3 + 0*u + 165 + 4/13*u**2. Suppose q(v) = 0. Calculate v.
-4, 0
Let b be (275/165)/((-5)/(-63)). Let r be ((-18)/b)/(93/(-42) - -2). Factor 8/3*i**2 + 4/9*i**r + 4/9 + 16/9*i**3 + 16/9*i.
4*(i + 1)**4/9
Let s(j) be the second derivative of -j**4/8 - 39*j**3/2 - 114*j**2 - j - 38. Factor s(l).
-3*(l + 2)*(l + 76)/2
Factor 52/3*v**2 - 1/6*v**3 + 437/6*v - 90.
-(v - 108)*(v - 1)*(v + 5)/6
Let t = -952 + 1533. Factor t - 5*x**2 - 285*x + 292 - 1153.
-5*(x + 1)*(x + 56)
Let b(r) be the first derivative of -r**3/33 - 460*r**2/11 - 919*r/11 - 1611. Factor b(u).
-(u + 1)*(u + 919)/11
Let r be 102/5338*(-1)/(-9). Let d = 1406/3297 + r. Factor 3/7*g**4 + 0*g - d*g**2 + 3/7*g**3 - 3/7*g**5 + 0.
-3*g**2*(g - 1)**2*(g + 1)/7
Let -4/5*u**3 - 68/5*u + 0 + 72/5*u**2 = 0. Calculate u.
0, 1, 17
Let f(q) be the third derivative of 0*q**3 + 1/70*q**7 - 13*q**2 - 1/40*q**6 - 1/20*q**5 + 0*q + 0 + 1/8*q**4. Let f(t) = 0. What is t?
-1, 0, 1
Let u(b) be the second derivative of 9*b**5/4 - 35*b**4/12 - 680*b**3/3 - 150*b**2 - 2*b - 35. Suppose u(a) = 0. What is a?
-5, -2/9, 6
Factor -2477*h**3 + 871*h + 710*h**2 + 2029*h + 2472*h**3 + 2920.
-5*(h - 146)*(h + 2)**2
Suppose -349 = 20*r + 131. Let n be (-292)/r - -2*(-1)/(-6). Factor n - 5*a + 1/2*a**2.
(a - 5)**2/2
Let o(g) be the second derivative of -2*g**7/49 - 37*g**6/105 - g**5 - 5*g**4/6 + 16*g**3/21 + 12*g**2/7 + 1068*g. Determine f, given that o(f) = 0.
-3, -2, -1, -2/3, 1/2
Suppose 3*j - 2*w - 2 = 0, 4*j - 186*w = -184*w + 4. Let y(v) be the first derivative of v**j + 0*v + 2/5*v**5 + 3/2*v**4 + 2*v**3 + 9. Factor y(b).
2*b*(b + 1)**3
Let p(c) = c**2 - 57*c + 109. Let f be p(2). Let b be (-3*5/9)/f. Factor -2/3 - 11/3*n - b*n**2.
-(n + 2)*(5*n + 1)/3
Let l = -222 - -490. Let p = 270 - l. Suppose 2/7*d + 2/7*d**p - 12/7 = 0. What is d?
-3, 2
Let w be 4158/396*20/105. Factor w*i**2 + 0*i**3 - 2/3*i**4 + 4/3*i + 0.
-2*i*(i - 2)*(i + 1)**2/3
Let p(r) be the first derivative of 5*r**3/12 + 575*r**2/4 + 570*r + 3411. Factor p(i).
5*(i + 2)*(i + 228)/4
Suppose -4*z = -4*g + 32, 4*g = 2*g - 5*z - 5. Find l, given that 2*l**5 - g*l**5 + 0*l**4 + 24*l**3 + 9*l**4 - 36*l**2 + 6*l**4 = 0.
-2, 0, 1, 6
What is j in -59/4*j + 15/2 - j**4 + 3*j**3 + 11/2*j**2 - 1/4*j**5 = 0?
-5, -3, 1, 2
Let f(s) be the third derivative of -s**6/80 + 9*s**5/20 - 129*s**2 + 8*s. Let f(i) = 0. What is i?
0, 18
Let w(l) = -l**3 - 11*l**2 + 31*l + 67. Let b be w(-13). Let p(y) be the first derivative of -1/21*y**3 - 9/7*y - 11 + 3/7*y**b. Suppose p(u) = 0. Calculate u.
3
Let k be 30/7 - (-18)/(-63). Suppose k*j - 2*t - 28 = -t, -20 = 5*t. Suppose -6*d**2 - 7*d**2 + 4*d**2 - 9*d**3 + 6*d**4 + j*d = 0. What is d?
-1, 0, 1/2, 2
Factor 7276 + 34603*b - 69682*b + 13091*b + 3720 - 8*b**2.
-4*(b + 2749)*(2*b - 1)
Solve 38 + 1/3*l**3 - 12*l**2 - 79/3*l = 0 for l.
-3, 1, 38
Let x(d) be the second derivative of d**7/126 - 11*d**6/9 + 177*d**5/20 - 313*d**4/18 - 214*d**3/9 + 140*d**2 - 4510*d. Suppose x(l) = 0. What is l?
-1, 2, 105
Let f = -466 + 468. Let a(s) = 2*s**2 + 176*s - 200. Let m(i) = i - 2. Let z(v) = f*a(v) - 44*m(v). Find h such that z(h) = 0.
-78, 1
Let s(g) be the second derivative of -g**4/8 + 43*g**3/4 + 135*g**2/2 + g + 412. Find z such that s(z) = 0.
-2, 45
Let f(m) be the third derivative of -m**5/60 - 17*m**4/8 + 53*m**3/3 + 3786*m**2. Let f(y) = 0. What is y?
-53, 2
Let k(y) be the first derivative of -y**5/30 - y**4/12 - 3*y**2 + 6*y + 48. Let o(v) be the second derivative of k(v). Factor o(j).
-2*j*(j + 1)
Let g(p) be the first derivative of -p**7/5460 + 2*p**6/585 + p**5/195 - 8*p**4/39 + 26*p**3/3 + 47. Let y(l) be the third derivative of g(l). Factor y(k).
-2*(k - 8)*(k - 2)*(k + 2)/13
Let b(d) be the first derivative of -3*d**4/4 + 513*d**3 + 3087*d**2/2 + 1545*d + 3946. Suppose b(i) = 0. Calculate i.
-1, 515
Let g = -51293 - -51296. Factor 96/5 + 3/5*x**g + 96/5*x + 6*x**2.
3*(x + 2)*(x + 4)**2/5
Let n(f) be the second derivative of -46*f + 0*f**4 - 1/49*f**7 + 0 + 0*f**6 + 0*f**2 + 3/35*f**5 - 1/7*f**3. Factor n(u).
-6*u*(u - 1)**2*(u + 1)**2/7
Factor 20/3*l + 94/5 + 2/15*l**2.
2*(l + 3)*(l + 47)/15
Let p(l) be the first derivative of l**3/6 - 7*l**2/2 - 60*l - 81. Let p(i) = 0. What is i?
-6, 20
Let b = -730/33 - -820/33. Factor -b*o**2 + 102/11*o - 36/11.
-6*(o - 3)*(5*o - 2)/11
Let w(j) be the third derivative of j**9/12096 - 5*j**8/4032 + j**7/126 - j**6/36 + 13*j**5/15 + 63*j**2. Let y(c) be the third derivative of w(c). Factor y(s).
5*(s - 2)**2*(s - 1)
Let p(w) be the third derivative of -w**8/840 + 4*w**7/105 + 33*w**6/100 - 29*w**5/75 - 82*w**4/15 - 64*w**3/5 - 1532*w**2 + 3*w. What is j in p(j) = 0?
-4, -1, 2, 24
Let c(k) be the first derivative of k**6/168 - k**5/280 - k**4/14 + 17*k**3 - 83. Let s(i) be the third derivative of c(i). Factor s(q).
3*(q - 1)*(5*q + 4)/7
Let i = 2700145/11 - 245467. What is f in 24/11*f**2 + 62/11*f**3 - i*f**4 - 62/11*f - 16/11 = 0?
-1, -1/4, 1, 8
Let f(t) be the third derivative of -t**6/600 - t**5/12 + t**4/120 + 5*t**3/6 - 687*t**2. Factor f(o).
-(o - 1)*(o + 1)*(o + 25)/5
Let o(v) be the second derivative of 41*v + 1/12*v**4 - 1/40*v**5 + 0 + 0*v**2 - 1/12*v**3. Factor o(p).
-p*(p - 1)**2/2
Find h such that 2/9*h**4 + 10/9*h**3 + 0 + 16/9*h**2 + 8/9*h = 0.
-2, -1, 0
Let w(q) = 2*q**3 - 396*q**2 + 399*q + 788. Let x(l) = -9*l**3 + 1582*l**2 - 1594*l - 3146. Let k(u) = 13*w(u) + 3*x(u). Solve k(f) = 0.
-403, -1, 2
Let w be -5 - (56/(-16) - 1/(-2)). Let f be (-40)/(-8)*(-1 - 0 - w). Factor z**2 - z + z**2 - 52*z**5 + 53*z**f - 2*z**4.
z*(z - 1)**3*(z + 1)
Let z(i) = i. Let p(m) = -m**2 + 14*m + 11. Let c(q) = -p(q) + 2*z(q). Let s be c(13). Factor 0*l - 4*l**2 - 6*l + 0*l + 19*l**s - 9.
3*(l - 1)*(5*l + 3)
Suppose -486/19*j**4 + 0 + 0*j - 488/19*j**3 - 2/19*j**2 = 0. Calculate j.
-1, -1/243, 0
Factor -51/4*b + 57/8*b**2 - 3/8*b**3 + 0.
-3*b*(b - 17)*(b - 2)/8
Let j be 4/(-6)*((-6649)/12749 - 8/(-22)). Find d such that j*d**2 + 0 - 2/19*d**4 + 12/19*d + 2/19*d**5 - 14/19*d**3 = 0.
-2, -1, 0, 1, 3
Let q = -951/217 + 4289/434. Factor 7/6*m**3 + q*m**2 - 5/3*m + 0.
m*(m + 5)*(7*m - 2)/6
Let o(j) be the first derivative of 11 - 2/3*j**3 + 0*j - 4*j**2. Let o(s) = 0. Calculate s.
-4, 0
Let j(z) be the second derivative of -1/150*z**6 - 2/5*z**4 + 6*z - 2/25*z**5 - 8/5*z**2 + 0 - 16/15*z**3. Suppose j(n) = 0. What is n?
-2
Factor -816/7 - 78/7*r + 3/7*r**2.
3*(r - 34)*(r + 8)/7
Let y(o) be the first derivative of 2*o**3/21 - 2*o**2 - 414*o/7 - 3120. Let y(k) = 0. What is k?
-9, 23
Let x(w) = -w + 6. Let v be x(0). Suppose 0 = -v*a - 10 + 28. Determine z so that -a*z**5 - 36/7*z**4 + 0 + 24/7*z - 18*z**2 + 159/7*z**3 = 0.
-4, 0, 2/7, 1
Let l = 21 + -19. Suppose 5*p + 34 = z, 0*z + 2*p = -3*z + 51. Factor 7*i + 93*i**l - 97*i**2 - z*i.
-4*i*(i + 3)
Let c(a) = 81 - 132 + 52. Let s(m) be the second derivative of -m**4 + 27*m**3/2 + 13*m**2 - m. Let p(j) = 5*c(j) - s(j). Determine b, given that p(b) = 0.
-1/4, 7
Let f(k) be the third derivative of -k**7/210 - k**6/60 + k**5/60 + k**4/12 - 26*k**2 - 33*k + 1. Suppose f(m) = 0. Calculate m.
-2, -1, 0, 1
Suppose -3*y + 85 = -59. Find b such that -y - 68*b**3 - 2088*b**2 - 129*b**3 - 48 - 127*b**3 - 880*b = 0.
-6, -2/9
Let d be (-6)/(-24)*(11 + 1). Let n(w) be the second derivative of -1/6*w**6 + 0*w**2 + 10/3*w**d + 5/12*w**4 + 16*w + 0 - w**5. Factor n(c).
-5*c*(c - 1)*(c + 1)*(c + 4)
Let g(y) = 3380*y - 20277. Let z be g(6). Let 10*v + 2*v**4 - 1/2*v**z - 7*v**2 - 4 - 1/2*v**5 = 0. Calculate v.
-2, 1, 2
Let s(h) be the first derivative of -2*h**3/33 + 91*h**2/11 + 184*h/11 - 471. Factor s(y).
-2*(y - 92)*(y + 1)/11
Let t = 1618 + -589. Determine z so that -69*z**4 - 297*z**3 - 3*z**5 + 63*z**3 - 2499*z - 336*z**3 - 1974*z**2 - t = 0.
-7, -1
Let a(o) = -46*o**2 - 110*o + 248. Let q(c) = 7*c**2 - c. Let m(y) = a(y) + 6*q(y). Determine s so that m(s) = 0.
-31, 2
Let p(c) = -3*c**2 + 122*c + 127. Let s(l) = 19*l**2 - 731*l - 763. Let f(r) = -39*p(r) - 6*s(r). Suppose f(j) = 0. Calculate j.
-1, 125
Let c(g) = 253*g**2 + 31*g - 24. Let j be c(-7). Solve 33*d - 12154*d**2 + j*d**2 + 43*d - 78 = 0.
-39, 1
Let y be (0/(-2) - 0) + 2. Suppose -108 = 16*m - 52*m. Let 25*j - m*j**2 + 5*j**3 - 20 + 15*j - 22*j**y = 0. What is j?
1, 2
Let s(l) = -l**2 - 13