 (2/6)/(12*k/(-1296)). Solve 0 - 2/5*n**2 + y*n = 0.
0, 2
Let i be (-44)/24 + ((-567)/18)/(-9). Let 2 + 1/3*u**2 - i*u = 0. Calculate u.
2, 3
Solve -325/2*k**2 + 0*k - 105/4*k**3 + 5/4*k**4 + 0 = 0.
-5, 0, 26
Let i be 4/14 + 0 - (-96)/56. Let -10*q + q**2 + 0*q**i - 6*q**2 = 0. What is q?
-2, 0
What is r in -3*r**3 + 3277*r**4 - 3282*r**4 + 8*r**3 - r**3 + r**3 = 0?
0, 1
Suppose -5*b = -19 + 9. Factor -54*p**b - 182250 + 6091*p + 2*p**3 - 216*p**2 + 6059*p.
2*(p - 45)**3
Solve 1/3*r**2 - 238/3*r - 241 = 0 for r.
-3, 241
Solve -276 - 836/3*p**2 - 1660/3*p - 4/3*p**3 = 0 for p.
-207, -1
Factor 135/4 + 39/4*n - 1/2*n**2.
-(n + 3)*(2*n - 45)/4
Let -7/4*z**2 + 1059/4*z - 151/2 = 0. Calculate z.
2/7, 151
Let y be ((-36)/16*-2 - 213/142) + -1. Factor 648/7 + 2/7*t**y - 72/7*t.
2*(t - 18)**2/7
Let s(p) be the first derivative of -121*p**4/3 + 8140*p**3/9 - 6800*p**2/3 + 2000*p + 925. Let s(f) = 0. Calculate f.
10/11, 15
Solve -39*d**2 + 38*d**2 - 339011*d + 339074*d = 0 for d.
0, 63
Let i(k) be the second derivative of 1/10*k**5 + 1/21*k**7 - 2/3*k**3 - 1/2*k**4 + 0 + 1/5*k**6 + 29*k + 0*k**2. Suppose i(l) = 0. What is l?
-2, -1, 0, 1
Let i(x) be the second derivative of x**9/432 - x**8/560 - 133*x**3/6 - 35*x. Let b(g) be the second derivative of i(g). What is f in b(f) = 0?
0, 3/7
Let y(z) = -11*z**2 + 1206*z - 8934. Let k be y(8). Factor k - 2*l**3 + 79/2*l - 5/2*l**2.
-(l - 4)*(l + 5)*(4*l + 1)/2
Solve -450/13 + 2/13*w**2 + 32/13*w = 0 for w.
-25, 9
Let a(y) = 35*y**2 + 3*y**3 - 3 + 0 - 2 - 83*y + 38*y + 12*y**3. Let o(n) = n**4 + 15*n**3 + 36*n**2 - 46*n - 6. Let v(u) = -6*a(u) + 5*o(u). Factor v(x).
5*x*(x - 4)*(x - 1)*(x + 2)
Suppose 654060*d**2 + 2*d**4 - 130*d - 1308286*d**2 - 4*d**4 + 654060*d**2 - 38*d**3 = 0. What is d?
-13, -5, -1, 0
Suppose 2 + 7 = 3*h. Let v be (-1768)/56 - (-32 - 0). Factor -v*u**2 + 0*u + 0 + 1/7*u**h.
u**2*(u - 3)/7
Let d(m) be the third derivative of 0*m**3 + 7/3*m**4 - 1/3*m**5 - 1/30*m**6 + 7*m**2 + 0*m - 1. Suppose d(u) = 0. Calculate u.
-7, 0, 2
Let i = -40380 - -40382. Factor 1/5*x**i - 18/5*x + 17/5.
(x - 17)*(x - 1)/5
Let j be (4/2)/(6/(-9)). Let a(f) = -4*f**2 + 2*f + 2. Suppose 11*d - 30 = -4*d. Let z(n) = -5*n**2 + n + 3. Let o(i) = d*z(i) + j*a(i). Factor o(y).
2*y*(y - 2)
Factor 232 - 105 + 141 - 82 - 28*c**2 + 880*c + 326.
-4*(c - 32)*(7*c + 4)
Let c(z) be the second derivative of -z**4/6 + 12*z**3 - 180*z**2 + 15*z - 32. Let c(a) = 0. Calculate a.
6, 30
Let l(r) be the second derivative of 0*r**2 - 1/27*r**6 - 2/27*r**3 - 1/54*r**4 - 3*r - 5 + 4/45*r**5. Factor l(h).
-2*h*(h - 1)**2*(5*h + 2)/9
Let d(k) be the first derivative of 845*k + 151 - 65*k**2 + 5/3*k**3. Let d(o) = 0. What is o?
13
Determine w so that 4524032 + 1/2*w**2 + 3008*w = 0.
-3008
Let p = 163/14 + -157/14. Let f be (-57)/399 + 2/7. Factor 1/7*v**4 + 0 + p*v**3 + f*v + 3/7*v**2.
v*(v + 1)**3/7
Let v be (-2)/(-6 - (-60)/9). Let f be (v + 11/3)*6/16. Factor 1/4*a - 3/8*a**2 - f*a**3 + 3/8.
-(a - 1)*(a + 1)*(2*a + 3)/8
Let h = -2637 - -2642. Let n(c) be the second derivative of -1/50*c**h + 1/15*c**4 + 0*c**2 + 3*c - 1/15*c**3 + 0. Solve n(t) = 0 for t.
0, 1
Let z(o) be the second derivative of o**7/126 - o**6/15 + 2*o**5/15 + o**4/6 - o**3/2 - 1875*o + 2. Factor z(b).
b*(b - 3)**2*(b - 1)*(b + 1)/3
Let o(h) be the third derivative of 1/1176*h**8 - 193*h**2 + 4/21*h**5 - 1/35*h**6 - 8/21*h**4 + 0*h + 0 + 0*h**3 - 2/735*h**7. Factor o(t).
2*t*(t - 2)**3*(t + 4)/7
Let z(h) be the third derivative of -3*h**7/140 + 13*h**6/180 - 23*h**5/360 - h**4/72 - 18*h**2 + 3*h - 3. Let z(m) = 0. Calculate m.
-2/27, 0, 1
Find w, given that 422/15*w**3 - 7628/5*w**2 - 2/15*w**4 - 43264/15 + 65728/15*w = 0.
1, 2, 104
Let t(i) be the third derivative of -i**7/1575 - i**6/20 + 47*i**5/450 + i**4/4 - 46*i**3/45 - 12367*i**2. Determine k, given that t(k) = 0.
-46, -1, 1
Suppose -4*a - 94 = -5*r, -5*r - 2*a - 382 = -350. Solve 2/7*o**r + 4/7*o + 0 - 2/7*o**3 = 0.
-1, 0, 2
Suppose -9*v + 5*v + f = -322, -f = 4*v - 318. What is o in -v*o - 2*o - 318 + o**2 - 38*o + 1518 + 2*o**2 = 0?
20
Let m(v) be the third derivative of -v**6/120 + 49*v**5/30 - 287*v**4/24 + 95*v**3/3 + 11*v**2 - 15*v + 2. Determine h, given that m(h) = 0.
1, 2, 95
Let j = 20781 + -20779. Solve 24*m + 0 + 3/2*m**j = 0.
-16, 0
Let l(i) be the second derivative of i**6/60 + 31*i**5/40 + 39*i**4/8 - 331*i**3/12 + 91*i**2/2 - 923*i. Factor l(f).
(f - 1)**2*(f + 7)*(f + 26)/2
Let b be 1/1 - (-460)/(-480). Let u(i) be the second derivative of 8*i + 0 + b*i**4 + 0*i**2 - 1/3*i**3. Find g, given that u(g) = 0.
0, 4
Let f(a) = a**4 - a**3 + 2*a**2 + a. Let n(w) = -60*w**4 - 210*w**3 - 45*w**2 + 330*w - 30. Let z(k) = -5*f(k) - n(k). Solve z(t) = 0 for t.
-3, -2, 1/11, 1
Let z(c) be the first derivative of -c**3/6 - 47*c**2/2 + 707*c/2 - 2357. Find g, given that z(g) = 0.
-101, 7
Let g be 0/1 - 8 - (13 - 18). Let w be (g/1)/((-122)/4 + 2). What is s in -w*s**5 - 2/19*s - 6/19*s**4 + 4/19*s**3 + 12/19*s**2 - 6/19 = 0?
-3, -1, 1
Let f(h) be the second derivative of -h**5/40 + h**4/16 + 3*h**3/2 - 81*h**2/8 + 19*h + 3. Factor f(w).
-(w - 3)**2*(2*w + 9)/4
Let u = -24816 + 24834. Let v(r) be the first derivative of -15/2*r**5 + 53/6*r**3 + 2*r + u - 5/4*r**4 + 7*r**2. Let v(m) = 0. Calculate m.
-2/5, -1/3, 1
Let m(g) be the third derivative of -g**5/150 - 49*g**4/30 - 97*g**3/15 + g**2 - 171*g - 4. Determine w, given that m(w) = 0.
-97, -1
Let z(v) = v**3 + 6*v**2 + 4*v - 14. Let f be z(-4). Let i be (f/2 + -2)/(-5). Factor 0*m + i*m**5 + 0*m**2 + 2/5*m**4 + 1/5*m**3 + 0.
m**3*(m + 1)**2/5
Let h(m) be the third derivative of m**5/12 + 25*m**4/3 + 385*m**3/2 - 206*m**2. Suppose h(z) = 0. Calculate z.
-33, -7
Suppose 3*u = 1 + 14. Suppose -u*f + 6 = -4. Factor -v**3 + 2*v**2 - 6*v**2 + 5*v**f + 2*v**3.
v**2*(v + 1)
Let f(o) = -70*o**3 + 2595*o**2 - 167760*o - 84560. Let g(t) = -2*t**3 - 2*t - 2. Let n(r) = -f(r) + 30*g(r). Factor n(d).
5*(d - 130)**2*(2*d + 1)
Let n be (42/11 - 2) + 12/66. Determine u, given that 3*u + 2048 + 16*u + 109*u + n*u**2 = 0.
-32
Let r(x) = -19*x**2 + 7 - 9*x - 25 + 7*x**2 - x**3. Let j be r(-13). Factor 48*l**2 + j - 268 - 12*l - 21*l**3.
-3*l*(l - 2)*(7*l - 2)
Suppose -11*k - 357 + 1908 = 0. Let t be k/27 + -1 - (6 + -2). Solve 0 + 1/9*n**3 + t*n**2 + 0*n = 0 for n.
-2, 0
Let z(v) = 5*v - 80. Let t be z(18). Suppose 0 = -t*o + 4*o + 30. Determine g so that 16*g**2 - 11*g**4 + 0*g**4 + 3*g**3 - 4*g**o - 4*g + 0*g**5 = 0.
-2, 0, 1/4, 1
Let i be -483 - (-15 - 64/(-8)). Let r = i + 4761/10. Factor -32/5 - 8/5*a - r*a**2.
-(a + 8)**2/10
Let a(s) = s**2 - 7*s - 6. Let u be a(8). What is p in -16*p**2 + u*p**3 + 486*p + 40*p**2 + 1458 + 30*p**2 = 0?
-9
Let z(c) be the first derivative of -c**4/18 - 7*c**3/9 - 10*c**2/3 - 32*c - 9. Let h(u) be the first derivative of z(u). Factor h(i).
-2*(i + 2)*(i + 5)/3
Determine c, given that 15/2 - 11/4*c**2 + 37/8*c + 1/8*c**3 = 0.
-1, 3, 20
Suppose -13 = g - 15. Factor -x - x**2 - 2*x**2 + 2*x**g + 2*x**2.
x*(x - 1)
Let w(g) be the third derivative of 4/3*g**5 + 0*g + 40/3*g**3 - 142*g**2 - 5/42*g**7 + 55/6*g**4 + 5/168*g**8 - 19/24*g**6 + 0. Let w(h) = 0. Calculate h.
-2, -1, -1/2, 2, 4
Let a(q) be the first derivative of q**3/4 - 177*q**2/2 + 10443*q - 101. Let a(w) = 0. What is w?
118
Factor 589/3*f + 3*f**3 + 722/3 + 44*f**2.
(f + 2)*(3*f + 19)**2/3
Suppose 1666*x = 1668*x - 6. Solve 2/9*q**x + 0*q**2 - 4/9 - 2/3*q = 0 for q.
-1, 2
What is i in -12521 + 1971*i**3 + 24448*i - 20*i**4 + 1366 + 14184*i**2 - 1005 - 223*i**3 = 0?
-4, 2/5, 95
Let a(k) be the first derivative of -2*k**6 - 58*k**5/5 - 27*k**4/2 + 18*k**3 + 29*k**2 + 12*k + 1905. Suppose a(y) = 0. What is y?
-3, -2, -1/2, -1/3, 1
Suppose 13*c - 2*c = -308. Let g be c/7 - 35/30*-4. Factor 4/9*m + g - 2/9*m**2.
-2*(m - 3)*(m + 1)/9
Let l be -10 + (27 + -19 - -4). Factor -1/6*f**3 + 0 + 1/6*f**5 - 1/3*f**4 + 1/3*f**l + 0*f.
f**2*(f - 2)*(f - 1)*(f + 1)/6
Let a(d) be the third derivative of 7*d**6/180 - 4*d**5/15 + 5*d**4/9 + 5*d**2 + 134. Factor a(v).
2*v*(v - 2)*(7*v - 10)/3
Let w = 276/787 - -2320/2361. Factor 0 - 2/3*m**4 + 0*m**3 + w*m + 2*m**2.
-2*m*(m - 2)*(m + 1)**2/3
Let v(q) be the second derivative of q**7/2205 - q**6/168 - q**5/105 - q**4/6 + 55*q**2 + 116*q. Let r(p) be the