**5 + 0*k**3 + 4*k**2 + 0. Determine d so that w(d) = 0.
-2/5, 0, 2
Let f(b) = -2*b**4 + 10*b**3 + 18*b**2 + 23*b + 5. Let i(r) = -r**4 + r**3 + r - 1. Let n(s) = -2*f(s) + 6*i(s). Let n(a) = 0. What is a?
-2, -1
Let k be (-2)/1 - 1/1. Let n(d) = d**4 - 2*d**3 + 13*d**2 - 16*d. Let s(u) = u**3 - 12*u**2 + 15*u - 1. Let h(f) = k*n(f) - 4*s(f). Factor h(g).
-(g - 1)**2*(g + 2)*(3*g - 2)
Suppose 3*j + 3*s - 15 = 0, 2*s = j + 4 + 6. Suppose 4*g = -3*z - 8, 0 = -z - j*g - 2*g - 4. Factor 2/5*o**2 + 0 + z*o.
2*o**2/5
Let p(h) be the third derivative of 1/10*h**5 + 0*h**4 + 2*h**2 - 1/70*h**7 + 0 + 0*h + 0*h**3 - 1/40*h**6. Factor p(l).
-3*l**2*(l - 1)*(l + 2)
Factor -3*x**2 + 113*x**2 + 9*x**3 + 9*x**3 - 33*x**3 + 80*x.
-5*x*(x - 8)*(3*x + 2)
Let x be 3/4*816/918. What is s in -4/9*s**2 + 2/9*s**3 + 0*s + x*s**4 + 0 = 0?
-1, 0, 2/3
Let y(q) = -q**4 - q**3 + q + 1. Let x(w) = -4*w**4 - 9*w**3 - 13*w**2 - 9*w - 1. Let k(i) = 2*x(i) - 6*y(i). Let k(h) = 0. Calculate h.
-2, -1
Let l = -14 + 19. Let j(v) = -11*v**2 - 8. Let i(z) = -7*z**2 - 5. Let b(g) = l*j(g) - 8*i(g). Find f such that b(f) = 0.
0
Let l be (2/3)/((-2)/(-9)). Factor -5 - 5*p**2 + l*p**3 - 4*p**2 + 9*p + 2.
3*(p - 1)**3
Let o(z) = 4*z**5 + 10*z**4 - 6*z**3 + 2*z**2 - 4*z - 6. Let q(p) = -p**5 - p**4 + p**3 - p**2 + p + 1. Let f(y) = o(y) + 6*q(y). Suppose f(s) = 0. What is s?
-1, 0, 1
What is s in -12/7*s - 2/7 - 10/7*s**2 = 0?
-1, -1/5
Let i(x) be the first derivative of -2 + 1/27*x**6 + 0*x - 2/27*x**3 + 1/6*x**4 + 0*x**2 - 2/15*x**5. Factor i(k).
2*k**2*(k - 1)**3/9
Let g(p) = -32 - 34*p**2 - 40*p - 4*p**2 - 6*p**3 - 8*p**3. Let f = 57 + -49. Let n(z) = -5*z**3 - 13*z**2 - 13*z - 11. Let j(x) = f*n(x) - 3*g(x). Factor j(i).
2*(i + 1)*(i + 2)**2
Let b(d) be the third derivative of d**6/180 - d**5/9 + d**4/4 + 24*d**2. Factor b(q).
2*q*(q - 9)*(q - 1)/3
Let l = 71521/120 + -596. Let o(u) be the third derivative of 1/60*u**5 + 0 + 0*u - 3*u**2 + 0*u**3 + 0*u**4 - l*u**6. Factor o(k).
-k**2*(k - 1)
Let r(g) = -g**2 - 10*g + 174. Let z be r(-19). Suppose -4/5*j**5 - 13/5*j**4 - 3*j**z - 1/5*j + 0 - 7/5*j**2 = 0. Calculate j.
-1, -1/4, 0
Let v(n) be the first derivative of n**6/2 - 3*n**5/5 - 9*n**4/4 + 5*n**3 - 3*n**2 - 11. Factor v(a).
3*a*(a - 1)**3*(a + 2)
Let s = 17 - 17. Suppose s = -2*v - 4*c + 4, -4*c - 5 = c. Factor -1/2*i**v + 3/2*i**3 - 3/2*i**2 + 1/2*i + 0.
-i*(i - 1)**3/2
Let p(y) be the third derivative of y**9/5040 - y**8/2100 + y**7/4200 + y**3 - 2*y**2. Let g(w) be the first derivative of p(w). Factor g(n).
n**3*(n - 1)*(3*n - 1)/5
Let r = -1 + 11. Let y be (-28)/(-10) + 2/r. Let 64*k**2 + 39*k**3 - 162*k**4 + 20*k**y + 31*k**3 + 8*k = 0. Calculate k.
-2/9, 0, 1
Let x be (8 - 7)/(1/2). Factor 3*q**2 - 4*q - x*q**4 + 6*q**3 + 0*q**2 - q**4 - 2*q.
-3*q*(q - 2)*(q - 1)*(q + 1)
Let n = 99 - 99. Solve 0 + 0*f**3 + 0*f + 0*f**4 + 1/4*f**5 + n*f**2 = 0 for f.
0
Let r(v) be the second derivative of v**7/168 - v**6/40 + v**5/80 + v**4/16 - v**3/12 - 30*v. Determine f so that r(f) = 0.
-1, 0, 1, 2
Let a = 845/4 + -211. Suppose 0*d - 2*d = -4. Determine v, given that -1/4*v**4 + a*v**d + 1/4*v**3 - 1/4*v + 0 = 0.
-1, 0, 1
Let b(j) be the third derivative of -j**2 + 1/525*j**7 + 1/150*j**5 - 1/150*j**6 + 0*j**3 + 0*j**4 + 0 + 0*j. Factor b(w).
2*w**2*(w - 1)**2/5
Let s = 0 - -5. Determine p so that 2*p**s + p**3 - 4*p - 2 - 2*p + 3*p**3 - 4*p**2 + 6*p**4 = 0.
-1, 1
Let d(a) be the second derivative of -a**4/6 + a**3/3 + 4*a. Factor d(x).
-2*x*(x - 1)
Let l = -2/587 - -9406/4109. Let -8/7 + 38/7*c**2 + l*c + 2*c**3 = 0. Calculate c.
-2, -1, 2/7
Solve 0*u**2 + 0 - 1/4*u**5 + 0*u + 0*u**3 - 1/4*u**4 = 0.
-1, 0
Let z(j) be the second derivative of j**6/180 + j**5/30 + 2*j**3/3 + 2*j. Let y(a) be the second derivative of z(a). Factor y(w).
2*w*(w + 2)
Let g(o) be the second derivative of o - 1/3*o**2 + 1/45*o**6 + 1/15*o**5 - 2/9*o**3 + 0*o**4 + 0. Determine m, given that g(m) = 0.
-1, 1
Let h be (-28)/3*81/(-72). Let w be (-4)/14 - (-60)/14. Solve 41/2*n**3 - 2*n**2 - 2*n + h*n**w + 0 = 0 for n.
-2, -2/7, 0, 1/3
Let m(f) be the first derivative of 0*f + 0*f**2 + 7 - 2/3*f**3. Factor m(u).
-2*u**2
Let x = -5207/84 + 438/7. Let z(u) be the first derivative of 3 + x*u**3 - u + 3/2*u**2. Suppose z(j) = 0. Calculate j.
-2, 2/7
Let s be (10/(-120))/((-17)/(-9) - 2). Find q such that -q + s*q**2 + 1/4 = 0.
1/3, 1
Let j(p) = 3*p**2 + 8*p + 3. Let k be j(-3). Suppose -1 = -2*m + 3. Suppose -2*b - k*b**2 + 0 + 0 + 4*b**m = 0. What is b?
-1, 0
Let b = -6 - -6. Suppose -2*a = 2*g - 18, 21 = 5*a - 0*g - g. Determine o, given that -1/2*o + b - o**4 + 0*o**3 + 1/2*o**a + o**2 = 0.
-1, 0, 1
Let i(o) be the second derivative of -5*o**4/12 + o**3/3 + 2*o. Suppose i(v) = 0. Calculate v.
0, 2/5
Suppose 0 = -5*b - 3*i + 32, -2*i = 5*b - 12 - 16. Suppose b = -0*p + 2*p. Factor 2*a - p*a**2 - 2*a + 2*a.
-2*a*(a - 1)
Suppose 4*p + 43 - 15 = 0. Let i(f) = f**2 + 8*f + 9. Let c be i(p). Let 0 + 3/2*s**c + 3/2*s = 0. Calculate s.
-1, 0
Suppose 0 = 4*m - 12 - 8. Suppose 3*q - m = 7. Solve 2 - 5*w**3 + 2*w**4 - 3 + w**3 - 1 + q*w = 0 for w.
-1, 1
Suppose 3 = 5*m - 4*m. Factor 5*c - 3 + m*c**5 - 5*c - 6*c**3 + 3*c - 3*c**4 + c**2 + 5*c**2.
3*(c - 1)**3*(c + 1)**2
Let v(z) be the third derivative of -7/5*z**5 + 0*z + 1/2*z**4 + 0*z**3 - 2*z**2 + 49/40*z**6 + 0. Solve v(a) = 0 for a.
0, 2/7
Determine w, given that -3*w**2 - 3*w**2 + 3*w**2 + 134 - 48*w - 326 = 0.
-8
Let c = 1 - 0. Factor c + 6*v**2 + 3*v**4 + 4*v - 2*v**4 + 0*v**4 + 4*v**3 + 0.
(v + 1)**4
Suppose 3*b = 6 + 6. Let f be 10/b + (-2)/4. Factor j**f - 3*j + j + j.
j*(j - 1)
Suppose -4*f = -f - 3. Determine k, given that -3*k**2 - f + 2*k**2 + 1 - k**3 = 0.
-1, 0
Suppose -2*o + 2 = 2. Factor 1/5*l**3 - 2/5*l**2 + 1/5*l + o.
l*(l - 1)**2/5
Factor 3/4*q**3 - 5/4*q**2 - 1/4*q**5 + 0 + 1/2*q + 1/4*q**4.
-q*(q - 1)**3*(q + 2)/4
Factor 1/2*k**2 + 2*k + 2.
(k + 2)**2/2
Let a be (-12)/8*(-20)/(-3). Let r = 10 + a. Find v, given that r - 1/3*v + 0*v**2 + 1/3*v**3 = 0.
-1, 0, 1
Let d = 19 + -20. Let k be (4/1)/(-20) - d. Factor 1/5*b**4 + 4/5*b + k*b**3 + 6/5*b**2 + 1/5.
(b + 1)**4/5
Let s(c) be the third derivative of 4*c**2 + 0 + 1/24*c**4 + 1/60*c**5 + 0*c**3 - 1/210*c**7 + 0*c - 1/120*c**6. Determine w, given that s(w) = 0.
-1, 0, 1
Let i(u) be the first derivative of u**6/33 + 4*u**5/55 - 9*u**4/22 - 4*u**3/33 + 8*u**2/11 - 28. Let i(m) = 0. Calculate m.
-4, -1, 0, 1, 2
Let t(v) be the second derivative of -2*v**6/15 + v**4/3 - 39*v. Factor t(b).
-4*b**2*(b - 1)*(b + 1)
Let c(l) be the first derivative of l**5/5 - l**4/4 - l**3/3 + l**2/2 - 5. Factor c(d).
d*(d - 1)**2*(d + 1)
Let -1/5*p**2 - 3 + 8/5*p = 0. Calculate p.
3, 5
Let h be 5/10 + 9/(-2). Let p = h + 7. Solve t**2 - 2*t**3 + t**4 - 2 + 0*t**2 + p*t - t**3 = 0 for t.
-1, 1, 2
Solve 4/5*c**2 - 4/5 + 2/5*c**3 - 2/5*c = 0.
-2, -1, 1
Factor 6 - 6*v + 3/2*v**2.
3*(v - 2)**2/2
Suppose 3*y - 4*y = -2. Factor -6*z - 14*z + 8*z + 8 - y*z**2 - 26.
-2*(z + 3)**2
Let v = 55 + -50. Factor -3/2*u**3 + 0 + 0*u + 1/2*u**2 - 1/2*u**v + 3/2*u**4.
-u**2*(u - 1)**3/2
Determine l so that -2*l**4 + 4/3*l - 4/9*l**3 + 16/9*l**2 + 2/9 - 8/9*l**5 = 0.
-1, -1/4, 1
Let z(j) be the first derivative of 2*j**3/63 - 2*j/21 + 25. Determine m so that z(m) = 0.
-1, 1
Let v(q) = -21*q**4 - 37*q**3 + 17*q**2 + 15*q - 3. Let k(a) = 104*a**4 + 184*a**3 - 84*a**2 - 76*a + 16. Let w(p) = -5*k(p) - 24*v(p). Solve w(j) = 0 for j.
-2, -1, 1/2
Find k such that -2*k**3 - 6 + 7*k**3 - 3*k**3 - 15*k - 5*k**3 - 12*k**2 = 0.
-2, -1
Suppose 186 = -9*c - 12. Let l be (16/(-32))/(c/8). Find n such that -6/11*n**3 - l*n**4 - 2/11*n + 0 - 6/11*n**2 = 0.
-1, 0
Suppose 12*a = -0*a - a. Factor 0*q**4 + a*q**2 + 0 + 2/5*q**5 + 0*q - 2/5*q**3.
2*q**3*(q - 1)*(q + 1)/5
Let b = -1102/3 - -355. Let v = 13 + b. Factor 0 + v*u - 2*u**2 - 8/3*u**3.
-2*u*(u + 1)*(4*u - 1)/3
Let g(j) be the second derivative of j**6/90 - j**5/60 - j**4/36 + j**3/18 + 16*j. Suppose g(d) = 0. Calculate d.
-1, 0, 1
Let g(m) = -4*m**3 - 4*m**2 + 4. Let q(v) = 8*v**3 + 9*v**2 + v - 9. Let s(b) = -9*g(b) - 4*q(b). What is r in s(r) = 0?
-1, 0, 1
Let a be 14/(-8) - (-6)/8. Let b be (1 - 1)/(-2 - a). Suppose c**2 + b*c**3 - 6*c**2 + c**3 + 8*c - 4 = 0. What is c?
1, 2
Let h(s) = -s + 1. Let 