0/3*b**2 + y - 5*b**4 + 5/3*b**5 + 10/3*b**3 - 5*b = 0.
-1, 1
Let b(f) = 1297 - 1285 - 11*f**2 + 3*f - 9*f. Let j(x) = -120*x**2 - 65*x + 130. Let y(z) = 65*b(z) - 6*j(z). Factor y(p).
5*p**2
Let u(n) be the first derivative of 2*n**3/21 - 23*n**2/7 + 12*n - 1963. Suppose u(d) = 0. What is d?
2, 21
Let f(t) = 2*t**2 + 102*t + 199. Let k be f(-2). Determine i, given that 2/5*i**k + 16/5*i - 12/5*i**2 + 0 = 0.
0, 2, 4
Determine o, given that -165/2 + 3/4*o**2 - 3/4*o = 0.
-10, 11
Let s(n) be the first derivative of n**3/3 - 430*n**2 + 184900*n - 113. Factor s(j).
(j - 430)**2
Let o(t) be the first derivative of t**6/14 - 69*t**5/35 - 75*t**4/28 + 23*t**3/7 + 36*t**2/7 - 850. What is h in o(h) = 0?
-1, 0, 1, 24
Let b(h) be the third derivative of -h**5/120 + 23*h**4/16 - 295*h**3/6 - 3*h**2 - 17*h. Find x such that b(x) = 0.
10, 59
Let d(v) be the first derivative of -v**6/9 + 28*v**5/15 - 13*v**4/6 - 1248. Suppose d(u) = 0. Calculate u.
0, 1, 13
Let g(c) be the third derivative of 13*c**6/360 + 58*c**5/45 + 113*c**4/8 - 9*c**3 + 256*c**2. Factor g(h).
(h + 9)**2*(13*h - 2)/3
Let l = 445865 - 445863. Factor 1/2*w**4 - l*w + 63/2*w**2 - 42 + 12*w**3.
(w - 1)*(w + 2)**2*(w + 21)/2
Let d(l) be the first derivative of -3*l**4/4 + 47*l**3 - 792*l**2 - 1728*l + 632. Factor d(i).
-3*(i - 24)**2*(i + 1)
Suppose 3291*q = 3289*q + 2376. Let x = q + -1186. Factor 6/5*g - 2/5*g**x - 4/5.
-2*(g - 2)*(g - 1)/5
Suppose -72*c - 30 = -87*c. Let 11*f**5 + 7*f**5 - 72*f - 20*f**5 - 74*f**3 - 120*f**c - 20*f**4 = 0. Calculate f.
-3, -2, 0
What is n in 0 - 2/7*n**2 - 4*n = 0?
-14, 0
Factor -316*r - 528/5 + 12/5*r**2.
4*(r - 132)*(3*r + 1)/5
Let w = -209 - 169. Let f be (2/(-21))/((-9)/(w/(-28))). Factor 1/7*k**4 - 2*k**2 - f*k**5 + 6/7*k**3 + 11/7*k - 3/7.
-(k - 1)**4*(k + 3)/7
Let s = 912 - 607. Let x = -302 + s. Solve 0 + 96/5*u**x + 4/5*u**5 + 8*u**2 - 20*u - 8*u**4 = 0 for u.
-1, 0, 1, 5
Let g = -405 - -407. Factor -4*i**3 - 102 + 60*i - 64 - 6*i**2 + 62 + 54*i**g.
-4*(i - 13)*(i - 1)*(i + 2)
Suppose 2*a = -o + 4, -10*o + 16 = -6*o + 2*a. Let 9*v**3 - 534*v**o - 25*v**2 + 559*v**4 - 10*v + v**3 = 0. Calculate v.
-1, -2/5, 0, 1
Let n = 105 + -103. Factor -51*g**3 + 270*g**n - 37*g**3 - 243*g + 57*g**3 - 44*g**3.
-3*g*(5*g - 9)**2
Find l such that -12160*l + 18050/3 - 128*l**3 + 2/3*l**4 + 18812/3*l**2 = 0.
1, 95
Factor -1/6*w**2 + 13/6*w + 0.
-w*(w - 13)/6
Suppose -777/8*l**2 - 775/8 - 1551/8*l - 1/8*l**3 = 0. What is l?
-775, -1
Find k, given that -7*k**2 - 1/7*k**5 - 16/7*k + 0 - 19/7*k**4 - 51/7*k**3 = 0.
-16, -1, 0
Let r(n) be the first derivative of 20*n**2 - 1/3*n**3 - 25 - 400*n. Factor r(o).
-(o - 20)**2
Find m such that 9*m - 7/4 - 33/4*m**2 + m**3 = 0.
1/4, 1, 7
Let c = 541 + -537. Determine k so that -8*k**4 - 92 - 6*k**2 + 2*k**3 - 8*k + 5*k**2 + 21*k**2 + 76 + 0*k**c + 2*k**5 = 0.
-1, 2
Let v(c) = c**2 - c. Let m be v(2). Let l be (2 + -1 - -1)*m. Suppose -2*q + 5 + 6 - 7 - l*q**2 + 2*q**3 = 0. What is q?
-1, 1, 2
Let a(b) = -25*b**4 - 40*b**3 - 246*b**2 - 482*b - 320. Let l(z) = 21*z**4 + 41*z**3 + 247*z**2 + 483*z + 320. Let i(d) = 5*a(d) + 6*l(d). Factor i(p).
(p + 2)**3*(p + 40)
Let w(x) be the second derivative of -x**7/147 - 37*x**6/105 - 69*x**5/35 - 101*x**4/21 - 19*x**3/3 - 33*x**2/7 - 1311*x. Factor w(y).
-2*(y + 1)**4*(y + 33)/7
Let a(f) = 16*f**3 - 31*f**2 + f + 29. Suppose -110 = 3*g - 125. Let t(s) = -24*s**3 + 47*s**2 - s - 43. Let q(p) = g*t(p) + 7*a(p). What is x in q(x) = 0?
-3/4, 1, 2
Let z(q) be the third derivative of q**9/30240 - q**8/5040 - q**7/840 - q**5/30 + 17*q**4/12 + 172*q**2. Let p(b) be the third derivative of z(b). Factor p(t).
2*t*(t - 3)*(t + 1)
Let q be (-72053)/45 + (-44)/(-110) + 3. Let y = -1596 - q. Factor -y - 2/9*j**3 + 8/9*j + 4/9*j**2.
-2*(j - 2)**2*(j + 2)/9
Suppose -79 = -5*y + 131. Suppose 12 = -10*r + y. Factor 135*x**3 + 5*x**4 - 1 - 130*x**r - 10*x**5 + 1.
-5*x**3*(x - 1)*(2*x + 1)
Let s(u) be the second derivative of -u**5/300 + u**4/40 - 24*u**2 + 30*u. Let n(c) be the first derivative of s(c). Factor n(z).
-z*(z - 3)/5
Let c be 9/(-6)*8/3 + 0. Let t be (-142)/(-46) + c/46. Factor 1/2*r**4 + 3*r**t - 5/2*r - 3/2 - 1/2*r**5 + r**2.
-(r - 3)*(r - 1)*(r + 1)**3/2
Let b(f) be the second derivative of -f**6/150 - 177*f**5/25 - 63011*f**4/30 - 41654*f**3/5 - 124609*f**2/10 + 8042*f. Factor b(k).
-(k + 1)**2*(k + 353)**2/5
Suppose 18*v + 2 = -3*c + 23*v, -4*c = 2*v - 32. Suppose 10*y**2 + 5 - c*y**3 - 25*y**2 - 34*y - 43*y**2 + 13 = 0. What is y?
-9, -1, 1/3
Let s be -458 + 446 + 16 + 0. Find m, given that -16/7*m + 30/7*m**2 - 2/7*m**s + 0 - 12/7*m**3 = 0.
-8, 0, 1
Let b(z) be the second derivative of 0*z**4 + 1/70*z**5 - 1/1260*z**6 - 22*z + 2*z**3 + 0 + 0*z**2. Let c(d) be the second derivative of b(d). Factor c(w).
-2*w*(w - 6)/7
Let x(k) = 5*k**2 + k + 3. Let p(g) = -51*g**2 - 100*g + 649. Let u(o) = -p(o) - 10*x(o). Let u(h) = 0. What is h?
-97, 7
Let q(z) be the second derivative of 2*z**7/21 + 3*z**6/5 + 8*z**5/5 + 7*z**4/3 + 2*z**3 + z**2 + z + 91. Let q(f) = 0. Calculate f.
-1, -1/2
Let c(j) be the third derivative of j**6/2700 - 11*j**5/450 - 85*j**3/6 + 132*j**2. Let o(i) be the first derivative of c(i). Factor o(s).
2*s*(s - 22)/15
Let q(m) = 2*m**2 - 3 + 5*m - m**2 - 5*m + 2*m. Let s(p) = -2*p**2 - p - 1. Let a(y) = -3*q(y) + 6*s(y). Suppose a(l) = 0. Calculate l.
-1, 1/5
Factor -139876 + 53603*m - 1500*m**2 + 6832*m + 114005*m + 4*m**3 - 33068*m.
4*(m - 187)**2*(m - 1)
Let i(g) be the first derivative of -5*g**4/8 - 20*g**3 + 135*g**2 - 280*g + 5495. Factor i(p).
-5*(p - 2)**2*(p + 28)/2
Let v = 1649188/419 - 3936. Let q = v + 3316/3771. Factor 8/9 + 2/9*t**2 - q*t.
2*(t - 2)**2/9
Suppose 3*w = -y + 123, 42*y - w + 345 = 45*y. Suppose 86*j - y = 58. Determine r, given that -4/9*r**j - 4/3*r + 0 = 0.
-3, 0
Let k(o) be the third derivative of -o**5/540 - 4*o**4 - 3456*o**3 - 4*o**2 - 262. What is q in k(q) = 0?
-432
Suppose -3*p + 20 - 8 = 0. Suppose p*h - 37 = -o + 2*o, 3*o = 3*h - 30. Factor -2*m**3 - 4*m**3 + h*m**2 - 5*m**2.
-2*m**2*(3*m - 2)
Let y(h) = -473*h**2 + 278*h - 505. Let z(m) = -203*m**2 + 138*m - 253. Let i(k) = -3*y(k) + 7*z(k). Factor i(d).
-2*(d - 64)*(d - 2)
Let b(s) be the first derivative of s**6/15 + 36*s**5/25 + 13*s**4/2 - 1996. Factor b(w).
2*w**3*(w + 5)*(w + 13)/5
Let j(b) be the third derivative of 0 - 720*b**3 + 0*b + 1/48*b**6 - 3/2*b**5 + 71*b**2 + 45*b**4. What is l in j(l) = 0?
12
Let b = 80959 - 728531/9. Factor 2/9*g**2 + b*g + 1250/9.
2*(g + 25)**2/9
Let z(c) be the third derivative of -c**5/140 + 9*c**4/8 + 32*c**3/7 + 2*c**2 + 53. Factor z(p).
-3*(p - 64)*(p + 1)/7
Let p(d) be the first derivative of 3*d**5/5 - 3*d**4/4 - 2*d**3 + 2419. Factor p(c).
3*c**2*(c - 2)*(c + 1)
Let h(s) = -s**3 - 29*s**2 - s + 15. Let r be h(-29). Let l = r + -36. Determine t, given that -t**4 - 9*t**2 + l*t**4 + 5*t**2 - 3*t**4 = 0.
-1, 0, 1
Let b(q) be the third derivative of q**5/60 - q**4/3 - 15*q**3/2 + 24*q**2. Let g be b(12). Solve -g*t - 4*t**3 + 4*t**3 + 3*t**4 + 9*t**2 + 0*t - 9*t**3 = 0.
0, 1
Let f(a) be the second derivative of -a**5/10 - 20*a**4/3 - 119*a**3 + 882*a**2 - 3663*a. Factor f(x).
-2*(x - 2)*(x + 21)**2
Let p(k) be the second derivative of 8 + 0*k**2 - 1/21*k**4 + 2/105*k**6 + 2/21*k**3 - 2*k - 1/35*k**5. Let p(w) = 0. What is w?
-1, 0, 1
Let h = -1336439/210 + 6364. Let v(p) be the third derivative of 0*p**4 + 0*p**5 + h*p**7 + 0*p + 0*p**3 - 20*p**2 + 0*p**6 + 0. Find z such that v(z) = 0.
0
Let t(b) be the first derivative of 8*b + 25/28*b**4 - 8 + 6/7*b**2 - 10/7*b**3. Let p(z) be the first derivative of t(z). Factor p(d).
3*(5*d - 2)**2/7
Find i, given that -30*i**2 - 2/21*i**3 - 626/21 - 418/7*i = 0.
-313, -1
Let i be (-10)/(-3)*((-36)/(-20) + 0). Let v(j) = -j**2 + 6*j + 17. Let q be v(i). Factor 11*o**2 + 2*o**5 + 6*o**2 - 4*o**4 - q*o**2 + 2*o**3.
2*o**3*(o - 1)**2
Solve 2*y**4 - 104/7*y**2 + 2/7*y**5 - 272/7*y + 12/7*y**3 - 192/7 = 0.
-4, -2, 3
Let h(o) = -19*o**2 + 378*o + 419. Let i(m) = 210 - 7*m**2 + 98*m + 17*m - 3*m**2 + 73*m. Let j(q) = 6*h(q) - 11*i(q). Let j(g) = 0. What is g?
-1, 51
Find t, given that -16/3*t - 184/9*t**2 + 0 - 2*t**4 + 140/9*t**3 = 0.
-2/9, 0, 2, 6
Let n(l) be the third derivative of l**5/20 + 6*l**4 + 288*l**3 -