) be the third derivative of -k**7/840 - k**6/120 - k**5/48 - k**4/48 + 66*k**2. What is m in t(m) = 0?
-2, -1, 0
Let w(u) = -u**3 + 6*u**2 - 7*u - 1. Let h be w(4). Suppose h*p + 3*z = -2*z + 4, -5*z = 5. Find a, given that 1/2*a**2 - 1/2 + 1/2*a**p - 1/2*a = 0.
-1, 1
Let g(n) = -n**4 - 20*n**3 - 89*n**2 - 92*n - 32. Let h(u) = 2*u**4 + 50*u**3 + 222*u**2 + 230*u + 80. Let v(z) = -12*g(z) - 5*h(z). Let v(s) = 0. Calculate s.
-1, 8
Let b(j) = j**2 - 5*j - 6. Let f be (-2)/1 + (12 - 4). Let d be b(f). Factor 0*v**3 + d - 1/2*v**2 + 1/2*v**4 + 1/4*v - 1/4*v**5.
-v*(v - 1)**3*(v + 1)/4
Let i(m) be the third derivative of -7*m**5/20 - 15*m**4/4 - 4*m**3 - 19*m**2. Factor i(s).
-3*(s + 4)*(7*s + 2)
Let 8*h - 6*h**2 + 6*h**2 - 12*h**2 = 0. Calculate h.
0, 2/3
Let o(v) be the second derivative of -2*v**5/85 - 13*v**4/102 - 11*v**3/51 - 2*v**2/17 - v. Determine m so that o(m) = 0.
-2, -1, -1/4
Let g(l) be the first derivative of l**5/210 - l**4/42 - 7*l**2/2 - 2. Let x(o) be the second derivative of g(o). Factor x(n).
2*n*(n - 2)/7
Suppose -5*r = -r - 3*u - 4, 0 = r - 2*u + 4. Find f such that 3/4*f**r + 7/4*f**2 + 1/2*f + 2*f**3 + 0 = 0.
-1, -2/3, 0
Let g be (-3)/(42/(-17)) + (-8)/(-28). Factor 3/2*o**2 - g + 0*o.
3*(o - 1)*(o + 1)/2
Let w be ((-4)/(-20))/((-8)/(-15)). Let o = w - 5/56. Factor 0*z + 0 + o*z**2.
2*z**2/7
Factor 0 - 2/11*y + 2/11*y**3 + 2/11*y**2 - 2/11*y**4.
-2*y*(y - 1)**2*(y + 1)/11
Suppose i - 2 = 3*i - 2*c, 0 = 4*i + 5*c - 32. Factor 4 + 3*a - 17*a**i + 13*a - 3*a**2 - 8*a**3 + 8*a**2.
-(a - 1)*(5*a + 2)**2
Let h be 12/14*(-2)/(-3). Let d be (-2)/(-4) + (-6)/28. Find r such that -d - 2/7*r**2 - h*r = 0.
-1
Let m(n) be the third derivative of 0*n**5 + 0*n - 3*n**2 + 0*n**3 - 1/315*n**7 + 1/180*n**6 + 0 + 0*n**4. Factor m(y).
-2*y**3*(y - 1)/3
Solve 8*y**4 + 11*y**3 + 56*y**2 + 34*y**3 + 6 + 2 + 36*y - 9*y**3 = 0.
-2, -1, -1/2
Let q(c) be the first derivative of c**6/12 + 7*c**5/30 + 5*c**4/24 + c**3/18 + 31. Factor q(w).
w**2*(w + 1)**2*(3*w + 1)/6
Let f(n) be the first derivative of 15*n**4/28 + 8*n**3/7 - 6*n**2/7 - 6. Find l, given that f(l) = 0.
-2, 0, 2/5
Let r(l) = -l**3 + l**2 + l - 1. Let k(s) = -2*s**2 + 0*s**2 + 4 - 2*s + s**3 + s**2 - 2. Let t(i) = k(i) + 2*r(i). Factor t(v).
-v**2*(v - 1)
Find x such that 0 + 1/4*x**3 + 3/4*x**2 + 0*x = 0.
-3, 0
Let b(s) = 8*s - 4. Let v(n) = -n**3 - 15*n + 7. Let o(c) = -9*b(c) - 4*v(c). Suppose o(j) = 0. What is j?
-2, 1
Determine m so that 4/5*m**2 - 4/5 - 2/5*m**3 + 2/5*m = 0.
-1, 1, 2
Let k be (0/(-1) - 2)*(-11)/11. Determine t, given that 1/5*t**k + 2/5*t + 0 = 0.
-2, 0
Let s = -57 + 173/3. Factor -s*z - 2/3*z**2 + 0.
-2*z*(z + 1)/3
Factor -2*d**3 - 3*d**2 - 2*d - 1/2 - 1/2*d**4.
-(d + 1)**4/2
Factor 446 - 19*u**2 + 25*u**2 + 54*u**2 + 54 + 300*u + 4*u**3.
4*(u + 5)**3
Suppose 10 + 7 = i - 5*h, 2*h + 12 = 3*i. Find b, given that 4/7 + 1/7*b**i + 4/7*b = 0.
-2
Let p be (-4)/(-5)*(-4)/(440/(-25)). Factor -2/11*t**2 + 2/11*t - 2/11*t**3 + p.
-2*(t - 1)*(t + 1)**2/11
Suppose -75 = 8*q - 11*q. Let j be -3 + 0 + q/7. Factor 0*m**3 - j*m**2 + 4/7*m**4 + 2/7*m - 2/7*m**5 + 0.
-2*m*(m - 1)**3*(m + 1)/7
Let i(y) = -3*y**4 + 3*y**3 - 9*y**2 + 5. Let m(n) = -5*n**4 + 5*n**3 - 14*n**2 + 8. Let u(z) = 8*i(z) - 5*m(z). Factor u(a).
a**2*(a - 2)*(a + 1)
Let g be 100/45 + (-16)/(-9) + -2. Solve 1/2*u**g + 0*u - 1/2 = 0.
-1, 1
Let v(n) be the third derivative of -5/96*n**4 + 0*n + 0 + 1/480*n**6 + 1/240*n**5 + 1/8*n**3 + 9*n**2. Determine c so that v(c) = 0.
-3, 1
Let g(p) be the second derivative of p**6/15 + p**5/40 - p**4/6 - p**3/12 + 8*p. Let g(f) = 0. Calculate f.
-1, -1/4, 0, 1
Suppose -5*d = 4*l - 0 + 8, 2*d + 8 = 0. Suppose -2*n + 3*o = -6, n - 2*o = 3*o + l. Factor 0 + 2*u**2 - 2 - 4*u + u**3 + n*u**3.
2*(u - 1)*(u + 1)*(2*u + 1)
Let b(n) = n**2 + 14*n + 3. Let o be b(-13). Let g be (-3 + 4)/(o/(-6)). Let 0*k**2 + 3/5*k**4 - g*k**3 + 0*k + 0 = 0. What is k?
0, 1
Let u(t) be the second derivative of -t**4/16 + t**3/4 - 3*t**2/8 + 7*t. Factor u(s).
-3*(s - 1)**2/4
Let m(d) = d**2 + d - 1. Let p(h) = -h**3 - 3*h**2 - h + 3. Let c(j) = -2*m(j) - p(j). Solve c(u) = 0 for u.
-1, 1
Let v = 8 + -7. Let b be 28/(-35) - (-2)/v. Suppose -2/5*q**3 + 6/5*q**2 - b*q + 2/5 = 0. Calculate q.
1
Let i(a) be the third derivative of a**6/8 - 5*a**5/12 - 5*a**4/6 + 10*a**3/3 - 2*a**2. Factor i(y).
5*(y - 2)*(y + 1)*(3*y - 2)
Let a(u) = -34*u**4 - 6*u**3 + 20*u**2 + 20*u. Let q(l) = -7*l**4 - l**3 + 4*l**2 + 4*l. Let y(z) = -3*a(z) + 14*q(z). Factor y(c).
4*c*(c - 1)*(c + 1)**2
Factor -144/5*r**2 + 32/5*r**3 - 8/5 + 66/5*r.
2*(r - 4)*(4*r - 1)**2/5
Find f, given that -2/9*f**2 - 2/3*f + 0 = 0.
-3, 0
Let i(u) = u**3 + 7*u**2 - 9*u - 6. Let w be i(-8). Factor -12*o - 2*o**3 - o**3 + 9*o**2 - 21*o**w.
-3*o*(o + 2)**2
Solve 2/9*a**4 + 8/9 + 26/9*a**2 - 4/3*a**3 - 8/3*a = 0 for a.
1, 2
Let v(l) = -2*l**4 - 3*l**3 + 2*l**2 - 3*l - 3. Let z(j) = -j**4 - 1 + j**2 - 2*j - 2 + 1 - 2*j**3. Let k(q) = 2*v(q) - 3*z(q). Factor k(o).
-o**2*(o - 1)*(o + 1)
Let n(x) = 6*x**2 - x**3 - x + 3*x + 0*x**3 - 9. Let d be n(6). Factor -4*p**4 - 2*p**4 - p**2 - 6*p**d - p**2 - 2*p**5.
-2*p**2*(p + 1)**3
Let l(g) be the third derivative of g**6/240 + 3*g**5/80 + g**4/8 - g**3/2 - 2*g**2. Let f(s) be the first derivative of l(s). Let f(q) = 0. Calculate q.
-2, -1
Let a(v) be the third derivative of -1/36*v**4 - 3*v**2 + 0*v**3 + 0*v + 0 + 1/90*v**5. Let a(n) = 0. Calculate n.
0, 1
Let k(c) be the third derivative of 0*c - 1/245*c**7 + 0*c**4 + 0 + 0*c**3 + 1/1176*c**8 - c**2 - 1/210*c**5 + 1/140*c**6. Solve k(x) = 0.
0, 1
Let h(j) be the first derivative of -2*j**3/21 - 3*j**2/7 - 4*j/7 - 14. Find m, given that h(m) = 0.
-2, -1
Suppose 2*v = -50 + 14. Let l be (1/v)/((-2)/8). Find b such that -2/9*b**2 + 4/9*b - l = 0.
1
Factor 0 + 1/2*g**2 + 0*g - 1/4*g**3 - 1/4*g**4.
-g**2*(g - 1)*(g + 2)/4
Suppose -3*w = -0*w - 6. Let r be (2 + -3)/((-7)/14). Factor w*f**2 - 3 - f**4 + 0*f**4 + r.
-(f - 1)**2*(f + 1)**2
Let z(t) be the first derivative of -4 + 8/15*t**3 + 4/25*t**5 + 1/5*t**2 + 0*t + 1/2*t**4. Solve z(d) = 0.
-1, -1/2, 0
Factor -1/6*v**2 + 0 + 1/6*v**3 + 0*v.
v**2*(v - 1)/6
Let i be ((-1)/(-15))/((-30)/(-75)). Let w(r) be the second derivative of 0*r**2 + i*r**4 + 0 + 1/3*r**3 + 3*r. Suppose w(p) = 0. Calculate p.
-1, 0
Let n be 69/(-6) - (-2)/(-4). Let q be n/9*6/(-4). Factor 1/2*t**3 + 0 + 0*t - 1/4*t**q - 1/4*t**4.
-t**2*(t - 1)**2/4
Let d = 9 + -7. Let x(u) = u**2 + 1. Let f(v) = 119*v**2 + 44*v + 2. Let m(q) = d*x(q) + f(q). Factor m(r).
(11*r + 2)**2
Factor -2/5 - 4/5*u**2 + 0*u**3 - 16/15*u + 2/15*u**4.
2*(u - 3)*(u + 1)**3/15
Let i(v) = 27*v + 29. Let m be i(-1). Factor 1/5*t**m + 0 + 2/5*t.
t*(t + 2)/5
Factor -6/7*s**4 + 2/21*s**5 + 10/7*s**3 + 50/21*s**2 + 0*s + 0.
2*s**2*(s - 5)**2*(s + 1)/21
Let d(o) be the first derivative of o**6/8 - 9*o**5/20 + 3*o**4/8 + 55. Determine n, given that d(n) = 0.
0, 1, 2
Let 4/5 + 2*n - 2/5*n**3 + 6/5*n**2 - 2/5*n**4 = 0. Calculate n.
-1, 2
Let d = -38 + 54. Factor -3*l**5 + 0*l**5 + 10*l**5 + 2*l**2 + 11*l**3 + d*l**4.
l**2*(l + 1)**2*(7*l + 2)
What is g in -2/3*g**2 + 0 - 2/3*g**3 + 0*g = 0?
-1, 0
Let w = -2 + 6. Suppose 4*t**2 + 0 - 7*t**3 + t - 2 - 22*t**w + 24*t**5 + 2 = 0. What is t?
-1/3, -1/4, 0, 1/2, 1
Suppose 4 - 5 = -k. Suppose 13 = 3*x + k. Factor 2*l**2 - 3 + 3 - 2*l**4 + 0*l**3 - 4*l**3 + x*l.
-2*l*(l - 1)*(l + 1)*(l + 2)
Let q(x) = -7*x**2 + 6*x - 3. Let y(c) = 27*c**2 - 24*c + 12. Let d(t) = -t + 7. Let v be d(11). Let o(n) = v*y(n) - 15*q(n). Factor o(w).
-3*(w - 1)**2
Let o(a) be the second derivative of 0*a**3 + a**2 + 8*a + 0 - 1/24*a**4. What is z in o(z) = 0?
-2, 2
Let d(i) be the first derivative of -1/3*i**4 + 2/9*i**3 + 0*i + 0*i**2 + 2/15*i**5 - 2. Factor d(s).
2*s**2*(s - 1)**2/3
Let c = 77 + -72. Let t(o) be the third derivative of 4/15*o**3 + 0*o + 0 + 2/15*o**4 - 3*o**2 + 1/50*o**c. Find j, given that t(j) = 0.
-2, -2/3
Let j(o) be the third derivative of o**5/300 - o**4/120 - 39*o**2. Factor j(f).
f*(f - 1)/5
Let g(i) be the third derivative of -2*i**7/105 - 7*i**6/15 - 11*i**5/5 + 56*i**4/3 - 128*i**3/3 + 13*i**2. Determine v so that g(v) = 0.
-8, 1
Let c(i) be the first derivative of 0*i**2 + 0*i - 2/25*i**5 + 0*i**3 + 8 + 1/10*i**4. Find r, given that 