f -i**6/720 + i**5/360 + i**2. Solve p(k) = 0.
0, 1
Let w(r) be the third derivative of 0 + 4*r**2 - 1/100*r**5 + 0*r + 0*r**3 + 0*r**4 - 1/50*r**6. Let w(l) = 0. Calculate l.
-1/4, 0
Determine q, given that 0 - 4*q - 1/2*q**3 - 3*q**2 = 0.
-4, -2, 0
Let r = 117/2 + -811/14. Factor -r*l**3 + 0 + 2/7*l**2 + 2/7*l**4 + 0*l.
2*l**2*(l - 1)**2/7
Let d(w) be the first derivative of w**6/1080 + w**5/360 + w**3/3 + 1. Let g(l) be the third derivative of d(l). Suppose g(k) = 0. Calculate k.
-1, 0
Let w be (9 - 6)*(-29)/(-3). Suppose 2*k**3 - w*k + 27*k + k**2 - k**2 = 0. Calculate k.
-1, 0, 1
Suppose -7 = -5*s + 48. Let z(y) = 0*y - 9*y**2 - 18 + 3 + 13*y. Let d(f) = -5*f**2 + 7*f - 8. Let j(v) = s*d(v) - 6*z(v). Solve j(b) = 0.
-2, 1
Let i(h) be the third derivative of 0*h**3 + 0*h + 4*h**2 + 0 - 1/24*h**4 + 3/40*h**5. Factor i(l).
l*(9*l - 2)/2
Let k(s) = -s. Let y(m) = 11*m + m**2 - 2*m**2 + 0*m**2. Let u(t) = -22*k(t) - 2*y(t). Let u(r) = 0. What is r?
0
Let o(t) = -t**3 + 16*t**2 + 17*t + 4. Let d be o(17). Find l such that 8/5*l**d + 8/5*l**3 - 8/5*l - 2/5 - 6/5*l**2 = 0.
-1, -1/2, 1
Let z(f) = -200*f**4 + 311*f**3 - 139*f**2 + 25*f. Let m(q) = 40*q**4 - 62*q**3 + 28*q**2 - 5*q. Let t(v) = -11*m(v) - 2*z(v). Determine j so that t(j) = 0.
0, 1/2
Suppose -10 = -3*p - 1. Solve p*h - 3*h - 2*h**5 - 2*h**4 = 0.
-1, 0
Let t(l) be the second derivative of -l**7/4200 + l**5/600 + l**3/2 - l. Let v(r) be the second derivative of t(r). Let v(z) = 0. What is z?
-1, 0, 1
Solve -18*z**4 - 4*z**4 - 15*z**4 + 7*z**4 + 60*z**3 - 40*z**2 + 5*z**5 = 0.
0, 2
Let i(x) be the third derivative of -2*x**7/735 + x**6/70 + 2*x**2. Determine l, given that i(l) = 0.
0, 3
Let b(j) be the third derivative of j**7/105 + j**6/20 - j**5/30 - j**4/4 + 52*j**2. Find w, given that b(w) = 0.
-3, -1, 0, 1
Let k(l) = l**2 - l + 1. Let y(j) = -60*j**2 - 4*j + 6. Let t(q) = 6*k(q) - y(q). Let a be t(3). Factor a*o**2 + 16 - 75*o - 21*o**3 - 93*o - 665*o**3.
-2*(7*o - 2)**3
Let l be (-8)/12 - (-4)/6. Let r = -99/2 + 50. Factor l*t - 1/2*t**2 + r.
-(t - 1)*(t + 1)/2
Suppose 20 = 4*z + z, -d + 10 = z. Let r(a) be the first derivative of 0*a + 0*a**3 + 0*a**2 + 1/2*a**4 - 1/6*a**d - 1/5*a**5 - 3. Factor r(v).
-v**3*(v - 1)*(v + 2)
Let k(x) = 4 - 4*x + 0 - 2 - 4. Let v(m) = m**2 + m + 1. Let z(c) = k(c) - 2*v(c). Factor z(q).
-2*(q + 1)*(q + 2)
Let m be -1*4 + 9/((-648)/(-400)). Determine y, given that -4/9*y**3 + 4/9*y + m*y**4 + 0 - 14/9*y**2 = 0.
-1, 0, 2/7, 1
Let v(a) = -6 - 2*a**2 + 7*a + 6*a + a**2. Let w be v(6). Factor w*u**2 + 0 + 16*u**3 + 0 - 64*u**4 + 11*u + 1.
-(u - 1)*(4*u + 1)**3
Let i(l) = l**3 + 3*l**2 - 5*l - 1. Let v be i(-4). Factor 7*f**2 + 4 - 10*f**v - 3*f - 4*f + 11*f**2 + 2*f**4 - 7*f.
2*(f - 2)*(f - 1)**3
Let k(s) be the third derivative of -s**8/84 + 2*s**7/35 - 4*s**5/15 - 10*s**2. Factor k(b).
-4*b**2*(b - 2)**2*(b + 1)
Let t(i) be the third derivative of 1/12*i**4 - 2/105*i**7 - 3*i**2 + 0*i**3 + 0*i + 1/15*i**5 - 1/15*i**6 + 1/56*i**8 + 0. Let t(f) = 0. What is f?
-1, -1/3, 0, 1
Let v(d) = 6*d**3 - 8*d**2 - 6*d + 8. Let c(t) = 19*t**3 - 24*t**2 - 19*t + 24. Let m(h) = -6*c(h) + 17*v(h). Let m(r) = 0. Calculate r.
-1, 2/3, 1
Factor -8/3*b**2 + 32/3*b + 2/9*b**3 - 128/9.
2*(b - 4)**3/9
Let w(a) = a**3 - 10*a**2 - 9*a - 22. Let l be w(11). Factor z + l + 1/2*z**2.
z*(z + 2)/2
Let r(u) = 145*u**3 + 233*u**2 + 98*u + 14. Let s = -18 + 16. Let l(k) = 1014*k**3 + 1632*k**2 + 687*k + 99. Let q(c) = s*l(c) + 15*r(c). Factor q(v).
3*(v + 1)*(7*v + 2)**2
What is l in 3*l**3 + 2*l**4 - 7*l**3 - 8*l**2 + 4*l**2 + 4*l + 2*l**4 = 0?
-1, 0, 1
Determine l so that -2/5*l**2 + 4*l - 18/5 = 0.
1, 9
Let g be (-8)/(-24) - (26/(-30))/1. Factor -g*d**2 - 6/5*d**3 - 2/5*d**4 - 2/5*d + 0.
-2*d*(d + 1)**3/5
Let l(c) be the first derivative of 1/48*c**4 + 1/12*c**3 - c + 1 - 3/80*c**5 + 0*c**2. Let u(t) be the first derivative of l(t). Find z, given that u(z) = 0.
-2/3, 0, 1
Let d(i) be the second derivative of -i**7/2520 + i**4/4 - 3*i. Let k(c) be the third derivative of d(c). Factor k(r).
-r**2
Let k(u) be the third derivative of u**7/5880 + u**6/840 + u**5/280 - u**4/8 + 4*u**2. Let o(n) be the second derivative of k(n). Factor o(c).
3*(c + 1)**2/7
Let c = -5927/7 - -847. Determine y so that c*y**2 + 0 + 2/7*y = 0.
-1, 0
Factor -228/5*q + 266/5*q**3 - 36/5 - 277/5*q**2 - 49/5*q**4.
-(q - 3)**2*(7*q + 2)**2/5
Let p(m) be the first derivative of m**4/3 + 40*m**3/27 + 2*m**2/3 + 32. What is v in p(v) = 0?
-3, -1/3, 0
Let k be 3/(-2)*(59 - 61). Determine m so that 2/5*m**4 + 0*m**k - 4/5*m**2 + 2/5 + 0*m = 0.
-1, 1
Factor -3*j**3 - 3*j**2 + 20 - j**4 - j - 20.
-j*(j + 1)**3
Let z(j) be the second derivative of j**5/140 - j**4/84 - j**3/21 - 7*j. Factor z(p).
p*(p - 2)*(p + 1)/7
Suppose -3*j + 8*j - 10 = 0. Solve -1 + o**5 - 2*o**2 - o**3 + 4*o**j - 3*o**3 - 1 + 3*o = 0.
-2, -1, 1
Let f(o) = -3*o**5 - o**4 + 3*o**3 - 3*o**2 + 4*o + 8. Let i(s) = s**5 + s**4 - s**3 - s**2 - s - 1. Let t(l) = -f(l) - 4*i(l). What is z in t(z) = 0?
-2, -1, 1
Let k = -79 - -81. What is b in -1/3*b + 2/3*b**k - 1/3 = 0?
-1/2, 1
Let v be ((-1)/((-100)/(-6)))/(-3). Let a(y) be the second derivative of 0 + v*y**5 - 2*y - 1/15*y**3 + 0*y**2 + 0*y**4. Suppose a(n) = 0. Calculate n.
-1, 0, 1
Let h be (1/(-8))/(2/((-2)/9)). Let r(g) be the third derivative of 1/180*g**5 + 3*g**2 + 0 + 0*g + 0*g**3 + h*g**4. Factor r(s).
s*(s + 1)/3
Let a(q) = -q**2 + 3*q + 2. Let o = 6 + -7. Let c(w) = -w**2 + w + 1. Let j(y) = o*a(y) + 2*c(y). Factor j(z).
-z*(z + 1)
Let i(n) = -2*n**2 + 23*n + 43. Let h be i(13). Determine t, given that 4/3*t**h + 2/3*t**5 - 4/3 - 4/3*t**3 - 14/3*t - 16/3*t**2 = 0.
-1, 2
Let q = -35/4 + 9. Let a(s) be the first derivative of 0*s**2 + q*s - 2 - 1/12*s**3. Suppose a(u) = 0. Calculate u.
-1, 1
Factor 0 - 3/2*k**2 + 3/2*k.
-3*k*(k - 1)/2
Let y(n) be the second derivative of -n**2 - 1/120*n**6 - n + 0*n**3 + 0 - 1/180*n**5 + 0*n**4. Let x(w) be the first derivative of y(w). Factor x(q).
-q**2*(3*q + 1)/3
Let a(w) be the first derivative of w**8/1008 - w**6/180 + w**4/72 + w**2/2 + 7. Let f(j) be the second derivative of a(j). Let f(m) = 0. What is m?
-1, 0, 1
Factor 12*v**2 + 5*v - 5*v**2 - 6*v**2.
v*(v + 5)
Let u(a) be the second derivative of -2*a**7/147 + 8*a**6/105 - 6*a**5/35 + 4*a**4/21 - 2*a**3/21 + 19*a. Let u(b) = 0. Calculate b.
0, 1
Let d(b) be the first derivative of -b**4/4 + b**3 - 3*b**2/2 + b + 19. Let d(f) = 0. What is f?
1
Let n be (-3 - 0)*12/(-18). Factor 3*k**4 - n*k**4 + k + 3 - k**3 - 3*k**2 - 1.
(k - 2)*(k - 1)*(k + 1)**2
Factor -9/4 + 3*o**3 + 6*o + 45/4*o**2.
3*(o + 1)*(o + 3)*(4*o - 1)/4
Let q(s) be the third derivative of 0*s + 1/45*s**5 + 1/1008*s**8 + 2/315*s**7 + 2*s**2 + 0 + 1/60*s**6 + 1/72*s**4 + 0*s**3. Find b such that q(b) = 0.
-1, 0
Let n(a) = -110*a**3 - 615*a**2 - 945*a - 45. Let m(i) = 5*i**3 + 28*i**2 + 43*i + 2. Let z(o) = 45*m(o) + 2*n(o). Factor z(p).
5*p*(p + 3)**2
Let l be 4*(-1)/((-4)/16). Suppose -4*w + 0*s + s + 16 = 0, 4*w - l = -4*s. Let 10/3*u**w - 2/3*u**2 + 2*u**3 - 2/3*u + 4/3*u**5 + 0 = 0. Calculate u.
-1, 0, 1/2
Let f(q) = -2*q**2 + 6*q - 8. Let r(x) = -1. Let v = -7 - -6. Let w(u) = v*f(u) + 4*r(u). Determine a, given that w(a) = 0.
1, 2
Solve 6/7*z**3 + 12/7*z**2 + 6/7*z + 0 = 0 for z.
-1, 0
Let s(c) = 9*c**4 + 15*c**3 + 24*c**2 + 6*c + 6. Let o(h) = -8*h**4 - 15*h**3 - 24*h**2 - 7*h - 5. Let l(b) = -6*o(b) - 5*s(b). Factor l(k).
3*k*(k + 1)*(k + 2)**2
Let 0*l**4 + 0*l**2 + 0 + 0*l - 1/4*l**5 + l**3 = 0. What is l?
-2, 0, 2
Let r(n) be the third derivative of 0 + 49/120*n**6 + 0*n - n**4 - 7/20*n**5 - 4*n**2 - 2/3*n**3. Factor r(a).
(a - 1)*(7*a + 2)**2
Determine n so that -4*n**3 - n**5 + 12*n**4 + 8*n - n**5 - 12*n**2 - 2*n**5 = 0.
-1, 0, 1, 2
Let q(j) = -10*j**3 - 3*j + 2. Let p be q(1). Let z be (-2)/12 - p/66. Suppose -1/3*u**4 + 1/3*u**3 + z*u + 2/3*u**2 + 0 = 0. What is u?
-1, 0, 2
Let j(i) = -i**2 - 7*i + 4. Let n(t) = -t**2 - 13*t + 7. Let r(s) = -s - 3. Let y be r(-7). Let m(p) = y*n(p) - 7*j(p). Find a, given that m(a) = 0.
0, 1
Let l(f) be the second derivative of 3*f + 1/21*f**3 + 0 + 1/42*f**4 + 0*f**2. Let l(c) = 0. Calculate c.
-1, 0
Let l(q) be the first derivative of 2*q**3/27 - 10*q**2/9 + 50*q/9 - 7. Suppose l(b) = 0. 