tor n(q).
-5*(q - 6)*(q + 2)
Let k(c) be the second derivative of 0*c**3 - 3*c - 1/10*c**6 - 39/20*c**5 + 0*c**2 - 3*c**4 + 27. Suppose k(u) = 0. Calculate u.
-12, -1, 0
Let a(m) be the third derivative of -6*m**5/25 - 29*m**4 - 4205*m**3/3 + 491*m**2 - 2*m - 2. Factor a(p).
-2*(6*p + 145)**2/5
Let v = 1/5320 + 2657/15960. Let b(o) be the third derivative of 0*o - 5/8*o**4 - 19*o**2 + v*o**5 + 1/8*o**6 + 0 - 5/3*o**3. Factor b(w).
5*(w - 1)*(w + 1)*(3*w + 2)
Let -20000 - 900*q + 251*q**2 + 172*q**2 - 255*q**2 - 4*q**3 = 0. What is q?
-8, 25
Determine z so that -2/11*z**2 - 2672672/11 + 4624/11*z = 0.
1156
Solve -181400*w**2 - 881792 - 4049*w**4 + 682592*w - 3730*w**4 + 7423*w**4 + 17858*w**3 + 2*w**5 = 0.
4, 83
Let j(y) be the third derivative of -y**7/560 + 231*y**6/320 - 4503*y**5/40 + 30685*y**4/4 - 82308*y**3 - 4*y**2 + 3*y + 47. Factor j(z).
-3*(z - 76)**3*(z - 3)/8
Let l be 93/15 - 3/15. Suppose -l = -3*z - 0*z. Suppose -8*h - 48 + h**2 - h**z - 16*h - 3*h**2 = 0. Calculate h.
-4
Suppose 20*m = 41 + 59. Factor -48 + 42*q**2 + 225 + 23 + 220*q + m*q**3 + 28*q**2.
5*(q + 2)**2*(q + 10)
Let o(d) be the second derivative of -d**4/3 - 44*d**3 + 134*d**2 - 5444*d. Factor o(t).
-4*(t - 1)*(t + 67)
Let l(n) be the first derivative of -n**7/42 + n**6/10 + n**5/10 - n**4 + 4*n**3/3 + 202*n + 204. Let i(f) be the first derivative of l(f). Factor i(k).
-k*(k - 2)**2*(k - 1)*(k + 2)
Let p(b) be the second derivative of 5*b**4/24 - 925*b**3/3 + 171125*b**2 + 945*b. Determine v, given that p(v) = 0.
370
Let n = 194 - 2908/15. Let z(o) = -57*o + 116. Let d be z(2). What is h in 8/15 + 0*h - n*h**d = 0?
-2, 2
Let p(z) be the third derivative of z**5/40 + 153*z**4/4 - 613*z**3/4 + 59*z**2 + 21. What is d in p(d) = 0?
-613, 1
Let w = -514 + 510. Let y be w/(-6) + (3 - (-4)/(-6)). What is p in 0*p + 2/3*p**4 + 0*p**2 + 1/3*p**y + 1/3*p**5 + 0 = 0?
-1, 0
Let p(b) be the second derivative of -b**4/30 + 4*b**3/5 + 108*b**2 - 178*b + 5. What is s in p(s) = 0?
-18, 30
Let h = 1019 - 1016. Let r(b) = -2*b - 10. Let x be r(-7). Factor 45*g**2 + 19*g**3 - g + 10 + 36*g + 6*g**h + 0*g**2 + 5*g**x.
5*(g + 1)**3*(g + 2)
Let z be 7 - 15*(-4 - 4). Let 246 - z - 125 + 15*n - 6*n**2 = 0. What is n?
1/2, 2
Let b(w) be the first derivative of -2/85*w**5 + 0*w + 5/34*w**4 + 3/17*w**2 - 14/51*w**3 - 53. Suppose b(d) = 0. What is d?
0, 1, 3
Factor -43 + 9 - 105 - 71 - 47*p - p**2.
-(p + 5)*(p + 42)
Let n(s) be the second derivative of s**8/73920 - s**7/4620 - s**4/3 - 3*s**3 - 33*s. Let t(c) be the third derivative of n(c). Suppose t(u) = 0. What is u?
0, 6
Let x(u) = -569*u + 3987. Let a be x(7). Let o(t) be the first derivative of 2 - 16*t - 1/2*t**4 + 4/3*t**3 + a*t**2. Factor o(y).
-2*(y - 2)**2*(y + 2)
Suppose 0 = 43*s - 124 - 91. Let a = -33 + 171/5. Let 2/5*c**2 - 4/15*c + 0 + a*c**s + 10/3*c**4 + 14/5*c**3 = 0. What is c?
-1, 0, 2/9
Let -476*z**2 - 8/3 + 220/3*z = 0. Calculate z.
1/17, 2/21
Solve 1142*v - 1066*v + 8836*v**3 - 3424*v - 108 - 38000*v**2 + 12620*v**2 = 0 for v.
-3/47, 3
Let o = 3103 + -27926/9. Let t(j) be the third derivative of 4/9*j**3 + 0*j - 5*j**2 + o*j**4 + 1/90*j**5 + 0. Solve t(v) = 0.
-2
Let w be -11 + (-1 - -191) + -3*1. Let a be (12/16)/(198/w). Factor -a*b**2 + 0*b**4 - 1/3*b**5 + 0 + 0*b + b**3.
-b**2*(b - 1)**2*(b + 2)/3
Suppose -3*w + 28 = h, -2*h + 14 = 2*w - 30. Factor -11*c**2 - 16*c**2 - h*c**2 - c + 47*c**2.
c*(c - 1)
Let c(z) be the second derivative of 63*z + 0*z**4 + 1/5*z**2 - 1/100*z**5 + 1/10*z**3 + 0. Suppose c(d) = 0. What is d?
-1, 2
Find u, given that 2/11*u**4 + 0 + 270/11*u**2 - 276/11*u**3 + 548/11*u = 0.
-1, 0, 2, 137
Suppose 5*b - 9*b = -16. Let q be ((-207)/18 - -13)/(3/b). Factor 3/5*t**q + 0 - 3/5*t.
3*t*(t - 1)/5
Let o(u) = -11*u**4 + 99*u**3 - 460*u**2 - 4*u. Let s(x) = -70*x**4 + 595*x**3 - 2760*x**2 - 25*x. Let h(y) = -25*o(y) + 4*s(y). Factor h(c).
-5*c**2*(c - 4)*(c + 23)
Let h(q) be the third derivative of 9*q**6/160 + 83*q**5/10 + 509*q**4/32 - 73*q**3/4 - 7442*q**2. Factor h(k).
3*(k + 1)*(k + 73)*(9*k - 2)/4
Let r = 257168/385761 - -2/128587. What is z in 0 - 40/3*z - r*z**2 = 0?
-20, 0
Suppose -12/5*d - 53/10*d**3 + 0 + 7/10*d**4 + 7*d**2 = 0. Calculate d.
0, 4/7, 1, 6
Let b(t) be the third derivative of -t**5/60 + 101*t**4/24 - 80*t**3 - 272*t**2 - 1. Factor b(d).
-(d - 96)*(d - 5)
Let o = 242 - 252. Let d(w) = -w**2 - w - 2. Let h(i) = -3*i**2 + 90*i + 40. Let a(n) = o*d(n) - 5*h(n). Factor a(j).
5*(j - 18)*(5*j + 2)
Let z(m) be the second derivative of 1/8*m**3 - 15/2*m**2 + 1/24*m**4 + 1/240*m**5 + 0 + 6*m. Let b(u) be the first derivative of z(u). Factor b(n).
(n + 1)*(n + 3)/4
Let v(d) be the first derivative of -d**5/5 - 4*d**4/3 + 10*d**3/3 + 3*d + 31. Let q(s) be the first derivative of v(s). Factor q(t).
-4*t*(t - 1)*(t + 5)
Let i(d) = 4*d**3 - 3*d**2 + 3*d - 3. Let y be i(2). Let p = 25 - y. What is a in -45*a - 54*a**3 - 40*a**5 + 49*a - 86*a**4 + 2*a**p + 6*a**3 = 0?
-1, -2/5, 0, 1/4
Let n = -628969 - -1257967/2. Suppose -1/4*p**2 + n*p - 841/4 = 0. What is p?
29
Let z(j) = -2*j + 6. Let u be z(14). Let o(b) = 8*b**2 - 8*b - 11. Let y(q) = -2*q**2 + 2*q + 3. Let p(c) = u*y(c) - 6*o(c). Factor p(i).
-4*i*(i - 1)
Let c(i) be the second derivative of 0*i**2 + 1/96*i**4 - 1/240*i**6 + 31*i - 3/160*i**5 + 1/16*i**3 + 0. Suppose c(z) = 0. Calculate z.
-3, -1, 0, 1
Let f be -5*6/(-120) + (-84)/16*(-1)/3. Factor 15*b**f + 0*b + 0 + 1/2*b**3.
b**2*(b + 30)/2
Suppose -509 = 4*p - 685. Suppose p = 25*r - 106. Factor 2/3*o**4 + 0 + 4*o**3 + r*o**2 + 0*o.
2*o**2*(o + 3)**2/3
Let r(m) = 20*m**2 + 672*m - 9800. Let s(d) = -12*d**2 - 405*d + 5880. Let o(a) = 7*r(a) + 12*s(a). Factor o(k).
-4*(k - 10)*(k + 49)
Let j be (0*(-4)/(-8))/(-262 - -265). Factor -26/7*m**2 + j - 4/7*m**3 - 20/7*m + 2/7*m**4.
2*m*(m - 5)*(m + 1)*(m + 2)/7
What is b in 11/7*b**3 + 0 + 1/7*b**5 - b**4 - 5/7*b**2 + 0*b = 0?
0, 1, 5
Let g be -107 - (-72 + -7) - -28. Factor 2/3*x**2 + g + 14*x.
2*x*(x + 21)/3
Let x(o) be the second derivative of -4/11*o**3 - 2/33*o**4 - 17 + 1/110*o**5 + 0*o**2 + 2*o. Factor x(s).
2*s*(s - 6)*(s + 2)/11
Let f = 578 - 582. Let x(v) = -v**4 + 9*v**3 + 26*v**2 + 8*v. Let c(j) = j**4 + 2*j**3 + j**2 + j - 2. Let p(h) = f*c(h) - x(h). Factor p(w).
-(w + 2)**3*(3*w - 1)
Let x = 44173 + -44170. Suppose 15/7 + 3/7*l**4 + 54/7*l**2 - 48/7*l - 24/7*l**x = 0. Calculate l.
1, 5
Determine z, given that 134*z**2 + 550 - 260 - 65*z**2 - 70*z**2 + 452 - 741*z = 0.
-742, 1
Let h(p) be the second derivative of p**5/100 - 11*p**4/15 - 91*p**3/30 - 23*p**2/5 - 2032*p. Solve h(w) = 0.
-1, 46
What is l in -12 + 118/5*l - 2/5*l**3 - 56/5*l**2 = 0?
-30, 1
Let s be -4 + ((-154)/33 - (-1 - 9)). Let p = -397/3 - -135. Factor -s - p*c**2 + 10/3*c + 2/3*c**3.
2*(c - 2)*(c - 1)**2/3
Let t(j) = 11*j**2 + 8535*j + 1664554. Let s(u) = -u**2 - 776*u - 151323. Let m(y) = -23*s(y) - 2*t(y). Factor m(k).
(k + 389)**2
Let p(d) = d**2 - 166. Let b be p(-13). Suppose 4*y - 124 = -104, -3*y = b*f - 21. Suppose 11/4*q + 4*q**f + 1/2 + 7/4*q**3 = 0. What is q?
-1, -2/7
Let l be ((-6)/(-14))/(-24 - 19530/445920*-548). Find i, given that 300/7*i**2 + 84*i**5 + 524*i**4 - 80/7 - 416/7*i + l*i**3 = 0.
-5, -1, -2/7, 1/3
Suppose -4 = 32*x - 34*x. Let v(u) = -2*u**5 - 2*u**4 + 6*u**2 + 4*u. Let y(t) = -10*t**5 - 9*t**4 + 31*t**2 + 21*t. Let w(d) = x*y(d) - 11*v(d). Factor w(k).
2*k*(k - 1)*(k + 1)**3
Suppose -1762 = -12*c - 118. Let d = 415/3 - c. Find o, given that 8/3 - 4/3*o + d*o**3 - 8/3*o**2 = 0.
-1, 1, 2
Let g = -551 + 1029. Let z = -473 + g. Solve 2/3*j + 0*j**4 + 0 - 5/6*j**3 + 0*j**2 + 1/6*j**z = 0 for j.
-2, -1, 0, 1, 2
Let u be 1 - (-2)/(-10) - (-144)/45. Suppose -30*z - 44*z + 40*z**3 + 4*z**2 + 34*z - u*z**4 = 0. Calculate z.
-1, 0, 1, 10
Let c(v) = 16*v**2 - 26*v - 8. Let f be c(2). Let s(z) be the second derivative of -1/150*z**5 + 0*z**2 - 1/9*z**3 - 1/15*z**f - 13*z + 0. Solve s(b) = 0 for b.
-5, -1, 0
Solve 32*w**2 - 91*w - 6*w + w - 3*w**3 + w**3 = 0.
0, 4, 12
Let i = 18905 - 18862. Let f(s) be the first derivative of 24/5*s + 1/10*s**4 - i + 74/45*s**3 + 8*s**2. Determine l, given that f(l) = 0.
-6, -1/3
Let z(u) be the first derivative of 4*u**2 - 2/5*u**5 + 219 + 0*u - 16/3*u**3 + 5/2*u**4. Solve z(t) = 0.
0, 1, 2
Let u(l) = -l*