ate z.
0, 1
Let i(f) be the third derivative of 0 + 0*f + 1/4*f**3 - 8*f**2 + 1/160*f**6 + 1/20*f**5 + 5/32*f**4. Find y, given that i(y) = 0.
-2, -1
Let c(a) be the second derivative of 0 - 4*a + 0*a**5 - 1/20*a**6 - 3/4*a**2 + 1/4*a**4 + 0*a**3. Find z, given that c(z) = 0.
-1, 1
Let x be ((-3)/5)/(3/(-15)). Factor d + d**5 - 2 - 2*d**2 - 2*d**x + d**4 + 3 + 0*d**5.
(d - 1)**2*(d + 1)**3
Let x(q) be the second derivative of -q**6/180 + q**5/40 - q**4/24 + q**3/36 - 5*q. Factor x(h).
-h*(h - 1)**3/6
Let o(w) be the first derivative of w**6/540 + w**5/90 + w**3 + 2. Let k(v) be the third derivative of o(v). Find j such that k(j) = 0.
-2, 0
Let s be (-4)/(-6)*18/4. Suppose s*f - f = 6. Solve 8*k + 36/5*k**2 + 16/5 + 2/5*k**4 + 14/5*k**f = 0.
-2, -1
Suppose -3*h + 34 = -h. Suppose -3*v + h = 5. Factor -2/3*q**3 + 2/3*q - 1/3*q**v + 0*q**2 + 1/3.
-(q - 1)*(q + 1)**3/3
Factor 60*c + 1 - 24*c - 21*c**2 + 11.
-3*(c - 2)*(7*c + 2)
Let o(q) be the first derivative of -5*q**3/12 + q**2 + q + 63. Let o(k) = 0. What is k?
-2/5, 2
Let q(x) be the first derivative of x**4/54 + 2*x + 3. Let z(r) be the first derivative of q(r). Factor z(p).
2*p**2/9
Let b(p) be the first derivative of -p**6/6 - 2*p**5/5 + p**4/4 + 2*p**3/3 - 6. Factor b(t).
-t**2*(t - 1)*(t + 1)*(t + 2)
Suppose 0 = -r - 5, 5 = 4*w - 5*r - 28. Factor -2*k + k + 5*k**4 + 4*k**5 - w*k**4 - 4*k**2 + k**4 - 3*k**3.
k*(k - 1)*(k + 1)*(2*k + 1)**2
Factor 3/5*h**4 - 3/5*h**2 + 0*h**3 + 0*h + 0.
3*h**2*(h - 1)*(h + 1)/5
Let q = 972940765/1386 + -701977. Let m = q - 3/154. Determine l so that 2/9 + m*l + 2/9*l**2 = 0.
-1
Let m be 2/(-3) - -5*(-2)/(-15). Factor 2/3*d**2 - 2/3*d**4 + 1/3*d**5 + 0 - 1/3*d + m*d**3.
d*(d - 1)**3*(d + 1)/3
Let q(y) be the second derivative of y + 4/33*y**3 + 1/33*y**4 + 1/2*y**2 + 0 + 1/330*y**5. Let i(t) be the first derivative of q(t). Factor i(h).
2*(h + 2)**2/11
Let s(p) be the second derivative of 2*p - 49/12*p**4 - 2*p**2 + 0 - 14/3*p**3. Factor s(r).
-(7*r + 2)**2
Let n(x) be the third derivative of x**9/45360 + x**8/20160 - x**7/7560 - x**6/2160 - x**4/24 - 3*x**2. Let m(y) be the second derivative of n(y). Factor m(z).
z*(z - 1)*(z + 1)**2/3
Let x(g) be the first derivative of -g**2/2 + 6*g + 2. Let o be x(6). Factor o*t**2 - 4/3*t**3 - 2/3*t**4 + 2/3 + 4/3*t.
-2*(t - 1)*(t + 1)**3/3
Let h(y) be the first derivative of 1/5*y**4 + 8 - 2/5*y + 4/25*y**5 + 1/30*y**6 - 1/2*y**2 - 2/15*y**3. Suppose h(j) = 0. Calculate j.
-2, -1, 1
Let c(j) be the first derivative of -1/2*j**4 - 2*j + 1/6*j**6 + 3 - 8/3*j**3 + 2/5*j**5 - 7/2*j**2. Let c(d) = 0. Calculate d.
-1, 2
Let o be 2/5*(0 - -25). Suppose -f - o = -6*f. Factor 5*b + 2*b**f - 2*b - b.
2*b*(b + 1)
Solve -3 - 36*u**2 - 51/2*u**3 - 39/2*u - 6*u**4 = 0.
-2, -1, -1/4
Let u(d) be the third derivative of -d**8/5600 + d**7/1575 - d**6/1800 - d**4/24 + 4*d**2. Let n(c) be the second derivative of u(c). Factor n(m).
-2*m*(m - 1)*(3*m - 1)/5
Suppose p + 2 = 2*p. Let l = 1 + p. Factor -3*u**5 + 2 - 2*u**3 - 2*u**2 + 2*u**5 - 3 + l*u**4 + 3*u.
-(u - 1)**4*(u + 1)
Let p(o) be the first derivative of o**6/24 + o**5/20 - o**4/8 - o**3/6 + o**2/8 + o/4 + 7. Determine j so that p(j) = 0.
-1, 1
Let v(c) = -c + 1. Let i(n) = 144*n**2 + 45*n + 7. Let o(x) = i(x) - 3*v(x). Let o(k) = 0. What is k?
-1/6
Let y(b) be the second derivative of b**10/60480 + b**9/7560 + b**8/2688 + b**7/2520 + b**4/6 - 2*b. Let f(h) be the third derivative of y(h). Factor f(q).
q**2*(q + 1)**2*(q + 2)/2
Let g(n) be the first derivative of 3*n**4/14 + 8*n**3/21 + n**2/7 + 7. Factor g(u).
2*u*(u + 1)*(3*u + 1)/7
Suppose 5*i + 5*o = 30, -3*i - 2*o + 28 = 8. Let a(j) be the first derivative of -2*j**3 - 6*j**2 - 1/4*j**4 - i*j + 2. Let a(b) = 0. What is b?
-2
Let r(h) be the third derivative of h**6/24 - 5*h**5/12 + 5*h**4/3 - 10*h**3/3 + 3*h**2 - 4*h. Factor r(y).
5*(y - 2)**2*(y - 1)
Let h = 5 - 1. Factor 0*l**h - l**5 - l**4 + 0*l**4 + 0*l**4.
-l**4*(l + 1)
Factor -4*x + 1 + 8*x - 2*x**3 - 2*x - x**4.
-(x - 1)*(x + 1)**3
Let -21/8*f**3 + 3/4*f**2 + 3/2*f**4 + 0 + 3/8*f = 0. What is f?
-1/4, 0, 1
Let k(d) be the third derivative of -d**8/112 + d**7/14 - d**6/5 + d**5/5 - 20*d**2. Let k(u) = 0. Calculate u.
0, 1, 2
Let i(h) = 3*h**2 + 2*h. Let z be i(-2). Factor 8*b + 6*b**2 + z*b**2 - 18*b**2.
-4*b*(b - 2)
Solve 3/5*x**4 + 0*x + 6/5*x**2 + 9/5*x**3 + 0 = 0 for x.
-2, -1, 0
Let k = 1027/6234 + 2/1039. Determine z, given that 0*z + 1/6*z**4 - k*z**5 + 0*z**2 + 0 + 0*z**3 = 0.
0, 1
Factor 6*c + 3231 + 3*c**2 - 3231.
3*c*(c + 2)
Let q be 7/(-2)*(-1 - (-6)/14). Factor 1/3*t**q + 2/3 - t.
(t - 2)*(t - 1)/3
Let g(j) be the second derivative of -j**6/60 + j**5/30 + j**4/12 - j**3/3 + 3*j**2/2 + 2*j. Let a(z) be the first derivative of g(z). Let a(k) = 0. What is k?
-1, 1
Let i(j) be the first derivative of -3*j**4/4 - 3*j**3 - 3*j**2 + 12. Factor i(u).
-3*u*(u + 1)*(u + 2)
Let x(s) be the third derivative of 1/9*s**3 + 0*s + 5/18*s**5 - 5/18*s**4 - 3*s**2 + 0. Determine q, given that x(q) = 0.
1/5
Let t(n) be the first derivative of 5*n**6/2 - 4*n**5 - 5*n**4/2 + 20*n**3/3 - 5*n**2/2 - 6. Find g such that t(g) = 0.
-1, 0, 1/3, 1
Let i be -2*(-2)/(-4)*-3. Let w be i/(69/6 - 1). Factor 6/7*j + w + 4/7*j**2.
2*(j + 1)*(2*j + 1)/7
Factor 3*o**2 + 36/5 + 21/5*o**3 - 132/5*o.
3*(o - 2)*(o + 3)*(7*o - 2)/5
Let k(l) be the second derivative of -3*l**5/20 - l**4 - 3*l**3/2 - 3*l. Factor k(m).
-3*m*(m + 1)*(m + 3)
Find a such that -1/4*a**3 - 1/2 + 0*a**2 + 3/4*a = 0.
-2, 1
Let t(s) be the first derivative of s**6/24 + 3*s**5/20 + s**4/8 + 15. Find v such that t(v) = 0.
-2, -1, 0
Let z(g) be the second derivative of 2*g + 0*g**2 + 3/5*g**5 + 0*g**3 + 0*g**4 + 0 + 2/5*g**6 + 1/14*g**7. Let z(u) = 0. What is u?
-2, 0
Let r(t) = -9*t**2 - 4*t - 5. Let o(j) = 7 + 0*j + 6*j + 0*j**2 + 14*j**2 + 1. Let x(b) = 5*o(b) + 8*r(b). Factor x(w).
-2*w*(w + 1)
Suppose -4*f - 4*j = -0*j - 20, -5*f + 15 = -5*j. Factor -24*l + 8*l**f + 14*l**3 - 12*l**2 - 2*l**4 + 10 + 6.
2*(l - 1)*(l + 2)**2*(3*l - 2)
Let v = 103 - 307/3. Factor 2/3*l**3 + 0*l + v*l**4 + 0*l**2 + 0.
2*l**3*(l + 1)/3
Let p = 3 - 1. What is c in -7*c - c - p - 6*c**2 + c**3 + 3*c - 2*c + 2*c**4 = 0?
-1, -1/2, 2
Let d(v) = 5*v**2 - v + 5. Let q(y) = -2*y**2 - 2. Suppose -2*t - 19 = -1. Let j(h) = t*q(h) - 4*d(h). Factor j(k).
-2*(k - 1)**2
Let d(l) = -6*l**2 - 11*l + 74. Let g(t) = 5*t**2 + 12*t - 75. Let x(o) = -6*d(o) - 7*g(o). Factor x(u).
(u - 9)**2
Let b(k) be the third derivative of -7*k**6/60 - 3*k**5/10 - k**4/6 + 22*k**2. Determine i so that b(i) = 0.
-1, -2/7, 0
Suppose 0 = 2*y - d - 5, -y + 4*d = -0*y + 8. Factor 3/2*m**y + 3/2*m**3 + 1/2*m**5 + 1/2*m**2 + 0 + 0*m.
m**2*(m + 1)**3/2
Let d(m) = m**3 - 6*m**2 - 9*m + 10. Let r be d(7). Let b = 1 - r. Solve -2*j**2 - 3 + b*j + 7*j**2 - 2*j - 3*j**3 - 2*j**2 = 0.
-1, 1
Suppose y - 16 = -3*y. Solve 3*v**y - v - 12*v**5 + 4*v**3 - 2 + v**4 - 4*v + 13*v**5 - 2*v**2 = 0.
-2, -1, 1
Let d be ((-43)/9 + 5)*(3 - -6). Determine x so that -16/5*x - 32/5 - 2/5*x**d = 0.
-4
Let i(l) = l**3 - 7*l**2 - 7*l - 6. Let c = -6 - -14. Let m be i(c). Let -6*p**m - 6*p - 1 - 4 + 3 + 3*p**3 - 5*p**3 = 0. Calculate p.
-1
Let 7*v**2 + 15*v**3 - 18 + 3*v**2 - 17*v**3 + 16*v - 22*v = 0. What is v?
-1, 3
Let v(z) be the first derivative of -5*z**3/3 + 5*z**2 + 15*z - 37. Solve v(b) = 0.
-1, 3
Let n(j) be the second derivative of -1/50*j**5 + 0 - 1/5*j**4 - 3*j - 8/5*j**2 - 4/5*j**3. Factor n(i).
-2*(i + 2)**3/5
Let o(c) be the second derivative of -1/36*c**4 + 0*c**3 + 0*c**2 + 3*c + 1/60*c**5 + 0. Determine q, given that o(q) = 0.
0, 1
Let h(n) = -2*n. Let v be h(-2). Let g be (2/v)/(4/32). Factor g*p**3 - 12*p**2 - 24 - 2*p**3 + 8 + 24*p.
2*(p - 2)**3
Let p(n) be the first derivative of -n**5/150 - n**4/90 + n**3/45 + n**2/15 + 8*n - 6. Let j(g) be the first derivative of p(g). Factor j(o).
-2*(o - 1)*(o + 1)**2/15
Let d(p) be the third derivative of -p**9/272160 + p**7/7560 + p**6/1620 - p**5/30 + p**2. Let j(f) be the third derivative of d(f). Factor j(z).
-2*(z - 2)*(z + 1)**2/9
Let c be ((-40)/(-6) + -2)/((-30)/(-9)). Suppose 0 - 2/5*u + c*u**2 = 0. Calculate u.
0, 2/7
Let l(a) be the first derivative of 2/3*a + 1 - 1/3*a**3 + 1/6*a**2. Let l(h) = 0. Calculate h.
-2/3, 1
Suppose -q - 1 = 0