Factor s(v).
-5*(v - 1)*(5*v + 1)
Determine u, given that 3520 - 1270*u**2 + 3107*u + 240*u - 205*u**3 + 1196*u + 190*u**3 - 103*u = 0.
-88, -2/3, 4
Let f(x) be the second derivative of 19*x**6/24 + 2563*x**5/80 + 7677*x**4/16 + 22923*x**3/8 - 729*x**2/4 + 8101*x. Factor f(t).
(t + 9)**3*(95*t - 2)/4
Let k be 14/20*((-2)/(-9))/(448/96). Let y(c) be the second derivative of -12*c + k*c**6 - 1/12*c**4 + 1/20*c**5 + 0 - 1/6*c**3 + 0*c**2. Factor y(d).
d*(d - 1)*(d + 1)**2
Let x be 170/(-20)*1 - 44*(-4)/16. Factor 0 - 25/4*a**2 + 5/2*a**3 + x*a.
5*a*(a - 2)*(2*a - 1)/4
Let a(d) be the second derivative of -d**5/5 + 8*d**4/3 + 106*d**3/3 - 120*d**2 + 1430*d. Let a(i) = 0. Calculate i.
-5, 1, 12
Let i be 143/(51480/288)*10/18. Let a be (-2)/(-4) + 5/(-18). Factor a*r**4 + 0*r**2 - 2/9 + 4/9*r**3 - i*r.
2*(r - 1)*(r + 1)**3/9
Let z be (-80)/(-280) - 2/7. Let u(n) be the second derivative of 0 + z*n**2 - 1/39*n**4 + 0*n**3 + 25*n + 1/130*n**5. Factor u(q).
2*q**2*(q - 2)/13
Factor -11399*v**2 + 5695*v**2 - 16418704 + 5700*v**2 - 16208*v.
-4*(v + 2026)**2
Factor -564 + 3/2*p**2 + 1125/2*p.
3*(p - 1)*(p + 376)/2
Suppose -4 = -418*f + 420*f - 16. Let j(z) be the second derivative of 0*z**3 + 0*z**5 - 1/12*z**4 + 0*z**2 - 47*z + 1/30*z**f + 0. What is r in j(r) = 0?
-1, 0, 1
Let p = 125088/4781 + 864/683. Solve 4/7*u**3 + 2304/7*u + p*u**2 + 0 = 0.
-24, 0
Let f(j) = -2*j - 3*j**2 + 8 + 3*j - 4*j**2. Let x(u) = -146571 + u + 146571 + u**2. Let y(r) = f(r) + 5*x(r). Factor y(d).
-2*(d - 4)*(d + 1)
Suppose 345 = 40*z - 255. Let v be z/6*4/10*2. Let 4/7 - 2*o + 6/7*o**v = 0. Calculate o.
1/3, 2
Let v(w) be the first derivative of -115/2*w**2 + 96 + 55*w + 65/3*w**3 - 5/4*w**4. Factor v(a).
-5*(a - 11)*(a - 1)**2
Let d be 231/1980*(-160)/(-112). Factor 0 + 0*b - 5/3*b**2 - d*b**3.
-b**2*(b + 10)/6
Let o(r) be the first derivative of -r**5/5 + 63*r**4/4 + 137*r**3/3 - 459*r**2/2 + 260*r + 12343. Factor o(g).
-(g - 65)*(g - 1)**2*(g + 4)
Suppose -9*n = 386*n - 74*n - 340 - 623. What is v in -98/3*v**2 - 44/3 + 10*v**n + 38*v - 2/3*v**4 = 0?
1, 2, 11
Suppose 20*j - 154 = 6*j. Let b(w) be the first derivative of -6*w**4 - 32*w - j*w**2 - 7*w**2 + 6*w**2 + 7*w**4 + 4*w**3 + 20. Let b(z) = 0. Calculate z.
-4, -1, 2
Let k(i) be the third derivative of 2*i**2 + 0*i**4 + 0*i - 1/25*i**5 + 3/560*i**8 + 11/200*i**6 + 0*i**3 - 1/35*i**7 - 4. Factor k(p).
3*p**2*(p - 1)**2*(3*p - 4)/5
Let x(v) be the first derivative of 60*v - 65/2*v**2 - 67 + 5/3*v**3. Factor x(c).
5*(c - 12)*(c - 1)
Let f(k) be the second derivative of k**7/315 + k**6/45 - k**5/90 - k**4/9 + 43*k**2/2 + 75*k. Let b(x) be the first derivative of f(x). Factor b(m).
2*m*(m - 1)*(m + 1)*(m + 4)/3
Let q(y) = y**4 - y**3 - y**2 - y + 12. Let n(k) = -4*k**4 + 485*k**3 + 57605*k**2 + 5*k - 60. Let u(j) = -n(j) - 5*q(j). Solve u(o) = 0 for o.
-240, 0
Suppose -7 + 22 = 11*g - 7. Let r(a) be the third derivative of 0*a - 5/6*a**4 + 0 + 10/3*a**3 + 1/12*a**5 - 18*a**g. Find l, given that r(l) = 0.
2
Let g(y) be the second derivative of -y**5/20 + 35*y**4/12 + 56*y**3/3 + 38*y**2 - 239*y - 2. Factor g(v).
-(v - 38)*(v + 1)*(v + 2)
Let d = 68273/8 - 8488. Let s = 1909/40 - d. What is m in 1/5*m**2 + s - 9/5*m = 0?
1, 8
Let o(y) be the third derivative of y**6/40 + 9*y**5/10 + 101*y**4/8 + 84*y**3 - y**2 + y + 54. Find w, given that o(w) = 0.
-8, -7, -3
Let f(y) = -4*y**3 - y**2 - 4*y - 2. Let x be f(-1). Suppose 108 = i - x*a, 4*a = 5*i - a - 460. Factor 64 + 17/4*o**4 + 28*o**3 + 1/4*o**5 + 128*o + i*o**2.
(o + 1)*(o + 4)**4/4
Suppose 88*l + 561*l + 1028*l + 520 - 121*l + 1158*l**2 - 9*l**3 + 0*l**3 = 0. What is l?
-2/3, 130
Let s(c) = -90*c**3 - 17340*c**2 - 6944*c - 697. Let m(t) = -46*t**3 - 8670*t**2 - 3470*t - 348. Let b(d) = 10*m(d) - 4*s(d). Let b(k) = 0. What is k?
-173, -1/5
Suppose 4 = -12*n + 8*n. Let z(i) = -10*i**2 + 20*i + 30. Let q(b) = 2*b**2 + b - 1. Let o(k) = n*z(k) - 6*q(k). Factor o(w).
-2*(w + 1)*(w + 12)
Let r = 1598 - 1611. Let u be (-1075)/(-1300) + 1/r. Find j, given that -u*j**2 + 0*j + 1/4*j**3 + 1 = 0.
-1, 2
Factor -520*p + 3*p**3 + 22 + 158 + 33*p**2 + 352*p.
3*(p - 2)**2*(p + 15)
Suppose 184*a = -4451 + 4819. Solve -4/13*p**4 - 2/13*p**5 - a*p + 8/13*p**2 + 12/13 + 12/13*p**3 = 0 for p.
-3, -2, 1
Suppose -6*x - 927 = -52*m + 47*m, 4*x = 6*m - 1138. Suppose 26364/5 - 213*u**3 + 4056*u - 3/5*u**5 + m*u**2 + 21*u**4 = 0. What is u?
-2, 13
Let v be ((0 + -278)*1)/(63 + -65). What is o in -12 - 128*o - 27*o**2 - 5 + 72*o - 25 - v*o = 0?
-7, -2/9
Let v(n) = 7*n + 194. Let b be v(-30). Let l be ((-9)/27)/(b/108). Let -l*q**3 + 3/4*q**5 + 0 + 0*q + 0*q**4 - 3/2*q**2 = 0. What is q?
-1, 0, 2
Factor 106/5 + 49/10*t - 1/10*t**2.
-(t - 53)*(t + 4)/10
Let t(n) be the first derivative of -n**4/16 + n**3/12 + 47*n**2/4 + 44*n + 697. Solve t(d) = 0.
-8, -2, 11
Suppose -2*h + 814 = 4*w, w + 4*h = -3*w + 804. Let k be (w/309)/(4/18). Find a, given that -5*a + 8/3 + 2*a**2 + 1/3*a**k = 0.
-8, 1
Let o = -26 + 42. Let m(r) = -4*r**2 + 53*r + 5. Let j(l) = -12*l**2 + 160*l + 16. Let d(b) = o*m(b) - 5*j(b). Suppose d(u) = 0. What is u?
0, 12
Let x(l) be the first derivative of l**6/6 - 151*l**5/3 + 4071*l**4 - 56048*l**3/3 - 30752*l**2/3 - 8154. Determine z, given that x(z) = 0.
-1/3, 0, 4, 124
Let b(y) = -2*y**5 - y**3 - 2*y**2 - 1. Let t(l) = -5*l**5 - 10*l**4 - 10*l**2 - 5. Let z(n) = 5*b(n) - t(n). Factor z(d).
-5*d**3*(d - 1)**2
Let u(f) be the first derivative of f**6/60 + f**5/15 - 13*f**2 - 6. Let v(j) be the second derivative of u(j). Suppose v(b) = 0. Calculate b.
-2, 0
Let b(x) be the third derivative of -x**5/2 + 9*x**4/8 + x**3/2 - 92*x**2 - x. Suppose b(v) = 0. Calculate v.
-1/10, 1
Solve 553/2*d**3 - 553/2*d + 0 + 1/2*d**2 - 1/2*d**4 = 0.
-1, 0, 1, 553
Determine o so that 1/8*o**4 - 141/2*o**3 + 0*o**2 + 0*o + 0 = 0.
0, 564
Let w(h) = 5*h**3 + 345*h**2 + 6965*h + 33625. Let f(x) = 2*x + 2. Let r(m) = -5*f(m) - w(m). Find n, given that r(n) = 0.
-31, -7
Let s be 5*4*(-12)/(-120). Let v(u) be the third derivative of -8*u**s + 1/90*u**5 + 0*u + 0 + 16/9*u**3 - 2/9*u**4. Let v(b) = 0. What is b?
4
Let d(i) be the second derivative of 8*i**7/147 - 2*i**6/5 + i**5/14 + 4*i**4/7 + 5*i**3/21 - 80*i + 6. Find o, given that d(o) = 0.
-1/2, -1/4, 0, 1, 5
Let j(o) be the second derivative of -o**5/30 - 185*o**4/18 + o**3/9 + 185*o**2/3 - 987*o - 2. Find q such that j(q) = 0.
-185, -1, 1
Let f(y) be the third derivative of 0*y - 1/7*y**7 - 4/15*y**5 + 0*y**4 - 2*y**2 - 174 + 0*y**3 + 23/60*y**6 - 3/224*y**8. Find j such that f(j) = 0.
-8, 0, 2/3
Let w(u) be the second derivative of -u**5/140 + 29*u**4/84 - 40*u**3/7 + 306*u**2/7 + 15*u - 14. Find a, given that w(a) = 0.
6, 17
Suppose -4*u**2 - 4*u**4 - 8*u**2 + 32*u**3 - 43*u**3 + 5*u**4 = 0. What is u?
-1, 0, 12
Let l(u) = 3*u - 228*u - 6*u**3 + 199 - 159*u - 1219 - 48*u**2. Let m(s) = -17*s**3 - 144*s**2 - 1152*s - 3061. Let x(a) = -11*l(a) + 4*m(a). Factor x(r).
-2*(r + 8)**3
Suppose 9999 = 5*c - 2*o, -5*c + 2*o + 10005 = -3*o. Let z = 5617 - c. Suppose -z + 15*s + 3618 + 9*s**2 = 0. What is s?
-5/3, 0
Let d be (-2)/5*(-10 - 10). Solve -39*b**3 + 19*b**4 - d*b**2 - 35*b**4 + 59*b**3 + 5*b**5 - b**5 = 0 for b.
0, 1, 2
Let l(i) be the third derivative of i**5/160 - 101*i**4/64 + 97*i**3/4 + 3050*i**2. What is n in l(n) = 0?
4, 97
Suppose 293*s - 665 = 298*s. Let b be (2/14)/(114/s)*-1. Solve -1/6*w**2 - b - 1/3*w = 0.
-1
Suppose -4*r + 215 = 5*w, 4*w - 130 = -r + 31. Suppose w*g - 60 = 9*g. Determine v so that -3/2*v - 1/2*v**3 + 0 - g*v**2 = 0.
-3, -1, 0
Let c(x) be the third derivative of 37*x**6/360 + x**5/60 - 167*x**3/6 - 46*x**2. Let g(y) be the first derivative of c(y). Factor g(p).
p*(37*p + 2)
Let t = -63 - -81. Factor -50 - t*k + 2*k**2 + k - 31*k.
2*(k - 25)*(k + 1)
Let o(h) be the second derivative of 1/2*h**3 + 6*h**2 - h**4 + 35*h + 2 - 3/20*h**5. Suppose o(c) = 0. Calculate c.
-4, -1, 1
Suppose 2*w = 1591*p - 1592*p + 9, w + 27 = 3*p. Find n such that 0 + 4*n**2 + w*n - 8/3*n**3 + 4/9*n**4 = 0.
0, 3
Let p(j) be the first derivative of 70 + 0*j**2 + 4/5*j - 1/20*j**4 - 1/5*j**3. Factor p(n).
-(n - 1)*(n + 2)**2/5
Let d = -127125 + 127129. Factor 0 + 0*s - 40/9*s**3 + 100/9*s**2 + 4/9*s**d.
4*s**2*(s - 5)**2/9
Factor -4/3*l + l**3 + 0*l**