l*z(m) + 4*b(m). Factor o(p).
(p - 2)*(p - 1)*(p + 2)
Determine v so that 0 - 56 + 8 + 3*v**2 = 0.
-4, 4
Suppose o = -4*k, 7 = -4*o + 7*o + 5*k. Let 2*u**o - 8 + 3*u**3 + 6*u**2 - 4*u**4 - 2*u + 4 - u**3 = 0. Calculate u.
-1, 1, 2
Let c(o) be the second derivative of o**6/20 - o**5/40 - 7*o**4/6 - o**3/3 + 12*o**2 - 30*o. Factor c(k).
(k - 3)*(k + 2)**2*(3*k - 4)/2
Suppose -l + 0 = 4. Let s(y) = y**3 + y**2 - 1. Let g(x) = -6*x**2 + 8*x - 3. Let p(a) = l*g(a) - 4*s(a). Let p(c) = 0. What is c?
1, 2
Let h be (-64)/800 + (-381)/(-75). Let 2/3*t**3 - 4/3*t**2 + 0*t + 4/3*t**4 + 0 - 2/3*t**h = 0. What is t?
-1, 0, 1, 2
Let w be (-150)/(-108) - 6/(-216)*4. Factor 0 - 3/4*r**2 + w*r.
-3*r*(r - 2)/4
Let l(p) be the third derivative of -p**7/210 + p**6/60 - p**5/60 + 6*p**2 + 4*p. Factor l(t).
-t**2*(t - 1)**2
Let r(y) be the third derivative of -y**10/378000 + y**8/50400 - 3*y**5/20 - 5*y**2. Let g(m) be the third derivative of r(m). Determine d, given that g(d) = 0.
-1, 0, 1
Factor -9/4*z**2 + 0*z - 3/8*z**3 + 12.
-3*(z - 2)*(z + 4)**2/8
Let a be 8/(-36) + 20/9. Let y be 4/2 - 0/a. Find q, given that -4 + y*q - 8*q - q**2 - 2*q**2 - 2*q = 0.
-2, -2/3
Let u(z) be the first derivative of -z**6/18 + 3*z**5/5 - 2*z**4 + 20*z**3/9 - 22. What is r in u(r) = 0?
0, 2, 5
Let a(s) = 27*s**4 - 69*s**3 - 162*s**2 - 12*s - 12. Let p(h) = 11*h**4 - 28*h**3 - 65*h**2 - 5*h - 5. Let w(f) = 5*a(f) - 12*p(f). Factor w(r).
3*r**2*(r - 5)*(r + 2)
Let o(a) = 6*a**3 + 24*a**2 - 22*a - 16. Let j(k) = -2*k**3 - 8*k**2 + 7*k + 6. Let p(u) = 8*j(u) + 3*o(u). Factor p(m).
2*m*(m - 1)*(m + 5)
Let g(w) be the first derivative of -33/2*w**2 + 1/2*w**3 + 363/2*w + 13. Factor g(d).
3*(d - 11)**2/2
Let t(p) = p**2 - p - 9. Let h be t(4). Suppose -4*b**h + 0*b - 9*b + 10*b**2 + b + 2 = 0. Calculate b.
1/2, 1
Let j(h) be the second derivative of h**7/21 + 31*h**6/15 + 297*h**5/10 + 605*h**4/6 - 2662*h**3/3 - 106*h. Factor j(y).
2*y*(y - 2)*(y + 11)**3
Let b(j) be the first derivative of 3*j**5/20 + 15*j**4/16 + j**3 - 274. Factor b(k).
3*k**2*(k + 1)*(k + 4)/4
Factor 8/7*z**2 + 0 + 24/7*z - 2/7*z**3.
-2*z*(z - 6)*(z + 2)/7
Let d(m) be the first derivative of m**5 - 10*m**4 - 55*m**3 - 10*m**2 + 220*m + 315. Factor d(p).
5*(p - 11)*(p - 1)*(p + 2)**2
Let m be (4 - 6/((-90)/(-65)))*0. Let f(c) be the first derivative of 3 + 0*c**2 + 0*c**4 + 14/5*c**5 - 8/3*c**3 + m*c - c**6. Solve f(t) = 0.
-2/3, 0, 1, 2
Let r(n) be the first derivative of -2*n**3/9 - 2*n**2/3 - 2*n/3 - 6. Factor r(y).
-2*(y + 1)**2/3
Let v(n) = -2*n + 1. Let s(r) = -5*r**3 - 585*r**2 - 22805*r - 296600. Let x(c) = -s(c) - 5*v(c). Factor x(a).
5*(a + 39)**3
Let n(b) = -25*b**5 - 30*b**4 + 16*b**3 + 25*b**2 + 9*b. Let v(i) = -2*i**4 - i**3 + i**2 + i. Let k(h) = n(h) - 5*v(h). Find w, given that k(w) = 0.
-1, -2/5, 0, 1
Let p(r) = -5*r**3 + 65*r**2 - 93*r + 33. Let d(n) = -n**3 + 13*n**2 - 19*n + 7. Let h(z) = 11*d(z) - 2*p(z). Factor h(l).
-(l - 11)*(l - 1)**2
Find x such that 63/5*x + 0 - 24/5*x**2 + 1/5*x**3 = 0.
0, 3, 21
Solve -3*r + 1/2*r**2 + 4 = 0.
2, 4
Let d = 476/39 - -256766/429. Let c = -610 + d. Find m, given that -2/11*m**2 - c*m - 8/11 = 0.
-2
Suppose -473*h + 935 + 484 = 0. Find v such that 16/3*v + 2/9*v**4 + 44/9*v**2 + 16/9*v**h + 2 = 0.
-3, -1
Let o(n) be the third derivative of n**5/180 + n**4/9 - n**3/2 - 210*n**2. Determine g, given that o(g) = 0.
-9, 1
Suppose 4*j - 5*h = 7127, 13 = -5*h - 2. Find f such that -1777*f**2 + 0*f + j*f**2 - 2*f = 0.
0, 2
Suppose -14*k + 60 = -9*k. Let z be 0 + (1 - 16/k)*-6. Solve -1/4 + 1/4*c**3 + 3/4*c - 3/4*c**z = 0.
1
Let m(n) be the first derivative of -8*n**5/15 - 28*n**4/3 - 442*n**3/9 - 169*n**2/3 - 67. Let m(x) = 0. What is x?
-13/2, -1, 0
Suppose -3*t + 25*c - 27*c - 2 = 0, 4*c = -4*t - 8. Let -2/3 - 1/3*i + 1/3*i**3 + 2/3*i**t = 0. What is i?
-2, -1, 1
Let t(p) be the second derivative of 3/70*p**6 + 0 + 22*p + 0*p**3 + 0*p**5 + 0*p**2 - 1/7*p**4 + 1/98*p**7. What is n in t(n) = 0?
-2, 0, 1
Let p(u) = -9*u**2 - 17*u - 21. Let f = 25 + -19. Let v(z) = -2*z**2 - 4*z - 5. Let c(t) = f*p(t) - 26*v(t). Suppose c(i) = 0. What is i?
-1, 2
Let g be (-968)/(-960) - 7 - (-6)/1. Let a(i) be the third derivative of g*i**5 + 2*i**2 + 0*i + 0*i**3 + 0 + 1/16*i**4. Factor a(s).
s*(s + 3)/2
Let z(f) be the first derivative of 0*f**2 + 0*f + 19 + 2/15*f**5 - 2/3*f**4 + 8/9*f**3. Factor z(g).
2*g**2*(g - 2)**2/3
Find i such that 303*i**3 + 1168*i + 214 - 46 - 401*i**3 + 2002*i**2 = 0.
-2/7, 21
Suppose 0 = 10*d - 2*d - 16. Let x(p) be the third derivative of -3/20*p**5 - 3/8*p**4 - 1/2*p**3 + 0 - 8*p**d + 0*p - 1/40*p**6. Factor x(u).
-3*(u + 1)**3
Factor 55112/13 + 2/13*f**2 - 664/13*f.
2*(f - 166)**2/13
Let u be ((-164)/(-574))/((-1)/(-14)). Factor 0*d - 1/4*d**3 + 0 + 1/2*d**2 - 1/4*d**u.
-d**2*(d - 1)*(d + 2)/4
Suppose -1745*i = -1720*i. Factor 0*m - 3/8*m**4 + i*m**3 + 0*m**2 + 0 - 3/8*m**5.
-3*m**4*(m + 1)/8
Suppose -4*g + 8*g - 8 = 0. Let b be (-10 + 4)/(-1) + -2. Factor -1/3*x**b - 2/3*x + 0 + 2/3*x**3 + 1/3*x**g.
-x*(x - 2)*(x - 1)*(x + 1)/3
Let q(s) be the first derivative of -s**4/6 + 7*s**2/3 - 4*s - 33. Let q(p) = 0. Calculate p.
-3, 1, 2
Let c(l) be the third derivative of -l**8/4032 - l**7/1008 + l**5/60 - 12*l**2. Let q(g) be the third derivative of c(g). What is z in q(z) = 0?
-1, 0
Let d(g) be the first derivative of g**7/2940 - g**6/504 + g**5/210 - g**4/168 - 23*g**3/3 - 33. Let n(u) be the third derivative of d(u). Factor n(f).
(f - 1)**2*(2*f - 1)/7
Let d = -8532 + 25597/3. Factor -1/3*q**3 + 1/9*q**4 + d*q - 1/9*q**2 + 0.
q*(q - 3)*(q - 1)*(q + 1)/9
Let b(t) = -t**2 - 16*t + 24. Let q(n) = n**2 + 15*n - 26. Let k(m) = 2*b(m) + 3*q(m). Determine u, given that k(u) = 0.
-15, 2
Factor -96/5*k**2 - 96/5 - 2/5*k**4 - 24/5*k**3 - 32*k.
-2*(k + 2)**3*(k + 6)/5
Let b(z) be the third derivative of z**6/120 - 3*z**5/40 - z**4/2 - 5*z**3/3 - z**2. Let r(v) be the first derivative of b(v). Factor r(u).
3*(u - 4)*(u + 1)
Let t(k) = -7*k**2 - 169*k - 24. Let h be t(-24). Factor h*p - 1/3 + 1/3*p**2.
(p - 1)*(p + 1)/3
Factor -2/5*m**4 + 2/5*m**2 + 0 + 3/5*m + 1/5*m**5 - 4/5*m**3.
m*(m - 3)*(m - 1)*(m + 1)**2/5
Suppose 590*w**2 - 5*w**3 + 1864 - 1864 - 61605*w + 520*w**2 = 0. What is w?
0, 111
Determine b so that 3200 - 12*b**2 - 26*b**2 - 8*b**3 + 10*b**3 - 34*b**2 + 480*b = 0.
-4, 20
Let z(g) = -3*g**2 + 3*g - 3. Let a(r) = 4*r**2 - 5*r + 5. Let j(s) = -3*a(s) - 5*z(s). Determine v so that j(v) = 0.
0
Let t(n) be the second derivative of -9*n**5/20 - 4*n**4 + 30*n**3 - 48*n**2 - 5*n + 7. Factor t(d).
-3*(d - 2)*(d + 8)*(3*d - 2)
Let u(p) be the first derivative of -72*p**6/7 - 60*p**5/7 + 16*p**4 + 316*p**3/21 - 8*p**2/7 - 16*p/7 - 476. Let u(k) = 0. What is k?
-1, -2/3, -1/4, 2/9, 1
Factor 9/2*y - 2 - 3*y**2 + 1/2*y**3.
(y - 4)*(y - 1)**2/2
Let y be 8 - (-24 + 2280/75). Solve 0*d**2 - 4/5*d**4 + 4/5 + y*d**3 - 8/5*d = 0.
-1, 1
Let q(a) = -6*a + 44. Let o be q(8). Let p be -13*(26/(-6) - o). Solve n**4 + 14/3*n**2 - p*n**3 - 8/3 + 4/3*n = 0.
-2/3, 1, 2
Suppose -3*o = -3*d + 36, d - 4 = -0*d - o. Factor 2*g**2 + 1 + d - 9.
2*g**2
Suppose 28 = -t + 3*t. Let r be (-1)/(-4) - t/(-8). Factor 12*k + 2 - 3*k**2 - r - 12 + 3*k.
-3*(k - 4)*(k - 1)
Let i = -3909 + 3912. Factor 0 - 3*v + 9/2*v**2 - 3/2*v**i.
-3*v*(v - 2)*(v - 1)/2
Let a = 2523/2870 - -6/287. Let u(h) be the second derivative of 0*h**2 + 0 - 9/4*h**4 + 0*h**3 + a*h**5 - 3*h - 1/10*h**6. Factor u(t).
-3*t**2*(t - 3)**2
Let k(n) be the first derivative of 3*n**4 + 26*n**3/3 - 3*n**2 - 20*n + 36. Factor k(f).
2*(f + 1)*(f + 2)*(6*f - 5)
Let r be (-12)/(-3) - (0 + 1). Factor -37*t**3 - 5*t**2 - 43*t**3 + 2*t**2 + 3 + 81*t**r - t.
(t - 3)*(t - 1)*(t + 1)
Find a such that 7/4 + 5/4*a**2 + 13/4*a - 1/4*a**3 = 0.
-1, 7
Let c(t) be the first derivative of 7/6*t**2 - 1/4*t**4 + 10 - 2/9*t**3 - 2/3*t. Factor c(g).
-(g - 1)*(g + 2)*(3*g - 1)/3
Factor 2*j**4 - 40*j**2 + 3*j**2 - 24 - 70*j - 29*j**2 - 36*j**3 + 18*j**3.
2*(j - 12)*(j + 1)**3
Let k(o) be the second derivative of -o**6/30 + 4*o**5/15 - 2*o**4/3 - 11*o**2 - 3*o. Let m(d) be the first derivative of k(d). Solve m(j) = 0.
0, 2
Suppose -28/17*j**2 + 2*j**3 - 2/17*j**4 + 0 - 64/17*j = 0. Calculate j.
-1, 0, 2, 16
Suppose -q = -20 + 17. Let 0*k**q - 12*k**2 + 0*