0 for p.
-2, -1, -2/7
Let i(y) = -24*y**3 + 480*y**2 - 25990*y - 26450. Let n(l) = -13*l**3 + 241*l**2 - 12995*l - 13225. Let b(a) = -6*i(a) + 11*n(a). Find d such that b(d) = 0.
-1, 115
Let t = -48 - -96. Determine k, given that -4*k**2 - t*k + 43*k - k**2 = 0.
-1, 0
Let v = 27244 + -27242. What is k in 1/10*k**v + 0*k + 1/10*k**4 + 0 - 1/5*k**3 = 0?
0, 1
Suppose 12 = -3*o, -2*j = -4*j + 3*o + 16. Let z be (136/120 + -1)*(21 + -1). Factor -2/3*p**j + 0*p + z.
-2*(p - 2)*(p + 2)/3
Let j(n) be the first derivative of -20*n**3/3 + 15*n**2/2 + 5*n + 69. Factor j(d).
-5*(d - 1)*(4*d + 1)
Let r(o) be the second derivative of o**6/5 - 7*o**5/10 + 5*o**4/6 - o**3/3 - o - 13. Factor r(f).
2*f*(f - 1)**2*(3*f - 1)
Let a(r) = -5*r - 53. Let u be a(-11). Determine y, given that 1 + 4*y**u - 7 + 16 + y**2 - 15*y = 0.
1, 2
Let z(n) be the second derivative of -n**6/10 + 39*n**5/20 - 57*n**4/4 + 95*n**3/2 - 75*n**2 + 113*n. Factor z(p).
-3*(p - 5)**2*(p - 2)*(p - 1)
Let y(f) be the second derivative of 5*f**7/42 - 11*f**5/4 - 15*f**4/2 - 20*f**3/3 + 416*f. Find r, given that y(r) = 0.
-2, -1, 0, 4
Factor 0*w**3 + 4/7*w**5 + 0 + 0*w**2 + 4/7*w**4 + 0*w.
4*w**4*(w + 1)/7
Let w = 13113 - 13111. Suppose -3/2*a**w + 0*a + 3/4 + 3/4*a**4 + 0*a**3 = 0. Calculate a.
-1, 1
Factor 4*v**4 - 6*v**4 - 120203*v + 120219*v + 30*v**2 + 12*v**3.
-2*v*(v - 8)*(v + 1)**2
Solve -10*c - 1/5*c**4 - c**2 + 8/5*c**3 + 0 = 0.
-2, 0, 5
Let r be (34/(-132))/(11/(99/(-6))). Let i = r - 1/44. Factor -2/11 + i*j - 2/11*j**2.
-2*(j - 1)**2/11
Let o = 6244 - 6240. Factor -144/7 - 1996/7*h**2 + 570/7*h**3 + 250/7*h**5 + 984/7*h + 1200/7*h**o.
2*(h + 3)**2*(5*h - 2)**3/7
Let k(a) = a + 6. Let h be k(-4). Let -h*q**5 - 2*q**5 - 23*q**3 + q**3 + 16*q**4 + 8*q**2 + 2*q**3 = 0. Calculate q.
0, 1, 2
Solve 0*f + 1/12*f**3 - 1/4*f**2 + 0 = 0 for f.
0, 3
Let c(x) = -10*x**2 - 20*x + 10. Let u(v) = -9*v**2 - 19*v + 8. Let z(w) = 4*c(w) - 5*u(w). Factor z(d).
5*d*(d + 3)
Suppose 3*w = -4*c, -w + 2 = -2*w - 2*c. Suppose 0 = -w*r + 18 - 2. What is v in -34 - 345*v**2 - 16 - 25*v**r + 179*v + 185*v**3 + 56*v = 0?
2/5, 1, 5
Let g(u) = u**3 + 5*u**2 - 2*u - 5. Let s be g(-4). Let a = -13 + s. Factor a*d**2 + 9*d**4 + 55*d + 15*d**3 - 55*d.
3*d**2*(d + 1)*(3*d + 2)
Let y be 1/(-20) - -1*(-40)/(-50). Factor 0 + 3*a + y*a**2.
3*a*(a + 4)/4
Let q = -149/3 - -748/15. Let a(j) be the first derivative of 0*j**2 + 1/2*j**4 - q*j**5 + 0*j**3 + 0*j + 2. Solve a(p) = 0.
0, 2
Let p(o) be the second derivative of 9*o**5/80 + 811*o**4/16 + 54945*o**3/8 + 54675*o**2/8 + 2*o - 4. Factor p(d).
3*(d + 135)**2*(3*d + 1)/4
Let k(x) be the third derivative of x**7/840 + 7*x**6/96 + 323*x**5/240 + 289*x**4/96 - 37*x**2 + 1. Factor k(s).
s*(s + 1)*(s + 17)**2/4
Factor -3*i**2 + 12 - 12*i - 2*i**3 + 15*i**3 - 10*i**3.
3*(i - 2)*(i - 1)*(i + 2)
Let v(o) be the second derivative of 5*o + 2/33*o**4 + 1/11*o**2 + 1/55*o**5 + 0 + 2/231*o**7 - 4/33*o**3 - 1/33*o**6. Determine q, given that v(q) = 0.
-1, 1/2, 1
Let s(u) = 17*u - 134. Let w be s(8). Let o(l) be the first derivative of -3/2*l**w - 4 + 1/3*l**3 + 2*l. Factor o(t).
(t - 2)*(t - 1)
Let l be (1 - (120/126)/1)*(-1 + 13). Factor -2/7*w**2 + 6/7 + l*w.
-2*(w - 3)*(w + 1)/7
Let b(c) be the third derivative of -c**5/12 - 595*c**4/12 - 70805*c**3/6 + 162*c**2. Solve b(m) = 0.
-119
Let i(b) = -b**3 - 21*b**2 - 10*b + 200. Let n be i(-20). Factor 4*s - 4/3*s**2 + n.
-4*s*(s - 3)/3
Let v be (55/10 - 6)*0. Let r(x) be the second derivative of -x + 1/24*x**4 + 0 - 1/10*x**5 + 1/24*x**3 + v*x**2. Factor r(c).
-c*(2*c - 1)*(4*c + 1)/4
Let d be 14/(-5)*(-6 - -1). Factor q - 5*q - 2*q - 4*q**2 + d*q.
-4*q*(q - 2)
Determine y, given that 2/13*y**5 + 96/13*y + 6/13*y**4 - 42/13*y**3 + 72/13 - 22/13*y**2 = 0.
-6, -1, 2, 3
Let d(p) = -5*p**4 - 3*p + 4*p + 4*p**4 + 1. Let j(g) = 9*g**4 + 3*g**3 + 3*g**2 - 15*g - 12. Let q(l) = -12*d(l) - j(l). Factor q(y).
3*y*(y - 1)**2*(y + 1)
Let d be ((-1300)/(-30))/10 + 1/(-3). Suppose -q + 8 = 4*y, y = -d*q - 2*y + 6. Factor 0*g + 0*g**2 + 1/8*g**5 - 1/8*g**4 + 0*g**3 + q.
g**4*(g - 1)/8
Let r(f) be the first derivative of -5/4*f**4 - 3 + 5/3*f**3 + 0*f + 0*f**2. What is n in r(n) = 0?
0, 1
Let d be 3/(-27)*((-432)/(-20))/(-18). Factor 4/15*m**2 + d*m + 0 + 2/15*m**3.
2*m*(m + 1)**2/15
Determine u so that 0*u**4 - 3*u**4 - 4*u - 8*u + 24 + 151*u**2 + 15*u**3 - 169*u**2 = 0.
-1, 2
Let s(b) = 2*b**3 - 18*b**2 - 52*b + 91. Let a be s(11). Factor 2/3*i**a - 10/3*i**2 - 8/3 + 16/3*i.
2*(i - 2)**2*(i - 1)/3
Let l(t) = -t**3 - 10*t**2 - 9*t + 4. Let o be l(-9). Let d be (o*1)/((-20)/(-15)). Factor -23*v**d - 2*v**2 + 13*v**3 + 6*v**3 - 6*v**2.
-4*v**2*(v + 2)
Let u(j) be the third derivative of j**5/330 + 37*j**4/33 + 5476*j**3/33 - 561*j**2. Factor u(o).
2*(o + 74)**2/11
Let m(j) be the third derivative of -j**6/120 + j**5/60 + j**4/24 - j**3/6 + 72*j**2. Suppose m(o) = 0. Calculate o.
-1, 1
Suppose 40 = 6723*v - 6715*v. Determine z, given that -45/7*z**3 + 27/7*z**2 - 6/7*z + 0 + 33/7*z**4 - 9/7*z**v = 0.
0, 2/3, 1
Suppose -m - 1 = 0, 3*z - 68 = 4*m - 5*m. Suppose -24*g = -z*g - 2. Suppose 0 + 2/11*j**g - 2/11*j = 0. What is j?
0, 1
Let w = -1455 + 4375/3. Factor -1 - p**2 + w*p.
-(p - 3)*(3*p - 1)/3
Let y(m) = -m**2 - 14*m + 34. Let c be y(-16). Factor -2*l**4 + 0*l**5 - 8*l**5 + c*l**3 + 4*l**5 + 0*l**4.
-2*l**3*(l + 1)*(2*l - 1)
Let u(z) be the first derivative of 1/46*z**4 - 28 - 1/23*z**2 + 0*z**3 + 0*z. Suppose u(a) = 0. What is a?
-1, 0, 1
Factor -7/4*r**2 - 13/4*r + 1/2.
-(r + 2)*(7*r - 1)/4
Let n(y) be the third derivative of -y**8/84 + y**6/15 - y**4/6 - 583*y**2. Find q, given that n(q) = 0.
-1, 0, 1
Let i(p) = -p**3 - 4*p**2 - 10*p - 132. Let g be i(-6). Solve -52/3*v**3 + 50/3*v**5 + 8*v**2 + g + 6*v - 40/3*v**4 = 0.
-3/5, 0, 1
Let k = 5915/3 + -1971. Let w = 4 - 2. Determine r, given that 0*r + 0 + 4/3*r**w - k*r**3 = 0.
0, 2
Find q, given that -75*q + 2*q**2 + 3*q**2 - 3*q**2 - 15*q - 6*q + 270 = 0.
3, 45
Let g = -18660 + 93327/5. Determine t so that g + 588/5*t**2 - 252/5*t = 0.
3/14
Let a = 458 - 455. Let q be (-4)/18 + 11/9. Factor -q - 4*x**4 + x + 5 - 8*x**a + 7*x + 0.
-4*(x - 1)*(x + 1)**3
Suppose l = 4*l - 12, -5*c = -2*l - 27. Let t(v) be the first derivative of -7 + v**4 + 7*v**2 - c*v - 5*v**3 + 3*v - v**2 + v**3. Factor t(n).
4*(n - 1)**3
Let o(u) = -17*u**2 + 31*u**3 - 5*u - 33*u**3 + 3*u + 11*u. Let r(d) = 3*d**3 + 26*d**2 - 13*d. Let a(x) = 8*o(x) + 5*r(x). Factor a(g).
-g*(g - 1)*(g + 7)
Let i = -14823 + 59319/4. Factor -33/2*t**2 - 3/4*t**4 - 6*t**3 - 18*t - i.
-3*(t + 1)**2*(t + 3)**2/4
Let a = -1296 + 1300. Let o(y) be the second derivative of 0 - 1/42*y**a - 2/21*y**3 - 2*y + 0*y**2. What is t in o(t) = 0?
-2, 0
Let q(l) = l - 4. Let g be q(7). Let b(r) = r. Let n be b(g). Factor -19*t + 16*t + t**3 + 0*t**n - 2.
(t - 2)*(t + 1)**2
Factor -4/3 - 644*z - 77763*z**2.
-(483*z + 2)**2/3
Let r = -5657/6 - -943. Factor -1/3*n**3 + 1/6 + 1/6*n - 1/3*n**2 + r*n**5 + 1/6*n**4.
(n - 1)**2*(n + 1)**3/6
Find u such that 2/7*u**2 + 12/7*u + 16/7 = 0.
-4, -2
Let b(s) be the first derivative of -8/21*s**3 - 4/7*s - 9/7*s**2 - 27. Suppose b(j) = 0. Calculate j.
-2, -1/4
Let p(n) be the first derivative of 2*n**3/3 + n**2 - 24*n + 8. Find i, given that p(i) = 0.
-4, 3
Let f(w) be the second derivative of w**7/189 - 2*w**6/135 - 4*w**5/45 - w**4/27 + 7*w**3/27 + 4*w**2/9 - 570*w. Factor f(c).
2*(c - 4)*(c - 1)*(c + 1)**3/9
Let a(n) = -n**3 - 190*n**2 - 398*n - 4133. Let x be a(-188). Determine d so that -372/5*d**4 + 0*d + 108/5*d**5 + 452/5*d**x - 204/5*d**2 + 16/5 = 0.
-2/9, 2/3, 1
Factor 5618/7 + 212/7*h + 2/7*h**2.
2*(h + 53)**2/7
Suppose -3*d - 9 = 0, -4*q - 5*d + 7 - 2 = 0. Let p(t) be the first derivative of -5/3*t**3 + 9 - 5/4*t**4 + q*t + 5/2*t**2. Determine z, given that p(z) = 0.
-1, 1
Let z = -1 + 15. Let b = -11 + z. Suppose 0*o**4 + o**2 - 5*o**2 + 2*o**b + 2*o**4 - 4*o**3 = 0. Calculate o.
-1, 0, 2
Let i(l) be the first derivative of 1/6*l**3 - 1/4*l**2 + 19 + 0*l. Factor i(j).
j*(j - 1)/2
Let f(r) be the first derivative of 3*r**5/5 + 87*r**4/4 + 249*r**3 + 1677*r**2/2 + 1014*r + 187. What is i in f(i) = 0?
-13, -2, -1
Let b(i) be the first derivative of i**5/20 - 3*i**4/8 + 14. Factor b(u).
u**3*(u - 6)/4
Factor -94/3*m - 