- 2387*v**6/8 - 5929*v**5/10 - 8605*v**2. Find w, given that x(w) = 0.
-308, -1, 0
Factor 4/5*a**4 + 76/5*a**3 + 1008/5*a + 0 + 96*a**2.
4*a*(a + 6)**2*(a + 7)/5
Factor -6*q**4 + 50*q**2 + 7*q**4 + 10*q**3 + 778*q**2 + 1640*q + 1388 + 132*q**3 - 300.
(q + 2)**3*(q + 136)
Suppose 1006*s - 1042*s - 5 + 5 = 0. Factor 48/5 + 3/5*c**5 - 48/5*c**2 + s*c - 12/5*c**3 + 9/5*c**4.
3*(c - 2)*(c - 1)*(c + 2)**3/5
Let m(q) = 17*q**3 + 104*q**2 + 2274*q + 3960. Let s(b) = 14*b**3 + 83*b**2 + 1820*b + 3168. Let d(t) = 9*m(t) - 11*s(t). Let d(k) = 0. What is k?
-11, -2, 36
Let b(r) be the second derivative of r**4/18 + 17*r**3/9 - 200*r**2/3 - 82*r - 10. Factor b(a).
2*(a - 8)*(a + 25)/3
Let x(l) be the second derivative of l**4/4 + 57*l**3/2 + 84*l**2 - l + 578. Factor x(m).
3*(m + 1)*(m + 56)
Let f(i) = 2*i**4 + 20*i**3 - 17*i**2 + 37*i - 29. Let k = -176 - -182. Let r(v) = v**4 + 9*v**3 - 8*v**2 + 18*v - 14. Let g(u) = k*f(u) - 13*r(u). Factor g(s).
-(s - 2)**2*(s - 1)*(s + 2)
Suppose -2*x = -0*x + 4*q - 32, 0 = 4*x - 3*q - 9. Determine w, given that -4*w**2 - 2*w + 5*w**2 - x*w**4 - 9*w**3 + 7*w**4 - 10*w**2 + 3*w**5 = 0.
-1, -1/3, 0, 2
Let m(c) be the first derivative of 0*c**2 - 15 - 1/30*c**4 + c + 2/5*c**3. Let i(s) be the first derivative of m(s). Factor i(b).
-2*b*(b - 6)/5
Let n(c) = 9*c**2 - 1106*c - 304706. Let l(u) = 41*u**2 - 4425*u - 1218825. Let i(a) = 2*l(a) - 9*n(a). Factor i(d).
(d + 552)**2
Let g(x) be the third derivative of 1 + 0*x + 44*x**2 + 1/20*x**5 - 11/2*x**3 + 5/4*x**4. Let g(v) = 0. What is v?
-11, 1
Suppose 3*y + 20 = 3*k - 13, 8 = 2*y. Factor -96*d**2 + 2*d**4 - 18 - 392*d - d**4 + 30*d**3 + 490*d - k.
(d - 1)**3*(d + 33)
Let l(t) be the first derivative of 2*t**5/15 + t**4/3 - 64*t**3/9 + 10*t**2 + 42*t + 116. Factor l(i).
2*(i - 3)**2*(i + 1)*(i + 7)/3
Let u(o) = 2*o**2 - 714*o - 60. Let h(n) = -25*n**2 + 8570*n + 700. Let p(j) = -3*h(j) - 35*u(j). Let p(g) = 0. Calculate g.
0, 144
Suppose m = -2*m + 4*q - 86, -5*m = 2*q + 100. Let a = m + 25. Factor -9*s**3 + a*s**3 - 10*s + s**3 + 15*s**2.
-5*s*(s - 2)*(s - 1)
Let j(t) = t**3 + t**2 + t. Let w(o) = 7*o**3 - 3*o**2 - 15*o - 3. Let h(a) = 6*j(a) - w(a). Let y(x) be the first derivative of h(x). Factor y(g).
-3*(g - 7)*(g + 1)
Let o(g) = 7*g + 79. Let s be o(-15). Let p(k) = 17*k**2 + 83*k + 563. Let r(l) = 4*l**2 + 21*l + 141. Let c(q) = s*r(q) + 6*p(q). Let c(x) = 0. What is x?
-12
Let f(v) = v**3 + 2*v**2 + v + 2. Let r(i) = -4*i**3 - 232*i**2 + 408*i - 16. Let j(n) = 8*f(n) + r(n). Factor j(o).
4*o*(o - 52)*(o - 2)
Let x(l) = -l**3 - 7*l**2 - 10*l + 4. Let u be x(-5). Suppose t = -4*d + 5, -5*t - 5 = u*d + d. Factor 4*y**2 + 0*y**d + 4*y + 0*y**2 - 8*y**2.
-4*y*(y - 1)
Suppose 24 = 2*t - 4*o, 18*t + 36 = 21*t - 4*o. Factor -t*l + 1 + 34*l - 4 - 10*l**3 - 8*l**2 - 1.
-2*(l - 1)*(l + 2)*(5*l - 1)
Let x(j) be the first derivative of -2*j**7/105 - 2*j**6/15 - j**5/3 - j**4/3 + 68*j**2 - 82. Let o(t) be the second derivative of x(t). Factor o(l).
-4*l*(l + 1)**2*(l + 2)
Let f(m) = -3*m**2 - 4*m. Let b(o) = -14*o**2 + 24*o**2 - 6*o + 1 - 14*o**2. Let p(y) = 4*b(y) - 3*f(y). Determine h so that p(h) = 0.
-2, 2/7
Let z(s) be the third derivative of 0*s + 1/156*s**4 + 1/52*s**6 + 1/105*s**7 + 1/546*s**8 + 0 + 32*s**2 + 7/390*s**5 + 0*s**3. Suppose z(u) = 0. What is u?
-1, -1/4, 0
Let j(r) = -3749*r - 157454. Let n be j(-42). Find g, given that 0 - 8/7*g**2 - 2/7*g**n + 0*g - 10/7*g**3 = 0.
-4, -1, 0
Let z be (8*(-874)/9936)/((-2)/12). Factor 0 - 4/9*v**3 + 0*v + 0*v**2 + 14/3*v**5 + z*v**4.
2*v**3*(v + 1)*(21*v - 2)/9
Let f(w) be the second derivative of w**7/630 + w**6/36 - 7*w**5/15 - 67*w**4/6 - 13*w + 3. Let m(y) be the third derivative of f(y). Solve m(c) = 0 for c.
-7, 2
Find z, given that -11520 - 60*z**4 + 16608*z - 5916*z**2 + 1773/2*z**3 + 3/2*z**5 = 0.
1, 8, 15
Let r(x) be the third derivative of 15*x**3 + 154*x**2 - 125/24*x**4 + 1/2*x**5 + 0 + 0*x + 1/24*x**6. Factor r(n).
5*(n - 2)*(n - 1)*(n + 9)
Let s(h) be the third derivative of 0 - 2*h**2 - 1/36*h**4 - 1/6*h**3 + 1/180*h**5 + 5*h. Factor s(i).
(i - 3)*(i + 1)/3
Let p(z) be the first derivative of -z**8/560 + z**6/40 - z**5/20 + 13*z**3/3 + 3. Let o(q) be the third derivative of p(q). Factor o(f).
-3*f*(f - 1)**2*(f + 2)
Let m(p) be the first derivative of -p**6/90 + 16*p**5/5 - 384*p**4 - 34*p**3/3 - 2*p - 164. Let r(b) be the third derivative of m(b). Solve r(l) = 0 for l.
48
Let c be -27 - (-360)/(-105) - -31. Find j such that c*j**2 + 68/7 - 72/7*j = 0.
1, 17
Let z(y) be the first derivative of 23 + 0*y**3 + 0*y**2 - 3/2*y**4 + 7/5*y**5 + 0*y - 1/6*y**6. Factor z(k).
-k**3*(k - 6)*(k - 1)
Let y = 4 - 7/2. Let a be (-6 - 0)/(30/(-10)). Factor 1/2 - 1/4*c**3 - y*c**a + 1/4*c.
-(c - 1)*(c + 1)*(c + 2)/4
Let s(p) be the second derivative of 75*p**2 + 10 + 1/18*p**4 + 4*p + 10/3*p**3. Factor s(r).
2*(r + 15)**2/3
Let k(s) be the first derivative of s**3 - 6*s**2 - 756*s + 1559. Find f, given that k(f) = 0.
-14, 18
Let y(c) = 5*c**2 + 20606*c + 21217844. Let g(f) = -f + 26. Let a(r) = -6*g(r) - y(r). Solve a(k) = 0.
-2060
Suppose -3*v - r = -11 - 2, -5*v + 19 = -r. Solve -36*w**2 + 9*w**5 - 20*w**v + 14*w**2 + 20*w**2 + 13*w**3 = 0 for w.
0, 2/9, 1
Let f(b) be the third derivative of 0 + 0*b**3 + 1/44*b**4 + 1/330*b**5 + 0*b - 52*b**2. Determine a, given that f(a) = 0.
-3, 0
Let r(n) be the third derivative of 7/20*n**5 - 1/70*n**7 + 0*n**3 + 1/20*n**6 - 71*n**2 + 0 + 1/2*n**4 + 0*n. Factor r(w).
-3*w*(w - 4)*(w + 1)**2
Let x(o) be the second derivative of 1/3*o**3 + 2*o + 22 + 1/6*o**4 - 6*o**2. Factor x(g).
2*(g - 2)*(g + 3)
Let r(i) = -90*i - 412. Let q be r(-8). Let j be 11/(q/288) + -10. Determine h, given that 0*h + 0 - 12/7*h**2 - j*h**3 = 0.
-6, 0
Determine n so that 46/5*n - 3 - 3/5*n**2 = 0.
1/3, 15
Let d(q) be the second derivative of 5/12*q**4 + 92*q - 5/3*q**3 + 3 - 20*q**2. Find g, given that d(g) = 0.
-2, 4
Let z be (-15)/78*(-26)/65. Let c(g) be the first derivative of 8/65*g**5 - 7 - 9/26*g**4 + 0*g - z*g**2 + 4/13*g**3. Let c(d) = 0. Calculate d.
0, 1/4, 1
Let z(r) be the second derivative of 41*r**5/70 + r**4/42 + 50*r + 5. Find s, given that z(s) = 0.
-1/41, 0
Let u(q) = -2*q**2 - 10*q + 14. Let t be u(-6). Suppose 2*c + 18 = n - t*c, c = -2*n. Factor -217*b - 3 + 223*b - 5 + n*b**2 + 0.
2*(b - 1)*(b + 4)
Let g be ((-28)/(-21))/(10/6). Let i = 328 + -325. What is x in 0*x + 0*x**i + 2/5*x**5 + 0 + 0*x**2 - g*x**4 = 0?
0, 2
Let h = -47 + 60. Suppose 10*p - h*p = -6. Factor -19 + 4*s**p + 19 - 4*s.
4*s*(s - 1)
Suppose -4*h = -8*h + 2076. Let y be h/132 + (-8)/44. Factor -3/4*l**3 - y*l**2 + 9/2*l + 0.
-3*l*(l - 1)*(l + 6)/4
Suppose 2*n + 5*d - 1 = -3, -5*d - 30 = -5*n. Factor -23*k**3 - 60*k**2 - 28*k + 12*k**3 - 25*k**3 + 0*k**n - 4*k**4.
-4*k*(k + 1)**2*(k + 7)
Let f(a) be the second derivative of -a**7/21 + 82*a**6/15 - 1681*a**5/10 + 3*a - 407. Factor f(q).
-2*q**3*(q - 41)**2
Let x be 1/(((-28000)/60)/25 + 19). Let 9/4*s**2 - 1/4*s**x - 9/2*s + 0 = 0. What is s?
0, 3, 6
Let w = 114586/206271 + 1/22919. Determine g so that 0 + w*g**2 - 4/9*g - 1/9*g**3 = 0.
0, 1, 4
Let a(x) be the first derivative of -x**2 + 12*x - 3*x**3 - 1/10*x**5 + 9/8*x**4 - 57. Solve a(s) = 0.
-1, 2, 6
Let -1404/5*i - 1401/5 - 3/5*i**2 = 0. Calculate i.
-467, -1
Let d = 1806 + -1752. Let b be d/(-81) + (-8)/(-6). Factor 8/9*z + 2/9*z**2 + b.
2*(z + 1)*(z + 3)/9
Suppose 1385*h - 1383*h = 10. Let y = 73/207 - 3/23. Factor -2/9*s**3 + 2/9*s**h - 2/9*s**4 + 0 + y*s**2 + 0*s.
2*s**2*(s - 1)**2*(s + 1)/9
Let u(c) be the second derivative of -c**4/12 + 69*c**3/2 + c - 3233. Determine h, given that u(h) = 0.
0, 207
Let u = 1191/5036 - -17/1259. Factor -b + 0 - b**2 - u*b**3.
-b*(b + 2)**2/4
Determine t, given that 1504*t**2 - 751*t**2 - 225*t - 754*t**2 - 160*t = 0.
-385, 0
Let u be -7*((-276)/(-84) + -4). Let i(q) be the third derivative of 0*q + 16*q**2 - 1/120*q**u + 1/3*q**3 + 1/16*q**4 + 0. Factor i(r).
-(r - 4)*(r + 1)/2
Let i(u) = -u**2 + 14*u - 40. Let y be i(9). Suppose -o + t - 21 = -y*o, -3*o = -t - 14. Determine g, given that -23 - o*g**2 + 5 + 0*g - 7 - 30*g = 0.
-5, -1
Suppose -326*k + 540 = -56*k. Let y(b) be the first derivative of 452/3*b**3 - 4*b**k - 12 - 48*b + 14*b**5 - 179/2*b**4. Determine x, given th