-1 - k*s**2 - 2*s - 2 + 2*s**3 + 5 = 0?
-1, 1
Factor 0*c**5 - c**2 - 212*c - 7*c**3 - c**5 - 4 + 220*c + 5*c**4.
-(c - 2)**2*(c - 1)**2*(c + 1)
Let n = 729/1034 + -15/94. Factor 2/11*y**2 - n*y + 4/11.
2*(y - 2)*(y - 1)/11
Let o(m) be the third derivative of 0 + 0*m - 1/735*m**7 + 0*m**3 - 1/420*m**6 + 0*m**4 - m**2 + 0*m**5. Suppose o(p) = 0. What is p?
-1, 0
Let v be 1*(6 - (-3 + 7)). Let k(l) be the first derivative of -4 - l**5 - l - 1/6*l**6 - 5/2*l**4 - 10/3*l**3 - 5/2*l**v. Factor k(p).
-(p + 1)**5
Let n(k) = 0 - 2 + 7*k + k**2 - 2. Let b be n(-8). Factor -y**5 + 0*y**3 - y**b + y**3 + y**3.
-y**3*(y - 1)*(y + 2)
Suppose 0*d - 36 = -4*d. Suppose -4 = 5*g - y - d, 11 = 3*g + y. Let -8/7*x**3 + 8/7*x**5 - 2/7*x**g + 2/7*x**4 + 0 + 0*x = 0. Calculate x.
-1, -1/4, 0, 1
Let r(o) = o**3 - 29*o**2 + 31*o - 15. Let p(b) = -5*b**3 + 175*b**2 - 185*b + 90. Let u(t) = -4*p(t) - 25*r(t). Suppose u(y) = 0. What is y?
1, 3
What is i in 0*i**3 + 2/9*i**4 + 0*i - 2/9*i**2 + 0 = 0?
-1, 0, 1
Let k(w) be the second derivative of 0 - 4*w - 5/48*w**4 + 1/6*w**3 - 1/8*w**2 + 1/40*w**5. What is o in k(o) = 0?
1/2, 1
Let l(p) = 2*p**3 - 8*p**2 - 10*p - 4. Let g(z) = -2*z**3 + 7*z**2 + 9*z + 3. Let y(o) = 4*g(o) + 3*l(o). Find t such that y(t) = 0.
-1, 0, 3
Let 3/2*c**4 + 0 + 0*c + 0*c**3 - 6*c**2 = 0. Calculate c.
-2, 0, 2
Let o(s) be the second derivative of s**4/48 - s**3/12 - 3*s**2/8 - 16*s. What is c in o(c) = 0?
-1, 3
Find b, given that 0 + b - b**3 + 1/3*b**4 - 1/3*b**2 = 0.
-1, 0, 1, 3
Factor 3/7*x**2 + 48/7 - 24/7*x.
3*(x - 4)**2/7
Let i(x) be the third derivative of 0 + 0*x - 1/80*x**6 + 1/120*x**5 + 0*x**3 + 0*x**4 + 4*x**2 + 1/140*x**7 - 1/672*x**8. Factor i(a).
-a**2*(a - 1)**3/2
Let u(c) be the second derivative of 5*c + c**2 + 1/24*c**4 - 1/3*c**3 + 0. Determine i so that u(i) = 0.
2
Let f(c) be the first derivative of -c**7/2520 - c**6/540 + c**5/360 + c**4/36 - 7*c**3/3 + 8. Let r(l) be the third derivative of f(l). Factor r(v).
-(v - 1)*(v + 1)*(v + 2)/3
Let m(p) = -p - 4 + 1 + 0. Let l be m(-5). Factor 0 + z + z**l + 0 + 0*z**2.
z*(z + 1)
Let u(o) be the third derivative of o**6/120 + o**5/60 + 12*o**2. Find r, given that u(r) = 0.
-1, 0
Let u(p) be the second derivative of -2*p - 1/45*p**4 + 1/150*p**5 + 0*p**3 + 0 + 0*p**2. Factor u(s).
2*s**2*(s - 2)/15
Let z(n) be the third derivative of n**7/315 + n**6/60 + n**5/90 - n**4/12 - 2*n**3/9 + 28*n**2. Factor z(d).
2*(d - 1)*(d + 1)**2*(d + 2)/3
What is y in 2/3*y**5 + 2/3*y**4 + 52/3*y**2 + 10/3 - 38/3*y - 28/3*y**3 = 0?
-5, 1
Suppose -5 + 1 = -j. Factor -3*y**j - 1 + 0*y**3 + 1 + 3*y**3.
-3*y**3*(y - 1)
Let o = 2 - 0. Suppose -3*s - p + 12 = -9, 4*s = -3*p + 28. Determine j, given that -5*j**3 - s*j**4 + 12*j**4 + 5*j - 2*j**4 - 2 - j**o = 0.
-1, 2/3, 1
Let l(g) = 3*g**2 - g + 4. Let v be l(2). Let j = v + -12. Solve 2*n**j + 2/3 - 2/3*n**3 - 2*n = 0 for n.
1
Solve -4/7*d**2 + 16/7 + 16/7*d - 4/7*d**3 = 0.
-2, -1, 2
Let j(f) be the second derivative of 61/24*f**4 + 0 + 3*f + f**2 - 1/21*f**7 + 5/12*f**6 - 29/20*f**5 - 7/3*f**3. Suppose j(y) = 0. What is y?
1/4, 1, 2
Let t(q) be the second derivative of 7*q**6/90 + q**5/30 - 11*q. Let t(r) = 0. What is r?
-2/7, 0
Let c(h) be the second derivative of -h**9/1008 - h**8/280 + h**6/60 + h**5/40 + h**3/6 + 2*h. Let q(g) be the second derivative of c(g). Factor q(r).
-3*r*(r - 1)*(r + 1)**3
Suppose 0 = -2*y + 4*y + 2*a - 2, 3*a = 3. Determine d so that -2*d**2 + y*d**2 + 2 - 2 = 0.
0
Suppose -5 + 15*u**2 + 5*u**3 + 13*u + 10 + 2*u = 0. What is u?
-1
Let b(g) be the first derivative of -g**8/84 + 3*g**7/70 - g**6/20 + g**5/60 + g**2/2 - 2. Let q(z) be the second derivative of b(z). Factor q(o).
-o**2*(o - 1)**2*(4*o - 1)
Factor -12*m**3 - 8 - 4*m - 20*m**2 + 10 + 2.
-4*(m + 1)**2*(3*m - 1)
Find d, given that -3*d**3 - 13*d**3 - 7 + 12*d + 0 - 1 + 8*d**2 + 4*d**5 = 0.
-2, -1, 1
Suppose 0*p - p + 2 = 0. Let n be 2/4*(1 - -3). Factor 2*d + d**3 + n - 4*d**3 + d**3 - 2*d**p.
-2*(d - 1)*(d + 1)**2
Let z(b) = b**2 + 18*b - 492. Let w be z(15). Find u, given that -6/5 - 3/5*u**2 + 9/5*u**4 - 3*u**3 + w*u = 0.
-1, 2/3, 1
Let v(z) be the second derivative of -z**8/5880 + z**6/630 - z**4/84 + z**3/6 - 4*z. Let p(a) be the second derivative of v(a). Let p(x) = 0. What is x?
-1, 1
Factor -1/2*v + 3/4*v**2 - 1/4*v**4 + 0 + 0*v**3.
-v*(v - 1)**2*(v + 2)/4
Let t be 12/16 + 2/(-24). Let w(b) be the second derivative of -b - 4/3*b**4 + 0*b**2 - 1/4*b**5 + 0 - t*b**3 + 7/30*b**6. Factor w(f).
f*(f - 2)*(f + 1)*(7*f + 2)
Let f(s) = -4*s - 9. Let o be f(-5). Suppose 0 = 5*n - o - 14. Suppose 0*m + 3/4*m**3 - 1/4*m**2 - 3/4*m**4 + 1/4*m**n + 0 = 0. What is m?
0, 1
Let s(q) = q + 9. Let a be s(-7). Factor 4*y**5 + a*y**2 + 6*y**2 - 4*y**3 - 4*y**4 - 4*y**2.
4*y**2*(y - 1)**2*(y + 1)
Factor 0 + 0*j**2 + 4/9*j**3 + 2*j**4 + 0*j.
2*j**3*(9*j + 2)/9
Let u(r) = 4*r**4 + 2*r**3 - 6*r**2 - 5*r + 5. Let w(z) = -z**4 + z**2 + z - 1. Let n be (-30)/(-8)*(-16)/4. Let f(i) = n*w(i) - 3*u(i). Factor f(o).
3*o**2*(o - 1)**2
Let o be (-24)/(-6)*3/4. Factor -4/3*p**2 - 10/3*p**o + 0 + 0*p.
-2*p**2*(5*p + 2)/3
Let r be (-2)/10 + 63/15. Let b be 27/(-126)*r/(-3). Factor 0 + 4/7*s - b*s**2.
-2*s*(s - 2)/7
Let o(j) be the first derivative of 1/2*j**4 - 1/2*j**2 - j + 2/3*j**3 - 1/6*j**6 - 5 - 1/5*j**5. Suppose o(r) = 0. What is r?
-1, 1
Suppose 0 = 5*b - 3*b - 4. Let a(t) be the second derivative of 2*t + 0*t**3 + 0 - 1/30*t**4 + 0*t**b. Factor a(n).
-2*n**2/5
Let z be 12/(10 - -62) + 2/(-12). Factor 0*h + 0*h**2 - 1/5*h**3 + z.
-h**3/5
Factor -3*t - 3/2*t**2 + 0.
-3*t*(t + 2)/2
Let o be ((-8)/(-96))/((-1)/(-2)). Let q(n) be the second derivative of 0 - o*n**3 + 1/20*n**5 - n - 1/12*n**4 + 1/2*n**2. Factor q(w).
(w - 1)**2*(w + 1)
Let a(h) be the third derivative of -h**9/3780 - h**8/672 - h**7/315 - h**6/360 - 7*h**4/24 + h**2. Let l(q) be the second derivative of a(q). Factor l(j).
-2*j*(j + 1)**2*(2*j + 1)
Let f(i) be the third derivative of 1/36*i**4 + 0 - i**2 + 1/210*i**7 + 0*i + 0*i**3 - 1/60*i**5 + 5/1008*i**8 - 7/360*i**6. Determine z, given that f(z) = 0.
-1, 0, 2/5, 1
Let f(a) be the third derivative of a**6/120 - a**5/60 - a**4/24 + a**3/6 + 2*a**2. Factor f(y).
(y - 1)**2*(y + 1)
Determine x so that 3*x**2 - 2*x**3 + 2*x - 5/2 - 1/2*x**4 = 0.
-5, -1, 1
Let s be 0*((-12)/(-40) - (-2)/10). Find g such that -2/3*g + 2/3*g**2 + s = 0.
0, 1
Let k(s) = -s**3 - s**2 + 3. Let d be k(0). Let 2*v**2 + 0*v**2 - 2*v**2 - 2*v**4 - 2*v**d + 2*v**2 + 2*v = 0. What is v?
-1, 0, 1
Let k be (-2)/((-6)/(-4)*(-36)/189). Determine g so that 9*g**3 - 5/2*g**4 - 3/2 + k*g - 12*g**2 = 0.
3/5, 1
Solve 12 + g**3 - 3*g**3 - 256*g + 4*g**2 - 2*g**3 + 276*g = 0 for g.
-1, 3
Suppose -3*i + 10 = 5*j, 4*i - 4*j + 6 = 30. Let z(u) = 7*u**3 + 5*u**2 + 6*u. Let w(l) = -6*l**3 - 4*l**2 - 5*l. Let g(b) = i*z(b) + 6*w(b). Factor g(t).
-t**2*(t - 1)
Let y(j) be the second derivative of -2*j**6/15 + j**5/5 + j**4/3 - 2*j**3/3 - j - 7. Factor y(i).
-4*i*(i - 1)**2*(i + 1)
Let o(p) be the third derivative of -p**6/240 + p**5/24 - 7*p**4/48 + p**3/4 + 14*p**2. Let o(k) = 0. What is k?
1, 3
Suppose -2*i - 8 = -36. Suppose -i*n = -11*n - 6. Factor -2*r**3 + 2*r - 2/3*r**n + 2/3.
-2*(r - 1)*(r + 1)*(3*r + 1)/3
Let i(l) be the third derivative of l**7/360 - l**6/360 - l**4/8 + l**2. Let b(v) be the second derivative of i(v). Factor b(h).
h*(7*h - 2)
Let q(a) be the third derivative of a**9/332640 + a**8/55440 + a**5/15 + a**2. Let k(b) be the third derivative of q(b). Determine g, given that k(g) = 0.
-2, 0
Let f be (0/7 + -1)*(-2)/6. Factor -r**2 + 0 - f*r.
-r*(3*r + 1)/3
Let o(v) be the first derivative of v**5 + 4*v**4 + 6*v**3 + 4*v**2 + v - 5. Determine m so that o(m) = 0.
-1, -1/5
Let a(r) be the third derivative of 0*r**3 - 1/420*r**7 - 1/120*r**6 + 3*r**2 - 1/120*r**5 + 0 + 0*r + 0*r**4. Determine d, given that a(d) = 0.
-1, 0
Let n(u) = 19*u**4 + 21*u**3 - 4*u**2 + 6. Let y(m) = -265*m**4 - 295*m**3 + 55*m**2 - 85. Let s(h) = 85*n(h) + 6*y(h). Suppose s(j) = 0. Calculate j.
-1, 0, 2/5
Suppose 0*k = k. Let n(t) be the third derivative of 1/120*t**7 + k*t + 1/40*t**6 + 1/80*t**5 - 1/48*t**4 - 2*t**2 + 0 + 0*t**3. Factor n(o).
o*(o + 1)**2*(7*o - 2)/4
Let o(i) be the first derivative of -i**6/120 - i**5/15 - 5*i