alculate l.
-28, -1, 0, 2
Let j be -8 + (66/21 - -5). Let w(l) be the second derivative of 9*l + 0 - 1/70*l**5 + 1/7*l**2 - j*l**3 + 1/14*l**4. Find a, given that w(a) = 0.
1
Let o = 2077 - 2075. Solve 1/7*y**4 + 12/7*y + 6/7*y**3 + 4/7 + 13/7*y**o = 0 for y.
-2, -1
Let j be ((-24)/(-18))/((-6)/(-9)). Let d(r) be the third derivative of 1/8*r**3 + 0*r - 1/240*r**5 + 1/48*r**4 + 0 + 5*r**j. Suppose d(b) = 0. Calculate b.
-1, 3
Let b be (-8)/(-28) - 172/14. Let h be (b/(-18))/((-2)/(-9)). Find s such that 18*s**2 - 13*s + 32*s - h*s**3 - 46*s = 0.
0, 3
Let p be 4/(-30) - (-1645)/525. Let 0 + 2/13*v**p + 10/13*v**2 + 8/13*v = 0. Calculate v.
-4, -1, 0
Let o = 1 - -1. Suppose 0 = -a, o*h = 2*a + 11 - 3. Solve -2*g**4 - 2*g**2 - g**4 - 2*g**3 - 3*g**h + 2*g + 8*g**4 = 0 for g.
-1, 0, 1
Suppose -c - 2 + 7 = 0. Let m(h) = -14*h - 112. Let z be m(-8). Find q, given that 0 + 1/3*q**2 + 5/3*q**4 + z*q - 4/3*q**3 - 2/3*q**c = 0.
0, 1/2, 1
Let y be -3 + 7 - 7 - -36. Let h be 105/y - (-16)/(-88). Suppose 12/7*m**5 - 3/7*m + 15/7*m**4 - 9/7*m**h + 0 - 15/7*m**2 = 0. Calculate m.
-1, -1/4, 0, 1
Suppose -11*m + 21*m = 40. Let r be (m - (-4)/8) + -4. Factor -1/4*p**5 + r*p**4 + 0*p**2 + 0*p - 1/4*p**3 + 0.
-p**3*(p - 1)**2/4
Let v(h) be the first derivative of 7*h**4/20 - 19*h**3/15 - 3*h**2/5 - 79. What is s in v(s) = 0?
-2/7, 0, 3
Let g(d) = -15*d**2 - 87*d - 185. Let y(o) = 7*o**2 + 43*o + 93. Let x(w) = 3*g(w) + 7*y(w). Find i such that x(i) = 0.
-6, -4
Let y(i) = i**3 + 6*i**2 + 2*i + 16. Let c be y(-6). Factor -10*u**2 + 347*u + 15*u**3 - 347*u + 60*u**c + 35*u**5.
5*u**2*(u + 1)**2*(7*u - 2)
Let 1/2*y**4 + 75 + 101/2*y**2 + 235/2*y + 17/2*y**3 = 0. Calculate y.
-6, -5, -1
Let z(q) be the third derivative of q**7/1680 - q**6/192 + 7*q**5/480 - q**4/64 - 360*q**2. Suppose z(i) = 0. Calculate i.
0, 1, 3
Let v(c) be the third derivative of -c**7/420 - c**6/80 + c**4/12 + 20*c**2 + 4. Factor v(o).
-o*(o - 1)*(o + 2)**2/2
Let n(z) = -17*z**2 + 33*z + 9. Let b(o) be the second derivative of 2/3*o**4 - 2*o**2 + 0 - 8/3*o**3 - 6*o. Let v(m) = -9*b(m) - 4*n(m). Solve v(k) = 0.
0, 3
Suppose 6*d = 2*d - 8. Let h be (15/(-1))/(-3) + d. Factor -3*a**2 + h*a - 31 + 31.
-3*a*(a - 1)
Let r(h) be the first derivative of -175*h**6/6 - 234*h**5 - 2665*h**4/4 - 830*h**3 - 470*h**2 - 120*h - 90. Solve r(v) = 0.
-3, -2, -1, -2/5, -2/7
Factor -2/7*z**2 + 0 + 46/7*z.
-2*z*(z - 23)/7
Let n(d) be the second derivative of -d**4/48 + 3*d**3/8 - 5*d**2/2 + 11*d - 1. What is j in n(j) = 0?
4, 5
Let g(h) = -2*h - 20. Let a be g(-11). Solve 2 - t + t**4 - t**3 + 2*t**3 - t**2 - t**a - t**2 = 0.
-2, -1, 1
Suppose -4*a + 7 = 3. Let m(y) = y - 1. Let g(s) = -s**2 - 2*s + 6. Let n(o) = a*g(o) + 2*m(o). Factor n(f).
-(f - 2)*(f + 2)
Factor -72/7 + 38/7*y**2 - 680/7*y.
2*(y - 18)*(19*y + 2)/7
Factor 1/3*f**2 + 4/3*f + 1.
(f + 1)*(f + 3)/3
Suppose 66*q + 3*r = 69*q - 6, 3*q - r = 6. Factor -8/11*f + 5/11*f**q + 4/11 - 1/11*f**3.
-(f - 2)**2*(f - 1)/11
Let x(p) be the first derivative of -p**5/70 - p**4/14 - p**3/7 - p**2/7 - 9*p + 30. Let a(o) be the first derivative of x(o). Determine b so that a(b) = 0.
-1
Let y = -56 - -135. Let j = y + -155/2. Factor -j*z**3 - 3*z - 9/2*z**2 + 0.
-3*z*(z + 1)*(z + 2)/2
Let b(m) be the first derivative of -4*m**3/15 + 36*m**2/5 - 324*m/5 - 60. Determine d so that b(d) = 0.
9
Let j(c) = -234*c + 940. Let a be j(4). Determine g, given that 0 + 3/2*g**3 - g**2 + 0*g - 1/2*g**a = 0.
0, 1, 2
Let 0*z - 4/7*z**3 + 0 + 8/7*z**2 = 0. What is z?
0, 2
Suppose 0 = -25*k + 29*k + t - 20, 5*k - 28 = -2*t. Factor 2/9*o**k + 0*o + 2/9*o**5 + 2/3*o**2 - 10/9*o**3 + 0.
2*o**2*(o - 1)**2*(o + 3)/9
Let m(j) = -j**2 - 7*j + 5. Let x be m(-6). Let p = x + -9. Solve h**p + 3 - h**4 + 5*h**3 - 4*h + 0*h**4 - 7 + 4*h**2 - h**5 = 0.
-2, -1, 1, 2
Let w = 12 + -32. Let x be w/15*(-6)/4. Determine h, given that h**3 + h - 7*h**5 + 5*h**2 + 3*h**5 - 5*h**4 + x*h**3 = 0.
-1, -1/4, 0, 1
Let b = 29/138 - 1/23. Let o(u) be the second derivative of -u + 1/40*u**5 + 5/12*u**3 - b*u**4 + 0 - 1/2*u**2. Suppose o(f) = 0. Calculate f.
1, 2
Let m be (-1 + -2)*3/(-6 - -3). Let q be ((-3)/5)/(m*(-5)/45). Factor -q*c**2 + 3/5*c**4 + 6/5 + 3/5*c**3 - 3/5*c.
3*(c - 1)**2*(c + 1)*(c + 2)/5
Let m(u) = 5*u**3 - 22*u**2 + 15*u - 10. Let x(b) = -2*b - 1. Let n(v) = 3*m(v) - 12*x(v). Factor n(o).
3*(o - 3)*(o - 1)*(5*o - 2)
Let y(i) be the first derivative of i**4/42 - 20*i**3/63 + 16*i**2/21 - 588. Solve y(w) = 0.
0, 2, 8
Let q be 14/(-2 + (-4)/(-4)). Let i(w) = 154*w**3 - 440*w**2 + 192*w - 24. Let h(m) = 51*m**3 - 147*m**2 + 64*m - 8. Let l(v) = q*h(v) + 5*i(v). Factor l(k).
2*(k - 2)*(4*k - 1)*(7*k - 2)
Suppose -2*o - 1 = -2*g - 3, -2 = o - 4*g. Suppose 0 = -v + 4*h - 2*h + 4, -5*h = 5. Factor 20*n**o + n**5 - 2*n**3 - 20*n**v + n.
n*(n - 1)**2*(n + 1)**2
Let y be ((-1222)/24)/(-13) - 18/(-216). Let g(c) be the second derivative of 0 - 1/3*c**3 + 1/36*c**y + 3/2*c**2 + c. Solve g(d) = 0.
3
Suppose 4*s = 2*y - 24, -5*y = -4*y - 5*s - 12. Determine t, given that t - 4*t + y*t**3 + 4*t**2 + 0*t - 4*t**4 - 5*t - 4*t**5 = 0.
-2, -1, 0, 1
Let 0*m + 0 + 2/5*m**3 + 2/15*m**2 = 0. Calculate m.
-1/3, 0
Let i(u) = -u**2 - 2*u. Let x be i(-6). Let k = x - -26. Factor 2*r + 7*r + k + 6*r**2 - 17*r**2.
-(r - 1)*(11*r + 2)
Let z be (-9)/(-6) + (-34)/(-4). Let u(q) = q**2 - 11*q + 12. Let s be u(z). Find a such that 2*a + 6*a**2 - 3*a - 5*a**s = 0.
0, 1
Suppose -2*q - 21 = -3. Let z be (6/(-4))/(q/18). Factor s**2 + 9*s**3 - 7*s**3 - z*s**2.
2*s**2*(s - 1)
Suppose -4*r + c = -c - 24, -2*r - 3*c + 20 = 0. Suppose v = 3*a - 4*a + r, 4*a - 2*v = -2. Factor 3*b**3 + 3*b**a - 25 + b + 25 + b**4.
b*(b + 1)**3
Let f(l) = 11*l - 429. Let p be f(39). Let t(y) be the second derivative of 7/36*y**4 + 7*y + p - 1/2*y**3 + 1/3*y**2. Factor t(b).
(b - 1)*(7*b - 2)/3
Let b = -23 + 31. Suppose -b = 11*f - 41. Solve -3/2*w**f + 6*w + 6 - 3/2*w**2 = 0 for w.
-2, -1, 2
Factor -7*v**2 + 21/4*v - 3/4*v**3 + 5/2.
-(v - 1)*(v + 10)*(3*v + 1)/4
Let x(p) be the first derivative of -3*p**5/5 + 51*p**4/4 - 61*p**3 - 351*p**2/2 + 486*p - 49. Suppose x(j) = 0. What is j?
-2, 1, 9
Let l(k) = -25*k**2 + 10*k + 56. Let a(n) = 12*n**2 - 6*n - 27. Let m(b) = -7*a(b) - 3*l(b). Factor m(g).
-3*(g + 1)*(3*g - 7)
Let g(k) = k**2 + 54*k - 120. Let l(s) = 10*s**2 + 485*s - 1080. Let m(v) = -35*g(v) + 4*l(v). Factor m(a).
5*(a - 2)*(a + 12)
Let r(n) = 9*n**2 - 5*n - 9. Let p(t) = 10*t**2 - 6*t - 10. Suppose 0 = y + 4 + 1. Let c(q) = y*p(q) + 6*r(q). Factor c(v).
4*(v - 1)*(v + 1)
Let j(w) = w**2 + 26*w + 147. Let o be j(-18). Let c(f) be the third derivative of -1/2*f**4 + 0*f + 4/3*f**o + 0 + 2*f**2 + 1/15*f**5. Factor c(y).
4*(y - 2)*(y - 1)
Suppose 0 = -16*k + 31*k. Factor 6/7*z**3 + 3/7*z**2 + k - 3/7*z.
3*z*(z + 1)*(2*z - 1)/7
Let m be ((-1 - 2 - -3) + 0/16)/1. Let i = 198 + -389/2. Find u such that m + i*u**3 + 0*u + u**4 - u**2 - 7/2*u**5 = 0.
-1, 0, 2/7, 1
Let z(j) = 2*j + 4*j**3 - 645*j**4 + 638*j**4 - 2 + 6*j**2 - 3. Let x(o) = 6*o**4 - 3*o**3 - 5*o**2 - 2*o + 4. Let k(i) = 6*x(i) + 5*z(i). Factor k(g).
(g - 1)*(g + 1)**3
Let i be ((-8)/14)/((-10)/70). Let r be 2/(-2 - 18/(-3)). Factor 5/3*z + 1/6*z**i + 2*z**2 + r + z**3.
(z + 1)**3*(z + 3)/6
Let v be 87/(-7) - (10 - 22) - 17/(-7). Factor 2/3*a**3 + 0 + 8/3*a - 8/3*a**v.
2*a*(a - 2)**2/3
Factor 31*i + 72 + 34*i - 58*i**3 + 19*i + 54*i**3 + 8*i**2.
-4*(i - 6)*(i + 1)*(i + 3)
Let b(t) be the first derivative of -2*t**3/3 + 11*t**2 - 56*t + 81. Find n such that b(n) = 0.
4, 7
Let u(x) = -55*x**3 - 95*x**2 + 115*x + 515. Let z(c) = 9*c**3 + 16*c**2 - 19*c - 86. Let q = -18 - 7. Let m(w) = q*z(w) - 4*u(w). Solve m(p) = 0 for p.
-3, 2
Let i(y) be the first derivative of y**5/16 - 5*y**3/8 + 5*y**2/4 + 5*y - 5. Let w(m) be the first derivative of i(m). Factor w(v).
5*(v - 1)**2*(v + 2)/4
Let m be 3/4*(-168)/(-189). Let a(q) be the first derivative of 2/5*q**5 + 4 + q**2 - 1/2*q**4 + 0*q - m*q**3. Find t such that a(t) = 0.
-1, 0, 1
Let l(v) be the first derivative of 11*v**2 - 8/3*v**3 - 1/2*v**4 + 15 - 12*v. Determine i, given that l(i) = 0.
-6, 1
Let z(k) be the second derivative of -k**5/180 + k**4/36 + 4*k**2 - 18*k. Let g(j) be the first derivative of z(j). What is m in g(m) = 0?
0, 2
Let o(z) b