) be the first derivative of u**7/840 + u**6/180 - 19*u**3/3 + 2. Let v(y) be the third derivative of g(y). Solve v(f) = 0 for f.
-2, 0
Suppose -2*t = 4*t - 24. Let y(f) be the second derivative of -1/4*f**t + 3/20*f**5 + 3/2*f**2 - 1/2*f**3 + 0 + 2*f. Factor y(s).
3*(s - 1)**2*(s + 1)
Let v(t) = -18*t**2 - 36*t + 47. Let z(y) = 56*y**2 + 108*y - 144. Let s(m) = 20*v(m) + 7*z(m). Factor s(j).
4*(j - 1)*(8*j + 17)
Let c(f) be the third derivative of f**8/504 - f**7/42 + f**6/15 + 4*f**5/45 + f**2 + 53*f. Determine h, given that c(h) = 0.
-1/2, 0, 4
Factor 0 + 3/4*t**3 + 3/8*t**5 + 9/8*t**4 + 0*t**2 + 0*t.
3*t**3*(t + 1)*(t + 2)/8
Let y(l) be the second derivative of -3/133*l**7 - 17/57*l**3 - 14/95*l**6 - 2/19*l**2 + 0 + 15*l - 26/57*l**4 - 7/19*l**5. Suppose y(a) = 0. What is a?
-2, -1, -1/3
Let i = -28 + 16. Let n = -8 - i. Solve -8*s**2 - 6*s**3 + 10*s + 1 - n*s - 2 + 9*s**4 + 0 = 0.
-1, 1/3, 1
Suppose 0 = 4*g - 2*v - 40, 4*g + 2 - 46 = v. Solve -11*p**4 + 51*p**2 + 81*p + 3*p**3 - 69*p - g - 28*p**4 - 15*p**5 = 0.
-2, -1, 2/5, 1
Determine g so that 1/4*g + 5/4*g**2 + g**3 + 0 = 0.
-1, -1/4, 0
Let x(p) be the third derivative of -5*p**8/448 - 13*p**7/280 + 3*p**6/80 + p**5/4 - p**4/4 - 232*p**2. Let x(s) = 0. What is s?
-2, 0, 2/5, 1
Let k(u) be the second derivative of -u**5/180 - 5*u**4/36 + u**3/54 + 5*u**2/6 + 25*u. Factor k(r).
-(r - 1)*(r + 1)*(r + 15)/9
Let n(z) = -11*z**2 - 214*z - 14. Let q(f) = -56*f**2 - 1068*f - 72. Let w(y) = 36*n(y) - 7*q(y). Factor w(p).
-4*p*(p + 57)
Let f(i) be the first derivative of -i**3/5 + 18*i**2/5 + 39*i/5 + 64. Factor f(m).
-3*(m - 13)*(m + 1)/5
Let j = 225 + -223. Let g(h) be the second derivative of -1/25*h**6 + 0*h**j - 3/50*h**5 - 1/105*h**7 - 1/30*h**4 + 0 + 3*h + 0*h**3. What is t in g(t) = 0?
-1, 0
Let v be (-6)/33 - (-202)/22. Factor 2*j**3 - 8*j**2 + 15*j + 2*j**3 - v - 3*j**3 + j**2.
(j - 3)**2*(j - 1)
Let z = 97 - 91. Solve 34 - 76 + 3*b**5 + 42 + 9*b**4 + z*b**3 = 0.
-2, -1, 0
Let y(x) be the third derivative of 3/10*x**3 - 3/100*x**5 + 1/40*x**4 - 13*x**2 + 0*x + 0 - 1/200*x**6. Factor y(g).
-3*(g - 1)*(g + 1)*(g + 3)/5
Let j(r) be the third derivative of -r**6/210 + r**5/35 + r**4/7 - 16*r**3/21 + r**2 - 18. Factor j(d).
-4*(d - 4)*(d - 1)*(d + 2)/7
Let i(g) be the first derivative of -g**5/540 + g**4/108 + g**3/18 - 13*g**2/2 + 15. Let t(m) be the second derivative of i(m). Factor t(p).
-(p - 3)*(p + 1)/9
Let b(n) be the second derivative of 0*n**2 - 2/15*n**6 - 4/3*n**3 + 0 + 11*n + 1/3*n**4 + 2/5*n**5. Let b(g) = 0. What is g?
-1, 0, 1, 2
Let n(g) be the third derivative of 0 + 0*g + 40/3*g**4 + 1/24*g**6 + 0*g**3 - 4/3*g**5 - 36*g**2. Solve n(w) = 0.
0, 8
Suppose 302*n - 4*l - 20 = 298*n, -2*l - 10 = 3*n. Factor n + x**3 - 4/5*x + 3/10*x**4 + 2/5*x**2.
x*(x + 2)**2*(3*x - 2)/10
Suppose 16*y - 19*y + 12 = 0. Suppose y*n + 4 = 0, 2*m - 8 = n + n. Suppose -12*r**3 + 0 - m - 18*r - 3 + 3 - 27*r**2 = 0. Calculate r.
-1, -1/4
Let n be (-92)/(-3) + 10/30. Determine a, given that a**3 - 14*a - 3 - 5*a**3 + n*a**3 + 35*a - 45*a**2 = 0.
1/3, 1
Let -3*c**2 + 11*c**4 + 15*c**2 + 172*c**3 - 5*c**4 - 150*c**3 = 0. What is c?
-3, -2/3, 0
Let t be 9/(-6)*1*132/(-594). Determine v so that -1/3*v - v**3 + 0 + v**2 + t*v**4 = 0.
0, 1
Let a(h) = -19*h**2 + 5*h - 19. Suppose -26*b + 22*b = -144. Suppose 2*j + b = 8*j. Let r(w) = -10*w**2 + 2*w - 10. Let m(k) = j*a(k) - 11*r(k). Factor m(p).
-4*(p - 1)**2
Let h(v) = -v**2 - v + 12. Let q be h(-4). Let f(l) be the second derivative of 0*l**2 - 1/8*l**3 + q - 1/16*l**4 + 4*l. Factor f(r).
-3*r*(r + 1)/4
Let a(p) = -10*p**4 + 4*p**3 + 7*p**2 - 7. Let x(h) = -3*h**4 + h**3 + 2*h**2 - 2. Let s(u) = -4*a(u) + 14*x(u). Factor s(f).
-2*f**3*(f + 1)
Let z(l) = -l + 13. Let n be z(11). Factor 10 + 17*c**n + 44*c + 28*c**3 + 47*c**2 - 2.
4*(c + 1)**2*(7*c + 2)
Let h be (-26)/(-12) + 2/(-12). Solve -i - i**4 + i**2 - 2*i**2 - 2*i**h - 3*i**3 = 0.
-1, 0
Let b be (2 - 10)/(-2) - 24. Let g = 106/5 + b. Let -3/5*a**4 + 6/5*a + 0*a**2 + 3/5 - g*a**3 = 0. What is a?
-1, 1
Let n(i) = -3*i**2 - 26*i - 14. Let u be n(-8). Determine y so that 5*y**3 + 9*y**2 + 2*y**4 - 23*y**3 + 7*y**u = 0.
0, 1, 8
Find v such that 99/2*v + 18 - 6*v**4 + 3*v**3 - 1/2*v**5 + 40*v**2 = 0.
-12, -1, 3
Let f(g) be the third derivative of 0*g + 0 - 1/9*g**3 + 11*g**2 - 1/30*g**5 - 1/180*g**6 - 1/12*g**4. Suppose f(l) = 0. What is l?
-1
Suppose 2*g = 2 + 16. Factor 6*k**2 - g - 3*k**4 - 2*k + 2*k + 6.
-3*(k - 1)**2*(k + 1)**2
Let w(i) be the second derivative of -1/105*i**6 + 0*i**2 + 0*i**3 - 3*i + 0*i**5 + 1/42*i**4 + 0. Factor w(d).
-2*d**2*(d - 1)*(d + 1)/7
Let m(r) = -6*r. Let v be m(-2). Let n be (-4)/(-24)*v/9. Factor -2/9*a - n*a**2 + 0.
-2*a*(a + 1)/9
Let r(j) = -j**3 + 6*j**2 + 16*j. Let p be 1/(2 - (-45)/(-24)). Let z be r(p). Find x, given that 0 + 4/11*x**4 + z*x + 0*x**2 + 14/11*x**5 + 0*x**3 = 0.
-2/7, 0
Suppose -5*y + 18 = 3*h, -3*y + y + 1 = -5*h. Suppose -14*a = -47*a + 132. Factor 16*l + 9*l**3 + 5*l**2 - 16 + 7*l**2 + a*l**4 - 25*l**y.
4*(l - 2)**2*(l - 1)*(l + 1)
Factor -361/2*c**2 + 399/2*c**3 + 0 - 39/2*c**4 + 0*c + 1/2*c**5.
c**2*(c - 19)**2*(c - 1)/2
Let c(x) = 2 + 4*x**2 + 6 - 9 + 0 - x. Let a be c(-1). Factor 0*i - 6/5*i**3 + 0 + 1/5*i**2 - 4/5*i**5 + 9/5*i**a.
-i**2*(i - 1)**2*(4*i - 1)/5
Suppose 2*f + 45 = 4*n - 17, 5*n + 2*f = 100. Suppose -5*s = l + l - n, -3*s = -l - 13. Solve 2*k - s*k**3 - k**2 - 3*k**2 + 6*k**3 = 0 for k.
0, 1
Let g(o) be the second derivative of 3*o**5/16 - 101*o**4/8 + 260*o**3 - 300*o**2 + o + 179. Find i such that g(i) = 0.
2/5, 20
Factor -21/2 + 33/8*o - 3/8*o**2.
-3*(o - 7)*(o - 4)/8
Let k(i) be the third derivative of 1/30*i**6 + 33*i**2 - 1/6*i**4 - 1/15*i**5 + 2/3*i**3 + 0 + 0*i. Factor k(b).
4*(b - 1)**2*(b + 1)
Suppose -b**2 + 4 + 32*b - 21 - 14 + 0 = 0. Calculate b.
1, 31
Let j(w) be the second derivative of -w**5/5 - 11*w**4/3 - 68*w**3/3 - 48*w**2 - 293*w. Factor j(a).
-4*(a + 1)*(a + 4)*(a + 6)
Factor -56/9 + 8/3*z + 2/9*z**2.
2*(z - 2)*(z + 14)/9
Let r(y) be the second derivative of y**4/18 + 4*y**3/3 + 11*y**2/3 - 144*y. Factor r(o).
2*(o + 1)*(o + 11)/3
Let u = 3 - 2. Suppose 2*z + 3*h = -2*h - 11, -20 = -4*z + 4*h. Factor -u + 1/3*o**z + 2/3*o.
(o - 1)*(o + 3)/3
Let v(n) be the third derivative of -n**6/72 + n**5/36 + 85*n**4/72 + 25*n**3/6 + 19*n**2. Factor v(b).
-5*(b - 5)*(b + 1)*(b + 3)/3
Solve -16/7 + 22/7*s**3 + 50/7*s - 54/7*s**2 - 2/7*s**4 = 0 for s.
1, 8
Suppose -15*w + 0 - 3/7*w**2 = 0. What is w?
-35, 0
Let a(o) be the third derivative of o**9/40320 - o**8/4480 + o**7/1120 - o**6/480 - o**5/6 - 3*o**2. Let s(w) be the third derivative of a(w). Factor s(k).
3*(k - 1)**3/2
Let d = 197/320 - 1/64. Let h(l) be the first derivative of -d*l**5 + 2 + 0*l**2 - 3/2*l**4 + 0*l - l**3. What is b in h(b) = 0?
-1, 0
Factor 0*z + 1/6*z**4 + 2/3*z**3 - 5/6*z**2 + 0.
z**2*(z - 1)*(z + 5)/6
Let u(h) be the second derivative of -7*h**7/1080 + 7*h**6/540 - h**5/90 + 7*h**4/12 - 7*h. Let d(a) be the third derivative of u(a). Solve d(v) = 0 for v.
2/7
Let j(a) = -a**5 - a**4 + a**3 + a**2 - 1. Let w(b) = -15 - 6*b + 3 - 18*b**2 - 15*b - 3*b**5. Let m(o) = -6*j(o) + w(o). Solve m(p) = 0.
-1, 2
Let w(n) = -n**3 + 29*n**2 - 54*n - 77. Let m(h) = -15*h**2 + 27*h + 39. Let u(t) = -7*m(t) - 3*w(t). Find q such that u(q) = 0.
-7, -1, 2
Let n(i) be the second derivative of 0*i**2 - 5/9*i**3 + 0 + 1/60*i**5 - 28*i - 1/12*i**4. Factor n(r).
r*(r - 5)*(r + 2)/3
Suppose -3*m + 21 = 4*m. Determine c so that 2*c**4 - 3*c + 15*c**m - 7*c - 5*c - 5*c**2 + 10 - 7*c**4 = 0.
-1, 1, 2
Factor 0*u**4 - 3061*u**3 - 2*u**4 + 3067*u**3.
-2*u**3*(u - 3)
Let m(n) be the second derivative of 14*n**6/15 - 79*n**5/5 + 190*n**4/3 + 136*n**3 - 144*n**2 - 45*n. Solve m(k) = 0 for k.
-1, 2/7, 6
Let m(y) = 20*y**2 + 47*y - 51. Let p(l) = -7*l**2 - 16*l + 18. Let q(z) = -6*m(z) - 17*p(z). Factor q(h).
-h*(h + 10)
Let z be 18/6 + (-5 - 2 - -6). What is x in -3/5*x**4 - 3/5*x**3 - 6/5 + 3/5*x + 9/5*x**z = 0?
-2, -1, 1
Let s(i) be the third derivative of 10*i**5/3 - 5*i**4/24 - 13*i**2 - i. Solve s(b) = 0 for b.
0, 1/40
Let i(x) be the first derivative of -19 - 4/5*x + 2/15*x**3 - 1/5*x**2. Factor i(p).
2*(p - 2)*(p + 1)/5
Let r = 15 + 0. Suppose -2 = 2*t, s + 3*s = -t + r