. Factor o(b).
-3*(b - 2)*(b - 1)*(b + 1)
Let q be (-192)/768 - (0 + 126/(-440)). Let g(c) be the first derivative of 0*c**2 + 3/22*c**4 + 0*c + 11 + q*c**5 + 4/33*c**3. Find n such that g(n) = 0.
-2, -1, 0
Find a such that -8*a + 8*a**3 + 0 + 2/3*a**2 - 2/3*a**4 = 0.
-1, 0, 1, 12
Let x(p) be the first derivative of p**4/22 + 2*p**3/3 + 39*p**2/11 + 90*p/11 + 286. Factor x(w).
2*(w + 3)**2*(w + 5)/11
Solve -8*a - 57*a**4 - 14*a**3 + 41*a**4 + 2*a**3 + 36*a**2 = 0.
-2, 0, 1/4, 1
Let n(v) be the second derivative of 1/56*v**7 + 1/40*v**5 + 1/24*v**6 + 0*v**4 - 11*v + 0*v**2 + 0*v**3 + 0. Factor n(a).
a**3*(a + 1)*(3*a + 2)/4
Let u(f) be the second derivative of 0 - 1/12*f**3 - 5*f - 1/24*f**4 + 0*f**2. Determine m so that u(m) = 0.
-1, 0
Let z(g) be the second derivative of g**6/90 - 7*g**5/60 + 5*g**4/18 + 12*g + 1. Suppose z(x) = 0. What is x?
0, 2, 5
Find c such that 0 + 24/19*c**2 - 2/19*c**5 - 26/19*c**3 + 12/19*c**4 - 8/19*c = 0.
0, 1, 2
Solve 235*h**2 + 807*h**2 - 4*h**3 - 46656 - 45792*h - 182*h**2 = 0 for h.
-1, 108
Let d(i) be the first derivative of -i**9/5544 + i**8/1540 - i**7/1540 - 13*i**3/3 + 45. Let x(f) be the third derivative of d(f). Find o such that x(o) = 0.
0, 1
Let x(u) be the second derivative of -u**5/50 + u**4/15 + u**3/5 - 74*u. Factor x(v).
-2*v*(v - 3)*(v + 1)/5
Let x(q) = -10*q + 9*q + 2 - 9. Let k be x(-9). Find w such that -81/4*w - 81/4 - 3/4*w**3 - 27/4*w**k = 0.
-3
Let h be (64 + -64)/(-1 - -2). Let g(m) be the first derivative of 9 + 18/5*m**5 + 9*m**4 + 1/2*m**6 + h*m**2 + 8*m**3 + 0*m. Find x, given that g(x) = 0.
-2, 0
Let s = 60 + -57. Let y(q) be the third derivative of 0*q**4 + q**2 + 0*q + 0*q**s + 1/540*q**6 + 0 + 1/270*q**5. Find i, given that y(i) = 0.
-1, 0
Let s = -33/10 + 19/5. Let a(n) be the first derivative of 3/10*n**5 + 3/4*n**2 - s*n**3 - 3/8*n**4 - 10 + 0*n. Suppose a(m) = 0. Calculate m.
-1, 0, 1
Let z be 0/((-4)/((-4)/3)). Let m(s) be the second derivative of 1/3*s**4 - 3/10*s**5 - s + 2*s**2 + z + 7/3*s**3. Factor m(g).
-2*(g - 2)*(g + 1)*(3*g + 1)
Let g = -747/8 - -4023/40. Factor -24/5*m + 4/5*m**2 + g.
4*(m - 3)**2/5
Let g(v) = -3*v - 10 - 1 + 6 + 3*v**2. Let j(m) = m**2 - m - 2. Let f(o) = -o + 3. Let y be f(5). Let w(a) = y*g(a) + 5*j(a). Find h such that w(h) = 0.
0, 1
Suppose -11*s = -9*s + 8. Let r(t) = -100*t**2 - 45*t + 45. Let u(n) = -4*n - 11*n**2 + 1 + 3 + 2*n**2. Let h(z) = s*r(z) + 45*u(z). Factor h(q).
-5*q**2
Let p be ((-3)/(-6))/(4/8). Let l be 1/(1/2)*p. Factor 8*t**2 - 4*t**l - 1 - 3.
4*(t - 1)*(t + 1)
Let p(c) be the first derivative of c**3/18 - 17*c**2/12 + 5*c + 337. Factor p(o).
(o - 15)*(o - 2)/6
Let c(t) be the first derivative of -369 + 2*t**3 - 64*t - 14*t**3 - 48*t**2 + 371. Factor c(d).
-4*(3*d + 4)**2
Let w(x) = 2*x**2 - 20*x + 30. Let u(j) = -3*j**2 + 38*j - 59. Let q(t) = -2*u(t) - 5*w(t). Factor q(c).
-4*(c - 4)*(c - 2)
Let f(w) be the third derivative of 0*w**4 + 0*w + 0 + 0*w**3 + 1/35*w**5 + 0*w**6 + 20*w**2 - 1/784*w**8 - 3/490*w**7. Factor f(p).
-3*p**2*(p - 1)*(p + 2)**2/7
Let m = 13563/13 - 1043. Let q(a) be the first derivative of 6/13*a + m*a**2 + 2/39*a**3 + 1. Determine x so that q(x) = 0.
-3, -1
Let t(a) = a**2 + 4*a - 7. Let f be t(2). Factor 77*k - 173*k + 20 + 5*k**3 + 76*k - f*k**2.
5*(k - 2)*(k - 1)*(k + 2)
Let r(d) be the third derivative of -d**6/180 + 22*d**5/45 - 121*d**4/9 + 700*d**2. Factor r(o).
-2*o*(o - 22)**2/3
Let o be 2/(((-3)/(-1137)*2)/1). Let 133*l**2 + 297*l**4 + 27*l**2 + o*l**4 - 20*l - 435*l**3 - 206*l**4 - 175*l**5 = 0. Calculate l.
0, 2/7, 2/5, 1
Let v(t) = 9*t**4 - 10*t**3 - t**2 + 10*t - 4. Let a(k) = -8*k**4 + 10*k**3 + 2*k**2 - 10*k + 3. Let m(w) = 4*a(w) + 3*v(w). Factor m(j).
-5*j*(j - 2)*(j - 1)*(j + 1)
Let w(a) be the first derivative of -12 + 0*a**5 + 0*a**3 + 0*a**4 + 0*a**2 + 0*a + 5/6*a**6. Let w(k) = 0. Calculate k.
0
Let q(o) be the second derivative of -o**4/4 - 696*o. Suppose q(c) = 0. Calculate c.
0
Suppose -f = -5*f + 60. Suppose 3*n + 2*n = f. What is r in -5*r**3 - r**4 + 4*r**4 + 2*r**n + 3*r - 9*r**2 + 6 = 0?
-1, 1, 2
Let y be ((-126)/315 + 82/(-20))/((-2)/3). Let -y*t**3 - 3/4*t**5 + 21/4*t**2 - 3/2*t + 15/4*t**4 + 0 = 0. What is t?
0, 1, 2
Let f(i) be the first derivative of -48*i**4/5 + 336*i**3/5 - 882*i**2/5 + 1029*i/5 + 164. Solve f(c) = 0.
7/4
Determine p, given that 49*p + 51*p + 24*p**2 + 86*p - 21*p**2 - 36*p + 147 = 0.
-49, -1
Let p be (71 + 2 - 8) + 0 + 0. Let z be 1 + 0 + (-26)/p. Solve -z - 3/5*n + 3/5*n**2 + 3/5*n**3 = 0 for n.
-1, 1
Let t(i) be the third derivative of i**7/9660 - i**6/690 + i**5/115 - 2*i**4/69 + 5*i**3/6 + 6*i**2. Let y(q) be the first derivative of t(q). Factor y(h).
2*(h - 2)**3/23
Let p(h) = 7*h**2 - 7*h**2 - h**2. Let g(i) = -i**2 + 5*i + 1. Let k(x) = 3*g(x) - 15*p(x). Find b such that k(b) = 0.
-1, -1/4
Suppose 8*i = 7*i - 57. Let s = i + 66. What is j in -s*j**3 - 4/3*j + 0 + 22/3*j**2 - 2/3*j**5 + 25/6*j**4 = 0?
0, 1/4, 2
Suppose 50 = -c + 53. Factor 6/11*m**4 + 0*m + 2/11*m**2 - 6/11*m**c + 0 - 2/11*m**5.
-2*m**2*(m - 1)**3/11
Let h be ((6/(-20))/((-108)/450))/(6 + -5). Factor 3/4*a - 7/4*a**2 + 0 + h*a**3 - 1/4*a**4.
-a*(a - 3)*(a - 1)**2/4
Let h(l) be the first derivative of 7/36*l**4 + 2/9*l - 9 - 2/27*l**3 - 7/18*l**2. Factor h(u).
(u - 1)*(u + 1)*(7*u - 2)/9
Let r(s) = 9*s**2 + 44*s + 80. Suppose 0*v + v - 7 = 0. Let n(x) = 41*x + 80 + 10*x**2 - v*x + 11*x. Let f(l) = -4*n(l) + 5*r(l). Let f(g) = 0. Calculate g.
-4
Suppose 2/7*d**4 - 8*d**2 - 2*d**3 - 40/7*d + 0 = 0. What is d?
-2, -1, 0, 10
Let v(x) be the third derivative of 125/756*x**8 + 1/3*x**6 - 4*x**2 + 0 + 1/54*x**4 + 80/189*x**7 + 0*x**3 + 16/135*x**5 + 0*x. Solve v(f) = 0.
-1, -1/5, 0
Let s = 169/7 - 25. Let f = s + 68/63. Factor f + 4/9*n + 2/9*n**2.
2*(n + 1)**2/9
Suppose -47 = -34*f + 21. Let l(u) be the second derivative of 0*u**3 + 0 - 1/7*u**f + 2*u + 1/42*u**4. Let l(g) = 0. What is g?
-1, 1
Let p(z) be the third derivative of z**8/224 - z**7/48 - 17*z**6/432 - z**5/48 - 37*z**3/6 + 5*z**2. Let a(x) be the first derivative of p(x). Factor a(j).
5*j*(j - 3)*(3*j + 1)**2/6
Let q = -13 - -18. Let i(r) = 9*r**2 - 6. Let d(p) = -8*p**2 + p + 5. Let l = 25 - 19. Let b(x) = l*d(x) + q*i(x). Factor b(g).
-3*g*(g - 2)
Let a = 9/182 + 2785/728. Find r, given that a*r**3 + 1/2*r + 0 - 3*r**2 + 3*r**4 - 35/8*r**5 = 0.
-1, 0, 2/7, 2/5, 1
Let r(b) = b**3 - 29*b**2 + 87*b - 69. Let i(k) = -4*k**3 + 88*k**2 - 260*k + 208. Let x(s) = 3*i(s) + 8*r(s). Factor x(o).
-4*(o - 3)**2*(o - 2)
Let k = 375 - 370. Factor 9/5*w - 3/5 + 9/5*w**4 - 6/5*w**2 - 6/5*w**3 - 3/5*w**k.
-3*(w - 1)**4*(w + 1)/5
Let v(n) be the second derivative of -1/3*n**2 + 0 + n + 0*n**4 - 1/60*n**5 + 1/6*n**3. Determine g, given that v(g) = 0.
-2, 1
Let r be (-7)/(3 - (-14)/(-4)). Let f = r + -12. Find w such that 8*w**2 - 19*w**2 + 8*w**2 + 6*w + 0*w**f = 0.
0, 2
Suppose 40 = 13*o - 5*o. Determine i so that -3*i**2 - 3*i**4 - 15 + 7 + 9*i + 9 - 9*i**3 + o = 0.
-2, -1, 1
Let q(d) = -d - 8. Suppose -5*o - 10 = 0, 2*o + 31 = -5*l - 23. Let h be q(l). Factor 0*n**2 - 2*n**2 + 2 + n**2 + n - h*n.
-(n - 1)*(n + 2)
Let c(j) be the first derivative of 0*j + 9 + 0*j**2 - 4/15*j**3. Suppose c(u) = 0. What is u?
0
Let x(j) = -j**3 - 2*j**2 + j - 2. Let f(r) = -4*r**4 - 6*r**3 + 24*r**2 + 22*r - 60. Let p(h) = f(h) - 6*x(h). Factor p(i).
-4*(i - 3)*(i - 1)*(i + 2)**2
Let n(l) be the first derivative of -2*l**3/27 - 26*l**2/9 - 107. Factor n(k).
-2*k*(k + 26)/9
Let g(x) = -44*x**2 - 128*x - 16. Let v(a) = -14*a**2 - 43*a - 5. Let z(s) = -5*g(s) + 16*v(s). Determine i, given that z(i) = 0.
-12, 0
Let c(k) = 3*k**5 - 5*k**4 - 13*k**3 + 29*k**2 - 14*k + 4. Let o(j) = -j**4 + j**3 + j**2 - j - 1. Let x(u) = c(u) + 4*o(u). Factor x(m).
3*m*(m - 3)*(m - 1)**2*(m + 2)
Let t(w) be the second derivative of -w**5/10 - 29*w**4/3 - 260*w**3 + 1800*w**2 + 298*w. Factor t(l).
-2*(l - 2)*(l + 30)**2
Let a(p) = -6*p**3 - 30*p**2 + 38*p - 55. Let v(h) = h**3 + 2*h**2 + 2*h + 1. Let w(q) = -2*a(q) - 14*v(q). Factor w(j).
-2*(j - 12)*(j - 2)**2
Suppose 5 = -3*y - 5*r, 3*y - 7*r = -6*r + 1. Let w(a) be the second derivative of 0 - 6*a**2 - 3/20*a**5 + y*a**3 + 3/4*a**4 - 4*a. What is t in w(t) = 0?
-1, 2
Let h(a) = 8*a**4 - 6*a**3 - 3*a**2 - 19*a - 12. Let