-2. Factor 135*c**3 - 256 - 10*c**2 + d*c**2 + 216 - 140*c.
5*(c + 2)*(3*c - 2)*(9*c + 2)
Suppose 9*p + 44 = 25*p - 5*p. Let x(g) be the first derivative of -9/5*g**3 + 2 - 3/5*g - 9/5*g**2 - 3/5*g**p. Factor x(r).
-3*(r + 1)**2*(4*r + 1)/5
Let t(f) be the second derivative of -f**6/225 + 21*f**5/50 - 281*f**4/45 + 192*f**3/5 - 1696*f**2/15 + 2961*f + 2. Determine z, given that t(z) = 0.
2, 4, 53
Let l(r) be the first derivative of -r**5 - 25*r**4/4 - 10*r**3/3 + 50*r**2 + 120*r + 491. Let l(u) = 0. What is u?
-3, -2, 2
Solve 12*c**3 + 48/5*c + 14/5*c**4 + 8/5 + 86/5*c**2 = 0.
-2, -1, -2/7
Find i such that 6/5*i + 0 - 3/10*i**3 + 2/5*i**2 - 1/10*i**4 = 0.
-3, -2, 0, 2
Let g(v) be the first derivative of v**4/2 - 14*v**3/3 - 17*v**2 - 15*v + 263. Let h be g(9). What is q in -3/2*q**2 - 9/4*q**h + 0*q + 0 + 27/4*q**4 = 0?
-1/3, 0, 2/3
Let d(p) be the first derivative of -343*p**6/4 + 40425*p**5 - 9969015*p**4/2 + 5663620*p**3 - 2422560*p**2 + 460992*p + 1290. Determine y so that d(y) = 0.
2/7, 196
Factor -289*a + 2467*a**2 - 2599*a**2 - 221*a + 75*a - 12*a**3 - 450.
-3*(a + 6)*(2*a + 5)**2
Let x(y) be the third derivative of -y**5/30 - 53*y**4/12 - 34*y**3 - 5*y**2 - 88*y. Factor x(t).
-2*(t + 2)*(t + 51)
Let i = -49 - -52. Suppose 58 = 3*h + 3*q + 2*q, 3*h = i*q + 90. What is u in h*u - 2 - 43*u - 2*u**2 + 15*u + 14 = 0?
-3, 2
Suppose -o + 4*d - 14 = -0, 0 = -5*o + d + 6. What is g in 21373 + 3*g**3 + 19120 + 979 + 216*g**o + 5184*g = 0?
-24
Let o be (-90)/(-360) + 3/4 - 4/(-16)*-4. Find l such that 0 + o*l + 5/3*l**2 - 4/3*l**3 - 1/3*l**4 = 0.
-5, 0, 1
Let a be (6*(-6 - 156/(-24))/(-4))/(-3). Determine c, given that 7/4*c - a*c**2 + 9/2 = 0.
-2, 9
Let d be 5*-1*3/(-15)*(-40)/(-60). Find k, given that d*k + 2/9*k**2 + 0 = 0.
-3, 0
Factor 27/2 + 6*f + 1/2*f**2.
(f + 3)*(f + 9)/2
Let f be 7 - (-5)/(14/(-70)*5). Suppose -m**f + 1/3*m**4 - 2 - m**3 + 11/3*m = 0. Calculate m.
-2, 1, 3
Let n(w) be the first derivative of w**7/2100 + w**6/900 - w**5/300 - w**4/60 + 2*w**3/3 - 4*w**2 + 165. Let q(a) be the third derivative of n(a). Factor q(z).
2*(z - 1)*(z + 1)**2/5
Let z(u) = -24339*u + 24343. Let m be z(1). Factor -17/6*y**2 - 6*y + 1/6*y**m + 0*y**3 - 10/3.
(y - 5)*(y + 1)*(y + 2)**2/6
Let d = -101067 - -101069. Factor y + 4/5 + 1/5*y**d.
(y + 1)*(y + 4)/5
Let a(j) be the second derivative of 2/45*j**6 + 1/5*j**3 - 1/25*j**5 + 0 - 2/15*j**2 - 4/45*j**4 - 30*j - 1/105*j**7. Determine k so that a(k) = 0.
-1, 1/3, 1, 2
Let v(p) be the second derivative of -21 + 0*p**2 + 4*p + 0*p**3 - 3/140*p**5 - 1/98*p**7 + 1/35*p**6 + 0*p**4. Suppose v(u) = 0. What is u?
0, 1
Let g(h) be the third derivative of -1/1050*h**7 - 7/100*h**5 - 6*h**2 + 3/20*h**4 + h + 0*h**3 + 0 + 1/75*h**6. Factor g(i).
-i*(i - 3)**2*(i - 2)/5
Let a(f) = -6*f + 3. Let q be a(9). Let r = 64 + q. Let -r*n + 21*n - 7*n + 3*n**2 - 2 = 0. What is n?
-1, 2/3
Let r be (-7)/4*4968/(-1449). Let k(u) be the third derivative of 1/30*u**5 + 1/12*u**4 + 0*u + 1/240*u**r - 12*u**2 + 0*u**3 + 0. Find h such that k(h) = 0.
-2, 0
Let d(z) = -2*z**4 - 148*z**3 - 988*z**2 - 791*z - 3. Let i(s) = -s**4 + s**3 + 16*s**2 - 3*s + 1. Let t(u) = -d(u) - 3*i(u). What is a in t(a) = 0?
-20, -8, -1, 0
Suppose 0 = 4*m - 9*m - 110. Let q be (-60)/m + 27/99. Find v such that v**2 + 2*v**q - v**4 - 3/2*v**5 - 1/2*v + 0 = 0.
-1, 0, 1/3, 1
Let z(o) = 614*o - 1840. Let x be z(3). Let q = -138 - -193. Factor -y + 56*y**4 - y**x + y**3 - q*y**4 + 0*y.
y*(y - 1)*(y + 1)**2
Factor -25/2*f**2 - 1/2 + 101/4*f.
-(f - 2)*(50*f - 1)/4
Factor -333/2 + 93/4*s + 3/4*s**2.
3*(s - 6)*(s + 37)/4
Let g be (1442/(-126) + 11)*18/(-4). Let b be (-11 + (19 - 7))/(g/4). Factor -i**b - 3/2*i**3 - 1/2*i**4 + 0*i + 0.
-i**2*(i + 1)*(i + 2)/2
Let k(j) = j. Let c be k(3). Suppose 12*a**4 + a**3 + 6*a**5 + 10*a**3 - 3*a**5 + a**c = 0. Calculate a.
-2, 0
Factor -4/5*w**2 + 896/5*w - 892/5.
-4*(w - 223)*(w - 1)/5
Suppose -13*v = -8*v - 35. Solve 12 - 20*l - 8 + 10 + v*l**2 + 6 - 2*l**2 = 0.
2
Suppose -3*k - 20 = -4*u, 2*k - 3*k + u - 5 = 0. Let s(b) be the second derivative of 0 - 1/7*b**2 + 11*b + k*b**3 + 1/42*b**4. What is f in s(f) = 0?
-1, 1
Let a(s) be the third derivative of -s**7/1260 + s**6/60 - 7*s**5/72 + s**4/6 - 1972*s**2 - 1. Let a(p) = 0. What is p?
0, 1, 3, 8
Suppose -2 = c - 4. Factor 13*h - 5*h**c + 14 + 2*h**2 - 5*h**2 - 20 + h**3.
(h - 6)*(h - 1)**2
Let d be (-3454)/(-40) - (-35)/(-350). Let s(w) be the second derivative of -30*w**2 + 20*w - 260/3*w**3 + 0 - d*w**4 + 81/4*w**5. Factor s(m).
5*(m - 3)*(9*m + 2)**2
Let g(v) be the second derivative of -v**5/20 + v**4/2 - 11*v**3/6 + 3*v**2 + 11*v + 25. Suppose g(t) = 0. Calculate t.
1, 2, 3
Let q = 230/1339 - 218574/368225. Let b = -6/25 - q. Factor 0 - b*v**2 + 8/11*v.
-2*v*(v - 4)/11
Let s(q) = -28*q**2 + 154*q + 722. Let k(v) = -5*v**2 + 31*v + 144. Let x(u) = 11*k(u) - 2*s(u). Factor x(m).
(m + 5)*(m + 28)
Let v(w) = 27*w + 428. Let q be v(-16). Let z be (105/(-70))/(2/q). Factor 4/3*i**z - 2/3*i**4 - 2/3*i - 2/3 - 2/3*i**5 + 4/3*i**2.
-2*(i - 1)**2*(i + 1)**3/3
Determine n, given that 1/3*n**3 - 568*n**2 + 322624*n - 183250432/3 = 0.
568
Let x = 14627 - 175523/12. Let n(s) be the first derivative of 0*s**5 + x*s**2 + 1/36*s**6 - 1/12*s**4 + 0*s**3 + 26 + 0*s. Factor n(b).
b*(b - 1)**2*(b + 1)**2/6
Let p(q) be the third derivative of 1/75*q**7 - 5 + 0*q + 1/100*q**6 + 7/30*q**4 - 1/840*q**8 + 0*q**3 - 23/150*q**5 + q**2. What is i in p(i) = 0?
-2, 0, 1, 7
Let y(o) = -50*o**2 - 2925*o - 2920. Let d(v) = -115*v**2 - 5850*v - 5840. Let q(l) = -3*d(l) + 7*y(l). Factor q(u).
-5*(u + 1)*(u + 584)
Suppose 2*t - 6 = p - 3, 4*t - p - 7 = 0. Let a be (-39)/(-4) - t/(-8). Solve a*h**3 - 5 - 5*h + 10*h**2 + 4*h**5 - 5*h**4 - 4*h**5 - 5*h**5 = 0 for h.
-1, 1
Let v = 5645 - 5639. Let l(i) be the third derivative of 0*i**4 - 4/525*i**7 + 0*i**5 + 0*i + 5*i**2 + 0 + 1/420*i**8 + 0*i**v + 0*i**3. Factor l(n).
4*n**4*(n - 2)/5
Let n(h) = -15*h - 381. Let a be n(-25). Let m be -5 - (10 - 12) - a. Factor 24/7*y**2 + 4/7*y**m + 32/7 + 48/7*y.
4*(y + 2)**3/7
Let b be (8 - (2 - 1)) + 49. Find h, given that 60*h - 2*h**2 + 0*h**2 + 7 + b - 1 = 0.
-1, 31
Let u(y) be the second derivative of 5324*y**7/105 + 363*y**6/25 - 2981*y**5/50 + 109*y**4/3 - 52*y**3/5 + 8*y**2/5 - 31*y - 3. Let u(w) = 0. What is w?
-1, 2/11, 1/4
Let h(n) be the second derivative of -35*n**4/12 - 1760*n**3 + 1510*n**2 - 610*n. Factor h(a).
-5*(a + 302)*(7*a - 2)
Let l be (8 - (-1632)/(-208)) + (-535)/3393. Let r = 86/261 - l. Factor 2/3 - r*b**3 + 4/3*b**2 - 5/3*b.
-(b - 2)*(b - 1)**2/3
Let y(p) be the first derivative of -3*p**5/5 + 13*p**4/20 + 92*p**3/15 + 6*p**2/5 - 2384. Find z such that y(z) = 0.
-2, -2/15, 0, 3
Factor -128 + 8*z**2 + 33988*z - 4*z**3 - 17001*z - 16923*z.
-4*(z - 4)*(z - 2)*(z + 4)
Let j(h) be the third derivative of 0*h**3 + 0*h + 62*h**2 - 5/18*h**5 + 11/180*h**6 + 2 + 13/36*h**4 + 1/315*h**7. Solve j(p) = 0 for p.
-13, 0, 1
What is c in -4*c + 63*c**2 - 2*c + 5356 - 2674 + 33*c**3 - 2682 = 0?
-2, 0, 1/11
Let s be (2 + 1)/(-2 + (-38)/(-16)). Factor 3*c**2 - s - 8 + 23 - 7 - 45*c.
3*c*(c - 15)
Let y(x) be the third derivative of x**8/168 - 2*x**7/35 + x**6/30 + 8*x**5/15 - x**4/4 - 10*x**3/3 - 2*x**2 + 28*x + 20. Solve y(c) = 0 for c.
-1, 1, 2, 5
Suppose d + 24 = 5*x, x - 4*d = -3*x + 32. Suppose -c - 23 + 93 = -5*n, -x*n = -5*c + 266. Determine l so that c*l**2 - 7*l - 51*l**2 + 2*l - 4 = 0.
-4, -1
Suppose 155 - 155 = -37*n. Let v(i) be the third derivative of 1/150*i**5 + 0*i - 31*i**2 + 1/15*i**4 + n + 4/15*i**3. What is a in v(a) = 0?
-2
Let m(v) be the first derivative of -14*v**4 + 78*v**3 - 17*v**2 - 24*v + 1355. Factor m(o).
-2*(o - 4)*(4*o + 1)*(7*o - 3)
Let u(l) be the first derivative of -4*l**3/3 - 52*l**2 + 611. Factor u(v).
-4*v*(v + 26)
Suppose 0 = -4*j + 4*k + 5 + 11, 4*j = 2*k + 18. Determine b so that 198*b**3 + 45 - 54*b**4 + 282*b**2 + 111*b**4 + 183*b - 2*b**5 + j*b**5 = 0.
-15, -1
Let v = 9323 + -9323. Let t(b) be the third derivative of 9/80*b**5 + 0 - 1/24*b**4 + 1/120*b**7 - 10*b**2 - 1/6*b**3 + v*b - 13/240*b**6. Factor t(m).
(m - 2)*(m - 1)**2*(7*m + 2)/4
Suppose 2*c + 34 = -4*f, 2*f - c - 10 = -33. Let n be (-39)/5 - (-19 - f). Factor -2/5*p**3 + n + 2/5*p**2 + 2*p.
-2*(p -