the first derivative of -a**4/16 - a**3 - 35*a**2/8 - 6*a - 170. Determine b, given that s(b) = 0.
-8, -3, -1
Let w(u) be the second derivative of u**6/140 + u**5/105 - u**4/84 - 8*u**2 + 7*u. Let n(f) be the first derivative of w(f). Suppose n(c) = 0. What is c?
-1, 0, 1/3
Factor 22/17*s**2 + 64/17*s + 56/17 + 2/17*s**3.
2*(s + 2)**2*(s + 7)/17
Let z(b) = 3*b**4 - 202*b**3 + 1147*b**2 - 5*b. Let m(j) = j**4 - 102*j**3 + 573*j**2 - 3*j. Let f(u) = -5*m(u) + 3*z(u). Determine x, given that f(x) = 0.
0, 12
Factor 103*c**4 + 108*c**4 + 2*c**2 + c**5 + 3*c - 4*c**3 - 213*c**4.
c*(c - 3)*(c - 1)*(c + 1)**2
Let c(s) be the third derivative of s**7/840 + s**6/72 - 2*s**3 + 4*s**2. Let h(d) be the first derivative of c(d). Factor h(f).
f**2*(f + 5)
Let f(m) be the second derivative of m**5/60 + m**4/6 + m**3/2 + 13*m**2/2 - 3*m. Let u(c) be the first derivative of f(c). Factor u(s).
(s + 1)*(s + 3)
Let i = 26976/5 - 5394. Factor -12/5*g**3 + 72/5*g**2 + 0 - 24/5*g**4 + 54/5*g + i*g**5.
6*g*(g - 3)**2*(g + 1)**2/5
Let s(y) be the third derivative of -7*y**5/135 + 317*y**4/54 - 20*y**3/3 + 3*y**2 + 7*y. Determine b, given that s(b) = 0.
2/7, 45
Let d(r) = 3*r**4 - r**3 + 2*r. Let a(z) = 6*z**4 - 75*z**3 - 495*z**2 - 720*z. Let i(y) = a(y) - 3*d(y). Factor i(k).
-3*k*(k + 2)*(k + 11)**2
Let j(z) be the third derivative of z**8/560 + 9*z**7/175 + 3*z**6/10 + 14*z**5/25 + 423*z**2. Determine s, given that j(s) = 0.
-14, -2, 0
Let n(u) be the second derivative of u**9/5040 - u**7/280 - u**6/120 - u**4/6 - 17*u. Let o(z) be the third derivative of n(z). Find a, given that o(a) = 0.
-1, 0, 2
Let z(f) be the third derivative of -5*f**8/336 - 5*f**7/42 - f**6/8 + 3*f**5/4 + 66*f**2 - 6. Let z(y) = 0. What is y?
-3, 0, 1
Let s be (-7)/(35/25) + 11. Suppose -3*h - 1 = -5*o, -2 = -4*o + s. Solve 0 + 24*z**h + 6*z**5 + 9/2*z**2 - 3*z + 45/2*z**4 = 0.
-2, -1, 0, 1/4
Let n(t) be the third derivative of 0*t + 0 - 6*t**2 + 1/70*t**7 + 0*t**4 + 0*t**5 + 1/20*t**6 + 0*t**3. Factor n(q).
3*q**3*(q + 2)
Let j(s) be the third derivative of 1/150*s**5 + 0*s + 0*s**3 - 1/20*s**4 + 0 - s**2. Factor j(r).
2*r*(r - 3)/5
Suppose 2*p = 2*r + 18, p - 2*r + 1 = 15. Suppose -p*f = -f. Factor 1/3*j**2 + f*j - 1/3*j**4 + 0 + 0*j**3.
-j**2*(j - 1)*(j + 1)/3
Let w be 4/((-6)/4 + 2). Suppose -w*f = -10*f - 5*u - 19, -3*f + 3*u + 24 = 0. Factor -2*o**2 + 2/7*o + 0 + 30/7*o**f - 18/7*o**4.
-2*o*(o - 1)*(3*o - 1)**2/7
Let w = 220 - 215. Let i(s) be the first derivative of 8/3*s**3 - 1 - 1/2*s**4 - w*s**2 + 4*s. Solve i(g) = 0.
1, 2
Let m(t) be the third derivative of t**8/672 - t**7/140 + t**5/30 - 71*t**2. Factor m(z).
z**2*(z - 2)**2*(z + 1)/2
Let h(k) be the first derivative of -2*k**3/9 + 2*k**2/3 + 2*k + 20. Factor h(j).
-2*(j - 3)*(j + 1)/3
Let h(k) be the second derivative of -50*k**7/21 - 6*k**6 + k**5/5 + 41*k**4/3 + 16*k**3 + 8*k**2 + 9*k + 17. Suppose h(z) = 0. What is z?
-1, -2/5, 1
Let u(n) be the third derivative of n**6/30 + 26*n**5/15 + 32*n**4 + 192*n**3 + n**2 - 12. Determine t so that u(t) = 0.
-12, -2
Let i(q) = q**3 - 2*q**2 + q - 1. Let y(f) = 10*f**2 - 20*f + 8. Let t(v) = -2*i(v) + y(v). Factor t(j).
-2*(j - 5)*(j - 1)**2
Let f = -79 - -85. Let d(c) be the second derivative of 0*c**2 - 2/9*c**4 + 2*c + 1/10*c**5 + 2/45*c**f - 1/63*c**7 + 0 - 4/9*c**3. Solve d(i) = 0 for i.
-1, 0, 2
Factor -1/3*b**3 + 0 - 1/3*b**2 + 4*b.
-b*(b - 3)*(b + 4)/3
Factor -44/7*n**2 - 30/7*n - 10/7*n**3 + 36/7.
-2*(n + 2)*(n + 3)*(5*n - 3)/7
Factor 0*m + 1/10*m**2 + 0 - 2/5*m**3.
-m**2*(4*m - 1)/10
Let y = -19 - -21. Factor 27 + 13 + 28*o - 98 + 4*o**y + 26.
4*(o - 1)*(o + 8)
Let h(x) be the second derivative of 5/2*x**4 + 20/3*x**3 - x**6 - 5/42*x**7 + 0*x**2 + 1 - 7/4*x**5 + 7*x. Solve h(y) = 0 for y.
-4, -2, -1, 0, 1
Let j(z) be the first derivative of -z**5/10 + z**3/6 - 71. Let j(c) = 0. Calculate c.
-1, 0, 1
Suppose 56*l - 25 = 61*l. Let a(u) = 2*u**2 + 6*u - 1. Let b(x) = -x**2 - 3*x. Let p(y) = l*b(y) - 2*a(y). Find v, given that p(v) = 0.
-2, -1
Let y = 1/23 - -13/230. Let v(a) be the first derivative of 0*a - 2 + 0*a**3 + 1/20*a**4 - y*a**2. Factor v(c).
c*(c - 1)*(c + 1)/5
Let z(h) be the second derivative of -1/42*h**7 + 0*h**2 + 4*h - 2/5*h**5 - 1/3*h**4 + 0*h**3 - 1/6*h**6 + 0. Let z(l) = 0. Calculate l.
-2, -1, 0
Let u(d) = -d**3 - 6*d**2 + d - 35. Let k be u(-7). Suppose k*j = 12*j. Factor j - 2/3*i - 1/3*i**4 + 1/3*i**2 + 2/3*i**3.
-i*(i - 2)*(i - 1)*(i + 1)/3
Let g(d) = 258*d**2 - 94*d + 11. Let t(r) = 775*r**2 - 281*r + 34. Let q(n) = -7*g(n) + 2*t(n). Factor q(i).
-(16*i - 3)**2
Suppose -86*h + 71 = -101. Let x(w) be the first derivative of -3/10*w**4 + 2 + 0*w + 14/15*w**3 - 2/5*w**h. Solve x(j) = 0 for j.
0, 1/3, 2
Let 4*c**4 - 44*c + 12*c**3 - 12*c**2 + 0*c**4 - 16 - 12 + 5 - 1 = 0. What is c?
-3, -1, 2
Suppose 34*l**2 + 29478 - 1734*l - 2/9*l**3 = 0. What is l?
51
Let w(u) be the first derivative of 9 + 0*u**3 + 2/15*u**5 - 2/3*u**2 + 1/3*u**4 - 2/3*u. Factor w(o).
2*(o - 1)*(o + 1)**3/3
Let q(b) be the first derivative of 3*b**4/32 - 3*b**3/8 - 27*b**2/16 - 15*b/8 - 326. Suppose q(k) = 0. Calculate k.
-1, 5
Let i be (-11)/(-22)*(-1)/(-5). Let o(q) be the third derivative of -1/8*q**4 + 0*q**3 + 0 + 0*q - i*q**5 - 1/40*q**6 - 4*q**2. Factor o(p).
-3*p*(p + 1)**2
Let v be -2 - ((-1190)/252 + 15/6). Factor v*u - 2/9*u**3 + 2/9*u**2 - 2/9.
-2*(u - 1)**2*(u + 1)/9
Suppose -2*z = -5*a + 5, 3*a + 5*z - 30 = 4. Let y be 16/(-9) + (4 - 2). Factor y*l**5 - 2/9*l**a - 2/9*l**4 + 0 + 0*l + 2/9*l**2.
2*l**2*(l - 1)**2*(l + 1)/9
Suppose -6*y + 5 = -7. Suppose 5*b - y = -4*s, s - 3*b - 2 = 7. Factor 33*d**s + 5*d**5 + 30*d**4 + 12*d**3 + 3*d - 3*d.
5*d**3*(d + 3)**2
Let b(r) be the third derivative of 0*r + 1/378*r**7 + 0*r**3 - 32*r**2 + 1/3024*r**8 - 1/27*r**4 + 0 + 1/180*r**6 - 1/135*r**5. Solve b(n) = 0.
-2, 0, 1
Let u(c) be the first derivative of -5/9*c**3 - 15*c + 12 + 5*c**2. Determine t, given that u(t) = 0.
3
Suppose 6 = 4*t - 14, 33 = -4*w - 3*t. Let p = -8 - w. Solve 3*f + 3*f + 1 - p*f + f**2 = 0 for f.
-1
Factor 75*k**2 - 12*k**3 + 2 - 1 + 26 - 126*k.
-3*(k - 3)**2*(4*k - 1)
Let q(h) be the third derivative of h**2 + 0*h - 5/6*h**4 - 2*h**3 + 1/30*h**6 - 1/15*h**5 + 0. Determine o, given that q(o) = 0.
-1, 3
Find p, given that 2512*p + 35*p**3 + 30*p**2 - 2572*p - 5 - 35 - 15*p**4 = 0.
-1, -2/3, 2
Suppose -4*f + 22 = 2*g, -3*f + 24 = 4*g - 5. Let q be (-1 - (-172)/156)*f. Solve 0*k**3 - 2/13*k**5 + 4/13*k**4 + 0 + 2/13*k - q*k**2 = 0 for k.
-1, 0, 1
Suppose -q - 3*w = 2*w + 12, 0 = 2*q + 4*w. Suppose -y + q - 4 = 0. Factor -t**4 - t**y + 3*t**4 + 2*t**5 + 0*t**4.
t**4*(2*t + 1)
Let f(b) be the third derivative of -b**6/360 + 23*b**5/180 - 5*b**4/3 - 8*b**3 + 2*b**2 - 558. Factor f(u).
-(u - 12)**2*(u + 1)/3
Let l(c) be the third derivative of c**7/490 + c**6/280 - 3*c**5/140 - c**4/56 + c**3/7 + 2*c**2 + 11. What is q in l(q) = 0?
-2, -1, 1
Let r(q) be the second derivative of -6*q + 1/40*q**6 + 0 + 5/8*q**4 + 3/2*q**2 - q**3 - 1/5*q**5. Let s(v) be the first derivative of r(v). Factor s(m).
3*(m - 2)*(m - 1)**2
Suppose -8 = 4*w - g + 18, g = 2. Let b = w - -9. Suppose 0 - 9*i**2 + 24*i + b*i**3 - 12 - 6*i**2 = 0. Calculate i.
1, 2
Let b(i) = -6*i**3 + 231*i**2 - 210*i + 15. Let o(p) = -p**3 + 33*p**2 - 30*p + 2. Let w(d) = 2*b(d) - 15*o(d). Factor w(u).
3*u*(u - 10)*(u - 1)
Let x = 5395/3 + -1786. Suppose 8/3*w**2 - 4/3*w + x*w**3 + 3*w**5 + 34/3*w**4 + 0 = 0. Calculate w.
-2, -1, 0, 2/9
Let n = 57 + -49. Suppose n*a - a = 4*a. Find i such that 1/4*i**4 + 1/4*i**5 + 0*i**3 + 0*i + a + 0*i**2 = 0.
-1, 0
Let u(t) = 2*t**2 - 3*t - 5. Let n be u(-3). Suppose 62*z - n*z**3 + 18*z**3 - 46*z = 0. What is z?
-2, 0, 2
Let y(v) be the third derivative of -5*v**9/3024 + v**8/168 - v**7/168 - 5*v**3/3 - 5*v**2. Let n(x) be the first derivative of y(x). Factor n(t).
-5*t**3*(t - 1)**2
Let w be 21/28*(82/66 - (42 - 41)). Let 0 + w*t**2 - 2/11*t**4 + 2/11*t - 2/11*t**3 = 0. Calculate t.
-1, 0, 1
Let g(b) be the first derivative of -b**7/3780 - b**6/270 - b**5/108 + 4*b**3 + 11. Let o(p) be the third derivative of g(p). Factor o(t).
-2*t*(t + 1)*(t + 5)/9
Let v(x) be the third derivative of x**7/840 - x**6/160 - x**5/16 - 17*x**4/96 - x**3/4 + 77*x**2 + 2. Determine q so that v(