*z**3/5 + 7161*z. Factor k(m).
-3*m*(m - 2)*(m + 156)/5
Let h(q) = -2549*q - 2548. Let l be h(-1). Suppose -1/3*p**3 - 7/3*p + l + 5/3*p**2 = 0. Calculate p.
1, 3
Let z(x) be the second derivative of -1/120*x**4 + 1/15*x**3 + 40*x - 1/200*x**5 + 0 + 1/5*x**2. Factor z(u).
-(u - 2)*(u + 1)*(u + 2)/10
Let i(n) be the second derivative of -n**6/15 - 41*n**5/10 - 51*n**4/2 - 187*n**3/3 - 74*n**2 - 113*n - 1. Factor i(z).
-2*(z + 1)**2*(z + 2)*(z + 37)
Let v(g) = -11*g**2 + 31*g - 12. Let h(n) = 2*n**2 + 7. Let l(b) = 6*h(b) + v(b). Factor l(r).
(r + 1)*(r + 30)
Let d(m) be the second derivative of -8/3*m**3 - 16*m + 1/6*m**4 + 0 + 7*m**2. Determine x so that d(x) = 0.
1, 7
Let m(z) be the first derivative of z**6/10 - 3*z**5/5 - 21*z**4/4 + 101*z - 274. Let g(u) be the first derivative of m(u). Factor g(l).
3*l**2*(l - 7)*(l + 3)
Let x(f) be the third derivative of f**5/20 - 314*f**4 + 788768*f**3 + 901*f**2 - 3*f - 2. Solve x(t) = 0.
1256
Suppose 16 = 196*w - 198*w, f = 7*w + 58. Factor -2/3*j + 4*j**f - 4 + 2/3*j**3.
2*(j - 1)*(j + 1)*(j + 6)/3
Let -5*q**4 - 220*q**3 - 8056 + 8056 = 0. Calculate q.
-44, 0
Suppose -5*z - 19 = -49. Let g be z/21 + (132/28 - 1). Solve -5*p + 7*p**2 + 15*p**g + p - 16*p**4 - 2*p**3 = 0 for p.
-4, 0, 1
Let b(f) be the third derivative of -43/12*f**5 + 0*f + 85/24*f**4 + 0 - 125/84*f**8 - 20/3*f**7 - 66*f**2 - 241/24*f**6 - 5/6*f**3. Solve b(z) = 0.
-1, 1/10
Let s(h) be the second derivative of -11*h**6/135 - h**5/5 + 113*h**4/54 + 40*h**3/9 + 3089*h. What is z in s(z) = 0?
-40/11, -1, 0, 3
Let 20 + 20/3*b**4 - 44*b**3 + 256/3*b**2 + 2/3*b**5 - 206/3*b = 0. What is b?
-15, 1, 2
Let w(r) = 25*r + 32. Let q be w(-1). Let t be ((-210)/3675)/((-3)/q). Let -2/15*h**2 + 4/15*h**4 - t*h**3 + 0 + 0*h = 0. What is h?
-1/2, 0, 1
Let c(v) be the third derivative of -2/3*v**4 + 9*v**2 - 1/30*v**6 + 0*v + 1/3*v**5 + 0*v**3 - 1. Determine u, given that c(u) = 0.
0, 1, 4
Let -52/7*m**5 - 372/7*m - 1112/7*m**3 - 412/7*m**4 - 1160/7*m**2 + 36/7 = 0. What is m?
-3, -1, 1/13
Let u be -5 + (-16 - -55) - 32. Find p, given that -4/7*p**u - 2/7*p**3 + 0 - 2/7*p = 0.
-1, 0
Let j(p) be the third derivative of -p**6/24 - 165*p**5/4 - 100845*p**4/8 + 310005*p**3/2 + 2*p**2 - 4*p - 130. Factor j(w).
-5*(w - 3)*(w + 249)**2
Suppose -6 = 2*z, 96 = n - 4*z + 62. Let r(d) be the third derivative of -1/80*d**5 - n*d**2 + 3/8*d**3 - 1/16*d**4 + 0*d + 0. Factor r(y).
-3*(y - 1)*(y + 3)/4
Let m(l) = -7*l - 487. Let g be m(52). Let b = g - -5961/7. Determine n so that -32/7 + 8/7*n**2 - 16/7*n + b*n**3 = 0.
-2, 2
Let h = 140211/2 + -70105. Find l such that 3/2 - 2*l + h*l**2 = 0.
1, 3
Let p(o) = -6*o - 156. Let t be p(-24). Let k be t/9*30/24 + 3. Factor 2/3*f**2 + k*f - 2.
2*(f - 1)*(f + 3)/3
Let n(p) be the first derivative of -21*p**5/10 - 48*p**4 + 2001*p**3/2 + 4107*p**2/2 + 924*p - 2554. Suppose n(u) = 0. Calculate u.
-28, -1, -2/7, 11
Find x such that -336*x**2 - 4121*x**3 + 664*x - 4104*x**3 + 8227*x**3 = 0.
0, 2, 166
Let j(l) be the third derivative of 0 - 2/21*l**7 - 4/15*l**5 + 2/3*l**4 - 89*l**2 + 0*l + 0*l**3 - 13/30*l**6. Determine h so that j(h) = 0.
-2, -1, 0, 2/5
Suppose 18/7*k**5 + 692/7 + 2400/7*k**2 - 3092/7*k**4 + 3802/7*k - 3820/7*k**3 = 0. What is k?
-1, -2/9, 1, 173
Let x(t) be the first derivative of -t**4 - 1300*t**3/3 + 1306*t**2 - 1308*t - 11383. Factor x(s).
-4*(s - 1)**2*(s + 327)
Let z be -1 + 0 + (3 + -1 - 0). Suppose l - z - 8 = 0. Factor w**3 + 124 - 124 + 6*w**2 + l*w.
w*(w + 3)**2
Suppose 3*p - 2*p = -3*j + 14, 0 = -3*p + 4*j + 42. Solve 2*n - 75*n**3 + 8 - n + 81*n**3 - n - p*n**2 = 0 for n.
-2/3, 1, 2
Let t(k) be the second derivative of -k**5/100 + 3*k**4/40 + 4*k**2 - 5*k - 4. Let n(b) be the first derivative of t(b). What is r in n(r) = 0?
0, 3
Let d(p) be the second derivative of -2/35*p**5 - 11/14*p**4 - 16/7*p**2 + 2*p - 24/7*p**3 - 41. Suppose d(b) = 0. What is b?
-4, -1/4
Let z = 49332/17 + -2906. Let i = z + 418/85. Determine c so that 0*c**2 - 2/5*c**3 + i*c**4 + 0 - 2/5*c**5 + 0*c = 0.
0, 1
Suppose -1397*j = -3*s - 1395*j + 18, 0 = -3*s + j + 9. Suppose -7/2*i**4 + 0 + s*i**2 + 0*i - 1/2*i**5 + 0*i**3 = 0. What is i?
-7, 0
Suppose 4*u + 21 = 3*a, 5*a = -67*u + 69*u + 21. Let v(r) be the first derivative of 0*r**a - 1/16*r**2 - 9 + 0*r + 1/32*r**4. Let v(n) = 0. What is n?
-1, 0, 1
Let c = 2572/265 + -419/53. Determine y so that -9/5 + c*y**2 + 3/5*y - 3/5*y**3 = 0.
-1, 1, 3
Let j(v) be the first derivative of v**6/3 - 8*v**5/5 - 3*v**4/2 + 68*v**3/3 - 52*v**2 + 48*v + 2923. Factor j(r).
2*(r - 2)**3*(r - 1)*(r + 3)
Solve -38/3*r**4 - 344/9*r - 80/9*r**5 + 406/9*r**3 + 16/3 + 148/3*r**2 = 0.
-2, 1/5, 3/8, 2
What is c in 16/5 + 808/5*c + 10201/5*c**2 = 0?
-4/101
Let h be 0*(3/(-36)*-74 + (-18 - -12)). Factor 0*n - 4/5*n**3 + 4/5*n**4 + h - 8/5*n**2.
4*n**2*(n - 2)*(n + 1)/5
Let -675/7*s**2 - 1053/7*s + 0 + 3/7*s**4 - 99/7*s**3 = 0. Calculate s.
-3, 0, 39
Let w = -4/33231 + 199414/232617. Factor 0*n + 0 + w*n**3 - 6*n**2.
6*n**2*(n - 7)/7
Let f = -4003 + 4005. Let n(y) be the first derivative of -1/3*y**6 + 0*y + 5/14*y**4 - 6 + 18/35*y**5 + 2/7*y**f - 6/7*y**3. Determine i, given that n(i) = 0.
-1, 0, 2/7, 1
Let a(w) = -w**2 + 2*w + 10. Let g be a(-2). Let u be 3/g + (6 - 33/6). Suppose 3/2*b**4 - 9/4*b**3 + 0 + 3/4*b**5 + 0*b + 0*b**u = 0. What is b?
-3, 0, 1
Let g = 7598 + -3122780/411. Let q = 284/2055 + g. Solve 0 + 4/15*l**3 - 2/15*l**2 + 0*l - q*l**4 = 0.
0, 1
Let c be 18*1/(18 - 15). Let y(h) be the third derivative of -1/105*h**7 - 1/10*h**5 + 1/12*h**c + 0*h - 3/4*h**4 + 0*h**3 - 3*h**2 + 0. Factor y(g).
-2*g*(g - 3)**2*(g + 1)
Find u such that 0 + 1/2*u**3 - 1/4*u**5 + 3/4*u**4 - 3*u**2 + 2*u = 0.
-2, 0, 1, 2
Let w(m) be the first derivative of -m**4/4 + m**3/6 + m**2 - 72*m + 2. Let b(s) be the first derivative of w(s). Factor b(d).
-(d - 1)*(3*d + 2)
Determine n so that -37/3*n**2 - 5/3*n**3 - 68/3*n + 0 = 0.
-4, -17/5, 0
Factor -169 + 5*x**2 + 2290*x - 34 + 2488.
5*(x + 1)*(x + 457)
Let w(x) be the second derivative of 0*x**2 + 2/7*x**3 - 1/21*x**4 + 0 + 45*x. Factor w(p).
-4*p*(p - 3)/7
Solve -8/9*s**4 - 2/3*s + 44/9*s**2 + 8/9*s**3 - 2/9*s**5 - 4 = 0.
-3, -1, 1, 2
Solve 73*j + 1/6*j**2 - 440/3 = 0 for j.
-440, 2
Let j(a) be the first derivative of 3*a**4/8 - 19*a**3 + 417*a**2/4 - 153*a - 9111. Factor j(m).
3*(m - 34)*(m - 3)*(m - 1)/2
Factor 1128/7*o - 2/7*o**2 - 159048/7.
-2*(o - 282)**2/7
Let m(s) be the second derivative of 11/20*s**4 - 2*s - 1/10*s**5 - 2 - 6/5*s**3 + 0*s**2 + 1/150*s**6. Suppose m(k) = 0. What is k?
0, 3, 4
Let q(x) be the first derivative of -2*x**6/3 - 8*x**5/5 + x**4 + 8*x**3/3 + 5089. Find n such that q(n) = 0.
-2, -1, 0, 1
Let d = -139453 - -139457. Let -4/5 + 62/5*v - 66*v**2 + 130*v**3 - 50*v**d = 0. What is v?
1/5, 2
Factor -2/5*f**2 + 2512/5*f - 788768/5.
-2*(f - 628)**2/5
Let j(z) = -15*z**3 + 810*z**2 - 6490*z + 12470. Let g(x) = 5*x**3 - 273*x**2 + 2163*x - 4157. Let d(i) = 10*g(i) + 3*j(i). Factor d(w).
5*(w - 52)*(w - 4)**2
Determine w, given that w + 124211*w**2 + 60 + 6*w**4 - 145*w - 124196*w**2 + 63*w**3 = 0.
-10, -2, 1/2, 1
Let w(p) be the second derivative of 1/90*p**6 + 17/108*p**4 + 1/378*p**7 - 1/9*p**3 + 0*p**2 + 0 - 1/12*p**5 - 97*p. Factor w(q).
q*(q - 1)**3*(q + 6)/9
Suppose 85*l + 616 = 78*l. Let w be (-24*33/l)/(21/2). Suppose -3/7*x**4 - 3/7*x**3 + 9/7*x**2 + 3/7*x - w = 0. Calculate x.
-2, -1, 1
Let j(d) be the first derivative of -9/40*d**5 + 0*d**2 - 27/32*d**4 - 24 + 1/16*d**6 + 0*d - 5/8*d**3. Determine x so that j(x) = 0.
-1, 0, 5
Let -3/4*n**5 + 0*n**2 + 0 - 19683*n**3 + 0*n - 243*n**4 = 0. Calculate n.
-162, 0
Let o = 15431/45 - 1714/5. Let q(j) be the first derivative of -o*j**6 + 1/3*j**4 - 2/15*j**5 - 1/3*j**2 - 2/3*j + 4/9*j**3 - 28. Factor q(w).
-2*(w - 1)**2*(w + 1)**3/3
Let o be ((-4)/7)/(2/(-21)). Suppose 0 = -7*n + o*n + 2. Solve -16*k - 6*k**n + 4 + 2 + 2*k**2 - 18 = 0 for k.
-3, -1
Let c(y) = y**3 - 3*y**2 + 6*y + 4. Let f(w) = -w**3 - 1. Let k = 159 - 163. Let x(d) = k*f(d) - c(d). Factor x(i).
3*i*(i - 1)*(i + 2)
Suppose -496 - 1984 = -5*w + 5*y, -2*w + 977 = -5*y. Let n = w - 353. What is b in -n*b**4 - 84*b**3 + b**4 + 36*b + b + 47*b + 135*b**2 + 12 = 0?
-1, -2/7, 1
Factor -11461 + 45*u + u**2 + 11233 + 2*u**2.
3