e third derivative of -h**5/180 + h**4/12 - h**3/2 - 2*h**2. Let k(t) = 0. Calculate t.
3
Let u = 39657/7 - 5656. Let c = u + -9. Find d such that 2/7*d**2 + 0 + c*d = 0.
-1, 0
Let x = -24 + 27. Let w(h) be the second derivative of 0 - 1/9*h**x + 0*h**2 - h - 1/18*h**4. Factor w(o).
-2*o*(o + 1)/3
Let v(d) be the third derivative of 0*d + 1/60*d**6 + 1/10*d**5 + 0 + 1/3*d**3 + 3*d**2 + 1/4*d**4. Factor v(i).
2*(i + 1)**3
Suppose -7*i = -3*i + 2*m + 16, -2*i + m - 16 = 0. Let y = i + 12. Factor -3 + 16*u - y*u**2 - 8 + 3.
-2*(u - 2)*(3*u - 2)
Let i(t) be the second derivative of -3*t**7/70 + t**6/10 + t**5/4 - t**4/4 - 2*t**2 + 3*t. Let n(x) be the first derivative of i(x). What is a in n(a) = 0?
-1, 0, 1/3, 2
Let x = 33 - 29. Let s(w) be the first derivative of 1 + 4/9*w**3 - 4/3*w - 5/3*w**2 + 5/6*w**x. Suppose s(v) = 0. Calculate v.
-1, -2/5, 1
Factor -5/4*u**2 - 3/4 + 7/4*u + 1/4*u**3.
(u - 3)*(u - 1)**2/4
Let k(q) be the third derivative of q**8/2240 - q**7/420 + q**6/240 + 5*q**4/24 + 3*q**2. Let t(w) be the second derivative of k(w). Factor t(o).
3*o*(o - 1)**2
Suppose 0 = 2*y + 319 - 327. Suppose -6/7*q - 6/7*q**y + 4/7 + 2*q**3 - 6/7*q**2 = 0. What is q?
-2/3, 1
Let s(q) be the third derivative of -q**6/40 + q**5/10 + q**4/8 - q**3 - 11*q**2. Factor s(u).
-3*(u - 2)*(u - 1)*(u + 1)
Let q(f) be the second derivative of -f**4/3 - 4*f**3/3 - 4*f. Determine n so that q(n) = 0.
-2, 0
Let b = 36 - 33. Let r(y) be the third derivative of 0*y**4 - 1/360*y**6 - 4*y**2 + 1/180*y**5 + 0*y + 0 + 0*y**b. Factor r(q).
-q**2*(q - 1)/3
Let j = -1567049/9 + 173885. Let l = 232 + j. Find o such that 2/9*o**5 - l*o**3 + 2/9*o + 0*o**2 + 0 + 0*o**4 = 0.
-1, 0, 1
Let n(q) = q**2 - 3*q + 2. Let g be n(3). Let x = 8 - 4. Determine t, given that 2*t**2 - 8*t**2 + 4*t + x*t**g = 0.
0, 2
Let o(l) be the first derivative of -4/9*l**3 + 5 + 0*l - 1/3*l**2. Factor o(s).
-2*s*(2*s + 1)/3
Suppose 29*g + g**2 + g**4 - 29*g + 2*g**3 = 0. What is g?
-1, 0
Let k(p) be the second derivative of -p**4/12 + p**3/6 - 3*p. Factor k(d).
-d*(d - 1)
Factor 0 - 4/5*j - 12/5*j**2 + 7/5*j**3.
j*(j - 2)*(7*j + 2)/5
Let g(d) be the first derivative of -d**4/12 + 2*d**3/3 - 2*d**2 + 7*d + 9. Let i(o) be the first derivative of g(o). Factor i(f).
-(f - 2)**2
Factor -6/7 - 8/7*t - 2/7*t**2.
-2*(t + 1)*(t + 3)/7
Let r(u) = u**2 + u + 1. Let k(o) = 5*o**2 + 2*o + 2. Suppose -16 = -i - 2*j, 3*i - 5*i + 2*j + 2 = 0. Let x(s) = i*r(s) - k(s). Find a such that x(a) = 0.
-2
Let r(o) be the second derivative of 2*o**6/15 + o**5/5 - 2*o**4 - 13*o. Let r(s) = 0. Calculate s.
-3, 0, 2
Let t(j) be the third derivative of 0*j**3 + 0*j + 2*j**2 - 1/120*j**5 + 0*j**4 - 7/480*j**6 + 0 + 1/210*j**7. Suppose t(r) = 0. Calculate r.
-1/4, 0, 2
Factor -2/7*m**3 + 6/7*m**2 + 0 - 4/7*m.
-2*m*(m - 2)*(m - 1)/7
Let p be (-12)/(-3) - (-6 - -8). Let m(x) be the third derivative of 1/120*x**6 - 1/24*x**4 + 2*x**p + 0*x + 0 + 1/60*x**5 - 1/6*x**3. Factor m(h).
(h - 1)*(h + 1)**2
Let m(n) be the first derivative of 1/15*n**3 - 1/25*n**5 - 4 - 1/20*n**4 + 1/30*n**6 + 0*n**2 + 0*n. Factor m(s).
s**2*(s - 1)**2*(s + 1)/5
Factor -12/5*q**2 - 3/5*q**3 - 12/5*q + 0.
-3*q*(q + 2)**2/5
Let s(m) = -m**3 - m. Suppose 6*d + 5 = d. Let u be s(d). Find r such that -1/2*r**3 - 1/2*r - r**u + 0 = 0.
-1, 0
Suppose -3 = -7*c + 4*c. Suppose -3*k - 4*m = 2*k - 14, -k + c = -m. Factor 7*l + 2*l**k - 8*l - l**2.
l*(l - 1)
Determine b so that -1/5*b**2 - 1/5*b**3 + 1/5*b**4 + 0 + 1/5*b = 0.
-1, 0, 1
Suppose 0*t = t - 120. Suppose -3*f - t = -7*f. Solve -8*i**5 + 28 - f*i**3 + 26*i**4 - 28 - 2*i + 14*i**2 = 0 for i.
0, 1/4, 1
Let w(a) be the third derivative of -a**8/70560 - 7*a**5/60 - 4*a**2. Let r(b) be the third derivative of w(b). Let r(x) = 0. Calculate x.
0
Let o(n) = n**3 - 5*n**2 + 4*n + 2. Let i = 4 + 0. Let w be o(i). Find a such that w*a**3 - 3*a**3 + a + 0*a = 0.
-1, 0, 1
Let a(t) be the third derivative of 4/525*t**7 - 1/50*t**6 + 2/75*t**5 + 0*t - 1/60*t**4 + 0 + 2*t**2 + 0*t**3 - 1/840*t**8. Let a(w) = 0. What is w?
0, 1
Let g(q) be the first derivative of -q**5/5 + q**4/2 + q**3/3 - q**2 + 17. Factor g(h).
-h*(h - 2)*(h - 1)*(h + 1)
Let x(y) = 84*y**3 + 136*y**2 + 52*y - 32. Let f(g) = -13*g**3 - 21*g**2 - 8*g + 5. Let d(b) = -32*f(b) - 5*x(b). Determine i, given that d(i) = 0.
-1, 0
Let g(m) = m - m - 20*m**3 - 6*m**5 + 2*m**2 - 10*m**4 - 6. Let v(d) = -6*d**5 - 11*d**4 - 19*d**3 + d**2 - 5. Let y(c) = -5*g(c) + 6*v(c). Factor y(x).
-2*x**2*(x + 1)**2*(3*x + 2)
Let f(l) = -7*l**2 - 14*l - 7. Let o(w) = -16*w**2 - 29*w - 13. Let u(j) = 5*f(j) - 2*o(j). Let u(p) = 0. Calculate p.
-3, -1
Let g = 153/395 - -1/79. Let d(c) = -2*c + 40. Let s be d(19). Determine o so that 0 + 0*o**s - g*o + 2/5*o**3 = 0.
-1, 0, 1
Let s = -11223/25 + 449. Let p = s + 8/25. Factor 2/5 + 2*l + 4*l**2 + p*l**5 + 4*l**3 + 2*l**4.
2*(l + 1)**5/5
Let m(y) be the third derivative of -2*y**7/315 - y**6/15 - y**5/5 - 5*y**2. Factor m(t).
-4*t**2*(t + 3)**2/3
Let p(d) be the first derivative of -1 + 0*d + 1/60*d**5 + 0*d**3 - d**2 - 1/24*d**4. Let f(w) be the second derivative of p(w). Suppose f(j) = 0. Calculate j.
0, 1
Suppose -5*p + 5*r = -25, 0 = -2*r - 8 + 2. Suppose 9/5*m**p + 6/5 - 3*m = 0. What is m?
2/3, 1
Suppose 3*y + 2*y - 15 = 0, -3*m + 6 = 2*y. Let v(j) be the second derivative of m*j**3 - 1/42*j**7 + 0*j**4 + 0 + j + 0*j**6 + 1/20*j**5 + 0*j**2. Factor v(s).
-s**3*(s - 1)*(s + 1)
Factor 0 - 1/3*v**3 - 4/3*v + 4/3*v**2.
-v*(v - 2)**2/3
Let k(d) be the first derivative of d**6/12 + d**5/5 - d**4/4 - 4*d**3/3 - 7*d**2/4 - d - 3. Factor k(n).
(n - 2)*(n + 1)**4/2
Let 4/13*p**2 - 4/13 + 2/13*p**3 - 2/13*p = 0. Calculate p.
-2, -1, 1
Let -1/2*q**2 + 0*q - 1/4*q**5 + 1/4*q**3 + 0 + 1/2*q**4 = 0. What is q?
-1, 0, 1, 2
Let d be (4/6)/(87/(-9)). Let c = 35/87 + d. Determine g so that g**2 + c - 4/3*g = 0.
1/3, 1
Determine w so that 28/9*w**2 + 10/9*w**5 + 16/9 + 56/9*w - 38/9*w**3 - 16/9*w**4 = 0.
-1, -2/5, 2
Suppose j = 4*p - 118, -2*p + 7*p - j - 148 = 0. Find c, given that -3 - 30*c**2 - p*c**3 + 3*c**4 - 15*c - 3*c**5 + 3*c**4 - 21*c**4 = 0.
-1
Suppose -60 = 6*l - 11*l. Let d = -12 + l. Let -1/2*z**3 - 1/2*z + d - z**2 = 0. Calculate z.
-1, 0
Let v = -263/11 + 24. Let x(i) be the second derivative of v*i**2 + 0 + 1/66*i**4 - i + 2/33*i**3. Solve x(m) = 0.
-1
Let x(y) be the second derivative of -98*y**6/75 - 91*y**5/25 - 17*y**4/5 - 6*y**3/5 - 6*y. Factor x(a).
-4*a*(a + 1)*(7*a + 3)**2/5
Let c be ((-426)/108 - -4)/(2/6). Factor c*b**3 - 1/3*b + 1/6*b**2 + 0.
b*(b - 1)*(b + 2)/6
Let i(j) be the second derivative of 1/4*j**4 + 3*j + 0 - j**2 - 1/30*j**6 + 1/6*j**3 - 1/20*j**5. Factor i(a).
-(a - 1)**2*(a + 1)*(a + 2)
Let w(x) = -x**2 + 3*x + 2. Let c be w(3). Suppose 2*u + c*s + 14 = 6*u, 2*u - 1 = -s. Let -6*k**2 - u*k**2 + 8*k**3 - k**4 - k**4 = 0. What is k?
0, 2
Suppose -k - 8 = 3*v, 2*v + 53 = -0*k - 5*k. Let g = k + 11. Solve 6/7*y**2 + g + 6/7*y**3 + 2/7*y + 2/7*y**4 = 0.
-1, 0
Let m(o) = -4*o + 2*o + o**2 - 3 - 2*o. Let k be m(5). Factor -2/7*f + 0 + 2/7*f**k.
2*f*(f - 1)/7
Let n(a) be the third derivative of 2*a**2 + 0*a**4 + 1/210*a**7 + 0 + 1/80*a**6 + 0*a + 0*a**3 + 1/120*a**5. Factor n(g).
g**2*(g + 1)*(2*g + 1)/2
Let u be ((-208)/182)/(2/(-7)). Factor 1/2*t**3 + 1/4*t**2 + 1/4*t**u + 0*t + 0.
t**2*(t + 1)**2/4
Let d(g) be the third derivative of g**8/504 + 2*g**7/189 + g**6/180 + 27*g**2 + 2*g. Factor d(b).
2*b**3*(b + 3)*(3*b + 1)/9
Let c = 294 + -1468/5. Find d, given that 0*d + c*d**2 - 2/5 = 0.
-1, 1
Let r(d) = d**3 + d. Let k(a) = -6*a**3. Let f = -4 + 7. Let x(j) = f*r(j) + k(j). Find z, given that x(z) = 0.
-1, 0, 1
Let z(s) = -17*s**2 - s + 5. Let l(p) = -3*p**2 + 1. Let f(t) = -22*l(t) + 4*z(t). Factor f(h).
-2*(h + 1)**2
Find u such that 0*u**3 + 4*u**2 + 8*u**3 - 2*u**3 + 4*u**4 + 2*u**3 = 0.
-1, 0
Let n(i) = i**4 - i**3 - i**2 - i + 1. Let l(g) = 2*g**4 - 2*g**3 - 4*g + 4. Let x(b) = -l(b) + 4*n(b). Factor x(q).
2*q**2*(q - 2)*(q + 1)
Let d(z) = -z**2 - 18*z - 39. Let u be d(-16). Let m be u/28 + (-13)/(-20). Factor 14/5*q**2 + 2*q**4 + 0 - m*q**5 - 18/5*q**3 - 4/5*q.
-2*q*(q - 2)*(q - 1)**3/5
Let k(v) = v**2. Let c = -6 + 11. Let w(t) = 4*t**2 + 5*t - c*t. Let y(p) = 5*k(p) - w(p). Solve y(n) = 0 for n.
0
Determin