 n + 110/9. Find u, given that 0*u - i*u**2 + 0 - 2/9*u**3 = 0.
-3, 0
Let g(h) be the second derivative of h**4/28 + 36*h**3/7 + 2301*h**2/14 - h + 628. Factor g(o).
3*(o + 13)*(o + 59)/7
Let q be (-112092)/120 + (-1)/10. Let u = q + 935. Determine c, given that -12/5*c**2 - 24/5 + 12/5*c**3 + u*c**4 - 44/5*c = 0.
-3, -1, 2
Let g be -3*14*17/(-68). Let a = 15 - g. What is z in 0 - a*z**2 + 3/2*z = 0?
0, 1/3
Let r = 57 - 89. Let q = 34 + r. Solve 2*k**2 - 7*k + 16*k - 3*k**q - 8 = 0 for k.
1, 8
Let y(q) be the second derivative of 10/21*q**3 - 17 + 0*q**2 + 4/35*q**5 + 1/105*q**6 + 17/42*q**4 + 3*q. Find m such that y(m) = 0.
-5, -2, -1, 0
Let r be -5 + 14 + (-9 - -6)*1. Let n(q) be the first derivative of r + 1/4*q**4 + 0*q + 1/4*q**3 + 0*q**2 + 1/20*q**5. Factor n(j).
j**2*(j + 1)*(j + 3)/4
Factor 0 + 3/2*m**3 + 537/2*m**2 - 270*m.
3*m*(m - 1)*(m + 180)/2
Let g(b) be the second derivative of -b**6/40 - 1551*b**5/40 - 269349*b**4/16 - 266255*b**3/2 - 795675*b**2/2 - 8*b - 238. Factor g(w).
-3*(w + 2)**2*(w + 515)**2/4
Suppose -31 = -2*g - 7. Let u be ((-20)/g)/((-6)/18). Factor -3/5*y**u + 9/5*y**4 + 0*y**2 + 0 + 0*y**3 + 0*y.
-3*y**4*(y - 3)/5
Let q(r) be the third derivative of -7/3*r**3 - 62*r - 19/6*r**4 + 11/120*r**5 + 0 + 2*r**2. Find b, given that q(b) = 0.
-2/11, 14
Let l(c) be the third derivative of -c**5/360 + 151*c**4/144 + 17*c**3/2 - 1803*c**2. Factor l(m).
-(m - 153)*(m + 2)/6
Factor -15*k**3 - 1120*k**2 - 7*k**3 - 267506*k + 77284 - 182549*k + 7240*k**2 + 23881*k.
-2*(k - 139)**2*(11*k - 2)
Let t(c) = 3*c**2 + 2*c + 1. Let l be t(-1). Suppose -2*x = -q + 8, 3*x + 13 = 5*q + l*x. Factor 52*z**2 - 7*z - q*z**3 + 0*z**3 - 60*z**2 - z.
-2*z*(z + 2)**2
Let c(y) = y + 3. Let n(l) = -2*l - 7. Let w(b) = -7*c(b) - 3*n(b). Let f be w(-2). Solve -22*h**2 - 1 + f - 2 + 24*h**3 + 14*h**4 - 24*h + 9 = 0 for h.
-2, -1, 2/7, 1
Let r be (-6)/(-123) + (-121380)/410. Let d = -292 - r. Factor 0 + 0*a + d*a**3 + 4/5*a**5 - 8/5*a**2 - 16/5*a**4.
4*a**2*(a - 2)*(a - 1)**2/5
Let s(u) = -u**3 + 3*u**2 + 4*u + 5. Let c be s(4). Suppose -7*p = -19 + c. Solve -10 - 39*i**2 + 34*i**p - 20*i - 10 = 0.
-2
Factor -36*y**4 - 175*y**3 + 84*y**2 - y**5 - 97*y**3 + 5*y**5 + 316*y**3.
4*y**2*(y - 7)*(y - 3)*(y + 1)
Let y be (-171)/(-6) - 35/14. Suppose -y = -5*b - 4*f, 4*b - 8 = 8*b - 4*f. Factor 15/4*o + 5/4*o**3 - 45/4 + 25/4*o**b.
5*(o - 1)*(o + 3)**2/4
Let a(n) = n**2 - 2*n + 4. Let k be a(4). Let j(w) = -2*w**3 + 23*w**2 + 6*w + 75. Let d be j(12). Factor -64 - 4*l**3 + 0*l**d + 3*l**3 - k*l**2 - 48*l.
-(l + 4)**3
Let d(w) = -7*w**3 + 38*w**2 - 352*w + 303. Let s(l) = -2*l**3 - l**2 - 4*l + 1. Let j(v) = d(v) - 3*s(v). Let j(g) = 0. Calculate g.
1, 10, 30
Suppose 61*a**2 + 88 - 2/3*a**3 - 619/3*a = 0. What is a?
1/2, 3, 88
Let y(z) = z**3 + 9*z**2 + 11*z + 10. Let s be y(-5). Let i be (33/s)/(-4*(-2)/220). What is b in -2 + 10*b - i*b**2 + 11*b**3 - 5/2*b**4 = 0?
2/5, 1, 2
Let q(f) be the third derivative of f**5/60 + 5*f**4/4 + 75*f**3/2 - 2*f**2 + 810. Suppose q(n) = 0. Calculate n.
-15
Let r(f) be the second derivative of f**5/80 + 13*f**4/48 + 55*f**3/24 + 75*f**2/8 + 6642*f. Factor r(p).
(p + 3)*(p + 5)**2/4
Suppose -1936/7 + 13112/7*k - 22201/7*k**2 = 0. Calculate k.
44/149
Let p = -9860 - -9863. Let y(c) be the third derivative of 0*c + 0 + 13*c**2 + 2/5*c**p + 3/40*c**4 - 1/100*c**5. Suppose y(z) = 0. What is z?
-1, 4
Suppose 21*c + 217 = -602. Let m(x) = x**4 - x**2 + 2*x + 2. Let u(s) = -1 - s**2 + 14 + 13*s - 5*s**2 + s**3 + 7*s**4. Let j(k) = c*m(k) + 6*u(k). Factor j(b).
3*b**2*(b + 1)**2
Let j(x) be the first derivative of 2*x**5/25 - 79*x**4/10 - 322*x**3/15 - 81*x**2/5 + 3847. Factor j(s).
2*s*(s - 81)*(s + 1)**2/5
Let x(o) be the second derivative of o**6/840 + o**5/60 + 5*o**4/56 + 3*o**3/14 + 70*o**2 - 190*o. Let v(w) be the first derivative of x(w). Factor v(j).
(j + 1)*(j + 3)**2/7
Find p such that -18/5 + 293/5*p**2 + 43/5*p - 607/5*p**3 + 36/5*p**5 + 253/5*p**4 = 0.
-9, -1/4, 2/9, 1
Let k = -227 + 231. Let v be k/(-6)*(-3 - 25/(-10)). Factor -v - 1/3*d**2 + 2/3*d.
-(d - 1)**2/3
Let i(k) be the first derivative of 0*k - 1/1080*k**6 + 27 - 1/270*k**5 + k**2 - 2/27*k**3 + 7/216*k**4. Let t(c) be the second derivative of i(c). Factor t(d).
-(d - 1)**2*(d + 4)/9
Let c = -5077/30 - -1145/6. Let k = 6907823/5 + -1381564. Factor -k*t**3 - c*t + 0 - 36/5*t**2.
-3*t*(t + 6)**2/5
Suppose 20 = 40*r - 30*r. Factor 4*g - 3*g**2 - 27*g**3 - 3*g**r + 22*g**3 + 7*g**3.
2*g*(g - 2)*(g - 1)
Solve 9240*u + 79*u**2 + 68*u**2 - 2*u**4 - 16689 + 19*u**2 - 60*u**3 - 30743 = 0.
-22, 7
Let u(g) = -g**4 - g**3 + 6*g - 1. Let z(o) = 5*o**4 - 66*o**3 - 447*o**2 - 704*o - 300. Let p(s) = -20*u(s) - 5*z(s). Find j, given that p(j) = 0.
-4, -1, 76
Suppose 1/3*h**2 + 0 + 103/3*h = 0. Calculate h.
-103, 0
Suppose 33*i - 9*i - 2039 = -1967. Suppose 0*o - 10/17*o**2 + 0 + 2/17*o**i = 0. Calculate o.
0, 5
Let f(d) be the second derivative of d**7/112 + 73*d**6/40 + 12627*d**5/160 - 2555*d**4 + 19600*d**3 - 7616*d. Factor f(k).
3*k*(k - 7)**2*(k + 80)**2/8
Let s(w) be the third derivative of -w**6/24 + 127*w**5/4 + 3855*w**4/8 + 5805*w**3/2 - 2040*w**2. Factor s(q).
-5*(q - 387)*(q + 3)**2
Let x(s) be the first derivative of -5*s**6/6 - 41*s**5 - 540*s**4 - 340*s**3/3 + 9200*s**2 + 24000*s - 427. What is i in x(i) = 0?
-20, -2, 3
Let t be 20 - -2 - -17*(-56)/(-12). Suppose -t*r - 320/3*r**2 - 64/3 + 100/3*r**3 = 0. What is r?
-2/5, 4
Suppose y = 0, -5*n = 2*y - 12 - 3. Factor -d + d**3 + 4*d**3 + d**2 + 22*d**4 - 4*d**n - 19*d**4 - 4*d**4.
-d*(d - 1)**2*(d + 1)
Let l(n) be the third derivative of 0*n + 0*n**5 + 0*n**4 + 0*n**3 + 1/2352*n**8 - 2/735*n**7 + 0 + 1/280*n**6 - 165*n**2. Factor l(j).
j**3*(j - 3)*(j - 1)/7
Let c(b) be the second derivative of -1/60*b**6 + 35*b + 0*b**3 + 5/12*b**4 + 2/15*b**5 - 17/2*b**2 + 0. Let d(r) be the first derivative of c(r). Factor d(q).
-2*q*(q - 5)*(q + 1)
Determine i so that -695*i**3 + 191233*i - 190898*i - 75*i**4 - 69*i**2 - 150 + 654*i**2 = 0.
-10, -3/5, 1/3, 1
Suppose -4*n - 3*t - 3 = 0, -n - 3*n = -t - 17. Suppose -5*o = -5*h + 72 - 27, 15 = h - n*o. Factor -3*w**4 + h*w - 6*w**3 + 11*w**2 - 2*w**2 - 6*w**2.
-3*w*(w - 1)*(w + 1)*(w + 2)
Let v(a) be the second derivative of -71/54*a**3 + 0 + a**2 - 15*a - 1/27*a**4. Factor v(g).
-(g + 18)*(4*g - 1)/9
Let d be (-2)/4*(1 - 5). Let y be 72/12 - (6 + (-12)/4). Factor -3*c**y - d + 4*c**3 + 5*c**2 + 3*c**3 + 5*c + 6*c**2.
(c + 1)*(c + 2)*(4*c - 1)
Let c(h) = 884*h**2 + 1745*h - 6. Let f(a) = 880*a**2 + 1743*a - 4. Let v(b) = -6*c(b) + 8*f(b). Factor v(r).
2*(r + 2)*(868*r + 1)
Let u = 26/23993 + 23811/167951. Factor -2*t - u*t**3 + 17/7*t**2 - 32/7.
-(t - 16)*(t - 2)*(t + 1)/7
Let -9/5*t**2 - 3/5*t**4 - 24/5*t**3 + 96/5*t + 84/5 = 0. What is t?
-7, -2, -1, 2
Suppose 24 + 10 = a. Let -a*y**3 + 0 + 22 + 35*y - 14*y**2 + 3 - 25*y**5 - 11*y**4 + 24*y**5 = 0. Calculate y.
-5, -1, 1
Suppose 137/3*y - 1/3*y**3 + 1/3*y**2 - 195 = 0. What is y?
-13, 5, 9
Suppose -14*k = 15*k - 7018. Find w, given that w**4 + 477*w**3 - k*w**3 - 245*w**3 + 10*w + 20*w**2 - 21 = 0.
-1, 1, 3, 7
Let q(v) be the second derivative of v**6/24 - 9*v**5/4 + 325*v**4/8 - 845*v**3/6 - 2*v**2 + 45*v. Let p(s) be the first derivative of q(s). Solve p(z) = 0.
1, 13
Let j = 50408 - 252038/5. Find a, given that 12/5*a + 14/5 - j*a**2 = 0.
-1, 7
Suppose 187 = -17*j, -210*j + 205*j - 53 = d. Factor -4/3*a**3 - 22/15*a**d + 0 - 2/15*a.
-2*a*(a + 1)*(10*a + 1)/15
Determine t, given that -3*t**3 + 286*t**2 + 6*t**3 + 11*t**3 + t**4 + 1260*t + 24*t**3 - 10*t**3 + 2025 = 0.
-9, -5
Let h(q) = 0 + q + 4 + 4. Let x be h(-8). Factor -128*v**2 + 21*v - 52*v**2 + 0 + x + 6.
-3*(4*v - 1)*(15*v + 2)
Let i(k) be the third derivative of -7/6*k**3 + 190*k**2 + 0*k + 9/32*k**4 + 0 + 1/240*k**5. Factor i(w).
(w - 1)*(w + 28)/4
Factor 2/9*r**3 - 278/9*r + 88/9*r**2 + 188/9.
2*(r - 2)*(r - 1)*(r + 47)/9
Let d(l) be the third derivative of 0 + 1/210*l**7 + 17/60*l**6 + 0*l + 85/2*l**4 + 349/60*l**5 + 250*l**2 + 150*l**3. Factor d(w).
(w + 2)**2*(w + 15)**2
Let y = -3542 + 3544. Factor -18/5*q**y + 54/5*q + 2/5*q**3 - 54/5.
2*(q - 3)**3/5
Let f(m) be the first derivative of 6/5*m**5 + 0*m**2 - 2*m - 4*m**4 - 16 + 4*m**3. Factor f(i).
2*(i - 1)