3*l - 96, 2*v - 144 = -v + 5*l. Let q = -45 + v. Factor -q*b - b**3 - 6*b + b**4 + 21*b - 8*b**2.
b*(b - 2)**2*(b + 3)
Let k be -9 + (-7)/(56/(-6))*8240/180. Let -k*i**3 + 0 + 28/3*i**2 + 4*i + 20/3*i**4 + 16/3*i**5 = 0. Calculate i.
-3, -1/4, 0, 1
Let h(o) = 4*o**3 + 17*o**2 + 16*o. Let i(d) = -21*d**3 - 85*d**2 - 80*d. Let t(j) = 16*h(j) + 3*i(j). Factor t(u).
u*(u + 1)*(u + 16)
Let k(v) be the first derivative of -2*v**4/15 - 446*v**3/45 + 284*v**2/15 - 38*v/5 + 5686. Let k(d) = 0. What is d?
-57, 1/4, 1
Let v(f) be the first derivative of -f**4/16 - 77*f**3/3 - 5929*f**2/2 + 2864. Factor v(u).
-u*(u + 154)**2/4
Let a(y) be the second derivative of -7*y**6/180 - 439*y**5/120 - 1099*y**4/12 + 2272*y**3/9 - 512*y**2/3 + 1022*y. Determine x so that a(x) = 0.
-32, 2/7, 1
Let o be 2*(-9)/(-6)*19. Let v = -43 + o. Factor 2*p**3 - 8*p**3 + v*p**2 + 99*p - 103*p.
-2*p*(p - 2)*(3*p - 1)
Factor 18/5*n**3 + 0 + 1/5*n**4 + 42/5*n - 61/5*n**2.
n*(n - 2)*(n - 1)*(n + 21)/5
Let h be (-36)/(245/10*44/(-77)). Find v such that 4/7 + 22/7*v - h*v**4 - 22/7*v**3 + 2*v**2 = 0.
-1, -2/9, 1
Let s(m) = 342*m**2 + 726*m + 406. Let c(f) = 1707*f**2 + 3629*f + 2029. Let q(k) = 6*c(k) - 29*s(k). Factor q(l).
4*(9*l + 10)**2
Suppose -184*w**2 + 99441*w**5 - 720*w**3 - 520*w**2 - 99445*w**5 - 192*w**4 = 0. What is w?
-44, -2, 0
Let x be ((-3827)/172 + 21)/(2/(-8)). Let w(v) be the third derivative of 2/21*v**3 + 0 + 1/210*v**6 + 0*v + 1/35*v**x + 1/14*v**4 + 28*v**2. Factor w(r).
4*(r + 1)**3/7
Let a be (((-1463)/84)/(-11))/(4/(-12)) + 2 + 3. Suppose -3*h + 6*h = 9. Find t such that 1/4*t**h + 0 + 0*t**2 - a*t = 0.
-1, 0, 1
Let v(m) = -m + 21. Let n be v(10). Suppose -i + n = -0*k - 4*k, -k + 13 = 5*i. Factor 0*h**2 + 24/7*h - 2/7*h**i - 32/7.
-2*(h - 2)**2*(h + 4)/7
Let z(y) be the third derivative of -y**5/20 - 1253*y**4/4 - 1570009*y**3/2 + 41*y**2 - 3*y - 2. Suppose z(c) = 0. What is c?
-1253
Solve 12812*h**3 + 3*h**5 + 38400*h + 379*h**4 + 57136*h**2 + 95*h**4 + 1424*h**2 + 7834*h**3 + 15*h**4 = 0 for h.
-80, -2, -1, 0
Let y(n) = -7*n**2 - 55*n + 4. Let x(g) be the second derivative of 4*g**4 + 129*g**3/2 - 27*g**2/2 - 12*g - 1. Let z(w) = -4*x(w) - 27*y(w). Factor z(f).
-3*f*(f + 21)
Let y(r) be the first derivative of r**4/18 - 3*r**2 + 66*r - 110. Let d(b) be the first derivative of y(b). Factor d(z).
2*(z - 3)*(z + 3)/3
Factor 12/7*g**2 - 6/7*g**4 + 0*g + 0 - 3*g**3.
-3*g**2*(g + 4)*(2*g - 1)/7
Let o(j) = 28*j**3 - 2103*j**2 + 1102497*j. Let t(p) = -9*p**3 + p**2 + p. Let q(u) = 5*o(u) + 15*t(u). Factor q(h).
5*h*(h - 1050)**2
Let k(a) be the second derivative of a**4/12 - 162*a**2 + 183*a - 4. Factor k(g).
(g - 18)*(g + 18)
Let n(a) be the second derivative of -3*a**5/20 + 59*a**4/8 + 10*a**3 - 41*a**2 - a - 74. Let b(k) be the first derivative of n(k). What is j in b(j) = 0?
-1/3, 20
Let z be -2*(-4)/32*(9 - -7). Let f be ((-6)/z)/(93/(-434)) + -5. Determine u, given that 1/4*u - 1/8*u**f + 3/8 = 0.
-1, 3
Suppose 4*j = 6*j + l - 418, 5*j - 1034 = 3*l. Suppose 12*p - j - 92 = 0. Factor -10*a**2 - 11*a**5 + 27*a**5 - 11*a**5 + 0*a**4 + p*a**3 - 20*a**4.
5*a**2*(a - 2)*(a - 1)**2
Suppose -2*b - 10 = 2*s, 8*b - 8*s + 9*s - 16 = 0. Factor 0 + 1/3*k - k**2 - 1/3*k**4 + k**b.
-k*(k - 1)**3/3
Let i(f) be the third derivative of -f**8/14112 - 2*f**7/735 + f**6/126 + 9*f**5/4 + 10*f**2 - 5*f. Let h(z) be the third derivative of i(z). Factor h(g).
-2*(g + 10)*(5*g - 2)/7
Let v(y) = -y**5 + 2*y**2 + y + 1. Let u(t) = 15*t**5 + 18*t**4 + 9*t**3 - 204*t**2 + 126*t - 18. Let m(n) = -u(n) - 18*v(n). Solve m(b) = 0.
-3, 0, 1, 4
Factor -13*n**2 + 8 + 23*n**2 - 11*n + 27150*n**3 - 27164*n**3 + 18*n + 25*n.
-2*(n - 2)*(n + 1)*(7*n + 2)
Let k(v) be the third derivative of 0*v - 1/30*v**5 + 1/12*v**4 + 0*v**3 + 1/240*v**6 - 131*v**2 + 0. Let k(s) = 0. Calculate s.
0, 2
Let f(a) = 3*a**4 + 35*a**3 - 81*a**2 - 1003*a - 890. Let q(d) = 12*d**4 + 141*d**3 - 324*d**2 - 4014*d - 3561. Let s(n) = 33*f(n) - 8*q(n). Factor s(t).
3*(t - 6)*(t + 1)*(t + 7)**2
Find u such that 2/7*u**2 - 50*u + 1700/7 = 0.
5, 170
Suppose -71*d = -845 - 504. Let t(i) be the second derivative of 0*i**4 + 0*i**2 - 1/80*i**5 + 0*i**3 + 0 + d*i. Factor t(f).
-f**3/4
Let g(c) be the second derivative of c**7/10080 + 77*c**4/6 + 182*c. Let d(r) be the third derivative of g(r). Determine h so that d(h) = 0.
0
Suppose -4/5*s**4 - 108/5*s**3 + 40 - 196/5*s**2 + 108/5*s = 0. What is s?
-25, -2, -1, 1
Let y = 380/97 + -170/291. Let w(c) be the first derivative of -y*c + 15/2*c**2 - 34 - 25/3*c**4 + 8*c**5 - 10/3*c**3. Factor w(v).
5*(2*v - 1)**3*(3*v + 2)/3
Let d(h) be the second derivative of h**6/20 - 57*h**5/20 - h**4/2 + 38*h**3 - 5*h + 9. Factor d(q).
3*q*(q - 38)*(q - 2)*(q + 2)/2
Let m be (16/24)/((-1)/(-3)). Suppose c + c = -2*r + 18, 0 = -m*r + 3*c - 2. Determine s, given that -3 - 8*s + s**3 + 12 + 5*s + 6*s - r*s**2 = 0.
-1, 3
Let 43*v**2 + 729*v**3 - 275*v - 195 - 734*v**3 - 128*v**2 = 0. What is v?
-13, -3, -1
Let o be 2 - (230/15 + (-4)/(-6)). Let r be 3/(-2)*28/o. Solve 18*w**3 - 10*w**3 - 294 + 11*w**2 + 25*w**2 - 11*w**r - 63*w = 0 for w.
-2, 7
Let m(y) = 4977*y + 4980. Let k be m(-1). Solve 42*i**2 - 141/4*i**k - 6*i**4 + 3/2 - 57/4*i + 12*i**5 = 0 for i.
-2, 1/4, 1
Let s(q) = 9*q**2 - 163*q - 2877. Let a(i) be the third derivative of i**5/12 - 41*i**4/12 - 719*i**3/3 + i**2 + 63*i. Let l(u) = 11*a(u) - 6*s(u). Factor l(t).
(t + 38)**2
Let s(i) = -i**2 - 400*i + 15227. Let r be s(35). Factor 22/3*w + 12 - 14/3*w**r.
-2*(w + 1)*(7*w - 18)/3
Suppose -21 = 14*d + 21. Let i be d - (2/12 + (-101)/30). Suppose 0 + 0*o + 1/5*o**3 + i*o**2 = 0. Calculate o.
-1, 0
Let k be -16 + 17 + 33453/147. Find c such that 4/7*c**2 + 160/7*c + k = 0.
-20
Let 80 + 142*q - 2*q**2 - 2*q**2 - 150 = 0. Calculate q.
1/2, 35
Let f be 60/20*5/5400*6. Let t(h) be the third derivative of 0 + 4*h**2 - 3/11*h**4 + 0*h**3 + 1/1155*h**7 + 0*h + f*h**6 + 4/55*h**5. Factor t(l).
2*l*(l - 1)*(l + 6)**2/11
Let y be 376/6*(-5 + (-21)/(-6)). Let h be 1 + -1 + y/(-329). What is w in 6/7*w**2 + 2/7*w**3 + h + 6/7*w = 0?
-1
Let -218*l**4 - 176*l - 204*l**4 + 128 - 4*l**3 + 72*l**2 + 420*l**4 = 0. What is l?
-8, 2
Let c(b) be the second derivative of b**5/12 - 5*b**4/3 + 25*b**3/2 - 26*b**2 + 4*b + 2. Let w(l) be the first derivative of c(l). Solve w(p) = 0 for p.
3, 5
Let k(c) be the first derivative of -c**4/2 + 194*c**3/3 + 1488. Let k(h) = 0. What is h?
0, 97
Let w(l) = -4*l - 3. Let c be w(-3). Suppose c*y - 27 = -0. Solve -7*x**3 + 3*x**2 - y*x**3 - 3*x**4 + 3*x**5 + 7*x**3 = 0 for x.
-1, 0, 1
Suppose -188/9*l + 62/3*l**2 + 0 + 2/9*l**3 = 0. Calculate l.
-94, 0, 1
Let t(a) = -277*a + 277*a**3 + 66 + 16*a**2 + 0*a - 58*a**2 - 21*a**4. Let f(o) = o**4 - o**3 + o - 2. Let l(i) = 3*f(i) + t(i). Find y, given that l(y) = 0.
-1, 2/9, 1, 15
Let g be (-2 - 204/(-18))*70/98. Let 0 + g*j**4 + 32/3*j**3 + 4/3*j**5 + 16/3*j**2 + 0*j = 0. Calculate j.
-2, -1, 0
Let v(f) be the second derivative of -33*f**7/56 - 331*f**6/20 - 1149*f**5/40 + 1606*f**4 - 48633*f**3/8 - 4563*f**2/4 + 309*f. Let v(d) = 0. What is d?
-13, -2/33, 3
Find v such that -220/3*v**2 - 169/3*v**5 + 276*v**3 + 0 + 16/3*v - 455/3*v**4 = 0.
-4, 0, 2/13, 1
Suppose -5*o = 5*r - 65, -3*r = -5*o - 194 + 99. Let g(z) be the first derivative of 9/2*z**2 - 2*z - z**4 - r - z**3. Factor g(j).
-(j - 1)*(j + 2)*(4*j - 1)
Factor -r + 1/5*r**4 + 6/5 - 7/5*r**2 + r**3.
(r - 1)**2*(r + 1)*(r + 6)/5
Let g(l) be the second derivative of -l**5/240 - l**4/8 - 5*l**3/6 - 8*l**2 - l + 65. Let p(r) be the first derivative of g(r). Factor p(y).
-(y + 2)*(y + 10)/4
Let a(k) be the first derivative of 0*k**4 + 1/225*k**6 + 0*k**2 + 11/150*k**5 - 13 + 28*k + 0*k**3. Let c(d) be the first derivative of a(d). Factor c(s).
2*s**3*(s + 11)/15
Let v = 174/215 - 788/1505. Find k such that 86/7*k + 88/7 - v*k**2 = 0.
-1, 44
Let f(l) be the second derivative of -l**5/15 - 17*l**4/12 + l**3 + 65*l**2/6 + 708*l - 1. Factor f(j).
-(j + 1)*(j + 13)*(4*j - 5)/3
Let g(v) be the second derivative of 1/35*v**5 + 0*v**3 + 0*v**2 + 0 + 5/294*v**7 + 2/35*v**6 + v + 0*v**4. Factor g(d).
d**3*(d + 2)*(5*d + 2)/7
Let y(z) be the first derivative of -2*z**3/9 + 14*z**2/3 + 80*z + 771. Let y(s) = 0. Calculate s.
-6, 20
Let a(p) be