 6/7*m - 2/7*m**2 = 0?
-2, -1
Let v be 1/(2 + 7/(-21)). Find w, given that -3/5*w**4 + 1/5 - v*w + 2/5*w**2 + 2/5*w**3 + 1/5*w**5 = 0.
-1, 1
Let x(o) = 2*o - 9. Let l be x(4). Let d be (-4 + (-22)/(-9))/l. Factor -d*v**3 + 0 + 0*v + 4/9*v**2 + 2/3*v**4.
2*v**2*(v - 2)*(3*v - 1)/9
Let i be (749/(-245) - -3)/(3/(-30)). Determine s, given that -i*s**4 - 20/7*s**2 + 0 + 16/7*s**3 + 8/7*s = 0.
0, 1, 2
Let y(m) = m**3 + 6*m**2 - m - 3. Suppose -3*h = -2*v - 8*h + 3, -3*v - 24 = -2*h. Let b be y(v). Factor 10*w**b - 4*w**2 + w**3 - w**3 - 10*w + 4.
2*(w - 1)*(w + 1)*(5*w - 2)
Let k(x) be the second derivative of -x**6/60 - x**5/40 + x**4/8 + x**3/12 - x**2/2 + 17*x. Solve k(b) = 0 for b.
-2, -1, 1
Let o = -199/3 + 67. Determine x so that 0 + o*x**4 + 10/3*x**2 + 8/3*x**3 + 4/3*x = 0.
-2, -1, 0
Let s(w) = w**2 + w - 1. Let y(d) = 5*d**4 + 30*d**3 + 45*d**2 + 40*d + 40. Let c(i) = 20*s(i) + y(i). Factor c(f).
5*(f + 1)**2*(f + 2)**2
Let h(z) be the second derivative of 2*z**6/75 - 31*z**5/50 + 11*z**4/2 - 65*z**3/3 + 25*z**2 - 8*z - 3. Factor h(n).
2*(n - 5)**3*(2*n - 1)/5
Solve -12*y**4 + 14*y**4 - 14*y**4 - 13*y**4 + 4*y**2 - 8*y + 50*y**3 = 0.
-2/5, 0, 2/5, 2
Let s be (-35)/15 + (28/(-3))/(-4). Solve s + 4/11*j - 2/11*j**2 = 0.
0, 2
Let v = -56 + 60. Let p be 4/(-6)*6/(-16). Determine u so that p*u**v + 0*u**3 + 0 + 0*u**2 + 0*u = 0.
0
Let u(s) be the first derivative of s**6/9 + 2*s**5/3 + 7*s**4/6 - 2*s**3/9 - 8*s**2/3 - 8*s/3 - 1. Find g such that u(g) = 0.
-2, -1, 1
Let t(s) be the first derivative of -s**3/3 - 3*s + 5. Let m be 5 - (1 + 0 + 1). Let l(a) = -a**2 - a - 4. Let z(j) = m*t(j) - 2*l(j). Factor z(y).
-(y - 1)**2
Let i(q) be the second derivative of q**7/126 - q**6/45 + q**4/18 - q**3/18 - 10*q. Determine c so that i(c) = 0.
-1, 0, 1
Let m(h) = -h**3 - 5*h**2 - 5*h - 2. Suppose 3*p + 10 = -5. Let b be m(p). Let -16*i**2 + 9*i**3 + i + i + b*i**3 = 0. Calculate i.
0, 1/4
Solve -3/4*p + 9 - 3/4*p**2 = 0 for p.
-4, 3
Let j = 15/2 - 43/6. Let h = -6 + 19/3. Let j + 1/3*t**3 - 1/3*t**2 - h*t = 0. Calculate t.
-1, 1
Let r(d) = d + 7. Let k be r(-5). Factor -2*y + 5*y + 2*y**3 - 11*y**k + 3*y**2 - 4 + 7*y.
2*(y - 2)*(y - 1)**2
Suppose -5*p = l - 2*p - 1, 2*p + 22 = 5*l. Suppose l = -5*b + 24. Factor 0*g**3 - 4/11*g - 2/11*g**b + 6/11*g**2 + 0.
-2*g*(g - 1)**2*(g + 2)/11
Let y(b) be the second derivative of 0*b**2 + 2/33*b**3 + 0 - 3/110*b**5 - 4*b + 1/66*b**4. Let y(r) = 0. What is r?
-2/3, 0, 1
Let 1 + 5*f**3 - 4*f**4 + 3*f**3 - 8*f + 3 = 0. What is f?
-1, 1
Let g be ((-3)/4*2)/((-3)/4). Solve 0 + 13/3*q**3 + 4/3*q + 4*q**g + 2*q**4 + 1/3*q**5 = 0 for q.
-2, -1, 0
Let u(s) = 15*s**3 + 9*s**2 - 6*s + 9. Let r(a) = 7*a**3 + 4*a**2 - 3*a + 4. Let k(m) = -9*r(m) + 4*u(m). Solve k(i) = 0.
-1, 0, 1
Let h be 88/96 + 1/(-4). Factor 4/3*c + 2/3*c**2 + h.
2*(c + 1)**2/3
Suppose -4*t - 2 + 13 = -5*r, -2*t = r + 5. Let q = 2 - t. Factor 3 - 2*x**2 - q.
-2*x**2
Factor -24*y**4 - 20*y**4 - 26*y - 29*y**3 - 4 - 5*y**2 - 59*y**2 - 10*y**5 - 47*y**3.
-2*(y + 1)**4*(5*y + 2)
Suppose 0 + 1/2*y - 1/2*y**3 - 3/4*y**2 + 3/4*y**4 = 0. What is y?
-1, 0, 2/3, 1
Let o(t) = -12*t**2 - 48*t - 48. Let a(i) = -i + 4. Let d be a(6). Let w(v) = 3*v**2 + 12*v + 12. Let h(j) = d*o(j) - 9*w(j). Factor h(u).
-3*(u + 2)**2
Let k(z) be the third derivative of 5*z**8/1344 - z**6/48 + 5*z**4/96 - 25*z**2 + 2*z. Suppose k(w) = 0. What is w?
-1, 0, 1
Factor 0 + 3/4*u**2 + 0*u**3 - 3/4*u**4 + 0*u.
-3*u**2*(u - 1)*(u + 1)/4
Let a = 32/15 - 4/5. Factor a - 4/3*z + 1/3*z**2.
(z - 2)**2/3
Let d(c) be the second derivative of 1/60*c**6 + 1/20*c**5 - 1/12*c**3 - 3*c + 0 + 1/4*c**2 - 1/84*c**7 - 1/12*c**4. Factor d(b).
-(b - 1)**3*(b + 1)**2/2
Let f(p) be the second derivative of 1/66*p**4 + 5*p + 0 - 1/11*p**2 + 0*p**3. Find z such that f(z) = 0.
-1, 1
Factor -2/3*v**2 - 8/3 - 8/3*v.
-2*(v + 2)**2/3
Suppose -8*s + 40 = 2*s. Solve -1/2*a**5 + 0 + 0*a**3 + a**2 - a**s + 1/2*a = 0.
-1, 0, 1
Suppose -2*c - 1 = -5*g, 5*c + 5*g = g + 14. Let t(x) = x**2 - 5*x + 2. Let f be t(5). Factor q + q**c - 5 + 3 + f.
q*(q + 1)
Let c(g) = 0*g**2 + 1 - g**2 + 4*g**2 - 2*g**2. Let r(z) = z**3 + 10*z**2 - 2*z + 11. Let m(o) = -44*c(o) + 4*r(o). Determine k, given that m(k) = 0.
-1, 0, 2
Let j(s) = -s - 1. Let q be j(-3). Suppose q + g**2 + g**4 - 3*g**4 - 4*g**3 - g**2 + 4*g = 0. Calculate g.
-1, 1
Suppose -38/17*o + 12/17 - 4*o**2 - 18/17*o**3 = 0. Calculate o.
-3, -1, 2/9
Let x(z) be the second derivative of 0 - 2*z + 0*z**2 + 0*z**3 + 0*z**4 - 1/14*z**7 - 3/10*z**5 - 3/10*z**6. Suppose x(n) = 0. What is n?
-2, -1, 0
Let w be -1 + (-3)/(-3)*18/6. Factor 6*c**5 - 92/9*c**w - 2/9 + 22/9*c + 20*c**3 - 18*c**4.
2*(c - 1)**2*(3*c - 1)**3/9
Let d(u) be the third derivative of 0 + u**2 + 1/12*u**3 + 0*u + 1/240*u**5 + 1/32*u**4. Solve d(t) = 0.
-2, -1
Let z(x) = -2*x - 10. Let d be z(-7). Factor -12 + 13 + 2*c**d - c**4 - 2*c**2.
(c - 1)**2*(c + 1)**2
Let w(x) be the second derivative of 1/60*x**4 - 1/15*x**3 + 0*x**2 + x + 0 + 1/100*x**5. Factor w(a).
a*(a - 1)*(a + 2)/5
Factor 16/7*q - 4/7*q**2 + 0.
-4*q*(q - 4)/7
Let a(i) be the third derivative of 2*i**7/315 + 7*i**6/360 - i**5/90 - 13*i**2. Factor a(v).
v**2*(v + 2)*(4*v - 1)/3
Suppose 2*b - 1 = s + 3*b, 3*b + 3 = 0. Let t(z) be the third derivative of 0*z + 1/60*z**5 + 1/6*z**3 + s - z**2 + 1/12*z**4. Suppose t(q) = 0. What is q?
-1
Let n(t) be the first derivative of 5*t**3/3 + 25*t**2/2 - 30*t + 17. Determine g, given that n(g) = 0.
-6, 1
What is g in 12/5*g + 1/5*g**3 + 8/5 + 6/5*g**2 = 0?
-2
Let q(p) be the first derivative of 2*p**5/55 - 2*p**3/11 - 2*p**2/11 - 4. Factor q(a).
2*a*(a - 2)*(a + 1)**2/11
Find y, given that -10/13*y**4 - 18/13*y**2 - 2/13*y + 2*y**3 + 4/13 = 0.
-2/5, 1
Let p(o) be the first derivative of 2*o**6/27 - 16*o**5/15 + 16*o**4/3 - 256*o**3/27 - 2. Find c such that p(c) = 0.
0, 4
Let w = -274 + 7399/27. Let n(h) be the second derivative of 0*h**2 - 1/90*h**5 - 1/27*h**3 + 0 - w*h**4 + h. Factor n(u).
-2*u*(u + 1)**2/9
Let y be (-24)/(-32)*(-4)/(-9). Factor -y - 1/3*w**2 - 2/3*w.
-(w + 1)**2/3
Let d(t) be the second derivative of -t**6/120 - 11*t**5/240 - 5*t**4/48 - t**3/8 - t**2/12 + 22*t - 2. Factor d(n).
-(n + 1)**3*(3*n + 2)/12
Let j(o) be the first derivative of o**7/840 - o**6/180 - o**5/120 + o**4/12 + 4*o**3/3 + 1. Let w(q) be the third derivative of j(q). Factor w(r).
(r - 2)*(r - 1)*(r + 1)
Let a be 126/72*(-5)/(-35). Factor -a*k - 1/4*k**2 + 1/2.
-(k - 1)*(k + 2)/4
Let n be (-21)/(-3) + -2 + 2. Suppose 2*w + w - 8*w**2 + n*w**2 = 0. Calculate w.
0, 3
Let n(v) = -2*v - 19. Let w(r) = -r - 10. Let k(i) = 6*n(i) - 11*w(i). Let g be k(-6). Determine a so that 0*a - 5*a**3 - 2*a**4 - 2*a - a**3 - 6*a**g = 0.
-1, 0
Suppose -2*y - 6 = 2. Let x = -1 + y. Let w(c) = -c**2 + c - 5. Let l(f) = f**2 - f + 4. Let q(o) = x*l(o) - 4*w(o). Factor q(m).
-m*(m - 1)
Let t(f) be the third derivative of 0*f + 0*f**3 + 0 - 1/15*f**5 - 1/10*f**6 + 1/3*f**4 + f**2. Factor t(d).
-4*d*(d + 1)*(3*d - 2)
Suppose 0 = -m - 2*m - 5*l + 6, m = -l + 2. Let n be (0 - (-12)/15)/m. Factor 2/5*u**2 - 4/5*u + n.
2*(u - 1)**2/5
Let y(z) = -5*z**4 - 6*z**3 + z**2 + 9*z + 7. Let b(v) = 6*v**4 + 6*v**3 - 2*v**2 - 10*v - 8. Let x(d) = -3*b(d) - 4*y(d). Factor x(f).
2*(f - 1)*(f + 1)**2*(f + 2)
Let o(d) be the third derivative of d**5/15 + 2*d**4 + 24*d**3 + 14*d**2. What is s in o(s) = 0?
-6
Factor 1/4*q - 1/8*q**2 + 0 - 1/8*q**3.
-q*(q - 1)*(q + 2)/8
Factor 0 + 8/11*n**4 + 8/11*n**3 + 2/11*n**2 + 0*n.
2*n**2*(2*n + 1)**2/11
Suppose t - 1 = -0*t. Let q(y) be the first derivative of 5/8*y**2 - 1/2*y + t + 1/4*y**3. Solve q(c) = 0 for c.
-2, 1/3
Let q = -6 + 9. Let r be (-4)/(-2) - (-4 - 0). Factor r*j - q*j**2 + 0*j - 9*j.
-3*j*(j + 1)
Let a(o) be the second derivative of o**5/100 - o**3/10 + 3*o**2/2 + 2*o. Let j(n) be the first derivative of a(n). Factor j(g).
3*(g - 1)*(g + 1)/5
Let o = -1829/9 + 203. Let l = 5/9 + o. Factor -4/3 - l*p**2 + 4/3*p.
-(p - 2)**2/3
Let q(y) be the first derivative of -1/6*y**6 + 0*y**4 + 0*y + 1/2*y**2 + 2/3*y**3 + 3 - 2/5*y**5. Factor q(g).
-g*(g - 1)*(g + 1)**3
Let l(h) = 15*h**5 + 3*h**3 - 7*h - 11. Let b(z) = -4*z**5 - z**3 + 2*z + 3. Suppose -2*s + 0*s + 12 = 0. Let m(c) = s*l(c) + 22*b(c). Solve m(w) = 0 for w.
-1, 0, 1