ive of -b**4 + 8*b**3 - 24*b**2 + 32*b + 113. Determine j so that l(j) = 0.
2
Let g(s) be the second derivative of -21*s**5/20 + s**4/2 + 7*s**3/2 - 3*s**2 - 2*s - 43. Factor g(o).
-3*(o - 1)*(o + 1)*(7*o - 2)
Let r(h) be the third derivative of -1/336*h**8 + 0*h + 1/70*h**7 + 0*h**5 - 9*h**2 + 0*h**3 - 1/60*h**6 + 0 + 0*h**4. Factor r(n).
-n**3*(n - 2)*(n - 1)
Let h(k) be the first derivative of 2*k**3/27 + 7*k**2/3 + 76*k/9 + 224. Factor h(i).
2*(i + 2)*(i + 19)/9
Let f(m) be the second derivative of -2*m**7/21 + 2*m**6 - 15*m**5 + 145*m**4/3 - 80*m**3 + 72*m**2 + 6*m - 3. Factor f(r).
-4*(r - 6)**2*(r - 1)**3
Let f(c) be the first derivative of 5*c**6/6 - 5*c**4/4 - 77. Factor f(a).
5*a**3*(a - 1)*(a + 1)
Let c(p) = 6*p**4 + 159*p**3 + 99*p**2 - 291*p - 210. Let d(x) = -4*x**4 - 81*x**3 - 49*x**2 + 145*x + 105. Let a(i) = -4*c(i) - 9*d(i). Solve a(z) = 0 for z.
-7, -1, 5/4
Let g(u) be the third derivative of -u**6/2880 + u**5/192 - u**4/48 + 25*u**3/6 - 8*u**2. Let s(j) be the first derivative of g(j). Find c such that s(c) = 0.
1, 4
Suppose -88*h = -275 - 77. Find r such that 2/5*r**3 + 0*r**2 + 2/5*r**h + 0*r + 0 = 0.
-1, 0
Suppose -367*u**2 - 12*u**3 + 11*u + 22*u - 154 + 527*u**2 - 38 + 491*u = 0. What is u?
-3, 1/3, 16
Let v(d) be the third derivative of -d**8/30240 + d**6/270 - 11*d**5/20 - 7*d**2. Let c(a) be the third derivative of v(a). Find b, given that c(b) = 0.
-2, 2
Let r(m) be the second derivative of -1/4*m**4 + 0*m**2 + m**3 - 9*m + 0. Factor r(u).
-3*u*(u - 2)
Factor 3/2*v**3 + 0 - 1/2*v**2 + 1/2*v**4 - 3/2*v.
v*(v - 1)*(v + 1)*(v + 3)/2
What is n in 2/23*n**2 + 40/23 - 42/23*n = 0?
1, 20
Factor -3*d**3 + 0*d + 0 + 0*d**2 + 15/4*d**4 - 3/4*d**5.
-3*d**3*(d - 4)*(d - 1)/4
Suppose 5*x + 7 = 4*x + 4*w, -4*w = 5*x - 37. Let j(g) be the first derivative of 0*g**2 + 0*g + 0*g**3 + 1/15*g**x - 7 - 1/12*g**4. Factor j(h).
h**3*(h - 1)/3
Let n(r) be the first derivative of 4 + 1/14*r**4 + 4/7*r**2 + 0*r - 8/21*r**3. Suppose n(p) = 0. What is p?
0, 2
Solve 30*f**2 - 95*f**2 + 78*f + 32*f**2 + 168 + 30*f**2 = 0.
-2, 28
Suppose 4*t + 32 - 32 = 0. Let l(j) be the third derivative of -j**2 + 1/132*j**4 + 1/660*j**6 + 0*j - 1/165*j**5 + t + 0*j**3. Determine g so that l(g) = 0.
0, 1
Let b(f) be the second derivative of -f**9/10584 + f**7/1470 - f**5/420 + 10*f**3/3 + 14*f. Let q(s) be the second derivative of b(s). Factor q(r).
-2*r*(r - 1)**2*(r + 1)**2/7
Let n(y) be the third derivative of y**6/240 - y**4/48 - y**2 + 75. What is a in n(a) = 0?
-1, 0, 1
Let q = 28776 - 28772. What is k in 0*k + 1/4*k**q - 9/2*k**2 + 81/4 + 0*k**3 = 0?
-3, 3
Let v be (-10 - -5)/(-5)*3. Find u such that 7*u - 280*u**2 + 5*u - 63*u**4 - 187*u**4 - 227*u**v + 727*u**3 + 18 = 0.
-1/5, 3/5, 1
Let r = 2445/2776 + -2/347. Suppose 9/8*g**2 + 1/4*g + 0 + r*g**3 = 0. What is g?
-1, -2/7, 0
Let j(n) be the third derivative of 0*n + 0*n**3 - 5/84*n**7 - 5*n**2 + 5/24*n**4 + 3/16*n**6 - 7/24*n**5 + 0 + 5/672*n**8. Find y such that j(y) = 0.
0, 1, 2
Suppose -17 = 4*y - 5. Let x be -4*y/72*4. Find h such that 0*h**2 + 2/3*h**3 - x*h + 0 = 0.
-1, 0, 1
Let g(m) = -4*m**3 + 24*m**2 - 12*m + 4. Let f(x) = x**3 + x**2 - x + 1. Let u = -76 + 70. Let v(n) = u*f(n) + g(n). Factor v(r).
-2*(r - 1)**2*(5*r + 1)
Suppose 5*w - 349 = -334. Let s(v) be the second derivative of -1/20*v**4 - 1/10*v**2 - 1/10*v**w - 1/100*v**5 + 0 - 3*v. Factor s(n).
-(n + 1)**3/5
Factor -280*g**2 + 2 - 2 + 4*g**3 + 208*g**2 - 12*g - 64*g.
4*g*(g - 19)*(g + 1)
Let -66*v**2 + 3396 - 18*v**3 + 21*v**4 + 21*v - 3*v**5 - 1652 - 1699 = 0. What is v?
-1, 1, 3, 5
Let n = -17797/2 - -8899. Factor n*x**2 - 3/2 + x.
(x - 1)*(x + 3)/2
Let w = 1780/10049 + -18/773. Find b, given that -w - 4/13*b - 2/13*b**2 = 0.
-1
Let o(l) be the second derivative of -l**5/30 - l**4/6 + 5*l**3 + 175*l**2/3 + l - 24. Find t, given that o(t) = 0.
-5, 7
Let w(s) be the first derivative of 27*s**5/5 + 144*s**4 + 1144*s**3 + 1920*s**2 + 1200*s + 87. Suppose w(g) = 0. What is g?
-10, -2/3
Let r(g) be the second derivative of -g**7/42 - g**6/10 + 3*g**5/10 + 2*g**4/3 + 550*g. Solve r(n) = 0.
-4, -1, 0, 2
Let l = 523/11 + -2582/55. Let -l + 0*f + 3/5*f**2 = 0. Calculate f.
-1, 1
Let k = 363 - 361. Let w(h) be the first derivative of -7/6*h**3 + 2*h - 7 + 3*h**k. What is n in w(n) = 0?
-2/7, 2
Let f(k) be the first derivative of -5*k**9/3024 - k**8/336 + k**7/84 - 7*k**3 + 23. Let w(r) be the third derivative of f(r). Suppose w(h) = 0. What is h?
-2, 0, 1
Factor 3/4*w**2 - 3/4*w**4 + 0 - 3/4*w + 3/4*w**3.
-3*w*(w - 1)**2*(w + 1)/4
Let x be 3/(3/((-12)/(-4))). Let t(w) = -3*w**3 - 2*w**2 + 3*w + 2. Let j be t(-2). Factor -j*h - x - 2*h**2 - 1 - 11 - 3.
-2*(h + 3)**2
Let a be 359/(-360) - (8 - (-72)/(-8)). Let l(m) be the third derivative of -1/18*m**3 + 0*m + a*m**5 - 5*m**2 + 1/144*m**4 + 0. Factor l(p).
(p - 1)*(p + 2)/6
Find k, given that -k**2 - 1/4*k**3 + 0 + 3*k = 0.
-6, 0, 2
Let t = 0 + 1. Let v(z) = -5*z + 5*z - z. Let o(n) = 5*n**2 - 5*n. Let g(y) = t*o(y) - 4*v(y). Factor g(d).
d*(5*d - 1)
Let m(r) = 6*r**2 - 5 + 2*r - r**2 - 7*r. Let l(w) = 1. Let c(y) = 5*l(y) + m(y). Find z, given that c(z) = 0.
0, 1
Let a(y) be the second derivative of 0*y**2 + 0 - 3*y - 4/3*y**3 - 1/15*y**6 - 1/2*y**5 - 4/3*y**4. Let a(t) = 0. Calculate t.
-2, -1, 0
Let f(j) be the third derivative of j**5/90 + j**4/9 - 5*j**3/9 + 151*j**2 + j. Suppose f(d) = 0. What is d?
-5, 1
Let l(u) = -u**3 + 86*u**2 - 1440*u - 3204. Let a(r) = -2*r**2 + 1. Let g(v) = -4*a(v) - l(v). Find s, given that g(s) = 0.
-2, 40
Determine y so that -240*y - 26*y**2 + 15*y**3 + 0*y**2 + 96*y**4 - 192 + 2*y**2 - 93*y**4 - 12*y**2 = 0.
-4, -1, 4
Let z(y) = 25*y**2 - 2406*y - 287988. Let q(b) = -355*b**2 + 33685*b + 4031830. Let t(x) = -6*q(x) - 85*z(x). Solve t(p) = 0 for p.
-240
Determine a, given that -1/3*a**2 + a**3 + 0*a + 1/3*a**5 - a**4 + 0 = 0.
0, 1
Let y = -7 + 4. Let f be (-2)/10 + y/(-15). Solve 3*j**4 - 7*j**5 - 11*j**4 + 16*j**2 + 3*j**5 - 8 + f*j**2 + 8*j**3 - 4*j = 0 for j.
-2, -1, 1
Suppose -4*t = -4*w - 8, 5*w + 27 = 32. Let y(h) be the second derivative of -1/4*h**4 - 27/2*h**2 - t*h**3 + h + 0. Find q such that y(q) = 0.
-3
Let j(o) = 4*o**2 - 23*o + 39. Let m(g) = g**2 - 2*g + 3. Let f(z) = -j(z) + 3*m(z). Factor f(h).
-(h - 15)*(h - 2)
Factor -12*a - 12/5*a**3 + 54/5*a**2 + 21/5 - 3/5*a**4.
-3*(a - 1)**3*(a + 7)/5
Let t(p) be the third derivative of p**7/315 - 7*p**6/18 + 431*p**5/30 - 595*p**4/9 + 1156*p**3/9 + 2*p**2 + 255. Determine i so that t(i) = 0.
1, 34
Let c(a) be the second derivative of a**4/3 + 4*a**3 - 32*a**2 + 17*a. Factor c(v).
4*(v - 2)*(v + 8)
Let h be (299/(-598))/(1/(-10)). Factor 0*k + 4/3*k**4 + 0 + 0*k**3 - 26/3*k**h + 0*k**2.
-2*k**4*(13*k - 2)/3
Let q be 2697/(-377) + (615/69 - 16/(-184)). Let s = -18643/13 - -1435. What is l in 16/13*l - q*l**2 - s*l**3 + 0 - 6/13*l**5 + 22/13*l**4 = 0?
-1, 0, 2/3, 2
Suppose 0 = 2*h + 4*f - 6, -2*h + h + 3 = f. Let m(l) be the first derivative of 1/12*l**2 + 1/9*l**h + 0*l - 2. Factor m(t).
t*(2*t + 1)/6
Find x such that 2/7*x**4 + 4/7*x - 18/7*x**2 + 16/7 - 4/7*x**3 = 0.
-2, -1, 1, 4
Let w(i) be the second derivative of i**4/12 + 3*i**3 + 10*i**2 - 3*i + 6. Let g be w(-17). Find c such that -9/4*c**2 + 0 + 3/4*c**g + 3/2*c = 0.
0, 1, 2
Factor 12/5*l**2 + 8/5*l + 1/5*l**4 + 6/5*l**3 + 0.
l*(l + 2)**3/5
Let n(h) = 36*h**2 - 111*h + 114. Let y = 6 + -4. Let j be (3 - 3)/y + -4. Let q(v) = -7*v**2 + 22*v - 23. Let d(s) = j*n(s) - 21*q(s). Factor d(w).
3*(w - 3)**2
Let u(o) = o**2 + o - 3. Let x be u(-5). Let i = -11 + x. Suppose 9*h**3 + h + 10*h**4 - 3*h**4 + i*h**2 - 3*h**4 = 0. What is h?
-1, -1/4, 0
Let x = -1958 + 76363/39. Let c(w) be the first derivative of -2/13*w**4 + x*w**6 - 13 + 4/13*w - 4/39*w**3 + 3/13*w**2 + 0*w**5. Suppose c(h) = 0. What is h?
-1, 1, 2
Let d be (32/64)/((-2)/(-8)). Factor -4/3*f**d + 4/3*f**3 - 2/3*f**5 + 2/3 + 2/3*f**4 - 2/3*f.
-2*(f - 1)**3*(f + 1)**2/3
Let t be ((-15)/10 + 15/18)*-9. Let z(w) be the second derivative of 1/4*w**4 + 0 + 7*w + 1/10*w**t - 3/10*w**5 + 0*w**2 + 0*w**3. Find d, given that z(d) = 0.
0, 1
Suppose 6761*b**3 + 6580*b**3 - 3920*b + 5*b**4 + 4200*b**2 - 13626*b**3 = 0. Calculate b.
0, 1, 28
What is t in 12*t**2 + 110*t - 60*t - 16*t**3 - 4*t**4