**3 + 1 + 3/4*w**4 + 1/3*w**2. Factor z(m).
m*(m + 1)**3*(m + 2)/3
Let o(p) be the third derivative of p**7/1260 - p**6/720 - p**5/120 + p**4/144 + p**3/18 + 13*p**2 + 2. Factor o(j).
(j - 2)*(j - 1)*(j + 1)**2/6
Let x(d) be the second derivative of d**3 - 5*d - 1/6*d**4 + 0 + 5/2*d**2 + 1/90*d**5. Let h(i) be the first derivative of x(i). Determine q so that h(q) = 0.
3
Let l be 27/12*(-7 - 305/(-45))*-6. What is y in -39/7*y**2 + 3/7*y**l + 12/7*y**5 + 33/7*y**4 - 15/7*y + 6/7 = 0?
-2, -1, 1/4, 1
Let f be ((-15)/((-1485)/(-44)))/(20/(-66)). Let z(p) be the first derivative of f*p**3 + 0*p + 2/5*p**2 + 14/25*p**5 + 1 + 8/5*p**4. Solve z(t) = 0 for t.
-1, -2/7, 0
Let -37*f**3 + 7*f**3 - 40*f**2 + 35 + 5*f**4 + 30*f + 0*f**3 = 0. What is f?
-1, 1, 7
Factor 557*m**3 + 7*m**2 - 278*m**3 - m**2 - 282*m**3.
-3*m**2*(m - 2)
Let k = -310 - -315. Let r(p) be the third derivative of 0*p**3 - 1/120*p**6 + 1/336*p**8 + 1/210*p**7 - 1/60*p**5 + 0 + 0*p + k*p**2 + 0*p**4. Factor r(h).
h**2*(h - 1)*(h + 1)**2
Let h(l) be the third derivative of -l**5/15 + l**4/6 + 4*l**3/3 + 242*l**2. Factor h(a).
-4*(a - 2)*(a + 1)
Let o(m) be the first derivative of -3*m**4/4 + 4*m**3 + 63*m**2/2 - 308. Determine d, given that o(d) = 0.
-3, 0, 7
Let n(r) = 20*r**2 - 293*r + 3743. Let j(x) = -9*x**2 + 147*x - 1872. Let k(u) = 7*j(u) + 3*n(u). Factor k(z).
-3*(z - 25)**2
Let x be -6 - ((-24)/105)/((-6)/(-161)). Let g(a) be the second derivative of 2/3*a**3 + 3/5*a**5 + a**4 + x*a**6 - 3*a + 0 + 0*a**2. Factor g(b).
4*b*(b + 1)**3
Let h(b) be the first derivative of -b**5/140 + b**4/28 - b**3/14 + 4*b**2 - 2. Let y(z) be the second derivative of h(z). Factor y(g).
-3*(g - 1)**2/7
Factor 114 - 225 - 20*k**4 + 20*k**2 + 5*k**5 - 30*k**3 + 25*k + 111.
5*k*(k - 5)*(k - 1)*(k + 1)**2
Let u = 41 + -38. Find h such that u*h**3 - 6*h**3 - 2*h**3 = 0.
0
Suppose -68 = -3*r - r + 4*g, -4*g + 130 = 5*r. Suppose 10*n + n = r. Find o such that -1/4*o + 1/4*o**n + 0 = 0.
0, 1
Let k be ((-7)/(-2) + -1)/(802/1604). Determine c, given that -48/7*c**2 - 16/7*c + 0 - 24/7*c**4 - 4/7*c**k - 52/7*c**3 = 0.
-2, -1, 0
Let m = 4829/2 + -2414. Suppose m - 5/4*i - 7/4*i**2 = 0. What is i?
-1, 2/7
Suppose -n - 2*n + 4*b - 8 = 0, 17 = -2*n + 5*b. Determine o so that -25 + 32*o - n*o**2 - 37 - 18 + 16 = 0.
4
Suppose 3*r = -k + 19, 3*k - 62 = 2*r + 6. Let x(t) = 12*t**2 + 13*t + 8. Let g(p) = p**2 + p + 1. Let a(n) = k*g(n) - 2*x(n). Factor a(u).
-2*(u - 1)*(u + 3)
Let w(n) be the second derivative of 0 + 160/3*n**4 + 28/15*n**6 + 0*n**2 - 2/21*n**7 - 256/3*n**3 + 10*n - 72/5*n**5. Factor w(c).
-4*c*(c - 4)**3*(c - 2)
Suppose 4*i - 20 = -0. Let r(q) = 20*q - 98. Let h be r(5). Find c, given that -3*c**5 + 0*c + 2*c - h*c**3 + i*c**5 - 2*c**3 = 0.
-1, 0, 1
Let o(s) = -10*s + 1112. Let r be o(111). Factor 7/3*d - 49/6 - 1/6*d**r.
-(d - 7)**2/6
Solve -22/5*u**4 + 2/5*u**3 - 3/5*u**5 + 12*u**2 - 23/5*u - 14/5 = 0 for u.
-7, -2, -1/3, 1
Let k(v) be the third derivative of -2*v**7/105 + 2*v**6/15 + 28*v**5/15 + 16*v**4/3 + 66*v**2. Solve k(n) = 0.
-2, 0, 8
Let v = 370 - 368. Factor -21/5*r**v - 2/5 - 11/5*r - 17/5*r**3 - r**4.
-(r + 1)**3*(5*r + 2)/5
Let k(x) be the third derivative of x**8/4032 - x**7/72 + 49*x**6/144 - 3*x**5/10 - 12*x**2. Let v(j) be the third derivative of k(j). Factor v(h).
5*(h - 7)**2
Let d(v) be the first derivative of -27*v**6/40 - 9*v**5/10 - v**4/2 - 4*v**3 + 7. Let l(x) be the third derivative of d(x). Factor l(b).
-3*(9*b + 2)**2
Let d(i) = -1 - 5 + 2*i - 1. Let s be d(6). Factor 10*x**2 + 4 - s*x**4 - 18*x + 6*x**3 - 1 + 12*x**5 + 14*x**2 - 22*x**4.
3*(x - 1)**3*(x + 1)*(4*x - 1)
Let v(i) = 9*i**4 + 10*i**3 + 36*i**2 + 46*i + 35. Let x(j) = j**4 - j + 1. Suppose 5*m = 19 + 6. Let d(n) = m*v(n) - 40*x(n). Solve d(q) = 0.
-3, -1
Let f = 202956/305 - 39872959/60085. Let h = -4/197 + f. Factor -3/5*a**4 - h*a**3 + 0 - 3/5*a - 9/5*a**2.
-3*a*(a + 1)**3/5
Let u(x) be the third derivative of -x**8/2016 + 2*x**7/105 - 83*x**6/360 + 11*x**5/15 - 121*x**4/144 - 297*x**2. Factor u(c).
-c*(c - 11)**2*(c - 1)**2/6
Let w(c) be the third derivative of 7*c**5/12 - 8495*c**4/24 - 405*c**3 - 838*c**2. Let w(t) = 0. What is t?
-2/7, 243
Let r(t) be the third derivative of -t**6/480 - t**5/20 - 13*t**4/32 - 7*t**3/6 - 352*t**2. Factor r(s).
-(s + 1)*(s + 4)*(s + 7)/4
Solve 52/3*k**2 + 0 - 4/3*k**4 + 20/3*k**5 - 8/3*k - 20*k**3 = 0 for k.
-2, 0, 1/5, 1
Let b(q) be the third derivative of -1/6*q**3 + 0 + 0*q + 1/70*q**7 - 1/30*q**5 - 2*q**2 + 1/30*q**6 - 1/6*q**4. Factor b(m).
(m - 1)*(m + 1)**2*(3*m + 1)
Let u = -4/4293 - -427873/4293. Let d = u - 98. Factor -4/3 + 1/2*t**2 - d*t.
(t - 4)*(3*t + 2)/6
Let v(u) be the third derivative of 1/300*u**5 - 1/15*u**3 + 1/120*u**4 + 0*u - 9*u**2 + 0. Factor v(a).
(a - 1)*(a + 2)/5
Let f(l) be the first derivative of -4*l**2 + 2 + 1/24*l**4 + 0*l + 0*l**3 + 1/20*l**5. Let d(k) be the second derivative of f(k). Factor d(n).
n*(3*n + 1)
Let l(k) = k**4 - k**3 + 2*k**2. Let r(w) = -9*w**4 - 15*w**3 - 36*w**2 + 48*w. Let i(g) = 6*l(g) + r(g). Factor i(c).
-3*c*(c - 1)*(c + 4)**2
Let d(s) = s**2 - 12*s + 3. Let n be d(12). Let o be 75/40*-2*(-24)/20. Let 9/4*v**5 + o*v**2 - 23/4*v**3 - n*v**4 + 3*v - 2 = 0. Calculate v.
-1, 2/3, 2
Let l(k) = k**3 - 10*k**2 - 4*k + 42. Let c be l(10). Let d(s) be the first derivative of -8*s - 14 - 5*s**c - 2/3*s**3. Factor d(w).
-2*(w + 1)*(w + 4)
Let l(r) be the third derivative of 1/240*r**5 - 1/12*r**3 + 11*r**2 + 0 - 1/96*r**4 + 0*r. Solve l(o) = 0 for o.
-1, 2
Suppose 341 - 105 = 4*w. Let o = w + -59. Factor 2/7*n**3 + 0*n**2 + o + 0*n.
2*n**3/7
Let v(c) be the first derivative of 26 + 0*c + 34/3*c**3 + 7*c**4 + 6/5*c**5 + 6*c**2. Factor v(p).
2*p*(p + 1)*(p + 3)*(3*p + 2)
Let v(j) be the third derivative of -5*j**8/336 - 3*j**7/7 + 5*j**6/2 + 650*j**5/3 + 2500*j**4 - 475*j**2. What is u in v(u) = 0?
-10, 0, 12
Let g = 4001 + -28001/7. Solve -g*q**3 - 3/7*q**4 - 3/7 + 3/7*q**5 + 6/7*q**2 + 3/7*q = 0 for q.
-1, 1
Let l(o) be the first derivative of -o**3/9 + 3*o**2/2 - 14*o/3 + 52. Factor l(g).
-(g - 7)*(g - 2)/3
Let c(d) be the first derivative of d**4/2 - 32*d**3/3 + 13*d**2 + 60*d + 27. Find w, given that c(w) = 0.
-1, 2, 15
Let j be 3/(-9) + (-19)/(-3). Let o be (-7)/((-63)/6)*j. Factor 0*h**o + 44*h**2 - 45*h**2 + h**4.
h**2*(h - 1)*(h + 1)
Let l(k) be the third derivative of -1369*k**5/12 - 185*k**4/2 - 30*k**3 + 168*k**2. Factor l(g).
-5*(37*g + 6)**2
Factor 25/2*i - 13/2 - 1/2*i**3 - 11/2*i**2.
-(i - 1)**2*(i + 13)/2
Let t = 6864/5147 - 4/15441. Factor -4/3*z**5 - 4/3 - 4/3*z + 8/3*z**2 + 8/3*z**3 - t*z**4.
-4*(z - 1)**2*(z + 1)**3/3
Let s = 6 - 4. Let k(h) = h**3 + 11*h**2 + 11*h + 13. Let v be k(-10). Factor -6*w + 4 + 0 - v*w**s - 7.
-3*(w + 1)**2
Let n be 33/7 + 10/35. Factor 32*h**3 + 5*h - 3 + 20*h**2 + n*h**5 - 2*h**3 + 3 + 20*h**4.
5*h*(h + 1)**4
Let r = 1/95 + 183/665. Let h = -10204 + 10207. Factor -4/7*d + 2/7*d**4 + 4/7*d**h - r + 0*d**2.
2*(d - 1)*(d + 1)**3/7
Factor -24/5*w - 28/5*w**3 - 2/5 + 54/5*w**2.
-2*(w - 1)**2*(14*w + 1)/5
Let v = 2380/129 - 564/43. Factor 32/9*c**2 + 2 + v*c.
2*(4*c + 3)**2/9
Let m(v) be the second derivative of 9/20*v**5 + 1/30*v**6 + 0*v**2 + 0 - 1/14*v**7 + 1/4*v**4 + 3*v - 1/3*v**3. Let m(b) = 0. Calculate b.
-1, 0, 1/3, 2
Let c(x) = -4*x**2 - x + 2. Let g be c(-2). Let p be 4*(58/g - -5). Factor -2/3*i + 0 + p*i**2.
2*i*(i - 1)/3
Let b(w) be the first derivative of -w**6/3 + 4*w**5/5 + 7*w**4/2 + 8*w**3/3 + 80. Let b(j) = 0. What is j?
-1, 0, 4
Let h(u) be the second derivative of 1029/8*u**2 - 3/4*u**5 + 0 - 63/8*u**4 - 49/2*u**3 + 42*u - 1/40*u**6. What is y in h(y) = 0?
-7, 1
Let x(r) be the third derivative of r**6/720 - r**5/72 - r**4/18 + r**3/3 + 125*r**2. What is q in x(q) = 0?
-2, 1, 6
Let m(q) = q**3 - 28*q**2 - 28*q - 25. Let l be m(29). Let t be (-2 - (-14)/6)/(l/3). Factor -t*n**3 + 0 + 1/4*n**2 + 0*n.
-n**2*(n - 1)/4
Let w(v) be the first derivative of -4/3*v**3 - v**2 - 1/2*v**4 + 0*v - 43. Factor w(a).
-2*a*(a + 1)**2
Let c = -943/11 - -88. Let i = 119/33 - c. Factor -2*f + i + 2/3*f**2.
2*(f - 2)*(f - 1)/3
Let m be 28 - 2/(-3)*6. Let y = m + -30. Find r such that -5*r**3 - 142*r + 152*r - 5*r**y + 0*r**3 = 0.
-2, 0, 1
Let i(u) be the second derivative of -