u(k) be the third derivative of p(k). Factor u(q).
q**2*(q + 1)**2/3
Let h = -22747 - -568676/25. Let r(p) be the second derivative of 0*p**2 + 34*p + h*p**5 + 2/15*p**4 + 0*p**3 + 0. Let r(o) = 0. Calculate o.
-2, 0
Let z(x) = 20*x**4 - 40*x**3 + 57*x**2 + 89*x + 14. Let t(y) = 12*y**4 - 20*y**3 + 28*y**2 + 44*y + 8. Let j(f) = -7*t(f) + 4*z(f). Factor j(k).
-4*k*(k - 2)*(k + 1)*(k + 6)
Let u(l) be the first derivative of 2/3*l**3 + 34*l - 18*l**2 + 58. Factor u(j).
2*(j - 17)*(j - 1)
Let w = -53154 - -53156. Let -5 + 11/2*r - 3/2*r**w = 0. Calculate r.
5/3, 2
Let -192/7*o - 2/7*o**4 - 6/7*o**3 + 0 + 200/7*o**2 = 0. What is o?
-12, 0, 1, 8
Factor -1/3*s**4 - 38/3*s + 13/3 - 10/3*s**3 + 12*s**2.
-(s - 1)**3*(s + 13)/3
Let j(b) be the third derivative of -b**8/280 - 17*b**7/525 - 9*b**6/100 - 7*b**5/150 + b**4/10 - 1079*b**2. Determine u so that j(u) = 0.
-3, -2, -1, 0, 1/3
Let t(a) be the second derivative of 5*a**4/12 + 110*a**3/3 - 705*a**2/2 - 452*a + 1. Factor t(z).
5*(z - 3)*(z + 47)
Factor -3/2*b**2 - 396294 - 1542*b.
-3*(b + 514)**2/2
Let q be -13 + (-93)/(-31) - 208/(-10). Suppose -m + 3*m = 2*a - 14, 2*m = -3*a + 1. Factor -4*n**a - 72/5*n**2 - 108/5*n - q - 2/5*n**4.
-2*(n + 1)*(n + 3)**3/5
Let j(f) be the second derivative of -f**7/3780 + f**6/1620 + f**5/108 + f**4/36 - 47*f**3/6 - 3*f - 3. Let i(t) be the second derivative of j(t). Factor i(b).
-2*(b - 3)*(b + 1)**2/9
Let n be 48 - -3 - (18 - 15). Find z such that -69*z - 56*z - 24*z - 35*z**2 + n*z - 59*z - 80 = 0.
-4, -4/7
Let v(i) = i**2 + 4*i - 2. Let m be v(1). Let q be (-100)/(-80)*(81/(-30) + m). Find p such that -27/4*p + q*p**2 + 243/8 = 0.
9
Let b be ((-2)/4*(-4)/25)/8. Let y(a) be the third derivative of 0*a + b*a**5 + 1/5*a**3 - 11/120*a**4 + 0 - 20*a**2. Solve y(t) = 0.
2/3, 3
Let i(k) = 4*k**3 - k**2 - k - 1. Let l(o) = -13*o**3 + 71*o**2 - 378*o + 561. Let a(w) = -3*i(w) - l(w). Factor a(r).
(r - 62)*(r - 3)**2
Let y(f) = -4*f - 80. Let c be y(-25). Let m(x) = 10*x + 742. Let w be m(-74). Factor 4*d - c - 1/5*d**w.
-(d - 10)**2/5
Let i(u) = 1242 - 1242 + 33*u - u**2. Let p(d) = -2*d**2 - d. Let b(y) = i(y) - p(y). Factor b(n).
n*(n + 34)
Suppose 5*z - 10 = -0*z. Let j be (8/(-5))/(32/(-30) + 58/87). Let 4*y + 8 - y - j*y**z + y + 0*y**2 = 0. What is y?
-1, 2
Let u(k) be the first derivative of 5*k**3/3 + 1065*k**2/2 - 1070*k - 1684. Solve u(q) = 0.
-214, 1
Let d be (-6)/(-5)*(128/(-24) - -7). What is j in 63*j**4 - 2*j + j - 35*j**d + 30 + 5*j**3 - 4*j - 58*j**4 = 0?
-3, -1, 1, 2
Let o be -4 + ((-84)/(-8))/(-15 + 17). Suppose -1/4*v**2 + o*v - 3/2 = 0. Calculate v.
2, 3
Let q(v) = 2*v**4 - v**2 - 1. Let r(b) = -9*b**4 + 9*b**3 + 75*b**2 + 84*b + 3. Let d(t) = -3*q(t) - r(t). Factor d(y).
3*y*(y - 7)*(y + 2)**2
Let o(y) = -1 - 14*y - 2 + 6*y - 13. Let m(r) = -r**2 + r. Let c(u) = 4*m(u) - o(u). Factor c(f).
-4*(f - 4)*(f + 1)
Factor -66654 - 276*c - 2/7*c**2.
-2*(c + 483)**2/7
Let j(d) be the first derivative of d**6/75 + d**5/5 + 6*d**4/5 + 56*d**3/15 + 32*d**2/5 + 79*d - 67. Let n(k) be the first derivative of j(k). Factor n(t).
2*(t + 2)**3*(t + 4)/5
Let g(w) be the first derivative of -13*w**4/8 + 517*w**3/9 - 43*w**2 - 52*w/3 + 216. Determine l, given that g(l) = 0.
-2/13, 2/3, 26
Let u(i) be the third derivative of -i**7/105 + 4*i**6/15 + 38*i**5/15 + 20*i**4/3 - 1020*i**2. Suppose u(g) = 0. Calculate g.
-2, 0, 20
Let z(p) be the third derivative of -p**6/12 - 157*p**5/5 - 3713*p**4 - 17672*p**3/3 - 5*p**2 - 217*p. Let z(q) = 0. What is q?
-94, -2/5
Let c(l) be the second derivative of -3 - 8/3*l**6 - 35/4*l**5 + 0*l**3 + 0*l**2 - 23*l - 15/2*l**4 + 5/42*l**7. Find s, given that c(s) = 0.
-1, 0, 18
Let k = -6/1475 - 2783283/10325. Let l = -269 - k. Factor -2/7*p**3 - l*p**2 + 0*p + 0.
-2*p**2*(p + 2)/7
Suppose -18 + 6*t**2 + 1/2*t**3 + 23/2*t = 0. What is t?
-9, -4, 1
Let o(y) = -27*y**2 + 218*y - 221. Let s(i) = 14*i**2 - 110*i + 110. Let k(a) = 2*o(a) + 5*s(a). Solve k(f) = 0 for f.
9/8, 6
Let s(i) be the third derivative of 49/3*i**5 + 0*i**3 + 117 + 1/42*i**7 - 7/6*i**6 + 0*i + 0*i**4 + i**2. Factor s(n).
5*n**2*(n - 14)**2
Let r be (-63)/21*19/(-3). Suppose -t - 2*o = -21 + r, 0 = 5*t + 5*o - 5. Let t - 1/2*g**2 + 1/4*g + 1/4*g**3 = 0. Calculate g.
0, 1
Factor i**3 - 31*i**2 + 129 - 337*i + 15*i**2 + 7*i**2 - 70*i**2 + 286.
(i - 83)*(i - 1)*(i + 5)
Let i = 1101807/5 - 220361. Factor 2/5 - 2/5*z**3 - i*z**2 + 2/5*z.
-2*(z - 1)*(z + 1)**2/5
Let k(d) be the third derivative of d**6/480 + 5*d**5/24 - 53*d**4/96 - 17*d**3/4 + 109*d**2 + 4*d. Determine f, given that k(f) = 0.
-51, -1, 2
Suppose -621 + 189 = -16*y. Factor 30*t**2 - 32 - 7*t - 5*t**3 - 5*t**4 - 8 + y*t.
-5*(t - 2)*(t - 1)*(t + 2)**2
Let o(v) = v**4 - v**3 - 3. Let z(b) = b**5 - 3*b**4 + 2*b**3 - 4*b**2 + 4*b + 15. Let q(y) = 15*o(y) + 3*z(y). Suppose q(p) = 0. What is p?
-2, 0, 1
Factor -30*j + 5/2*j**3 - 19/2*j**2 - 18.
(j - 6)*(j + 1)*(5*j + 6)/2
Let j(m) be the second derivative of -m**5/90 - 107*m**4/54 + m**3/27 + 107*m**2/9 - 5242*m. Factor j(g).
-2*(g - 1)*(g + 1)*(g + 107)/9
Suppose 0 = 5*c - 8*n + 7*n + 99, 5*c = 5*n - 95. Let f be 1/(-3) - (19 + c). Solve 2/3*t**3 + 1/6 + f*t + t**2 + 1/6*t**4 = 0 for t.
-1
Let d(g) be the third derivative of g**8/1176 - g**7/15 - 5*g**6/42 + 1708*g**2. Factor d(f).
2*f**3*(f - 50)*(f + 1)/7
Let l(d) be the second derivative of 2*d**6/15 + 6*d**5/5 - 29*d**4 - 776*d**3/3 - 792*d**2 + 5*d - 503. Factor l(s).
4*(s - 9)*(s + 2)**2*(s + 11)
Let s = 286 + -226. Let d be ((-9)/s)/(66/(-55)). Let -1/2*u**2 + 5/8*u - d = 0. Calculate u.
1/4, 1
Let v(i) be the first derivative of -i**4/22 - 104*i**3/33 - 836. Factor v(w).
-2*w**2*(w + 52)/11
What is p in 866/5*p + 1/5*p**2 + 187489/5 = 0?
-433
What is y in 273*y**2 + 331*y**2 - 402*y - 606*y**2 = 0?
-201, 0
Let u = -571 + 595. Suppose -4*y + 4*j = -u, -22 + 0 = -y + 5*j. Factor -32/19*d + 24/19 + 14/19*d**y - 2/19*d**3.
-2*(d - 3)*(d - 2)**2/19
Let v(f) be the third derivative of -1/6*f**4 - 4/3*f**3 + 0 + 0*f - 90*f**2 + 1/15*f**5. Factor v(k).
4*(k - 2)*(k + 1)
Suppose -219 - 697 = -391*v - 67*v. What is s in -3/2*s**v - 9/2*s + 6 = 0?
-4, 1
Suppose 14*d = 9*d + 15. Factor -20*x**2 - x**2 + 75*x - 24*x**2 + d*x**3 + 125 + 2*x**3.
5*(x - 5)**2*(x + 1)
Let z(s) = -s**2 - 32*s - 128. Let p be z(-5). Suppose g + p = 7. Factor -1/9*b**2 + 2/3*b + g.
-b*(b - 6)/9
Factor 188/5 + 2/5*u**2 - 98/5*u.
2*(u - 47)*(u - 2)/5
Let n(p) be the second derivative of -p**6/420 + 2*p**5/35 + 23*p**2 - 7*p + 1. Let m(l) be the first derivative of n(l). Factor m(z).
-2*z**2*(z - 12)/7
Let x be 12*1 + (-14)/427 + (14 - 9807/427). Factor -8/5*q**2 - 2/5*q**x - 21/10*q - 9/10.
-(q + 1)*(2*q + 3)**2/10
Let m = 223 + -210. Factor 4*p**3 - m*p**3 + 6295*p + 30*p**4 - 9*p**5 - 6295*p.
-3*p**3*(p - 3)*(3*p - 1)
Let w(o) = -557*o**2 - 1148*o + 86. Let s(b) = 418*b**2 + 860*b - 64. Let u(y) = 11*s(y) + 8*w(y). Determine n, given that u(n) = 0.
-2, 4/71
Factor -206082/5 - 82176*s + 256*s**3 - 2/5*s**4 - 203516/5*s**2.
-2*(s - 321)**2*(s + 1)**2/5
Let q = 27 - 37. Let n be (-6)/(-4)*q/(-7 - -2). Find j such that 29*j**2 + 50*j**n + 7 - 154*j**2 - 5*j**4 - 7 = 0.
0, 5
Let v(k) = 2*k + 42. Let a be v(0). Let w be 21/a + 3/2. Solve 0*r - 6*r - 7*r**3 - 4 + 4*r + 9*r**3 + 4*r**w = 0 for r.
-2, -1, 1
Let z(w) be the first derivative of w**4/4 - 19*w**3/2 + 211*w**2/4 + 60*w - 4842. Factor z(a).
(a - 24)*(a - 5)*(2*a + 1)/2
Let c(s) be the first derivative of 3*s**4/4 + 24*s**3 + 69*s**2/2 - 3720. Find a such that c(a) = 0.
-23, -1, 0
Solve -136/3 - 25/6*y**2 + 1/6*y**3 + 76/3*y = 0.
4, 17
Suppose -6*c - c = -1029. Suppose 14*b + 21 = c. Factor 39*k**2 - 15*k**2 - 16 - 11*k**2 - b*k**2.
4*(k - 2)*(k + 2)
Let w = 961 + -302. What is r in w*r**2 - 1328*r**2 + 689*r**2 + 5*r**3 = 0?
-4, 0
Let p(q) be the third derivative of q**8/1512 + 22*q**7/945 + q**6/5 + 101*q**5/135 + 163*q**4/108 + 16*q**3/9 + 3*q**2 + 2265. Let p(t) = 0. Calculate t.
-16, -3, -1
Let o(z) be the third derivative of z - 99/2*z**4 - 108*z**3 + 1/84*z**8 + 0 - 4/5*z**6 + 8/105*z**7 - 54/5*z**5 + 21*z**2. Factor o(t).
4*(t - 6)*(t + 1)*(t + 3)**3
Let l(d) = 9*d**3 - 17*d**2 + 10*d + 2. Let r(s) = -50*s - 12 + 368*s**2 - 47*s**3 - 282*s**2 + 1. Let h(k) = -11*l(k) - 2*r(k). Factor 