*2 - 8352*b - 17489175. Let m(d) = 7*d**2 + 16708*d + 34978333. Let z(k) = -5*f(k) - 3*m(k). Factor z(v).
-(v + 4182)**2
Let z = -9 - -11. Let i be (28/(-8) - -3)*(-666)/555. Factor -48/5 - 24/5*u - i*u**z.
-3*(u + 4)**2/5
Suppose 3*j + 0*p + 6 = 3*p, p + 10 = 5*j. Suppose b + 10 = j*g + 2, b - 5*g = -16. Suppose -b - 4 - 8*a**2 + 0*a**2 - 16*a**3 - 4*a**2 + 36*a = 0. Calculate a.
-2, 1/4, 1
Factor 4/5*g**2 - 4/5*g**4 - 4/5*g + 0 + 1/5*g**5 + 3/5*g**3.
g*(g - 2)**2*(g - 1)*(g + 1)/5
Suppose 70*j = 32*j + 190. Let c(w) be the third derivative of -1/30*w**j + 0*w - 1/105*w**7 - 9*w**2 - 1/20*w**6 + 1/4*w**4 + 2/3*w**3 + 0. Factor c(y).
-2*(y - 1)*(y + 1)**2*(y + 2)
Let x(t) be the third derivative of 2*t**7/105 - 13*t**6/5 + 1969*t**5/15 - 2912*t**4 + 100352*t**3/3 + 800*t**2 - t. Find c such that x(c) = 0.
7, 32
Let n(v) be the first derivative of v**4/4 + 2*v**3/3 - v**2/2 - v - 11. Let o(m) = -m**2 + m + 1. Let s(r) = -n(r) - o(r). Factor s(c).
-c**2*(c + 1)
Let t(k) = 153*k - 878. Let q be t(6). Let i(y) be the first derivative of -q*y**2 + 7 - 32*y - 50/3*y**3. Suppose i(v) = 0. What is v?
-4/5
Let z(s) be the second derivative of -3*s**5/80 - 99*s**4/8 - 195*s**3/2 - 291*s**2 - 80*s + 1. Factor z(d).
-3*(d + 2)**2*(d + 194)/4
Let q = -17/9081 + 20197/9081. Factor -16/3 - 2/9*m**2 + q*m.
-2*(m - 6)*(m - 4)/9
Let b(j) = -j + 1. Suppose 0 = -9*d - 80 - 64. Let m(k) = 56*k**2 + 76*k - 12. Let t(s) = d*b(s) - m(s). Factor t(f).
-4*(f + 1)*(14*f + 1)
Let n = -79 - -261. Determine w so that -44*w + 23*w**3 + 21*w**3 + 28*w**2 - 16*w**4 - n + 170 = 0.
-1, -1/4, 1, 3
Let o(m) = 3*m + 82. Let j be o(-26). What is w in 6 + 38*w**2 - 11*w**2 + 2*w - 13*w**3 - 23*w - 2*w**3 + 3*w**j = 0?
1, 2
Factor -2*a**4 + 100*a**3 + 151300*a**2 - 151480*a**2 - 34*a**3.
-2*a**2*(a - 30)*(a - 3)
Let y be ((-1)/(1/(-17)))/(26 - 25). Factor 43 - y*q**2 + 11*q**2 + q**2 - 3*q + 17 - 17*q.
-5*(q - 2)*(q + 6)
Solve 3*c**4 + 130*c**3 + 1480*c**2 + 1246*c**2 + 716*c**3 + 56917*c**2 = 0.
-141, 0
Let y(n) be the first derivative of -3/25*n**5 + 0*n - 8/5*n**3 + 9 + 6/5*n**2 + 3/4*n**4. Solve y(k) = 0.
0, 1, 2
Suppose 0 = -4*d - 3*f + 532 - 524, 3*d + 2*f = 6. Solve 0*o + 5/4*o**3 + 0 + 3/4*o**4 + 1/2*o**d = 0 for o.
-1, -2/3, 0
Let j be 32/30 + 26/(-65). Let g = 1633/3 + -544. Factor g*n**3 + 0*n + j*n**2 + 0 - 1/3*n**4.
-n**2*(n - 2)*(n + 1)/3
Let g(q) = -2*q**4 + 392*q**3 + 11910*q**2 + 118790*q - 131060. Let v(l) = -l**4 + 2*l**3 + l**2 + l + 2. Let d(o) = g(o) - 6*v(o). Factor d(z).
4*(z - 1)*(z + 32)**3
Suppose 38*d + 5*d - 44333 = 0. Factor -451*c**3 - 1940*c**2 - 3200*c - 969 - 105*c**3 - 76*c**4 - 4*c**5 - d.
-4*(c + 2)**2*(c + 5)**3
Let l(m) = 989*m - 11864. Let j be l(12). Determine y, given that 2/21*y**3 - 2/3*y**2 + 4/7 - 2/21*y + 2/21*y**j = 0.
-3, -1, 1, 2
Let y(a) = 4*a**3 - 7*a**2 - 159*a + 318. Let x be y(2). Determine q, given that -44/13*q + 16/13 + 18/13*q**2 + 6/13*q**5 + 38/13*q**3 - 34/13*q**x = 0.
-1, 2/3, 1, 4
Suppose -5*q - 13 + 23 = 0. Let v**4 - 7*v**3 + 5*v**4 + 10*v**3 - 3*v**4 - 6*v**q = 0. What is v?
-2, 0, 1
Factor -21*y**3 + 15*y**4 - y**5 - 3*y**4 - 24*y**2 + 23*y + 11*y**4 + y**4 - y**3.
-y*(y - 23)*(y - 1)**2*(y + 1)
Suppose 5*n = 2*u + 46, -582*u + 580*u - 326 = -33*n. Factor -1/2*t**u + 1/2*t**4 + 0 - 4*t**3 + 4*t.
t*(t - 8)*(t - 1)*(t + 1)/2
Let s be 4 - (1/(1 + 2))/((-5)/(-54)). Let h(a) be the second derivative of 0 + 0*a**2 + 0*a**3 - 1/10*a**6 + 1/3*a**4 - 3/14*a**7 + s*a**5 + 2*a. Factor h(l).
-l**2*(l - 1)*(3*l + 2)**2
Let w be ((-1)/10)/(80/25*1 - 4). Let l(j) be the third derivative of 0 + 0*j**3 - 49*j**2 - w*j**4 - 1/20*j**5 + 0*j. Factor l(o).
-3*o*(o + 1)
Let l(z) be the third derivative of -z**5/120 + 497*z**4/24 - 247009*z**3/12 - 2088*z**2. Determine x so that l(x) = 0.
497
Factor -9*h**2 + 507 + 421*h + 659 + 176*h + 220 - 6*h**2.
-3*(h - 42)*(5*h + 11)
Let g(h) be the third derivative of h**6/144 + 23*h**5/48 + 55*h**4/24 - 43*h**3/6 + h**2 - h. Let k(c) be the first derivative of g(c). What is x in k(x) = 0?
-22, -1
Suppose -1208 = -9*i + 2644. Find h, given that -860*h + i*h + 447*h + 10 + h**2 + 4*h**2 = 0.
-2, -1
Suppose 0 = 4*v - 5*u + 90, 3*v + 21 = 2*v + 2*u. Let p be v/45*(-6)/25. Factor 4/5*z**3 + 4/5*z + p*z**4 + 0 + 22/15*z**2.
2*z*(z + 1)*(z + 2)*(z + 3)/15
Let r(i) = -12*i**4 + 65*i**3 + 300*i**2 + 209*i + 7. Let o(m) = 8*m**4 - 43*m**3 - 200*m**2 - 139*m - 5. Let a(z) = 7*o(z) + 5*r(z). Factor a(j).
-4*j*(j - 9)*(j + 1)*(j + 2)
Let v(j) = 42 + 0*j - 31 - 6*j + j**2. Let d be v(3). Suppose -84*g**5 + 85*g**5 + 2*g**3 - 3*g**4 - d*g**3 + 4*g**2 = 0. What is g?
-1, 0, 2
Let m(h) be the second derivative of 2*h**7/63 + 8*h**6/15 + 37*h**5/15 + 14*h**4/3 + 32*h**3/9 - 7*h + 7. Determine q so that m(q) = 0.
-8, -2, -1, 0
Let z(a) be the second derivative of a**5/5 - 23*a**4/3 + 44*a**3/3 - a - 136. Suppose z(s) = 0. What is s?
0, 1, 22
Let l(x) = -8*x**3 + 1379*x**2 + 473362*x - 1432443. Let o(a) = a**3 - 3*a. Let i(w) = -l(w) - 9*o(w). Let i(m) = 0. Calculate m.
-691, 3
Factor 2054*x**2 - 9446*x - 7054*x - 250*x**3 + 598*x**4 - 302*x**4 - 21780 - 301*x**4 - 5839*x**2.
-5*(x + 3)**2*(x + 22)**2
Let f be 27/(-216) - (-8 + 2422/336). Factor -f*p**3 - 14/3 - 10*p - 6*p**2.
-2*(p + 1)**2*(p + 7)/3
Let p = -1/150164 - -1801979/1651804. What is h in -8/11*h**3 + p*h - 2/11*h**2 + 0 - 2/11*h**4 = 0?
-3, -2, 0, 1
Determine r, given that 2/15*r**2 + 88/5 - 74/15*r = 0.
4, 33
Let z(g) be the first derivative of -36 + 675*g**2 - 30*g**3 + 1/2*g**4 - 6750*g. Solve z(d) = 0 for d.
15
Suppose 101*o = 27*o. Let d(x) be the second derivative of 0*x**2 + 0*x**3 - 1/10*x**6 + 1/4*x**4 - 1/14*x**7 + o + 8*x + 3/20*x**5. What is r in d(r) = 0?
-1, 0, 1
Let a(b) = -b**4 + b**3 - b**2 - 25*b - 1. Let i(j) = -12*j**4 - 117*j**3 - 634*j**2 - 1263*j - 503. Let f(o) = 55*a(o) - 5*i(o). Factor f(q).
5*(q + 1)*(q + 2)**2*(q + 123)
Let s(h) be the second derivative of h**7/70 - h**6/25 - 21*h**5/100 - h**4/5 - 168*h. Suppose s(t) = 0. What is t?
-1, 0, 4
Let p(k) = 299*k + 2. Suppose 3*u = 3*m + 16 + 5, -u = 2*m + 8. Let t be p(u). Factor 16*c**3 - 60*c**2 + 2*c**3 - 20*c**3 - 2000 - t*c.
-2*(c + 10)**3
Suppose -26 = 4*x - 10, 0 = 5*m - 5*x - 185. Let f = 635/19 - m. Solve 2/19*p**2 - f + 8/19*p - 2/19*p**3 = 0.
-2, 1, 2
Factor -106*c**3 + 40*c**4 + c**5 + c**5 + 159*c**3 - 95*c**3.
2*c**3*(c - 1)*(c + 21)
Let z(w) be the first derivative of 0*w - 5/2*w**3 - 3/20*w**5 + 27 + 2*w**4 - 20*w**2. Let f(j) be the second derivative of z(j). Factor f(k).
-3*(k - 5)*(3*k - 1)
Let f be (-18)/(-54)*2/5. Let l = 1876 + -1873. Factor -8/15*g + 8/15 - 2/15*g**2 + f*g**l.
2*(g - 2)*(g - 1)*(g + 2)/15
Let x(s) be the first derivative of -s**3/3 - 5*s**2 + 17*s - 12. Let j be x(-11). Factor 3 + 30*y - j*y**2 + 2*y**2 + 5*y**2 - 26*y.
(y + 1)*(y + 3)
Let i(d) be the first derivative of -d**4/2 - 164*d**3/27 + 179*d**2/9 - 176*d/9 + 1517. Let i(q) = 0. Calculate q.
-11, 8/9, 1
Let m(s) be the second derivative of 0 - 29/27*s**3 + 137*s + 1/45*s**6 - 14/9*s**2 + 1/18*s**5 - 13/54*s**4. Determine x, given that m(x) = 0.
-2, -1, 7/3
Let v be 1/((-3)/9)*(19 + -22). Let t(h) be the third derivative of 0*h - 1/30*h**5 + v*h**2 - 1/6*h**4 + h**3 + 0. Find k, given that t(k) = 0.
-3, 1
Let g(t) be the first derivative of -11*t**4/10 - 67*t**3/15 - 3*t**2/10 - 775. Determine i, given that g(i) = 0.
-3, -1/22, 0
Let o(p) be the third derivative of p**6/300 + 4*p**5/25 - 9*p**4/5 + 112*p**3/15 - 543*p**2. Let o(s) = 0. Calculate s.
-28, 2
Let u = -29834 + 59669/2. Factor -441/2 - 21*q - u*q**2.
-(q + 21)**2/2
Suppose -10*m + 8*m = 56. Let b = m - -10. Let k(v) = -6*v**2 + 19*v - 24. Let r(g) = -21*g**2 + 66*g - 84. Let c(x) = b*k(x) + 5*r(x). Factor c(n).
3*(n - 2)**2
Let c be (-12)/(-1 - (0 + 1)). Suppose -2*b + c = -5*b, -5*b - 14 = -r. Factor -3*g**r + 17*g**4 - 20*g - 10*g**3 + 2*g**4 + 20 - 75*g**2 + 9*g**4.
5*(g - 2)*(g + 1)**2*(5*g - 2)
Factor -35*r**2 - 1148 - 11*r**3 + 608 + 36*r**3 - 440*r.
5*(r + 2)**2*(5*r - 27)
Let d be -7*5/(-45) - (-14)/63. Let a be d/((15/(-10))/((-9)/8)). Factor a*f**2 - 3/8*f - 3/4 + 3/8*f**3.
3*(f - 1)*(f + 1)*(f + 2)/8
Suppose 15 = 35*g - 55. Let y(s) be the second derivative of 0 - 1/3*s**3 - 1/6*s**4 + 0*s**g - 5*s + 1/10*s*