). What is p in u(p) = 0?
-2, -1
Suppose -j - 6 = 5*w + 7, w + 2 = 0. Let h(s) = -15*s - 45. Let n be h(j). Factor -v**2 + 1/3*v**4 + n*v**3 + 0 - 2/3*v.
v*(v - 2)*(v + 1)**2/3
Let k = 493/354 + -7/118. Factor -4/3*g**2 + k*g**4 + 0 - 8/3*g**3 + 8/3*g.
4*g*(g - 2)*(g - 1)*(g + 1)/3
What is j in 607/5*j**2 + 140 - 11/5*j**4 - 272*j + 13*j**3 - 1/5*j**5 = 0?
-10, 1, 7
Let j(o) be the second derivative of 11*o**5/600 + 13*o**4/240 + o**3/30 + 17*o**2/2 - 8*o. Let h(k) be the first derivative of j(k). Factor h(r).
(r + 1)*(11*r + 2)/10
Let y = 9968/27291 + -4/2481. Factor 2/11*i**3 + 0 - y*i - 2/11*i**2.
2*i*(i - 2)*(i + 1)/11
Let l(s) = -s**2 + 11*s - 4. Let f be l(10). Suppose 3*t + 0*t - f = 0. Solve -v**3 + v**2 + 3*v**3 + v**t = 0 for v.
-1, 0
Let p = 63/2 - 435/14. Solve -9/7*v + 12/7 - p*v**2 = 0 for v.
-4, 1
Let z(i) = 10*i**3 + 45*i**2 - 360*i - 575. Let b(p) = -p**3 - 5*p**2 + 40*p + 64. Let x(c) = 35*b(c) + 4*z(c). Factor x(a).
5*(a - 3)*(a + 2)**2
Let h(l) = 3*l - 14. Let a be h(6). Let s(r) be the first derivative of r**2 + 5 - 4*r**4 + 5*r**4 - a*r**3 + 6*r**3 + 0*r**2. Factor s(c).
2*c*(c + 1)*(2*c + 1)
Determine h, given that -212*h + 399*h**2 + 91 + 45 - 387*h**2 = 0.
2/3, 17
Factor 0 + 4/3*f - 14/3*f**3 + 10/3*f**2.
-2*f*(f - 1)*(7*f + 2)/3
Suppose 17 + 19 + c**2 + 36*c - 4 + 3*c**2 = 0. What is c?
-8, -1
Let m be 9/45 + 7 + -7. Find h, given that m*h + 1/5 - 1/5*h**3 - 1/5*h**2 = 0.
-1, 1
Suppose -2*w - 2*m + 62 = 0, 4*w + w = 5*m + 125. Let p be 104/14 - w/7. Determine l, given that -2*l**3 + 4/7 - 6/7*l - p*l**2 = 0.
-1, 2/7
Let f be (-6 - (-15 - -5)) + -2 + 1. Let t(k) be the second derivative of -7*k + 1/3*k**4 + 0 + 4/3*k**f + 0*k**2. Let t(n) = 0. What is n?
-2, 0
Suppose -13*g = -8*g. Let c(p) be the first derivative of -1/2*p**2 + 1 + 1/10*p**5 - 1/2*p**3 + g*p + 0*p**4. Determine o so that c(o) = 0.
-1, 0, 2
Suppose 3*t - 5*y = 5, -4*t + t + 1 = -y. Let j be 15/20 + (-1)/2. Factor 1/4*c**5 - 3/4*c**3 - 1/2*c + t + j*c**4 - 5/4*c**2.
c*(c - 2)*(c + 1)**3/4
Let c be ((-4)/(-10))/(6/45). Let -28 - 2*o**2 + o**5 + c*o**4 + 27 + 2*o**3 - 3*o + 0*o**5 = 0. What is o?
-1, 1
Let k be (51/7 - 82/287) + -3. Find m, given that 3/4*m**3 - 1/4*m**5 - 1/4*m**2 + 1/4*m**k - 1/2*m + 0 = 0.
-1, 0, 1, 2
Let f = 116 + -1153/10. Let y(o) be the second derivative of -49/45*o**6 + 0 + 0*o**2 + 8*o + 4/3*o**4 - 4/9*o**3 - f*o**5. Solve y(k) = 0.
-1, 0, 2/7
Let u = -2147/3 + 717. Factor 0*t - u*t**2 + 0 - 14/3*t**3.
-2*t**2*(7*t + 2)/3
Let b(r) be the first derivative of r**4/14 - 9*r**2/7 + 20. Solve b(l) = 0 for l.
-3, 0, 3
Let f(r) = 6*r**2 + 24*r - 5. Let y(s) = -5*s**2 - 24*s + 4. Let k(g) = -4*f(g) - 5*y(g). Determine o so that k(o) = 0.
-24, 0
Let b(h) = -h**3 - 12*h**2 - 9*h + 25. Let k be b(-11). Factor 11*n**3 - 17*n**3 - 6*n**2 + k*n**2 - 3*n**4.
-3*n**2*(n + 1)**2
Let p(g) be the third derivative of 0*g - 1/36*g**4 - 1/450*g**5 + 0 + 42*g**2 - 2/15*g**3. Factor p(b).
-2*(b + 2)*(b + 3)/15
Suppose -3*j = -o - 5, -7*j = -3*j - 3*o - 15. Let k(m) be the second derivative of -1/2*m**3 + 6*m + j + 0*m**2 + 1/4*m**4. Suppose k(v) = 0. Calculate v.
0, 1
Let o be (-18)/(-12)*-4 + 12. Determine a, given that -o*a + 0 - 3/2*a**3 + 6*a**2 = 0.
0, 2
Let r(m) be the third derivative of 13/100*m**5 - 22*m**2 - 3/200*m**6 + 0 - m + 3/10*m**3 - 13/40*m**4. Solve r(c) = 0 for c.
1/3, 1, 3
Suppose -1 = 2*b + 5*n, 9*b = 4*b - 2*n + 8. Suppose -3*f**b - 48 + 17*f - 22*f - 19*f = 0. Calculate f.
-4
Let b(h) be the first derivative of -4/3*h**3 + 6*h + 7 + 4*h**2 - 2/5*h**5 - 2*h**4. Determine y, given that b(y) = 0.
-3, -1, 1
Suppose -4*k - 5*u = -46, 5*u + 26 = k + 3*k. Let t be 0 + (3 - (1 + 15/k)). Factor 0 + 2/3*a**2 + t*a.
a*(2*a + 1)/3
Let a(r) = 2*r**3 - 23*r**2 + 54*r + 18. Let l be a(8). Factor 2*z + 3 + 1/3*z**l.
(z + 3)**2/3
Let q(o) = -252*o - 1488. Let p be q(-6). Factor -p - 3/2*u**2 + 12*u.
-3*(u - 4)**2/2
Factor -10*n**2 - 26*n**3 - 31*n**3 + 6*n**4 - n**4 + 5 + 57*n**3.
5*(n - 1)**2*(n + 1)**2
Let y be ((-180)/(-648))/((-35)/(-3)). Let h(n) be the second derivative of 3*n + 0 - 1/7*n**2 + y*n**4 - 1/70*n**5 + 1/21*n**3. Factor h(i).
-2*(i - 1)**2*(i + 1)/7
Let k be 65 + (-1 - 1)*2. Suppose -66*w + 20 = -k*w. Solve 1/3*j**2 + 0 - 1/3*j**5 + 1/3*j**3 + 0*j - 1/3*j**w = 0 for j.
-1, 0, 1
Factor -15678*b**4 + 15677*b**4 - 12*b**2 + 10*b**3 - 13*b**2.
-b**2*(b - 5)**2
Suppose -13 + 53 = 5*d. Determine g so that -60*g + d + 0*g**2 - 35*g**2 + 12 = 0.
-2, 2/7
Suppose 4*j = 2*b - 10, -2*j = -3*b + 7 + 8. Let g(z) be the second derivative of -1/5*z**2 + j - 9*z - 1/60*z**4 - 1/10*z**3. Let g(n) = 0. Calculate n.
-2, -1
Find m, given that 2/7*m**2 - 4/7*m**4 + 4/7*m**3 - 5/7*m + 2/7 + 1/7*m**5 = 0.
-1, 1, 2
Let y be 21/(-216) - 72/(-648). Let s(c) be the third derivative of 1/9*c**3 + 0*c + y*c**4 - 5*c**2 + 0 - 1/60*c**5. Solve s(b) = 0 for b.
-2/3, 1
Let j be -2*(-12)/8 + 1. Suppose m = -i + 3, 3*i + 0*m = -j*m + 11. Suppose -2 - 3*a**2 - i + 0 - 9*a + 3*a = 0. Calculate a.
-1
Find b, given that 5*b**5 + 146*b**2 - 25*b**4 - 177*b**2 + 0*b**5 + 5*b - 10*b**3 - 25 + 81*b**2 = 0.
-1, 1, 5
Let i = 2/8927 - -35702/26781. Factor -14/3*u**2 + 6*u - i.
-2*(u - 1)*(7*u - 2)/3
Let f(r) be the third derivative of 1/20*r**5 + r**2 + 0*r - 2/5*r**3 + 1/5*r**4 + 0. Factor f(u).
3*(u + 2)*(5*u - 2)/5
Let r(q) be the second derivative of q**8/8960 - q**7/1680 + q**6/960 - 29*q**4/12 - 10*q. Let p(b) be the third derivative of r(b). Factor p(l).
3*l*(l - 1)**2/4
Suppose 0 = -4*o - g + 94, -4*g + 47 - 16 = o. Factor -64*k**4 + 50*k**3 + 4*k - o*k**2 + 46*k**3 - 13*k**2.
-4*k*(k - 1)*(4*k - 1)**2
Let m(q) be the third derivative of q**7/665 - q**6/60 + 13*q**5/190 - 29*q**4/228 + 2*q**3/19 - 6*q**2 + 63. Solve m(u) = 0.
1/3, 1, 2, 3
Let b = -83 - -170. Factor 33*v**2 - b*v**4 + 45*v**4 + 48*v**4 - 12 + 27*v**3.
3*(v + 1)*(v + 2)**2*(2*v - 1)
Let x = 4414/777 + -28/111. Determine n so that 22/7*n**2 + 0 + 20/7*n**4 - x*n**3 - 4/7*n = 0.
0, 2/5, 1/2, 1
Let s(l) = 6*l**4 - 9*l**2 - 3*l. Let b(q) = -7*q**4 + 10*q**2 + 4*q + 1. Suppose 0 = 5*h - 15 + 35. Let x(n) = h*s(n) - 3*b(n). Factor x(u).
-3*(u - 1)**2*(u + 1)**2
Let g(m) be the second derivative of m**5/20 - 11*m**4/3 + 437*m**3/6 + 529*m**2 - m - 56. Factor g(x).
(x - 23)**2*(x + 2)
Let v(u) be the first derivative of -1/24*u**4 - 23 - 1/4*u**2 + 1/30*u**5 + 0*u - 5/18*u**3. Let v(g) = 0. Calculate g.
-1, 0, 3
Suppose 20*v - 15*v - 120 = 0. Solve 36*z**4 - 44*z**4 - 34*z**2 + v*z**3 + z**5 - 6 + 2*z + 21*z = 0.
1, 2, 3
Let h = 12930/7 - 1846. Solve 0 + 4/7*u**4 + 0*u + h*u**2 + 12/7*u**3 = 0.
-2, -1, 0
Let s(b) be the second derivative of 0*b**2 - 1/3*b**4 - 17*b - 17/80*b**5 + 1/24*b**3 + 0. Factor s(j).
-j*(j + 1)*(17*j - 1)/4
Let a(w) be the first derivative of -21 + 32/3*w**2 + 20/3*w**4 + 16*w**3 + 14/15*w**5 - 32/3*w. Solve a(t) = 0 for t.
-2, 2/7
Let x = -82 + 82. Suppose x = 5*m + 4*h - h - 21, 5*m - 3*h = 9. Factor -2*j**2 - 1 - 1/2*j**m - 5/2*j.
-(j + 1)**2*(j + 2)/2
Let y(h) = 4*h**2 - 4*h - 6. Let b = 7 + -3. Let x(p) be the third derivative of -p**5/60 + 9*p**2. Let i(u) = b*x(u) + 2*y(u). Find c, given that i(c) = 0.
-1, 3
Solve 16*i**2 + 44/3 - 2/3*i**3 - 30*i = 0.
1, 22
Let d(f) = f**3 + f. Let q(w) = -17*w**3 - 5*w**2 + 83*w + 20. Let b be (-2)/8 - 45/(-36). Let u(z) = b*q(z) - 3*d(z). Suppose u(a) = 0. Calculate a.
-2, -1/4, 2
Factor -14*r**2 + 2*r**3 + 144 - 9*r**2 + 29*r**4 - 24*r - 28*r**4.
(r - 3)**2*(r + 4)**2
Let d(w) = 6*w**2 - 12*w + 10. Let q be d(4). Suppose -6 = 56*u - q*u. Factor u*s**2 - 7/3*s - 2/3.
(s - 1)*(9*s + 2)/3
Let k be (6/7)/(18*(-1)/(-378)). Factor 9*q + 39/2*q**2 + k*q**3 + 6*q**4 + 3/2.
3*(q + 1)**2*(2*q + 1)**2/2
Suppose 122*k - 24*k = 0. Let 1/2 - d + d**3 - 1/2*d**4 + k*d**2 = 0. What is d?
-1, 1
Suppose 15 = 3*a + f, -4*f = 4*a - 7*a. Let t = 2/25 - -21/50. Determine n, given that 0 + 1/2*n**3 + t*n**a - n**2 + 0*n = 0.
-2, 0, 1
Let m(x) be the second derivative of x**3/2 + x**2 + 3*x. Let q be m(2). What is g in 2 - 3 - 3 - q*g - 4*g**2 + 0 = 0?
-1
Let b(y) = y**2 + 6*y + 7. Let l be b(-6). Factor -5*p**5 + 19*p**2 + l*p - 5*p**4 + 6*p**2 - 2*p + 5*p + 15*p**3.
-5*p*(p - 2)*(p + 1)**3
Let a(c) be the first derivative of 3/100*c**5 - 1/8*c**4 - 2*c**2 - 1/