erivative of n(f). Factor y(x).
5*(x - 2)*(x + 1)
Find v, given that 3543/5 - 3/5*v**4 + 2124*v**2 - 3534/5*v**3 - 10626/5*v = 0.
-1181, 1
Let a(g) be the second derivative of 0*g**3 - 2/147*g**7 + 1/10*g**5 - 1/7*g**4 + 11/105*g**6 + 19*g + 0*g**2 + 2. Let a(u) = 0. What is u?
-1, 0, 1/2, 6
Let m = 129097/48390 + -19/16130. Solve -92/3 + 28*k + m*k**2 = 0.
-23/2, 1
Let t(j) = -j**2 + 9*j + 2. Let o be t(9). Find c, given that -17*c - c**4 - 337*c**3 + 11*c + 339*c**3 + 5*c**o = 0.
-2, 0, 1, 3
Let h(j) be the third derivative of j**6/60 + j**5/3 + 8*j**4/3 + 32*j**3/3 + 945*j**2. Let h(z) = 0. Calculate z.
-4, -2
Let f(j) be the second derivative of 1/45*j**6 + 0*j**2 + 0*j**3 + 0 - 1/12*j**4 - 1/120*j**5 - 1/252*j**7 + 73*j. Solve f(y) = 0.
-1, 0, 2, 3
Let v(n) = n**3 + 175*n**2 - 3514*n - 7756. Let h(c) = c**3 + 349*c**2 - 7030*c - 15508. Let u(x) = -6*h(x) + 10*v(x). Find i, given that u(i) = 0.
-2, 44
Let w(z) = -2*z. Suppose -7*p - 326 = -333. Let a(k) = 5*k**2 + 57*k - 14. Let h(q) = p*a(q) - 6*w(q). Factor h(i).
(i + 14)*(5*i - 1)
Let s(c) be the second derivative of c**4/72 + 9*c**3/4 + 79*c**2/6 + 1161*c. Find k such that s(k) = 0.
-79, -2
Let b(w) be the first derivative of -w**6/27 - 562*w**5/45 - 557*w**4/9 - 3332*w**3/27 - 1109*w**2/9 - 554*w/9 - 1338. Solve b(z) = 0.
-277, -1
Factor -210*n + 5/2*n**2 - 425/2.
5*(n - 85)*(n + 1)/2
Let w(j) be the second derivative of 0*j**2 + 0 + 7/6*j**4 + j**3 - 56*j + 1/15*j**6 + 1/2*j**5. Solve w(t) = 0.
-3, -1, 0
Let a(d) = -d. Let s(f) = 4*f**2 + 4*f - 14. Let r(l) = -28*a(l) - 2*s(l). Let j(x) = 9*x**2 - 20*x - 29. Let p(h) = -4*j(h) - 5*r(h). Factor p(u).
4*(u - 6)*(u + 1)
Let y(r) be the third derivative of r**5/180 - 31*r**4/36 + 59*r**3/6 + 9473*r**2. Factor y(a).
(a - 59)*(a - 3)/3
Let x = 78157/7 - 10701. Let k = 466 - x. Factor 2/7*q**2 + 2*q + k.
2*(q + 1)*(q + 6)/7
Let n(l) be the second derivative of -l**4/12 + 175*l**3/6 + 285*l + 2. Factor n(h).
-h*(h - 175)
Let p(s) be the third derivative of s**8/1008 - s**7/90 + 13*s**6/360 + s**5/60 - s**4/4 + 7148*s**2. Factor p(t).
t*(t - 3)**2*(t - 2)*(t + 1)/3
Let h be -9 + 1/(-6)*4966/(-91). Let f(x) be the second derivative of 0*x**2 - 2/21*x**3 + 0 + 1/210*x**6 + 43*x - 1/28*x**5 + h*x**4. Factor f(v).
v*(v - 2)**2*(v - 1)/7
Suppose 1903 + 1560 = 1561*y + 341. Find r, given that 0 - 2/7*r**y - 68/7*r = 0.
-34, 0
Factor -91*f**3 - 53*f**3 - 568516 - 115*f**2 + 565500*f + 3127*f**2 + 148*f**3.
4*(f - 1)*(f + 377)**2
Determine r so that -320*r + 1279/4 + 1/4*r**2 = 0.
1, 1279
Let p(x) be the third derivative of -x**7/70 + 11*x**6/20 - 19*x**5/20 - 21*x**4/4 + 578*x**2 - 7*x. Factor p(a).
-3*a*(a - 21)*(a - 2)*(a + 1)
Let f(s) = -21*s - 6. Let q be f(-2). Let a be (-13 + -1)*q/(-42). Factor 125*k**5 - 47*k - 13*k + 4 - a - 142*k**2 + 150*k**4 - 65*k**3.
(k - 1)*(k + 1)*(5*k + 2)**3
Determine p so that p**3 + 2076*p + 1305 + 2206*p + 1044 + 10*p**2 - 4723*p + p**2 = 0.
-29, 9
Let j(d) be the first derivative of d**5/15 + 5*d**4/12 - 9*d**3 - 173*d**2/6 - 88*d/3 - 2840. Determine x so that j(x) = 0.
-11, -1, 8
Let f(v) be the third derivative of -1/288*v**4 + 0*v + 1/240*v**6 - 13*v**2 - 1/720*v**5 - 1 + 0*v**3. Factor f(d).
d*(2*d - 1)*(3*d + 1)/12
Let l be 115/138 + (-520)/48 - -13. Factor l - 2*d**2 - 1/2*d - 1/2*d**3.
-(d - 1)*(d + 2)*(d + 3)/2
Let s(b) = -2*b**3 - 242*b**2 + 1020*b - 1034. Let y(r) = 3*r**3 + 483*r**2 - 2038*r + 2065. Let m(t) = 5*s(t) + 2*y(t). Factor m(q).
-4*(q - 2)**2*(q + 65)
Let r(s) = 14*s**4 - 51*s**3 + 60*s**2 - 13*s. Let u(v) = -2*v**4 + v. Suppose -5*p + 4 = -9*p. Let o(d) = p*r(d) - u(d). Factor o(z).
-3*z*(z - 2)**2*(4*z - 1)
Let v(m) be the second derivative of -m**6/285 + m**5/190 + 36*m**4/19 + 20*m**3/57 - 10400*m**2/19 - 3*m + 2077. Suppose v(s) = 0. What is s?
-10, 8, 13
Let s(n) be the third derivative of 5/6*n**4 + 0 - 80/3*n**3 + 1/12*n**5 + 0*n + 221*n**2. Factor s(i).
5*(i - 4)*(i + 8)
Let c = 12074945 - 10927824119/905. Let j = c + -4/181. Factor -j*y**2 - 4/15*y + 0.
-2*y*(9*y + 2)/15
Let r = -6923 + 103849/15. Let b(o) be the first derivative of 14 + r*o**3 + 0*o - 2/5*o**2. Solve b(z) = 0.
0, 1
Suppose 0*s - 4*s = 0. Let g be ((-2)/4)/(-3 + 34/12). Factor 2*l**2 - l**g + 7 - 7 - l + s*l**2.
-l*(l - 1)**2
Let m be 1936/(-600) - -6 - 8/2. Let j = 8/75 - m. Suppose -5/3*g + j*g**2 - 1/3*g**3 + 2/3 = 0. What is g?
1, 2
Let k(g) = 2*g - 42. Let t be k(29). Factor -6 - 14*a - 2*a**2 + 16*a + 6*a + t.
-2*(a - 5)*(a + 1)
Suppose 14 = d - 4*s, 14 = 4*d - 5*s - 31. Suppose i + 24 = 4*o + d, -5*o = -2*i - 16. Factor 2*p**i - 1/6*p**3 - 49/3 - 7/2*p.
-(p - 7)**2*(p + 2)/6
Let r = -1 - -5. Let n(a) = -a**2 - a - 1. Let d = -3644 + 3643. Let w(o) = 20*o + 32. Let m(s) = d*w(s) + r*n(s). Let m(u) = 0. What is u?
-3
Let r(x) be the second derivative of x**4/4 - 145*x**3/2 - 219*x**2 - 282*x. Solve r(h) = 0 for h.
-1, 146
Let y(l) be the third derivative of 0*l**3 + 7/30*l**5 + 0*l**4 + 0 + 0*l + 75*l**2 - 1/60*l**6. Factor y(m).
-2*m**2*(m - 7)
Let b = 452/3 + -448/3. Let g(l) be the first derivative of -4*l**2 + b*l**3 + 0*l + 14. Determine z, given that g(z) = 0.
0, 2
Let -171*q - 21*q**3 - 76*q**2 + 531 - 621 - 25*q**2 - q**4 = 0. Calculate q.
-15, -3, -2, -1
Let w(u) = u**2 - 9*u + 24. Let j be w(7). Suppose 3 - 23 = -j*s. Find f such that 5 + 9*f + 2*f**s + f + 3 = 0.
-4, -1
Let m(u) be the third derivative of -u**8/1176 + u**7/735 + 17*u**6/210 - 32*u**5/105 - 8*u**4/7 + 131*u**2 + 7*u. Determine y so that m(y) = 0.
-6, -1, 0, 4
Let x(r) be the first derivative of r**5/105 + r**4/7 + 16*r**3/21 + 95*r**2/2 - 24. Let f(m) be the second derivative of x(m). Find d such that f(d) = 0.
-4, -2
Let j(f) be the third derivative of -f**8/1344 + 11*f**7/840 + f**6/16 - 11*f**5/60 - 13*f**4/12 + 493*f**2 - 2. Determine o, given that j(o) = 0.
-2, 0, 2, 13
Let 368*n - 84*n**2 - 977*n + 3*n**3 - 6*n**3 - 528 = 0. Calculate n.
-16, -11, -1
Factor -301*u + 343*u + 150*u**3 - 193*u**2 + 908*u**2 + 598*u + 84 - 464.
5*(u + 2)*(5*u - 2)*(6*u + 19)
Suppose 0 = -3*m + 8*a - 12*a - 40, -20 = 3*m + 2*a. What is t in m*t + 6 - 3/2*t**2 = 0?
-2, 2
Let o be (-100)/650 + 800/468. Suppose 22/9*k - 10/9 - o*k**2 + 2/9*k**3 = 0. Calculate k.
1, 5
Let y be 3/12 + (-3629)/2052*-3. Suppose -2/9*h**3 - 10/3*h - y + 2*h**2 = 0. What is h?
-1, 5
Let d(v) be the third derivative of 0*v - 2*v**3 - 64*v**2 + 0 + 1/30*v**5 + 5/12*v**4. Suppose d(s) = 0. What is s?
-6, 1
Let 85/7*w**3 - 6*w + 0 - 3/7*w**5 - 19/7*w**2 + 59/7*w**4 = 0. What is w?
-1, 0, 2/3, 21
Suppose 9 = -11*n - 2. Let o be n/(-3) - (-65)/(-15) - -6. Factor 3*k**3 - 27/2*k**o - 9/2 + 15*k.
3*(k - 3)*(k - 1)*(2*k - 1)/2
Factor 60*z - 160 + 94*z**2 + 68*z**2 - 115*z + 2*z**3 + 53*z - 2*z**2.
2*(z - 1)*(z + 1)*(z + 80)
Solve 454/19*s + 2/19*s**2 + 0 = 0.
-227, 0
Suppose c + 109 = 3*y, 3*y - 27 = 3*c + 78. Let q = 39 - y. What is u in 10*u - 2*u**3 - 1 + 17 - q*u - 4*u**2 = 0?
-2, 2
Let f(y) = -y**2 - 584*y - 85212. Let j be f(-285). Find o, given that -14/9*o**j + 0 + 16/9*o**4 + 4/9*o**2 + 0*o - 2/3*o**5 = 0.
0, 2/3, 1
Let f = 36231197/524 - 69143. Let m = f + -3/524. Factor 3/2*a**3 - 2*a**4 - 2*a + m*a**5 + 0 + 2*a**2.
a*(a - 2)**2*(a - 1)*(a + 1)/2
Solve 653*v**3 - 5*v + 480*v**2 + 5*v - 885*v**3 - 4*v**4 = 0.
-60, 0, 2
Let p be 24/(-16)*20/(-15). Let 90*r**2 - 30*r**3 + 3*r**4 - 120*r + 49 + r**2 + 8*r**p - 1 = 0. Calculate r.
1, 4
Let p(g) = 3*g - 14. Let i be p(6). Suppose -4*o + 3 = 5*k + 20, i*k = 4*o - 28. What is d in -8*d**2 + 0*d + 2*d**3 - 12*d + 6*d**o = 0?
-2, 0, 3
Suppose 1511 = 19*d + 1511. Factor -11*m - 71/2*m**2 + d + 21/2*m**3.
m*(3*m - 11)*(7*m + 2)/2
Let q be 6*1/(-2) + (-4 - -9). Factor -80*i + 29428*i**q - 4*i**4 + 4*i**4 - 29284*i**2 - 68*i**3 + 4*i**5.
4*i*(i - 2)**2*(i - 1)*(i + 5)
Let p(i) be the first derivative of 0*i**2 + 6*i - 5/4*i**4 - 7 + 1/4*i**5 - 10/3*i**3. Let w(q) be the first derivative of p(q). Factor w(m).
5*m*(m - 4)*(m + 1)
Let w(j) be the second derivative of 19 + 9/16*j**5 - 7/40*j**6 - 9/16*j**4 + 0*j**3 + 1/56*j**7 + 0*j**2 + 2*j. Find k such that w(k) = 0.
0, 1, 3
Let c(t) = 2*t**3 + 11*t**2 - t - 11. Let g be c(-5). Factor 8*h + 15 - h**2 + g*h - 49*h + 8*h.
-(h - 1)*(h + 15)
Suppose -10*q - 13*q + 8*q = 0. Suppose -160