 + 3. Determine l so that j(l) = 0.
0, 1
Factor -2*x**3 + 17*x**2 + 3*x**2 + 9*x**3 - 2*x**3.
5*x**2*(x + 4)
Solve -21 + 17 + 10*s - 5*s**2 + 2*s**3 - 3*s**2 = 0 for s.
1, 2
Let b(x) be the first derivative of 0*x**2 - 2/35*x**5 + 0*x**3 - 4 + 0*x**4 + 0*x. Factor b(y).
-2*y**4/7
Factor -3 - 171*r**3 + 3 + 173*r**3 + 8*r**2 + 8*r.
2*r*(r + 2)**2
Factor z**3 + 3*z + 10/3*z**2 + 2/3.
(z + 1)*(z + 2)*(3*z + 1)/3
Suppose -5*j = -0*j. Find b such that -2/3*b**2 - 1/6*b + j = 0.
-1/4, 0
Let h(n) be the third derivative of -5*n**2 + 0*n + 1/540*n**6 - 1/270*n**5 + 0*n**3 + 0 - 1/54*n**4. Solve h(z) = 0.
-1, 0, 2
Let t = -7 - -10. Let r(y) be the third derivative of 0*y + 2/3*y**t + 5/12*y**4 - 1/15*y**5 + 0 - 1/12*y**6 + y**2. Factor r(l).
-2*(l - 1)*(l + 1)*(5*l + 2)
Let x(b) be the third derivative of -b**6/30 + 2*b**4/3 - 34*b**2. Solve x(t) = 0 for t.
-2, 0, 2
Let s(g) be the first derivative of g**6/6 - 3*g**5/5 + 3*g**4/4 - g**3/3 - 6. Factor s(c).
c**2*(c - 1)**3
Let y = 32/5 - 91/15. Factor 1/3*k**3 - 2/3*k**2 + 0 + y*k.
k*(k - 1)**2/3
Let w(u) be the third derivative of -u**5/450 + u**4/18 - 5*u**3/9 + 14*u**2. Suppose w(b) = 0. What is b?
5
Let p be (15/275)/((-1)/(-5)). Let t = 67/44 - p. Suppose t*u**2 + 0 - 1/2*u = 0. What is u?
0, 2/5
What is m in 0*m + 0 + 2/7*m**2 = 0?
0
Let i be 2/6*(5 - -1). Factor 2*b**3 - 1 - i*b**2 + 0*b + 4*b**2 - 2*b - 1.
2*(b - 1)*(b + 1)**2
Factor -2*h - 2 - 1/2*h**2.
-(h + 2)**2/2
Let d(x) be the second derivative of -x**4/10 + 14*x**3/15 - 8*x**2/5 + 6*x. Factor d(l).
-2*(l - 4)*(3*l - 2)/5
Let v(b) = -7*b**2 - 10*b - 4. Let d(o) be the second derivative of 0 + 3/2*o**3 + 2*o + 1/2*o**4 + 3/2*o**2. Let k(c) = -4*d(c) - 3*v(c). Factor k(t).
-3*t*(t + 2)
Let o be (-21)/(-70) - (-2)/4. Determine y so that 0 - o*y**3 - 2/5*y**2 - 2/5*y**4 + 0*y = 0.
-1, 0
Let o(t) = t**2 - t + 6. Let i be o(0). Let 2 - i*j**2 + 1 - 21*j**3 + 4 + 21*j - 1 = 0. What is j?
-1, -2/7, 1
Let s(c) be the third derivative of -1/300*c**6 - 1/525*c**7 + 2*c**2 + 0 + 1/12*c**4 + 2/15*c**3 + 0*c + 1/50*c**5. Factor s(l).
-2*(l - 2)*(l + 1)**3/5
Let q(y) be the second derivative of y**4/2 - 16*y**3/9 - 4*y**2/3 + 9*y. Factor q(h).
2*(h - 2)*(9*h + 2)/3
Let o(b) be the second derivative of b**6/6 - b**5/4 - 5*b**4/6 + b + 2. What is f in o(f) = 0?
-1, 0, 2
Suppose 0*b = -3*b - 4*o + 7, 5*b + 2*o - 7 = 0. Suppose 5 = 2*q + b. Determine c, given that 2*c**2 - 2*c**4 - c + q*c**5 - 4*c**5 + 3*c**5 = 0.
-1, 0, 1
Let i(b) = b**4 - b**3 + 5*b**2 - b - 4. Let x(m) = 3*m**4 - 2*m**3 + 11*m**2 - 3*m - 9. Let y(f) = -5*i(f) + 2*x(f). Factor y(r).
(r - 1)**2*(r + 1)*(r + 2)
Let o(b) = 8*b**4 - 20*b**3 + 16*b**2 + 20*b - 20. Let s(g) = 7*g**4 - 19*g**3 + 15*g**2 + 19*g - 19. Let x(d) = -3*o(d) + 4*s(d). Factor x(t).
4*(t - 2)**2*(t - 1)*(t + 1)
Let j = -30 - -29. Let f be 17/36 - j/(-4). Factor 2/3*i + f*i**3 - 2/9 - 2/3*i**2.
2*(i - 1)**3/9
Suppose -4*d + 17 = 5*j + 1, 0 = 2*j - 2*d + 8. Let x(z) be the second derivative of 1/54*z**4 + 3*z + j*z**2 + 0 + 1/27*z**3. Suppose x(m) = 0. Calculate m.
-1, 0
Factor 4/7*x**3 + 20/7*x + 24/7*x**2 + 0.
4*x*(x + 1)*(x + 5)/7
Let b(i) be the third derivative of i**6/360 - i**5/60 + i**4/24 + i**3/6 - 3*i**2. Let j(w) be the first derivative of b(w). Factor j(q).
(q - 1)**2
Let u(g) = -2*g**4 + g**3 + g - 2. Let v(k) be the first derivative of 4*k**5/5 - k**4/4 - 3*k**2/2 + 5*k + 1. Let m(q) = -10*u(q) - 4*v(q). Factor m(c).
2*c*(c - 1)**2*(2*c + 1)
Let o(a) be the second derivative of -3*a**5/110 + 7*a**4/66 - 2*a**3/33 + 9*a. Let o(g) = 0. Calculate g.
0, 1/3, 2
Let o(j) be the third derivative of -j**10/604800 - j**9/120960 - j**8/80640 + j**5/20 + 2*j**2. Let k(w) be the third derivative of o(w). Factor k(z).
-z**2*(z + 1)**2/4
Let a be -18 + 15 - (-6)/1. Let x(o) be the third derivative of -1/60*o**4 - 1/50*o**5 + 0*o + 2/15*o**a + 0 + 2*o**2. Solve x(b) = 0.
-1, 2/3
Let 667*v + 2*v**3 - 6*v**2 - 675*v + 2*v**4 - 2*v**2 = 0. Calculate v.
-2, -1, 0, 2
Suppose 4 = -d - 11. Let m(x) = 21*x**2 - 63*x + 27. Let s(u) = -3*u**2 + 0*u - 4 + 4*u + 5*u. Let y(t) = d*s(t) - 2*m(t). Factor y(i).
3*(i - 2)*(i - 1)
Let h(j) be the first derivative of j**3/12 - 9*j**2/8 + 7*j/2 + 33. Factor h(g).
(g - 7)*(g - 2)/4
Let l be 22/(-8) - 1/4. Let q be -9*(5/l + 1). Factor -12*s**2 + 2*s**3 - 2 - 10*s + 2*s**3 + 0*s**3 + q*s**5 + 14*s**4.
2*(s - 1)*(s + 1)**3*(3*s + 1)
Let g = 56 + -54. Solve -48/7*p**g + 80/7*p**3 - 96/7*p + 18/7*p**5 + 78/7*p**4 - 32/7 = 0 for p.
-2, -2/3, 1
Suppose -3*m**2 - 12*m + m**2 + 3*m**2 - 12 - 4*m**2 = 0. What is m?
-2
Let -1 + 1/2*j**2 + 1/2*j = 0. Calculate j.
-2, 1
Let t(z) = 7*z - 2 + 5*z**2 - 1 - 2. Suppose 2*v - 12 + 6 = 0. Let i(g) = 2*g**2 + 3*g - 2. Let a(u) = v*t(u) - 7*i(u). Let a(j) = 0. Calculate j.
-1, 1
Let v(h) = -h**2 + h. Let g(f) = -7*f**2 - 17*f + 5. Let z(b) = 2*b**2 + 6*b - 2. Let k(i) = 3*g(i) + 8*z(i). Let c(t) = -3*k(t) + 3*v(t). Factor c(p).
3*(2*p + 1)**2
Let j(k) be the third derivative of -3/20*k**6 + 32/273*k**7 + 8*k**2 + 0 - 1/39*k**4 + 6/65*k**5 + 0*k**3 + 0*k - 25/728*k**8. Let j(y) = 0. Calculate y.
0, 1/3, 2/5, 1
Let f(l) be the second derivative of 0*l**2 + 0 + 0*l**3 - 1/80*l**5 - 8*l + 0*l**4. Find d such that f(d) = 0.
0
Let n(x) = 2*x**3 - 2*x**2 + 2*x + 2. Let a(u) = u**3 - u**2 + 2*u + 1. Let q(k) = 4*a(k) - 3*n(k). Factor q(y).
-2*(y - 1)**2*(y + 1)
Factor -11*f + 3*f + 3*f**3 + 8*f + 6*f - 9*f**2.
3*f*(f - 2)*(f - 1)
Let n = 4/17 - 7/102. Let c(l) be the second derivative of -l - n*l**4 + 0 + 0*l**2 + 1/3*l**3. Determine r, given that c(r) = 0.
0, 1
Let y(x) = -x**2 + 9*x + 13. Let s be y(10). Factor -15*k**3 + 2*k**5 + 2*k**5 + 11*k**s.
4*k**3*(k - 1)*(k + 1)
Suppose 0 + 1/6*f**2 - 1/6*f**4 + 0*f**3 + 0*f = 0. What is f?
-1, 0, 1
Factor 16/5*q + 2*q**2 + 2/5*q**3 + 8/5.
2*(q + 1)*(q + 2)**2/5
Let x(p) be the third derivative of -p**8/1008 + p**7/315 + p**6/180 - 2*p**5/45 + 7*p**4/72 - p**3/9 + 40*p**2 - 1. Factor x(q).
-(q - 1)**4*(q + 2)/3
Suppose 0 = 3*f + 12, 2*w + 3*f + 0 = -4. Let 48/7*g**w - 18/7*g**3 + 0*g + 2/7*g**2 - 32/7*g**5 + 0 = 0. What is g?
0, 1/4, 1
Determine b, given that 0 - 39 + 0 - 9 - 24*b - 3*b**2 = 0.
-4
Let f = -2 - -3. Suppose s - y = 2, 5*y - f = -2*s + 3. Factor 7*n - 2*n**2 + 0*n**2 + 0*n**2 - s - 11*n.
-2*(n + 1)**2
Let s(i) = 3*i**4 - 2*i**3 - i**2 - 8*i - 8. Let z(j) = 4*j**4 - 3*j**3 - 2*j**2 - 9*j - 9. Let o(w) = -5*s(w) + 4*z(w). Factor o(c).
(c - 2)**2*(c + 1)**2
Factor -5 - 6*a**2 + 1 - 6*a + 3 - 2*a**3 - 1.
-2*(a + 1)**3
Determine c so that -3/5*c**3 + 6*c - 24/5 - 3/5*c**2 = 0.
-4, 1, 2
What is t in -6/5*t**2 + 6/5 + 2/5*t**3 - 2/5*t = 0?
-1, 1, 3
Let g(w) be the first derivative of -w**5 + 10*w**3/3 - 5*w - 32. Factor g(r).
-5*(r - 1)**2*(r + 1)**2
Let v(z) = 5*z**4 + 5*z**3 - 15*z**2 + z - 8. Let u(r) = r**4 - r**2 - r - 1. Let a(i) = 6*u(i) - v(i). Let a(j) = 0. Calculate j.
1, 2
Let g(r) = 2*r - 7. Let x be g(5). Let k(f) be the second derivative of -27/2*f**2 - 3*f + 0 - 1/4*f**4 + 3*f**x. Factor k(p).
-3*(p - 3)**2
Suppose 2*d = -3*d - 195. Let b = -155/4 - d. Factor 0 + 0*r**2 + 0*r - b*r**4 + 0*r**3.
-r**4/4
Find q such that 1/2*q**2 + 9/2 + 3*q = 0.
-3
Let j(r) be the third derivative of -r**5/15 - r**4/2 + 8*r**3/3 - 9*r**2. Factor j(p).
-4*(p - 1)*(p + 4)
Let v(o) be the second derivative of o**6/60 + o**5/40 - 3*o**4/8 + 11*o**3/12 - o**2 - 17*o. Factor v(q).
(q - 1)**3*(q + 4)/2
Let f(b) = -5*b + 85. Let m be f(17). Let n(c) be the second derivative of -1/4*c**4 + m + 3*c - 3/10*c**5 + 0*c**2 + 1/10*c**6 + c**3. Factor n(u).
3*u*(u - 2)*(u - 1)*(u + 1)
Let d(f) be the third derivative of -1/30*f**4 - 1/525*f**7 + 0 - 3*f**2 - 1/100*f**6 + 0*f + 1/840*f**8 + 1/30*f**5 + 0*f**3. Factor d(y).
2*y*(y - 1)**3*(y + 2)/5
Let y = 22 - 20. Let p = 45 + -131/3. Solve -2/3*s + 0*s**3 + 0 + 2/3*s**5 - p*s**4 + 4/3*s**y = 0.
-1, 0, 1
Let z(w) be the second derivative of w**4/60 + w**3/15 - 3*w**2/10 + 27*w. Factor z(r).
(r - 1)*(r + 3)/5
Let b(s) = 2*s - 6. Let o be 1/2 + 9/2. Let i be b(o). Factor -3*f**3 - 2*f**5 - 3*f**3 - 2*f**i - 2*f**2 - 4*f**4.
-2*f**2*(f + 1)**3
Let y(j) be the first derivative of -2*j**5/5 - j**4 + 2*j**3 + 4*j**2 - 8*j + 6. Factor y(u).
-2*(u - 1)**2*(u + 2)**2
Let h be (2/(-12))/(2/(-4)