4)/21)/(z/36). Find p such that g + 10/7*p**3 - 10/7*p**2 - 10/7*p - 2/7*p**4 = 0.
-1, 1, 2, 3
Let d(b) = -9*b**3 - 43*b**2 - 4*b + 7. Let y be d(-5). Determine h so that -y - 12*h**2 + 55*h**3 - 5*h**4 + 45*h + 215*h - 178*h**2 - 43 = 0.
1, 2, 6
Let l = 7552 + -7552. Let q(w) be the third derivative of -1/42*w**7 - 24*w**2 + 55/12*w**4 + 5/12*w**6 + l*w - 35/6*w**3 + 0 - 2*w**5. What is j in q(j) = 0?
1, 7
Let k(y) be the first derivative of y**6/21 + 18*y**5/35 + 16*y**4/7 + 16*y**3/3 + 48*y**2/7 + 32*y/7 - 5845. Let k(q) = 0. What is q?
-2, -1
Let q(o) be the first derivative of o**8/3920 + o**7/392 + o**6/280 - o**5/56 - o**4/14 - 8*o**3 - 17. Let n(f) be the third derivative of q(f). Factor n(s).
3*(s - 1)*(s + 1)**2*(s + 4)/7
Find l such that 0 + 51/2*l**4 - 2420*l - 1/2*l**5 + 1914*l**2 - 401*l**3 = 0.
0, 2, 5, 22
Let s be 13*728/(-1183) - (-5)/((-10)/(-24)). Let -3 + 11/3*v**2 + s*v + 2/3*v**3 = 0. What is v?
-3, 1/2
Let y(o) be the second derivative of o**4/18 - 265*o**3/9 - 268*o**2 - 291*o - 3. Determine t, given that y(t) = 0.
-3, 268
Let f(p) = -p**3 + 25*p**2 + p - 107. Let k be f(22). Let k*a - 195 + 5*a**2 - 1317*a + 0*a**2 = 0. Calculate a.
-13, 3
Find s, given that 311*s + 1/4*s**2 + 96721 = 0.
-622
Let o(s) be the first derivative of s**7/1785 + s**6/1020 - s**5/510 - s**4/204 + 19*s**2 - s + 100. Let q(x) be the second derivative of o(x). Factor q(n).
2*n*(n - 1)*(n + 1)**2/17
Suppose -6*g - 525 = -531*g. Let l(o) be the first derivative of g + 8*o**3 - 18*o - 1/2*o**6 - 6/5*o**5 - 15/2*o**2 + 9/2*o**4. Find i such that l(i) = 0.
-3, -1, 1, 2
Factor -8*s - 2/7*s**2 - 150/7.
-2*(s + 3)*(s + 25)/7
Let i = 2212/3345 - -6/1115. Let w be (1/(-3))/(-11 + (-42)/(-4)). Factor -2/3*a**3 + 2/3 + w*a - i*a**2.
-2*(a - 1)*(a + 1)**2/3
Let l(t) = -2*t**2 + 21*t + 27. Let g be l(11). Suppose -g*n - p = -15*n, -5*n = 4*p - 2. Factor -1/5*o**n - o - 4/5.
-(o + 1)*(o + 4)/5
Factor 4*r**3 - 6045*r**2 - 2649*r**2 + 909*r**2 + r**3 + 3026415*r + 3034205.
5*(r - 779)**2*(r + 1)
Let w be (-225)/1275 + 2289/833. Factor -w + 3/7*h**2 + 3/7*h.
3*(h - 2)*(h + 3)/7
Let u(a) = -45*a - 170. Let i be u(-3). Let v be -4 - ((-105)/i - 93/13). Factor 6/13 + 4/13*s - v*s**2.
-2*(s - 3)*(s + 1)/13
Factor -50/9 - 2/9*t**3 - 22/9*t**2 - 70/9*t.
-2*(t + 1)*(t + 5)**2/9
Let h(q) be the third derivative of q**5/90 - 29*q**4/18 - 59*q**3/9 - 22*q**2 - 10. Factor h(z).
2*(z - 59)*(z + 1)/3
Let o(w) be the first derivative of -w**6/2 + 57*w**4/16 + w**3/4 - 9*w**2/2 - 3*w + 2637. Find c such that o(c) = 0.
-2, -1/2, 1, 2
Suppose -15/11*q**4 + 15/11*q**2 + 0 + 13/11*q**3 + 1/11*q**5 - 14/11*q = 0. What is q?
-1, 0, 1, 14
Solve 2*r**3 - 109*r**2 + 0*r**3 - 161*r**2 + 20400*r - 20000 - 56*r**2 - 76*r**2 = 0 for r.
1, 100
Find s such that 655*s**3 + 322*s**2 - 640 - 219*s**3 - 215*s**3 - 223*s**3 - 316*s = 0.
-1, 2, 160
Let k(h) be the second derivative of 7*h**5/20 - 3*h**4/4 - 2*h**3 + 2*h**2 - 1282*h. What is a in k(a) = 0?
-1, 2/7, 2
Find v, given that -136/7*v**4 - 256/7*v**3 + 2400/7*v + 5920/7*v**2 + 0 + 10/7*v**5 = 0.
-6, -2/5, 0, 10
Solve -3*d**3 - 92*d**2 + 5412*d - 91*d**2 - 91*d**2 + 298*d**2 + 75504 = 0 for d.
-22, 52
Factor 1/2*d**2 + 292 - 585/2*d.
(d - 584)*(d - 1)/2
Let v = 116847 - 116757. Determine c so that 188/5*c**3 + 32/5*c**4 + 2/5*c**5 + 0 + v*c + 96*c**2 = 0.
-5, -3, 0
Let u = -8580602522/567 - -15133344. Let v = u + 17/81. Let -24/7 - 6/7*c**3 + v*c**2 + 27/7*c = 0. What is c?
-1, 1/2, 8
Solve -763*c**2 - 760*c**2 - 3*c**3 - 4*c**4 + 1524*c**2 = 0 for c.
-1, 0, 1/4
Let i(w) be the third derivative of -w**5/180 - 5*w**4/9 + 41*w**3/18 - 2677*w**2. Factor i(d).
-(d - 1)*(d + 41)/3
Let 4888/7*p**3 + 3700/7*p**2 + 36/7*p**4 + 2160/7 - 10784/7*p = 0. What is p?
-135, -2, 2/9, 1
Let x(l) = l**2 - 5*l + 9. Let w be x(5). Suppose -w = 15*h - 18*h. Determine v, given that 0*v**3 - 10*v**2 - 22*v**2 - v**3 + 128*v + 3*v**h = 0.
0, 8
Let f be (5 + 135/(-25))/((2/30)/(27/(-81))). Determine a, given that 0 + 1/5*a + 1/5*a**f = 0.
-1, 0
Let w be 8185*(-8)/(1560/(-27)) - -1. Let y = w - 1134. Solve y*q**2 - 2/13 - 2/13*q**4 - 4/13*q**3 + 2/13*q + 2/13*q**5 = 0 for q.
-1, 1
Let f = -57 + 52. Let l be -3 + 4 + f + 8. Factor 8*k**2 + 9*k**2 + 6*k**2 - l - 19*k**2.
4*(k - 1)*(k + 1)
Let s(b) be the first derivative of -b**5/135 - b**4/27 + 5*b**2/2 - 10*b - 125. Let g(p) be the second derivative of s(p). Determine o so that g(o) = 0.
-2, 0
Let c(a) = -2211*a + 88440. Let t be c(40). Factor 1/2*u - 1/2*u**3 + t + 0*u**2.
-u*(u - 1)*(u + 1)/2
Let j(r) = 448*r + 13. Let a be j(-1). Let p = 437 + a. Suppose 8*n - 24*n**5 + 16/3 + 58/3*n**3 - 52*n**p + 50*n**4 = 0. Calculate n.
-1, -1/4, 2/3, 2
Factor 1/2*d**2 + 0*d**3 + 0 + 1/4*d**5 - 1/2*d**4 - 1/4*d.
d*(d - 1)**3*(d + 1)/4
What is i in 88/9*i**3 - 2/3*i**2 - 260/9*i + 2/9*i**4 + 176/9 = 0?
-44, -2, 1
Let v(i) be the first derivative of i**6/24 - i**5/20 - 3*i**4/16 + i**3/12 + i**2/4 + 1975. What is n in v(n) = 0?
-1, 0, 1, 2
Let k be (-20)/(-2) - (2 + 69/9). Let j(s) be the second derivative of 1/15*s**6 + 0 + 2*s**2 + k*s**3 - 17*s - 1/2*s**4 - 1/10*s**5. What is z in j(z) = 0?
-1, 1, 2
Suppose -22/5*a**3 - 2/15*a**5 + 0*a - 68/15*a**4 + 0 + 0*a**2 = 0. Calculate a.
-33, -1, 0
Let f be 5/(-2)*(-64)/40. Let v(a) be the third derivative of -1/135*a**5 + 0*a - 2/27*a**f + 19*a**2 + 0 - 2/9*a**3. Factor v(u).
-4*(u + 1)*(u + 3)/9
Let a(f) be the third derivative of -f**6/40 - 139*f**5/20 + 53*f**4 - 142*f**3 + 6618*f**2. Solve a(k) = 0.
-142, 1, 2
Let r(z) be the first derivative of -22/57*z**3 + 81 - 90/19*z - 39/19*z**2 - 1/38*z**4. Factor r(b).
-2*(b + 3)**2*(b + 5)/19
Suppose 0 = -6*q + 60 + 30. Suppose -2*y = -h + 7, -4*h + 0 = 5*y - q. Let 24*c**2 + 20*c - 4*c**h - 8*c**3 + 2*c**5 - 28*c**4 + 4 - 10*c**5 = 0. Calculate c.
-1, -1/3, 1
Let w = 60 + -62. Let l be -1 - w - (-16 - -15). Factor 10*r**4 + l*r**3 + 10*r**2 + 2*r**3 - 32*r**2 + 16*r**2.
2*r**2*(r + 1)*(5*r - 3)
Let a be ((-20)/(-14))/((-5)/(-35)). Solve -9*u**2 + a*u**3 - 1654*u - 4*u**5 + 1648*u + 10*u**4 - u**2 = 0 for u.
-1, -1/2, 0, 1, 3
Let j be (-16)/44*(-1056)/192. Factor -32/7 - 4*r + 4/7*r**j.
4*(r - 8)*(r + 1)/7
Let k(r) = r**3 + 10*r**2 + 11*r + 22. Let h be k(-9). Factor 145*u**2 + 76*u - 12 + h*u - 1 + 70*u**3 + 18.
5*(u + 1)**2*(14*u + 1)
Let i = 53 + -53. Let y be (-32)/(-144)*(1 - i). Factor -y*w**2 + 2/9*w + 4/9.
-2*(w - 2)*(w + 1)/9
Let j(m) = 5*m**5 - 35*m**4 + 160*m**3 - 310*m**2 + 215*m - 65. Let w(o) = o**5 - 3*o**3 - 1. Let y(i) = -j(i) + 10*w(i). Let y(p) = 0. Calculate p.
-11, 1
Factor -3312738/5 - 5148/5*j - 2/5*j**2.
-2*(j + 1287)**2/5
Let c be (-1 + -3821)*38/(-190). Let v = c + -764. Find i, given that 2/5*i**4 - v*i - 2/5*i**2 + 0 + 3/10*i**3 + 1/10*i**5 = 0.
-2, -1, 0, 1
Suppose -3*u = 3*m + 45, 65*u - 60 = -4*m + 69*u. Solve -24/5*l**2 + 18/5*l**3 + m + 0*l - 3/5*l**4 = 0.
0, 2, 4
Let n be 373 - 369 - ((-3)/4 + 3/(-12)). Let s = -6 - -9. What is c in 23*c**2 - 25*c + n*c**s + 22*c**2 + 30 - 55*c**2 = 0?
-2, 1, 3
Let o(m) be the second derivative of -11*m**6/15 - 54*m**5/5 + 10*m**4/3 + 1698*m - 1. Determine i so that o(i) = 0.
-10, 0, 2/11
Determine q so that -516*q - 392/3*q**2 + 560/3 - 4*q**3 = 0.
-28, -5, 1/3
Factor 12346 + 3*u**3 + 243*u + 246*u**2 - 6174 - 6172.
3*u*(u + 1)*(u + 81)
Let r(l) = -9*l**3 - l. Let f be r(-1). Let j be f + (8/(-4) - 2). Factor 9*c - 11*c - 3*c**3 - 3*c**3 + 2*c**4 + j*c**2.
2*c*(c - 1)**3
Let z = -3000 - -3048. Let l(b) be the second derivative of 0 + 7/18*b**3 + 1/9*b**4 + z*b - 1/3*b**2. Factor l(h).
(h + 2)*(4*h - 1)/3
Let a(q) = -3645030*q**2 + 372195*q - 9549. Let k(m) = -165683*m**2 + 16918*m - 434. Let t(v) = 2*a(v) - 45*k(v). Factor t(b).
3*(235*b - 12)**2
Let l(v) be the first derivative of v**7/735 - v**6/70 + 3*v**5/70 - v**4/21 - 22*v**2 - 43. Let q(x) be the second derivative of l(x). Factor q(b).
2*b*(b - 4)*(b - 1)**2/7
Suppose -24*q**2 + 189*q + 3/4*q**3 + 0 = 0. Calculate q.
0, 14, 18
Let l(o) be the third derivative of -25/4*o**4 + 23 + 2*o**2 - 160/3*o**3 + 0*o + 1/12*o**5. Factor l(n).
5*(n - 32)*(n + 2)
Let j(m) be the third derivative of 0*m - 1/54*m**4 + 1/270*m**5 + 0 - 213*m**2 - 1/9*m**3. Solve j(l) = 0 for l.
-1, 3
Let h(v) be the second derivative of v**