 + 5*c**3/2 + 22*c. Let g(k) be the second derivative of q(k). Factor g(i).
-4*i*(i - 1)*(i + 3)**2/9
Suppose -4*f + o = 1, -3*f + 8*o - 7*o - 1 = 0. Factor -1/3*v**3 + v + 2/3 + f*v**2.
-(v - 2)*(v + 1)**2/3
Let s(a) be the third derivative of -a**6/300 + 2*a**5/75 + a**4/5 + 43*a**2. Factor s(h).
-2*h*(h - 6)*(h + 2)/5
Let l(b) be the first derivative of -196*b**5/5 - 812*b**4 - 2432*b**3 - 1696*b**2 - 448*b + 208. Find c such that l(c) = 0.
-14, -2, -2/7
Let v(q) be the second derivative of q**7/21 + 14*q**6/15 + 49*q**5/10 + 10*q + 5. Factor v(g).
2*g**3*(g + 7)**2
Let v = 13397 - 16880219/1260. Let b(p) be the third derivative of v*p**7 + 0*p**4 + 1/90*p**5 + 4*p**2 + 0*p**3 + 0 + 0*p + 1/180*p**6. Factor b(a).
a**2*(a + 2)**2/6
Let -268324/9 - 4/9*t**2 + 2072/9*t = 0. Calculate t.
259
Let h(t) be the second derivative of -1/5*t**4 + 32*t + 0 - 11/10*t**3 + 9/10*t**2. Factor h(z).
-3*(z + 3)*(4*z - 1)/5
Let h be (565/70 - 8)*18. Factor h*k - 12/7 + 3/7*k**2.
3*(k - 1)*(k + 4)/7
Suppose -14 = s - 4*h - h, 8 = 2*h. Solve u**2 - 1 + s*u - 5 - 1 = 0 for u.
-7, 1
Let j be 17/68*(11 + 1). Factor -d**j + 19 + 4*d**2 + d - 30 + 7.
-(d - 4)*(d - 1)*(d + 1)
Let r(u) be the third derivative of u**8/210 + 31*u**7/525 + u**6/15 - 7*u**5/150 - 397*u**2. Find v such that r(v) = 0.
-7, -1, 0, 1/4
Suppose 40*t - 129 = 31. Let s(d) be the second derivative of -1/30*d**3 + 0 + 0*d**2 - 1/60*d**t + 4*d. Factor s(u).
-u*(u + 1)/5
Let z(q) be the third derivative of q**5/270 - 31*q**4/54 + 209*q**2. Solve z(r) = 0.
0, 62
Let r(m) be the third derivative of -m**7/525 - m**6/75 - m**5/50 + m**4/15 + 4*m**3/15 - 570*m**2. Determine o so that r(o) = 0.
-2, -1, 1
Let y(w) = -w - 16. Let f be y(-13). Let d be ((-2 + 2)/(-2))/((-6)/f). Solve d + 1/5*r**3 + 0*r + 0*r**2 = 0 for r.
0
Let u = -655/136 - -84/17. Let l(o) be the second derivative of -1/48*o**4 + 0 - 3*o - 1/12*o**3 - u*o**2. Suppose l(j) = 0. What is j?
-1
Let x = 49 - 399. Let w be (-5*7/x)/((-1)/(-16)). Find y, given that 0 + 2*y**4 + 6/5*y**5 + 0*y - w*y**3 - 8/5*y**2 = 0.
-2, -2/3, 0, 1
Factor 0*t + 72/11*t**2 + 2/11*t**5 + 96/11*t**3 + 0 + 26/11*t**4.
2*t**2*(t + 1)*(t + 6)**2/11
Factor -2*r**2 + 216 - 78 - 98 + 2*r.
-2*(r - 5)*(r + 4)
Let w = -38435/4 - -9610. Let -5/4*j**2 + w + 0*j = 0. Calculate j.
-1, 1
Let p = 11619 - 11617. Factor -2/5*l + 2/5*l**p + 0.
2*l*(l - 1)/5
Suppose 4 = 2*f - 3*i + 2, -6 = 5*f - 2*i. Let b be (f - (4 + -4)) + 2. Factor 8*g**2 + b + 0 + 3*g**3 - 7*g**3.
-4*g**2*(g - 2)
Let m(b) = -b**2 + 9*b + 4. Let a be m(8). Suppose 0*q = 3*q - a. Factor 4*v + 0*v**2 + 4*v - 4*v - q - v**2.
-(v - 2)**2
Let z(w) be the third derivative of -w**5/60 - 3*w**4/4 - 27*w**3/2 - 71*w**2. Factor z(l).
-(l + 9)**2
Let j(p) = -119*p - 1785. Let w be j(-15). Factor -x**2 + w*x + 1/2*x**3 + 1/2*x**4 + 0.
x**2*(x - 1)*(x + 2)/2
Let q(i) = -3*i - 8. Let o be q(-10). Let 12*j**3 - o*j**2 + 53*j**2 - 27*j**2 = 0. What is j?
-1/3, 0
Let g(h) be the first derivative of -h**4/6 + 2*h**3/3 - 8*h/3 + 86. Factor g(r).
-2*(r - 2)**2*(r + 1)/3
Suppose 78 = -4*y + 10*y. Find j such that -3 + y + j**2 + 2*j - 9 = 0.
-1
Let g(t) be the first derivative of -3*t**4/4 + 28*t**3 - 663*t**2/2 + 1014*t + 14. What is h in g(h) = 0?
2, 13
Factor 0*m + 6*m**2 + 0 + 1/3*m**3.
m**2*(m + 18)/3
Solve 25*l**2 + 7*l + 0 + 7/4*l**3 = 0.
-14, -2/7, 0
Let u(o) be the third derivative of -o**6/660 - o**5/66 + o**4/22 - 44*o**2 + 1. Determine k so that u(k) = 0.
-6, 0, 1
Let l(h) be the second derivative of 2/45*h**6 + 0 + 0*h**2 + 1/15*h**5 - 10*h - 2/9*h**3 - 1/9*h**4. What is f in l(f) = 0?
-1, 0, 1
Let r(d) be the second derivative of 0 - 1/3*d**4 - 18*d + 7/27*d**3 + 2/3*d**2 + 1/18*d**5. Factor r(n).
2*(n - 3)*(n - 1)*(5*n + 2)/9
Suppose -7*o**3 - 3*o + 9*o**4 + 21*o**3 - 9*o**2 + 3 - 11*o**3 - 3*o**4 = 0. What is o?
-1, 1/2, 1
Let k be 2 - -1 - -11*(-5)/20. Let b(j) be the first derivative of 0*j + 1 - 1/6*j**3 - k*j**4 + 1/2*j**2 + 1/10*j**5. Determine f, given that b(f) = 0.
-1, 0, 1, 2
Let k = 262 + -258. Let i(f) be the first derivative of k + 0*f + 0*f**2 + 1/9*f**3 + 0*f**4 - 1/15*f**5. Solve i(t) = 0 for t.
-1, 0, 1
Factor -332 + 3*r - r + 3*r**2 + 320 + 7*r.
3*(r - 1)*(r + 4)
Let x(r) = -196*r**3 + 134*r**2 + 24*r - 26. Let q(o) = -39*o**3 + 27*o**2 + 5*o - 5. Let y(f) = -16*q(f) + 3*x(f). Factor y(h).
2*(h - 1)*(3*h + 1)*(6*h - 1)
Let i = 174/13 - -783/26. Let q = i - 43. Factor -7/4*f**4 - 4*f**3 - q*f + 0 - 11/4*f**2.
-f*(f + 1)**2*(7*f + 2)/4
Let u(k) be the first derivative of 0*k + 3 + 0*k**3 + 2*k**2 - 1/30*k**5 - 1/6*k**4. Let a(b) be the second derivative of u(b). Factor a(m).
-2*m*(m + 2)
Let k(x) be the first derivative of 5*x**4/24 - 15*x**2/4 + 223. Suppose k(d) = 0. What is d?
-3, 0, 3
Suppose -g - 2*g = -243. Let c be (2 + g/(-42))*192/6. Find u such that -c*u**2 - 2/7*u + 0 - 44/7*u**3 - 18/7*u**5 - 48/7*u**4 = 0.
-1, -1/3, 0
Suppose 1843*n - 1836*n = 21. Find y, given that 0 - 2/3*y + 1/3*y**2 + 1/3*y**n = 0.
-2, 0, 1
Factor -16/5*b + 0 + 4/5*b**2.
4*b*(b - 4)/5
What is q in -1/4*q**5 - 2*q**4 + 2*q**2 + 21/4*q**3 + 0 - 5*q = 0?
-10, -1, 0, 1, 2
Let j(k) be the second derivative of -k**5/50 - 22*k**4/15 - 484*k**3/15 - 229*k. Find c, given that j(c) = 0.
-22, 0
Solve 77 - 3*g**5 + 27 - 57*g - 38 - 150*g**2 + 48*g**4 + 60*g**3 + 36 = 0 for g.
-2, -1, 1, 17
Suppose 0 = 1308*a - 1262*a - 184. Solve 0*p**2 + 0 + 0*p + 1/2*p**3 + 5/6*p**a = 0 for p.
-3/5, 0
What is c in 8/3*c**2 + 4*c + 1/3*c**3 + 0 = 0?
-6, -2, 0
Let w(r) = 105*r**3 + 205*r**2 + 175*r - 1085. Let f(s) = 4*s**3 + 2. Let l(p) = -20*f(p) + w(p). What is x in l(x) = 0?
-5, 9/5
Let p(i) be the second derivative of -1/9*i**3 - 1/2*i**2 + 4*i + 0 + 1/36*i**4. Factor p(h).
(h - 3)*(h + 1)/3
Determine t so that 2/9*t**2 - 68/9 + 10/3*t = 0.
-17, 2
Let a be (4 - 39/9)/((-115)/10). Let z = 44/69 + a. Factor 16/3*p**3 - 8/3*p**2 + 0 + 0*p - 10/3*p**4 + z*p**5.
2*p**2*(p - 2)**2*(p - 1)/3
Let z(m) be the third derivative of 1/100*m**6 - 18*m**2 - 1/5*m**4 + 0*m + 0 + 1/300*m**5 + 1/1050*m**7 + 8/15*m**3. Solve z(x) = 0.
-4, 1
Suppose -12 = 2*w - 34. Suppose 4*q**2 - 7*q**3 + w*q**3 + q + 0*q**3 - 9*q = 0. What is q?
-2, 0, 1
Suppose -3*p - 5*j = -30, 2*p - 13 = -8*j + 35. What is m in -7/6*m**3 + 5/6*m**4 - 14/3*m**2 + p + 2*m = 0?
-2, 0, 2/5, 3
Let a(b) be the first derivative of b**4/36 - b**3/6 - 2*b**2/3 - 16*b + 19. Let l(z) be the first derivative of a(z). Factor l(m).
(m - 4)*(m + 1)/3
Suppose 0 = -u - 2*j + 4*j - 10, 5*j = -5*u + 25. Suppose u = d - 8*d. Suppose -1/2*m**2 - 5/4*m**3 + 0 - m**4 - 1/4*m**5 + d*m = 0. Calculate m.
-2, -1, 0
Let p(c) = -33*c**3 + 426*c**2 + 417*c. Let b(k) = 8*k**3 - 106*k**2 - 104*k. Let j(m) = 21*b(m) + 5*p(m). Factor j(v).
3*v*(v - 33)*(v + 1)
Let r(j) = 7*j - 2*j**2 - 2 - 4*j + 4 + j. Let i(n) = n**3 - 3*n**2 + 9*n + 3. Let o(g) = -2*i(g) + 5*r(g). What is q in o(q) = 0?
-2, -1, 1
Suppose 2*t = 2*s + 8, 3*s - 11 + 7 = -t. Let h(j) = -j**2 - j. Let w be h(-1). Determine f, given that 2/5*f**t + 4/5*f**3 + 2/5*f**2 + w*f + 0 = 0.
-1, 0
Let z(v) be the first derivative of -3*v**5/10 - 7*v**4/4 - 2*v**3 + 6*v**2 - 22*v + 30. Let b(m) be the first derivative of z(m). What is h in b(h) = 0?
-2, 1/2
Let a(r) be the first derivative of 1/5*r**2 - 1/10*r**4 + 2/15*r**3 - 2/5*r + 14. Find t, given that a(t) = 0.
-1, 1
Suppose -27 = -3*h - 39. Let f be ((-30)/25)/(h/10) + -1. Determine r, given that -2/5*r**3 + 2/5 + 2/5*r - 2/5*r**f = 0.
-1, 1
Let o be 716/28 - 9/(-21). Let -235*r + 70 - o*r**2 + 12*r**2 - 21*r**2 = 0. What is r?
-7, 2/7
Factor 1/9*f**2 - 10/9*f + 1.
(f - 9)*(f - 1)/9
Suppose -6 = 17*c - 20*c. Let z(s) = -4*s + 10. Let f be z(c). Suppose -1/4*w**f - 1/2*w + 0 = 0. What is w?
-2, 0
Let g(n) be the first derivative of -10*n + 1/6*n**2 + 1/9*n**3 + 1/36*n**4 - 6. Let u(c) be the first derivative of g(c). Factor u(l).
(l + 1)**2/3
Let h = 5660/3 + -1886. Suppose 4/3*a**4 + 0*a**3 + 0 + 0*a + 0*a**2 - h*a**5 = 0. Calculate a.
0, 2
Suppose 30 = 68*o - 9*o - 147. Determine t, given that 5/3*t**o + 0*t + 0 - 10/3*t**2 = 0.
0, 2
Let r(z) be the third derivative of 1/72*z**4 + 0 + 6*z**2 + 0*z**3 + 0*z - 1/180*z**5. Suppose r(o) = 0. What is o?
0, 1
Let w(h) be the third derivative of h**6/240 + h**5/24 -