= 0.
-1, 0, 1
What is x in -2/3*x**3 - 8/3*x**4 - 10/3*x + 8*x**2 - 4/3 = 0?
-2, -1/4, 1
Let f = -8942/19 + 471. Let a = f - 11/133. Determine k, given that -2/7*k**2 + 0*k + a = 0.
-1, 1
Let m(p) be the second derivative of p**6/1620 + p**5/270 + p**4/108 + 5*p**3/6 - 3*p. Let q(c) be the second derivative of m(c). Factor q(w).
2*(w + 1)**2/9
Factor 1/2*n**2 - 1/2*n - 1.
(n - 2)*(n + 1)/2
Let v(o) be the first derivative of o**7/84 + o**6/15 + 3*o**5/20 + o**4/6 + o**3/12 - 3*o + 3. Let s(t) be the first derivative of v(t). Factor s(q).
q*(q + 1)**4/2
Let c(v) be the first derivative of -2/45*v**5 - 10/27*v**3 + 1 + 2/9*v**2 + 2/9*v**4 + 0*v. Determine j so that c(j) = 0.
0, 1, 2
Let a(x) = 3*x**2 + 15*x + 12. Let z(f) = -f**2 - 6*f - 5. Let m(b) = -5*a(b) - 12*z(b). Determine n so that m(n) = 0.
-1, 0
Let i = 6 + -1. Let l(n) be the third derivative of 0 + n**2 - 1/180*n**6 + 1/315*n**7 - 1/90*n**i + 1/36*n**4 + 0*n + 0*n**3. Factor l(s).
2*s*(s - 1)**2*(s + 1)/3
Let m(t) be the third derivative of -t**7/70 + t**6/40 + t**5/20 - t**4/8 + 24*t**2. Suppose m(h) = 0. Calculate h.
-1, 0, 1
Suppose 2*j - 2*a - 14 = 0, -a + 47 - 14 = 4*j. Solve 0*c**4 + j*c**4 - 11*c**4 = 0 for c.
0
Let p = -3/646 - -1633/3876. Let z = 2/3 - p. Let 1/4*g**2 + 1/4*g**5 + 0*g - z*g**4 - 1/4*g**3 + 0 = 0. What is g?
-1, 0, 1
Let w(o) = 7*o**3 + 5*o - 6. Let u be -5*1*36/(-30). Let l(n) = 8*n**3 + 6*n - 7. Let c(y) = u*l(y) - 7*w(y). Factor c(a).
-a*(a - 1)*(a + 1)
Suppose -4*v + 13 - 1 = 0. Let l(y) be the first derivative of 0*y + 1/3*y**6 - 4/3*y**v + 4/5*y**5 + 1 - y**2 + 0*y**4. Find u such that l(u) = 0.
-1, 0, 1
Let y = 7 - 3. Factor -21*i**4 - 75*i**2 + 57*i**3 + 0*i**5 + 48*i + y*i**5 - 12 - i**5.
3*(i - 2)**2*(i - 1)**3
Let s(i) be the third derivative of -i**5/270 + i**4/54 + i**2. Let s(g) = 0. What is g?
0, 2
Let y(d) be the first derivative of -3/4*d**4 + 3/2*d + 1/4*d**6 - 5 - d**3 + 3/10*d**5 + 3/4*d**2. Factor y(h).
3*(h - 1)**2*(h + 1)**3/2
Let x(y) be the third derivative of -y**7/1050 - y**6/200 - y**5/100 - y**4/120 - 10*y**2. Solve x(c) = 0 for c.
-1, 0
Let x(s) be the first derivative of -5*s**3/3 - 30*s**2 - 180*s + 32. Determine c so that x(c) = 0.
-6
Let i(u) = 5*u**2 - 9*u + 4. Let o(f) = 26*f**2 - 45*f + 19. Let a(q) = -11*i(q) + 2*o(q). Suppose a(p) = 0. Calculate p.
1, 2
Let s(b) be the second derivative of b**5/80 - b**4/64 - b**3/16 - 7*b**2/2 - 3*b. Let i(y) be the first derivative of s(y). What is k in i(k) = 0?
-1/2, 1
Let u(z) be the first derivative of -z**4/8 + 4*z**3/3 - 4*z**2 + 4. Solve u(f) = 0.
0, 4
Let i = 1/7 + 5/14. Let m(c) be the first derivative of 1/12*c**3 - i*c**2 - 1 + c. Factor m(h).
(h - 2)**2/4
Let h(j) = 5*j**2 + 16*j + 29. Let q(n) = -26*n**2 - 80*n - 144. Let x(r) = 16*h(r) + 3*q(r). What is p in x(p) = 0?
-4
Let i be (6 - (0 + 12))*(-2)/6. Factor t**4 + 0 - 1/2*t - t**i + 1/2*t**3.
t*(t - 1)*(t + 1)*(2*t + 1)/2
Let r(t) be the first derivative of 0*t**4 + 5/18*t**6 + 0*t + 0*t**2 + 0*t**3 - 2 - 2/15*t**5. Let r(y) = 0. Calculate y.
0, 2/5
Let z = 6 - -5. Suppose -3*h = -1 - z. Suppose -h*f**3 + 0*f + 2*f**3 + 2*f = 0. Calculate f.
-1, 0, 1
Let i = -11 - -3. Let u be (i/10)/((-12)/10). Factor 1/3*b**2 + u - b.
(b - 2)*(b - 1)/3
Let b(q) be the second derivative of q**6/360 - q**5/120 + 5*q**3/6 - 5*q. Let x(o) be the second derivative of b(o). Find w such that x(w) = 0.
0, 1
Let i be (-19)/(-3) - 2/6. Let j(q) = 3*q**2 - 15*q + 2. Let m(c) = -2 + 2 + 21*c - 5*c - 2*c**2 - 2. Let k(t) = i*j(t) + 5*m(t). Find b, given that k(b) = 0.
1/4, 1
Solve 9*l**2 + l + 0*l + l + 7*l**3 = 0.
-1, -2/7, 0
Let f(s) be the third derivative of s**5/100 - s**4/40 - s**3/5 + 8*s**2. Factor f(w).
3*(w - 2)*(w + 1)/5
Let d(q) be the second derivative of -q**6/180 + q**4/12 + 2*q**3/3 - 4*q. Let o(b) be the second derivative of d(b). Let o(a) = 0. Calculate a.
-1, 1
Determine i so that 93*i - 150*i**2 - 7 - 33 + 47*i + 38*i**3 + 7*i**3 = 0.
2/3, 2
Factor -2/5*w**2 + 4/5*w**3 + 0 - 2/5*w.
2*w*(w - 1)*(2*w + 1)/5
Let m = 37/153 + -1/51. Factor 0*r + 0 + m*r**2.
2*r**2/9
Let y(l) = 69*l**2 - 141*l - 120. Let a(n) = -7*n**2 + 14*n + 12. Let h(p) = 21*a(p) + 2*y(p). Factor h(s).
-3*(s - 2)*(3*s + 2)
Let v(x) = -7*x**5 + 11*x**4 + 3*x**3 - 11*x**2 + x. Let h(j) = -15*j**5 + 23*j**4 + 7*j**3 - 23*j**2 + j. Let k(a) = -3*h(a) + 7*v(a). Factor k(c).
-4*c*(c - 1)**3*(c + 1)
Let b = 97 + -97. Factor 1/4*j**4 + 0*j - 1/4*j**5 + 0*j**2 + 0 + b*j**3.
-j**4*(j - 1)/4
Let u(g) be the third derivative of g**6/48 + g**5/24 - 5*g**4/48 - 5*g**3/12 - 11*g**2. Suppose u(o) = 0. Calculate o.
-1, 1
Let n(d) be the first derivative of -d**6/12 + d**5/10 + d**4/8 - d**3/6 + 2. Let n(p) = 0. What is p?
-1, 0, 1
Let j = 3 - 1. Let 4*a**3 + 6*a**4 - 1 + 24*a**2 + 16*a + 5 - j*a**4 + 12*a**3 = 0. Calculate a.
-1
Let c(x) be the third derivative of 2*x**7/7 + 7*x**6/24 - 7*x**5/12 - 5*x**4/12 + 10*x**2. Suppose c(d) = 0. What is d?
-1, -1/4, 0, 2/3
Let m(j) = j**2 - 11*j - 5. Let t(y) = y**2 - 17*y - 8. Let d(z) = 8*m(z) - 5*t(z). Let d(w) = 0. What is w?
0, 1
Factor -6*s**2 + 12 - 15*s + 3*s**4 - 21*s**3 - 24*s + 51*s**2.
3*(s - 4)*(s - 1)**3
Let k(u) = -u**3 + 10*u**2 - u + 11. Let h be k(10). Solve 4*p**2 + h + 8 - 2*p - p**2 - 10*p = 0 for p.
1, 3
Let p = 8/3 - 7/3. Let l(a) be the first derivative of 1/3*a**5 + 5/12*a**4 + 0*a**3 + 1/12*a**6 - 1 - p*a - 5/12*a**2. Suppose l(k) = 0. What is k?
-1, 2/3
Let w = 8/3 - 82/33. Solve -2*s**4 + 6/11*s**5 - 2/11*s - 12/11*s**2 + w + 28/11*s**3 = 0 for s.
-1/3, 1
Let s(u) be the third derivative of 1/84*u**4 + 1/210*u**5 + 0 + 0*u**3 - 3*u**2 + 0*u. Suppose s(b) = 0. What is b?
-1, 0
Let t = -3 + 5. Let l(a) = 2*a - 34. Let d be l(18). Determine o, given that 0*o + t*o**3 + 2*o - 3*o + 0*o + o**d = 0.
-1, 0, 1/2
Let f(w) be the second derivative of -w**4/12 - 5*w**3/6 - 3*w**2 + 22*w. Solve f(v) = 0 for v.
-3, -2
Let l(b) be the first derivative of b**4/4 - b**3/3 - 9. Solve l(r) = 0.
0, 1
Let z(w) be the first derivative of -1/4*w**2 + 3 + 0*w - 1/12*w**3. What is k in z(k) = 0?
-2, 0
Let v(z) be the first derivative of 0*z - 1/7*z**4 + 2/7*z**3 - 4 + 2/7*z**2 - 6/35*z**5. Let v(j) = 0. Calculate j.
-1, -2/3, 0, 1
Let q be 12/102 + 446/(-34). Let p = q + 15. Solve 0 + 1/2*x**p - x**3 + 1/2*x**4 + 0*x = 0.
0, 1
Suppose 2*a + 2*o + 2 = 0, 6 = a - 3*o - 5. Let v(y) be the second derivative of 0 + 1/33*y**4 + 0*y**2 + a*y + 1/110*y**5 + 0*y**3. Factor v(j).
2*j**2*(j + 2)/11
Let u(o) = -6*o**3 - 6*o**2 + 22*o + 26. Let s(z) = -19*z**3 - 17*z**2 + 67*z + 79. Let x(i) = 2*s(i) - 7*u(i). Solve x(d) = 0 for d.
-3, -1, 2
Let g(r) = -2*r**2 + 14*r + 3. Let b be g(7). Factor 3*w**3 - w**3 + 8*w**3 - 10*w - 8 + 9*w**2 - w**b.
(w - 1)*(3*w + 2)*(3*w + 4)
Let z(s) = s**2 - 2. Let w be z(3). Suppose w - 2 = m. Factor 0*y + 2/5*y**3 + 0 + 2/5*y**4 - 2/5*y**2 - 2/5*y**m.
-2*y**2*(y - 1)**2*(y + 1)/5
Let w(m) = 25*m**2 - 33*m + 3. Let k(v) be the third derivative of -13*v**5/60 + 17*v**4/24 - v**3/6 + v**2. Let x(y) = -5*k(y) - 3*w(y). Factor x(c).
-2*(c - 1)*(5*c - 2)
Factor 2/5*p**3 - 4/5*p**2 - 2/5*p + 4/5.
2*(p - 2)*(p - 1)*(p + 1)/5
Solve 10*y**2 - 12*y**3 - 15*y - 10 + 32*y**3 - 5*y**5 + 0*y**5 = 0.
-1, 1, 2
Let k(r) be the first derivative of 0*r**3 - 1/22*r**4 + 0*r + 8 + 0*r**2. Find m such that k(m) = 0.
0
Let i(p) = -6*p - 6. Let b be i(8). Let s = b - -166/3. Factor 14/3*o**3 + s*o**2 + 0 + 0*o + 10/3*o**4.
2*o**2*(o + 1)*(5*o + 2)/3
Let m be (-45)/(-162) - (-2)/18*2. Factor -m - 7/4*o - 3/4*o**3 - 2*o**2.
-(o + 1)**2*(3*o + 2)/4
Let -h**2 + 1/2*h**5 + 5/2*h**3 + 0*h - 2*h**4 + 0 = 0. What is h?
0, 1, 2
Suppose 5*h = 14 + 6. Let c = h + -2. Factor 0 - 1/3*v**3 + 1/3*v**4 + 1/3*v - 1/3*v**c.
v*(v - 1)**2*(v + 1)/3
Suppose -3*l = -5*f - 5 + 17, 5*f - l = 14. Factor -27*w + 27*w**4 - 42*w**3 + 48*w**2 - f*w**5 - 9*w**4 + 3 + 3.
-3*(w - 2)*(w - 1)**4
Suppose 6*b - 8 = 4*b. What is d in d**5 - d**3 + d**b - 14 + 14 - d**2 = 0?
-1, 0, 1
Let o(g) be the second derivative of -2*g - 2/3*g**3 - 2*g**2 - 1/12*g**4 + 0. Find s such that o(s) = 0.
-2
Let h(j) = -4*j**3 - j**2 - 2*j. Let p be h(-1). Let z be (-4)/(-5)*p/6. Factor z*i**2 + 2/9 - 2/9*i**3 - 2/3*i.
-2*(i - 1)**3/9
Let v = -112 - -11201/100. Let i(k) be the second deri