**2
Let y(u) = 0 + 12155*u**2 - 6065*u**2 - 26*u - 6076*u**2 + 4. Suppose 2*q + 5 = q. Let i(n) = -9*n**2 + 17*n - 3. Let z(b) = q*y(b) - 8*i(b). Factor z(k).
2*(k - 2)*(k - 1)
Suppose -2*k - 2*k - 4*n + 20 = 0, -2*n = 4*k - 22. Let p = 117 + -114. Solve 2*b**2 + 5*b**2 - 5*b**2 + k*b**p - 4*b**3 = 0.
-1, 0
Let b(h) be the first derivative of -h**4/8 - 9*h**3/4 - 46*h + 90. Let o(l) be the first derivative of b(l). Factor o(x).
-3*x*(x + 9)/2
Let k(s) be the second derivative of s**6/6 + 43*s**5/4 + 635*s**4/4 - 10235*s**3/6 - 13225*s**2 + 111*s + 3. Suppose k(t) = 0. Calculate t.
-23, -2, 5
Suppose 3620/7*v - 1638050/7 - 2/7*v**2 = 0. Calculate v.
905
Let z be 3*8/9*(-4 + 1). Let p(k) = -6*k - 48. Let b be p(z). Factor 0*q**2 + b + 0*q - 1/6*q**3.
-q**3/6
Factor -1/2*m**4 + 25*m + 12 + 0*m**3 + 27/2*m**2.
-(m - 6)*(m + 1)**2*(m + 4)/2
Solve 33*u**5 + 104*u**4 - 258*u**3 + 197*u**2 - 58*u**3 + 187*u**2 - 144*u - 45*u**5 = 0.
0, 2/3, 2, 3
Let r = 3535 - 3535. Let d(c) be the first derivative of -18 + 1/25*c**5 + r*c + 1/10*c**4 + 0*c**2 + 1/15*c**3. Factor d(q).
q**2*(q + 1)**2/5
Factor 0 - 2/13*h**3 + 32/13*h**2 - 56/13*h.
-2*h*(h - 14)*(h - 2)/13
Let l(g) be the second derivative of g**6/60 - 21*g**5/20 + 27*g**4/8 - 10*g**3/3 - 6*g - 50. Factor l(h).
h*(h - 40)*(h - 1)**2/2
Let j be (3190/308 + -10)/((-1)/(-14)*4). Suppose j*h**2 - 15/4 + 5/2*h = 0. What is h?
-3, 1
Determine b so that -128 + 342*b + b**2 - 9*b**2 - 346*b - 256*b = 0.
-32, -1/2
Let 384 + 2/3*k**5 + 64/3*k**3 + 704*k + 1064/3*k**2 - 38/3*k**4 = 0. What is k?
-2, -1, 12
Suppose -4/5*p**3 + 4/5*p**5 + 0*p + 0 - 16/5*p**2 + 16/5*p**4 = 0. What is p?
-4, -1, 0, 1
Let b(f) be the third derivative of -f**7/350 - f**6/120 + 17*f**5/300 + 13*f**4/120 - f**3/5 - 218*f**2. Determine z so that b(z) = 0.
-3, -1, 1/3, 2
Let z be 106*(-53)/10 - 5. Let i = -566 - z. Suppose i*g**2 + 2/5 + g + 1/5*g**3 = 0. What is g?
-2, -1
Suppose 0 = 5*n - 1 - 9. Suppose -2*u = n*l + l - 12, -5*l = -3*u - 20. Let -29*m - 8 - 4*m**l + 17*m - 8*m**5 + 8*m + 28*m**2 + 28*m**3 = 0. What is m?
-1, 1/2, 2
Let d(r) be the second derivative of 2*r**6/15 - 88*r**5/5 + 752*r**4 - 28160*r**3/3 + 51200*r**2 - 110*r. Find x such that d(x) = 0.
4, 40
Suppose 3*y - 5*q = 23 + 7, 5*y - 2*q - 31 = 0. Suppose -21 = 2*d - y*d. Determine h, given that 2*h**3 + 10*h**2 - 3*h - 4*h + 2*h - d*h**3 = 0.
0, 1
Suppose 13*g = -16*g + 7047. Determine s, given that -218*s - 40*s**2 + 15*s**3 + g*s + 1 - 1 = 0.
0, 1, 5/3
Let l(g) be the second derivative of g**6/6 - 9*g**5/2 + 445*g**4/12 - 60*g**3 + 15*g - 38. Determine f, given that l(f) = 0.
0, 1, 8, 9
Let k(n) = -n**3 - n**2 - 6*n. Let m(v) = -20*v**2 + 184*v. Let p(x) = 4*k(x) + m(x). Factor p(a).
-4*a*(a - 4)*(a + 10)
Suppose -3156*c + 2771*c + 13 + 383 = -374. Find h such that 2/5*h**c - 42/5 - 8/5*h = 0.
-3, 7
Let l(g) be the third derivative of g**8/2240 + g**7/105 + 5*g**4/24 + 44*g**2. Let x(j) be the second derivative of l(j). Determine p so that x(p) = 0.
-8, 0
Let u(l) be the second derivative of -10*l**7/21 - 37*l**6/30 + 3*l**5/10 + 10*l**4/3 + 7*l**3/3 - 3*l**2/2 - 1229*l. Find b such that u(b) = 0.
-1, 3/20, 1
Let q(s) be the third derivative of 1/2*s**3 - 1/300*s**5 + 7/60*s**4 + 100*s**2 + 0 + 0*s. Find h such that q(h) = 0.
-1, 15
Suppose 95*t - 56*t = 76284. Suppose -8*b + 1980 = t. Factor 2/11 + 2/11*n - 2/11*n**b - 2/11*n**2.
-2*(n - 1)*(n + 1)**2/11
Suppose 0 + 4*s**2 + 2/7*s**4 + 160/7*s - 22/7*s**3 = 0. What is s?
-2, 0, 5, 8
Let n(b) be the second derivative of -87/2*b**5 + 0 - 5/14*b**7 + 315/2*b**4 + 405/2*b**2 + 37/6*b**6 + 82*b - 585/2*b**3. Determine l, given that n(l) = 0.
1/3, 3
Let n be 1/(-3) + (-3)/((-3150)/353). Let h(x) be the third derivative of 0*x - 1/20*x**4 - 10*x**2 + 0 - n*x**7 - 1/50*x**6 - 1/20*x**5 + 0*x**3. Factor h(y).
-3*y*(y + 1)**2*(y + 2)/5
Let u = 20443 + -20441. Determine d so that 9075/2 + 165*d + 3/2*d**u = 0.
-55
Let j(w) = -14*w**2 + w + 2. Let r(p) = -89*p**2 + 106*p + 1132. Let g(c) = -6*j(c) + r(c). Let g(u) = 0. Calculate u.
-8, 28
Let x = 573 - 573. Let p(h) be the third derivative of -9*h**2 + x*h + 1/12*h**5 - 10/3*h**3 + 0 - 5/6*h**4 + 1/24*h**6. Suppose p(c) = 0. What is c?
-2, -1, 2
Let x(p) be the third derivative of -p**6/150 - 49*p**5/75 + 2793*p**2. Factor x(i).
-4*i**2*(i + 49)/5
Suppose 3*s = 3*c - 3, -4*c - 5*s = -4 - 9. What is f in 21*f + 3 - 7*f + c*f + 27 + 2*f**2 = 0?
-5, -3
Let c(r) be the second derivative of -r**5/5 + 6*r**3 - 1819*r. Factor c(y).
-4*y*(y - 3)*(y + 3)
Let h = -3846 - -3849. Suppose -2*q = -1 - 5. Find u, given that 28*u - u**2 - 2*u**2 + q*u**h - 40*u + 12 = 0.
-2, 1, 2
Let l(d) be the second derivative of -37*d**5/150 + 73*d**4/30 + 8*d**3/15 + 9*d**2/2 - 190*d. Let m(o) be the first derivative of l(o). Factor m(u).
-2*(u - 4)*(37*u + 2)/5
Let x be (7 + 62/(-8))*-4. Let 9*n + 42 + 39 - x*n**2 - 121 + 34 = 0. Calculate n.
1, 2
Let v(z) = 3*z - 7. Let s be v(3). Factor -13*h**2 - 12*h**s + 24*h**2 + h.
-h*(h - 1)
Factor -1269/4*j + 39/4*j**2 - 297/2.
3*(j - 33)*(13*j + 6)/4
Find c, given that -1/7*c**2 - 162/7*c - 155 = 0.
-155, -7
Let i(v) be the first derivative of v**6/2520 - 17*v**5/840 + v**4/4 - 2*v**3 + 8*v - 266. Let t(m) be the third derivative of i(m). Factor t(g).
(g - 14)*(g - 3)/7
Let p = 2390384/9 + -265598. Factor -16/9 + 4/3*g**2 - 10/9*g**3 + 8/9*g + p*g**4.
2*(g - 2)**3*(g + 1)/9
Let n(x) be the second derivative of -2/15*x**6 + 0*x**2 + 0 + 0*x**4 + 40*x + 0*x**3 - 8/105*x**7 + 6/25*x**5. What is j in n(j) = 0?
-2, 0, 3/4
Factor 0*i + 26/15*i**4 + 0 - 46/15*i**3 + 22/15*i**2 - 2/15*i**5.
-2*i**2*(i - 11)*(i - 1)**2/15
Let i = 38327/124 - 1266/31. Let g = -268 + i. Solve -g*w**2 + w - 1 = 0 for w.
2
Let -4/5*c**2 + 268 + 248/5*c = 0. Calculate c.
-5, 67
Let s(h) be the third derivative of -4*h + 0 + 1/660*h**6 + 1/33*h**3 - 6*h**2 - 1/330*h**5 - 1/132*h**4. Factor s(n).
2*(n - 1)**2*(n + 1)/11
Let m(q) = 137*q - 406. Let g be m(3). Let j(o) be the first derivative of -2/5*o**g + 4/3*o**3 + 0*o**2 + 4 - 1/2*o**4 + 0*o. Factor j(v).
-2*v**2*(v - 1)*(v + 2)
Let m(j) be the first derivative of -24/5*j**5 + 1 + 0*j**2 - 5*j**4 + 0*j + 6*j**6 + 8/3*j**3. What is g in m(g) = 0?
-2/3, 0, 1/3, 1
Let d be (6/8)/((-40)/(-1120)). Let b be d/2 + 62/372. Find s, given that -16/3*s**2 + b*s + 0 + 2/3*s**3 = 0.
0, 4
Let n(p) be the second derivative of -p**7/3780 + p**6/540 - p**5/180 + p**4/108 + 56*p**3/3 + 5*p + 17. Let t(g) be the second derivative of n(g). Factor t(l).
-2*(l - 1)**3/9
Suppose -3*t + 3*i + 21 = 0, 0 = 3*t + 16*i - 15*i - 25. Determine m, given that 25*m**2 + 12*m**2 - 3*m**3 + t*m**2 - 63*m**2 - 24 - 36*m = 0.
-2
Suppose -22*d + 5 + 10 = -51. Let q(a) be the second derivative of -9/4*a**4 - 3/20*a**5 + 0 - 6*a**2 + 1/10*a**6 - 19*a - 11/2*a**d. Let q(l) = 0. Calculate l.
-1, 4
Let n(c) be the third derivative of -c**7/21 - 17*c**6/10 - 1381*c**5/150 + 1037*c**4/5 - 14884*c**3/15 + 324*c**2 - 4. Factor n(d).
-2*(d - 2)**2*(5*d + 61)**2/5
Suppose 31968/17*p - 72368/17*p**3 + 20826/17*p**4 + 45744/17*p**2 - 162/17*p**5 + 4000/17 = 0. What is p?
-2/9, 2, 125
Let b = -1054743 + 1054746. Find g such that 8*g**2 + 2/3*g**b + 0 + 24*g = 0.
-6, 0
Let t be (8/(-10))/(4/490). Let d be (-98)/(-343)*t/(-30). Factor -d + 2/15*m**2 + 4/5*m.
2*(m - 1)*(m + 7)/15
Let a(j) be the third derivative of -1/30*j**4 + 0*j**3 + 1/60*j**5 - 2*j**2 + 4*j - 1/600*j**6 + 0. Factor a(b).
-b*(b - 4)*(b - 1)/5
Let k be -6 + (8 - 18 - -19). Suppose 3*s - 7*i = -2*i + 7, -5*s + 33 = -3*i. Factor -4*u**2 - 5*u + s*u + u - 2 + u**k.
(u - 2)*(u - 1)**2
Let o(t) = -6*t**3 + 73*t**2 - 502*t - 574. Let k(g) = -4*g**3 + 36*g**2 - 252*g - 288. Let z(s) = -7*k(s) + 4*o(s). Factor z(i).
4*(i - 5)*(i + 1)*(i + 14)
Let c(y) be the second derivative of 4/21*y**3 - 1/28*y**4 + 2/7*y**2 - 48*y + 0 - 9/140*y**5. Factor c(m).
-(m - 1)*(3*m + 2)**2/7
Factor -968/3 + 488/3*d - 2/3*d**2.
-2*(d - 242)*(d - 2)/3
Factor 7*t**2 + 795*t - 10*t**2 + 4*t**2 + 70 + 0*t**2 - 1664.
(t - 2)*(t + 797)
Let z be (6/9)/((-6)/9) + -584. Let i = -581 - z. Factor -8/3*t**3 + 22/3*t**2 - i*t + 0 - 2/3*t**4.
-2*t*(t - 1)**2*(t + 6)/3
Factor 14*o - 15/4*o**2 + 1/4*o**3 - 15.
(o - 10)*(o - 3)*(o - 2)/4
Suppose 63*i + 9 = 66*i. Det