uch that 0 + 0*d**4 + 0*d**2 + 2/3*d**3 - 1/3*d - 1/3*d**5 = 0.
-1, 0, 1
Let p be (-8)/((-1)/(-1)*-1). Factor -4*m - 4*m**2 + 4*m**2 + p*m - 2*m**2.
-2*m*(m - 2)
Let u(y) be the second derivative of 0 + 2*y + 1/10*y**2 + 1/60*y**4 + 1/15*y**3. Factor u(c).
(c + 1)**2/5
Let y(c) = -6*c**3 + 6*c + 2. Let z(j) = j**3 - j - 1. Let g(k) = y(k) + 2*z(k). Factor g(l).
-4*l*(l - 1)*(l + 1)
Let j = -4 + 2. Let h be (-1)/1 + j + 6. Factor 4*a**5 - 5*a**4 + 0*a**h + 2*a**3 - a**5.
a**3*(a - 1)*(3*a - 2)
Suppose 15*l**2 + 64 - 64 + 5*l**3 - 20*l = 0. What is l?
-4, 0, 1
Let g(w) be the second derivative of 2/5*w**2 - w + 1/15*w**3 + 0 - 1/3*w**4. What is k in g(k) = 0?
-2/5, 1/2
Let r(i) be the third derivative of i**8/2688 + i**7/336 + 3*i**6/320 + 7*i**5/480 + i**4/96 + 15*i**2. Factor r(l).
l*(l + 1)**3*(l + 2)/8
Let d(o) be the second derivative of 9*o - 3/16*o**4 + 1/40*o**6 + 1/4*o**3 + 0*o**5 + 0*o**2 + 0. Find f, given that d(f) = 0.
-2, 0, 1
Let h(z) be the second derivative of z**4/3 + 14*z**3/3 + 12*z**2 - z + 6. Find w such that h(w) = 0.
-6, -1
Let f(l) be the second derivative of l**7/14 + 3*l**6/5 + 39*l**5/20 + 3*l**4 + 2*l**3 + 5*l. Determine x, given that f(x) = 0.
-2, -1, 0
Let p(v) be the second derivative of -2*v**6/5 - 11*v**5/5 - 4*v**4 - 8*v**3/3 + 2*v. Let p(w) = 0. What is w?
-2, -1, -2/3, 0
Let z(d) = -4*d**2 + 122*d - 794. Let o(l) = l - 1. Let c(y) = -10*o(y) + z(y). Solve c(j) = 0 for j.
14
Let s(h) be the second derivative of 0 + 1/25*h**5 - 1/15*h**3 + 0*h**2 + 0*h**4 - 1/105*h**7 + 0*h**6 - 2*h. Determine a, given that s(a) = 0.
-1, 0, 1
What is m in -2*m + 0*m + m + 2 + 0*m + m**3 - 2*m**2 = 0?
-1, 1, 2
Let k(v) be the third derivative of 1/8*v**4 + 0 + 0*v - 1/4*v**3 + 3*v**2 - 1/40*v**5. Factor k(z).
-3*(z - 1)**2/2
Let m(b) be the third derivative of -5*b**8/1008 + b**7/126 + b**6/72 - b**5/36 + 11*b**2. Factor m(j).
-5*j**2*(j - 1)**2*(j + 1)/3
Let -10*k**2 - 5*k**3 + 15*k - k - 6 + 7*k**3 = 0. Calculate k.
1, 3
Let i(y) be the second derivative of -y**5/80 + 7*y**4/144 + y**3/12 + 6*y. Factor i(q).
-q*(q - 3)*(3*q + 2)/12
Suppose -2*t + 1 = -3*d + 2*d, 5*d = -3*t + 34. Determine k, given that -k**t + 8*k**2 - 19*k**2 + 14*k**2 = 0.
0, 3
Factor 12/5*d + 2/5*d**2 + 18/5.
2*(d + 3)**2/5
Let h(m) = 2*m**2 + 9*m - 5. Let q be h(-5). Factor 0*b + q + 1/2*b**3 - 1/2*b**2.
b**2*(b - 1)/2
Let v(l) be the second derivative of -l**6/2 - l**5/4 + 5*l**4/4 + 5*l**3/6 + 8*l. Factor v(d).
-5*d*(d - 1)*(d + 1)*(3*d + 1)
Let z(a) be the first derivative of a**8/5880 - a**7/588 + a**6/140 - a**5/60 + a**4/42 - 5*a**3/3 + 3. Let k(d) be the third derivative of z(d). Factor k(u).
2*(u - 2)*(u - 1)**3/7
Let z(t) be the second derivative of -t**4/48 + t**3/8 + 5*t**2/4 + 2*t. Factor z(h).
-(h - 5)*(h + 2)/4
Let h = 192 - -37. Let u = h + -1599/7. Factor -6/7*s**4 + 2/7*s**2 + 0 - u*s**3 + 0*s.
-2*s**2*(s + 1)*(3*s - 1)/7
Let u(t) = -2*t**3 - t**2 + 1. Let d(w) = 43*w**3 + 64*w**2 - 20*w - 4. Let i(a) = -d(a) - 4*u(a). Determine p so that i(p) = 0.
-2, 0, 2/7
Suppose 11*m**2 - 6*m**5 - 7*m**4 - 7*m**2 + 3*m**5 - 5*m**3 - 5*m**2 = 0. What is m?
-1, -1/3, 0
Let z(n) = -10*n**3 + 10*n**2 + 15*n - 5. Let t(w) = 11*w**3 - 10*w**2 - 15*w + 6. Let k(o) = 5*t(o) + 6*z(o). Factor k(y).
-5*y*(y - 3)*(y + 1)
Let j(u) be the second derivative of 1/10*u**4 + 11*u + 0 - 3/5*u**2 - 1/10*u**3 + 3/100*u**5. Factor j(l).
3*(l - 1)*(l + 1)*(l + 2)/5
Let v = 568 - 565. Solve -39/7*u**v - 3/7*u**5 - 12/7*u - 36/7*u**2 + 0 - 18/7*u**4 = 0.
-2, -1, 0
Let x(t) be the first derivative of t**5 - 5*t**4/2 - 5*t**3 + 20*t**2 - 20*t + 44. Factor x(k).
5*(k - 2)*(k - 1)**2*(k + 2)
Let u(b) = -2*b + 3. Let z be u(2). Let n = 1 + z. Solve -1/5*o**3 + n + 1/5*o + 0*o**2 = 0 for o.
-1, 0, 1
Suppose y**2 - y**4 - 2*y**2 + 25*y**3 - 27*y**3 = 0. What is y?
-1, 0
Suppose 2*y = -2*o + 4, 4*o = -2*y + 6*y - 8. Suppose -d + 3 = -o. Factor 14/9*z**d + 0*z - 4/9*z**2 - 10/9*z**4 + 0.
-2*z**2*(z - 1)*(5*z - 2)/9
Factor -2/5*j**4 + 8/5 + 22/5*j + 2/5*j**3 + 18/5*j**2.
-2*(j - 4)*(j + 1)**3/5
Let o(l) be the third derivative of l**8/120960 - l**6/4320 - l**5/10 - 3*l**2. Let p(f) be the third derivative of o(f). Factor p(m).
(m - 1)*(m + 1)/6
Let t(a) be the third derivative of a**5/140 + a**4/56 - a**3/7 - 3*a**2. Determine l so that t(l) = 0.
-2, 1
Let y(r) be the third derivative of r**7/231 + 2*r**6/165 + r**5/330 - r**4/66 + 12*r**2. Factor y(w).
2*w*(w + 1)**2*(5*w - 2)/11
Let s = 27/188 + 5/47. Factor -1 + w - s*w**2.
-(w - 2)**2/4
Suppose 6*d - 3*d = z + 1, 2*d - 3*z = -11. Let r(g) be the third derivative of 3/80*g**5 - 1/12*g**3 + 0 + 2*g**d + 0*g - 7/96*g**4. Let r(p) = 0. Calculate p.
-2/9, 1
Let l(o) = o**3 - 6*o**2 + 2. Let t be l(6). Let d(c) be the second derivative of -3*c + 0 - 1/21*c**3 - 1/7*c**t + 1/42*c**4 + 1/70*c**5. Factor d(r).
2*(r - 1)*(r + 1)**2/7
Let l be 7/35 + (-3)/18. Let s(m) be the second derivative of 0 + 0*m**6 + 0*m**2 + l*m**5 + 0*m**3 + 0*m**4 - 2*m - 1/63*m**7. Factor s(w).
-2*w**3*(w - 1)*(w + 1)/3
Let l(r) be the third derivative of r**8/1680 - r**6/150 - r**5/150 + r**4/40 + r**3/15 + 8*r**2. Determine c so that l(c) = 0.
-1, 1, 2
Let g(p) be the third derivative of 0 - 1/80*p**6 - 1/2*p**3 + 4*p**2 + 0*p + 1/20*p**5 + 1/16*p**4. Solve g(r) = 0 for r.
-1, 1, 2
Let i(g) = -g**4 - 3*g**3 + 4*g**2. Let k(n) = -n**4 - 4*n**3 + 5*n**2. Let m(u) = 4*i(u) - 3*k(u). Factor m(a).
-a**2*(a - 1)*(a + 1)
Let m(l) be the second derivative of 0*l**2 + 0 + 2/21*l**3 + 1/105*l**6 + l + 5/42*l**4 + 2/35*l**5. Let m(q) = 0. What is q?
-2, -1, 0
Let n = -93 - -287/3. Suppose 8/3*f + n + 2/3*f**2 = 0. What is f?
-2
Suppose 2*i - 7 = -5*l + 9, 25 = 5*l + 5*i. Let y(m) be the first derivative of -2/9*m**3 - l + 0*m - 2/3*m**2. Solve y(r) = 0.
-2, 0
Let -6/13*u**3 + 6/13*u**4 + 0*u + 2/13*u**2 + 0 - 2/13*u**5 = 0. What is u?
0, 1
Let p(j) be the third derivative of -j**8/168 + j**7/105 + j**6/20 - j**5/6 + j**4/6 + 7*j**2. Find k, given that p(k) = 0.
-2, 0, 1
Let h(g) be the second derivative of -g**5/50 - g**4/30 + g**3/15 + g**2/5 - 36*g. Solve h(q) = 0 for q.
-1, 1
Let c(h) = h**3 - 11*h**2 - 40*h - 26. Let m be c(14). Factor -r + 1/2*r**m + 1/2.
(r - 1)**2/2
Let g = -159 + 3817/24. Let p(h) be the third derivative of 1/6*h**4 + 2/3*h**3 + g*h**6 + h**2 + 0*h - 13/60*h**5 + 0. Factor p(f).
(f - 2)*(f - 1)*(5*f + 2)
Let g(w) be the first derivative of 1/14*w**4 - 2/35*w**5 + 0*w + 0*w**2 + 0*w**3 + 4. Factor g(v).
-2*v**3*(v - 1)/7
Let a be (-6)/(-18)*18/2. Suppose i - f = 0, a*i + i - 6 = f. Factor 4/7*h + 10/7*h**3 - 2*h**i + 0.
2*h*(h - 1)*(5*h - 2)/7
Find c such that 0*c + 0 - 4/9*c**2 + 2/9*c**4 + 2/9*c**3 = 0.
-2, 0, 1
Let s(n) be the third derivative of n**7/315 - n**6/360 - n**5/180 + 6*n**2. Factor s(b).
b**2*(b - 1)*(2*b + 1)/3
Let m(d) be the third derivative of -d**8/168 - 2*d**7/105 + d**6/20 + 4*d**5/15 + d**4/3 - 27*d**2. Solve m(y) = 0 for y.
-2, -1, 0, 2
Suppose -p - 8 = -4*g, 5*g = -2*p - 10 + 33. Suppose g*c - 3*n - 12 = 0, 2*n = 3*c - 2*n - 13. Solve -1/3*h + h**2 - h**c + 0 + 1/3*h**4 = 0.
0, 1
Factor -8/5*f + 0 - 2/5*f**5 - 12/5*f**4 - 24/5*f**2 - 26/5*f**3.
-2*f*(f + 1)**2*(f + 2)**2/5
Let l(v) be the third derivative of v**7/1155 - v**6/165 + v**5/55 - v**4/33 + v**3/33 - 5*v**2. Find r such that l(r) = 0.
1
Let y(c) be the third derivative of 1/35*c**6 + 0*c + 0 + 3/140*c**5 + 1/168*c**4 + 0*c**3 + 5*c**2 + 8/735*c**7. Suppose y(s) = 0. Calculate s.
-1, -1/4, 0
Let f(y) be the second derivative of -y**6/180 - 7*y**5/300 - y**4/30 + 3*y**3/2 - 4*y. Let n(a) be the second derivative of f(a). Factor n(w).
-2*(w + 1)*(5*w + 2)/5
Suppose 14*u = 9*u + 25. Let v(l) be the first derivative of -1/4*l**4 - 3 + 0*l**2 - 4/15*l**u + 0*l + 1/9*l**3. Factor v(d).
-d**2*(d + 1)*(4*d - 1)/3
Let b be (-5)/(-15)*-1*-9. What is z in 0 - 2*z**4 - 2/3*z**2 + 2/3*z**5 + 2*z**b + 0*z = 0?
0, 1
Solve -1/2*f**4 + 0*f**3 + 0 + 0*f + 0*f**2 - 1/2*f**5 = 0.
-1, 0
Let l(j) be the third derivative of -j**7/840 + j**5/240 - 27*j**2. Factor l(u).
-u**2*(u - 1)*(u + 1)/4
Suppose -20 = -12*k + 2*k. Determine w so that 0 + 2/7*w**5 - 2/7*w**k + 2/7*w**4 - 2/7*w**3 + 0*w = 0.
-1, 0, 1
Let h be -5 - (46/(-8) - (-30)/120). Factor -x + 0 - h*x**2.
-x*(x + 2)/2
Let n(r)