14*g(x) - 5*y(x). Factor a(u).
4*u*(u + 1)*(u + 3)*(u + 4)
Let k(w) be the third derivative of -w**7/840 - 113*w**6/480 - 703*w**5/40 - 12635*w**4/24 + 6859*w**3/3 - 459*w**2. Factor k(h).
-(h - 1)*(h + 38)**3/4
Let b(f) be the third derivative of f**8/840 - 29*f**7/525 + 9*f**6/10 - 14*f**5/3 - 50*f**4/3 + 106*f**2. Solve b(g) = 0.
-1, 0, 10
Factor 213*x**4 + 2*x**3 + 26*x**3 + 51*x**2 - 233*x**4 - 16*x - 19*x**2.
-4*x*(x - 2)*(x + 1)*(5*x - 2)
Let -1/2*n**4 - 9/2*n**2 - 1 + 7/2*n + 5/2*n**3 = 0. Calculate n.
1, 2
Let p(o) be the first derivative of 3*o**5/20 - 3*o**4/16 + 435. Determine v so that p(v) = 0.
0, 1
Let f(s) be the first derivative of -9*s**4/10 + 8*s**3/15 + 28*s**2/5 - 498. Determine j, given that f(j) = 0.
-14/9, 0, 2
Let x(q) be the second derivative of q**6/180 - 67*q**5/120 + 65*q**4/24 - 193*q**3/36 + 16*q**2/3 + 235*q - 1. Solve x(u) = 0.
1, 64
Let g(d) be the first derivative of -15/4*d**4 - 370/3*d**3 - 1200*d**2 - 1440*d + 49. Factor g(a).
-5*(a + 12)**2*(3*a + 2)
Let u be ((-10)/3)/((-9)/27). Suppose 13 = 3*g - j, -2*g - 4*j = -6*j - u. Solve 5*x**4 + 0*x**5 - 3*x**3 - 8*x**g + 3*x**2 + 3*x**5 = 0.
-1, 0, 1
Determine a so that 20*a - 4*a**2 + 33*a + 36 + 72 - 5*a + 8*a**2 = 0.
-9, -3
Suppose 4*s = 8, -4*s + 2*s = 25*l - 129. Determine z so that 0*z**2 + 1/3*z**l + 2/3*z**3 + 0 + 0*z + z**4 = 0.
-2, -1, 0
Suppose 78*h = 81*h - 40923. Let t be 12/(-28) - h/(-77). Factor t*i**4 + 1458/11*i**5 - 270/11*i**3 + 184/11*i - 16/11 - 556/11*i**2.
2*(i + 1)**2*(9*i - 2)**3/11
Let x(v) be the first derivative of -v**7/210 - v**6/120 + v**5/30 + 3*v**2 + 19. Let b(h) be the second derivative of x(h). Factor b(g).
-g**2*(g - 1)*(g + 2)
Let j = -532 - -1598/3. Factor 10/9*x**2 + j - 14/9*x - 2/9*x**3.
-2*(x - 3)*(x - 1)**2/9
Let m(r) = -r**2 - r - 4. Let b(t) = -4*t**2 - 48*t - 188. Let f(a) = -b(a) + 8*m(a). Factor f(k).
-4*(k - 13)*(k + 3)
Factor 1/3*b**3 - 28/3*b**2 + 0 + 0*b.
b**2*(b - 28)/3
Let l(g) be the first derivative of -g**3/27 - g**2/9 + 8*g/3 + 277. Factor l(f).
-(f - 4)*(f + 6)/9
Suppose -6*c - 8 = -10*c. Factor -11*u**3 - 65*u**c - 17*u**4 + 12*u**4 - 31 - 19*u**3 + 11 - 60*u.
-5*(u + 1)**2*(u + 2)**2
Let r(d) be the second derivative of 1/10*d**5 - 30*d + 8/3*d**3 + 4*d**2 + 5/6*d**4 + 0. Suppose r(h) = 0. Calculate h.
-2, -1
Let z(i) be the second derivative of -i**7/168 - i**6/36 + i**5/24 + 5*i**4/12 + 8*i**3/3 + 7*i. Let v(m) be the second derivative of z(m). Factor v(r).
-5*(r - 1)*(r + 1)*(r + 2)
Let s(n) be the second derivative of n**6/45 + 11*n**5/60 + 7*n**4/12 + 8*n**3/9 + 2*n**2/3 - 12*n - 3. Factor s(a).
(a + 1)*(a + 2)**2*(2*a + 1)/3
Let j = -5 + 13. Suppose 24 = x + j. Factor -4*v**4 - 2*v + 2*v - x*v**3 - 16*v**2 + 0*v.
-4*v**2*(v + 2)**2
Suppose