+ 5*o**q + o**5 - 3*o**3 = 0. What is o?
-1, 0
Suppose -o + 4 = -0*o. Factor -o*k**2 - k**2 + 2*k**4 + 2*k**3 - 8*k - 3*k**2.
2*k*(k - 2)*(k + 1)*(k + 2)
Suppose 3*v - 4*h = -2*v - 20, -2*h + 10 = v. Suppose -2/5*r**5 + 2/5*r**2 - 2/5*r**4 + 2/5*r**3 + v*r + 0 = 0. Calculate r.
-1, 0, 1
Let x(i) be the third derivative of -3*i**8/448 + i**7/40 - 7*i**6/480 - 17*i**5/240 + i**4/6 - i**3/6 + 4*i**2. Suppose x(q) = 0. Calculate q.
-1, 2/3, 1
Let y(a) = -a**3 + a**2 + a + 2. Let b be y(0). Factor -2/3*z**4 - 2/3*z + 2/3*z**b + 2/3*z**3 + 0.
-2*z*(z - 1)**2*(z + 1)/3
Let o(a) be the second derivative of -2*a**6/15 - 7*a**5/5 - 5*a**4/3 + 14*a**3/3 + 12*a**2 - 2*a. Factor o(z).
-4*(z - 1)*(z + 1)**2*(z + 6)
Factor 0 - 6/7*m - 2*m**2 - 2/7*m**4 - 10/7*m**3.
-2*m*(m + 1)**2*(m + 3)/7
Let u be 0*(-1 + 3 + 0)/(-4). Suppose 1/6*z - 2/3*z**2 + u = 0. What is z?
0, 1/4
Let d = 819/2 - 409. Suppose 0 + 0*t + d*t**3 - 1/2*t**2 = 0. Calculate t.
0, 1
Find m such that 1/5*m - 4/5*m**2 + 4/5 - 1/5*m**3 = 0.
-4, -1, 1
Let l(s) be the second derivative of s**7/560 - s**5/80 + s**3/2 - 6*s. Let z(r) be the second derivative of l(r). Let z(b) = 0. Calculate b.
-1, 0, 1
Let o(r) be the third derivative of r**9/22680 + r**8/10080 + 7*r**4/24 - 6*r**2. Let p(i) be the second derivative of o(i). Find c, given that p(c) = 0.
-1, 0
Let g(r) be the second derivative of 25*r**7/42 + 11*r**6/6 - 14*r**5/5 - 22*r**4/3 + 40*r**3/3 - 8*r**2 - 8*r. Solve g(n) = 0 for n.
-2, 2/5, 1
Let v be (249/243 - 1)*-3*-3. Factor 0 + v*i**2 - 2/9*i.
2*i*(i - 1)/9
Let j be (-162)/15 + 3/(-15). Let l(a) = 3*a**2 + 26*a + 7. Let h be l(j). Factor 98*q**3 + 16/7 + 24*q + h*q**2.
2*(7*q + 2)**3/7
Let i(k) = k**5 - k**4 + 3*k**3 - 3*k**2 - 4*k. Let a(p) = p**3 - p**2 - p. Let j(n) = n + 2. Let t be j(1). Let o(r) = t*i(r) - 12*a(r). Factor o(y).
3*y**2*(y - 1)**2*(y + 1)
Let g be (5/90)/(10/4). Let a(p) be the second derivative of 0*p**3 + p + 0*p**2 + 0 + 1/54*p**4 - g*p**5 + 1/135*p**6. What is l in a(l) = 0?
0, 1
Let g(b) be the first derivative of -4 + 0*b + 1/9*b**2 + 2/27*b**3. Solve g(j) = 0 for j.
-1, 0
Let m be 11/15 + (-10)/25 + 0. Factor -m*c**2 - 1/3*c + 0.
-c*(c + 1)/3
Suppose 2*z = -6, -3*z - 24 = 5*c - 10*c. Let y = c + -2. Determine m so that -4 + 11*m**4 - m**4 - y - 3 - 4*m**3 - 30*m**2 + 32*m = 0.
-2, 2/5, 1
Let y(t) = t**2 - 3*t - 3. Let p(w) = 1 + 0 + 3*w - w**2 - 2*w + 0*w. Let l(q) = -3*p(q) - y(q). Solve l(c) = 0.
0
Suppose -5*r - 20 = w + 3*w, -w - 5*r - 20 = 0. What is k in 0 + 1/3*k**3 + 0*k + w*k**2 = 0?
0
Suppose -12*x**3 + 44/7*x**2 - 8/7*x + 0 - 20/7*x**5 + 68/7*x**4 = 0. What is x?
0, 2/5, 1
What is z in 4*z - 16*z**2 - 1/4 = 0?
1/8
Let w(l) be the first derivative of -2/11*l + 1/22*l**4 + 2/33*l**3 - 1/11*l**2 + 1. Factor w(b).
2*(b - 1)*(b + 1)**2/11
Let v = -7 + 7. Let p(q) be the third derivative of 2*q**2 - 1/24*q**3 + v + 1/96*q**4 - 1/480*q**6 + 0*q + 1/240*q**5. Factor p(a).
-(a - 1)**2*(a + 1)/4
Let f(x) = -x**3 - x + 5. Let w be f(0). Let t(o) be the second derivative of -1/48*o**4 + o + 1/8*o**2 + 1/24*o**3 + 0 - 1/80*o**w. Factor t(s).
-(s - 1)*(s + 1)**2/4
Determine n so that -3/5*n**3 - 24/5 - 18/5*n**2 - 36/5*n = 0.
-2
Let h(x) be the first derivative of -x**4/4 - 4*x**3/3 + x**2/2 + 4*x + 1. Suppose h(j) = 0. Calculate j.
-4, -1, 1
Let z = 14 - 10. Let l(q) = -q**2 + 4*q + 2. Let k be l(z). Determine g so that 0 - 4*g + g**k + 3 + 1 = 0.
2
Let l(y) = -2*y**2 - 8*y + 8. Let r(i) = 3*i**2 + 8*i - 8. Let t(s) = -2*s - 4. Let a be t(-4). Suppose -12 = -a*g + g. Let q(u) = g*r(u) + 5*l(u). Factor q(w).
2*(w - 2)**2
Let z(b) be the second derivative of b**9/6048 - 17*b**8/13440 + b**7/315 - b**6/360 - b**4/3 - b. Let l(d) be the third derivative of z(d). Factor l(v).
v*(v - 2)*(v - 1)*(5*v - 2)/2
Factor 5*t**3 - 6*t**2 + 9*t**4 + 13*t**3 - 24*t**3 - 3*t**5 - 3 + 9*t.
-3*(t - 1)**4*(t + 1)
Suppose -50 = 2*b - 56. Let l(z) be the first derivative of 1/6*z**b + 0*z + 0*z**2 - 3/8*z**4 + 3/10*z**5 - 1/12*z**6 + 3. Determine g, given that l(g) = 0.
0, 1
Let i = -20 + 421/21. Let s(q) be the second derivative of 0*q**3 + 1/24*q**4 - i*q**7 + 0 - 1/60*q**6 + 1/10*q**5 + 0*q**2 - 2*q. What is l in s(l) = 0?
-1, -1/4, 0, 1
Let x = -168 - -171. Let c(o) be the third derivative of -207/70*o**7 + o**2 + 3/4*o**5 + 81/112*o**8 - 3*o**4 - 2*o**x + 0 + 139/40*o**6 + 0*o. Solve c(a) = 0.
-2/9, 1
Let y(u) be the second derivative of 0 - 2/7*u**2 + 1/42*u**4 + 1/105*u**6 - 1/7*u**3 + 3/70*u**5 - 2*u. Determine k, given that y(k) = 0.
-2, -1, 1
Let a(z) be the first derivative of 2*z**3 + 18*z**2 - 3/5*z**5 - 3*z**4 + 4 - 27*z. Factor a(i).
-3*(i - 1)**2*(i + 3)**2
Let x = 7 + -4. Let -2 + 2*a**4 - 3*a**3 - 4*a + 7*a**x + 0 = 0. Calculate a.
-1, 1
Let t = 20 + -39/2. Let d(v) be the first derivative of -t*v**2 - 1/6*v**3 + 1/8*v**4 + 1 + 0*v. Factor d(k).
k*(k - 2)*(k + 1)/2
Let q(l) = -8*l**5 - 16*l**4 + 24*l**3 - 4*l**2 + 4*l. Let x(a) = -a**5 + a**2. Let j(s) = -q(s) + 12*x(s). Factor j(f).
-4*f*(f - 1)**4
Suppose 5*p**2 - p**2 - 32 + 16*p - 6*p**2 = 0. Calculate p.
4
Let u(b) be the second derivative of 7/6*b**3 - 5/12*b**4 + 2*b + 0 - b**2. Determine z so that u(z) = 0.
2/5, 1
Let z(h) = -3*h - 6*h**3 + 0*h**3 + 5*h**2 - h**2 + 3*h**3 - 6. Let o(r) = -r**3 + r**2 - 1. Let p(l) = -4*o(l) + z(l). Factor p(x).
(x - 2)*(x + 1)**2
Let q = 5 + -5. Let x be ((-4)/10)/(1/(-5)). Solve -1/5*f**4 + 0*f - 1/5*f**3 + q + 2/5*f**x = 0.
-2, 0, 1
Find h, given that -4/13*h**2 + 2/13*h**5 + 0*h**3 + 0 - 2/13*h + 4/13*h**4 = 0.
-1, 0, 1
Let f be (-4)/5*(-6)/8. Let r = 1 - -2. Solve 0*w + 0 - f*w**2 - 3/5*w**r = 0.
-1, 0
Let o(p) = 18*p**2 - 5*p + 3. Suppose 3*j - 9 = -0. Let z be o(j). Find a such that -117*a**2 + 16 + 24*a - 23*a**2 + 122*a**4 - z*a**3 + 128*a**4 = 0.
-2/5, 2/5, 1
Suppose 12*u - 5*l + 25 = 14*u, 0 = 3*u + 4*l - 20. Let a be (4/(-6))/(1/(-3)). Factor -2/5*g**4 + u*g + 2/5*g**3 + 0 + 0*g**a.
-2*g**3*(g - 1)/5
Let l be (1 - -1) + 1 + 0. Suppose 0 = 2*j - l*u - 13, 0*u + 5*u = -j - 13. Determine n, given that -3 + n - 7*n + 0*n - 1 - j*n**2 = 0.
-2, -1
Let q(j) be the third derivative of -j**7/840 - j**6/480 + j**5/240 + j**4/96 + 4*j**2. Factor q(m).
-m*(m - 1)*(m + 1)**2/4
Let x(k) be the third derivative of k**6/10 + 39*k**5/20 + 45*k**4/4 - 25*k**3/2 - 8*k**2. Factor x(j).
3*(j + 5)**2*(4*j - 1)
Let u = 80 + -45. Let s = u + -104/3. Let 0 - 1/3*g**2 + s*g = 0. Calculate g.
0, 1
Suppose 2*d = -d. Solve 0*b**3 + 2*b + d*b**3 - 2*b**3 = 0.
-1, 0, 1
Let a(b) = -b**2 + b + 24. Let o be a(0). Let h = o + -24. What is q in 4/9*q**2 + 0 + 70/9*q**5 + 2/9*q**3 - 76/9*q**4 + h*q = 0?
-1/5, 0, 2/7, 1
Let g be -1 + 5 - (1 - 2 - -3). Let h(y) = y**2 + 4*y. Let l(p) = p**2 + 3*p. Let k be -1*1*(-9)/(-3). Let w(r) = g*h(r) + k*l(r). Solve w(i) = 0 for i.
-1, 0
Let p be (0 - 6/27)/(4/(-6)). Let g(b) be the second derivative of 1/18*b**3 + 2*b + 1/36*b**4 + 0 - p*b**2. Factor g(s).
(s - 1)*(s + 2)/3
Suppose -4*g = 5*m - 26, 4*g - 13 = 3*m - 3. Suppose 0*q**3 - 2/9*q**g - 2/9*q**5 + 0*q**2 + 0*q + 0 = 0. What is q?
-1, 0
Find w such that -105*w - 106*w - 4*w**2 + 16 + 219*w - 2*w**3 = 0.
-2, 2
Let v(j) be the third derivative of j**6/540 - j**5/270 - 5*j**4/108 - j**3/9 + 16*j**2. Determine s, given that v(s) = 0.
-1, 3
Let v(t) = -12*t**4 - 98*t**3 - 122*t**2 + 324*t + 648. Let w(f) = 4*f**4 + 33*f**3 + 41*f**2 - 108*f - 216. Let a(h) = 5*v(h) + 14*w(h). Factor a(n).
-4*(n - 2)*(n + 3)**3
Let u(z) = -z**3 + 8*z**2 - z + 3. Let m be u(8). Let p(r) = -r**3 - 6*r**2 - 5*r. Let y be p(m). Solve y + 1/4*f**2 - 1/4*f = 0 for f.
0, 1
Let j(x) be the second derivative of -1/2*x**4 + 9/20*x**5 + 0*x**2 - x + 0 - 1/2*x**3. Find i, given that j(i) = 0.
-1/3, 0, 1
Let v(d) = -11*d**3 + 6*d + 5. Let y(t) = -17*t**3 + 9*t + 8. Let x(f) = 4*f + 8. Let u be x(-4). Let h(i) = u*v(i) + 5*y(i). Factor h(b).
3*b*(b - 1)*(b + 1)
Solve -3/2*r**2 + 3 - 3/2*r = 0.
-2, 1
What is i in -3*i**2 - i**2 - 2*i - 22*i**5 + 24*i**5 + 4*i**4 = 0?
-1, 0, 1
Let y(s) be the first derivative of -s**6/6 + s**4/4 + 5. Determine m so that y(m) = 0.
-1, 0, 1
Let w(c) be the first derivative of 3 + 1/2*c + 1/2*c**2 + 1/6*c**3. Let w(o) = 0. What is o?
-1
Let s(o) be the third derivative of o**9/68040 + o**8/10080 - o**6/81