*o**5 + 0 - 1/360*o**6 - 6*o**2 + m*o**3 + 0*o. Suppose j(w) = 0. Calculate w.
1
Let n(b) = b**2 + b + 2. Let w(q) = q**2 + q + 3. Let a(d) = -4*n(d) + 3*w(d). Let t(f) = 3*f + 5. Let x(v) = a(v) - t(v). Find k, given that x(k) = 0.
-2
Determine q so that -12/5*q**3 + 8/5*q**2 + 0 + 0*q - 4*q**4 = 0.
-1, 0, 2/5
Let z be 2/(-13) + 2044/104 + -12. Factor 5*m**2 + 0*m + 0 - z*m**3.
-5*m**2*(3*m - 2)/2
Let y(l) = -10*l**3 - 50*l**2 - 25*l - 5. Let q(n) = -5*n**3 - 25*n**2 - 14*n - 2. Let b(k) = -5*q(k) + 2*y(k). Factor b(c).
5*c*(c + 1)*(c + 4)
Let y(h) be the first derivative of -8/11*h - 1/11*h**4 + 2 + 8/11*h**2 + 2/55*h**5 - 2/11*h**3. Suppose y(s) = 0. Calculate s.
-2, 1, 2
Let x(s) be the second derivative of s**4/12 - 5*s**3/6 - s**2/2 + 2*s. Let y(v) = 2*v**2 - 8*v - 2. Let g = -2 + -3. Let p(l) = g*y(l) + 8*x(l). Factor p(b).
-2*(b - 1)*(b + 1)
Let l(h) be the second derivative of 7*h**4/12 - 5*h**3/2 - 9*h**2 + 14*h. Factor l(p).
(p - 3)*(7*p + 6)
Let w be (-68)/(-10) + (-4)/(-20). Suppose -4*m - 3 = f + w, -2 = -4*f - 2*m. Factor -159 - 11*t**f + 143 + 32*t - t**2.
-4*(t - 2)*(3*t - 2)
Let v = -1848 - -168172/91. Let q = v + 79/273. Factor -q - 1/9*n**2 + 4/9*n.
-(n - 3)*(n - 1)/9
Let k(m) = -m. Let i(z) = 2*z**2 + 15*z + 18. Suppose -u = 0, -6*v + 4*v + 12 = -3*u. Let j(o) = v*k(o) + 2*i(o). Solve j(d) = 0 for d.
-3
Let y(u) be the third derivative of u**7/7560 + u**6/1080 + u**5/360 - u**4/6 - 4*u**2. Let t(o) be the second derivative of y(o). Find q, given that t(q) = 0.
-1
Factor 11/4*v - v**2 - 3/2 - 1/4*v**3.
-(v - 1)**2*(v + 6)/4
What is y in -70*y + 12 + 12*y**2 + 0*y**3 + 48*y - 2*y**3 = 0?
1, 2, 3
Let q(o) be the third derivative of -o**5/15 + 29*o**4/6 - 36*o**3 + 15*o**2 - 6. Factor q(u).
-4*(u - 27)*(u - 2)
Let f be (1 + 13)*((-10)/(-35) - 0). Let r(s) be the first derivative of -s**5 + 0*s**3 + 0*s - 1/2*s**f - 5 + 7/6*s**6 + 0*s**2. Factor r(k).
k**3*(k - 1)*(7*k + 2)
Let q(l) be the first derivative of 2*l**7/35 - l**6/30 - l**2 - 13. Let d(u) be the second derivative of q(u). Suppose d(k) = 0. Calculate k.
0, 1/3
Let n(r) be the third derivative of -21*r**2 + 0*r - 25/96*r**4 + 5/4*r**3 + 1/48*r**5 + 0. Factor n(z).
5*(z - 3)*(z - 2)/4
Let z(c) = -c**3 + 60*c**2 + 54*c + 431. Let h be z(61). Factor -4/9*m**2 + 2/9*m**5 + 4/9*m**h - 2/9*m + 0 + 0*m**3.
2*m*(m - 1)*(m + 1)**3/9
Let -22/3 + 8*w - 2/3*w**2 = 0. Calculate w.
1, 11
Let p(b) = -4*b - 11. Let d be p(-4). Let g be (32/20)/(2/d). Suppose 2*m**5 - 5/2*m**3 - 1 - 25/4*m**2 + 5*m**g + 5*m = 0. Calculate m.
-2, 1/2
Let g = -80 - -84. Determine q, given that 2615*q + 3 - 169*q**2 - 2641*q - g = 0.
-1/13
Let r(f) be the third derivative of 0*f**4 - 1/294*f**8 - 2/245*f**7 + 1/70*f**6 - 14*f**2 + 0*f**3 + 0*f + 0 + 2/105*f**5. Find i, given that r(i) = 0.
-2, -1/2, 0, 1
Let p(x) be the third derivative of 0*x**4 + 0*x + 0 - 6*x**2 + 0*x**3 - 1/12*x**5. Let p(l) = 0. What is l?
0
Suppose 16*j - 15*j - 3*m = 43, 4*j + 5*m = 121. Suppose j*w - 38*w = -8. Find r, given that -6/7*r - 2/7*r**3 + 6/7*r**w + 2/7 = 0.
1
Suppose -6*h = 819 + 909. Let l be (h/57 + 5)/((-1)/2). Find a, given that -l*a**2 + 4/19*a - 2/19 = 0.
1
Let v = 777/4 - 194. Let w(n) be the second derivative of -1/16*n**4 - v*n**3 - 3/8*n**2 + n + 0. Factor w(y).
-3*(y + 1)**2/4
Let a(s) be the second derivative of -s**5/50 + s**4/5 - 4*s**3/5 - 2*s**2 + 5*s. Let k(m) be the first derivative of a(m). Let k(h) = 0. Calculate h.
2
Let l(a) = 2*a**5 - 14*a**4 + 34*a**3 - 14*a**2 + 4*a + 4. Let d(r) = -r**4 - r**3 - r - 1. Let u(s) = 4*d(s) + l(s). Determine p, given that u(p) = 0.
0, 1, 7
Let -2/19*i**3 - 162/19 - 2*i**2 - 198/19*i = 0. What is i?
-9, -1
Factor 4*u + 14/9*u**2 - 2/9*u**3 + 0.
-2*u*(u - 9)*(u + 2)/9
Let u(b) be the second derivative of 1/6*b**2 + 0 - 1/120*b**5 - 6*b - 1/180*b**6 + 5/36*b**3 + 1/24*b**4. Factor u(m).
-(m - 2)*(m + 1)**3/6
Let u(i) be the second derivative of 0 + 1/3*i**3 + 1/21*i**7 - 1/3*i**4 + i**2 - 2*i + 1/15*i**6 - 1/5*i**5. Let u(b) = 0. What is b?
-1, 1
Let p(w) be the first derivative of w**5/240 + w**4/32 + 5*w**2/2 - 22. Let i(k) be the second derivative of p(k). Factor i(z).
z*(z + 3)/4
Let -2/7 - 1/7*d**3 + 1/7*d + 2/7*d**2 = 0. What is d?
-1, 1, 2
Suppose 3*z + 5 = 5*s, 3*s = -3*z + 1 + 2. Let p(m) be the first derivative of 2/15*m**3 + s + 8/5*m + 4/5*m**2. Solve p(r) = 0 for r.
-2
Let j(x) be the second derivative of -x**7/21 - 8*x**6/15 - 13*x**5/10 - x**4 + 20*x. Factor j(v).
-2*v**2*(v + 1)**2*(v + 6)
Let x = -10402 - -10402. Factor 0*l - l**3 + 0 + 1/3*l**4 + x*l**2.
l**3*(l - 3)/3
Let v = -29049 + 261442/9. Find u such that 0*u + 0 + 0*u**2 - v*u**3 - 1/9*u**4 = 0.
-1, 0
Factor -10*u**4 - 28*u + 5 - 14 + 12*u**3 - 15 + 6*u**4 + 12*u**2.
-4*(u - 3)*(u - 2)*(u + 1)**2
Let q(j) = -12*j**3 + 12*j**2 - 4*j. Let w(v) = -v**4 - 24*v**3 + 25*v**2 - 9*v. Let a be (-6)/12 + (-34)/4. Let x(b) = a*q(b) + 4*w(b). Factor x(k).
-4*k**2*(k - 2)*(k - 1)
Let z(s) be the first derivative of s**6/2 + 6*s**5/5 - 9*s**4/4 - 8*s**3 - 6*s**2 + 179. Factor z(g).
3*g*(g - 2)*(g + 1)**2*(g + 2)
Let s be 3 + 1322/(-540) - (-5)/(-10). Let t(n) be the second derivative of 0*n**2 - 1/18*n**5 - 4*n + 1/27*n**4 + 0 - s*n**6 + 0*n**3. Factor t(i).
-2*i**2*(i + 1)*(7*i - 2)/9
Let d(j) be the second derivative of j**5/100 + j**4/3 - 7*j**3/10 - 173*j. Determine b, given that d(b) = 0.
-21, 0, 1
Let n be (-24)/(-4 + 0)*(-28)/(-112). Factor 1/2*i**4 + i**3 + 0*i - n*i**2 + 0.
i**2*(i - 1)*(i + 3)/2
Suppose -3*v = 2*v - 5. Suppose -q + 8 = -v. Factor 3 - q*c - 12*c**2 - 2 + 2.
-3*(c + 1)*(4*c - 1)
Let i(q) be the second derivative of q**6/6 - q**5/4 - 5*q**4/12 + 5*q**3/6 + 42*q. Determine a so that i(a) = 0.
-1, 0, 1
Let p(x) be the second derivative of 0*x**3 + 0 + 2*x + 1/30*x**6 + 1/20*x**5 - 1/42*x**7 - 1/12*x**4 + 0*x**2. Factor p(b).
-b**2*(b - 1)**2*(b + 1)
Let b = -6835 - -6838. Factor 0 + 1/8*a**5 + 0*a**b + 1/4*a**2 - 1/8*a - 1/4*a**4.
a*(a - 1)**3*(a + 1)/8
Solve -8/3*j**3 + 2/3*j**2 + 0*j + 7/6*j**4 + 0 = 0 for j.
0, 2/7, 2
Let y be (-92)/16 + 3 - 1/4. Let q be -3 + (y - (273/(-27) - -3)). What is p in -4/9*p**3 - q*p**2 - 2/9 - 8/9*p = 0?
-1, -1/2
Let t be -14 + (-6 - 20/(-1)). Factor 1/7 - 1/7*m**2 + t*m.
-(m - 1)*(m + 1)/7
Let q = -2/1199 - -9622/17985. Factor -q + 2/15*d**2 + 2/15*d**3 - 8/15*d.
2*(d - 2)*(d + 1)*(d + 2)/15
Let y(f) be the second derivative of -3*f**7/1120 + f**6/96 - f**5/80 + 3*f**3 + 13*f. Let q(z) be the second derivative of y(z). Solve q(s) = 0 for s.
0, 2/3, 1
Let w(y) be the first derivative of 0*y**3 + 6*y + 0*y**2 + 0*y**5 - 3 + 1/60*y**6 - 1/24*y**4. Let k(u) be the first derivative of w(u). What is i in k(i) = 0?
-1, 0, 1
Let c(k) be the first derivative of -14*k**3/15 + 17*k**2/10 - 3*k/5 + 483. Factor c(q).
-(q - 1)*(14*q - 3)/5
Let k(w) be the first derivative of -4*w**3/3 + 28*w**2 + 60*w - 87. Solve k(d) = 0.
-1, 15
Let n(c) be the third derivative of 0*c - 1/30*c**6 - 1/15*c**5 + 8/3*c**3 + 0 + 2/3*c**4 - 15*c**2. Factor n(f).
-4*(f - 2)*(f + 1)*(f + 2)
Suppose 5*q + 4*l = -1, 47*q = 49*q + 3*l + 6. Solve -53/2*t**2 + 2 - 2*t - 45/2*t**q = 0 for t.
-1, -2/5, 2/9
Let n(j) be the first derivative of -j**7/3360 + j**6/480 - j**4/24 - 40*j**3/3 - 4. Let g(a) be the third derivative of n(a). Find r such that g(r) = 0.
-1, 2
Let x(t) be the first derivative of -2*t**3/3 + 4*t**2/5 + 2*t/5 + 253. Determine o, given that x(o) = 0.
-1/5, 1
Suppose 0*f = -2*f + 4*b + 6, 3 = -3*b. Let r be f/6 - (-1)/(-6). Factor r*i - 2/5*i**2 + 2/5*i**4 + 0*i**3 + 0.
2*i**2*(i - 1)*(i + 1)/5
Let z be (-1 - 19)/(-4) - (16 - (-2096)/(-48)). Find t, given that -z - 2/3*t**2 + 28/3*t = 0.
7
Let u be 1/(-9) + (-31)/(-93). Factor -u*c + 2/9 - 2/9*c**2 + 2/9*c**3.
2*(c - 1)**2*(c + 1)/9
Let w(s) be the first derivative of s**5/70 - s**3/21 + 8*s - 4. Let p(f) be the first derivative of w(f). Factor p(c).
2*c*(c - 1)*(c + 1)/7
Let d be (-156)/(-36)*2 + 1 + -6. Factor -4/3*y + d*y**2 + 0.
y*(11*y - 4)/3
Let f(x) be the third derivative of -5*x**8/336 - x**7/2 + x**6/12 + 7*x**5/2 - 5*x**4/24 - 35*x**3/2 + 180*x**2. Suppose f(m) = 0. Calculate m.
-21, -1, 1
Let s(v) = v**3 - 7*v**2 + 10*v - 9. Let r be s(6). Determine t so that 36*t + 7 - r*t**4 + 2*t**3 + 12 - 38*t**3 + 3*t**2 