0 + 10 + -5. Factor -1/4*o**2 + x + 0*o.
-(o - 1)*(o + 1)/4
Let t = 189 - 186. Let n(w) be the first derivative of 1 - 6*w - 2/3*w**t - 4*w**2. Factor n(u).
-2*(u + 1)*(u + 3)
Let k(u) be the first derivative of -3/40*u**5 + 1 + 1/4*u**4 - 5*u + 0*u**2 - 1/4*u**3. Let p(f) be the first derivative of k(f). Factor p(g).
-3*g*(g - 1)**2/2
Let a = -28 + 31. Suppose -4*h - 8*h**3 - 9*h**2 + 7*h**2 - 8*h**a + 18*h**2 = 0. Calculate h.
0, 1/2
Suppose -10*o = 46 - 56. Let b(w) = 12*w**2 + 9*w + 36. Let r(a) = a**2 - a + 1. Let t(y) = o*b(y) - 9*r(y). Factor t(d).
3*(d + 3)**2
Let r = -125695/3 - -41899. Factor -10/3*z - r*z**4 - 2*z**3 + 0 + 6*z**2.
-2*z*(z - 1)**2*(z + 5)/3
Let p be 3 - (-2 + (0 - -1)). Suppose -y - 4 = 3*u, -2*y - 6 = -6*y - u. Factor z**3 + z**2 - z - z**4 + 2*z**y + p*z**2 - 6*z**2.
-z*(z - 1)**2*(z + 1)
Suppose -4*p - 2*c + 16 = 6, 0 = -2*p - 2*c + 6. Let m(n) = -3*n + 3. Let t be m(-3). Solve 0 + 4 + 3*w**2 + t*w + 2*w**p = 0 for w.
-2, -2/5
Factor 6*r**2 + 17*r**2 - 39*r + 42*r**2 - 18*r**2 - 33*r**3 - 3*r**4 + 28*r**2.
-3*r*(r - 1)**2*(r + 13)
Let v(h) = -3*h**2 - h + 4. Let r(i) be the second derivative of i**4/12 - i**3/6 + 5*i. Let c = 19 - 18. Let u(y) = c*v(y) + 2*r(y). Factor u(p).
-(p - 1)*(p + 4)
Let t be 6/(-21) + (-15)/21. Let w be ((-3)/3)/t*5. Find m such that -6*m + 7 - w - 4 + 8*m**2 = 0.
-1/4, 1
Let m(p) be the first derivative of -p**4 + 0*p - 8 - 8/3*p**3 + 0*p**2. Factor m(r).
-4*r**2*(r + 2)
Let a(k) be the first derivative of k**3/12 - 3*k**2 + 23*k/4 + 233. Factor a(t).
(t - 23)*(t - 1)/4
Find c such that -172*c**4 - 255*c**3 - 7*c**5 - 15*c**2 + 47*c - 85*c**2 + 62*c**4 + 5*c = 0.
-13, -2, -1, 0, 2/7
Let d(t) be the third derivative of t**6/480 - 2*t**5/15 - 11*t**4/32 - 7*t**2 + 35. Determine z so that d(z) = 0.
-1, 0, 33
Determine f so that -16 - 76*f - 54 - 5*f**2 + f = 0.
-14, -1
Suppose -23*w + 8*w = -30. Let s(y) be the second derivative of w*y**3 + 0 - 3*y - 1/4*y**4 + 0*y**2. Let s(j) = 0. What is j?
0, 4
Let o(y) be the second derivative of -y**8/30240 - y**7/11340 + y**6/1620 - 7*y**4/4 - 6*y. Let g(j) be the third derivative of o(j). Solve g(d) = 0.
-2, 0, 1
Let z = -725 + 725. Let p(v) be the second derivative of z*v**2 - 1/60*v**4 + 0 - 4*v + 1/100*v**5 + 0*v**3. Find c, given that p(c) = 0.
0, 1
Find u, given that 21/2*u**5 + 17*u**4 - 38*u**2 - 6*u - 111/2*u**3 + 0 = 0.
-3, -1/3, -2/7, 0, 2
Let j be 966/8820 + (-1)/7. Let o = 5/6 + j. Solve -4/5 + o*z - 1/5*z**2 = 0 for z.
2
Let c(f) be the first derivative of -5*f**7/42 - f**6/12 + 5*f**5/12 + 5*f**4/12 - 6*f**2 + 10. Let v(z) be the second derivative of c(z). Factor v(s).
-5*s*(s - 1)*(s + 1)*(5*s + 2)
Let t(x) be the second derivative of 9*x - 3/50*x**5 + 0 + 13/30*x**4 + 3/5*x**2 - 13/15*x**3. Factor t(v).
-2*(v - 3)*(v - 1)*(3*v - 1)/5
Let b(w) = 4*w**2 - w - 2. Let y(r) = 5*r**2 + 14*r - 3 + 10*r - 26*r. Let c(d) = -4*b(d) + 3*y(d). Solve c(n) = 0 for n.
-1
Let u = 488/35 - 474/35. What is l in -8/5*l**2 + 2*l - 4/5 + u*l**3 = 0?
1, 2
Let p be (-16)/84 + (-16)/(-12). Suppose 2*g - 10 = -3*g, -r + g = 0. What is w in -2/7 + p*w**r + 6/7*w = 0?
-1, 1/4
Let r(z) be the first derivative of 4 + 5/2*z**2 - 5/6*z**4 - 25/9*z**3 + 0*z. Factor r(b).
-5*b*(b + 3)*(2*b - 1)/3
Find f such that -802*f - 5*f**3 + 472*f - 115*f**2 + 450*f = 0.
-24, 0, 1
Factor 22/5*a + 17/5*a**2 - 13/5*a**3 - 8/5.
-(a - 2)*(a + 1)*(13*a - 4)/5
Let d(w) = w**3 + 11*w**2 + 17*w + 11. Let b be d(-9). Solve 65*l**2 - 128*l - 5*l**4 - 50*l**2 + b*l**3 + 38*l = 0 for l.
-2, 0, 3
Let c(g) be the third derivative of -g**5/15 - 13*g**4/3 - 32*g**3 - 151*g**2. Suppose c(z) = 0. What is z?
-24, -2
Let t(x) = -x**3 - 11*x**2 - 4*x + 68. Let f be t(-10). Let w(i) be the first derivative of 6*i + 9/2*i**2 - f + i**3. Determine k so that w(k) = 0.
-2, -1
Let n(o) be the first derivative of -1/6*o**4 + 0*o - 2/3*o**3 + 2/5*o**5 + 2/3*o**2 + 13 - 1/9*o**6. Solve n(s) = 0.
-1, 0, 1, 2
Let a = -9251/4 + 2333. Let h = 920 - 917. Factor a*i - 27/4*i**2 - 81/4 + 3/4*i**h.
3*(i - 3)**3/4
Factor 2 + 7*p**3 - 3 - p**3 + p**4 + 9*p**2 - 4*p - 8 - 3.
(p - 1)*(p + 2)**2*(p + 3)
Let j = -1584 - -1588. Determine r so that -2/7*r + 0*r**3 + 2/7*r**5 + 0 + 4/7*r**2 - 4/7*r**j = 0.
-1, 0, 1
Let s(x) = -5*x**3 + 6*x**3 + 0*x**3. Let d(a) = 3*a**2 + 2*a**3 + 1 + a + a + 3*a - 8*a. Let r(g) = d(g) - 3*s(g). Solve r(h) = 0.
1
Let w(j) be the second derivative of 0*j**2 - 5/36*j**4 + 10/9*j**3 - 20*j + 0. Solve w(p) = 0.
0, 4
Let o be (-208)/(-46 - -20) - (-23)/(-4). Factor o + 3/2*s - 3/4*s**2.
-3*(s - 3)*(s + 1)/4
Let h(a) be the second derivative of -a**8/6720 + a**6/180 - 3*a**4/4 - 9*a. Let q(u) be the third derivative of h(u). Factor q(r).
-r*(r - 2)*(r + 2)
Let p be 0 + 78/21 + -3 - 8/56. Factor 4/7 - 4/7*c + 4/7*c**3 - p*c**2.
4*(c - 1)**2*(c + 1)/7
Let s = 47922 - 95843/2. Factor 1/2*o**4 + 13*o**2 + 7*o**3 + 5/2 - s*o**5 + 19/2*o.
-(o - 5)*(o + 1)**4/2
Let z(q) be the second derivative of q**6/180 - q**5/20 - q**3/6 - 4*q. Let j(p) be the second derivative of z(p). Determine f, given that j(f) = 0.
0, 3
Suppose 0 = 11*h - 7*h - 24. Factor -2*s**2 + 8*s + h*s - 6 - 6*s.
-2*(s - 3)*(s - 1)
Let q = -52/9 - -53/9. Let m(u) be the second derivative of 1/54*u**4 + 2/27*u**3 + u + q*u**2 + 0. Let m(c) = 0. Calculate c.
-1
Let f(v) be the first derivative of 3*v**5/35 - 33*v**4/7 + 85*v**3/7 - 9*v**2 + 173. Find l such that f(l) = 0.
0, 1, 42
Let t = 181/45 - 29/9. Let u(q) be the second derivative of 7*q - 2*q**2 + 4*q**3 + t*q**5 - 3*q**4 + 0. Factor u(i).
4*(i - 1)**2*(4*i - 1)
Let l(w) be the second derivative of w**5/100 + 19*w**4/60 + 33*w**3/10 + 81*w**2/10 + 48*w. Let l(y) = 0. Calculate y.
-9, -1
Let g(u) = -4*u**2 - 44*u + 68. Let f(n) = -4*n**2 - 48*n + 68. Let y(s) = 5*f(s) - 4*g(s). What is z in y(z) = 0?
-17, 1
Let c(n) be the first derivative of 7*n**5/10 - 29*n**4/4 + 3*n**3/2 + 29*n**2/2 - 8*n + 167. Determine y, given that c(y) = 0.
-1, 2/7, 1, 8
Factor 8*n**2 - 545*n**3 + 549*n**3 + 144 - 11*n**2 - 48*n - 3*n**2 - 14*n**2.
4*(n - 6)*(n - 2)*(n + 3)
Suppose -167 + 183 = 8*t. Let o(a) be the first derivative of -1/2*a**4 - 2/5*a**5 + 4*a**3 - 16*a - t + 4*a**2. Factor o(v).
-2*(v - 2)*(v - 1)*(v + 2)**2
Let s(c) be the first derivative of 5 + 0*c**5 + 0*c**3 + 3/16*c**2 - 3/16*c**4 + 0*c + 1/16*c**6. Factor s(n).
3*n*(n - 1)**2*(n + 1)**2/8
Suppose 4*d - 5*v = 9, v + 2*v = -5*d + 2. Suppose -2*x + 3 = -d. Factor 1 + 4*a + 2*a**2 - x + 3.
2*(a + 1)**2
Let y be 3*(-13 + 6)/(-7). Let k(l) be the first derivative of -5 + 0*l + 0*l**2 - 2/3*l**y. Factor k(j).
-2*j**2
Let j(i) = 2*i**2 + 1636*i + 12963. Let b be j(-8). Let 1/3*l**4 + 0*l + 0*l**2 + 1/3*l**b + 0 = 0. Calculate l.
-1, 0
Let n(s) be the first derivative of 6*s**6/7 - 12*s**5/35 - 53*s**4/7 + 52*s**3/3 - 16*s**2 + 48*s/7 + 308. Determine r so that n(r) = 0.
-3, 2/3, 1
Let u(g) be the second derivative of g**4/4 - 31*g**3/2 + 126*g**2 + 2*g + 44. Factor u(t).
3*(t - 28)*(t - 3)
Let j(l) = -10*l - 156. Let r be j(-16). Let t = 1537/236 + 14/59. Solve -3/2*w - t*w**2 - 9/2*w**r + 0 - 39/4*w**3 = 0.
-1, -2/3, -1/2, 0
Let h(c) be the third derivative of c**6/360 - c**4/24 + 20*c**3/3 + 12*c**2. Let x(k) be the first derivative of h(k). Find j, given that x(j) = 0.
-1, 1
Let l(u) be the third derivative of -u**5/105 - u**4/42 + 10*u**2 + 3. Find w such that l(w) = 0.
-1, 0
Let d(s) = -s - 1. Let h be d(-9). Let t(n) be the first derivative of 2/15*n**3 - 4/5*n + h + 1/5*n**2. Find f, given that t(f) = 0.
-2, 1
Let s be (8/(-12))/(2062/1035 + -2). Let k = s + -86. Factor 3/4*q**2 + q + k.
(q + 1)*(3*q + 1)/4
Factor 21/2 + 3/2*o**2 + 25/2*o - 1/2*o**3.
-(o - 7)*(o + 1)*(o + 3)/2
Let f(l) be the first derivative of l**7/14 - l**6/15 - 3*l**5/20 + l**4/6 - 11*l - 2. Let a(c) be the first derivative of f(c). Suppose a(t) = 0. Calculate t.
-1, 0, 2/3, 1
Let x(h) be the third derivative of h**8/84 - 3*h**7/70 - 7*h**6/60 + h**5/5 + 5*h**4/12 - h**3/2 + 156*h**2. What is b in x(b) = 0?
-1, 1/4, 1, 3
Find w, given that -15/8 + 9/4*w**2 + 87/8*w = 0.
-5, 1/6
Let l be -21 + (-22036)/(-1008) - ((-28)/(-9) + -3). Determine i, given that 3/4*i - l*i**3 + 0 + 3/4*i**4 - 3/4*i**2 = 0.
-1, 0, 1
Factor -8/3*r + 0 + 6*r**2 - 4*r**3 + 2/3*r**4.
2*r