) be the second derivative of -11*z**7/21 - 13*z**6/15 + 31*z**5/10 + 17*z**4/6 - 20*z**3/3 - 4*z**2 + z - 16. Let h(j) = 0. What is j?
-2, -1, -2/11, 1
Let l(i) = 1. Let u(j) = j**2 - 5*j - 5. Let r(m) = 5*l(m) + u(m). Solve r(x) = 0.
0, 5
Let b(i) be the second derivative of i**8/8960 - i**7/1120 + i**4 - 15*i. Let g(u) be the third derivative of b(u). Factor g(k).
3*k**2*(k - 3)/4
Suppose 2*v = -5*v + 14. Suppose -3*p - 4 = 5*j - 5, v*j = -p. Find d such that -2/7*d - 6/7*d**5 + 8/7*d**3 - 8/7*d**4 + 12/7*d**p - 4/7 = 0.
-1, 2/3, 1
Let l(t) be the third derivative of t**8/224 + 3*t**7/140 - t**5/10 - 8*t**2 - 1. Suppose l(r) = 0. What is r?
-2, 0, 1
Suppose 0 = 6*t - 3*t. Suppose -v + 6*v - v = t. Suppose v*g - 3/4*g**2 - 1/4*g**3 + 1 = 0. What is g?
-2, 1
Let y be (-5)/18*45*(-43)/215. Factor y*p**3 - 15/2*p + 0 + 5*p**2.
5*p*(p - 1)*(p + 3)/2
Let i(w) be the first derivative of w + 0*w**2 - 2 + 1/24*w**4 + 0*w**3 - 1/40*w**5. Let o(b) be the first derivative of i(b). Solve o(q) = 0 for q.
0, 1
Let b be (55/(-50) - (-80)/50)*0/(-4). Factor 2/15*i**5 + 0*i**3 + b - 2/5*i**4 + 8/15*i**2 + 0*i.
2*i**2*(i - 2)**2*(i + 1)/15
Let t = -53/373 + -504298/2611. Let o = -193 - t. Factor -o*m**5 + 0*m**2 + 0*m - 2/7*m**3 - 4/7*m**4 + 0.
-2*m**3*(m + 1)**2/7
Let k(l) be the third derivative of l**8/1176 - 13*l**7/735 + 23*l**6/210 + l**5/21 - 25*l**4/12 - 125*l**3/21 - 3*l**2 - 8*l. Find a such that k(a) = 0.
-1, 5
Let f(j) be the second derivative of j**6/72 - j**5/6 + 5*j**4/8 - j**3 - 10*j. Let t(c) be the second derivative of f(c). Factor t(m).
5*(m - 3)*(m - 1)
Let a(x) be the second derivative of 1/42*x**4 + 0*x**3 - 29*x - 1/21*x**6 - 1/49*x**7 - 1/70*x**5 + 0*x**2 + 0. Factor a(c).
-2*c**2*(c + 1)**2*(3*c - 1)/7
Let t(r) = -5*r**2 + 23*r - 22. Let w(j) = -6*j**2 + 22*j - 21. Let u(v) = -5*t(v) + 4*w(v). Let u(d) = 0. What is d?
1, 26
Suppose -3*u + 5 = -5*n - 0, 0 = 3*u + 2*n + 2. Factor -2/5*g**2 + 2/5*g**5 + 6/5*g**3 + 0*g + u - 6/5*g**4.
2*g**2*(g - 1)**3/5
Let p(z) be the second derivative of z**4/21 + 16*z**3/3 + 224*z**2 + 16*z + 1. Factor p(c).
4*(c + 28)**2/7
Let q(x) be the second derivative of -x**4/3 + 128*x**3/3 - 126*x**2 + 382*x. Factor q(d).
-4*(d - 63)*(d - 1)
Let c = 1/602 + 2707/1204. Find g, given that 3/4*g**3 + 27/4 - 15/4*g**2 + c*g = 0.
-1, 3
Let g(f) be the first derivative of -f**4/4 - 5*f**3 - 36*f**2 - 108*f - 124. Let g(t) = 0. Calculate t.
-6, -3
Let t(x) be the first derivative of x**6/540 + x**5/60 + x**4/18 + 11*x**3/3 - 9. Let h(l) be the third derivative of t(l). Suppose h(y) = 0. What is y?
-2, -1
Let -16*m - 3*m**2 - 33*m + 9*m - 12*m - 153 - 104*m = 0. Calculate m.
-51, -1
Suppose -3*w = -4 - 5. Suppose 2*v = -w*v + 10. Find i, given that 6 + i + i**v - i**2 - 8 + i**2 = 0.
-2, 1
Let c(v) = v**3 - 25*v**2 + 3. Let m be c(25). Let s be (2/(-2) - 0)*-3. Suppose 2*h**s + 2*h**2 - h**5 - 3*h**3 - 1 + h - h**4 + m*h**3 - 2*h = 0. What is h?
-1, 1
Let y(o) = -o**3 + 13*o**2 + 13*o + 17. Let d be y(14). Suppose 4*c = d*c + 16*c. Solve 1/2*a - 1/4*a**4 + 0 + c*a**3 + 3/4*a**2 = 0 for a.
-1, 0, 2
Suppose -w = 0, -i + 0*w = 4*w - 2. Let z be 5/((-5)/i) - -5. Find y such that 6/5*y - 3/5*y**2 + 3/5*y**4 - 3*y**z + 0 + 9/5*y**5 = 0.
-1, 0, 2/3, 1
Find m, given that -2/7*m**3 - 18/7*m**2 - 48/7 - 52/7*m = 0.
-4, -3, -2
Let t(u) be the second derivative of u**4/24 - 19*u**3/12 + 9*u**2/2 + 393*u. Determine f, given that t(f) = 0.
1, 18
Let v(h) be the first derivative of 5/3*h**3 - 2*h**2 + 10*h + 1/10*h**5 + 1 - 2/3*h**4. Let q(s) be the first derivative of v(s). Let q(l) = 0. Calculate l.
1, 2
Let b = -124 - -72. Let s be (2 + -1)/((-13)/b). Factor 1/2*f**5 + 1/2*f**3 + 0*f**2 + f**s + 0*f + 0.
f**3*(f + 1)**2/2
Suppose 2923*l - 46 = 2900*l. Factor -1/2*g**l + 0*g + 0.
-g**2/2
Let 2/9*r - 4/9*r**3 + 0 + 0*r**2 + 0*r**4 + 2/9*r**5 = 0. Calculate r.
-1, 0, 1
Let m(b) be the second derivative of b**5/20 + 3*b**4/4 - 5*b**3/3 - 206*b. Determine z, given that m(z) = 0.
-10, 0, 1
Let f(c) = -27 + 108 + 13*c + 5*c + 0*c + 4*c**2. Let v(u) = -u**2. Let d(x) = -f(x) - 3*v(x). Suppose d(s) = 0. Calculate s.
-9
Factor 5*y**3 - 8*y**3 - 6 + 3*y - 7*y**2 + 13*y**2.
-3*(y - 2)*(y - 1)*(y + 1)
Suppose 45/7*n + 108/7 + 3/7*n**2 = 0. What is n?
-12, -3
Let p(h) be the third derivative of 0*h + 6*h**2 + 8/3*h**3 - 1/5*h**5 - 1/30*h**6 + 0*h**4 + 0. Factor p(t).
-4*(t - 1)*(t + 2)**2
Let y(g) = -3*g**5 - 41*g**4 - 198*g**3 - 348*g**2 - 208*g. Let o(h) = 6*h**5 + 81*h**4 + 396*h**3 + 696*h**2 + 414*h. Let i(x) = -4*o(x) - 9*y(x). Factor i(k).
3*k*(k + 2)**3*(k + 9)
Let d(w) be the third derivative of w**8/2240 + w**7/280 - 5*w**4/6 - 10*w**2. Let j(k) be the second derivative of d(k). Suppose j(u) = 0. What is u?
-3, 0
Let f(z) be the third derivative of z**8/88 - 16*z**7/231 + 29*z**6/165 - 13*z**5/55 + 23*z**4/132 - 2*z**3/33 - 929*z**2. What is w in f(w) = 0?
1/7, 2/3, 1
Let t = 1911 - 3821/2. Factor -1/4*m**3 - 1/4*m + 0 - t*m**2.
-m*(m + 1)**2/4
Suppose 3*a - 17*i - 25 = -22*i, 4*i = -4*a + 20. Factor 2/5*h + a + 1/5*h**2.
h*(h + 2)/5
Suppose 0 = -16*i + 13*i - 3. Let c be (i/((-2)/(-6)))/(45/(-10)). Factor -c*h**2 - 4/3 - 2*h.
-2*(h + 1)*(h + 2)/3
Let n = -12 - -70. Solve -52*a + 9*a**2 + n + 280 - 7*a**2 = 0 for a.
13
Let s be (-60)/(-25)*(-440)/(-528). Factor -25/6 + 13/2*p**s - 2/3*p**3 - 15*p.
-(p - 5)**2*(4*p + 1)/6
Let c(i) be the first derivative of i**4 + 2*i**3/3 - 3*i**2 + 6. Let u(q) = q**3 - q. Let h(z) = -4*c(z) + 20*u(z). Factor h(j).
4*j*(j - 1)**2
Let q(w) = 5*w**2 + 46*w. Let j(z) = 2*z**2 + 16*z. Let d(k) = 11*j(k) - 4*q(k). Let d(n) = 0. Calculate n.
0, 4
Let a = -318 + 283. Let y be (-5)/a - (-24)/56. Suppose 0 - y*n + 6/7*n**2 - 2/7*n**3 = 0. What is n?
0, 1, 2
Let p be (-1)/(-3)*9 + -1. Determine n, given that -6*n**3 - 12 + 8*n - p*n**5 + 0*n**4 + 12 + 8*n**2 - 8*n**4 = 0.
-2, -1, 0, 1
Let l(h) be the third derivative of -h**6/280 + 29*h**5/140 - 195*h**4/56 - 225*h**3/14 + 75*h**2. Factor l(m).
-3*(m - 15)**2*(m + 1)/7
Let y(p) be the third derivative of p**5/30 + 11*p**4/12 + 10*p**3/3 + 67*p**2. Factor y(d).
2*(d + 1)*(d + 10)
Let s be ((-8)/(-24)*0)/3. Let x(o) be the second derivative of -1/14*o**4 - 1/35*o**5 + 1/105*o**6 + s + 4/7*o**2 + 4/21*o**3 - 8*o. What is a in x(a) = 0?
-1, 2
Let h = 7435 - 7431. Find v such that 3/7*v**5 + 0*v**h + 0 + 6/7*v**2 - 9/7*v**3 + 0*v = 0.
-2, 0, 1
Let d(u) be the first derivative of 14*u**5/45 + 20*u**4/9 + 16*u**3/3 + 32*u**2/9 - 32*u/9 - 112. Factor d(f).
2*(f + 2)**3*(7*f - 2)/9
Factor 2*b**4 + b - 27*b**2 - 13*b + 5*b**4 - 10*b**4 - 18*b**3.
-3*b*(b + 1)**2*(b + 4)
Suppose 40*m = 98 - 18. Factor -3/2*z**3 + 3*z**m + 1/4*z**4 - 5/2*z + 3/4.
(z - 3)*(z - 1)**3/4
Let r be 7904/819 - 2/9. Let v = -62/7 + r. Factor 0*q**4 + 0*q**2 + 2/7*q**5 + 2/7*q + 0 - v*q**3.
2*q*(q - 1)**2*(q + 1)**2/7
Let b(y) be the third derivative of y**5/60 + 7*y**4/12 + 275*y**2. Factor b(x).
x*(x + 14)
Let u be (-2)/(-6) - (-1 + 68/42). Let v = u - -20/21. Let v*p - 1/3*p**2 - 1/3 = 0. What is p?
1
Determine a, given that -1/3*a**2 - 3364/3 + 116/3*a = 0.
58
Let s(d) be the second derivative of 5*d**7/147 - 17*d**6/105 + 8*d**5/35 - 2*d**4/21 + 78*d. What is g in s(g) = 0?
0, 2/5, 1, 2
Let y(d) be the second derivative of -d**6/120 + 3*d**5/16 - 4*d - 16. Factor y(s).
-s**3*(s - 15)/4
Let z(w) be the third derivative of -1/18*w**4 - 1/12*w**3 + 0 - 1/72*w**5 - 10*w**2 + 0*w. Factor z(s).
-(s + 1)*(5*s + 3)/6
Suppose 24/7*z + 2/7*z**4 + 8/7 + 12/7*z**3 + 26/7*z**2 = 0. Calculate z.
-2, -1
Let s(r) = 6*r**2 + 114*r - 153. Let j(x) = -x**2 - 23*x + 30. Let f(m) = -11*j(m) - 2*s(m). Factor f(n).
-(n - 24)*(n - 1)
Let g(z) be the first derivative of z**3/9 - z**2/3 - 8*z/3 + 236. What is l in g(l) = 0?
-2, 4
Let p(n) be the first derivative of 4/5*n + 36 + 1/5*n**4 - 2/5*n**2 - 4/15*n**3. Factor p(b).
4*(b - 1)**2*(b + 1)/5
Let r(o) be the third derivative of 41*o**5/330 - 13*o**4/44 - 2*o**3/33 - 7*o**2 - 4*o. Factor r(d).
2*(d - 1)*(41*d + 2)/11
Let a = -3 - -7. Let p = -9 + 14. Factor -a*i**2 - 8*i**4 + 6*i**3 - 2*i**2 + 9*i**3 + 3*i**p - 4*i**4.
3*i**2*(i - 2)*(i - 1)**2
Let z be (-21)/(-6)*28/49. Factor z*p + 14*p + 4*p**2 - 9*p - 3*p**2.
p*(p + 7)
Suppose 0 = -o + 5*m + 2095, 3*m - 826