te i.
-4, -1, 0
Let l be -6 + (10/20 - (-8 + -1)) + -2. Factor -l*n**2 + 0*n + 0 - 1/2*n**3.
-n**2*(n + 3)/2
Let q(w) be the third derivative of -w**5/20 + 21*w**4/4 - 41*w**3/2 + 4*w**2 - 44*w. Factor q(l).
-3*(l - 41)*(l - 1)
Let u(m) = -m**3 - m**2 - 2*m - 1. Let b(l) = l**3 - 52*l**2 + 6*l - 3. Let n(t) = -2*b(t) + 6*u(t). Factor n(v).
-2*v*(v - 12)*(4*v - 1)
Let o be ((-1)/1)/((-1)/2). Let k(r) = -r**3 - 4*r**2 + 2*r - 3. Let c be k(-5). Determine y, given that 6*y**3 + c*y**o + 4 - y**3 + 22*y - 10*y - y**3 = 0.
-1
Let c(a) = -7*a**2 + 8*a + 3. Let f(h) be the first derivative of -h**3/3 + h**2/2 - 11. Let b(k) = -c(k) + 6*f(k). Factor b(g).
(g - 3)*(g + 1)
Let n(x) be the second derivative of x**6/6 + 3*x**5/4 - 15*x**4/4 + 25*x**3/6 - 5*x + 8. Factor n(i).
5*i*(i - 1)**2*(i + 5)
Let t(h) be the first derivative of 3*h**5/10 - 21*h**4/4 + 18*h**3 - 51*h**2/2 + 33*h/2 + 52. Factor t(l).
3*(l - 11)*(l - 1)**3/2
Factor 0 - 2/7*t**2 - 198/7*t.
-2*t*(t + 99)/7
Let c(x) be the third derivative of x**2 - 1/210*x**5 + 0 + 0*x**4 + 1/140*x**6 + 0*x**3 + 0*x - 1/245*x**7 + 1/1176*x**8. Suppose c(h) = 0. Calculate h.
0, 1
Let g = 278/3 + -2221/24. Find r, given that -1/8 - g*r**2 - 1/4*r = 0.
-1
Let k(c) be the third derivative of -c**5/15 - c**4/6 + 40*c**3/3 + 358*c**2. Find s such that k(s) = 0.
-5, 4
What is q in 64/9*q**2 + 1444/9 + 608/9*q = 0?
-19/4
Let r(u) be the second derivative of 0*u**3 + 10*u + 0*u**2 + 1/84*u**7 + 0 + 1/20*u**5 - 1/20*u**6 + 0*u**4. Factor r(g).
g**3*(g - 2)*(g - 1)/2
Let z be ((-7)/(1092/48))/(37/13 + -3). Factor 0*q - 1/2*q**4 + 1/2*q**z + 0 + 0*q**3.
-q**2*(q - 1)*(q + 1)/2
Let 455 + 315 - 91 + p**2 + 105 + 56*p = 0. What is p?
-28
Let j(o) = 6*o**3 + 99*o**2 + 279*o + 384. Let d(g) = -3*g**3 - 51*g**2 - 139*g - 192. Let q(n) = 9*d(n) + 5*j(n). Determine u, given that q(u) = 0.
-4
Let k(r) = -3*r - 55. Let i be k(-18). Let z be (i/15)/((-2)/(-60)*-5). Suppose -z + 8/5*t**2 - 6/5*t = 0. What is t?
-1/4, 1
Let a be (4 - 54/12)/(4/(-32)). Let h(u) be the first derivative of -7 + 4*u**2 - 1/5*u**5 + 4*u + 1/3*u**3 - 5/4*u**a + 1/6*u**6. Factor h(k).
(k - 2)**2*(k + 1)**3
Let u(g) be the second derivative of 1/10*g**2 + 0 - 10*g + 1/210*g**7 + 1/30*g**4 - 1/10*g**3 + 1/50*g**5 - 1/50*g**6. Factor u(a).
(a - 1)**4*(a + 1)/5
Let q = 67 - 28. Let t = q - 22. Factor -3*l**3 - 3*l**2 + 8 + 2*l**3 - t - 2*l**3 + 15*l.
-3*(l - 1)**2*(l + 3)
Let g(p) = -p**2 - 1544*p - 118588. Let b(n) = -n**2 - 3089*n - 237178. Let w(y) = 4*b(y) - 9*g(y). Factor w(h).
5*(h + 154)**2
Let k be 8428/1617 - (-30)/(-55). Solve 2/3*t**2 + 0 + k*t = 0 for t.
-7, 0
Determine a so that 128/5*a**4 + 0*a + 16/5*a**3 - 4/5*a**2 + 0 = 0.
-1/4, 0, 1/8
Let w = -94 + 110. Suppose 6*q - w = -2*q. Determine y, given that -2/3*y**3 - 2/3*y + 0 + 4/3*y**q = 0.
0, 1
Let o(t) be the second derivative of t**6/18 - 7*t**5/12 + 25*t**4/12 - 65*t**3/18 + 10*t**2/3 - 8*t - 4. Factor o(c).
5*(c - 4)*(c - 1)**3/3
Determine t so that -36/5*t + 58/5*t**2 + 2/5*t**4 + 0 - 24/5*t**3 = 0.
0, 1, 2, 9
Let k(z) be the second derivative of 26*z**4/3 + 50*z**3/3 - 2*z**2 - z + 102. Let k(c) = 0. Calculate c.
-1, 1/26
Let g(f) = 3*f + 1. Let d be g(1). Let v be (d/3)/((-10)/(-15)). Find o such that -v*o + 6*o - 5*o**2 - 6*o = 0.
-2/5, 0
Let x(m) be the third derivative of -2*m**7/105 - 2*m**6/15 + 43*m**5/15 + 47*m**4/3 + 32*m**3 + 356*m**2. Solve x(v) = 0.
-8, -1, 6
Let r(s) = 8*s**2 + 2*s + 3. Let a be r(-1). Factor -a*x - 1 - x**3 - 11*x - 3*x**2 + 17*x.
-(x + 1)**3
Let a(t) be the first derivative of t**6/1440 - t**5/240 + t**4/96 - 4*t**3/3 - 5. Let q(k) be the third derivative of a(k). Determine j so that q(j) = 0.
1
Suppose 0 + d**3 - 5/2*d**2 + d = 0. What is d?
0, 1/2, 2
Let a(y) be the third derivative of y**5/30 + 11*y**4/12 + 8*y**3 - 784*y**2. Factor a(i).
2*(i + 3)*(i + 8)
Let o(f) be the third derivative of 0 + 1/660*f**6 + 0*f**3 - 1/132*f**4 + 0*f**5 + 0*f + 11*f**2. Factor o(h).
2*h*(h - 1)*(h + 1)/11
Let y(w) be the third derivative of 1/30*w**6 + 1/6*w**4 + 0 + 2/15*w**5 + 0*w**3 + 0*w - 8*w**2. Factor y(t).
4*t*(t + 1)**2
Let q = 104 + -102. Factor -6*n**2 + 10 + q*n**2 + 24*n**2 - 10*n**3 + 15*n**2 - 35*n.
-5*(n - 2)*(n - 1)*(2*n - 1)
Let h(a) be the second derivative of -a**5/140 + a**4/14 - 5*a**3/42 - 83*a. Factor h(c).
-c*(c - 5)*(c - 1)/7
Factor -5*s**3 - 565 - 8*s**2 + 6*s**3 + 6*s - 7*s + 573.
(s - 8)*(s - 1)*(s + 1)
Let c(u) be the second derivative of -2*u**7/21 - 6*u**6/5 - 5*u**5 - 5*u**4 + 52*u**3/3 + 48*u**2 + 2*u - 102. Suppose c(z) = 0. What is z?
-4, -3, -2, -1, 1
Let s be ((-10)/(-12))/((-2)/159). Let t = 67 + s. Factor -t*q - 3/4*q**2 + 3/2.
-3*(q - 1)*(q + 2)/4
Let u(m) be the third derivative of -3*m**2 + 0*m - 1/66*m**4 - 1/660*m**5 - 2/33*m**3 + 0. Factor u(l).
-(l + 2)**2/11
Let q be (13 + (-50)/4)*(64/12)/4. Suppose 1/6*h**2 + 1/2 - q*h = 0. What is h?
1, 3
Let y = 242/3 + -2419/30. Let x(d) be the third derivative of 0*d**4 + 1/40*d**6 - y*d**5 + 0 + 1/42*d**7 + 0*d + 3*d**2 + 0*d**3. Factor x(b).
b**2*(b + 1)*(5*b - 2)
Let b = 16/57 + 1534/627. Factor 42/11*f - 54/11*f**2 + b*f**3 - 6/11*f**4 - 12/11.
-6*(f - 2)*(f - 1)**3/11
Let c be (0 - (-6)/32)/(204/136). Let t(m) be the first derivative of 1/2*m - 1/6*m**3 + c*m**2 - 1/16*m**4 + 2. Determine f, given that t(f) = 0.
-2, -1, 1
Let a be (-46)/(-14) + 4/(-14). Suppose -a*p = -2*l - 2*l + 58, 4*l - 48 = -2*p. Find v such that 5*v**4 - l*v**2 - 5*v**2 - 5*v**3 + 18*v**2 = 0.
0, 1
Let x be (1/((-6)/(-16)))/(1/(-6)). Let y be 3/((-45)/2)*72/x. Find p, given that -9/5*p - 6/5 - y*p**2 = 0.
-2, -1
Suppose -d = 17*d. Let x(j) be the second derivative of -4/11*j**2 + 0 - 1/110*j**5 + 5*j + d*j**3 + 1/22*j**4. Factor x(y).
-2*(y - 2)**2*(y + 1)/11
Let l(p) = 9*p**2 + 394*p + 13066. Let b(y) = -120*y**2 - 5121*y - 169857. Let g(d) = -2*b(d) - 27*l(d). Determine m so that g(m) = 0.
-66
Factor 50/3 - 10*l - 2/3*l**3 - 6*l**2.
-2*(l - 1)*(l + 5)**2/3
Let a(r) be the first derivative of r**4/22 - 20*r**3/33 - r**2 - 64. Factor a(y).
2*y*(y - 11)*(y + 1)/11
Let g(q) be the first derivative of 0*q**3 + 1/20*q**5 - 1/8*q**4 - 9 - 1/4*q + 1/4*q**2. What is v in g(v) = 0?
-1, 1
Let q(t) be the third derivative of t**5/75 - 8*t**4/15 + 26*t**3/5 + t**2 - 102. Factor q(s).
4*(s - 13)*(s - 3)/5
Suppose -3*z + z = 4, -4*z - 18 = -5*t. Let y(g) = -2*g**4 - 4*g**3 + 4*g**2 + 13*g. Let n(m) = -m**3 + m**2 + m. Let x(i) = t*y(i) - 22*n(i). Factor x(h).
-2*h*(h - 2)*(h - 1)*(2*h - 1)
Suppose -d = -2 + 4. Let n be d + (55/10 - 2). Let 3/2*q**3 + 7/2*q**4 + n*q**5 - 3/2*q**2 + 0 - q = 0. Calculate q.
-1, 0, 2/3
Let w(v) = 44*v**3 - 120*v**2 - 204*v - 96. Let z(c) = 61*c**3 - 160*c**2 - 272*c - 128. Let m(i) = 11*w(i) - 8*z(i). Solve m(q) = 0 for q.
-8, -1
Suppose -3*m + 4*x - 2 = -31, -25 = -5*m + 2*x. Suppose 0 = -3*d - c, 5*d - 7*c = -m*c. Factor d*n**2 - 3/4*n + 3/4*n**3 + 0.
3*n*(n - 1)*(n + 1)/4
Let b be (-16)/(-6) - 3/(-9). Suppose 0*x**3 + 15*x**3 - 5*x**3 + 3 - b*x**2 - 3*x - 7*x**3 = 0. Calculate x.
-1, 1
Let w(g) = -12*g**2. Let v(u) = -u**3 + 24*u**2. Suppose 3*r = 5 + 10. Let l(d) = r*w(d) + 3*v(d). What is p in l(p) = 0?
0, 4
Let s(z) be the third derivative of -1/600*z**6 - 3/20*z**4 + 0*z - 1/6*z**3 + 0 + 1/40*z**5 - 6*z**2. Let g(b) be the first derivative of s(b). Factor g(i).
-3*(i - 3)*(i - 2)/5
Let y(z) be the third derivative of z**8/2520 + 2*z**7/1575 - 2*z**6/225 + 7*z**2 - 22. Determine g, given that y(g) = 0.
-4, 0, 2
Let k = -44/19 + 151/57. Let m(l) be the first derivative of -2/3*l**2 + 1/15*l**5 - 11 - 1/3*l**4 + 2/3*l**3 + k*l. Factor m(t).
(t - 1)**4/3
Let c(v) = v + 1. Let p(k) be the first derivative of -1/3*k**3 - 2 - 2*k**2 - 2*k. Let d(o) = -2*c(o) - p(o). Find w, given that d(w) = 0.
-2, 0
Let z(q) be the second derivative of q**6/180 - q**5/15 + 7*q**4/24 - q**3/2 + 557*q. Suppose z(b) = 0. What is b?
0, 2, 3
Let p(i) be the third derivative of 1/48*i**4 - 18*i**2 - 1/12*i**3 + 0 - 1/480*i**5 + 0*i. Factor p(r).
-(r - 2)**2/8
Let o(m) be the first derivative of -3*m**5/5 - 3*m**4/2 + 24*m**3 + 27*m**2 - 405*m - 376. Factor o(j).
-3*(j - 3)**2*(j + 3)*(j + 5)
Factor 5*q**2 - 850*q + 25205 + 140*q - 3*q**2 + 3*q**2.
5*(q - 71)**2
Let n(z) = -z**3 + z**2 + 1. Let g be n(0)