(b) = 0?
-1, 1
Let z be 2 + ((-240)/27)/5. Let q(l) be the first derivative of -2 - 2/9*l**2 + 4/9*l**4 + 2/27*l**3 + 0*l + z*l**5. Determine y so that q(y) = 0.
-1, 0, 2/5
Suppose -2/7*x - 32/7*x**3 + 0 + 16/7*x**2 = 0. Calculate x.
0, 1/4
Let q be -2 - (0 + 8*5). Let w be (8/q)/(24/(-36)). Determine n so that 0*n + 6/7*n**3 + w*n**5 + 6/7*n**4 + 0 + 2/7*n**2 = 0.
-1, 0
Suppose -5*a + 5 = -0*a. Suppose m + 8 = -3*m, n + 2*m + a = 0. Factor -3*l**2 + 3*l**2 + 9 + n*l**2 + 12*l.
3*(l + 1)*(l + 3)
Let l(v) be the second derivative of v**5/20 + 2*v. Let z(a) = 4*a**5 - 4*a**4 - 16*a**3 + 20*a**2 - 8*a. Let c(n) = 4*l(n) + z(n). Factor c(p).
4*p*(p - 1)**3*(p + 2)
Let l = 12 - 10. Let u(c) be the third derivative of 0*c - c**l + 0 - 1/540*c**6 + 0*c**5 + 0*c**3 + 0*c**4. Factor u(z).
-2*z**3/9
Let z(t) be the first derivative of t**4/36 - t**2/6 - 3*t - 1. Let k(c) be the first derivative of z(c). Factor k(q).
(q - 1)*(q + 1)/3
Let w(k) be the second derivative of 11/80*k**5 - 25/168*k**7 + 0 - 1/4*k**4 + 0*k**2 + 2*k - 1/6*k**3 + 1/4*k**6. Find v, given that w(v) = 0.
-2/5, 0, 1
Let m(r) = -2 + 3*r**3 + 1 - 2*r**3. Let x(s) = s**3 + 3*s - 4. Let v(p) = -4*m(p) + x(p). What is j in v(j) = 0?
-1, 0, 1
Let d(o) be the third derivative of -o**6/120 + o**5/60 + o**4/12 + 5*o**2. Factor d(h).
-h*(h - 2)*(h + 1)
Factor 0 - 3/4*w**4 + 1/8*w**5 + 11/8*w**3 + 0*w - 3/4*w**2.
w**2*(w - 3)*(w - 2)*(w - 1)/8
Let s = -23 - -25. Let m be 1/3*3/2. Find n, given that -n**3 - 1/2*n**4 - m*n**s + 0 + 0*n = 0.
-1, 0
Let h(o) be the third derivative of 6*o**2 + 0 + 0*o**3 + 1/168*o**8 + 0*o + 1/15*o**5 + 0*o**4 + 0*o**7 - 1/20*o**6. Suppose h(j) = 0. What is j?
-2, 0, 1
Let p(g) be the first derivative of -g**6/30 + g**4/5 - 2*g**3/15 - 3*g**2/10 + 2*g/5 - 8. Factor p(q).
-(q - 1)**3*(q + 1)*(q + 2)/5
Let d(n) = -2*n**2 + 2*n. Let h(a) = -2*a**2 + 3*a - 1. Let r(y) = -3*d(y) + 2*h(y). Factor r(c).
2*(c - 1)*(c + 1)
Let t(d) be the third derivative of -2*d**2 - 1/15*d**4 - 2/15*d**5 + 0*d + 0 - 1/12*d**6 + 0*d**3. Suppose t(r) = 0. Calculate r.
-2/5, 0
Let u(s) be the first derivative of -s**7/840 + s**5/40 + s**4/12 - s**3/3 + 5. Let w(f) be the third derivative of u(f). Let w(o) = 0. What is o?
-1, 2
Let s = -13/4 - -47/12. Let d(t) be the first derivative of -1/6*t**4 - t**2 + s*t + 2/3*t**3 - 1. Factor d(q).
-2*(q - 1)**3/3
Let m(f) be the first derivative of -f**4/42 + 4*f**3/63 - 7. Solve m(d) = 0.
0, 2
Let -4*r**4 + 0*r**5 + 11*r**2 - r**5 - 5*r**3 - 13*r**2 = 0. What is r?
-2, -1, 0
Factor -2/11*g + 0 - 6/11*g**2 - 6/11*g**3 - 2/11*g**4.
-2*g*(g + 1)**3/11
Let j(t) be the third derivative of -t**7/840 - t**6/160 - t**5/240 + t**4/32 + t**3/12 - 5*t**2. Factor j(i).
-(i - 1)*(i + 1)**2*(i + 2)/4
Let x(g) = -g + 10. Let q be x(8). Factor 3*y + y**3 + 6*y**2 + 2 + y**2 - 1 - 4*y**q.
(y + 1)**3
Let s = -42 - -46. Let b(x) be the third derivative of 0*x**3 - 1/360*x**5 + 0*x - 2*x**2 + 0*x**s + 0. Solve b(d) = 0 for d.
0
Suppose 5*h - 2*u - 17 = 0, 6 = 3*h - 3*u - 6. Let 1/3*g**5 - 2/3*g**4 + 0*g**h + 2/3*g**2 - 1/3*g + 0 = 0. Calculate g.
-1, 0, 1
Let p(d) be the first derivative of -7*d**6/6 - 9*d**5/5 + 3*d**4 + 4*d**3/3 - 22. Let p(o) = 0. What is o?
-2, -2/7, 0, 1
Factor 8*u + 48 + 1/3*u**2.
(u + 12)**2/3
Factor 3 + 1/3*j**2 - 2*j.
(j - 3)**2/3
Let x = 40 - 77/2. Determine h, given that x*h**3 - 3/2*h**4 + 3/2*h**2 - 3/2*h + 0 = 0.
-1, 0, 1
Let c(p) = 7*p**4 + 10*p**3 - p**2 + 8*p + 6. Let s(b) = b**4 + b**3 - b**2 + b + 1. Let n(d) = c(d) - 6*s(d). Factor n(z).
z*(z + 1)**2*(z + 2)
Let v(k) be the second derivative of -k**6/75 + k**5/25 + 2*k**4/15 - 2*k**3/15 - 3*k**2/5 - 11*k. Suppose v(q) = 0. Calculate q.
-1, 1, 3
Let l(i) be the first derivative of i**7/42 - i**6/30 - i**5/20 + i**4/12 - i - 3. Let a(z) be the first derivative of l(z). Let a(b) = 0. Calculate b.
-1, 0, 1
Let x be (-4)/18 + 9544/99. Let s = x + -96. Factor 0*w + 0 + s*w**2.
2*w**2/11
Let d(g) be the third derivative of g**6/1440 - g**4/96 - g**3/3 - g**2. Let y(s) be the first derivative of d(s). What is a in y(a) = 0?
-1, 1
Suppose 4*i + 1 = -2*k + 21, 5*k - 22 = -3*i. Suppose -7*r**2 + 7*r - 2 + 9*r**3 - 2*r**2 - 4*r**3 - r**i = 0. Calculate r.
1, 2
Let n(l) = -l**2 + 1. Let w(g) be the third derivative of -g**5/20 - g**4/6 - g**3/6 + 4*g**2. Let f(i) = -n(i) + w(i). Factor f(u).
-2*(u + 1)**2
Let p(l) be the first derivative of -l**6/120 + l**4/24 - l**2 - 1. Let j(s) be the second derivative of p(s). Factor j(c).
-c*(c - 1)*(c + 1)
Let r(f) be the third derivative of -f**9/30240 + f**5/60 - 4*f**2. Let p(w) be the third derivative of r(w). Factor p(z).
-2*z**3
Factor 0 - 2*o**2 - 2/3*o**4 + 0*o - 8/3*o**3.
-2*o**2*(o + 1)*(o + 3)/3
Let g(s) = -10*s**3 + 4*s - 6. Let u(c) = -5 + c**2 - 2*c - c**3 + c + 4 + 2*c. Suppose 0 - 2 = 2*k. Let j(r) = k*g(r) + 6*u(r). Factor j(q).
2*q*(q + 1)*(2*q + 1)
Let y(h) = 12*h**2 - 9*h. Let w(v) = 2*v**2 + 2*v - 5. Let i(b) = -b**2 - 2*b + 4. Let q(a) = -5*i(a) - 4*w(a). Let k(p) = 21*q(p) + 5*y(p). Factor k(r).
-3*r*(r + 1)
Let w = -2242/5 + 450. Factor -2/5*x**2 + 8/5*x - w.
-2*(x - 2)**2/5
Let v(d) be the third derivative of d**7/70 + d**6/40 - d**5/20 - d**4/8 - 4*d**2. Suppose v(t) = 0. What is t?
-1, 0, 1
Let j be -1*(-2 + -2*(-10)/14). Let a = 4/13 - 2/91. Factor a + j*p + 2/7*p**2.
2*(p + 1)**2/7
Let -12/7*s**3 - 12/7*s**2 - 4/7*s - 4/7*s**4 + 0 = 0. What is s?
-1, 0
Suppose -5*a = -4*a + 6. Let q = 20/3 + a. Let q + 1/3*x**2 + x = 0. What is x?
-2, -1
Let h(g) = g - 8. Let k be h(6). Let p be (-4)/k*5/2. Factor -5*u**5 + 0*u - 2*u**4 + 4*u**3 - 2*u + 3*u**p - 2 + 4*u**2.
-2*(u - 1)**2*(u + 1)**3
Let y = -8 - -8. Suppose -5*x = -3*x. Factor -2/5*h**4 + x + 0*h**2 + 0*h**3 + y*h.
-2*h**4/5
Let p(o) be the third derivative of o**5/36 - 5*o**3/18 + 14*o**2. Solve p(q) = 0.
-1, 1
Let x(h) = 10*h**2 + 50*h - 5. Let d(b) = 15*b**2 + 75*b - 7. Let f(a) = -5*d(a) + 7*x(a). Factor f(t).
-5*t*(t + 5)
Let h(a) = -18*a**2 + 288*a + 465. Let n(x) = -x**2 + 18*x + 29. Let i(w) = -2*h(w) + 33*n(w). Factor i(q).
3*(q + 3)**2
Let l(i) be the second derivative of i**7/42 - i**6/30 + 4*i. Let z(f) = -f**5 + f**4. Let h(j) = 4*l(j) + 3*z(j). Find m such that h(m) = 0.
0, 1
Let y be (-10)/3*3/(-11). Let k = -29/44 + y. Let 1/4 - k*j**3 - 3/4*j + 3/4*j**2 = 0. Calculate j.
1
Let c = 112 - 335/3. Let l(p) be the first derivative of -2/9*p**3 + 1/6*p**4 + 2 - c*p**2 + 2/3*p. Determine i, given that l(i) = 0.
-1, 1
Let g be (0 + 0)/(-1 + 0). Let d = -155/4 + 39. Factor g + 1/2*x**2 - d*x - 1/4*x**3.
-x*(x - 1)**2/4
Factor -5*a**4 + 59 + 41 - 40*a - 85 + 30*a**2.
-5*(a - 1)**3*(a + 3)
Let x be 10/3*(-6)/(-4). Suppose 0 = -4*i + 20, -3 - 12 = -x*c - i. Find p, given that 22/5*p - 4/5 - 18/5*p**c = 0.
2/9, 1
Let f(b) be the first derivative of b**5/210 + b**4/42 - 3*b**2/2 - 4. Let w(y) be the second derivative of f(y). Factor w(u).
2*u*(u + 2)/7
Suppose 0 = 4*z + 4*n - 14 + 6, -4*z - 2*n + 8 = 0. Suppose 14 = 4*x - z*v, 1 = 3*x - 4*v - 17. Solve -1/4 - 1/2*m - 1/4*m**x = 0.
-1
Let c(r) = r - 5. Let x be c(5). Suppose 4*z + x*y = 4*y + 28, 3*y = -12. Determine g, given that 0*g + 1/2*g**2 - 1/2*g**4 + 0 - 1/2*g**5 + 1/2*g**z = 0.
-1, 0, 1
Let d(x) = 3*x**2 - 2*x + 1. Let l be d(2). Suppose -c + l = -3*u, u = -0 - 2. Find o such that -3*o**3 - c - 9*o**2 + 0*o**3 - 6*o + 3 = 0.
-2, -1, 0
Let g = 1981/12 + -165. Let l(k) be the first derivative of 1/18*k**6 + 1/15*k**5 - 1 + 0*k**2 + 0*k - 1/9*k**3 - g*k**4. Factor l(v).
v**2*(v - 1)*(v + 1)**2/3
Factor s**4 + s**4 + s**3 + s**3.
2*s**3*(s + 1)
Let m(w) be the second derivative of 10*w + 16*w**2 + 46/3*w**4 + 9/5*w**5 + 18/7*w**7 + 0 - 36/5*w**6 - 24*w**3. Solve m(c) = 0 for c.
-1, 2/3, 1
Let p(i) be the first derivative of i**6/15 + 2*i**5/5 + 3*i**4/10 - 2*i**3/3 - 4*i**2/5 - 23. Let p(f) = 0. Calculate f.
-4, -1, 0, 1
Let d(u) be the first derivative of 0*u**3 - 4/25*u**5 - 1/10*u**4 + 9 - 1/15*u**6 + 0*u**2 + 0*u. Factor d(p).
-2*p**3*(p + 1)**2/5
Let d = -3 - -5. Let w(n) be the third derivative of 0 - n**d + 0*n + 1/28*n**4 - 1/21*n**3 + 2/105*n**5. Factor w(v).
2*(v + 1)*(4*v - 1)/7
Let i = -188 + 755/4. Factor -3/4 + 3/2*k**2 - i*k.
3*(k - 1)*(2*k + 1)/4
Suppose s = 4*s + 810. Let t = 1894/7 + s. Factor 0*d + 0 