a**4 + 48*a - 96/7*a**3 + 240/7 = 0.
-2, -1, 2, 10
Let k(x) be the second derivative of -25*x**4/66 + 490*x**3/11 - 21609*x**2/11 + 856*x. Factor k(o).
-2*(5*o - 147)**2/11
Let y = 640899/5 + -128124. Find i, given that -78/5 - 21/5*i**2 - y*i = 0.
-13, -2/7
Let y(z) be the second derivative of z**4/42 - 178*z**3/21 + 7921*z**2/7 - 102*z + 6. Factor y(g).
2*(g - 89)**2/7
Let n(r) be the second derivative of r**6/90 - 7*r**5/6 + 383*r**4/12 + 156*r**3 - 648*r**2 + 138*r + 4. Factor n(a).
(a - 36)**2*(a - 1)*(a + 3)/3
Factor 192 + 162*l**2 + 1350*l**2 - l**4 - l**4 + 512*l**3 + 1504*l + 6*l**4 + 308.
4*(l + 1)**3*(l + 125)
Let s be (-3)/16*(-14 - 2). Factor -52/5*w**2 - w**s + 7*w + 22/5.
-(w - 1)*(w + 11)*(5*w + 2)/5
Suppose 160/7 + 2/7*d**4 + 32/7*d**3 + 144/7*d**2 + 256/7*d = 0. Calculate d.
-10, -2
Solve -1/2*f**5 - 24*f**4 - 23*f**3 + 24*f**2 + 0 + 47/2*f = 0.
-47, -1, 0, 1
Let l be (-140)/(-70) + (-36 - 0)/(-2). Let 20*w**2 + l*w**3 + 156*w - 5*w**4 - 156*w + 0*w**5 - 5*w**5 = 0. Calculate w.
-2, -1, 0, 2
Let y(s) = s**3. Let k(r) = 6*r**3 - 15*r**2 - 18*r. Let b = -164 + 108. Let z = b - -47. Let c(o) = z*y(o) + k(o). Factor c(n).
-3*n*(n + 2)*(n + 3)
Let j(d) = -23*d**2 - 554*d - 558. Let g(y) = -39*y**2 - 1110*y - 1116. Let f(m) = 3*g(m) - 5*j(m). Find n, given that f(n) = 0.
-279, -1
Let m(o) be the second derivative of o**5/120 + 11*o**4/72 + 31*o**3/36 + 7*o**2/4 - 166*o. Find d such that m(d) = 0.
-7, -3, -1
Let h = -9203 + 9206. Let b(m) be the first derivative of -200/9*m + 34 + 20/9*m**2 - 2/27*m**h. What is t in b(t) = 0?
10
Let l be (((-1300)/(-15))/13)/(-5 + 393/63). Factor -18/13 + l*z + 8/13*z**2.
2*(z + 9)*(4*z - 1)/13
Let b = -529 + 531. Let u = -4 - -10. Solve u*q**4 - 4*q**5 - 25*q**3 - q**5 + 10*q**b + 14*q**4 = 0 for q.
0, 1, 2
Let s = 15 + 20. Suppose -29 - 63 = -31*h + 1. Factor -11*b**3 - 8 - 34*b**2 - s*b + 17*b - 22*b + 3*b**h.
-2*(b + 2)**2*(4*b + 1)
Let -1311/2*h + 164 - 2*h**2 = 0. Calculate h.
-328, 1/4
Let o(j) be the first derivative of 16*j**3/9 + 691*j**2 + 518*j/3 + 12372. Factor o(s).
2*(s + 259)*(8*s + 1)/3
Determine a so that 1096*a**2 - 149/2*a**4 - 17*a**3 - 336*a - 7*a**5 - 1323/2 = 0.
-7, -9/14, 1, 3
Let p(r) be the third derivative of -1/50*r**5 - 3/200*r**6 + 0*r**4 - 1/350*r**7 + 0*r + 0*r**3 - 1 + 43*r**2. Factor p(c).
-3*c**2*(c + 1)*(c + 2)/5
Let b = 717 - 714. Factor 8*x**b - 4*x**3 + 7396*x - 101*x**2 - 243*x**2.
4*x*(x - 43)**2
Let v = 320083/294 - -115/147. Let u = v + -1082. Factor 15/2*h**2 - 5/2*h**3 + 5/2 - u*h.
-5*(h - 1)**3/2
Let f = 520 - 517. Factor -11*t**3 - f*t**3 - 30*t**2 + 37*t**3 + 27*t - 9*t**3 - 11*t**3.
3*t*(t - 9)*(t - 1)
Let o(m) be the third derivative of m**7/350 + 13*m**6/25 + 503*m**5/100 + 199*m**4/10 + 198*m**3/5 + 2*m**2 - 111*m + 25. Determine h so that o(h) = 0.
-99, -2, -1
Suppose j - 18 = -7*v + 4*v, 6 = 2*j. Let q be 3 - (-60)/21 - v. Let 0 - q*i - 2/7*i**2 = 0. What is i?
-3, 0
Suppose -2130 + d**3 + 885*d**2 - 4*d**3 + 3579*d + 4821 = 0. What is d?
-3, -1, 299
Let f be 1*27/6*(-472)/(-3894). Let f*w**2 - 10/11 - 4/11*w = 0. Calculate w.
-1, 5/3
Let t(q) be the third derivative of -q**7/945 - 31*q**6/270 - 16*q**5/3 - 3712*q**4/27 - 57344*q**3/27 + 3030*q**2. Factor t(c).
-2*(c + 14)*(c + 16)**3/9
Let v(s) = 26*s + 215. Let l be v(-7). Factor 21*n**3 - 3*n**5 - 109*n - 7*n**4 + l*n**2 + 147*n**2 + n - 60*n**3 - 23*n**4.
-3*n*(n - 1)**2*(n + 6)**2
Let w(h) be the third derivative of 4*h**2 - 2/21*h**3 + 31/168*h**4 + 0 - 9/140*h**5 + 2*h. What is q in w(q) = 0?
4/27, 1
Let f = 53 + -45. Suppose 35773*a**2 - f*a - 12 - 4*a - 35776*a**2 = 0. Calculate a.
-2
Suppose 3*o = -4*p + 5, 8*p + 5*o - 3 = 4*p. Suppose 17*t + 2 = 15*t + p*b, -6 = -2*b. Find u, given that 0 - 9/5*u + 3/5*u**t = 0.
0, 3
Let f be (-32400)/(-189)*((-126)/72)/(-7). Factor 7500/7 + 3/7*b**2 - f*b.
3*(b - 50)**2/7
Suppose 25*o + 6 = 28*o. Factor 47 + 10*y + 3*y**o - 2*y**2 + 53 - 75.
(y + 5)**2
Let a(j) be the first derivative of j**8/3780 + j**7/630 + j**6/270 + j**5/270 - 5*j**3/3 - 3*j - 1. Let w(v) be the third derivative of a(v). Factor w(s).
4*s*(s + 1)**3/9
Let n = 2331661/5 + -466332. Factor -23/5*y**2 - 8 + 62/5*y + n*y**3.
(y - 20)*(y - 2)*(y - 1)/5
Let m = 11/1290 + 10243/9030. Let r(i) be the first derivative of 6/7*i + m*i**3 + 12/7*i**2 - 11. Find g, given that r(g) = 0.
-1/2
Let n(j) be the second derivative of -2*j**6/15 - 12*j**5/5 + 43*j**4/3 - 20*j**3 - 9*j - 12. Factor n(o).
-4*o*(o - 2)*(o - 1)*(o + 15)
Let s be (-7 - -3)/(-1*2). Suppose 5*t + 1 = -4*i, 4*t - 24 = 5*i - 2*i. Let 5*c - 3*c**2 + c**t - 4*c**s + 11*c - 8*c + 16 = 0. Calculate c.
-1, 4
Let n be (86800/(-525) - -166)/(2/8). Factor n - 8/9*i - 2/9*i**3 - 14/9*i**2.
-2*(i - 1)*(i + 2)*(i + 6)/9
Determine j so that -537*j**2 - 3*j**4 - 17*j**3 + 394*j + 32*j**3 + 104*j**3 + j**3 + 26*j = 0.
0, 1, 4, 35
Let d = -1197 + 3593/3. Let v(g) be the first derivative of -d*g**2 + 2/9*g**3 + 15 + 2/3*g. Factor v(p).
2*(p - 1)**2/3
Suppose 23*p + 9747 + 18*p**2 - 22*p**2 + 7*p**2 + 319*p = 0. What is p?
-57
Let v(n) be the first derivative of n**8/1680 + n**7/42 + 2*n**3/3 + 13*n**2/2 + 49. Let a(j) be the third derivative of v(j). Solve a(f) = 0.
-20, 0
Let l(s) be the second derivative of 10*s**7/21 - 884*s**6/15 + 9856*s**5/5 - 3872*s**4/3 - 2763*s. Factor l(n).
4*n**2*(n - 44)**2*(5*n - 2)
Suppose 162*d = -35*d + 591. Let h(o) be the third derivative of -14*o**2 + 0 - 3/160*o**5 + 5/64*o**4 + 0*o + 25/48*o**d + 1/960*o**6. Let h(f) = 0. What is f?
-1, 5
Suppose 4*l - 9 = -2*o + 13, -2*o - l = -13. Suppose o*i - 3*p - 17 = -29, 0 = -2*p + 8. Let -6*y - 3/5*y**2 + i = 0. Calculate y.
-10, 0
Factor 28/11*w**2 - 2/11*w**3 + 0 + 414/11*w.
-2*w*(w - 23)*(w + 9)/11
Let k = -919351206794/11669 + 78785775. Let z = k + -2/1667. Let 0*c**2 - z*c**5 + 0*c - 4/7*c**3 - 4/7*c**4 + 0 = 0. Calculate c.
-2, 0
Let z(q) be the second derivative of 23 + 9/49*q**7 + 0*q**3 + 1/21*q**4 - 52/105*q**6 - 2*q + 23/70*q**5 + 0*q**2. Factor z(k).
2*k**2*(k - 1)**2*(27*k + 2)/7
Let s be (-6 + 13 + 5 + 232/(-80)*4)*1. Solve s*g**2 - 4/5*g - 14 = 0.
-5, 7
Let v(q) = -q + 2. Let r(z) = -32*z - 9*z**2 + 18*z**2 + 48 - 5*z**2. Let f(i) = -r(i) + 20*v(i). Factor f(w).
-4*(w - 2)*(w - 1)
Let h be 10/4*4/10. Suppose -c = -h - 2. Factor -19*z + 7*z + 18*z + c*z**4 - 9*z**2.
3*z*(z - 1)**2*(z + 2)
Let w(q) be the second derivative of -q**7/63 - 19*q**6/45 - 49*q**5/30 - 13*q**4/18 + 50*q**3/9 + 32*q**2/3 - 28*q + 5. Suppose w(r) = 0. Calculate r.
-16, -2, -1, 1
Let l(u) be the first derivative of u**6 + 412*u**5/25 - 105*u**4/2 + 616*u**3/15 + 12*u**2 - 128*u/5 + 507. Suppose l(o) = 0. What is o?
-16, -2/5, 2/3, 1
Let j = -4576093/5 - -915251. Solve 168/5 + 39/5*c**3 + 276/5*c + j*c**2 + 3/5*c**4 = 0.
-7, -2
Let o be (-20)/(37 - (16 - -31)). Factor 18*n + 1/4*n**o + 324.
(n + 36)**2/4
Let m(j) = -2*j + 15. Let g be m(6). Factor 2*a**5 - 5*a**2 + 17*a**2 - 8*a**2 - 2*a**g + 3*a**4 - 7*a**2.
a**2*(a - 1)*(a + 1)*(2*a + 3)
Let x(c) be the second derivative of c**8/1120 + c**7/280 - c**6/80 + c**3/2 - 3*c**2 + 79*c. Let l(z) be the second derivative of x(z). Factor l(s).
3*s**2*(s - 1)*(s + 3)/2
Let o be (-15)/(-9)*(-13 - -7). Let b be ((-20)/(-15))/((-5)/(75/o)). Determine j, given that -3 - 3/4*j**b - 3*j = 0.
-2
Suppose 0 = -448*h + 442*h - 24. Let z(i) = 11*i + 46. Let w be z(h). Factor -21/2 + 3/2*k**w + 9*k.
3*(k - 1)*(k + 7)/2
Let p(n) = -n**2 + 876*n + 48999. Let w(f) = -3*f**2 + 1733*f + 97997. Let g(o) = -13*p(o) + 6*w(o). Let g(x) = 0. What is x?
-99
Let l be 3/(6/14) - 667. Let w be 33/l*64/(-6). Factor 2/5*s**4 + 0 + 0*s - w*s**5 + 2/15*s**3 + 0*s**2.
-2*s**3*(s - 1)*(4*s + 1)/15
Let 88*c**3 - 16*c - 3*c**5 + 20 - 38*c**3 + c**5 - 43*c**3 + 3*c**5 + 7*c**4 - 19*c**2 = 0. Calculate c.
-5, -2, 1
Let p = 42/787 - -50242/2361. Let v(j) be the first derivative of -7*j**4 - p*j**3 + 0*j - 8*j**2 + 23. Solve v(g) = 0.
-2, -2/7, 0
Let d(a) = 15*a + 225. Let f be d(-15). Suppose -18*z + 2*z + 64 = f. Let 0 + 0*q**z - 3/5*q**5 + 9/5*q**3 + 0*q - 6/5*q**2 = 0. Calculate q.
-2, 0, 1
Let a be (-10 + 22946/2303)/(6/(-27)). Let o = -1/47 + a. Determine y, given that 2/7*y + 1/7*y**2 - o*y**4 - 2/7*y**3 + 0 = 0.
-2, -1, 0, 1
Let k(q) be the first derivative of