 - (-7 - 8 - -15))/((-2)/(-116)). Factor 2/9*j**5 - t*j**2 - 150 - 38/9*j**4 + 210*j + 284/9*j**3.
2*(j - 5)**2*(j - 3)**3/9
Let j be ((-1 - 0)*1)/(30/(-3090)). Let d = j + -101. Factor 2*l**d - 9/2*l + 1.
(l - 2)*(4*l - 1)/2
Let y(o) = o**4 + 12*o**3 + 35*o**2 + 64*o + 36. Let p(k) = -5*k**4 - 61*k**3 - 174*k**2 - 322*k - 180. Let i(w) = -2*p(w) - 11*y(w). Find h such that i(h) = 0.
-3, -2
Suppose -113 = -4*h - 5*p, 3*p - 20 + 5 = 0. Let -5*o**4 + 206*o**3 + h*o**2 - 211*o**3 + 3*o**2 - 15*o = 0. Calculate o.
-3, 0, 1
Determine x, given that x**5 - 4987*x**2 - 177*x**4 - 4*x**5 - 22615*x**2 - 7945*x**2 - 3825*x**3 + 0*x**5 - 117912*x = 0.
-17, -8, 0
Suppose 4293 - 1847 = 1002*t - 2564. Factor 0 + 0*c**2 + 3*c**3 + 6*c**t + 27/2*c**4 + 0*c.
3*c**3*(c + 2)*(4*c + 1)/2
Let g(b) be the second derivative of b**4/6 - 21*b**3 + 290*b**2 - 2414*b. Determine z so that g(z) = 0.
5, 58
Determine k so that -2/3*k**3 + 62/3*k**2 - 518/3 + 458/3*k = 0.
-7, 1, 37
Let c(i) = 30*i + 21*i**2 - 12*i**2 - 100*i + 249. Let b(s) = -17*s - 8*s**2 + 61*s + 31 - 279 + 26*s. Let g(p) = 4*b(p) + 3*c(p). Let g(q) = 0. Calculate q.
7
Let g = -53118 + 53121. Determine j, given that -5/3*j + 5/3*j**g + 1/6*j**4 - 3/2 + 4/3*j**2 = 0.
-9, -1, 1
Let k(i) = -6*i**3 + 6*i**2. Let b be (-6)/4*1*-2. Let v(u) = 21*u + u**2 + 1 - 1 + 1 - 22*u - u**3. Let o(j) = b*v(j) - k(j). What is x in o(x) = 0?
-1, 1
Factor -8/15*p**4 + 0 - 56/15*p**3 - 24/5*p - 38/5*p**2.
-2*p*(p + 4)*(2*p + 3)**2/15
Suppose -2965*a + 2989*a - 120 = 0. Let -9/2*j**3 + 0 - 3/2*j**2 + 0*j - 9/2*j**4 - 3/2*j**a = 0. What is j?
-1, 0
Let q(w) be the second derivative of -w**7/735 + 2*w**5/105 - 171*w**2/2 + w - 13. Let n(v) be the first derivative of q(v). Let n(r) = 0. Calculate r.
-2, 0, 2
Let a(p) = 12*p**3 - 6448*p**2 + 8. Let z(f) = -8*f**3 + 4299*f**2 - 5. Let m(n) = 5*a(n) + 8*z(n). What is y in m(y) = 0?
0, 538
Let a(f) be the first derivative of -11*f**5/60 + 37*f**4/36 - 17*f**3/9 + 4*f**2/3 - 99*f + 164. Let t(u) be the first derivative of a(u). Factor t(i).
-(i - 2)*(i - 1)*(11*i - 4)/3
What is m in 72*m**2 - 77*m**5 + 156*m**5 + 47*m**3 + 36*m - 78*m**5 + 88*m**4 - 76*m**4 = 0?
-6, -3, -2, -1, 0
Let n be (-2)/4*60/(-10). Let -y + y**2 - 2760*y**3 + 1 - 2*y**2 + 2761*y**n = 0. What is y?
-1, 1
Let z(r) be the second derivative of -3/56*r**7 - 34*r - 7/6*r**4 - 37/24*r**3 + 7/40*r**5 - 3/4*r**2 + 1/4*r**6 + 0. Solve z(h) = 0 for h.
-1, -1/3, 2, 3
Let t = -115955/4 - -28989. Let r(d) be the third derivative of -2*d**2 - t*d**3 + 1/160*d**6 - 1/20*d**5 + 5/32*d**4 + 0 + 22*d. Factor r(k).
3*(k - 2)*(k - 1)**2/4
Suppose -4*i + 4*n = -i - 64, 0 = -5*i - n + 76. Suppose 0 = 4*m - i - 48. Suppose 2*l**3 + m - 6 + 6*l**2 - 10 = 0. Calculate l.
-3, 0
Factor -21/2*m + 3/2*m**3 + 6*m**2 - 15.
3*(m - 2)*(m + 1)*(m + 5)/2
Let d(h) be the first derivative of -343*h**6/6 - 60319*h**5/5 + 4417*h**4/2 + 37036*h**3/3 + 6692*h**2 + 1408*h + 3783. Suppose d(k) = 0. What is k?
-176, -2/7, 1
Let p be (-2076)/3114*(1/2 + -1). Let x(m) be the first derivative of 20 + p*m**3 + m**2 + 0*m. Factor x(g).
g*(g + 2)
Suppose 8*y = 1272 + 8. Suppose -158*u - 8 = -y*u. Find r such that -3*r**2 + 1/2*r**4 - u*r + 0*r**3 - 3/2 = 0.
-1, 3
Let h be ((-9)/4)/(6/(-32)). Let k = h - -7. Factor -p**2 - k*p + 23*p - p**2.
-2*p*(p - 2)
Let z(w) be the first derivative of w**6/6 - 39*w**5/5 + 343*w**4/4 - 335*w**3 + 350*w**2 + 3747. Factor z(j).
j*(j - 28)*(j - 5)**2*(j - 1)
Determine k, given that 26*k**3 - 4*k + 2*k**5 - 85*k**4 + 109*k**4 + 22*k**3 - 68*k**2 - 110*k + 108 = 0.
-9, -3, -2, 1
Let z be (6/9)/(15/81). Let v = 118403 - 118400. Let -z*s**2 + v*s**4 - 12/5*s**3 + 3/5 + 12/5*s = 0. Calculate s.
-1, -1/5, 1
Let o be (-7)/(-210)*((-27)/8 - -4). Let i(l) be the second derivative of 9/8*l**2 + o*l**4 + 0 - 38*l + 1/4*l**3. Let i(p) = 0. What is p?
-3
Find w such that -360/7*w + 82/7*w**2 + 0 - 2/7*w**3 = 0.
0, 5, 36
Let c(i) be the second derivative of -i**6/18 + 2*i**5/15 - 89*i**3/6 + 81*i. Let x(z) be the second derivative of c(z). Factor x(w).
-4*w*(5*w - 4)
Let d(k) be the second derivative of 10*k**2 - k - 12 + 10/3*k**3 + 5/12*k**4. Factor d(r).
5*(r + 2)**2
Suppose 0 = -2*d - 2*b - 4 + 2, 2*b + 4 = -d. Suppose 4*p + p + 5 = -3*s, 5*p + 10 = -d*s. Factor 4*w**2 - 22*w**4 - 17*w**4 - 2*w**s + 2*w + 35*w**4.
-2*w*(w - 1)*(w + 1)**3
Let x be 394/(-50) + (-47)/(235/(-40)). Let n(a) be the first derivative of 14 + 1/20*a**4 + 0*a + 0*a**3 + x*a**5 + 1/15*a**6 + 0*a**2. Factor n(m).
m**3*(m + 1)*(2*m + 1)/5
Let w(o) be the second derivative of -23 + 1/126*o**7 + 2/45*o**6 + 0*o**2 + 0*o**3 + 0*o**4 + o + 1/20*o**5. Solve w(i) = 0.
-3, -1, 0
Let 4*p**4 - 141*p**3 - 137 + 137 + 616*p - 340*p**2 + 149*p**3 = 0. Calculate p.
-11, 0, 2, 7
Let r = -3083/12 - -3161/12. Let x(h) be the second derivative of -r*h**2 + 0 + 9/2*h**3 + 6*h + 1/20*h**5 - 5/4*h**4. Suppose x(z) = 0. What is z?
1, 13
Suppose -61*h = -67*h + 30. Suppose 43 - 68 + h*q**2 - 5*q - 35 = 0. Calculate q.
-3, 4
Let j(t) be the second derivative of -t**7/56 - 9*t**6/40 + 117*t**5/40 - 43*t**4/4 + 15*t**3 - 435*t. Determine c so that j(c) = 0.
-15, 0, 2
Let l = -269 - -231. Let x be 2 + -5 + 7 + l/19. Factor -2/7*k**x + 2/7 + 0*k.
-2*(k - 1)*(k + 1)/7
Let b = -591/8 + 68. Let z = -163/40 - b. Factor 0 - 2/5*y**2 + 0*y - 4*y**4 + 13/5*y**3 + z*y**5.
y**2*(y - 1)**2*(9*y - 2)/5
Let l(t) be the third derivative of t**8/1008 + t**7/210 + t**6/360 - t**5/60 - t**4/36 + 327*t**2 + 9. Let l(k) = 0. What is k?
-2, -1, 0, 1
Let z be 4/10 + (-18)/(-5). Suppose 180*h - 175*h = -2*w + 36, -3*h = w - 20. Factor -k**3 - k**5 + 0*k**3 + z*k**4 - w*k**3 + 5*k**3.
-k**3*(k - 2)**2
Factor -339388*n - 1/2*n**5 - 223723/2*n**3 + 113288 + 676873/2*n**2 - 949/2*n**4.
-(n - 1)**3*(n + 476)**2/2
Suppose -4*b = -6*b + 3*c - 28, -5*b + 5*c - 70 = 0. Let y be b/2*(-5)/350*12. Factor 0 - 4/5*q**2 - y*q + 2/5*q**3.
2*q*(q - 3)*(q + 1)/5
Let n be (-1763)/41 + 51 - (0/(-1) - -4). Find h, given that 18/5*h**5 + 0 - 10*h**n + 0*h**2 - 12/5*h**3 + 0*h = 0.
-2/9, 0, 3
Let h = -284749/45 + 31641/5. Factor h*t**2 + 8/3 - 20/9*t.
4*(t - 3)*(t - 2)/9
Let a(z) be the first derivative of 0*z + 7*z**2 + 153 - 2/27*z**3. Solve a(w) = 0 for w.
0, 63
Let n(j) = -j**3 + j**2 + j + 1. Let x be n(-1). Determine z so that -124*z + 0*z**3 + 8*z**3 + 8*z**3 - 126*z**2 + 2*z**x + 24 + 8*z**3 = 0.
-1, 1/6, 6
Let r(j) = -j**3 - 26*j**2 + 19*j - 10. Let n(u) = -112*u**2 + 26*u - 110 - 56*u + 240*u - 10*u**3 - 173*u**2. Let l(v) = 6*n(v) - 65*r(v). Factor l(c).
5*(c - 2)*(c - 1)**2
Let p(y) be the third derivative of y**5/20 + 3*y**4/8 - 90*y**3 - 3341*y**2. Factor p(g).
3*(g - 12)*(g + 15)
Let t be 53 - (4/(-10))/(10/(-25)). Factor -t + 28*k**3 - 390*k + 74*k - 20 - 216*k**2.
4*(k - 9)*(k + 1)*(7*k + 2)
Let h(r) be the second derivative of -3*r**6/14 - 4191*r**5/140 - 43431*r**4/28 - 452631*r**3/14 - 89373*r**2/7 - 1098*r. Factor h(t).
-3*(t + 31)**3*(15*t + 2)/7
Find y such that 21/2*y**2 - 21/2*y**4 + 23/6*y**3 + 0 - 13/6*y**5 - 5/3*y = 0.
-5, -1, 0, 2/13, 1
Determine h so that 186050 + 610*h + 1/2*h**2 = 0.
-610
Let i = -368 - -373. Suppose -3*n + 18 = -i*y + 3, -n - 2*y - 6 = 0. Factor -2/3*g**2 - 4/3*g + n.
-2*g*(g + 2)/3
Let g be (13/(-10738))/((-3)/(-696)). Let p = 25/59 + g. Let 2/7*f + 0 + 1/7*f**5 - 3/7*f**3 - p*f**4 + 1/7*f**2 = 0. Calculate f.
-1, 0, 1, 2
Suppose -h = 4*i + 10, 46*h - i - 13 = 41*h. Factor -v + 1/4*v**h + 0.
v*(v - 4)/4
Suppose 5*y**5 - 40*y**3 - 8*y**4 - y**5 + 80*y**2 + 12985*y - 25885*y + 12936*y - 72 = 0. What is y?
-3, -1, 1, 2, 3
Let h(l) be the second derivative of -l**8/36960 - l**7/3465 - l**6/1320 + 7*l**4/12 - 3*l**2/2 - 48*l. Let k(o) be the third derivative of h(o). Factor k(x).
-2*x*(x + 1)*(x + 3)/11
Factor 9*t + 51827 - 51787 + 19*t - 320*t**2.
-4*(5*t - 2)*(16*t + 5)
What is k in 54/13*k**2 + 336/13*k + 608/13 + 2/13*k**3 = 0?
-19, -4
Let i be 23 - (-172)/(-645)*75. Factor -2/3 + 1/3*t + 2/3*t**2 - 1/3*t**i.
-(t - 2)*(t - 1)*(t + 1)/3
Let q = -129 - -131. Suppose 23*m + 4*m**q - 28*m + 124 + 133*m = 0. What is m?
-31, -1
Let q = 1299 + -1278. Find c, given that -52/5*c**2 - 2*c**3 + 1/5*c**5 - 10 + q*c + 6/5*c**4 = 0.
-5, 1, 2
Let p(m) be the second derivative of 4*m**6/15 + 13*m**5