09 - 318*h**3 + 3*h**5 - 234 + 870*h**2 - 975*h - 5*h**5 + 51*h**j.
-3*(h - 5)**3*(h - 1)**2
Let s be -54 - ((-55 - 46) + 44). Factor 0 + 0*h + 1/3*h**2 + 1/3*h**4 - 2/3*h**s.
h**2*(h - 1)**2/3
Let q be ((-6)/(-8))/((-1)/(40/(-5))). Let p = 8 - q. Factor -u + 0*u + 10*u**4 - 8*u**5 + 6*u + 3*u**5 - 10*u**p.
-5*u*(u - 1)**3*(u + 1)
Factor h**4 - 80*h**3 + 146*h**3 - 2*h**4 - 169*h**2 + 10648*h - 736*h**2 - 547*h**2.
-h*(h - 22)**3
Suppose 0 = -106*x - 210017 + 210335. Factor -57/2*k**2 + 0*k + 3/2*k**x + 0.
3*k**2*(k - 19)/2
Factor 0*m + 81/5*m**2 + 1/5*m**3 + 0.
m**2*(m + 81)/5
Let a = -110772 + 110776. Let g**5 - 1/3*g**a + 0*g**2 + 0 + 0*g + 0*g**3 = 0. What is g?
0, 1/3
Let h be 24/(-204) - 1228/(-34). Let n = 3 - -1. Solve -21*y**3 - 60*y + 12 - 7*y**4 - h + n*y**4 - 54*y**2 = 0.
-2, -1
Let u(j) be the first derivative of -4*j + 2*j**2 - 2*j**4 + 2/3*j**6 + 8/3*j**3 - 21 - 4/5*j**5. Suppose u(w) = 0. What is w?
-1, 1
Let t(w) = 7*w**3 + w**2 - 3*w - 6. Let p(x) = -2*x**3 + 1. Let r(k) = -4*p(k) - t(k). Let h be r(0). Factor -2*m**3 + 1/4*m**h + 0 + 0*m + 4*m**4.
m**2*(4*m - 1)**2/4
Let q = -756 + 1316. Find m such that -q*m - 38 - 282 + 511*m**3 + 39*m**3 + 10*m**5 - 155*m**4 + 475*m**2 = 0.
-1, -1/2, 1, 8
Let n(g) be the third derivative of g**6/120 + 81*g**5/20 - 123*g**4/4 + 1657*g**2. Factor n(b).
b*(b - 3)*(b + 246)
Let r(u) be the second derivative of 52*u**6/165 + 79*u**5/22 - 201*u**4/11 + 436*u**3/33 - 40*u**2/11 - 1671*u. Suppose r(o) = 0. Calculate o.
-10, 2/13, 1/4, 2
Suppose -n = n - 10. Let z be -17 + 22 - -17 - 5. Solve -80*x**n + 20*x**3 + x**4 + 84*x**5 - 8*x**2 - z*x**4 = 0 for x.
0, 1, 2
Suppose 2*a = 2*m + 2, 3*m + 3*a = -155 + 176. Let b(l) be the first derivative of -16 + m*l**2 - 2/3*l**3 - 4*l. What is y in b(y) = 0?
1, 2
Let n(s) be the second derivative of -s**6/345 - 2*s**5/115 + 16*s**3/69 + 16*s**2/23 + 1821*s. Determine h so that n(h) = 0.
-2, 2
Let i(b) be the second derivative of 0 + 5/6*b**3 - 1/24*b**6 - 1/12*b**5 + 5/24*b**4 - 2*b**2 + 19*b. Let p(m) be the first derivative of i(m). Factor p(l).
-5*(l - 1)*(l + 1)**2
Let b(n) = 21*n**3 - 405*n**2 - 444*n. Let v(c) = -5*c**3 + 101*c**2 + 110*c. Let t(d) = -2*b(d) - 9*v(d). Solve t(i) = 0.
-1, 0, 34
Let a(j) be the second derivative of -j**4/12 - j**3/6 + 3*j + 19. Let d(m) = -3*m**3 + 7*m**2 - 5*m. Let p(l) = 5*a(l) - d(l). Let p(u) = 0. What is u?
0, 4
Let d(r) = 431*r + 6. Let u be d(0). Let c(h) be the second derivative of 1/70*h**u + 0*h**2 + 1/28*h**4 - 12*h + 0 + 0*h**3 + 3/70*h**5. Factor c(x).
3*x**2*(x + 1)**2/7
Let k(j) be the third derivative of j**7/42 - 40*j**6/3 - 967*j**5/12 - 1615*j**4/12 + 12*j**2 + 2*j - 242. Factor k(u).
5*u*(u - 323)*(u + 1)*(u + 2)
Let p = -889 - -914. Suppose 4*y + p*y = 58. Factor -2*s - 2/3*s**y + 0.
-2*s*(s + 3)/3
Find p, given that 881/5*p**2 + 354*p - 252/5 + 283/10*p**3 + 3/2*p**4 = 0.
-7, -6, 2/15
Let k = -39301/558 + 4477/62. Factor -2/9*t**3 + 0 - 4/9*t**2 + k*t.
-2*t*(t - 2)*(t + 4)/9
Let c be 20/(-18)*(72/54 - 654/450). Suppose -c*n**4 + 2/15*n**2 + 8/15*n - 8/15*n**3 + 0 = 0. What is n?
-4, -1, 0, 1
Factor -9/5*g - 22/5 + 1/5*g**2.
(g - 11)*(g + 2)/5
Suppose 459 - 289 = -39*y + 248. Solve 1/3*k**y + 64/3 - 16/3*k = 0 for k.
8
Let j(q) be the second derivative of -q**4/4 - 191*q**3/2 - 6337*q. Solve j(m) = 0 for m.
-191, 0
Let z(c) be the first derivative of c**6/180 + c**5/15 + 19*c**3 + 26. Let y(t) be the third derivative of z(t). Factor y(k).
2*k*(k + 4)
Suppose 10*d - 5*s = 8*d + 21, 2*d - 3 = -s. Let c(y) be the first derivative of 0*y - 1/3*y**2 + 1/9*y**d + 10. Let c(a) = 0. What is a?
0, 2
Let o = 246 + -234. Let z(x) be the third derivative of 0*x + 0*x**5 + 0*x**4 + 0*x**3 + 0 - 1/672*x**8 + 1/140*x**7 + 0*x**6 - o*x**2. Factor z(f).
-f**4*(f - 3)/2
Let d(v) be the third derivative of -6*v**3 + 7 + 1/4*v**5 + 3/40*v**6 - 2*v**4 + 0*v + v**2. Factor d(z).
3*(z - 2)*(z + 3)*(3*z + 2)
Let h be (-74 - -3) + 72 + 1. What is n in 132/7 + 144/7*n**3 + 400/7*n + 4/7*n**4 + 408/7*n**h = 0?
-33, -1
Let l(n) be the second derivative of 25/24*n**4 + 5/6*n**3 - 15/2*n**2 + 11*n + 1/3*n**5 + 0. Let d(r) be the first derivative of l(r). Factor d(c).
5*(c + 1)*(4*c + 1)
Let z(h) be the second derivative of -2*h**6/15 - 61*h**5/5 - 371*h**4 - 3618*h**3 - 8748*h**2 - 2058*h - 2. Suppose z(n) = 0. Calculate n.
-27, -6, -1
Let g = 79064/6531 - -301/933. Factor -33/7*x**2 - 54/7 + g*x.
-3*(x - 1)*(11*x - 18)/7
Let d = -76 + 95. Find t, given that 4*t**3 - d*t**2 - 12*t**2 - t**2 + 64*t = 0.
0, 4
Suppose -168/17 + 2/17*z**2 + 88/17*z - 2/17*z**3 = 0. What is z?
-7, 2, 6
Let x = -696 - -483. Let l = 215 + x. Factor -4/7*n**l - 8/7*n + 12/7.
-4*(n - 1)*(n + 3)/7
Let j = -308 + 361. Factor 22 + 52*w - j + 51 + 5*w**2.
(w + 10)*(5*w + 2)
Let d(v) be the third derivative of -v**5/135 + 5*v**4/2 - 268*v**3/27 - 1280*v**2. Find p such that d(p) = 0.
1, 134
Suppose -7 = 3*z - 2*d + 59, -4*z - 111 = 5*d. Let c(g) = g**2 + 24*g + 2. Let h be c(z). Factor 4*b**4 - b + h*b + 12*b**2 - 4*b - 12*b**3 - b.
4*b*(b - 1)**3
Factor 353/2*p + 124609/4 + 1/4*p**2.
(p + 353)**2/4
Let k(h) = -65*h**2 + 550*h - 3540. Let a(c) = -8*c**2 + 70*c - 443. Let m(g) = -25*a(g) + 3*k(g). Factor m(y).
5*(y - 13)*(y - 7)
Let j(h) = -h**2 + 19*h - 86. Let f be j(8). Let b(w) be the first derivative of 2/13*w**4 + 0*w**3 - 16 + 0*w**f + 2/65*w**5 + 0*w. Factor b(v).
2*v**3*(v + 4)/13
Let m(j) = -24*j**3 - 212*j**2 - 380*j + 144. Let v(s) = -9*s**3 - s**2 + 2*s - 2. Let d(h) = m(h) - 4*v(h). Solve d(a) = 0.
-2, 1/3, 19
Let k be 2/7*1*(12 + 2). Let f be 0 + k - (-2060)/110. Suppose f - 2/11*q**3 - 150/11*q + 30/11*q**2 = 0. What is q?
5
Let l(r) be the second derivative of -680805*r**7/14 + 131733*r**6/2 - 122985*r**5/4 + 18015*r**4/4 + 380*r**3 + 10*r**2 + 187*r + 5. Solve l(w) = 0.
-2/123, 1/3
Let z(c) = -40*c - 239. Let l be z(-9). Let -20*a**4 + 108*a**2 + 2 - 20*a - 209*a**2 - 2 + l*a**2 + 5*a**5 + 15*a**3 = 0. Calculate a.
-1, 0, 1, 2
Let q be (-44)/(-20)*140/231. Suppose -q - 2*f**3 + 2*f + 2/3*f**2 + 2/3*f**4 = 0. Calculate f.
-1, 1, 2
Let u(h) be the second derivative of -h**5/15 + 16*h**4/9 + 2020*h. Suppose u(b) = 0. What is b?
0, 16
Let t(l) be the second derivative of -l**5/60 + 97*l**4/36 - 47*l**3/9 - 32*l**2 - 6763*l. Factor t(c).
-(c - 96)*(c - 2)*(c + 1)/3
Solve -57/4*d**2 - 27/2*d + 7/4*d**3 - 1/4*d**5 + 0 + 9/4*d**4 = 0 for d.
-2, -1, 0, 3, 9
Let r = -36477 - -109432/3. Factor r*w**5 + w**3 + 0*w - 4/3*w**4 + 0*w**2 + 0.
w**3*(w - 3)*(w - 1)/3
Let f = -29 + 29. Suppose -8 = -4*c, 3*l + 4*c - 23 = -f*l. Factor -12*k + 10 - 11*k + 31*k - 23*k + l*k**2.
5*(k - 2)*(k - 1)
Let w be 67/(14070/60) - (-278)/56. Let 3/4*b**3 - 9/4*b**4 - 3/4*b**5 + 0*b + w*b**2 - 3 = 0. What is b?
-2, -1, 1
Let j(x) be the second derivative of x**5/12 - 67*x**4/36 - 25*x**3/9 + 56*x**2/3 - 71*x - 11. Determine k so that j(k) = 0.
-8/5, 1, 14
Let m(g) = -153*g**3 - 1467*g**2 - 2210*g + 1214. Let b(t) = -128*t**3 - 1468*t**2 - 2212*t + 1216. Let s(i) = 5*b(i) - 4*m(i). Factor s(f).
-4*(f + 2)*(f + 51)*(7*f - 3)
Let w(s) be the second derivative of -44/9*s**3 - 484/3*s**2 - 1/18*s**4 - 1 - 3*s. Factor w(z).
-2*(z + 22)**2/3
Let v(k) be the first derivative of 0*k**3 + 1/3*k**4 + 121 + 0*k + 0*k**2 + 2/75*k**5. Factor v(r).
2*r**3*(r + 10)/15
Let m = 86 - 86. Factor 3*k**2 + m*k**2 - 1 + 8*k - 2*k - 8.
3*(k - 1)*(k + 3)
Let q(y) = y**2 - 7*y + 18. Let h be q(6). Let d be (-3)/h - (-2 + (-93)/(-60)). Factor -1/5*s**3 - d*s**2 + 1/5 + 1/5*s.
-(s - 1)*(s + 1)**2/5
Let p(c) be the third derivative of -c**6/40 + 47*c**5/10 - 91*c**4/2 + 180*c**3 - 2129*c**2. Suppose p(n) = 0. What is n?
2, 90
Suppose -8*a + 7*a = -n - 1, -4*a + 10 = 2*n. Let g be (172/112 + (-15)/(-20))*a. Find x such that g*x**2 - 12/7*x**3 + 0 - 16/7*x = 0.
0, 2/3, 2
Let l(q) be the first derivative of -17*q**6/840 - q**5/28 + q**4/84 - 19*q**2/2 - 20. Let f(z) be the second derivative of l(z). Factor f(v).
-v*(v + 1)*(17*v - 2)/7
Let j = 182 - 179. Let 26*d - 7*d - 112*d - 25 - 35*d**2 - 5*d**j + 0*d**3 + 38*d = 0. What is d?
-5, -1
Let y be (-44)/24 - (7 + 164/(-24)). Let g be 4 - 10/30*y. Factor -44/3*r - g - 2*r**2.
-2*(r + 7)*(3*r + 1)/3
Let y(u) = 20*u**3 + 6748*u**2 + 574485*u + 1122246. Le