 1)**2/4
Let w be (15 - -3)*4/12. Let i(a) be the second derivative of 3/10*a**w + 5/4*a**4 - 1/2*a**3 + 0*a**2 - 21/20*a**5 + 0 - 2*a. What is l in i(l) = 0?
0, 1/3, 1
Let g(f) = 5*f**2 + 374*f + 7214. Let w(x) = -x - 1. Let j(l) = g(l) - 6*w(l). Factor j(i).
5*(i + 38)**2
Let c(i) = 5*i**3 - 33*i**2 + 9*i + 33. Let b(g) = -3*g**3 + 16*g**2 - 5*g - 16. Let y(t) = -7*b(t) - 4*c(t). Let y(m) = 0. Calculate m.
-20, -1, 1
Let c = 790 - 19746/25. Let x(v) be the first derivative of -2 - c*v**5 + 0*v**2 + 0*v**3 - 1/10*v**4 - 1/15*v**6 + 0*v. Solve x(l) = 0.
-1, 0
Let a = 63 - 59. Solve -4/9 + 2/9*p**3 + 2/9*p**a - 2/3*p**2 - 10/9*p = 0 for p.
-1, 2
Let z(b) be the first derivative of -3*b**6/8 - 6*b**5/5 - 13*b**4/16 - b**3/6 - 201. Factor z(r).
-r**2*(r + 2)*(3*r + 1)**2/4
Let o be ((-18)/15)/((-3)/10). Let r(f) be the third derivative of 0*f + 0 + 0*f**3 - o*f**2 + 1/6*f**4 - 1/30*f**5. Factor r(h).
-2*h*(h - 2)
Let s(v) be the first derivative of -14/15*v**5 - 9 - 13/3*v**2 - 6*v**3 - 4/3*v - 23/6*v**4. Factor s(j).
-2*(j + 1)**3*(7*j + 2)/3
Let k(s) be the third derivative of 0*s - 1/70*s**7 - 1/10*s**5 - 1/10*s**6 + 1/2*s**4 - 22*s**2 + 0 + 3/2*s**3. Solve k(l) = 0.
-3, -1, 1
Let q(a) be the second derivative of a**6/120 - 11*a**4/24 - a**3 + 45*a**2/8 + 7*a + 40. Factor q(t).
(t - 5)*(t - 1)*(t + 3)**2/4
Let z(d) = -18*d**4 + 2*d**3 + 52*d**2 - 42*d + 2. Let p(x) = -x**4 - x**3 - x + 1. Let i(c) = -2*p(c) + z(c). Factor i(h).
-4*h*(h - 1)*(h + 2)*(4*h - 5)
Factor -18/5*c + 2/5*c**2 + 0.
2*c*(c - 9)/5
Let k(r) = 4*r**2 - 12*r - 13. Let o be k(4). Let -2/11*v - 2/11*v**o + 0 + 4/11*v**2 = 0. Calculate v.
0, 1
Let y = -360 - -365. Let d(s) be the third derivative of 2/195*s**y + 0*s**3 + 7*s**2 + 0*s + 0 + 1/780*s**6 + 1/39*s**4. Suppose d(u) = 0. What is u?
-2, 0
Factor 1/6*t**4 + 10*t + 14/3 + 2*t**3 + 43/6*t**2.
(t + 1)*(t + 2)**2*(t + 7)/6
Let h(q) = 23*q**2 + 36*q + 8. Let x(i) be the second derivative of -2*i**4 - 6*i**3 - 4*i**2 + 11*i. Let y(z) = -4*h(z) - 5*x(z). Find g such that y(g) = 0.
-1, -2/7
Let r(x) be the second derivative of -2*x**4/45 - 7*x**3/9 + 3*x**2/5 + 3*x - 109. Factor r(c).
-2*(c + 9)*(4*c - 1)/15
Suppose -5*h = 3*k - 2*h - 24, -2*h - 28 = -2*k. Let d = 497 + -1471/3. Let 22/3*p**3 - k*p**2 - 4/3 - 5/3*p**4 + d*p = 0. Calculate p.
2/5, 1, 2
Let q(s) = -s**2 - 11*s - 17. Suppose -4*a + 4*i - 41 = -9, 5*a - 4*i + 41 = 0. Let d be q(a). Solve 1/4*z**2 - d + 0*z = 0.
-2, 2
Let b(r) be the third derivative of -7*r**2 + 0*r**4 + 2/3*r**3 + 0*r - 1/120*r**6 - 1/20*r**5 + 0. Suppose b(o) = 0. Calculate o.
-2, 1
Let i(s) = s**3 + 3*s**2 - 10. Let l(h) be the first derivative of h + 14. Let t(q) = i(q) + 6*l(q). Solve t(d) = 0 for d.
-2, 1
Let g(z) be the second derivative of -z**5/15 - z**4/6 + 4*z**3/3 + z**2 - 4*z. Let k(f) be the first derivative of g(f). Suppose k(w) = 0. Calculate w.
-2, 1
Let d(q) be the third derivative of 2*q**6/135 + 13*q**5/54 + 34*q**4/27 + 16*q**3/27 - 85*q**2. Factor d(b).
2*(b + 4)**2*(8*b + 1)/9
Factor -3/5*r**5 + 0 + 0*r**3 - 12/5*r**2 + 9/5*r**4 + 0*r.
-3*r**2*(r - 2)**2*(r + 1)/5
Let d be ((-26)/78)/(2 - 38/18). Let o(m) be the first derivative of 1/17*m**2 + 2/17*m**5 - 3 - 2/51*m**d - 2/51*m**6 + 0*m - 3/34*m**4. Factor o(n).
-2*n*(n - 1)**3*(2*n + 1)/17
Let -2/3*k**5 + 0*k**4 + 4*k**2 + 0 + 0*k + 14/3*k**3 = 0. Calculate k.
-2, -1, 0, 3
Let i be (-32)/48 + 78/90. Factor 0*x - i*x**2 + 1/5.
-(x - 1)*(x + 1)/5
Let h(q) = -40*q**2 + 86*q**2 - 45*q**2 - 16*q + 17. Let g be h(15). Solve 4/3*x + 0 - x**3 + 0*x**g - 1/3*x**4 = 0.
-2, 0, 1
Let p be (0 - -2)*(1 + -3)/(-86). Let i = 137/172 - p. Factor 3/4*c + 0 - 3/2*c**3 + 0*c**2 + 0*c**4 + i*c**5.
3*c*(c - 1)**2*(c + 1)**2/4
Let p be 6*4*(-1)/(-12). Factor -3*z**p - 3*z - 6*z + 3 + 9.
-3*(z - 1)*(z + 4)
Suppose -31*w + 27*w = -112. Factor -2*r**3 - 3*r**3 - w*r**2 - 5*r + 38*r**2.
-5*r*(r - 1)**2
Let x be 20433/126 + 1/(-6). Let n = -159 + x. Determine z so that -1/2*z - 1/4*z**4 + 0*z**2 + 1/2*z**n + 1/4 = 0.
-1, 1
Let y(p) = -4*p - 39. Let v(m) = -5*m - 38. Let j(b) = 5*v(b) - 4*y(b). Let g be j(-4). Factor 1/5*f**5 + 0*f**3 + 0*f**g + 0 - 1/5*f**4 + 0*f.
f**4*(f - 1)/5
Let j(p) be the first derivative of p**4/50 + 18*p**3/5 + 4488*p**2/25 - 9248*p/25 + 302. Suppose j(h) = 0. What is h?
-68, 1
Find a such that 31/2*a**2 - 1/2*a**3 + 225/2 - 255/2*a = 0.
1, 15
Let i(a) be the first derivative of -a**6/6 + 2*a**5/5 + 5*a**4/4 - 10*a**3/3 - 2*a**2 + 8*a + 296. What is w in i(w) = 0?
-2, -1, 1, 2
Suppose x = -0*x - 5. Let b = 8 + x. Factor 0*d**b + 10*d**3 - 10*d**3 + 4*d**4.
4*d**4
Let o(u) = -u**3 - 12*u**2 - 12*u - 1. Let z be o(-11). Let d be 1/(1 - 5/z). Determine i, given that -3*i**d - 5*i**4 - 2*i**3 + 6*i**4 + 8*i + 1 - 5 = 0.
-2, 1, 2
Suppose -20 = -5*h + 9*h + 4*u, 8*h - 9 = -u. Solve 0 + 4/15*y + 2/15*y**h = 0.
-2, 0
Let o(v) = -7*v**2 + 3*v - 1. Let h be 60/(-24)*(-6)/(-5). Let p(w) = 4*w**2 - w. Let i(b) = h*o(b) - 5*p(b). Factor i(u).
(u - 3)*(u - 1)
Let q(w) be the first derivative of -5*w**4/2 - 5*w**3 + 5*w**2/2 - 2. Let k(o) = -11*o**3 - 16*o**2 + 6*o. Let j(x) = -5*k(x) + 6*q(x). Factor j(l).
-5*l**2*(l + 2)
Factor 63*p**2 + 66*p - 139 - 3*p**3 + 54 + 85.
-3*p*(p - 22)*(p + 1)
Solve -21/8*r**2 - 21/4*r - 3/8*r**3 - 3 = 0 for r.
-4, -2, -1
Let k(p) be the second derivative of -p**7/210 + p**6/40 - p**5/30 + 7*p**2/2 - 8*p. Let i(c) be the first derivative of k(c). Determine q so that i(q) = 0.
0, 1, 2
Suppose -8*b + 13*b - 3*l = 0, -2*b - 5*l = -31. What is h in 1/5*h**2 - 1/5*h**b + 1/5*h**5 - 1/5*h**4 + 0*h + 0 = 0?
-1, 0, 1
Let 2/17*n**2 + 0 + 32/17*n = 0. What is n?
-16, 0
Let o(x) be the third derivative of x**6/1440 - 7*x**4/96 - 5*x**3/18 - 834*x**2. Solve o(z) = 0 for z.
-4, -1, 5
Determine n, given that -3*n**2 + 17/7*n - 3/7 - 9/7*n**3 = 0.
-3, 1/3
Suppose 4*p - 55 = 33. Let w(c) = -c**2 + 6*c + 1. Let s be w(4). Factor 3 - 6*r**2 - s*r - 10*r + p*r.
-3*(r - 1)*(2*r + 1)
Suppose -66*l = -93 - 39. Suppose -2*a + h = -12, -a = 3*h + 9 - 1. Factor 0 + 15/2*d**l + 3/2*d**a - 6*d**3 - 3*d.
3*d*(d - 2)*(d - 1)**2/2
Let d(q) = 18*q + 76. Let r be d(-4). Factor 1/4*t**5 + 0 - t**r + 0*t - 1/2*t**2 + 5/4*t**3.
t**2*(t - 2)*(t - 1)**2/4
Let s(f) be the third derivative of f**7/70 + 3*f**6/40 - 7*f**5/20 - 15*f**4/8 + 9*f**3 - 134*f**2. Factor s(y).
3*(y - 2)*(y - 1)*(y + 3)**2
Let n(t) be the first derivative of -t**5/360 + t**4/144 - 16*t**2 + 14. Let o(l) be the second derivative of n(l). Factor o(p).
-p*(p - 1)/6
Let d(y) be the third derivative of -14*y**2 + 1/105*y**7 + 0 + 1/6*y**4 + 0*y**3 + 1/6*y**5 + 0*y + 1/15*y**6. Find c such that d(c) = 0.
-2, -1, 0
Let f = 1363/2 + -4079/6. Factor -1/3*s**4 + 1/3*s**2 + 0 - 5/3*s + f*s**3.
-s*(s - 5)*(s - 1)*(s + 1)/3
Let z(m) be the third derivative of 4*m**2 + 0 - 1/50*m**5 - 1/300*m**6 + 0*m**4 + 4/15*m**3 + 0*m. Determine w so that z(w) = 0.
-2, 1
Factor 0 - 1/2*f**4 + 1/6*f**5 + 1/2*f**2 - 5/6*f**3 + 2/3*f.
f*(f - 4)*(f - 1)*(f + 1)**2/6
Let l(x) be the third derivative of x**7/315 + x**6/60 - x**5/90 - x**4/12 + x**2 - 39*x. Factor l(t).
2*t*(t - 1)*(t + 1)*(t + 3)/3
Let x(g) be the third derivative of 0 + 0*g**3 + 0*g - 1/12*g**6 - 3*g**2 - 1/3*g**5 - 5/24*g**4 + 5/112*g**8 + 2/21*g**7. What is m in x(m) = 0?
-1, -1/3, 0, 1
Let f(r) be the first derivative of r**9/2016 - r**7/112 + r**5/20 - 4*r**3/3 + 6. Let m(v) be the third derivative of f(v). Let m(y) = 0. What is y?
-2, -1, 0, 1, 2
Let y(t) be the first derivative of -3/20*t**5 - 6*t**2 + 3/4*t**4 + 0*t**3 - 22 + 12*t. Determine d, given that y(d) = 0.
-2, 2
Let m(y) = 3*y**4 - 5*y**3 - 26*y**2 + 14*y + 38. Let q(i) = 17*i**4 - 30*i**3 - 154*i**2 + 81*i + 227. Let a(s) = 13*m(s) - 2*q(s). Factor a(z).
5*(z - 2)**2*(z + 1)*(z + 2)
Let j be 1*4 - (16 - 14). Factor 36 - 6*f**j + 7*f**2 + 30*f - 6*f + 3*f**2.
4*(f + 3)**2
Suppose 16/9*z**3 + 3905/9*z + 536/9*z**2 - 10082/9 = 0. What is z?
-71/4, 2
Let k(a) = -300*a**3 - 540*a**2 + 1090*a - 180. Let q(r) = -25*r**3 - 45*r**2 + 91*r - 15. Let g(w) = -3*k(w) + 35*q(w). Solve g(z) = 0.
-3, 1/5, 1
Let z be 6/(-14)*(-2181)/(-9). Let c = z - -104. Factor 4/7 - 4/7*w + c*w**2.
(w - 2)**2/7
Let t(j) be the first derivative of j**9/8064 - j**7/1120 + j**5/320 - j**3 + 14. Let r(