/4
Let c(d) be the second derivative of 2*d**7/63 + 22*d**6/45 + 3*d**5/5 - 11*d**4/9 - 20*d**3/9 - 2*d - 172. What is q in c(q) = 0?
-10, -1, 0, 1
Let q(o) be the third derivative of o**5/12 + 5*o**4/4 - 40*o**3/3 - 5*o**2 + 2. Let q(k) = 0. What is k?
-8, 2
Let h(j) = 3*j + 5*j - 4 - 2*j - 5*j. Let b be h(6). Suppose 8*q**3 + 5*q**2 - 5*q**4 - b*q**2 + q**2 = 0. Calculate q.
-2/5, 0, 2
Let 162*p**4 - 162*p**4 + p - 14*p**3 - 2*p**2 + 2 + 5*p + 8*p**5 = 0. Calculate p.
-1, -1/2, 1
Let j = -1216 + 1216. Let a(t) be the third derivative of t**2 - 5/4*t**3 + j*t + 1/40*t**5 + 0 - 1/4*t**4. Factor a(w).
3*(w - 5)*(w + 1)/2
Suppose 4*c + 80 = 4*t, -4*c - 1 - 62 = -3*t. Let x = -14 + t. Factor 3/4 + 3/4*l**x - 3/4*l - 3/4*l**2.
3*(l - 1)**2*(l + 1)/4
Let k be 4/(-6) + 4/(-12). Let s be 0 + -1*(-3)/(-18)*k. Suppose -s + 1/3*c**3 - 1/6*c**5 - 1/6*c**4 + 1/3*c**2 - 1/6*c = 0. What is c?
-1, 1
Let z(h) be the second derivative of -h**5 - 275*h**4/4 - 335*h**3/2 - 100*h**2 - h - 204. Determine o, given that z(o) = 0.
-40, -1, -1/4
Let s be (-368)/20 - (12/(-15))/2. Let j = s + 20. Factor 0*o + 0 + 4/7*o**4 - 2/7*o**3 + 0*o**j - 2/7*o**5.
-2*o**3*(o - 1)**2/7
Let 7/4*q**2 - 8*q + 12 - 1/8*q**3 = 0. What is q?
4, 6
Let d(c) be the third derivative of -1/12*c**6 + 0*c - 5/6*c**3 + 16*c**2 + 1/6*c**5 + 0 + 5/336*c**8 - 1/42*c**7 + 5/24*c**4. Find n such that d(n) = 0.
-1, 1
Let z be 70/(-14) + 11 + (-5)/(20/16). Solve -z + 1/3*v**2 + 5/3*v = 0 for v.
-6, 1
Let z be (460/69)/((-45)/(-60)). Factor -22/3*k**2 - 8/3 - z*k.
-2*(3*k + 2)*(11*k + 6)/9
Let m be 6/21*4*4/32*10. Determine g, given that -16/7 + m*g**2 + 36/7*g = 0.
-4, 2/5
Suppose -48*a = 4*g - 46*a - 6, -12 = -4*a. Let -1/3*s**3 + 2/3*s**2 + g - 1/3*s = 0. Calculate s.
0, 1
Let d(m) be the third derivative of -m**5/75 + m**4/30 + 35*m**2. Factor d(v).
-4*v*(v - 1)/5
Let u be (-9 - (-12 - -8)) + (-148)/(-28). Solve 0 - u*t**2 + 2/7*t = 0 for t.
0, 1
Let r(k) = 2*k**3 - 12*k**2 + 3*k - 6. Let d be r(6). Let i be 2/d + 26/60. Suppose -6/5*x**2 - 3/5*x**5 + 6/5*x**3 - 3/5*x + i + 3/5*x**4 = 0. What is x?
-1, 1
Determine t so that -7*t**2 - 10*t**2 + 2*t**2 + 8*t**3 + 120*t - 13*t**3 + 25*t**2 = 0.
-4, 0, 6
Let z(o) be the third derivative of 1/15*o**5 + 0*o**4 + 0*o**3 - 1/168*o**8 + 1/60*o**6 + 0 - 2/105*o**7 + 29*o**2 + 0*o. Suppose z(i) = 0. Calculate i.
-2, -1, 0, 1
Suppose -7*f = -205 + 149. Factor -f*z + 24 + 2/3*z**2.
2*(z - 6)**2/3
Let h(i) be the second derivative of -i**8/784 + i**7/245 - i**5/70 + i**4/56 + 10*i**2 + 16*i. Let s(o) be the first derivative of h(o). Factor s(u).
-3*u*(u - 1)**3*(u + 1)/7
Let o(x) be the second derivative of 2*x**7/63 + 4*x**6/9 + 11*x**5/5 + 40*x**4/9 + 32*x**3/9 + 100*x. Factor o(s).
4*s*(s + 1)**2*(s + 4)**2/3
Let h = -36 + 24. Let z be 0/1 + (-3)/h. Let z - 1/4*j**2 + 1/4*j**3 - 1/4*j = 0. Calculate j.
-1, 1
Let r(u) be the third derivative of -7/24*u**6 + 2*u**2 + 0*u + 5*u**3 - 4/3*u**5 + 0 + 85/24*u**4. Factor r(k).
-5*(k - 1)*(k + 3)*(7*k + 2)
Let 1/3*m**2 + 4*m + 0 = 0. Calculate m.
-12, 0
Let q(n) be the third derivative of -n**7/420 - n**6/120 + n**5/15 + 206*n**2. Factor q(t).
-t**2*(t - 2)*(t + 4)/2
Let x(g) be the second derivative of -g**7/22680 - g**6/6480 + g**5/540 + g**4/12 - 29*g. Let d(s) be the third derivative of x(s). Find h such that d(h) = 0.
-2, 1
Let t(p) be the first derivative of -4 + 1/7*p**3 + 18/7*p + 15/14*p**2. Factor t(q).
3*(q + 2)*(q + 3)/7
Let f(o) = -o**4 + 19*o**3 + 41*o**2 + 15*o. Let n(m) = -10*m**4 + 170*m**3 + 370*m**2 + 135*m. Let q(r) = 55*f(r) - 6*n(r). What is h in q(h) = 0?
-3, -1, 0
Let p(x) = -3*x**5 + x**4 - 2*x**3 - 6*x**2 - 5*x. Let g(r) = -3*r**5 + 2*r**4 - r**3 - 6*r**2 - 4*r. Let z(v) = -5*g(v) + 4*p(v). Find h such that z(h) = 0.
-1, 0, 1, 2
Let i = -1033 + 12397/12. Let q(u) be the third derivative of -1/6*u**3 + 0*u**5 + 0*u + 0 + i*u**4 - 1/60*u**6 + 1/210*u**7 + 6*u**2. Factor q(v).
(v - 1)**3*(v + 1)
Let n(c) be the second derivative of 0 - 2*c**2 - 1/2*c**4 - 7/5*c**5 + 3*c**3 + 15*c. Solve n(p) = 0.
-1, 2/7, 1/2
Suppose 3*s**5 + 867*s**2 - 45*s**4 - 5*s**5 - 450 - 345*s + 132*s**4 - 4*s**5 - 461*s**3 + 20*s**3 = 0. What is s?
-1/2, 2, 3, 5
Let m(z) be the second derivative of 9*z**5/20 + 17*z**4/2 + 18*z**3 - 60*z**2 + 301*z. Factor m(c).
3*(c + 2)*(c + 10)*(3*c - 2)
Let f(v) be the second derivative of v**10/10080 + v**9/2520 - v**8/2240 - v**7/420 - 11*v**4/6 - 20*v. Let n(i) be the third derivative of f(i). Factor n(m).
3*m**2*(m - 1)*(m + 1)*(m + 2)
Let f(z) = z**2 + 4*z - 3. Let x be f(-4). Let v be 2/x + 35/3. Factor -5*a**2 + 2*a**4 - 8*a**2 + v*a**2.
2*a**2*(a - 1)*(a + 1)
Let a = -17 + 15. Let s be (-18)/(-5) + a/(-5). Determine m, given that -12 + 4*m**2 + 12 - s*m**4 = 0.
-1, 0, 1
Let q = 7816 + -7814. Suppose -9/2*i + 5*i**q - 3/2*i**3 + 1 = 0. Calculate i.
1/3, 1, 2
Let j be (-5336)/(-377) + 2/(-13). Suppose 0 = -3*c + 3*l + 21, 0 = -3*c - 5*l - 5 - j. Factor -3/2 + 15/4*x - 9/4*x**c.
-3*(x - 1)*(3*x - 2)/4
Let u be 4/6 - (-20)/15. Let o be ((-1)/u)/(-2 + 4 + -4). Find b such that -1/4 - 1/4*b + 1/4*b**2 + o*b**3 = 0.
-1, 1
Factor 1/5*f**2 + 18/5 - 9/5*f.
(f - 6)*(f - 3)/5
Let w(c) be the second derivative of -c**6/60 + 3*c**5/20 - 3*c**4/8 + 219*c. Factor w(y).
-y**2*(y - 3)**2/2
Let v be 109/(-545) - 173/(-15). Factor -56/9*s + 160/9*s**2 + 0 - v*s**3 - 2*s**4.
-2*s*(s + 7)*(3*s - 2)**2/9
Let m(f) = -5*f**3 - 7*f**2 + 14*f - 79. Let c(u) = -3*u**3 - 5*u**2 + 8*u - 40. Let j(x) = 7*c(x) - 4*m(x). Factor j(p).
-(p - 2)*(p + 3)*(p + 6)
Let y(r) = r**3 + 4*r**2 - 5*r + 1. Let w be y(-5). Let m(v) = v**3 - 3*v**2 - 3*v + 5. Let u be m(4). Factor 5 - 7 - u*c - 5 - 3*c**2 + w.
-3*(c + 1)*(c + 2)
Let h(o) be the third derivative of -o**8/560 - 3*o**7/280 + o**5/10 - 5*o**3/2 - o**2 - 22*o. Let y(n) be the first derivative of h(n). Factor y(p).
-3*p*(p - 1)*(p + 2)**2
Let w(o) be the first derivative of 2*o**6/21 - 4*o**5/5 + 12*o**4/7 + 64*o**3/21 - 128*o**2/7 + 192*o/7 + 378. Find b, given that w(b) = 0.
-2, 2, 3
Let h(v) be the second derivative of v**7/105 - v**6/10 + 3*v**5/10 - v**4/3 - 43*v**2/2 - 2*v. Let o(m) be the first derivative of h(m). Factor o(s).
2*s*(s - 4)*(s - 1)**2
Let m(c) = c**3 - 4*c**2 - 5*c. Let v be m(6). Let o = -42 + v. Suppose 2/7*a**3 - 2/7*a + 0*a**2 + o = 0. Calculate a.
-1, 0, 1
Let r = 39 - 130. Let u be (12/7)/((-13)/r). Suppose -2*t**2 - 4*t**2 - 8 + 20*t - u + t**2 = 0. Calculate t.
2
Let d(s) be the second derivative of -s**6/15 + 3*s**5/10 + s**4/3 - 4*s**3 + 8*s**2 + 3*s + 4. Find p, given that d(p) = 0.
-2, 1, 2
Let p = 313 - 308. Let b(a) be the second derivative of 0*a**4 - 2/7*a**3 + 0 - 12*a + 1/35*a**p + 4/7*a**2. Determine o so that b(o) = 0.
-2, 1
Let z(g) be the second derivative of -g**5/4 + 5*g**4/3 + 138*g. Suppose z(j) = 0. Calculate j.
0, 4
Let v(r) be the second derivative of 2*r**7/21 + 14*r**6/15 + 17*r**5/5 + 17*r**4/3 + 4*r**3 - 4*r + 11. Factor v(n).
4*n*(n + 1)**2*(n + 2)*(n + 3)
Solve -9277*n**4 - 3*n**2 - 8*n - 6 + 9286*n**4 + 15*n**3 - 7*n = 0.
-1, -2/3, 1
Let i = -38 + 40. Factor 62*h + 5*h**i - 50*h - 10 - 7*h**2.
-2*(h - 5)*(h - 1)
Suppose -5*b + 5 = 5*c, 5*b + 0*b + 2*c = 8. Suppose m = b*m - 3. Factor 7*p + p**4 - 2*p**m - p**3 - 3*p.
p*(p - 2)**2*(p + 1)
Let o(n) be the first derivative of -3*n**4/32 - 5*n**3/6 - 27*n**2/16 - 5*n/4 + 224. Let o(g) = 0. Calculate g.
-5, -1, -2/3
Suppose 14*y = 84 - 84. Let f(z) be the third derivative of -5*z**2 - 1/60*z**5 - 1/12*z**4 - 1/6*z**3 + y + 0*z. Factor f(k).
-(k + 1)**2
Let q(p) = p**3 - 15*p**2 + p - 10. Let t be q(15). Let k be (-56)/48 + t/3. Solve 3/4*n**3 + 1/4*n**2 + 1/4*n**4 - k - 3/4*n = 0.
-2, -1, 1
Factor 2/5*t**4 + 0 - 2/5*t**2 + 6/5*t - 6/5*t**3.
2*t*(t - 3)*(t - 1)*(t + 1)/5
Suppose 126*a - 535 = 131*a. Let q = a - -111. Factor -4/7 - 22/7*k - 10/7*k**q - 6*k**2 - 34/7*k**3.
-2*(k + 1)**3*(5*k + 2)/7
What is d in -d**3 + d**5 + 206*d**4 + 201*d**4 - 2*d**3 - 8*d**2 - 405*d**4 - d**3 = 0?
-2, 0, 2
Solve 0 + 80/9*p - 44/9*p**3 + 70/9*p**4 - 2*p**5 - 88/9*p**2 = 0 for p.
-10/9, 0, 1, 2
Solve 2*q**5 - 10*q + 35824*q**4 + 60*q**3 + 0 + 0 - 35855*q**4 - 23*q**2 + 2*q**5 = 0 for q.
-1/4, 0, 1, 2, 5
Determine b, given that b**3 + 125*b**2 + 543 + 3968*b + 4586 - 1285 =