+ 142/(-1)). Factor -163 + 3*v**2 + 322 - x - m*v.
3*(v - 3)*(v - 2)
Let z(i) = 0*i + 5*i - 7*i - 16 + 3*i. Let x be z(21). Factor -v**4 + 8*v + v**5 - x*v + v**2 - 3*v**3 - v.
v*(v - 2)*(v - 1)*(v + 1)**2
Let l(d) be the second derivative of 76*d + 27*d**3 - 9/4*d**4 - 3*d**5 + 0 - 2/5*d**6 + 81/2*d**2. Suppose l(q) = 0. What is q?
-3, -1/2, 3/2
Factor 20*l**3 + 12*l**3 + 4*l**2 - 2*l**5 - 26*l**4 + 38*l**4 - 4*l - 26*l - 16.
-2*(l - 8)*(l - 1)*(l + 1)**3
Suppose 27006 = -51*i + 30*i. Let p = i - -1288. Find a, given that a**2 - 1/2*a**4 - 9/2 + p*a**3 - 6*a = 0.
-1, 3
Find p such that 219*p**3 - 27063*p - 660*p**3 + 217*p**3 + 221*p**3 - 11593 - 564*p**2 - 40301 = 0.
-93, -2
Let 112/5*k**3 - 112/5*k + 2/15*k**4 + 332/15*k**2 - 334/15 = 0. Calculate k.
-167, -1, 1
Let g(v) be the second derivative of v**6/420 - v**5/105 + v**4/84 - 11*v**2/2 + 48*v. Let i(m) be the first derivative of g(m). Factor i(d).
2*d*(d - 1)**2/7
Let k(q) be the third derivative of -q**5/40 + 247*q**4/16 + 249*q**3/2 + 3348*q**2. Solve k(d) = 0 for d.
-2, 249
Suppose -45*a - 36 + 26*a**2 + 31*a**2 - 53*a**2 = 0. Calculate a.
-3/4, 12
Let f(z) be the first derivative of 13 - 1/4*z**4 + 0*z**3 + 3/40*z**5 + 49*z + 0*z**2. Let p(v) be the first derivative of f(v). Factor p(i).
3*i**2*(i - 2)/2
Let z(y) = -y**4 + 14*y**3 + 2*y**2 - y. Let t(m) = 11*m**4 - 376*m**3 - 5077*m**2 - 1414*m + 3300. Let l(c) = t(c) + 2*z(c). Find r, given that l(r) = 0.
-11, -1, 2/3, 50
Let j(d) = 3*d**2 + 551*d - 559. Let q(v) = -2*v**2 - 276*v + 281. Let g(t) = -3*j(t) - 5*q(t). What is y in g(y) = 0?
1, 272
Let y(a) be the second derivative of a**6/30 + a**5/4 - 463*a**4/12 + 907*a**3/6 - 225*a**2 - 6259*a. Let y(v) = 0. What is v?
-25, 1, 18
Let n(j) be the third derivative of -j**5/300 + 131*j**4/120 + 133*j**3/15 - 779*j**2. Factor n(i).
-(i - 133)*(i + 2)/5
Factor -3/4*i**2 - 819/4*i + 2085/2.
-3*(i - 5)*(i + 278)/4
Let d(s) = -s + 11. Let p be d(11). Let o(t) be the first derivative of 5/9*t**3 + 27 - 5/24*t**4 + 0*t + p*t**2 - 1/6*t**5. Factor o(a).
-5*a**2*(a - 1)*(a + 2)/6
Let k(c) = -959*c - 3833. Let f be k(-4). What is i in 0 + 7/3*i**2 + 5/3*i**f + 2/3*i = 0?
-1, -2/5, 0
Let d(m) = 31*m**2 + 620*m + 1268. Let r(j) = -105*j**2 - 2067*j - 4227. Let k(w) = 27*d(w) + 8*r(w). Factor k(h).
-3*(h - 70)*(h + 2)
Let b(w) be the first derivative of -5*w**4/4 + 8*w**3/3 - w**2/2 - 2*w - 1275. Solve b(y) = 0 for y.
-2/5, 1
Suppose 4*g - 744 = 5*n - 784, 80 = 4*g + 5*n. Find c, given that 4/5*c**4 + 1/5*c**g + 0 - 27/5*c**3 + 38/5*c**2 - 16/5*c = 0.
-8, 0, 1, 2
Let q = 2 - -26. Suppose 2*b - q = -f, 153 = 5*f - 7*b + 4*b. Factor 9*w + 51*w**4 + 6*w**2 - 3 + 12*w**2 + 21*w**5 + 48*w**2 + f*w**4 + 114*w**3.
3*(w + 1)**4*(7*w - 1)
Let r(y) be the first derivative of -y**6/40 - 4*y**5/5 - 8*y**4 - 123*y**2 - 156. Let f(p) be the second derivative of r(p). Factor f(m).
-3*m*(m + 8)**2
Let s be 4/(4/25)*(29 + -25). Let k(c) be the first derivative of -20*c**2 + s*c + 4/3*c**3 - 7. Factor k(v).
4*(v - 5)**2
Let z = -3908/3 - -15635/12. Let k be ((-13)/(-4))/(-1) - -4. Let 0*u + 3/4*u**4 + 1/4*u**3 - z*u**5 + 0 - k*u**2 = 0. Calculate u.
-1, 0, 1, 3
Let j(w) be the first derivative of w**3/6 + 49*w**2 + 2560. Factor j(t).
t*(t + 196)/2
Let h(u) be the first derivative of -u + 14 - 1/20*u**4 - 3/50*u**5 + 1/5*u**3 + 0*u**2 + 1/50*u**6. Let g(j) be the first derivative of h(j). Factor g(t).
3*t*(t - 2)*(t - 1)*(t + 1)/5
Let c = 14574 + -14568. Let p(v) be the third derivative of 1/12*v**4 + 0*v - 1/60*v**c - 7*v**2 + 1/630*v**7 + 0 + 2/45*v**5 - 1/2*v**3. Factor p(h).
(h - 3)**2*(h - 1)*(h + 1)/3
Let u(a) be the second derivative of 0*a**3 - 5/42*a**7 + 0*a**4 + 0*a**2 - a**5 + 32*a - 1 + 2/3*a**6. Factor u(z).
-5*z**3*(z - 2)**2
Suppose -132*y**2 - 5099*y**2 + 177395 - 8586*y - 179847 - 913*y**2 - 10*y**3 = 0. What is y?
-613, -1, -2/5
Factor 34*x**3 - 10*x**3 - 2*x**3 - 10*x**3 + 963 + 1929*x + 969*x**2 - 9*x**3.
3*(x + 1)**2*(x + 321)
Factor 7346/9*o**2 + 1040/3*o + 32 + 1058/9*o**4 - 5980/9*o**3.
2*(o - 3)**2*(23*o + 4)**2/9
Let z = 102 + -106. Let c(p) = 3*p**4 - 6*p**3 - 12*p**2 + 4*p - 4. Let i(g) = 2*g**4 - 6*g**3 - 11*g**2 + 3*g - 3. Let v(n) = z*i(n) + 3*c(n). Factor v(l).
l**2*(l + 2)*(l + 4)
What is n in -2/3*n**3 - 10*n**2 + 2/3*n**4 + 6*n + 36 = 0?
-3, -2, 3
Let s(w) = 50*w**3 - 353*w**2 + 1005*w + 11. Let c(z) = -32*z**3 + 235*z**2 - 669*z - 7. Let o(y) = -11*c(y) - 7*s(y). Suppose o(a) = 0. What is a?
0, 3, 54
Suppose 339 = 4*t + 6*m - 7*m, 5*t = -m + 426. Factor 84*q - t*q**2 + 11*q - 20 - 225*q**3 + 25*q.
-5*(q + 1)*(5*q - 2)*(9*q - 2)
Let g(b) be the second derivative of b**6/120 + b**5/360 + 38*b**3/3 - b**2/2 - 10*b. Let n(w) be the second derivative of g(w). Solve n(k) = 0 for k.
-1/9, 0
Let l = -4309 + 25855/6. Let w(i) be the first derivative of 0*i - 6 - l*i**2 + 1/10*i**5 + 1/6*i**4 - 1/18*i**3. Determine k, given that w(k) = 0.
-1, 0, 2/3
Let s(l) be the second derivative of l**7/273 - 11*l**6/195 + 23*l**5/65 - 15*l**4/13 + 27*l**3/13 - 27*l**2/13 - 4755*l. Suppose s(o) = 0. Calculate o.
1, 3
Let y(d) be the second derivative of d**8/840 + d**7/630 - d**6/36 + d**5/15 + 2*d**4 - d**2 - 2*d + 41. Let o(s) be the third derivative of y(s). Factor o(x).
4*(x - 1)*(x + 2)*(2*x - 1)
Let n be (21/(-1) - 14) + 35. Factor 0*p - 2/3*p**2 + n.
-2*p**2/3
Factor -2*t**2 - 538 + 10*t + 758 + 96*t.
-2*(t - 55)*(t + 2)
Suppose 296*n - 305 = 583. Let 19/9*w**2 - 1/9*w**n - 35/9*w + 17/9 = 0. What is w?
1, 17
Suppose 6*x = 6 - 12. Let j(l) = -l**3 + l**2 + 1. Let t(r) = -9*r**3 - 15*r**2 - 12*r + 41. Let c(b) = x*t(b) + 5*j(b). Factor c(o).
4*(o - 1)*(o + 3)**2
Factor -15/2*m**2 - 57/2 + 1/2*m**3 - 73/2*m.
(m - 19)*(m + 1)*(m + 3)/2
Let j(m) be the first derivative of -46/7*m**2 + 1058/7*m + 2/21*m**3 - 42. Factor j(r).
2*(r - 23)**2/7
Let o(z) = 19*z**2 - 55*z - 106. Let b(r) = -24*r**2 + 54*r + 104. Let w(s) = 4*b(s) + 5*o(s). Solve w(p) = 0 for p.
-57, -2
Let t = 251 + -249. Factor -68 + o**3 - 58 - 68 + 17*o + 8*o**t + 204.
(o + 1)*(o + 2)*(o + 5)
Let o(s) = -232*s**2 + 7*s + 4. Let l be o(-1). Let k = l + 237. Find z, given that 0*z**2 + 1/2*z**5 - k*z**4 + 0*z + 2*z**3 + 0 = 0.
0, 2
Let j = 57155 + -57152. Find b such that 1/5*b**j + 0 + 1/5*b**2 - 2/5*b = 0.
-2, 0, 1
Factor -6/5*t**2 + 61/5*t - 1/5*t**3 + 66/5.
-(t - 6)*(t + 1)*(t + 11)/5
Factor -15909 + 14*k**2 - 15*k**2 - 298*k - 6292.
-(k + 149)**2
Let g(l) = -l**2 + l. Suppose -s + 0*p - 10 = -3*p, -s = -5*p + 16. Let x(c) = 21*c**2 + 96*c + 1083. Let a(z) = s*x(z) - 18*g(z). Find w such that a(w) = 0.
-19
Let b(n) be the second derivative of -n**5/4 - 10*n**4 - 125*n**3/2 + 250*n**2 + 71*n - 7. Factor b(y).
-5*(y - 1)*(y + 5)*(y + 20)
Let d be (-441 - -439)*3/(-24). Factor 3/2*h + d*h**2 + 5/4.
(h + 1)*(h + 5)/4
Let z(q) be the third derivative of -2*q**2 + 7/2*q**3 + 0*q - q**4 - 1/70*q**7 + 1/5*q**6 - 12 - 3/10*q**5. Factor z(s).
-3*(s - 7)*(s - 1)**2*(s + 1)
Let w = -107512 + 967613/9. Let d be 18/9 + 0/2. Suppose -w*v - 2/9 - 1/3*v**d = 0. What is v?
-1, -2/3
Let n(k) be the second derivative of k**5/30 - 25*k**4/6 + 74*k**3/9 - 14*k + 71. Determine z, given that n(z) = 0.
0, 1, 74
Let p(l) be the third derivative of -l**8/336 - 47*l**7/210 + 33*l**6/20 - 151*l**5/30 + 203*l**4/24 - 17*l**3/2 - 27*l**2 + 21*l. Find j such that p(j) = 0.
-51, 1
Suppose v = -2*m - 12, 15 - 9 = 2*v - m. Let j(a) be the second derivative of 1/12*a**4 + v + 5/6*a**2 + 4/9*a**3 + 20*a. Factor j(z).
(z + 1)*(3*z + 5)/3
Let t(z) = 5*z**4 + 1. Let n(m) = 14*m**5 - 737*m**4 - 1312*m**3 - 687*m**2 - 106*m - 4. Let c(p) = -n(p) - 4*t(p). Determine b, given that c(b) = 0.
-1, -1/2, -2/7, 0, 53
Let r(a) be the third derivative of 2*a**7/105 - 122*a**6/5 + 59536*a**5/5 - 7263392*a**4/3 - 54*a**2 + 14*a. What is f in r(f) = 0?
0, 244
Let k be 5 + ((-28)/(-12))/((-13)/39) - -2. Let b be 2/4 + 14/20. Factor -2/5*w**5 + 0*w**2 - b*w**4 + k + 0*w - 4/5*w**3.
-2*w**3*(w + 1)*(w + 2)/5
Let c(y) be the first derivative of y - 3/10*y**4 - 1/25*y**5 - 4/15*y**3 + 99 + 3/5*y**2. Find g, given that c(g) = 0.
-5, -1, 1
Find z such that -12 - 110/7*z - 2*z**2 + 2*z**3 + 2/7*z**4 = 0.
-7, -2, -1, 3
Let i be -12*(4 - (-42)/(-12)). Let f(j) = -20*j**3 - 112*j**2 + 41*j - 