 be (-4 + 2)*(-2)/j. Factor -1/3*i**2 + 1/3*i**3 + 0 - 1/3*i + t*i**4.
i*(i - 1)*(i + 1)**2/3
Let i be (2/4)/((-3)/(-12)). Factor -z + z**2 + 2*z + 0*z**i.
z*(z + 1)
Factor 10*t**3 + 10*t**3 - 5*t**2 - 36*t**3 + 11*t**3 + 10*t.
-5*t*(t - 1)*(t + 2)
Suppose -3 - 1 = -4*s. Let x be s - 1 - (-3)/3. Let y(j) = -j**3 + j**2 + 5*j - 5. Let l(d) = -d + 1. Let f(q) = x*y(q) + 5*l(q). What is n in f(n) = 0?
0, 1
Suppose 54*b**2 + 243/5 + 1/5*b**5 + 81*b + 3*b**4 + 18*b**3 = 0. Calculate b.
-3
Let h(w) = 15 - w**2 - 4*w**3 + 3*w**3 + 2*w**2. Let n be h(0). Factor -23*u**3 + n*u**4 + u**4 + 9*u**3 - 6*u**5 + 4*u**2.
-2*u**2*(u - 1)**2*(3*u - 2)
Suppose 0 = -3*m - m - 40. Let z be (3/5)/(m/(-50)). Factor j**2 + 3/4*j**z - j + 0.
j*(j + 2)*(3*j - 2)/4
Let d(b) = b**2 - 5*b - 2. Let z be d(6). Let y(i) be the second derivative of 0*i**2 + i + 1/20*i**5 + 1/12*i**z + 0*i**3 + 0. What is s in y(s) = 0?
-1, 0
Let j be -5*(3 - 38/10). Let f(l) be the second derivative of 1/15*l**3 + 2/5*l**2 + 0 - 1/30*l**j + l. Solve f(p) = 0 for p.
-1, 2
Factor -3*s**2 - 4*s**4 - 4*s + 2*s + 5*s**4 + 0*s**2.
s*(s - 2)*(s + 1)**2
Let p(k) be the third derivative of 2/21*k**3 + 0 + 0*k + 1/210*k**5 + 1/28*k**4 + 3*k**2. Determine l so that p(l) = 0.
-2, -1
Let p(l) be the third derivative of 0 - 1/140*l**6 - 1/735*l**7 + 7*l**2 - 1/84*l**4 + 0*l + 0*l**3 - 1/70*l**5. Factor p(m).
-2*m*(m + 1)**3/7
Let c(y) = -55*y**2 + 30*y + 10. Let i(n) = 18*n**2 - 10*n - 3. Let j(s) = 3*c(s) + 10*i(s). Suppose j(z) = 0. Calculate z.
0, 2/3
Let v(g) = g**3 + 1. Let p(r) = 24*r**3 - 120*r**2 + 112*r - 44. Let n(a) = p(a) + 12*v(a). Find j such that n(j) = 0.
2/3, 2
Suppose 0 = 5*s + 6 + 9. Let m be (-6)/4*(s + 1). Find r, given that -r**2 - 4 + r**m + 4*r**2 - 2*r**3 = 0.
-1, 2
Suppose 0*m = -q - 5*m - 23, -4*q - m + 3 = 0. Factor -1/3 - q*t**2 + 4/3*t + 4/3*t**3 - 1/3*t**4.
-(t - 1)**4/3
Let v(n) be the first derivative of 3/2*n**4 + 1 + 17/3*n**3 + 2*n + 11/2*n**2. Factor v(k).
(k + 2)*(2*k + 1)*(3*k + 1)
Let t(r) = -r**3 - r**2 + 1. Let f(v) = 53*v**3 + 103*v**2 - 8*v - 19. Let h(o) = o - 2. Let z be h(5). Let y(k) = z*t(k) + f(k). Factor y(g).
2*(g + 2)*(5*g - 2)*(5*g + 2)
Let j(l) = 4*l**2 - 9*l + 4. Let z(o) = -8*o**2 + 18*o - 9. Let x(g) = -5*j(g) - 2*z(g). Factor x(t).
-(t - 2)*(4*t - 1)
Suppose -5*q + 10 = -m, -6*q + 2*m + 10 = -q. Factor -1/4*t - 1/4*t**q + 1/2.
-(t - 1)*(t + 2)/4
Let l be ((-2)/140*-8)/((-8)/(-20)). Determine j so that l*j**4 - 2/7*j + 6/7*j**2 - 6/7*j**3 + 0 = 0.
0, 1
Let d(a) be the third derivative of a**6/210 - a**5/7 + 3*a**4/2 - 14*a**3/3 - 4*a**2 - 6. Factor d(s).
4*(s - 7)**2*(s - 1)/7
Determine w so that 7*w - 27 + 11*w**2 - 14*w**2 + 11*w = 0.
3
Let g(l) be the third derivative of l**8/1680 - l**6/600 - 5*l**2. Factor g(u).
u**3*(u - 1)*(u + 1)/5
Let r(k) be the second derivative of k**6/60 - k**4/24 + 2*k. Factor r(o).
o**2*(o - 1)*(o + 1)/2
Let n(k) be the second derivative of -k**5/150 - 2*k**2 + 2*k. Let j(g) be the first derivative of n(g). Determine l so that j(l) = 0.
0
Let m = 136/3255 + -1/31. Let c(v) be the second derivative of -32/21*v**3 + 4/7*v**4 - 4/35*v**5 + 0 - 2*v + m*v**6 + 16/7*v**2. Factor c(n).
2*(n - 2)**4/7
Let l = 114 + -340/3. Find p such that -1/3*p**4 - 1/3 - 2/3*p**3 + 1/3*p**5 + l*p**2 + 1/3*p = 0.
-1, 1
Let c(j) be the second derivative of j**7/98 + 6*j**6/35 + 27*j**5/35 - 38*j - 1. Solve c(s) = 0.
-6, 0
Let i be (24/540)/(1 - 8/10). What is x in 4/9*x**2 + 2/9*x - 4/9*x**4 - i*x**3 + 0 = 0?
-1, -1/2, 0, 1
Let c(m) = -3*m**3 - 3*m**2 + 3*m. Suppose 1 = -2*o + 7. Let n(b) = -3*b**3 - 3*b**2 + 3*b - 1. Let a(v) = o*n(v) - 4*c(v). Find y, given that a(y) = 0.
-1, 1
Let t(s) be the second derivative of 2*s + 0*s**4 + 0 + 0*s**2 + 1/360*s**6 - 1/60*s**5 - 1/2*s**3. Let d(o) be the second derivative of t(o). Factor d(w).
w*(w - 2)
Let m(l) be the second derivative of -l**5/10 + l**4/3 - l**3/3 - 5*l. Let m(w) = 0. Calculate w.
0, 1
Let k(u) = -2*u**3 - 2*u**2 - 6*u - 2. Let y(w) = w**3 + w + 1. Let s(q) = -2*q - 8. Let b be s(-6). Let z(p) = b*y(p) + k(p). Let z(d) = 0. Calculate d.
-1, 1
Solve -28/17*y**2 - 16/17 + 6/17*y**3 + 40/17*y = 0 for y.
2/3, 2
Let i(a) be the third derivative of -a**5/12 - 5*a**4/12 - 5*a**3/6 - 19*a**2. Factor i(l).
-5*(l + 1)**2
Let q be (-3)/(-36) + 1 + -1. Let r(h) be the third derivative of 1/16*h**4 - 2*h**2 + 0 - 1/60*h**5 - q*h**3 + 0*h. Factor r(x).
-(x - 1)*(2*x - 1)/2
Let m(s) be the second derivative of -1/4*s**2 + 1/6*s**3 + 4*s + 0 - 1/24*s**4. Factor m(b).
-(b - 1)**2/2
Find w such that 0*w - 2/15*w**2 + 0 = 0.
0
Let c(g) be the second derivative of -g**4/42 - 16*g**3/21 - 64*g**2/7 + 22*g. Factor c(n).
-2*(n + 8)**2/7
Let y(x) = x**2 - 10*x + 10. Let n be y(10). Let s = 10 - n. Factor s + 2/7*u + 6/7*u**2 + 2/7*u**4 + 6/7*u**3.
2*u*(u + 1)**3/7
Let k(c) = c**2 - c. Let h(g) = -3*g**2 + 4*g - 1. Let p be (6/((-9)/3))/(-1). Let x(r) = p*h(r) + 7*k(r). Factor x(a).
(a - 1)*(a + 2)
Let o be 2*(0 - 3/(-6)). Let b(l) be the first derivative of 0*l**3 - o + 1/25*l**5 + 1/20*l**4 + 0*l**2 + 0*l. Find y, given that b(y) = 0.
-1, 0
Determine o so that -15*o**2 - 3*o - 77*o**3 + 39*o**3 + 33*o**3 - 7*o = 0.
-2, -1, 0
Suppose -4*x - x = 0. Factor -l + l**4 - l**2 - 3*l**3 + 4*l**3 + x*l**3.
l*(l - 1)*(l + 1)**2
Let n be 2/14*(339/(-360) - -1). Let z(k) be the third derivative of 0*k**4 + 1/60*k**5 + 0*k**3 + k**2 + 0 + 0*k + n*k**6. Factor z(x).
x**2*(x + 1)
Let v(q) be the second derivative of q**8/336 - q**6/120 - 3*q**2/2 - q. Let c(y) be the first derivative of v(y). What is b in c(b) = 0?
-1, 0, 1
Let z be (-3)/30*6 - -1. Let s(x) be the first derivative of -1/15*x**3 - 1 - 3/10*x**2 - z*x. Solve s(n) = 0 for n.
-2, -1
Let a(c) = -2*c + 13. Let w be a(0). Let o = w - 25/2. Factor h**2 + 0 + o*h + 1/2*h**3.
h*(h + 1)**2/2
Let o be (0 + 2)*8/8. Let y(u) be the first derivative of -1 - 1/9*u**o + 2/27*u**3 + 0*u. Determine w, given that y(w) = 0.
0, 1
Let v(l) be the third derivative of -1/420*l**7 + 0*l + 1/120*l**5 + 0*l**6 + 0*l**3 + 0*l**4 + 2*l**2 + 0. Factor v(a).
-a**2*(a - 1)*(a + 1)/2
Let k be 12/(-8)*2 - -13. Let r = k - 8. Factor -r*c**4 + 0 + 1/2*c + 1/2*c**5 - 2*c**2 + 3*c**3.
c*(c - 1)**4/2
Let q = -455 + 458. Factor -9/2*d**2 - 9/2*d - 3/2*d**q - 3/2.
-3*(d + 1)**3/2
Let n(m) be the second derivative of -m**9/10080 + 3*m**8/8960 - m**7/3360 + m**4/12 + 3*m. Let i(c) be the third derivative of n(c). Factor i(y).
-3*y**2*(y - 1)*(2*y - 1)/4
Let f = -2365/14 + 169. Let r(b) be the first derivative of -f*b**4 + 1/7*b**2 + 1 + 2/7*b - 2/21*b**3. Factor r(n).
-2*(n - 1)*(n + 1)**2/7
Let l(c) be the first derivative of 0*c**2 + 2/15*c**3 + 1 + 2/25*c**5 + 0*c + 1/5*c**4. Factor l(q).
2*q**2*(q + 1)**2/5
Let s be (3/(-42))/(-7 + 3). Let n = s - -13/56. Determine k, given that -1/4*k + 1/4*k**3 - n + 1/4*k**2 = 0.
-1, 1
Suppose 17 = 14*i - 25. Factor -3/5*f**3 - 6/5 - i*f - 12/5*f**2.
-3*(f + 1)**2*(f + 2)/5
Let a(f) be the second derivative of -f**7/420 + f**6/180 + f**5/60 + f**4/3 - f. Let c(p) be the third derivative of a(p). Factor c(d).
-2*(d - 1)*(3*d + 1)
Let z(s) be the second derivative of 6*s**2 + 1/4*s**4 + 0 - 2*s**3 - 6*s. Factor z(l).
3*(l - 2)**2
Let m(c) be the third derivative of 0*c**3 + 1/10*c**4 + 0*c + 2*c**2 + 0 + 1/25*c**5 + 1/200*c**6. Determine a, given that m(a) = 0.
-2, 0
Let c(q) = q. Let h be c(-2). Let z be (-14)/(-4) + (-1)/h. Determine y so that -2*y**2 - z*y - 5*y + 3*y + 6 + 2*y = 0.
-3, 1
Suppose 0*v + 6 = -3*l + 4*v, 0 = 3*v - 9. Suppose -2*g + l = -g. Factor 2 - n**2 + 3*n**g + 3*n - n**2.
(n + 1)*(n + 2)
Suppose 0 = -3*k + 4*x + 38 - 8, x = 4*k - 40. Suppose 7*b = 2*b + k. Factor 1/4*f**b - f + 1.
(f - 2)**2/4
Let m(y) = y**2 - 1. Let g(a) = -2*a**2 + a + 3. Let k(w) = g(w) + 3*m(w). Factor k(h).
h*(h + 1)
Let a = -6 + 11. Suppose 0 = 5*u + a - 30. Let 8*j**2 + 3*j**5 - 2*j - 4*j**u + 8*j**4 - 12*j**3 - j**5 = 0. Calculate j.
0, 1
Let x(z) be the second derivative of -z**8/4200 + z**7/2100 + z**3/3 + 3*z. Let j(m) be the second derivative of x(m). Factor j(g).
-2*g**3*(g - 1)/5
Let f = 20/13 - 67/52. Let z(x) be the first derivative of 0*x**4 + 0*x**2 - f*x - 1/20*x**5 - 3 + 1/6*x**3. Find j, given that z(j) = 0.
-1, 1
Let j(t) = -8*t**2 - 8*t + 6.