 - 2)
Let t(s) be the first derivative of -s**3/6 - 173*s**2/2 + 347*s/2 + 12230. Factor t(w).
-(w - 1)*(w + 347)/2
Let b(r) be the first derivative of r**5/570 - 10*r**4/57 + 400*r**3/57 - r**2/2 - 10*r + 28. Let p(d) be the second derivative of b(d). Factor p(l).
2*(l - 20)**2/19
Let x(p) be the first derivative of 16/33*p**6 + 16/55*p**5 + 0*p + 2/33*p**3 - 30 - 7/22*p**4 + 0*p**2. Determine b, given that x(b) = 0.
-1, 0, 1/4
Suppose -372*f + 121*f**2 + 40*f**2 + 281449 - 25*f**2 - 4*f**3 - 281449 = 0. Calculate f.
0, 3, 31
Let k be (-3)/(-1)*(((-160)/75)/(-8))/((-1328)/(-415)). Factor k*s**4 + 0 - 5/4*s**3 + 2*s + 1/2*s**2.
s*(s - 4)*(s - 2)*(s + 1)/4
Let y(g) = 15*g**2 + 2214*g - 2229. Let p(u) = 3*u**2 + 443*u - 446. Let v(s) = 36*p(s) - 7*y(s). Factor v(t).
3*(t - 1)*(t + 151)
Let l = 158599/2 + -79298. Solve -2*y**2 + 7*y**3 + 0 + l*y**5 + 13/2*y**4 - 4*y = 0.
-2, -1, 0, 2/3
Suppose -72*d + 60*d + 24 = 0. Let p(n) be the first derivative of 19 - 1/18*n**3 - 8/3*n + 2/3*n**d. Determine x so that p(x) = 0.
4
Factor -2552/7*z - 2/7*z**3 - 92*z**2 - 2544/7.
-2*(z + 2)**2*(z + 318)/7
Suppose 33*c = 16*c + 340. Suppose 17*r = 12*r + c. What is f in 2/11*f**r - 8/11*f**3 + 0*f + 0 + 8/11*f**2 = 0?
0, 2
Let g be (-2)/(-6)*-8*54/(-48). Suppose -3*t = g*t + 3*t. Factor -6/7*r + 6/7*r**3 + 3/7*r**4 - 3/7 + t*r**2.
3*(r - 1)*(r + 1)**3/7
Let q(t) be the first derivative of -t**3/3 - 3*t**2/2 + 154. Let d be q(-2). Factor -4/21 - 2/21*j + 2/21*j**d.
2*(j - 2)*(j + 1)/21
Suppose 51*x + 10 = 56*x. Let -8*q + q + q**x + 4*q + 4*q = 0. Calculate q.
-1, 0
Let s(f) be the second derivative of 0 + 108*f + 2/21*f**7 + 2*f**6 + 486*f**2 + 270*f**3 + 90*f**4 + 18*f**5. Factor s(l).
4*(l + 3)**5
Let u = 215918 + -1295491/6. Determine l so that -1/6*l**3 + 27/2 - 21/2*l - u*l**2 = 0.
-9, 1
Let y be (75/125)/(1053/930) + (-2)/9. Determine h so that -2/13*h - 2/13*h**4 - 2/13*h**5 + y*h**3 + 4/13*h**2 - 2/13 = 0.
-1, 1
Let r(a) be the second derivative of -a**6/180 + a**5/15 + a**4 + a**3/3 - 39*a**2/2 - 18*a + 2. Let v(q) be the second derivative of r(q). Factor v(x).
-2*(x - 6)*(x + 2)
Let w(t) be the third derivative of t**8/112 - 61*t**7/35 + 9*t**6 - 179*t**5/10 + 119*t**4/8 - 8435*t**2. Factor w(a).
3*a*(a - 119)*(a - 1)**3
Let z(k) be the third derivative of -73*k**2 + 25/147*k**7 + 0 + 55/21*k**6 - 80/21*k**3 + 0*k - 48/7*k**5 + 148/21*k**4. Factor z(d).
2*(d + 10)*(5*d - 2)**3/7
Find c, given that -88/3 + 1/3*c**2 - 29*c = 0.
-1, 88
Let m = 499878 - 2498861/5. Solve 483/5*s + 9*s**2 + 1/5*s**3 - m = 0.
-23, 1
Let a = 34 - 110. Let k = a - -78. Factor -8*j**3 + 10*j**2 - 13*j**2 + 8*j + 7*j**k - 4*j**4.
-4*j*(j - 1)*(j + 1)*(j + 2)
Factor -60*y - 828 - 28*y - 192 + 60*y**2 + 4*y**3 - 108*y.
4*(y - 5)*(y + 3)*(y + 17)
Solve -2*i**2 - 144*i**3 + 3*i**4 - i**2 + 153*i - 12*i + 3*i = 0 for i.
-1, 0, 1, 48
Let a(h) = -h**3 - 9*h**2 - 25*h - 73. Let c be a(-7). Let f(z) = z**3 - 7*z**2 + 14*z - 5. Let m be f(c). Factor 8/3*l**2 + 0 - 2/3*l**m + 0*l.
-2*l**2*(l - 4)/3
Suppose 2 = 2*u - 2. Let 7*o**2 - 6 - 15*o - 2*o**2 + 4*o**u + 12 = 0. What is o?
2/3, 1
Factor -956/3*p - 2/3*p**2 - 950.
-2*(p + 3)*(p + 475)/3
Let h(m) = -10*m - 38. Let q be h(-4). Factor 37*b + 2*b**3 + 3*b + 0*b**3 + 16 + 18*b**q + 8.
2*(b + 1)*(b + 2)*(b + 6)
Let v(i) be the second derivative of 5*i**7/42 - 2*i**6/3 - 83*i**5/4 + 245*i**4/6 + 5200*i**3/3 + 8000*i**2 + 4*i - 240. What is j in v(j) = 0?
-5, -2, 8
Suppose -5*k - 6 = -p - 2*k, 5*p - 2*k - 4 = 0. Factor x**5 - 2*x**2 - 204*x + 2*x**4 + 204*x + p*x**5 - x**3.
x**2*(x - 1)*(x + 1)*(x + 2)
Let b(h) = -h**3 - 11*h**2 + 22*h - 33. Let c be b(-13). Let i = c + -17. Solve -u - 1/4*u**i + 1/4 + u**3 = 0.
-1, 1/4, 1
Let c(g) be the second derivative of 11*g**7/63 - 376*g**6/45 + 2212*g**5/15 - 9713*g**4/9 + 18029*g**3/9 - 2662*g**2/3 + 2592*g - 2. What is v in c(v) = 0?
2/11, 1, 11
Find h, given that -35*h + 45*h**4 - 81*h**4 - 10 - 5*h**2 + 51*h**4 + 35*h**3 = 0.
-2, -1, -1/3, 1
Let w(o) be the first derivative of -o**6/36 - o**5/3 + 13*o**4/3 - 41*o**3/3 + 51*o**2/4 - 1187. Let w(t) = 0. What is t?
-17, 0, 1, 3
Let s(c) be the second derivative of -5/6*c**3 + 3*c - 3*c**2 + 1 - 1/12*c**4. Factor s(i).
-(i + 2)*(i + 3)
Let u(j) be the second derivative of -j**7/84 - j**6/5 + 3*j**5/2 + 121*j**4/12 + 87*j**3/4 + 45*j**2/2 + 6*j - 82. Let u(s) = 0. Calculate s.
-15, -1, 6
Factor -35*x + 133670 - 203*x - 2*x**2 - 133906.
-2*(x + 1)*(x + 118)
Let n = 20984 + -20980. Solve -2*m - 21/4*m**3 - 2*m**n - 11/2*m**2 - 1/4*m**5 + 0 = 0.
-4, -2, -1, 0
Let t(s) = -2*s**3 + 15*s**2 - 15*s + 2. Let v(k) = -15*k**3 + 64*k + 108 + 120 - 213 - 169*k + 105*k**2. Let c(x) = 20*t(x) - 3*v(x). What is h in c(h) = 0?
1
Suppose 6*a + 35 = 5*b + 11*a, -5*a - 5 = -5*b. Factor -p - 1 - 2*p**2 + 5 - b - 25*p.
-2*p*(p + 13)
Let z(f) be the third derivative of -f**8/5040 + f**7/252 - 5*f**6/144 - f**5/12 + f**4/4 + 3*f**2 - 2. Let p(r) be the third derivative of z(r). Factor p(w).
-(2*w - 5)**2
Let k(l) = 31*l**3 + 5962*l**2 - 3985*l + 689. Let w(r) = 92*r**3 + 17888*r**2 - 11956*r + 2072. Let t(q) = -16*k(q) + 5*w(q). Factor t(g).
-4*(g + 166)*(3*g - 1)**2
Suppose -d = -5*n + 44 - 15, -2*d = 4*n + 16. Factor -3/2*z**2 - 1 - 9/4*z - 1/4*z**n.
-(z + 1)**2*(z + 4)/4
Suppose 2*a - 3 = 3. Let x be (-1 + a)*(-4076)/(-8). Factor -x - 4*s**2 + 1019 - 32*s.
-4*s*(s + 8)
Let d be (-95)/38*(216/(-105) - -2). Let p(j) be the second derivative of d*j**3 + 1/28*j**4 + 14*j + 0 + 0*j**2. Factor p(w).
3*w*(w + 2)/7
Let u be 2 + 2 + 1 - (-28 - -29). Suppose x = -3*c + 5, -7*x = -8*x - u. Factor 8/7 + 6/7*z**2 - 1/7*z**c - 12/7*z.
-(z - 2)**3/7
Let a = 239142/5 - 47828. Let -6/5*p - 8/5 + a*p**2 = 0. What is p?
-1, 4
Let x(w) be the second derivative of -5*w**4/24 - 85*w**3/3 + 1065*w**2/4 - 15*w - 44. Let x(n) = 0. Calculate n.
-71, 3
Let f(z) = -2*z**4 + 18*z**3 - 32*z**2 - 264*z - 348. Let j(c) = 3*c**4 - 20*c**3 + 31*c**2 + 266*c + 355. Let t(r) = -5*f(r) - 4*j(r). Factor t(y).
-2*(y - 5)*(y + 2)*(y + 4)**2
Let u(z) = -z**2 - z + 2. Let d(s) = 4*s - 1 + 0*s + s - 4*s. Suppose 2*t - 22 = 2*c + c, 2*t = 4*c + 26. Let j(p) = c*u(p) + 12*d(p). What is y in j(y) = 0?
-5, 1
Let z(s) = s**2 + s + 2. Let w(b) = 20*b**3 - 5150*b**2 + 1255*b - 50. Let c(o) = w(o) + 25*z(o). Factor c(f).
5*f*(f - 256)*(4*f - 1)
Let k = -4/16511 - -49541/33022. Factor 0*r + 0*r**2 + 3/8*r**5 + 0 - 15/8*r**4 + k*r**3.
3*r**3*(r - 4)*(r - 1)/8
Let z(s) = 9*s**3 - 38*s**2 - 2349*s + 2389. Let a(t) = 7*t**3 - 29*t**2 - 1762*t + 1792. Let u(p) = -11*a(p) + 8*z(p). Factor u(c).
-5*(c - 12)*(c - 1)*(c + 10)
Suppose u - 68 = -z - 3, 0 = -2*z + 4*u + 118. Factor -5*n**2 + 26*n**2 - 18*n + 29*n**2 + 5*n**3 + z*n.
5*n*(n + 1)*(n + 9)
Let q(y) = -y**3 + 4*y**2 - 26*y + 44. Let z be q(2). Factor 0 + 5/3*w**3 + 0*w + z*w**2 + 5/3*w**4.
5*w**3*(w + 1)/3
Find b, given that -93 + 189 + b**3 + 150*b + 43*b**3 + 26*b + 6*b**4 - 322*b**2 = 0.
-12, -1/3, 1, 4
Let z = 586/17 - 49207/1428. Let t(o) be the third derivative of -z*o**4 + 0*o - 1/420*o**5 + 0 + 12*o**2 - 1/42*o**3. Suppose t(g) = 0. Calculate g.
-1
Let q be 12/(-7 - -3) - -8*(-6)/(-8). Let t(v) be the second derivative of 5/2*v**2 + 5/6*v**q - 5/12*v**4 - 31*v + 0 - 1/4*v**5. Factor t(n).
-5*(n - 1)*(n + 1)**2
Let s(z) be the second derivative of z**6/240 + 11*z**5/80 - 3*z**4/4 - 13*z**3/3 + z**2/2 - 29*z. Let v(m) be the second derivative of s(m). Factor v(c).
3*(c - 1)*(c + 12)/2
Let z(c) be the first derivative of -170 - 8/3*c - 37/9*c**3 - 41/6*c**2 - 1/3*c**4. Factor z(l).
-(l + 1)*(l + 8)*(4*l + 1)/3
Let k(y) be the second derivative of 5/36*y**4 + 120*y**2 + 2*y + 8 + 20/3*y**3. What is h in k(h) = 0?
-12
Factor -26*x**2 + 520/3*x + 2/3*x**3 - 248.
2*(x - 31)*(x - 6)*(x - 2)/3
Let i(q) be the second derivative of -q**6/45 + 11*q**5/30 - 5*q**4/2 + 9*q**3 - 18*q**2 + 2*q + 18. Factor i(f).
-2*(f - 3)**3*(f - 2)/3
Let q(t) be the third derivative of 0 - 2*t + 1/10*t**4 + 21*t**2 + 1/100*t**5 - 6/5*t**3. Factor q(v).
3*(v - 2)*(v + 6)/5
Let s(j) = -57*j + 25. Let x be s(-6). Let n = 371 - x. Let -1/3*m**3 + 0 + 0*m**2 - 1/3*m**5 + 0*m + 2/3*m**n = 0. What is m?
0, 1
Let u(i) = i - 9. Let l be u(11). Suppose 5*q = -2*d + 19, -l*d + 4*q = -8 - 20. Find b such 