 given that 161 - 7138517*p + 7137299*p - 26*p**2 + 27 = 0.
-47, 2/13
Find u, given that -120132/7*u**2 - 59643/7*u - 61338/7*u**3 - 852/7*u**4 - 3/7*u**5 + 0 = 0.
-141, -1, 0
Let o(k) be the second derivative of -k**6/900 + 2*k**5/75 + 3*k**4/20 - 5*k**3/6 + k**2 - 15*k. Let h(f) be the second derivative of o(f). Factor h(z).
-2*(z - 9)*(z + 1)/5
Suppose p + 438 = -19*j + 16*j, 0 = 5*p - 2*j + 2275. Let r = 453 + p. Factor r*z + 2/7*z**2 - 8/7.
2*(z - 2)*(z + 2)/7
Let b(a) = -a**2 + 42*a + 91. Let y be b(44). Determine m, given that -42/11*m**2 + 16/11*m**y - 2/11*m**4 + 0 + 36/11*m = 0.
0, 2, 3
Let j(m) be the third derivative of -5*m**8/4032 + m**7/1008 + m**5/15 - 33*m**2. Let n(y) be the third derivative of j(y). Solve n(f) = 0 for f.
0, 1/5
Let -135*l**2 - 290*l**2 + 17*l**3 + 5 - 20 + 88*l**3 + 440*l - 5 = 0. What is l?
1/21, 2
Let j(d) be the third derivative of -d**8/10080 + d**7/840 - d**6/240 + d**5/180 + 74*d**3/3 + 30*d**2. Let a(p) be the first derivative of j(p). Factor a(z).
-z*(z - 4)*(z - 1)**2/6
Let j(d) = d**3 + 111*d**2 + 786*d + 1694. Let q(u) = 4*u**3 + 332*u**2 + 2356*u + 5084. Let m(p) = -8*j(p) + 3*q(p). Factor m(a).
4*(a + 5)**2*(a + 17)
Let m be 3 + 124/28 + -7 + (-178)/(-42). Factor 0*y + 2/3*y**3 - m*y**2 + 0.
2*y**2*(y - 7)/3
Let d(f) = -f**3 + 2*f**2 - 2*f + 1. Let u(j) = -2*j**4 + 6*j**3 + 36*j**2 + 52*j - 2. Let o(r) = 2*d(r) + u(r). Factor o(l).
-2*l*(l - 6)*(l + 2)**2
Let z be -22*((25/5 - 1) + -1). Let x = z + 133/2. Factor -x*a - 1/4 - 1/4*a**2.
-(a + 1)**2/4
Factor 91763*m + 881*m**2 + 101836*m - 12650 - 181831 + m**3.
(m - 1)*(m + 441)**2
Let u(z) be the third derivative of z**6/40 + 7*z**5/5 + 25*z**4/8 - 27*z**3 + 128*z**2 + 1. Factor u(b).
3*(b - 1)*(b + 2)*(b + 27)
Determine m, given that -2032*m**2 - 500*m**3 - 23231*m**5 + 50*m**4 + 1800 + 23236*m**5 + 182*m**2 + 495*m = 0.
-15, -3, -1, 1, 8
Let k(d) = -17*d**2 - 23*d + 306. Let l(p) = -47*p**2 - 68*p + 916. Let a(o) = 8*k(o) - 3*l(o). Factor a(y).
5*(y - 6)*(y + 10)
Let t(m) be the first derivative of -m**8/105 - 2*m**7/105 - m**6/150 - m**2/2 - 64*m - 27. Let v(k) be the second derivative of t(k). Factor v(u).
-4*u**3*(u + 1)*(4*u + 1)/5
Let k(p) = 9*p**4 - 114*p**3 - 132*p**2 - 261*p + 21. Let t(m) = 2*m**4 - 26*m**3 - 33*m**2 - 65*m + 5. Let n(f) = 5*k(f) - 21*t(f). Factor n(o).
3*o*(o - 5)*(o - 4)*(o + 1)
Let w(n) be the second derivative of 7/96*n**4 + 9/16*n**2 - 5/16*n**3 - 11 + 2*n - 1/160*n**5. Factor w(o).
-(o - 3)**2*(o - 1)/8
Let g be ((-90)/(-8))/3 - 55195/15770. Let g*w**2 - 10*w + 100 = 0. Calculate w.
20
Let i be (8/(-238))/(230/345*(-6)/14). Factor -4/17 - 10/17*z - i*z**3 - 8/17*z**2.
-2*(z + 1)**2*(z + 2)/17
Factor 72*s + 85 - 3*s**2 - 176 - 98.
-3*(s - 21)*(s - 3)
Factor -1/5*b**4 + 1/5*b**2 - 211/5*b + 211/5*b**3 + 0.
-b*(b - 211)*(b - 1)*(b + 1)/5
Let c(k) be the second derivative of -k**5/80 - 49*k**4/48 - 2*k**3 + 370*k. Factor c(a).
-a*(a + 1)*(a + 48)/4
Let m(x) be the first derivative of 9*x**5/5 - 7*x**4/4 - 11*x**3/3 + 7*x**2/2 + 2*x - 935. Find p such that m(p) = 0.
-1, -2/9, 1
Let g be (-4)/(-6) + 10/(-6)*236/944. Let a(o) be the first derivative of 0*o - 10/3*o**3 - 25/2*o**2 - g*o**4 - 11. Factor a(c).
-c*(c + 5)**2
Let k(r) be the third derivative of r**8/2520 + r**7/420 - r**5/45 - 11*r**3/6 - 14*r**2. Let x(g) be the first derivative of k(g). Factor x(j).
2*j*(j - 1)*(j + 2)**2/3
Let l(k) be the second derivative of k**5/10 + 23*k**4/30 + k**3/5 - 63*k**2/5 - 2*k + 173. Factor l(s).
2*(s + 3)**2*(5*s - 7)/5
Let n(i) = 31*i**3 - 1555*i**2 + 1169*i + 51. Let o(c) = 10*c**3 - 518*c**2 + 390*c + 18. Let b(l) = -6*n(l) + 17*o(l). Factor b(w).
-4*w*(w - 32)*(4*w - 3)
Let t(l) = 17*l**4 + 8*l**3 - 6*l**2 + l - 1. Suppose 2*w = -5*w + 42. Let v(u) = w - 3 - u**4 - 2 - u**2. Let p(m) = 2*t(m) + 2*v(m). Factor p(d).
2*d*(d + 1)*(4*d - 1)**2
Let n(o) be the third derivative of o**5/60 + 587*o**4/24 - 3883*o**2. Determine w so that n(w) = 0.
-587, 0
Suppose 0 = -2003*g + 2015*g - 24. Let d be (-8)/(-20) - (-88)/30. Solve -d*h - 8/3 - 2/3*h**g = 0 for h.
-4, -1
Let x(t) be the first derivative of t**5/120 + 5*t**4/72 + 2*t**3/9 + t**2/3 + 238*t - 4. Let h(z) be the first derivative of x(z). Suppose h(n) = 0. What is n?
-2, -1
Let n(r) be the second derivative of r**4/42 - 3484*r**3/21 + 3034564*r**2/7 - 102*r + 30. What is b in n(b) = 0?
1742
Suppose 5*x + y - 117 - 1 = 0, 0 = 5*x + 2*y - 116. Suppose -103*d = -87*d - 32. Factor 16*k**4 + 7*k**2 - 3*k**5 - 4*k - x*k**3 - k**5 + 9*k**d.
-4*k*(k - 1)**4
Suppose -l - 2 = 0, -v = 3*v + 3*l - 1030. Let a be 1/((-14)/(-4)*37/v). Solve -2/3*w**5 - 2/3*w**a + 2/3*w**4 + 0 + 0*w + 2/3*w**3 = 0.
-1, 0, 1
Let n be (-350)/(-420)*21/(-14)*4/(-30). Factor -n*o**2 - 1 + 5/6*o.
-(o - 3)*(o - 2)/6
Let g(q) = -q**2 - q - 3. Let b(a) = -19*a**2 - 35*a - 76. Let i(y) = b(y) - 20*g(y). Factor i(x).
(x - 16)*(x + 1)
Factor 172*u - 185 - 6*u**2 - 16*u**2 + 18*u + 23*u**2 - 6.
(u - 1)*(u + 191)
Let s(j) be the first derivative of j**5/150 - j**4/30 - 2*j**3/9 + 58*j + 28. Let i(m) be the first derivative of s(m). Factor i(h).
2*h*(h - 5)*(h + 2)/15
Let g(o) be the second derivative of -o**6/10 - 3*o**5 - 27*o**4/2 - 26*o**3 - 51*o**2/2 - 1486*o. Factor g(z).
-3*(z + 1)**3*(z + 17)
Factor -15000 + 3*l**3 + 1665*l + 294*l**2 + 1615*l + 3620*l.
3*(l - 2)*(l + 50)**2
Let g be 8 + -12 - (-168)/27. Let d be 2*88/(-330)*10/(-8). Solve -2/3 - d*l**2 + g*l = 0 for l.
1/3, 3
Factor 6*l**3 - 49 - 371 + 29132*l + 9*l**3 - 28732*l + 335*l**2.
5*(l + 2)*(l + 21)*(3*l - 2)
Let l(g) be the first derivative of g**6/21 + 26*g**5/35 + 33*g**4/14 + 62*g**3/21 + 10*g**2/7 + 1610. Find q such that l(q) = 0.
-10, -1, 0
Suppose 4*u = b + 84, -7*b = -12*b + 2*u - 402. Let l be 7/6 - (b/96)/5. Determine r, given that -2*r**3 + 0 - 1/3*r**5 - l*r**4 - 4/3*r**2 - 1/3*r = 0.
-1, 0
Suppose 212*d**2 - 216*d - 13432*d**3 - 13428*d**3 + 26864*d**3 = 0. Calculate d.
-54, 0, 1
Let m(s) be the second derivative of -s**7/42 + s**6/2 + 53*s**5/20 + 7*s**4/4 - 26*s**3/3 - 18*s**2 - 6909*s. Solve m(w) = 0.
-2, -1, 1, 18
Let b(y) = 605*y - 1205. Let c be b(2). Let x(a) be the third derivative of 17*a**2 + 1/9*a**4 + 0*a + 0 + 7/90*a**c + 0*a**3 + 1/60*a**6. Factor x(k).
2*k*(k + 1)*(3*k + 4)/3
Suppose -2*c - 5*v = 16, 1134*c - 4*v - 14 = 1135*c. Factor -3/2*x**4 + 96 + 33/2*x**3 + 24*x - 54*x**c.
-3*(x - 4)**3*(x + 1)/2
Let r(k) be the third derivative of -k**5/270 + k**4/2 - 27*k**3 + 349*k**2 + k + 1. Find p, given that r(p) = 0.
27
Let z(i) = 15*i**2 + 6*i + 6. Let y be z(-3). Suppose 0*k - p - 11 = -3*k, -4 = 2*p. Factor b**2 - y*b - k + 60*b + 61*b.
(b - 3)*(b + 1)
Let a = 525 + -422. Let z = 106 - a. Find f such that 0 + 6/11*f**5 + 0*f**2 + 10/11*f**4 + 0*f + 4/11*f**z = 0.
-1, -2/3, 0
Let x be (-2)/(-2) - (-95 - -94). Suppose 0 = b - 5*a - 12, -2*b - a + 2 = -0. Solve 4*c**3 - 8/5*c**b + 4/5 + 4/5*c**4 - x*c - 2*c**5 = 0.
-1, 2/5, 1
Let i = -75 - -77. Find z such that -z**2 - z**2 + 3*z**2 + 0*z**3 - 2*z**i + z**3 - 4*z + 4 = 0.
-2, 1, 2
Let s(q) be the first derivative of 5*q**3/3 + 6605*q**2 - 13215*q - 11646. Factor s(y).
5*(y - 1)*(y + 2643)
Let q(x) be the third derivative of -x**8/448 + 143*x**7/280 + 183*x**6/40 + 59*x**5/4 + 37*x**4/2 + 54*x**2 + 17. Let q(w) = 0. Calculate w.
-2, -1, 0, 148
Factor -23664*y**3 + 116*y - 2/7 - 81602/7*y**2 - 83232/7*y**4.
-2*(y + 1)**2*(204*y - 1)**2/7
Let l = -21691 - -21691. Suppose -1/8*j**4 - 1/8*j**3 + 0*j + 1/4*j**2 + l = 0. Calculate j.
-2, 0, 1
Suppose w + 3*b + 8 + 2 = 0, -3*b - 12 = 0. Suppose -c**2 - w*c**2 - c**2 + 6*c**2 + 6*c**5 + 10*c**3 + 14*c**4 = 0. What is c?
-1, -1/3, 0
Let b(n) = 12*n + 124. Let m be b(-6). Let j = 61 - m. What is l in 0 + 18*l**3 - 15*l**2 - j*l**4 + 9/2*l + 3/2*l**5 = 0?
0, 1, 3
Let v(z) be the first derivative of -z**9/756 - z**8/140 + 3*z**7/70 - z**6/18 + 233*z**3/3 + 39. Let y(d) be the third derivative of v(d). Factor y(o).
-4*o**2*(o - 1)**2*(o + 5)
Let m = 22165/12 + -1847. Let y(n) be the first derivative of 4 - m*n**3 + 0*n + 1/8*n**2. Factor y(p).
-p*(p - 1)/4
Solve -20181/5 - 1581/5*j + 33*j**2 - 3/5*j**3 = 0.
-7, 31
Suppose 90*k + 390 = 96*k. Determine u, given that 57*u + k*u - 131*u + 3*u**2 = 0.
0, 3
Let m = -640518 - -5124183/8. F