se 0 + b*j + 2/3*j**z - 10/3*j**2 = 0. What is j?
0, 1, 4
Let r(i) be the first derivative of -i**4 + 328*i**3 - 978*i**2 + 976*i + 5548. Factor r(d).
-4*(d - 244)*(d - 1)**2
Let n = -819 - -929. Let y be (5/n)/(3/12). Find c, given that -y*c**2 + 24/11*c - 72/11 = 0.
6
Factor -6718/5*h**3 - 19198/5*h**2 - 18881/5*h - 1/5*h**5 - 6241/5 - 161/5*h**4.
-(h + 1)**3*(h + 79)**2/5
Let h(l) be the third derivative of -l**6/24 - l**5/2 + 35*l**4/24 + 50*l**3 - 2*l**2 + 692*l. Factor h(c).
-5*(c - 3)*(c + 4)*(c + 5)
Let -148*p - 432*p**3 + 441*p**2 - 27/2*p**4 + 33/2 = 0. What is p?
-33, 1/3
Let d be -14*((-7)/6 - 14/(-21)). Let z be 1/(((-2)/(-14))/(2/d)). Factor -5/2*a**z + 0 + 5*a.
-5*a*(a - 2)/2
Let z(j) be the first derivative of -2*j**5/25 - 218*j**4/5 - 8468*j**3 - 622340*j**2 - 1219450*j + 1439. Factor z(k).
-2*(k + 1)*(k + 145)**3/5
Determine b so that -2/17*b**2 + 96/17 + 16/17*b = 0.
-4, 12
Let o(m) be the second derivative of -m**5/50 - 137*m**4/30 + 187*m**3/5 - 423*m**2/5 - 280*m. Factor o(u).
-2*(u - 3)*(u - 1)*(u + 141)/5
Let h(n) be the third derivative of 157609*n**5/240 + 397*n**4/24 + n**3/6 - 20*n**2 + 3*n + 2. Factor h(d).
(397*d + 2)**2/4
Suppose 0 = 185*c - 7439 + 6514. Let 3*j - 9/4*j**3 - 3/4*j**c + 0 - 15/4*j**4 + 15/4*j**2 = 0. What is j?
-4, -1, 0, 1
Let p(j) be the first derivative of 4*j**3/9 - 116*j**2/3 + 780*j - 5186. Factor p(n).
4*(n - 45)*(n - 13)/3
Find h, given that 153/2*h**4 + 0*h + 0 + 2*h**2 + 154*h**3 = 0.
-2, -2/153, 0
Suppose 4*v - 4*a + 32 = 0, -5052 + 4991 = -13*v - 2*a. Determine k, given that 20/3*k**v + 14*k**2 - 8/3*k + 2/3*k**4 - 56/3 = 0.
-7, -2, 1
Let m(w) = -57*w**2 + 7482*w - 7614. Let p(n) = -17*n**2 + 2245*n - 2284. Let h(g) = -8*m(g) + 27*p(g). What is x in h(x) = 0?
1, 252
Let r(u) be the first derivative of -u**5/300 - 9*u**4/10 - 486*u**3/5 - 2*u**2 + 9*u - 65. Let o(i) be the second derivative of r(i). Factor o(w).
-(w + 54)**2/5
Let r(i) be the third derivative of -8/21*i**3 + 0*i**4 + i**2 + 1/105*i**5 - 26 + 0*i. Factor r(f).
4*(f - 2)*(f + 2)/7
Suppose -3785*f + 34 = -3768*f. Let q(b) be the second derivative of -25*b + 1/2*b**3 - 1/12*b**4 + 0 + 0*b**f. Find y such that q(y) = 0.
0, 3
Let y(q) = q**2 + q - 4. Let c be y(-3). Factor r**4 + 3*r**3 - 17*r + 0*r**4 + 18*r + c*r**2 + r**2.
r*(r + 1)**3
Determine a, given that 51458654025/4*a - 5325/4*a**4 - 241589925/2*a**2 + 1134225/2*a**3 + 5/4*a**5 - 2192138661465/4 = 0.
213
Let o = -75 - -88. Let z = 16 - o. Suppose 5*b**z + 4*b**2 + 2 - 3*b + 16*b - 4*b**3 - 8*b = 0. Calculate b.
-2, -1
Determine f so that 12/5 - 852/5*f**2 + 681*f = 0.
-1/284, 4
Suppose 544*j - 7560 = -1976*j. Suppose 121/3*b**3 - 19*b - j - 55/3*b**2 = 0. What is b?
-3/11, 1
Let d be 10/(-1)*1169/(-5845). Factor -15/8 - 9/8*b**d + 3/8*b**3 - 27/8*b.
3*(b - 5)*(b + 1)**2/8
Let z(q) be the first derivative of -q**5/15 + 11*q**4 - 526*q**3 + 4158*q**2 - 11907*q + 2284. Let z(d) = 0. What is d?
3, 63
Let b(a) be the first derivative of 16/9*a + 175/18*a**4 + 124/9*a**3 + 98/45*a**5 + 192 + 68/9*a**2. Solve b(r) = 0 for r.
-2, -1, -2/7
Let 702/7*r + 3/7 - 702/7*r**3 - 41067/7*r**4 + 41064/7*r**2 = 0. What is r?
-1, -1/117, 1
Let m(w) be the third derivative of w**7/315 - 7*w**6/90 - 17*w**5/30 - 3*w**2 - 25*w + 16. Determine c so that m(c) = 0.
-3, 0, 17
Let g = 61 + -53. Let j be g/(-40) - (-32)/10. Solve 2*l**2 + 10*l + 6 - 20*l - 12*l**j + 14*l**3 = 0 for l.
-3, 1
Let r = 307931 - 307931. Determine m so that r - 1/4*m**2 - 1/2*m = 0.
-2, 0
Let d(c) be the first derivative of 2/9*c**3 + 2/3*c**2 + 32 - 1/2*c**4 + 0*c + 1/9*c**6 - 2/15*c**5. Let d(k) = 0. Calculate k.
-1, 0, 1, 2
Suppose -760*z = -755*z - 10, y - 8 = -2*z. Let i(o) be the second derivative of 4*o + 0 + 0*o**3 - 1/10*o**2 + 1/60*o**y. Solve i(p) = 0.
-1, 1
Let p(a) be the third derivative of -1/15*a**5 - 41/3*a**4 - 3362/3*a**3 + a**2 + 0 + 24*a. Suppose p(m) = 0. Calculate m.
-41
Let o(g) = -22*g - 37. Let h be o(-3). Factor p**2 - h*p**3 + 21*p**3 - 8*p**4 + 3*p**2 + 4*p**4 + 0*p**2 + 8*p.
-4*p*(p - 1)*(p + 1)*(p + 2)
Let h(n) be the second derivative of n**6/30 - 161*n**4/12 - 78*n**3 - 154*n**2 + 972*n. Determine k so that h(k) = 0.
-11, -2, -1, 14
Let s be (((-2)/12)/(-1))/((-59880)/288 - -208). Suppose 56/5*m**s + 4/5*m**4 + 28/5*m**3 + 32/5*m + 0 = 0. Calculate m.
-4, -2, -1, 0
Let s = 125/13144 - -7/248. Let q = s - -84/583. Factor 0 + q*o**2 - 10/11*o.
2*o*(o - 5)/11
Let t(s) be the second derivative of 7/40*s**5 + 1/2*s**2 - 2 - 1/12*s**6 - 50*s + 1/8*s**4 - 7/12*s**3. Let t(q) = 0. Calculate q.
-1, 2/5, 1
Suppose -220 = -18*v - 184. Solve -385*j**2 - 3467*j - 4276*j - 9*j**3 - 140*j**v + 746 - 3269 = 0.
-29, -1/3
Suppose 64*b - 223 - 161 = 0. Factor -2/3*x**2 - b - 4*x.
-2*(x + 3)**2/3
Let k = -740 + 974. Let m = k + -230. Factor -2*t - 1/4*t**2 - m.
-(t + 4)**2/4
Let f be 3/((42/(-4))/(-7)). Let a(g) be the first derivative of 1 + 0 - 147*g + 22 - g**3 - 21*g**f. Find w such that a(w) = 0.
-7
Let i(s) be the second derivative of -11*s**5/5 - 30*s**4 - 32*s**3/3 + 2*s - 4470. Factor i(q).
-4*q*(q + 8)*(11*q + 2)
Let i be ((-3914)/190 - -20)*35/(-3). Suppose 2*y + 0 - 33/4*y**3 - 5/4*y**5 + i*y**4 + 1/2*y**2 = 0. What is y?
-2/5, 0, 1, 4
Let f(x) be the first derivative of x**5/180 - 7*x**4/72 - 24*x**2 + 82. Let c(o) be the second derivative of f(o). Find m, given that c(m) = 0.
0, 7
Let u(y) = -y - 8. Let f be u(-10). Factor 130*i**f + 568*i + 68*i**3 + 62*i**2 + 8*i**4 + 64 - 360*i.
4*(i + 2)**2*(i + 4)*(2*i + 1)
Let 4/3*q**2 - 2585/3*q + 646/3 = 0. What is q?
1/4, 646
Let g(m) be the third derivative of m**6/220 + m**5/110 - 41*m**4/22 + 80*m**3/11 + 1017*m**2. Solve g(a) = 0.
-10, 1, 8
Let m be 700/315*2/5. Let k(c) be the first derivative of 29 + 1/15*c**5 + 8/3*c**2 - 7/12*c**4 + 0*c + m*c**3. Find s, given that k(s) = 0.
-1, 0, 4
Suppose -h = -0*h + 1, -2*h = x - 18. Let m(f) = -6*f + 4. Let c be m(-1). Factor 4*j**3 - 5*j + x*j + c - 9*j**3.
-5*(j - 2)*(j + 1)**2
Suppose 170 = 2*o + 15*o. Factor 3*t**3 - 4*t**3 + 30*t**2 - o*t**2 - 4*t**3.
-5*t**2*(t - 4)
Let p(o) = 2*o - 40*o + 4*o + 2*o**2 - 12 + 0. Let v(r) = -r**2 - r + 2. Let x(u) = -p(u) - 6*v(u). Determine b so that x(b) = 0.
-10, 0
Find c such that 0 + 4*c**3 + 289/6*c**2 + 2*c = 0.
-12, -1/24, 0
Let u be ((-111)/45066)/((-2)/(-524)). Let m = 31/29 - u. Factor -2/7*n**2 + m + 10/7*n.
-2*(n - 6)*(n + 1)/7
Suppose 4*r - 7*h = -8*h + 6, -2 = 4*r + 5*h. Factor -2*k**3 - k**3 + 9*k**r - 3*k**4 + 78*k - 75*k - 6.
-3*(k - 1)**2*(k + 1)*(k + 2)
Let z(k) be the third derivative of 1/60*k**6 - 1/105*k**7 + 1/6*k**5 - 51*k**2 + 0 + 0*k**3 + 0*k + 1/4*k**4. Factor z(f).
-2*f*(f - 3)*(f + 1)**2
Let u(y) be the second derivative of -y**7/180 + y**6/54 + 11*y**5/180 - y**4/6 + 11*y**3/2 + 2*y + 73. Let x(d) be the second derivative of u(d). Factor x(b).
-2*(b - 2)*(b + 1)*(7*b - 3)/3
Suppose s + 5*y = 26, -s + 16 = 3*y - 8. Let h(k) = 5*k + 1 - s*k + 7*k + 8*k. Let q(c) = c**2 + 5*c - 5. Let d(l) = -20*h(l) - 4*q(l). Solve d(i) = 0.
0
Let q be -96 + 84 - (-5 + -11). Suppose 28/5 - 2/5*i**q + 6*i**3 - 26/5*i**2 - 6*i = 0. Calculate i.
-1, 1, 14
Let f(j) be the third derivative of j**9/80640 - j**8/20160 - j**7/5040 - j**5/20 - j**3/6 + 79*j**2. Let m(q) be the third derivative of f(q). Factor m(x).
x*(x - 2)*(3*x + 2)/4
Let h = 28002 - 27998. Let w(j) be the first derivative of -4/7*j - 2/7*j**2 + 4/21*j**3 + 1/7*j**h + 43. Determine l, given that w(l) = 0.
-1, 1
Let n(c) = 2*c - 2 - 3*c**2 + 2*c**2 + 4*c. Let l be n(5). Factor -403*v - 7*v**3 + 2*v**l + 408*v.
-5*v*(v - 1)*(v + 1)
Let a be (-100765)/(-3220) + (-1)/23. Let m be ((-3)/(-24))/(4/1900). Determine f, given that a - 5/8*f**4 + m*f + 73/8*f**3 - 345/8*f**2 = 0.
-2/5, 5
Suppose 5*h = -4*n + 347, 5*n = -4*h + 7*h - 186. Suppose 3*l = -5*t + 93, -6*t = -2*t - 5*l - h. Factor -12*s**3 + 0 - 2*s**3 + t*s**3 + 2*s**4 - 2 - 4*s.
2*(s - 1)*(s + 1)**3
Let j(w) = -56*w**3 + 234*w**2 + 248*w - 1338. Let m(n) = 9*n**3 - 2*n**2 - 2*n - 1. Let v(c) = -j(c) - 6*m(c). Determine f so that v(f) = 0.
-3, 2, 112
Let q = 3975991/6 - 662665. Factor 2/3*d**3 + 0 - 1/2*d**2 + 0*d - q*d**4.
-d**2*(d - 3)*(d - 1)/6
Factor -624/23 - 2/23*k**3 + 102/23*k**2 + 116/23*k.
-2*(k - 52)*(k - 2)*(k + 3)/23
Solve