or p.
-6
Let v(u) be the first derivative of u**5/5 - 71*u**4 + 20723*u**3/3 - 39620*u**2 + 58800*u + 4753. Factor v(n).
(n - 140)**2*(n - 3)*(n - 1)
Let d = 24321/413 + -3348/59. Determine o, given that 0 - d*o**3 + 9/7*o**4 - 6/7*o**2 + 0*o = 0.
-1/3, 0, 2
Suppose 55*w + 44961 = 15756. Let o = -528 - w. Find s such that 1/7*s**o - 7 + 5*s + 13/7*s**2 = 0.
-7, 1
Let o(y) be the third derivative of 46*y**2 + 1/12*y**3 - 103823/30*y**6 - 47/8*y**4 + 2209/10*y**5 - 5*y + 0. Let o(r) = 0. What is r?
1/94
Let n(u) be the second derivative of -2*u**6/15 + 97*u**4/3 - 200*u**3 - 792*u**2 + 2088*u. Let n(d) = 0. What is d?
-11, -1, 6
Suppose -25650*s = -25647*s + 6, 5*h + s - 8 = 0. Determine x, given that 27*x**3 + 0 - 12*x - 15/2*x**4 - 18*x**h = 0.
-2/5, 0, 2
Suppose 10*x - 5*x = 100. Let c = -16 + x. Let -35*o**4 - 32*o**4 - 3*o**5 + 91*o**c - 36*o**4 - 9*o**3 = 0. Calculate o.
-3, -1, 0
Let u(m) be the second derivative of -m**4/6 + 38*m**3/3 + 39*m**2 + 802*m. Factor u(d).
-2*(d - 39)*(d + 1)
Let g(n) be the second derivative of n**6/150 + 8*n**5/75 - 59*n**2 + 3*n - 6. Let j(m) be the first derivative of g(m). Let j(l) = 0. What is l?
-8, 0
Let n(t) be the second derivative of -16*t**6/15 - 79*t**5/5 - 42*t**4 - 94*t**3/3 + 16*t**2 - 1394*t. What is o in n(o) = 0?
-8, -1, 1/8
Let x(g) be the first derivative of g**8/224 + g**7/140 - g**6/40 - 59*g**2 - 57. Let y(f) be the second derivative of x(f). Solve y(l) = 0 for l.
-2, 0, 1
Let v be 1455/4970 + (-237)/33654. Factor 2312/7 + v*g**3 + 2176/7*g - 134/7*g**2.
2*(g - 34)**2*(g + 1)/7
Suppose 2*n - 4*n + c = -42, -4*n = 4*c - 72. Suppose 9*h + 2 = n. Let -4*s - 9*s**3 - 27 - 34*s + 51*s**h - 25*s = 0. Calculate s.
-1/3, 3
Let x(a) be the third derivative of a**5/20 - 43*a**4/8 + 78*a**3 + 3*a**2 + 103. Determine d so that x(d) = 0.
4, 39
Suppose -h = 4*b + 13, 2*b = -18*h + 15*h - 19. Let a be (4 - (-80)/(-15))/b. Solve -10/3 - a*q**2 - 4*q = 0.
-5, -1
Suppose 4*i - 13 = -2*s + 5*s, -4*i + 4*s = -12. Factor -4 - 1 + 3 + r**2 + r - i.
(r - 2)*(r + 3)
Let w(o) = -7*o**2 + 26*o + 11. Let n be w(4). Find s such that 10*s**3 + 5*s**3 - 105*s**4 + 100*s**4 + 5*s**n + 60*s**2 = 0.
-2, 0, 6
Let r be 12/48 + (-38)/(-8) - -4. Factor 18 - 11 + r*w - w**2 + 84*w - 45 + 6*w**2.
(w + 19)*(5*w - 2)
Suppose -5*g + 4*s + 28 = 0, 12*s - 2 = -3*g + 7*s. Let -g*h**2 + 216*h - 7089 + 2226 + 136*h - 2881 = 0. Calculate h.
44
Find i such that -8*i**5 + 66*i**2 + 225*i - 162 + 5*i**5 - 27 - 33*i**4 + 12*i**2 - 78*i**3 = 0.
-7, -3, 1
Factor 135*z - 1549099*z**2 - 352 + 39*z + 1549100*z**2.
(z - 2)*(z + 176)
Factor -108*v - 10*v**2 - 1458/5.
-2*(5*v + 27)**2/5
Let i = 13235/8 - 1654. Let o(j) be the first derivative of 0*j - 7/12*j**3 + 1/8*j**4 + i*j**2 + 10. Factor o(z).
z*(z - 3)*(2*z - 1)/4
Let w(f) be the second derivative of f**5/12 + 10*f**4/3 + 72*f**2 - 22*f. Let i(r) be the first derivative of w(r). Suppose i(z) = 0. What is z?
-16, 0
Let t(d) be the second derivative of 0 + 3/2*d**2 - 7/12*d**3 - 43*d + 1/24*d**4. Factor t(x).
(x - 6)*(x - 1)/2
Let l be (-1 - (-2)/4)*-6. Suppose 92*k + 28 - 254 - 254 = -148*k. Determine i, given that -2/9*i - 8/9*i**l + 8/9*i**k + 0 = 0.
0, 1/2
Let b be (0 + 1 - 1)/(-3). Let h(s) be the first derivative of 10*s**2 + 15 - 55/4*s**4 + b*s + 6*s**5 - 20/3*s**3 + 15/2*s**6. Factor h(c).
5*c*(c + 1)**2*(3*c - 2)**2
Let y = 93 - -7. Let l = 180 - y. Determine g, given that 3*g + 19*g + 8*g - 32*g**5 + 80*g**3 + l*g**2 + 4 = 0.
-1/2, 2
Factor -3140*o**2 + 4125*o**3 + 1370*o + 277*o**4 + 9793*o**2 + 5*o**5 + 1108*o**4 - 2538*o**2.
5*o*(o + 1)**3*(o + 274)
Suppose 18*i - 26*i = -48. Factor i*s - s**5 - s**3 + 3*s**2 - 11*s + 7*s - 3*s**4.
-s*(s - 1)*(s + 1)**2*(s + 2)
Solve 5*g**2 - 1/4*g**5 + 0 + 21/4*g**3 + 0*g**4 + 0*g = 0 for g.
-4, -1, 0, 5
Let s(h) be the first derivative of 3*h**5/5 + 51*h**4/4 + 96*h**3 + 270*h**2 + 631. Find c, given that s(c) = 0.
-6, -5, 0
Let k(t) = 30*t**2 + 264*t - 54. Let p be k(-9). Let m(q) be the third derivative of -3/2*q**4 - 27*q**2 + 1/30*q**5 + 0*q + p + 27*q**3. What is d in m(d) = 0?
9
Let l be (6 + -1)/(-101 - -116). Factor l - 1/3*w**2 + 0*w.
-(w - 1)*(w + 1)/3
Suppose -2*r - 76 - 90 = 0. Let a = r - -88. Solve 3 - 2*x**2 + 51*x**4 - 5 - 47*x**4 + 4*x**3 - a*x + x**5 = 0.
-2, -1, 1
Let l(x) be the third derivative of 7/12*x**4 + 2*x**3 + 1/30*x**5 + 0 + 6*x**2 + 5*x. Factor l(b).
2*(b + 1)*(b + 6)
Let h(r) be the third derivative of -r**8/140 + 23*r**7/1050 + r**6/40 - r**5/12 - r**4/40 + r**3/15 - 56*r**2 - r. Find y such that h(y) = 0.
-1, -1/3, 1/4, 1, 2
Let y = -251 + 255. Let q be ((-10)/(-15))/(2/9). Factor -4*l**q + 9*l - 8*l**3 - l - y*l**2.
-4*l*(l + 1)*(3*l - 2)
Let u be (-2 - (-30 + 28))/(-28). Suppose u + 16/3*x + 6*x**2 + 2/3*x**3 = 0. What is x?
-8, -1, 0
Suppose -6 = -63*i + 61*i. Suppose -3*m + 3 = -i*d, -4*m + 1 = -2*d - 7. Factor 19 - 5*s**d + 7*s - 7 + s + s**2.
-4*(s - 3)*(s + 1)
Let u(m) = -2*m**3 - 5*m + 15. Let x be u(2). Let y be (-99)/2541 - 2/x. Factor y*k**2 + 3/7*k**3 - 4/7*k**4 + 0*k + 0.
-k**2*(k - 1)*(4*k + 1)/7
Let y(w) be the first derivative of -w**3/6 - 235*w**2/2 - 468*w - 3282. Find q such that y(q) = 0.
-468, -2
Factor 314*g**3 + 13*g**2 + g**3 - 57107 - 5*g**4 - 57383 + 115120 - 955*g + 2*g**2.
-5*(g - 63)*(g - 1)**2*(g + 2)
Let o(y) be the first derivative of 0*y + 42*y**2 - 18/7*y**4 + 80/3*y**3 - 2/21*y**6 - 48/35*y**5 - 203. Solve o(d) = 0 for d.
-7, -1, 0, 3
Let k(b) be the second derivative of b**4/48 - b**3/8 - 9*b**2/4 - 216*b + 6. Factor k(w).
(w - 6)*(w + 3)/4
Let c(q) be the first derivative of -2*q**5/5 - 5226*q**4 - 27311076*q**3 - 71363841588*q**2 - 93236859034722*q + 5750. Solve c(x) = 0.
-2613
Factor 3/2*n**2 + 483/2 - 243*n.
3*(n - 161)*(n - 1)/2
Determine d, given that 5*d + 120 - 118*d**2 - 122*d**3 + 117*d + 5207*d**4 - 5209*d**4 = 0.
-60, -1, 1
Let k(q) be the first derivative of q**4/4 - q**3/3 - 61*q**2 - 120*q + 866. Factor k(l).
(l - 12)*(l + 1)*(l + 10)
Suppose -69 = l - 70. Let c(j) = -3*j**3 - 23*j**2 - 22*j + 4. Let u(y) = -2*y**2 - y + 1. Let p(i) = l*c(i) - 4*u(i). Let p(v) = 0. What is v?
-3, -2, 0
Let v(b) = -3*b**2 + 1551*b + 9414. Let k be v(-6). Let 6/5*c + 48/5*c**2 + 18*c**3 + k - 48/5*c**4 - 96/5*c**5 = 0. What is c?
-1, -1/4, 0, 1
Let z(v) = 35*v**3 - 9*v**2 - 23*v - 2. Let b be z(-3). Let w = -956 - b. Factor 0*x**2 + 1/5*x - 1/5*x**w + 0.
-x*(x - 1)*(x + 1)/5
Let s(f) = 2*f**2 - 99*f - 407. Let o(x) = x - 1. Let c(k) = 46*o(k) + 2*s(k). Suppose c(z) = 0. What is z?
-5, 43
Let d = 569 - 566. Factor 288*s - 10*s**3 - 7*s**3 - 54*s**2 - 384 + 29*s**d - 9*s**3.
3*(s - 8)**2*(s - 2)
Let x(m) be the third derivative of -m**7/42 + m**6/12 + 19*m**5/12 - 85*m**4/6 + 50*m**3 + 201*m**2. Factor x(d).
-5*(d - 3)*(d - 2)**2*(d + 5)
Let z(c) be the third derivative of 2/315*c**7 + 7/90*c**6 + 0*c + 1/2*c**4 + 2*c**2 - 17/45*c**5 + 0*c**3 + 1. Let z(b) = 0. Calculate b.
-9, 0, 1
Factor 0 - 12/11*f**3 - 12/11*f + 30/11*f**2.
-6*f*(f - 2)*(2*f - 1)/11
Suppose -4*r + 5*r = 5*n - 23, r + 5*n - 27 = 0. Factor -27*p + 2*p**3 - 9*p**r + 10 + 15*p**2 + 9*p.
2*(p - 1)**2*(p + 5)
Let l = -72 - -45. Let o be (-32 - l) + 190 + 1. Factor 188 + 3*t**2 - 377 + o.
3*(t - 1)*(t + 1)
Let a(t) be the second derivative of -t**4/24 + 767*t**3/3 - 588289*t**2 + 179*t. Factor a(r).
-(r - 1534)**2/2
Find y, given that 720*y + 1130 - 26*y - y**2 - 7*y - 101 + 341*y = 0.
-1, 1029
What is g in 224/5*g**3 - 228/5*g**2 - 224/5*g + 2/5*g**4 + 226/5 = 0?
-113, -1, 1
Let n(j) be the first derivative of 2*j**5/5 - 113*j**4/2 - 2*j**3 + 341*j**2 - 452*j + 3477. Suppose n(f) = 0. Calculate f.
-2, 1, 113
Let j(u) = 260*u + 22363. Let d be j(-86). Let t = 6/35 + 3/7. Factor -3/5*g**d - 6/5*g**2 + 6/5 + t*g.
-3*(g - 1)*(g + 1)*(g + 2)/5
Let n(a) be the first derivative of 147 - 18*a**3 + 0*a**2 - 9/4*a**4 + 0*a + 3/5*a**5. Factor n(y).
3*y**2*(y - 6)*(y + 3)
Factor -398*o**3 - 312 - 395*o**3 + 12*o - 397*o**3 + 78*o**2 + 1187*o**3.
-3*(o - 26)*(o - 2)*(o + 2)
Let b = -4159 + 4159. Let z(f) be the third derivative of 0*f**4 + 17*f**2 - 1/30*f**6 + 0*f + 1/15*f**5 + b + 0*f**3. Factor z(n).
-4*n**2*(n - 1)
Let a(i) be the first derivative of 305 - 24/5*i - 2/5*i**2 - 1/30*i**6 + 9/20*i**4 + 22/15*i**3 - 2/25*i