 16*u**2 + 0*u**4 + 0 + 1/336*u**8 + 0*u**3 + 1/105*u**7 + 0*u**5 - 1/40*u**6. What is r in l(r) = 0?
-3, 0, 1
Let z(c) be the second derivative of 0 + 0*c**3 - 1/441*c**7 + 0*c**2 - 1/63*c**4 + 16*c + 2/315*c**6 + 1/210*c**5. Suppose z(w) = 0. Calculate w.
-1, 0, 1, 2
Let f(s) be the third derivative of -s**8/10080 - s**7/2520 + 4*s**5/15 - 13*s**2. Let y(j) be the third derivative of f(j). Determine i, given that y(i) = 0.
-1, 0
Let o(w) be the second derivative of 0*w**4 + 0 + 26*w + 0*w**2 + 0*w**5 - 1/105*w**6 + 0*w**3. Factor o(v).
-2*v**4/7
Let z(k) be the third derivative of -k**8/1848 + k**7/105 - 7*k**6/132 + 5*k**5/66 - k**2 - 22. Find s, given that z(s) = 0.
0, 1, 5
Let l be 5 + 5/(12000/(-11990)). Let b(f) be the third derivative of 1/480*f**6 + 0*f + l*f**5 - 6*f**2 + 0 - 1/96*f**4 - 1/24*f**3. Factor b(w).
(w - 1)*(w + 1)**2/4
Let b(u) be the first derivative of 3*u**5/5 - 5*u**4/2 + 11*u**3/3 - 2*u**2 + 136. Factor b(a).
a*(a - 1)**2*(3*a - 4)
Let b = -65 - -55. Let n be 45/(-20)*8/b. Factor -9/5*g**2 - n*g - 3/5*g**3 - 3/5.
-3*(g + 1)**3/5
Let y = 158 + -154. Let i(k) be the third derivative of 0 + 0*k - 4*k**2 + 1/27*k**3 + 1/54*k**y + 1/270*k**5. Suppose i(c) = 0. What is c?
-1
Let j(a) = 7*a**3 + 5*a**3 - 13*a**3 + 14*a - 15*a**2. Let n be j(-16). What is p in 0*p**2 - n*p + 12*p + 20 + 5*p**2 = 0?
2
Let t(c) be the first derivative of -c**4 - 3 - 28/3*c**3 - 32*c - 28*c**2. Factor t(d).
-4*(d + 1)*(d + 2)*(d + 4)
Let j be -3 + (-4 - -12) + -3 + 2. Let b(d) be the first derivative of 0*d**2 - 5/3*d**3 - 5 - 5/4*d**j + 0*d. Factor b(i).
-5*i**2*(i + 1)
Let i(t) = -9*t**3 + 1002*t**2 - 2058*t + 15. Let o(m) = m**3 - 143*m**2 + 294*m - 2. Let g(l) = 2*i(l) + 15*o(l). Factor g(v).
-3*v*(v - 2)*(v + 49)
Suppose 4*v - 24 = -4*a, 2*a - a - 2*v = -6. Factor -5*f**4 + f**2 - 3*f**a + 2*f**4 - 12*f**3 - 10*f**2.
-3*f**2*(f + 2)**2
Let m(l) be the first derivative of -2*l**3/27 + 208*l**2/9 - 21632*l/9 - 170. Solve m(q) = 0.
104
Let q(i) = -20*i**2 + 1444*i - 1400. Let l(g) = -13*g**2 + 963*g - 935. Let f(w) = -8*l(w) + 5*q(w). Suppose f(o) = 0. What is o?
1, 120
Factor 2/3*z**2 - 34/3*z + 20.
2*(z - 15)*(z - 2)/3
Suppose -8*k - 25 = -13*k. Find q such that 3*q**3 + q**k + q**3 + 2*q**2 + 3*q - 8*q**3 - 2 = 0.
-2, -1, 1
Let a(c) be the first derivative of c**7/9240 - c**6/1980 - c**5/1320 + c**4/132 - 17*c**3/3 + 10. Let r(g) be the third derivative of a(g). Factor r(x).
(x - 2)*(x - 1)*(x + 1)/11
Let p(y) be the second derivative of -y**6/6 - y**5/4 + 5*y**4/2 + 561*y. Solve p(w) = 0.
-3, 0, 2
Let r(s) = -4*s - 36. Let d(f) = -8*f + 22. Let v be d(4). Let t be r(v). What is o in -2/3*o**2 + t*o - 6 = 0?
3
Let j = 78 + -72. Let v be -1 + j - 406/84. What is g in v*g**3 + 0*g + 0*g**2 + 0 = 0?
0
Let a(b) be the second derivative of -40/33*b**3 + 18*b - 1/33*b**6 - 1/231*b**7 + 16/11*b**2 + 0 + 25/66*b**4 + 1/22*b**5. Factor a(z).
-2*(z - 1)**3*(z + 4)**2/11
Let d = -1722527/37244 + -2/9311. Let h = -46 - d. Factor -1/4 + 1/2*i**3 - 1/2*i + h*i**4 + 0*i**2.
(i - 1)*(i + 1)**3/4
Let j(f) be the first derivative of -2*f**5/55 + 7*f**4/11 - 2*f**3/3 - 26*f**2/11 + 229. What is h in j(h) = 0?
-1, 0, 2, 13
Let w(u) be the second derivative of u**6/225 - 11*u**5/150 + 13*u**4/45 - 16*u**3/45 - 10*u + 5. Factor w(i).
2*i*(i - 8)*(i - 2)*(i - 1)/15
Let u(z) be the second derivative of -4*z - 1/480*z**6 + 0 - 2/3*z**3 - 1/240*z**5 + 1/96*z**4 + 0*z**2. Let w(s) be the second derivative of u(s). Factor w(m).
-(m + 1)*(3*m - 1)/4
Factor 26*p**3 + 111*p**4 + 40*p**5 - 77*p**3 + 47*p**3 - 16*p**4 - 35*p**2 - 25*p + 49*p**3.
5*p*(p + 1)**3*(8*p - 5)
Let q = 79530/31 + -79907066/31155. Let x = q - -2/335. Determine w so that x + 2/3*w**2 - 4/3*w = 0.
1
Let p = 185221/9 - 20580. Factor 2/9 - 1/3*o + 0*o**2 + p*o**3.
(o - 1)**2*(o + 2)/9
Let i be 3 + (-10 + 10 - -1). Let t(w) be the first derivative of 2/19*w**3 + 1/38*w**4 + 0*w + i + 2/19*w**2. Factor t(x).
2*x*(x + 1)*(x + 2)/19
Factor 522*u**2 - 102*u**2 + 1854*u**4 - 90*u**3 - 299*u - 1859*u**4 - 141*u.
-5*u*(u - 2)**2*(u + 22)
Let o(l) = l**2 + 4*l - 9. Suppose 10 = -5*g - 20. Let i be o(g). What is t in -4*t**i + 3*t**4 - t**2 + 3*t + t**3 - 2*t**2 = 0?
-1, 0, 1
Let w(d) = -61*d**3 + 105*d**2 + 39*d + 11. Let p(j) = -12*j**3 + 21*j**2 + 8*j + 2. Let v(g) = 11*p(g) - 2*w(g). Determine x so that v(x) = 0.
-2/5, 0, 5/2
Let o(d) be the second derivative of -d**7/56 - 7*d**6/40 - 27*d**5/40 - 11*d**4/8 - 13*d**3/8 - 9*d**2/8 + 49*d + 2. Factor o(h).
-3*(h + 1)**4*(h + 3)/4
Let z(r) be the second derivative of r**4/6 - 17*r**3/3 + 42*r**2 + 3*r + 43. Suppose z(a) = 0. What is a?
3, 14
Let o be ((-6)/9)/2*(-3)/72. Let r = 149/360 - o. Factor 6/5*z - 4/5 - r*z**2.
-2*(z - 2)*(z - 1)/5
Let z(s) = 2*s**2 + s**3 + 3 + 0*s**2 - 3*s**2. Let u be z(0). Determine v, given that 2*v**2 - 6 - u*v**2 - 2*v**2 + 0 - 9*v = 0.
-2, -1
Let f(l) = 4*l - 74. Let b be f(19). Let -76*o**2 + 38*o**b + 35*o**2 - 5*o + 26*o - 30 = 0. What is o?
2, 5
Suppose -c = l - 5 - 5, c - 22 = -2*l. Let r be (40/(-50))/(l/(-10)). Factor r*p**2 + 2/3*p**3 - 2/3 - 2/3*p.
2*(p - 1)*(p + 1)**2/3
Suppose -2/13*w**4 - 4/13*w**2 + 10/13*w - 12/13*w**3 + 2/13*w**5 + 6/13 = 0. Calculate w.
-1, 1, 3
Factor -4*o**2 + 254*o**3 - 252*o**3 + 9*o**2 - 3*o**2.
2*o**2*(o + 1)
Let f(s) be the first derivative of s**5 - 55*s**3/3 - 45*s**2 - 40*s - 46. Determine j, given that f(j) = 0.
-2, -1, 4
Suppose -n + 2*d - 7 = 0, 2*n + 3*d + 2*d = 22. Suppose -n = -u + 8. Let 14*t**5 + 36*t**2 - 42*t**5 + u*t**3 + 8*t - 36*t**4 + 4*t**3 + 7*t**3 = 0. What is t?
-1, -2/7, 0, 1
Let w(t) be the first derivative of -t**5 - 15/2*t**2 - 35/3*t**3 + 0*t + 17 - 25/4*t**4. Factor w(b).
-5*b*(b + 1)**2*(b + 3)
Let g(q) be the first derivative of 1/4*q**4 - 1/5*q**5 + 1/6*q**3 - 11 + 1/2*q + 1/24*q**6 - 5/8*q**2. Factor g(n).
(n - 2)*(n - 1)**3*(n + 1)/4
Let f be 6/(-1)*(-6 - -5). Let w be 14/f + 2/3. Suppose 16*l**2 + 5*l**w + 28*l**3 + 3*l**5 + 5*l**2 - 6*l**3 + 15*l**4 + 6*l = 0. Calculate l.
-2, -1, 0
Find n such that -180 + 11*n**3 - 3*n**4 - 37*n**3 + 8*n**2 - 10*n**3 + 83*n**2 - 12*n + 44*n**2 = 0.
-15, -1, 2
Let d(b) be the third derivative of -1/39*b**4 - 35*b**2 - 1/195*b**7 - 9/130*b**5 + 4/39*b**3 + 0 - 1/30*b**6 + 0*b. Find z, given that d(z) = 0.
-2, -1, 2/7
Let n be (-2)/(-12)*(-49)/(-98). Let f(l) be the first derivative of 1/6*l**2 + 0*l**3 - n*l**4 - 5 + 0*l. Factor f(h).
-h*(h - 1)*(h + 1)/3
Let s(n) = -8*n**3 + 76*n**2 + 230*n + 122. Let d(l) = l**3 + 6*l**2 - 1. Let g(t) = -12*d(t) - 2*s(t). Factor g(o).
4*(o - 58)*(o + 1)**2
Let j be 10/(-15)*(153/(-14))/3. Let d = 19/7 - j. Factor 8/7*r + d*r**3 + 0 - 8/7*r**2.
2*r*(r - 2)**2/7
Let k = 5812 + -5810. Factor 52/5*v - 16/5 + 14/5*v**k.
2*(v + 4)*(7*v - 2)/5
Let l be (-3)/(-5)*(-4 + (-846)/(-189)). Let c(w) be the second derivative of 4*w - l*w**2 + 5/21*w**3 + 1/14*w**4 + 0. Suppose c(t) = 0. Calculate t.
-2, 1/3
Let d(j) be the third derivative of -1/96*j**6 + 9*j**2 + 1/840*j**7 - 1/240*j**5 + 0*j - 1/6*j**3 + 1/12*j**4 + 1/1344*j**8 + 0. Factor d(g).
(g - 1)**3*(g + 2)**2/4
Let m(y) be the third derivative of -7/30*y**6 - 16/9*y**3 - 9*y**2 - 122/45*y**5 + 0 + 14/45*y**7 + 0*y - 10/3*y**4. What is j in m(j) = 0?
-1, -2/7, 2
Let u = -71 + 70. Let m be 1 + (-2 - (u + 0 + 0)). Suppose -2/3*y**4 + 0*y**2 + m*y - 2/3*y**3 + 0 = 0. Calculate y.
-1, 0
Let h(d) be the second derivative of -1/360*d**6 + 0*d**5 + 2*d**2 + 0*d**4 + 6*d + 0 + 0*d**3. Let w(y) be the first derivative of h(y). Factor w(g).
-g**3/3
Find k such that 8*k**2 - 92 - 38*k + 92 + 14*k + 2*k**3 = 0.
-6, 0, 2
Let t(c) be the third derivative of 5*c**8/336 - 2*c**7/21 + 5*c**5/6 - 5*c**4/24 - 5*c**3 + 21*c**2 + 3*c. Let t(k) = 0. What is k?
-1, 1, 2, 3
Let l(y) = -y**2 + 5*y. Suppose h = 6*h - 20. Let q be l(h). Factor 0*m**2 + q*m + 3*m**2 + 3 - 6 - 4*m**2.
-(m - 3)*(m - 1)
Let v(o) be the first derivative of -3*o**4/8 - 5*o**3 - 27*o**2/4 + 95. Find j, given that v(j) = 0.
-9, -1, 0
Let r(u) = u**2 + 5*u. Let j be r(-5). Suppose 2*h = -j*p + 4*p, 2*h + 2*p - 18 = 0. Factor -2*q**4 - 2*q + 0*q**4 + 6*q - h*q - 6*q**3 - 6*q**2.
-2*q*(q + 1)**3
Let a(v) be the second derivative of v**5/90 - 8*v**4/27 + 5*v**3/3 + 18*v**2 - 7*v + 10. Factor 