rivative of f**4 + 0 + 2/15*f**6 - 45*f + 0*f**2 - 4/5*f**5 + 0*f**3. Factor x(o).
4*o**2*(o - 3)*(o - 1)
Suppose -4*p + 264 = a - 5*a, 2*a - 208 = -3*p. Let d = -63 + p. Suppose -3*w**2 + 2*w - 10*w**d - 41*w**4 + 8*w**2 + 6*w - w**2 - 42*w**3 = 0. What is w?
-2, -1/2, 0, 2/5
Let n(s) be the third derivative of -8*s**5/15 - 39*s**4 - 4563*s**3/4 + 729*s**2. Suppose n(c) = 0. What is c?
-117/8
Suppose -2*a - 21 + 31 = 0. Find f, given that -3*f**3 - 180*f**2 + 144*f**2 + 3*f**a + f**5 + 36*f**4 - f**5 = 0.
-12, -1, 0, 1
Suppose -1676 - 632 + s**3 + 1049 - 313 - 123*s**2 - 1036*s = 0. Calculate s.
-6, -2, 131
Suppose -17 = -22*l + 49. Let c = 4 + 142. Find t such that -103*t**4 + 85*t**3 - c*t + l*t**2 + 20*t**5 + 20 - 2*t**4 + 82*t**2 + 41*t = 0.
-1, 1/4, 1, 4
Let x(j) be the third derivative of -j**5/90 - 55*j**4/12 - 54*j**3 + 29*j**2 + 22*j. Let x(w) = 0. What is w?
-162, -3
Suppose -2425 - 2502 - 2304 = 100*s - 7431. Suppose 14/3 - 5/6*p**s - 34/3*p = 0. What is p?
-14, 2/5
Let q(w) be the second derivative of -w**6/6 + 47*w**5/15 - 3*w**4 - w**2/2 + w. Let g(f) be the first derivative of q(f). Factor g(d).
-4*d*(d - 9)*(5*d - 2)
Let s = 2491 - 2491. Factor 2/3 - 2/3*d**2 + s*d.
-2*(d - 1)*(d + 1)/3
Let l = -23577 + 23580. Determine b so that 3*b**5 + 7/3*b**4 + 0 - 2*b + 37/3*b**2 - 47/3*b**l = 0.
-3, 0, 2/9, 1
Let r(p) = 66*p + 141. Let a be r(-2). Let g be a + -3 - 60/(-6 + 16). Let 0 + w**3 + 1/3*w**2 + 2/3*w**4 + g*w = 0. Calculate w.
-1, -1/2, 0
Suppose 3726*q + 10230*q - 9457817 - 4025383 - 3*q**2 + 0*q**2 - 1236*q = 0. Calculate q.
2120
Let v be 208/(-4)*125/(-700) - (23 - 14). Solve 34/7*u**2 + 0 + 0*u + v*u**3 = 0.
-17, 0
Let y(c) = c**2. Let z(n) = 5*n + 6*n + 5*n**2 - 15 + 9 - 6*n + 8. Let t(g) = -2*y(g) + z(g). Factor t(w).
(w + 1)*(3*w + 2)
Let y be (12/14)/(75 + 1948278/(-25984)). Factor 4*a**3 + 76/3*a + y*a**2 - 40/3.
4*(a + 1)*(a + 10)*(3*a - 1)/3
Let g be 17/(-20) + 2328/1455. Let i(s) be the first derivative of -3/2*s**2 + g*s**4 - 4 - 7/3*s**3 + s**5 + 2*s. Solve i(v) = 0.
-1, 2/5, 1
Let w(i) be the third derivative of -i**7/27720 - i**6/3960 - 19*i**4/12 + i**2 + 7. Let g(r) be the second derivative of w(r). Let g(c) = 0. Calculate c.
-2, 0
Let x(d) be the first derivative of 1/12*d**4 - 6*d + 0*d**3 + 0*d**5 - 1/60*d**6 - 1/4*d**2 + 4. Let j(g) be the first derivative of x(g). Factor j(p).
-(p - 1)**2*(p + 1)**2/2
Let a(q) be the first derivative of 13*q**5 - 5360*q**4 + 18085*q**3/3 + 1645*q**2 + 1440. Determine o so that a(o) = 0.
-2/13, 0, 1, 329
Let j = 72997 + -72995. Factor 3/4*u**4 + 0*u**j + 1/2*u**3 + 0*u - 5/4*u**5 + 0.
-u**3*(u - 1)*(5*u + 2)/4
Suppose -3*p - 4*l + 2*l = -10, -4 = -4*p + 2*l. Suppose 0 = -2*f + 12*o - 9*o + 13, 16 = 5*f - p*o. Find c, given that -98/11*c**f - 56/11*c - 8/11 = 0.
-2/7
Let l(u) = 530*u + 210942. Let f be l(-398). Factor 12 - 4/3*q**f + 12*q - 4/3*q**3.
-4*(q - 3)*(q + 1)*(q + 3)/3
Let q(z) be the second derivative of -3/7*z**2 + 1/70*z**6 + 1/28*z**4 + 0 - 4*z - 3/14*z**3 + 9/140*z**5. Determine h so that q(h) = 0.
-2, -1, 1
Factor -86*n - 219*n + n**2 - n**2 + 69*n - 4*n**2.
-4*n*(n + 59)
Let o be (-3 + 44/24)*(2880/56)/(-24). Find r, given that 27/2*r**3 + 18*r - 25*r**2 - 4 - o*r**4 = 0.
2/5, 1, 2
Let d(o) = 12*o + 9. Let c be d(-3). Let n = c + 38. Solve -z**3 + 15*z**4 - 11*z**4 + n*z**4 - 5*z**5 - 9*z**3 = 0 for z.
0, 1, 2
Let u be ((-12)/(-108) - 32/432)*(-3)/(-1). Let u*c**4 - 1/9*c**3 - 8/3 - 22/9*c**2 - 44/9*c = 0. Calculate c.
-2, -1, 6
Let m(f) be the third derivative of -f**7/168 + f**6/6 - 3*f**5/2 + 20*f**4/3 + 142*f**3/3 + 287*f**2. Let i(a) be the first derivative of m(a). Factor i(g).
-5*(g - 8)*(g - 2)**2
Let o be 48/20*(-65)/(-52). Find a, given that 32 + 120*a**o + 330*a**2 + 5*a**4 + 6*a + 314*a + 73 = 0.
-21, -1
Suppose 1982907/2 + 2439*j + 3/2*j**2 = 0. Calculate j.
-813
Solve 320*r - 1335*r + 4*r**2 + 307*r + 1400 = 0 for r.
2, 175
Let b(v) = 8*v**2 + 9551*v + 2213408. Let m(t) = -4*t**2 - 4662*t - 1106704. Let x(q) = -2*b(q) - 5*m(q). Find g, given that x(g) = 0.
-526
Factor -649/2*j - 650 + 1/4*j**2.
(j - 1300)*(j + 2)/4
What is w in -42/5*w + 2/5*w**3 - 2/5*w**4 - 72/5 + 34/5*w**2 = 0?
-4, -1, 3
Let c(y) = 74*y - 7 + y**2 - 136*y + 2 + 66*y. Let x(k) be the first derivative of -2*k**3/3 - 3*k**2/2 + 5*k - 5. Let i(w) = -7*c(w) - 6*x(w). Factor i(t).
5*(t - 1)**2
Let p(l) = l**5 + l**4 + 4*l**3 - l - 5. Let d(n) = 8*n**5 - 29*n**4 + 63*n**3 - 7*n - 35. Let f(u) = -5*d(u) + 35*p(u). Suppose f(s) = 0. Calculate s.
0, 1, 35
Let f(m) be the second derivative of -m**5/5 - 11*m**4/3 - 52*m**3/3 - 32*m**2 + 5135*m. Factor f(l).
-4*(l + 1)*(l + 2)*(l + 8)
Let n(u) be the second derivative of 3/22*u**4 - 29 - 2/11*u**3 - 15/11*u**2 + u. Factor n(x).
6*(x + 1)*(3*x - 5)/11
Factor 3/8*k + 1/8*k**3 + 0 - 1/2*k**2.
k*(k - 3)*(k - 1)/8
Let g = 128092 - 128082. Suppose 28/3 + g*s + 3*s**2 + 1/6*s**3 = 0. Calculate s.
-14, -2
Factor -861*z + 3930*z**3 + 3943*z**3 + 429 + 435*z**2 - 7876*z**3.
-3*(z - 143)*(z - 1)**2
Let l(w) = -w**3 + 15*w**2 - 20*w + 146. Let o be l(13). Determine k so that 66*k**2 + k**4 + k**4 + 128 + o*k - 69988*k**3 + 69960*k**3 = 0.
-1, 8
Suppose -4*g + 23 = -5. Suppose -g = x - 3*m - 111, 3*x - 296 = 5*m. Factor 3*n**2 + 250 - 176*n + x*n + 338.
3*(n - 14)**2
Let f(o) be the third derivative of 1/36*o**5 - 3*o**2 + 0*o - 35/24*o**4 + 0*o**3 - 1. Factor f(l).
5*l*(l - 21)/3
Determine i, given that -60*i**3 - 9 - 10*i**2 + 1 + 59*i**3 - 3*i + 48 + 14 = 0.
-9, -3, 2
Let v(j) be the second derivative of -32/3*j**3 + 13/5*j**5 - 2*j + 0 + j**4 - 8*j**2 + 8/15*j**6. Factor v(o).
4*(o - 1)*(o + 2)**2*(4*o + 1)
Suppose 6*z + 237 = 5583. Let n = z + -7127/8. Factor -1/8 - n*l**2 - 1/4*l.
-(l + 1)**2/8
Factor 98 - 292*o**2 + 113*o + 195*o + 116*o**2 + 418*o**2.
2*(11*o + 7)**2
Let d = 175 - 1219/7. Let r = -3/17056 + 68245/119392. What is z in -d*z**4 + 2/7*z**3 - r*z + 6/7*z**2 + 2/7*z**5 + 0 = 0?
-1, 0, 1, 2
Let n(j) be the third derivative of 12*j + 0 + 6*j**2 + 1/120*j**6 + 9/2*j**3 + 55/24*j**4 + 29/60*j**5. Factor n(s).
(s + 1)**2*(s + 27)
Let i = 8 - 16. Let r be (1/2)/((-4)/i). Let t(n) = -n**2 - 1. Let d(l) = -2*l. Let j(g) = r*t(g) - d(g). Factor j(x).
-(x - 1)**2
Let r = -1 - -6. Suppose 3*y = 5*v - 12, 3*v - 76*y + 16 = -80*y. Factor 744*l**2 - 736*l**2 - 4*l**r + v*l + 16*l**4 - 20*l**3 + 0*l.
-4*l**2*(l - 2)*(l - 1)**2
Let c(w) be the second derivative of 17 - 5/48*w**4 + 65/8*w**2 - 3*w - 5/2*w**3. Solve c(v) = 0 for v.
-13, 1
Let y be (-122)/(-22) - 36/66. Determine w so that -w**3 - 2*w**3 - 8*w**2 - 29 - w**3 + 2*w**4 + 29 + w**y = 0.
-2, 0, 2
Let f(h) be the second derivative of -1/2*h**4 + 3 - 2/5*h**5 - 13*h + 0*h**3 - 1/15*h**6 + 0*h**2. What is g in f(g) = 0?
-3, -1, 0
Factor -1/6*a**3 - 35/6*a**2 - 62/3*a + 0.
-a*(a + 4)*(a + 31)/6
Let h(j) be the first derivative of -j**3/2 - 229*j**2/2 + 153*j/2 + 1329. Find r such that h(r) = 0.
-153, 1/3
Let x(o) be the second derivative of o**6/180 + 3*o**5/10 - 19*o**4/12 + 19*o**3/6 + 92*o. Let t(r) be the second derivative of x(r). Find s such that t(s) = 0.
-19, 1
Let p(a) = a**4 - 13*a**3 + 11*a**2 - 11*a. Suppose -138 = -2*b - 21*b. Let g(m) = m**3 + m. Let v(l) = b*g(l) + p(l). Solve v(d) = 0.
0, 1, 5
Let b(y) be the second derivative of -15/2*y**2 + 99*y - 5/6*y**3 + 5/4*y**4 + 0 + 1/4*y**5. Factor b(s).
5*(s - 1)*(s + 1)*(s + 3)
Let y(h) = 2*h - 24. Let x(v) = -v**2 - 11*v + 12. Let s be x(-11). Let n be y(s). Factor 5*w**4 + n*w**4 + 27*w**3 + 38*w**2 + 48*w - 2*w**4 + 34*w**2.
3*w*(w + 1)*(w + 4)**2
Let i(x) = 6*x**2 + 124*x + 80. Let s be i(-20). Let h(l) be the second derivative of s - 24*l - l**2 - 1/3*l**4 + l**3. Determine w so that h(w) = 0.
1/2, 1
Let v(k) be the first derivative of k**4/8 + 13*k**3/6 + 11*k**2 + 16*k + 931. Solve v(i) = 0 for i.
-8, -4, -1
Suppose y + 4*v - 12 = 0, 64 = 2*y + 116*v - 113*v. Solve 52/3*d**3 + y*d**2 + 4/3*d**4 + 124/3*d + 40/3 = 0.
-10, -1
Let q(c) be the first derivative of -68/3*c**3 + 8*c**4 + 20*c**2 - 4/5*c**5 + 0*c + 31. Factor q(j).
-4*j*(j - 5)*(j - 2)*(j - 1)
Let v be ((-1)/(-4))/(((-6)/80)/((-95)/475)). Solve -8/3 - v*b + 1/3*b**2 = 0.
-2, 4
Let n(b) be the second derivative of 5*b**7/42 + 20*b**6 + 59*b**5 - 5*b**4/6 - 39