actor z(b).
-2*b*(b + 1)*(b + 2)
Let m(v) be the first derivative of 90 - 2*v**4 - 88/3*v**2 + 2/15*v**5 + 32*v + 34/3*v**3. Factor m(z).
2*(z - 4)**2*(z - 3)*(z - 1)/3
Let p(n) be the first derivative of -n**3/4 + 219*n**2/2 - 435*n - 2025. Suppose p(i) = 0. What is i?
2, 290
Solve 16/5*w**2 + 2*w - 28/5 + 2/5*w**3 = 0.
-7, -2, 1
Suppose -3*v = -9, 0*n + 14 = n + 4*v. Factor 28*y**2 + 8 - 8*y - 61*y**2 + 35*y**n.
2*(y - 2)**2
Let y(t) be the second derivative of -t**6/90 - 14*t**5/5 - 3611*t**4/18 - 2324*t**3/3 - 6889*t**2/6 + 7332*t. Solve y(v) = 0 for v.
-83, -1
Let q(n) be the first derivative of -2*n**5/85 + 2*n**4/17 - 2*n**3/17 - 3504. Suppose q(z) = 0. What is z?
0, 1, 3
Factor -668/9*z - 1/9*z**3 - 25*z**2 - 148/3.
-(z + 1)*(z + 2)*(z + 222)/9
Let o = -3014/921 + 1107/307. Suppose -o*z**2 + 0 - 10/3*z = 0. Calculate z.
-10, 0
Let m(y) be the second derivative of y**5/50 + 253*y**4/30 - 766*y**3/15 + 512*y**2/5 + 76*y + 3. Factor m(h).
2*(h - 2)*(h - 1)*(h + 256)/5
Let h be (-3)/30*4*-5. Let o(b) = -17*b**2 - 38*b + 17. Let y(j) = -120*j**2 - 265*j + 120. Let a(u) = h*y(u) - 15*o(u). Determine v, given that a(v) = 0.
-3, 1/3
Let m(p) = -14*p**3 + 1511*p**2 + 44*p + 33. Let x(n) = 3*n**3 - 302*n**2 - 8*n - 6. Let a(c) = -2*m(c) - 11*x(c). Suppose a(h) = 0. What is h?
0, 60
Let j(w) be the second derivative of -w**7/189 + 34*w**6/135 - 107*w**5/45 - 628*w**4/27 - 1729*w**3/27 - 722*w**2/9 - 2424*w. Solve j(m) = 0 for m.
-2, -1, 19
Let f(k) = -14*k**2 - 57*k - 28. Let w(q) = 5*q**2 + 20*q + 9. Let x(h) = -6*f(h) - 17*w(h). Factor x(a).
-(a - 5)*(a + 3)
Let f(x) be the second derivative of 1 - 39*x - 11/3*x**2 + 1/2*x**3 + 1/36*x**4. What is j in f(j) = 0?
-11, 2
Suppose 0 = -2*t - 2*a - 4, 0*a = t - 3*a - 6. Suppose t = -p + 2*p + 4, -1336 = -4*s + p. Solve 196 - 14*k**3 - s*k - 153*k**2 - 297*k - 39*k**2 = 0 for k.
-7, 2/7
Let t(a) be the third derivative of -a**7/1260 - 7*a**6/240 + 17*a**5/40 - 239*a**4/144 + 3*a**3 - 2*a**2 - 908*a. Factor t(f).
-(f - 4)*(f - 1)**2*(f + 27)/6
Suppose -188/7*x**2 + 48/7*x + 16/7*x**4 + 0 - 20/7*x**3 = 0. Calculate x.
-3, 0, 1/4, 4
Let c(m) be the third derivative of 1/840*m**8 - 1/525*m**7 + 22 - 13/75*m**5 - 19/60*m**4 - 7/150*m**6 + m**2 - 1/3*m**3 + 0*m. Factor c(w).
2*(w - 5)*(w + 1)**4/5
Let p(z) be the third derivative of -z**5/80 + 79*z**4/48 - 345*z**3/8 + 6997*z**2. Suppose p(g) = 0. Calculate g.
23/3, 45
Let j be 3 - 9 - ((-445058)/66585 - (-4)/230). Factor -8*k + 39/2*k**2 + j + 169/6*k**3.
(k + 1)*(13*k - 2)**2/6
Suppose -2*y = -5*d + 36, -310*d = 2*y - 308*d - 20. Factor -42/5*p**y + 0 + 24/5*p + 21/5*p**3 - 3/5*p**4.
-3*p*(p - 4)*(p - 2)*(p - 1)/5
Let j = 468726 - 468726. Find a, given that j + 1/4*a**4 - 1/4*a**3 + 0*a - 3*a**2 = 0.
-3, 0, 4
Let c = -1/59229 - -1599187/236916. Factor 15/2 - c*w - 3/4*w**2.
-3*(w - 1)*(w + 10)/4
Suppose c - 48 = 2*p + 64, -3*p - 327 = -3*c. Factor -32*a + 1620 + c*a + 5*a**2 + 106*a.
5*(a + 18)**2
Suppose -122/3*b - 2/3*b**2 - 460 = 0. What is b?
-46, -15
Let l(n) be the first derivative of -n**3/3 - 16*n**2 - 135*n + 253. Factor l(g).
-(g + 5)*(g + 27)
Determine i so that -608/3*i - 70/3*i**4 + 56*i**3 + 202/3*i**2 + 104 - 4/3*i**5 = 0.
-39/2, -2, 1, 2
Determine y, given that -11*y**4 + 10*y**4 - 1600*y + 81*y**2 - 321*y**2 + 36*y**3 + 237 - 237 = 0.
-4, 0, 20
Let r = -10/1059 + 22259/2118. Let -30 + 57/2*n**2 - 3/2*n**5 - r*n**3 + 24*n - 21/2*n**4 = 0. What is n?
-5, -2, 1
Find c, given that 156/7*c**3 - 32/7*c**5 + 0 - 24/7*c - 24*c**4 + 68/7*c**2 = 0.
-6, -1/2, 0, 1/4, 1
Factor 426*o + 4*o**2 - 44*o - 40*o - 27*o - 3380 + 341*o.
4*(o - 5)*(o + 169)
Let u be -5*(-6)/330 + 38110/4532. Factor -5*t**3 + 0 - u*t**2 - 4*t - 1/2*t**4.
-t*(t + 1)**2*(t + 8)/2
Factor 6*i**2 + 13*i + 38*i + 60*i - 26*i - 5*i**2.
i*(i + 85)
Suppose -616 = -2*c - 2*r, 13*r = 5*c + 14*r - 1520. Determine v so that -c*v**2 - 3*v**3 - 1030301 - 3*v**3 + 7*v**3 + 8516*v + 22087*v = 0.
101
Let o(s) be the second derivative of -s**6/135 - 2*s**5/15 - 29*s**4/54 - 2*s**3/3 - 399*s. Factor o(a).
-2*a*(a + 1)*(a + 2)*(a + 9)/9
Let x(p) be the first derivative of 8 - 3/5*p**5 + 3/2*p - 3/4*p**4 + 1/2*p**3 + 15/8*p**2 - 1/8*p**6. What is c in x(c) = 0?
-2, -1, 1
Let z = -9 + 13. Suppose 2*u + 4 = 4*c, 3*u = -7*c + z*c + 12. Factor -7*q**3 + 10*q + 5*q**c - 3*q**3 - 4*q**4 + 2*q**4 - 3*q**4.
-5*q*(q - 1)*(q + 1)*(q + 2)
Let g(t) be the third derivative of -t**5/20 + 157*t**4/4 - 24649*t**3/2 - 1065*t**2. Determine q so that g(q) = 0.
157
Let j(x) be the second derivative of 2*x - 1/42*x**7 + 3/20*x**5 + 2/3*x**3 + 0*x**2 + 1/15*x**6 + 22 - 2/3*x**4. Solve j(u) = 0 for u.
-2, 0, 1, 2
Let b(y) = 25*y**2 - 185*y + 1350. Let n(h) = 63*h**2 - 370*h + 2703. Let d(r) = 5*b(r) - 2*n(r). Factor d(x).
-(x - 7)*(x + 192)
Let x(s) be the third derivative of -s**7/1050 - s**6/450 + s**5/30 - s**4/6 + s**3/3 + 13*s**2 - 1. Let g(r) be the second derivative of x(r). Solve g(l) = 0.
-5/3, 1
Let h be (-10)/(-75) + (-4756)/(-3480). Factor -h*m + 3/2*m**4 + 3/2*m**3 - 3/2*m**2 + 0.
3*m*(m - 1)*(m + 1)**2/2
Let x = -7/4618 + -1500409/290934. Let h = 58/9 + x. Factor -1/7*n**3 + 4/7 + 6/7*n**2 - h*n.
-(n - 4)*(n - 1)**2/7
Factor 3*t**3 + 210*t**2 + 1040*t + 116*t + 4500 + 719*t.
3*(t + 5)**2*(t + 60)
Let v be (-2)/((-6)/(-15) - (-436)/(-1065)). Let t = v - 213. Factor 1/4*j**5 + 0*j - 1/4*j**3 - 1/4*j**4 + 1/4*j**2 + t.
j**2*(j - 1)**2*(j + 1)/4
Let a(o) be the third derivative of 0 + 1/8*o**4 + 0*o**3 - 1/60*o**5 - 46*o**2 + 0*o. Let a(m) = 0. What is m?
0, 3
Let n(l) be the second derivative of -7/4*l**5 + 41 - 5/4*l**4 - 35*l**2 + 1/6*l**6 + 3*l + 115/6*l**3. Factor n(t).
5*(t - 7)*(t - 1)**2*(t + 2)
Let g(b) = -b**3 + b**2 - 4*b + 6. Let u be g(0). Let f be u/4 + -6 + 50/10. Factor 0 - 3*t**4 - 5*t**2 - 3/2*t - f*t**5 - 6*t**3.
-t*(t + 1)**3*(t + 3)/2
Let p(j) be the third derivative of 2*j**7/105 - 4*j**6/3 - 691*j**5/60 - 569*j**4/24 - 22*j**3 - 7065*j**2. Factor p(h).
(h - 44)*(h + 3)*(2*h + 1)**2
Let t = 81 - 84. Let x = t + 45. Factor 70*g - x*g - 15*g**4 - 425*g**2 + 155*g**3 + 97*g.
-5*g*(g - 5)**2*(3*g - 1)
Let a(l) be the second derivative of -l**7/2520 - l**6/48 - 7*l**5/15 - 11*l**4/3 - l**3/3 + 327*l. Let k(h) be the third derivative of a(h). Factor k(b).
-(b + 7)*(b + 8)
Let d(c) be the second derivative of -c**4/12 - 23*c**3/6 + 12*c**2 + 868*c + 1. Factor d(f).
-(f - 1)*(f + 24)
Let x(i) be the first derivative of -1/18*i**4 + 0*i**2 + 7 + 4/27*i**3 + 0*i. Let x(c) = 0. Calculate c.
0, 2
Let r = -21 + 46. Suppose r = 2*z + 3. Factor -z + 13*i - 10*i**2 + 10*i + 2*i + 1.
-5*(i - 2)*(2*i - 1)
Let o = -1547741339624/9177 + 168654390. Let c = 4/1311 - o. Factor 0 - 6/7*g**2 - c*g**4 + 6/7*g**3 + 2/7*g.
-2*g*(g - 1)**3/7
Suppose -13*o + 8 + 31 = 0. Factor 10 + 0*v**2 - 3*v**3 + 6*v - 6*v**2 - o*v - 4.
-3*(v - 1)*(v + 1)*(v + 2)
Let m(n) be the second derivative of -25*n**7/147 + 44*n**6/21 - 332*n**5/35 + 416*n**4/21 - 400*n**3/21 + 64*n**2/7 + 2948*n. Determine v so that m(v) = 0.
2/5, 2, 4
Factor 2/15*h**2 + 124/3*h - 622/15.
2*(h - 1)*(h + 311)/15
Let 72 + 264/5*p**4 - 66*p**2 + 876/5*p - 3*p**5 - 567/5*p**3 = 0. Calculate p.
-1, -2/5, 2, 15
Let d = 36 + -475/13. Let r = d + 155/143. Factor 0 - 12/11*l**2 + r*l**3 + 6/11*l.
6*l*(l - 1)**2/11
Suppose -30*y + 67*y + 100*y = 0. Let h(a) be the third derivative of 22*a**2 - 1/140*a**5 - 5/84*a**4 + 4/21*a**3 + y + 0*a. Factor h(i).
-(i + 4)*(3*i - 2)/7
Factor -1/3*l**4 + 816 + 100*l**3 + 3664/3*l + 608*l**2.
-(l - 306)*(l + 2)**3/3
Let v(h) be the third derivative of 0 + 1/6*h**6 + 2*h**3 - 2/35*h**7 + 1/168*h**8 - 11/12*h**4 - 27*h**2 + 0*h**5 + 0*h. Find u, given that v(u) = 0.
-1, 1, 2, 3
Let f(y) be the third derivative of y**7/315 - y**6/180 - y**5/90 + y**4/36 + 6*y**2 + 10*y. Determine g, given that f(g) = 0.
-1, 0, 1
Solve -2/3*g**2 - 22/3*g - 16 = 0 for g.
-8, -3
Let l(o) be the first derivative of o**6/24 - 3*o**5/20 - 49*o**4/16 + 21*o**3/4 + 81*o**2 + 135*o - 1151. Let l(k) = 0. What is k?
-5, -3, -1, 6
Suppose 402 = 15*k - 11*k - 2*i, -3 = -3*i. Determine z so that -2883 - 275*z + 562*z - k*z - 3*z**2 = 0.
31
Let a(h) be the third derivative of 12*h + 1/672*h**8 + 11/240*h**6 + 1/60*h**7 + 0 + 1/24*h**5 + 0*h**4 - 10*h**2 + 0*h**3.