 -5*k - 1448 = -13*k. Find y, given that 13 + 4*y**3 + y + 0 + 71*y**2 + 17*y**2 + 75*y - k = 0.
-21, -2, 1
Let b(j) be the second derivative of -j**7/168 + 7*j**6/72 - j**5/4 - j**3/2 - 3*j**2 + 43*j. Let i(o) be the second derivative of b(o). Factor i(t).
-5*t*(t - 6)*(t - 1)
Factor 2*w**4 + 3592*w - 1800 - 2727*w**3 - 2234*w**2 + 5925*w**3 - 2758*w**3.
2*(w - 2)**2*(w - 1)*(w + 225)
Let q = 7669/5745 + -3/1915. Let t(b) be the second derivative of 0 + q*b**2 - 1/18*b**4 + 15*b + 1/3*b**3. Solve t(s) = 0.
-1, 4
Let z(o) be the first derivative of -343*o**6/20 + 441*o**5/20 - 21*o**4/2 + 2*o**3 - 8*o - 71. Let i(l) be the first derivative of z(l). Solve i(h) = 0 for h.
0, 2/7
Let z(v) be the third derivative of -13/8*v**4 + 0*v**3 - 27*v**2 + v + 0 + 1/60*v**5. Factor z(t).
t*(t - 39)
Let u(m) be the second derivative of -m**7/63 + m**5/15 - m**3/9 - 44*m. Determine c, given that u(c) = 0.
-1, 0, 1
Let h(o) = -336*o + 2354. Let i be h(7). Let c(s) be the second derivative of 12*s + 1/30*s**4 + 9/5*s**i - 2/5*s**3 + 0. Factor c(k).
2*(k - 3)**2/5
Let o(m) be the first derivative of -10*m + 31 + m**5 + 5/3*m**3 - 15/2*m**2 + 15/4*m**4. Let o(f) = 0. What is f?
-2, -1, 1
Let s(y) be the first derivative of -4*y**5/25 + 22*y**4 + 916*y**3/5 + 2088*y**2/5 - 3056. Let s(g) = 0. Calculate g.
-3, 0, 116
Factor -28*t**3 - 4*t**4 + 52*t**3 + 28*t**3.
-4*t**3*(t - 13)
Let i(v) be the first derivative of -v**7/84 + v**6/48 + v**5/6 - 5*v**4/12 - 27*v**2/2 + v + 81. Let c(f) be the second derivative of i(f). Factor c(m).
-5*m*(m - 2)*(m - 1)*(m + 2)/2
Let a(f) be the first derivative of 15/2*f**2 - 3*f + 15/2*f**4 - 3*f**5 + 1/2*f**6 - 10*f**3 + 65. Factor a(q).
3*(q - 1)**5
Let x(w) = -6*w**3 + 1340*w**2 + 2200*w + 896. Let o(t) = -6*t**3 + 1336*t**2 + 2201*t + 894. Let b(k) = 6*o(k) - 5*x(k). Factor b(r).
-2*(r - 221)*(r + 1)*(3*r + 2)
Let i(g) be the second derivative of -1/40*g**6 + 0*g**3 + 15*g**2 + 1/2*g**4 - 3/20*g**5 + 0 + 23*g. Let t(l) be the first derivative of i(l). Factor t(o).
-3*o*(o - 1)*(o + 4)
Let -95*s - 25*s + 144 - 2*s**4 + 20*s**3 + 10*s**3 - 44*s**2 - 8*s**3 = 0. What is s?
-2, 1, 6
Let f(w) = 75*w + 28*w**2 + 178*w**2 + 76*w**2 + 10*w**3 + 17*w**3. Let l(q) = -25*q**3 - 281*q**2 - 76*q. Let c(o) = 2*f(o) + 3*l(o). Solve c(y) = 0.
-13, -2/7, 0
Let m(k) be the second derivative of -k**6/45 + 7*k**5/6 - 185*k**4/18 - 815*k**3/9 - 198*k**2 - k + 1461. Find w, given that m(w) = 0.
-2, -1, 11, 27
Let s be (6/378)/(753/458577). Determine i, given that s*i + 3*i**2 + 2 = 0.
-3, -2/9
Suppose 5*z + 73 = 2*q, 0 = 3*q - 0*z + z - 67. Suppose -633*u + 627*u + q = 0. Factor -1/2*f**u + 3/2 - 2*f - f**2 + 2*f**3.
-(f - 3)*(f - 1)**2*(f + 1)/2
Let h(f) be the second derivative of 1/42*f**4 + 0*f**2 - 4*f - 13 + 2/7*f**3. Solve h(s) = 0.
-6, 0
Factor 237/5*k + 252 - 3/5*k**2.
-3*(k - 84)*(k + 5)/5
Factor 67*t**2 - 5125 - 214*t**2 - 1355*t + 63*t**2 + 79*t**2 - 215.
-5*(t + 4)*(t + 267)
Let j be (-42)/49*35/(-400). Let c(a) be the third derivative of 0 - 32*a**2 + 0*a - j*a**4 - 27/100*a**5 + 1/5*a**3. Find b such that c(b) = 0.
-1/3, 2/9
Suppose -3*p - x + 11 = 0, 2*x - 187 + 171 = -4*p. Factor 2/3*n - 1/6*n**4 + 0*n**2 - 1/2*n**p + 0.
-n*(n - 1)*(n + 2)**2/6
Solve -1/2*o**5 + 29/2*o + 3*o**2 - 9 + 6*o**4 - 14*o**3 = 0.
-1, 1, 2, 9
Solve 3/2*y**4 - 141/2*y**2 - 135/2*y**3 + 135/2*y + 69 = 0 for y.
-1, 1, 46
Let w(s) = -s**3 + s**2 + 3. Let y(k) = -25*k**3 - 395*k**2 + 60. Let g(n) = -20*w(n) + y(n). Factor g(o).
-5*o**2*(o + 83)
Let y = -8324 - -8329. Let g(x) be the second derivative of -12*x - 9/4*x**2 + 3/16*x**y + 0 + 19/8*x**3 - 9/8*x**4. Determine h so that g(h) = 0.
3/5, 1, 2
Let h(j) be the third derivative of -j**7/70 + j**6/5 + 43*j**5/20 + 29*j**4/4 + 12*j**3 + 382*j**2 + 2. Find z, given that h(z) = 0.
-2, -1, 12
Solve 0 - 74/11*v**3 - 136/11*v - 208/11*v**2 - 2/11*v**4 = 0 for v.
-34, -2, -1, 0
Let q(t) be the third derivative of -t**8/672 - 13*t**7/420 + 29*t**6/240 - t**5/8 - 50*t**2 - t. Factor q(d).
-d**2*(d - 1)**2*(d + 15)/2
Suppose 39*a - 20 = 37*a. Suppose -3*l - a = -8*l + 2*t, -16 = l - 4*t. Let 4 + h**2 + 5 - 2*h**3 + h**l - 9 = 0. What is h?
0, 1
Let f be (80/24)/((-55)/(-77))*(0 + (-9)/(-21)). Factor -1/6*n**f + 14/3 + 1/2*n.
-(n - 7)*(n + 4)/6
Suppose -p + 111 = 2*r, -37*p + 39*p - 112 = -2*r. Suppose -30*j**2 + 15/2*j**4 + 20*j + 25/2*j**5 - r*j**3 + 0 = 0. Calculate j.
-2, -1, 0, 2/5, 2
Let d(n) be the second derivative of 5/42*n**7 + 0 + 0*n**3 + 122*n + 0*n**4 + 0*n**2 + 0*n**5 + 11/6*n**6. Factor d(a).
5*a**4*(a + 11)
Let c(z) be the first derivative of 55*z**4 - 60*z**2 + 20*z + 115/3*z**3 - 105 - 50/3*z**6 - 27*z**5. Find q, given that c(q) = 0.
-2, -1, 1/4, 2/5, 1
Let m = -1217 + 1221. Let d(x) be the third derivative of 1/24*x**m - 1/15*x**5 - x**2 + 0 + 1/120*x**6 + 0*x + x**3. Determine c so that d(c) = 0.
-1, 2, 3
Let w(r) = -5*r**3 + 72*r**2 - 208*r + 153. Let b(x) = 6*x**3 - 76*x**2 + 206*x - 152. Let h(o) = 3*b(o) + 4*w(o). Factor h(a).
-2*(a - 26)*(a - 3)*(a - 1)
Let m(g) be the third derivative of -182*g**2 + 0*g**3 + 0*g - 7/15*g**6 + 0 + 2/105*g**7 + 49/15*g**5 + 0*g**4. Solve m(t) = 0 for t.
0, 7
Let c(i) = 12*i**3 + 12*i**2 - 102*i + 33. Let y(j) = j**3 - j**2 - 2*j - 1. Let k(g) = c(g) - 15*y(g). Factor k(v).
-3*(v - 4)**2*(v - 1)
Suppose 27*z = 98 + 37. Let -66*k + 120*k + 102 - 2*k**2 - 52*k - 59*k + z*k**2 = 0. Calculate k.
2, 17
Let m(v) be the first derivative of -v**6/2 - 42*v**5/5 - 147*v**4/4 - 842. Solve m(g) = 0.
-7, 0
Let c(u) = -u**3 + 55*u**2 - 759*u + 83. Let b be c(27). Solve 1/5*l**b + 13/5 + 14/5*l = 0 for l.
-13, -1
Let u be (2/(-4) + 155/(-30))*-3. Let z = 21 - u. Factor -17*n**3 - 75*n**2 - 8*n**2 - 27*n**2 - 23*n**3 - 5*n**z - 120*n - 45.
-5*(n + 1)**2*(n + 3)**2
Let z(y) be the third derivative of y**5/20 - 69*y**4/4 - 140*y**3 - 1715*y**2 + 3. Suppose z(i) = 0. What is i?
-2, 140
Suppose 68/3*d**3 + 0 - 68/3*d - 2/3*d**4 + 2/3*d**2 = 0. Calculate d.
-1, 0, 1, 34
Let n(z) be the first derivative of -z**5/25 - 33*z**4/20 - 119*z**3/15 - 87*z**2/10 + 4058. Determine y, given that n(y) = 0.
-29, -3, -1, 0
Let l(b) be the third derivative of -b**8/20160 - b**7/5040 + b**5/30 + 19*b**4/6 + 11*b**2 + 4. Let q(h) be the third derivative of l(h). Factor q(d).
-d*(d + 1)
Let j(u) = u**5 - 2*u**4 - u**2 - 2*u - 1. Let s(p) = -3*p**5 + 12*p**4 + 9*p**3 + 2*p**2 + 4*p + 2. Let q(o) = -2*j(o) - s(o). Solve q(v) = 0.
-1, 0, 9
Let v(k) = -k**3 + 115*k**2 + 9*k - 975. Let y be v(115). Let -600 - y*o - 3/2*o**2 = 0. Calculate o.
-20
Let c = -271888 - -271891. Let -900/7*x**2 + 162/7*x**c - 424/7*x - 48/7 = 0. What is x?
-2/9, 6
Let k(u) be the first derivative of -u**7/2940 + u**6/180 + u**5/420 - u**4/12 + 26*u**3/3 - 42. Let l(s) be the third derivative of k(s). Factor l(m).
-2*(m - 7)*(m - 1)*(m + 1)/7
Let g = 129394 - 258765/2. Factor 25/2*k - g*k**2 - 1.
-(k - 1)*(23*k - 2)/2
Suppose 368 = -24*t + 896. Let z(v) = v**2 - 23*v + 32. Let j be z(t). Let 2/5*d**2 + 4*d + j = 0. What is d?
-5
Suppose -3*n - 26 = 2*y - 23, n = -1. Let f(j) be the second derivative of y - 3/11*j**2 + 1/66*j**4 + 8*j + 2/33*j**3. Factor f(d).
2*(d - 1)*(d + 3)/11
Let m(c) = c**2 + 5207*c - 141316. Let g be m(27). Factor -4*v - 10 + 1/2*v**g.
(v - 10)*(v + 2)/2
Let m(w) be the third derivative of 0*w + 141*w**2 + 0*w**3 + 1/15*w**5 + 0 + 2/3*w**4. Let m(h) = 0. Calculate h.
-4, 0
Let q(f) be the third derivative of f**5/160 - 33*f**4/64 - 35*f**3/8 + 1503*f**2. Factor q(w).
3*(w - 35)*(w + 2)/8
Let h = 2 - -2. Let m(v) be the third derivative of v**6/24 + 2*v**3/3 + 155*v**2. Let l(t) = 11*t**3 + t + 9. Let u(b) = h*l(b) - 9*m(b). Solve u(s) = 0 for s.
-2, 0, 2
Let n(p) be the second derivative of -11*p**5/30 - 41*p**4/18 + 136*p**3/9 - 28*p**2 + 163*p. Suppose n(w) = 0. Calculate w.
-6, 1, 14/11
Let u(m) be the second derivative of 7*m**7/2 - 63*m**6/10 + 9*m**5/4 - m**4/4 - 12895*m. Factor u(v).
3*v**2*(v - 1)*(7*v - 1)**2
Solve 2652/11*m**2 + 826/11*m**3 + 16 + 1304/11*m - 98/11*m**4 = 0 for m.
-2, -2/7, 11
Factor -489/5*k**2 + 243/5*k - 3/5*k**4 + 249/5*k**3 + 0.
-3*k*(k - 81)*(k - 1)**2/5
Let c(o) be the third derivative of o**8/448 - 5*o**7/168 + 25*o**6/144 + 13*o**5/6 - 28*o**2. Let l(d) be the third de