**5 + 22/7*y**3 = 0 for y.
-2/3, 0, 1
Let j = -154 + 4160/27. Let v(s) be the third derivative of 5*s**2 + 2/135*s**5 + 1/540*s**6 + 0 + 5/108*s**4 + 0*s + j*s**3. Find w, given that v(w) = 0.
-2, -1
Let o(w) be the first derivative of -w**6/21 + 12*w**5/7 - 157*w**4/14 - 680*w**3/7 - 1156*w**2/7 - 615. Find x, given that o(x) = 0.
-2, 0, 17
Let s(u) be the second derivative of 1/84*u**7 - 2 - 1/3*u**3 + 13*u + 3/40*u**5 - 1/15*u**6 + 1/6*u**4 + 0*u**2. Find r such that s(r) = 0.
-1, 0, 1, 2
Suppose -13*h = -14*h + 9. What is a in 12*a - h*a - 6*a - 3*a**2 + 6*a**3 = 0?
-1/2, 0, 1
Let f be 5880/(-270) + 10 + 12. Solve 0 - f*i**2 + 2/9*i**3 - 4/9*i = 0 for i.
-1, 0, 2
Let c(a) = a**3 + 11*a**2 + 5*a + 12. Let m be c(-9). Determine s, given that -1 - 128*s**2 + m*s**2 + 0 = 0.
-1, 1
Factor -12/7*c - 2/7*c**2 - 10/7.
-2*(c + 1)*(c + 5)/7
Solve 5*j**2 - 17 + 49 + 13*j + 13 + 17*j = 0.
-3
Let o be (-6)/12*(-50)/75. Suppose -2/3*i + 0 + 2/3*i**3 + o*i**2 - 1/3*i**4 = 0. Calculate i.
-1, 0, 1, 2
Let t(u) be the first derivative of -u**5/80 - u**4/8 - 3*u**3/8 + 5*u**2/2 - 16. Let f(v) be the second derivative of t(v). Factor f(p).
-3*(p + 1)*(p + 3)/4
Let g(w) be the first derivative of -10*w - 1/8*w**2 + 1/160*w**5 + 7 + 5/48*w**3 - 1/24*w**4. Let n(a) be the first derivative of g(a). Factor n(k).
(k - 2)*(k - 1)**2/8
Let b = 46126/5 + -9151. Let j = b - 74. Factor j*p**5 + 0 + 1/5*p - 2/5*p**3 + 0*p**4 + 0*p**2.
p*(p - 1)**2*(p + 1)**2/5
Suppose 18*v + 3*f - 3 = 15*v, 4 = 3*v + 4*f. Suppose -4/3*o**4 + v + 4*o**3 + 4/3*o - 4*o**2 = 0. What is o?
0, 1
Suppose -1369/4 - 1/4*x**2 - 37/2*x = 0. What is x?
-37
Let s(q) be the second derivative of -7*q**5/20 - 47*q**4/12 + 7*q**3/3 - 35*q + 1. Factor s(z).
-z*(z + 7)*(7*z - 2)
Find v such that -39/2*v - 9 + 7/2*v**2 = 0.
-3/7, 6
Let o = 1/53 - -1693/159. Let k(x) be the first derivative of -24*x**2 + 18*x - 1 + o*x**3. Let k(i) = 0. Calculate i.
3/4
Suppose -k + t = -1, -3*t + 6*t + 1 = 2*k. Let w(m) be the first derivative of -2*m + 0*m**4 + 6 - 2/5*m**5 + 4/3*m**3 + 0*m**k. What is o in w(o) = 0?
-1, 1
Suppose -5*s - 10 = -2*q, 4*q - 13 = 3*s - 7. Factor -2/7*z**3 - 8/7*z**4 + q*z + 0 + 0*z**2.
-2*z**3*(4*z + 1)/7
Suppose -p - 1 = -4. Let i(h) = -74*h - 5399. Let t be i(-73). Let t*g + 3/4*g**2 - 3 - 3/4*g**p = 0. Calculate g.
-2, 1, 2
Let t = -583 + 6429/11. Find u such that t + 12/11*u**2 + 24/11*u + 2/11*u**3 = 0.
-2
Let h(d) be the second derivative of -d**6/720 + d**5/10 - 3*d**4 - 3*d**3/2 - 11*d. Let n(u) be the second derivative of h(u). Let n(i) = 0. Calculate i.
12
Let a(b) be the second derivative of 16*b**7/105 + 24*b**6/25 - 3*b**5/10 - 154*b**4/15 - 49*b**3/5 - 18*b**2/5 - 62*b. Solve a(u) = 0.
-3, -1/4, 2
Let z(v) = v - 3. Let d be z(5). Let y(l) be the first derivative of d - 10/7*l**3 + 9/35*l**5 - 9/2*l**2 - 1/14*l**6 + 9/14*l**4 - 27/7*l. Factor y(f).
-3*(f - 3)**2*(f + 1)**3/7
Let b(n) be the second derivative of -n**6/45 + n**5/6 + 13*n**4/18 + 7*n**3/9 + 3*n. Solve b(c) = 0 for c.
-1, 0, 7
Let l(o) = 10*o**2 - 420*o - 22068. Let f(g) = 28*g**2 - 1260*g - 66201. Let p(t) = -6*f(t) + 17*l(t). Solve p(z) = 0.
-105
Let f(q) be the third derivative of -16*q**7/105 + q**6/6 + q**5/5 + q**2 - 118. Solve f(x) = 0.
-3/8, 0, 1
Let -28*s**3 - 1 + 3*s**2 + 1 - 10 + 13*s - s**4 + 23*s**3 = 0. Calculate s.
-5, -2, 1
Let b(o) be the first derivative of 0*o**2 - 1/84*o**4 - 1/1260*o**6 - 2 + 0*o + 2/3*o**3 + 1/210*o**5. Let d(z) be the third derivative of b(z). Factor d(t).
-2*(t - 1)**2/7
Find u such that -320/9*u - 16*u**2 - 28/9*u**3 - 2/9*u**4 - 256/9 = 0.
-4, -2
Factor 2/9*v**2 - 16/9*v - 22/3.
2*(v - 11)*(v + 3)/9
Let d = -1099 + 1103. Let g(k) be the first derivative of 4/7*k + 6 + 5/7*k**2 + 1/14*k**d + 8/21*k**3. Let g(z) = 0. What is z?
-2, -1
Suppose -5*k**3 + 10*k - 20*k**2 + 20*k**4 + 0*k**3 - 5*k = 0. Calculate k.
-1, 0, 1/4, 1
Let v(q) = q**3 + q**2 + 3*q + 40. Let g be v(0). Suppose -31*t - 27 = -g*t. Factor 0 + 8/3*d - 8/3*d**2 + 2/3*d**t.
2*d*(d - 2)**2/3
Suppose -i + 3*k = -0*i + 9, 0 = -2*k + 6. Determine h, given that 0*h**2 + 2/7*h**3 + 0 + 2/7*h**4 + i*h = 0.
-1, 0
Let h = -11/171 + 35/19. Let x(u) be the first derivative of -8/27*u**3 - h*u**4 - 49/27*u**6 + 0*u + 0*u**2 + 7 - 154/45*u**5. Factor x(p).
-2*p**2*(p + 1)*(7*p + 2)**2/9
Suppose w = -3*f + 5, -6*f + 6 = 2*w - 4*f. Let s(z) be the second derivative of 3/80*z**5 + 0*z**4 + 0 + 0*z**w - 1/8*z**3 - 7*z. Factor s(p).
3*p*(p - 1)*(p + 1)/4
Factor -5/2 - 11/4*h - 1/4*h**2.
-(h + 1)*(h + 10)/4
Let q(z) = -10*z**4 - 35*z**3 - 5*z**2 - 5*z - 5. Let k(m) = 9*m**4 + 34*m**3 + 4*m**2 + 4*m + 4. Let u(o) = 5*k(o) + 4*q(o). Factor u(v).
5*v**3*(v + 6)
Let h be (-1*(-4)/16)/((-350)/(-400)). Find j such that 0*j**4 + 0 + 0*j + 2/7*j**3 + 0*j**2 - h*j**5 = 0.
-1, 0, 1
Let h(l) = 3*l**3 + 114*l**2 + 14*l - 7. Let y(k) = 2*k**3 + 56*k**2 + 6*k - 3. Let r(f) = -3*h(f) + 7*y(f). Factor r(b).
5*b**2*(b + 10)
Let r(f) be the third derivative of -f**5/18 + 13*f**4/108 + 2*f**3/27 - 37*f**2. Suppose r(n) = 0. What is n?
-2/15, 1
Let c = 253 - 248. Suppose p - 1 = 2. Find n such that 0*n**p + 0*n**2 + 2/11*n**4 + 0*n - 2/11*n**c + 0 = 0.
0, 1
Suppose -4*z - 10 = -3*v - 34, -2*v + z - 16 = 0. Let w = v - -11. Factor -4*j**4 + w*j**4 - 3*j**4 + 6*j**4 + 4*j**3 - 4*j - 2*j**2.
2*j*(j - 1)*(j + 1)*(j + 2)
Solve 95 + 25 + 34*d**2 + 222*d**4 - 156*d - 880*d**2 - 357*d**3 + 63*d**5 + 54*d**4 = 0 for d.
-5, -1, -2/3, 2/7, 2
Determine g so that 12*g - 30*g**4 + 141*g**3 - 177*g**4 - 381*g**3 - 10*g**2 - 11*g**2 = 0.
-1, -1/3, 0, 4/23
Let t(p) = -13*p**4 - 48*p**3 - 67*p**2 - 5*p - 5. Let o(m) = 7*m**4 + 24*m**3 + 33*m**2 + 3*m + 3. Let f(n) = 5*o(n) + 3*t(n). Factor f(g).
-4*g**2*(g + 3)**2
Let x = 18336 + -18334. Solve 1/9*a**x - 4/9*a + 1/3 = 0.
1, 3
Let n(r) be the first derivative of -r**5/130 + r**4/39 + r**3/13 + 44*r + 26. Let a(x) be the first derivative of n(x). Factor a(h).
-2*h*(h - 3)*(h + 1)/13
Let y(b) = -1101*b + b**2 + 1 + 1101*b. Let l(s) = 2*s**3 - 4*s**2 - 4*s - 6. Suppose 0 = -3*q + 2*q + 6. Let u(h) = q*y(h) + l(h). Factor u(t).
2*t*(t - 1)*(t + 2)
Let s(f) be the second derivative of -f**7/21 - f**6/5 - 3*f**5/10 - f**4/6 + 73*f. Factor s(r).
-2*r**2*(r + 1)**3
Let m = -84/17 + 471/85. Factor -9/5 - 12/5*k - m*k**2.
-3*(k + 1)*(k + 3)/5
Let m(o) be the second derivative of -o**8/560 + o**7/280 + o**6/120 - o**5/40 - 7*o**3/6 - 3*o. Let y(b) be the second derivative of m(b). Factor y(w).
-3*w*(w - 1)**2*(w + 1)
Determine g, given that 4225 - 12*g + 45*g + 67*g + 30*g + g**2 = 0.
-65
Let r(t) be the second derivative of 0*t**2 + 1/300*t**5 + 0 - 1/90*t**4 - 1/2700*t**6 - 7/6*t**3 + 3*t. Let u(y) be the second derivative of r(y). Factor u(n).
-2*(n - 2)*(n - 1)/15
Solve 4*b + 0 + 2/3*b**2 = 0.
-6, 0
Let p be ((-2)/(-150))/(-3 - 69/(-15)). Let m(n) be the third derivative of 0 + 1/6*n**3 - 1/48*n**4 - p*n**5 - 5*n**2 + 0*n. Find x, given that m(x) = 0.
-2, 1
Let y = -135 + 137. Let g(h) be the first derivative of -2/21*h**3 - 4 + 1/21*h**6 + 0*h**y - 6/35*h**5 + 0*h + 3/14*h**4. Find v such that g(v) = 0.
0, 1
Let y(u) = 5*u**3 + u**2 + 10*u - 10. Let q(w) = -4*w**3 - 7*w + 9. Let t(l) = 6*q(l) + 5*y(l). Solve t(x) = 0 for x.
-2, -1
Let q(x) = 4*x**4 - 105*x**3 + 203*x**2 + 6. Let p(u) = 20*u**4 - 524*u**3 + 1016*u**2 + 32. Let v(h) = -3*p(h) + 16*q(h). Determine n, given that v(n) = 0.
0, 2, 25
Let w(m) = 9*m**2 - 7*m - 30. Let i(c) = -4*c**2 + 3*c + 14. Let y(g) = -5*i(g) - 2*w(g). Determine l, given that y(l) = 0.
-2, 5/2
Let x be (-2)/7 - 10/(-35). Let h(c) be the first derivative of -4*c**2 - c**2 + 5 + 3*c**2 + x*c**2 - 4*c**3 + 8*c. Find q, given that h(q) = 0.
-1, 2/3
Let t = 33804 + -439444/13. Factor -t*f**2 - 56/13*f - 32/13 + 6/13*f**3.
2*(f - 4)*(f + 2)*(3*f + 2)/13
Let b(w) be the third derivative of -w**5/300 + 11*w**4/120 - 3*w**3/5 + 251*w**2. Factor b(r).
-(r - 9)*(r - 2)/5
Suppose -8*q + 18*q - 6*q - 12*q**2 - 15*q - q**3 = 0. What is q?
-11, -1, 0
Factor -8*w**4 - 68*w**3 + 22*w**4 + 21*w**4 - 34 + 66*w + 2*w**5 - 2*w**2 - 5*w**4 + 6*w**2.
2*(w - 1)**3*(w + 1)*(w + 17)
Let x(v) be the first derivative of v**4/2 - 8*v**3/3 - 5*v**2 + 13. Factor x(m).
2*m*(m - 5)*(m + 1)
Let q = -27 - -30. Suppose 4 = -h +