x(d). Let r be h(5). Solve r + 24/7*b**2 - 8/7*b - 10/7*b**3 = 0.
0, 2/5, 2
Suppose 28/11*q**2 - 98/11*q + 68/11 + 2/11*q**3 = 0. Calculate q.
-17, 1, 2
Factor -3/5*o**3 + 3*o**2 + 225 + 75*o.
-3*(o - 15)*(o + 5)**2/5
Let u = 4563 + -4552. Let m(n) be the second derivative of 1/18*n**3 + 0 + 1/18*n**4 + u*n + 1/60*n**5 + 0*n**2. Let m(j) = 0. What is j?
-1, 0
Factor -32 - 34*r**2 + 0*r**3 + 2/3*r**4 - 196/3*r.
2*(r - 8)*(r + 1)**2*(r + 6)/3
Let v = -12239/12 - -1020. Let j(h) be the third derivative of 5/4*h**4 - 3*h**2 - 25/6*h**3 + 0*h + 0 - v*h**5. Factor j(x).
-5*(x - 5)*(x - 1)
Let m(a) be the third derivative of -a**7/420 + a**6/6 - 33*a**5/10 - 10*a**4/3 + 400*a**3/3 - 9*a**2 - 30*a. What is c in m(c) = 0?
-2, 2, 20
Let m(d) be the first derivative of -d**3 + 129 + 1/4*d**4 - 13/2*d**2 + 15*d. Factor m(c).
(c - 5)*(c - 1)*(c + 3)
Let w(h) be the first derivative of h**4 + 3688*h**3 + 3819840*h**2 - 15323648*h - 13384. Factor w(s).
4*(s - 2)*(s + 1384)**2
Let k be 40/5*-15*38/(-1140). Factor -335/2*l - 2560*l**k - 2640*l**3 - 21/2 + 128*l**5 - 1000*l**2.
(l - 21)*(4*l + 1)**4/2
Let q(c) be the first derivative of -4*c**6/15 + 5*c**5/2 - 13*c**4/3 + 5*c**3/3 + 83*c + 108. Let t(r) be the first derivative of q(r). Solve t(y) = 0.
0, 1/4, 1, 5
Solve -5234/11*p - 14/11*p**2 + 68 = 0 for p.
-374, 1/7
Factor -278 - 56*n - 5*n**2 + 544 + 51*n + 0*n**2 + 644.
-5*(n - 13)*(n + 14)
Let x = -377 + 382. Determine r so that -12005 - x*r**2 - 365*r + 527*r + 328*r = 0.
49
Let x(m) be the first derivative of 4*m**3/15 - 1836*m**2/5 - 3676*m/5 + 2189. Factor x(s).
4*(s - 919)*(s + 1)/5
Let r(g) be the second derivative of g**4/84 + 9*g**3/14 - 2*g**2 - 5*g - 8. Factor r(q).
(q - 1)*(q + 28)/7
Let k be (30 - 9) + -8 + -10. Let f(p) be the first derivative of -1/12*p**k + 6 + 1/4*p**2 + 3/4*p. Factor f(b).
-(b - 3)*(b + 1)/4
Let h(q) be the second derivative of -q**6/40 - 33*q**5/2 - 33033*q**4/8 - 449878*q**3 - 96498831*q**2/8 - 361*q + 2. Suppose h(t) = 0. What is t?
-143, -11
Let s(g) = 90*g**2 + 3720*g - 7480. Let x(o) = 17*o**2 + 744*o - 1496. Let f(r) = -3*s(r) + 16*x(r). Factor f(d).
2*(d - 2)*(d + 374)
Factor 35/2*x + 5/2*x**2 - 20.
5*(x - 1)*(x + 8)/2
Let w(t) be the first derivative of -2*t**5/95 + 173*t**4/38 + 350*t**3/19 + 527*t**2/19 + 352*t/19 - 588. Factor w(j).
-2*(j - 176)*(j + 1)**3/19
Factor -2/3*k**2 + 308/3 + 10*k.
-2*(k - 22)*(k + 7)/3
Let r(m) be the second derivative of 0 - 59*m - 8/5*m**3 + 0*m**2 - 1/60*m**4. Find u such that r(u) = 0.
-48, 0
Let a = -276465 - -276467. What is l in 7/2*l**a + 0*l + 0 + 1/8*l**3 = 0?
-28, 0
Let m(v) = v + 10. Let k be m(-9). Suppose a - 5 = -k. Determine f so that 4*f - 19*f**2 - 4*f**3 + 9*f**2 - 2*f**a + 12*f**3 = 0.
0, 1, 2
Find l such that -409/2*l - 70*l**2 + 137 - 1/2*l**5 + 205*l**3 - 67*l**4 = 0.
-137, -1, 1, 2
Let c(m) be the second derivative of m**5/50 - m**4/10 - 4*m**3/15 + 12*m**2/5 + 1157*m. Let c(z) = 0. What is z?
-2, 2, 3
Factor 2/5*b**2 + 40 + 104/5*b.
2*(b + 2)*(b + 50)/5
Let j(i) = 3*i**3 - 402*i**2 + 6*i. Let l(g) = 5*g**3 - 401*g**2 + 8*g. Let q(k) = 4*j(k) - 3*l(k). Solve q(f) = 0.
-135, 0
Determine l, given that 2/5*l**3 + 32/5*l**2 + 72/5*l - 288/5 = 0.
-12, -6, 2
Let y(h) = 3*h**2 - 24*h - 67. Let a be y(13). Let u = a - 126. Factor 2/3*n - 8/3*n**u + 0.
-2*n*(4*n - 1)/3
Let x(g) = 2*g**2 + g - 6. Let o be x(4). Let z be ((-2)/o)/(8/(-220)). Factor 1/6*p**4 - z*p**3 + 7*p**2 + 16/3 - 32/3*p.
(p - 4)**2*(p - 2)*(p - 1)/6
Solve 2/5*j**2 + 44 - 222/5*j = 0 for j.
1, 110
Let z(b) = 3*b - 36. Let x be z(12). Suppose 5*p - 6*c - 30 = 0, -4*p = -2*p - 2*c - 10. Suppose -2/9*q**3 + p*q - 4/9*q**2 + x = 0. What is q?
-2, 0
Let i(m) = -m**3 + 17*m**2 + 18*m + 8. Let p be i(18). Find k, given that -11 + 2*k**2 + 33 + 5*k - 32 + p*k**2 - 5*k**3 = 0.
-1, 1, 2
Determine w, given that 7840/3*w**2 + 122/3 - 128/3*w**3 - 1954/3*w = 0.
1/8, 61
Let u(g) = g**2 + 3*g. Let a(k) be the third derivative of 0*k + 0 + 0*k**3 - 1/24*k**4 - 16*k**2. Let j(c) = 6*a(c) + 2*u(c). Factor j(w).
2*w**2
Let a = -218 + 223. Let -7*p**4 - 6*p + 0*p**4 + 14*p**a + p**3 - 9*p**5 + 17*p**2 - 10*p**4 = 0. What is p?
-1, 0, 2/5, 1, 3
Let a(l) = -l**2 + 10*l - 19. Let u be a(3). Suppose -2*y - 5*o + 9 = 0, 2*o - 14 = -5*y - u. Solve 16/5*x + 8/5 + 2*x**y + 2/5*x**3 = 0.
-2, -1
Let s(m) be the first derivative of -m**4/2 + 302*m**3/3 + 1085. Factor s(u).
-2*u**2*(u - 151)
Let o(k) be the third derivative of k**7/2160 + 47*k**6/4320 - 7*k**5/360 + k**4/6 - 3*k**3/2 + 74*k**2. Let g(x) be the second derivative of o(x). Factor g(t).
(t + 7)*(7*t - 2)/6
Let n(j) be the first derivative of 5*j**3/3 + 1185*j**2/2 - 1190*j - 2058. Determine t so that n(t) = 0.
-238, 1
Suppose 5*n + 3*t - 76 = 0, 5*n - 3 = -5*t + 77. Let y = n + -10. Find d such that -y*d**3 + 12*d**2 - 2*d + 8*d - 8*d - 6*d = 0.
0, 1, 2
Let r(v) be the second derivative of -v**6/30 - 3*v**5/2 - 19*v**4/4 - 14*v**3/3 + 1062*v. Factor r(z).
-z*(z + 1)**2*(z + 28)
Let v(l) be the second derivative of 1/3*l**4 + 11*l - 1/40*l**5 + 1 + 19/12*l**3 + 5/2*l**2. What is z in v(z) = 0?
-1, 10
Let f = 63 - 53. Let k(c) = -3*c + 32. Let r be k(f). Find l, given that -13*l + 13 - 1 + 3*l**2 - r*l = 0.
1, 4
Suppose 76 = 20*a - 144. Let b be (a + -5 + -9)/(1/(-2)). Determine o so that 2 + 9/2*o**4 - b*o - 13/2*o**2 - 7/2*o**5 + 19/2*o**3 = 0.
-1, 2/7, 1, 2
Let w(v) be the first derivative of 0*v**3 - 21 + 2/25*v**5 - 1/20*v**4 + 0*v + 0*v**2 - 1/30*v**6. Factor w(s).
-s**3*(s - 1)**2/5
Let n(p) be the first derivative of 2*p**3/3 - 16*p**2 + 120*p - 217. Factor n(j).
2*(j - 10)*(j - 6)
Let a(d) = -23*d**3 - 2280*d**2 + 173269*d - 4389771. Let g(k) = -4*k**3 - 456*k**2 + 34654*k - 877954. Let v(q) = -2*a(q) + 11*g(q). Factor v(i).
2*(i - 76)**3
Let o(r) be the second derivative of -r**4/6 - 505*r**3/3 + 506*r**2 - 14*r - 35. Factor o(h).
-2*(h - 1)*(h + 506)
Let a be (305 + -301)*6/8*1. Suppose -4*q - 308 = -3*b, 5*b + 4*q - 76 = 4*b. Factor -b*k - 1/2*k**a - 12*k**2 - 256.
-(k + 8)**3/2
Let n = -2575/18 + 1288/9. Let h(j) be the third derivative of -n*j**3 + 0*j + 1/720*j**6 + 18*j**2 - 1/90*j**5 + 0 + 5/144*j**4. Factor h(m).
(m - 2)*(m - 1)**2/6
Suppose 1064*v + 1052*v - 72 = 2092*v. Factor -2*r**4 + 2/7*r**5 + 0 + 12/7*r**v + 0*r**2 + 0*r.
2*r**3*(r - 6)*(r - 1)/7
Factor -245025/2 - 1/2*v**2 - 495*v.
-(v + 495)**2/2
Let c be (292/20 - 8)/(9/530). Let f = c + -386. Determine p, given that f*p - 16/15*p**3 + 8/5 - 58/15*p**2 + 2/3*p**4 = 0.
-2, -2/5, 1, 3
Let f = -1088 + 1082. Let s be ((-294)/50 - f)/((-1)/(-15)). Find t, given that -3*t + 3/5*t**2 + s + 3/5*t**3 = 0.
-3, 1
Let t(l) = -l**2 + 32*l - 109. Let m be t(28). Factor -42*g**2 - 61 + 3*g**5 + 52 - 118*g**3 + 3*g**4 + 100*g**m - 33*g.
3*(g - 3)*(g + 1)**4
Suppose -32 = -27*q + 103. Let b(r) be the third derivative of 1/16*r**4 - 1/3*r**3 + 1/120*r**q + 13*r**2 + 0*r + 0. Let b(h) = 0. What is h?
-4, 1
Let d(o) be the second derivative of -3*o**5/100 + 9*o**4/20 - 12*o**3/5 + 24*o**2/5 - 12*o + 4. Factor d(k).
-3*(k - 4)**2*(k - 1)/5
Let l(z) = -2*z**2 - 11*z - 9. Suppose -6*y - 4*y = 40. Let n be l(y). Factor -n*k - 9*k - 3*k**2 - 7 - 5 + 0.
-3*(k + 2)**2
Let a(j) be the first derivative of j**5/25 - 4*j**4/15 + 2*j**3/5 + 36*j + 11. Let r(n) be the first derivative of a(n). Factor r(c).
4*c*(c - 3)*(c - 1)/5
Let m(n) be the second derivative of 0 - 1/4*n**4 - 19*n - 2*n**3 + 0*n**2 + 3/40*n**5. Factor m(y).
3*y*(y - 4)*(y + 2)/2
Suppose 0 = -9*l - 43 + 160. Let o = l + -1. Suppose 3 - 2*z**4 + 236*z**3 - 242*z**3 + 3*z**4 + o*z**2 - 10*z = 0. What is z?
1, 3
Suppose -1574*x + 2696*x**3 - 9312*x**2 - 26*x + 5979*x - 2592 + 41*x**5 - 27*x**5 - 326*x**4 + 7141*x = 0. What is x?
2/7, 2, 6, 9
Suppose 0 = 10*o - 6*o - 164. Suppose 5*d - 65 = 5*p, -3*d + 2*p = -2*p - o. Factor 50*c**2 - 12*c**4 - 44*c**2 + d*c**3 - 32*c**3.
-3*c**2*(c + 2)*(4*c - 1)
Suppose 3*m - 59 = 1. Factor -3*u + m*u**2 + 27*u**2 - 44*u**2.
3*u*(u - 1)
Let c(v) be the second derivative of -3*v**5/40 + 63*v**4/8 - 119*v**3/4 - 549*v**2/4 - 8*v - 15. Let c(z) = 0. Calculate z.
-1, 3, 61
Let x = 201 + -196. Let 20*v + x*v**2 - 16*v + 2*v**2 = 0. Calculate v.
-4/7, 0
Let q(m) be the first derivative of 2541*m**2 + 130438*m + 1/14*m**4 + 22*