o be m(18). Factor -11/2*z**o - 14 + 1/2*z**3 + 16*z.
(z - 7)*(z - 2)**2/2
Let p(s) be the first derivative of -s**4/16 + 2*s**3/3 - 13*s**2/8 + 3*s/2 - 24. Factor p(c).
-(c - 6)*(c - 1)**2/4
Let u(o) = -3*o**2 - 12*o - 17. Let z(f) = 4*f + 10 - 4*f**2 - 4 + 5*f**2. Let k = 1729 - 1712. Let r(j) = k*z(j) + 6*u(j). Let r(l) = 0. What is l?
-4, 0
Let j(u) be the third derivative of 0 + 2/1785*u**7 + 0*u - 4/85*u**5 + 12/17*u**4 - 23/1020*u**6 - 2*u**2 + 1/2856*u**8 + 0*u**3. Find x such that j(x) = 0.
-4, 0, 3
Let q(w) be the second derivative of w**5/80 - 1433*w**4/48 + 2863*w**3/24 - 1431*w**2/8 - 2934*w. Determine s so that q(s) = 0.
1, 1431
Factor -453156 - 595*k**2 + 67714 + 593*k**2 - 1756*k.
-2*(k + 439)**2
Let t(j) be the first derivative of j**6/33 + 38*j**5/55 + 79*j**4/22 + 266*j**3/33 + 100*j**2/11 + 56*j/11 + 60. Let t(i) = 0. Calculate i.
-14, -2, -1
Let n be (-1)/(-2) + 2/(-6). Suppose 8*d - 85 = -g - 34, 0 = -g - d + 9. Find h such that n*h + 1/6*h**2 - 1/6 - 1/6*h**g = 0.
-1, 1
Suppose 5*t - s + 2486 = 3*t, 5*s + 7490 = -6*t. Let a = 1245 + t. Factor -117/2*k**2 + 27/4*k + 12*k**5 + a - 78*k**4 + 579/4*k**3.
3*k*(k - 3)**2*(4*k - 1)**2/4
Let o(i) be the first derivative of i**6/3 + 2*i**5/5 - 11*i**4/2 - 58*i**3/3 - 26*i**2 - 16*i - 410. Let o(p) = 0. What is p?
-2, -1, 4
Let d(u) = 13*u**3 + 51*u**2 - 79*u - 41. Let k be d(-5). Solve 0 - 11*z**2 + 7/2*z**3 - k*z + 3/2*z**4 = 0.
-4, -1/3, 0, 2
Let i = 9077 + -363107/40. Let q = i - -15/8. Solve 8/5 + q*n**2 - 16/5*n = 0.
2/3, 2
Let b = 72622 + -72622. Factor 0*x**3 + b*x + 2/3*x**4 + 0 + 0*x**2.
2*x**4/3
Let c be (-3)/((-30)/154) - (637/13 + -36). Determine w so that -8 + 4/5*w**2 + c*w = 0.
-5, 2
Let m = 1601 - 679. What is j in 97*j - 71 - 303 + 47*j - 4*j**2 - m = 0?
18
Let s(u) be the first derivative of 1/3*u**2 - 18*u + 1/60*u**5 - 24 + 5/18*u**3 + 1/9*u**4. Let q(r) be the first derivative of s(r). Factor q(j).
(j + 1)**2*(j + 2)/3
Let d be (354 + -353)*8/(7 + -3). Let 0*f + 0*f**d + 0 - 3/2*f**4 + 3*f**3 = 0. Calculate f.
0, 2
Let q(k) = -k**5 + 215*k**4 - 663*k**3 + 691*k**2 - 230*k + 12. Let n(v) = v**5 - 2*v**3 - v**2 - 2. Let f(h) = 6*n(h) + q(h). Suppose f(m) = 0. What is m?
-46, 0, 1
Let q(n) be the first derivative of n**6/48 - n**4/4 - n**3/4 + 7*n**2/16 + 3*n/4 - 2344. Let q(y) = 0. Calculate y.
-2, -1, 1, 3
Solve -360 - 5/3*l**4 - 40/3*l**3 + 115/3*l**2 + 170*l = 0 for l.
-9, -4, 2, 3
Let f = -103783 + 103785. Find x, given that 2/5*x**4 - 18/5*x**f + 24/5 - 8/5*x + 0*x**3 = 0.
-2, 1, 3
Let c(m) = -m**3 - 2*m**2 + 17*m - 1. Let v(p) = 5*p**3 - 165*p**2 + 7667*p - 21671. Let q(n) = -4*c(n) - v(n). Factor q(o).
-(o - 85)**2*(o - 3)
Let w(a) = 16*a + 339. Let x(n) = n**2 - 70. Let o be x(7). Let r be w(o). What is m in -5/4 + 1/4*m**5 + 7/4*m**4 - 1/2*m**2 + 5/2*m**r - 11/4*m = 0?
-5, -1, 1
Let a be 6 - ((-28)/(-10) - (-18)/90). Let -m**4 - 3*m**4 + 272*m + 39*m**3 - 87 - 59 + 13*m**a - 192*m**2 + 18 = 0. What is m?
1, 2, 8
Let u = -66444 + 66644. Suppose -10*g + 300 = -5*g. Factor -8*o**3 + 250 - u*o + g*o**2 + 2/5*o**4.
2*(o - 5)**4/5
Let l(f) be the first derivative of -4*f**5/35 + 5*f**4/14 + 26*f**3/7 - 62*f**2/7 - 80*f/7 + 2539. Suppose l(k) = 0. Calculate k.
-4, -1/2, 2, 5
Let z(m) be the second derivative of -m**6/6 + 27*m**5/4 - 295*m**4/6 + 150*m**3 - 220*m**2 - 9*m - 39. Suppose z(f) = 0. What is f?
1, 2, 22
Let n be ((-7)/1 + 6)*2/(-1). Suppose 0*d - 4*d**n - 3*d - 9*d - 24*d - 72 = 0. What is d?
-6, -3
Let a be (-9819)/1*39/(-351). Let u = -1088 + a. Find k, given that -32/5 - 4*k**u - 264/5*k**2 + 20*k**4 - 176/5*k = 0.
-1, -2/5, 2
Let a(y) be the second derivative of -y**5/40 - 1129*y**4/24 + 2261*y**3/12 - 1131*y**2/4 + 4*y - 161. Factor a(j).
-(j - 1)**2*(j + 1131)/2
Let c = 1750/16643 + 116/1513. Solve -18/11*g + 0 + c*g**2 = 0 for g.
0, 9
Suppose -22*n - 52 - 53 = -29*n. Let r(h) be the first derivative of 0*h - 2/3*h**3 - n + h**2. Factor r(c).
-2*c*(c - 1)
Let n = 1254814/3 - 418269. Factor 0 - 4*h**2 - 1/3*h**4 - n*h**3 + 0*h.
-h**2*(h + 3)*(h + 4)/3
Let s be ((-1880)/(-630) + -3)*-5. Let u(r) be the third derivative of 0 + 1/36*r**6 + 0*r**3 - 4/45*r**5 + 0*r - 33*r**2 + s*r**7 - 1/15*r**4. Factor u(m).
2*m*(5*m - 3)*(5*m + 2)**2/15
Let d be (7/(-14) - (-2)/(-4))/(259/(-777)). Factor -529/2*w + 23*w**2 + 0 - 1/2*w**d.
-w*(w - 23)**2/2
Let n(f) be the first derivative of 0*f + 1/6*f**3 - f**2 + 33. Factor n(d).
d*(d - 4)/2
Find q such that 265/4*q - 15/4*q**5 - 25/2 - 5/2*q**4 + 115/2*q**3 - 105*q**2 = 0.
-5, 1/3, 1, 2
Let x be 18335/3800 + 15/(-24). Determine i so that -3/5*i**2 - 36/5 + x*i = 0.
3, 4
Let n(t) be the second derivative of -5*t**7/42 - t**6/2 - t**5/2 - 1226*t. Factor n(v).
-5*v**3*(v + 1)*(v + 2)
Let f(a) = a**3 - 22*a**2 - 4504*a - 56. Let x be f(-57). Determine y, given that 10/3*y**3 - 10/3*y - y**4 + 0*y**2 + x = 0.
-1, 1/3, 1, 3
Let z(c) be the first derivative of 40*c**2 + 13 - 5/3*c**3 - 75*c. What is d in z(d) = 0?
1, 15
Let w(t) be the third derivative of t**6/40 + t**5/20 - t**4/4 + 1124*t**2. Factor w(b).
3*b*(b - 1)*(b + 2)
Let r = -343/55 + 387/55. Factor -2/5*i**2 + r - 2/5*i.
-2*(i - 1)*(i + 2)/5
Suppose 10*a**3 - 54*a + 219/5*a**2 + 1/5*a**4 + 0 = 0. What is a?
-45, -6, 0, 1
Let y(n) be the third derivative of -121*n**8/84 - 616*n**7/15 - 4703*n**6/15 + 588*n**5/5 - 27*n**4/2 - 108*n**2. Suppose y(l) = 0. What is l?
-9, 0, 1/11
Let n be 160/195 - 2/13. Let s be -1 - 15 - (-1350)/81. What is j in 0*j + 0 - n*j**4 + 0*j**2 - s*j**3 = 0?
-1, 0
Let k(t) be the third derivative of -29*t**2 - 11/120*t**4 - 1/600*t**6 + 1/5*t**3 + 0*t + 1/50*t**5 + 0. Factor k(x).
-(x - 3)*(x - 2)*(x - 1)/5
Let t be (-3)/(-10) - 1352/27040. Solve -4*s**4 + 4*s**2 - t*s**5 + 15/4*s - 7/2*s**3 + 0 = 0 for s.
-15, -1, 0, 1
Let g(z) be the second derivative of 0*z**2 - 1/90*z**4 + 36 - z + 19/45*z**3. Solve g(f) = 0.
0, 19
Suppose -3*a - 78 - 39 = 0. Let q = -30 - a. Factor -11*n + 8*n - q*n - 4*n**2.
-4*n*(n + 3)
Suppose -r - 5*t + 29 = -41, -2*r - 4*t = -170. Factor 40*c**2 + 118*c - 176*c**3 + 85*c**3 - 18*c + r*c**3.
4*c*(c + 5)**2
Let j(t) be the first derivative of -3*t**4/4 + 41*t**3 - 765*t**2/2 - 891*t + 3851. Factor j(u).
-3*(u - 33)*(u - 9)*(u + 1)
Let r be 2/24 + 91/780. Let w = 2/107 + 204/535. Suppose 1/5 - w*q + r*q**2 = 0. What is q?
1
Let x = -240046 + 240051. Factor -2/7*q**4 - q - 1/7*q**x + 4/7 - 2/7*q**2 + 8/7*q**3.
-(q - 1)**3*(q + 1)*(q + 4)/7
Let m be 70/420 - (-229)/30 - (8 - 7 - -6). Factor -m*x - 2/5*x**2 - 2/5.
-2*(x + 1)**2/5
Suppose 17*f - 21952 = 16*f. Find q such that 4*q**5 - 739*q**4 + f*q + 1281*q**3 + 142*q**4 + 421*q**4 + 928*q**3 + 479*q**3 - 15680*q**2 = 0.
0, 2, 14
Let l(z) = -30*z + 2. Let f be l(0). Find o, given that -1163*o**2 + 1166*o**2 - 2*o + f*o - 27 = 0.
-3, 3
Suppose -2*f - 4*z = 12, 3*z - 89 = -2*f - 97. Factor -5*m + 13/5 + 11/5*m**f + 1/5*m**3.
(m - 1)**2*(m + 13)/5
Let n(j) be the third derivative of -1/336*j**8 - 5*j**4 - 17*j**2 + 0 - 6*j**3 - 29/12*j**5 - 1/14*j**7 + j - 5/8*j**6. Solve n(l) = 0.
-6, -1
Let n(d) be the third derivative of -107*d**2 - 5/192*d**4 - 1/480*d**5 + 0*d - 1/8*d**3 + 0. Solve n(y) = 0.
-3, -2
Let o = 63 + -50. Suppose 316 = 7*v - o. Factor -51*m**3 - 20*m**4 + 37*m**2 - m + 6*m + 16*m**3 - v*m**2.
-5*m*(m + 1)**2*(4*m - 1)
Let v(w) be the third derivative of w**6/60 - 4*w**5/15 - w**4/3 + 32*w**3/3 + 10*w**2 + 38. Determine r so that v(r) = 0.
-2, 2, 8
Let m(z) = 12*z**3 - 168*z**2 + 206*z - 58. Let a(s) = -s**3 + s + 1. Let r be (-4)/(((-2)/(-6))/(6/(-12))). Let v(u) = r*a(u) - m(u). Factor v(y).
-2*(y - 8)*(3*y - 2)**2
Let j be (0 - 11) + 7 + (7 - 539/(-21)). Determine y so that 13/3*y - j*y**2 + 2 + 11/3*y**5 - 64/3*y**4 + 40*y**3 = 0.
-2/11, 1, 3
Let h(k) be the first derivative of -k**7/1680 - 7*k**6/180 - 49*k**5/60 - 56*k**3/3 + 167. Let g(x) be the third derivative of h(x). Let g(s) = 0. Calculate s.
-14, 0
Let a(g) = 7*g + 366. Let m be a(-47). Suppose z = 4*y - 12, y - 16 = -m*z + 34*z. Let 0*l**3 + 2/3*l**y + 0*l + 0*l**2 + 0 - 2/3*l**5 = 0. What is l?
0, 1
Let v(p) be the third derivative of p**5/15 + 745*p**4/3 + 1110050*p**3/3 + 1290*p**2. Factor v(g).
4*(g + 745)**2
Let a be (56 + -65 - 278/(-30))*10/12. Let u(y) be the second derivati