t derivative of -i**4/12 + 157*i**3/9 + 320*i**2/3 + 644*i/3 - 4651. Factor z(g).
-(g - 161)*(g + 2)**2/3
Find n, given that 3599/9*n + 1/9*n**3 + 3481/9 + 119/9*n**2 = 0.
-59, -1
Find t such that -50/21*t**4 - 80/21 + 130/21*t**2 - 130/21*t**3 + 134/21*t - 4/21*t**5 = 0.
-8, -5, -1, 1/2, 1
Suppose -j + 3*r = -8, 4*j + 5*r + 17 = 2*j. Let k be j/(-12) - (-20)/(-10) - -2. Factor -1/12*z**2 - 1/6*z + 1/6*z**3 + k*z**4 + 0.
z*(z - 1)*(z + 1)*(z + 2)/12
Let p(r) be the first derivative of -3*r**2 - 3/2*r**4 + 48 + 3/10*r**5 + 3/2*r + 3*r**3. Determine y, given that p(y) = 0.
1
Let y(r) be the second derivative of -7*r + 1/48*r**4 + 19/24*r**3 + 9/4*r**2 - 26. Find g, given that y(g) = 0.
-18, -1
Let o(z) be the third derivative of 73*z**2 + 0 + 10/3*z**3 - 1/10*z**5 - 13/12*z**4 + 1/12*z**6 + 0*z + 1/105*z**7. Factor o(w).
2*(w - 1)**2*(w + 2)*(w + 5)
Factor -15/4 + 1/8*x**2 - 1/8*x.
(x - 6)*(x + 5)/8
Factor 5135*x + 328*x**2 + 2*x**3 - 627 - 27*x**3 - 3968*x**2 - 843.
-5*(x - 1)*(x + 147)*(5*x - 2)
Suppose 3*p = 6, 0 = h + 7*p - 2*p + 2. Let c be (-5*h/(-210))/((-2)/14). Find f, given that -3*f**3 + 2*f**2 + 6 - f**4 + 2*f**c - 13*f + 3*f**2 + 4*f**3 = 0.
-3, 1, 2
Let k(j) be the second derivative of j**7/7560 + j**6/1080 + 65*j**4/6 + 13*j - 8. Let h(g) be the third derivative of k(g). Factor h(l).
l*(l + 2)/3
Let t(f) = -14*f + 27. Let k be t(0). Determine c so that k*c**3 - 3*c**2 + 103*c**4 - 106*c**4 + 102*c**2 + 105*c + 36 = 0.
-1, 12
Let u(k) = -4*k**3 - 2*k - 2. Let n be u(-1). Let x(f) = f**3 - 5*f**2 + 6*f - 2. Let r be x(n). Factor -2*w**2 + r*w**2 - 3*w**3 - w**2.
-3*w**2*(w - 1)
Let y(w) be the third derivative of 1 + 0*w**4 - 1/4*w**5 + 0*w**3 + 11/120*w**6 + 3*w**2 - 13/1050*w**7 + 1/1680*w**8 + 0*w. Factor y(h).
h**2*(h - 5)**2*(h - 3)/5
Factor -963*v**2 + 1580*v**2 + 45 + 19 - 780*v**2 + 94*v + 5*v**3.
(v - 32)*(v - 1)*(5*v + 2)
Let m = 1186283/3 + -395425. Factor 2/3*z + m*z**4 - 2*z**2 + 0 + 0*z**3.
2*z*(z + 1)*(2*z - 1)**2/3
Suppose -r - 21 = -57. Suppose -37*z + 28*z = -r. Let 22/17*a**z + 104/17*a**2 + 92/17*a**3 + 0 + 16/17*a = 0. What is a?
-2, -2/11, 0
Let g(w) be the third derivative of w**6/300 - 4*w**5/75 + w**4/4 + 218*w**2. Determine a so that g(a) = 0.
0, 3, 5
Let k = 4116684/5 + -823336. Let i = -30/13 - -163/65. Find r such that 0 + k*r**2 + 0*r - i*r**3 = 0.
0, 4
Let q(d) = 10*d**2 + 755*d - 705. Let j(r) = r**2 - 2*r + 5. Let t(w) = 15*j(w) - q(w). Let t(s) = 0. Calculate s.
1, 156
Let c = 506/43 - 60677/5160. Let u(k) be the third derivative of 0*k + c*k**5 + 28*k**2 - 7/6*k**3 + 5/48*k**4 + 0. Factor u(y).
(y - 2)*(y + 7)/2
Let y = 127/2 + -349/14. Let c = 272/7 - y. Determine z so that -10/7*z - 12/7 - c*z**2 = 0.
-3, -2
Let r(v) = -163*v - 98. Let b be r(-8). Let p = -13265/11 + b. Suppose -2/11*f**5 - p*f**2 + 2/11*f**3 + 0*f + 0 + 1/11*f**4 = 0. What is f?
-1, 0, 1/2, 1
Let -1728*d**2 - 396*d**4 + 649*d**3 + 615*d**3 + 2*d**5 - 6*d**5 + 204*d**4 = 0. Calculate d.
-54, 0, 2, 4
Let u(q) be the third derivative of 7*q**6/120 + 8*q**5/5 + 105*q**4/8 - 49*q**3/3 - 521*q**2 + q. Factor u(x).
(x + 7)**2*(7*x - 2)
Let k(r) be the second derivative of r**8/40320 + r**7/15120 - r**6/720 + 39*r**4/4 + 2*r - 13. Let f(u) be the third derivative of k(u). Factor f(t).
t*(t - 2)*(t + 3)/6
Let q(n) be the third derivative of -n**8/1176 - 2*n**7/245 - n**6/84 + 8*n**5/105 + n**4/7 - 16*n**3/21 + 2*n**2 - 803*n. Let q(w) = 0. Calculate w.
-4, -2, 1
Let j(n) be the first derivative of -2*n**3/15 - 10*n**2 + 208*n/5 - 4190. Let j(o) = 0. Calculate o.
-52, 2
Suppose 0 = 18*z + 6*z - 72. Factor -25407*b**3 - 3*b**4 - b**4 - 32*b**2 + 25443*b**z.
-4*b**2*(b - 8)*(b - 1)
Let d = -23/297 + 2447/4752. Let z(b) be the first derivative of d*b**4 - 2*b + 15 - 5/2*b**3 + 9/2*b**2. Let z(r) = 0. What is r?
2/7, 2
Suppose -s - 20 = 5*v, 0 = -s - 76*v + 77*v + 4. What is n in -2*n**2 - 3/4*n**4 - 11/4*n**3 + s + n = 0?
-2, 0, 1/3
Let d(z) be the first derivative of 2*z**5/5 + 15*z**4/2 + 24*z**3 - 256*z**2 - 1536*z + 5783. Factor d(u).
2*(u - 4)*(u + 3)*(u + 8)**2
Suppose -22*z - 25728 = 73*z - 162*z. What is l in z + 3/2*l**4 - 48*l**2 + 48*l**3 - 384*l - 3/2*l**5 = 0?
-4, 1, 4
Let j(n) = 33*n**3 + 121*n**2 - 315*n + 62. Let d(v) = 5*v**3 - v**2 + v - 2. Let w(q) = -10*d(q) + 2*j(q). Factor w(l).
4*(l - 2)*(l + 18)*(4*l - 1)
Factor 1020*o - 13200 - 3/4*o**3 - 3*o**2.
-3*(o - 20)**2*(o + 44)/4
Let r(b) = -11*b**2 - 15*b + 3. Suppose 7*v + 56 = 3*v. Let t(g) = 25*g**2 - 8*g + 1 + g - 51*g**2 + 21*g**2. Let o(n) = v*t(n) + 6*r(n). Factor o(m).
4*(m + 1)**2
Let k(d) be the first derivative of d**5/45 + 23*d**4/12 + 43*d**3/3 + 63*d**2/2 + 5897. Factor k(g).
g*(g + 3)**2*(g + 63)/9
Let s(m) be the first derivative of 0*m + 0*m**2 - 1/36*m**6 + 7/24*m**4 + 0*m**5 + 3 + 1/3*m**3. Find y such that s(y) = 0.
-2, -1, 0, 3
Find l, given that 13*l**3 - 4*l**3 - 189*l**2 - 1350 + 432927*l**4 - 1065*l - 432924*l**4 = 0.
-5, -2, 9
Let h(k) be the first derivative of 5*k**6/2 - 146*k**5 + 2505*k**4/2 - 12380*k**3/3 + 11775*k**2/2 - 3690*k - 201. Solve h(o) = 0 for o.
2/3, 1, 3, 41
Let g = -18 + 22. Suppose -i + 5 = g. Suppose 2*u + 12*u**2 - i - 19 + 45*u + 9*u = 0. Calculate u.
-5, 1/3
Suppose -2759*g = -2761*g. Let s(q) be the second derivative of -7*q**3 - 1/10*q**5 + 8/5*q**4 + g - 10*q**2 - 35*q. Factor s(a).
-2*(a - 5)**2*(5*a + 2)/5
Suppose 0 = -87*m + 82*m - 45. Let c be (m/6)/(1/((-2)/12)). Factor 0 - 5/2*t + c*t**2.
t*(t - 10)/4
Suppose -774/17*r + 232/17*r**2 - 1620/17 - 14/17*r**3 = 0. What is r?
-10/7, 9
Let j = -80562/13 + 161189/26. Determine u, given that -1/2*u**2 + 0 + j*u = 0.
0, 5
Let t(x) be the third derivative of x**5/24 + 515*x**4/48 + 1417*x**2. Let t(z) = 0. Calculate z.
-103, 0
Let v(d) = -11*d - 64. Let j be v(-7). Let -3*b**3 + 43*b**2 - j*b**2 - 591 + 591 = 0. Calculate b.
0, 10
Find y such that -5*y**3 - 137*y - 413 + 792 - 3*y**3 - 379 - 1097*y**2 = 0.
-137, -1/8, 0
Factor 73*s**5 + 3*s + 3*s**4 - 3*s**2 - 38*s**5 - s - s**3 - 36*s**5.
-s*(s - 2)*(s - 1)**2*(s + 1)
Let z(c) be the first derivative of 5*c**3/3 - 195*c**2 - 1654. Factor z(o).
5*o*(o - 78)
Suppose 16/5 + 2/5*b**4 - 16/5*b**3 + 42/5*b**2 - 44/5*b = 0. Calculate b.
1, 2, 4
Let f(n) be the third derivative of 0*n**3 + 0*n + 1/600*n**6 + 0*n**4 + 7/100*n**5 + 0 - 27*n**2. Factor f(d).
d**2*(d + 21)/5
Let x be ((-3312)/288)/(2 + 1 - (-2 + 7)). Factor 7/4*r**2 - x*r + 3/2.
(r - 3)*(7*r - 2)/4
Factor -11 + 3/2*x**2 - 263/4*x.
(x - 44)*(6*x + 1)/4
Suppose 606*c**2 - 7*c**3 + 293*c**2 + 4*c**3 + 70*c**2 - 18638 + 96401 - 78729*c = 0. Calculate c.
1, 161
Let u = 179297/5 + -35859. Factor u*y**2 + 32/5 - 34/5*y.
2*(y - 16)*(y - 1)/5
Let p(n) be the first derivative of -3*n**4 + 56*n**3 + 50*n**3 - 69*n - 168 - 39 - 11*n**3 - 102*n**2. Factor p(b).
-3*(b - 23)*(b - 1)*(4*b + 1)
Suppose 5*w = -5*y + 20, -4*w + 16 = -487*y + 489*y. Let c(r) be the third derivative of y*r**3 + 0 - 11*r**2 - 1/12*r**4 + 1/30*r**5 + 0*r. Factor c(a).
2*a*(a - 1)
Let k(m) = -2*m**2 + 2*m + 1. Let x be k(3). Let t be (-99)/x - (-4 + 8 + 1). What is n in n**3 + 1/3*n**t - 1/3*n**5 + 0 - 2/3*n - 1/3*n**2 = 0?
-1, 0, 1, 2
Let b(x) be the second derivative of -x**5/20 + 487*x**4/15 - 12623*x**3/2 - 7605*x**2 - 72*x - 1. Factor b(f).
-(f - 195)**2*(5*f + 2)/5
Let n(x) be the first derivative of -4*x**3/3 - 66*x**2 - 728*x - 2036. Factor n(k).
-4*(k + 7)*(k + 26)
Determine w, given that -2/9*w**2 - 436/9 - 146/3*w = 0.
-218, -1
Let h(f) be the first derivative of -3/2*f**4 + 8/3*f**3 - 76 + 12*f + 13*f**2. Let h(b) = 0. Calculate b.
-1, -2/3, 3
Find f, given that -450*f**2 + 2*f**4 + 21*f**3 + 127900*f - 270 - 127225*f + 4*f**3 + 18*f**4 = 0.
-6, 3/4, 1, 3
Let k(r) be the third derivative of r**7/1155 - 3*r**6/220 + r**5/30 + 7*r**4/44 - 2*r**2 + 2*r - 582. Solve k(p) = 0.
-1, 0, 3, 7
Let u be (6/(-4))/(27/(-360)). Solve -4*z**2 + 5*z**5 - 40*z + 35*z**3 - 20 + u*z**4 + 5*z**4 - z**2 = 0 for z.
-2, -1, 1
Let t(p) = 11*p + 145. Let c be t(-13). Suppose 2*n**3 + 7*n**4 + 8*n**2 - 12*n - 6*n**4 - 3*n**4 - 4*n + c*n**3 = 0. What is n?
-2, 0, 2
Factor -72/5 - 3*h**3 - 222/5*h - 111/5*h**2.
-3*(h + 3)*(h + 4)*(5*h + 2)/5
Solve 20*u**5 - 128*u - 52*u**4 - 5*u**3 - 32*u**3 - 3823819*u**2 - 11*u**3 + 38