vative of -d**8/32 - 2*d**7/21 - d**6/120 + 3*d**5/10 + 23*d**4/48 + d**3/3 + 610*d**2. Find x such that a(x) = 0.
-1, -4/7, -1/3, 1
Let s(z) be the first derivative of -3/7*z**4 + 0*z - 4/7*z**3 - 89 + 9/35*z**5 + 0*z**2. Factor s(h).
3*h**2*(h - 2)*(3*h + 2)/7
Factor 12*h - 1132*h**2 - h**4 - h**4 + 18*h**3 + 0*h**4 + 1159*h**2 + 5*h**4.
3*h*(h + 1)**2*(h + 4)
Let z(n) be the first derivative of 49/5*n**5 + 28*n - 33 + 41*n**3 + 91*n**4 - 82*n**2. Factor z(c).
(c + 1)*(c + 7)*(7*c - 2)**2
Suppose 0 = -t, -l - 7*t + 4 = -4*t. Factor 150*w**3 - 24 - 41*w + l - 151*w**3 - 14*w**2 - 6 - 2*w**2.
-(w + 1)*(w + 2)*(w + 13)
Determine a so that -3*a**5 + 4731*a**2 + 7*a**5 - 16*a + 12*a**3 - 16*a**4 - 4715*a**2 = 0.
-1, 0, 1, 2
Suppose 568*r = 622 + 1650. Factor 0 - z**2 + z**r - 1/2*z**3 + 1/2*z.
z*(z - 1)*(z + 1)*(2*z - 1)/2
Let z = -57 + 62. Suppose 2*b + 8 = 4*q, -b - z*q = -5*b - 4. Find d, given that 2/7*d**b - 2/7*d**5 + 0*d**3 + 0 + 0*d + 0*d**2 = 0.
0, 1
Let z(g) be the first derivative of -g**4 - 212*g**3/3 - 582*g**2 - 1692*g - 5077. Factor z(b).
-4*(b + 3)**2*(b + 47)
Let i(m) = 3*m**3 + m**2 - 7*m. Let p(s) = -124*s**3 - 5888*s**2 - 4600*s - 928. Let d(n) = -8*i(n) - p(n). Determine c so that d(c) = 0.
-58, -2/5
Let x(r) = -9*r**3 - 248*r**2 + 121*r + 256. Let v be x(-28). Factor -20/3*k**2 - v*k**4 - 28/3*k**3 + 0 - 4/3*k.
-4*k*(k + 1)**2*(3*k + 1)/3
Factor -527*j - 305*j + 23 + 2*j**2 + 86505 - 5*j**2 + 5*j**2.
2*(j - 208)**2
Let d(p) be the third derivative of -20*p**2 + 0 + 0*p + 2/165*p**5 - 1/660*p**6 - 5/132*p**4 + 2/33*p**3. Factor d(q).
-2*(q - 2)*(q - 1)**2/11
Let o(f) be the third derivative of f**5/110 - 521*f**4/132 + 346*f**3/33 + f**2 - 175*f. Suppose o(v) = 0. What is v?
2/3, 173
Let z(a) be the third derivative of a**5/80 + 3*a**4/16 + a**3 + 2*a**2 + 7*a. Factor z(r).
3*(r + 2)*(r + 4)/4
Suppose -5*q - 11245 = -18*q. Suppose 863 = -h + q. Factor 2/7*i**h - 8/7 - 6/7*i.
2*(i - 4)*(i + 1)/7
Let i = -9770122/15 + 651342. Let a = 24/13 - 20/39. Suppose 8/5*s**4 - a*s**2 - 2/3*s**5 + 6/5*s - 4/15 - i*s**3 = 0. What is s?
-1, 2/5, 1
Let z = 806/9 + -803/9. Let k(m) be the second derivative of 1/3*m**4 + z*m**3 + 0 - 21*m + 0*m**2. Factor k(n).
2*n*(2*n + 1)
Let z(g) = -15*g**2 + 20*g**2 - 101*g**2 + 58*g + 150 + 26*g**2 - 2*g**3. Let o(f) = f**3 + 71*f**2 - 59*f - 149. Let w(j) = 6*o(j) + 5*z(j). Solve w(h) = 0.
-1, 2, 18
Let v be (-963980)/(-630) + 32/72. Let p = v + -1528. Factor p*a**2 + 3/7*a**4 + 3/7 - 12/7*a**3 - 12/7*a.
3*(a - 1)**4/7
Suppose 54 = -6*p + 60. Let d(z) = z**3 + z**2 + z + 2. Let g(s) = 11*s**3 - 18*s**2 + 6*s + 4. Let o(b) = p*g(b) - 2*d(b). Solve o(q) = 0.
0, 2/9, 2
Let o(t) be the second derivative of t**5/20 + t**4/6 - 7*t**3/6 + 2*t**2 - t - 1148. Suppose o(i) = 0. What is i?
-4, 1
Let z(h) be the first derivative of 4*h**3/3 - 534*h**2 + 2120*h - 537. Let z(y) = 0. What is y?
2, 265
Suppose 3*t = -4*s + 34, -37*t + 3*s - 11 = -32*t. Let k(c) be the first derivative of 4/5*c**5 - 16*c**t - 12*c - 8*c**3 + 0*c**4 + 30. Factor k(p).
4*(p - 3)*(p + 1)**3
Suppose 0 = -i - 2*l + 3, -l + 9 = 2*l. Let m be i*(-8)/18*3. Factor -4*n - 16*n**2 - 24*n**3 + 5*n**2 - 12*n**4 + n - m*n**2.
-3*n*(n + 1)*(2*n + 1)**2
Suppose y - 379*o = -388*o + 148, -5*y + 68 = 3*o. Factor 0*h**2 + 0*h**3 + 0*h + 3*h**5 - 3/4*h**y + 0.
3*h**4*(4*h - 1)/4
Suppose 357*r - 360*r = -p - 18, -p = 5*r - 30. Solve -1/8*i**3 + p + 5/8*i**2 + 3/4*i = 0.
-1, 0, 6
Let t be -2 + 0 + 68 + -4. Let y be (4 - -6)*t/5. Factor -132*b**4 + 16 + 57*b - y*b**2 + 212*b**3 + 28*b**5 - 57*b.
4*(b - 2)*(b - 1)**3*(7*b + 2)
Let t be (-5400)/12600 + ((-62)/(-14) - 1). Determine z, given that -16/11*z - 162/11*z**5 - 558/11*z**4 - 548/11*z**t + 0 - 168/11*z**2 = 0.
-2, -1, -2/9, 0
Let m(v) be the third derivative of v**7/420 + 127*v**6/480 + 185*v**5/24 - 1771*v**4/32 + 363*v**3/4 + 2*v**2 + 199*v. Let m(i) = 0. What is i?
-33, 1/2, 2
Let c(d) = 57*d - 22*d - d**2 - 33*d. Let f(o) = o**3 + 8*o**2 - 4*o. Let g(l) = 5*c(l) - f(l). Factor g(b).
-b*(b - 1)*(b + 14)
Let f(l) be the first derivative of l**4/6 - 43*l**3/3 + 25*l + 232. Let o(u) be the first derivative of f(u). Factor o(d).
2*d*(d - 43)
Let x(w) = 4*w**5 - 5*w**4 - 26*w**3 + 3*w**2 + 4*w - 16. Let i(t) = -3*t**5 + 3*t**4 + 25*t**3 - 6*t**2 - 5*t + 20. Let f(g) = 4*i(g) + 5*x(g). Factor f(l).
l**2*(l - 3)*(l + 1)*(8*l + 3)
Suppose 0 = 3*q - 4*g - 129, -4*q + q = 2*g - 129. What is a in 11*a - 69*a + 5*a**2 + q*a = 0?
0, 3
Factor 52*p**2 - 15*p**3 - 72*p**2 - 50*p**2 - 105*p**2 - 55*p**2 - 285*p - 70.
-5*(p + 1)*(p + 14)*(3*p + 1)
Let l = -369 - -371. Factor -52*m**3 + 8*m + 64*m**3 - 26*m**2 - 8 - l*m**4 + 16*m.
-2*(m - 2)**2*(m - 1)**2
Factor 4/7 + 494/7*l**3 + 486/7*l - 984/7*l**2.
2*(l - 1)**2*(247*l + 2)/7
Suppose -924 = -275*o - 33*o. Let u(p) be the second derivative of 20*p - 13/2*p**o + 3*p**2 + 0 + 11/4*p**4. Solve u(k) = 0 for k.
2/11, 1
Suppose -2*f + f = -5*m + 60, -3*f = -15. What is x in -x + 0*x**2 - 2*x - m*x - 60*x**4 + 40*x**2 + 16*x**3 + 36*x**2 - 16 = 0?
-1, -2/5, 2/3, 1
Let z = -111 - -9. Let c = -99 - z. Factor -21*h - 8*h**2 - 2 - 10 + c*h**3 + 2*h**2 + 0.
3*(h - 4)*(h + 1)**2
Let m(t) be the second derivative of -5*t**7/42 - t**6/3 + 3*t**5/4 + 5*t**4/3 - 10*t**3/3 - 4*t - 398. Factor m(b).
-5*b*(b - 1)**2*(b + 2)**2
Let l(s) = -3*s**4 + 4*s**3 - 74*s**2 + 244*s - 123. Let a(w) = w**4 + w**3 - 16*w**2 + w + 1. Let h(r) = 20*a(r) + 5*l(r). Factor h(o).
5*(o - 7)*(o - 1)**2*(o + 17)
Let t = 5341/3 - 1780. Let l(m) be the first derivative of 2/9*m**3 - 2/3*m + 2 - t*m**2 + 1/6*m**4. Find v such that l(v) = 0.
-1, 1
Solve -7442/5 - 244/5*l - 2/5*l**2 = 0 for l.
-61
Let l(q) be the first derivative of q**4/3 + 64*q**3/9 - 354*q**2 + 3672*q - 7980. Factor l(i).
4*(i - 9)**2*(i + 34)/3
Let n(p) be the first derivative of -2*p**3/15 + 102*p**2 - 1018*p/5 + 2164. Solve n(d) = 0 for d.
1, 509
Let k(y) be the third derivative of -y**5/510 + 1171*y**4/102 - 1371241*y**3/51 + 263*y**2 + 6*y + 1. Determine s so that k(s) = 0.
1171
What is b in 82012/3*b + 809/6*b**2 + 81608/3 + 1/6*b**3 = 0?
-404, -1
Let p(u) be the second derivative of -u**4/30 - 1369*u**3/15 - 1368*u**2/5 - 631*u + 3. Suppose p(o) = 0. Calculate o.
-1368, -1
Solve -18/7*f**2 - 2376/7 + 6*f**4 + 34*f**3 - 2592/7*f + 2/7*f**5 = 0 for f.
-11, -6, -1, 3
Let -31/5*o**2 - 901/5*o - 58/5 = 0. What is o?
-29, -2/31
Suppose -13*i + 4 = -12*i. Let v be 1012/242 + i/(-22). Factor -4*t**5 - 668*t - v*t**2 + 8*t**3 + 4*t**2 + 664*t.
-4*t*(t - 1)**2*(t + 1)**2
Let m(x) be the second derivative of -x**6/720 + x**5/60 + 5*x**4/48 - x**3/2 + x**2 - 58*x + 1. Let w(o) be the second derivative of m(o). Solve w(g) = 0.
-1, 5
Let v(s) be the third derivative of 1/3*s**3 + 0*s + 0 - 75*s**2 - 1/150*s**5 - 1/15*s**4. Solve v(w) = 0 for w.
-5, 1
Let x be (-7)/(((-4)/(-16)*-4)/1). Let c be (-35)/(-15)*3 - (12 - x). Solve -5*t - 5/4*t**3 + 5*t**c + 0 = 0.
0, 2
Let a(m) be the third derivative of -2*m**7/105 + 31*m**6/30 - 107*m**5/15 - 31*m**4/6 + 72*m**3 + 313*m**2 + 1. Suppose a(z) = 0. What is z?
-1, 1, 4, 27
Let b(y) = 8*y**2 + 921*y + 934. Let o(c) = 145*c**2 + 16580*c + 16820. Let d(w) = 55*b(w) - 3*o(w). Factor d(h).
5*(h + 1)*(h + 182)
Let k be 4/(-18)*(-33)/22*3. Suppose q - 2 = k. Let -12*j + j**2 + 12*j**q - 3 + 3*j**2 - 3 + 2 = 0. Calculate j.
-1, -1/3, 1
Suppose 0 = 5*n - 80 + 40, 5*n = r + 40. Let v(h) be the third derivative of 1/20*h**5 + r*h + 3/4*h**4 - 16*h**2 + 0 + 4*h**3. Let v(w) = 0. What is w?
-4, -2
Let c(i) be the third derivative of -i**8/4480 + 23*i**7/1680 - 3*i**4/2 - 28*i**2 - 3. Let v(q) be the second derivative of c(q). Find j such that v(j) = 0.
0, 23
Determine w, given that -16/5*w**2 - 126/5 - 1/5*w**3 + 99/5*w = 0.
-21, 2, 3
Suppose 0 = 4*q - 30 - 2. Let v = 19 - q. Factor -8*i**2 + 56*i + 5*i**3 + 38*i**2 - v*i.
5*i*(i + 3)**2
Suppose -372*l**5 + 205*l**5 + 28*l**3 - 2160*l**2 + 170*l**5 + 57*l**4 + 44*l**3 = 0. What is l?
-12, 0, 5
Let l(p) be the first derivative of -2*p**3/21 - 319*p**2/7 + 6798. Factor l(u).
-2*u*(u + 319)/7
Factor -29/5*p**3 + 1043/5*p**2 - 979/5*p - 7.
-(p - 35)*(p - 1)*(29*p + 1)/5
Factor -84 - 56*b - 66 - 98 + 300*b + 4*b**2.
4*(b - 1)*(b + 62)
Let u(l) be the first derivative of 1