*4.
-4*f*(f - 2)*(f + 1)*(f + 2)
Determine u so that 0*u**3 - 12/7 + 2/7*u**5 - 8/7*u**4 + 20/7*u**2 - 2/7*u = 0.
-1, 1, 2, 3
What is p in 19*p**2 - 30*p**2 - 206 - 717*p + 8*p**2 + 7*p**2 + 10*p**2 = 0?
-2/7, 103/2
Let u(t) = 2*t - 34. Let q be u(19). Let a(r) = r**3 - 2*r**2 - 6*r - 2. Let k be a(q). Factor 3*f - 16*f**3 - k*f + 12*f**2 - 11 + 19*f + 4*f**4 - 5.
4*(f - 2)**2*(f - 1)*(f + 1)
Suppose -23*j + 27*j + 36 = 0. Let l be (-3)/j + (-55)/(-15). Factor -2*p**2 + 2*p**l + 0*p**4 + 29*p**3 + 2*p - 31*p**3.
2*p*(p - 1)**2*(p + 1)
Let m(n) be the second derivative of n**4/20 - 13*n**3/5 + 72*n**2/5 - 1877*n. Determine i so that m(i) = 0.
2, 24
Suppose o + 3*r = 304, 787 = 2*o + 3*r + 176. Let s = o - 302. Let -1 - s*i - 9/4*i**4 - 37/4*i**2 - 15/2*i**3 = 0. Calculate i.
-1, -2/3
Let x(m) be the second derivative of m**4/6 - 11*m**3/3 - 12*m**2 + 2*m - 3002. Factor x(r).
2*(r - 12)*(r + 1)
Factor -56*c**2 + 0*c + 38/3*c**3 + 1/3*c**4 + 0.
c**2*(c - 4)*(c + 42)/3
Let c be 415/(-332)*480/(-1275). Let 0*o - c - 2/17*o**3 + 2/17*o**5 + 14/17*o**2 - 6/17*o**4 = 0. Calculate o.
-1, 1, 2
Let s(r) = r**3 - r**2 - r. Suppose 0 = -0*u - 8*u + 16. Let f be s(u). Solve 0*m**3 + 129*m**2 - 133*m**2 + 0*m**3 - f*m**3 = 0.
-2, 0
Let c(i) be the first derivative of 2*i**3/27 - 128*i**2/3 + 766*i/9 - 3457. Let c(t) = 0. Calculate t.
1, 383
Factor 29/2*u**2 - 222 + 19*u**3 - 154*u + 1/2*u**4.
(u - 3)*(u + 2)**2*(u + 37)/2
Let k(j) = j**3 - j**2 - 13*j - 99. Let s be k(6). Factor 0 - 1/6*l**4 - 11/6*l**2 - 7/6*l**s - 5/6*l.
-l*(l + 1)**2*(l + 5)/6
Let s(i) be the first derivative of -16/15*i**3 + 16/5*i + 0*i**5 - 13/20*i**4 - 31 + 1/30*i**6 + 6/5*i**2. Determine x so that s(x) = 0.
-2, -1, 1, 4
Let z(c) be the third derivative of 0 + 0*c**4 + 0*c**3 + 73*c**2 + 1/15*c**5 + 0*c + 1/20*c**6 - 1/168*c**8 + 0*c**7. Let z(r) = 0. Calculate r.
-1, 0, 2
Let m(d) be the third derivative of d**5/300 + d**4/30 - d**3/6 - 10*d**2 + 4. Suppose m(b) = 0. Calculate b.
-5, 1
Let z(h) = -h**2 + 19*h + 8655. Let q be z(103). Factor 0 + 0*x**2 - 33/7*x**4 + 6/7*x**5 + 0*x + 15/7*x**q.
3*x**3*(x - 5)*(2*x - 1)/7
Suppose 0 = -5*d + 20 - 0. Factor -8*l + 3*l**d + 5*l**4 - 4*l**2 + 9*l**4 + 8*l**3 - 13*l**4.
4*l*(l - 1)*(l + 1)*(l + 2)
Let w(d) be the first derivative of -d**5/10 - d**4/3 + 8*d**3/3 - 212*d - 32. Let z(j) be the first derivative of w(j). Factor z(l).
-2*l*(l - 2)*(l + 4)
Let k(a) be the third derivative of a**7/42 + a**6/4 - 31*a**5/12 - 65*a**4/2 + 150*a**3 - 39*a**2 + 8*a. Suppose k(s) = 0. Calculate s.
-6, 1, 5
Let h(t) = -20*t**3 - 607*t**2 + 120007*t - 8000007. Let i(b) = -3*b**3 - b**2 + b - 1. Let s(a) = 3*h(a) - 21*i(a). Factor s(r).
3*(r - 200)**3
Let f(c) = 4*c**3 - 16*c**2 - 134*c + 52. Let k be f(8). Let b(v) be the third derivative of 0 + 1/34*v**k + 3*v**2 - 1/510*v**5 - 5/51*v**3 + 0*v. Factor b(g).
-2*(g - 5)*(g - 1)/17
Let v = 32184 - 289646/9. Let 0*k + 0 - 2/3*k**2 - v*k**4 - 16/9*k**3 = 0. Calculate k.
-1, -3/5, 0
Let t(n) = 8*n**4 - 16*n**3 - 152*n**2 - 423*n - 281. Let d(m) = m**4 - m**3 - 2*m**2 - m + 1. Let g(z) = -14*d(z) + 2*t(z). Factor g(v).
2*(v - 18)*(v + 1)*(v + 4)**2
Suppose -4*j + 5388 = -49*d + 46*d, 3587 = -2*d + j. Let b = 12548/7 + d. Factor -2/7*h - 10/7*h**2 + b - 4/7*h**3.
-2*(h + 1)*(h + 2)*(2*h - 1)/7
Let b(j) = 2*j**2 - 145*j + 74. Let l be b(72). Let x(u) be the third derivative of -22*u**l + 0*u**4 + 0*u - 1/5*u**5 + 0 + 0*u**3 + 1/30*u**6. Factor x(m).
4*m**2*(m - 3)
Let b(c) be the third derivative of -c**7/70 - 17*c**6/20 - 19*c**5/4 - 31*c**4/4 - 537*c**2. Suppose b(u) = 0. What is u?
-31, -2, -1, 0
Factor 207507/5 + 3/5*k**2 + 1578/5*k.
3*(k + 263)**2/5
Suppose -410 = 824*s - 3379 + 497. Suppose 1/4*v**4 + 0 - 2*v**3 - s*v + 19/4*v**2 = 0. What is v?
0, 1, 3, 4
Let p = 55 + -41. Factor 0 - 20*a**2 + 14 - p + 4*a**3.
4*a**2*(a - 5)
Suppose 11 - 41 = -3*o. Let l(a) = -41*a**2 + 26*a**2 + o + 22*a**2 + 4*a. Let v(d) = 15*d**2 + 8*d + 21. Let f(m) = -13*l(m) + 6*v(m). Factor f(k).
-(k + 2)**2
Find w, given that -2/9*w**2 - 274/9*w + 92/3 = 0.
-138, 1
Factor 1/6*t**2 + 130 - 59/6*t.
(t - 39)*(t - 20)/6
Let g = 150/16009 + 592033/32018. Factor -7/2*l**2 - 5 - g*l.
-(l + 5)*(7*l + 2)/2
Let x(g) be the second derivative of 117*g - 10/9*g**3 + 17/54*g**4 + 2/15*g**5 + 1/135*g**6 + 0 + 0*g**2. Let x(n) = 0. What is n?
-10, -3, 0, 1
Let f(p) be the second derivative of p**4/6 - 448*p**3/3 + 60*p + 12. Factor f(t).
2*t*(t - 448)
Let w(f) = f**3 - 9*f**2 + f - 7. Let a be w(9). Suppose 3*m - 2*k - 20 = 2, 0 = -a*k - 4. Suppose -3*b + m*b**2 + 7*b - 2*b**2 + 2*b**3 - 2*b = 0. What is b?
-1, 0
Factor -340*x + 25/3*x**2 + 800/3.
5*(x - 40)*(5*x - 4)/3
Let z be -5 + 60/18*3. What is o in 105*o**3 + 3*o**2 + 4*o**5 - 49*o**3 + z*o**2 - 68*o**3 = 0?
-2, 0, 1
Let c(r) be the second derivative of -r**5/30 + 79*r**4/6 - 4720*r**3/3 + 13924*r**2/3 - 22*r + 29. Factor c(i).
-2*(i - 118)**2*(i - 1)/3
Let r(k) = k**5 + k**4 - k**2 + k. Let z(d) = 8*d**5 - 300*d**4 + 1968*d**3 - 4004*d**2 + 3360*d - 1008. Let x(t) = 12*r(t) - z(t). Find v such that x(v) = 0.
-84, 1, 3
Factor 267*g**3 - 15*g**3 - 23650*g**2 + 312*g**3 - 99225 + 349*g**3 - 5*g**4 + 122220*g - 253*g**3.
-5*(g - 63)**2*(g - 5)*(g - 1)
Factor -2/7*q**2 + 68/7 + 66/7*q.
-2*(q - 34)*(q + 1)/7
Let g(v) be the second derivative of v**5/40 + 37*v**4/24 - 19*v**3/6 + 151*v. Factor g(k).
k*(k - 1)*(k + 38)/2
Let c(q) be the first derivative of 0*q - 1/12*q**5 - 3 - 1/72*q**6 + 0*q**4 - 1/3*q**3 + 0*q**2. Let n(k) be the third derivative of c(k). Factor n(p).
-5*p*(p + 2)
Let p = -9472 + 28657/3. Let m = -80 + p. What is y in -1/6*y**2 - 1/6*y + m = 0?
-2, 1
Let c(g) be the first derivative of -2*g**3/39 + 97*g**2/13 + 794. Find s, given that c(s) = 0.
0, 97
Suppose 92 = 4*x + 3*p, 0 = 2*x + 111*p - 107*p - 36. Let k(l) be the first derivative of 1/16*l**4 - 1/8*l**2 - 1/12*l**3 - x + 1/4*l. Factor k(f).
(f - 1)**2*(f + 1)/4
Let y(i) be the third derivative of -1/120*i**5 - 7*i**2 - 2*i + 0 - 1/3*i**3 - 1/12*i**4. Solve y(p) = 0.
-2
Let a = -4424 + 4427. Let j(n) = 4*n - 8. Let u be j(3). What is z in 0 + 2/7*z**a + 1/7*z**2 + 1/7*z**u + 0*z = 0?
-1, 0
Let s(b) = 7*b**2 - 1076*b - 2125. Let i(k) = -10*k**2 + 1614*k + 3191. Let y(c) = 5*i(c) + 7*s(c). Factor y(h).
-(h - 540)*(h + 2)
Let t be ((-770)/165)/(-7)*(-6)/(-2). Determine o so that -256/5 - 96*o - 1/5*o**4 - 193/5*o**t + 6*o**3 = 0.
-1, 16
Let p(z) be the first derivative of 11*z**6/6 - 10*z**5 - 3336. What is g in p(g) = 0?
0, 50/11
Let f(d) be the first derivative of 4*d**5 + 0*d - 4*d**2 - 2/3*d**6 - 9*d**4 + 54 + 28/3*d**3. Find q such that f(q) = 0.
0, 1, 2
Let o = -89 + 91. Determine p, given that -4*p**2 + 8*p**2 - 2 - p - 3*p**3 + 8*p - o*p = 0.
-1, 1/3, 2
Let g = 1143/1261 + -73/97. Factor 0*j - g*j**4 + 4/13*j**2 + 0 + 2/13*j**3.
-2*j**2*(j - 2)*(j + 1)/13
Let n(f) be the second derivative of 1/4*f**4 - 38*f + 0*f**3 + 39/2*f**2 + 0 + 3/20*f**5 + 1/40*f**6. Let r(j) be the first derivative of n(j). Factor r(w).
3*w*(w + 1)*(w + 2)
Factor -5440/3*c**2 - 5/3*c**4 - 325/3*c**3 + 0 - 5120/3*c.
-5*c*(c + 1)*(c + 32)**2/3
Let r = 368 + -359. Let h(k) = -4*k + 36. Let t be h(r). Factor t + 1/5*c**2 - 2/5*c + 1/5*c**3.
c*(c - 1)*(c + 2)/5
Let c(k) be the third derivative of k**7/525 - 83*k**6/300 - k**5/150 + 83*k**4/60 + 1804*k**2. Find r such that c(r) = 0.
-1, 0, 1, 83
Factor 1485125*k**2 + 99*k**4 + 5450*k**3 - 210*k**4 + 116*k**4.
5*k**2*(k + 545)**2
Let u(m) = -m**3 + 5*m**2 + 17*m - 17. Let t be u(7). Suppose 4*f - 5*y + t = -y, 3*f + y = 9. Let 3*k**2 - 3*k - 4*k**f - 3*k + 4*k = 0. What is k?
-2, 0
Suppose 1130 - 1598 - 2691 = -117*t. Factor -t - 9/4*u**2 - 1/8*u**3 - 27/2*u.
-(u + 6)**3/8
Suppose -1020097/5*b**2 + 8088/5*b**3 - 64009/5 - 511566/5*b - 16/5*b**4 = 0. What is b?
-1/4, 253
Suppose -14*t**2 + 232*t - 23 - 5*t**2 - 2*t**3 - 15*t**2 + 285 + 2 = 0. Calculate t.
-22, -1, 6
Let f(q) = q**3 - q - 2. Let k(y) = -9*y**3 - 25*y**2 - 37*y + 1. Let c be -1*-2*-3*(-5)/6. Let x(v) = c*f(v) + k(v). Factor x(r).
-(r + 3)**2*(4*r + 1)
Let j(o) be the third derivative of -9/2*o**5 - 125/2*o**3 + 25*o**4 - 1/70*o**7 + 0 + 17*o**2 + 2/5*o**6 + 0*o. Suppose j(q) = 0. Calculate q.
1, 5
Let z = -5804 + 5807. Let q(a) be th