6*n - 36. Let y = 29 - 21. Let d be w(y). Find u such that -7*u - d*u**2 - u + 5*u + 0*u = 0.
-1/4, 0
Find i, given that -2/3*i + 61/3*i**2 - 7/3*i**5 - 8/3 - 91/3*i**3 + 47/3*i**4 = 0.
-2/7, 1, 4
Let i(t) be the third derivative of t**5/450 + 67*t**4/18 + 22445*t**3/9 + 2*t**2 - 10*t - 257. Factor i(c).
2*(c + 335)**2/15
Let h(a) be the first derivative of -a**3/3 - 4*a**2 - 3*a - 9. Let y be h(-6). Factor 3*s**2 + 13*s - 6*s + 5*s + y.
3*(s + 1)*(s + 3)
Let z(t) = 263*t - 5784. Let j be z(22). Suppose -6/7*m**j - 22/7*m + 8/7 = 0. What is m?
-4, 1/3
Let t = -342796/63 + 38090/7. Find p, given that 0*p - 2/9*p**4 + 0*p**2 + t*p**3 + 0 = 0.
0, 1
Let s(w) be the first derivative of -4/15*w**5 + 0*w**3 - 132 - 1/3*w**4 - 1/18*w**6 + 0*w + 0*w**2. Find n such that s(n) = 0.
-2, 0
Factor 33 - 10*j + 129 - 6 - 30*j - 4*j**2.
-4*(j - 3)*(j + 13)
Suppose 2*b = b. Let v = -50515/3 - -16839. Factor s + 2/3 + 1/3*s**5 - 4/3*s**3 - v*s**2 + b*s**4.
(s - 2)*(s - 1)*(s + 1)**3/3
Let w(y) be the second derivative of y**7/56 - y**6/24 - 37*y**5/20 - 11*y**4/12 + 4*y**3 + 918*y - 1. Suppose w(h) = 0. What is h?
-6, -1, 0, 2/3, 8
Let p(y) be the second derivative of -y**6/1800 + y**5/300 + y**4/40 - 5*y**3 + 118*y. Let l(t) be the second derivative of p(t). Factor l(v).
-(v - 3)*(v + 1)/5
Solve 1/5*h**4 - 76/5*h**3 + 1216*h + 1280 + 1284/5*h**2 = 0 for h.
-2, 40
Let t = 9215 + -9213. Let v(k) be the first derivative of 0*k + 1/13*k**t - 2/39*k**3 - 20. Factor v(o).
-2*o*(o - 1)/13
Let k(f) = f**2 + f + 10. Let v be k(-6). Suppose 3*l + 2*r = 23 - 0, v = 4*l + 5*r. Determine g, given that -6*g**l + 7*g**5 + g - g + 2*g**4 + g**3 = 0.
-1, 0
Let w(g) be the first derivative of g**7/56 + 3*g**6/40 - g**4/4 + 3*g - 69. Let s(x) be the first derivative of w(x). Factor s(r).
3*r**2*(r - 1)*(r + 2)**2/4
Factor -2/17*f**2 + 26/17*f - 80/17.
-2*(f - 8)*(f - 5)/17
Let h(n) be the third derivative of 7*n**4/24 - 16*n**3 + 3*n**2 + 2. Let j be h(14). Factor 0 - 36/5*y**j - 8/5*y.
-4*y*(9*y + 2)/5
Let v = -141 - -144. Factor -4 + 673*q**v - 3*q**2 + 4 - 676*q**3.
-3*q**2*(q + 1)
Factor 110 + 18*s**2 + 80*s**2 + 90*s + 17*s**2 - 9*s + 204*s.
5*(s + 2)*(23*s + 11)
Let t(g) be the second derivative of g**4/6 - 2062*g**3/3 + 1062961*g**2 + 333*g - 2. Determine j, given that t(j) = 0.
1031
Let v = 108392/487683 + -2/54187. Factor -2/3*r - v*r**3 + 2/9 + 2/3*r**2.
-2*(r - 1)**3/9
Find x, given that -110/3*x**3 + 0 + 0*x + 36*x**2 + 2/3*x**4 = 0.
0, 1, 54
Let n(b) be the first derivative of -16*b**3/3 + 17*b**2 + 42*b + 556. Factor n(z).
-2*(z - 3)*(8*z + 7)
Suppose 0 = -d + 84. Factor -84*s - 5*s**3 - 30*s**2 + 128*s - d*s.
-5*s*(s + 2)*(s + 4)
Let k be (-220)/(-4) + 7 - -6. Factor -1420 + 195*d + 5*d**3 + 3980 + 765*d + k*d**2 + 52*d**2.
5*(d + 8)**3
Let k(r) = r**3 - 28*r**2 + 149*r + 223. Let p be k(20). Find u, given that -82308 - 6498*u - 3/2*u**p - 171*u**2 = 0.
-38
Factor 155 + 7*r**2 - 26*r - 47*r + 117*r - 35 - 3*r**2.
4*(r + 5)*(r + 6)
Let q(t) = 34*t**2 + 28032*t + 28025. Let p(l) = 8*l**2 + 7008*l + 7006. Let h(w) = -9*p(w) + 2*q(w). Determine o, given that h(o) = 0.
-1751, -1
Let j(z) = 5*z - 18. Let t be j(5). Find i such that -t - 2*i**2 - 7 + 7 - 5 + 14*i = 0.
1, 6
Determine j so that -21532*j + 15028*j + 21886 - 16696*j + 18114 + 3364*j**2 = 0.
100/29
Let q(t) be the second derivative of -t**7/168 + 11*t**6/15 - 1091*t**5/40 + 451*t**4/2 - 5043*t**3/8 - 1534*t. Suppose q(b) = 0. What is b?
0, 3, 41
Let z(o) be the first derivative of -o**3/5 + 171*o**2/10 + 2982*o/5 - 3568. Factor z(k).
-3*(k - 71)*(k + 14)/5
Let 671/2*f**2 - 27/2*f**4 + 50 + 225*f + 639/4*f**3 - 27/4*f**5 = 0. What is f?
-5, -2/3, 5
Let r(i) be the third derivative of 8*i**2 + 1/9*i**4 - 5/6*i**3 + 0 - 1/45*i**5 + 0*i + 1/540*i**6. Let q(t) be the first derivative of r(t). Factor q(h).
2*(h - 2)**2/3
Factor -34/3*u**2 - 65/3*u - 1/6*u**4 - 25/2 - 7/3*u**3.
-(u + 1)*(u + 3)*(u + 5)**2/6
Let q(r) be the second derivative of -r**6/24 - 553*r**5/80 - 1283*r**4/8 - 3404*r**3/3 + 1520*r**2 + 11354*r - 2. Determine a so that q(a) = 0.
-95, -8, 2/5
Let a(m) be the first derivative of 5*m**4/4 - 370*m**3/3 - 380*m**2 - 4131. Determine f so that a(f) = 0.
-2, 0, 76
Factor -148/5*k**2 - 1628/5*k + 1152/5 - 3/5*k**3.
-(k + 18)*(k + 32)*(3*k - 2)/5
Let l(b) be the third derivative of b**5/330 - 17*b**4/12 + 910*b**3/33 + 2*b**2 + 20*b. Factor l(u).
2*(u - 182)*(u - 5)/11
Let i(n) be the third derivative of -n**6/240 + 243*n**5/10 - 59049*n**4 + 76527504*n**3 + 645*n**2. Factor i(s).
-(s - 972)**3/2
Let a(u) be the third derivative of -u - 1/30*u**6 - u**5 + 3*u**2 - 21/2*u**4 + 0 - 98/3*u**3. Determine j so that a(j) = 0.
-7, -1
Let w be (72/54)/((-60)/(-27) + (6 - 6)). Suppose 4*x + 5*l = 0, -2*l = 2*x + l. Solve w*z**3 + 3/5*z**2 + 0*z + x = 0.
-1, 0
Let n(u) be the second derivative of u**7/14 + 13*u**6/5 + 171*u**5/10 + 49*u**4 + 149*u**3/2 + 63*u**2 + 3007*u. Find p, given that n(p) = 0.
-21, -2, -1
Let o be 1 - (1 + -1 + -3). Suppose -16 = -o*a, -2*d - 16 = a - 6*a. Determine s, given that 9*s + 16*s**2 + 18*s**d - 37*s**2 = 0.
0, 3
Let c(f) be the second derivative of -f**7/28 + 41*f**6/75 - 119*f**5/200 - 109*f**4/60 + 4*f**3/3 - f - 402. Let c(r) = 0. Calculate r.
-1, 0, 1/3, 8/5, 10
Let d(n) be the third derivative of 0*n - 65/36*n**3 + n**2 - 29/72*n**5 - 1/72*n**6 - 25/18*n**4 + 166. Let d(f) = 0. What is f?
-13, -1, -1/2
Let j = -132 + 219. Suppose 3*o + 3*b = -0*o + 87, -3*o - 4*b = -j. Determine h so that -18 + 33*h**2 - o*h**2 + 2 + 16*h - 4*h**3 = 0.
-2, 1, 2
Let f = 145 - 130. What is b in 810*b**2 + 56*b**3 + f - 513*b + 67 + 67*b - 22 + 0 = 0?
-15, 1/4, 2/7
What is o in -100*o + 70*o**2 + 25 + 15 - 293*o**5 + o**4 + 153*o**5 + 145*o**5 - 21*o**4 + 5*o**3 = 0?
-2, 1, 2
Let l(u) = 7*u**2 + 1408*u + 240813. Let s(m) = -8*m**2 - 1412*m - 240812. Let b(c) = 6*l(c) + 5*s(c). Let b(f) = 0. Calculate f.
-347
Let n(t) = -4*t**2 - 8*t + 4. Let u(q) be the first derivative of -5*q**3/3 - 5*q**2 + 3*q - 24. Let h(v) = 3*n(v) - 2*u(v). Factor h(p).
-2*(p - 1)*(p + 3)
Suppose 354 = 203*u - 351 - 107. Let -2/5*l**u + 0 + 16/5*l**3 - 2*l**2 - 28/5*l = 0. Calculate l.
-1, 0, 2, 7
Let d be (10 - 940/110)/((-438)/(-803)). Solve 5/3 + 1/3*g**2 + 2/3*g**3 - d*g = 0.
-5/2, 1
Let a(c) be the first derivative of -3*c**4/16 - 13*c**3/4 + 3*c**2/2 + 39*c + 636. Factor a(m).
-3*(m - 2)*(m + 2)*(m + 13)/4
Let n(a) be the third derivative of -a**8/1176 - a**7/245 - a**6/210 + 3153*a**2. Factor n(w).
-2*w**3*(w + 1)*(w + 2)/7
Let q = -246 + 251. Suppose -3*m = q*l + 20, -5*m - 4*l - 29 + 13 = 0. What is n in m + 6/19*n + 2/19*n**2 = 0?
-3, 0
Let d be 4 - ((-56)/(-48) + (-2)/12). Factor -2*t**2 + d - 3*t + 17*t**5 - 18*t**5 + 4*t**3 - 1.
-(t - 1)**3*(t + 1)*(t + 2)
Let k(l) be the third derivative of 0*l**3 + 126*l**2 + 0*l - 1/1512*l**8 + 2/27*l**4 + 4/945*l**7 - 7/135*l**5 + 0 + 1/180*l**6. Suppose k(s) = 0. Calculate s.
-2, 0, 1, 4
Solve 20*m**3 + 236/3*m**2 + 4/3*m**4 + 0 + 60*m = 0 for m.
-9, -5, -1, 0
Suppose -4*x + 4 = -2*g, -5*g + 13 - 5 = -4*x. Let j be 0 - (g + -8 + 2). Suppose 3*s**2 - 2*s + 3*s**2 - 2*s**2 - j*s = 0. Calculate s.
0, 1
Factor 0 - 33/8*a**3 - 15/4*a**4 + 3/8*a**5 + 0*a + 0*a**2.
3*a**3*(a - 11)*(a + 1)/8
Let w(b) be the second derivative of 0 + 0*b**2 - 1/20*b**5 + 25/18*b**3 + 65*b - 37/18*b**4. Factor w(s).
-s*(s + 25)*(3*s - 1)/3
Let i be 47/((-1269)/108) - 80/(-10). Factor -1/2*s**4 - 3*s**2 + i*s - 4*s**3 + 7/2.
-(s - 1)*(s + 1)**2*(s + 7)/2
Let i(d) be the third derivative of 1/4*d**3 + 10*d**2 - 1/240*d**5 - 1/96*d**4 - 7*d + 0. Suppose i(g) = 0. What is g?
-3, 2
Let p(v) be the third derivative of -v**8/84 - 24*v**7/35 - 67*v**6/15 - 196*v**5/15 - 43*v**4/2 - 64*v**3/3 + 928*v**2. Factor p(n).
-4*(n + 1)**4*(n + 32)
Factor 15*n**3 + 120*n - 129*n**2 + 5*n**5 - 9050*n**4 - 56*n**2 + 9095*n**4.
5*n*(n - 1)**2*(n + 3)*(n + 8)
Factor -4*t**2 - 8*t + 0 - 1/2*t**3.
-t*(t + 4)**2/2
Let w(r) be the second derivative of r**5/120 - 83*r**4/72 - 169*r**3/36 - 85*r**2/12 - 1581*r. Determine k, given that w(k) = 0.
-1, 85
Let p be 1*((11 - (-46)/(-23)) + (-3 - 6)). Factor 0 + 21/4*k**3 - 3/2*k**2 + p*k.
3*k**2*(7*k - 2)/4
Suppose -8/5*i - 1170*i**4 + 526/5*i**3 + 80*i**2 - 8568/5*i**5 + 0 = 0