rst derivative of -5*m**6/24 + 5*m**5/4 - 5*m**4/16 - 35*m**3/4 + 45*m**2/4 - 606. Find t, given that q(t) = 0.
-2, 0, 1, 3
Let p = -149 + 158. Let w(t) = 2411*t**2 - 3511*t + 1271. Let y(m) = 603*m**2 - 878*m + 318. Let j(r) = p*y(r) - 2*w(r). Factor j(q).
5*(11*q - 8)**2
Let a be 0 + 0 + 54/116. Let g = a - -1/29. Factor -g - 1/2*m**4 + 1/2*m - m**3 + 1/2*m**5 + m**2.
(m - 1)**3*(m + 1)**2/2
Suppose 13*c = -6*c + 38. Let g(h) be the third derivative of 0*h + 0*h**3 + 0 - 1/60*h**4 + 10*h**c + 1/300*h**5. Solve g(v) = 0 for v.
0, 2
Factor -21*w + 0 - 8145*w**3 + 8112*w**3 - 6 + 60*w**2.
-3*(w - 1)**2*(11*w + 2)
Let u(w) be the third derivative of -w**7/210 - 7*w**6/360 - w**5/36 - w**4/72 + 25*w**2. Solve u(x) = 0.
-1, -1/3, 0
Let r be (32/(-126))/((-108)/486). Determine s so that 12/7*s**3 - 2/7*s**5 - r*s**2 - 16/7*s + 2/7*s**4 + 0 = 0.
-2, -1, 0, 2
Let u(n) be the first derivative of -n**6/63 + 2*n**5/105 + n**4/21 + 66. Factor u(y).
-2*y**3*(y - 2)*(y + 1)/21
Suppose 18*p - 50 = -7*p. Let i(d) be the first derivative of d - 1/6*d**3 + 1/4*d**p + 2. Suppose i(w) = 0. What is w?
-1, 2
Let q(c) be the second derivative of -c**6/75 - c**5/25 - c**4/30 - 2*c - 43. Let q(p) = 0. Calculate p.
-1, 0
Suppose 0 = -141*n + 74*n - 4 + 4. Factor 1/3*s**2 + n + 0*s.
s**2/3
Let x(g) = g + 4. Let z be x(-3). Let v be ((-1)/z)/((-3)/9). Determine r, given that -5*r**2 - 27*r**2 - 2*r**4 - v*r**3 - 8 + 24*r + 15*r**3 + 6*r**2 = 0.
1, 2
Let n(u) = u**3 - 5*u**2 + 3*u + 8. Let h be n(4). Suppose 0*d**4 + 2*d**h + d**5 - 171 + d**3 + 171 = 0. Calculate d.
-1, 0
Suppose -2 = -3*g - z + 1, 0 = -5*g + 2*z + 5. Let a(i) be the first derivative of -1/3*i**3 + 0*i - 1/2*i**2 + g. Let a(t) = 0. What is t?
-1, 0
Suppose -x = 24*x - 100. Let u(h) be the second derivative of -6*h - 1/48*h**x + 0*h**2 + 1/12*h**3 + 0. Factor u(c).
-c*(c - 2)/4
Let q be (-44)/(-12) + (-6)/(-18). Let i(p) be the second derivative of -1/4*p**2 + 0 - 1/120*p**5 - 7/36*p**3 - 5/72*p**q - 2*p. Solve i(r) = 0 for r.
-3, -1
Suppose -11*b - 8 = -13*b. Factor -o**5 + 2*o**4 - 3*o**4 + 0*o**b + 0*o**4.
-o**4*(o + 1)
Let z be 264/180 + (-3)/(-15). Factor 10/3*x - z*x**2 - 5/3.
-5*(x - 1)**2/3
Let y be 2/(-9) - (4/6 + (-140)/36). Factor 1/3*b**4 - 4/3*b + 1/3 - 4/3*b**y + 2*b**2.
(b - 1)**4/3
Let o(p) = 4*p**4 - 11*p**3 + 21*p**2 + 7*p - 35. Let b(d) = -d**4 + d**2 - d + 1. Let w(v) = 3*b(v) + o(v). Suppose w(y) = 0. Calculate y.
-1, 2, 8
Suppose -j - 36 = 39. Let h = -75 - j. Suppose 0 + 0*z - 3/5*z**3 + h*z**2 = 0. Calculate z.
0
Let u = -453 + 640. Let h be u/(-136) + 3/2. Factor 1/8*k**2 + h*k + 0.
k*(k + 1)/8
Let z be (-20)/(-15) + (-2)/(-3). Factor 3*q - 4*q - 23*q**2 - q**4 + z*q + 3*q**3 + 20*q**2.
-q*(q - 1)**3
Suppose 46*w - 26 + 278*w - 115*w**3 + 134*w - 34 - 105*w**2 + 242*w = 0. Calculate w.
-3, 2/23, 2
Suppose -2*j - 3*y = -2*y - 145, 3*j - 216 = -2*y. Let i = j + -72. Factor 0*w - 2/7*w**4 - 6/7*w**5 + 0 + 0*w**i + 4/7*w**3.
-2*w**3*(w + 1)*(3*w - 2)/7
Let k(a) be the third derivative of -a**6/30 + 38*a**5/15 - 100*a**2 - 2. Factor k(v).
-4*v**2*(v - 38)
Let j(y) be the third derivative of -y**4/12 - 3*y**2. Let r be j(-1). Factor 2*d + 20*d**2 - r*d**3 - 10*d**2 + 0*d**3 - 10*d**4.
-2*d*(d - 1)*(d + 1)*(5*d + 1)
Let s = 57 - 50. Suppose 0 = -4*g - s + 27. Solve 2/7*t**g + 0 + 0*t**2 + 2/7*t**3 + 0*t + 4/7*t**4 = 0 for t.
-1, 0
Let d(k) be the third derivative of -k**7/525 + k**6/100 + k**5/150 - k**4/20 - 115*k**2. Factor d(t).
-2*t*(t - 3)*(t - 1)*(t + 1)/5
Let o be (-18)/(-21)*(56/10)/(408/340). Determine v so that 0*v**3 + 0*v**o + 0*v**2 - 3/4*v**5 + 0 + 0*v = 0.
0
Let s(u) be the third derivative of -u**6/200 - 3*u**5/100 + 9*u**4/40 + 27*u**3/10 - 103*u**2. Find k such that s(k) = 0.
-3, 3
Let b(w) be the second derivative of -3*w**5/100 + 59*w**4/10 - 336*w**3 - 2160*w**2 + 992*w. Solve b(u) = 0 for u.
-2, 60
Factor -1/4*d - 1/4*d**2 + 0.
-d*(d + 1)/4
Let b(n) be the third derivative of -3*n**2 + 1/8*n**4 + 0*n - 1/32*n**6 + 3/40*n**5 + 0 - n**3 + 1/280*n**7. Factor b(g).
3*(g - 2)**3*(g + 1)/4
Let l(h) be the first derivative of -5*h**4/4 + 65*h**3/3 - 115*h**2/2 + 55*h - 697. Factor l(i).
-5*(i - 11)*(i - 1)**2
Let o(m) be the first derivative of m**6/24 - m**5/20 - 8*m**3/3 - 38. Let s(w) be the third derivative of o(w). Determine p so that s(p) = 0.
0, 2/5
Suppose -4*n + n + 4*m = -17, -3*m - 12 = -2*n. Find x such that -40*x + 6*x**4 + 34*x + 6*x**3 - n*x**4 - 3 = 0.
-1, 1
Let p(w) be the third derivative of w**6/180 - 13*w**5/30 + 169*w**4/12 - 2197*w**3/9 + 6*w**2. Let p(y) = 0. What is y?
13
Let l(a) = -80*a + 1764. Let m be l(22). Find z such that 1/6*z**5 + 4/3*z + 0 + 3*z**3 + 7/6*z**m + 10/3*z**2 = 0.
-2, -1, 0
Let m(x) = -x**3 + 3*x**2 - 6*x**3 + 6*x**3 + 3. Let g be m(3). Factor -14*n**2 + 18*n**g + n + n - 6*n.
2*n*(n - 1)*(9*n + 2)
Let n(r) be the first derivative of -10/3*r**3 + 5/4*r**4 + 0*r + 0*r**2 + 18. Let n(t) = 0. What is t?
0, 2
Suppose -64*m = -61*m + 2 - 17. What is h in -56/3*h**3 + 8*h**4 + 64/3*h**2 - 4/3*h**m + 8/3 - 12*h = 0?
1, 2
Factor 18402*w**2 - 18397*w**2 - 26*w + 76*w.
5*w*(w + 10)
Let r be -3 + 30/(-50) - -6. Let 14/5*x**2 - 46/5*x + r = 0. What is x?
2/7, 3
Suppose 75*b = -42*b + 6*b + 333. Suppose 2/3*x - 4/3*x**2 + 4/3 - 2/3*x**b = 0. Calculate x.
-2, -1, 1
Let n = -627 + 39502/63. Let f = n + 41/63. Find q such that -2/3*q**3 - f*q**2 + 2/3 + 2/3*q = 0.
-1, 1
Suppose 5 = -l + 4*j - 1, l + 4*j + 6 = 0. Let d be (-26)/l - 11/33. Factor -2/9*n**5 + 2/3*n**3 - 8/9*n**2 + 4/9*n**d + 0 - 8/9*n.
-2*n*(n - 2)**2*(n + 1)**2/9
Let f = -10693 + 53533/5. Let -112/5*c**4 + 64/5*c**5 - 23/5*c - f*c**3 + 83/5*c**2 + 2/5 = 0. What is c?
-1, 1/4, 2
Let j(s) be the second derivative of s**6/70 - 9*s**5/140 + 74*s - 1. Factor j(r).
3*r**3*(r - 3)/7
Let z = -541/4 - -1631/12. Determine m so that z*m**2 + 2/3*m**3 + 0 - 2/3*m - 2/3*m**4 = 0.
-1, 0, 1
Let a(z) be the second derivative of z**4/30 + 46*z**3/15 + 229*z. Factor a(q).
2*q*(q + 46)/5
Let j(s) be the third derivative of s**7/6720 + s**6/1920 - s**5/160 - 3*s**4/4 + 9*s**2. Let c(z) be the second derivative of j(z). Factor c(q).
3*(q - 1)*(q + 2)/8
Factor -6*t**4 - 23*t**3 + 22*t**5 - 10*t**5 - 9*t**3 - 8*t**5 - 2*t**4.
4*t**3*(t - 4)*(t + 2)
Let b(j) be the second derivative of -11*j - 1/36*j**4 + 1/2*j**2 + 0 + 4/27*j**3 - 1/270*j**5. Let k(s) be the first derivative of b(s). Solve k(t) = 0.
-4, 1
Let y(r) = 2*r**3 - 5*r**2 + 2*r - 6. Let t be y(4). Factor 12*c + t*c**4 - 71*c**4 - 5*c**3 + 50*c**3 - 39*c**2 + 3*c**5 + 0*c**5.
3*c*(c - 4)*(c - 1)**3
Suppose -c - 2*g - 8 = 0, 2*c - 6*c = -5*g + 32. Let b = c + 10. Factor t**b + 11*t**2 + 3*t + 19*t**3 - 7*t**3.
3*t*(2*t + 1)**2
Let s(p) be the third derivative of p**8/112 - p**7/70 - p**6/40 + p**5/20 + 39*p**2 + 3. Solve s(i) = 0.
-1, 0, 1
Let l(w) be the third derivative of -w**6/120 + w**5/60 + 5*w**4/4 + 154*w**2 - 2. Suppose l(r) = 0. What is r?
-5, 0, 6
Let c(r) be the second derivative of r**5/5 - 14*r**4/3 - 136*r**3/3 - 144*r**2 + 506*r. Let c(h) = 0. What is h?
-2, 18
Let c = -1438 + 2879/2. Let v(d) be the first derivative of -8*d**3 + c*d**4 - 6 - 1/10*d**5 + 16*d**2 + 0*d. Factor v(z).
-z*(z - 4)**3/2
Let b(v) be the second derivative of -v**7/112 + v**6/4 - 87*v**5/32 + 235*v**4/16 - 175*v**3/4 + 147*v**2/2 + 46*v. Factor b(p).
-3*(p - 7)**2*(p - 2)**3/8
Let b(y) be the third derivative of -y**3 + 0*y - 1/140*y**7 + 0 - 13/40*y**5 + 3/40*y**6 - 12*y**2 + 3/4*y**4. Factor b(s).
-3*(s - 2)**2*(s - 1)**2/2
Let b(d) = -2*d**2 - 8*d - 8. Let c be 2/3 + 234/(-27). Let r(l) = l + 1. Let z(h) = c*r(h) - b(h). Let z(v) = 0. What is v?
0
Suppose 595 = p - 5*y + 3*y, -4*y - 16 = 0. Factor f + p - 587 + 3*f + 2*f**4 + 8*f**3 + 10*f**2.
2*f*(f + 1)**2*(f + 2)
Let m(c) = 12 - 2*c + 6*c + 15 + 0*c. Let p be m(-6). Determine l so that 1/4*l - l**2 + 3/4*l**p + 0 = 0.
0, 1/3, 1
Suppose 3*n + 5 = 8*n. Factor 3*i**2 + n + 1 - 6*i + 0 + 1.
3*(i - 1)**2
Let m(j) be the third derivative of j**5/15 - 187*j**4/3 + 69938*j**3/3 - 29*j**2 + 4*j. Factor m(t).
4*(t - 187)**2
Let u(b) be the first derivative of 5*b**4/4 + 10*b**3 + 55*b**2/2 + 30*b - 82. Solve u(n) = 0.
-3, -2, -1
Factor 1/2*i + 0 + 7/6*i**3 + 5/3*i**2.
i*(i + 1)*(7*i + 3)/6
Let c(i) be