2 - 547*w - 279. Let o(p) = 15*p**4 - 180*p**2 - 365*p - 185. Let s(t) = 7*o(t) - 5*u(t). Determine v, given that s(v) = 0.
-2, -1, 5
Let d(z) be the third derivative of -z**5/210 - 41*z**4/21 - 6724*z**3/21 - z**2 + 72*z. Let d(i) = 0. Calculate i.
-82
Let j = -79527/2 - -39764. Let k = -3 - -5. What is o in -j - 1/2*o**k + o = 0?
1
Suppose 3/2*k**2 - 18 - 6*k = 0. Calculate k.
-2, 6
Let k(v) be the third derivative of v**6/180 - v**4/3 - 3*v**3/2 + 3*v**2. Let n(y) be the first derivative of k(y). Factor n(p).
2*(p - 2)*(p + 2)
Let y(z) be the third derivative of z**8/2520 - 2*z**7/1575 - z**6/225 + 4*z**5/225 - 117*z**2. Factor y(f).
2*f**2*(f - 2)**2*(f + 2)/15
Let o(p) be the second derivative of 5*p**4/2 - 15*p**3/2 - 10*p**2 + 24*p. Let b(n) = 15*n**2 - 22*n - 10. Let y(f) = 5*b(f) - 3*o(f). Factor y(r).
-5*(r - 2)*(3*r + 1)
Let h(f) = f**3 + f**2 + f. Let t(w) = 2*w**3 + 5*w**2 + 26*w + 18. Let r(x) = 5*h(x) - t(x). Factor r(g).
3*(g - 3)*(g + 1)*(g + 2)
Let g(v) be the second derivative of -v**6/180 - v**5/30 - 5*v**4/72 - v**3/18 + 2*v - 162. Find w, given that g(w) = 0.
-2, -1, 0
Let h(z) be the first derivative of 2*z**3/33 - 6*z**2/11 + 18*z/11 - 185. What is u in h(u) = 0?
3
Let q(v) be the third derivative of v**7/140 - 21*v**6/160 + 3*v**5/4 - 25*v**4/32 + 226*v**2. Factor q(r).
3*r*(r - 5)**2*(2*r - 1)/4
Let x be ((-4)/28)/(21/(-49)). Let y = 3 + -1. Factor 0 - 2/3*v + 0*v**3 + v**y - x*v**4.
-v*(v - 1)**2*(v + 2)/3
Let 0*y + 0 - 100/3*y**2 - 16*y**3 + 1/3*y**4 = 0. What is y?
-2, 0, 50
Suppose -10*r**2 - 16 - 11*r**2 - 8*r + 34*r**2 - 9*r**2 - 5*r**2 = 0. What is r?
-4
Let l = 3501 + -3498. What is c in -2/3*c**l + 2/3*c**2 + 8/3*c - 8/3 = 0?
-2, 1, 2
Let w(g) be the third derivative of -g**5/45 - g**4/9 + 409*g**2. Determine p so that w(p) = 0.
-2, 0
Factor -26*f**2 - 30*f**2 - 116*f**3 + 937*f**4 - 945*f**4.
-4*f**2*(f + 14)*(2*f + 1)
Let a be (23/(-69) - (-69)/126)*16/6. Factor -4/7*d**5 + 4/7*d**2 + 0*d + a*d**3 - 4/7*d**4 + 0.
-4*d**2*(d - 1)*(d + 1)**2/7
Let v(k) be the third derivative of -k**6/120 + k**5/60 - k**4/4 + k**3/3 + 13*k**2 - 1. Let j be v(0). Factor 3/7*r - 3/7*r**3 - 2/7 + 1/7*r**4 + 1/7*r**j.
(r - 2)*(r - 1)**2*(r + 1)/7
Let p be (-2 + 2)/(18/2 + -6). Let j(o) be the second derivative of 7*o + 7/78*o**4 + p + 2/39*o**3 + 0*o**2 - 9/130*o**5. Factor j(b).
-2*b*(b - 1)*(9*b + 2)/13
Let w(q) be the second derivative of q**8/140 + 2*q**7/105 - q**6/18 - q**5/15 - q**3 - 11*q. Let m(c) be the second derivative of w(c). Factor m(r).
4*r*(r - 1)*(r + 2)*(3*r + 1)
Suppose 25*d = 5*d. Let m(b) be the third derivative of 2/45*b**4 + 0 + d*b**3 + 0*b - 4*b**2 + 2/225*b**5 - 1/1575*b**7 - 1/450*b**6. Solve m(g) = 0.
-2, 0, 2
Let 4*q**4 - 3*q**2 - 636*q**5 + 3*q - q**2 + 635*q**5 - 2*q**3 + 0*q = 0. Calculate q.
-1, 0, 1, 3
Let j(h) be the third derivative of -h**8/252 - h**7/126 - h**6/360 + 60*h**2. Suppose j(l) = 0. Calculate l.
-1, -1/4, 0
Let f = -87 + 265/3. Let b(o) be the second derivative of f*o**4 + 0*o**2 + 16/9*o**3 + 0 + 2/5*o**5 + 2/45*o**6 + o. Factor b(d).
4*d*(d + 2)**3/3
Let t(d) = 2*d**3 + 59*d**2 - 28*d + 64. Let l be t(-30). Determine x so that 0 + 4*x**l + 0*x + 12/5*x**5 - 4/5*x**2 + 4/5*x**3 = 0.
-1, 0, 1/3
Let t(y) be the second derivative of -5/2*y**3 - 15*y + 0 - 5*y**2 + 3/4*y**5 - 1/3*y**6 + 5/3*y**4. Suppose t(o) = 0. What is o?
-1, -1/2, 1, 2
Let 32/3*i - 24 + 2/3*i**2 = 0. Calculate i.
-18, 2
Suppose -27*h**2 + 3*h**3 - 19*h + 2*h**3 - 15*h**2 - 24 - 8*h + 103*h = 0. Calculate h.
2/5, 2, 6
Solve 8/3*n**4 - 52/3 - 98/3*n**3 + 238/3*n - 32*n**2 = 0 for n.
-2, 1/4, 1, 13
Let y = 9 - -57. Let t be (111/81 + -1)*y/55. Solve t*g - 2/9*g**2 + 0 = 0 for g.
0, 2
Let h(x) be the second derivative of x**6/48 - x**5/8 - 19*x**2/2 + 14*x. Let b(i) be the first derivative of h(i). What is u in b(u) = 0?
0, 3
Let t(q) = -2*q - 8. Let y be t(-4). Suppose -x + 3 + 4 = y. Factor -x*m**2 - 12*m - 5*m**2 - 18 + 10*m**2.
-2*(m + 3)**2
Let g(y) be the third derivative of -21*y**2 - 1/50*y**5 + 0*y - 1/20*y**4 - 1/300*y**6 + 0 - 1/15*y**3. Factor g(v).
-2*(v + 1)**3/5
Let d(v) be the first derivative of 128*v**5/5 + 8*v**4 - 42*v**3 - 16*v**2 - 2*v + 254. Let d(t) = 0. What is t?
-1, -1/8, 1
Factor 0 + 27/5*a**3 - 1/5*a + 3/10*a**2.
a*(6*a - 1)*(9*a + 2)/10
Let k(v) = v**5 + v**4 - v. Let n(z) = 2*z**5 - 62*z**4 - 180*z**3 - 172*z**2 - 62*z. Let m(g) = -6*k(g) + n(g). Factor m(s).
-4*s*(s + 1)**3*(s + 14)
Let g be (2 - 1)/2 + 0/(-2). Let r = 89/6 - 22/3. Find f, given that -5*f**2 + 0*f + g + 2*f**5 + 10*f**3 - r*f**4 = 0.
-1/4, 1
Let o(b) be the second derivative of -b**4/42 + 6*b**3/7 + 19*b**2/7 + 689*b. Factor o(c).
-2*(c - 19)*(c + 1)/7
Let i(t) be the second derivative of -t**5/30 + 317*t**4/18 - 8321*t**3/3 - 8427*t**2 - 13*t - 5. Factor i(a).
-2*(a - 159)**2*(a + 1)/3
Let g(m) = 4*m - 9. Let q be g(7). Factor -38 - k**2 + 19 - 2*k + 3*k**3 + q.
k*(k - 1)*(3*k + 2)
Suppose 11*m = -13*m + 48. Factor 0 - 2/5*f**5 + 0*f**3 - 4/5*f**m + 4/5*f**4 + 2/5*f.
-2*f*(f - 1)**3*(f + 1)/5
Let v = -4099/2 - -2051. Determine o, given that 0*o + 0 - 3/4*o**4 - 3/4*o**2 + v*o**3 = 0.
0, 1
Let q(i) = -5*i**3. Let t(s) = s**4 - 28*s**3 + 10*s**2 - 12*s - 11. Let u(y) = -24*q(y) + 3*t(y). Solve u(p) = 0.
-11, -1, 1
Factor 0 - 3/2*g**4 - g**3 + 1/2*g**5 + 6*g**2 - 4*g.
g*(g - 2)**2*(g - 1)*(g + 2)/2
Solve 4864/5*u - 2048/5 - 104/5*u**4 + 4/5*u**5 - 736*u**2 + 964/5*u**3 = 0.
1, 8
Let b(m) be the first derivative of 1/6*m**4 - 1/180*m**6 + 0*m**2 - 1/60*m**5 - 1/3*m**3 + 0*m + 2. Let i(o) be the third derivative of b(o). Factor i(g).
-2*(g - 1)*(g + 2)
Let c = 1589 - 8368/5. Let z = c + 85. Suppose 0*w - z*w**3 - 8/5 + 6/5*w**2 = 0. Calculate w.
-1, 2
Let c(s) = -4*s - 17. Let h be c(-11). Determine i so that h*i + 60*i - 53*i - 10*i**2 - 12 = 0.
2/5, 3
Suppose 4*a = 22 - 6. Factor 5*t**4 + 4*t**5 - 7*t**a - 2*t**5.
2*t**4*(t - 1)
Let s(i) be the first derivative of -i**5/60 + i**4/18 - i**3/18 - 16*i - 1. Let y(a) be the first derivative of s(a). Determine g so that y(g) = 0.
0, 1
Let g(p) = -22*p**4 - 37*p**3 - 29*p**2 - 7*p. Let o(n) = 7*n**4 + 12*n**3 + 9*n**2 + 2*n. Let d(q) = -2*g(q) - 7*o(q). Factor d(l).
-5*l**2*(l + 1)**2
Let u(g) be the second derivative of -g**6/10 + 3*g**5/20 - 68*g. Factor u(f).
-3*f**3*(f - 1)
Determine x so that 128*x - 50 - x**2 - 32*x - 4*x**2 - 41*x = 0.
1, 10
Let p(i) = i**2 - 1. Let f(g) = 2*g**3 + 4*g**2 - 14*g - 6. Let r(d) = f(d) - 6*p(d). Let l(b) = -b. Let j(z) = -28*l(z) + 2*r(z). Find u, given that j(u) = 0.
0, 1
Let g(c) = -6*c**2 - 37*c + 2. Let w be g(-6). Suppose -w*m - 12 = -9*m. Factor -4/3*r**2 - m + 8*r.
-4*(r - 3)**2/3
Let h(z) = -z**3 + 5*z**2 + 6*z + 2. Let g be h(6). Factor t**3 - 4*t + 3*t - 9*t**g + 7*t + 2*t**3.
3*t*(t - 2)*(t - 1)
Let l(g) be the first derivative of -g**6/24 - g**5/4 - 3*g**4/8 + g**3/3 + g**2 + 42. What is i in l(i) = 0?
-2, 0, 1
Let r be (1 - 1/(-1)) + 2 - 0. Factor -12*q**2 - 4 + 15*q**3 + 50*q**4 - 53*q**4 + r.
-3*q**2*(q - 4)*(q - 1)
Let p(z) be the first derivative of -z**4/22 + 12*z**2/11 + 32*z/11 + 480. Solve p(l) = 0.
-2, 4
Let n(s) be the third derivative of s**8/2352 - s**6/210 + s**5/210 + s**4/56 - s**3/21 - 47*s**2. Factor n(f).
(f - 1)**3*(f + 1)*(f + 2)/7
Let d = -55 + 71. Solve 20*s + 14 - d - 13 - 5*s**2 = 0.
1, 3
Let l be 30/(-40) + (-359)/(-4). Let d = l - 89. Solve 0*j**2 + d + 2/7*j**5 + 0*j - 2/7*j**3 + 0*j**4 = 0 for j.
-1, 0, 1
Let k(o) = 2*o - 9. Let u(x) = -3*x**2 + 15*x + 24. Let s be u(6). Let q be k(s). Let 0*l + 3/8*l**q + 9/8*l**2 - 3/2 = 0. Calculate l.
-2, 1
Factor -6*w**2 + 1/6*w**3 - 81/2*w - 63.
(w - 42)*(w + 3)**2/6
Let s(r) be the first derivative of r**4/4 - 7*r**3/3 + 5*r**2/2 + 8*r - 3. Let a be s(6). Solve -2*d**2 - d - 2*d**2 + 8*d**a - 3*d**2 = 0.
0, 1
Let b(n) be the first derivative of -11 + 2/7*n**3 - 27/28*n**4 + 0*n + 0*n**2. Factor b(u).
-3*u**2*(9*u - 2)/7
Let z(j) be the first derivative of 12*j**3 + 14*j**2 - 8*j + 95. Solve z(o) = 0 for o.
-1, 2/9
Let i(s) be the first derivative of 1/15*s**3 + 0*s**2 + 0*s + 0*s**4 + 8 - 1/25*s**5. Solve i(r) = 0 for r.
-1, 0, 1
Let i = -6005/22 + 273. Let s(n) be the first derivative of -2/11*n**3 - 5 + i*n**4 + 8/11*n + 0*n**2. Solve s(y) = 0.
-1, 2
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