+ 3) - 5. Let g(y) = 2*y - 2. Let w(d) = b*g(d) - 4*x(d). Factor w(k).
4*(k - 1)**2
Let d(x) be the second derivative of -20*x**4/21 + x**3 - 2*x**2/7 + 3*x + 19. Find f such that d(f) = 0.
1/8, 2/5
Suppose s = -s - 30. Let b = -11 - s. Factor -l**3 + l**5 - 3*l**2 + 4*l**2 - 4*l**4 + 3*l**b.
l**2*(l - 1)**2*(l + 1)
Let q(d) = 15*d - 12. Let p be q(1). Suppose -3*x + 3*u - p = -u, 24 = 4*x + 4*u. Factor -11/2*b**2 + 2 + 2*b + 9/2*b**4 - x*b**3.
(b - 1)**2*(3*b + 2)**2/2
Suppose -21710*a**2 - 114532*a**2 - 254361807 + 82492524 - 1044*a**3 + 6*a**4 - 7902036*a - 9*a**4 = 0. Calculate a.
-87
Suppose 3*p = 4*i + 80, -2*i - 3*p = 8 + 50. Let m be (-132)/9*(2 - i/(-10)). Factor -m*z - 4/5 - 18/5*z**2.
-2*(z + 1)*(9*z + 2)/5
Factor 8/5*s - 192/5 + 2/5*s**2.
2*(s - 8)*(s + 12)/5
Let w(a) be the third derivative of 1/1365*a**7 - 3*a**2 + 0 + 0*a**3 + 1/156*a**4 - 1/390*a**5 + 0*a - 1/780*a**6. Factor w(h).
2*h*(h - 1)**2*(h + 1)/13
Let j(f) = 15*f**4 + 198*f**3 + 45*f**2 - 126*f. Let h(r) = 31*r**4 + 397*r**3 + 88*r**2 - 252*r. Let p(d) = -6*h(d) + 13*j(d). Suppose p(q) = 0. Calculate q.
-21, -1, 0, 2/3
Let r be (3*2/(-8))/(78/(-520)). Suppose r*c + 4*y = 2*y + 17, -36 = -4*c + 4*y. Suppose -16*n**3 + 1 + 8*n**4 + 15*n**2 - 3/2*n**c - 13/2*n = 0. Calculate n.
1/3, 1, 2
Let d(b) be the third derivative of 0*b**3 + 0*b**5 + 0*b**4 + 0 + 2*b**2 - 1/300*b**6 + 0*b**7 + 0*b + 1/840*b**8. Factor d(s).
2*s**3*(s - 1)*(s + 1)/5
Let s(o) be the second derivative of o**6/6 - o**5 + 5*o**4/4 + 10*o**3/3 - 10*o**2 - 328*o. Factor s(l).
5*(l - 2)**2*(l - 1)*(l + 1)
Let h(b) be the third derivative of -b**5/360 + 31*b**4/72 - 961*b**3/36 + 2*b**2 - 11. Solve h(y) = 0 for y.
31
Let r(h) be the third derivative of h**9/100800 + h**8/16800 + 2*h**5/15 + 7*h**2. Let a(f) be the third derivative of r(f). Factor a(i).
3*i**2*(i + 2)/5
Let i = 6977 + -20924/3. Determine z, given that -1/3*z**3 + 0 + 0*z + 0*z**2 + i*z**4 = 0.
0, 1/7
Let z(u) be the third derivative of -u**7/1260 + u**6/180 - u**5/90 + 7*u**3/3 - 13*u**2. Let l(a) be the first derivative of z(a). Factor l(s).
-2*s*(s - 2)*(s - 1)/3
Let h(l) = 3*l**2 - 3*l. Let z be h(2). Let f = -2 + z. Factor 0*g**4 + 3*g**5 + g**f + 6*g**2 - 6*g**2.
g**4*(3*g + 1)
Let v(i) be the second derivative of i**4/66 + 5*i**3/11 + 4*i**2 + 137*i + 2. Factor v(t).
2*(t + 4)*(t + 11)/11
Let c be 3*6/54 - 15/99. Solve 2/11*a**4 + 2/11*a - 4/11*a**3 - 4/11*a**2 + 2/11*a**5 + c = 0.
-1, 1
Let d(h) be the third derivative of h**5/15 - 34*h**4/3 + 2312*h**3/3 + 156*h**2. Factor d(k).
4*(k - 34)**2
Let x(v) = 6*v**3 + 182*v**2 + 5042*v + 48778. Let z(p) = -11*p**3 - 362*p**2 - 10085*p - 97556. Let f(g) = 7*x(g) + 4*z(g). Determine m, given that f(m) = 0.
-29
Let a(l) be the first derivative of 2/3*l**2 + 7/45*l**6 + 7 - 8*l + 3/2*l**4 - 13/9*l**3 - 23/30*l**5. Let w(m) be the first derivative of a(m). Factor w(r).
2*(r - 1)**3*(7*r - 2)/3
Let i(a) be the second derivative of -a**4/126 + a**3/9 + 153*a. Solve i(n) = 0 for n.
0, 7
Suppose 5*y + 2*q - 8 = -0*q, y = 2*q + 4. Let x be 52/16 + (-4 + 0)/16. Factor y*i**5 + 0 - 4/3*i**x + 0*i**2 - 2/3*i**4 + 0*i.
2*i**3*(i - 1)*(3*i + 2)/3
Let v be (120/(-45))/((-8)/12). Determine h, given that -3/4*h**3 + 0*h**2 - 9/4*h**5 + 0 + 0*h + 3*h**v = 0.
0, 1/3, 1
Let b = 113328/7 - 16184. Find h such that -4/7*h**2 - b*h - 36/7 = 0.
-9, -1
Suppose 3*c - 6*c = -9. Let u = 342 + -340. Factor u*l + 6*l**3 - 4*l**c - 3*l**3 + l**2.
-l*(l - 2)*(l + 1)
Let s(n) be the first derivative of n**3/6 + 3*n**2/2 - 7*n/2 - 379. Determine i so that s(i) = 0.
-7, 1
Suppose -t = -3*v + 5, 3*t = 4*v - 16 + 11. Let o(s) be the second derivative of 0 - 1/3*s**4 - v*s**3 - 4*s - 4*s**2. Suppose o(r) = 0. Calculate r.
-2, -1
Let j = -1431/2 - -666. Let p = -49 - j. Find u, given that -u**2 + 1/2*u**5 - 3/2*u + 3/2*u**4 - p + u**3 = 0.
-1, 1
Determine o so that 2/9 - 58/9*o + 56/9*o**2 = 0.
1/28, 1
Suppose 8/3*o**2 + 0*o + 0 + 24*o**3 + 54*o**4 = 0. What is o?
-2/9, 0
Let j(a) be the first derivative of -a**3/9 + 17*a**2/6 - 16*a/3 - 24. Factor j(m).
-(m - 16)*(m - 1)/3
Find c, given that -912/5*c + 288/5 + 146/5*c**2 - 6/5*c**3 = 0.
1/3, 12
Let s(m) be the first derivative of 0*m**4 + 3 + 2*m - 1/20*m**5 + 0*m**2 + 0*m**3. Let p(h) be the first derivative of s(h). Suppose p(g) = 0. Calculate g.
0
Factor 10/3*n**2 - 17/3*n + 8/3 - 1/3*n**3.
-(n - 8)*(n - 1)**2/3
Let t(b) be the second derivative of -5*b**7/42 - b**6/3 - b**5/4 - 40*b + 1. Solve t(w) = 0 for w.
-1, 0
Let d(j) be the second derivative of j**7/180 - j**6/40 + j**5/30 - 3*j**4/2 + 2*j. Let p(z) be the third derivative of d(z). Find m, given that p(m) = 0.
2/7, 1
Let 11/3*i**2 + 5*i + 4/3 = 0. What is i?
-1, -4/11
Let d(b) be the second derivative of -b**6/10 - 89*b**5/10 + 76*b**4/3 - 31*b**3/3 - 61*b**2/2 - 426*b. Determine o so that d(o) = 0.
-61, -1/3, 1
Let s(y) = 3*y**2 + 3 - 5*y - 6*y**2 - 5*y**2 + 19*y**2. Let g(h) = -66*h**2 + 29*h - 17. Let n(m) = 6*g(m) + 34*s(m). Let n(x) = 0. Calculate x.
0, 2/11
Let t(c) be the second derivative of -3721*c**5/5 - 244*c**4/3 - 8*c**3/3 + 81*c. Factor t(k).
-4*k*(61*k + 2)**2
Let s(r) be the third derivative of r**5/80 - 2*r**4 + 128*r**3 + r**2 - 7*r. Let s(v) = 0. Calculate v.
32
Let c(n) be the second derivative of 2*n**7/21 + 4*n**6/15 - 12*n**5/5 + 14*n**4/3 - 10*n**3/3 - 21*n. Factor c(h).
4*h*(h - 1)**3*(h + 5)
Let z(v) be the third derivative of -v**7/630 - v**6/60 - v**5/15 - v**4/9 + 3*v**2 - 7*v. Factor z(r).
-r*(r + 2)**3/3
Factor -290*y**5 - 83*y**2 + 30*y**4 - 75*y + 72*y**3 + 53*y**2 + 293*y**5.
3*y*(y - 1)*(y + 1)*(y + 5)**2
Suppose 7*d + 3*d = 0. Let b(n) be the second derivative of d*n**3 - 1/4*n**4 + 3/2*n**2 + 5*n + 0. Factor b(u).
-3*(u - 1)*(u + 1)
Let i(s) be the first derivative of s**6/30 + 2*s**5/5 - 23*s**4/20 + 4*s**3/5 + 349. Find o, given that i(o) = 0.
-12, 0, 1
Factor 21*f**2 - 4*f**4 - 35*f + 21 - 5 + 8*f**3 + 0 + 3*f - 9*f**2.
-4*(f - 2)*(f - 1)**2*(f + 2)
Factor 4*g + 2*g**2 - 8/3*g**3 - 10/3.
-2*(g - 1)**2*(4*g + 5)/3
Let j(i) be the third derivative of 0 + 1/108*i**4 - 18*i**2 + 0*i - 1/135*i**5 - 1/540*i**6 + 2/27*i**3. Factor j(o).
-2*(o - 1)*(o + 1)*(o + 2)/9
Let c(l) be the first derivative of 19 - 1/6*l**3 - 9/2*l - 3/2*l**2. What is t in c(t) = 0?
-3
Let h(b) = 8*b + 0*b - 9*b - 87 - 2*b. Let a be h(-30). Find f, given that 0*f + 0*f**2 + 0 + 1/5*f**a + 1/5*f**5 + 2/5*f**4 = 0.
-1, 0
Let j(i) be the first derivative of i + i**3 - 2 - 3/2*i**2 - 1/4*i**4. Factor j(u).
-(u - 1)**3
Let x(s) be the first derivative of s**3/24 - 5*s**2/8 + 9*s/8 + 89. Solve x(h) = 0 for h.
1, 9
Let a(t) be the third derivative of -t**9/7560 - 23*t**3/6 + 40*t**2. Let i(x) be the first derivative of a(x). Factor i(u).
-2*u**5/5
Suppose 117*k - 113*k = 96. Suppose 5*q - 12 = -2*x, 0 = q - 10*x + 5*x - k. Suppose -15/2*l + 49/8*l**5 + 59/4*l**2 + 1 - 63/4*l**q + 11/8*l**3 = 0. What is l?
-1, 2/7, 1, 2
Suppose -3*n = 5*p - 38, 0 = -n - 4*p - 0 + 1. Suppose -4*b + 2*b = k - 11, 3*b - n = 3*k. Solve -4*g + 2*g**2 + 8 - b + 0*g = 0.
1
Let k(i) = 9*i - 23*i + 3*i**2 - 2*i**2 - 3*i**2 - 8. Let a be k(-6). Factor -4*d**3 - 8*d**2 - 90*d + 90*d + a*d**4.
4*d**2*(d - 2)*(d + 1)
Find d such that -9/2*d**3 - 2*d - 5*d**2 + 0 - 7/4*d**4 - 1/4*d**5 = 0.
-2, -1, 0
Suppose 246*z - 14 = 239*z. Suppose -8/9 + 8/9*i - 2/9*i**z = 0. What is i?
2
Suppose -2*y - 6 = -k, -3*k - 3 = -0*y + y. Let x be 1 - k - 1 - -4. Factor -u - 6*u - u**2 + x*u - 2*u**2.
-3*u*(u + 1)
Let c = -318 + 87. Let o = c + 1161/5. Factor 0 - o*h**2 + 4/5*h.
-2*h*(3*h - 2)/5
Let b be -2 + 7 - 923/195. Factor 2/3*w**3 - 6/5*w**2 - b - 2/15*w**4 + 14/15*w.
-2*(w - 2)*(w - 1)**3/15
Let h = -57 - -58. Let j be (h - 3)/(1 + 0 + -2). Determine v so that -6/7*v**2 - 2*v**3 + j*v + 10/7*v**4 - 4/7 = 0.
-1, 2/5, 1
Factor -15*c**3 - 8/3 + 52/3*c - 62/3*c**2.
-(c + 2)*(5*c - 2)*(9*c - 2)/3
Let g(w) be the third derivative of 1/840*w**8 + 0*w**4 - 2/525*w**7 + 0*w**3 + 21*w**2 + 1/300*w**6 + 0*w + 0 + 0*w**5. Determine k so that g(k) = 0.
0, 1
Let b be 12/8*2/4*4. Factor -427*m**4 + 3*m**5 + 4*m**2 - b*m**3 - 4*m**5 + 423*m**4 + 4*m.
-m*(m - 1)*(m + 1)*(m + 2)**2
Let y(n) be the first derivative of -8/9*n + 1/3*n**2 + 6 + 2/27*n**3. Factor y(r).
2*(r - 1)