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What is 11 + 603/(-54) + 50/84? 3/7 What is (2 + 28/(-8))*(-88)/(-594)? -2/9 Calculate (75 - 63)/(1*4). 3 Evaluate (19/(228/16))/(4/6). 2 3/(-2) + (-1)/(-2) -1 What is the value of (1 - 26/16) + (-7)/(-14)? -1/8 (-4 + 2)*(3 - 11/2) 5 What is 5*3 - 9/((-189)/(-147))? 8 Calculate -1*(0 - (-6)/(-14))*-7. -3 Calculate -15*9/(-45) - 10. -7 What is (8/(-140))/(4*(-3)/(-60))? -2/7 Calculate (-2)/5 - ((-198)/(-5))/11. -4 Calculate (-100)/12 + 10/(-15) + 6. -3 Evaluate 28/35 + 3/105*-48. -4/7 What is (((-49)/7)/(-14))/2? 1/4 (-1)/21 + 2/(14 + -8) 2/7 Calculate 9/(-12)*-2*(-4)/36. -1/6 (10/4 - 3) + (-1)/4 -3/4 Evaluate ((-234)/130)/(2/(-10)). 9 What is ((-504)/10)/(-6) + (-51)/(-85)? 9 25/(-125) + (-186)/(-80) + -2 1/8 What is the value of (-2)/(-9) - (-64)/36? 2 What is the value of (-3)/(-2)*-4 + 99 + -93? 0 Calculate 2/(-10 + 4)*0. 0 (0 - 8/32)/1 -1/4 630/189 - 4/(-6) 4 What is ((-210)/(-36) + -6)*2*1? -1/3 Evaluate (8/3)/(-2*(-1)/3). 4 What is the value of -3 - 53*5/(-85)? 2/17 Evaluate (1 - (-35)/15)/(2/(-3)). -5 What is 1/7 - (-2 + 70/147)? 5/3 Calculate 0 - (-3 - (-2 + 0)). 1 Evaluate 4 - 16/20*(-57)/(-12). 1/5 5 - -9*15/(-25) -2/5 (0 - 5) + 1 + (-4 - -6) -2 What is the value of (-6 - -5)*((-1)/(-2))/1? -1/2 (3 - (-5)/(-2))/(1/2) 1 Calculate (6/(-15))/(1/(-3 - -2)). 2/5 Evaluate (-2 - (-40)/14)/((-12)/42). -3 What is the value of (-3)/21 + 1989/546? 7/2 Evaluate 50/(-20)*(-1)/10. 1/4 Evaluate ((-1)/9)/(8/(-24)). 1/3 What is the value of ((-546)/65)/7*(-2)/4? 3/5 What is (38/10 + -2)*20/6? 6 What is ((-9)/42 - 0)/(9/(-12))? 2/7 What is the value of 7/(-4) + (23 - 21)? 1/4 (1/(5/2))/((-40)/(-50)) 1/2 Calculate (46/115)/(18/(-10)). -2/9 What is 2/(-4) + ((-126)/12 - -4)? -7 What is (-2)/5 - 3328/(-3120)? 2/3 What is 2/1 + (1 - (-9 + 9))? 3 What is the value of ((-9)/(-180)*-2)/(2/(-6))? 3/10 Evaluate ((-6)/105)/(9/(-5) + 2). -2/7 What is the value of (-28)/(-16)*-3*(-6)/21? 3/2 What is the value of 4/(1*(-20)/35)? -7 Calculate (-4)/10*(-155)/(-124)*14. -7 What is ((-2)/((-4)/(-9)))/(189/252)? -6 Evaluate 4/14 + 416/(-280). -6/5 (0/5 - -4)/(-3) -4/3 18/(-90) + (-156)/20 -8 What is the value of (36/(-14))/(132/(-308))? 6 What is the value of -6 - 0 - 44/(-7)? 2/7 What is the value of (-2)/(2*-1 - 408/(-153))? -3 Evaluate 3/(-4)*(-2)/3. 1/2 Evaluate (-2 + 0)*(-5)/300*-6. -1/5 120/(-75) - (-5)/((-50)/(-6)) -1 Calculate 6/(-1) + (-3127)/(-531). -1/9 (4 - (-55)/(-10))/27*-3 1/6 Calculate (-3 + 20/8)/(5/(-10)). 1 (-1)/5 + (-72)/90 -1 What is the value of (6/(-15))/((-11)/33)? 6/5 Calculate ((-32)/(-88))/(8 - 6). 2/11 (-2 - -1)*(1 + -3 - -3) -1 (-1)/(-5)*(30 - 33) -3/5 Evaluate (-16)/(-40)*(7/2 - 1). 1 Evaluate ((-11968)/112)/(-17) + (-4)/14. 6 Calculate (-2 + 38/18)/(1 - 2). -1/9 Calculate (-7)/((-9)/(-1 - -10)). 7 What is 6/1*(6/2)/(-12)? -3/2 (123/(-164))/(-1 + (-17)/(-8)) -2/3 (215/15 + -14)/(2/3) 1/2 (-9)/((-567)/77) - 1 2/9 What is (-2)/(-2) + (-8)/2 + 1? -2 Calculate (-2520)/560*(1 + -2 + 3). -9 Evaluate 6 - -6*(1 - 9/6). 3 Evaluate -232*(-3)/66 + -10. 6/11 What is the value of 2/4 + 1/(-2) + 3? 3 2 + ((-58)/20 - 12/(-30)) -1/2 What is the value of 14/3 + 12/10*-5? -4/3 Calculate 11 - 8 - 1/5*12. 3/5 What is the value of (-2)/(-5)*(10 + (-51)/6)? 3/5 Calculate 4/(-14) + (-3 - 232/(-28)). 5 Calculate (40/480)/(-1 - (-7)/4). 1/9 Calculate ((-15)/10)/((-9)/(-4)). -2/3 What is (-574)/784 + (-6)/(-7)? 1/8 What is the value of 90/(-12)*(-8)/12*1? 5 Calculate -3*(-3)/(-9)*1/(-2). 1/2 Calculate (672/(-840))/((-68)/(-10)). -2/17 Calculate (8*7/56)/(-3). -1/3 What is (13/(-65))/(4/(-6))? 3/10 Calculate (0 + -3)/(54/24*2). -2/3 Calculate -3*(1 + 0) - 2. -5 What is 3/(-8) - 26*(-3)/(-48)? -2 Evaluate (-5)/((-10)/14) + -7 + -4. -4 Calculate (1/(-3))/((-23)/(-345)). -5 What is (-6)/(-4) + (-34)/12? -4/3 Evaluate (-140)/7 + 15 - 46/(-10). -2/5 What is -4 - -11 - (3 + 0)? 4 (0 + 6)/(495/(-30)) -4/11 What is 112/40 + (-1 - (3 - 0))? -6/5 What is (-204)/36 - (0 - 5)? -2/3 Calculate (7/((-147)/(-70)))/((-2)/(-3)). 5 Calculate 7 - (-40)/8*-2. -3 (2/7)/((-1)/(-7)) 2 What is the value of (188/28 - 7)/(6/28)? -4/3 What is the value of 12/(-32)*40/60? -1/4 11 + (1 - 14 - -10) 8 What is the value of (11 - (-6510)/(-594)) + (-4)/18? -2/11 What is (6/(-21))/(((-24)/(-7))/(-4))? 1/3 What is the value of -6*(-3 - -2) - (-8 - -13)? 1 What is the value of (-1110)/90 + (-4)/(-3)? -11 5/10*-2 + 2 1 What is ((-5)/35)/(205/20 - 10)? -4/7 What is ((-35)/10 + 2)/((-21)/126)? 9 Evaluate -2*((11 - 8) + -4). 2 21/(-55) + (-3)/(-15) -2/11 Evaluate (-8 - (-7 + -6)) + 86/(-16). -3/8 (-124)/30 - 2/(-15) -4 (-198)/(-22) - 669/75 2/25 9/(-5) - (-6)/(-5) -3 What is the value of 10/(-25) - (2 - 5) - 3? -2/5 Evaluate 3 + 161/(-49) - (-44)/7. 6 (-15)/(420/64) - -2 -2/7 What is the value of 39/(-26) - 21/(-6)? 2 What is the value of 2/(-11) - (-266)/1463? 0 What is the value of (-120)/140*(-2)/(2 - -2)? 3/7 (216/(-27))/((-1)/(3/30)) 4/5 What is the value of (48/27 - 2)/(14/(-7))? 1/9 What is 18/27 + (-8)/12? 0 What is (-21)/(-49) - -5 - 6? -4/7 Calculate 32/(-32)*(-1 - -2). -1 What is the value of ((-8)/(-10))/(3/((-45)/(-42)))? 2/7 -4*((-117)/18 - -7) -2 Calculate (8/(-42))/(52/(-39)). 1/7 What is (-17)/(-51) + (2 - 2/(-3))? 3 What is the value of (-5 - -1)/((-3 + 2)*1)? 4 Evaluate (-2)/((-3)/(-6) - 441/210). 5/4 Evaluate 219/584 - 25/24. -2/3 What is -5 - (3 - 74/9)? 2/9 What is 15/75*15/24? 1/8 Evaluate ((-30)/(-8))/(-6 - (-216)/32). 5 What is the value of ((-1)/(-5))/((-15)/(-75))? 1 What is the value of 0 - (-10 + 0) - 7? 3 Calculate 3*3/(-9)*0/1. 0 2 + (-185)/40 + (-9)/24 -3 Evaluate (-352)/528 - 13/3. -5 What is -2 + 5/(-2)*(-48)/(-60)? -4 What is 12/(-16) + 164/112 + -1? -2/7 Evaluate 1 - ((-58)/(-4))/(1539/114). -2/27 Evaluate 1*((-45)/10)/9. -1/2 Evaluate (-1)/2 + 65/90. 2/9 What is ((-4)/(-12))/((-2)/(-3))? 1/2 What is 3724/(-17480) - 2/23? -3/10 Calculate 1*(-8)/(-6)*9/(-6). -2 Evaluate (-640)/256*((-2)/(-5))/1. -1 Calculate (10/(-6))/((-15)/27). 3 What is 1*14*4/(15 + -7)? 7 What is the value of ((-36)/(-108))/(2/(-36))? -6 What is the value of (14/6)/(2/6)? 7 Calculate -10*(8 - 2005/250). 1/5 What is (-4 + 6)*14/4? 7 What is the value of (-4)/(36/(-45)) + 0? 5 (-32)/(-128) - (-2 - 123/(-12)) -8 Calculate (-16)/10 - (-14)/(-35)*1. -2 -2 + (-82)/(-60) + 7/14 -2/15 Calculate -10*(-2)/12 - (-2)/(-1). -1/3 2/3*((-195)/(-10))/13 1 Calculate ((-10)/420*-6)/(4/42). 3/2 16/7 + 2 - 3 - 1 2/7 What is 7 + (172/(-12) - (-32)/4)? 2/3 Calculate ((-3)/3)/(3 + (-77)/28). -4 Calculate (-99)/44*(-1 - (-16)/18). 1/4 (-7)/(-10)*(-56)/(-98) 2/5 What is the value of (-4 - 390/(-36)) + -6? 5/6 What is (-2)/16 - 34/(-16)? 2 What is (4/26 - 76/(-13)) + -4? 2 Evaluate ((-110)/(-44))/(2*(-2)/8). -5 ((-4)/3)/((-29)/(-87)) -4 Evaluate (-20 - -25)*(-2 + 1). -5 Evaluate (-270)/60*2/(-12). 3/4 Evaluate (-5)/(-100) + (-4)/16. -1/5 What is the value of (3/(-21))/((-16)/16)? 1/7 What is the value of 4/(-35)*(-15)/6? 2/7 What is the value of 3/(3/(-4)) + -2 + 3? -3 What is the value of (7 + 399/(-56))*10/15? -1/12 Evaluate -1*(-3)/(2 - (-6)/(-12)). 2 0*(30/(-5))/30 0 (1 + -2)/((-60)/(-8 + 20)) 1/5 Calculate ((-88)/(-396))/((-1)/36). -8 ((-12)/(-10))/(-4 - -3) -6/5 What is (-21)/(-14)*2/(-5)? -3/5 Calculate 1/5*2*10*-1. -4 What is ((-4)/7)/(560/98 + -6)? 2 Calculate (-22)/(-276) + -7 + (-164)/(-24). -2/23 Calculate 0/((-6)/4*(-22)/33). 0 Evaluate 6*6/6*2/(-8). -3/2 What is 15/6*((-3)/5 + 1)? 1 Calculate 3*12/63 - (-26)/(-21). -2/3 What is the value of (-10)/(-20)*-4 + (-46)/(-24)? -1/12 Calculate (-230)/23 + (-106)/(-10). 3/5 What is the value of 1/7 - (-48)/56? 1 Evaluate (((-6)/2)/3)/1. -1 What is the value of (-36)/(-126)*14/(-10)? -2/5 Calculate ((-261)/348)/((-18)/(-16)). -2/3 3/(-3 + 9) + 5/(-10) 0 (1 - 8/12)*(15 - 0) 5 107/21 + (-26)/273 5 Calculate (-74)/(-232) - 126/504. 2/29 Evaluate 21/(-15) - -1 - (-170)/175. 4/7 Calculate -207 + 208 + (-62)/58. -2/29 Evaluate (-2 - -4 - 2)*(-18)/(-72). 0 (2 + -12)*(-41)/(-164) -5/2 What is 3 + (-165)/24 - -4? 1/8 80/10*5/10 4 What is the value of ((-144)/80)/((-12)/(-40) - 0)? -6 Evaluate ((-2)/(56/(-18)))/(432/(-504)). -3/4 Calculate (2/4)/(-6 - 104/(-16)). 1 Evaluate (2 - 3)/1 + (-85)/(-119). -2/7 What is the value of ((-8)/9)/((-2)/3)? 4/3 (18 + -12 + 4)/(2 + 0) 5 7 - (-14)/2 - 10 4 Evaluate (-66)/(-18) - 4/6. 3 Evaluate 87*(-1)/10 + (-216)/720. -9 What is the value of (150/(-48))/((-40)/16)? 5/4 Calculate 2*((-4)/6)/((-170)/(-51)). -2/5 Calculate (504/(-924))/((-27)/22). 4/9 (0 - 1)/(((-28)/(-4))/(-7)) 1 What is (20/75)/(6/(-9))? -2/5 Evaluate 22/(-5) - (-8)/20. -4 ((-12)/(-18))/(6/9) - 0 1 What is the value of 9/3 + 4 + -9? -2 What is 1 - -8 - (-4 - -3)*-3? 6 What is the value of (-30)/(-120)*(-3)/((-54)/(-16))? -2/9 What is the value of 6/14*(-80)/(-30)? 8/7
Let d(r) = -r**2 + 15*r + 5. Let s be d(15). Let z(j) = 2*j + 4. What is z(s)? 14 Let y(a) be the third derivative of -a**5/60 + 5*a**4/12 + a**3/6 - 7*a**2. Give y(10). 1 Let f(c) = 5*c + 2*c + c**2 - 3*c + 29 - 31. Give f(3). 19 Let k(s) = s**3 + s**2 + 5. Let n(p) = -2*p**3 - 2*p**2 - 6. Let y(r) = -3*k(r) - 2*n(r). What is y(0)? -3 Let p = 7 - 13. Let q(g) = -6*g**3 - 6*g**2 + 2*g + 7. Let s = -30 + 17. Let c(d) = 12*d**3 + 13*d**2 - 4*d - 15. Let t(k) = p*c(k) + s*q(k). Give t(-1). -5 Let h(s) = 4*s + 2. Let x = -122 - -120. What is h(x)? -6 Let r = -11 + 15. Suppose r*q - 3*z = -2, 4*q + 2*z + 4 = 12. Let m(t) = -7*t. Give m(q). -7 Let h be (2 - -3 - 1) + (0 - 0). Let i(l) = -3*l + 5. What is i(h)? -7 Let q(u) = -7*u**2 + 4*u - 7. Let p(b) = 3*b**2 - 2*b + 3. Let r(c) = 5*p(c) + 2*q(c). Let g = 79 - 77. Determine r(g). 1 Let g = 14 - 9. Let x = 9 - g. Let w(u) = 5 + 4*u - u - x. Give w(1). 4 Let x(d) = d**2 + 8*d - 1. Let t be (-51)/7 - (5 + (-148)/28). What is x(t)? -8 Let w = 10 + -6. Let c(t) = t**3 + w*t**3 + 2 - 1 - t**2. Let g(u) = u**2 - 3*u + 1. Let x be g(3). Calculate c(x). 5 Suppose 5*r - 5*s = 11 + 19, 5*s + 10 = 0. Let h(g) = -g**3 + 4*g**2 + g - 5. Calculate h(r). -1 Let r(a) be the second derivative of a**4/12 - a**3/6 - a**2/2 - 6*a. Determine r(4). 11 Let a(d) = -d. Let o = 27 + -24. Give a(o). -3 Let h(o) = o**3 - 9*o**2 - o + 11. Let n be h(9). Let y(b) = 6 + 7*b**2 + 0*b**2 + 3*b**n - 4*b**2 + b + b**3. Give y(-6). 0 Let f(i) = i**3 + 2*i**2 + 5*i - 2. Let n be (5/4 - 2)*-4. Let m(x) = -n*x**2 + 0*x**2 - 4*x + 3 - 2*x**3 - 5*x. Let c(r) = -7*f(r) - 4*m(r). What is c(2)? 4 Let l(j) = j - 3. Let k(d) = 4. Let h(z) = 3*k(z) + 2*l(z). Let p be 17/(-4) + (-7)/(-28). Calculate h(p). -2 Let r(q) be the third derivative of q**8/6720 + q**7/630 + q**5/30 - q**4/8 - 2*q**2. Let c(m) be the second derivative of r(m). Give c(-4). 4 Let x(j) = -j**2 - 5*j + 2. Let q = 3 - 7. Determine x(q). 6 Let r(m) = -m - 10. Let s be ((-6)/2)/(6/(-4)). Let u(v) = -1. Suppose -28 = 7*q - 5*q. Let x(n) = q*u(n) + s*r(n). What is x(-6)? 6 Let b(h) = h**2 - 7*h - 7. Let i = 34 + -27. Give b(i). -7 Let f(y) = 32 + 30 + 2*y - 62. Let j = 1 - 3. Give f(j). -4 Let p(c) = 2*c**3 + 6*c + 2. Let q(z) = z**2 + z. Let v(i) = p(i) - 4*q(i). Determine v(2). 6 Let r(n) = -n**2 - 4*n - 3. Suppose l = -l + 30. Suppose -4*m - l = -39. Let c = m - 9. Determine r(c). 0 Suppose -3 = -4*m + m + 3*h, -3*m + 4 = -4*h. Let o(z) = -z - 4. Give o(m). -4 Let j be -3*(2 + -1) + 6. Let a(g) = g**2 - 2*g + 2. Let f be a(j). Let t(o) = -3 + 1 + 0 - o. Give t(f). -7 Let h(x) be the third derivative of x**8/20160 - x**7/2520 + x**6/720 - x**5/10 - 6*x**2. Let r(v) be the third derivative of h(v). What is r(-2)? 9 Let n(k) be the first derivative of -k**4/4 + 2*k**3/3 + 1. Let h be (-7)/(-3) + 2/(-6). What is n(h)? 0 Let c(j) be the first derivative of j**2/2 - 4*j - 8. Suppose 0 = 3*l + p + 4, 7*l + 16 = 3*l - 4*p. Let i be c(l). Let m(a) = 2*a + 6. Determine m(i). -2 Suppose 4*m - 24 + 8 = -4*c, 3*m - 24 = -5*c. Let x(z) = -z**3 + 6*z**2 - 2*z + 6. Give x(c). -6 Let o = -134 - -134. Let h(s) = -2*s + 3*s - 2*s - 5 + 5*s**2. Let f(j) = 4*j**2 - j - 4. Let v(t) = 6*f(t) - 5*h(t). Give v(o). 1 Let r(w) be the first derivative of -w**5/30 + w**4/12 - 2*w**2 - 1. Let j(x) be the second derivative of r(x). Determine j(2). -4 Suppose -6 = -4*b + 62. Suppose -3*x + 51 = -5*t - 0*t, t + b = x. Suppose -3*m - 2*d = -x, -3*m - 2*m = -3*d - 22. Let o(g) = -g - 1. Give o(m). -6 Let l = 12 - 7. Let z = -1 + l. Let g(k) = -1 - z - 4 - k. Determine g(0). -9 Let p(v) be the second derivative of -v**5/20 - v**4/4 - v**3/6 + 2*v**2 + v. Let s = -9 - -6. What is p(s)? 7 Let u(c) be the third derivative of c**4/12 - 5*c**3/6 - 4*c**2. Calculate u(5). 5 Let a = 1 + 1. Let q(r) = 5 - r - r**2 + 7*r + 2*r**a. Suppose 0 = -t - 4*n - 9, -n = -5*t + 3*n - 21. What is q(t)? 0 Suppose -4*s = -2*s - 8. Let a(k) = 3 + s*k + 2*k**2 - 8 + 4. Calculate a(-3). 5 Let y(w) be the second derivative of -w**5/20 + w**4/4 + w**3/3 + w**2/2 + 14*w. Determine y(3). 7 Let t(c) be the second derivative of 11*c**5/20 + c**4/6 + c**3/3 + c**2/2 + 9*c. Determine t(-1). -10 Suppose 4*v = 6*v - 4. Let s(k) = -3*k + 5 - k**2 + v*k + 0*k**2. Let z be (-2 + 3)*(1 - 1). Calculate s(z). 5 Let o(s) = s**3 - 9*s**2 + 9*s - 10. Let a be o(8). Let d = -2 - a. Let i = d + -4. Let l(t) = -t**2 - 3*t + 5. What is l(i)? 1 Let h(j) = -38 - 4*j + 5*j + 0*j + 39 + 2*j**3. Calculate h(2). 19 Let g(v) be the first derivative of -2*v**3/3 + v**2/2 + v - 2. Let w(t) = t**3 + 10*t**2 - t - 10. Let p be w(-10). Suppose -3*s + 4*s + 1 = p. Give g(s). -2 Let p(u) be the first derivative of u**5/60 - u**4/24 + u**3/2 - u**2/2 - 1. Let l(q) be the second derivative of p(q). Calculate l(0). 3 Let s(a) be the second derivative of a**5/20 - a**4/3 + 2*a**3/3 - 2*a**2 + 17*a. What is s(3)? -1 Let v(r) = 2*r - 3. Let t(q) = -q + 2. Let c(w) = -5*t(w) - 3*v(w). Let b = 1 + 2. Give c(b). -4 Let g(c) be the third derivative of c**5/60 - c**4/24 - c**3/2 + 15*c**2. Give g(0). -3 Let d(t) = -3*t + 9. Let w(j) = j**2 - 5*j + 3. Let v be w(5). Let u = v + 3. Calculate d(u). -9 Let i(d) = 3*d + 1. Let u(g) = -g - 4. Let q be u(-4). Let b = 5 + q. Let f(m) = 8*m + 4. Let t(w) = b*f(w) - 14*i(w). Determine t(4). -2 Let l(h) = -h**3 - 6*h**2 - h - 2. Suppose -18*r - 144 = -36. Give l(r). 4 Suppose -6*z = -7*z + 3. Let q(d) = -2*d**3 - 3*d + 2*d + 0*d**z + 2 - 3. What is q(-1)? 2 Suppose -2*s = -m + 10, -5*m + 0 = 2*s - 2. Let y(x) = -5 - 10*x - x**m + 1 - 1 + 4*x. Give y(-5). 0 Let k(i) = 0*i - 5*i - 4*i**2 - 1 + 2*i**2 + 0. What is k(-4)? -13 Let l(i) = -i**3 + 5*i**2 - i + 3. Let s = 41 - 37. Determine l(s). 15 Let h(n) = n**3 + 6*n**2 - 6*n + 1. Let u be h(-7). Let s(v) = -v - 12. Determine s(u). -6 Let v(y) = y**3 - y**2 - y + 1. Let j(l) = -5*l**3 + 4*l**2 + 5*l - 4. Let g(w) = j(w) + 3*v(w). Determine g(2). -9 Let o(z) be the first derivative of z**6/120 - z**5/12 + 5*z**4/24 - z**3/2 - z**2 + 4. Let n(y) be the second derivative of o(y). Determine n(4). 1 Let c(a) be the first derivative of -a**2 + 18*a + 37. Give c(12). -6 Let t be (-1*1)/(2/8). Let a be 2/t + (-5)/(-10). Let q(s) = -s. Give q(a). 0 Suppose 3 = 5*u - 2. Let d(i) = -5*i**2 - 5*i + 6*i**2 + 2 - u. What is d(6)? 7 Suppose 0 = 3*n - 4*n + 4. Let y(v) = -5*v**2 + 6*v - 3. Let l(p) = -10*p**2 + 11*p - 5. Let j(q) = n*l(q) - 7*y(q). Calculate j(-1). -6 Let r(h) = -4*h**2 + 6*h - 2. Let p(z) = 7*z**2 - 11*z + 4. Let f(j) = 3*p(j) + 5*r(j). Suppose 10 = 10*s - 5*s. What is f(s)? 0 Let m(z) = 6*z**2 - 5*z + 1. Let s(q) = -5*q**2 + 8*q - 1. Let f(o) = 5*o**2 - 9*o + 1. Let r(t) = 4*f(t) + 5*s(t). Let a(n) = -2*m(n) - 3*r(n). Calculate a(1). 2 Let o = -114 - -116. Let j(f) = -4*f**3 + 2*f**2 - f + 2. Give j(o). -24 Let a(p) = -p**3 + 4*p**2 + 4*p. Suppose -23 = -3*z - w - 3*w, 10 = 4*z - 5*w. Determine a(z). -5 Let h(o) be the first derivative of o**4/12 - o**3/6 - 3*o**2/2 - o - 2. Let n(k) be the first derivative of h(k). What is n(3)? 3 Let n(l) = -4*l**3 - 5*l**2 - 2*l - 2. Let a(w) = -2*w**3 - 3*w**2 - w - 1. Let t(i) = 5*a(i) - 3*n(i). Let d be t(-1). Let z(s) = -2*s**2 + s + 1. Give z(d). -9 Let f be ((-9)/2)/(3/4). Let s(r) be the second derivative of r**4/12 + 7*r**3/6 + 9*r**2/2 + 2*r. Give s(f). 3 Let a(r) = 4*r. Suppose 2*n - 7*n = 0. Let q be -2 + (1 + n)*-1. Let m be (3 - (-2 - q))/(-1). Give a(m). -8 Suppose m = -3*c - 0*m - 17, c - 13 = -5*m. Let h(j) = j**3 + 7*j**2 + j + 2. Let w be h(c). Let v(t) = -t**3 - 6*t**2 + 7*t - 2 - 13*t - 2 - 2. What is v(w)? -1 Let d(g) = -3*g + 7. Let x(z) = -2*z + 6. Let s(a) = 4*d(a) - 5*x(a). Determine s(-4). 6 Let r be -6*((-2)/3 - -1) + -3. Let m(g) be the third derivative of 0*g - 5/24*g**4 - 1/6*g**3 + 1/120*g**6 + 1/15*g**5 + g**2 + 0. Determine m(r). -1 Let w(f) = 2*f - 3. Suppose 42 = 7*m - 0*m. Give w(m). 9 Suppose 4*g - 23 = 1. Let k(c) = -c - g + 1 + 3 + 3. Give k(-4). 5 Let p(v) be the third derivative of v**6/60 + v**4/24 - v**2. Let l = 15 + -13. Suppose -8 = 4*h - 4*j, l*h = h + 3*j - 8. Determine p(h). 3 Let b(z) be the third derivative of z**5/60 - z**4/3 + 3*z**3/2 + 28*z**2. What is b(7)? 2 Suppose 2 = 3*i - 7. Suppose 6 = -i*q + r - 7, 5*r = 5. Let a(h) = -3*h**3 + 4*h**2 + 4*h**3 + 3 + 2. Give a(q). 5 Let a(h) = 9*h + 6. Let x(z) = 5*z + 3. Let o be 6*((-2)/12 - -2). Let i(l) = o*x(l) - 6*a(l). Calculate i(6). 3
Let m(n) = 10*n - 116. Let c(i) = -8*i + 126. What is 3*c(u) + 4*m(u)? 16*u - 86 Let d(y) = -396*y + 134*y - 3 + 126*y + 135*y. Let m(g) = -2*g - 6. Let c = 125 - 130. Calculate c*d(t) + 3*m(t). -t - 3 Let w(a) = -4*a**2 - 4*a + 4. Let g(k) be the first derivative of k**3 + 5*k**2/2 - 5*k + 1296. Calculate -5*g(d) - 6*w(d). 9*d**2 - d + 1 Let g(a) = 9*a**2 - 9*a + 9. Let j(f) be the third derivative of -5/24*f**4 + 1/12*f**5 + 0*f + 5/6*f**3 - 87*f**2 + 0. Determine 4*g(r) - 7*j(r). r**2 - r + 1 Let h(b) = b**2 - 5. Let k = 366 - 363. Let j(z) = -4. Let o(x) be the third derivative of -x**4/24 - x**3/2 - 5*x**2. Let u be o(1). Calculate k*h(n) + u*j(n). 3*n**2 + 1 Let o(a) = -2*a - 6. Let s be (-2)/((10 + 6)/(-8)). Let u(r) = 1. Give s*o(n) - 8*u(n). -2*n - 14 Let n(i) = 236*i**3 - i**2 - 10*i - 1. Let m(z) = -708*z**3 + 3*z**2 + 27*z + 2. Calculate 3*m(q) + 8*n(q). -236*q**3 + q**2 + q - 2 Let l(k) = -3. Let v(j) = 353*j**2 + 5295. Determine -5295*l(w) - 3*v(w). -1059*w**2 Let c = 286 - 280. Let q(o) = -5*o - 3. Let h(n) = 271 - 140*n - 164 - 192. What is c*h(t) - 170*q(t)? 10*t Let i(f) = 16*f**2 - f - 16. Suppose -5*d + 3*q = 8, 0 = -7*d - 5*q - 23 + 67. Let v(o) = 5*o**2 - 5. Determine d*i(k) - 7*v(k). -3*k**2 - 2*k + 3 Let r(g) = 0*g - 9 - 5*g + 8*g - g + 9*g. Let w(l) = 2*l + l - 5 + 3*l. Suppose -2*j = p - 5, -3*p - 5 = -2. Calculate j*r(a) - 5*w(a). 3*a - 2 Suppose 10*s - 4*b - 15 = 11*s, b = 4*s - 25. Let f(w) = -7*w + 7. Let h be 630/153 + 12/(-102). Let q(g) = 6*g - 6. Determine h*f(i) + s*q(i). 2*i - 2 Let p(s) = 12*s - 133. Let m(g) = -g + 25. Give 6*m(u) + p(u). 6*u + 17 Let g be (-1062)/(-236)*8/9. Let d(q) = 3*q - 3. Let j(b) = 0 + 10*b - 6 - 4. What is g*j(y) - 14*d(y)? -2*y + 2 Let y(q) be the second derivative of -q**3/6 + q**2/2 + 15*q. Let l = -11 - -22. Let m = l + -8. Let h(f) = f - 1. What is m*h(g) + 4*y(g)? -g + 1 Let u(y) = 10*y + 30. Let r(l) = -13 - 3 - 6 + 21. Calculate 30*r(x) + u(x). 10*x Let g(y) = 2*y**2 + 2. Let p be 1914/5104 - (-45)/8. Let n = 1 - 0. Let k(x) = -n + 0*x**2 + x**2 + 2. Calculate p*g(o) - 14*k(o). -2*o**2 - 2 Let a(b) = -924*b**2 + 2*b + 10. Let g(o) = 1849*o**2 - 5*o - 24. Give -5*a(n) - 2*g(n). 922*n**2 - 2 Let p(y) = 9*y + 1. Let t(l) = -33*l**2 + 192*l + 15. Calculate 18*p(a) - t(a). 33*a**2 - 30*a + 3 Let y(q) = q**2 + 11*q - 12. Let x be y(-8). Let h = 41 + x. Let o(b) = 83*b**3 + h*b - 90*b**3 + 3 - 1. Let v(p) = -3*p**3 + 2*p + 1. Give -2*o(d) + 5*v(d). -d**3 + 1 Let k(h) be the second derivative of h**2/2 + 3586*h. Let v be (52/39)/((-4)/6). Let t(q) = -q**2 + q - 3. What is v*k(i) - t(i)? i**2 - i + 1 Let z(b) = 38*b**2 - 270*b + 10. Let w(q) = -32*q**2 + 267*q - 9. Determine -6*w(m) - 5*z(m). 2*m**2 - 252*m + 4 Let k = 87 + -82. Let v(o) = -15*o - 2. Let b(j) = -23*j - 3. Let d(h) = k*b(h) - 8*v(h). Let c(x) = -2 - x + 2 - 1. What is -4*c(f) - d(f)? -f + 3 Suppose 0 = -81*b + 9 - 171. Let i = -29 + 18. Let p(s) = 41*s**3 + 11. Let c(h) = -3*h**3 - 2 - 4*h**3 - h**3. Calculate b*p(g) + i*c(g). 6*g**3 Let v(r) = -35*r**2 - 30*r - 39. Let i(q) = -2*q**2 + 3*q. Calculate -10*i(p) - v(p). 55*p**2 + 39 Let g(t) = -28*t**3 + 65*t**2 - 5560*t - 68. Let x(v) = -10*v**3 + 23*v**2 - 1853*v - 24. Give 6*g(h) - 17*x(h). 2*h**3 - h**2 - 1859*h Let a(q) = -4*q**3 - 4. Let b(y) = 8*y**3 - 28*y**3 + 8*y + 3*y + 2*y**3 + 23. Let u(m) = 7*m**3 - 4*m - 8. Let r(c) = 4*b(c) + 11*u(c). Give 7*a(i) + 6*r(i). 2*i**3 - 4 Let g(o) = 2*o**3 + 5*o**2 - 2. Let b(p) = 2 + 26*p**3 - 2*p**2 - 1 - 16*p**3 - 11*p**3. Let h be -1 - 7/((-28)/20). Give h*g(k) + 10*b(k). -2*k**3 + 2 Let b(o) = -6*o**3 - 18*o**2 - 3*o + 4. Let v(i) = 3*i**3 + 9*i**2 + i - 2. Let d be (-9)/(14/84*-18). Determine d*b(g) + 7*v(g). 3*g**3 + 9*g**2 - 2*g - 2 Let h(m) = -192*m - 2. Let j be h(-10). Let s(d) = -j*d**2 + 2*d**3 + 5 - d - 4*d + 1923*d**2. Let a(k) = k**3 + 4*k**2 - 4*k + 4. Determine -5*a(u) + 4*s(u). 3*u**3 Let v(p) = p. Let j(x) = -3*x + 2. Suppose -2*k + 2 + 4 = 0. Suppose -2*r - 3*g = -3, -k*g = -5*r + 3*r - 3. Suppose r - 6 = 6*z. What is z*j(s) - 5*v(s)? -2*s - 2 Let j(r) = r**2 + 1. Let l(z) = -6*z - 15. Let p be l(-11). Let i = 53 - p. Suppose 0 = -x - x + i. Let h(n) = -7*n**2 - 9. What is x*h(d) + 6*j(d)? -d**2 - 3 Let p(b) = -b**3 - b - 1. Let l(c) be the first derivative of -12*c**4 - 18*c**2 - 36*c + 1496. Calculate l(h) - 36*p(h). -12*h**3 Let w(n) = 63*n + 848. Let k(v) = 37*v + 565. Calculate 8*k(i) - 5*w(i). -19*i + 280 Let f(q) = -3*q - 2. Let u(x) = -x**2 - x - 1. Let c = 10237 + -10234. Give c*u(v) - f(v). -3*v**2 - 1 Let c(k) = 5*k + 1386. Let h(w) = -3*w - 3. Determine -c(i) - 2*h(i). i - 1380 Let y(r) be the third derivative of r**3/6 - 262*r**2. Let x(u) = 0*u + 2 - u + 4. Suppose -6*m - 27*m = -33. Calculate m*x(q) - 6*y(q). -q Let q(h) = -h**2 + 5. Suppose 42*c + 187 - 7 = 6*c. Let k(n) = 2*n**2 - 4. Let w = 4 + -8. Calculate c*k(x) + w*q(x). -6*x**2 Let k(v) = 2 - v - 6*v**2 + v. Let z(p) = 3*p**2 - 81*p - 511. Let x(w) = -w**2 + 36*w + 227. Let a(i) = -9*x(i) - 4*z(i). What is -7*a(h) + 4*k(h)? -3*h**2 + 1 Let q(p) = 17*p**2 - 277*p. Let o(z) = -15*z**2 + 278*z. Determine -11*o(w) - 10*q(w). -5*w**2 - 288*w Let a be ((-92)/20)/((-3)/15). Suppose f - a = -4*k, -5*k - f = -32 + 4. Let p(c) = 6*c**2. Let o(y) = -5*y**2. Calculate k*o(j) + 4*p(j). -j**2 Let s(w) = -1. Let r(b) = -b + 8. Let y be 2345/(-455) - (1 - (-45)/(-39)). Give y*s(f) + r(f). -f + 13 Let f(l) = 7*l**2 - 24*l + 13. Let p(i) = -44*i**2 + 144*i - 79. What is 13*f(a) + 2*p(a)? 3*a**2 - 24*a + 11 Let l(d) = -27*d**2 + 4*d + 4. Suppose -5*u - 3*n = 799, -5*n + 57 - 208 = u. Let r(q) = 1081*q**2 - 161*q - 161. Determine u*l(y) - 4*r(y). 23*y**2 Let b(f) = 33*f**2 - 18*f + 14. Let k(v) = 65*v**2 - 45*v + 27. Determine 5*b(x) - 2*k(x). 35*x**2 + 16 Let j(s) = 40*s**2 + 6*s - 6. Let w(a) = -2001*a**2 - 299*a + 299. Suppose -24 = 47*l - 25*l + 108. Give l*w(y) - 299*j(y). 46*y**2 Let a(i) = -7*i + 10. Let n be a(-2). Suppose 108*c = 104*c - n. Let w(q) = 4*q**2 + 6*q - 6. Let o(j) = 3*j**2 + 5*j - 5. What is c*o(u) + 5*w(u)? 2*u**2 Let l(j) = -j**2 + 11*j + 25. Let f be l(13). Let o(n) = 1. Let t(w) = 3*w - 10. Calculate f*t(h) - 6*o(h). -3*h + 4 Let l(z) = -z**3 - 9*z**2 - 1. Let m(s) = -2*s**3 - 25*s**2 - s - 2. Give -8*l(q) + 3*m(q). 2*q**3 - 3*q**2 - 3*q + 2 Let r(f) = -5*f - 2. Let p = -43 - -46. Let i(s) = -s + 6. Let x be i(p). Suppose x*w - w + 13 = q, 2*q + 4*w = -14. Let m(k) = -k. What is q*m(u) - r(u)? 2*u + 2 Let g(p) = 1173*p. Let v(y) = 4733065*y. Give 40355*g(m) - 10*v(m). 5765*m Let s(t) = 2*t**2 + 2*t + 1. Let u(c) = -7*c**2 - 1289*c - 3. What is -6*s(q) - 2*u(q)? 2*q**2 + 2566*q Suppose -h = -5*h + 44. Let q(g) = -h + 4*g + 18 - 4. Let m(d) = -9*d - 7. Determine -3*m(w) - 7*q(w). -w Let v(f) = -f**3 + 7*f**2 - 2. Let r(n) = -n**3 + 8*n**2 - 3. Let c(h) = -3*r(h) + 4*v(h). Let t(o) = -52 + 128 + o**2 - 76. What is c(z) - 5*t(z)? -z**3 - z**2 + 1 Let z(v) = v**2. Let k(n) = 30*n**2 - 210*n + 21. Let d(x) = 10*x - 1. Let u(w) = 21*d(w) + k(w). Give u(g) - 40*z(g). -10*g**2 Let u(j) = 7*j**3 - 23*j**2 + 107*j - 7. Let p(h) = 6*h**3 - 16*h**2 + 71*h - 5. What is 7*p(x) - 5*u(x)? 7*x**3 + 3*x**2 - 38*x Let z(o) = -2*o**3 + 3*o**2 - 17. Let x(c) be the second derivative of -c**5/20 + c**4/12 - 184*c + 4. What is 3*x(q) - z(q)? -q**3 + 17 Let m(w) = 3314*w**3 - 7*w**2 - 7*w + 4. Let o(h) = -2209*h**3 + 5*h**2 + 5*h - 3. Calculate -5*m(b) - 7*o(b). -1107*b**3 + 1 Let h(c) be the third derivative of c**5/60 + c**3/6 + 3441*c**2. Let b(p) = -34*p**3 - 8*p**2 - 8. Determine b(w) + 8*h(w). -34*w**3 Let z(g) be the third derivative of -g**6/24 + g**5/20 - g**4/24 + g**3 + 65*g**2 - 19*g + 1. Let j(a) = 5*a**3 - 4*a**2 + a - 7. Give -5*j(l) - 6*z(l). 5*l**3 + 2*l**2 + l - 1 Let u(c) = 2*c**3 + 7*c + 4. Let p = -2642 + 2648. Let h = -13 - 0. Let v(w) = w**3 + 3*w + 2. Calculate h*v(t) + p*u(t). -t**3 + 3*t - 2 Let f(u) be the second derivative of u**3/2 + 2*u**2 + 47*u - 7. Let b(c) = c**2 - c - 1. What is 6*b(q) + 2*f(q)? 6*q**2 + 2 Let j(n) = -1355*n**2 + 3. Let k(w) = 50128*w**2 - 112. Determine 112*j(v) + 3*k(v). -1376*v**2 Let i(x) be the second derivative of -5*x**3/3 - 11*x**2/2 - 15008*x. Let q(c) = 5*c + 5. Give -4*i(b) - 9*q(b). -5*b - 1 Let o(u) be the second derivative of 3*u**5/10 + u**4/12 + 5*u**3/6 + 5*u**2/2 + 8000*u. Let b(l) = -7*l**3 - l**2 - 6*l - 6. Give -3*b(a) - 4*o(a). -3*a**3 - a**2 - 2*a - 2
Let h be (-3)/8*(-152)/19*(-3)/(-54). Which is the closest to 93? (a) -1 (b) h (c) 5 c Let f = -0.663 + 3.763. What is the closest to -2/7 in f, -3, 6, 0.1? 0.1 Suppose 4*r + 5*h = -52, -h = -5*r + 2*h + 9. What is the closest to r in -51, 4, -9? -9 Let f = -50 - -50. Let z be 5/((-5)/39) + (1 - f). Let o be 1*(-16)/(-12) + z/24. What is the closest to 2/9 in 9, -1, o? o Let w be (6/8)/(693/56 + 3). Which is the closest to -3? (a) w (b) -3 (c) 4 b Let o = -30355.7 + 30356. What is the closest to o in -2, -50, 8, 0.3? 0.3 Let l = 32.87 + 1655.13. Let p = l + -1669. Let c = 0 + 0.1. What is the closest to c in -2, 4, p? -2 Suppose 4*n - 64 = -2*m, -n = -0 - 1. Suppose 5*w - m + 5 = 0. Suppose -7*p = -35 + 21. Which is the nearest to -2? (a) w (b) p (c) -2.6 c Let t = -1258/9 - -140. Let i be (-23396)/168 + 7/(-42). Let r = i - -139. Which is the nearest to -2? (a) t (b) 0.5 (c) r c Let g(y) = -7*y - 174. Let v be g(-24). Let a be ((3 - 9)/(-36))/(v/(-8)). Let n be (-2)/(-12) - 4/6. What is the closest to 0.1 in n, a, 2/5? a Let t = 278250.1 - 278250. Let f(m) = -m**3 + 8*m**2 - m + 11. Let p be f(8). What is the closest to t in -1/2, -54/7, -0.3, p? -0.3 Let i = 227 - 243. Let l = i + 33/2. What is the closest to 1/4 in -0.3, 4, l? l Let h = -2.2822 - -2.5822. What is the closest to -0.03 in 3/5, h, -1/3? -1/3 Suppose 4 + 0 = 2*v. Let p be (2 + -1 + v - 4)*-1. Let q = -27.2 - -27. What is the nearest to p in q, -0.4, -20/9? q Let z be ((-1)/14)/(7/(-14)). Let l = -3.649 + -0.351. Which is the nearest to 1/7? (a) z (b) l (c) -0.1 a Let t = -0.49 + -26.51. Let x = t - -26. Let l = 546 - 550. Which is the nearest to 0.1? (a) 4 (b) l (c) x c Let w = -84/215 - 2/215. Let d(v) = 595*v + 109. Let k be d(-2). Let x = k - -1079. Which is the nearest to 4/9? (a) w (b) 4 (c) x a Let a = -682.7 - -698. Let w = a + -15.22. What is the closest to w in -0.24, 2, -4/5? -0.24 Let m = 519760 - 3638319/7. Let k be 21/(-18) + 2/(-4). Which is the closest to 1? (a) -1/2 (b) m (c) k (d) -2/21 b Let x(v) = -v**3 - 8*v**2 + 6*v - 6. Let m be x(-9). Let d = -23 + m. Let j be (1/(-3))/(-11 + 12). Which is the nearest to d? (a) 0.2 (b) -2 (c) j b Let k = -0.6473 - -0.3473. Let p = 0.18 - -2.82. Which is the closest to p? (a) k (b) -6 (c) -0.5 a Let d = 15.2 - 12.2. Let v = 40.8 + 12.2. Let k = 53 - v. Which is the nearest to k? (a) -2 (b) -0.5 (c) d b Let u = 834 + -964. Let y be 6/2 + 410/u. Let r = -0.08 - -3.08. Which is the nearest to -0.1? (a) -2 (b) y (c) r b Let g be ((-4)/(-14))/((-130)/14 - -8). Let w = -611 + 14055/23. Suppose 0 = d + 3. What is the nearest to g in w, -5, d? w Let d = 0.3487 + 0.0503. Let z = 0.099 - d. What is the nearest to -12 in z, -1/3, -3? -3 Let s = 0.36 - 19.76. Let h = 19.7 + s. What is the nearest to 2/7 in 3/4, 6, h? h Let g = 6242 - 6287. What is the closest to g in 1/10, -3, -8? -8 Let k = 0.5 + 425.5. Let z = k + -427. What is the nearest to z in -2/5, -1, -2/17, -1/6? -1 Suppose 2*t - 676 = -r - 696, -25 = -t + 3*r. Let h = 0.3 - 0.2. Which is the closest to h? (a) 1 (b) t (c) 0.6 c Let d = -0.042411 - -3.042411. Let s be 4*1*(-1)/(-7). Which is the nearest to s? (a) d (b) 1 (c) -3 b Let v = -3.544 - -3.244. Which is the closest to -2/33? (a) -3 (b) 0.1 (c) 2 (d) v b Suppose x = -5*o + 5*x - 10, 21 = 3*o + 3*x. Let y be -2*6/18*o/(-4). Suppose t = -2*j, -8*t - 4*j + 12 = -3*t. What is the closest to -0.1 in y, t, -4? y Let k = -0.089 - 0.411. Which is the closest to -4? (a) -2/9 (b) -3 (c) -1.6 (d) k b Let s = -8306 - -8403. Which is the closest to 0? (a) -2/9 (b) -0.5 (c) s (d) 2/7 a Let t(h) = h**3 + 29*h**2 - 63*h - 32. Let l be t(-31). Let i(n) = 10*n + 7. Let q be i(l). Which is the nearest to -4? (a) 5 (b) q (c) -0.3 (d) -0.5 b Let j = 1063 - 1066. Let y = -116295/8 + 14600. Let n = y - 63. Which is the closest to j? (a) 5 (b) 3 (c) n c Let u = 697/30 - 229/10. Which is the nearest to -6? (a) 0.1 (b) u (c) 0.033 c Let m = -26/5 + 187/35. Let k = 79 - 61. Let c = k - 23. What is the closest to 1/4 in m, -0.1, c? m Let t = -0.166 - -80.166. Let v = 80.5 - t. Which is the closest to 0.3? (a) 2 (b) -3/2 (c) v c Let i be 9*(6 + -21) - (-1)/1. Let y = 933/7 + i. What is the closest to 2/7 in -2/11, y, 0.1? 0.1 Let l = -10 - -10. Let f = -119.2 - 54.8. Let u = f - -174.3. Which is the closest to 0.3? (a) l (b) u (c) -1/3 b Let y = 2.6034 + 1.3966. Let t be 2 - (336/(-164))/(-1). Which is the closest to -1? (a) y (b) t (c) 5/4 b Let s = 12.9 - 13.2. Let k be 1/(7 - 135/20). What is the closest to -0.3 in 2, s, k? s Let i = 1.286 + -0.286. Which is the closest to 0.1? (a) 21 (b) 0 (c) i b Let s = 3.556 - 3.6. Let n = -0.02 - s. Let f = n + -4.024. What is the closest to 3 in f, 1, 2/11? 1 Let u = -1/4934 + -1232/7401. Let r = -0.003 - 28.997. What is the nearest to -0.2 in r, u, 3? u Let t = 8531 + -8530.2. Which is the nearest to 0? (a) 0.3 (b) t (c) -2/13 c Let z = -0.125 - 3.875. Let m = -1.05 + 1. Let i = 0.576 - 0.176. Which is the nearest to -1? (a) m (b) z (c) i a Let q = -0.02194 + 10.02194. What is the closest to -2/13 in 2, q, -2? -2 Let w = -5663.0324 + 5662. Let z = -0.0324 - w. Which is the closest to z? (a) 2 (b) -2/7 (c) -30/7 a Suppose -32*t - 6278 = -6086. Which is the nearest to t? (a) -0.3 (b) 2 (c) -1/2 (d) -0.2 c Let h = 47 - 47.01. Let l = 90 + -90.41. Let w = l + 0.41. What is the closest to w in -5, h, 3? h Let k = -37012 + 37010. What is the closest to 461 in 0.4, k, -2/5? 0.4 Let x = -5.05 - -0.05. Let g = 0.7889 + 2.2111. Let z(p) = p**2 + 6*p + 2. Let r be z(-5). Which is the nearest to g? (a) x (b) r (c) -0.1 c Let s = -6666 - -6660. What is the closest to 3 in 3, -4, s? 3 Let j = -131.045 - -131. Let x = 5.045 + j. What is the closest to -1/6 in x, -4, 0.5? 0.5 Let a be (-26)/(-40) - (24/10 + -2). Suppose 0 = -5*y - 25, 11*z - 8*z + 3*y = -27. What is the closest to a in 0, 0.3, z, -2/19? 0.3 Suppose -5*p + 2*p = -2*t - 17, 4*p + 2*t = 4. Suppose 0 = -p*g + 4*g. Let w = 17.8 + -18. What is the closest to 2/3 in -2, w, g? g Let u = 6 + -5.8. Let z = -0.2 - 0.1. Let f = 0.234 + -0.634. Which is the closest to z? (a) 2/3 (b) f (c) u b Let n = 213 - 353. Let o = -101 - n. Let h = o - 75/2. Which is the nearest to 2/3? (a) -0.2 (b) -0.5 (c) h c Let u be (-9)/5 - 5/25. Let y be 1*u/12*4. Let g = 1153 - 1153.5. What is the closest to y in 0.2, g, 2? g Let d be (-3)/(-24)*-2*4. Let q = 1824 - 1839. Which is the nearest to d? (a) -5 (b) -0.3 (c) q b Let p = 41 + -125/3. Let f = 0.5 + -0.3. Let r = 3897 + -3899. Which is the nearest to p? (a) f (b) r (c) -0.2 c Let x = -3936.5 + 3937. Which is the closest to 14? (a) x (b) -0.4 (c) -3 a Let h = -92.7 - -93. Let f = -1434 - -5735/4. Which is the nearest to f? (a) -2 (b) 1.29 (c) 2/9 (d) h c Let v = -911 + 910. Let y = -66 - -65.91. Which is the closest to -2/7? (a) v (b) y (c) -2/3 b Let t = -0.46 + 8.86. Let d = t + -8. Let m = 1 + -0.9. What is the closest to 0.1 in m, -3, d? m Suppose -2*k + 3*q = -0*q - 33, -4*q = -4. Suppose -2*w = -2*r - 2, w - 15*r = -20*r - 11. Which is the closest to -2? (a) w (b) k (c) -6 a Let d = 2198.91 + -2199.01. Let n be 8/(-22) + 1 + -1. What is the closest to d in -5/2, 4, n? n Let q(w) = -66*w + 60. Let j be q(2). Let k be (-32)/j - (-22)/(-90). Which is the nearest to k? (a) 1/5 (b) -0.1 (c) -1/2 a Let o = -0.035 + -4.765. Let b = o + 6.8. Let k = 5 + -7. What is the closest to 0.1 in -0.1, b, k? -0.1 Let j = 0.187 - 0.487. Let g = -308.9 - -309. What is the nearest to g in -4/3, -2/5, j, 2/13? 2/13 Let w be (9 - 15) + 3 - 12. Which is the closest to w? (a) -1/4 (b) 3 (c) -0.4 c Let z = -16.65 - -16.35. Which is the nearest to 6? (a) -0.1 (b) -8/7 (c) z a Let t = 19965 + -19961. Which is the nearest to 21.8? (a) 0 (b) 5 (c) t b Let x = 43298/11 + -3936. Which is the closest to 1/3? (a) -3 (b) 0.08 (c) x (d) 1 c Let y = -48 - 98. Let w = -1745 + 1744. What is the closest to w in -1/3, y, -0.4? -0.4 Let i be (6/5)/(((-3648)/(-120))/(-38)). Let j = 2.27 - 1.28. Let q = 0.01 + j. What is the nearest to 1 in q, 0, i? q Let v be (0 + -9 + 7)*(115/50 - 2). What is the nearest to 2 in -0.3, v, -2/11, 0? 0 Let d = -200.7 - -199.7. Let l = 0.04 - -0.16. What is the nearest to d in -2, -5, l? -2 Let s = -432 - -179. Let q = 162 + s. Let w = q + 95. Which is the nearest to 0? (a) 0.04 (b) w (c) -3 a
Calculate prob of sequence stn when three letters picked without replacement from {t: 5, j: 2, o: 1, s: 6, n: 2}. 1/56 Two letters picked without replacement from lklkkjjljkkjkk. What is prob of sequence ll? 3/91 What is prob of sequence rv when two letters picked without replacement from xffxrxrvrfxrrrfrerxr? 9/380 What is prob of sequence cgc when three letters picked without replacement from cgcgo? 1/15 What is prob of sequence thh when three letters picked without replacement from {m: 2, t: 8, h: 4, c: 5}? 16/969 What is prob of sequence gr when two letters picked without replacement from {r: 2, g: 1, d: 2, m: 2, e: 1, s: 7}? 1/105 Four letters picked without replacement from nnnn. What is prob of sequence nnnn? 1 What is prob of sequence oo when two letters picked without replacement from {a: 3, z: 1, n: 5, o: 2, p: 1, y: 1}? 1/78 Two letters picked without replacement from {w: 1, g: 1, x: 2, i: 2, h: 1, n: 1}. What is prob of sequence gh? 1/56 What is prob of sequence llb when three letters picked without replacement from bbbbbllllllbbbbbbb? 5/68 What is prob of sequence mzko when four letters picked without replacement from mohmkommohfmzmh? 1/1820 Four letters picked without replacement from zuczgzuzzwwzpccwz. Give prob of sequence pzwg. 1/2720 Two letters picked without replacement from zxxjjjj. Give prob of sequence jx. 4/21 Two letters picked without replacement from skkkkvwv. Give prob of sequence ks. 1/14 Two letters picked without replacement from aaagdujjuaguaaaguaa. Give prob of sequence gd. 1/114 Three letters picked without replacement from dppggcpkpgpggg. Give prob of sequence ggc. 5/364 Calculate prob of sequence mz when two letters picked without replacement from {m: 2, z: 3}. 3/10 Four letters picked without replacement from rggrgxssszge. Give prob of sequence srze. 1/1980 Two letters picked without replacement from {g: 1, v: 1, u: 1, z: 1, k: 1, e: 2}. What is prob of sequence uk? 1/42 Calculate prob of sequence tp when two letters picked without replacement from jjpjqtjjj. 1/72 Calculate prob of sequence vqvv when four letters picked without replacement from vtztvvvllttqvyt. 1/546 Three letters picked without replacement from rmmrezmqremmazm. What is prob of sequence eez? 2/1365 What is prob of sequence av when two letters picked without replacement from {d: 1, v: 1, a: 1}? 1/6 Calculate prob of sequence iip when three letters picked without replacement from {p: 17, i: 2}. 1/171 What is prob of sequence sf when two letters picked without replacement from dwddsvfdwsdsw? 1/52 Calculate prob of sequence ccci when four letters picked without replacement from ccccicccceceicc. 11/182 What is prob of sequence gkd when three letters picked without replacement from kgtdxgdz? 1/84 Two letters picked without replacement from mamd. What is prob of sequence ma? 1/6 Two letters picked without replacement from {g: 3, z: 1}. Give prob of sequence gz. 1/4 Calculate prob of sequence or when two letters picked without replacement from {g: 1, w: 1, r: 1, o: 2, t: 1, h: 1}. 1/21 Three letters picked without replacement from oouhuuooouuuhuooou. What is prob of sequence ouu? 14/153 Two letters picked without replacement from {y: 6, i: 7}. What is prob of sequence yy? 5/26 Calculate prob of sequence jjjs when four letters picked without replacement from {s: 3, j: 13}. 33/280 Two letters picked without replacement from {j: 7, l: 9}. What is prob of sequence lj? 21/80 Two letters picked without replacement from {n: 1, i: 1, d: 3, b: 1, j: 1}. What is prob of sequence nd? 1/14 What is prob of sequence qq when two letters picked without replacement from vqvvvqvvqvqvqv? 10/91 Four letters picked without replacement from {n: 9, q: 2, e: 6}. What is prob of sequence eeqn? 9/952 Calculate prob of sequence qj when two letters picked without replacement from {q: 2, j: 8, v: 4}. 8/91 Calculate prob of sequence aaay when four letters picked without replacement from {y: 5, a: 7}. 35/396 Calculate prob of sequence rrjr when four letters picked without replacement from {r: 13, j: 5}. 143/1224 Four letters picked without replacement from ddmqqmddqqk. Give prob of sequence kqmq. 1/330 Calculate prob of sequence affa when four letters picked without replacement from affaffafaaff. 7/99 What is prob of sequence pp when two letters picked without replacement from rrvvrrrrrpvvrzrrprvj? 1/190 What is prob of sequence eec when three letters picked without replacement from {c: 2, z: 3, e: 3}? 1/28 Three letters picked without replacement from {p: 5, e: 9}. Give prob of sequence epp. 15/182 Two letters picked without replacement from {v: 6, q: 2, d: 3, o: 2}. What is prob of sequence vq? 1/13 Two letters picked without replacement from {p: 1, r: 1, w: 4, l: 3, d: 2}. Give prob of sequence lr. 3/110 What is prob of sequence daaa when four letters picked without replacement from {a: 3, k: 3, d: 2}? 1/140 What is prob of sequence mk when two letters picked without replacement from ljgkmfkj? 1/28 Three letters picked without replacement from {t: 1, o: 1, c: 1, u: 2, k: 2}. Give prob of sequence ctk. 1/105 Two letters picked without replacement from wwvbvwovvbibffvovw. What is prob of sequence wi? 2/153 Three letters picked without replacement from {t: 7, q: 3, j: 5, d: 1}. Give prob of sequence tjd. 1/96 Two letters picked without replacement from {v: 8, r: 3, n: 3, m: 3, d: 1}. What is prob of sequence nv? 4/51 Calculate prob of sequence lfxc when four letters picked without replacement from {x: 1, y: 1, r: 1, c: 1, f: 2, l: 1}. 1/420 Calculate prob of sequence mbmo when four letters picked without replacement from mimbtbiibobbobi. 1/1365 Three letters picked without replacement from {p: 3, t: 1, d: 3, w: 3, u: 1}. Give prob of sequence pud. 1/110 What is prob of sequence ybyb when four letters picked without replacement from bbbbybbyby? 1/20 Calculate prob of sequence mguu when four letters picked without replacement from {u: 5, m: 1, g: 1, q: 1, x: 7}. 1/1638 Calculate prob of sequence my when two letters picked without replacement from mnmcyyncckcycc. 3/91 Three letters picked without replacement from eyyyyeyyyyye. What is prob of sequence eyy? 9/55 Two letters picked without replacement from gzezeghgezaeggettzgg. Give prob of sequence zh. 1/95 Three letters picked without replacement from ssysysysyyodss. Give prob of sequence ssy. 5/52 Three letters picked without replacement from {t: 1, l: 2, g: 2, n: 1, d: 4, w: 2}. Give prob of sequence wtw. 1/660 What is prob of sequence oa when two letters picked without replacement from oqqqqqaqapqppqqoa? 3/136 Two letters picked without replacement from {t: 1, u: 4, q: 5}. What is prob of sequence uq? 2/9 Calculate prob of sequence uz when two letters picked without replacement from {u: 1, z: 1, o: 1}. 1/6 What is prob of sequence dd when two letters picked without replacement from {d: 5, f: 3}? 5/14 What is prob of sequence rwr when three letters picked without replacement from {n: 2, w: 2, r: 8}? 14/165 Two letters picked without replacement from {e: 4, n: 2, s: 3}. Give prob of sequence ne. 1/9 Three letters picked without replacement from uuhubbchuhhbhh. Give prob of sequence bbu. 1/91 What is prob of sequence bcbm when four letters picked without replacement from {w: 1, u: 7, m: 6, b: 2, c: 3}? 1/2584 Two letters picked without replacement from {g: 1, o: 1, m: 1}. What is prob of sequence mo? 1/6 Four letters picked without replacement from ttttqqttttttttttttt. Give prob of sequence qtqt. 1/171 What is prob of sequence nct when three letters picked without replacement from ncctnttnttnt? 2/55 Calculate prob of sequence to when two letters picked without replacement from {d: 4, a: 4, o: 2, t: 2}. 1/33 Two letters picked without replacement from njoom. What is prob of sequence nj? 1/20 Calculate prob of sequence ff when two letters picked without replacement from {k: 2, f: 6}. 15/28 Two letters picked without replacement from ekkiekeeieke. Give prob of sequence ee. 5/22 What is prob of sequence pq when two letters picked without replacement from {e: 3, p: 3, q: 1}? 1/14 What is prob of sequence hhu when three letters picked without replacement from huuh? 1/6 Calculate prob of sequence czpz when four letters picked without replacement from zezcmcpemecmpz. 3/2002 Two letters picked without replacement from {d: 1, l: 1, z: 1, b: 4, g: 1, o: 4}. What is prob of sequence zb? 1/33 Calculate prob of sequence mpo when three letters picked without replacement from {m: 8, o: 1, j: 8, p: 1}. 1/612
Solve 5*i - 2*y + 1 = 0, -244*i + y = -248*i - 6 for i. -1 Solve -k = -58 + 55, 5*k - 15 = 4*p for p. 0 Solve -11 = -13*g + 18*g + d + 4, 0 = -3*d for g. -3 Solve 5*z = -3*t - 14, -740*z = -738*z + 5*t + 17 for z. -1 Solve -2*m + 13 = -a, -193*m + a = -192*m - 10 for m. 3 Solve -4*g = h - 1, -36140*h - 4 = -36138*h + 2*g for h. -3 Solve 2*f = -407*b + 402*b + 15, 0 = -5*b - f + 10 for b. 1 Solve -88*t = 4*q - 87*t + 11, 2*t = 2 for q. -3 Solve -c - 7403 = -3*l - 7405, -3*c - 8 = 5*l for l. -1 Solve 4*h + 5*q = -15, -3*h = q - 798 + 801 for h. 0 Solve 202*x - 201*x - 29 = 5*t, 4*x = 2*t + 26 for x. 4 Solve 2*d = 4*n + 225 - 197, 5*n + 37 = 3*d for n. -5 Solve -2*u - 5*r = 19, -66*r - 60 = 36*u - 70*r for u. -2 Solve 0 = 2*s - 5*t + 1, -4*s + 6*s - 3*t = 1 for s. 2 Solve 21*r - 15 = 15*l + 16*r, 2*l + 13 = -3*r for l. -2 Solve -4*l - 1366 + 1435 = -13*i, 2*i + 7 = -3*l for i. -5 Solve -2*h + 28*m - 29*m = -102 + 96, 0 = -4*h - m + 16 for h. 5 Solve 8261*k - 8265*k + 4*x = 28, -7*k - 7 = 2*x + 33 for k. -6 Solve -12*o - 24 = 0, 2*o = -35*b + 39*b + 9 + 19 for b. -8 Solve -l = -8*r + 29, 60*l - 58*l = 2*r - 16 for r. 3 Solve -3*r + 21 = 3*t + 9, 4*t - 5*r = 52 for t. 8 Solve -21 + 16 = -2*u + z, -4*u - 4*z = -16 for u. 3 Solve 503*k - 509*k = 3*n - 18, -2*n - 20 = -4*k for n. -2 Solve p - 4*v = 45, -4*v + 157 - 220 = 5*p for p. -3 Solve -5*l + 30 = -4*m + 37, -2*m + 36 = 4*l for m. 8 Solve -68*b - n + 3 = -73*b, 4*b = n - 3 for b. 0 Solve 85*b = y + 81*b - 15, -2*y + 18 = -4*b for y. 3 Solve -2*a = 4*l - 6, 15 = -21*a + 24*a for l. -1 Solve -2*w - 1 = 6*k - 5*k, 5*k + 5 = 3*w for k. -1 Solve 0 = -2*l - b - 3, b = 5*l - 3339 + 3329 for l. 1 Solve 6 = -a + 4*x + 3, a - 3*x + 2 = 0 for a. 1 Solve 3*j - 2*t + 12 = 0, j + 3*t + 39 = 35 for j. -4 Solve -3*v = 2*b - 15, -1193 = 4*b + 2*v - 1227 for b. 9 Solve 8*p = -2*f + 26, 3*f + 34 - 59 = -5*p for f. 5 Solve 61*y - 2*n + 340 = -7*n, -4*y - 2*n = 34 for y. -5 Solve -4*k + a = -5, 210 = 7*k + 5*a + 181 for k. 2 Solve 2*i - 9 = 3*x, 51 = 3*i - 37*x + 40*x for i. 12 Solve 1296*t - 1295*t + 3*d - 23 = 0, t - 3*d = -25 for t. -1 Solve -5*u - 3*i - 6456 = -6435, -28 = 3*u + 4*i for u. 0 Solve -3*c + 249 = 258, 4*c = -r - 10 for r. 2 Solve -4*t - 7*b - 29 = -12*b, b = -10*t - 5 for t. -1 Solve 5*h + 15 = 5*i, -5*h + 731*i - 11 = 730*i for h. -2 Solve 4*g + 56 - 52 = 0, -2*x = -3*g - 9 for x. 3 Solve 0 = -5*b + 17*s - 13*s - 7, -4*s + 9 = -3*b for b. 1 Solve -3*d + s + 23 = 0, d - s + 133 = 142 for d. 7 Solve 27*c + 3*k + 242 = 173, 2*c + k + 9 = 0 for c. -2 Solve -39294*g + 4 = -39295*g + 6*n, -5*g = 3*n + 20 for g. -4 Solve w = b - 10, -2*w = 4*b - 37 + 21 for b. 6 Solve 2*z = 3*m, -2*z + 4*z = m + z - 1 for m. -2 Solve -w = 4*m + 6, -2*w = 228*m - 223*m + 6 for w. 2 Solve 2*z - 12 = 0, -3*s - 2*s - 7*z + 27 = 5 for s. -4 Solve -2*n + 12*r - 20 = 2*n, -5*r - 3*r + 3*r = -15 for n. 4 Solve 0 = -5*w + 5*o + 20, 0 = -2*w - 583*o + 587*o + 8 for w. 4 Solve z + 20 = 4*r, 11 - 26 = -3*r - 5*z for r. 5 Solve 22 = 11*d - 4*z - 45, -3*d - 4*z = -3 for d. 5 Solve 4*i + 29 = -3*o, 55*i - 31 = 59*i + o for i. -8 Solve -5*c = 3*m - 18, -4*c - m - 1 + 14 = 0 for c. 3 Solve -36 = -5*m - 3*r, -5*m + 503 = -r + 455 for m. 9 Solve 3*j - 18 = -2*b, 2*b + 833 = 5*j + 819 for b. 3 Solve -26*k = -4*s + 152, -5*k + s = 2*s + 31 for k. -6 Solve 5*j - o = -2*o + 10, 5*j - 40 = 5*o for j. 3 Solve h - k + 8 = 12, 20 = -2*h - 5*k for h. 0 Solve 1466*r + 38 = -4*m + 1469*r, -48 = 4*m + 2*r for m. -11 Solve -n + 2 = 2*o, 9*o + 5*n = 6*o - 97 + 93 for o. 2 Solve 0 = -5*a - 3*z - 19, 0 = 5*a + 149*z - 148*z + 13 for a. -2 Solve -5*g + 344*r + 5 = 343*r, 0 = 4*g + r - 13 for g. 2 Solve -5 = -w + 2*d, -54*d = 2*w - 51*d + 4 for w. 1 Solve 4*r - 6 = 5*k, -210*k + 16 = -208*k + 3*r for k. 2 Solve 16 = 4*d + t, -21 = -5*d + 112*t - 113*t for d. 5 Solve -5*c + 15 = 3*q, 0 = -18*c - 4*c - 4*q + 112 for c. 6 Solve 39*v - 37*v - 20 = 2*l, -1 = 5*l + 2*v for l. -3 Solve -j - 3*j = 7*m - 26, -7 = -2*j - 1 for m. 2 Solve p - 22 = -4*r, p - 17*r = -42 - 41 for p. 2 Solve -11*q + 3*q + 52 = -4*z, 0 = -4*z - 12 for q. 5 Solve 31*h = 27*h - 29*i - 35, -4*h = -3*i + 67 for h. -16 Solve -t - 164 + 159 = 4*r, -4*r + 4 = 4*t for r. -2 Solve -5*c - 5*t - 5 = 0, 18*t + 3 = -4*c + 15*t for c. 0 Solve 4*g = -2*a + 22, -11*g + 19 = -a - 7*g for a. 1 Solve -2*c - 52 = -4*r - 70, 4*c + 6 = r for c. -3 Solve -5*t - 58 = 608*u - 610*u, 9*u = -t - 21 for u. -1 Solve 3*p + 289 - 275 = o, -3*o + 12 = -3*p for p. -5 Solve -5*t = -2*y + 43, -2*t - 326763 + 326761 = 3*y for y. 4 Solve -2*n + 18 = 44*d - 48*d, 3*d - 4*n = -26 for d. -2 Solve 2 = 3*p + 2*f, 2*p + 416*f = 414*f + 4 for p. -2 Solve -1260 = -2*p - 3*u - 1285, -25 = p + 4*u for p. -5 Solve -25 = -9*v + g, 0 = -5*v - 8*g + 16*g - 6*g + 11 for v. 3 Solve 16*z - 23*p + 135 = -18*p, -5 = -2*z + 5*p for z. -10 Solve 4*h - 159 + 189 = 2*b, -3*b - 5*h + 1 = 0 for b. 7 Solve 325*d - 321*d + l - 27 = 0, -15*d + l + 125 = 0 for d. 8 Solve 5*a + 4*o + 579 - 511 = 0, a = 3*o + 51 for a. 0 Solve -3796*n - 8 = -3*l - 3794*n, -3*n = 4*l - 5 for l. 2 Solve 5 = -3*q + 2*h, 172538*q - 172535*q + 2*h = 11 for q. 1 Solve 27 = 2*i + 4*n + 51, n = -i - 11 for i. -10 Solve 5*m - 26 = x, 22*x - 20 = m + 26*x for m. 4 Solve -2*t + 301*y - 10 = 304*y, 4*t + 3*y = -14 for t. -2 Solve 3*y + 3*z - 57 = 0, -19*z - 97 + 38 = -2*y for y. 20 Solve 2*a = -2*b + 10, 32 = -54*a + 58*a for b. -3 Solve -3*o - 7*m = -12*m - 49, o + 4*m = -46 for o. -2 Solve -5*i = 5*l + 45, -163*l + 26 = -2*i - 167*l for i. -5 Solve 4*z - 302*s - 16 = -305*s, 4*s - 11 = 5*z for z. 1 Solve -3*m = 2*o + 2, 22*o - 19*o - 31 = 4*m for o. 5 Solve -60 = 5*x - 6*m, 5*x - 2*m - 6734 = -6774 for x. -6 Solve 9*h - 10 = 4*h, -7*h + 34 = -6*k + k for k. -4 Solve k - 3*j - 2 = 0, 33 = 5*k + 3*j + 59 for k. -4 Solve 25*c - 21*c - 2*q = -6, c + 2*q = 6 for c. 0 Solve -220*a = -224*a - 24, 4*k + 2 = -a for k. 1 Solve 83*m - 89*m - 18 = 0, 5*k = 5*m - 5 for k. -4 Solve 148*m - 149*m = -5*x + 2, 4 = -2*m + 3*x for m. -2 Solve -13 = -5*u - 3*w, -8002*u = -8007*u - 4*w + 14 for u. 2 Solve 0 = 2*s - 10*b + 8, 3*s = 7*s - 4*b + 32 for s. -9 Solve 5*s + 4*d - 15 = 0, 1 - 16 = -5*s - 2*d for s. 3 Solve 3*c + 9 = 3*x - 39, 169*x = 7*c + 172*x + 2 for c. -5 Solve -2*u - 9 = 5*q, 51*q - 4*u - 7 = 50*q for q. -1 Solve -i + 32 = 2*l + 33, -52 = -3*i + 5*l for i. 9 Solve -31368*k + 31364*k - 96 = 5*m, -74 = -4*m + 2*k for m. 4 Solve 6*q - 17 = 5*s, q - 125 = 3*s - 120 for q. 2 Solve -4*o = -7*k + 18, 4*k - 28*o + 25*o = 16 for k. -2 Solve 4*m - 22 = 5*d, 18*m = -3*d + 24*m - 24 for d. -2 Solve -4*l - 4 = 4*n, 4383*l = -n + 4388*l + 17 for n. 2 Solve -476*h + 480*h + 7*q + 28 = 0, -3*h - 3*q - 21 = 0 for h. -7 Solve -5*b + u - 36 = 0, 3*b - 5*u + 52 - 26 = 0 for b. -7 Solve 2*h + 568 = 4*r + 550, -2*r + 2*h + 10 = 0 for r. 4 Solve -g - x + 4 = 0, -5*x - 35 = -7*g + g for g. 5 Solve -3*i + 7 = -k, -19*k = -2*i - 24*k + 33 for i. 4 Solve 4*p - 5*v = 0, -2*v + 531 = 2*p - p + 518 for p. 5 Solve -3490*l = -3487*l - 4*y + 6, -3*y = 5*l - 19 for l. 2 Solve q = 5*u + 43, -2589 = -2*q + 4*u - 2551 for q. 3 Solve d = b + 3, -15*d - 4*b - 59 = -47 for d. 0 Solve 5*o = -8*i + 3*i - 60, -5*o = i + 68 for i. 2 Solve 70*c - 66*c + 2 = -2*w, -4*c = w - 3 for c. 2 Solve 4*f = 3*i - 13, 3*f = 424*i - 421*i - 15 for i. 7 Solve 4*y = a - 17, -132*a + 133*a + 4*y = -7 for a. 5 Solve -3*f - 10 = 4*m - 0, 0 = -f - 8*m - 30 for f. 2 Solve 4*o + 20 = 0, -4*h + 5*o - 13 + 34 = 0 for h. -1 Solve 4*u + 1 = -n, 33*u - 6 = -60*n + 62*n + 37*u for n. -5 Solve -i - 4 = -3*z, 3*i - 11104 = 4*z - 11116 for z. 0 Solve 0 = -4*n - 4*o - 12, -3*n + 2*o + 3 = -3 for n. 0 Solve 4*u - 2 = 2*u + 2*b + 12, 0 = b + 12 for u. -5 Solve -75*n + 4 = -79*n - 4*h, -37 = 9*n + 2*h for n. -5 Solve 0 = x + 2*t + 6, -1128*x + 1132*x + 5*t = -15 for x. 0 Solve -2*g + 4*g + 6 = 3*w + 16, -8*w + 5*g - 27 = 0 for w. -4 Solve 1051*o - 1056*o - 25 = -t, 3*t = -3*o + 21 for o. -3 Solve 173 - 94 = 3*h - n, 4*h + 3*n - 88 = 0 for h. 25 Solve 5 = 3*w + 2*q, 507*q = 5*w + 508*q - 13 for w. 3 Solve 12 = -29860*d + 29864*d - 4*w, 5*d + 4*w = 15 for d. 3 Solve 0 = 40*p - 6*h + 50, -2*p - 72*h = -71*h + 9 for p. -2 Solve -r + 1 = -5*q, -3*r + 4*q + 1274 = 1282 for r. -4 Solve 3*n = -1042*w + 1039*w - 15, -4*w = -n + 20 for n. 0 Solve -8*w + 10*w = -6*b + 16, -3*w = 6*b - 15 for b. 3 Solve -12 = -2*b - a, 10*a = 3*b + 2674 - 2646 for b. 4 Solve 1 = -1100*o + 1099*o + 20, 2*o - 33 = -5*j for j. -1 Solve 5*o - 21 = 2*y, 2*o - 19*y + 16*y - 4 = 0 for o. 5 Solve 13*i - 17*i + 10 = -2*f, -3*f = -2*i - 1 for i. 4
Let r(i) = -7*i - 1. List the prime factors of r(-2). 13 Let q = -1 + 1. What are the prime factors of q - (-72)/((-2)/(-1))? 2, 3 List the prime factors of (392/2)/4 - -4. 53 Let v = -4 + 10. Let r(l) = -l**2 + 8*l - 8. What are the prime factors of r(v)? 2 Suppose 0*t = -3*t + 12. Suppose 60 = t*p - 12. What are the prime factors of p? 2, 3 Suppose -2*o - 4*n - 6 = 0, 3 = 3*o - n - 2. Let w be -7 - 0*o/(-3). List the prime factors of 2 + -3 + w/(-1). 2, 3 Let j = 18 + -13. Suppose -4*l + 3 = -3*s, 0*l - 4*l - s = 17. Let d = l + j. What are the prime factors of d? 2 What are the prime factors of 2363/9 - 104/(-234)? 263 Let z = -3 + -3. Let t be z/(-15)*(-1 + 11). Suppose t*y - 9*y - 5*k + 25 = 0, -5*y - k + 37 = 0. List the prime factors of y. 2 What are the prime factors of 10/(-4)*11/((-66)/156)? 5, 13 Let z(m) = -2*m**2 + 3*m + 1. Let a(t) = -9*t**2 + 13*t + 4. Let k(s) = -6*a(s) + 26*z(s). Let f be k(3). Let j = f - 0. List the prime factors of j. 2, 5 What are the prime factors of (36/(-8))/(((-9)/(-6))/(-3))? 3 Suppose -8*b - 8 = 4*r - 4*b, r - 28 = 5*b. Suppose 0 = -r*d + 2*v + 55, 0 = 3*d + 3*v - 0*v - 60. List the prime factors of d. 19 Let p = -17 - -21. Suppose 0 = t + p - 7. What are the prime factors of t? 3 Suppose -5*q - 153 = -2*c, c = -5*q - 13 + 52. What are the prime factors of c? 2 Let i(u) = u + 32. Let a be i(0). Suppose p = 5*p + 3*d - 17, -3*p - d = -14. Suppose k - p*k = -a. What are the prime factors of k? 2 Suppose 3*t = -9, -4*t - 12 = -2*z + 5*z. Suppose z*p - 4*p - 5*v - 41 = 0, -47 = 4*p + 3*v. List the prime factors of 2 + -1 - (p + 4). 11 Suppose 33 = -0*b + b. List the prime factors of b. 3, 11 Let b(l) = -l**2 - 3*l - 3. Let h be b(-3). Let g = 7 + h. Suppose p = -5*k + 3*p + 27, 4*p = -g. What are the prime factors of k? 5 Let z be 1/1 - (-2 - 93). Suppose 4*s + 38 = d + 10, 2*d + 2*s = z. Suppose -3*l - f + 19 = l, 4*l - 4*f - d = 0. List the prime factors of l. 2, 3 Suppose 17 = 3*s - 2*a, -2*s - 14 = -5*s - a. Suppose s*f - 58 = 62. What are the prime factors of f? 2, 3 List the prime factors of ((-15)/(-2))/(1/2). 3, 5 Suppose 4*w - 58 = -i + 82, 4*i + 3*w = 612. List the prime factors of i. 2, 3, 13 Let b = -142 + 237. Suppose 5*u - 136 + 31 = 5*c, -5*c = 5*u - b. What are the prime factors of u? 2, 5 Let u(w) be the first derivative of w**3/3 - 11*w**2/2 + 6*w - 4. List the prime factors of u(11). 2, 3 Let r = -200 - -436. What are the prime factors of r? 2, 59 List the prime factors of 8*(1 - (1 + -4)). 2 Let k = 6 - 2. List the prime factors of 123/(4 - 1) - k. 37 What are the prime factors of -3*295/(-10)*2/3? 59 Let l(q) = -q**3 - 8*q**2 + 6*q - 10. Suppose -5*v = 23 + 22. List the prime factors of l(v). 17 Let a be -1*(-6)/2*1. Let x = 3 + a. Suppose -3*i + x*i - 24 = 0. What are the prime factors of i? 2 Let i(p) = -p**2 + p + 6. Let l be i(0). Suppose l*h - 2*h - 96 = 0. What are the prime factors of h? 2, 3 Let l(d) = -d - 8. What are the prime factors of l(-13)? 5 Suppose 75 = 5*j - 5*p, -j + 2*p - 7 = -27. List the prime factors of j. 2, 5 Let r = -20 - -45. What are the prime factors of r? 5 Let r be (-1)/(-3) - (-210)/18. Suppose 4*h - r - 4 = 0. Suppose -l = -h*l + 6. What are the prime factors of l? 2 Let a(k) = k**2 + 1. Let v(i) = -8 + 2*i**2 - 6*i**2 + 0*i**2 + 3*i. Let w(n) = -3*a(n) - v(n). List the prime factors of w(4). 3 Let x(i) = i**3 - i**2 + i + 5. Let z be x(0). Suppose -3*w + 2*k + 8 = w, 4*w + z*k - 22 = 0. What are the prime factors of w? 3 Let a(o) = o**2 - 4*o + 6. Let d be a(4). Let u(m) = m**2 - 6*m + 4. List the prime factors of u(d). 2 Let x(f) be the third derivative of 0*f - 1/12*f**4 - 1/3*f**3 - 3*f**2 + 0. List the prime factors of x(-2). 2 Let g(p) = p**3 - 2*p**2 + 2*p - 2. Let u(v) be the first derivative of v**2/2 - 1. Let b be u(2). What are the prime factors of g(b)? 2 Let b = 14 + -19. Let f(j) = j**3 + 6*j**2 + 2*j - 6. What are the prime factors of f(b)? 3 Let y be 1/4 + 597/12. Suppose l - 6*l + y = 0. What are the prime factors of l? 2, 5 What are the prime factors of (-225)/(-10)*(-16)/(-10)? 2, 3 Suppose 4*k = -8 + 140. List the prime factors of k. 3, 11 Let o(j) = -j**2 - 6*j - 3. Let r be o(-5). Let n(m) = -1 - m + r*m**3 + 5*m**2 - m**3 + 0*m**2. What are the prime factors of n(-5)? 2 Let d(b) = -b**3 + 4*b**2 - b - 1. Let v be d(3). Suppose -2*l - 174 = -5*u - 42, v = -5*l. What are the prime factors of u? 2, 13 List the prime factors of (2/(-4))/(3/(-54)). 3 Let a be (-5)/(10/(-64)) + -2. Let u = 42 - a. List the prime factors of u. 2, 3 Let c be 0 - (-2 - (9 - -2)). Let k = -9 + c. What are the prime factors of k? 2 Suppose 6*r - 16 = 8. Let x(g) be the second derivative of g**5/20 - g**4/6 - g**3 + g**2/2 - g. What are the prime factors of x(r)? 3 Suppose -2*a - 1 + 5 = 5*t, -2*a = -3*t - 4. Suppose -3*o = -2*c - 3, -3 = c - 5*o + 2. Suppose c*q + 5*q - 45 = t. List the prime factors of q. 3 Let m(n) be the first derivative of -n**3/3 - 5*n**2/2 + 5*n - 1. What are the prime factors of m(-4)? 3 Suppose o + 0 = 2*z + 9, 2*z + 14 = 2*o. Let p be 1 - (-5)/(o/2). Suppose -p*r + 12 = -3. List the prime factors of r. 5 Suppose 2*z - z = 0. Suppose -4*y + z = -16. List the prime factors of y. 2 Suppose -3*r = -y - 209 - 439, -2*r = y - 437. List the prime factors of r. 7, 31 Let y(x) = -x + 5 - 2*x + 5*x. Let r be y(7). Suppose 2*c - r = j, 2*j + 5 = j. What are the prime factors of c? 7 Suppose -2*w = -3*u + 2*w + 89, 3*u + 5*w = 98. What are the prime factors of u? 31 Let f be (810/35)/((-6)/(-56)). List the prime factors of f/12 - 6/(-2). 3, 7 Suppose -5*k + 27 - 132 = 0. Let w = 32 + k. What are the prime factors of w? 11 Suppose -m + 6*m - 1955 = 0. List the prime factors of m. 17, 23 Suppose -c - 5 - 8 = -3*t, 5*c = -2*t - 14. Let j be 10*(-3 + 1)*-1. Suppose u - j = -t*u. List the prime factors of u. 5 Let s be (-2 + -4)*2/(-4). Let o(r) = 5*r**2 + 0 - 1 + 7*r - r**s - 1 + 3. What are the prime factors of o(6)? 7 Let b be (-100)/(-15)*3/2. Let l = b - 6. Suppose 16 = -l*s, 2*z - s + 12 = -5*s. List the prime factors of z. 2 Let c(a) = -a**2 + a + 28. List the prime factors of c(0). 2, 7 Suppose g + 104 = 3*g. Let l = g - 33. Let v = -13 + l. List the prime factors of v. 2, 3 Let z = 306 + -213. What are the prime factors of z? 3, 31 Suppose 25 = 4*i - 3. List the prime factors of i. 7 Let q(d) = d**3 + 4*d**2 - 5*d + 5. Let o = -5 - 0. What are the prime factors of q(o)? 5 Let d = 72 - -7. Let l = -39 + d. List the prime factors of l. 2, 5 Suppose -c + 3*c = -10. Let n be (c - -1)/(4 + -5). Suppose q = -5*h - 4*q - 10, n*q = -20. List the prime factors of h. 3 Let r(f) = f**2 - 21*f - 8. Let c be r(13). Let s be 2/6 + (-67)/3. What are the prime factors of 4/s + c/(-11)? 2, 5 Let r = 9 + -2. Suppose y - r - 2 = 0. List the prime factors of y. 3 Let f be 3*(-4)/(-1 - 3). Suppose 4*d = f*c + 55, 16 - 61 = -3*d + 3*c. What are the prime factors of d? 2, 5 Suppose 0 = z - 1 + 4. Let k be (z - -47) + (-1 - -2). Suppose 5*i - k = -0*i. List the prime factors of i. 3 Let v = -204 - -129. Let k = -38 - v. Suppose -2*s = -2*u - 12, -3 = -5*s + 3*u + k. What are the prime factors of s? 11 Let o = 139 - 19. List the prime factors of o. 2, 3, 5 Let p(s) = s**3 + s**2 + s + 50. What are the prime factors of p(0)? 2, 5 Let r(h) be the second derivative of -h**5/20 + 5*h**4/12 + h**3/6 - 5*h**2/2 - 3*h. What are the prime factors of r(4)? 3, 5 Let w = -7 - -9. Let m be -1*(w - (3 - 0)). Let v = m + 4. List the prime factors of v. 5 Let w(t) = -t. Let y be w(1). What are the prime factors of 0 + y + (54 - -3)? 2, 7 Let m(n) = -1 - 2*n + n**2 + 4 + 0. List the prime factors of m(5). 2, 3 Let z(x) = -14*x - 3. Let w be 4/(-22) - (-40)/(-22). What are the prime factors of z(w)? 5 Let h = -28 + 63. List the prime factors of h. 5, 7 Let b be (-33)/(-18) - (-1)/6. Suppose 5*k + 7 = -4*v + 51, -b = -3*v + 4*k. Suppose 2*c - v = -0*c. What are the prime factors of c? 3 Let i be 4/(-10) + (-134)/(-10). Suppose 3*n = 5 - 2. Let l = i + n. What are the prime factors of l? 2, 7 Let o = -1 - 4. Let u be (o/4)/(3/(-12)). Suppose 4*x = 4*g - 36, 2*g + u = 3*g + x. List the prime factors of g. 7 Suppose -5*x - 4 = 11. Let f be (x + 2/(-1))*1. Let q = f - -17. What are the prime factors of q? 2, 3 Let o(n) = -7*n - 1. Let t(c) be the third derivative of 9*c**4/8 + 2*c**3/3 + c**2. Let s(w) = -9*o(w) - 2*t(w). What are the prime factors of s(1)? 2, 5
Let r = 834 + -20009/24. Let q(w) = -w**3 - 25*w**2 + 5*w - 546. Let g be q(-26). Is g <= r? True Suppose 4*d = 2*b + 8, 14*b = 13*b + d + 1. Let w be (1/29)/(b/(-4)). Which is smaller: -1/2 or w? -1/2 Let s be (-4)/(5/1259*150/(-375)). Is s greater than or equal to 2522? False Let g(y) = y**2 - 3*y - 22. Let c be g(-3). Let b(t) = 4*t + 15. Let s be b(c). Is -22/9 not equal to s? True Suppose -s - 132 = 4*b + 162, 0 = 3*b + 3*s + 216. Let p be (-48)/36 - (-74 - 1). Let t = p + b. Which is bigger: -2/21 or t? -2/21 Let j = 7 + 34. Let m be ((45/(-6))/(-3))/((-385)/88 + 5). Is m at most j? True Suppose 0 = p + 2*p + 3. Let k = -10 + 16. Suppose 10 - 4 = k*a. Which is bigger: a or p? a Let j be (-2267)/(-5) - (-18)/(-45). Let w = 895 - j. Let k = 14587/33 - w. Is 1 at least as big as k? True Suppose 3*b + k + 7 - 8 = 0, 0 = -5*k + 20. Let s = -1275 - -249897/196. Is b != s? True Let o be (-6)/(-4)*130/(-15). Let x = 18 + o. Suppose 0 = -0*s - 3*s + x*z + 2, 5*s + 4*z = -9. Are -1 and s unequal? False Suppose -6*g + 7*g = -2*n + 138, -5*n = -2*g - 336. Are 64 and n equal? False Let p(a) = 4*a + 4*a - 5*a + 8*a + 12*a + 300. Let o be p(-11). Which is greater: o or 41? o Let o = 19153 + -18671. Is o greater than or equal to 486? False Let t be (-27)/12 - 1/(-4). Let f be ((-35)/t)/(13/(-26)). Let u be 2/6*10/f. Is -5/2 bigger than u? False Suppose 241 = -8*w - 1647. Let d be -3 + ((-3)/w)/(3/696). Suppose 0 = 5*j - 1 - 4. Which is smaller: j or d? d Let n be (-2)/8 - 8397/12. Let y be n/22 - 74/407. Which is bigger: -97/3 or y? y Suppose 2*t + 8600 = -5*g, 4*g + 11*t + 6898 = 13*t. Which is smaller: -1724 or g? -1724 Let p = -88 - -88.01. Let q = 1736 - 1737.3. Is q at least as big as p? False Let r be (-12)/2 - (-366)/(-63)*-1. Let w = 118 + -64. Let q = w - 54. Which is greater: r or q? q Let n(f) = 97. Let r(s) = -s + 48. Let k(i) = 2*n(i) - 5*r(i). Let o be k(14). Which is smaller: o or 20? 20 Let t(d) = d + 4 - 28 - 3. Let s be t(0). Let f be 30*(4 - (-114)/s). Which is smaller: f or -0.1? f Suppose 0*m = -4*m - 4*z + 116, 92 = 3*m + 2*z. Suppose 5*i - 20 = 3*f - 4*f, -4*f + m = -3*i. Let o be (-6)/(-5)*((-66)/18 - -12) - 2. Is o greater than f? False Let o be (-4)/4*(-2)/(-26). Suppose -x + 4*h + 17 = 0, 337*x = 339*x - 4*h - 18. Is x < o? False Let k = 4.59 + -4.8. Let w = 7.79 - k. Let a = 13.8 + -12.8. Is w greater than a? True Let o be (-9 + (-738)/(-81))*30. Which is smaller: o or 59? o Let n be ((-280)/60)/(3 - (-84)/(-27)). Let w be (-7 + 6)/(81/n + -2). Which is smaller: w or 17? w Suppose -28*i + 26*i - 5*d - 79 = 0, -6*d - 106 = 4*i. Let h = 449 - 2236/5. Is h at least i? True Let p be 111/18 - (-3)/(-18). Let c be ((-6)/4*(-2)/21)/((-6890)/(-294203)). Which is smaller: c or p? p Let c = -314 - -352. Suppose 15*w = c*w. Which is greater: 1/12 or w? 1/12 Let k(d) = 3*d**3 + 35*d**2 - 12*d - 70. Let s be k(-12). Which is smaller: 14 or s? s Let i = 2494612/13455 + -11/2691. Let r be 3 + 543/(0 - -3). Let j = r - i. Do j and -1 have the same value? False Let p = -737.7 - -737.5. Is p greater than or equal to 2/63? False Let w = 0 + 17. Let u be (-4)/(-9) + 2968/126 + -3. Is u <= w? False Let z(a) = -a**3 + 11*a**2 + 37*a - 18. Let b be z(14). Suppose -l + 7 + 23 = 0. Let v = l + b. Is -57 smaller than v? False Let v be 11/(15/(-8) - -2). Suppose 3*x = -l - v, 0 = 5*l - 20 - 5. Which is greater: x or -33? x Let k be (1/7)/((-2)/(-44)). Let r(i) = i**2 + 133*i + 2264. Let t be r(-20). Which is smaller: t or k? k Let j(z) = -z**3 - 5*z**2 - 7*z - 10. Let w be j(-4). Let h be (-5)/(-5) - (9 + w). Let m = -11 - h. Is -2/67 less than m? False Suppose 45*s + 47 = 184*s + 186. Is s at least -50/209? False Let o = -24.09 + 0.79. Let k = o - -19.3. Which is smaller: 2/3 or k? k Let y(d) = 118 - 224*d + 111*d + 109*d. Let x be y(27). Does 100/9 = x? False Let h(w) = 7*w + 6. Let o be h(-5). Suppose 304 = -8*i - 71*k + 69*k, 4*k = -32. Which is smaller: o or i? i Let u = -233 + 269. Let z = -35.9 + u. Is 2/91 greater than or equal to z? False Let q(v) = -4*v**2 + 45*v. Let k be q(11). Let s be 7074/297 + 2/k. Is 28 at most s? False Let d be (-10)/(-2)*63/(-63) - -3*33. Which is greater: 112 or d? 112 Let u(n) = -3*n + 7 + 45*n**2 + 4 - 13. Let v be u(-1). Suppose v = -s + 4*z, -z + 100 - 17 = -3*s. Is s at most -25? True Let t = 681 - 681.1. Which is greater: t or 0.1954? 0.1954 Let d = -371 + 806. Let x be 1392/d*((-15)/(-2))/1. Which is bigger: 23 or x? x Let v = -773 + 537. Suppose 1100*g + 249631 = -9969. Is v bigger than g? False Let l = 294731 - 5320778745/18053. Is -1 != l? True Let r be (-2)/(-6) + 17/(-24). Suppose 46*u - 44 - 48 = 0. Let v be (26/78)/(u/6*-1). Is r greater than v? True Suppose -25 = t + 5*x, -t + 0*x = 2*x + 10. Suppose -8*g + 1392 = -t*g. Suppose 0 = -7*v + v + g. Are 31 and v nonequal? True Let h be (-17)/(-85) + (-478)/(-10). Let g be -1*(-2)/19*(-16)/h. Suppose 3*t = 1 + 2. Which is bigger: t or g? t Suppose -7*k + 3*i = -12*k - 480, 5*i - 254 = 3*k. Which is bigger: -108 or k? k Let w be 6801/1260 - (-5)/(-240)*4. Is 5 greater than or equal to w? False Suppose 0 = -3*a + 9, -3*a - 2*a = 5*f + 35. Let l be (-254)/(-13) + -2*(-10)/f. Which is greater: 17 or l? l Let b(c) = c**3 + c**2 + c + 1. Let i be b(0). Which is smaller: i or -35/458? -35/458 Suppose -u = -2*u + 4*m - 51, 133 = -3*u + 2*m. Let r = -181 - u. Let j = -688/5 - r. Is -7/2 at least as big as j? False Let v = 267 + -268. Let r = -11 - -113. Are v and r nonequal? True Let g = -14/13 - -124/91. Let n = 1.2 - -66.8. Let y = 68.19 - n. Is g > y? True Suppose -5*r = -2*r - 6. Suppose 2*h + r*p = 30, p + 2*p + 15 = 0. Suppose -c - 6 = -g, c + 4*c + h = 0. Which is smaller: g or 2/5? 2/5 Let i be (-87 + 15)/12 - -5. Which is greater: -2/4525 or i? -2/4525 Suppose 5*m = 10, m + 106 = -16*y + 20*y. Let c be ((-9)/y)/((-5)/(-102)). Is c less than -6? True Let d be (-15)/(-10) + (-365)/10. Suppose 4*i + 4*n + 344 = 0, n - 166 = 2*i - 0*n. Let l = i - -50. Which is smaller: l or d? d Let j(u) = -u**2 - 15*u - 43. Let s be j(-5). Suppose -231 + s = 16*l. Which is bigger: l or -8? -8 Let s = -16.18 - -2.88. Let b = s - -13.2. Which is bigger: 2 or b? 2 Let m(p) = -p**2 - 2*p + 5. Suppose d - 9 = -d - 5*r, -3*d + r - 12 = 0. Let x be m(d). Suppose x*u = 4*u - 30. Is u greater than 16? False Let c = 0.03554 + -0.03554. Which is smaller: c or -1219? -1219 Suppose j + 4*j + 8 = -2*t, 4*t = -3*j - 2. Let u be 5895/63 - (34/(-14) - j). Let i = u + -94. Is -3/40 < i? True Let g = 756 + -738. Are g and 19 unequal? True Let y be (-13260)/(-2550) + 14/(-2). Which is greater: y or 3/71? 3/71 Let g = -28 - -12. Suppose -4027 + 4293 = 7*b. Let t = g + b. Is 21 smaller than t? True Let a(y) = y**2 + y - 1. Suppose 7 = -2*i - 1, w + 2*i = -2. Suppose 8*f + 15 = 3*f, -2*f = -2*p + w. Let r be a(p). Which is greater: -1/4 or r? -1/4 Suppose -33*t - 1870 = -44*t. Let x = -233 + t. Is -62 greater than or equal to x? True Suppose -12*o = -18*o - 726. Let l = o + 123. Let b be (l - 34/8)*176/726. Which is smaller: b or 0? b Let a = 1584 + -1583.7. Is a at most as big as -1047? False Let z = 88033/24624 + 5/1296. Is -1/2 < z? True Let s = -1028.7 - -1023.7. Let j = -1 - -4.1. Let b = j + -3. Which is greater: b or s? b Let f be (-57)/2 - (-3)/(-6). Let v = f + 49. Suppose 4*j = 5*r + 36, 2*j = -0*r + 3*r + v. Which is bigger: -3 or r? -3 Let m = 168 + -168. Let x be ((-2)/(-4)*m)/(-1 + 5). Let b = 842/7 + -125444/1043. Are x and b unequal? True Let v be 32/(-4) - 0/(-1). Let t be 177/30 - (-2 - v). Which is greater: 0 or t? 0 Let o be 92/6*42/(-28). Let y = 22 + o. Suppose -99*m = -95*m + 8. Is m less than or equal to y? True Let o(t) = -176 + 30 + 1 - 128 - 100*t - 36. Let n be o(-9). Is n > 590? True Let d = 6443 - 38629/6. Let w be 3*(-8)/(-6) - 0. Let u = 9 - w. Which is greater: d or u? u Let c = 6834 - 6834. Suppose 16 + 85 = r. Let l = r - 2119/21. Which is smaller: l or c? c Let w(h) = h**3 + 6*h**2 - 7*h + 3. Let b be (-2 - 0)/(4/14). Let d be w(b). Suppose 0 = -d*n + 4*c - 4 - 0, -c = -5*n - 35. Which is smaller: n or -26/3? -26/3 Let a = 10981 + -5160. Is a greater than or equal to 2/3? True Let w be (-9)/(-6)*(-8)/(-6). Let m be 3/w - (-219)/(-144). Suppose 12 = -66*i + 54*i. Which is greater: i or m? m Let m be (-3)/6*3/5. Suppose 10 = 4*z + 2*w, 4*z - 4*w = 8*z - 16. Let y(q) = q**2 + 6*q - 7. Let p be y(z). Which is greater: m or p? p Suppose 0 = -0*n + n + 5. Let x = 3 + n. Let o = -1590 + 17476/11. Which is greater: o or x? o
Let b be -2 + (22 + -4 - 1). Is 1772/b + 8/(-60) a multiple of 22? False Suppose -9 = 3*d, -5*l - 4*d + 1703 = -5*d. Does 34 divide l? True Let z be ((-4)/(-10))/((-3)/15). Let j = 0 - z. Let b = 0 + j. Is b even? True Suppose 0 = 4*h + 5*c + 15 + 5, -20 = 5*c. Does 14 divide 96/8*(h - -3)? False Let f = 194 - 47. Does 60 divide f? False Suppose 22 + 4 = 2*k. Suppose -5*v - 4 = y + k, 0 = -y - v - 1. Is -3 + 6*(7 - y) a multiple of 10? False Let r = -13 - -28. Let v = -8 + r. Is 7 a factor of (50/6)/(v/21)? False Suppose -4*o = -0*o - 8. Suppose o*h - 10 = -0*h. Does 3 divide h? False Let b(p) = 3*p - 21. Suppose -2*d = -11 - 17. Is b(d) even? False Let x be 8/(-44) + 40/(-22). Let f be x/6*(-2 - -8). Is -1 + -1 - f - -56 a multiple of 25? False Suppose 0 = -33*y - 2710 + 14095. Is y a multiple of 37? False Suppose x = 18 - 2. Let a = -12 + x. Suppose 0 = 4*y - 8, -3*k + 12 = k - a*y. Is k a multiple of 3? False Let v = 6 - -44. Let p = v + -19. Is 15 a factor of p? False Let f(j) = -j**3 - 6*j**2 + 4. Let a be (-80)/14 + 10/(-35). Let t be f(a). Suppose -2*l + 6*l = 20, 92 = 4*v - t*l. Is 14 a factor of v? True Suppose 3*q - r = 96, 2*r = -4*q - r + 141. Suppose -20*f + q = -19*f. Suppose -b + f + 33 = 0. Does 22 divide b? True Let x(w) = -w**3 - 7*w**2 - w + 12. Let d be x(-5). Let c = d + 59. Suppose 5*g = s - c + 6, 156 = 4*s - g. Is 10 a factor of s? True Let m = 1519 - 1120. Is m a multiple of 57? True Let w = 80 + -65. Suppose 0 = 3*h + w, -2*v + 4*h - 5*h = -37. Is 11 a factor of v? False Suppose -14*z = -24*z + 1120. Is z even? True Suppose 0 = -16*m + 2391 + 761. Is m a multiple of 32? False Let f(z) = -32 + 21 + 6*z + 244 - 7. Is 16 a factor of f(0)? False Let k = 3 + -7. Let y = 1 + k. Does 11 divide (-2 + y)*133/(-35)? False Let p be ((-3)/(-9))/(1/12). Suppose 153 = 3*l + 2*k, p*l - 190 = 4*k - 2*k. Let x = l - 27. Does 22 divide x? True Let s be 403/39 + (-1)/3. Let j be (-9)/(-4) - (-3)/(-12). Let f = j + s. Is 7 a factor of f? False Suppose -6528 = -13*v - 3*v. Is 11 a factor of v? False Does 14 divide 5 + 6 + -9 + 432? True Let v(p) be the third derivative of -7*p**4/24 - 17*p**3/6 + 7*p**2. Does 7 divide v(-6)? False Let z(k) = 1. Let b(a) = 15*a. Let c(o) = -b(o) - 5*z(o). Is c(-5) a multiple of 35? True Let t be 254 + 2 - (3 - 5). Let v = 156 - t. Let b = -56 - v. Is b a multiple of 12? False Let l = 178 - -352. Does 10 divide l? True Let j = -110 + 26. Let p = 132 + j. Is 16 a factor of p? True Let u = -91 + 211. Is 8 a factor of u? True Does 16 divide ((-87)/6)/(1/(-2))? False Let i(d) = d**3 - 3*d**2 - d - 5. Let g be (-12)/24 - 9/(-2). Is i(g) even? False Suppose -2*w = -w - 2. Suppose p - w*z - 78 = 0, 4*z - 6 + 18 = 0. Does 24 divide p? True Suppose 127 = m + r, -3*m - r = r - 378. Suppose -2*n + 2*k + 30 = -m, -2*n + 3*k + 159 = 0. Is 24 a factor of n? True Let i be (-3)/(12/(-8) + 0). Let g be ((-3)/(-3) - -45) + i. Suppose 10*t - 8*t = g. Is t a multiple of 8? True Suppose -4280 + 878 = -9*j. Is 18 a factor of j? True Suppose -4*b + 164 = 5*z, 3*b = -2*z - b + 68. Let t = -25 + z. Does 7 divide t? True Is 10 a factor of (-2)/(-3)*-3*(20 - 175)? True Let n(q) = -q**2 - 5*q + 2. Let k(o) = -3*o + 16. Let v be k(7). Let p be n(v). Is 6 a factor of 82/4 - (-1)/p? False Let j(k) be the third derivative of -k**6/90 - 2*k**5/15 - 7*k**4/24 - 3*k**2. Let o(b) be the second derivative of j(b). Is 7 a factor of o(-7)? False Suppose -34 = 5*z - 119. Suppose -z*a = -21*a + 100. Let i = 39 - a. Is i a multiple of 3? False Suppose o - 4*g + 15 = 0, 2*o + 5*g - 45 = -2*o. Suppose 0 = o*b - p - 523, 0 = 4*b + p + 3*p - 428. Is 30 a factor of b? False Let k(v) = 104*v + 208. Is 52 a factor of k(10)? True Suppose 0 = 4*k + v + 50, 4*k - 4*v = -3*v - 54. Is (-3 + 0)/(1/k) a multiple of 9? False Let n(p) = p**2 - 3*p - 3. Let b be 1 - 0 - (-1 + -4). Let d be n(b). Suppose -4*o + d = -3*s - 10, 0 = -3*s - 9. Is o a multiple of 2? True Let s = 655 - 89. Is 27 a factor of s? False Suppose -2*l - 68 = -3*o, -l - 2 = -2*l. Is 14 a factor of 63/2*64/o? True Let v(w) = 7*w + w + 15 - 13*w - 10*w. Does 8 divide v(-7)? True Suppose 4*o - 34 = 114. Suppose -w = -92 + o. Is 5 a factor of w? True Suppose 8*i - 232 = 488. Suppose 0*y = -2*y + i. Does 13 divide y? False Suppose 23*z + 9 = 26*z. Let m(o) = 8 - 2 + 6*o - o**z - 2*o**2 + 2*o**3 + 7*o**2. Is m(-3) a multiple of 2? True Let z = -25 + 30. Is -1*(-5)/(z/16) a multiple of 4? True Let m(p) = -7*p**2 + 6 - p - 3*p + 4*p**3 - 3*p**3 - 3. Let u be m(8). Let v = -21 + u. Is 14 a factor of v? True Let k(r) = 1 + r**2 + 3 - 3 + 5 - 5*r. Let p be k(4). Suppose -x = -p*v + 8, 2*v + 5*x - 32 = -0*v. Is v a multiple of 2? True Let a(i) = 3*i**2 + 8*i - 12. Does 34 divide a(4)? True Let o = 51 + -53. Is o/(-4) + ((-4)/8 - -2) even? True Let r(m) = -2 + 1 - 3*m - 12 + 6*m. Let n be r(6). Suppose -88 = -4*j - z, 0 = 3*j - n*z - 38 - 5. Is j a multiple of 7? True Suppose 3*i = 4*i - 2*j - 1211, 4*i - 4856 = 5*j. Is 42 a factor of i? False Suppose h - p - 457 = 22, h + 2*p - 491 = 0. Does 23 divide h? True Suppose -o - 739 = -3*f, 11*f - 980 = 7*f + 4*o. Is f a multiple of 13? True Let k = 37 - -62. Suppose 0 = -4*o - 0*o - 4, -4*p - 3*o + 281 = 0. Let f = k - p. Is f a multiple of 8? False Suppose 0 = 3*u - 79 - 11. Let t be -4 + u/5 + 56. Let z = -35 + t. Does 10 divide z? False Let b(l) = 4*l + 28. Let x be b(-6). Suppose 0 = x*v - v - 405. Does 15 divide v? True Let o = 374 - 266. Does 48 divide o? False Let k = 26 + -18. Suppose 2*v - 5*z = 4, -2*z + 26 = 2*v + k. Suppose v*g + 52 = 11*g. Is g a multiple of 6? False Let i(g) = -10*g**2 + 3*g**2 + 0*g**3 + 0*g**3 + g**3. Let w be i(7). Suppose w = k - 10 - 6. Does 11 divide k? False Suppose 2*v + v + 447 = b, -1371 = -3*b + 3*v. Suppose 4*o - b = -178. Suppose -t = -o - 22. Does 31 divide t? True Let o(h) be the third derivative of 0*h + 3/2*h**3 - 10*h**2 + 0 + 3/10*h**5 - 5/8*h**4 - 1/120*h**6. Is o(17) a multiple of 16? False Let i be (6/5)/(40/100). Suppose 2*q + q - 2*m = 401, 3*q + i*m = 411. Does 19 divide q? False Let t be -20*(3 - -1)*-1. Let a(g) = g**3 + 23*g**2 - 25*g + 5. Let h be a(-24). Let x = t - h. Is x a multiple of 17? True Suppose 3*n + 2 = 4*n. Let h be 872/36 + n/(-9). Let x = h - 16. Is x a multiple of 4? True Let v(y) = y + 2. Let o be v(3). Suppose -o*n + 48 = 3*k - k, 2*n - 4*k - 24 = 0. Let t = 47 - n. Is t a multiple of 10? False Suppose x = 2*x - 2. Suppose d + x*d = -63. Let f = d + 26. Is 3 a factor of f? False Let b = 16 + 5. Is 8 a factor of (-27 + b)*(-136)/6? True Let o(y) = 12*y - 4. Suppose -5*a - 17 = 18. Let v = a + 9. Does 7 divide o(v)? False Suppose -28*s + 22*s + 26880 = 0. Is 16 a factor of s? True Let r(s) = -37*s**3 - 2*s**2 + 3*s + 5. Does 49 divide r(-3)? False Suppose 2*r - 8 = 36. Let h = r + -18. Suppose -2*l = -4*o + 162, 56 = h*o - 2*o + 4*l. Is o a multiple of 8? False Let y(q) = q**3 - 8*q**2 - 10*q + 11. Let n be y(9). Suppose n*f = 3 - 9, -903 = -3*b + f. Is 20 a factor of b? True Let w(p) = -p**3 - 3*p + 126. Is w(0) a multiple of 9? True Suppose -2*d + 58 = -s - 183, 491 = 4*d + s. Is d a multiple of 4? False Let a(n) be the second derivative of -n**5/60 + 5*n**4/24 + 7*n**3/6 + 2*n**2 - 8*n. Let j(s) be the first derivative of a(s). Is 11 a factor of j(4)? True Let f = -3795 - -5625. Does 60 divide f? False Suppose -2*v + 6*x - 11*x + 76 = 0, -5*x + 132 = 4*v. Is v a multiple of 2? True Let h = 27 + -22. Let x(c) = -c**3 + 5*c**2 + 6*c + 3. Is 11 a factor of x(h)? True Let g = -3 - -8. Suppose 4*v = m - 20, 0 = -5*m - g*v + 33 + 17. Is m/(-2)*18/(-4) a multiple of 6? False Suppose 9*w - 20 = -4*z + 4*w, -2*w + 8 = 0. Let o(l) = -l**3 + 27. Does 3 divide o(z)? True Let o(u) = 3*u**2. Let i be o(1). Suppose k + x + x = 19, 4*x - 53 = -i*k. Let c = 28 - k. Is c a multiple of 9? False Let o(c) = -c**2 + 5*c. Let m be o(5). Suppose -b + 12 = 2*t - 66, m = -4*b + 16. Does 7 divide t? False Suppose 5*l - 333 = -3*i, 2*l - 127 = 6*i - i. Suppose -2*c - 3*w + l = 0, 4*w = 2*c + 3*w - 50. Is c a multiple of 9? True Let g = -30 - -3. Suppose 3*p + 60 = -3*b, 3*b + 17 = 4*p - 8. Let j = b - g. Does 12 divide j? True Is 73 a factor of 18*(2262/(-36))/(-13)? False Suppose -5*d + 1725 = -1020. Is 3 a factor of d? True Let z(o) = o**3 - 4*o**2 + o + 2. Let p be z(3). Let n(b) = b**3 + 3*b**2 - 4*b - 2. Let c be n(p). Is 13 a factor of -28*(c + 2/(-8))? False Suppose i - 7*i = 0. Let l(q) be the first derivative of -q**2/2 + 40*q - 1. Is 11 a factor of l(i)? False
What is the square root of 1399 to the nearest integer? 37 What is the cube root of 3857 to the nearest integer? 16 What is 7341 to the power of 1/2, to the nearest integer? 86 What is 109679 to the power of 1/10, to the nearest integer? 3 What is 766 to the power of 1/8, to the nearest integer? 2 What is the cube root of 6126 to the nearest integer? 18 What is 11781 to the power of 1/5, to the nearest integer? 7 What is the eighth root of 2774 to the nearest integer? 3 What is the third root of 708 to the nearest integer? 9 What is the fourth root of 84 to the nearest integer? 3 What is the cube root of 1221 to the nearest integer? 11 What is 11226 to the power of 1/4, to the nearest integer? 10 What is 70406 to the power of 1/3, to the nearest integer? 41 What is the cube root of 1685 to the nearest integer? 12 What is the square root of 6895 to the nearest integer? 83 What is the third root of 1973 to the nearest integer? 13 What is the square root of 2201 to the nearest integer? 47 What is the fourth root of 10770 to the nearest integer? 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7 What is the cube root of 35093 to the nearest integer? 33 What is 1814 to the power of 1/3, to the nearest integer? 12 What is 1005 to the power of 1/5, to the nearest integer? 4 What is 26187 to the power of 1/4, to the nearest integer? 13 What is 52264 to the power of 1/6, to the nearest integer? 6 What is the square root of 26267 to the nearest integer? 162 What is 1247 to the power of 1/2, to the nearest integer? 35 What is 345 to the power of 1/3, to the nearest integer? 7 What is 17974 to the power of 1/2, to the nearest integer? 134 What is the square root of 5650 to the nearest integer? 75 What is 8981 to the power of 1/9, to the nearest integer? 3 What is 167 to the power of 1/2, to the nearest integer? 13 What is the fifth root of 1529 to the nearest integer? 4 What is the third root of 3392 to the nearest integer? 15 What is the sixth root of 10720 to the nearest integer? 5 What is the third root of 2558 to the nearest integer? 14 What is the sixth root of 18336 to the nearest integer? 5 What is the seventh root of 912 to the nearest integer? 3 What is 18243 to the power of 1/2, to the nearest integer? 135 What is the tenth root of 17395 to the nearest integer? 3 What is the square root of 77618 to the nearest integer? 279 What is the sixth root of 7789 to the nearest integer? 4 What is the ninth root of 694 to the nearest integer? 2 What is 3070 to the power of 1/10, to the nearest integer? 2 What is 86797 to the power of 1/2, to the nearest integer? 295 What is the square root of 4057 to the nearest integer? 64 What is the third root of 390 to the nearest integer? 7 What is 622 to the power of 1/9, to the nearest integer? 2 What is 1929 to the power of 1/2, to the nearest integer? 44 What is 1483 to the power of 1/2, to the nearest integer? 39 What is 124500 to the power of 1/2, to the nearest integer? 353 What is the fifth root of 4531 to the nearest integer? 5 What is 7863 to the power of 1/9, to the nearest integer? 3 What is the square root of 1116 to the nearest integer? 33 What is 142584 to the power of 1/2, to the nearest integer? 378 What is 1404 to the power of 1/7, to the nearest integer? 3 What is 778 to the power of 1/6, to the nearest integer? 3 What is the square root of 4018 to the nearest integer? 63 What is the square root of 2517 to the nearest integer? 50 What is 9571 to the power of 1/2, to the nearest integer? 98 What is the square root of 26309 to the nearest integer? 162 What is the fourth root of 13170 to the nearest integer? 11 What is 76405 to the power of 1/5, to the nearest integer? 9 What is the square root of 1334 to the nearest integer? 37 What is the square root of 18545 to the nearest integer? 136 What is 8001 to the power of 1/2, to the nearest integer? 89 What is 931 to the power of 1/3, to the nearest integer? 10 What is 19513 to the power of 1/6, to the nearest integer? 5 What is the ninth root of 15768 to the nearest integer? 3 What is the tenth root of 4620 to the nearest integer? 2 What is 1036 to the power of 1/10, to the nearest integer? 2 What is 5792 to the power of 1/2, to the nearest integer? 76 What is 19477 to the power of 1/6, to the nearest integer? 5 What is 874 to the power of 1/6, to the nearest integer? 3 What is the seventh root of 538 to the nearest integer? 2 What is 39838 to the power of 1/3, to the nearest integer? 34 What is the cube root of 88652 to the nearest integer? 45
Let q = 0 - -9. Let v = q - 9. Is -5 + 360 - (0 + v) prime? False Let c(x) = 3*x - 6*x - 21 + 13*x + 5*x. Is c(6) a prime number? False Let l = -26 - -26. Suppose l = -5*n + 627 + 868. Is n composite? True Let o = -19 + 26. Suppose 0 = o*h - 8*h + 845. Let g = h - 474. Is g a prime number? False Is (-631119)/(-36) + (-3)/36 a composite number? True Let p(i) = i + 5. Let f be p(-2). Suppose f*d - 20 = -2*d, -3*g = 4*d - 2737. Is g composite? False Suppose 4 = -2*m + 5*c, -2*m - c = -2 - 6. Is m + 0 + (116 - 4) a prime number? False Let x = -682 + 154. Suppose -4*s - 5*o = 1403, -5*s = -2*o + 695 + 1034. Let m = s - x. Is m a prime number? True Is 32490/22 - (18/(-99))/1 a composite number? True Let h = -8 + 8. Suppose -5*b + 11 + 19 = h. Is 615*(1 - 4/b) composite? True Let n(i) = 45*i**2 - 4*i + 4. Let h be n(-3). Let x be 305*-4*1/(-5). Let b = h - x. Is b a composite number? True Suppose 3*c + 5*t - 1510 = 3*t, 1516 = 3*c + 5*t. Is c prime? False Suppose 75*h - 5*h = 1524530. Is h prime? False Let c(n) = 3*n**3 + 8*n**2 + 11*n - 116. Is c(7) a composite number? True Let u(h) = -23*h - 39. Let l(p) = 23*p + 39. Let m(q) = 2*l(q) + 3*u(q). Is m(-22) a prime number? True Let u = 12249 - 6280. Is u a composite number? True Let d(l) be the second derivative of 3*l**4/4 - l**2/2 + 7*l. Is d(4) prime? False Let q(j) = 702*j - 5. Is q(2) a prime number? True Let z be (20/(-5) + 1850)/2. Suppose 3*x - 2*x - z = 0. Is x a composite number? True Suppose -4*y + 3*p + 71784 = 0, 6*y - 71752 = 2*y - 5*p. Is y a prime number? False Suppose -221571 = -0*a - 21*a. Is a prime? False Let n = -897 - -2219. Is n a prime number? False Let n(z) = 2*z - 18. Let d be n(9). Suppose d = 6*j + j - 7399. Is j prime? False Is (-12 - -13)*(3 - -11348) composite? False Suppose -39213 = -16*q - 14525. Is q a composite number? False Let o(y) be the third derivative of 11*y**5/15 + 5*y**4/24 - 5*y**3/6 + 11*y**2. Is o(4) prime? True Let m(h) = 16*h - 3. Suppose -w + 8 = 6*f - 4*f, 2*w - 4*f + 16 = 0. Suppose j + 2*j - 15 = w. Is m(j) composite? True Let c(a) = -a**2 + 13*a - 24. Let n be c(12). Is 368/12*n/(-8) a prime number? False Let n(q) = 91*q + 8. Let i(d) = -183*d - 17. Let h(w) = -4*i(w) - 7*n(w). Is h(5) a prime number? True Let c = 541 - 531. Let m = -170 - -250. Is (-48)/m + 13996/c composite? False Suppose 0 = -5*o - j + 71259, 5*o - 71275 = 4*j - 9*j. Is o a prime number? True Let d(j) be the second derivative of -1/20*j**5 + 1/6*j**3 + 0 + j - 1/12*j**4 + 419/2*j**2. Is d(0) a prime number? True Suppose -2*d - 591 = -5*d. Suppose -3*x + 2*x = d. Let m = x - -391. Is m a prime number? False Let g = -127 + 252. Suppose m - 138 = g. Is m composite? False Let w(f) = 2*f - 5. Let y be w(5). Let b be 2846/14 - (-8)/(-28). Suppose 4*s - b - 78 = -p, y*s + 1187 = 4*p. Is p composite? False Suppose -3*k - 6 = 3, -l = 4*k. Suppose 5*y = 4*i - 184, 6*y = 3*y + l. Is i composite? True Is (-1)/(14002/(-9332) + (-93)/(-62)) a prime number? True Let c be (0 - 5/(-2))*2. Suppose c = f, -3*w - 4*f = -0*f - 251. Is w a prime number? False Let x(j) be the third derivative of -97*j**7/5040 - j**6/120 - j**5/20 - 7*j**2. Let p(r) be the third derivative of x(r). Is p(-5) prime? True Suppose 14*y = 39*y - 962675. Is y a prime number? False Suppose 32*v = 36*v - 31612. Is v a composite number? True Suppose q = -203 + 402. Is q composite? False Let v = 22680 - 11839. Is v composite? True Let y = 23 + -17. Suppose -4*l = -y - 46. Is l a prime number? True Let v = -211 - 1515. Let c = v + 3527. Is c prime? True Suppose 70*w - 64*w - 588 = 0. Let r = -76 + w. Is r composite? True Let i(l) = -296*l - 2. Let b be i(-1). Suppose -3*j + j + b = -5*q, j + 56 = -q. Let k = q + 81. Is k a prime number? True Let l = -6766 - -10075. Is l a prime number? False Let q(s) = -28*s**2 - 5 + 4 + 2*s**2 + 4 + 2*s. Let w be q(4). Is -4 + 6 + w/(-1) a composite number? True Suppose 5*u = 15262 + 168. Is u prime? False Let k(y) = -y**2 - 13*y - 11. Let r be k(-11). Suppose -2*z = -z - r. Is z a composite number? False Let r(m) be the first derivative of m**4/4 - 5*m**3 - 11*m**2 - 7*m - 34. Is r(19) prime? True Let d be -6 + (-1 + 4)/(-1). Let q = 24 - d. Is -28*2*q/(-24) prime? False Let d(w) = -4*w - 20. Let u be d(-6). Suppose -x + 2*c - 789 = -2*x, 4*x - 5*c = 3104. Suppose s - x = -u*s - 4*m, 154 = s + 3*m. Is s a prime number? True Suppose -10148 - 11605 = -9*m. Is m a composite number? False Let b(f) = f - 8938. Let i be b(0). Is (6/(-4))/(i/4468 - -2) composite? True Suppose 272 = 3*z - 5*n + 1322, 3*z + n = -1032. Let y = -154 - z. Is y composite? False Let m(c) = -18*c**3 - 4*c**2 - 8*c**3 - c - 2*c**3 - 5*c**3 - 5. Is m(-3) a composite number? False Let m be 3 - 3 - (-3 + 1). Let x(u) = -2*u**3 - m*u - 2*u + 0 + 3*u**2 + 3 - 7*u**2. Is x(-4) a prime number? True Is -3 - (-173295)/20 - 6/8 a prime number? False Let i = 3281 + -1504. Is i a composite number? False Let h = -521 + 1144. Is h composite? True Let i(z) = -1116*z + 2. Let c be i(-1). Suppose 4*p - 9*p + 3235 = -2*w, -5*p + 3*w = -3230. Let y = c - p. Is y a prime number? False Suppose u = 6*u - 5*d - 5, 0 = u - 3*d + 1. Let j be -2 - -2 - (-8)/u. Suppose -j*h + 233 = -43. Is h a prime number? False Suppose 0 = -10*q + 7*q + 81. Suppose q = 3*k - 72. Is k composite? True Let p = 11 - 6. Suppose -3*l = 4*m - 4193 + 389, -4*l = -p*m + 4755. Is m a composite number? True Suppose b - 3*n = -7, -2*n + 6 = -0*n. Suppose 4371 = b*i + i. Is i a prime number? False Suppose 4*s = 3 + 17. Suppose -3*h - 4*u = -753, -2*h - s*u + 1255 = 3*h. Is h composite? False Let p(z) = -z**3 + 4*z**2 - 3*z + 3. Let o be p(3). Suppose -7*i = -o*i - 12. Is (-5)/(1/(1 - i)) a prime number? False Let c(f) = 561*f**2 + 136*f - 15. Is c(8) a prime number? False Suppose 2*o + 2*o - 7801 = g, -4*g + 9725 = 5*o. Is o composite? False Suppose 27*w = 34*w - 358057. Is w prime? True Let y = -2574 + 3713. Is y a prime number? False Let j(w) = 779*w - 3. Let b be j(8). Suppose 13*z - 21192 = -b. Is z a composite number? False Let f(d) = 1247*d + 1. Is f(10) prime? False Suppose 0 = -3*v + 4*q - 299, -5*q - 47 - 78 = v. Suppose 4*b - 2*b = 1028. Let g = v + b. Is g a prime number? True Is (-2316606)/(-184)*4/3 a composite number? False Let q = 24 - 24. Suppose -4*m + m + 4*f + 16 = q, 3*f + 12 = 3*m. Suppose -4*j + 470 + 854 = m. Is j a composite number? False Suppose -4 = -5*k + 4*k. Suppose 69 = -3*m + k*m. Suppose 4*a = -4*z + 336, 2*a - 3*a + 2*z = -m. Is a composite? False Let b(g) be the third derivative of g**6/120 - g**5/30 - g**4/24 + g**3/3 + 3*g**2. Let m be b(2). Suppose 4*k + 5*r - 1472 = -m*r, -16 = 4*r. Is k composite? False Suppose 2*h - 761 = p, 9*p = 4*p + 5. Is h a composite number? True Let y(q) = -5*q - 10. Let k be y(-2). Suppose k = 4*o + 4*r - 8*r - 2948, 0 = -4*o - 5*r + 2948. Is o composite? True Let i(h) be the second derivative of -h**5/20 - h**4 - h**3/6 + 5*h**2/2 + 44*h + 1. Let o = -30 + 17. Is i(o) composite? True Suppose -21*d + 5616 = -5*d. Let p = d - -704. Is p a composite number? True Is 5580 + 5/35*7 a composite number? False Let t(s) = 150*s + 8. Let r(g) = -300*g - 17. Let y(b) = 3*r(b) + 5*t(b). Is y(-5) a prime number? True Is (-84646)/(-10) - 34/(-85) a prime number? False Let j(b) = b + 1. Let y be j(5). Suppose y*a = 10*a. Suppose 3*v = -a*v + 474. Is v composite? True Suppose 22729 + 13366 = 5*b. Is b prime? True Let t(r) = r**2 + 6*r + 669. Is t(0) a prime number? False Let a(s) = -4*s**3 + 2*s**2 + s + 3. Let t(i) = 5*i**3 - 2*i**2 - i - 3. Let h(u) = 4*a(u) + 3*t(u). Let n be h(2). Suppose -n*m = -90 - 835. Is m composite? True Let i be (4/5)/((-6)/(-2295)). Let l = 888 - i. Is (-12)/18*l/(-4) composite? False Suppose 10*q - 27835 = 5*q. Is q composite? True Suppose u + 5*r - 16300 = -2*u, 0 = -3*u - r + 16304. Is u a composite number? True Let r(a) = a**3 - a**2 - a - 2. Let u be r(0). Let o be 6 + (12/(-3) - u). Suppose 7*i = 4*i + 2*p + 559, 0 = o*i + 4*p - 732. Is i a prime number? False Suppose 12 = 3*t - 3*a, -3*t = -5*a - 5 - 5. Let f(i) = 539*i + 17. Let z be f(t). Is z/(-16)*(-2)/3 composite? False Let s be (-6)/(1*(-9)/12). Is (-1)/(-2)*(30 - s) prime? True Suppose m = -k + 53, -5*k + 6*k = 3*m - 151. Is m a composite number? True Let t(i) be the first derivative of 3*i**4/4 - i**3 + 2*i**2 - i + 17. Let q = -2 - -5. Is t(q) prime? False Let b = -68 + 69. Let k(q) = 330*q**3 + 2*q**2 + q - 2. Is k(b) prime? True
List the prime factors of 1677185601. 3, 7, 13, 6143537 What are the prime factors of 19565740? 2, 5, 978287 What are the prime factors of 5795988751? 7, 211, 3924163 List the prime factors of 415851356. 2, 41, 53, 47843 What are the prime factors of 122059067? 13, 722243 What are the prime factors of 2638360479? 3, 879453493 What are the prime factors of 2260348218? 2, 3, 29, 4330169 What are the prime factors of 73801418? 2, 563, 65543 What are the prime factors of 687578877? 3, 76397653 List the prime factors of 1715310913. 487, 3522199 What are the prime factors of 10574902? 2, 13, 101, 4027 List the prime factors of 328518106. 2, 7, 457, 51347 What are the prime factors of 78308329? 11, 19, 374681 What are the prime factors of 892026822? 2, 3, 17, 514433 List the prime factors of 1214148653. 17, 103, 693403 List the prime factors of 4389681. 3, 503, 2909 List the prime factors of 978354264. 2, 3, 137, 149, 1997 What are the prime factors of 65578940? 2, 5, 7, 468421 What are the prime factors of 61101473? 19, 113, 149, 191 List the prime factors of 118054523. 313, 377171 List the prime factors of 2262300584. 2, 282787573 What are the prime factors of 72810769? 811, 89779 What are the prime factors of 6688995? 3, 5, 29, 15377 List the prime factors of 2377574971. 37, 149, 431267 What are the prime factors of 5185029519? 3, 47, 12257753 List the prime factors of 1666419318. 2, 3, 887, 11597 What are the prime factors of 112654455? 3, 5, 37, 202981 List the prime factors of 391660634. 2, 31, 127, 49741 What are the prime factors of 3464972604? 2, 3, 96249239 List the prime factors of 20307338. 2, 97, 104677 List the prime factors of 764712875. 5, 67, 91309 What are the prime factors of 29430458? 2, 347, 42407 What are the prime factors of 73953119? 23, 509, 6317 What are the prime factors of 2874985? 5, 19, 53, 571 List the prime factors of 565124840. 2, 5, 7, 373, 773 What are the prime factors of 83945528? 2, 10493191 List the prime factors of 185202529. 179, 1034651 List the prime factors of 76227003. 3, 43, 61, 3229 List the prime factors of 167598009. 3, 18622001 List the prime factors of 30048692. 2, 7512173 What are the prime factors of 61826364? 2, 3, 1717399 List the prime factors of 3684751. 7, 139, 541 What are the prime factors of 4141531161? 3, 3023, 50741 List the prime factors of 2495851228. 2, 13, 47997139 What are the prime factors of 2430673618? 2, 113, 257, 41849 What are the prime factors of 23397703? 7, 3342529 List the prime factors of 877119658. 2, 17, 71, 127, 2861 What are the prime factors of 314713725? 3, 5, 4196183 List the prime factors of 59294691. 3, 17, 373, 1039 List the prime factors of 47463665. 5, 9492733 List the prime factors of 118135386. 2, 3, 29, 226313 List the prime factors of 252160500. 2, 3, 5, 23, 7309 What are the prime factors of 7233141697? 50971, 141907 List the prime factors of 895907. 19, 61, 773 List the prime factors of 164513648. 2, 13, 41, 101, 191 List the prime factors of 121140964. 2, 7, 277, 15619 What are the prime factors of 57818381? 83, 696607 List the prime factors of 522019759. 97, 103, 52249 What are the prime factors of 61830861? 3, 43, 479309 What are the prime factors of 22396950? 2, 3, 5, 71, 701 List the prime factors of 1606074859. 457, 3514387 List the prime factors of 61943121. 3, 17, 61, 6637 What are the prime factors of 38509816? 2, 823, 5849 What are the prime factors of 110330725? 5, 4413229 What are the prime factors of 1027445188? 2, 7, 11, 103, 139, 233 What are the prime factors of 464476727? 11, 13, 249853 What are the prime factors of 173228972? 2, 7, 6186749 What are the prime factors of 68923067? 68923067 List the prime factors of 325848960. 2, 3, 5, 109, 173 List the prime factors of 74520267. 3, 131, 189619 List the prime factors of 49553926. 2, 251, 98713 List the prime factors of 4685073723. 3, 11, 173, 91183 List the prime factors of 18693340. 2, 5, 19, 49193 What are the prime factors of 11783952? 2, 3, 19, 59, 73 List the prime factors of 818308537. 83, 9859139 What are the prime factors of 104028767? 41, 2537287 List the prime factors of 81680180. 2, 5, 541, 7549 List the prime factors of 6550148808. 2, 3, 7, 107, 40487 What are the prime factors of 589406726? 2, 97, 3038179 List the prime factors of 2645985. 3, 5, 419, 421 What are the prime factors of 77681606? 2, 38840803 List the prime factors of 116533384. 2, 11, 19, 69697 List the prime factors of 898540067. 337, 2666291 List the prime factors of 418012314. 2, 3, 69668719 What are the prime factors of 115073636? 2, 2473, 11633 What are the prime factors of 47694046? 2, 23847023 What are the prime factors of 41914283? 89, 470947 List the prime factors of 241785661. 13, 1009, 18433 List the prime factors of 1625946604. 2, 113, 3597227 What are the prime factors of 1551085552? 2, 61, 227, 7001 List the prime factors of 10803743. 10803743 What are the prime factors of 312331833? 3, 11, 43, 73369 List the prime factors of 94478905. 5, 2441, 7741 What are the prime factors of 68075929? 23, 2959823 What are the prime factors of 949487803? 11, 4241, 20353 List the prime factors of 742422787. 742422787 List the prime factors of 10407031. 10407031 What are the prime factors of 432451411? 7, 8825539 List the prime factors of 481195115. 5, 17, 29, 11483 What are the prime factors of 1365820195? 5, 61, 83, 163, 331 List the prime factors of 51503050. 2, 5, 1030061 What are the prime factors of 39165434? 2, 7, 11, 263, 967 List the prime factors of 182567873. 182567873 List the prime factors of 1544264199. 3, 171584911 What are the prime factors of 6133230038? 2, 13, 37, 401, 1223 What are the prime factors of 3500849588? 2, 9439, 92723 List the prime factors of 14111997. 3, 1193, 3943 List the prime factors of 3306965515. 5, 7, 94484729 What are the prime factors of 6616764339? 3, 36191, 60943 List the prime factors of 238340208. 2, 3, 4965421 What are the prime factors of 2041726009? 101, 20215109 What are the prime factors of 150420353? 421, 357293 What are the prime factors of 1506301188? 2, 3, 7, 23, 779659 List the prime factors of 9119495. 5, 7, 11, 23687 What are the prime factors of 2160419226? 2, 3, 7, 193, 266521 List the prime factors of 12877159. 12877159 What are the prime factors of 92264623? 11, 1871, 4483 What are the prime factors of 56645201? 56645201 What are the prime factors of 132250629? 3, 7, 6297649 What are the prime factors of 87597221? 1061, 82561 List the prime factors of 2584086443. 2584086443 What are the prime factors of 44896992? 2, 3, 7, 71, 941 List the prime factors of 29877830. 2, 5, 29, 269, 383 List the prime factors of 723702623. 7, 263, 393103 List the prime factors of 31273327. 31, 1008817 List the prime factors of 226878629. 29, 541, 14461 List the prime factors of 33334085. 5, 53, 125789 List the prime factors of 17806843. 47, 378869 List the prime factors of 1748550016. 2, 13660547 What are the prime factors of 2363291335? 5, 67, 7054601 What are the prime factors of 211485603? 3, 7, 29, 239, 1453 List the prime factors of 3861566151. 3, 1287188717 List the prime factors of 48501051. 3, 17, 951001 What are the prime factors of 5612400305? 5, 29, 38706209 What are the prime factors of 137601885? 3, 5, 9173459 List the prime factors of 4412978261. 73, 60451757 List the prime factors of 337988. 2, 7, 12071 List the prime factors of 289617218. 2, 11, 13164419 What are the prime factors of 202153657? 41, 683, 7219 List the prime factors of 80950341. 3, 1831, 14737 List the prime factors of 230153208. 2, 3, 17, 157, 3593 List the prime factors of 247772449. 883, 280603 What are the prime factors of 917063018? 2, 31, 229, 64591 List the prime factors of 146109013. 146109013 List the prime factors of 434558028. 2, 3, 193, 187633 List the prime factors of 1048276735. 5, 11, 137, 139121 What are the prime factors of 5850503417? 11, 43, 163, 75883 What are the prime factors of 38452418? 2, 167, 115127 What are the prime factors of 44835784? 2, 7, 114377 What are the prime factors of 2898166549? 41, 199, 355211 What are the prime factors of 65723626? 2, 5659, 5807 What are the prime factors of 80413551? 3, 109, 81971 What are the prime factors of 461035852? 2, 17, 29, 43, 5437 What are the prime factors of 1552465913? 7867, 197339 List the prime factors of 234602272. 2, 19, 385859 List the prime factors of 1215802428. 2, 3, 101316869 List the prime factors of 422127547. 379, 1113793 What are the prime factors of 712052771? 271, 683, 3847 What are the prime factors of 184943748? 2, 3, 11, 17, 73, 1129
Simplify (((sqrt(77)/(sqrt(77)/sqrt(7)))**2 - (4 + sqrt(343))) + 1)*2. -14*sqrt(7) + 8 Simplify (-5*(2*sqrt(216))/sqrt(12)*-3)**2*-6 + 0. -97200 Simplify -2*(0 + (1*sqrt(56)/(sqrt(1176)/sqrt(3)))**2). -2/7 Simplify (-6*(-5 + 3*sqrt(300)) + 2 + -1)**2. -11160*sqrt(3) + 98161 Simplify ((sqrt(208)*2 - sqrt(208))*-2 + sqrt(208) + 5 - (-2*sqrt(208)*-3 - 1*sqrt(208)*-6))**2. -520*sqrt(13) + 35177 Simplify 4 + 2*(5*(2 + sqrt(1872) + 1))**2. 3600*sqrt(13) + 94054 Simplify (-4 + -5 + (sqrt(343) - (sqrt(343) + (sqrt(343) - (-3 + sqrt(343)))*4 + sqrt(343))))**2*2. 588*sqrt(7) + 1568 Simplify ((6*(-4 + sqrt(252)) + sqrt(252) - (-4 + (sqrt(28)/(sqrt(4) - sqrt(64)) - sqrt(7))))*-1)**2. -5200*sqrt(7)/3 + 121900/9 Simplify (2*sqrt(550)*3)/(5*sqrt(4)/sqrt(2) + sqrt(2) + (sqrt(98)*1 - sqrt(98))). 5*sqrt(11) Simplify -6*(sqrt(51) + sqrt(5100))/sqrt(3) + sqrt(51)/(sqrt(48)*-5). -1321*sqrt(17)/20 Simplify (4 + (-3*(sqrt(1900) + 1 - sqrt(1900)) - (sqrt(1900) + 1 + 1)) + 2*sqrt(1900)*-1*3)**2. 140*sqrt(19) + 93101 Simplify -2 + (sqrt(2448) + -3)**2 + sqrt(17) + sqrt(136)/sqrt(8) + 2. -70*sqrt(17) + 2457 Simplify ((sqrt(228) - -3*sqrt(228)*-2 - (-1*sqrt(228)*-6 - sqrt(228)))/(sqrt(192)/sqrt(4)*-1))**2. 475 Simplify (0 + sqrt(208))**2 + -5 + 5 - (2 + sqrt(468) - (2 + sqrt(13) + sqrt(13) + 1)). -4*sqrt(13) + 209 Simplify sqrt(363)*1 + 3 - (-5 + sqrt(18)/(sqrt(30)/sqrt(5))). 8 + 10*sqrt(3) Simplify sqrt(11) + sqrt(22)/sqrt(2) + 4 + (sqrt(539)*3 - sqrt(11)) + -4 + ((sqrt(33) + sqrt(33)*-2)/sqrt(3))**2*5. 55 + 22*sqrt(11) Simplify ((sqrt(3072) + (sqrt(3072)*2 - sqrt(3072)) - sqrt(3072))/sqrt(4))/(sqrt(6) - (-1*sqrt(150) - sqrt(6)) - sqrt(24)/(sqrt(4)*-2)). 16*sqrt(2)/15 Simplify ((((sqrt(152) + sqrt(152)*-2 + sqrt(152) - sqrt(152))*-4 + sqrt(152))*1)/(sqrt(88)/(sqrt(11) - (sqrt(1331) - 2*sqrt(1331) - sqrt(1331)))) + -4)**2. -920*sqrt(19) + 251291 Simplify (sqrt(2673) + sqrt(2673) + (sqrt(2673) - sqrt(2673)*1) + sqrt(2673) + sqrt(2673))/((sqrt(44)/sqrt(2))/sqrt(2)). 36*sqrt(3) Simplify (4 + 5*(-3*(sqrt(2420) - (sqrt(2420)*1 - sqrt(2420))) - sqrt(2420)))**2. -3520*sqrt(5) + 968016 Simplify (sqrt(342)*-6 - (sqrt(1862)*-1 - sqrt(1862)))/(sqrt(24)/(-2*sqrt(768))). 64*sqrt(19) Simplify (3 + sqrt(245)*2 - (sqrt(245) + 1)*6)**2 + (sqrt(3600) + (sqrt(3600)*2 - sqrt(3600)))/(sqrt(320)*-1). 165*sqrt(5) + 3929 Simplify (-3*(sqrt(99)*2)/sqrt(9))**2 - (sqrt(99)*1 + sqrt(99))/sqrt(9)*4. -8*sqrt(11) + 396 Simplify ((sqrt(22) + -6*sqrt(66)/sqrt(3))/(sqrt(33)/sqrt(3)*-5 + sqrt(11)) + 2 + 6*(-1 + sqrt(2)) + 1)**2. -87*sqrt(2)/2 + 913/8 Simplify -6*(sqrt(396) - (sqrt(396) + 5 + (sqrt(396) + -2 + sqrt(396) - sqrt(396)))**2)*-5. -47790 - 1980*sqrt(11) Simplify sqrt(304) + 2 + (sqrt(95)/sqrt(5)*-3)**2 - (sqrt(228) + -6*sqrt(228)*2 + sqrt(228))/(sqrt(108)*-1). 2*sqrt(19)/3 + 173 Simplify -1 + (((sqrt(5) - -3*sqrt(10)/sqrt(2)) + (2*sqrt(245) - sqrt(245)))**2 - (-1*sqrt(245) + -5)**2). -70*sqrt(5) + 334 Simplify -6*(-1*-2*(sqrt(343) + -1) + -3) + 0. -84*sqrt(7) + 30 Simplify 2*(sqrt(8)/(sqrt(4) - (sqrt(4) + (-1*sqrt(8))/sqrt(2))) + ((sqrt(162) + -5)*-5)**2). -4498*sqrt(2) + 9350 Simplify (5*sqrt(18)*1 - sqrt(18))**2 - (sqrt(2)*-1*-6 + 0). -6*sqrt(2) + 288 Simplify (sqrt(144) - 4*2*sqrt(144))/(6*sqrt(128)) + -2. -2 - 7*sqrt(2)/8 Simplify (((sqrt(175)*1)/sqrt(7) + sqrt(900) + (sqrt(900) - sqrt(900)*1))/(4*(sqrt(405) + sqrt(405) + sqrt(405)*-1)))**2. 245/1296 Simplify (sqrt(136) - (sqrt(136) + 2*sqrt(136))*-3)/((-1*sqrt(64))/sqrt(8))*-5. 50*sqrt(17) Simplify -5 + (4*(1 + sqrt(605))*-1 - (-4 + sqrt(605)*-2 - (-4 + sqrt(605) + 1 + sqrt(605))))**2. 4 Simplify 4*(sqrt(19) + (sqrt(304)*1)**2) - (sqrt(38)*-2*5)/sqrt(2). 14*sqrt(19) + 1216 Simplify ((sqrt(2448)*2*-2 - (3 + sqrt(34)/sqrt(2) + -1)) + -5)**2. 686*sqrt(17) + 40866 Simplify (-1*sqrt(18)*-3)/(sqrt(6) - sqrt(24)*-2) + 2. 3*sqrt(3)/5 + 2 Simplify ((-3 + sqrt(832) + -3 + 2)*1)**2*-1. -848 + 64*sqrt(13) Simplify sqrt(98) + (sqrt(98) - (sqrt(98) + 1)) - (sqrt(50) + 1) - (((2 + sqrt(72))**2 - sqrt(72))*-4 - sqrt(72)). 80*sqrt(2) + 302 Simplify ((sqrt(187) + (sqrt(187) + (3*(sqrt(187) + (sqrt(187)*2 - sqrt(187))) - sqrt(187)) - sqrt(187)) + sqrt(187))*3)/(6*(sqrt(704) + sqrt(704)*-2)). -7*sqrt(17)/16 Simplify ((-5 + 1*sqrt(320) - (sqrt(320)*1 + 3)) + 1)**2. 49 Simplify -6*(1 + sqrt(1539))**2*-3*5*-2. -277200 - 3240*sqrt(19) Simplify (-6*1*(sqrt(1872) - (sqrt(1872) - -3*-1*sqrt(1872)))*4)**2. 9704448 Simplify ((sqrt(95)*-1*4 - 5*(sqrt(95) + -1*sqrt(95)))/(6*2*sqrt(605) - sqrt(605)))**2. 304/14641 Simplify -5*(sqrt(272) + sqrt(272) + 5 + 1 + sqrt(272) + -4) + 5. -60*sqrt(17) - 5 Simplify (-4*(sqrt(204) - (sqrt(204)*-1*5 + sqrt(204))))/(sqrt(84)/(-1*sqrt(7))*3). 20*sqrt(17)/3 Simplify ((sqrt(176) + 2)**2*-3 + (sqrt(11) - (sqrt(1584) - sqrt(1584)*-2 - sqrt(11)))*6)*5. -1260*sqrt(11) - 2700 Simplify (sqrt(500) + -1 - sqrt(60)/(sqrt(48)/sqrt(4)))*-5 + -2 + 3. -45*sqrt(5) + 6 Simplify -4*(4 + (5*(-2 + sqrt(153)) - sqrt(153)) + 5 + 2)**2. -9796 - 96*sqrt(17) Simplify 6*(sqrt(176) + -2 + 4 + 1*sqrt(11) + 5*(sqrt(11) - (sqrt(33)/sqrt(3) + 5)))**2. -1380*sqrt(11) + 4824 Simplify (-4*(sqrt(70) - -6*-2*sqrt(70)))/(sqrt(10) + 1*sqrt(640) + sqrt(120)/(2*sqrt(12)) + sqrt(10)). 88*sqrt(7)/21 Simplify 2*(1 + sqrt(539) + -1) + ((1*1*sqrt(539))**2 - 6*(-2 + sqrt(539))). -28*sqrt(11) + 551 Simplify 2*(5 + sqrt(76)/(sqrt(4) + sqrt(16)/sqrt(4)) + 5). sqrt(19) + 20 Simplify (sqrt(6292) + -3*sqrt(6292)*-6 + sqrt(6292) + sqrt(6292))/(1*sqrt(4)*6*4). 77*sqrt(13)/8 Simplify -2 + (6*(-3 + 0 + sqrt(1100)) + sqrt(1100)*-2*6*6)**2. 23760*sqrt(11) + 4791922 Simplify (-4*-2*sqrt(110) - (sqrt(110) + (sqrt(110) + 1*sqrt(110))*-4))/(sqrt(50)/(sqrt(500)*4 - sqrt(500))). 450*sqrt(11) Simplify ((-2*sqrt(1300))**2*3 - ((1 + sqrt(117) + sqrt(117))**2 + sqrt(104)/(-1*sqrt(8)) + sqrt(13))) + 0. -12*sqrt(13) + 15131 Simplify (sqrt(204) - sqrt(204)*3*6 - sqrt(204))/(sqrt(132)/sqrt(1100)). -180*sqrt(17) Simplify 3*(((sqrt(114) - sqrt(114)*1) + sqrt(114))*5)/(1*sqrt(384)). 15*sqrt(19)/8 Simplify (sqrt(108) + sqrt(108) + (sqrt(108) + sqrt(108)*3 + sqrt(108))*-1)/(-3*(sqrt(324)/sqrt(6))/sqrt(9)). 3*sqrt(2) Simplify 3*(3 + (-4*(3 + sqrt(425)))**2). 1440*sqrt(17) + 20841 Simplify (-5 + (sqrt(832) - ((sqrt(832) - (sqrt(832) + 0)*1) + sqrt(832)))*-4 + 3)**2 + 1. 5 Simplify 5*(sqrt(17) - (sqrt(119) + (-3*sqrt(119) + sqrt(119) - sqrt(119)))/sqrt(7)) + -4 + 3*sqrt(2057). -4 + 48*sqrt(17) Simplify (sqrt(288)*-1 + 0)**2 + 4 - (-3 + -3*sqrt(288)*-4). -144*sqrt(2) + 295 Simplify 5 + -5*((-2 + sqrt(99) - sqrt(99)) + -5 - (sqrt(99) + -1)**2*-4). -1960 + 120*sqrt(11) Simplify (2*sqrt(324) + sqrt(4))/(sqrt(72) + sqrt(72)*1 - sqrt(72)) - (0 + sqrt(2) + -3 + 0 + sqrt(2) + 3). 7*sqrt(2)/6 Simplify 5*(sqrt(117) + 1)**2*5*1. 150*sqrt(13) + 2950 Simplify ((sqrt(7) + 3)*4 - (sqrt(112) - (sqrt(112) + 1)))**2 + -5 + 5 + -2. 104*sqrt(7) + 279 Simplify ((sqrt(171) + sqrt(171)*3 + sqrt(171))/sqrt(3) - sqrt(57))/(sqrt(30)/sqrt(360))*-5. -120*sqrt(19) Simplify 4*((((sqrt(187) - (1*sqrt(187) - sqrt(187))) + sqrt(187))*-3)/(sqrt(539)*1 - sqrt(11)))**2*5*3. 1020 Simplify ((sqrt(190) + (sqrt(190) - (-2*(sqrt(190) - (sqrt(190) + sqrt(190)*2)) + sqrt(190) + sqrt(190))))*4)/(((sqrt(40) - sqrt(40)*2)*-5)/sqrt(4)). -16*sqrt(19)/5 Simplify (5*(-1*sqrt(1900)*6 + sqrt(1900) + (-3 + sqrt(1900) + -3 + sqrt(1900) - sqrt(1900))))**2. 12000*sqrt(19) + 760900 Simplify ((sqrt(612) + -5*1*sqrt(612))**2 + 2 + -3*(sqrt(612) + 0 + 5))*-5. -48895 + 90*sqrt(17) Simplify -5 + (4 + sqrt(125) - sqrt(125))**2 - (sqrt(45) + (sqrt(270)*-1)/sqrt(6)). 11 Simplify (sqrt(288) + -5*sqrt(288) + -4)**2 - (sqrt(90)*2)/sqrt(5). 378*sqrt(2) + 4624 Simplify (sqrt(22) + (sqrt(132)*-2 - sqrt(132))/sqrt(6) - sqrt(22))/(sqrt(44)/(sqrt(4) + sqrt(4)*-4)). 9*sqrt(2) Simplify -6*((-2*-4*sqrt(832))**2 - (sqrt(832) + (-4 + sqrt(832) + sqrt(832)*2)**2)). -274464 - 1104*sqrt(13) Simplify -3 + 6*((-4*sqrt(17) - sqrt(17))*-1 + -4). -27 + 30*sqrt(17) Simplify 0 + -3*(sqrt(7) - ((-3 + sqrt(112) + sqrt(112))**2 + sqrt(112) + sqrt(112)))*2. -246*sqrt(7) + 2742 Simplify 4 + (-1 + sqrt(63)/sqrt(144))**2 + -4*(2 + sqrt(7))**2 + (sqrt(7) - (-2 + sqrt(7) + -3 + sqrt(7))**2). -1465/16 + 9*sqrt(7)/2 Simplify 4 + -1 + (sqrt(24) - sqrt(48)/sqrt(2))/sqrt(8) - (-4*(3*sqrt(3))**2 + (sqrt(3) + -1)*2). -2*sqrt(3) + 113 Simplify ((sqrt(228) + sqrt(228) + sqrt(228)*-1*-5)*2)/((sqrt(96) - (sqrt(96) + 4*(sqrt(96) + sqrt(96)*1 - sqrt(96))))/sqrt(8)). -7*sqrt(19)/2
Calculate prob of sequence fb when two letters picked without replacement from ffbbbff. 2/7 Calculate prob of sequence uuxx when four letters picked without replacement from {u: 3, x: 1}. 0 What is prob of sequence xsxx when four letters picked without replacement from {s: 5, x: 15}? 455/3876 What is prob of sequence xpkx when four letters picked without replacement from {p: 3, x: 8, k: 2, n: 4}? 1/170 Calculate prob of sequence llbf when four letters picked without replacement from {b: 3, z: 1, l: 2, f: 1}. 1/140 Four letters picked without replacement from onhoonnhnnmmn. Give prob of sequence mhon. 3/715 Three letters picked without replacement from uwhwhhuhuuhhhuh. Give prob of sequence hwh. 8/195 What is prob of sequence hht when three letters picked without replacement from hhhhthhhhhhhhhthhhhh? 17/190 Calculate prob of sequence glq when three letters picked without replacement from ltdglgldqqgg. 1/55 Two letters picked without replacement from {x: 1, v: 3, s: 1, e: 7}. Give prob of sequence ve. 7/44 Calculate prob of sequence qv when two letters picked without replacement from uqxcvug. 1/42 Three letters picked without replacement from zonznizfnnffofofon. What is prob of sequence ozn? 5/408 Three letters picked without replacement from {k: 4, m: 9, a: 3}. Give prob of sequence kaa. 1/140 Three letters picked without replacement from ruurrururr. Give prob of sequence uru. 1/10 Two letters picked without replacement from wwdhhhddeqwwwh. What is prob of sequence dq? 3/182 Calculate prob of sequence nmgq when four letters picked without replacement from ngqmnmwg. 1/210 Calculate prob of sequence pu when two letters picked without replacement from empwu. 1/20 Four letters picked without replacement from {u: 2, j: 8}. Give prob of sequence ujuj. 1/45 Three letters picked without replacement from wup. What is prob of sequence uwp? 1/6 Two letters picked without replacement from clclwll. Give prob of sequence cw. 1/21 Calculate prob of sequence qg when two letters picked without replacement from vqgghqvggvq. 6/55 Three letters picked without replacement from {n: 4, z: 1, g: 1, o: 1, x: 5}. What is prob of sequence zog? 1/1320 Calculate prob of sequence pyh when three letters picked without replacement from hyhhhppipbhbpybhyyib. 4/285 What is prob of sequence poop when four letters picked without replacement from {o: 7, p: 3}? 1/20 Two letters picked without replacement from vtbvx. Give prob of sequence vt. 1/10 Calculate prob of sequence ei when two letters picked without replacement from {i: 2, e: 16}. 16/153 Two letters picked without replacement from rdsquffd. What is prob of sequence rq? 1/56 Three letters picked without replacement from {f: 1, p: 11, a: 2, h: 2}. What is prob of sequence app? 11/168 Calculate prob of sequence nnn when three letters picked without replacement from {n: 4, i: 2, k: 2, p: 5, j: 1}. 1/91 Four letters picked without replacement from iyeeyyejejjiaieejjyy. What is prob of sequence iiae? 1/3230 What is prob of sequence obo when three letters picked without replacement from {q: 2, b: 1, m: 4, o: 9}? 3/140 Calculate prob of sequence xxo when three letters picked without replacement from oooxojxa. 1/42 Four letters picked without replacement from cdcedcdedec. What is prob of sequence dcee? 2/165 What is prob of sequence lp when two letters picked without replacement from {i: 1, m: 4, y: 6, j: 1, p: 2, l: 1}? 1/105 Three letters picked without replacement from {j: 4}. What is prob of sequence jjj? 1 Two letters picked without replacement from {l: 2, d: 7, s: 5}. Give prob of sequence ss. 10/91 Four letters picked without replacement from nbrqnnjnrqbqjq. What is prob of sequence jrnq? 8/3003 Two letters picked without replacement from opcnbcpcc. Give prob of sequence np. 1/36 Calculate prob of sequence zyh when three letters picked without replacement from woznhznzwnyozhw. 4/1365 Four letters picked without replacement from jwww. What is prob of sequence wjww? 1/4 Two letters picked without replacement from jjjwjjsjjssjwssj. Give prob of sequence jw. 3/40 Three letters picked without replacement from ttzztztt. Give prob of sequence ztz. 5/56 Three letters picked without replacement from {v: 5, t: 8}. Give prob of sequence tvt. 70/429 Calculate prob of sequence gd when two letters picked without replacement from {g: 3, n: 4, d: 2, z: 2, u: 2}. 1/26 What is prob of sequence uuf when three letters picked without replacement from uffufffffffufff? 12/455 Three letters picked without replacement from gyvmyjyvyjmk. What is prob of sequence mvk? 1/330 Calculate prob of sequence crv when three letters picked without replacement from rvrrcrcxrc. 1/48 What is prob of sequence fyf when three letters picked without replacement from {j: 1, o: 1, a: 5, f: 9, y: 1}? 3/170 Calculate prob of sequence fq when two letters picked without replacement from {q: 1, f: 8, c: 4, x: 2}. 4/105 Calculate prob of sequence ouc when three letters picked without replacement from vgjujcuovguj. 1/440 Four letters picked without replacement from bxbjyxxbyyy. What is prob of sequence ybxb? 1/110 What is prob of sequence mcc when three letters picked without replacement from chhcmchhmhmmmmmmmcm? 20/969 What is prob of sequence dd when two letters picked without replacement from qqqqddqdqqqdqqdqqq? 10/153 What is prob of sequence ex when two letters picked without replacement from {e: 5, c: 4, x: 7}? 7/48 What is prob of sequence llz when three letters picked without replacement from {c: 2, z: 2, f: 2, l: 2, b: 7}? 2/1365 Four letters picked without replacement from {w: 7, m: 6, g: 1}. Give prob of sequence mgmm. 5/1001 Three letters picked without replacement from nnnbiznnbnnnngnbnk. What is prob of sequence gkn? 11/4896 What is prob of sequence bi when two letters picked without replacement from hsskiekikbkkkhs? 1/105 Three letters picked without replacement from {n: 2, e: 1, r: 1, a: 1}. Give prob of sequence nre. 1/30 Two letters picked without replacement from {y: 2, k: 2}. What is prob of sequence yy? 1/6 What is prob of sequence nfgg when four letters picked without replacement from {n: 1, f: 6, l: 1, g: 2, m: 2}? 1/990 Calculate prob of sequence tll when three letters picked without replacement from tltrxtltt. 5/252 Two letters picked without replacement from {b: 5, o: 4, s: 3, r: 1}. What is prob of sequence bb? 5/39 Calculate prob of sequence fuu when three letters picked without replacement from tddzddzfzzduddfdfd. 0 Three letters picked without replacement from wfrnwfffnwfwrftffw. What is prob of sequence ffw? 35/612 Four letters picked without replacement from {i: 5}. Give prob of sequence iiii. 1 What is prob of sequence gwxg when four letters picked without replacement from {p: 1, x: 2, y: 2, w: 1, g: 1, a: 1}? 0 Three letters picked without replacement from {s: 4, f: 16}. Give prob of sequence fff. 28/57 Three letters picked without replacement from {r: 1, y: 3, k: 1, f: 1, n: 6}. What is prob of sequence kyy? 1/220 What is prob of sequence uu when two letters picked without replacement from {u: 11, i: 5}? 11/24 Calculate prob of sequence ee when two letters picked without replacement from vvvvnenenevennnvv. 3/68 Calculate prob of sequence glk when three letters picked without replacement from lolfokgf. 1/168 Three letters picked without replacement from slldlslld. What is prob of sequence ssl? 5/252 Calculate prob of sequence bkzb when four letters picked without replacement from kbbbzbckkkc. 1/165 Three letters picked without replacement from vvvvkkvvkvv. What is prob of sequence vvv? 56/165 Calculate prob of sequence ww when two letters picked without replacement from oowowfkowwowkokwo. 15/136 Four letters picked without replacement from ccccccccc. What is prob of sequence cccc? 1 Three letters picked without replacement from iijijjiiiijjjjijijii. What is prob of sequence jji? 11/95 Calculate prob of sequence nrr when three letters picked without replacement from rrrrrrrrrrrnrrrrrrrr. 1/20 Three letters picked without replacement from {p: 3, v: 4}. What is prob of sequence vvv? 4/35 Two letters picked without replacement from hnkinwkhhihhhnknk. What is prob of sequence ii? 1/136 What is prob of sequence zy when two letters picked without replacement from ztzjyyzzzyyy? 25/132 Three letters picked without replacement from rtrqtqrrrqift. What is prob of sequence ifq? 1/572 Three letters picked without replacement from kszkipzppipzjppjpppj. What is prob of sequence sik? 1/1710
Suppose n = 2*y - 33, -y - 5*n = -6*y + 95. Is (-4)/y + 57492/28 a composite number? False Suppose 130402 = 9*f - 167507. Is f composite? True Let n be 5087 + -6 - (-2 + 0). Suppose n = 2*q - 7695. Is q a composite number? False Let d(m) = 22*m**3 + 2*m**2 + 7*m - 4. Suppose 0 = -5*h + 2 + 13. Is d(h) a composite number? True Is 204378/23*1/2 a prime number? False Suppose 7*s - 882 = 1267. Is s composite? False Is 67/67 + (33107 - 1) prime? True Let g(h) = 4*h**2 + h + 1. Let b be g(-1). Suppose 0 = -4*k - b + 8. Let u(x) = 56*x**3 - 2*x**2 + x. Is u(k) prime? False Suppose 9408 + 42603 = 9*o. Is o a prime number? True Let b(x) = -x**3 + 8*x**2 + 11*x + 29. Suppose -4*l - 4*v - 16 = 0, 5*l + 0*l + 4*v + 22 = 0. Is b(l) a composite number? False Let p = 48 + -46. Is p/6 - (-35860)/33 a prime number? True Suppose 0 = 3*m + 15, 2*m + m = -2*q - 15. Suppose -b - 3*b + 12 = q. Suppose n - b*n - 5*r + 1058 = 0, -2116 = -4*n - r. Is n composite? True Suppose -2*b - 7*h + 3 = -8*h, -2*b - 2*h = -6. Let j be (-4)/2*(1 + -3). Suppose b*d = 2*t + 3*d - 153, 4*t = -j*d + 316. Is t prime? False Suppose 3*j + j = 16. Suppose j*c - 2*c - 5*d = 15, -d = 3. Suppose 4*l - 56 - 36 = c. Is l prime? True Suppose 17*t - 940658 = -60585. Is t prime? True Suppose 25 = b - 4*f - 0*f, -5*b + 4*f + 45 = 0. Suppose 4644 = b*r - 3461. Is r a prime number? True Let x(g) = -3*g**2 + 19*g + 9. Let h = 26 - 27. Let c(w) = -w**2. Let b(s) = h*x(s) + 4*c(s). Is b(-11) a composite number? False Let w = 1895 + -310. Is w a composite number? True Let x = -3 + 8. Suppose 0 = -2*f + 2, -4*r + 412 = x*f - 333. Is r a composite number? True Let h = 26 + -64. Suppose 5 = -3*v - 1. Is (1/1)/(v/h) prime? True Let p = -29 - -33. Suppose 2*q = -2*l, 0*q = p*q - 5*l. Suppose -5*d - 5 = q, -3*y - 2*y + 3*d + 1058 = 0. Is y composite? False Let g = 3543 - 2426. Is g prime? True Let w = 9499 + -5298. Is w prime? True Let w be (-13)/(-78) + (-50)/12. Let h(i) = -6*i**2 + 8*i - 5. Let v(s) = -12*s**2 + 15*s - 10. Let z(g) = 11*h(g) - 6*v(g). Is z(w) composite? False Let y(g) = -1226*g**3. Let u = -82 + 81. Is y(u) a composite number? True Suppose 0*v - 4*v = -84. Let l = 44 - v. Is l a prime number? True Let l(n) = -4*n - 15. Let i be l(-7). Suppose -5*t - 8 = 3*u - 2*u, -2*t = -u + i. Is u a prime number? True Is (-2)/2*7559/(-1) a composite number? False Suppose 0 = -3*d - 2 - 22. Let w(g) = 3*g + g + 2*g**2 + 154 - 147. Is w(d) a prime number? True Let o = 69 + -66. Suppose 2742 = 2*p - 5*b, 0 = -0*b + o*b + 12. Is p composite? False Is (-168)/32 + 6 + (-23617)/(-4) composite? True Let g(m) = -361*m - 7. Let z be g(-4). Let j = 2696 - z. Is j a composite number? False Is (-2)/((-17)/((-4513092)/(-24))) composite? False Suppose 0 = 11*d - 157421 - 60896. Is d a composite number? True Let x be (1 + -1)/(-13 - -14). Is (-1)/(-3) + x - 4082/(-3) composite? False Is (1 + 1962/(-8))*16/(-4) composite? False Let o be (-6)/(-3) - (-1169 + -2). Is o/2*(-10)/(-15) composite? True Suppose -8*g = 2886 - 22222. Is g prime? True Let n(j) = 2*j - 11. Let i(w) = -3*w + 10. Let u(a) = 6*a - 20. Let v(y) = -5*i(y) - 3*u(y). Let f(k) = -2*n(k) - 3*v(k). Is f(9) composite? False Let h be ((-5)/10)/((-3)/2544) + -2. Let q = -57 + h. Is q a composite number? True Let m(p) = p**3 + 33*p**2 + 54*p + 5. Is m(-28) prime? False Let y be (13 - -2)*6/15. Suppose -236 = -y*s + 166. Is s prime? True Suppose -3834 = -5*w - 934. Is ((-7)/(-4))/(5/w) prime? False Let h be (0 + 12/15)*5. Let q(f) = 12*f**2 - 6*f - 5. Let i be q(-5). Suppose t - i = -h*t. Is t prime? False Let c be 1/(-2 - (-51135)/25566). Let v = -5983 + c. Is v a composite number? False Let g = -1665 - -5023. Suppose -1066 + g = 4*w. Is w prime? False Let h be 14 - 4/(2 + 2). Let d = 16 - h. Suppose -d*r + 0*r = -66. Is r composite? True Suppose 9*p = 7*p + 8. Suppose -x + 0*x + 14 = -4*o, 2*x + 3*o - 39 = 0. Is (-2)/p + 963/x prime? True Let c(z) = 20*z**2 - 12*z + 17. Is c(7) composite? True Is (-5)/(-1) + 211*(-860)/(-10) composite? True Suppose 3*z + 3 = 3*n, 5*n + z + 11 = 2*z. Is (-15)/(-10)*412/(-18)*n prime? True Suppose -b + 5*b - 6240 = 0. Suppose b + 1597 = 7*h. Is h composite? True Let t(q) = 4*q**2 + 4*q - 18. Let m be t(-6). Suppose 2*j + m = 5*j. Is j a prime number? False Suppose 0 = h - 3 - 0. Suppose -6 = -3*s + 2*f, 3*s - 2*s + h*f = 13. Is 2/s*(1 + 153) a composite number? True Let s be -2 - -5 - 11*118. Let f = 3134 + s. Let l = f - 1084. Is l a composite number? True Suppose -2*h = 2*h. Suppose -y + 1056 = -2*q, h = -q + 2. Let x = y + -275. Is x a prime number? False Let g be 30/(-20)*1*36. Let h = g - -145. Suppose b = h + 72. Is b composite? False Suppose -x = 2*s + 1, 4*x + 21 = 3*s + x. Suppose 4*w = -s*w + 5706. Is w prime? False Suppose -s = -3*d - 19, -4 = s - 5*d - 33. Let r(a) = 11 + 4 + s - a. Is r(6) a prime number? True Let s(t) = -27*t - 1 - 11*t - 10*t - 3. Let l be s(2). Let j = 21 - l. Is j a prime number? False Suppose 315261 = 31*v + 30092. Is v prime? True Let m(z) = -z**3 + 7*z**2 - 7*z + 15. Let a be m(6). Suppose 3*n + 0 = a. Suppose n*s = 8*s - 410. Is s a prime number? False Suppose 40*u - 72 = 34*u. Suppose -u*w = -7*w - 12590. Is w a composite number? True Suppose 37020 = -222*p + 234*p. Is p prime? False Suppose 2659 = 4*b + p, 2*b - 59 = -2*p + 1269. Suppose 0*i - b = -i. Suppose -4*u - u = -i. Is u a composite number? True Let d(s) = -1276*s - 62. Is d(-4) composite? True Let l = 407 - -65170. Is l a composite number? True Suppose 27 = -3*s - 2*a + 6*a, 2*a = -s + 1. Let j(o) = 2*o**2 - 10*o - 3. Is j(s) a prime number? True Suppose 44*s - 7*s - 223073 = 0. Is s prime? True Let n(a) = 10282*a - 23. Is n(1) a composite number? False Let b(u) = u**3 + 8*u**2 - 3*u + 3. Suppose 20*c - 8*c - 36 = 0. Is b(c) composite? True Let n be 669 - (3 + -7 + 3). Suppose 0 = -4*b + n + 174. Is b a composite number? False Let w(h) = 88*h - 29. Is w(22) composite? False Let d = 16884 + -10297. Is d a prime number? False Let w be 522 - 1 - (-12 + 8). Let v = -299 + w. Is v a prime number? False Suppose -3*j = 2*j - 1065. Suppose 0 = -4*g + 5*l - 277, 7*g - 4*l + 344 = 2*g. Let r = j + g. Is r a prime number? False Let i be -3 + 0 - 20/4. Is (-10)/i + (-9575)/(-100) a prime number? True Let y = -4315 - -2292. Let c = 556 - y. Is c prime? True Suppose 5*f = 4*f + 608. Let y be (-1)/(((-12)/f)/3). Let x = y - 83. Is x a composite number? True Suppose 4*i = -2 + 14. Suppose 2*h - 7*h - 16 = -4*a, h = 5*a - 20. Suppose -i*w + h = -771. Is w a prime number? True Let c = -66 - -70. Suppose -2*z = z - 3*n - 720, -3*z = -c*n - 723. Is z prime? False Suppose 0*k + 2 = k. Let s(z) = -z**2 + z + 22. Let v be s(5). Suppose k*r - 2996 = -v*r. Is r a composite number? True Suppose -4*c + 22*o + 118001 = 19*o, 0 = 2*o - 2. Is c a prime number? True Suppose -5*p + 7469 = 6*p. Is (p/(-4))/(5/(-20) - 0) prime? False Let v be 148/4 + 2 + -6. Suppose -v = -4*t - 3*l, -5*l - 10 = -5*t + 5. Suppose t*n - 2076 = -90. Is n a prime number? True Let z(n) = -n**3 + 51*n**2 - 66*n + 73. Is z(45) a composite number? True Let y(o) = -o**2 + 13*o - 5. Let m be y(12). Suppose 3*f + 14860 = m*f. Is f a prime number? False Suppose -2*f - 9 = j, 2*j = -0*f + 3*f + 10. Let q be -1 + f + 11 + -2. Suppose 3*m - 7*y - 2263 = -2*y, 0 = -q*m + 5*y + 3014. Is m prime? True Let a = -105 - -103. Is 0*a*(-3)/(-6) + 1711 a prime number? False Suppose -3*m - 2 = -4*j + 2, 4*j - 12 = 5*m. Is -2*7/56 - 29/m composite? False Suppose 0*p - 3*p - 4*y = -122, -3*y - 32 = -p. Suppose 48 + p = a. Suppose a = 4*k - 2*k. Is k a composite number? False Suppose -4*s + 8757 = 65*c - 62*c, 5*s + 11707 = 4*c. Is c a prime number? False Is (-1 + 1)*14/70 - -8654 composite? True Let l(y) = 25*y**2 - 2*y + 1. Let a be l(1). Let z be (a/(-36))/(2/5997). Let g = -960 - z. Is g composite? False Let g = -3688 - -6647. Is g a prime number? False Suppose -66 = 3*o - 0*o. Let l = 27 + o. Suppose 0 = 3*y + 9, 1717 = l*r - 0*r - 4*y. Is r prime? False Let r(z) = -z**2 + 15*z - 17. Let o be r(13). Suppose o + 21 = 5*v. Suppose 5*k + 0*f = -5*f + 50, -3*f - v = -3*k. Is k a prime number? False Let r(g) = 47*g + 163. Is r(34) prime? False Let r = 4968 + -2813. Is r a composite number? True Let d(l) = 4*l. Let o be d(0). Suppose o*r - 5489 = -11*r. Is r a prime number? True Suppose -5*r = -r + 64. Let q = r + 19. Let h(u) = 4*u**3 - 4*u**2 + 3*u - 2. Is h(q) a composite number? False Let m = -445 + 1103. Suppose -w - w + 2*j = -678, -2*w - 3*j + m = 0. Is w composite? True
Suppose -2*d - 26 + 76 = 0. Suppose 0 = 2*c - w - d, c - 3*w + 4*w - 11 = 0. Let n be 3*-1*(-2 + 1). Solve k = -n*k + c for k. 3 Let g be 4/8 + 5/(-2). Let q(t) = -12*t. Let a be q(g). Solve 5*l - a = 1 for l. 5 Let b(g) = g**3 + 2*g**2 - 4*g + 3. Let f be b(2). Let z = -4 + f. Suppose 0 = z*k - 5*k - 12. Solve k*q = q for q. 0 Suppose -5*x + 2 + 8 = 0. Suppose -3*h - 8 = -0*v - x*v, 4 = -h + v. Solve h*j - 10 = -2*j for j. 5 Let v = 7 + -3. Solve 16 = -0*d + v*d for d. 4 Let c(n) = -n**3 + 7*n**2 - 6*n + 3. Let g be c(6). Suppose 2*d + g*d = 20. Let v(a) = a - 4. Let k be v(d). Solve k*u = u for u. 0 Suppose -9*i - 20 = -10*i. Let b = i + -18. Let q = 3 + -2. Solve -b*o + q - 7 = 0 for o. -3 Let h be 5/((3 + -1)/(-6)). Let r be 1/(4/8) - h. Solve -r = 5*g + 8 for g. -5 Suppose 2*n + 2*n = 5*s + 35, 65 = 4*n + s. Let w be 3/5 + 51/n. Solve w*t = 13 + 7 for t. 5 Let u(x) = -x**3 - 20*x**2 + 2. Let y be u(-20). Solve -y*a + 3*a = -1 for a. -1 Let n be (-2)/4*(-6)/(-18)*0. Solve 4*y + 8 + 0 = n for y. -2 Let t = -3 + 13. Let g = 19 + -19. Suppose g = -d - d + t. Solve 0 = -0*j + 5*j - d for j. 1 Let l(n) = -n**3 - 7*n**2 + n + 6. Let h be l(-7). Let f be (-1 - h) + (9 - 9). Solve f = d + 3 for d. -3 Let n(c) = 2 + 11 + c + 1. Let i be n(-11). Solve i*u = 8*u for u. 0 Let v(g) = -g**3 + 4*g**2 + 2*g - 4. Let n be v(4). Suppose n*y - y - 6 = 0. Suppose 2*c + 5*a - 28 = 17, 6 = 2*a. Solve -u - y*u = -c for u. 5 Let d(n) = -n**3 + 7*n**2 + n. Let a be d(7). Let z = 2 + a. Solve -5*r + z = -1 for r. 2 Let b = 0 - 0. Suppose b = x + 4*x - 30. Let h be (-30)/4*6/(-9). Solve -x*z - h = -z for z. -1 Suppose 2*p - 2 = 4. Suppose p*m = -m + 16. Solve -4*j + m = -5*j for j. -4 Suppose 2*c = -c. Suppose -w = 3*w. Solve c = -3*z - w*z - 12 for z. -4 Let v be (8/20)/((-2)/(-50)). Suppose 4*g - 25 + v = -i, -2*i + g = -3. Let r = -2 + i. Solve 2 = l + r for l. 1 Let q(m) = -5*m**3 - 9*m**2 - 4. Let t(h) = 6*h**3 + 9*h**2 + 5. Let v(d) = -5*q(d) - 4*t(d). Let j be v(-9). Solve -3*y + j = 6 for y. -2 Let p(x) = -4*x - 1. Let q be p(-1). Let f = q + 2. Suppose 0 = -5*a - 4*m + 10, -a - 3*m - 8 = -f*a. Solve -w + a = -0*w for w. 2 Let a = -27 + 31. Solve -j = -0*j + a for j. -4 Let k(c) = c + 11. Let q be k(-15). Let t be (76/(-12))/(q/12). Solve -t = 4*p - 7 for p. -3 Suppose 5*q = q. Let i be (q - (-2)/4)*0. Solve -l - 5 + 0 = i for l. -5 Let j be (-14)/35 + (-12)/(-5). Solve 2 + j = 4*b for b. 1 Suppose 6*k - 30 = -0*k. Suppose i - 2*i - 29 = -k*p, i + 5 = p. Solve -g + p*g + 15 = 0 for g. -3 Let w(v) = -v**3 + 8*v**2 - 3*v - 3. Let j be w(7). Let n(h) = -h**3 + 2*h**2 + 9*h - 1. Let y be n(4). Solve -8*m + j = -y*m for m. 5 Let d(w) = -w**3 + 8*w**2 + 5. Let t be d(8). Solve t = -2*n + 3*n for n. 5 Let j be (-152)/(-56)*1 + 4/14. Solve -b + j*b = 0 for b. 0 Suppose -2*g + 72 = -2*f, 4*f - 139 = -4*g + 7*f. Let j = 59 - g. Solve 0 = 4*n + 8 - j for n. 5 Suppose 2 = 2*c - 8. Suppose -3*q - 4 = -z, q + 20 = -2*q + c*z. Suppose q = 3*y + 3, 5*y + 8 = m + y. Solve m*j + 1 - 9 = 0 for j. 2 Let b be -4 - (-4)/(-8)*-8. Solve b = -2*y + 3*y for y. 0 Let x = 36 - 22. Suppose -3*l + x = 2*v, 5*l = -v - 1 + 22. Solve -4*f + l = -0 for f. 1 Let c = 0 + 4. Suppose 0*y - 5*y = 0. Suppose y*i = -c*i + 8. Solve 0 = -i*v + 6*v + 4 for v. -1 Suppose -4*a = -5*a. Suppose w - 2 = -a*w. Solve 3 = w*i + 1 for i. 1 Suppose -5*s = 8*s - 65. Solve -10*f + 5*f + s = 0 for f. 1 Let c be ((-24)/(-10))/4*-5. Let u be (-3 + (-1)/(-3))*c. Solve 2*j - u = -2*j for j. 2 Let o(b) = -b + 10. Suppose -16 = 3*s - 5*s. Let k be o(s). Let v be (2 - 2)/(-1 + k). Solve 5*l - 6 - 4 = v for l. 2 Let s(b) = -b**3 + 14*b**2 - 13*b + 4. Let c be s(13). Solve -c*u - 4 = -0*u for u. -1 Suppose -51*s = -48*s - 12. Solve -s*x - 1 = -5 for x. 1 Let t(r) = -r**3 - 3*r**2 - r - 1. Let k be t(-3). Suppose k*h = -0*h. Suppose 3*z - 6 = -h*z. Solve -3*c + 1 + z = 0 for c. 1 Let i be (3/2)/((-2)/4). Let l be 2/(6/i)*0. Solve l*h + 3 = -h for h. -3 Let g(d) = -d**3 + 7*d**2 - 5*d - 1. Let x be g(5). Let b be (-1)/(-4) - (-42)/x. Solve 3*f - b*f = -3 for f. -3 Let l(o) = -o**2 + 6*o - 2. Let t be l(5). Solve -c = t*c for c. 0 Suppose 0*m = -m - 4*h + 6, 0 = 3*m - 4*h - 18. Suppose 0 = -m*v + 7*v. Solve 2 + v = r for r. 2 Suppose l - 5*l = 0. Solve l = -2*d - d + 12 for d. 4 Suppose 2*p = p + 4. Solve 0*x - p = x for x. -4 Suppose 3*l = 6*l - 15. Suppose -l*a + 12 + 13 = 0. Let k(x) = -x**3 + 4*x**2 - x - 4. Let h be k(3). Solve -p = -a + h for p. 3 Suppose -3*l + 3 + 3 = 0. Solve -6 - l = 4*i for i. -2 Suppose -5*z + 30 = -4*x, 3*x - 4 = -z + 2. Let p be 0*-2*1/z. Solve p = -f - f for f. 0 Suppose 2*h + 6 = 3*h. Let k(u) = -u**2 + 5*u + 8. Let x be k(h). Let z = 46 - 26. Solve x*l = -3*l + z for l. 4 Let a(z) = -z**2 - 3*z + 3. Let p be a(-3). Suppose 3*c = 3*y, -p*c + 0*c = -y - 8. Solve y = -4*n - 0 for n. -1 Suppose 8*c - 44 = 36. Solve 0*v + 2*v - c = 0 for v. 5 Let m = -14 + 9. Let s be 4/(-20) - 1/m. Let c(u) = u + 9. Let h be c(-4). Solve -20 = -s*z + h*z for z. -4 Let o(v) = v**2 - 6*v - 13. Let h be o(8). Solve h*g + 0*g + 15 = 0 for g. -5 Let m(c) = c**3 - 6*c**2 - 3. Let d be m(4). Let y = d - -51. Solve 6 = 2*s + y for s. -5 Let h = -17 - -20. Solve -h = -3*x + 3 for x. 2 Let r = -4 - -4. Solve r = 7*g - 3*g - 16 for g. 4 Let l = -4 - 2. Let a(h) = -2*h - 8. Let p be a(l). Suppose 4*o + 0*j + 3*j = 5, 0 = p*o - j - 25. Solve x - o = 6*x for x. -1 Let u(y) = -5*y - 1. Let d be u(-1). Solve -3*r + d = -2*r for r. 4 Suppose 13 + 2 = 5*k - 4*z, 3*k - 4*z - 9 = 0. Solve -k*m = -7*m - 12 for m. -3 Suppose -2*x + 1 + 1 = 5*a, 34 = 5*x - 2*a. Suppose b - x*b = -30. Solve -b*r + 2*r = 0 for r. 0 Let d be (-17)/2 - 9/(-18). Let m(l) = -2*l - 12. Let p be m(d). Solve p*g - 5 = 15 for g. 5 Suppose -3*a + 28 = 4*x - 52, -2*a = 2*x - 40. Solve -5*y - x = -0*y for y. -4 Let i(w) = w**3 + 4*w**2 + w. Let n be i(-2). Suppose -r = -n*r. Solve j + r*j + 1 = 0 for j. -1 Let n be 1*(-3)/(-6)*18. Let s be (n + -6)*(1 - 0). Suppose -s*m - 6 = -3*o, 3*o - 16 = -2*m - 0*m. Solve o*x - 15 = -3 for x. 3 Let b be 3 + 3/(3/10). Solve 3 + b = -4*s for s. -4 Let j = -124 + 125. Solve 0 = -2*s - 5 - j for s. -3 Let o(z) = z**2 + 3*z - 3. Let x be o(-6). Let h(a) = -a**2 - 3*a + 4. Let v be h(-4). Let n be (v - (1 - 1))*1. Solve n*i = 3*i + x for i. -5 Let q = 4 - 3. Let v be 4/12 + q/(-3). Suppose z + 3*r = 23, -z + 0*z + r + 7 = v. Solve 4*k + 1 = -z for k. -3 Suppose -3*t - 2*t + 10 = 0. Suppose t + 2 = s. Solve s*v = -v for v. 0 Suppose 4*k + 32 = -z + 4*z, -3*k - 52 = -4*z. Suppose z = -4*f + 4*h, 5*f + 2*h - 8 = f. Let l = 0 - f. Solve l = -4*p + 8*p + 16 for p. -4 Let q(n) = n**3 + n**2 - 3*n - 3. Let k be q(2). Solve -s = k*s for s. 0 Let k(q) = -q**2 - 8*q + 4. Let i be k(-8). Let z be 2/(3 - 2) + 0. Suppose z*r - 3*r = 0. Solve r = -i*a - a + 10 for a. 2 Let f be (1 + 0/(-3))*15. Solve -4*t + 9*t = -f for t. -3 Let q(x) = -x - 8. Let a be q(-10). Suppose y + 2 = 3*n, 2*n = 3*y - n - 6. Suppose y*r - 3*r = 0. Solve 4*m + a - 14 = r for m. 3 Suppose 5*r - 4*r - 3*b + 10 = 0, -4*r + 25 = b. Solve 0*a - r*a = 5 for a. -1 Let o = -99 + 99. Solve o = 3*a - 5*a for a. 0 Let p be 6/(-27) - (-1090)/45. Suppose -2*b = 5*o - 17 - p, 0 = b - 3. Suppose -2*r + 8 = 2*a, 7*r = 3*r + a + 16. Solve -o = -r*y - 23 for y. -4 Let r be 0/2*(-1)/(-1). Suppose 0 = -3*s + 4*j - 0*j + 20, 0 = 3*s - 2*j - 10. Let v = r + s. Solve v = 4*n + n for n. 0 Let w(l) = 2*l**2 - 2*l - 1. Let m be w(-1). Solve -m = -q - 7 for q. -4 Let i be 1/(-2) + 7/2. Let t be (i - 2)*3 + 1. Suppose -9 - 27 = -t*s. Solve -2*r = r + s for r. -3 Suppose -4*n + 5*c - 40 = -8*n, -5*n - c + 29 = 0. Suppose -n*i + 4*i = 0. Solve 2*f + 6 - 2 = i for f. -2 Suppose -4*k + 28 = -0. Solve -3*g - 4 = -k for g. 1 Suppose -7*u + 8 = -3*u. Let i(y) = y**3 + 3*y**2 + 4*y + 2. Let l be i(-2). Let a = u + l. Solve a*r + 5*r = -15 for r. -3 Suppose -4*v = 5*w + 5, -2*v - 15 = 6*w - w. Solve z = v*z - 12 for z. 3 Suppose -2*r = -0*m + 3*m + 37, 2*m - 1 = r. Let t = r - -11. Solve t = 4*c + c + 25 for c. -5 Suppose 5*n + 4*k = 5, 4*n - 4*k = 8 + 32. Solve n = -m - 0 for m. -5 Suppose -1 - 4 = -k. Let l be (-1 + 2)/((-5)/(-35)). Let d(b) = -b**3 + 8*b**2 - 5*b - 7. Let n be d(l). Solve 4*c = n + k for c. 3 Suppose 18 = 4*n + 2*w, 0*w = -2*n + 2*w. Suppose -b + 39 = 4*s, n*s - b - 36 = -4*b. Solve -l - 2*l = -s for l. 3 Let s be 1/(-2) - 22/(-4). Solve s*t - 15 + 5 = 0 for t. 2
Calculate -14567013 divided by -369. 39477 Divide 800772 by -28. -28599 Divide 143045525 by 143045525. 1 Divide 10934798 by 2342. 4669 -19791 divided by -16149 6597/5383 Divide -7981073 by -74. 7981073/74 Calculate 63 divided by -4758. -21/1586 -33273006 divided by 3 -11091002 30 divided by 965012 15/482506 -2506 divided by 90 -1253/45 What is -462267130 divided by 13? -35559010 Calculate 278870132 divided by -4. -69717533 What is 22935192 divided by -24? -955633 Calculate -373 divided by 4838735. -373/4838735 Divide -499885280 by -4. 124971320 What is 9748064 divided by 152? 64132 Divide 2166 by 978. 361/163 What is -118 divided by -220? 59/110 What is -3999831 divided by 65571? -61 Calculate -1925976 divided by 59. -1925976/59 Divide -38621792 by -1206931. 32 What is 0 divided by -45420288? 0 Calculate 23934 divided by 270. 3989/45 3014666 divided by 3 3014666/3 27093860 divided by -10 -2709386 Divide -5417210 by 2. -2708605 What is 2050272 divided by -54? -37968 20 divided by 26497645 4/5299529 30266472 divided by -8 -3783309 Calculate -890296845 divided by -5. 178059369 Calculate 13319262 divided by 4439754. 3 What is 17557868 divided by 8778934? 2 What is -10751 divided by 69? -10751/69 32053599 divided by -3 -10684533 Calculate -17635470 divided by 10. -1763547 What is -108495153 divided by 36153? -3001 Divide -94774 by -135. 94774/135 Calculate 595625 divided by -533. -595625/533 What is -2086814 divided by -251? 8314 What is 6001788 divided by -4108? -1461 Calculate 1842 divided by 883. 1842/883 Divide -4990730 by -112. 2495365/56 Divide 0 by 6644286. 0 Divide -12826174 by -117. 12826174/117 -1 divided by -63365 1/63365 Divide -14163 by 865. -14163/865 Divide -5075158 by -1322. 3839 What is 17245228 divided by 41756? 413 What is 0 divided by -25236232? 0 Calculate -1 divided by 1325367. -1/1325367 Divide 2 by -3246770. -1/1623385 Calculate 206131 divided by 555. 206131/555 Divide -545200224 by -3. 181733408 -2867789 divided by -2867789 1 Divide 9 by -77440. -9/77440 What is -1567020 divided by 20? -78351 What is -608341 divided by -92? 608341/92 What is 3605 divided by -388? -3605/388 Divide -1 by 4577567. -1/4577567 Divide -9299290 by -265694. 35 Divide -1170 by 108494. -585/54247 What is 265145 divided by -1? -265145 -53070660 divided by -1 53070660 Divide 567 by 42766. 567/42766 Calculate -56944194 divided by -7. 56944194/7 Divide 1077561774 by 179593629. 6 What is -560050065 divided by 112010013? -5 Divide 55855656 by -9. -6206184 Calculate 825046128 divided by 15336. 53798 -2803580 divided by 2132 -1315 Divide -27415744 by 13492. -2032 What is 4431200 divided by 58? 76400 What is 11705637 divided by 174711? 67 25639140 divided by -4 -6409785 Calculate -2969897800 divided by -5. 593979560 What is -27793194 divided by 712646? -39 Divide -1099896 by -549948. 2 Divide 219258 by -12181. -18 66230862 divided by 3 22076954 What is 2639516616 divided by 6? 439919436 Divide 25491 by -29143. -25491/29143 71 divided by 160513 71/160513 Divide 49825590 by -3. -16608530 Calculate 1 divided by 2228073. 1/2228073 Calculate 260 divided by -396841. -260/396841 Divide -34725980 by 2. -17362990 Calculate 57 divided by 43074. 19/14358 -93678333 divided by -193951 483 Divide 2 by 173575227. 2/173575227 Calculate -110611 divided by -100. 110611/100 981754648 divided by 169064 5807 Divide 145913 by 25. 145913/25 Calculate 136 divided by 400842. 68/200421 Divide -172 by 3736984. -43/934246 -5 divided by 624651 -5/624651 Calculate -37672200 divided by -3. 12557400 Calculate -1066 divided by 1550. -533/775 Divide -241995397 by -5. 241995397/5 Divide 3723295 by 2. 3723295/2 207666891 divided by -1 -207666891 -78058029 divided by -531007 147 Calculate -158111172 divided by 6. -26351862 -25 divided by 270208 -25/270208 Calculate -1142082812 divided by 141242. -8086 Calculate -143 divided by 215405. -143/215405 Divide 238955 by 1041. 238955/1041 Divide 64302666 by 8263. 7782 Calculate -2990 divided by -8562. 1495/4281 Calculate -9539043 divided by 414741. -23 Calculate 3 divided by -73662467. -3/73662467 What is 0 divided by 16685375? 0 Calculate -2 divided by -20031036. 1/10015518 Divide 30338820 by -2022588. -15 Calculate -19418859 divided by 27. -719217 -939385500 divided by -1252514 750 Calculate -7986282 divided by 2. -3993141 Divide 40745940 by 1198410. 34 Calculate -18307 divided by 1917. -18307/1917 What is 2 divided by -30279821? -2/30279821 Calculate -4 divided by -296525722. 2/148262861 Divide 22672407 by -1. -22672407 Divide -688154 by 421. -688154/421 57 divided by 131370 19/43790 Divide -24340798 by -593678. 41 What is -13946 divided by -33170? 6973/16585 Divide -14408060 by 4. -3602015 What is -5202189 divided by -5202189? 1 Divide 8192210 by 5. 1638442 4910638 divided by -2455319 -2 146844 divided by 3039 48948/1013 Divide -50330532 by -461748. 109 What is -11472 divided by 847? -11472/847 Divide 225704156 by 4. 56426039 Calculate 1103 divided by 164433. 1103/164433 -11773350 divided by -156978 75 Calculate 90 divided by -2468525. -18/493705 Divide -67477800 by 211. -319800 Divide -180703805 by 155. -1165831 31676395 divided by -6335279 -5 Calculate -31161 divided by 1358. -31161/1358 What is 185330 divided by -41? -185330/41 Divide 15499746 by 46. 336951 What is 10897 divided by 29553? 10897/29553 Calculate -156 divided by -103050. 26/17175 Divide 486712278 by 1479. 329082 Calculate 3081850 divided by -5. -616370 Calculate -7 divided by -92492. 7/92492 Calculate -1807 divided by 199. -1807/199 Divide -25221 by -445. 25221/445 154566 divided by -1941 -51522/647 -27383622 divided by 25858 -1059 Calculate 1636647 divided by -30. -545549/10 -16848630 divided by 886770 -19 Calculate 9481970 divided by -152935. -62 What is -516581424 divided by -10279? 50256 Calculate 1 divided by 2093491. 1/2093491 What is -26775432 divided by 1? -26775432 Calculate -21501095 divided by 390929. -55 What is -4 divided by 909399? -4/909399 What is 6599230 divided by 1870? 3529 Divide 4913 by -740. -4913/740 What is 364774791 divided by 121591597? 3 787106 divided by 11 787106/11 What is -65089413 divided by -141807? 459 Divide -701389350 by -3117286. 225 Calculate 11550508 divided by -1. -11550508 What is -3134040 divided by -5330? 588 26 divided by -2968433 -2/228341 Calculate 3 divided by -1168484. -3/1168484 What is 41038 divided by 2040? 1207/60 Calculate 4374164 divided by 2. 2187082 Calculate -8579 divided by -53591. 8579/53591 What is -344096460 divided by 34409646? -10 Calculate -598096 divided by -5156. 116 Divide -19029048 by -5. 19029048/5 Divide 0 by -1563282. 0 43108352 divided by -111104 -388 What is 10707676 divided by 196? 54631 Calculate 134108 divided by 46. 67054/23 Divide -347903 by 347903. -1 Divide 7 by -3230061. -7/3230061 What is -239538040 divided by -855493? 280 Divide -78048 by -358. 39024/179 Calculate -8772732 divided by 50418. -174 Divide 6153492 by -80967. -76 What is 269393004 divided by 74? 3640446 What is 11560 divided by 1474? 5780/737 What is -96079 divided by 20? -96079/20 Divide -4 by 8067288. -1/2016822 Calculate -32050 divided by 18. -16025/9 11 divided by 7219013 11/7219013 Divide 1513 by -361848. -1513/361848 Divide -780824 by -83. 780824/83 What is -60436960 divided by 2? -30218480 Divide 0 by -105703126. 0 -459552470 divided by 99578 -4615 Divide -4014441 by -46143. 87 Divide -14452116 by 4817372. -3 Divide 1208330 by -1. -1208330 -20429600 divided by -408592 50 What is 768128 divided by -8? -96016 Calculate 170333 divided by -2715. -170333/2715 Calculate 64314646 divided by -682. -94303 -64805220 divided by -2 32402610 Divide 18 by -1041901. -18/1041901 What is 54894360 divided by -15160? -3621 What is -155968552 divided by -19496069? 8 -3771247 divided by 3771247 -1 What is -77319104 divided by -9664888? 8 -3384 divided by 14249 -3384/14249 Divide 3201280 by 52480. 61 Calculate 122629430 divided by 1592590. 77 Divide 1320 by 4534. 660/2267 What is -509632687 divided by 1001243? -509 Divide -117388 by 29347. -4 Calculate 1659110 divided by 42. 829555/21 Divide -5215593 by -17923. 291 Calculate 0 divided by 130856453. 0 What is 68385538 divided by -1? -68385538 3119370 divided by -43 -3119370/43 Divide 62458096 by 16. 3903631 Calculate 142281 divided by 482. 142281/482 27455750 divided by 50750 541 What is -151267298 divided by -5817973? 26 -190722 divided by -27246 7 Divide 55585000 by -625. -88936 Calculate -15119130 divided by 116301. -130 Calculate 3 divided by -6307650. -1/2102550 Calculate 1 divided by 2774746. 1/2774746 What is -10235 divided by -21838? 10235/21838 Divide 14529 by 10364. 14529/10364 What is -514136 divided by -2? 257068 Divide -351 by -262542. 117/87514
Calculate 8 + (2 - (18 - 11)). 3 Calculate 5 + 0 - -1 - (132 + -128). 2 What is (-32 - -34) + -1 + -2 + 4? 3 (3 - -6) + 11 + -15 5 Evaluate (16 - -1) + (5 - 16). 6 Evaluate -9 + (11 - 6) + 2. -2 Evaluate -7 + (0 - 4 - -6). -5 12 - (11 + -3 + -2) 6 What is 5 - (1 + 0 + 1 + 0)? 3 What is the value of 1 - (4 - -2) - -11? 6 Evaluate -5 + (-1 - -2) + 0 + 4. 0 Evaluate (10 - 5 - (5 + -7)) + -3. 4 What is -3 + (6 - (-9 + 4))? 8 What is 2 + 2 + 0 - (19 - 16)? 1 Calculate (-9 + (3 - 0) - -5) + 1. 0 What is 0 - 1 - (-22 + 15)? 6 Evaluate 16 + 1 + -6 + -6 - -4. 9 Evaluate 2 - (-1 + 3 + 1 - 6). 5 2 - 5 - (0 - (-3 - -5)) -1 Evaluate -6 + 5 + 2 + 4 + 0. 5 What is (3 - (6 - -2)) + (-2 - -11)? 4 What is the value of (-6 - (-13 - (-3 + 0))) + 1? 5 (2 - 4 - -6) + -3 1 What is the value of -1 + 2 - (-1 - -1 - -1)? 0 -1 + 1 - 7 - (7 - 10) -4 Calculate 8 - (-1 + 9) - 1. -1 Calculate 1 + 1 - (7 + -5 - 5). 5 Evaluate 1 + (-5 - (-1 + -2)). -1 What is 1 - 4 - ((3 - 5) + 3)? -4 0 - (-1 + 4) - 0 -3 Calculate -20 - -15 - (-1 - -2 - 4). -2 Calculate 6 - (-2 + (-3 - -6) + 2). 3 -8 - (4 + -1 - 12) 1 Calculate -7 - (-7 + 0 - (10 - 11)). -1 Evaluate -6 + (4 - (3 - 1)). -4 -2 - (-8 + 8 - (1 - 2)) -3 What is 1 + 0 - (4 - (2 - 8))? -9 Evaluate -13 + 7 + (-5 - (-3 + 0)). -8 What is the value of -5 - ((-3 - 1) + -5)? 4 Evaluate 0 - (-6 + 1 + 0 + 7). -2 (-1 - (2 - 3)) + 43 + -37 6 What is the value of 4 - (-6 + 13 - -2)? -5 What is the value of -2 + (1 - (-1 + 2 - 7))? 5 (2 - 5) + (6 - 3) + -2 -2 Evaluate -5 - (5 + -16 + -3) - 1. 8 -9 - (-9 - 1 - -4 - -2) -5 What is (3 - 4) + (3 - 0) - -3? 5 -2 - (-7 + 1 - 1) 5 Calculate -1 - ((1 - 4) + 7). -5 22 - 34 - (-6 - -1) -7 What is the value of (2 - 0) + 4 + -4? 2 What is -1 + -1 + 12 + (-19 - -15)? 6 What is 1 + 2 - (116 + -118)? 5 Calculate (-3 - 8) + 1 + 10. 0 What is -3 + 4 + -3 + 2 + -5? -5 What is the value of 1 + (2 - 10) + 4? -3 What is the value of 8 - (10 + 5) - -7? 0 What is the value of -16 - (-4 + -4) - -6 - -9? 7 What is the value of 8 - 24 - -11 - (-2 - 1)? -2 Evaluate -11 - (8 + -15) - (0 + 0). -4 Calculate (7 - -1) + 31 + -31. 8 What is -2 + 1 + (-14 - (7 + -26))? 4 What is the value of (1 - (-4 + -3)) + -6? 2 (1 - 7) + (11 - 6) -1 Calculate -7 - ((-12 - 4) + 6). 3 Calculate -5 + 12 - 7 - 4. -4 Calculate -2 + -5 + -22 + 27 - -6. 4 (1 - 0) + -16 + 18 3 What is the value of -58 - -60 - (-1 - 0)? 3 13 + -3 + -3 + (1 - 5) 3 What is -3 - (1 + -3) - (-14 - -18)? -5 Calculate 0 + 2 - (-4 + 16 - 12). 2 Evaluate 1 + -6 + 39 + -23 + -19. -8 -1 + (-1 - -3 - 0) + 2 3 1 + 10 + -6 - 8 -3 What is the value of -1 - 9 - (-37 + 31)? -4 Calculate 10 + -7 - 0 - 9. -6 Calculate -3 + (-1 - -2) + 3. 1 What is 1 + (1 - (-1 + 2))? 1 What is 15 + -20 + (-8 - (0 + -4))? -9 Calculate -3 + (-47 - -41 - (1 - 11)). 1 3 + -21 + 8 + 6 -4 What is -1 - ((-7 - -8) + 1 + 4)? -7 Evaluate -44 + 33 + 2 + (3 - 2). -8 22 + -26 + (5 + -1 - 0) 0 -1 + -4 + 9 + -7 -3 Calculate -3 + (3 + (2 - 7) - -10). 5 Evaluate 12 + (-4 + -2 - -1) + -5. 2 5 - (12 - (1 + 16)) 10 What is -8 - ((-5 - -9) + -7 - -1)? -6 What is the value of -4 + (-1 - ((5 - 4) + -1))? -5 What is the value of (4 - 1) + (-1 - (2 + 4))? -4 What is -3 + (2 - 3) - -9? 5 Evaluate (-2 - -4) + 0 - 1. 1 -12 - -2 - (5 + -10) -5 2 + 1 + (-7 - -3) + 5 4 Calculate (-4 - 4) + (6 - 0). -2 Evaluate 65 + -62 + (0 - 0). 3 What is 0 - (-3 - (0 + 2))? 5 Evaluate -12 + 5 + 5 + -1. -3 Evaluate -4 + (-9 + 10 - (1 + -4)). 0 What is the value of -4 + -4 + 5 - 1? -4 (-6 - -10) + -4 + -1 -1 What is the value of 1 + -6 + (9 - -1) + -6? -1 What is 8 + 4 + -23 - -17? 6 What is the value of -8 + 8 + 2 + -2? 0 What is the value of 22 - 21 - (-2 - (-1 + -1))? 1 Evaluate 5 + 0 - (6 + 4). -5 What is 1 + -5 - -1 - -4? 1 Calculate 3 - 0 - (3 + -4 + 3). 1 What is the value of (-7 - -23) + (4 - 14)? 6 Evaluate 6 - (-4 - -23 - 6). -7 Evaluate -18 + 8 + 2 + 15. 7 What is the value of -8 + (9 - 5) + -2? -6 Calculate 6 - 8 - (4 + 0). -6 What is 57 - 59 - ((1 - 0) + -4)? 1 What is the value of -10 - ((-22 - -8) + 8)? -4 4 - 11 - (-1 + -12) 6 What is 1 + (10 + -6 - 10)? -5 Evaluate (-14 + 15 - (4 + -2)) + -1. -2 What is the value of (-1 - 1) + (8 - (6 - -2))? -2 Calculate -1 - (-2 - (1 - (4 - 7))). 5 Calculate -1 + -5 + 12 - 7 - -3. 2 0 + 15 + -8 + (-3 - 1) 3 Evaluate 7 + 0 + (6 - 10). 3 What is (9 - (9 + -2 + -3)) + -4? 1 What is 4 - (0 + 1 - (26 + -30))? -1 What is -11 - (-3 - -3) - -14? 3 Evaluate 1 + -7 + 5 + -4. -5 13 + -10 - (1 - (3 - 4)) 1 What is the value of (-2 - 1) + -16 + 18? -1 What is the value of 1 - (-11 - -19) - -11? 4 Calculate -1 + 5 - (-5 + 0 + 4). 5 What is 21 - 23 - (0 - 2)? 0 (-3 + 3 - -2) + -1 1 Calculate 8 - (0 + (-8 - -23)). -7 What is -2 - -12 - -5 - 6? 9 (-9 - (2 - 21)) + -3 7 Calculate 0 - (-7 + 3 - -2). 2 Evaluate -4 - (6 + -1) - -3 - 0. -6 Evaluate (0 - 1) + -3 + 8. 4 -4 + 0 + (2 - -2) + -3 -3 What is the value of -6 + 6 - (2 + -5)? 3 What is -2 + 0 - ((-7 - -5) + -1)? 1 Evaluate -1 + 4 - (11 + -14 - -11). -5 What is the value of 3 + (-2 - 4) - (-9 + 2)? 4 (-8 - (0 - 6)) + (-5 - -1) -6 1 - (1 - 6 - -8) -2 Calculate -2 - (7 + -11) - (-3 + 1). 4 What is the value of 5 - (-4 - (-4 - 4))? 1 5 - (0 - (-5 + -2)) -2 Evaluate 1 + -2 + 0 - (8 - 10). 1 5 + 1 - (7 - (-13 + 10)) -4 Calculate -1 + -3 + 3 + 5. 4 What is 9 + -6 + -4 + 7 + -3? 3 -7 + 0 + 4 + -2 -5 Calculate -7 + -8 + 13 + 1. -1 What is -2 - ((-3 - -1) + 4)? -4 What is 13 - 7 - 16 - -16? 6 -1 - (-6 + -1 + 4) 2 Evaluate -3 + (-6 - (-5 - 5)). 1 What is -7 + 6 - (2 + -4 - -2)? -1 -2 - -5 - (4 + -3) - 6 -4 What is -3 - (3 + (-5 - 3) + 3)? -1 What is the value of 7 - 1 - (-6 - -19)? -7 20 + -21 + (-1 - (-1 + 0)) -1 Calculate (0 - 2) + (2 - (5 - 2)). -3 Evaluate (-2 - (-3 - 3)) + -4. 0 -2 + 0 + 21 + -17 2 Calculate (3 + (-14 - 1) - -6) + 1. -5 Evaluate (10 - 5 - 0) + 0 + 0. 5 Calculate (3 - ((0 - 2) + 3)) + 1. 3 What is the value of 3 + (-10 - -11) + -7 + 1? -2 Calculate 3 - (-1 - -1 - 1). 4 Calculate (3 - (5 + -2)) + 4. 4 What is -5 - (1 - (-2 + -2 + 6))? -4 What is the value of (2 - 4) + 8 - (2 + 6)? -2 What is -2 + (7 - 1) - (-1 + 1)? 4 Evaluate (1 - 2) + (1 - (-3 + 3)). 0 Calculate -4 - (0 + -2) - 4 - -2. -4 Calculate (3 - 2) + -1 + 0 + 1. 1 Evaluate -2 - ((0 - 5 - -3) + -3). 3 What is -9 - -6 - (-5 - 1)? 3 What is the value of ((10 - 5) + -9 - 0) + -2? -6 Evaluate (-2 - -4 - 0) + -18 + 12. -4 Evaluate -16 + -5 + (4 - -11). -6 What is -14 + 6 + -1 - -7? -2 What is the value of 1 - 0 - (1 - (-9 - -4))? -5 0 + 4 + -5 + -1 + 1 -1 What is -2 + 3 + 2 - -2? 5 What is -3 - (-2 + -3) - (33 - 28)? -3 -4 + 1 - (0 - 3) 0 -3 - 0 - (-5 + 8) - -4 -2 Evaluate (5 - 11) + -5 + 16. 5 1 + (1 - 4) - -4 - 5 -3 What is -6 + 3 - (-1 + -2)? 0 5 - (-2 + (4 - -4) + -6) 5 (2 - (12 - (-1 - -5))) + 2 -4 Calculate -2 + -4 - (-12 - -3). 3 Calculate 4 + (-10 - -4) + -6 + 15. 7 Evaluate 1 - (-9 - -6) - 3. 1 What is (6 + 1 + -3 - 3) + 5? 6 Calculate -12 + (28 - 8) + -1 + -1. 6 Evaluate 6 - ((1 - 0) + 0 - -9). -4 What is 0 - (1 + -2 - -1)? 0 1 + -2 + -3 - -8 4 3 - (4 - (-1 + 7)) 5 Evaluate (-2 - (-3 - 3)) + -2 - -2. 4 -2 + (12 - 10) + -8 -8 What is the value of 8 - (-3 - -7 - 1 - 0)? 5 Calculate 0 - (2 - (-7 + 10)). 1 Evaluate 2 + 3 + -4 + 2. 3 Calculate -4 + (2 - -4) - 0. 2 Evaluate 8 - -1 - (9 - -3). -3 What is the value of 20 + -13 + -1 - 13? -7 What is 4 - (-3 + 4) - 0? 3 -2 + (-8 - (-3 + (4 - 3))) -8 Calculate (-7 - (0 - 3)) + 5. 1 (-9 + 0 - -6) + (-3 - -5) -1 Calculate -4 + -5 + 0 + 1. -8 What is the value of 0 + -1 + -4 - -2? -3 What is the value of 1 - -5 - (5 + (2 - 3))? 2 Calculate 0 - -3 - (-2 + 5). 0 What is -6 + (4 - -4) - 0? 2 What is 20 + -12 + (0 + -1 - -3)? 10 Calculate 8 + (-7 - 0) - 1. 0 -2 + 6 + 3 + -9 - -11 9 Calculate 6 - -2 - (3 + -1 + 0). 6 What is the value of (1 - -1) + -1 + 63 + -58? 6 What is the value of -5 + (3 + -1 - -3)? 0 What is the value of 0 + -1 - ((-36 - -18) + 21)? -4 Calculate -4 - (3 - (2 + 2)). -3 Calculate (-4 - (1 + 0 + -1)) + 9. 5 -11 + 6 - (-12 + 6) 1 8 + -4 + -7 + 1 + 3 1 What is 0 - (9 - (5 + -4 - -2))? -6 Evaluate 0 - 6 - (4 + 0 + -5). -5 Evaluate (0 - (-3 - -10)) + (-18 - -22). -3 What is the value of (4 - 2) + (-4 - -4)? 2 What is 3 + (5 - (1 - (-2 - 1)))? 4 Calculate -2 - -6 - (0 - (-3 + 4)). 5 Evaluate 4 - (-9 - (5 + (4 - 15))). 7 What is 1 - (-4 + 3 + (-2 - 0))? 4 Calculate 6 - (3 - (-1 + 3) - -7). -2 Evaluate -2 - (-5 - -7 - (6 + -1)). 1 Evaluate 0 - -17 - (-26 - -33). 10 What is the value of 3 + 2 - 2 - (-3 + 2)? 4 Calculate 1 + -1 - (-11 - -6 - -8). -3 1 - 11 - (11 - 16) -5 Evaluate -4 + 2 + 1 - 0. -1 What is the value of 8 - ((5 - (0 - 0)) + -2)? 5 What is -9 - -3 - (-2 + -22 + 9)? 9 1 - (2 + 1 + (-3 - 2)) 3 Evaluate (19 - (25 + -13)) + -7 + 1. 1 What is 2 - (1 + 1) - -2? 2 What is the value of -2 + 7 + 18 + -30 + 9? 2 What is the value of 4 + -1 + 0 + -7 - 2? -6
Let i(p) = 2*p - 20. Let n be i(15). Let r be (n - 4)/(-2)*3. Let a = 3 - r. List the prime factors of a. 2, 3 Let o = 152 + -308. Let x = 230 + o. List the prime factors of x. 2, 37 Suppose -120*r = -112*r - 29000. What are the prime factors of r? 5, 29 Let d be ((-4)/1)/(2/(-2)). Suppose 0 = -d*v - 8, 0*v = -3*p + v - 16. List the prime factors of (4/p)/(2/(-21)). 7 Let z(s) = s**3 - 17*s**2 + 2*s + 67. Let w be z(17). Let h = -91 + w. What are the prime factors of h? 2, 5 Let t(w) = 34*w**2 - 2*w - 2. Let u(g) = g**3 - 11*g**2 + g - 2. Let i be u(11). Suppose i - 10 = v. What are the prime factors of t(v)? 2, 17 Suppose -5*i + 2520 = -t, t + 0*t - 1008 = -2*i. What are the prime factors of i? 2, 3, 7 Let z(u) = 86*u**2 - 3*u + 2. What are the prime factors of z(1)? 5, 17 Let i(g) = g**3 + 12*g**2 + 14*g + 7. Let t be i(-9). Suppose -3*d + t = -4*n, 4*d + 13 = -4*n - 139. Let r = n + 75. List the prime factors of r. 41 Let q be (1 - 3) + (-2 - 1). Let p = 5 + q. Suppose 0 + 8 = 3*r - 4*f, -2*r + 4*f = p. What are the prime factors of r? 2 Suppose 3*c - 256 - 2000 = -4*n, 0 = 5*c. What are the prime factors of n? 2, 3, 47 Let v(q) = -3*q + 16. Let y be v(4). Suppose -2*r = 4, 2*b - r + y*r = 28. List the prime factors of b. 17 Let j = 19 + -15. Let f = 4 + j. Let s = f + 41. List the prime factors of s. 7 Suppose r = 5*i - r - 162, 0 = -i + 3*r + 35. List the prime factors of 120*((-9)/(-12))/(36/i). 2, 5 Suppose 1 = -2*p + 5. List the prime factors of p - -79 - (-4 - 0). 5, 17 Let s = 216 + 35. List the prime factors of s. 251 Suppose -29*l = -8*l - 53025. List the prime factors of l. 5, 101 Let f(y) = -2*y. Let p be f(1). List the prime factors of (-3 + -318)*p/6. 107 Suppose 19*y = 15*y + 12. Suppose -3*x + y*a + 498 = 0, -x - 3*a + 176 = -2*a. What are the prime factors of x? 3, 19 Suppose 32*b = 13189 + 40315. List the prime factors of b. 2, 11, 19 What are the prime factors of (-636)/(-5) - 10/50? 127 Suppose -c + 5 - 7 = 0. Let z(x) = -15*x + 2. List the prime factors of z(c). 2 Let x = -43 + 45. Suppose -4*g + 2*a + 68 = -x*a, 4*g - a = 59. List the prime factors of g. 2, 7 Let r be 117/(-12) + (-4)/((-32)/(-2)). List the prime factors of 5/((-100)/(-284)) - (-2)/r. 2, 7 Let t be (-44255)/(-212) - ((-6)/(-8) + 0). Suppose 3*k - 4*k + t = 0. List the prime factors of k. 2, 13 Let o = -62 + 45. Let m = o - -54. List the prime factors of m. 37 Let p = 7 - 5. Suppose -p*d = -49 - 71. What are the prime factors of d? 2, 3, 5 Suppose 12*c = 7*c - 925. Let i = -87 - c. List the prime factors of i. 2, 7 Let j = 735 - 428. List the prime factors of j. 307 Suppose c = w + 2*c - 3, -4*c + 12 = 5*w. Suppose -330*i = -329*i - 2. Suppose 5*y = i*r + y - 78, w = -r - 2*y + 23. List the prime factors of r. 31 Let m = 21 - 25. Let t(h) = -22*h - 19. Let j(y) = 7*y + 6. Let l(o) = 11*j(o) + 4*t(o). List the prime factors of l(m). 2, 17 Let y(v) be the third derivative of -v**6/120 + v**5/12 - v**4/8 + 2*v**3/3 + 8*v**2. What are the prime factors of y(3)? 13 Suppose 0 = j + 8 - 12. Suppose j*x - 380 = -x. What are the prime factors of x? 2, 19 Suppose 2*l + 80 = -4*j + 4*l, j = 2*l - 17. Let o = 31 + j. Suppose -o = -2*b - 0*b, 4*b + 25 = 5*v. What are the prime factors of v? 3 Suppose -1265 = -15*m + 4*m. Let v = m - 85. What are the prime factors of v? 2, 3, 5 Let w be 9 - (2 - (-3 + 2)). Suppose w*y = 4*y + 602. List the prime factors of y. 7, 43 Let y(w) = w**3 - 38*w**2 + 55*w - 89. List the prime factors of y(37). 577 Let x(k) = -2*k + 2. Let b be x(-3). Let u(i) = i**2 - 6*i - 5. Let w be u(b). Let z = -9 + w. List the prime factors of z. 2 Let p(i) = -i**3 - 3*i**2 - 4*i - 1. Let d be p(-2). Suppose -37 = d*g - 148. What are the prime factors of g? 37 Suppose -5*t = -3*p + 3606 - 19879, 0 = -t - 5*p + 3249. List the prime factors of t. 2, 1627 List the prime factors of 17/(-34) - 1994/(-4). 2, 3, 83 Let s be (3/6*0)/(-2). Suppose 0 = -2*n - 2*j + 6, 3*n + s*j - 5 = j. Suppose 0 = -3*l - n*l + 85. What are the prime factors of l? 17 Suppose -159 - 576 = -3*n. List the prime factors of n. 5, 7 List the prime factors of -1*(-1941)/15 + 76/(-190). 3, 43 Let m = 16 - 9. Let a(q) = 11*q + 6*q**2 - q + 0 - q**3 + 2 - 3. What are the prime factors of a(m)? 2, 5 Let n = -126 - -714. What are the prime factors of n? 2, 3, 7 Let l(k) = 2*k**2 + 14*k + 12. Let v be l(-6). Suppose 0 = 4*o - 3*z - 214 - 21, 3*o + 4*z - 145 = v. What are the prime factors of o? 5, 11 Let u(j) = -j**2 - 8*j - 9. Let g be u(-9). Let k be g/(-9*(-1)/6). Let f = 4 - k. What are the prime factors of f? 2 Let w be 19/3 - ((-55)/15 - -4). Suppose -w + 30 = 6*a. What are the prime factors of a? 2 What are the prime factors of 0/51 + -2 + 43*75? 11, 293 Suppose 3 = 3*x - 6. Let j(c) = 8*c**3 + 2*c**2 + 4*c - 8. List the prime factors of j(x). 2, 7, 17 Let p = -8 + 52. Suppose m = z + 12, 2*z + 8 = 4*m - p. List the prime factors of m. 2, 7 Let s(w) be the third derivative of 17*w**4/24 - 2*w**3/3 + 3*w**2 + 18. What are the prime factors of s(9)? 149 Let g(k) = 59*k**2 + 2. Let z be g(2). Let y = z + -154. What are the prime factors of y? 2, 3, 7 What are the prime factors of -3 + (-5766)/(-11) - 2/11? 521 Suppose -3*k - 3*y - 24 = 0, 0*k - 3*k = 2*y + 21. What are the prime factors of 108/30*k/(-2)? 3 What are the prime factors of (9 - (6 - 546)) + -9? 2, 3, 5 Let p be (273 - (2 - 3)) + 1. Suppose 0 = 3*c - p - 64. List the prime factors of c. 113 Let o(f) = f**2 - 15*f + 34. Let b be o(12). Suppose 4*h + 2*d = 78, -2*h - 42 = -4*h - 4*d. Let q = h + b. What are the prime factors of q? 17 Suppose 2057 = 2*t + 819. What are the prime factors of t? 619 Suppose 89*x = 88*x + 4. Suppose 339 = 5*w + 3*q, 0 = w + w - x*q - 146. List the prime factors of w. 3, 23 Suppose 5*k + 45 = 4*j, -4*j + k + 40 = -3*k. Suppose 292 = 3*r - w + 15, j*r + 2*w = 458. What are the prime factors of r? 2, 23 What are the prime factors of (-1126)/((-7)/(28/4))? 2, 563 Suppose 3*x + x + 22 = 2*u, -2*u - 18 = 4*x. Let l be 2/u - (-3)/(-1). Let f = l - -5. List the prime factors of f. 2 Let q(v) = v**3 - 8*v**2 - 4. Let c be q(8). Let g be ((-14)/c)/((-2)/(-28)). Suppose -4*r + 5*n = -g - 39, -3*r = 3*n - 93. What are the prime factors of r? 3 Let v = -2758 - -4612. List the prime factors of v. 2, 3, 103 Let u be -1*(-3)/(0 + 1). Suppose 0 = -2*h, -2*w = u*w + 5*h - 20. Suppose w*p + 23 = f - 0*f, -2*p = 3*f - 13. List the prime factors of f. 7 Suppose 0 = -5*p + 2*w + 35 + 291, -5*w = 2*p - 113. Let a(r) = -11*r + 5. Let t be a(4). Let z = t + p. What are the prime factors of z? 5 Let k(d) = -d**3 - 13*d**2 + 14*d + 28. Let x be k(-15). Suppose -3*s - s = -4*t + x, -2*s + 8 = 0. What are the prime factors of t? 71 Let o be (5 + -1 - (-672)/14) + -2. Let f(b) = -9*b**3 + b**2 - 2*b + 1. Let w be f(1). Let v = o + w. What are the prime factors of v? 41 Let g = 109 - 97. Suppose g*v + 1764 = 18*v. What are the prime factors of v? 2, 3, 7 Suppose 8*y - 6 = 11*y. Let z be (y - -9) + -15 + 11. Suppose -2*t - p + 136 = -0*p, p = z*t - 209. List the prime factors of t. 3, 23 Let p(f) = -2 + 2 + 6 + 50*f - 1. What are the prime factors of p(1)? 5, 11 Suppose 405 = 3*k - 405. List the prime factors of k. 2, 3, 5 Suppose 3*h - 23 = -2*h + 3*t, -4*h = -4*t - 20. Let y be -3 - (-6 + -1 + h). Suppose y*k - 3*k + 69 = 0. What are the prime factors of k? 23 Suppose 12 = -4*p + 5*w, -2*p - 2*w + 12 = -0*p. Suppose 3*f + 465 = p*k + 2*f, 0 = -4*k - 3*f + 905. What are the prime factors of k? 2, 5, 23 Let u be (-7062)/(-30) - (-4)/(-10). Suppose -2*b + 7*b - 141 = -3*l, 5*l - u = 2*b. What are the prime factors of l? 47 Let t = -208 + 377. Suppose -3*b + v + 168 = -2*v, 0 = 3*b - 2*v - t. List the prime factors of b. 3, 19 Let h(k) = 4*k**3 - k**2 + 2*k - 1. Let n be h(2). Let w(c) = -4*c + 41. Let x be w(7). Suppose n = s - x. What are the prime factors of s? 2, 11 Suppose 0*y - y = -42. Let d = y + 14. What are the prime factors of d? 2, 7 Suppose 4*x + 10 = 2*x + 2*r, 4*x + 4*r + 60 = 0. What are the prime factors of 2983/15 + x/(-75)? 199 Let l be 7/((-21)/(-2))*-90. Let j(p) = 2*p**3 + 5*p**2 - 2*p - 2. Let d be j(3). Let v = l + d. List the prime factors of v. 31 Let w = -8 - -13. Suppose 0 = b - w. Suppose 4*l - b = 51. List the prime factors of l. 2, 7 Let x(t) = -4*t - 3. Let w = -19 - -18. Let c(o) = o - 1. Let j(k) = w*x(k) - 2*c(k). List the prime factors of j(10). 5 Suppose 48 = -2*g - 2*g. Let r = 8 + g. What are the prime factors of r/14 - (-121)/7? 17
Calculate -108363210 divided by -5. 21672642 13273512 divided by 28 474054 Divide 41617509 by 13872503. 3 What is -6303 divided by -142955? 6303/142955 Calculate -67057857 divided by 3. -22352619 What is 89430 divided by -141? -29810/47 Divide 0 by 3071016. 0 183834510 divided by -10 -18383451 What is 19595208 divided by 163? 120216 Divide -78024357 by 2889791. -27 What is 3889890 divided by -90? -43221 What is -11462598 divided by -65877? 174 421926876 divided by -306 -1378846 Divide 229190308 by -1217. -188324 What is 186143724 divided by -673? -276588 Divide 1105679900 by 181259. 6100 Divide 496911250 by 636250. 781 What is 3358054 divided by 7? 479722 Calculate 2637492 divided by 12441. 212 What is -16185086 divided by -1? 16185086 What is -214272 divided by -216? 992 Divide -10016 by 44013. -10016/44013 Calculate -452 divided by 6856. -113/1714 What is 76480824 divided by 3? 25493608 What is 24324741 divided by -21? -1158321 Calculate 29454184 divided by -7363546. -4 What is 1427572 divided by -356893? -4 What is 17181206 divided by -2? -8590603 Calculate -21003930 divided by -110547. 190 Divide -139 by -3061671. 139/3061671 What is -45637284 divided by -2? 22818642 What is 21870236 divided by -2? -10935118 Divide 6666009 by -3. -2222003 Divide -1058 by 9228. -529/4614 Calculate -876720 divided by -22480. 39 What is -97345394 divided by 7? -97345394/7 Calculate -22431869 divided by -31. 22431869/31 What is -3 divided by 6804566? -3/6804566 -337766615 divided by -6095 55417 What is -690502 divided by -2? 345251 -114306500 divided by -8164750 14 Calculate -75626658 divided by 37813329. -2 Calculate 114449920 divided by -6656. -17195 -29823 divided by 108 -9941/36 Calculate 350118 divided by 1101. 318 What is -90444125 divided by -4? 90444125/4 5202 divided by 5998 2601/2999 -568034956 divided by 142008739 -4 Calculate 54457372 divided by -8. -13614343/2 -3 divided by -1208620 3/1208620 1460 divided by -74330 -146/7433 105 divided by 864473 105/864473 Divide -25151048 by -24466. 1028 What is -8857300 divided by 177146? -50 What is 4385 divided by 618? 4385/618 What is 3733764 divided by -10037? -372 1915976 divided by -58 -957988/29 Divide 15921 by 3. 5307 Calculate -19384 divided by 476. -4846/119 1248676 divided by 27 1248676/27 -2832378 divided by 3 -944126 Calculate -102217292 divided by 25554323. -4 -159360 divided by 1992 -80 What is -1 divided by -7827932? 1/7827932 Calculate -68978 divided by 758. -91 Calculate -3330 divided by -76158. 185/4231 2254465 divided by 1 2254465 What is -374332882 divided by 22? -17015131 5 divided by 6431848 5/6431848 Divide -16036488 by 4. -4009122 17 divided by 39210817 17/39210817 Calculate -5 divided by -2788016. 5/2788016 Calculate -157500584 divided by 227602. -692 311037644 divided by -82 -3793142 Calculate 118453494 divided by 128614. 921 Calculate -221042662 divided by -4. 110521331/2 What is -5 divided by 1603638? -5/1603638 What is -9133065 divided by -202957? 45 -110 divided by 469849 -110/469849 0 divided by -34671972 0 Calculate 845600 divided by 175. 4832 Calculate 1875 divided by 7718. 1875/7718 4976556 divided by 876 5681 164 divided by -58159 -164/58159 Divide 19974585 by 3994917. 5 Calculate -277676200 divided by 4. -69419050 11647573 divided by 7 1663939 1599 divided by -53869 -1599/53869 -14184185 divided by 39 -14184185/39 Divide -749478330 by 5. -149895666 What is 12 divided by 192103? 12/192103 What is 428868 divided by 2052? 209 Divide -172 by -1690526. 86/845263 Calculate 1012449 divided by 5. 1012449/5 Calculate 39880650 divided by -2. -19940325 Divide -59301680 by 40. -1482542 Divide -2 by -31710723. 2/31710723 -17812460 divided by -17812460 1 Divide 17 by 324210. 17/324210 -136 divided by 28071 -136/28071 What is -203525405 divided by 6? -203525405/6 What is -96 divided by 21? -32/7 Calculate -47952538 divided by -47952538. 1 Calculate 3467204 divided by 446. 7774 Calculate 250081216 divided by -2841832. -88 What is -510974780 divided by -1787? 285940 -45030498 divided by -3 15010166 -213 divided by -477158 213/477158 5 divided by -2678302 -5/2678302 What is -6987442 divided by 635222? -11 Divide 16906395 by 4. 16906395/4 -47928471 divided by -3 15976157 Calculate 6811646 divided by -8. -3405823/4 Divide 11781690 by 1963615. 6 -33 divided by 1985185 -33/1985185 0 divided by -18831928 0 Divide -1093864813 by -6. 1093864813/6 Calculate -1777910 divided by 22. -888955/11 Divide 33 by 208122. 11/69374 Divide 323 by 146282. 323/146282 Divide 4668550 by -25. -186742 -320840 divided by -59 320840/59 What is 1353125000 divided by 5? 270625000 Calculate 6250 divided by 2666. 3125/1333 Divide -228806 by -553. 228806/553 What is 11 divided by -3114794? -11/3114794 What is 5273996 divided by 101423? 52 Calculate 4376120 divided by 6. 2188060/3 What is -11446685 divided by -985? 11621 Divide 24507392 by -13312. -1841 -40650278 divided by 1 -40650278 What is -111079 divided by -241? 111079/241 Calculate 646 divided by -1079. -646/1079 -125111964 divided by 6 -20851994 Calculate 162856 divided by -47. -162856/47 Divide 6 by -46303291. -6/46303291 Calculate 3 divided by 2037709. 3/2037709 Divide 659 by 239307. 659/239307 Divide -3 by -4862901. 1/1620967 16679285 divided by 5 3335857 Divide 1112204 by -4. -278051 0 divided by -3486084 0 -1048333680 divided by 262083420 -4 Calculate -594519 divided by -1. 594519 Divide 1168459 by 523. 1168459/523 Divide 852333 by 11. 852333/11 Divide 1566972 by -15828. -99 Calculate 121432176 divided by -2896. -41931 What is -29615 divided by -1603? 29615/1603 5 divided by -393449 -5/393449 -9516032 divided by 297376 -32 Calculate -8 divided by 7996065. -8/7996065 What is 1317 divided by 2427? 439/809 Divide -454160000 by 81100. -5600 What is -5197609 divided by 42? -5197609/42 Calculate 282524387 divided by 23. 12283669 What is -7773997 divided by 49? -158653 What is 4360536 divided by 1090134? 4 Divide 4 by -42399172. -1/10599793 -5056044 divided by -5 5056044/5 Calculate -117 divided by -45564. 39/15188 Calculate -420688 divided by 144. -26293/9 Divide -182743132 by -52. 3514291 What is -3 divided by -97313244? 1/32437748 Calculate 100954 divided by 95. 100954/95 Calculate 6559383 divided by 26133. 251 -10686367 divided by 5483 -1949 Calculate -411869579 divided by -11. 37442689 Divide 14518 by 34. 427 Divide -176512 by 44128. -4 What is -80999911 divided by -515923? 157 Divide 68882871 by -53439. -1289 What is 165 divided by 92961? 5/2817 506975163 divided by -3 -168991721 What is 289331711 divided by 9553? 30287 Calculate 6787380 divided by -452492. -15 -349223 divided by 1266 -349223/1266 -5226214 divided by 2613107 -2 -417491 divided by -582 417491/582 Divide -40224762 by -142641. 282 What is -171 divided by -279695? 171/279695 Calculate 124415 divided by 117. 124415/117 524070608 divided by -131017652 -4 4675164 divided by 1303 3588 Divide 206637 by 40. 206637/40 Calculate 57290625 divided by -105. -545625 Divide 482282982 by 271. 1779642 What is 18978 divided by -426? -3163/71 What is 12733316 divided by 3183329? 4 Divide 52122 by 118. 26061/59 What is -14908 divided by 7454? -2 What is -49521522 divided by 82? -603921 What is -9 divided by 14574997? -9/14574997 What is 268894239 divided by -3? -89631413 What is 494776 divided by 2689? 184 What is 1213959072 divided by -4? -303489768 What is 10 divided by -51144283? -10/51144283 Divide 158 by 2078. 79/1039 Divide -11 by -1302326. 11/1302326 -173570436 divided by -142038 1222 Calculate 366269867 divided by -1. -366269867 Calculate -5 divided by 109574712. -5/109574712 -66363 divided by -2278 66363/2278 Divide 5 by 80648668. 5/80648668 Divide 6567498 by -2. -3283749 1 divided by 4927405 1/4927405 Calculate 1396 divided by -1363. -1396/1363 What is -194602560 divided by 1786? -108960 21120987 divided by -867 -24361 Divide 46465926 by -2. -23232963 3 divided by 49907175 1/16635725 916330856 divided by -711437 -1288 What is 5 divided by -287371233? -5/287371233 Divide 7 by 138120. 7/138120 What is 45406465 divided by 74315? 611 What is 4 divided by 865224? 1/216306 What is -134527 divided by 3050? -134527/3050 Divide -91133261 by 1051. -86711 Divide -1153832 by -19. 60728 What is 8943445 divided by -255527? -35 Calculate 9172 divided by 231. 9172/231 Calculate 152838225 divided by -50946075. -3 Calculate 1492330241 divided by -7187. -207643 Calculate 14570420382 divided by -6. -2428403397 -572 divided by 11736 -143/2934 What is -490979976 divided by -1706? 287796 2 divided by 84127473 2/84127473 -2107550 divided by 1382 -1525 Calculate 135522809 divided by 135522809. 1 What is -17954 divided by 3201? -17954/3201 Divide 15315525 by -9. -1701725 What is 7384 divided by -886? -3692/443
What is 115 times 2.6? 299 -9 * -0.1749 1.5741 Multiply 16 and 51. 816 Work out 0.0333 * 1.75. 0.058275 32 * 0.06298 2.01536 Work out -34.98 * -0.12. 4.1976 Multiply 0.3 and -56174. -16852.2 Calculate -5.6*-0.0462. 0.25872 -6 times -2679 16074 Work out 0.5 * -156.94. -78.47 6.58 * -4 -26.32 -1 * -19 19 Work out -164 * -10995. 1803180 What is 11851 times -0.03? -355.53 Calculate 1425*-0.2. -285 Product of -16 and -1382.1. 22113.6 Product of -786.92 and 0.3. -236.076 53.7 * -743 -39899.1 Product of -12.21642 and -5. 61.0821 Product of 220424 and -4. -881696 Product of -44.3767 and 1. -44.3767 Calculate 41*-5615. -230215 Product of 0.2 and -0.170123. -0.0340246 What is the product of -0.5071 and 16? -8.1136 What is the product of -22638 and 0.3? -6791.4 Calculate 0.071805*-3. -0.215415 What is -1708 times -0.18? 307.44 Multiply 282 and -55.3. -15594.6 -22548*0.4 -9019.2 Work out 0.5827 * 0.32. 0.186464 Calculate -2*-0.05575. 0.1115 Multiply 0.08 and 20892. 1671.36 What is the product of 9883 and -1.7? -16801.1 Multiply -190514 and 2. -381028 Calculate 0.9*-40581. -36522.9 What is the product of -123922.3 and -0.5? 61961.15 -12713.32 * 0.4 -5085.328 What is the product of 93626 and 1? 93626 2*-2.20636 -4.41272 What is 0.154 times -1683? -259.182 Multiply -26 and 36013. -936338 What is the product of -134088 and 0.12? -16090.56 0.07 * -5200 -364 Calculate -0.052087*-0.05. 0.00260435 What is -56 times -0.06377? 3.57112 Product of 3 and 6195. 18585 -2 times -8648 17296 1.6 * 1009 1614.4 -2279 times 0.1 -227.9 Product of 4 and -0.0551. -0.2204 Multiply 242.73 and -9. -2184.57 What is -4185.08 times 0.2? -837.016 Work out -1600 * 17. -27200 Multiply 451333 and 0.3. 135399.9 -109088*9 -981792 -901704*5 -4508520 3.749 times -3 -11.247 What is the product of -0.1 and 388.3? -38.83 14*209926 2938964 -2932 times -1.904 5582.528 0.4*1.14281 0.457124 -151 times 20338 -3071038 What is the product of -3840 and 8.2? -31488 -0.21 times 2.3 -0.483 Multiply -12 and -0.0108489. 0.1301868 Calculate 121*0.0574. 6.9454 What is the product of -77 and -35.9? 2764.3 Calculate -9*-86.529. 778.761 Product of -0.013 and 0.2597. -0.0033761 -0.5547*-247 137.0109 What is the product of -34771 and 1? -34771 Multiply -9.05 and 979. -8859.95 0.0128 * 0.35 0.00448 11*0.0178859 0.1967449 -765715 times 0.4 -306286 What is 0 times 227149? 0 -1 * -1386 1386 -876*-0.6 525.6 Multiply -4 and -966782. 3867128 -25034 times 5 -125170 What is -154 times 32? -4928 -2 * 1004.1 -2008.2 Product of -0.417538 and 4. -1.670152 Multiply -597 and 25. -14925 What is -5 times -133.89? 669.45 What is 0.6 times -10889? -6533.4 Multiply 243 and 166. 40338 Product of 82 and -115. -9430 Multiply 537919 and 1. 537919 What is the product of 1.37 and -3046? -4173.02 What is -193283 times 2? -386566 Calculate 12.9788*-3. -38.9364 Work out -395439 * 0. 0 -0.1 * -66892 6689.2 Work out -20624 * 1.13. -23305.12 Calculate -4*-6612.6. 26450.4 Work out -0.92 * 491. -451.72 Product of 0.0902 and -7.98. -0.719796 -1524314 * 0.1 -152431.4 0*273.654 0 What is the product of 460 and 3.23? 1485.8 What is the product of 0.3 and -92870? -27861 Calculate 0.1613064*-0.5. -0.0806532 11.59*-9.4 -108.946 Calculate -0.1*-237.99. 23.799 Calculate -77*-12357. 951489 What is the product of -0.14 and 33.75? -4.725 What is 25.1198 times 2? 50.2396 1.25 times -15.7 -19.625 Work out -13 * 28.59. -371.67 5*87.563 437.815 Multiply -7729 and 0.24. -1854.96 -21252*-13 276276 -0.2 * -10635.3 2127.06 Calculate -0.07*13262. -928.34 What is the product of -0.5 and 152385? -76192.5 What is -1481 times -19? 28139 Product of 0 and -49396. 0 -1.02 * -8547 8717.94 168.85 * -0.9 -151.965 Multiply -209.75 and -8. 1678 Work out -3 * 19.622. -58.866 1159 times 90 104310 Multiply 0.4 and 39810. 15924 Work out 5 * -84531. -422655 What is 0.12 times -171.9? -20.628 -7 times -31486 220402 Product of 2.7 and -0.11. -0.297 Product of 66822 and 0.07. 4677.54 Work out 0.02703 * 3. 0.08109 Product of -0.3 and -6155. 1846.5 -13*30535 -396955 0.2 * 5360 1072 What is 0 times 646? 0 Product of -0.1 and 219446. -21944.6 Product of -759981 and -10. 7599810 Multiply -136 and 0.279. -37.944 What is 52 times -163.94? -8524.88 What is the product of -3289870 and -0.3? 986961 30.2 times -0.02922 -0.882444 5143 times 7 36001 Product of 1 and 7244. 7244 -376677 * 0.2 -75335.4 What is -0.4 times 2.2256? -0.89024 Multiply -54.69 and -0.05. 2.7345 -0.12*29463 -3535.56 What is -0.73 times 0.03392? -0.0247616 What is 5 times 345592? 1727960 Work out 0.056952 * 3. 0.170856 Product of 0.5 and 477.7. 238.85 What is the product of 0.0505955 and 0.2? 0.0101191 29 * 6869 199201 What is the product of 0.5 and 471? 235.5 0.01 times -8748 -87.48 Work out -309.12 * 4. -1236.48 Multiply 4.83 and 0.053. 0.25599 What is 20.76 times 1052? 21839.52 3*7.447 22.341 437016 times 5 2185080 Product of 0.027418 and -0.4. -0.0109672 Multiply 118.01 and 1. 118.01 What is the product of 3.97491 and 0.3? 1.192473 -5*-0.6162 3.081 Product of -0.3 and -0.05975. 0.017925 -3.4*690 -2346 Calculate 5.8*-388. -2250.4 -170400*-0.1 17040 What is 0.0408 times -917? -37.4136 Calculate 103342*0.3. 31002.6 -1.3 times -27496.1 35744.93 Multiply 15113.6 and 1. 15113.6 Multiply 0.022 and -0.02819. -0.00062018 Multiply -4524.32 and 4. -18097.28 Multiply -0.5 and 86.92. -43.46 Multiply -2.84 and 3.6. -10.224 Multiply -0.012 and -490. 5.88 Multiply -13.791 and 0.5. -6.8955 Product of -0.14 and 31423. -4399.22 Multiply 0.08 and -111481. -8918.48 Product of -528 and -0.1027. 54.2256 What is the product of 29 and 30? 870 Work out 0.38 * -15893. -6039.34 Work out 6.257 * -8. -50.056 What is the product of 0.030321 and 0.4? 0.0121284 Work out -1.2 * 26.7. -32.04 53968 times 4 215872 Multiply 4 and -53565. -214260 What is the product of 39.47 and 13? 513.11 -0.2*-290697 58139.4 Work out 317.07 * -0.2. -63.414 -0.2 times 41851 -8370.2 244 times 0.62 151.28 What is -30 times -1089? 32670 Multiply -1 and 1.6. -1.6 Calculate -145498*-0.1. 14549.8 Multiply -114664 and 0. 0 Calculate -2*-14587. 29174 Product of 1.21 and 973. 1177.33 17577.5 * -0.03 -527.325 Product of -0.3 and -7.0002. 2.10006 10669 times 3 32007 Multiply 0.02657 and 3. 0.07971 670.4 times -7.7 -5162.08 Multiply 0.0216 and -1.41. -0.030456 Multiply -1.0795 and 0.4. -0.4318 What is 17 times 519.9? 8838.3 What is 2.3 times 6346? 14595.8 What is 230 times 5805? 1335150 0.12*-18512 -2221.44 14*-2.2367 -31.3138 Multiply 20 and -26.361. -527.22 Work out 130 * -115. -14950 What is the product of -6 and -241643? 1449858 -2 times 176.2 -352.4 -0.5 * 78.777 -39.3885 Calculate 82*11.33. 929.06 -11.1*-3 33.3 0.2 * 52.6 10.52 -5006*-1.69 8460.14 What is 584139 times 0.5? 292069.5 0.2 * -453154 -90630.8 What is the product of -4582 and 2? -9164 Calculate -11.5*-0.201. 2.3115 -5 * -40.482 202.41 37*0.071 2.627 Multiply -695610 and -1. 695610 1909 * 10 19090 0*168433 0 2 * 12524 25048 0*-18952 0 -0.88 * 4071 -3582.48 -98 times 26 -2548 What is the product of 1 and -2.3462? -2.3462 -26*-50.721 1318.746 What is -6 times -4894? 29364 What is the product of 0.3 and 456.36? 136.908 Product of 0.147 and -121. -17.787 4.36 * 330 1438.8 Multiply 2.4 and -0.25. -0.6 Calculate -195488*-2. 390976 Multiply -4 and -159. 636 What is 9380 times -2? -18760 What is 11 times 0.27919? 3.07109 What is 3 times 45684? 137052 What is -0.014 times 0.4058? -0.0056812 Product of 5.9 and -7.589. -44.7751 Multiply -11 and 105. -1155 Multiply 1741 and 0.24. 417.84 What is 3 times -9557? -28671 What is -9131 times -180? 1643580 Product of -6.4157 and -0.5. 3.20785 What is -0.06 times 2.58929? -0.1553574 Multiply -0.05 and -5.267. 0.26335 Work out 172 * -9.4. -1616.8 What is -94 times -7224? 679056 -0.133239 times 5 -0.666195 Product of 1.34 and -44.26. -59.3084 What is 1541 times -35? -53935 Product of -20.742 and 3. -62.226 46787 * 0.5 23393.5 Work out -0.1 * 699.19. -69.919 What is the product of 289.44 and -0.06? -17.3664 What is 0.047 times 3243? 152.421 Multiply 36.38 and -282. -10259.16 What is -5.2 times -75.24? 391.248 What is 1 times -3.52? -3.52 Multiply 1 and -2742.3. -2742.3 Work out 64 * -1934. -123776 Product of 21 and 0.1815. 3.8115 Work out 2.1 * -0.04751. -0.099771 What is the product of 24714 and 0.05? 1235.7 What is the product of 9 and 76490? 688410 -1.52 times -3.98 6.0496 -0.81 * -6.1 4.941 What is the product of -4151 and -0.01? 41.51 Work out 0.7 * -7369. -5158.3 Calculate -39201.6*0.1. -3920.16 Product of -25 and 59.99. -1499.75 Multiply 8.5 and 27406. 232951 33 * 454 14982 Calculate 3.24*-19.58. -63.4392 Multiply 4 and 194.13. 776.52 Work out -0.049493 * -0.5. 0.0247465 -3 * -228668 686004 Product of 0.042 and -3898. -163.716 Work out -29 * 0.0532. -1.5428 Calculate 4*0.812. 3.248 Product of -4 and -507383. 2029532 Product of -0.2147 and 0.6. -0.12882
What are the prime factors of 31628? 2, 7907 List the prime factors of 22399. 13, 1723 What are the prime factors of 1125? 3, 5 List the prime factors of 2728. 2, 11, 31 What are the prime factors of 47818? 2, 23909 List the prime factors of 614. 2, 307 What are the prime factors of 9296? 2, 7, 83 List the prime factors of 9748. 2, 2437 List the prime factors of 10979. 10979 What are the prime factors of 3853? 3853 List the prime factors of 2101. 11, 191 List the prime factors of 3504. 2, 3, 73 List the prime factors of 8470. 2, 5, 7, 11 List the prime factors of 160. 2, 5 List the prime factors of 1553. 1553 List the prime factors of 66882. 2, 3, 71, 157 What are the prime factors of 1996? 2, 499 What are the prime factors of 16076? 2, 4019 List the prime factors of 9307. 41, 227 List the prime factors of 1632. 2, 3, 17 What are the prime factors of 8627? 8627 What are the prime factors of 56306? 2, 47, 599 List the prime factors of 4231. 4231 What are the prime factors of 868? 2, 7, 31 List the prime factors of 2502. 2, 3, 139 List the prime factors of 18110. 2, 5, 1811 What are the prime factors of 1582? 2, 7, 113 List the prime factors of 38532. 2, 3, 13, 19 List the prime factors of 106829. 317, 337 What are the prime factors of 12301? 12301 What are the prime factors of 9583? 7, 37 What are the prime factors of 3687? 3, 1229 What are the prime factors of 1101? 3, 367 What are the prime factors of 8768? 2, 137 What are the prime factors of 1550? 2, 5, 31 What are the prime factors of 2368? 2, 37 What are the prime factors of 1365? 3, 5, 7, 13 List the prime factors of 45411. 3, 15137 What are the prime factors of 971? 971 What are the prime factors of 16414? 2, 29, 283 What are the prime factors of 7936? 2, 31 What are the prime factors of 3272? 2, 409 List the prime factors of 86. 2, 43 What are the prime factors of 19367? 107, 181 List the prime factors of 2062. 2, 1031 List the prime factors of 379. 379 What are the prime factors of 4498? 2, 13, 173 What are the prime factors of 25633? 25633 What are the prime factors of 3310? 2, 5, 331 List the prime factors of 9565. 5, 1913 What are the prime factors of 2581? 29, 89 List the prime factors of 31043. 37, 839 List the prime factors of 31154. 2, 37, 421 List the prime factors of 13623. 3, 19, 239 What are the prime factors of 182500? 2, 5, 73 List the prime factors of 41104. 2, 7, 367 List the prime factors of 65959. 71, 929 What are the prime factors of 91890? 2, 3, 5, 1021 List the prime factors of 82. 2, 41 List the prime factors of 93. 3, 31 What are the prime factors of 11109? 3, 7, 23 List the prime factors of 72750. 2, 3, 5, 97 List the prime factors of 20253. 3, 43, 157 What are the prime factors of 41919? 3, 89, 157 List the prime factors of 3365. 5, 673 What are the prime factors of 211? 211 List the prime factors of 83. 83 What are the prime factors of 3229? 3229 What are the prime factors of 7448? 2, 7, 19 What are the prime factors of 34540? 2, 5, 11, 157 What are the prime factors of 87891? 3, 29297 What are the prime factors of 2101? 11, 191 What are the prime factors of 2850? 2, 3, 5, 19 List the prime factors of 1679. 23, 73 What are the prime factors of 68219? 68219 List the prime factors of 983. 983 List the prime factors of 212. 2, 53 What are the prime factors of 1672? 2, 11, 19 What are the prime factors of 17769? 3, 5923 What are the prime factors of 762? 2, 3, 127 List the prime factors of 2564. 2, 641 What are the prime factors of 98459? 98459 List the prime factors of 1097. 1097 List the prime factors of 4848. 2, 3, 101 List the prime factors of 85318. 2, 29, 1471 What are the prime factors of 52232? 2, 6529 What are the prime factors of 3943? 3943 What are the prime factors of 37256? 2, 4657 List the prime factors of 1117. 1117 List the prime factors of 17708. 2, 19, 233 What are the prime factors of 893? 19, 47 List the prime factors of 1158. 2, 3, 193 List the prime factors of 12553. 12553 List the prime factors of 14518. 2, 7, 17, 61 List the prime factors of 3588. 2, 3, 13, 23 List the prime factors of 1722. 2, 3, 7, 41 List the prime factors of 1996. 2, 499 List the prime factors of 780. 2, 3, 5, 13 What are the prime factors of 120699? 3, 13411 List the prime factors of 4601. 43, 107 List the prime factors of 1470. 2, 3, 5, 7 What are the prime factors of 1389? 3, 463 List the prime factors of 7897. 53, 149 What are the prime factors of 19407? 3, 6469 What are the prime factors of 84277? 71, 1187 List the prime factors of 6382. 2, 3191 What are the prime factors of 498? 2, 3, 83 What are the prime factors of 49677? 3, 29, 571 List the prime factors of 2404. 2, 601 List the prime factors of 416. 2, 13 What are the prime factors of 118294? 2, 11, 19, 283 List the prime factors of 62049. 3, 13, 37, 43 What are the prime factors of 3575? 5, 11, 13 List the prime factors of 9672. 2, 3, 13, 31 What are the prime factors of 33889? 33889 What are the prime factors of 11902? 2, 11, 541 List the prime factors of 1269. 3, 47 List the prime factors of 501. 3, 167 List the prime factors of 11928. 2, 3, 7, 71 What are the prime factors of 654? 2, 3, 109 What are the prime factors of 6371? 23, 277 What are the prime factors of 1945? 5, 389 What are the prime factors of 46313? 29, 1597 What are the prime factors of 79716? 2, 3, 7, 13, 73 List the prime factors of 4086. 2, 3, 227 What are the prime factors of 8232? 2, 3, 7 List the prime factors of 5405. 5, 23, 47 What are the prime factors of 28904? 2, 3613 What are the prime factors of 3282? 2, 3, 547 List the prime factors of 51856. 2, 7, 463 What are the prime factors of 1702? 2, 23, 37 What are the prime factors of 7472? 2, 467 What are the prime factors of 358? 2, 179 List the prime factors of 2603. 19, 137 List the prime factors of 3522. 2, 3, 587 What are the prime factors of 2588? 2, 647 What are the prime factors of 2870? 2, 5, 7, 41 What are the prime factors of 3774? 2, 3, 17, 37 List the prime factors of 13879. 13879 What are the prime factors of 10547? 53, 199 List the prime factors of 2605. 5, 521 What are the prime factors of 154048? 2, 29, 83 What are the prime factors of 1033? 1033 List the prime factors of 8849. 8849 What are the prime factors of 6141? 3, 23, 89 List the prime factors of 1278. 2, 3, 71 List the prime factors of 852. 2, 3, 71 List the prime factors of 95067. 3, 7, 503 What are the prime factors of 23555? 5, 7, 673 List the prime factors of 1129. 1129 List the prime factors of 4560. 2, 3, 5, 19 List the prime factors of 77031. 3, 317 List the prime factors of 77685. 3, 5, 5179 What are the prime factors of 180? 2, 3, 5 What are the prime factors of 34028? 2, 47, 181 List the prime factors of 2352. 2, 3, 7 What are the prime factors of 597? 3, 199 What are the prime factors of 54556? 2, 23, 593 What are the prime factors of 944? 2, 59 List the prime factors of 4860. 2, 3, 5 List the prime factors of 9749. 9749 What are the prime factors of 1900? 2, 5, 19 What are the prime factors of 117032? 2, 14629 List the prime factors of 66278. 2, 31, 1069 List the prime factors of 52782. 2, 3, 19, 463 What are the prime factors of 427? 7, 61 What are the prime factors of 50996? 2, 11, 19, 61 What are the prime factors of 1034? 2, 11, 47 What are the prime factors of 30030? 2, 3, 5, 7, 11, 13 What are the prime factors of 1345? 5, 269 What are the prime factors of 5711? 5711 List the prime factors of 78. 2, 3, 13 What are the prime factors of 2870? 2, 5, 7, 41 What are the prime factors of 2346? 2, 3, 17, 23 What are the prime factors of 5658? 2, 3, 23, 41 What are the prime factors of 13225? 5, 23 List the prime factors of 2085. 3, 5, 139 List the prime factors of 29097. 3, 53, 61 List the prime factors of 1896. 2, 3, 79 What are the prime factors of 167? 167 List the prime factors of 2848. 2, 89 What are the prime factors of 591? 3, 197 List the prime factors of 24. 2, 3 What are the prime factors of 102541? 41, 61 List the prime factors of 15182. 2, 7591 List the prime factors of 8607. 3, 19, 151 What are the prime factors of 1122? 2, 3, 11, 17 What are the prime factors of 855? 3, 5, 19 What are the prime factors of 27798? 2, 3, 41, 113 What are the prime factors of 3458? 2, 7, 13, 19 What are the prime factors of 1587? 3, 23 List the prime factors of 2484. 2, 3, 23 What are the prime factors of 1952? 2, 61 List the prime factors of 2934. 2, 3, 163 What are the prime factors of 1365? 3, 5, 7, 13 What are the prime factors of 2933? 7, 419 What are the prime factors of 2220? 2, 3, 5, 37 What are the prime factors of 977? 977 List the prime factors of 89037. 3, 13, 761 What are the prime factors of 21282? 2, 3, 3547
Let v be (3 - (3 - 18)/(-15))*(-2)/(-32). Find t, given that 11/2 - 5/2*t - v*t**2 = 0. -22, 2 Let g(o) = -5*o**3 - o**2 - 14*o - 13. Let a be g(-1). Let l(r) be the first derivative of 0*r - 1/9*r**3 + 0*r**2 - 1/15*r**a + 1/6*r**4 + 2. Factor l(j). -j**2*(j - 1)**2/3 Let s = 827 - 812. Let l be ((-16)/s)/((-30)/(-75)) - -4. Factor -l*z + 1/3*z**4 + 0 + 1/3*z**3 - 4/3*z**2. z*(z - 2)*(z + 1)*(z + 2)/3 Let h = 307846214 - 2346711684980/7623. Let f = h + 2/1089. Suppose -10/7*b + 4/7*b**2 + 10/7*b**3 - f = 0. What is b? -1, -2/5, 1 Let i(b) be the first derivative of 3*b**4/8 - 35*b**3/2 - 213*b**2/2 + 1596*b - 239. Factor i(g). 3*(g - 38)*(g - 4)*(g + 7)/2 Suppose 1195*d - 1181*d + 616 = 0. Let y be 1 + 5 - 0 - d/(-11). Let -y*i**2 + 5/2 - 19/2*i = 0. What is i? -5, 1/4 Let j be (-351)/5 + (-8)/(-40). Let a be ((-30)/j)/(18/84). What is i in 0 + 27/5*i**a - 6/5*i = 0? 0, 2/9 Let k(y) be the first derivative of 0*y + 228 - 2/3*y**2 - 10/3*y**3 - 13/6*y**4. Factor k(r). -2*r*(r + 1)*(13*r + 2)/3 Let x be (3 - -2)/((25/10)/(-5)). Let r be x/(-4) - 2/4. Suppose -3 + 37*n + 25*n**r - 7 + 22*n - 14*n = 0. What is n? -2, 1/5 Let q = 1435082794/1226267 - 6/175181. Factor -1536/7*r**2 + 0 + q*r + 96/7*r**3 - 2/7*r**4. -2*r*(r - 16)**3/7 Suppose -3*s + 4*h = 36, -705*s + 7*h = -704*s + 63. Factor -6/7*u**3 + s - 10/7*u + 32/7*u**2. -2*u*(u - 5)*(3*u - 1)/7 Let d = 3418/45 - 6701/90. Factor -d*g**4 + 7/2*g**3 - 1/2 + 9/4*g - 4*g**2 + 1/4*g**5. (g - 2)*(g - 1)**4/4 Let h(n) = n**2 + 26*n + 27. Let f be h(-25). Let 0 + 0 + 0*u**2 + 6*u**f - u**2 + 325*u = 0. What is u? -65, 0 Suppose -258*j + 252*j = -4152. Let v = j + -692. Solve -4/7*f**2 + 0*f + 0*f**4 + v - 6/7*f**3 + 2/7*f**5 = 0 for f. -1, 0, 2 Let o(l) be the third derivative of -14/3*l**3 + 6*l**2 - 1/60*l**6 - 23/12*l**4 + 0*l - 1/3*l**5 + 2. Factor o(c). -2*(c + 1)*(c + 2)*(c + 7) Suppose 0 = r - 3*i + 4, 57*r - 55*r - 12 = -4*i. Suppose -2 - 12 = -u + 3*g, r*u + 3*g = -8. Factor -6 + 15/2*t - 3/2*t**u. -3*(t - 4)*(t - 1)/2 Let t(l) be the first derivative of -23 - 1/15*l**5 - 8*l**2 + 0*l**3 - 1/6*l**4 + 0*l. Let s(d) be the second derivative of t(d). Find g, given that s(g) = 0. -1, 0 Factor -2268*n + 20*n**2 - 8*n**3 + 2272*n - 3 - 21. -4*(n - 2)*(n + 1)*(2*n - 3) Let u be 32383/(-4277) - (1/((-3)/(-12)) - 12). Factor 6*w + u*w**4 + 87/7*w**2 + 0 + 48/7*w**3. 3*w*(w + 1)**2*(w + 14)/7 Find z such that -5/3*z**3 + 8 - 17/3*z**2 - 2/3*z = 0. -12/5, -2, 1 Suppose -3*n = -4*k - 72, 9*n = 4*n - 20. Let z be 3*(-12)/21*k/18. Factor -3/2*l**4 - 3/2 + 0*l**3 + 0*l + 3*l**z. -3*(l - 1)**2*(l + 1)**2/2 Let t be 15*-2 + -7 + 2 - -5. Let h be ((-1)/(-5)*(29 + t))/(-1). Suppose 0*z + 2*z**5 + 3/5*z**4 + 0 - 6/5*z**3 + h*z**2 = 0. Calculate z. -1, 0, 1/5, 1/2 Factor -1/4*q**2 + 18 + 3/2*q. -(q - 12)*(q + 6)/4 Let u(v) be the second derivative of 22/21*v**3 - 40/7*v**2 - 1/42*v**4 - 3 - 5*v. Factor u(y). -2*(y - 20)*(y - 2)/7 Let d be (19 - 6)/(-13) + 5. Let r be ((-27)/(-10))/3*35/21. Factor 3/2*t**2 - 3*t**3 + 3*t + 0 - r*t**d. -3*t*(t - 1)*(t + 1)*(t + 2)/2 Let n = 367950 + -367946. Find k, given that -1/4*k**3 + 0*k**2 - n*k**5 + 2*k**4 + 0*k + 0 = 0. 0, 1/4 Suppose -250*k + 126*k = -118*k - 1285*k. What is o in k + 4/5*o + 4/5*o**2 + 1/5*o**3 = 0? -2, 0 Suppose 2*j - 45 = -3*j - n, -3*j + 2*n + 40 = 0. Let w = j - 8. Factor -14/11*o + 6/11 + 8/11*o**w. 2*(o - 1)*(4*o - 3)/11 Suppose o - 4*k - 9 = 0, 0*o - 4*o + 15 = 5*k. Solve 3*p**o + 105*p**2 - 15*p**3 - 6*p**5 - 111*p**2 - 12*p**4 = 0 for p. -2, -1, 0 Let x = 4607/8847 - 75/983. Let l be -2 - 2/(-1) - -3. Factor -2/9*q**l + 0 - 2/9*q - x*q**2. -2*q*(q + 1)**2/9 Let l = -289 + 290. Determine j, given that 137*j - 3*j**2 - 131*j - l - 2*j**2 = 0. 1/5, 1 Let z be (2/(-6))/((-82110)/28980). Factor 1176/17*c + z*c**3 - 84/17*c**2 - 5488/17. 2*(c - 14)**3/17 Let z(o) = 3887*o**2 - 44*o + 43. Let h be z(1). Suppose 0 = -3883*d + h*d - 6. Find s such that -s**d - 2/3*s**3 + 2 + 5/3*s = 0. -2, -1, 3/2 Let p(s) be the third derivative of -s**8/1008 + 2*s**7/315 - s**6/120 - 183*s**2. Factor p(j). -j**3*(j - 3)*(j - 1)/3 Let m(q) be the first derivative of 208 + 10*q**2 - 2/3*q**3 - 32*q. What is s in m(s) = 0? 2, 8 Let x = 5/1792 - -19/16128. Let s(p) be the second derivative of 1/24*p**5 - 1/45*p**6 + 0*p**2 - p + 0 - 1/36*p**4 + 0*p**3 + x*p**7. Factor s(q). q**2*(q - 2)*(q - 1)**2/6 Let u be (-54)/(-10) + 8 + (-378)/45. Factor 4*n**u - 2*n**2 - 44*n**3 - 28*n**4 + 152*n + 46*n**2 + 32*n**2 + 64. 4*(n - 8)*(n - 2)*(n + 1)**3 Determine i, given that -1020*i**3 + 436*i + 1005*i**2 + 162*i + 685567*i**4 - 685562*i**4 + 1432*i = 0. -1, 0, 2, 203 Let y be -12 - (18 + -39) - 6. Suppose -4/5*b**y - 6/5 + 4/5*b - 2/5*b**4 + 8/5*b**2 = 0. Calculate b. -3, -1, 1 Let v(z) = z**2 + 36*z + 106. Let r be v(-33). Factor -9*m + 18*m**2 + 4*m + r*m**2. 5*m*(5*m - 1) Let n = -690 + 687. Let k be n - ((-175)/28 + (-3)/4). Let -18/5*o**2 - 26/5*o**3 - 9/5*o**k + 27/5*o + 27/5 - 1/5*o**5 = 0. Calculate o. -3, -1, 1 Let d(b) = -9*b**2 - 220*b - 651. Let y be d(-21). Factor 1/3*f**4 + 0*f**2 + 0 + 3*f**3 + y*f. f**3*(f + 9)/3 Let v be (-9 + (-1 - (17 + -27)))/1. Let o be 2/4*(-16)/(-14). Find m, given that v - 8/7*m - o*m**2 = 0. -2, 0 Let l(p) = -3*p**2 + p**2 + p - p**3 - 4*p**3 + 3*p**2. Let k be l(-1). Solve -a**4 + 0*a**4 + 21*a - 24*a**2 - 20*a**3 - k*a + 32 - 3*a**4 = 0. -2, 1 Factor 2/7*v**2 - 96/7*v + 0. 2*v*(v - 48)/7 Let k(r) = r**2 + r - 1. Let b = -9 - -24. Suppose -g - b = 3. Let x(n) = -3*n**3 - 30*n**2 - 30*n + 18. Let o(t) = g*k(t) - x(t). Suppose o(l) = 0. What is l? -2, 0 Let d be (-4)/54 - (-24320)/1728. Suppose -46 = -d*b - 18. Factor 3/2 - 3/4*v - 3/4*v**b. -3*(v - 1)*(v + 2)/4 What is z in 4/9*z**4 + 10 + 214/9*z**2 + 83/3*z + 59/9*z**3 = 0? -10, -3, -1, -3/4 Let m = -1234/3 + 104896/255. Let b(x) be the first derivative of 1/17*x**2 - 4/17*x - m*x**5 - 1/34*x**4 + 2/17*x**3 - 20. Determine j, given that b(j) = 0. -2, -1, 1 Let f = 26163 + -26163. Let w(x) be the first derivative of 5/6*x**6 + 3*x**5 + 5/3*x**3 + f*x + 0*x**2 - 9 + 15/4*x**4. Factor w(l). 5*l**2*(l + 1)**3 Let r = -6127 + 6129. Let c(f) be the second derivative of 0*f**4 - 4*f - r*f**3 - 4*f**2 + 0 + 1/5*f**5. Factor c(t). 4*(t - 2)*(t + 1)**2 Let n(u) = -1. Let c be (-39)/(-13) + (2 - 0). Let t(v) = v**2 + 42*v + 85. Let r(a) = c*n(a) + t(a). Factor r(z). (z + 2)*(z + 40) Let j(t) be the second derivative of 1/4*t**5 - 10/3*t**4 + 0 - 5/6*t**3 + 20*t**2 - 47*t. What is y in j(y) = 0? -1, 1, 8 Let r(y) = y**2 + y + 1. Let j(a) = -6*a**2 + 52*a - 75. Let x(i) = j(i) - 2*r(i). Let q(h) = h**2 - 1. Let v(u) = -3*q(u) - x(u). Factor v(b). 5*(b - 8)*(b - 2) Solve 2929*a**2 + 1996 - 5861*a**2 + 2926*a**2 + 2990*a = 0. -2/3, 499 Let r be (-323)/(-570) + -4*1/10. Let b(y) be the second derivative of 1/60*y**4 + r*y**3 - 22*y + 0 - 1/100*y**5 + 3/10*y**2. Factor b(w). -(w - 3)*(w + 1)**2/5 Let q(v) be the third derivative of 1/120*v**6 - 16/3*v**3 + 0 - 2*v**2 - 1/6*v**5 + 29*v + 4/3*v**4. Determine f so that q(f) = 0. 2, 4 Let a(c) be the third derivative of -19*c**6/24 - 929*c**5/12 + 7655*c**4/12 - 260*c**3 + 7994*c**2 + c. Factor a(b). -5*(b - 3)*(b + 52)*(19*b - 2) Let h(z) be the first derivative of 55*z**3 - 20 - 50*z**2 + 5*z**5 + 20*z - 55/2*z**4. Let h(n) = 0. What is n? 2/5, 1, 2 Factor 1/10*f**5 + 3/2*f**3 + 0*f + 0*f**2 + 0 - 4/5*f**4. f**3*(f - 5)*(f - 3)/10 Let o(s) be the second derivative of -1/170*s**5 - 5*s + 8/51*s**4 + 0*s**2 - 17 + 0*s**3. Suppose o(y) = 0. What is y? 0, 16 Let r(t) be the second derivative of -t**6/960 + t**5/160 + 43*t**3/3 - 23*t - 2. Let w(l) be the second derivative of r(l). Factor w(o). -3*o*(o - 2)/8 Let f(l) = -10*l**3 - 62*l**2 + 8*l - 8. Let t(g) = 11*g**3 + 63*g**2 - 9*g + 9. Let v(h) = -9*f(h) - 8*t(h). Find m such that v(m) = 0. -27, 0 Find o, given that 128/3*o - 4/3*o**2 + 44 = 0. -1, 33 Solve -3/5*g**2 + 9276/5*g - 7170348/5 = 0 for g. 1546 Let s(n) be the third derivative of -2*n**5/5 + 25*n**4/24 - n**3/6 + 2020*n**2. Find a such that s(a) = 0. 1/24, 1 Suppose 0 = -3*b + 4*y + 20, -b - 3*y = 2*b - 48. Suppose -6*h - b = -24. Suppose 0*g - 3/4*g**h + 0 = 0. What is g? 0 Let j(x) be the first derivative of 6*x**5/35 - 24*x**4/7 - 264*x**3/7 - 96*x**2/7 + 4224*x/7 - 6758. Determine g so that j(g) = 0. -4, 2, 22 Let q(x) = x + 2. Let f be q(2). Let t be (12/f)/(-1 + 2). Factor -l**4 - 8*l**t + 10*l**3 - l**5 - 2*l**3. -l**4*(l + 1)
Suppose v + 2*x + 11 = -0, -v - 5*x = 23. Let f be v + -1 + -7 + 11. Solve f = s - 4*s for s. 0 Suppose 2*u + 4 = 0, r + 4*u - 2 = 5*u. Let k be 2/3*(4 + -1). Suppose -6 = -r*p - k*p. Solve p*w = 4*w - 1 for w. 1 Let c = -4 + 8. Suppose 0 = c*p - 15 + 3. Suppose 3*t = -p*h + 3, -h - 4*t = t - 5. Solve h = -y - y for y. 0 Suppose -7 = 2*p + 3*c, -5*p = -11*c + 10*c - 25. Suppose -4*v = -m - 5, -4*m + 11 = 3*v - 26. Solve -n + m = p for n. 3 Suppose r = 3*n - 20, 2*n + r = 4 + 1. Solve 14 = -n*y - 1 for y. -3 Suppose 2*g = -3*k + 10, -2*k = -k - 3*g + 4. Suppose 4*v = -3*h + 2, -3*h + v + 5 + 2 = 0. Suppose l + 0*l + 2*t = h, 11 = 2*l - 3*t. Solve k*y + l = -0 for y. -2 Let k be (-92)/28 - (-20)/70. Let y(x) = -3 - x**2 - 5*x - 4*x - 5. Let l be y(k). Solve 4*z = 6*z - l for z. 5 Suppose -4*n = -19 - 9. Let j(d) = -d**2 - 10*d - 6. Let o be j(-9). Suppose -5*t - k = 3*k - 9, -3*t + o*k = -27. Solve -n*z + t*z + 6 = 0 for z. 3 Let p(w) = -w**3 - 8*w**2 - 19*w - 32. Let u be p(-6). Solve -u = -15*q + 20*q for q. -2 Suppose 0 = 3*t - 0 + 3. Let a = 1 - t. Suppose -2*x + 1 = 3*n, a*x - 3*x + 5*n = -20. Solve 4*p = x*p for p. 0 Let d be (-873)/(-388)*(1 - -3). Solve 0 = -2*a - d + 9 for a. 0 Let k(n) = 5*n**2 + 4*n + 6. Let m be k(-3). Let a = m - 39. Solve a*f + 5 = -f for f. -5 Let o = 10 - 19. Let f = -7 - o. Solve 0 = -k - 0*k + f for k. 2 Let g = 47 - -15. Let c = g - 19. Suppose 0 = 40*a - c*a + 12. Solve 0 = -2*j - a + 2 for j. -1 Let a be 9/(3*(-3)/(-27)). Suppose 29*t = a*t. Solve -4*l + t*l = -16 for l. 4 Suppose 10 = 4*w - 14. Let g be 4*((-2)/(-8) - -2). Let r be ((-6)/g)/(w/(-63)). Solve r = -4*d + 3 for d. -1 Let x = 714 - 712. Solve -8 = -x*d - 2 for d. 3 Let m = -44 - -49. Suppose 0*r - 20 = -4*r. Solve 10*y = r*y - m for y. -1 Let p be (-1)/(388/(-96) + 4). Suppose -9*s = -7*s - p. Solve -3*z - 3 = s for z. -5 Suppose -4*g - 4*d = -40, -8*g = -4*g + d - 25. Let l be (-11 + 5)*(-2)/(-4). Let p = l + g. Solve 15 = -p*y + 7*y for y. 3 Let x(z) = 4*z**3 + 4*z**2 - 4*z + 2. Let d be x(2). Suppose 0 = -38*w + d*w - 84. Solve -w = 3*c - 6 for c. -5 Suppose -4*o = -7*o - 6, -4*o + 64 = 4*h. Suppose -7*x - 25 = -4. Let j be (x/2)/((-3)/4). Solve j = 4*c + h for c. -4 Suppose -6*g = -g - 35. Suppose -3*m + 2 = -g. Suppose 0 = 3*k + 5*c + 13, -m*k - k + c + 21 = 0. Solve -j + k*j + 9 = 0 for j. -3 Let q(c) = -c**3 + 9*c**2 + 11*c - 6. Let i be q(10). Suppose -7*m + 9 = -i*m, m = 5*k - 27. Solve -k = u + u for u. -3 Suppose -5*u - z + 55 = 0, -3*u - 3*z + 55 - 10 = 0. Let r be u/(-35) + (-2)/(-7). Suppose 10*h - 5*h - 20 = r. Solve p - 3 = -h for p. -1 Suppose 2*g - 12 = -5*d, 3*d + 2*g + g = 9. Suppose -45*r + 43*r = -4. Solve -8 = -d*v - r for v. 3 Let j(d) = 6 + 2 - 4*d + 18. Let z be j(6). Solve -z*t - 15 = t for t. -5 Let d(g) = g**2 + g - 1. Let z(v) = 38*v**2 + 6*v - 5. Let f(y) = -3*d(y) + z(y). Let t be f(1). Let c = t + -33. Solve -p = 4 - c for p. -1 Suppose 28*k - 152 = 24*k. Solve -41*b + 12 = -k*b for b. 4 Let q be 0*(6 + 13/(-2)). Solve q*x = 4*x - 20 for x. 5 Suppose -89*k + 101*k = 0. Solve 14*t - 2*t + 24 = k for t. -2 Let c(z) = -z**3 - 18*z**2 + z + 8. Let u be c(-18). Let i be u/15 - 10/(-6). Solve -i = -2*s + 7 for s. 4 Let z = 32 + -30. Suppose 0 - 3 = -y. Suppose 4*m - y = l, -2*l - 2 + 6 = 2*m. Solve -3 + m = z*n for n. -1 Let a = -11 + 16. Suppose 5*i + 28 = -5*d + 8, -3*d - 4*i = 16. Solve d = -a*x + 2 - 7 for x. -1 Let a(b) = -b + 3. Let f(r) = -r + 4. Let h(u) = -6*a(u) + 5*f(u). Let g be h(-1). Suppose 4*j - 1 = -3*t, 4*j + 7 + 13 = 4*t. Solve -g = z - t for z. 2 Suppose -2*m = 2*o - 12, -4*m - 2*o - 11 = -31. Solve -m*f + 1 + 7 = 0 for f. 2 Suppose 8*z = 7*z + 6. Solve 0 = z*w - 4*w - 10 for w. 5 Let h(d) = d - 3. Let x be h(8). Suppose -x*m = -9*m + 8. Solve -6 = -5*l + m*l for l. 2 Let m be -2 + 147/12 - (-18)/24. Solve -2*r + 45 = -m*r for r. -5 Suppose 3*y - 3*j = 8 + 7, 4*j = 16. Let m = -367 - -364. Let i = m + y. Solve i*h - h + 10 = 0 for h. -2 Suppose -4*n = -4*a - 84, -a - 2*a + n - 59 = 0. Let j = a - -21. Solve -10 = j*l - 0*l for l. -5 Let n(p) be the second derivative of p**5/20 - p**4 - 13*p**3/6 + 2*p**2 - 3*p. Let w be n(13). Suppose w*q + q - 25 = 0. Solve l - q*l = 0 for l. 0 Suppose 2*p - y - 3 = -2*y, -4*p = -2*y - 18. Let o be -92*p/6*-1. Suppose 5*v - o = -4*a, a = -v - 6 + 17. Solve -s + a = 2*s for s. 3 Let v(k) = k**2 + 3*k - 26. Let z be v(-7). Solve 4 = 4*y - z*y for y. 2 Let s be -3 + (1 - 13)/(-3). Suppose -2*y - 10 = 0, -2*h - 3*h - 5 = 3*y. Suppose -h*o + 9 = s. Solve -f + o*f = -3 for f. -1 Suppose 0 = 2*s - 3 - 3. Suppose s*y = 5*r + 31, -2*y + 4*r + 15 = -y. Suppose 0*o - o = -y. Solve -o*g = -2*g for g. 0 Let j be 2/9 + 68*(-8)/(-144). Suppose 0 = -0*b - 3*b. Solve 5*g - 3*g - j = b for g. 2 Suppose -4*h - 3*d - 11 = 0, 2*h + 9 = -h - 3*d. Let q be (-36)/h - (-6 + 7). Let v = q + -13. Solve -f - v = f for f. -2 Let h(k) = -4*k**3 - 20*k**2 - 16*k - 17. Let l(s) = -2*s**3 - 10*s**2 - 8*s - 8. Let x(u) = 6*h(u) - 13*l(u). Let i be x(-4). Solve -i*g - 20 = 2*g for g. -5 Let r be (4/(-14))/(2/(-28)). Suppose 0 = -3*s + 11 + 19. Let a(u) = u**2 - 2. Let o be a(-2). Solve o*y - s = -r for y. 3 Let d be (-1)/(-4) - 14/(-8)*9. Suppose a + 3*f = d, -f = -4*a + 3*f. Solve -a*g = -8 - 0 for g. 2 Let f be ((-4)/(-5))/((-2)/5). Let o be (-3)/9 + (-2)/3. Let q be -1 + 0 - o - f. Solve 6 = -q*u - 2 for u. -4 Let u(s) = -s**2 - 17*s - 40. Let v be u(-3). Solve v*w = 6*w for w. 0 Suppose h = 5, -3*r - 9 = -0*h - 3*h. Suppose 5*i - r = -2*t, 3*t + 5*i + 0*i - 8 = 0. Solve -t*c = -c for c. 0 Let z(q) = 5*q**3 + 31 - 7 - q - 6*q**3 - 9. Let a = 3 - 3. Let n be z(a). Solve 0 = -4*o - 1 - n for o. -4 Suppose -15*d = -6*d - 27. Solve 9*i - 12 = d*i for i. 2 Let p be (210/(-40) - -6)*4. Solve 0*u = 3*u - p for u. 1 Let w = -884 + 884. Solve -6*s + 7*s + 4 = w for s. -4 Let c = -31 - -4. Let z be (-4)/(-18) + (-858)/c. Let p be (-3)/(-2)*z/24. Solve 5*r + 22 - p = 0 for r. -4 Suppose -12*j - 7 = -13*j - m, j + 5*m + 1 = 0. Solve k = j*k for k. 0 Suppose 3*w - 5*u - 3 = 0, 0 = -2*w + 5*w + 3*u - 3. Solve 16 - w = -5*h for h. -3 Let q(p) = -p**2 + 15*p + 3. Let z be q(15). Suppose n = -3*n + 20. Suppose -z*l + 4*y = -105 + 25, -3*l = n*y - 35. Solve -2*f = 3*f + l for f. -4 Let f be ((-3)/7)/((-3)/21) - 1. Suppose 5*k = -f*k. Solve -10 = 5*q - k for q. -2 Suppose -2*r + 46 + 132 = 0. Let m = -87 + r. Solve 0 = m*v + 2 for v. -1 Suppose -4*f - b = -16, 7*b = -2*f + 5*b + 14. Solve -4 = -f*i - 1 for i. 1 Suppose 18 = -16*m + 13*m. Let o(s) = -s**3 - 5*s**2 + 5*s - 6. Let n be o(m). Solve -2*w - 3*w = n for w. 0 Let z = -914 + 932. Solve 0 = -11*h + z*h - 7 for h. 1 Let k be (-3)/9 - (-43)/3. Suppose l = -0*j + 2*j, 4*l - j = k. Suppose 4*o - 24 = -0*o. Solve -o = -l*b + 2 for b. 2 Suppose -2*x + 2*a - 16 = -3*x, -5*x + 5*a = -65. Suppose -34 = -4*g - x. Suppose -2*c + 7 = g. Solve c = 2*m + 3 for m. -1 Let a = 25 - 12. Let c(u) be the first derivative of -u**4/4 + 13*u**3/3 + 2*u - 272. Let w be c(a). Solve w*v - 3*v + 5 = 0 for v. 5 Let t = -52 + 64. Solve 30*a - t = 34*a for a. -3 Suppose 7*s - 21*s + 196 = 0. Solve -54 = -8*v - s for v. 5 Let x = 0 - -11. Let l = 13 - 10. Solve -l*f = 2 - x for f. 3 Suppose -2*q - 5*o + 40 = 3*q, -5*o = -4*q + 50. Solve -16 = 3*p - q for p. -2 Suppose 5*z - 11 + 121 = 5*r, -2*z = 10. Suppose 42 + 27 = 23*m. Solve -4*t - m = r for t. -5 Let h(t) = 3 + 5 - 1 - t - 2. Let w be h(-5). Solve 0 = r + r - w for r. 5 Let z(p) = 5*p - 9. Let r be z(6). Let w = -19 + r. Solve -w*i - 4 = -i for i. -4 Suppose 11*i = i - 50. Let v(q) = -3*q + 5. Let f(p) = 2*p - 6. Let k(w) = -4*f(w) - 3*v(w). Let t be k(i). Solve -t = -2*n - 0 for n. 2 Let x = -56 - -88. Let n be 4*2/(x/(-20)). Let j be (3 - 2)/(n - -6). Solve -4*p - 9 + j = 0 for p. -2 Suppose 0 = s - 15 + 5. Suppose -77 = -34*k - 9. Suppose s = k*b - 2*d, 2*b - b + d - 3 = 0. Solve 2*f + 6 = b*f for f. 3 Suppose -137 = -70*a + 283. Solve 0 = -42*x + 45*x - a for x. 2 Suppose -98 = -5*n - 48. Solve -2*m + n = -4*m for m. -5 Suppose -5*n = 84*x - 88*x + 253, 0 = 4*x + 2*n - 274. Solve -61 = -6*p - x for p. -1 Let c be 1/((-5)/175*(-2)/4). Solve -c = -2*q - 80 for q. -5 Suppose 2*c - 42 = -3*z, 0 = -4*c + c. Solve -15 = -z*l + 17*l for l. -5 Let j = 11 - 22. Let n be (104/16*-2)/((-2)/2). Let y = n + j. Solve y*d - d = 0 for d. 0 Let s(d) = 4*d - 2. Let m be s(4). Let z(u) = -2*u**2 + 32*u - 53. Let j be z(m). Suppose n + 15 = 3*k + 3*n, 0 = 5*k + 4*n - 27. Solve j*i = k - 12 for i. -3
Suppose 12*l - 9*l = 20949. Is l a prime number? True Is (-1725069)/(-48) - 11/(-176) a prime number? False Let y = 14 - 17. Let s(o) = 55*o**2 + 7*o - 1. Let f be s(y). Let x = 1150 - f. Is x prime? True Let b(d) = 154*d**2 + 6*d - 5. Is b(-7) a prime number? True Let n = 62266 + -29807. Is n a prime number? False Suppose -n = 5 - 9. Suppose -2*k - 5*v + 893 = -2*v, 0 = 4*v - n. Is k a prime number? False Suppose 7*u - 10*u = 3861. Let v = -754 - u. Is v a prime number? False Let a(d) = -45952*d - 161. Is a(-1) prime? False Let m(s) = 1 - 8*s + 4*s + 7*s. Let t be (-2)/(-8) + 282/24. Is m(t) prime? True Suppose 0 = -4*x + 30 + 18. Let m = -10 + x. Suppose m*j - 97 = -5. Is j composite? True Let o be 0*7/21 + 12/(-2). Is 22*((-819)/o + -2)/1 a composite number? True Suppose -2*a + a - 3*s + 7568 = 0, 3*s = -5*a + 37852. Suppose 0 = -2*f + 4*j + 5026, 2*f - 5*f = 2*j - a. Is f composite? False Let x be (0 + (-3 - -2))*1 - -4. Suppose -195 = -x*s + 2*c, 3*s - 118 = c + 80. Is s prime? True Let w(y) = 993*y + 47. Is w(20) a prime number? False Let p = 11523 + -1696. Is p a prime number? False Let i be (-10)/15*9/(-6) + 2. Suppose d = i*t + 6*d - 6938, 4622 = 2*t + 4*d. Is t composite? True Let q(z) = 8*z**2 + 20*z - 49. Is q(12) prime? False Let b = -6 + 13. Let j be 2775/b - (-3)/(-7). Let y = -281 + j. Is y a composite number? True Let p be (-13)/39 + 10/3. Suppose -p*b = 3*a - 2145, b + 5*a - 1418 = -b. Is b a prime number? True Let i(y) = y + 1. Let v be i(1). Suppose -j + 3*t = v*t - 192, 5*t - 930 = -5*j. Suppose -5*c + j = 2*u, 4*c + 0*u = -u + 150. Is c composite? False Let y = 6912 - 2209. Is y a prime number? True Suppose -1720 = -6*y + 566. Suppose y = 3*i - v, -4*i - 3*v + 254 = -2*i. Is i composite? False Is (-8)/(-28) - (-603387)/21 a prime number? False Let x = 94 + -94. Suppose -4*t + x*c - 5*c = -1518, 5*c - 10 = 0. Is t a prime number? False Suppose -3*t = 5*t - 16. Is ((t - 3) + 2)*1345 a composite number? True Is ((-102)/30)/(1/(-1795)) composite? True Suppose 4*f - 24 = -2*f. Let l(j) = 116*j - 15. Is l(f) prime? True Let h be 2/(-5) - 19520/(-50). Suppose -4*k - k = -20, 3*v - 3*k + h = 0. Let p = v + 385. Is p composite? True Let h = 9608 + -23834. Let p be (-2)/3 + h/(-9). Suppose 3*w = 7*w - p. Is w a composite number? True Let d be (-2)/(-3)*(-9)/2*-49. Let k = d - -368. Is k a prime number? False Let q(v) = -v**3 - 6*v**2 - v - 1. Let g be q(-6). Suppose -g*b - 223 = -5*d + 232, -4*d - b = -354. Suppose -5*u + 4*u = -d. Is u a prime number? True Suppose -3*y + 698 = -238. Suppose 9*r + y = 5181. Is r a composite number? False Suppose 0 = 4*k - 7*a + 2*a - 65, -3*k = 2*a - 66. Suppose -k = -5*c, 3*z = -2*c - c + 804. Suppose 4*i = z + 208. Is i a prime number? False Suppose -410*d = -391*d - 605701. Is d a composite number? True Let f(r) = r**2 - 49. Suppose -i + 3*i = 0. Let a be f(i). Is -2*(-2)/(-4)*a a composite number? True Let i be (10/3)/((-18)/(-27)). Suppose i*u = -0*u - 5*w + 215, -4*u = -3*w - 158. Suppose 0 = 5*x - 74 - u. Is x prime? True Suppose 3 = 3*d + 4*o, -5*d + d + 5*o - 27 = 0. Is d/((-3)/2293)*1 a prime number? True Let k = 4799 + -2340. Is k prime? True Suppose -7*w - 626 = -1557. Let m = 168 + w. Is m prime? False Let c(h) = h**3 - h**2 + 2*h - 11. Let z be c(0). Let u be 1322/z + 8/44. Let g = -67 - u. Is g a prime number? True Suppose 2*q + 1986 = 5*q. Is q a prime number? False Let v(f) = 94*f - 99. Is v(28) prime? False Suppose -361 = -14*b - 5*b. Suppose 0 = -15*k + b*k - 9452. Is k a prime number? False Suppose -9*f - 650 = -4*f. Let g = f + 212. Is g prime? False Suppose 6 = 2*c, 2*j - c + 7 = -2. Is 2720/(0 + 4) - j composite? False Suppose o - 4*q = -0*q + 4361, -13138 = -3*o + q. Is o prime? False Suppose m - 6 = -m. Suppose -m*z = -4 - 5. Suppose -125 = -z*f + 112. Is f a composite number? False Suppose 7*v - 24 = 4. Suppose -2*y - 2535 = -v*d - 207, d - 591 = -4*y. Is d a prime number? False Let t = -21 + 20. Let q = t + 4. Let p(l) = 5*l - 1. Is p(q) composite? True Suppose 4*g = -3*i - 37, -3*g - 5*i = 2*g + 40. Let w = g - -15. Suppose -2*d = w*d + 2*f - 2218, -5*d = -3*f - 2756. Is d a prime number? False Let z(f) be the third derivative of 3*f**5/20 + 5*f**4/24 - f**3/2 - f**2. Suppose -2*n = 5*h - 33, -n - 5*h = -5*n + 21. Is z(n) a prime number? False Let h be ((-3)/(-9))/((-1)/(-9)). Suppose -93 + 510 = -h*o. Let l = -8 - o. Is l composite? False Let p(q) = q**3 + q**2 + 7*q - 1. Suppose -26*k = -25*k - 6. Is p(k) composite? False Let s be 11*-1 - (-28)/7. Let l(n) = 2*n**2 - 1 - 1 + 3*n**2 + 8*n. Is l(s) composite? True Suppose 3*z = -4*l, 2*z + 7 = -1. Let i = -5 + 7. Suppose i*o - 5*o = a - 346, 2*a + l*o = 677. Is a composite? False Suppose -3*g = -5*b - 7248, 14 = -b + 11. Is g composite? False Let u(p) = 13*p - 14. Let k be u(8). Suppose 23 = d - 5*w, 4*d = 5*w + 62 + k. Is (3 - -5)*d/4 a prime number? False Suppose 0 = 2*i - s - 121 - 39, 0 = 5*s + 10. Suppose -2*r = -3*r + i. Suppose k + r = 2*k. Is k composite? False Suppose 4*n - 40*s - 132 = -44*s, 5*s = n - 57. Is n a composite number? False Suppose -5*j - 200 = -1915. Suppose -j = -0*u + u. Let o = -84 - u. Is o a composite number? True Let a be (2 - -1335)/((-3)/6). Let o = -1613 - a. Is o composite? False Suppose 22*f = 7*f + 23145. Is f composite? False Suppose -14*o + 51313 = 13877. Let t = o + -1265. Is t prime? True Is (-20133)/6*76/(-6) composite? True Let a be ((-8)/(-4) + 0)*107. Let s be (-4)/(-1*8)*a. Let u = s - 54. Is u prime? True Let t(f) = 3*f**2 - 2*f + 15*f**2 - 5 - 4 + 5*f. Is t(4) prime? False Is (-6)/12*(-6558 - -10) prime? False Let c be 1546/((-3)/((-18)/(-4))). Is c/(-11) - 2/(-11) a composite number? False Let m = 15 + -8. Let i = m - 2. Suppose 2*n = -3*z + 321, 0 = -3*n - i*z - 39 + 521. Is n a composite number? True Let c(o) = o**2 + 7*o - 7. Let r be c(-8). Let i(k) be the first derivative of 109*k**4/4 + k**2/2 - k + 2. Is i(r) a prime number? True Let k(d) = d**2 + 2*d + 322. Let u be k(0). Let l = -99 + u. Is l a prime number? True Let a = -29 - -52. Let o = 27 - a. Suppose 0 = 4*j + h - 187, 68 = o*j - 5*h - 101. Is j a prime number? False Let f be (4/6)/(46/(-483)). Is f/((-7)/(-1213))*(0 - 1) a composite number? False Let v = 37680 + -6593. Is v a prime number? False Let q(p) = p**3 - p - 1. Let v(g) = -3*g**3 + 4*g**2 + 7*g. Let k(w) = -4*q(w) - v(w). Let j be k(-3). Is j/(-2) + 122/2 a prime number? True Let d be -3*1*(-6)/(-9). Suppose 0 = -y + 6*y - 2525. Is (-8)/10*y/d prime? False Let t(i) = -i**3 + 3*i**2 + 6*i - 5. Let p(w) = 2*w**3 - 9*w**2 - 18*w + 15. Let m(g) = -3*p(g) - 8*t(g). Let y be m(4). Let f = y - 108. Is f composite? True Suppose -3*g + k + 42434 = 0, -7*k - 56607 = -4*g - 0*k. Is g a composite number? False Let d(m) = 5*m**2 + 22*m - 18. Is d(-13) composite? False Let a(t) = t**3 + 5*t**2 - 2*t - 1. Let b be a(-5). Let f = -7 + b. Suppose 2*x - 20 = -3*z, 5*z = -f*x + 20 + 4. Is x composite? False Let m(w) be the third derivative of 7*w**7/720 + w**6/180 + w**5/12 - 7*w**2. Let r(q) be the third derivative of m(q). Is r(6) a composite number? True Let d = -96 + 98. Suppose -2243 = -d*n + 1619. Is n prime? True Let j = 72622 - 47045. Is j prime? True Is 2660 + ((-23)/9 - 4/9) a composite number? False Let c = 71 - 738. Let r = c + 181. Let a = -221 - r. Is a a prime number? False Let m = 57362 - 14571. Is m a prime number? False Let o(a) = a**2 + 16*a + 5. Let f(h) = -h**2 - 16*h - 6. Let k(s) = -6*f(s) - 5*o(s). Let p be k(-9). Let y = 114 + p. Is y composite? True Let a(c) = c**3 + 13*c**2 + 17. Let l(z) = -z**3 + 11*z**2 - 11*z + 14. Let r be l(10). Suppose -q - 47 = r*v, -3*v = 3*q + 24 + 9. Is a(v) a prime number? False Let x(m) be the third derivative of m**5/60 + m**4/24 + 211*m**3/6 - 10*m**2. Is x(0) composite? False Let s = 953 + -2053. Is (1 - s) + 12/(3 - -3) composite? False Let m(v) = -352*v + 10. Let p be m(-10). Suppose p = j - 1251. Is j a prime number? False Suppose 1 = 2*i + 2*m - 3*m, -2*i + 2 = -2*m. Let y(j) = -896*j**3 - 2*j - 3. Let x be y(-1). Suppose i = -z - 4*z + x. Is z prime? True Let s be 2/(-1) + 0*2/(-8). Is 1486*(-3)/6*(-3 - s) a prime number? True Let q = -7 + 7. Is (q + 1)/(2 - 69/35) composite? True Suppose -3*c - 412 = a, 129 = -4*c + 3*c - 2*a. Let k = 434 + c. Is k a prime number? False Let k(s) = -4*s**2 - 8*s - 11. Let v(b) = 5*b**2 + 7*b + 11. Let g(q) = -4*k(q) - 3*v(q). Let i be g(-10). Is (2 - 111/i)*-1 composite? False
Add -18.2511 and 8.44313. -9.80797 Calculate 16 + -180617875012. -180617874996 -0.03089123839 + 3.142 3.11110876161 What is 0.17014576902 + 0.519? 0.68914576902 What is 2850.16481149 - -0.07? 2850.23481149 Work out 17.53 + -0.01514834371. 17.51485165629 What is the distance between -3836741.01334 and 1? 3836742.01334 Add -55.19606614 and -94.023. -149.21906614 What is -0.2 plus -90629427742112? -90629427742112.2 Add 3 and -14016010967721.1. -14016010967718.1 Work out 8756.64953 - -0.13111. 8756.78064 What is 2 + 209471584849? 209471584851 What is 20802813.15 take away 0.01? 20802813.14 What is 522471068450470 plus -4? 522471068450466 Calculate -53435535 - 26220. -53461755 0.074419+-3934124 -3934123.925581 Put together -69851917 and 192995. -69658922 What is 0.085 minus -366332654? 366332654.085 What is 545629931.0607 + -1.2? 545629929.8607 Calculate 25921665 - -0.04253181. 25921665.04253181 Subtract 361316 from -5467500. -5828816 Calculate -0.527 - -140540414509. 140540414508.473 Add together 9.4496593251 and -922. -912.5503406749 Add together 2756194.67 and 439.06. 2756633.73 What is -0.18502 less than 778662? 778662.18502 Subtract -5633 from 8722981.4. 8728614.4 -192.58226+-0.0437 -192.62596 What is -450617938202 + 37? -450617938165 Calculate 0.1625 - 6755524185. -6755524184.8375 What is the distance between 1325.3989864793 and -2? 1327.3989864793 Subtract 50 from -116169460.5992. -116169510.5992 What is -42 - -0.045015851185? -41.954984148815 What is -24346485895 take away -1.1? -24346485893.9 429.4018+11456621 11457050.4018 What is 0.12613 take away -121.411? 121.53713 Put together 825042749210 and -5. 825042749205 Sum -44 and -95766.042568. -95810.042568 339+-510939157 -510938818 What is 7 take away 1093486546908? -1093486546901 Put together 49 and -7391017734. -7391017685 What is -65351717.5 + 563? -65351154.5 Work out 12.0551417 - 401. -388.9448583 Subtract 44 from -11.3649882229. -55.3649882229 Calculate -225842702 - -491296. -225351406 Work out 71 - -0.432149326092. 71.432149326092 What is -1399.59911 less than 1610? 3009.59911 Work out -2 + 3169547481.9. 3169547479.9 What is -706271.7 - -2216.803? -704054.897 What is -84017801 minus 4370? -84022171 Subtract -7673896809102 from 5. 7673896809107 Work out -12.9097 - -113770533. 113770520.0903 What is -2185.9490745485 take away -0.1? -2185.8490745485 Subtract 6.931 from 0.838911. -6.092089 What is -112.526 take away 10574619? -10574731.526 What is 78640 + -112118729? -112040089 Sum -93.079 and 2474261406. 2474261312.921 What is 1.45 take away 477803048854? -477803048852.55 Add together 15286317864.92 and -0.4. 15286317864.52 What is -1.1 - 289573.499021? -289574.599021 Subtract -14 from -1145191567484. -1145191567470 Work out -1279447354.581 - 0.4. -1279447354.981 What is -364 take away 1.4579215? -365.4579215 What is -43023421.6 - -440? -43022981.6 Work out 1557.6 + 827624.3. 829181.9 -12581584218.3+-406 -12581584624.3 What is -0.26958 take away 152137.29? -152137.55958 Add 0.1 and 42427527636048. 42427527636048.1 Subtract 0.485 from 1231130740. 1231130739.515 Calculate 0.4 + -324720.35617983. -324719.95617983 What is -355.82322 - 4125619? -4125974.82322 What is -6.6 - 1473494.087799? -1473500.687799 4 + -3932828481780 -3932828481776 Add 0.024141 and -67416020. -67416019.975859 Add together 0.07 and -2581775052. -2581775051.93 Calculate -49585725070 - 20. -49585725090 -202146193869 - 453 -202146194322 Work out -334980360164 - 4.3. -334980360168.3 What is the distance between 0.69 and 233677004? 233677003.31 Add together 1116685354 and 58631. 1116743985 Add together 3581024243021.2 and -4. 3581024243017.2 Work out -860742 - -2868.4. -857873.6 What is -15140306474 - 9? -15140306483 What is the distance between 5334673747755.8 and 0.16? 5334673747755.64 -15003590025447+0.6 -15003590025446.4 Work out -63498.7953 - -580788. 517289.2047 Add 0 and -49988.91482987. -49988.91482987 Put together -7427994 and -4660189. -12088183 Sum -0.381513247965 and -0.5. -0.881513247965 Calculate 286664 - -1725.05. 288389.05 What is the distance between -92182347 and 0.0880802? 92182347.0880802 Subtract -194595209 from 1109. 194596318 Subtract 1828.410022 from 74. -1754.410022 Work out -0.65 + -396264179419. -396264179419.65 What is the difference between 10601 and 114.19662? 10486.80338 What is -1 less than 60722334408? 60722334409 What is 73.9592038312 less than -2? -75.9592038312 What is 403.662350449 plus -19.5? 384.162350449 -580.12244 + -1381262 -1381842.12244 Put together 61800743493 and 22. 61800743515 -1618351+1784682 166331 What is 0.10201626 less than -5379184? -5379184.10201626 What is 587 take away 95561498487? -95561497900 Total of 0.3 and 13400631565772. 13400631565772.3 Add 2414.47 and -111933737. -111931322.53 -4 - -369067094262 369067094258 Calculate -7 + 47095392375022. 47095392375015 What is -10784791 plus 1956? -10782835 Calculate -1221.758 - 0.4148886. -1222.1728886 Add together 8349.231096 and 4. 8353.231096 Work out 154.2637 - 3.97863. 150.28507 Put together 2116001810 and -5. 2116001805 1830.736508437+-7 1823.736508437 What is -417693 - 0.153491048? -417693.153491048 Put together -15618 and -1388957. -1404575 What is 119 less than -0.3693548319? -119.3693548319 Work out 770098.98775 + 61.9. 770160.88775 What is the difference between 14388200020 and -0.2621? 14388200020.2621 Add together -56 and 18540106355. 18540106299 What is -5 take away 1051619250734? -1051619250739 What is the difference between -42213941 and -246.113? 42213694.887 What is -139 plus 147363.719? 147224.719 Calculate -3 - 36957691737. -36957691740 What is 17.085 minus 7728308.76? -7728291.675 Subtract 64 from -5676393412724. -5676393412788 What is 12201.6 minus -86.595843? 12288.195843 Calculate -12 + 46.33689539424. 34.33689539424 Total of -2.60463 and -25000. -25002.60463 What is 0.2 less than -504707739484? -504707739484.2 Calculate -1.44241584 - -0.0782. -1.36421584 Add together 0.58 and -732280.579. -732279.999 Add -0.1 and 4762184671.5. 4762184671.4 Sum -2.10408173 and -0.8679. -2.97198173 0.78 + -27.75033664 -26.97033664 Work out -13821272 + 392.5. -13820879.5 What is -1 less than -25216306789532? -25216306789531 Subtract -1 from -8526.32098772. -8525.32098772 -1468.065 - 103.83952 -1571.90452 What is 2915638710 minus -13868? 2915652578 -0.2 - 1453124615365 -1453124615365.2 Calculate -559191 - -3059.991. -556131.009 What is -313143507 take away 2.123? -313143509.123 Add 3 and -860218.242578. -860215.242578 Sum 3.06173 and 159070843. 159070846.06173 Subtract -12394.211 from -14.225. 12379.986 Work out -279655 - 2475716.8. -2755371.8 Calculate -879744 + 274220. -605524 What is 809813 less than -764953? -1574766 Work out -0.6 - 40954322.92. -40954323.52 Work out -580920 + 0.4131196. -580919.5868804 What is 25040 less than 770660072? 770635032 Sum 4757.9 and 649.15771. 5407.05771 12+1369182813958 1369182813970 What is -1 + 251.94622546? 250.94622546 Work out 26639029444.8 - -14.8. 26639029459.6 What is -2062873.87773 take away 3? -2062876.87773 Put together 88664043 and 45.9842. 88664088.9842 Subtract -7111.99 from 619933.69. 627045.68 What is 5164 less than -70812515? -70817679 What is the difference between -0.089082 and 683448052? 683448052.089082 1467+-18988191.5 -18986724.5 7442 - 89957335.62 -89949893.62 46397.338572081 + -13 46384.338572081 What is 23232339851 take away 9591? 23232330260 Work out 7978.9634262 - -82. 8060.9634262 Work out 60542595525 + -2. 60542595523 What is the difference between -4.0959 and 0.2782959? 4.3741959 What is -0.003 + -20745820.6766? -20745820.6796 Add together -24 and -6469712428. -6469712452 What is -47484.9768 take away -30064? -17420.9768 Work out -24 - 753423448.206. -753423472.206 -66631179+-81.523 -66631260.523 Add 2 and -21239417.9645. -21239415.9645 Work out -1.6 + 12319732.489. 12319730.889 What is -366895 minus -17728936? 17362041 What is 0.4 - 191153667031? -191153667030.6 Work out 1417 - -4468360520. 4468361937 Sum -28695683934.1135 and -4. -28695683938.1135 Put together -0.007688 and -5935.875. -5935.882688 Work out -537 + -1.8117768773. -538.8117768773 What is -0.4 minus -1682435887370? 1682435887369.6 What is the distance between -2388556 and 42595073? 44983629 Add 14 and 163852783534. 163852783548 What is the difference between 1159932556533 and 4? 1159932556529 What is 11.052 - 8.6044598? 2.4475402 What is the distance between -18223 and 3.575169? 18226.575169 Add together 0.66 and 0.1037364276. 0.7637364276 Put together -222100737.91 and 0.5. -222100737.41 What is 738.09 minus 671484646? -671483907.91 Calculate -646307066 + 0.0152. -646307065.9848
Let w = -65/3 - -21. Let l = -0.8 - -0.5. Let g = l + -4.7. Put g, 0.4, w in ascending order. g, w, 0.4 Let y(i) be the first derivative of -7*i**2 - 2*i + 6. Let x be y(-1). Suppose 5*f - 3*w - 14 = 0, -3*f + 6 + 4 = -w. Put f, x, 2 in decreasing order. x, f, 2 Let u = -1103 - -1096. Let d = 6 + -9. Sort d, 0.3, u. u, d, 0.3 Let r(m) = m + 2. Let q be r(5). Suppose 4 = 3*k - q*k. Suppose 0 = -0*g + 5*g + 2*y + 2, 5*y = -5*g + 10. Sort -3, k, g in ascending order. -3, g, k Suppose -426 = 3*w + 2*o - 42, 5*w + 659 = 3*o. Let c = 112782 - 1239174/11. Let d = w + c. Put d, -0.2, -1 in decreasing order. d, -0.2, -1 Suppose 0 = 4*q - m - 55, 10 = -q + m + 4*m. Suppose -3*t - i = -2 + q, 22 = -5*t - 2*i. Put 3, t, 4, 0 in decreasing order. 4, 3, 0, t Suppose 0 = -4*o + 20, 0 = 4*s - 3*o + 13 - 10. Put -8, -21, s, 1 in increasing order. -21, -8, 1, s Suppose -6*o = -7*o + 3. Suppose -o = -3*d + 3. Suppose -14 = -4*q + 4*g + 2, -d*q + 1 = 5*g. Put q, 0.1, -1 in increasing order. -1, 0.1, q Let v = 0.1 - -0.4. Let y(b) = -3*b - 37. Let f be y(-14). Suppose 2*u + 3*s = -15, -s + 0*s = -u + f. Sort u, v, 5 in ascending order. u, v, 5 Suppose 4*o - 3 = 1. Suppose -1013 + 488 = 175*a. Put 3, o, 2, a in decreasing order. 3, 2, o, a Let f be (20/120)/(1 - (-2)/(-6)). Put -1, -0.1, f, 0.9 in descending order. 0.9, f, -0.1, -1 Let q = 5 + -5.3. Let m = -1.52 + -66.48. Let i = 67.91 + m. Sort 0.2, i, q in increasing order. q, i, 0.2 Let h = 137/1008 - -1/144. Let b = -0.4 - -0.5. Sort h, b, 1/5, -5 in descending order. 1/5, h, b, -5 Let m = 3.27 - 2.67. Let d be 2/5 - (-36)/10. Sort m, -1/4, d in decreasing order. d, m, -1/4 Suppose 2*c = -2*c + 5*a + 13, -2*c - 11 = a. Suppose 5*k - 20 = 4*p - 5*p, -16 = -4*p - 4*k. Let s(d) = -d - 2. Let j be s(p). Sort c, 0, j. c, j, 0 Let g = -12 + 12.3. Let h = -303/5 + 61. Sort h, g, -0.3. -0.3, g, h Suppose -6 = 5*g + 3*c - c, -4*g + 6 = -2*c. Sort 10, 2, g, -5 in increasing order. -5, g, 2, 10 Suppose 49*b - 39*b = 30. Suppose a = 3*a - 8. Suppose 4*t = -5*i + a, 0 = t - b*i - 0*i + 16. Sort -1, t, -11 in descending order. -1, t, -11 Suppose -1073*a + 60 = -1067*a. Sort -4, a, 2, 1 in increasing order. -4, 1, 2, a Let g = 0.18 + 9.82. Let j = g - 9.7. Let d = j + 0.4. Sort d, -1/5, 1/9 in increasing order. -1/5, 1/9, d Let b = -5.43 - -2.33. Put b, -0.4, 1, -0.2 in ascending order. b, -0.4, -0.2, 1 Suppose 0 = -25*d + 3 + 72. Put 2, -1, d, 12 in descending order. 12, d, 2, -1 Let u = -0.3 + 0.6. Let z = -5/2 + 11/6. Put 0.1, u, 1, z in descending order. 1, u, 0.1, z Suppose 0 = 6*i + 31 - 61. Let y be (-130)/18 - -2 - (-4)/18. Put 0.3, y, 0.2, i in increasing order. y, 0.2, 0.3, i Suppose 0 = s - 5*s - 4*k - 16, -12 = -s + 3*k. Suppose -5*b + 6 = -9, s = -3*u + b + 24. Sort 0, u, -5. -5, 0, u Let j(l) = l. Let r be j(-2). Suppose -4*s + 28 = -3*y, -13*s = 3*y - 10*s. Put r, -3, y, 2 in descending order. 2, r, -3, y Let m be (-780)/1260 - 4/(-14). Put -0.5, m, 0 in decreasing order. 0, m, -0.5 Suppose -2*g = -a + 150, 0 = 2*g - 3*g + a - 76. Let y = g + 79. Sort y, -1, 0, 3 in ascending order. -1, 0, 3, y Let o = 393 - 398. Put o, 1, -9, -0.3 in descending order. 1, -0.3, o, -9 Let a = 1.76 + -2.16. Sort a, 1/5, 5 in descending order. 5, 1/5, a Let t(w) = w**3 + 8*w**2 - 6*w + 7. Let s be t(-9). Let p be (s/8 + 3)*8. Suppose 0 = 4*h - 4*x - 24, -x - 2*x - 12 = 3*h. Sort h, -2, p in decreasing order. p, h, -2 Let w = 1617 + -1174. Put 4, -2/3, w in descending order. w, 4, -2/3 Let k be (4 + -5 - -8)/(-1). Let i = -16 - -15. Put k, 4, i in ascending order. k, i, 4 Let d be (-330)/(-132)*3/(270/(-8)). Let r = -16 - -18.94. Let o = r - 3. Put o, d, 0 in descending order. 0, o, d Let z(j) = -2*j + 6. Let r = 1 - -4. Let x be z(r). Let a be ((-18)/12)/((-2)/(-4)). Put a, -5, x in decreasing order. a, x, -5 Suppose 5*a + 17 = -s - 2*s, -19 = 3*a + 4*s. Sort -5, 4, -43, a in ascending order. -43, -5, a, 4 Let d be (-1 - 4)*28/(-35). Let j = -30 - -32. Suppose j*g - 6*g + 8*g = 0. Put d, -2, g in increasing order. -2, g, d Let m(c) = c**3 - 17*c**2 + 15*c + 16. Let r be m(16). Let y(b) = r*b**2 + b**3 - 4*b**2 - 5*b + 2*b**2 + 1. Let s be y(3). Put 2, -4, s in decreasing order. 2, -4, s Suppose 2*k + w - 6 = 0, -3 = -w - 1. Suppose 7*r = k*r. Suppose -s - 39*s = 120. Sort 28, s, r in descending order. 28, r, s Let k = -7 - -28. Let h = -24 + k. Suppose -4 = -3*b + 4*b. Sort b, h, -1. b, h, -1 Let x = -215 + 219. Sort x, -14, -3, 0 in ascending order. -14, -3, 0, x Let t = 175 - 158. Let q = -0.26 - 0.04. Sort t, q, -0.4, -2/15. -0.4, q, -2/15, t Let q = 18.4 - 18.6. Sort q, -2, 33, -5 in ascending order. -5, -2, q, 33 Suppose 0 = -2*f + 2 - 0. Let b(g) = g**3 - 5*g**2 + g - 11. Let s be b(5). Sort 4, 2, s, f. s, f, 2, 4 Let j = 0.07 + -1.87. Let i = j + 2.2. Let c = 3 + -3. Put i, c, 3 in decreasing order. 3, i, c Let h = -290 + 289.84. Put -1, -0.14, h in descending order. -0.14, h, -1 Let q = -0.12 + -0.88. Let s be 2/(-8) + 3/12. Sort s, q, 3. q, s, 3 Suppose -b + 2*b = 10. Suppose 0*g = -2*g + b. Suppose 4*r - 3*w - 20 = 0, 3*r - g*r = 5*w + 16. Sort r, -1, 3 in increasing order. -1, r, 3 Let v = 1.7 + -2. Let f(h) = -9*h - 2. Let x be f(2). Let s be (2/(-3))/(x/15). Put -2/3, s, v in descending order. s, v, -2/3 Let l be ((-24)/(-3))/((-1)/(-5)). Let c = l - 39. Sort -5, c, 3 in increasing order. -5, c, 3 Suppose 5*f = 4*n + 4*f + 3, 2*n + 5*f = -7. Put -4, n, -5, 3 in decreasing order. 3, n, -4, -5 Let t = 72 - 101. Let m = t + 37. Put -4, 1/5, m in descending order. m, 1/5, -4 Let a = 1720 - 1723. Put -7, a, -1 in increasing order. -7, a, -1 Let a = -2210 + 2253. Sort 0, a, -3/2 in ascending order. -3/2, 0, a Let o(x) = -11*x**3 + 0*x**2 - 5*x**3 - x**2 + 4 + x + 15*x**3. Let v be o(0). Let p be (4/(-10))/((-1)/(-5)). Sort -8, v, p in decreasing order. v, p, -8 Let w be (-2)/7 + (-96)/(-238). Let u = -1201 + 1201.4. Sort w, u, 0. 0, w, u Let b(h) = 6*h**3 + h**2 - h**3 - 3 - 6*h**3. Let r be b(0). Sort -4, 5, r. -4, r, 5 Let y be 270/2 + 0/(-3). Sort -4, y, -5, 3 in ascending order. -5, -4, 3, y Suppose 218 = 34*w - 564. Put w, 0, -2/7, 1/6 in decreasing order. w, 1/6, 0, -2/7 Let z = -3.1 - 11.3. Let p = -2.4 - z. Let v = p + -11.5. Sort 5, 0.2, v in increasing order. 0.2, v, 5 Let h(b) = b**2 - 4*b - 14. Suppose 3*w - 28 = -w - k, -4*k + 10 = -w. Let f be h(w). Sort -5, f, 1 in increasing order. -5, f, 1 Let z = 73 - 33. Let k = 40.4 - z. Let p = 2.6 + -0.6. Sort 4/5, p, k in descending order. p, 4/5, k Let k = -0.362 - -0.072. Let i = -0.19 - k. Let u be (-2)/1 + 5/3. Sort 1, u, i in ascending order. u, i, 1 Let i = -573.8 - -577. Sort -4, i, 2, -1/3 in decreasing order. i, 2, -1/3, -4 Let p = 141.9 + -141.7. Sort -3/5, 1/30, 1/8, p in ascending order. -3/5, 1/30, 1/8, p Let d = 3/20 - 2/5. Let b be 0/7*1/(-1). Put b, -0.2, d, 8 in descending order. 8, b, -0.2, d Let v be 6*(10/(-6) + 1). Suppose -23 = -2*a - 17. Suppose 3 = a*l - 3*f, 2*f = l - 1 - 2. Sort -3, l, v in increasing order. v, -3, l Suppose -2*v + 5*n = 1, 6*n = 2*n + 4. Put -5, -1, v, 16 in ascending order. -5, -1, v, 16 Let c(s) = -4*s - 21. Let l be c(-6). Suppose 5*x + 4*v = 16, -3*x + l*v - 12 = -0*v. Sort 12, -4, -2, x in increasing order. -4, -2, x, 12 Let f = 1.023 + -0.023. Let b = 29.97 + -32. Let v = 0.03 + b. Sort f, -4, v in ascending order. -4, v, f Suppose 39*f - 41*f - 10 = 0. Sort f, -6, 11 in increasing order. -6, f, 11 Let d be (-21)/(-6) - 5/(15/9). Let n = 5 + -12. Let p = n + 7.3. Put d, 0.2, p in ascending order. 0.2, p, d Suppose -5*v = -r - 4*v, -4*r + 4 = -2*v. Let h be 4/r + 0/4. Let y be 7/(28/(-16)) + h. Sort 2/5, y, -1. y, -1, 2/5 Let k = -398 + 3584/9. Let w = 0.8 - 0.5. Put -0.2, k, w in descending order. w, k, -0.2 Suppose -3*y + o - 2 = 0, 3*o + 1 + 9 = y. Let c be y - (0 + (7 - 5)). Sort c, 2, 0, -3. c, -3, 0, 2 Let c be -11 + 18 + 3*-1. Let y = -28 - -32. Let f(j) = 2*j**3 - 9*j**2 + 3*j + 3. Let d be f(y). Sort 2, c, d in descending order. c, 2, d Let d = -34 + 39. Let b = 19/3 - 7. Put b, -1/8, d in descending order. d, -1/8, b Let w = -207 + 207.4. Sort 3, 0.3, w, -4/11 in increasing order. -4/11, 0.3, w, 3 Let i = 63.05 - 80.6. Let b = i - 0.45. Let k = 17.7 + b. Sort 3, k, -12 in decreasing order. 3, k, -12 Let z = -6 - -5.7. Let a = 263 + -184. Let v = 80 - a. Sort v, -2/5, z in descending order. v, z, -2/5 Let r = 2 - 12. Let v = 8 + r. Sort v, 4, 6 in descending order. 6, 4, v
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Let l = 0.547 - 0.547. What is the biggest value in l, -0.3, -1, -4? l Let a = -0.051 - 13.749. Let t = -17 - a. Let i = 3 + t. What is the second biggest value in -5, i, 0.2? i Let h be (9/(-30))/(189/105). What is the smallest value in 0, -9, h? -9 Let q = 6/29 + -100/203. Let v = 493 + -492.6. Which is the fourth smallest value? (a) v (b) q (c) -3/8 (d) -1/6 a Let t be (-9)/(-27) + (-5)/(-3). Let q be -3*t/((-6)/3). Let a be -2 + q - 12/14. What is the second biggest value in a, -0.5, -1/3? -1/3 Let t = 1210 - 1217. Let k = 2886/19 - 152. Which is the second smallest value? (a) k (b) t (c) -3/8 (d) -2 d Let q = -9.9 - -4.9. Let g = q + 5.5. What is the fourth smallest value in 0.1, g, -4, 0.4? g Let j = 2036 - 2036.9. What is the biggest value in j, 0, -1? 0 Let h = 99 + -100. Which is the third smallest value? (a) 1 (b) h (c) 4.2 c Let h = -12 - -7. Let t = -4696 - -4694.9. What is the second smallest value in h, -1, t? t Let k = 1.8 - 14.8. Let u = -14 - k. Let s = u + -3. Which is the second biggest value? (a) 4 (b) 0.3 (c) s b Let u = 37/91 + 2/91. Let m = 50 + -49. Which is the smallest value? (a) -2/29 (b) m (c) u a Let u = -1279 + 1275. Which is the fourth biggest value? (a) 1 (b) u (c) -2/3 (d) -1/3 b Suppose -4*d - 5*a - 7 = 0, -3*d - 2*d = -a + 16. Let j = -8 - -8.3. What is the second smallest value in j, d, -0.09? -0.09 Let a = 3/298 - -175/12218. Let n = 38/123 + a. Let y = 584 + -585. What is the second smallest value in n, 1, y? n Let o = 45 + -45. Suppose o = d + 6 - 1. What is the fourth biggest value in d, 2, -4, 3? d Let c = -1.53 + -3.51. Let o = -0.5 - -0.46. Let u = o - c. What is the second smallest value in u, -0.7, 1/6? 1/6 Let w = -211 - -1054/5. Which is the second biggest value? (a) 716 (b) 2 (c) -1 (d) w b Let d = 13 - 57. Which is the smallest value? (a) -0.2 (b) 0.4 (c) d c Let n = -35.951 + 36. Let t = -0.349 + n. Let c be 14/3 + 6/18. What is the smallest value in 2, c, t? t Let y = -0.07 + -4.93. Let m = -0.2815 - 0.0185. Which is the smallest value? (a) -0.1 (b) y (c) m b Let u(b) = b**2 - 9*b + 9. Let x be u(6). Let f be (-1 - -2)/(x/603). Let i = f - -467/7. What is the smallest value in -0.8, 0.4, i? -0.8 Let l be 54/(-36) + -1 + -1. Which is the second smallest value? (a) 1 (b) 3 (c) l (d) -3 d Let o = 0.11 + 0. Let h = o + 2.89. Which is the third biggest value? (a) -1/3 (b) h (c) 0.4 (d) 2/17 d Let y = 0.11 + 3.89. Suppose -4*k = 242 + 230. Let o = -121 - k. What is the third smallest value in y, 0.6, o? y Let m be (-15)/(-6) + (1 - 1). Let y = 0.0565 + -0.0565. Which is the second biggest value? (a) m (b) -4 (c) y c Let q = 2146 - 2141. Let p = 0.4 + 1.6. Which is the third smallest value? (a) -1/9 (b) -30 (c) q (d) p d Let l = 0.67 - 1.07. Which is the smallest value? (a) -0.2 (b) 2/5 (c) 0.09 (d) l d Let f be (2 + (-16)/14)*9/(-18). Which is the third smallest value? (a) 19 (b) -0.5 (c) f a Let i = -174 + 171. What is the second smallest value in 7, 2, i, 0? 0 Suppose -7*m = -3*m - 56. Suppose -18 = s - 4*d - 6, 2*d = -4*s + 24. Let t be (-3)/m*s/(-3). Which is the biggest value? (a) -0.3 (b) -5 (c) t c Let z be -3*-2*(-2)/(-12). Let m be -1*-2*z/(-6). Let k = -14.1 + 14.4. Which is the smallest value? (a) m (b) -1/4 (c) k a Let z be (-2)/(-6) - (-111012)/306. Let d = z + -363. Let o = -0.5 - -0.3. Which is the second biggest value? (a) 5 (b) d (c) o b Let r(k) = -16*k**3 + 26*k**3 + 4*k - 5*k**2 - 9*k**3. Let p be r(4). Let t be (10/15)/(3 - p). What is the third biggest value in 0.4, t, -4? -4 Let r be 2/(-4) + 8412/26. Let v = r - 323. Let g = -71/182 - v. Which is the third biggest value? (a) -0.4 (b) g (c) -5 c Let y be ((-4)/10)/((-28)/70). Suppose 0 = -6*j + j. Suppose j = -g - 2*g. Which is the second smallest value? (a) y (b) -6/5 (c) g c Let t = -271 - -639. What is the second biggest value in 4, t, 2/7? 4 Let g = 73 + 51. Let j = g - 124.01. Which is the second biggest value? (a) 2/9 (b) -2 (c) j c Let h be (-202)/18 - 28/(-126). Suppose -39 = 4*v + 9*v. Which is the smallest value? (a) v (b) -2/5 (c) h c Suppose 5*s + 8 = 43. Let k be (12/(-24))/(s/(-6)). Which is the third smallest value? (a) -5 (b) k (c) 6 c Let w(s) = -s**3 - s + 1. Let r be w(1). Let d = -480 - -481. What is the third biggest value in d, -0.4, r? r Let h = 179 - 178.2. Which is the second smallest value? (a) -12 (b) 5 (c) h c Let d be 1/(-1 + 6/5). Let w = -0.054 - 0.246. Let j = -2.7 + w. What is the second biggest value in j, 3, d? 3 Let p = -28.7 + 27. Let w = p + 6.7. Let y = 3.08 + -0.08. Which is the third smallest value? (a) w (b) y (c) -4/5 a Let d = 5.1 - 5. Suppose z + 5 = -1. Let g(q) = q**3 + 6*q**2 - q - 11. Let i be g(z). What is the second biggest value in 2/3, i, d? d Let w = 2.99 + -3.29. Which is the second biggest value? (a) -1 (b) w (c) 3 (d) -3/8 b Let f be (10/60)/(2/24). What is the second smallest value in -6/7, f, 0.11? 0.11 Let m = -44.4 - 0.6. Let q = m - -50. Which is the third smallest value? (a) 3/7 (b) -2/11 (c) -3 (d) q a Let f = 189.4 + -208. Let h = -19 - f. Let u = -19/24 + 9/8. What is the biggest value in h, 2, u? 2 Let j = 2.85902 - -0.14098. Suppose -5*l - 26 = q, 0*l - 15 = 3*l. What is the biggest value in q, -4/3, 1/6, j? j Let f = -190 - -192. What is the second biggest value in f, 0.03, 3, 0.7? f Let t = 8 - 4. Let q = -6/337 - 644/1685. Which is the fourth smallest value? (a) t (b) 1/5 (c) q (d) 0.3 a Let s = 0.118 + 0.082. What is the biggest value in s, 1.3, -6? 1.3 Let v = 1.929 - 0.029. Which is the second biggest value? (a) 4 (b) v (c) -5 b Let q = 25 - 26. Which is the second biggest value? (a) -0.3 (b) 0.5 (c) 0.033 (d) q c Let a = -0.098 - -5.098. What is the second biggest value in a, -8, 0.3? 0.3 Suppose -2*y - 5 = -33. Let f be (-6)/(-15) + y/(-10). Suppose -5*g + 10*g = 25. Which is the second biggest value? (a) -0.01 (b) g (c) f a Let z = -61.029 + 0.029. Let k = z - -58. What is the third biggest value in 4, 1/2, k? k Let w = -0.7 + 0.41. Let m = 0.21 - w. Suppose 2*s + 2 = -2*s - 2*x, -5*x + 10 = 5*s. Which is the third smallest value? (a) m (b) s (c) 0.1 a Let p = -61.77 + 62. Let q = -0.13 + p. Let o = 3 - 4. What is the biggest value in q, o, -0.08? q Let o = 0.6 - 2.6. Let n = -1543/18 - -171/2. Let z = -61 - -303/5. What is the second biggest value in z, o, n? z Let m = -1.143 - -0.643. What is the second biggest value in 0.31, 0.4, 1, m? 0.4 Let g be 1 + -4*2/9. Let v = -0.17 - -9.27. Let d = -6.1 + v. What is the smallest value in d, -3, g? -3 Let z = -3/19 - 51/38. Let j = 1.2 + -2.2. Let h = 0 - j. Which is the second smallest value? (a) h (b) -1 (c) z b Let g be (-3 + (-105)/15)*(-2)/(-4). Which is the fourth smallest value? (a) g (b) -4 (c) -33 (d) -1 d Let i = -19.5 - -19.5. Let p = 11 - -3. Let y be (-23)/p*-2 + -3. What is the second smallest value in i, y, -7? i Let l be 7/84*-20 + (-64)/(-42). What is the smallest value in 2/135, l, 5? l Let p = 1035 + -1035.43. What is the smallest value in 3, -1, p? -1 Let k(r) = -67*r. Let n be k(2). Let q = -1476/11 - n. Which is the second biggest value? (a) q (b) -0.5 (c) 4 a Let x = 15.9 - 1.9. Let n = -4 + x. Let h be 4/20 + 2/20*442/(-136). Which is the third biggest value? (a) 3 (b) n (c) h c Let s = -1.49 - -61.49. Let v = s - 60.4. What is the second biggest value in v, 1, -0.26? -0.26 Let g = -447/22 + 41/2. What is the biggest value in -5, 4, g? 4 Let k = 125 - 118. Which is the third smallest value? (a) 5/3 (b) -3 (c) -1/6 (d) k a Let s = 27.9 + -23.9. What is the fourth biggest value in s, 45/7, -3, 0? -3 Let k be 21/(2/4 + 1). Which is the fourth biggest value? (a) k (b) -5 (c) 5 (d) -4 b Suppose 0*l + 45 = 3*l. Suppose 4*w = 12, -4*o + 41 + l = 4*w. Which is the second biggest value? (a) o (b) 4/5 (c) 0.2 b Let p = 41473/330 + -377/3. Let k = 31703191/137054610 + -2/415317. Let n = p - k. Which is the second smallest value? (a) n (b) 2/15 (c) 0.5 b Let t = 0.39 + 0.01. Let h = 6053/3 + -2018. Which is the smallest value? (a) h (b) t (c) 2 (d) -0.3 a Let h(y) = -5*y - 9. Let u be h(3). Let w = u + 24. Suppose l + 1 = -w*l. Which is the second smallest value? (a) 0.8 (b) l (c) -1/5 c Let g = 28/3 - 9. Let l = 787 - 786. Which is the second smallest value? (a) -0.3 (b) l (c) g (d) 0.3 d Let x = 91/132 + -1/44. Suppose 0 = -9*v + 36*v + 324. Which is the smallest value? (a) 3/5 (b) -4 (c) x (d) v d
Let t be (-46)/11 - -8*2/88. Let a(m) = 2*m**2 + m - 15. Let q be a(t). Calculate the greatest common factor of q and 377. 13 Suppose 3*c = -15, -4*u + 4*c - 20 = -124. What is the greatest common divisor of 5355 and u? 21 Let f be (-216240)/(-595) - 9/21. What is the highest common divisor of 55 and f? 11 Let v be ((-16)/(-5))/(1/20). Suppose 0 = 2*y - 177 - 27. Suppose -10*l = 22 - y. Calculate the highest common divisor of l and v. 8 Let c be 38188*(-16)/(-384) - (-8)/(-48). Calculate the greatest common divisor of 731 and c. 43 Suppose 0 = 2*w + 8, -14 = 91*z - 92*z - w. What is the greatest common divisor of 150 and z? 6 Let d(v) = 358*v + 234. Let z be d(7). Let h = z + -1557. What is the highest common divisor of 13 and h? 13 Let r = -19 + 35. Let s = -136 + 154. Let o = s - r. Calculate the highest common divisor of o and 2. 2 Suppose -3*g - 126 = -6. Let f be g/24*(-6)/5. Suppose o = -f*o + 30. Calculate the highest common factor of 160 and o. 10 Let u be 4 + (125 - (-27 - -11)). What is the highest common factor of u and 1653? 29 Suppose 0 = 39*c + 1270 - 2117 - 1805. Calculate the highest common divisor of c and 289. 17 Let w(d) = -3*d**2 + 9 + 950*d - 936*d + 2*d**2. Let p be w(14). Calculate the greatest common divisor of 81 and p. 9 Let c(k) = -2*k**3 + 39*k**2 + 15*k + 108. Let b be c(20). Calculate the highest common factor of b and 520. 8 Suppose 0 = -4*k - 3*o - 92, -20 + 0 = 5*o. Let g be (k/4)/(15/(-36)). What is the highest common factor of 33 and g? 3 Let y(b) = 672*b + 4068. Let v be y(-6). Calculate the highest common divisor of v and 13230. 18 Let b = -9231 + 9286. Calculate the highest common factor of b and 60. 5 Let y(p) = 21*p - 239. Let s be y(13). Suppose -30 = -s*a + 28*a. What is the greatest common divisor of 23 and a? 1 Suppose -12 + 16 = -z. Let h be z + (3 + -3 - 19). Let u(r) = -r**3 - 24*r**2 - 27*r - 8. Let y be u(h). What is the highest common divisor of y and 24? 12 Let l = -2372 + 2572. Calculate the greatest common divisor of 1950 and l. 50 Suppose l + 3 = 0, b - 2*l = -4*l - 2. Suppose 8 = -b*k + 32. Calculate the greatest common factor of k and 27. 3 Let j be (-9)/3 + 1 - -13. Let p be (2/(-4) + 0)*0. Suppose 2*y + q = 19, y - 3*q - 7 - 13 = p. Calculate the highest common factor of y and j. 11 Suppose 247 + 1232 = 204*l + 255. Calculate the highest common factor of 252 and l. 6 Suppose 0 = -14*b - 4*b + 8352. Calculate the highest common divisor of 376 and b. 8 Suppose 5*i + 5*l - 766 = -246, i + 4*l = 116. Let z = -37 - 11. Let m be z/(-5) - (-28)/70. What is the highest common factor of i and m? 10 Let i be (-21 - 176/(-8))/((-3594)/1798 - -2). Calculate the greatest common factor of i and 124. 31 Suppose 16*z = 7*z - 378. Let x be (-24)/(-14) - (96/z - -2). Suppose x*d - 5*y + 13 = 84, -5*d + 3*y + 225 = 0. What is the highest common divisor of 32 and d? 16 Let g be (0 + (70 - -2))*88/32. What is the highest common factor of 306 and g? 18 Let z(q) = -3*q**2 - 2*q + 3*q - 5 - 3*q - q**3 - 4*q. Let g be z(-2). Suppose g*r + r = 80. What is the greatest common divisor of 160 and r? 20 Let a(d) = -4*d**3 + 3*d**2 - 6*d - 13. Let j be a(4). Let h = -211 - j. What is the greatest common factor of 34 and h? 34 Let y(x) = -3*x**3 - 2*x**2 + x + 6. Let h be y(-2). Suppose 14*b = 106 + h. Suppose 0 = z - 17 - b. What is the greatest common divisor of z and 13? 13 Let c(t) = 103*t - 6241. Let w be c(61). Calculate the greatest common factor of 9429 and w. 21 Let c be (5425/50 + -13)*258. Calculate the highest common divisor of c and 129. 129 Suppose -2*c + z + 335 = 2*c, 0 = -c - z + 85. Let x be (-1163 + -1)/(-61 + 62). Let k be x/132 - -9 - (-2768)/22. What is the highest common factor of c and k? 42 Suppose 3*m - 2*o - 320 = 0, -4*m = 9*o - 6*o - 455. Suppose 0 = -107*h + m*h - 12. Calculate the greatest common factor of h and 12. 4 Suppose -r + 279 = -3*y, -10*y + 1095 = 4*r - 15*y. What is the greatest common factor of 567 and r? 27 Let u = 5703 - 5699. Let l be (-4)/(-14) - 306/(-7). Suppose 0*c - 16 = -s - c, u*s - c = l. What is the greatest common divisor of s and 20? 4 Let r(v) = 50*v - 1274. Let t be r(35). Calculate the greatest common divisor of 28 and t. 28 Let q(p) = -143*p + 3744. Let s be q(16). Calculate the greatest common divisor of s and 4186. 182 Let x be ((-8)/(-6))/(164/(-861)) - -172. What is the highest common divisor of x and 4125? 165 Let t be (-1100)/140 - 48/42. Let b(f) be the first derivative of f**3/3 + 9*f**2/2 + 21*f - 1. Let z be b(t). What is the greatest common factor of 42 and z? 21 Suppose 4*x - 1 = 2*d + 1, -5*d - 4*x = -23. Suppose -23*c = 3*o - 20*c - 1692, -4*o + d*c = -2228. Calculate the highest common factor of 35 and o. 35 Let g = -182 + 206. Let m be g/(-14)*((-100)/(-10) - 87). What is the greatest common factor of m and 165? 33 Let o = 3188 + -4868. Let z be (288/(-20))/(3 - (-5058)/o). Calculate the highest common factor of 21 and z. 21 Let g be (-6)/15 + (-2548)/(-20) + -7. What is the highest common factor of g and 850? 10 Let q(u) = 24*u - 479. Let g be q(35). Let h = g - 316. Let m be ((-10)/(-8))/(2/8). What is the greatest common factor of m and h? 5 Suppose 3 = 2*f - c - 68, 3*f = -5*c + 74. What is the highest common factor of 2838 and f? 33 Let c(s) = -8*s + 3. Let h be c(3). Let t be 3 + h/15 + (-2)/(-5). Let p(n) = -n + 1. Let a be p(0). Calculate the highest common divisor of t and a. 1 Let d be 9*((-2)/6 - -2). Let q(a) = -33*a - 93. Let y be -1 - (2 + (8 - 5)). Let m be q(y). Calculate the greatest common divisor of d and m. 15 Suppose -4*a = 4*r - 236, -71*a + 74*a + 6 = 0. Calculate the highest common divisor of 976 and r. 61 Suppose 0 = -3*b + 3*t + 11214, -4*b - 109*t + 14958 = -110*t. Calculate the greatest common factor of 1020 and b. 340 Let b be 11064/96 + (-12 + 6)/24. What is the highest common divisor of b and 713? 23 Let u = -39 - -47. Suppose 3*b - 13 = -2*d, b - 34 = -2*d - 19. What is the highest common factor of u and d? 8 Let b = 62 + -59. Let s(q) be the second derivative of q**4/6 - 5*q**3/6 + q**2 - 9*q. Let p be s(b). Calculate the highest common divisor of p and 25. 5 Let a be ((-252)/33)/7*4653/(-94). Calculate the highest common factor of a and 3222. 18 Let z(y) = -9*y + 166. Let h be z(8). What is the highest common factor of 423 and h? 47 Let h(c) = 2*c**2 - 8*c - 3. Let u be h(4). Let n be (-55)/1 + u + 0. Let i = -13 - n. What is the highest common factor of i and 18? 9 Let w(s) = 119*s**2 - 688*s + 15. Let p be w(6). Calculate the highest common divisor of p and 2817. 9 Suppose 511*g - 15596779 = 8447304. What is the greatest common factor of g and 223? 223 Let l(h) be the third derivative of 23*h**5/60 - h**4/8 + h**3/6 - 7*h**2. Let r be l(-1). Suppose 5*a - 13 = r. What is the highest common divisor of a and 8? 8 Let u(v) = -12*v. Let g(c) = c**2 - 15*c + 49. Let n be g(6). Let s be u(n). Calculate the highest common factor of s and 96. 12 Let a be -4 + (-1 + 5 - 2 - -314*1). Calculate the highest common divisor of 18 and a. 6 Let c = -392 + 740. What is the highest common divisor of 108 and c? 12 Let n(y) = -591*y + 2502. Let d be n(4). What is the greatest common factor of 2944 and d? 46 Let d be 3/2*-2 + 55 + -34. Suppose 0 = -16*i - d*i + 1156. What is the greatest common factor of 442 and i? 34 Let u(d) = 31 + 29 - 7 + 5*d + 46 + 32*d. Let p be u(4). Calculate the highest common divisor of 19 and p. 19 Let z(v) = 19*v**3 - 4*v**2 - 120*v + 358. Let w be z(3). Calculate the greatest common divisor of 425 and w. 25 Suppose -81 + 71 = -5*c. Suppose -2*u = 3*j - 31, -2*u + c*j = 2 - 18. What is the highest common factor of u and 143? 11 Let k(i) = 39*i**3 - 4*i + 5. Let u be k(1). Calculate the highest common divisor of 4360 and u. 40 Let k be (-4)/(-3)*(-153)/(-68). Suppose -3*g + 2820 = k*z, 5*g - 4399 - 293 = -3*z. Calculate the greatest common divisor of 72 and g. 72 Suppose 2*c + 2*h = -133 + 33, -c = 5*h + 62. Let u = c + 94. Calculate the highest common divisor of 188 and u. 47 Suppose -3*r = i + 11, r - 4*i + 0*i + 21 = 0. Let d(z) = -3*z - 5. Let p be d(r). Let o be 21/12*4 - (-2 - 41). What is the greatest common divisor of p and o? 10 Suppose 9*o - 11*o + 3480 = -3*u, -4*o + 6980 = 4*u. Calculate the greatest common factor of 21 and o. 21 Let j = -12323 - -20803. What is the greatest common divisor of 160 and j? 160 Let x = 10202 - 9789. What is the greatest common factor of x and 35? 7
Collect the terms in 401*a - 192*a - 43*a - 170*a. -4*a Collect the terms in -45 - 3 + 72*b - 16*b**2 - 51 + 13*b**2 + 99. -3*b**2 + 72*b Collect the terms in -666 + 1275 + 11*d - 2*d**3 - 609 + 48*d**2. -2*d**3 + 48*d**2 + 11*d Collect the terms in -9936 - 8658*a + 8662*a - 10572. 4*a - 20508 Collect the terms in -2*o**2 - 224*o - 76*o - 267*o. -2*o**2 - 567*o Collect the terms in -1071*j**3 - 5226*j**3 + 6309*j**3. 12*j**3 Collect the terms in 8*d - 6312*d**2 - 8*d + 67 + 6336*d**2. 24*d**2 + 67 Collect the terms in -1480375931 + 15*j**2 - 4*j**2 + 1480375931. 11*j**2 Collect the terms in 5*r + 21018799*r**3 - 21020033*r**3 - 5*r. -1234*r**3 Collect the terms in 43109*j**3 + 11*j - 45489*j**3 - 11*j. -2380*j**3 Collect the terms in -2396382*l**3 - 2396375*l**3 - 2396372*l**3 + 7189103*l**3. -26*l**3 Collect the terms in -5639 + 1169 + 10*b + 3304 + 1166. 10*b Collect the terms in 33 - 32719*q - 5528*q - 16 - 17. -38247*q Collect the terms in 23 - 17 + 416*y - 383*y. 33*y + 6 Collect the terms in -2456874310770*z + 2456874310770*z - 2*z**3. -2*z**3 Collect the terms in -12 - 19378*y - 8 + 28 - 8. -19378*y Collect the terms in -69923 + 26826 + 1078*z - 1077*z. z - 43097 Collect the terms in -36*z + 559212 - 14*z - 1118428 + 559215 + 4*z. -46*z - 1 Collect the terms in 2067996*a + 2068023*a + 2068012*a - 6204012*a. 19*a Collect the terms in 1290*h**3 + 1503*h**3 - 4383*h**3 + 1311*h**3. -279*h**3 Collect the terms in 348427*t**2 - 3*t + 3*t + 414758*t**2. 763185*t**2 Collect the terms in -5986*z - 1590*z + 1942*z - 161. -5634*z - 161 Collect the terms in -10341893059*j**3 + 0*j - 3*j + 3*j + 10341893061*j**3. 2*j**3 Collect the terms in -13188 + 13188 - 36110*m. -36110*m Collect the terms in -439260*x**2 - 439302*x**2 + 878674*x**2. 112*x**2 Collect the terms in 67267943*o**3 - 4*o - 67267933*o**3 + 4*o. 10*o**3 Collect the terms in -11*h**2 + h**3 + 119 + 27*h**2 + 8*h**2 - 13*h**2 - 11*h**2. h**3 + 119 Collect the terms in 3424 + 3323 + 26*i - 6747. 26*i Collect the terms in -1911*z + 476*z + 481*z + 475*z + 473*z. -6*z Collect the terms in -1594 + 1594 + 26770*h**2. 26770*h**2 Collect the terms in -13*f**3 - 1146*f**3 - 219*f**3. -1378*f**3 Collect the terms in 6*f - 67880272328247 + 67880272328247. 6*f Collect the terms in -3 - 12973*f - 9 + 12973*f + 1078*f**3. 1078*f**3 - 12 Collect the terms in -1314*h**3 - 1308*h**3 + 3922*h**3 - 17 - 1302*h**3 + 17. -2*h**3 Collect the terms in 11 - 713*u**3 + 136*u**3 - 2*u**2 - 12. -577*u**3 - 2*u**2 - 1 Collect the terms in -12*j**2 - 3935 + 10*j**2 + 3935 - 2879*j. -2*j**2 - 2879*j Collect the terms in 73924*p - 1255*p**3 - 36958*p - 36964*p. -1255*p**3 + 2*p Collect the terms in 969*l**3 + 3*l**2 - 1014*l**3 - 7 + 94*l - 3*l**2. -45*l**3 + 94*l - 7 Collect the terms in -589*n**2 - 645*n**2 - 584*n**2 + 3108*n**2 - 623*n**2 - 589*n**2. 78*n**2 Collect the terms in -2245*d**3 + 3448*d**3 - 2*d**2 + 17215*d**3 + 33468*d**3. 51886*d**3 - 2*d**2 Collect the terms in 4*i**3 - 10*i**3 - 90314*i**2 + 90314*i**2. -6*i**3 Collect the terms in 1409 + 27416*b**2 + 2937*b**2 - 1409 + 5011*b**2. 35364*b**2 Collect the terms in -15 - 700*o - 408*o - 15 + 127*o + 15. -981*o - 15 Collect the terms in 0*l - 50*l - 21*l**3 + 52*l - 4*l. -21*l**3 - 2*l Collect the terms in -114193603*b + 3 - 3 + 114193430*b. -173*b Collect the terms in 21 - 21 + 454*w + 2501*w - 4278*w. -1323*w Collect the terms in -2641*c**3 + 621*c**3 + 764*c**3 + 615*c**3 + 619*c**3. -22*c**3 Collect the terms in 1223*m**2 + 1209*m**2 - 2464*m**2 - m + m. -32*m**2 Collect the terms in -30229*d**2 - 21359*d**2 + 2*d - 10365*d**2 - 2*d. -61953*d**2 Collect the terms in -1364 + 588 + 283*g + 776. 283*g Collect the terms in 2370 - 2379 - 144*o - 81*o. -225*o - 9 Collect the terms in -243 + 390*t**2 - 389*t**2 - 1275*t + 1275*t. t**2 - 243 Collect the terms in -19*i - 21*i - 21*i + 12*i + 18*i - 19*i + 2*i**2. 2*i**2 - 50*i Collect the terms in 77268547*u**3 + 3*u - 77268352*u**3 - 3*u. 195*u**3 Collect the terms in -3*l - 2479508 + 3*l - 2*l + 2473686. -2*l - 5822 Collect the terms in -42*i - 36*i + 99 + 11*i - 11. -67*i + 88 Collect the terms in -21292*v**3 - 21415*v**3 - 21164*v**3 + 63678*v**3. -193*v**3 Collect the terms in -4*t - 4*t + 7*t - 5*t + 0*t - 42*t + 12*t. -36*t Collect the terms in -26*o**2 + 7765664*o - 7765664*o. -26*o**2 Collect the terms in 297540*f + f**3 - 297540*f + 81*f**2. f**3 + 81*f**2 Collect the terms in 107*j - 18*j + 17*j**2 + 35*j + 87*j - 4*j**2. 13*j**2 + 211*j Collect the terms in 457*p**2 + 516*p**2 - 4306 + 4306. 973*p**2 Collect the terms in -801268 + 2403813 - 2*y**2 + 4*y**2 - 801276 - 801269. 2*y**2 Collect the terms in 1594671*l - 4 + 1594680*l + 4 - 3189380*l. -29*l Collect the terms in -75*a - 68*a - 77*a + 451*a - 76*a - 74*a - 86*a. -5*a Collect the terms in -3546*r**2 + 12731*r**2 + 1 - 1 + 7726*r**2 - 2066*r**2. 14845*r**2 Collect the terms in -156*k - 126*k + 1 - 288*k - 154*k + k + 72*k. -651*k + 1 Collect the terms in -7*m + 5*m + 2*m + 428832*m**2. 428832*m**2 Collect the terms in 22512*o - 12694*o - 9815*o. 3*o Collect the terms in 8*q + 12*q + 6*q - 73*q + 25*q + 18*q. -4*q Collect the terms in -12194*b - 137*b**3 + 6090*b + 6104*b. -137*b**3 Collect the terms in 15*h + 212*h - 110*h**2 - 227*h. -110*h**2 Collect the terms in -4522262*n**2 - 4522260*n**2 + 4*n - 4522268*n**2 + 18089053*n**2 - 4*n - 4522265*n**2. -2*n**2 Collect the terms in -361*s + 765*s + 3 + 0 + 0 - 2 - 375*s. 29*s + 1 Collect the terms in -141*f + 389*f - 2 - 96*f - 48*f + 2 - 1. 104*f - 1 Collect the terms in -633275*d**3 + 316452*d**3 + 316827*d**3. 4*d**3 Collect the terms in -119*h**2 - 129*h**2 - 107*h**2 - 106*h**2 - 110*h**2 + 577*h**2. 6*h**2 Collect the terms in -209*z - 27*z - 3 + 17*z**2 - 5*z**2. 12*z**2 - 236*z - 3 Collect the terms in 9697*i - 3776*i + 10752*i. 16673*i Collect the terms in 659*y - 20*y**2 - 3*y**2 + 20*y**2. -3*y**2 + 659*y Collect the terms in 963*p**2 + 663*p + 67 - 265*p**2 + 118*p**2 - 665*p. 816*p**2 - 2*p + 67 Collect the terms in 714*a + 1138*a - 18 + 18 - 288*a - 191*a. 1373*a Collect the terms in -1 - 784*b**2 - 45*b + 812*b**2 + 5*b. 28*b**2 - 40*b - 1 Collect the terms in -266*c**2 + 453*c**2 - 34*c**2 + 277*c**2 + 326*c**2. 756*c**2 Collect the terms in 23 + 17*n + 27*n**2 + 18*n**2 - 7*n**2 + 12*n**2. 50*n**2 + 17*n + 23 Collect the terms in 21*g**3 - 462 + 150 + 154 + 50*g**3 + 158. 71*g**3 Collect the terms in -54662*s + 110784*s + 122717*s. 178839*s Collect the terms in 88938*w - 44453*w - 44463*w + 4*w**2 + w**2. 5*w**2 + 22*w Collect the terms in -432*x**2 + 1 - 18928*x**2 + 0 - 43878*x**2. -63238*x**2 + 1 Collect the terms in 454 - f + 400 + 450 + 458 - 2221 + 459. -f Collect the terms in 22*m**2 - 60*m**2 - 363*m**2 - 47*m**2 - 105*m**2. -553*m**2 Collect the terms in -2 + 9*g + g**2 - 2 + 25*g**2 - 35*g**2 + 61*g. -9*g**2 + 70*g - 4 Collect the terms in -21*q - 56358347 - 56358345 + 112716692. -21*q Collect the terms in -61 + 11*q**2 + 91 + 4*q**3 + 168. 4*q**3 + 11*q**2 + 198 Collect the terms in -5159*u + 9212*u + 15979*u. 20032*u Collect the terms in 269*p + 221*p + 5*p**2 - 2*p**2 + 178*p + 136*p - 480*p. 3*p**2 + 324*p Collect the terms in 1040559*p + 1691552*p + 1257220*p - 963736*p. 3025595*p Collect the terms in 347*a - 2762 + 5521 - 345*a - 2772. 2*a - 13 Collect the terms in 24*j + 15 + 67*j + 33*j - 173*j - 15. -49*j Collect the terms in g**3 + 31*g**2 - 11 + 30*g**2 - 63*g**2 + 34 - 141. g**3 - 2*g**2 - 118 Collect the terms in 4712*v + 545 - 2353*v + 848 - 2358*v. v + 1393 Collect the terms in -5486*c**2 - 6924*c**2 + 12411*c**2. c**2 Collect the terms in -257133*v**3 + 771407*v**3 - 257136*v**3 - 257130*v**3. 8*v**3 Collect the terms in 527*t - 264*t - 255*t + 5*t. 13*t Collect the terms in 94316 - 94316 - 365*c. -365*c Collect the terms in -164 - 21 - 15*i**2 - 265 - 574 + 135. -15*i**2 - 889 Collect the terms in 1332*f**2 - 457*f**2 - 464*f**2 - 411*f**2 - 16*f**3. -16*f**3 Collect the terms in -r - 59*r**2 + r + 60*r**2 - 2*r + 1606. r**2 - 2*r + 1606 Collect the terms in -30214401 + 30214401 + 14*x. 14*x Collect the terms in 0 + 1 - 1 - 3385363*w. -3385363*w Collect the terms in z + 11*z**3 - 13*z**3 + 113*z**2 + z - 63*z**2 - 60*z**2. -2*z**3 - 10*z**2 + 2*z Collect the terms in 2 + 2509*j**2 + 2426*j**2 + 1 - 4783*j**2 - 3. 152*j**2 Collect the terms in 28336 - 11*g**2 - 56680 - 7*g**2 + 28344. -18*g**2 Collect the terms in -2603*t**2 - 2625*t**2 - 2604*t**2 - 2620*t**2 - 2627*t**2 + 13024*t**2. -55*t**2
Let l be 1 - -2 - (-3 + 3). Let h be -4 + l - 3/6. What is the third biggest value in -1, h, -4, -0.2? h Let f = 958 + -957.8. Which is the third smallest value? (a) -0.5 (b) 57 (c) f (d) -4 c Let g = 42 + -158. Let w = g + 138. What is the smallest value in -5, 3, w, -2? -5 Let d = -7/52 - -5/13. Let i be (132/63 - 2)/(4/(-6)). What is the third smallest value in 1, 0, d, i? d Let p = -369.9 + 334. Let h = p - -35. Which is the second biggest value? (a) -5 (b) -2 (c) h b Let q = -5.9 - -3.9. Let s = q - -1.7. What is the second smallest value in s, 2/3, 2/5? 2/5 Let l be (1 + 5/(-6))*8/6. Let m = -17/45 - l. Let j = 115/87 + 10/29. Which is the second smallest value? (a) -0.5 (b) j (c) m a Let r = -1.5 - -1. Let j = -781 - -792. Which is the biggest value? (a) j (b) -0.3 (c) r (d) -1/3 a Let w(y) = -5*y**2 - 8*y - 7. Let k be w(-1). What is the second biggest value in 1, -6, k, -0.1? -0.1 Let g = -103 + 104. Let v(w) = -w**3 + 6*w**2 - 2*w + 7. Let f be v(6). Let n = g + f. Which is the third smallest value? (a) n (b) -0.7 (c) -3 b Let h = 1219.3 + -1219. What is the third biggest value in 0, h, 6? 0 Let g = -0.212 - -2.212. What is the smallest value in g, -1/3, 2/21? -1/3 Let j = 255.6 - 256. What is the biggest value in -3, j, -15/2, 2? 2 Let q = -0.1 - -1.1. Which is the third smallest value? (a) -0.5 (b) q (c) 4 (d) -0.4 b Let c(s) = -16*s - 12. Let w be c(-3). What is the fourth biggest value in 0.3, -0.2, -0.4, w? -0.4 Let z = -157 - -2353/15. Which is the fourth smallest value? (a) -2/11 (b) z (c) -3/4 (d) -1 b Let f be ((-3)/6)/(1/10). Let y = 0.88 + 0.12. Suppose 49*d - 48*d + 1 = 0. Which is the biggest value? (a) d (b) f (c) y c Let i = 21.01 + -20.51. Let b(a) = a**3 + 6*a**2 + a. Let s be b(-6). Let m be s/4*(-4)/10. What is the third smallest value in m, -0.2, i? m Let n = -2827 + 2842. Which is the biggest value? (a) -0.4 (b) n (c) 11 b Let g(w) = -w**2 - 3*w - 5. Let c be g(-3). Let u(r) = -2*r**3 - 19*r**2 + 10*r. Let l be u(-10). What is the third biggest value in 2, -1/6, c, l? -1/6 Suppose -58*a = -57*a + 202. What is the second biggest value in 1, -0.2, a? -0.2 Let n = -3.04 + 2.74. Let t = 6193/60 - 351/20. Let w = 85 - t. Which is the smallest value? (a) -3 (b) n (c) w a Suppose 3*x = -5*f - 5, -5*f + 3*x = 7*x. Let b be (3/(18/8))/(f/(-6)). What is the smallest value in -1/4, -5, -0.3, b? -5 Let q = 72 - 132. Let m be (1/(-3))/(5/q). Let v = 4.4 - -0.6. Which is the second smallest value? (a) v (b) m (c) -0.4 b Let t(s) = s**3 + 8*s**2 + 6*s - 3. Let x be t(-7). Let v = 0.007 + -6.307. Let w = v - -6. What is the second smallest value in w, 2/7, x? 2/7 Let m = 1 + -0.6. Let u = -1.4 - -0.7. Let v = -0.339 - -2.339. What is the third biggest value in m, v, u? u Let d = 1.06 + -1.49. Let v = d - 4.57. What is the biggest value in -1, 2/7, v? 2/7 Let s = -246 - -215. Which is the third biggest value? (a) -2 (b) s (c) 0.4 b Let f = 347 - 346. What is the third smallest value in f, 112, 0.5? 112 Let u = 2.68 + -3.68. What is the third smallest value in -0.3, u, -2/5, 0.5? -0.3 Let o = 0.8 - 1. Let m be (-247)/(-133) + (-4)/(-28). Which is the third smallest value? (a) m (b) -4 (c) o a Let p be 8*((-33)/(-165) + 7/(-10)). What is the smallest value in 29, p, -2/11? p Suppose 5*p = 2*g - 14, 2*g + p - 2 + 0 = 0. Suppose -4*l + 2 = -g*l. Let s = 0.2 - -0.1. Which is the second smallest value? (a) s (b) l (c) 3 b Let x = -0.14 - -8.14. Let v = x - 8.5. Let j = -34.1 + 34. What is the second biggest value in 1.6, v, j? j Let m = 75/8 - 359/40. Let h = 3193 + -3198. Which is the second biggest value? (a) h (b) -1 (c) m (d) 3 c Let a = 7 - 11. Let k(r) = r**3 + 5*r**2 + r + 2. Let q be k(-5). Let w be q/(-1) + 54/(-15). What is the smallest value in 3/4, a, w? a Let g = 0.146 + 0.744. Let s = -0.01 - g. Let x be (-4 - (-138)/35)*5. Which is the smallest value? (a) s (b) -3 (c) x b Let p = 9859.99 + -9860. Suppose -2*s + 8 = -5*v - 18, 4*s - 28 = 4*v. What is the third smallest value in v, -1, -0.2, p? -0.2 Let x = 23.1 + -23. Let l = -33.1 + x. Let q = -32 - l. Which is the second smallest value? (a) -2/5 (b) q (c) 5 b Let g = -1.479 + 1.279. Which is the second smallest value? (a) g (b) -19 (c) 2/7 (d) -2 d Let h = 5 - 1. Let r(v) = v**3 + 3*v**2 - 4*v + 2. Let q be r(-4). What is the fourth smallest value in h, 1/2, -1, q? h Let w be ((-12)/14)/(104/182). Which is the second smallest value? (a) w (b) 1.3 (c) 1/2 (d) -3 a Let p = 190 - 197. Which is the third biggest value? (a) p (b) 1/9 (c) 0 a Let k = 1258 - 28928/23. Let g be 10/(-3)*(-1)/46. Let v = g + k. What is the biggest value in v, 1, 0? 1 Let k(x) = -x**3 + 11*x**2 + 13*x. Let v be k(-1). Which is the third biggest value? (a) 0.2 (b) -1/4 (c) v (d) -0.048 b Let h = 3.2 + 2.8. Let y = 0.8 - -5. Let k = h - y. Which is the second biggest value? (a) k (b) -3 (c) 0.07 c Let s be (24/32)/((-3)/(-2)). Let i = -7 + 8. Which is the second smallest value? (a) s (b) 5 (c) i c Let w be 16/(-20) - -1*(-792)/(-940). What is the third biggest value in w, 1, -4/3? -4/3 Let m = 2.2 - 2. Let v = 2857 - 2860. Which is the smallest value? (a) m (b) -0.5 (c) v (d) 1/10 c Let h = -1.2 + 6.2. Let m = 28 + -21. Let p = m - h. What is the second biggest value in -3, p, 2/11? 2/11 Let b = 67 - 46.8. Let s = b - -1.8. Let f = s - 17. What is the biggest value in f, -1, 4? f Let q = 0.09 + 3.91. Let c = -183 + 217. Let j = c - 29. What is the smallest value in j, -0.4, q? -0.4 Let r = 222 - 2888/13. What is the fourth smallest value in 2/3, -0.2, r, 0? 2/3 Let l(u) = u**3 - 3*u**2 - 28*u + 3. Let q be l(7). Which is the third biggest value? (a) q (b) -15 (c) -1/4 b Let h be (-78)/80 + -6*(-7)/42. Which is the third biggest value? (a) 5 (b) h (c) 0.4 b Let v be (-2)/6*(-759)/77 - 3. Which is the second smallest value? (a) v (b) -21 (c) -1/5 (d) 0 c Let y = -14 - -18. Which is the second biggest value? (a) -99 (b) y (c) 0.4 c Let j = 67 - 67.6. Let p = j - 1.4. Let y = -0.2 + 5.2. What is the second smallest value in p, y, -4? p Let s be (-57)/133 - (-26)/28. Which is the biggest value? (a) s (b) 0.3 (c) -2 a Let o = 1006 - 1007. Which is the biggest value? (a) 1 (b) o (c) -4/13 a Let m = 49 - 32. Suppose -15*d = -m + 2. What is the fourth biggest value in -4, d, 3, 31? -4 Let w = 6707 - 6668. Suppose -5*l - 4*x = -33, -l + 3*l + 5*x = 20. Which is the second biggest value? (a) 0 (b) w (c) l c Let p = 0.3 - 0.1. Let o = 0.3 + -0.68. Let b = -0.02 + o. What is the third biggest value in b, -1/3, p? b Suppose 2*o + 3*o - 15 = 0. Let s = -89.045 + 0.045. Let j = s + 89.3. Which is the third biggest value? (a) 4 (b) j (c) o b Let k = 37 + -23.5. Let z = 13 - k. What is the second smallest value in 8, z, 2? 2 Let u be ((-30)/4)/(-3)*(-8)/12. Which is the smallest value? (a) 0.03 (b) 0.2 (c) u (d) -3 d Let v(l) = l**2 - 29*l + 52. Let p be v(27). Let o = 6 - 6. What is the smallest value in p, -0.4, -2/9, o? p Let m = 9.3 - 6.3. Let f = -2/205 + -183/2255. What is the third biggest value in -0.4, -1, m, f? -0.4 Let z = -5/4 - -3/4. Let t = -6 + 11. Let n = -4 + t. What is the third smallest value in n, z, -5? n Let d = 2.94 - -0.06. Let i = -23 + 13. Let q = -6 - i. Which is the third biggest value? (a) -0.1 (b) q (c) d a Suppose -63*a + 49*a = -28. What is the biggest value in 3, 0, -2/3, a? 3 Let u(s) = -2*s + 13. Let l be u(9). Let k = -10 - l. Which is the smallest value? (a) -1 (b) -4 (c) k c Let l = 45 - 75. Let h = 29.5 + l. What is the second biggest value in -4, h, -2/11? h Let s = 540 + -12418/23. Which is the third smallest value? (a) -1/2 (b) 2 (c) s b Let h = 187.88 + -196. Let f = 0.38 - h. Let a = f + -9. What is the biggest value in a, 0.4, 1/4? 0.4 Let o = 59 - 83. Let f = 29 + o. Let u = -0.05 + -0.15. What is the smallest value in u, -4, f? -4 Let z = -901 + 905. Which is the third biggest value? (a) z (b) 249 (c) 0.4 c Let u = 3.65 - 6.65. Which is the fourth smallest value? (a) 0.12 (b) 2 (c) 3/8 (d) u b Let m = 151 + -221. Which is the second smallest value? (a) 0.2 (b) m (c) -1 c Suppose -3*v = 2*h + 8, -4*v - h = 12 + 7. Let y = v + 5. Let t be -1 - (y + 18/16). What is the third biggest value in t, 0.2, -5? -5 Let r = 181 + -186. What is the biggest value in r, -2/307, -0.3? -2/307 Let h = 0.07 - -3.73. Let n = -0.8 + h. Let b(d) = 4*d + 19. Let k be b(-6). What is the third biggest value in 0.4, n, k? k
Find p such that 5*p**5 - 35*p**4 + 65*p**3 - 5*p**2 - 70*p + 40 = 0. -1, 1, 2, 4 Suppose -2*r**2/5 - 136*r/5 - 2312/5 = 0. What is r? -34 Determine l so that 12*l**4 - 3519*l**3 + 21459*l**2 + 18963*l - 6027 = 0. -1, 1/4, 7, 287 Let -2*p**2/7 + 8*p/7 - 8/7 = 0. What is p? 2 Find o such that 4*o**2 - 2*o/3 = 0. 0, 1/6 Factor 4*y**3 + 92*y**2 - 4*y - 92. 4*(y - 1)*(y + 1)*(y + 23) Let 7*y**4/6 + 39*y**3/2 - 17*y**2/3 = 0. Calculate y. -17, 0, 2/7 Find o, given that -o**2/12 - 2387*o/6 - 5697769/12 = 0. -2387 Solve -j**5/2 - 13*j**4/2 + 17*j**3/2 + 37*j**2/2 - 34*j + 14 = 0. -14, -2, 1 Factor -b**2/4 + 9*b - 99/4. -(b - 33)*(b - 3)/4 Factor w**2 - 140*w + 4900. (w - 70)**2 Factor -j**5/4 - 15*j**4/4 - 75*j**3/4 - 125*j**2/4. -j**2*(j + 5)**3/4 What is b in -2*b**2/15 - 98*b/15 - 172/5 = 0? -43, -6 Solve -p**4/7 + 6*p**3/7 + 61*p**2/7 + 18*p + 72/7 = 0 for p. -3, -2, -1, 12 Determine u, given that -3*u**3 + 75*u**2 + 1416*u + 2508 = 0. -11, -2, 38 Factor n**3/4 + 3*n**2 - 27*n/4 + 7/2. (n - 1)**2*(n + 14)/4 Let 2916*w**4 - 1944*w**3 + 432*w**2 - 32*w = 0. What is w? 0, 2/9 Suppose -5*u**3/2 + 365*u/2 - 180 = 0. What is u? -9, 1, 8 Factor -3*k**2 - 69*k + 72. -3*(k - 1)*(k + 24) Find k, given that k**2/6 + 26*k/3 + 338/3 = 0. -26 Factor 4*t**3 - 92*t**2 - 96*t. 4*t*(t - 24)*(t + 1) Factor -28*w**3/3 + 212*w**2/3 - 352*w/3 - 64. -4*(w - 4)**2*(7*w + 3)/3 Let 6*z**5/7 - 4*z**4/7 - 114*z**3/7 + 256*z**2/7 - 120*z/7 = 0. Calculate z. -5, 0, 2/3, 2, 3 Find n such that -1538258*n**2/13 - 21048*n/13 - 72/13 = 0. -6/877 Solve 3*t**3 + 32*t**2 - 15*t - 44 = 0 for t. -11, -1, 4/3 Let -20*m**5 + 229*m**4 + 664*m**3/5 - 44*m**2/5 - 48*m/5 = 0. What is m? -2/5, 0, 1/4, 12 Factor 2*o**5 + 2*o**4 - 6*o**3 - 2*o**2 + 4*o. 2*o*(o - 1)**2*(o + 1)*(o + 2) Factor 4*r**2/5 + 16*r + 384/5. 4*(r + 8)*(r + 12)/5 Factor 3*r**2/2 + 9*r - 81/2. 3*(r - 3)*(r + 9)/2 Find b, given that -4*b**5 + 12*b**4 - 8*b**3 = 0. 0, 1, 2 Factor 15*y**3 + 4100*y**2 - 2745*y - 1370. 5*(y - 1)*(y + 274)*(3*y + 1) Factor -l**4/10 + 36*l**3/5 - 71*l**2/10. -l**2*(l - 71)*(l - 1)/10 Let s**2 - 8*s = 0. What is s? 0, 8 What is g in g**2/3 + 146*g/3 - 149 = 0? -149, 3 Find r such that 3*r**3 - 417*r**2 + 14280*r + 14700 = 0. -1, 70 Determine c so that 2*c**3 + 10*c**2 - 88*c + 120 = 0. -10, 2, 3 Factor 102*d**2/5 - 78*d/5 - 36. 6*(d + 1)*(17*d - 30)/5 Determine s so that 2*s**5/17 - 130*s**4/17 - 1484*s**3/17 - 1220*s**2/17 + 1482*s/17 + 1350/17 = 0. -9, -1, 1, 75 Solve -2*s**5/15 - 86*s**4/15 - 166*s**3/15 - 82*s**2/15 = 0. -41, -1, 0 Solve 36*s**5 + 84*s**4 - 212*s**3 + 108*s**2 - 16*s = 0. -4, 0, 1/3, 1 Determine z so that z**2/5 + 23*z/5 + 18 = 0. -18, -5 Find y, given that -3*y**5/8 + 3*y**4/4 + 18*y**3 = 0. -6, 0, 8 What is i in -4*i**2 + 2328*i + 21276 = 0? -9, 591 Factor 2*h**4 + 8*h**3 + 12*h**2 + 8*h + 2. 2*(h + 1)**4 Find x, given that -5*x**4 - 265*x**3 - 3375*x**2 + 3645*x = 0. -27, 0, 1 Solve 5*q**4 - 5760*q**3 + 2228850*q**2 - 296128440*q + 2488785345 = 0. 9, 381 Factor -w**2/5 - 376*w/5 - 75. -(w + 1)*(w + 375)/5 Let v**2/10 - 8*v/5 - 57/10 = 0. What is v? -3, 19 Find w such that -4*w**5 + 8*w**4 - 8*w**2 + 4*w = 0. -1, 0, 1 Let 2*z**2/7 - 12*z/7 + 18/7 = 0. What is z? 3 Determine g so that -3*g**4/5 - 18*g**3/5 - 33*g**2/5 - 18*g/5 = 0. -3, -2, -1, 0 Factor 3*l**2 + 618*l + 31827. 3*(l + 103)**2 Factor -3*a**2/5 - 27*a/5 - 24/5. -3*(a + 1)*(a + 8)/5 Let -4*l**5 - 752*l**4 - 33028*l**3 + 216536*l**2 - 445424*l + 301088 = 0. What is l? -97, 2 Factor 2*p**5/5 + 94*p**4/5 + 356*p**3/5 + 524*p**2/5 + 346*p/5 + 86/5. 2*(p + 1)**4*(p + 43)/5 Let -36*k**5 + 96*k**4 + 80*k**3 - 384*k**2 + 256*k = 0. What is k? -2, 0, 4/3, 2 Solve -d**4 + 8*d**3 - 23*d**2 + 28*d - 12 = 0 for d. 1, 2, 3 Factor -m**2 - 331*m - 1630. -(m + 5)*(m + 326) Factor -2*x**3 + 540*x**2 - 48600*x + 1458000. -2*(x - 90)**3 Determine n, given that 2*n**5 + 4*n**4 - 24*n**3 - 76*n**2 - 74*n - 24 = 0. -3, -1, 4 Determine c, given that -c**5/3 + 22*c**3/3 - 20*c**2/3 - 7*c + 20/3 = 0. -5, -1, 1, 4 Suppose -4*v**3 - 20*v**2 - 16*v = 0. What is v? -4, -1, 0 Factor 4*v**3 + 48*v**2 - 4*v - 48. 4*(v - 1)*(v + 1)*(v + 12) Factor 3*v**2/4 - 75*v/2 + 300. 3*(v - 40)*(v - 10)/4 Factor i**3/5 + 26*i**2/5 + 25*i + 20. (i + 1)*(i + 5)*(i + 20)/5 Suppose 3*j**5/7 - 66*j**4/7 + 468*j**3/7 - 1080*j**2/7 = 0. What is j? 0, 6, 10 Factor 8*k**4 - 244*k**3 - 380*k**2 - 128*k. 4*k*(k - 32)*(k + 1)*(2*k + 1) Let 4*b**4/3 - 4*b**3/3 - 7*b**2/3 - 2*b/3 = 0. Calculate b. -1/2, 0, 2 Let 5*s**2 + 2730*s + 372645 = 0. What is s? -273 Factor 2*p**5 + 3*p**4 + p**3. p**3*(p + 1)*(2*p + 1) Let -3*c**2 - 201*c - 198 = 0. Calculate c. -66, -1 Find z, given that -z**2/5 - 13*z/5 + 14/5 = 0. -14, 1 Find v such that -5*v**4 - 105*v**3 - 100*v**2 = 0. -20, -1, 0 Solve 4*g**2/5 + 9978*g/5 - 998 = 0. -2495, 1/2 Factor 20*o**2 + 172*o - 72. 4*(o + 9)*(5*o - 2) Factor -4*w**2 - 2128*w - 283024. -4*(w + 266)**2 Find k such that 2*k**3 - 26*k**2 + 44*k = 0. 0, 2, 11 Factor -4*y**3 - 12*y**2 + 4*y + 12. -4*(y - 1)*(y + 1)*(y + 3) Factor 13*u**2 - 461*u + 210. (u - 35)*(13*u - 6) Find p, given that -6*p**5/11 + 26*p**4/11 - 38*p**3/11 + 2*p**2 - 4*p/11 = 0. 0, 1/3, 1, 2 Solve 32*k**5 + 176*k**4 + 274*k**3 + 106*k**2 + 12*k = 0 for k. -3, -2, -1/4, 0 Determine b, given that -6*b**5/11 + 10764*b**4/11 - 4838406*b**3/11 + 9644544*b**2/11 - 4816896*b/11 = 0. 0, 1, 896 Factor 6*d**3/7 + 1196*d**2 + 2926006*d/7 + 3886472/7. 2*(d + 697)**2*(3*d + 4)/7 Factor 5*d**2 - 680*d. 5*d*(d - 136) Let 1369*l**4/5 - 7437*l**3/5 + 12792*l**2/5 - 6724*l/5 = 0. Calculate l. 0, 1, 82/37 Find t, given that 5*t**2 - 200*t - 645 = 0. -3, 43 Solve -2*w**5/3 - 158*w**4/3 - 3494*w**3/3 - 14882*w**2/3 - 22496*w/3 - 10952/3 = 0 for w. -37, -2, -1 Determine d so that 5*d**2 + 25*d - 30 = 0. -6, 1 Factor 95*y**3 + y**2 - 79*y + 15. (y + 1)*(5*y - 1)*(19*y - 15) Factor r**3/4 - 19*r**2/4 + 25*r/2 - 8. (r - 16)*(r - 2)*(r - 1)/4 Solve 10*a**5/9 + 22*a**4/3 + 82*a**3/9 + 2*a**2/3 - 20*a/9 = 0 for a. -5, -1, 0, 2/5 Suppose -5*p**2 + 1100*p - 60500 = 0. Calculate p. 110 What is p in -2*p**2/7 + 1996*p/7 - 498002/7 = 0? 499 Solve -5*c**4 + 960*c**3 + 5*c**2 - 960*c = 0 for c. -1, 0, 1, 192 Suppose -3*k**5 + 3*k**4 + 21*k**3 - 3*k**2 - 18*k = 0. Calculate k. -2, -1, 0, 1, 3 Factor -2*o**5/9 + 98*o**4/3 - 16132*o**3/9 + 388796*o**2/9 - 1114366*o/3 - 3748322/9. -2*(o - 37)**4*(o + 1)/9 What is k in -5*k**5 - 85*k**4 - 440*k**3 - 1000*k**2 - 1040*k - 400 = 0? -10, -2, -1 Factor -16*d**3/3 + 80*d**2 - 364*d + 1352/3. -4*(d - 2)*(2*d - 13)**2/3 Factor -8*s**2/9 - s - 1/9. -(s + 1)*(8*s + 1)/9 Find p, given that 2*p**2/9 + 94*p/3 - 284/9 = 0. -142, 1 Factor 3*w**4 + 108*w**3 - 240*w**2 - 432*w + 912. 3*(w - 2)**2*(w + 2)*(w + 38) Factor -2*n**4 + 94*n**3 - 840*n**2 - 6344*n - 5408. -2*(n - 26)**2*(n + 1)*(n + 4) Factor 20*c**3 + 2555*c**2 + 81280*c - 20480. 5*(c + 64)**2*(4*c - 1) Factor 4*i**2/7 - 76*i/7 + 136/7. 4*(i - 17)*(i - 2)/7 What is r in 14*r**2/5 - 3032*r/5 - 1302/5 = 0? -3/7, 217 Factor 3*h**2 + 11286*h + 11283. 3*(h + 1)*(h + 3761) Factor 5*o**4 - 1655*o**3 + 183150*o**2 - 6836500*o + 6655000. 5*(o - 110)**3*(o - 1) Solve 3*d**3 + 3*d**2 - 3*d - 3 = 0. -1, 1 Factor -r**4/3 - r**3/3 + 2*r**2/3. -r**2*(r - 1)*(r + 2)/3 Factor 11*r**3/3 - 46*r**2/3 + 8*r/3. r*(r - 4)*(11*r - 2)/3 Factor 3*u**2/7 - 81*u/7 - 174/7. 3*(u - 29)*(u + 2)/7 Find v, given that -2*v**5 - 16*v**4 - 28*v**3 + 16*v**2 + 30*v = 0. -5, -3, -1, 0, 1 Solve -r**3/3 - 31*r**2/3 + 152*r/3 + 140 = 0 for r. -35, -2, 6 Determine p, given that 3*p**4/4 + 51*p**3/4 - 585*p**2/4 + 417*p/4 + 525/2 = 0. -25, -1, 2, 7 Let -10*k**5 - 268*k**4 + 1566*k**3 - 3056*k**2 + 2536*k - 768 = 0. What is k? -32, 1, 6/5, 2 Determine w so that w**2/4 - w/4 - 3/2 = 0. -2, 3 Find h such that h**3 + 28*h**2 - 29*h = 0. -29, 0, 1 Factor -44*j**3 + 52*j**2 + 80*j - 16. -4*(j - 2)*(j + 1)*(11*j - 2) Factor c**2/6 + 193*c/6 - 65. (c - 2)*(c + 195)/6 Let -2*u**2/17 - 26*u/17 + 28/17 = 0. Calculate u. -14, 1 Factor -5*u**2 + 9605*u + 9610. -5*(u - 1922)*(u + 1) Find z, given that -z**5 + 7*z**4 + 39*z**3 + 53*z**2 + 22*z = 0. -2, -1, 0, 11 Factor 3*j**4 + 9*j**3 - 9*j**2 - 21*j + 18. 3*(j - 1)**2*(j + 2)*(j + 3) Find l such that -3*l**5 - 69*l**4 + 147*l**3 - 75*l**2 = 0. -25, 0, 1 Solve -14*w**4 + 24*w**3 + 8*w**2 = 0. -2/7, 0, 2 Factor -z**2/4 + 197*z/4. -z*(z - 197)/4 What is z in -2*z**2/5 + 116*z/5 + 48 = 0? -2, 60 Let v**4/4 - v**3/2 - v**2 + 2*v = 0. Calculate v. -2, 0, 2 Determine b so that -6*b**3/11 + 4278*b**2/11 - 68736*b - 2306952/11 = 0. -3, 358
Let v be 3*(5 - 4) - 1. Suppose -u - 431 = -2*p, p - 644 = -v*p + 2*u. Suppose 4*c = 4*i + 944, -p = -3*c - i + 482. What are the prime factors of c? 2, 3, 13 Suppose -21 + 201 = 18*z. Suppose z*n = 19*n - 2628. List the prime factors of n. 2, 73 Let o be (-6)/(-8) + (-3)/(-24)*90. Suppose 90 = 3*p - o*p. Let k(v) = -4*v + 1. List the prime factors of k(p). 41 Suppose 5*s + 12*l - 7552 = 13*l, 4*l = -4*s + 6056. Suppose -s - 1387 = -14*a. What are the prime factors of a? 3, 23 Let v(p) = p**3 + 58*p**2 + 122*p + 8. What are the prime factors of v(-42)? 2, 53, 109 Let p(f) = -669*f - 162. Suppose -17 = 4*r - x, 0 + 11 = 3*r + 4*x. What are the prime factors of p(r)? 3, 5, 41 Let k(c) be the first derivative of -14*c**3/3 + 7*c**2/2 - 2*c - 22. Let l be k(2). What are the prime factors of (-66)/l + 366/4? 3, 31 Suppose -3*u = 2*u - 15, -2*u = -3*s. Suppose s*m + 17 + 23 = 4*r, -3*m = -4*r + 38. Suppose 2*g - r + 1 = 0. What are the prime factors of g? 5 Let a be (2/(-3))/((-91)/(-105) + -1). Suppose 0 = 11*c - 14*c + 15. Suppose -2260 = -c*m - a*m. List the prime factors of m. 2, 113 Let t(f) = -6*f**2 + 4*f + 2. Let y be ((-32)/(-40))/((-4)/10). Let x be t(y). Let s = 104 + x. List the prime factors of s. 2, 37 Let z(s) = s**2 - 3. Let v be z(-3). Suppose 0 = v*x - 2 - 16. Let y(n) = 46*n + 2. What are the prime factors of y(x)? 2, 5, 7 Suppose -2*y - 3127 = 5*t, -5*y = -3*t - 3067 + 1166. Let q = -61 - t. What are the prime factors of q? 2, 283 Suppose 0 = -3*t - 3*y + 243, 0 = 3*t - 4*y + 3*y - 239. Suppose 5*j - t = -5*p, 3*p + 12 = -14*j + 15*j. What are the prime factors of j? 3, 5 Let q(z) = 264*z**2 + 81*z - 39. What are the prime factors of q(9)? 2, 3, 13, 283 Let g(x) = -4731*x - 278. What are the prime factors of g(-1)? 61, 73 Let g(u) = 2*u**2 + 22*u - 81. Let r be g(-14). Suppose -5*j + 612 = 3*y - 101, -279 = -2*j + 5*y. Suppose -a + r*a = j. List the prime factors of a. 71 Suppose -87701 - 86699 = -8*j. What are the prime factors of j? 2, 5, 109 Let w be (5 - (-231)/(-44))/((-2)/5496). Suppose -w = -5*v + 2603. List the prime factors of v. 2, 7, 47 Let v(x) = -x**3 - 13*x**2 - 43*x - 11. Let z be v(-10). Suppose -z = 5*i - 1359. List the prime factors of i. 2, 31 Suppose 4*o + 2*o - 708 = 0. Let p = 347 - 77. Let w = p - o. What are the prime factors of w? 2, 19 Suppose 4*v - 86 = -46. Let x(s) = -35 - 13 + 25 - v*s. List the prime factors of x(-10). 7, 11 Let o = 33391 - 14661. List the prime factors of o. 2, 5, 1873 Let i(x) = -11*x**3 - x + 2. Let p be i(-2). Let j = 610 - p. List the prime factors of j. 2, 7, 37 Let v(n) = 151*n + 86. Let g be v(5). Let x = -258 + g. What are the prime factors of x? 11, 53 Let q = 5 + -44. Let o be (-1946)/(-26) - 6/q. Let j = o - -61. List the prime factors of j. 2, 17 Suppose 2*q = 5*t + 30160, -q - 2*q + 45230 = -5*t. List the prime factors of q. 2, 5, 11, 137 Suppose -2*g + 4*v + 4452 = 0, 2*g - 4*v = -7*v + 4473. Suppose 3*h - g = -3*w, -3*w - 20*h = -19*h - 2236. What are the prime factors of w? 2, 373 Let i = -98 + 60. Let b = 33 + i. What are the prime factors of (2/b)/(0 + (-6)/2430)? 2, 3 Let i(p) = -9*p + 1 + p**3 + 4*p**2 + 5*p + 9*p. Let l be i(-2). List the prime factors of (4 + -5)*(-84 - l). 83 List the prime factors of (10836/430)/((-2514)/(-8750) + (-4)/14). 2, 3, 5, 7 Suppose 12*q = -8930 + 62078. What are the prime factors of q? 43, 103 Suppose -3*u = -16*u + 780. What are the prime factors of (-2409)/(-2)*u/90? 11, 73 Let d(l) = -188*l + 1048. What are the prime factors of d(-13)? 2, 3, 97 Let h(q) be the third derivative of 0 + 0*q - 3/8*q**4 + 29*q**2 - 2/3*q**3 + 1/4*q**5. List the prime factors of h(-4). 2, 17 Let g be (2632/10 - (-13)/(-65))*2. Suppose x - g = 54. What are the prime factors of x? 2, 5, 29 Suppose 3*x = -x + 32. Suppose 286 = -6*q + x*q. Suppose -24*k = -25*k + q. What are the prime factors of k? 11, 13 Suppose 2 = n + 12. Suppose 5*x = 20, -3*k + 10 = -5*x - 30. List the prime factors of 10 + (-8)/k*n. 2, 7 Suppose 8*a = 5*q - 130004, 2*q = 5*a + 28615 + 23383. List the prime factors of q. 2, 3, 11, 197 Let w(j) = -27983*j - 1088. What are the prime factors of w(-1)? 3, 5, 11, 163 Let s = -310 - -312. Suppose s*j + 4*q - 1559 = 3*q, 0 = 5*j + 2*q - 3900. What are the prime factors of j? 2, 17, 23 Let g = 20 - 24. Let h be g + (4 - 51 - -4). Let b = h - -85. What are the prime factors of b? 2, 19 Let p(f) = 493*f**2 + 33*f + 240. List the prime factors of p(-8). 2, 7, 563 What are the prime factors of 6/(-21) + 120/(-70) - -13166? 2, 3, 1097 Let n = -56 - -56. Suppose n = -2*c - 165 + 531. Suppose 49 = -m + c. List the prime factors of m. 2, 67 Let z(l) = -153*l**3 - 3*l**2 + 91*l + 441. List the prime factors of z(-5). 2, 4759 Let q = -5009 - -11973. What are the prime factors of q? 2, 1741 Let g(h) = 40*h**2 - 199*h + 8. What are the prime factors of g(30)? 2, 23, 653 Suppose -955875 - 10448 = -25*a - 91073. List the prime factors of a. 2, 3, 5, 389 Let q be 13*-1 + 1 + 0. Let v(y) = -y**3 - 11*y**2 + 9*y + 3. Let l be v(q). List the prime factors of 6/l - 3810/(-78). 7 Let c(k) = 41*k**2 + 6*k - 34. Suppose -39 + 159 = 20*r. What are the prime factors of c(r)? 2, 739 Let x(z) = 6*z + 1 - 7*z + 2*z**2 - 2 + z**2. Let v be x(-1). Suppose -v*i + 6*h = h - 184, i - 48 = 5*h. List the prime factors of i. 2, 17 Suppose 24*p = 28*p - 12. Let l(x) = 23*x**3 - 7*x**2 - 4*x - 2. What are the prime factors of l(p)? 2, 17 Suppose 0*y - 88850 = -5*y - 3*h, -17770 = -y - 5*h. What are the prime factors of y? 2, 5, 1777 Let h be ((-5*2/4)/(-1))/((-55)/(-44)). Let t = -6 - -11. What are the prime factors of 0 + ((-100)/t)/(h/(-12))? 2, 3, 5 Let u(b) = 7*b**2 + 3*b + 2. Let w be u(2). Let l = w + 360. Let s = l - 254. List the prime factors of s. 2, 71 List the prime factors of (-28)/(-4) - -20520 - 2/(4 - 2). 2, 3, 11, 311 Suppose 12*q = 6*q + 144. Let t be (-130)/39*q/(-5). Let k(w) = 2*w**2 - 29*w. List the prime factors of k(t). 2, 3 Let t(f) = 16*f - 68. Suppose -5*o + 137 = -538. Let j = o - 121. List the prime factors of t(j). 2, 3, 13 Let n(g) = -18*g**3 + 4*g**2 - 187*g - 46. What are the prime factors of n(-10)? 2, 79 Suppose -11928 = -32*d + 393059 - 60539. List the prime factors of d. 2, 3, 13, 23 Let w = -5 + 12. Suppose 0 = w*n - 3*n + 8, 4*n = -4*x + 8. Suppose -3*p = 3*f - 252, p + p - 328 = -x*f. List the prime factors of f. 2, 5 Suppose 35*m - 34*m - 394 = -5*s, 4*s - 3*m - 319 = 0. Suppose s*c - 81*c = -2528. What are the prime factors of c? 2, 79 List the prime factors of 344/6*(-1710)/(-76). 2, 3, 5, 43 Suppose -38523 + 3694 = -f - 3*q, -f - 2*q + 34837 = 0. What are the prime factors of f? 7, 13, 383 Let k be 178/4 + (-27)/18. Let t = k + -43. Suppose 3*b + y - 62 = 0, t = 2*b - 7*y + 3*y - 18. What are the prime factors of b? 19 Suppose -5*d + 5*a = -10, 3*d - d - a - 6 = 0. Suppose 0 = -d*w + 14*w - 250. Suppose w*l = 24*l + 35. List the prime factors of l. 5, 7 Let p = 5064 + -2687. Suppose 43*z = p + 31636. List the prime factors of z. 7, 113 Suppose l - 47 = x + 8086, 2*x - 16254 = -2*l. Suppose -l = 35*z - 50*z. List the prime factors of z. 2, 271 Let j = 6621 + -2823. What are the prime factors of j? 2, 3, 211 Suppose -83*x = -82*x - 4. Suppose s - 4*s + 1033 = g, 4092 = 4*g + x*s. What are the prime factors of g? 2, 509 Suppose 40 = 5*v + 3*v. Suppose 23*k = 24*k - v. Suppose -240 = -0*r - k*r. What are the prime factors of r? 2, 3 Let x = -7 + 19. Let s be 3/x - 838*(-2)/16. Suppose 0 = -4*a + 347 + s. What are the prime factors of a? 113 Suppose -2*h + 131*x - 139*x = -25452, 38178 = 3*h - 2*x. What are the prime factors of h? 2, 3, 7, 101 Suppose 2*l + 3*z = 56, 0 = 4*l - 5*z + z - 72. Suppose 3*o = -u + l, 7*o = -u + 2*o + 20. What are the prime factors of u? 5 Let g(n) = 13*n**2 + 130*n - 187. What are the prime factors of g(13)? 2, 5, 37 Suppose 9*u - 2*u = -210. Let o = u + 34. Suppose -4*l + 188 = o*m, m - 200 = -5*l + 3*m. List the prime factors of l. 2, 3, 7 Suppose -3*v = -4*v + 18. Let i be -235*(v/(-14) + 22/77). Suppose i + 50 = 3*n. What are the prime factors of n? 5, 19 Suppose 24*d = 4*i + 16*d - 9048, -4*i - 2*d + 9088 = 0. List the prime factors of i. 2, 5, 227 Let t = 143 + 3821. List the prime factors of t. 2, 991 Let j be -1 - (28/210 + 62/(-15)). Suppose -177 = -y + j*q + 11, 2*q = 10. What are the prime factors of y? 7, 29 Suppose 10*d - 33 + 23 = 0. Let s(h) = 199*h + 4. What are the prime factors of s(d)? 7, 29
Let m = -1990 - -2044. Is 15 a factor of m? False Suppose -2*m = -10, 27*c - 3415 = 22*c - m. Does 18 divide c? False Let y(n) = -n**3 + 9*n**2 - 3*n + 3. Let z(c) = 3*c**3 - 19*c**2 + 6*c - 5. Let k(a) = -5*y(a) - 2*z(a). Let o be k(-7). Let v = 36 + o. Does 5 divide v? True Let w(a) = -a - 9. Let l be w(11). Let c be (l - 0)*(-2 + 1). Suppose 2*q = 4*y + 3*q - 88, -c = -5*q. Is 9 a factor of y? False Is (-75)/(-30)*(-1272)/(-15) a multiple of 73? False Let s = 9 - 6. Let x be (0 - -1)*6/s. Suppose -31 = -3*d + x*d. Is d a multiple of 8? False Suppose -j + g + 91 = 0, -3*j + 278 = 4*g - 2*g. Suppose 0 = 3*u + 11 - j. Does 5 divide (u + -3)/2 - 4? False Suppose -x + 3*d + 314 = -0*d, 3*x - 4*d - 942 = 0. Is 29 a factor of x? False Let r = 3 - 35. Let h = r - -80. Does 24 divide h? True Suppose -18 = -k - 2*k. Let l(o) = o**3 + 15*o**2 + 23*o + 5. Let x be l(-13). Let c = x - k. Does 11 divide c? False Suppose -56 = -3*b - 44. Suppose -15 = -2*l - 5*u, l + 5*u + 60 = 4*l. Let y = b + l. Does 19 divide y? True Let t(v) = -v**2 + 6*v - 6. Let z be t(3). Suppose 0*d - z*g + 10 = -d, -4 = -4*d + g. Suppose -4*f - d = -5*r + 16, r - 3*f = 8. Is r even? True Suppose -2*s - 5*d = -62 - 19, 0 = -5*s + d + 243. Is 42 a factor of s? False Suppose 4*q + 0*q - 52 = 0. Let o(m) = 3 + 12*m**2 - 1 - m**3 + 14*m - 6. Is o(q) a multiple of 4? False Suppose -45*c = -4*f - 42*c + 2944, 4*f - 2948 = 2*c. Is f a multiple of 17? False Is 20/(-40) + (-42)/(-4) a multiple of 10? True Let d = 5056 + -2704. Is 6 a factor of d? True Suppose -4*s - 3*u = s - 1928, -5*u = 2*s - 756. Does 34 divide s? False Suppose 0 = a - 4, -a = 4*q - 2*a - 32. Let d be 10/45 - (-25)/q. Suppose d*r - 2*j = 47, -3*r - j - 2*j + 72 = 0. Does 19 divide r? True Let x = -82 - -116. Let h = 63 - x. Does 12 divide h? False Let m(t) = -t**3 + 10*t**2 - 9*t - 6. Suppose -5*g + 16 = 3*k - 28, 5*k + 4*g - 56 = 0. Is m(k) a multiple of 5? True Let d = -4 - -8. Let a(y) = -y - 5. Let o be a(-5). Suppose -d*b + o*b = -28. Is 2 a factor of b? False Let c = 4 + -1. Suppose -u = c*u - 156. Is u/(-3 - 18/(-4)) a multiple of 13? True Let s(y) = -4*y**2 + 198*y + 60. Is 57 a factor of s(38)? False Let l = 6 - 5. Let y be (l + 11)*1/4. Suppose z - y*m = 60, -2*z + m + 3*m + 122 = 0. Is 21 a factor of z? True Let j(g) = g**2 - 7*g + 4. Let b be j(6). Let a be 9 + -10 + 6 + 1. Is a/(404/(-208) - b) a multiple of 26? True Let f = 394 + -26. Is 46 a factor of f? True Suppose 0 = 181*l - 178*l - 2565. Does 10 divide l? False Let i(p) = -2*p**2 - 2*p + 15. Let h be i(-5). Is (-632)/(-10) - (-5)/h a multiple of 18? False Let j(p) = p**3 + 13*p**2 + 8*p - 8. Suppose -4*g = -9*g + 30. Suppose -45 - 27 = g*q. Is 8 a factor of j(q)? True Let p = 2 - -3. Suppose -p*v = -x - 4*x + 230, -2*x + 4*v = -82. Does 3 divide x? True Let x(b) = b**3 + 26*b**2 - 69*b - 28. Does 3 divide x(-28)? True Let v(c) = 96*c + 23. Is v(3) a multiple of 6? False Let m = -87 + 112. Let a(d) = d**3 - 24*d**2 - 22*d + 16. Does 17 divide a(m)? False Is 168 - -67 - -3*2 a multiple of 65? False Let q(d) = -22*d + 33. Let a be (-32)/7 - ((-31)/(-7) + -4). Is 22 a factor of q(a)? False Suppose -4*o + 7 = 11. Is 3 a factor of (o/(-5) - -1)*(-230)/(-46)? True Suppose -3*x + 93 = 3*m, 36*m + 4*x + 65 = 39*m. Is m a multiple of 3? True Does 2 divide (-5 - 1330/21)/((-6)/18)? False Suppose 3*d - 4*d - 14 = 0. Suppose -n - 5*o = -4*o - 23, -108 = -4*n + 4*o. Let y = n - d. Does 13 divide y? True Let m = -2 - -5. Suppose -3*n - 27 = m. Does 17 divide 768/40 - (-2)/n? False Suppose -64 = -3*j - 25. Suppose u + 4*z + 7 = -4, -2*u + j = z. Does 7 divide u/(-6) - 325/(-10)? False Suppose -5*g = -10*u + 13*u - 10101, 5*u + 3*g - 16835 = 0. Is u a multiple of 78? False Let s(n) = -2*n**3 - 5*n**2 + 2*n + 9. Let g be s(-6). Suppose 3*l + 33 = g. Suppose -t - l = -4*t. Is 12 a factor of t? True Let k(c) = 13*c + 29. Let u = 59 + -47. Is k(u) a multiple of 37? True Does 9 divide (1100/15 + 2/3)/1? False Let o(a) = -a. Let u(b) = b**2 - 9*b + 12. Let p(x) = -2*o(x) - u(x). Let d be p(9). Is (-14)/d*672/(-16) a multiple of 14? True Let g(y) = y**3 - 9*y**2 - 7*y + 9. Let o(s) = 4*s**2 + 3*s. Let l be o(-2). Let j be g(l). Suppose -j = -4*m + m. Is m a multiple of 6? False Suppose -5*o = -x + 283, -600 - 169 = -3*x - o. Suppose 14 = 2*s - x. Is s a multiple of 22? False Let f be 0 + (1 - 110) - -4. Does 23 divide 21/f - (-231)/5? True Let f(q) = -68*q**3 + 11*q + 33. Does 17 divide f(-3)? True Suppose p - 15 = -2*p. Suppose p*v = -q + 35, 0*v = 2*q + v - 25. Does 9 divide (6/q)/((-5)/(-75))? True Suppose 2*o - 4*z + 10 = 0, 4*z = 3*o - 1 + 6. Suppose -18 + 78 = -o*s. Is s/(-66) - (-1184)/22 a multiple of 27? True Let z(n) = 1229*n**3 - n**2 - 4*n + 6. Is z(1) a multiple of 15? True Suppose -9022 = -81*d + 55*d. Is d a multiple of 3? False Suppose 28 = -2*d + 532. Suppose x + 2*x = -3*w + d, 4*w - 255 = -3*x. Is x a multiple of 27? True Let k(h) = h**2 + 51. Let s = -12 - -16. Suppose 0 = s*z - 2*z. Does 17 divide k(z)? True Let u be -2 - ((-36)/(-3))/(-3). Let q = 328 - 184. Suppose 4*c - q = 3*p, 0 = -u*c + c - 2*p + 36. Is 12 a factor of c? True Let h(s) = 3*s**3 - s**2 + 5. Is 10 a factor of h(3)? False Let z(q) = 11*q - 38. Let i be z(7). Let c = 47 - i. Does 4 divide c? True Let y(v) = 176*v - 364. Is y(14) a multiple of 84? True Suppose 218 = 5*c + 48. Let n = c - -2. Suppose 5*y - 4*y - n = 0. Does 18 divide y? True Let i = 1047 - 335. Is i a multiple of 8? True Let w(u) = -77*u - 3. Is w(-5) a multiple of 14? False Let z(a) = a + 0 + 9 + 6. Does 20 divide z(6)? False Let o(i) = 28*i**2 - 76*i + 10. Does 79 divide o(-8)? False Suppose -3*w = -3*d, -2*w - 5*d - 6 = -4*w. Let l(g) = 10*g + 193. Let p be l(-19). Does 15 divide (-20 - 0)/(w/p)? True Let f = -14 + 14. Suppose -5*p - 4*c + 758 = f, -3*p - 3*c + 389 = -67. Suppose -j - p = -6*j - 3*a, -4*j = -a - 103. Does 9 divide j? True Suppose -11*z - 1050 = -2*v - 10*z, 0 = v + 2*z - 530. Is v a multiple of 55? False Let g be (-5067)/(-99) + 2/(-33)*3. Suppose -z - 4*x = -g, 0*z + 126 = 3*z + 3*x. Does 27 divide z? False Suppose -41*i + 1344 = -34*i. Is i a multiple of 24? True Suppose -4*v + 52 = 4*i - i, i - 3*v = 0. Let u be 4/18 - (-2)/(-9). Suppose u*x + 2*x - i = 0. Is 6 a factor of x? True Is ((-1)/1)/((-39)/13104) a multiple of 6? True Suppose -136 - 2 = -2*i. Does 5 divide 23/i + (-58)/(-6)? True Suppose 2*c - 5*h - 7076 = 0, -2*c + 3*h + 6331 + 737 = 0. Does 98 divide c? True Let c = -8 + 2. Let n(f) = -10*f - 3. Is n(c) a multiple of 19? True Suppose -5*z + 12*z = -14*z. Let h = -25 - 10. Let i = z - h. Does 35 divide i? True Is (-12 - -13)/((-10)/(-560)) a multiple of 21? False Suppose -v + 4*c = v - 342, -4*c - 509 = -3*v. Let t = v - -61. Suppose -a - t = -7*a. Is 19 a factor of a? True Let k be (10/(-5))/(6/(-9)). Let y(o) = -5*o + 0*o**k - o**3 + o**2 - 5 - 5*o**2. Is 4 a factor of y(-4)? False Let o(q) = 14*q**2 + 3*q - 6*q + 4*q + 21*q**2. Is 11 a factor of o(-1)? False Let m be (-2)/8 + 18/8. Suppose -m*k = -4*k + 10. Let p = 0 + k. Does 5 divide p? True Let f(k) = 1543*k**2 + 4*k. Is f(-1) a multiple of 88? False Suppose 6*u = -42 + 30. Let m be (-2)/((-366)/(-364) - 1). Does 10 divide (u/(-4))/((-7)/m)? False Let q(b) = 7*b**2 + 4*b - 10. Suppose 0 = 59*i - 56*i + 15. Is q(i) a multiple of 29? True Let g = 55 + 3324. Is g a multiple of 12? False Suppose -234 = -i + 205. Does 11 divide i? False Suppose -4*i = 5*w - 1991, -3*w + 0 = 15. Is 36 a factor of i? True Let m(l) = 5*l + 34. Does 23 divide m(7)? True Let d be 2 + -4 + -141 + 1. Let j = d + 243. Does 32 divide j? False Let t = 410 + -259. Is 11 a factor of t? False Suppose 145*r - 138*r = 24486. Is r a multiple of 33? True Suppose 4*w - 5*c + 4567 = 12112, -5*w + 9459 = 3*c. Is 18 a factor of w? True Let v = 35 + -25. Let d be 0/(3/(-1 + 4)). Suppose d = 3*h - 5 - v. Is h a multiple of 5? True Let x = 16 - 14. Suppose 13 = x*k - 15. Suppose -17*w + k*w + 51 = 0. Is w a multiple of 15? False Suppose 0 = -y + 5*v + 22, -4*y - 2*v = -0*y - 44. Let n = y - 9. Suppose -4 = -n*k + 23. Is k a multiple of 4? False Suppose -4 = 2*r, -5*r + 7*r = -3*i + 782. Does 34 divide i? False Suppose -6*v = -5802 + 972. Is v a multiple of 39? False Suppose -2*t - 5*f - 19 = -178, -201 = -3*t + 5*f. Suppose 0*h - t = -2*u + 2*h, -5*h - 10 = 0. Is 8 a factor of u? False Let c(a) = a**2 + 17*a + 124. Is c(-19) a multiple of 9? True Let t(s) = -296*s - 13. Is t(-1) a multiple of 31? False
Let u(s) be the second derivative of -s**6/40 - 9*s**5/80 + s**3/2 - 4*s. Factor u(b). -3*b*(b - 1)*(b + 2)**2/4 Let q(b) be the first derivative of -b**3/3 + b + 54. Factor q(m). -(m - 1)*(m + 1) Let x(r) be the first derivative of -r**8/5040 - r**7/2520 - r**3 - 1. Let j(k) be the third derivative of x(k). Factor j(d). -d**3*(d + 1)/3 Let b(m) = 3*m**2 + 137*m - 43. Let x be b(-46). Solve x*p**3 - 9/5*p**2 - 6/5*p + 0 = 0 for p. -2/5, 0, 1 Let m(k) = k**2 + 6*k - 4. Let w(g) = 9*g**2 + 49*g - 32. Let r(y) = -51*m(y) + 6*w(y). Factor r(l). 3*(l - 2)**2 Let y(q) be the second derivative of -q**7/1365 - q**6/780 + q**5/195 + 3*q**2 - q. Let w(t) be the first derivative of y(t). What is x in w(x) = 0? -2, 0, 1 Let t be ((-22)/6 + 3)*-3. Let n = -2 - -5. Factor 4*i - t*i - n*i + i**2. i*(i - 1) Let g = 13/5 - 5/2. Let l(s) be the second derivative of -5/3*s**3 + 0 - 1/15*s**6 + g*s**5 + 2*s**2 + 2*s + 1/2*s**4. Suppose l(m) = 0. Calculate m. -2, 1 Let r = -30 + 34. Factor -y + 1/2*y**2 - 1/2*y**r + 0 + y**3. -y*(y - 2)*(y - 1)*(y + 1)/2 Let t(a) be the first derivative of -a**4/30 - 2*a**3/15 - a**2/5 + 4*a + 3. Let r(f) be the first derivative of t(f). Find s, given that r(s) = 0. -1 Let k(x) be the third derivative of -2*x**7/105 + x**5/5 - x**4/3 - 3*x**2. Factor k(a). -4*a*(a - 1)**2*(a + 2) Let j(v) = -41*v**2 - 80*v - 30. Let x(q) = 21*q**2 + 40*q + 15. Let p(l) = -4*j(l) - 9*x(l). Factor p(n). -5*(n + 1)*(5*n + 3) Suppose 6*j = 2*j - 20, -3*h + 65 = 2*j. Suppose 31*p**2 - h*p**3 - 37*p**2 - 9 - 39*p - 49*p**2 = 0. Calculate p. -1, -3/5 Solve 2*l**2 + 2/7*l + 12/7*l**3 + 0 = 0. -1, -1/6, 0 Let j(s) be the third derivative of -s**7/1155 + s**6/660 + 2*s**5/165 - s**4/33 - 35*s**2. Solve j(i) = 0 for i. -2, 0, 1, 2 Suppose 2*a + 2 = a. Let k be (-6)/10 - 2/a. Suppose 2/5*v**2 - 4/5*v + k = 0. Calculate v. 1 Let v(p) = 3*p**2 - 8. Let t(y) = -15*y**2 + 39. Let r(q) = -4*t(q) - 21*v(q). Factor r(s). -3*(s - 2)*(s + 2) Let -2/13*i**4 + 0*i - 2/13*i**3 + 0 + 0*i**2 = 0. Calculate i. -1, 0 Let i = -995 + 137309/138. Let x = i - -281/690. Factor 0 - 2/5*g + x*g**2. 2*g*(g - 1)/5 Let i(t) be the second derivative of -t**6/300 + t**5/50 - t**4/30 + t**2/2 - t. Let w(d) be the first derivative of i(d). Suppose w(j) = 0. Calculate j. 0, 1, 2 Let w(a) = a**4 + a**3 - a**2 - a - 1. Let f(j) = -9*j**4 - 29*j**3 - 47*j**2 - 43*j - 11. Let s(g) = -f(g) - 5*w(g). Factor s(k). 4*(k + 1)**2*(k + 2)**2 Let b(p) be the third derivative of p**6/540 - 4*p**5/135 + 7*p**4/108 - p**2 + 32*p. Factor b(q). 2*q*(q - 7)*(q - 1)/9 Let y(v) be the first derivative of 2/9*v**3 - 3 + 0*v**2 - 2/3*v. Suppose y(g) = 0. What is g? -1, 1 Let w(h) = 8*h**3 + 9*h**2 - h - 9. Let k(o) = 4*o**3 + 4*o**2 - 4. Let g(p) = -7*k(p) + 4*w(p). Factor g(v). 4*(v - 1)*(v + 1)*(v + 2) Let u(g) = -g**3 + 3*g. Let j(p) = p**3 + 2*p**2 - 2*p. Let x(i) = 2*i**3 + 5*i**2 - 3*i. Let q(y) = 5*j(y) - 2*x(y). Let r(s) = 2*q(s) + 3*u(s). Factor r(m). -m*(m - 1)*(m + 1) Suppose 5*z - 63 = -2*x - x, x - 2*z = 32. Factor -8*q**2 - x + 24*q + 5 + 3. -2*(2*q - 3)**2 Let t(r) be the second derivative of 49*r**6/165 - 7*r**5/11 - 199*r**4/66 - 92*r**3/33 - 12*r**2/11 - 4*r. Let t(m) = 0. What is m? -1, -2/7, 3 Suppose -3*r - 3*m - m = -3, 5*r - 40 = 5*m. Suppose -r = -2*k - 1. Factor 2/7*b**k + 2/7*b + 0. 2*b*(b + 1)/7 Let f = -797 + 2392/3. Factor 0*s + 0*s**2 + 0 + 1/6*s**5 + f*s**4 + 1/6*s**3. s**3*(s + 1)**2/6 Factor -14*x**4 - 2*x**3 + 12*x**3 - 10*x**2 + 14*x**2. -2*x**2*(x - 1)*(7*x + 2) Let m(o) be the second derivative of 2*o + 0 + 0*o**2 - 1/6*o**4 + 0*o**3. Let m(q) = 0. What is q? 0 Let d be ((-4)/10)/(0 - 1). Let b be (-9)/30*(-40)/30. Factor -4/5*k**2 + b*k**3 + d*k + 0. 2*k*(k - 1)**2/5 Let c(o) = -5*o**3 + 8*o**2 - 11*o - 3. Let f(d) = -6*d**3 + 8*d**2 - 12*d - 4. Let y(m) = -4*c(m) + 3*f(m). Solve y(g) = 0. 0, 2 Let j(v) be the third derivative of -v**7/735 + 2*v**6/105 - 4*v**5/35 + 8*v**4/21 - 16*v**3/21 - 21*v**2. Solve j(l) = 0. 2 Let n = -6 - -8. Suppose 3*v + 12 = -3*o, 4*v - 2*o - 9 + 1 = 0. Factor -2/3*k**n + 0 + v*k. -2*k**2/3 Let h be 104/10*4/16. Let k = h - 21/10. Factor -3/2*y**4 + 3/2*y - y**3 + y**2 - k*y**5 + 1/2. -(y - 1)*(y + 1)**4/2 Let f be (-2)/((-12)/(-9) + -2). Suppose g + f*g - 16 = 0. Factor -4*b**4 - b**4 - b**5 - b**4 + 4*b**g + 2*b**2 + b. -b*(b - 1)*(b + 1)**3 Let u(p) be the third derivative of p**6/20 - 8*p**5/15 + 5*p**4/4 + 6*p**3 - 19*p**2. Factor u(i). 2*(i - 3)**2*(3*i + 2) Let c(r) be the second derivative of r**8/1344 - r**6/480 - r**2 + r. Let q(z) be the first derivative of c(z). Determine d so that q(d) = 0. -1, 0, 1 Let d(o) be the third derivative of 0*o + 0*o**4 + 0 + 1/280*o**6 + 3*o**2 - 1/140*o**5 + 0*o**3. Factor d(f). 3*f**2*(f - 1)/7 Let i be 1 - (-5 - -2)*-1. Let c be i/(-40) - (-3)/4. Find h such that 11/5*h + c*h**3 - 13/5*h**2 - 2/5 = 0. 1/4, 1, 2 Suppose -83 = -4*k + 1. Let u be k/(-18) - (-15)/10. Find a, given that 1/3*a**3 + 1/3*a**2 - 1/3 - u*a = 0. -1, 1 Let f(j) be the third derivative of j**5/60 + j**4/6 + j**3/2 - 3*j**2. Factor f(t). (t + 1)*(t + 3) Let 0*g**3 + g**3 - g**4 - 4*g**5 + 3*g**5 + 5*g**2 - 4*g**2 = 0. What is g? -1, 0, 1 Suppose 18*o = 16*o + 4. Find p such that -6/5*p + 4/5 - 14/5*p**3 - 24/5*p**o = 0. -1, 2/7 Let o(f) = 6 - 3 - f**3 - 6*f**2 - f**2. Let z be o(-7). Solve 3*j**3 - j - 3*j**2 + 6*j**4 - 2*j - z*j**4 = 0 for j. -1, 0, 1 Let g(u) be the first derivative of 0*u - 2/3*u**3 + 0*u**2 - 1/105*u**5 - 1/21*u**4 - 1/1260*u**6 + 1. Let z(o) be the third derivative of g(o). Factor z(a). -2*(a + 2)**2/7 Let u(c) be the second derivative of 0*c**3 - 2*c + 0*c**2 + 0 + 1/12*c**4. Let u(v) = 0. What is v? 0 Suppose a = 6*a + 70. Let o = -10 - a. Factor -11*m - 1 - 21*m**2 - 1 - 8*m**o - 17*m**3 + 3*m**4. -(m + 1)**3*(5*m + 2) Let g(a) be the third derivative of 0 + 3*a**2 + 7/12*a**4 - 7/60*a**6 + 2/3*a**3 + 0*a - 1/15*a**5. Factor g(v). -2*(v - 1)*(v + 1)*(7*v + 2) Let x = 93/202 - -4/101. Factor x*r + 1/2*r**2 - 1. (r - 1)*(r + 2)/2 Let v(k) be the second derivative of 0 - 1/20*k**5 - 1/24*k**4 - k + 0*k**3 - 1/60*k**6 + 0*k**2. Factor v(p). -p**2*(p + 1)**2/2 Let s(k) be the third derivative of 0*k**3 + 0*k - 1/105*k**7 + 0 + 1/30*k**5 - 1/30*k**6 + 1/6*k**4 - 3*k**2. Factor s(a). -2*a*(a - 1)*(a + 1)*(a + 2) Factor 9*y**4 - 2*y**5 - y**5 - 7 - 6*y**3 + 7. -3*y**3*(y - 2)*(y - 1) Let c(u) = -60*u**3 - 59*u**2 + 5*u + 4. Let j(x) = x**3 - x. Let n(q) = 5*c(q) - 15*j(q). Suppose n(h) = 0. Calculate h. -1, -2/9, 2/7 Let z(v) be the second derivative of -v**6/6 - v**5/4 + 5*v**4/2 + 10*v**3/3 - 20*v**2 + v. Find h such that z(h) = 0. -2, 1, 2 Let k(x) be the first derivative of x**6/36 - x**5/20 - x**4/6 - x**3 - 2. Let r(v) be the third derivative of k(v). Factor r(o). 2*(o - 1)*(5*o + 2) Determine b, given that 0*b**2 + 1/2*b**3 - 1/2*b + 0 = 0. -1, 0, 1 Let y(f) be the third derivative of f**5/40 + 7*f**4/64 - f**3/8 + 12*f**2. Find w such that y(w) = 0. -2, 1/4 Let g(r) be the first derivative of 3 + r**2 + 0*r - 4/3*r**3 + 1/2*r**4. Factor g(i). 2*i*(i - 1)**2 Let h(z) = -3*z**2 - z. Let d(m) = 6*m**2 + 3*m. Let r(q) = -4*d(q) - 9*h(q). Suppose r(s) = 0. Calculate s. 0, 1 Let z(t) be the first derivative of -2*t**9/2079 + 17*t**7/4620 - t**5/660 - t**3 + 3. Let p(f) be the third derivative of z(f). Find w such that p(w) = 0. -1, -1/4, 0, 1/4, 1 Determine t so that 1/4*t**3 + 3/4 + 5/4*t**2 + 7/4*t = 0. -3, -1 Let k(r) = -2*r - 7. Let q be k(-6). Let l(a) = -a**2 - 9*a + 2. Let o be l(-9). Find u such that -1 - q + 10*u**2 + o + 6*u = 0. -1, 2/5 Factor -2*u + 6*u**2 + 0*u**2 - 2*u**3 + 0*u**2 - 2*u**2. -2*u*(u - 1)**2 Let n(i) = i**2 - i + 4. Let g be n(0). Let t(z) = 5*z**3 - 11*z**2 + 6*z. Let s(h) = h**3 - 2*h**2 + h. Let q(x) = g*t(x) - 22*s(x). Find w such that q(w) = 0. -1, 0, 1 Let f(y) be the third derivative of -1/30*y**4 + 0*y**3 + 1/150*y**6 - 4*y**2 + 0 + 0*y - 1/150*y**5 + 1/525*y**7. Find a such that f(a) = 0. -2, -1, 0, 1 Let p = -5 + 5. Let z(t) be the third derivative of 1/90*t**5 - t**2 + 0*t + 1/180*t**6 + 0*t**3 + p + 0*t**4. Factor z(q). 2*q**2*(q + 1)/3 Let w(i) be the third derivative of i**8/1176 + i**7/147 + 3*i**6/140 + i**5/30 + i**4/42 + 27*i**2. What is f in w(f) = 0? -2, -1, 0 Let c be -2*((-10)/4 - -2). Let g be -1*(-1)/(c/2). Determine t, given that 0*t - 1/5 + 1/5*t**g = 0. -1, 1 Find t, given that -4/5 - 18/5*t**2 + 6/5*t**4 - 2/5*t**3 + 18/5*t = 0. -2, 1/3, 1
Which is the nearest to 2/13? (a) 2 (b) 1/7 (c) 33 (d) 9 (e) 8 b Which is the nearest to 10? (a) 4 (b) 1/83 (c) -0.12 a Which is the closest to 0? (a) -5182.3 (b) -1 (c) 0.3 c What is the nearest to -0.1 in 0.9, 1/2, -3, 0.002? 0.002 What is the nearest to -1.8 in 0.05, -1, 1/7, -48, -2/5? -1 What is the nearest to -6 in -2/9, -2/3, -0.6, -0.02? -2/3 Which is the closest to -2? (a) -2 (b) -2/5 (c) -9 (d) -0.13 a Which is the closest to 0? (a) 40 (b) -0.2 (c) 0 (d) 1/4 c Which is the closest to 563? (a) -2.1 (b) -4 (c) -1 c What is the closest to -10033 in 2/13, 0.2, -1/5? -1/5 Which is the closest to 682? (a) 3/5 (b) 13 (c) 5 b Which is the nearest to -1? (a) -650 (b) -3 (c) -0.3 c What is the closest to 1/4 in -1/3, 0.3, -2/7, -4? 0.3 What is the nearest to -0.09 in 0, -103, 1, -4? 0 What is the nearest to -4/3 in 0.06, -4, -1, -0.02, 19? -1 Which is the closest to -1? (a) 3/4 (b) -3/2 (c) -5/2 (d) -1/160 (e) 7 b What is the closest to 1/2 in 1/6, -2/5, 239, -23/10? 1/6 What is the closest to 10 in 4, -4, 4/5, 0.18? 4 Which is the closest to 0? (a) 4 (b) -2/33513 (c) -5 (d) -1/5 (e) 0.1 b Which is the closest to -1/2? (a) 70 (b) 1/25 (c) 2/55 (d) -0.5 d Which is the nearest to -0.52? (a) 2 (b) 13/4 (c) -4 (d) -2 d What is the nearest to 10 in 1, 2/5, -30, 29? 1 Which is the nearest to 0.3? (a) 2/7 (b) -4 (c) -0.89 a What is the closest to 0.2 in -2/11, 280, 0.2, 4, 5? 0.2 Which is the nearest to 0.1? (a) -0.9 (b) 18 (c) -0.4 (d) 0.5 (e) 0 e Which is the closest to -1/2? (a) 4587 (b) 0.2 (c) 0 (d) 0.07 c Which is the closest to 0.2? (a) -0.5 (b) 3/112 (c) 53 b Which is the closest to 1? (a) -0.1 (b) -5 (c) 0.2 (d) 42 (e) 0.18 c Which is the closest to 1/7? (a) 0.1 (b) -95 (c) 64 a What is the closest to 0 in 4, 0.007, -2/3, 87/4? 0.007 What is the nearest to -0.057 in 33, 3, -3? -3 What is the closest to -3 in 4/9, -1, 0.056, -6/11? -1 Which is the closest to -2942? (a) -2 (b) 3 (c) 1.2 a What is the nearest to 228 in -1/6, 7/13, 3/2, 2, -0.5? 2 Which is the nearest to -0.1? (a) 0 (b) -0.053 (c) 1 (d) -0.4 (e) 37 b Which is the closest to -0.1? (a) -1.527 (b) -2 (c) 2/31 c What is the nearest to -1/3 in 65.1, -15, -0.1, -3? -0.1 Which is the closest to 56? (a) -4 (b) 8/9 (c) 0.4 b Which is the nearest to -1? (a) 0.1 (b) 35/587 (c) -3 b Which is the closest to 0.166? (a) -1/2 (b) -5 (c) 28 (d) -2 (e) -2/3 a Which is the closest to 460? (a) 2/37 (b) 5 (c) 3 b What is the nearest to -0.1 in 1, -5/17, 28? -5/17 What is the closest to 0.5 in 732, 2.58, -2/7? -2/7 What is the closest to -2 in 7594, -5, -4? -4 What is the nearest to -296 in -27/5, -42, -1/4? -42 Which is the closest to 0? (a) -0.2 (b) -3507.68 (c) -1 a Which is the closest to 0? (a) -1 (b) 2/9 (c) -0.9 (d) 0.02 (e) -2/5 d Which is the nearest to 1/4? (a) -5/4 (b) -1/7 (c) -0.2 (d) 0 (e) 76 d What is the closest to 47 in -3, -4, 3, -6/11? 3 What is the nearest to -1 in 8, -0.1, -3121, 10? -0.1 What is the closest to -993 in -25.4, 1, -2? -25.4 Which is the closest to 12.5? (a) 0 (b) 76/21 (c) 4 c Which is the closest to 2/9? (a) -4 (b) -1 (c) 1.2 (d) -770 c What is the closest to 0 in -0.3, -0.2, 1/2080, 0.7? 1/2080 What is the closest to 9 in 0.06, 15/4, -1/8, -2/9? 15/4 Which is the nearest to 1? (a) 1 (b) -0.1 (c) -6 (d) -1550 (e) -0.2 a Which is the nearest to 2/7? (a) -0.043311 (b) -2/3 (c) 0 (d) -3 (e) 0.5 e What is the closest to -2/5 in 5, 4, -2/35, 7/79? -2/35 Which is the closest to 1? (a) -356 (b) -5 (c) -12 b Which is the closest to -0.1? (a) 0.1 (b) -49 (c) 2/11 (d) 5 (e) 0 e Which is the nearest to 0? (a) 2 (b) -0.5 (c) 35 (d) 0.7 (e) 0.4 e Which is the closest to -277? (a) -0.5 (b) -541/4 (c) 2 b Which is the closest to -2? (a) -1023 (b) 2/9 (c) 11 b What is the closest to 1/64 in 4/5, 2/5, -2, -1, 0? 0 Which is the closest to -1? (a) -53 (b) -0.3 (c) -5 (d) 95 b What is the nearest to 5283 in 11, -5, 1/19? 11 What is the nearest to -18/7 in 0.06, 3, -1/3, -0.3, -13? -1/3 Which is the nearest to -0.05? (a) 0 (b) 8 (c) -2/375 c What is the nearest to -9 in 8238, 1/8, 5, 1/3, -1? -1 What is the closest to 69810 in -1/2, 0, 2, 4? 4 What is the closest to 1 in 0, 1, 102, 5/2, -0.1? 1 What is the nearest to -3 in 4, -2, -3/176? -2 What is the nearest to 2/7 in -671, -5, -1/27? -1/27 What is the closest to -9 in 15, 2/15, 3, -0.5? -0.5 What is the nearest to -3/8 in 0.3, -1.06, 4, -0.2, -2/5? -2/5 What is the closest to 3/2 in 1, 3/2, 0, 71? 3/2 Which is the nearest to 111? (a) -2 (b) 4/7 (c) 2 (d) 12 (e) 5 d What is the nearest to -0.4803 in 10, 6, -1, 0.2, 2/3? -1 What is the nearest to 20 in -2, -0.25, -2/5, 0? 0 What is the nearest to -1 in 5, -44, 4, -1/20? -1/20 What is the closest to 1 in -0.5, -23/5, -37, -3, -0.3? -0.3 Which is the closest to -3/509? (a) -5 (b) 0.3 (c) -1/7 (d) -1 c Which is the closest to 1? (a) -0.26 (b) -0.3 (c) 159/7 (d) -3 a What is the closest to 6334 in -19, -0.5, 3? 3 Which is the nearest to -2? (a) -3/5 (b) -236 (c) 2/5 (d) -1/5 (e) -3 e What is the closest to -7/19 in -4, 2, 113? 2 Which is the nearest to -1/2? (a) -1 (b) 11/5 (c) 2 (d) 2/13 (e) 36 a What is the nearest to -14/3 in -1/4, -3, -0.3? -3 What is the closest to -1/6 in 5, -13, 0.18, 4? 0.18 What is the closest to 3/38 in -4.2, 0, 0.01? 0.01 What is the nearest to 4/3 in -4, 2, 60, -1/3, -1? 2 Which is the nearest to -11? (a) -2 (b) 4/3 (c) -521 a Which is the nearest to -1/8? (a) -1/5 (b) 3/5 (c) -2 (d) 43122 a Which is the nearest to 0? (a) -1/2 (b) -0.3 (c) -4/15 (d) -55 c Which is the closest to 2/5? (a) 3 (b) 0.4 (c) 1613 (d) -0.1 b Which is the closest to 0.1? (a) 0.4 (b) -63410 (c) 1 a What is the nearest to -102 in 4, 0.23, -0.07? -0.07 What is the nearest to 0.03 in 100, 0.1, -5? 0.1 What is the closest to -1340 in -22, 4/7, 0, -1/7? -22 Which is the closest to 112? (a) -0.3 (b) 2/43 (c) -0.01 b What is the closest to 2.1 in 0.06, -2/23, 4? 4 What is the closest to 3 in -0.2, 3, -4, -1562/5? 3 What is the nearest to -1 in -4, -11, -28, -2/3? -2/3 Which is the nearest to -9? (a) 0.3 (b) 2 (c) -113 a What is the nearest to -3 in -1570, 1/25, 3? 1/25 Which is the closest to 0? (a) 2052 (b) -0.1 (c) -0.5 (d) 2/3 b Which is the nearest to 1/3? (a) -4 (b) -32.2 (c) -2/5 c Which is the nearest to -55? (a) 3/7 (b) 4 (c) -43 c What is the closest to 0 in 4, 0.01, -0.5, -3, -67? 0.01 What is the closest to 286/7 in 0, 1/4, -1/4, 4? 4 Which is the nearest to -345? (a) -0.4 (b) 6/11 (c) 2/11 (d) 1 a Which is the closest to -5? (a) 3/8 (b) 7/5 (c) -3 (d) 5/14 c Which is the nearest to -3? (a) -110 (b) -4 (c) 0.04 (d) 2 b What is the closest to 2/7 in -2, -19, -1062? -2 What is the nearest to 0.07 in -5, -2/11, -0.2, -4, -51? -2/11 Which is the nearest to -38057? (a) 0 (b) 2 (c) 0.4 a Which is the closest to 12.5? (a) 55 (b) -2 (c) -3 b What is the nearest to -2/7 in 2, -1/88, 1/7, 8.5? -1/88 What is the closest to 1 in 0.2, 851, -2/137? 0.2 What is the closest to -1/51 in 2/7, 77, -0.4? 2/7 Which is the closest to -1? (a) -7 (b) 1 (c) 0.3 (d) -0.0851 (e) -2 d What is the closest to -12 in 12, 3/8, 1/554? 1/554 Which is the closest to 2/5? (a) -24 (b) 3 (c) -51 b What is the nearest to 1 in 3/2, -12, -3, 38? 3/2 What is the nearest to 2/13 in -6, 4, -41, -0.5, -0.3? -0.3 What is the nearest to 7 in -1, 22/125, 2/19, -4? 22/125 Which is the nearest to 2? (a) 11/16 (b) 0.02 (c) 32/7 a Which is the closest to -114? (a) 4 (b) 6 (c) 0.3 (d) -3/2 (e) -3 e Which is the closest to -4? (a) -4 (b) 0.02 (c) 2/7 (d) -2/21 (e) -1 a What is the closest to 0.07444 in -3, 2/45, -3/5? 2/45 Which is the closest to 1? (a) 1.8 (b) -2/11 (c) 2/13 (d) -5 (e) -0.07 a Which is the nearest to 107? (a) 4/3 (b) 1/5 (c) -4 (d) -0.2 a Which is the nearest to -0.05? (a) 1 (b) -4/9 (c) 12.176 b What is the closest to 1/5 in -0.5, -2, 2/47, -66? 2/47 Which is the closest to -20/9? (a) 5 (b) 13/2 (c) 0 c What is the closest to -1 in 10.1, -5, -37, 0.1? 0.1 What is the nearest to -1 in 1/5, 0.5, -6/7, 705/8? -6/7 Which is the nearest to 9? (a) 2/153 (b) 3/7 (c) -11 b What is the nearest to 0 in 0.2, -0.1, -103732? -0.1 Which is the closest to 0? (a) -2/5 (b) -332/7 (c) -9 a Which is the nearest to -1.2? (a) 1 (b) 4/7 (c) -3 (d) -1/7 (e) -0.5 e What is the closest to 0 in -2, 5/9, 0.01653? 0.01653 Which is the closest to -0.1? (a) 5 (b) 3135/26 (c) 0.1 c
Let j be (3/3)/(73/(-50) + (-30)/(-20)). Solve 0 = 48*x - j*x + 161 for x. -7 Suppose 564 = 5*k + 444. Solve -4*n - k = 2*n for n. -4 Suppose -4057 = -57*w + 2270. Suppose 0 = 35*k - w + 6. Solve 8 = -k*h + 2 for h. -2 Let p = 25 + -39. Let s be (p/(-42))/((-1)/(-18)). Let i be (-27)/(-18) + s/(-4). Solve 2*n + n - 12 = i for n. 4 Suppose x = -0*n - 3*n + 9, -2*x = 6. Suppose 13*y - 15 = 12*y. Suppose 5 = 5*o - y. Solve n = -0*m + o*m for m. 1 Let a be ((-14)/(-2)*390/273)/1. Solve 56 = a*l + 18*l for l. 2 Let f be -8 - (-4 + 7) - -108. Solve -2*p - 91 + f = 0 for p. 3 Let x = 1050 - 1002. Solve -x*i + 57*i + 18 = 0 for i. -2 Let q be (-2)/(-2)*(2 - ((-1560)/12)/10). Solve 5*l - 100 = -q*l for l. 5 Let q = 50 - -52. Let i = q + -87. Suppose -2*m + 5*v = i, 2*v - 4*v = -6. Solve 2*y - y + 3 = m for y. -3 Let r(l) = 405*l + 1623. Let v be r(-4). Let f(d) = -2*d - 4. Let b be f(-7). Let a = b + -7. Solve 6*o = a*o + v for o. 1 Let m be 1/4 - (3 + (-165)/12). Let g be 1 + 6/(-1) + m. Solve -g*j + 5*j = 0 for j. 0 Let m(y) = -36*y - 81. Let j be m(-6). Solve -170 = 5*g - j for g. -7 Let j(o) = -16*o - 69. Let w be j(-4). Let f(d) = d + 8. Let y be f(w). Solve y*m = 8*m + 25 for m. -5 Let t(z) = 24*z + 22. Let u be t(-1). Let l(s) = s**3 + 8*s**2 + 11*s. Let w be l(u). Solve -k + 2 = -w*k for k. -2 Let b be 21 + ((-39)/(-26))/(-6 + 138/24). Solve 184 = b*h - 61*h for h. -4 Suppose -5*m - 865 = -4*q, 1050 = 5*q - 4*m - 20. Solve 62*k + q = 20*k for k. -5 Suppose 3*v - 27 = 5*t, 5*v - 36 = 3*t + 25. Suppose -40 = -v*d + 30. Solve 4*p + d = 5*p for p. 5 Suppose 0 = -324*y - 21828 + 126804. Solve 303*r - y*r = -42 for r. 2 Let p(x) = -x**2 - x + 45. Let u be p(6). Let d(v) = -3*v + 11. Let m be d(-7). Suppose -t - 2*t = 2*a - m, 2*t - 5*a - 34 = 0. Solve -t = z + u*z for z. -3 Let w = 0 + -73. Let i = w - -76. Suppose i*v + 5*f = -2*v + 25, 0 = -5*f + 15. Solve 0 = -v*n + 2 for n. 1 Let i(o) = -19*o - 103. Let c be i(-8). Solve 2*q + 59 - c = 0 for q. -5 Let f be (-15)/(-5) - -13 - 8. Suppose -2*o + 2 = -5*b + f, 3*o + 2*b - 10 = 0. Solve o*a + 3 = -a for a. -1 Let g = -604 + 626. Let n(s) = s**3 - 21*s**2 - 20*s - 44. Let j be n(g). Solve -5*t + 1 + 4 = j for t. 1 Let k be (-4556)/(-1139) + (1 - (-420 + 0 + 0)). Solve -48 = k*f - 441*f for f. 3 Let h(p) = 3*p**3 + 263*p**2 - 87*p + 124. Let r be h(-88). Solve r = -5*z - 4*z for z. -4 Let f = 2767 + -2728. Solve -f = y - 35 for y. -4 Suppose -4 = -2*c - 4*t, 35*t - 3 + 5 = c. Let a be -20*(3/(-1) + 1). Suppose 4 = 2*y + 2*y - 3*b, -5*y = 5*b - a. Solve 0*z - c*z + y = 0 for z. 2 Let o be (-2)/3*(2 + -5). Suppose t + x = 1, 5*t - 30*x - 4 = -34*x. Solve t*d = o*d + 5*d for d. 0 Suppose 12 = -3*u + 5*s, 4*u - 48 = 81*s - 85*s. Suppose -p = 3*w - 95, -2*w - 115 = -5*w - 5*p. Suppose w = -0*g + u*g. Solve 4 + 1 = g*m for m. 1 Let k(r) = -r**2 - 3*r + 77. Let c be k(7). Suppose 3*a - 2*o - 17 = 0, 4*o + c = 5*a - 22. Solve 4*i = 9*i + a for i. -1 Suppose 0 = -3*r - 11 + 203. Solve -44*f = -r*f - 40 for f. -2 Let x(g) = 5*g**3 - 11*g**2 - 57*g - 60. Let d be x(5). Suppose h - 4*h + 57 = 0. Let r be 4/(-6)*(-3)/2. Solve -d*c + r = -h for c. 4 Suppose 2*w + 70 = 9*w. Suppose 0 = -3*i - t - 424 + 474, -4*i + 35 = -5*t. Solve w*j - i*j = -20 for j. 4 Let d = 14 + -55. Let n = -1083 - -1140. Let q = d + n. Solve 0*m = -4*m + q for m. 4 Let l be ((-744)/992)/(2/(-16)*1) - -1. Solve j = l*j for j. 0 Let p(g) = 7*g**3 - 216*g**2 - 41*g + 361. Let u be p(31). Solve 31*w - 738 = -u*w for w. 9 Let y(q) = -q**2 + 4*q + 26. Let u be y(-3). Suppose h = -3, -u*g + 1 = 2*h - 3. Solve -3*i + g = -1 for i. 1 Let x(m) = 14*m + 114. Let w be x(-8). Suppose w*r = 22 - 12, -2*a + 31 = -5*r. Solve -a = -3*t - 37 for t. -3 Suppose 228*p - 16363 = 15785. Solve -p = -6*a - 153 for a. -2 Let a(k) = 91*k - 182. Let j be a(2). Solve -30*z + 27*z = j for z. 0 Suppose 3*u = -2*u + 270. Let y = u - 45. Let r be (12/(-18))/((-6)/y). Solve -5*i - r + 6 = 0 for i. 1 Let v be ((-73)/(-3))/(4/(-12)). Let s = v + 79. Suppose 5*o + 2*c = s, 8 = -3*o - 5*c + 23. Solve o*a = a + 1 for a. -1 Let t = 655 - 649. Solve 66 = -t*k + 78 for k. 2 Let o be (-4)/(-30) - ((-24)/54 - (-181990)/(-450)). Solve 396*l = o*l + 63 for l. -7 Suppose -3*k - 21 + 24 = 0. Let u(r) = -2*r**3 + 13*r**2 + 7*r + 7. Let w be u(7). Let l = 10 - w. Solve -k = -a - l for a. -2 Let n = 10230 + -10224. Solve 107*l = 104*l + n for l. 2 Suppose -8654*t = -8648*t - 30. Solve -t*z + 113 = 98 for z. 3 Suppose 0 = -d - 1 + 2. Let c be (-1894)/6 + 6/9. Let f = -313 - c. Solve -i - f + d = 0 for i. -1 Let v be ((-396)/11)/(39/(-6) + 5). Solve -3*a + v = 15 for a. 3 Let w(c) = c**3 - 5*c**2 - 7*c + 14. Let g be w(6). Suppose g = 4*s - 0. Let p(a) = -a**3 + 8*a**2 - 13*a - 6. Let v be p(5). Solve y + v = s for y. -2 Let p(v) = v + 9. Let b be p(-4). Suppose b*l - l = 64. Suppose 0 = 17*o - l*o - 3. Solve 2*j + o*j = 0 for j. 0 Suppose -13*g - 26 = -26. Suppose m + g*m + 5*v - 5 = 0, -3*m - 5*v = -25. Solve -10 = m*h + 20 for h. -3 Let g be (306/(-5))/((936/(-90))/26). Solve 2*z + g = 147 for z. -3 Let x(z) = z**3 + 5*z**2 + z + 1. Let i be x(-5). Let a be 1*i*(-5)/10. Let n = -22 - -26. Solve -t + n = -a*t for t. -4 Suppose 4*u + 622 = -5*w, -5*w = -2*w - u + 363. Let j = 130 + w. Solve -10*x = -j*x for x. 0 Let i(b) = b**3 - 2*b**2 + 2*b - 4. Suppose -4*a - 1 + 4 = 5*h, 12 = 5*a - 2*h. Let x be i(a). Solve 18 = -9*q - x*q for q. -2 Let g be 40 - 17 - -17 - (0 - -1). Solve -80*o = -g*o + 369 for o. -9 Suppose 5 = 39*y - 41*y - x, 0 = -3*y + 4*x + 20. Solve y = 66*d - 120 - 78 for d. 3 Suppose 0 = -4*d + 11 - 3. Suppose 4*y + 77 = -d*m + 221, 0 = -y + 1. Suppose 7*b - m + 14 = 0. Solve -b = r - 3*r for r. 4 Let o be 2/(2/9 - (-68)/153). Let v be (-46)/(-6) + 3/9. Solve j + v = -o*j for j. -2 Suppose -26 = 6*o + 34. Let m be -45*(-2)/((-1)/(4/o)). Suppose 0 = -4*v - 4*r + m, 5 = 3*r + 2*r. Solve -v = -5*a - 28 for a. -4 Let p = -417 + 283. Let m be (-2)/6 - (12 + p/6). Solve -4*n - m = n for n. -2 Let g be 12/(-7)*((-21)/6 - 0). Suppose 19*c - 15*c = -12, 2*s + 4*c = -g. Solve -s*b = -1 - 2 for b. 1 Let q be 779/(-57) + 14 - ((-58)/3)/2. Solve -q*c + 48 = -12 for c. 6 Suppose -5*x - 3*c = -3*x - 62, x = 4*c + 9. Suppose 0 = 2*b + 3*l - x, 6*l - 5*l - 20 = -3*b. Solve -11 = -4*r + b for r. 4 Suppose 3723 = -69*a + 288*a. Solve -16*q - 165 = a*q for q. -5 Let y(m) = 19*m**2 + 5*m - 1. Let u be y(-2). Let d = -63 + u. Solve -b = -2 - d for b. 4 Let u(g) = -25*g**2 + 10*g - 5. Let v(b) = 5*b**2 - 2*b + 1. Let w(h) = 4*u(h) + 22*v(h). Let s be w(1). Suppose 14*d = 10*d + s. Solve 8 = d*a + 2*a for a. 2 Suppose -5*x = -3*o - 0*x + 18, -2*o - 4*x = -12. Suppose -o*k = -11*k. Suppose k = 9*l + 13 - 40. Solve 0 = -4*n - 5 - l for n. -2 Suppose 9*i - 47*i + 563325 = 137*i. Solve 35 = 3224*f - i*f for f. 7 Let x(d) be the first derivative of -41*d**2/2 + 18*d + 158. Let a be x(0). Solve -10*n = -n + a for n. -2 Let x(q) = 6*q - 12. Let v be x(0). Let g = 19 + v. Let j be 0 + (g - 4 - 3). Solve -3*l - l + 8 = j for l. 2 Suppose 3914 = 23*g + 3178. Solve -89*t - g = -73*t for t. -2 Suppose -2*h + 114 = -3*m, -6 = -567*m + 570*m. Solve 3 = 17*u + h for u. -3 Let p(m) = -31*m + 9. Let n be p(0). Suppose 0 = -n*j + 214 - 16. Solve -3*u - 37 = -j for u. -5 Let m be (3 - 2)*(-1)/(2106/(-420) - -5). Solve -m = 9*y - 19*y for y. 7 Suppose 5*u + 4*v = -33, 5*u + 36 = -10*v + 7*v. Let o = -21 - u. Let x be (2/(-8) - 11/o)*3. Solve -g = -x*g - 4 for g. -4 Let b(i) = i**3 + 13*i**2 + 46*i + 21. Let t be b(-7). Let r(g) = -5*g - g**2 + 2*g - 5*g - 3. Let o be r(t). Solve o = -3*d - d for d. -1 Suppose 3*z - 126 = -5*b, 42 = b - z + 12. Solve 0 = -b*o - 82 + 28 for o. -2 Suppose 131*l = 250*l - 125*l + 108. Solve 0 = -18*d - 18 - l for d. -2 Suppose 2*c - 2*t = 0, -4*c + 5 = 3*t - 2. Suppose 4*u - 36 = 2*h, 1109*h + 27 = u + 1104*h. Solve 3*y = u - c for y. 2 Suppose 5*z - 6 = q, -z = -2*q + 4*q - 10. Suppose -130*s = 189 - 1021 - 988. Solve -s*f + 13*f = -z for f. 2 Let z(d) = -d + 6. Let u be z(-12). Suppose 0 = 7*t - 3*t + 2*f + u, -t + f - 12 = 0. Let m = 15 + t. Solve 3*l - l = -m for l. -4 Suppose d + 1 = 0, 0 = 3*u + d - 2 - 3. Suppose -8 = -2*q - u*q. Suppose -111*z - 10 = -110*z - 2*k, 4*k - 20 = 5*z. Solve z = -i + 1 - q for i. -1 Let z = -14483 - -14488. Solve z*i + 37*i + 252 = 0 for i. -6 Suppose 5*r - 3635 = 55*h - 60*h, h = r + 725. Solve h = 7*a + 698 for a. 4 Let f = 77 - 76. Suppose -x = 4 - 0. Let r be x/f - (6 + -10). Solve r*c + 5 = c for c. 5
Simplify -4 + (6*sqrt(24)/sqrt(2))/(sqrt(6) + 4*sqrt(24)/sqrt(4)). -4 + 6*sqrt(2)/5 Simplify sqrt(2299) - 1*(-4*sqrt(2299))**2. -36784 + 11*sqrt(19) Simplify (-2*2*sqrt(5)*-3 - (sqrt(20) + (sqrt(20) - (sqrt(1620)*-1 - sqrt(1620))))/sqrt(4))**2. 320 Simplify (4 + 0 + sqrt(891) + -1)**2 + -5. 54*sqrt(11) + 895 Simplify -4 + 3 + -2*sqrt(275). -10*sqrt(11) - 1 Simplify (sqrt(76) + (-2 + sqrt(76))*4 - sqrt(76))**2 - (2 + (-1*sqrt(76))**2). -128*sqrt(19) + 1202 Simplify (sqrt(308)/(sqrt(14)/sqrt(2) - sqrt(7) - sqrt(7)))/(sqrt(4)*1*1). -sqrt(11) Simplify (sqrt(76) + (1*sqrt(76)*6 - sqrt(76)))/(sqrt(4) + 1*sqrt(64)). 6*sqrt(19)/5 Simplify -3*(sqrt(13) + -3) + -5*sqrt(65)/sqrt(5). -8*sqrt(13) + 9 Simplify -4 + (sqrt(5) + 1 + sqrt(5))*-4 + (2 + (sqrt(5) + 1)*6)**2. 88*sqrt(5) + 236 Simplify ((sqrt(110) - ((sqrt(110)*-1 - sqrt(110)) + sqrt(110)))*4 + sqrt(110) + sqrt(110))/(-5*((sqrt(10) - sqrt(360)) + sqrt(10) + sqrt(10))). 2*sqrt(11)/3 Simplify sqrt(119)/(4*(-2*sqrt(7) - sqrt(7)) - sqrt(7)) + (sqrt(68)*1 + 2)**2. 103*sqrt(17)/13 + 72 Simplify sqrt(13)*3 + -3 + sqrt(13) + -1*(sqrt(13)*-3)**2. -120 + 4*sqrt(13) Simplify (4 + sqrt(833) + sqrt(833)*-2 + -2)**2. -28*sqrt(17) + 837 Simplify (-4 + sqrt(176) - (2 + sqrt(11))*-4)**2. 64*sqrt(11) + 720 Simplify (-1*sqrt(144)/sqrt(3)*4)**2. 768 Simplify 3 + (sqrt(156) - -4*sqrt(156)*-3)/sqrt(12). -11*sqrt(13) + 3 Simplify (-2 + (sqrt(1088) - (-2*sqrt(1088)*2 + sqrt(1088)))*-2)**2. 256*sqrt(17) + 69636 Simplify (sqrt(91)/(2*sqrt(7)) - (sqrt(156)*1)/sqrt(12))**2. 13/4 Simplify (-5*sqrt(209)*2)/(1*sqrt(891) + sqrt(891)). -5*sqrt(19)/9 Simplify -4 + 4*((sqrt(208)*-2)**2 + -5). 3304 Simplify (2*1*sqrt(720)*-6)**2. 103680 Simplify ((sqrt(105)/(sqrt(12)/sqrt(4)))/((sqrt(126)/sqrt(2) - sqrt(63) - sqrt(63))/sqrt(9)))**2. 5 Simplify ((sqrt(11) + (sqrt(110) + -2*sqrt(110) + sqrt(110))/sqrt(10))*-5)**2. 275 Simplify (4*sqrt(33)/sqrt(3) + -5)*-5*-1. -25 + 20*sqrt(11) Simplify 1 + 1*sqrt(567)*-6. -54*sqrt(7) + 1 Simplify (3 + (sqrt(325) + -1)**2)*-5. -1645 + 50*sqrt(13) Simplify 4*((sqrt(156) + -3*sqrt(156))/sqrt(12) - ((1 + sqrt(13))*5)**2). -1400 - 208*sqrt(13) Simplify (sqrt(27)*1*2)/(1*sqrt(900)) + 2. sqrt(3)/5 + 2 Simplify (1*sqrt(384)*1)/(sqrt(8)*2*1). 2*sqrt(3) Simplify 1 + (sqrt(7) - (sqrt(847) + 0)) + -1 + sqrt(252) + sqrt(7). -3*sqrt(7) Simplify ((sqrt(144)*-2)/sqrt(12) + sqrt(12) - sqrt(12))/(sqrt(72)/(sqrt(24)/sqrt(2)) + sqrt(6)). -sqrt(2) Simplify (-3*(4 + sqrt(11))**2 - sqrt(11)) + sqrt(121)/sqrt(1331). -274*sqrt(11)/11 - 81 Simplify 2 + sqrt(425) + 2 + sqrt(425) - sqrt(425). 4 + 5*sqrt(17) Simplify (sqrt(1100) + sqrt(1100)*-3)**2 + 3 + sqrt(1100). 10*sqrt(11) + 4403 Simplify 1*(sqrt(20))**2 - 1*(sqrt(5) + -2 - sqrt(5)). 22 Simplify (sqrt(204)*-3*-5)/(sqrt(300) + sqrt(300)*2). sqrt(17) Simplify ((sqrt(228)*2 + sqrt(228) - sqrt(228))*4 + sqrt(228))/(sqrt(1200)*-3 + sqrt(12)). -9*sqrt(19)/29 Simplify (sqrt(272) + 2)*2 - sqrt(272). 4 + 4*sqrt(17) Simplify sqrt(12)/(-2*sqrt(96)). -sqrt(2)/8 Simplify sqrt(117)*-5 - -1*sqrt(208). -11*sqrt(13) Simplify 3*(sqrt(153)/((sqrt(63)*3)/sqrt(7)))**2. 17/3 Simplify -2 + -5*-5*(sqrt(704))**2. 17598 Simplify -2*sqrt(9072) + sqrt(9072). -36*sqrt(7) Simplify (-3 + 2 + -2 + sqrt(99)*1)**2. -18*sqrt(11) + 108 Simplify (((sqrt(78)/sqrt(96) - sqrt(13)) + sqrt(117) + 1)*4)**2. 72*sqrt(13) + 1069 Simplify (sqrt(52) + 6*sqrt(832))/(sqrt(4)*1*2). 25*sqrt(13)/2 Simplify -5 + ((2*(sqrt(3) + 1))**2 + sqrt(3) - 2*1*sqrt(3)). 11 + 7*sqrt(3) Simplify (sqrt(60) + sqrt(960)*-2)/sqrt(12). -7*sqrt(5) Simplify (sqrt(2) + ((sqrt(8)/sqrt(4)*6)**2 - sqrt(2)) - sqrt(24)/sqrt(48))*-6. -432 + 3*sqrt(2) Simplify (sqrt(85) - (sqrt(85) - (sqrt(85)*1 + sqrt(85))*-1))/(sqrt(5) + (sqrt(5) + sqrt(10)/sqrt(2))*-5). 2*sqrt(17)/9 Simplify -6*2*sqrt(7) + -2 + (2*(sqrt(14)/sqrt(2) + 2))**2. 4*sqrt(7) + 42 Simplify (sqrt(5) + 1)*4 - (sqrt(30)*1)/sqrt(6). 4 + 3*sqrt(5) Simplify sqrt(2736)*2 - (-2 + sqrt(19) + -3)**2. -44 + 34*sqrt(19) Simplify -1 + -3*sqrt(2000). -60*sqrt(5) - 1 Simplify (-5 + sqrt(14)/sqrt(7))*6. -30 + 6*sqrt(2) Simplify -2 + sqrt(19) + -1 + -3. -6 + sqrt(19) Simplify -1 + 5*sqrt(19)*-3. -15*sqrt(19) - 1 Simplify -2 + -3*(sqrt(21)/(2*sqrt(7)) + sqrt(3)). -9*sqrt(3)/2 - 2 Simplify -2*((1 + sqrt(112) + sqrt(7))**2 + sqrt(7) + (sqrt(28) + -2 - sqrt(28))). -348 - 22*sqrt(7) Simplify 3 + (sqrt(91) - (sqrt(91) + sqrt(91)*1))/sqrt(7). -sqrt(13) + 3 Simplify (sqrt(18)/(sqrt(6)*2) + sqrt(24)/sqrt(2))**2*-5. -375/4 Simplify (sqrt(3200) + 2 + sqrt(3200) + 3)**2. 800*sqrt(2) + 12825 Simplify (sqrt(77) + sqrt(77) + sqrt(77) + sqrt(77) + (sqrt(77) - ((sqrt(77) - 2*sqrt(77) - sqrt(77)) + sqrt(77)))*-2)/sqrt(7). 0 Simplify (2*sqrt(1053)*-4 + -5 + 5)**2. 67392 Simplify (sqrt(117) + 1)*5. 5 + 15*sqrt(13) Simplify (-6*-3*sqrt(19) + sqrt(19) + sqrt(19) + sqrt(19)*3*4)**2. 19456 Simplify (sqrt(42)/sqrt(27))/(sqrt(7)*2*5) + -1. -1 + sqrt(2)/30 Simplify -5 + 2*sqrt(192). -5 + 16*sqrt(3) Simplify -2*((sqrt(15)/(3*sqrt(3)) - sqrt(5))**2 - sqrt(5))*6. -80/3 + 12*sqrt(5) Simplify 5 + sqrt(68)/(3*1*sqrt(4)). sqrt(17)/3 + 5 Simplify (-4*-1*sqrt(4)/sqrt(2))**2. 32 Simplify sqrt(180)/sqrt(4) - (1 + sqrt(5))*-2. 2 + 5*sqrt(5) Simplify 3 + (-2*sqrt(68))**2 + 3. 278 Simplify (sqrt(343) + -2*(sqrt(343) - 3*sqrt(343) - sqrt(343)))**2 + -1. 16806 Simplify (5*-2*sqrt(170))/sqrt(10)*5. -50*sqrt(17) Simplify (sqrt(243)*3 - sqrt(3) - (sqrt(3) - sqrt(162)/sqrt(6)))**2. 2352 Simplify (sqrt(17) + 1 + -1)**2 + -4. 13 Simplify (-5*sqrt(44) + 2 + sqrt(11) + -1)**2. -18*sqrt(11) + 892 Simplify ((-2*sqrt(4455) - sqrt(4455))/(sqrt(396)*1))**2. 405/4 Simplify (sqrt(38)/(sqrt(2)*1) - (-2*sqrt(152) + sqrt(152))/sqrt(8))**2. 76 Simplify (-5*((sqrt(2057) + sqrt(2057) + 1)*-6 - sqrt(2057)))**2. 42900*sqrt(17) + 8691725 Simplify (sqrt(1584) + 1 + 3 + sqrt(1584))**2. 192*sqrt(11) + 6352 Simplify (sqrt(45) - (sqrt(45) + -2))*-4. -8 Simplify (sqrt(13)*-1 + 3 + -6*sqrt(39)/sqrt(3))**2. -42*sqrt(13) + 646 Simplify -3 + (2*sqrt(12))/sqrt(6). -3 + 2*sqrt(2) Simplify (sqrt(100)/sqrt(5))/sqrt(4) + -1*sqrt(500). -9*sqrt(5) Simplify (2*sqrt(65)/sqrt(5))**2 - (sqrt(65) - -2*sqrt(65))/sqrt(5). -3*sqrt(13) + 52 Simplify (sqrt(48)*-4 - sqrt(12) - sqrt(12))/sqrt(6) - (((sqrt(2) + -1 - sqrt(2))*3 - sqrt(2)) + sqrt(2))*6. -10*sqrt(2) + 18 Simplify (-6*sqrt(612))**2 + -4*(2 + sqrt(17)). -4*sqrt(17) + 22024 Simplify (2*sqrt(3888))/(1*-1*sqrt(9)). -24*sqrt(3) Simplify ((sqrt(162) + 0 + sqrt(162))**2 + sqrt(162) - sqrt(162)) + 1*sqrt(32). 4*sqrt(2) + 648 Simplify (sqrt(39) + (sqrt(39) - sqrt(117)/sqrt(3)*4))/(4*sqrt(48)). -sqrt(13)/8 Simplify sqrt(19) + sqrt(95)/sqrt(5) + 3 + sqrt(19) + (sqrt(95)/sqrt(5) + -4)**2 + sqrt(19). -4*sqrt(19) + 38 Simplify (sqrt(30) + (sqrt(30) - (sqrt(30) + (sqrt(240)/sqrt(392) + sqrt(30) - sqrt(30)))) + sqrt(30))/(5*(sqrt(216) + sqrt(6))). 13*sqrt(5)/245 Simplify (3*sqrt(135)/sqrt(12))**2. 405/4 Simplify (3*sqrt(3))**2*6 - sqrt(24)/(sqrt(8)*3). -sqrt(3)/3 + 162 Simplify 1 + (((sqrt(432)*-2 - sqrt(3)) + sqrt(3))*5)**2. 43201 Simplify 1 + ((sqrt(11) + -1)*-6)**2. -72*sqrt(11) + 433 Simplify sqrt(3) + (sqrt(300) - (-3 + sqrt(300)))**2 - ((-2 + sqrt(3))*-2 - sqrt(3)). 5 + 4*sqrt(3) Simplify (sqrt(110)/(sqrt(10)*-3))**2 + -6*(-2 + sqrt(11)). -6*sqrt(11) + 119/9 Simplify ((sqrt(224) - (sqrt(224) + sqrt(224) + sqrt(224)*-1 + sqrt(224)))/sqrt(8))/(sqrt(196)*1). -sqrt(7)/7 Simplify (4*-1*sqrt(49) + sqrt(49) - sqrt(49))/(sqrt(63)*6). -2*sqrt(7)/9 Simplify 6*(sqrt(2) + sqrt(72)) - (sqrt(2) + (sqrt(2) - (sqrt(2) + 3 + (sqrt(2) - sqrt(6)/sqrt(3))))**2). -9 + 41*sqrt(2) Simplify (sqrt(72) - (sqrt(72) + 1)**2)*5. -365 - 30*sqrt(2) Simplify (sqrt(19) + sqrt(304) + 1 + 5)**2 - (4*(0 + sqrt(1216) + sqrt(1216)))**2. -77313 + 60*sqrt(19) Simplify (-4 + sqrt(1300) + -3 - (0 + -1 + sqrt(1300)))**2. 36 Simplify (sqrt(19) - (sqrt(931))**2*4) + 4*(0 + sqrt(19))**2. -3648 + sqrt(19) Simplify 5 + (5 + (sqrt(304) - (5 + sqrt(304)*-1)))**2. 1221 Simplify (sqrt(272)*-1*5 - sqrt(272))*1 + -3. -24*sqrt(17) - 3 Simplify (-1*sqrt(960))/(-3*(sqrt(12) - (sqrt(12) + sqrt(24)/sqrt(2)) - sqrt(12) - sqrt(12)) - sqrt(12)). -sqrt(5)/2 Simplify (2*3*sqrt(187) - sqrt(187))/sqrt(11). 5*sqrt(17) Simplify (-5*(4 + (-2 + sqrt(847))*2))**2. 84700 Simplify -3 + (-2*sqrt(24))/(-4*sqrt(8) - sqrt(2)). -3 + 4*sqrt(3)/9 Simplify (sqrt(13)*-2 + 0 - 1*sqrt(52)/sqrt(4))**2. 117 Simplify 3*(sqrt(1053)*3 - sqrt(1053)) + sqrt(1053)*-3*-5. 189*sqrt(13) Simplify (sqrt(99) + 0 + sqrt(99) + -3 - sqrt(99)*-1*-1)**2. -18*sqrt(11) + 108 Simplify 2 + 1*sqrt(39)/(sqrt(432) - sqrt(432)*2). -sqrt(13)/12 + 2
What is the greatest common divisor of 9394 and 504592? 1342 What is the greatest common divisor of 3824 and 75888? 16 Calculate the highest common factor of 13804 and 208964. 476 What is the greatest common divisor of 22484 and 259094? 22 Calculate the highest common divisor of 5608 and 128. 8 What is the highest common factor of 12 and 31901600? 4 Calculate the greatest common divisor of 44020 and 1580. 20 What is the highest common divisor of 3497 and 115453455? 3497 Calculate the highest common divisor of 724 and 123039094. 362 Calculate the greatest common factor of 576761 and 90855. 673 Calculate the highest common divisor of 123012 and 1963770. 402 Calculate the highest common divisor of 9155 and 1946353. 1831 What is the greatest common factor of 4746118 and 4709? 277 Calculate the greatest common divisor of 2277 and 2703811. 253 What is the highest common divisor of 9368576 and 24833? 1307 What is the highest common divisor of 1400 and 79397675? 175 What is the greatest common divisor of 1951979 and 636457? 2663 Calculate the greatest common divisor of 23199 and 124146. 627 What is the highest common factor of 72820 and 229472370? 3310 What is the highest common divisor of 5136201 and 63? 63 Calculate the greatest common divisor of 77190 and 11657860. 310 Calculate the greatest common divisor of 6 and 22016361. 3 What is the highest common divisor of 58077876 and 32020? 6404 Calculate the highest common factor of 378825730 and 20. 10 Calculate the highest common factor of 36153 and 1298583. 117 What is the greatest common factor of 2277951 and 375? 3 What is the highest common divisor of 3422 and 110780? 58 What is the greatest common divisor of 582 and 49017? 3 Calculate the highest common divisor of 1808 and 22364. 4 Calculate the highest common divisor of 38635697 and 5864. 733 Calculate the highest common divisor of 984600 and 43300. 100 Calculate the highest common divisor of 8432 and 58414788. 2108 What is the greatest common factor of 84 and 1448292468? 84 Calculate the highest common factor of 5899 and 21424474. 347 Calculate the highest common factor of 934148956 and 1378. 1378 What is the highest common factor of 45030 and 1442480? 190 Calculate the greatest common factor of 209590936 and 83. 83 Calculate the highest common divisor of 75540 and 1323240. 60 What is the greatest common divisor of 92 and 976342364? 92 What is the greatest common divisor of 45 and 653785335? 45 What is the greatest common factor of 309078875 and 81125? 7375 What is the highest common factor of 4269685 and 2345? 35 Calculate the greatest common factor of 3683 and 5548503. 127 What is the greatest common factor of 3349841 and 30061? 1307 What is the highest common divisor of 1065 and 5950865? 355 What is the greatest common divisor of 981 and 16961381? 109 What is the greatest common factor of 8800 and 3353350? 550 Calculate the highest common factor of 850 and 3964162. 34 Calculate the highest common factor of 25176977 and 1414. 707 What is the greatest common divisor of 234229 and 58433? 71 Calculate the highest common factor of 27357869 and 77. 77 What is the greatest common divisor of 164 and 397019277? 41 What is the greatest common factor of 1192175 and 3655? 215 What is the greatest common divisor of 119258468 and 238? 238 Calculate the highest common factor of 15485 and 10645367. 163 Calculate the greatest common factor of 5471549 and 7279. 251 What is the highest common divisor of 14983353 and 14553? 2079 What is the highest common factor of 2915145 and 294? 3 Calculate the greatest common divisor of 16 and 1718814. 2 Calculate the highest common factor of 215100 and 700. 100 Calculate the greatest common factor of 4724 and 725715052. 4724 What is the greatest common divisor of 2404630 and 148? 74 What is the highest common divisor of 58 and 1632816029? 29 Calculate the greatest common factor of 10692 and 3357453. 33 What is the greatest common factor of 2 and 3768059? 1 Calculate the highest common factor of 1050 and 25510590. 210 What is the greatest common factor of 2107428 and 22692? 732 Calculate the greatest common divisor of 2085520 and 26865. 995 What is the highest common divisor of 1 and 67988? 1 What is the greatest common factor of 6066 and 175266? 18 Calculate the greatest common divisor of 182859521 and 29068. 7267 What is the highest common factor of 12506820 and 16225? 295 What is the greatest common divisor of 204 and 13493280? 12 Calculate the highest common divisor of 75624 and 16851. 411 What is the highest common factor of 94292 and 24228758? 4286 Calculate the greatest common divisor of 251716 and 164. 4 What is the highest common factor of 9224972 and 20? 4 Calculate the highest common factor of 666 and 176404086. 666 Calculate the highest common divisor of 427 and 67067203. 7 What is the highest common divisor of 36799962 and 24134? 2194 What is the greatest common divisor of 3616 and 220760416? 3616 What is the highest common divisor of 40 and 15196584? 8 What is the highest common divisor of 1190 and 235298? 14 Calculate the greatest common factor of 10442 and 3105. 23 What is the highest common divisor of 371524 and 2219? 317 What is the greatest common factor of 1959551 and 12859? 11 Calculate the greatest common divisor of 30167 and 730228. 311 Calculate the greatest common factor of 1139 and 1627869. 17 What is the highest common factor of 324 and 6710607? 81 Calculate the highest common divisor of 370748 and 74452. 28 Calculate the greatest common divisor of 3794946 and 66. 6 What is the greatest common divisor of 29091825 and 68103? 2961 Calculate the greatest common factor of 239018726 and 1114. 1114 Calculate the greatest common divisor of 1539479044 and 2708. 2708 What is the highest common divisor of 144384 and 83472? 2256 Calculate the highest common divisor of 12917931 and 9503. 559 What is the greatest common factor of 1505 and 957266? 43 Calculate the greatest common factor of 33967790 and 2991. 997 Calculate the highest common divisor of 1368067 and 15579. 577 Calculate the greatest common factor of 20494166 and 17374. 1022 What is the highest common factor of 459972 and 108? 108 Calculate the highest common factor of 3990708 and 324. 324 What is the highest common factor of 327 and 64389243? 327 What is the highest common divisor of 92959706 and 68? 34 Calculate the highest common factor of 1669277 and 18338. 173 Calculate the greatest common factor of 23680 and 60680. 1480 Calculate the highest common divisor of 1565 and 2815. 5 Calculate the highest common divisor of 24 and 50970480. 24 What is the highest common factor of 3341 and 392182? 257 Calculate the highest common divisor of 603270 and 1692. 18 Calculate the highest common factor of 930 and 15952910. 310 What is the highest common divisor of 1131 and 54118437? 87 What is the highest common divisor of 1027 and 375961? 79 Calculate the greatest common factor of 12410 and 815994. 146 Calculate the highest common divisor of 4108 and 1749534. 158 What is the greatest common factor of 253 and 131001698? 23 What is the greatest common divisor of 3360289 and 414419? 4993 What is the highest common divisor of 60305973 and 42? 21 What is the greatest common factor of 196102 and 1497004? 2762 Calculate the greatest common divisor of 210 and 52879638. 42 What is the greatest common factor of 304 and 43276756? 76 Calculate the greatest common divisor of 721 and 3278450. 7 Calculate the highest common factor of 390 and 488597460. 390 Calculate the greatest common divisor of 16039 and 63253. 43 What is the greatest common divisor of 5835689 and 4456? 557 What is the greatest common factor of 2713 and 293180345? 2713 Calculate the greatest common factor of 192399 and 3508836. 3261 What is the greatest common divisor of 199577948 and 12? 4 Calculate the highest common factor of 19010 and 15490. 10 What is the greatest common factor of 1078 and 27500242? 154 Calculate the greatest common factor of 32415 and 193785. 15 What is the greatest common factor of 16610 and 1596815? 55 What is the highest common factor of 7658 and 871918? 1094 What is the highest common divisor of 124323083 and 11806? 5903 What is the highest common factor of 4520904 and 768? 24 What is the highest common divisor of 2337 and 674292273? 2337 Calculate the greatest common divisor of 37230 and 29155. 85 What is the greatest common factor of 54 and 3828114? 54 Calculate the highest common factor of 14725 and 94829. 589 Calculate the greatest common divisor of 12654126 and 774. 774
What is next in -45, -42, -39, -36, -33? -30 What comes next: -87, -275, -573, -975, -1475? -2067 What comes next: -78, -79, -80? -81 What comes next: -2174, -4345, -6516, -8687? -10858 What is the next term in -20, -41, -62? -83 What comes next: -419, -838, -1279, -1754, -2275? -2854 What is next in 45, 169, 373, 657? 1021 What comes next: 7, 29, 77, 163, 299, 497, 769, 1127? 1583 What is next in -80, -74, -64, -50, -32, -10, 16? 46 What comes next: -12, -14, -8, 6, 28, 58? 96 What is the next term in -808, -1615, -2422, -3229? -4036 What comes next: -520, -787, -1224, -1825, -2584, -3495, -4552? -5749 What comes next: -6983, -6984, -6985? -6986 What comes next: 123, 463, 1019, 1785, 2755? 3923 What is next in -32, -72, -114, -158, -204, -252, -302? -354 What is the next term in -5, -19, -53, -113, -205? -335 What is next in 2697, 5390, 8083, 10776? 13469 What comes next: -475, -470, -455, -424, -371, -290? -175 What is the next term in -88, -238, -450, -730, -1084? -1518 What is next in -5274, -5275, -5276, -5277, -5278, -5279? -5280 What comes next: 19, 10, -13, -56, -125? -226 What is the next term in -660, -666, -676, -690? -708 What is the next term in -114, -232, -350, -468, -586, -704? -822 What is the next term in -132, -264, -428, -642, -924? -1292 What comes next: -167, -339, -511, -683, -855, -1027? -1199 What comes next: -246, -256, -278, -318, -382? -476 What is the next term in -634, -644, -668, -712, -782, -884, -1024, -1208? -1442 What is the next term in -17, -16, -17, -20, -25, -32, -41? -52 What is the next term in -775, -1553, -2331? -3109 What is the next term in 709, 1429, 2159, 2905, 3673? 4469 What comes next: 523, 519, 513, 505, 495, 483? 469 What is the next term in 18, 64, 192, 444, 862, 1488, 2364? 3532 What is next in 67, 69, 71? 73 What comes next: -63, -118, -173? -228 What comes next: 3103, 6207, 9311, 12415, 15519? 18623 What comes next: -14, -1, 26, 73, 146, 251, 394, 581? 818 What is next in -67, -225, -471, -805, -1227, -1737, -2335? -3021 What comes next: -18, -104, -248, -450, -710, -1028? -1404 What is next in 852, 850, 848, 846? 844 What is the next term in 8, -2, -34, -100, -212? -382 What is next in 466, 925, 1382, 1837, 2290? 2741 What is next in 52, 145, 300, 517, 796? 1137 What comes next: -2, -5, -8? -11 What comes next: 327, 317, 301, 279, 251, 217? 177 What is next in -102, -121, -144, -171, -202, -237? -276 What is next in -301, -607, -913, -1219? -1525 What comes next: -11, -52, -119, -212, -331, -476? -647 What comes next: -11, -22, -55, -122, -235, -406? -647 What is next in 1414, 1422, 1430? 1438 What is the next term in 41, 16, -31, -112, -239? -424 What comes next: -191, -365, -539, -713, -887, -1061? -1235 What is next in -1285, -1289, -1295, -1303, -1313, -1325? -1339 What is the next term in -27, -122, -283, -510, -803, -1162, -1587? -2078 What is next in 2609, 2607, 2603, 2597, 2589, 2579, 2567? 2553 What is the next term in 8544, 8545, 8546? 8547 What comes next: -3161, -6303, -9447, -12593, -15741, -18891, -22043? -25197 What is the next term in 10, 21, 32, 43, 54? 65 What is next in 511, 514, 519, 526, 535, 546, 559? 574 What is next in 29, 21, -9, -73, -183, -351? -589 What comes next: 10, 35, 62, 91, 122? 155 What is next in -27, -119, -273, -489, -767? -1107 What is the next term in -1053, -1075, -1111, -1161, -1225, -1303, -1395? -1501 What is next in 1954, 1949, 1942, 1933, 1922, 1909, 1894? 1877 What comes next: -3, -11, -23, -39, -59, -83, -111? -143 What comes next: 4029, 4028, 4027? 4026 What is next in -345, -355, -389, -459, -577? -755 What is the next term in -25, -42, -71, -112? -165 What is next in 2819, 2820, 2821, 2822, 2823, 2824? 2825 What comes next: -35, -58, -81, -104, -127? -150 What is the next term in 232, 490, 748, 1006? 1264 What comes next: -158, -309, -468, -641, -834? -1053 What comes next: 19633, 39266, 58899? 78532 What is the next term in -334, -1346, -3038, -5410, -8462? -12194 What comes next: 27, 29, 33, 39, 47, 57, 69? 83 What is the next term in -509, -506, -501, -494? -485 What is next in -3514, -7025, -10536, -14047? -17558 What is the next term in -1848, -3698, -5548, -7398, -9248? -11098 What comes next: -185, -367, -549? -731 What is the next term in 16938, 16940, 16944, 16950, 16958, 16968? 16980 What is next in -7, -31, -111, -277, -559, -987, -1591? -2401 What is next in 557, 557, 559, 563, 569, 577, 587? 599 What is the next term in 38, 75, 118, 167? 222 What is next in -59, -171, -369, -695, -1191, -1899? -2861 What is the next term in -9, -31, -79, -165, -301, -499, -771? -1129 What is the next term in 2, -79, -214, -403, -646, -943? -1294 What is next in -6422, -12845, -19268, -25691? -32114 What comes next: -188, -375, -562? -749 What comes next: 53, 35, 19, 5? -7 What comes next: 9, 16, 7, -24, -83? -176 What is next in -281, -332, -383, -434, -485, -536? -587 What comes next: -7, 15, 55, 119, 213, 343? 515 What is the next term in 7, 3, -9, -29, -57, -93? -137 What is the next term in -8576, -17153, -25730, -34307? -42884 What is the next term in 0, 10, 24, 42, 64? 90 What comes next: -950, -949, -948? -947 What is the next term in -62, -52, -42, -32? -22 What is next in -57, -101, -155, -225, -317, -437, -591, -785? -1025 What is the next term in 78, 152, 226? 300 What is the next term in -22, 6, 66, 158? 282 What is the next term in 2, 8, 34, 92, 194? 352 What is next in -75, -176, -289, -420, -575? -760 What comes next: 31, 105, 229, 403, 627, 901? 1225 What is the next term in -550, -551, -552, -553, -554? -555 What comes next: -163, -312, -473, -652, -855, -1088, -1357? -1668 What is next in -180, -127, -74? -21 What is next in 21, 42, 95, 192, 345, 566? 867 What is the next term in 118, 172, 226? 280 What is next in -63, -56, -47, -36, -23, -8, 9? 28 What is the next term in 10, 13, 22, 37? 58 What is next in 350, 421, 492, 563, 634, 705? 776 What is the next term in 22, 45, 78, 127, 198, 297, 430? 603 What is the next term in -14, -34, -56, -80, -106, -134, -164? -196 What is next in -30225, -30226, -30227? -30228 What comes next: 98, 162, 222, 278? 330 What comes next: 137, 76, -33, -196, -419, -708, -1069? -1508 What is the next term in 3825, 3824, 3823, 3822, 3821? 3820 What comes next: -26, -45, -64, -83, -102, -121? -140 What is next in -24, -53, -78, -99, -116, -129? -138 What comes next: 5, 20, 47, 86, 137? 200 What comes next: -1910, -1911, -1912, -1913, -1914? -1915 What comes next: 9, 43, 91, 147, 205? 259 What is the next term in -632, -1271, -1910, -2549? -3188 What comes next: -11, -33, -49, -53, -39, -1, 67, 171? 317 What comes next: -9385, -18769, -28153, -37537? -46921 What is the next term in 4024, 8049, 12074? 16099 What is the next term in 100, 95, 94, 103, 128? 175 What is the next term in 58, 116, 176, 238, 302? 368 What is the next term in -326, -327, -328? -329 What is next in -2013, -2012, -2011, -2010, -2009? -2008 What is the next term in 3986, 7973, 11960, 15947? 19934 What is the next term in -2863, -2871, -2879, -2887? -2895 What is the next term in -79, -158, -225, -274, -299? -294 What is next in -162, -152, -148, -156, -182, -232? -312 What is next in -822, -1677, -2532, -3387? -4242 What is the next term in -122, -496, -1120, -1994? -3118 What is next in 59, 56, 51, 44? 35 What comes next: -3363, -6736, -10121, -13524, -16951, -20408? -23901 What is next in 88, 106, 126, 148, 172? 198 What comes next: -9, -59, -143, -267, -437? -659 What is the next term in -214, -220, -238, -274, -334, -424? -550 What is next in -54, -79, -94, -93, -70, -19? 66 What is the next term in 971, 969, 967? 965 What is next in -1354, -1359, -1366, -1375? -1386 What is the next term in 27, 138, 249, 360, 471? 582 What is the next term in -63, -62, -47, -12, 49? 142 What comes next: 49, 93, 137, 181, 225, 269? 313 What is next in -6, -24, -58, -108, -174, -256? -354 What is next in 252, 251, 250, 249, 248, 247? 246 What is the next term in 177, 354, 531, 708? 885 What comes next: 65, 93, 105, 95, 57, -15? -127 What is the next term in -21, -93, -219, -405, -657, -981? -1383 What is the next term in 6480, 6481, 6482, 6483? 6484 What is next in -252, -1975, -6652, -15759, -30772, -53167? -84420 What is the next term in 31, 34, 47, 76, 127, 206, 319? 472 What comes next: 24, 29, 28, 15, -16? -71 What comes next: -16, -24, -38, -58, -84? -116 What is the next term in 32, 45, 48, 35, 0, -63, -160, -297? -480 What is the next term in -243, -259, -275, -291, -307? -323 What is next in -9, -112, -395, -948, -1861, -3224, -5127, -7660? -10913
Simplify (sqrt(5200)*3 - -6*(sqrt(52) + sqrt(1872)))/((sqrt(4) - (sqrt(4) - -6*(sqrt(16) - sqrt(4)))) + 1*2*sqrt(4) + sqrt(4)). -24*sqrt(13) Simplify 3*(-5 + (((sqrt(91) - (sqrt(91) - sqrt(91)*2))*1)/(sqrt(7) + sqrt(567)*-4))**2*-2 + -1). -22362/1225 Simplify (6*sqrt(304) - (3 + sqrt(475) + sqrt(19))**2) + 6*(-5*(1*sqrt(1539))**2 - sqrt(1539)) + 0. -46863 - 66*sqrt(19) Simplify -1*(6*-1*sqrt(66)*-3)/(sqrt(96)*4 + sqrt(60)/(-2*sqrt(10))). -36*sqrt(11)/31 Simplify 3*(-3 + -2*(3 + sqrt(1331) + -1 + sqrt(1331)*2 + -2 + sqrt(1331)))*-4. 36 + 1056*sqrt(11) Simplify (-3*((sqrt(78) - sqrt(78)*-2)*5 + (sqrt(78) - 2*sqrt(78)*-4)))/(((sqrt(24) - sqrt(48)/sqrt(2))*-3 + sqrt(24))/(-3*(sqrt(12)/sqrt(3) + sqrt(4)))). 432*sqrt(13) Simplify ((sqrt(1377) - sqrt(1377)*4)*2 + sqrt(1377) + 1 + sqrt(1377) + 1 + sqrt(1377))**2 + (-3 + (sqrt(1377) + 2)**2)*-1 + 5. -144*sqrt(17) + 11024 Simplify 4*4*(sqrt(468) + 0 + sqrt(468))*-4 - (-5*(1 + sqrt(468) + sqrt(468))*-4 + 5). -1008*sqrt(13) - 25 Simplify ((1 + sqrt(125)*-2*-2 - (sqrt(125) + sqrt(125) + 1 + -2 - (3 + -2*sqrt(125) + sqrt(125))))*-3)**2. 450*sqrt(5) + 1350 Simplify (-2*(2 + -3 + sqrt(1008)*-2*4 + (sqrt(1008) + (-5*(1 + sqrt(1008)) - sqrt(1008)) - (2 + 0 + sqrt(1008) - sqrt(1008)))))**2. 9984*sqrt(7) + 681664 Simplify (-5*-3*((sqrt(396)*1)/sqrt(9) - sqrt(44)))/(sqrt(16)/(sqrt(8)/sqrt(2)) - -1*sqrt(256)). 0 Simplify (-3*-3*sqrt(95) + sqrt(95) - (sqrt(95) + (sqrt(95) - (sqrt(95)*2 - sqrt(95))) + sqrt(95))*6)/((sqrt(720) + sqrt(720) + -3*sqrt(720)*2)*-5). -sqrt(19)/120 Simplify 1 + (((sqrt(130)*-2 + sqrt(130) - sqrt(130))*6)/sqrt(10) + -3 + 3*2*sqrt(13) + -2 + 3)*4. -24*sqrt(13) - 7 Simplify (5*(3*sqrt(88)*-5 + sqrt(88) + sqrt(88))*-2)/(sqrt(80)/(sqrt(10)*4) + (-4*sqrt(48))/sqrt(6)). -104*sqrt(11)/3 Simplify 1*((sqrt(16)/sqrt(392)*5)**2 + -5 + (sqrt(20)/(sqrt(10) + (sqrt(10)*1 - sqrt(10))) - (sqrt(32))**2*-2)). sqrt(2) + 2941/49 Simplify 0 + (-4*(sqrt(84) - sqrt(84)*-3)*1)/(sqrt(24)/sqrt(2)*-6 - (sqrt(108)*2 + sqrt(108))). 16*sqrt(7)/15 Simplify (sqrt(76) + sqrt(76) + sqrt(76) + (sqrt(76) + -2*sqrt(76))*-2 + sqrt(76) + sqrt(76)*-3*-1)/(-4*sqrt(2304)*-2). 3*sqrt(19)/64 Simplify 1*(sqrt(162)*3 + (sqrt(2) - sqrt(6)/sqrt(3))*4) - (5*sqrt(32))/(-1*sqrt(20)/sqrt(5)). 37*sqrt(2) Simplify 2*(2 + -5*1*sqrt(304) + (sqrt(304) + -1)**2*-3 + (2*sqrt(304))**2*-4 + -5 + (sqrt(304) - sqrt(304)*-2)**2 + sqrt(304))*4. -24368 + 64*sqrt(19) Simplify -1 + 2 + ((2 + (sqrt(475) + 1)*-3 + sqrt(475))*-5)**2 + -5. 500*sqrt(19) + 47521 Simplify -4 + 0 + (sqrt(288) - (sqrt(288) + -1)) + ((sqrt(20)*-1)/sqrt(5))/sqrt(2)*-3. -3 + 3*sqrt(2) Simplify ((4*sqrt(152)*3 + (-1*5*sqrt(152) - sqrt(152)))/(-2*1*(sqrt(512) + 4*sqrt(512))))**2. 171/1600 Simplify (((sqrt(210)*-2)/sqrt(6))/(sqrt(21)/sqrt(3)*1) + (3*sqrt(810) + sqrt(810))/sqrt(2) + 2)**2. 136*sqrt(5) + 5784 Simplify 3*4*-4*((sqrt(425) - (2 + sqrt(425) + 1)) + -1 + 1*sqrt(425) + sqrt(425))**2*-5. -19200*sqrt(17) + 411840 Simplify (sqrt(22)/(sqrt(2) + -2*3*sqrt(2)) + -2 - (-4 + sqrt(539)*-3 + -2))**2 + -4. 832*sqrt(11)/5 + 119276/25 Simplify ((1*(-1*(0 + sqrt(1053) + sqrt(1053))*-3 + ((-2*(-2 + sqrt(1053) + sqrt(1053)) - sqrt(1053)) + sqrt(1053))*-6))**2 + 4)*4. -51840*sqrt(13) + 3793120 Simplify (2 + 2 + ((-2 + sqrt(108))*6 - 4*sqrt(108)*2) + 0 + 3 + 1 + sqrt(108) + sqrt(108))**2. 16 Simplify (6*1*sqrt(2299) + (sqrt(2299) + -1)*-5 + (-2*(sqrt(95) + sqrt(95)*-2))/sqrt(5) + 0 + 1)**2. 156*sqrt(19) + 3247 Simplify -3*((-5*sqrt(684)*-4)**2 + (sqrt(171)/sqrt(81) - (sqrt(19) - (2*sqrt(76))/sqrt(4))**2)) + 5. -820738 - sqrt(19) Simplify -3*(-2 + (sqrt(147) - (-2 + (sqrt(147)*1 - sqrt(147) - sqrt(147)) + sqrt(147))) + (sqrt(3)*-2)**2 + 0 + 3). -45 - 21*sqrt(3) Simplify 2 + (((1 + -2*sqrt(19) + sqrt(19) + sqrt(19))*3)**2 + -1 - (3 + (-2*sqrt(76) - (sqrt(19) + 1 + -4)))). 4 + 5*sqrt(19) Simplify (sqrt(196) + sqrt(196) + (2*2*sqrt(196) - sqrt(196)) - sqrt(196)*-2*6)/((-5*(2*sqrt(70) - sqrt(70)))/(3*sqrt(20)/sqrt(2) + sqrt(10))). -136*sqrt(7)/5 Simplify -4*sqrt(88)/(-2*sqrt(8))*5 - (2*-1*sqrt(121))/(-4*sqrt(99)). 59*sqrt(11)/6 Simplify -4 + (5*3*sqrt(240)/sqrt(4))/(-2*sqrt(432)*-1). -4 + 5*sqrt(5)/4 Simplify ((sqrt(208) + (sqrt(208) - (sqrt(208) + sqrt(208)*1)*4) - sqrt(208)) + sqrt(208) - sqrt(208) - sqrt(208))/((sqrt(60)/sqrt(3))/sqrt(5))*2*2. -64*sqrt(13) Simplify -4*(-3*(sqrt(110) + -2*sqrt(110)) - -3*sqrt(110)*-2)/(6*-1*-3*sqrt(40)). sqrt(11)/3 Simplify (3*sqrt(4235)*-4*-4)/(((sqrt(343) - -1*sqrt(343)) + sqrt(35)/sqrt(5)*-3)*3). 16*sqrt(5) Simplify ((-2*sqrt(2057) - sqrt(2057))*2*-5 - ((-2*sqrt(374))/sqrt(11))/((1*sqrt(162) - sqrt(162)) + sqrt(162)))**2 + -5. 150156923/81 Simplify (((sqrt(1176)*1*3 - sqrt(1176)) + sqrt(1176)*2*5)/((-4*sqrt(96)*-1)/(sqrt(8) - -2*2*sqrt(8))))**2. 22050 Simplify (2*sqrt(104)*-4 - sqrt(104)*-1*3)/((sqrt(560)/sqrt(10)*-1)/sqrt(7)). 5*sqrt(13) Simplify (1*((sqrt(15)*-2)/sqrt(5) + sqrt(3)) + -2)**2 + ((sqrt(108)*-2)/(sqrt(40)/sqrt(250)))**2. 4*sqrt(3) + 2707 Simplify ((-2 + (5 + -1*sqrt(637) + -3 - 5*-4*-2*sqrt(637)))*3*-1)**2. 9637173 Simplify ((6*sqrt(448)*-1 - (-5 + 0 + sqrt(448)) - -3*((sqrt(7) - (sqrt(28) + 2)) + -5 + (sqrt(21)/sqrt(3) - sqrt(7)) + sqrt(7))) + 2)**2. 1568*sqrt(7) + 22148 Simplify 1 + ((1*sqrt(91)*-2)/((-1*sqrt(21))/sqrt(3)) - ((sqrt(325) - (-1 + sqrt(325) + 1)) + 6*(1 + sqrt(325))**2)). -1955 - 58*sqrt(13) Simplify -2 + -3 + (-3 + ((5*(1 + sqrt(304)) - sqrt(304)) + sqrt(304) - (sqrt(304) + 5*-1*sqrt(304) - sqrt(304))))**2 + -2. 160*sqrt(19) + 30397 Simplify (sqrt(60)/sqrt(5) + sqrt(2352) - (-5 + (sqrt(192)*-2)/sqrt(4))**2) + 0 + 3. -214 - 50*sqrt(3) Simplify ((-2*sqrt(308)*-1)/(-1*sqrt(112)))/(-4*sqrt(48)/sqrt(3)*-5). -sqrt(11)/80 Simplify -6*((sqrt(42) + sqrt(42) + sqrt(336)/(-1*sqrt(8)))/(-1*sqrt(847) + sqrt(847) + sqrt(847)))/((-4*sqrt(60))/(sqrt(405) - 2*sqrt(405))). -27*sqrt(2)/44 Simplify (sqrt(42)*-1*-1 + sqrt(42) - sqrt(42) - sqrt(672)*1)/((sqrt(660)/(sqrt(11)*-2))/(sqrt(10)*1*5)). 30*sqrt(7) Simplify sqrt(48) + -2 + sqrt(48) + 3 - ((sqrt(48) - (-5 + 0 + sqrt(48))) + sqrt(48)) - ((sqrt(48) + sqrt(768) + sqrt(48))*1 - (-1*sqrt(48) + -1)). -24*sqrt(3) - 5 Simplify ((sqrt(396) + sqrt(396) + sqrt(396)*-2*-5 + sqrt(396))/(2*sqrt(36)))/((-1*sqrt(16) + 4*sqrt(16))*4). 13*sqrt(11)/96 Simplify 6*(-1 + (sqrt(360)/(sqrt(12)*-2) - -1*sqrt(1470))/((-3*sqrt(72))/sqrt(12)*2)). -13*sqrt(5)/2 - 6 Simplify (((sqrt(300) + -2*sqrt(300))*5)/sqrt(10))/(1*(sqrt(10) - (sqrt(3840) - sqrt(60))/sqrt(6)))*5. 25*sqrt(3)/6 Simplify ((sqrt(171)*2)/sqrt(9) + -3*-2*sqrt(19) - (5*(sqrt(19) - -1*sqrt(1900)))**2) + ((sqrt(228)/sqrt(4)*5)/(sqrt(384)/sqrt(8)))**2*-1. -920075/16 + 8*sqrt(19) Simplify ((-6*2*sqrt(120))/(-2*sqrt(192)))/(sqrt(1280) + sqrt(10)/(sqrt(2)*-4)). 2*sqrt(2)/21 Simplify 0 + (sqrt(30)/(sqrt(24)/sqrt(4)) - sqrt(10)/sqrt(8))**2 - (sqrt(15) + 2*sqrt(540))/(sqrt(432)*-2). 13*sqrt(5)/24 + 5/4 Simplify (1*sqrt(605)*-1)**2 - ((0 + sqrt(605))*3)**2 - (-1 + sqrt(45)*5 + -1). -4838 - 15*sqrt(5) Simplify 6*(-2 + (sqrt(245) - 1*sqrt(245)) + (sqrt(10)/(sqrt(2)*2))**2 + -2)*2. -33 Simplify 4 + (-2 + 1 + sqrt(192) - (-2*sqrt(192) + -4 + sqrt(192)))**2 + 2. 96*sqrt(3) + 783 Simplify (-4*(2*sqrt(832))**2 - (sqrt(832) - (sqrt(832) + sqrt(832) + (sqrt(832) + sqrt(832)*1)**2))*1) + (4 + -2 + sqrt(832))**2 + (-1*sqrt(832) + -4)**2. -8300 + 104*sqrt(13) Simplify ((sqrt(156) + sqrt(156)*-4)*-6 - (sqrt(156) - 6*(sqrt(156) - sqrt(156)*3)))/(sqrt(588)*-2 + 5*(sqrt(12) + 5*sqrt(12))). 5*sqrt(13)/16 Simplify 1*((-3 + (3 + 3*(sqrt(1872) + -1)*-1)*5)**2 + -5). -9720*sqrt(13) + 421924 Simplify (3 + ((sqrt(1053) - sqrt(1053)*6) + 2 - (-1*sqrt(52) + -4)))**2. -774*sqrt(13) + 24118 Simplify ((-2*sqrt(343)*-2*1 - (sqrt(343) + sqrt(343) + (sqrt(343) - (sqrt(343) + -1 + 2)) + 2)) + 4)**2. 84*sqrt(7) + 1381 Simplify 1 + (-4 + -3 + 5 + (sqrt(396)*4 + sqrt(396) + 2)*2 + -1)**2. 120*sqrt(11) + 39602 Simplify (3*(sqrt(176)/sqrt(4) - sqrt(44)) - (sqrt(176) - (3*sqrt(176) - sqrt(176) - sqrt(176)) - sqrt(44)))/(sqrt(144)/sqrt(4) + sqrt(4)*-2*4). -sqrt(11)/5 Simplify (-2*(3*sqrt(99) + sqrt(99) + sqrt(99)) - (sqrt(99) - sqrt(99)*1)*-2)/((2*-2*sqrt(108))/(sqrt(24)/sqrt(2)*2 - sqrt(12))). 5*sqrt(11)/2 Simplify (-6*-1*sqrt(99)*-3*4)/((sqrt(441) + 1*sqrt(441))*-1 + (sqrt(441) - sqrt(441)*-2*-2)). 72*sqrt(11)/35 Simplify (sqrt(11) + (sqrt(11) - sqrt(77)/(-2*sqrt(7))))**2 + sqrt(11) + sqrt(66)/sqrt(486) + (4 + -1*sqrt(1331) + -1*sqrt(1331))**2. -1574*sqrt(11)/9 + 21635/4
Let v(x) = -28*x**2 - x. Let n(p) = 28*p**2. Let o(m) = 6*n(m) + 5*v(m). Let g = 31 - 29. List the prime factors of o(g). 2, 3, 17 Suppose l - 6996 = 13*l. Let c = l - -1535. List the prime factors of c. 2, 7, 17 Suppose 56*m = 36*m + 29*m - 212760. List the prime factors of m. 2, 3, 5, 197 Let i be (-504)/(-5)*70/14. Suppose -4*c + i = -4*v, -5*v + 20 = -0*v. Suppose 8*y - 78 = c. What are the prime factors of y? 2, 13 Suppose 4*s = 2*a + a + 16, -2*a - 6 = 2*s. List the prime factors of ((-526)/(-4))/(s/2). 263 Let j = 583 - -3127. Let d(p) = -6*p + 6. Let l be d(1). Suppose l*c = -14*c + j. What are the prime factors of c? 5, 53 Suppose -5*f - 4*b = -9*b - 75, 33 = 2*f - 3*b. Let k(z) = z**2 - 22*z - 10. Let x be k(f). Let u = x - -172. What are the prime factors of u? 2, 3, 7 Let y = 21336 + -14573. What are the prime factors of y? 6763 Let z(g) be the third derivative of -g**5/30 - 3*g**4/2 - 14*g**3/3 - 2*g**2 - 94*g + 19. Let s = -19 + 2. What are the prime factors of z(s)? 2, 3 List the prime factors of (-2)/10*372*(-156800)/1680. 2, 7, 31 Let g(s) = 216*s**2 + 618*s - 19. What are the prime factors of g(-8)? 8861 Let z(q) = -447*q**3 + 6*q**2 - 23*q - 136. List the prime factors of z(-4). 2, 5, 1433 Suppose 25731 = 2*o + 2823. List the prime factors of o/(-184)*(-8)/6. 83 Suppose -531435 - 286620 = -21*c. List the prime factors of c. 3, 5, 7, 53 What are the prime factors of 22701 + -11 - 30/(-50)*15? 22699 Suppose 16*l = 13*l + y + 13620, -2*l + 9080 = 6*y. List the prime factors of l. 2, 5, 227 Let a be 4/8*-1*-156. Let r = a - 64. Suppose -1372 = r*y - 4046. List the prime factors of y. 191 Let d(f) = -1581*f + 13813. List the prime factors of d(0). 19, 727 Let s(c) = 305*c**2 + 326*c - 31. List the prime factors of s(10). 3, 11243 Let w(j) = j. Let d(u) = -u**2 + 49*u - 48. Let y(t) = d(t) - 6*w(t). Let x be y(28). Let i = x - 253. List the prime factors of i. 7, 17 Suppose -29 = -3*o + n, -2 + 13 = o + n. Suppose -2*w - 24 = -o*w. Suppose 0 = w*g - 277 + 106. List the prime factors of g. 3, 19 Let i = -44010 - -102855. What are the prime factors of i? 3, 5, 3923 Let u(l) = 15*l**2 + 432*l + 16. List the prime factors of u(38). 2, 89, 107 Suppose 7*t + 7*t = 84. List the prime factors of 1602/t - (-2 + 8). 3, 29 Suppose -v - 2*v - 3 = 0, -5*v = x + 9. Let g(q) = 2*q**2 - 2*q + 2. Let l(r) = r - 1. Let s(o) = 5*g(o) + 6*l(o). List the prime factors of s(x). 2, 3, 5 Let q be -4 + (13 - 6 - 5). List the prime factors of ((-1364)/(-8))/(5*q/(-20)). 11, 31 Suppose 0 = -8751*q + 8748*q + 11313. List the prime factors of q. 3, 419 Suppose 2*q + 4 = 0, 0*i = i + 5*q - 5. Let h = i - -421. List the prime factors of h. 2, 109 Suppose -4*j - j + 3*x = -2560, -2*j - x = -1013. Let b = j + -444. List the prime factors of b. 5, 13 Let x(z) = -6*z + 6. Let g be x(1). Suppose -18*i + g*i + 9108 = 0. What are the prime factors of i? 2, 11, 23 Suppose 3*o - 3*h = -3, 2*o + 4*h - 19 = -h. List the prime factors of (o/6)/(14/168) + 70. 2, 37 Let b be 2/4 - 16994/116. Let c = b - -403. What are the prime factors of c? 257 Suppose 5*o = p + 119 + 91, -3*p - 591 = -2*o. Let z(b) = -51*b + 84. Let u be z(-5). Let s = p + u. What are the prime factors of s? 2, 3 Let j be 3 + 114/(-42) + 40/7. Suppose 0*i - j = 3*k + i, -2*i = 5*k + 9. List the prime factors of (k + (-188)/16)/((-3)/12). 59 Suppose -16*h - h = -68. Suppose -5*k + 3*x - 8 = -1061, -214 = -k + h*x. List the prime factors of k. 2, 3, 5, 7 Suppose 26*y - 23130 = 23*y - 5*f, 15401 = 2*y - 3*f. What are the prime factors of y? 5, 23, 67 Let l(h) = 263*h**2 - 471*h - 10. What are the prime factors of l(-5)? 2, 5, 223 Suppose 35 + 745 = 4*b. Suppose 34*a = 31*a + b. Let s = a + 27. What are the prime factors of s? 2, 23 Let k = 488 - 471. Let l(o) = -o**3 + 23*o**2 - 74*o - 17. List the prime factors of l(k). 3, 17 Suppose 62 = -j + 55. Let u be (-1974)/j*(0 + 1). Suppose 12*f = u + 3078. What are the prime factors of f? 2, 5, 7 Suppose 0 = d - 108 - 134. Suppose -4*b = 16, 3*l - l = 5*b + 296. Let a = d - l. What are the prime factors of a? 2, 13 Suppose -6*k + 2*k - 76 = 0. Let q be -22 - k - (-6)/1. Suppose -2*w + 2*g + 186 = 0, 2*g - 1 + q = 0. List the prime factors of w. 2, 23 Let t(r) = -r**2 - 8*r - 6. Let a be t(-7). Let q(c) = -18*c**2 + 6*c**2 + 13*c**2 - a. What are the prime factors of q(5)? 2, 3 Suppose -272460 = -32*q - 28*q. What are the prime factors of q? 19, 239 List the prime factors of (1 + 39/(-36))*2 - (-11407605)/198. 2, 28807 Let q = -48320 - -84537. List the prime factors of q. 36217 Suppose -7 = 2*r - 9, 5*r = -2*f + 671. Let n = f + 45. What are the prime factors of n? 2, 3, 7 Let a = -179 + -20. What are the prime factors of a/3*-3*1? 199 Suppose 82*g - 91 = 69*g. Suppose -5374 + 1629 = -g*r. List the prime factors of r. 5, 107 Let z(v) = 3023*v**2 + 162*v + 5. List the prime factors of z(2). 12421 What are the prime factors of ((-3673)/(-4))/(224/336 + 5/(-12))? 3673 Let x = 568 - 170. Suppose -x = -2*l - 2. List the prime factors of l. 2, 3, 11 Suppose 53*u + 59*u = 103*u + 178686. List the prime factors of u. 2, 3, 1103 Suppose -860*x = -568*x - 25913832. List the prime factors of x. 2, 3, 7, 2113 List the prime factors of 7095/(-473)*(-17218)/6. 5, 8609 Suppose -21*z = -30*z + 126. Suppose z*b = -6 + 6. Suppose 3*y + 42 - 159 = b. List the prime factors of y. 3, 13 Suppose 39 = 3*g - 75. Let y = 54 - g. Suppose 3*x - 2*w - 358 = 0, w + 3*w = y. What are the prime factors of x? 2, 61 Let y(f) = 54*f - 2. Let l(w) be the first derivative of w**2/2 + w - 8. Let z(g) = 4*l(g) + y(g). What are the prime factors of z(2)? 2, 59 Let p(o) = 633*o + 1020. List the prime factors of p(25). 3, 5, 1123 Let z(p) = 3*p**3 - 29*p**2 + 15*p - 14. Let w be z(14). Suppose 7116 = 10*k - w. List the prime factors of k. 2, 17, 29 Let t(c) = -c**3 - 4*c**2 + 11*c + 17. Let d be t(-6). Let f(b) = -b**2 + 44*b + 49. What are the prime factors of f(d)? 2, 7, 19 List the prime factors of 7024550/1177 + (1 - (-39)/(-33)). 2, 373 Suppose -143 + 38 = 5*p. Let h(b) be the third derivative of b**4/24 + 65*b**3/6 - 2*b**2 + 324. What are the prime factors of h(p)? 2, 11 Suppose 18712 = 2*x - 4*p, 2*x - 58*p - 18706 = -53*p. List the prime factors of x. 2, 1171 Suppose b - 36872 = -2*w, -220271 = -7*b + 2*w + 37897. What are the prime factors of b? 2, 5, 461 Suppose 3*s - 6*s + 105654 = 3*s. What are the prime factors of s? 17609 Let r = 59 - 57. List the prime factors of r*1/(-6) + (-649)/(-3). 2, 3 Let m(f) = 1363*f**3 - f**2 + 2*f - 1. Let u = -552 - -553. List the prime factors of m(u). 29, 47 Let v = 208 + -163. Suppose 2*r = 9*w - 4*w + 49, -v = -5*r - 3*w. What are the prime factors of r? 2, 3 Let t be 2 + (-12)/(-4) - 64. Let n = -58 - t. Suppose -2*b = -n - 7, -2*m + 2*b = -238. List the prime factors of m. 3, 41 Suppose 3*k - 3*c = 15696, -67*c + 20958 = 4*k - 66*c. List the prime factors of k. 2, 3, 97 Let v = -42896 - -103285. List the prime factors of v. 7, 8627 Let r be (-4)/(-5)*(-25)/10*2. Let i = r - -88. What are the prime factors of (3 - (-2 + 2)) + i? 3, 29 Let k(j) = j**3 - j**2 - 2*j + 1. Suppose -4*v = -q + 8, 4*v - 10 = -5*q + 6. Let r = v - -6. What are the prime factors of k(r)? 7, 13 Let x(o) = o**3 - 37*o**2 + 40*o - 248. What are the prime factors of x(40)? 2, 769 What are the prime factors of 1*(-388 + 15)*(-117 - -1)? 2, 29, 373 Let f(c) = 11 - c - 7 - 26. Let x be f(-25). Suppose -3*u + m = -43 - 85, 0 = -x*u - 5*m + 152. List the prime factors of u. 2, 11 Let g = -28291 - -40861. List the prime factors of g. 2, 3, 5, 419 Let y be 4/(-14) + 37/((-1554)/(-180)). Let x(u) = 31*u**2 + 4*u - 18. List the prime factors of x(y). 2, 13, 19 Let f = 9333 - 166. List the prime factors of f. 89, 103 Let u = -49592 + 74145. List the prime factors of u. 43, 571 Let i = 44 + -39. Suppose -40 = -4*j + 2*u - 116, -i*j + 2*u - 93 = 0. What are the prime factors of (-26)/(-10)*(-85)/j? 13 Let d = 23 + 1405. List the prime factors of d. 2, 3, 7, 17 Suppose 3*j = -4*j - 315. Let m = j - -47. Suppose -159 = -m*d - g, -2*g = -5*d + g + 425. List the prime factors of d. 2, 41 Let u(t) = -t**3 + 9*t**2 - 9*t + 7. Let c be u(8). Let o be -5 + 6 + 1 + c. List the prime factors of 0 - o - (-68 - 9). 2, 19 Suppose -597*h - 9571516 + 16019241 + 10524388 = 0. List the prime factors of h. 28429 Suppose -594*y + 29543058 = 2719800. What are the prime factors of y? 7, 6451
What is 0.1157043l in millilitres? 115.7043 How many microseconds are there in thirteen quarters of a millisecond? 3250 Convert 664559.8 minutes to nanoseconds. 39873588000000000 How many millennia are there in 51202.92 months? 4.26691 What is 17/4 of a litre in millilitres? 4250 Convert 87.88095 litres to millilitres. 87880.95 How many nanoseconds are there in 0.61204 minutes? 36722400000 How many meters are there in 27/2 of a kilometer? 13500 How many nanoseconds are there in 0.2348241ms? 234824.1 What is three fifths of a kilogram in grams? 600 What is 2.823448 years in months? 33.881376 Convert 4908.951mg to nanograms. 4908951000 How many meters are there in one fifth of a kilometer? 200 How many micrometers are there in thirteen fifths of a millimeter? 2600 Convert 4283.726 weeks to days. 29986.082 Convert 5.12487 centimeters to meters. 0.0512487 Convert 734.7381um to kilometers. 0.0000007347381 What is 2/7 of a week in minutes? 2880 What is 53/5 of a millisecond in microseconds? 10600 How many micrograms are there in 27/5 of a milligram? 5400 What is 34/5 of a millennium in months? 81600 Convert 261842.5 nanometers to millimeters. 0.2618425 Convert 729269.7ml to litres. 729.2697 Convert 6.616612 micrometers to meters. 0.000006616612 Convert 37115.8ml to litres. 37.1158 How many years are there in 21/4 of a millennium? 5250 How many days are there in 11842.8183 microseconds? 0.00000013706965625 What is 3.945278ml in litres? 0.003945278 Convert 0.4340292 grams to kilograms. 0.0004340292 How many months are there in one quarter of a century? 300 What is 643056.9 months in years? 53588.075 Convert 39978.45 years to centuries. 399.7845 What is 3.086087l in millilitres? 3086.087 How many centimeters are there in 3/50 of a kilometer? 6000 How many kilograms are there in 8/25 of a tonne? 320 What is twenty-one fifths of a century in months? 5040 What is thirteen quarters of a litre in millilitres? 3250 How many millilitres are there in seven quarters of a litre? 1750 How many seconds are there in 9.002719 minutes? 540.16314 What is 829.5264 kilograms in nanograms? 829526400000000 What is eleven halves of a century in years? 550 What is 274.731 millilitres in litres? 0.274731 How many minutes are there in seventeen sixths of a day? 4080 Convert 52837.5582 seconds to weeks. 0.0873636875 How many milligrams are there in 0.9254799 kilograms? 925479.9 How many milligrams are there in one tenth of a kilogram? 100000 What is fifteen quarters of a microsecond in nanoseconds? 3750 How many months are there in 3/40 of a decade? 9 What is 0.6046002kg in micrograms? 604600200 How many meters are there in fourty-five halves of a kilometer? 22500 What is seven quarters of a decade in months? 210 What is 34.38769l in millilitres? 34387.69 How many microseconds are there in 803741.2 nanoseconds? 803.7412 What is ten thirds of a decade in months? 400 How many kilograms are there in fourty-three quarters of a tonne? 10750 How many millilitres are there in 72.26843l? 72268.43 Convert 44413.27 days to nanoseconds. 3837306528000000000 What is 0.3646321 millilitres in litres? 0.0003646321 How many microseconds are there in fourty-eight fifths of a millisecond? 9600 Convert 83129.97km to centimeters. 8312997000 What is 25/4 of a millennium in years? 6250 What is three eighths of a decade in months? 45 How many nanograms are there in 8737.09 kilograms? 8737090000000000 What is 3/40 of a millisecond in microseconds? 75 What is 7/4 of a litre in millilitres? 1750 How many millilitres are there in thirty-one fifths of a litre? 6200 How many grams are there in 0.309533 kilograms? 309.533 How many decades are there in fourty-nine fifths of a century? 98 Convert 65603.75 hours to minutes. 3936225 How many micrometers are there in 1/10 of a millimeter? 100 What is 13/5 of a decade in years? 26 How many seconds are there in 1/24 of a hour? 150 What is 3/8 of a litre in millilitres? 375 Convert 83.79432nm to micrometers. 0.08379432 How many seconds are there in 3/32 of a week? 56700 How many kilometers are there in 7567.4nm? 0.0000000075674 Convert 0.0152899 tonnes to milligrams. 15289900 Convert 2.5417629 microseconds to hours. 0.00000000070604525 What is 96.3957 years in centuries? 0.963957 What is fifty-seven fifths of a century in years? 1140 What is 0.7196992 nanometers in centimeters? 0.00000007196992 How many micrograms are there in 9.298072 nanograms? 0.009298072 What is 5/4 of a kilometer in meters? 1250 What is 5611.1 nanometers in millimeters? 0.0056111 Convert 947.179m to centimeters. 94717.9 How many months are there in three eighths of a millennium? 4500 What is 7/8 of a meter in millimeters? 875 How many weeks are there in 34.32667 days? 4.90381 How many months are there in 5/6 of a century? 1000 What is 3/25 of a milligram in micrograms? 120 How many millimeters are there in 464258.6km? 464258600000 How many litres are there in 38.32047 millilitres? 0.03832047 How many millilitres are there in 17/4 of a litre? 4250 How many kilometers are there in 0.7707846nm? 0.0000000000007707846 What is 295.4373 tonnes in nanograms? 295437300000000000 What is 434.0132 kilograms in micrograms? 434013200000 What is fifty-nine fifths of a decade in months? 1416 What is 5962.698ng in micrograms? 5.962698 What is five quarters of a litre in millilitres? 1250 Convert 23243.346 nanoseconds to hours. 0.000000006456485 How many decades are there in one fifth of a century? 2 What is 3/5 of a milligram in micrograms? 600 How many kilograms are there in eleven halves of a tonne? 5500 How many litres are there in 0.8364543 millilitres? 0.0008364543 What is 1/15 of a day in minutes? 96 What is 3/16 of a century in months? 225 Convert 519730.6g to micrograms. 519730600000 Convert 1261.1814 months to decades. 10.509845 Convert 7.033012mm to micrometers. 7033.012 How many micrograms are there in 92.00423t? 92004230000000 How many months are there in fourty-five eighths of a century? 6750 What is 1.909716 nanograms in micrograms? 0.001909716 How many meters are there in 0.248271 micrometers? 0.000000248271 How many millilitres are there in six fifths of a litre? 1200 What is 7204.683 months in millennia? 0.60039025 What is 1/16 of a milligram in nanograms? 62500 What is 1/15 of a day in seconds? 5760 What is 86502.85 litres in millilitres? 86502850 How many kilograms are there in seven eighths of a tonne? 875 What is three fifths of a milligram in micrograms? 600 How many millimeters are there in 21/8 of a meter? 2625 How many years are there in five quarters of a millennium? 1250 How many months are there in 45/8 of a decade? 675 What is 6.310539 millennia in decades? 631.0539 What is 322.0786 litres in millilitres? 322078.6 How many centimeters are there in 3/50 of a kilometer? 6000 How many months are there in fifty-three fifths of a century? 12720 Convert 63368.82 weeks to hours. 10645961.76 How many kilograms are there in 70072.54g? 70.07254 What is 792.54828 minutes in days? 0.55038075 What is 45.0108 millennia in decades? 4501.08 What is ten ninths of a hour in seconds? 4000 What is fifty-three fifths of a second in milliseconds? 10600 What is one quarter of a microgram in nanograms? 250 What is twenty-seven halves of a milligram in micrograms? 13500 What is five eighths of a litre in millilitres? 625 How many nanoseconds are there in 3/40 of a microsecond? 75 Convert 367.3004ml to litres. 0.3673004 How many centimeters are there in 33.4499nm? 0.00000334499 How many months are there in twenty-seven quarters of a millennium? 81000 Convert 4.7145 years to months. 56.574 What is 4/3 of a day in minutes? 1920 Convert 621.9217 micrograms to kilograms. 0.0000006219217 What is 981015.4 micrograms in kilograms? 0.0009810154 How many millilitres are there in eleven halves of a litre? 5500 How many micrometers are there in fourty-four fifths of a centimeter? 88000 How many nanometers are there in 43/4 of a micrometer? 10750 How many milliseconds are there in 3/5 of a second? 600 Convert 97229.65 millilitres to litres. 97.22965 What is 907.3664 years in millennia? 0.9073664 How many months are there in 2.263409 years? 27.160908 How many centimeters are there in 82293.1nm? 0.00822931 How many centimeters are there in 2/125 of a kilometer? 1600 What is 93.86895mg in grams? 0.09386895 How many millilitres are there in three fifths of a litre? 600 What is 0.565265 nanoseconds in microseconds? 0.000565265 Convert 9239.508 millennia to months. 110874096 How many nanograms are there in 72/5 of a microgram? 14400
What is the value of 4/3*126/(-42)? -4 What is the value of (3/2)/((4/(-8))/1)? -3 Calculate (-3*3/9)/((-6)/(-60)). -10 What is (-24)/(-2)*(-26)/(-39)*-1? -8 What is the value of 7/(-28)*2*(-8)/(-10)? -2/5 What is the value of ((-1)/45)/((-68)/102)*-2? -1/15 ((-8)/14)/((-11)/(308/(-8))) -2 Evaluate 0/(-119)*-1*2/(-10). 0 (-2)/(-25)*(-140)/(-56) 1/5 Evaluate (45/2)/(-3)*(-4)/(-40). -3/4 What is the value of 1/(96/160*(-1)/3)? -5 (9/8)/(21/(-14)) -3/4 What is (32/504)/(18/(-81))? -2/7 Evaluate (-57)/(-418)*8/6. 2/11 What is the value of ((-8)/(-70))/((-6)/(-15))? 2/7 What is 2/(-3)*1548/2408? -3/7 Evaluate (87/(-87))/(-1*1). 1 Evaluate (5/35)/((80/(-56))/(-1)). 1/10 What is the value of (10/4)/(2/(-64)*-16)? 5 What is the value of (((-42)/(-12))/7)/(9/(-6))? -1/3 Calculate ((-10*2)/(54/27))/2. -5 What is (2/3)/((-24)/(-108))? 3 Calculate ((-12)/36*(-3)/1)/(-5). -1/5 Calculate 4/5*15/(-66)*-1. 2/11 (-72)/135*6/(-4)*5 4 What is (-3*(-12)/(-18))/(3/6)? -4 What is the value of 14/8*(-46)/(-1127)? 1/14 (-3)/(10/((-40)/(-6))) -2 Calculate (216/27)/(2/(-1)). -4 Calculate (-45)/54*-6*10/225. 2/9 (9/6*-2)/(7/7) -3 Calculate -16*(51/(-102))/(-1*1). -8 Evaluate (1*(-9)/(-9))/((-2)/6). -3 Evaluate (8/20)/(9/(-15)). -2/3 What is 10*(12/5)/6? 4 Evaluate ((-2)/(1*14))/(52/(-208)). 4/7 (27/2)/(-9)*(-4)/(-3) -2 Calculate 40/(-25)*5/(-2). 4 (-1)/(-2)*3/(-9) -1/6 What is the value of 520/(-208)*4/5? -2 What is the value of ((-9)/12)/(3/12)? -3 What is (-3)/(-6)*2/(-1)? -1 What is the value of ((-312)/(-130))/(8/(-20))? -6 (-52)/(-39)*3/(-2) -2 What is ((-3)/(162/12))/(2/12)? -4/3 What is (-12)/24*(-3)/6? 1/4 What is the value of 3*(-8)/(-24)*-1? -1 405/81*2/(-5) -2 Evaluate 144/60*(-25)/(-45). 4/3 Calculate 2/(-4)*(-20)/80. 1/8 What is (((-32)/(-20))/4)/((-2)/20)? -4 What is (-3*(-1)/3)/(-1)? -1 What is the value of 12/(-2)*8/(-16)? 3 What is the value of (10/(-40))/((-4)/(-8))? -1/2 (-10)/(-20)*30/9*-1 -5/3 What is (16/4)/24*6? 1 Evaluate (-2)/(-6)*(-1)/(8/(-6)). 1/4 Evaluate (-2)/(-3*12/(-54)). -3 Evaluate 7*(-8)/(-24)*-3. -7 Calculate (3/(-4))/(255/(-34)). 1/10 Calculate (-8)/(-10)*(-3)/((-48)/(-40)). -2 Calculate (12/168)/(7/686). 7 4/(2/6*-3) -4 What is the value of (1/(-2))/(((-9)/3)/(-12))? -2 Calculate 1/(-2)*(24/7)/2. -6/7 What is the value of (-11)/66*2*2/(-4)? 1/6 What is the value of ((-10)/(-8))/((-15)/(-72))? 6 What is (-2)/(-3)*(-25)/50? -1/3 What is the value of ((672/196)/(-8))/((-1)/21)? 9 Evaluate 20/12*(-330)/3025. -2/11 What is (3/(-5))/(36/(-24))? 2/5 (128/(-40))/((-10)/25) 8 Calculate (-3)/6*2*1*0. 0 Evaluate ((-15)/2)/(-3)*(-92)/1035. -2/9 What is the value of (-2)/6*(-243)/(-27)? -3 (22/(-55)*6)/(3/10) -8 What is (-27)/(-81)*4/(12/9)? 1 Evaluate (0/3)/(29/(-29)). 0 (4/(-6))/(112/42) -1/4 Calculate (5/(-75))/(4/(-12)). 1/5 Calculate (2/7)/(36/378*-18). -1/6 Evaluate (-2)/(-4*2/4). 1 Calculate ((-3)/10)/(126/105). -1/4 What is (-3)/(-10)*23/((-69)/8)? -4/5 Calculate (24/54*-3)/((-22)/3). 2/11 Evaluate ((-1)/(-6))/((-28)/(-72)). 3/7 Evaluate ((-5)/50*6)/((-2)/(-10)). -3 What is (((-215)/10)/(-43))/((-2)/36)? -9 Evaluate (-3*7/(-126))/((-6)/8). -2/9 ((5/10)/(-1))/((-14)/(-8)) -2/7 What is ((-5)/(-1))/(((-35)/7)/(-5))? 5 Calculate 4/4*-1*3/(-3). 1 45/(-5)*-2*4/(-12) -6 Evaluate -1*(-8)/(-60)*3/1. -2/5 Calculate ((-2)/5)/((-118)/(-1770)). -6 (5/(350/(-20)))/((-4)/7) 1/2 Calculate 6/((-54)/(-3))*(-120)/(-8). 5 What is the value of (-5)/14*-4*(-5)/(-25)? 2/7 What is (48/(-30))/((-16)/(-40))? -4 What is 12/(-30)*(-5)/2? 1 What is the value of ((-4)/4)/((-6)/(-24))? -4 (-2)/(-30)*2/((-2)/(-3)) 1/5 Evaluate (-4)/6*(-3)/(-4)*5. -5/2 Evaluate (6/4)/(((-45)/(-10))/(-9)). -3 Calculate ((-1)/(-21))/(-11*1/(-66)). 2/7 24/18*(-3)/14 -2/7 Evaluate 1/(((-12)/(-10))/(-6)). -5 What is (306/1836)/((-2)/(8/(-6)))? 1/9 What is (-7)/(336/(-18))*4? 3/2 Evaluate (-65)/39*9/(-5). 3 What is ((10/(10/(-2)))/(-7))/1? 2/7 What is (-6*7/(-315))/(4/10)? 1/3 (4/(-3))/(28/(-105)) 5 (-68)/(-51)*(-9)/6 -2 14*2*4/(-144)*-9 7 Evaluate (-4)/1*(-504)/288. 7 ((-408)/714)/((-1)/((-14)/4)) -2 What is the value of ((-5)/2)/(76/152)? -5 (-232)/(-174)*2/(-16) -1/6 What is the value of (-6)/(-4)*-4*(-112)/96? 7 What is the value of (-2)/(32/10)*14/35? -1/4 20*(-15)/30*(-1)/(-2) -5 What is the value of 2*4/3*(-8)/(-96)? 2/9 What is the value of (-2)/((-1)/2*1)? 4 Evaluate ((-20)/40)/((-3)/(-4)). -2/3 Evaluate (-5)/(-6)*(-6)/1*-1. 5 What is 3/(-2*(45/(-10))/9)? 3 Calculate ((-225)/300)/((-2)/(-8)). -3 Calculate -3*2/(-54)*3/(-3). -1/9 Evaluate (-7)/(-175)*2*5. 2/5 Calculate 3*(-6)/(-27)*4/(-40). -1/15 Calculate 6/(-1*(-15)/(-10)). -4 Calculate (-7)/(((-546)/12)/13). 2 What is the value of (13/(-13))/(-1*3)? 1/3 Calculate (-3)/(45/((-180)/(-12))). -1 What is (6*10/(-60))/(2/8)? -4 What is (8/(-4))/4*(-6)/3? 1 What is ((-4)/(-16))/(12*(-12)/(-256))? 4/9 What is (7/(-63))/(3*(-1)/(-9))? -1/3 Calculate (-12)/(-3)*(-7)/((-49)/(-7)). -4 What is 100/(-75)*(-1)/(-6)? -2/9 (-3)/5*(-130)/156 1/2 What is the value of 3/(15*-1)*(-17)/(-17)? -1/5 What is the value of (8/48)/((-5)/15)? -1/2 Calculate ((-5)/15*-14)/((-6)/(-9)). 7 Evaluate (-3)/2*12/(-6). 3 What is 8/24*(-12)/20? -1/5 Evaluate ((-1)/(-1))/((-3)/(-3)). 1 What is the value of ((6/(-14))/3)/(22/44)? -2/7 What is (9/60)/(6/144*18)? 1/5 What is ((-1)/2)/(2*(-4)/96)? 6 What is ((3/9)/(9/(-3)))/1? -1/9 (0/(8/2))/(1/(-1)) 0 Calculate (-19)/19*(6/3)/(-2). 1 108/(-24)*(-4)/(-6) -3 Calculate ((-6)/(-3))/2*1/(-3). -1/3 Calculate (-14)/48*-3*24/84. 1/4 8/6*(9/138)/1 2/23 Calculate ((-30)/6)/5*3. -3 91/39*2*(-6)/8 -7/2 Calculate ((-57)/(-38))/(-2*-6*1). 1/8 (-1*6)/3*(-95)/(-2470) -1/13 What is the value of ((-62)/(-93))/(-3*3/(-27))? 2 What is the value of (-68)/408*(-3)/2? 1/4 What is ((-2)/6)/((-41)/(-123))? -1 What is the value of (6/(-33))/(1224/(-1122))? 1/6 What is the value of (20/(-40))/((-1)/(-6)*2)? -3/2 Calculate -2*9/18*3. -3 ((-48)/18*-3)/2 4 What is -2*(-2)/52*2/1? 2/13 What is (6/1)/((-54)/(-36))? 4 What is -1*(-6)/(-150)*(-5)/2? 1/10 Evaluate (2/2)/((-5)/20*4). -1 -3*((-15)/27)/1 5/3 What is 1/((-2)/((-80)/8))? 5 What is (8/10)/(16/3000*-15)? -10 What is the value of 1*-1*(-4)/4? 1 What is the value of 0/(6*8/(-24))? 0 Evaluate (((-44)/(-18))/11)/(7/9). 2/7 Calculate (4/(-108))/(78/(-351)). 1/6 Evaluate (-16)/(-8)*16/8. 4 What is (9/(-54))/(1/6)? -1 What is (0/(-5))/(2/2*-2)? 0 Evaluate (-28)/40*(-40)/(-70). -2/5 (-2)/2*(-102)/(-663) -2/13 Calculate ((-1)/2)/((-8)/80). 5 What is (-8)/(-30)*(-10)/140*-21? 2/5 Calculate (20/16)/((99/(-36))/11). -5 Evaluate (80/(-1440))/(1/(-6)). 1/3 Evaluate (6/144)/(-1)*(-27)/3. 3/8 Evaluate ((-2)/(-3))/((-8)/(-24)). 2 3/(-6)*(-8)/(-2) -2 What is the value of ((-6)/(-72)*-4)/(2/(-6))? 1 What is the value of (6/33)/(-30*(-14)/462)? 1/5 Calculate -5*1*10/(-25). 2 What is 0*-1*(5/(-1))/(-5)? 0 Calculate (2/(-28)*4)/(3/(-21)). 2 Evaluate ((-2)/(-2))/((10/(-2))/20). -4 What is the value of ((-30)/50)/(-1*2/(-10))? -3 What is 1*(-2)/3*2/(-4)? 1/3 What is 3/8*(-18)/54? -1/8 (-46)/(-69)*1/(-2) -1/3 What is 18/(-9)*(9/(-3))/(-21)? -2/7 54/(-36)*8/21 -4/7 -2*1*(-210)/(-84) -5 Evaluate -14*(-3)/((-21)/2). -4 What is the value of ((-1)/2)/((-28)/448)? 8 Evaluate (3/(-2))/((-2)/(-4)). -3 Evaluate 35/(-28)*4/20. -1/4 Evaluate (1/1)/(44/(-88)). -2 What is the value of 1/(5/(-2))*1315/(-5523)? 2/21 ((9/(-6))/(15/(-40)))/1 4 What is the value of ((-5)/(-210)*4)/(5/(-30))? -4/7 What is -2*5/5*1? -2 Calculate 0/(-1)*7/21. 0 Calculate (-54)/24*8/3. -6 (-2)/(-3)*3*2/(-6) -2/3 What is 90/(-48)*20/(-250)*5? 3/4 Calculate (-18)/(-12)*224/(-240). -7/5 Calculate ((-6)/4*2)/(6/8). -4 Evaluate ((-20)/35)/(3/((-42)/(-4))). -2 Evaluate (2*(-1)/8)/((-77)/1848). 6 What is the value of ((-8)/(-10))/((-88)/20)? -2/11 (16/3)/4*6/(-4) -2 Calculate (-60)/40*2/27. -1/9 Calculate (-2)/(-4)*(-22)/55. -1/5 What is the value of ((3/(-2))/(-1))/(191/(-764))? -6 What is the value of ((-47)/(-188))/((-11)/24)? -6/11 Evaluate ((-2)/4)/(14*(-4)/(-48)). -3/7 Evaluate (105/30)/(((-9)/(-6))/3). 7 Calculate 1*(-24)/(-6)*5/130. 2/13 Evaluate (-4)/(7/(42/(-8))). 3 What is ((-200)/175)/((-4)/(-14))? -4 ((-19)/19)/(((-9)/(-3))/24) -8 Calculate (1/1)/((4/(-20))/(-1)). 5 What is 6*-2*(-1)/6? 2 What is the value of (-87)/(-58)*(-16)/(-6)? 4 Calculate 15/70*1/(-1)*-2. 3/7 Evaluate ((-3)/8)/((-15)/20). 1/2 (-12)/(36/3)*7 -7 Evaluate (-90)/(-120)*36/(-3). -9 1/(-1)*16/(-128) 1/8 What is the value of (-56)/(-147)*48/(-32)? -4/7 112/(-64)*3/(-21) 1/4 What is the value of (-2)/(-35)*(-40)/(-8)? 2/7 ((-15)/18)/(5/(-3))*2 1 Evaluate 3/(6/(-2))*(-2)/5. 2/5 Calculate 7/3*(-6)/2. -7 (-1820)/(-390)*6/7 4 (-2)/(4*2/(-12)) 3 12*21/(-63)*1/(-2) 2 Calculate -5*(-12)/20*-1*-1. 3 What is 3/(-1)*-4*4/(-144)? -1/3 Calculate 1/(-5*(-5)/(-75)). -3 What is (4/((-48)/(-4)))/((-55)/15)? -1/11
Let k be 61/6 - 2/12. Suppose -k + 2 = -4*y. List the prime factors of y. 2 What are the prime factors of ((5 + 279)/(-4))/(0 - 1)? 71 Let r = -4 - -11. Let h = r - 0. Suppose 4*y = 5*s - 34, -3*s - 4*y + 39 + h = 0. List the prime factors of s. 2, 5 Let g = -1 - -1. Suppose g = k - 5. Suppose -k*r = -83 + 13. List the prime factors of r. 2, 7 Suppose 38 = -0*t + t. Let m = t - 23. List the prime factors of m. 3, 5 Let v(r) = r + 5. Let j be v(-9). Let h = j - -13. List the prime factors of h. 3 Let v(k) = -2 + 3*k + 2*k + k - 5*k. Let w be v(2). List the prime factors of 5*(w + 1)*2. 2, 5 Let d(c) = -c**2 - 14*c + 1. Let w be d(-7). Let n = 74 - w. What are the prime factors of n? 2, 3 Let t(x) = -x + 4. Let r be t(8). Let d be (-14)/r*(0 + 8). Suppose -6*k = -2*k - d. What are the prime factors of k? 7 Let d = -10 + 15. Suppose 5*x + 4*p - 130 = 0, d*x + p = -p + 140. What are the prime factors of x? 2, 3, 5 Suppose 6 = 2*a - 4. What are the prime factors of a? 5 Let a(y) = 6 + y - 2 + 3*y - 5*y. List the prime factors of a(-4). 2 Suppose -3*l + 11 = -4. Suppose 16 + l = 3*p. List the prime factors of p. 7 Let g = -3 - -4. Let q be 2/1 + -1 + g. What are the prime factors of ((-3)/q)/(3/(-4))? 2 Let d be (-2 + 3)*(-3 + 2). Let p = d - -3. What are the prime factors of p? 2 Let k be (-110)/6 + (-7)/(-21). What are the prime factors of (k/(-3))/((-6)/(-33))? 3, 11 Let k = -18 + 15. List the prime factors of -2*58*k/12. 29 Suppose -2*y + t = 6*t - 8, -3*y - 3*t = -30. Suppose -y = 2*k - 0*k. Let a(j) = -2*j - 7. List the prime factors of a(k). 7 Let l(v) = 63*v. Let q be l(1). Let h be q/6*60/(-7). What are the prime factors of h/(-5) + 2 + -2? 2, 3 Suppose -6*c + 2*i - 2 = -c, -3*c - 5 = -5*i. Let z be 3/2*(2 + c). Suppose -z*n + 17 = -l - 2, -2*l = 4*n - 42. What are the prime factors of n? 2 Suppose 5*r - 5*a - 105 = 0, -4*r + 0*r + a + 90 = 0. Let i = r + -33. Let y = i - -19. What are the prime factors of y? 3 Let z(x) = -x**2 - 15*x - 1. List the prime factors of z(-6). 53 Suppose 0 = -5*t + q + 280, t - 2*q = -3*q + 50. List the prime factors of t. 5, 11 Let b(w) = w**3 - 11*w**2 + 18*w + 23. List the prime factors of b(10). 103 Suppose 0 = b - 0*b. Let o be (-1 - 1) + (1 - -3). Suppose 2*v = -b*v + 5*y + 21, -19 = -o*v + 3*y. What are the prime factors of v? 2 Suppose 118 = -2*w + 558. List the prime factors of w. 2, 5, 11 Suppose g - 157 = d, 9*g - 4*d = 4*g + 782. What are the prime factors of g? 2, 7, 11 Suppose -4*k = -2*h + 396, -4*k + 1081 - 63 = 5*h. List the prime factors of h. 2, 101 Let c(j) = -15*j + 7. What are the prime factors of c(-4)? 67 Suppose 0*w - 27 = -3*w. What are the prime factors of w? 3 Let r = 2 - 2. Suppose r = w + 1 + 6. Let n = w + 22. List the prime factors of n. 3, 5 Suppose -2*u = w - 40 - 17, 102 = 4*u - 2*w. What are the prime factors of u? 3 Suppose 0 = 4*b - 2*b - 4, 0 = 4*x + 3*b - 10. List the prime factors of (6 + -2)*(x - -1). 2 Let q = -4 - -38. List the prime factors of q. 2, 17 Let i be 81/(-6)*(-8)/6. Let o = i - 6. List the prime factors of o. 2, 3 Let l be (1 - 1)*2/(-2). Let j(f) = 4*f + 22. Let n be j(-5). Suppose l = -n*o - 0 + 8. List the prime factors of o. 2 Let j(l) = -26*l - 3. List the prime factors of j(-3). 3, 5 Suppose 0 = -2*d + 4*y - 19 + 95, -136 = -4*d + 4*y. List the prime factors of d. 2, 3, 5 Let y = -55 - -82. What are the prime factors of y? 3 Let q = 14 - 22. List the prime factors of q*((-27)/6 + 2). 2, 5 Suppose -5*a = -18 - 137. Let d = a - -9. What are the prime factors of d? 2, 5 Let k(b) = b - 8. Let y be k(7). Let c be 4 - 2*(-2 - y). Suppose -3*s + 27 + c = 0. What are the prime factors of s? 11 Let v = 118 - 20. What are the prime factors of v? 2, 7 List the prime factors of (-20)/(-5)*22/8. 11 Let z(c) be the first derivative of c**4/12 - 7*c**3/6 - c**2 + 2*c - 1. Let l(m) be the first derivative of z(m). What are the prime factors of l(8)? 2, 3 Let c = -16 - -30. What are the prime factors of c? 2, 7 Let y(i) = -11*i + 7. Let t be y(5). Let k = 30 + t. What are the prime factors of (-50)/k - (-2)/9? 3 Let o be (-2 - 0)/(-1) - -30. Suppose 3*x = -11 + o. What are the prime factors of x? 7 Suppose -v + 4*r = -5, -3*r - 5 = -v - 1. Let a(d) = 10*d - 1. List the prime factors of a(v). 3 Suppose 19 + 32 = 2*x - c, x - 5*c = 12. List the prime factors of x. 3 Suppose -5*g - 40 = -5*f, 4*g + 4*f + 8 = -0*g. Let o be (g/3)/(3/(-45)). Suppose -i = -6*i + o. List the prime factors of i. 5 Suppose 3*q + 7 = 25. Suppose -3*i - 9 = -q*i. Suppose 2*y + 3*u - 7 = 2*u, 0 = -u + i. What are the prime factors of y? 2 Let z = 273 - 142. Suppose 0 = -5*q + 29 + z. What are the prime factors of q? 2 Suppose -4*o - c = -1105, 0 = 5*c + 6 + 9. List the prime factors of o. 277 List the prime factors of (-1684)/(-14) + 2 + 10/(-35). 2, 61 Let b(w) = -w**3 + 9*w**2 - 14*w + 8. What are the prime factors of b(7)? 2 Suppose 0 = -0*o + 5*o + 160. Let h(k) = 12*k**2 + k. Let r be h(-2). Let g = r + o. What are the prime factors of g? 2, 7 Suppose 2*k - 5*m - 104 = 8, -5*k - 2*m = -222. Let i(r) = 2*r**2 + 22*r - 5. Let u be i(-10). Let q = u + k. List the prime factors of q. 3, 7 Let i = -6 - -6. Let c(y) = y**3 - 5*y**2 + 5. Let n be c(5). What are the prime factors of (2 - i) + n + 0? 7 Suppose -4*z - 2*n - 629 = -9*z, -3*n = -9. What are the prime factors of z? 127 Let a(r) = -103*r**3 - 5*r - 4. What are the prime factors of a(-1)? 2, 13 Let u = -7 + 7. Suppose u = 4*h + 19 + 9. Let w(t) = t**3 + 8*t**2 + 5*t - 7. What are the prime factors of w(h)? 7 Let y be ((-1)/(-2))/(2/164). Let z be 26/7 - 2/(-7). Suppose z*p = p - x + 44, 0 = 2*p + 3*x - y. What are the prime factors of p? 13 Let w(p) = -2*p + 1 - 6 + 3. Let x be -2 - -1 - (0 - -5). List the prime factors of w(x). 2, 5 Let d be (-10)/4*(-36)/15. List the prime factors of d + -4 + 0 + 52. 2, 3 Let c be (2/(-3))/(4/6). Let l = c - -2. Let y = l - -1. What are the prime factors of y? 2 Let r(w) = -w - 5. Let l be r(-9). Suppose -b + 15 = l*b. What are the prime factors of b? 3 Suppose 7*r - 60 = 5*r. What are the prime factors of r? 2, 3, 5 Let k be (40/15)/((-2)/(-141)). List the prime factors of k/6 - 4/12. 31 Let k(a) = 5*a**2 - 1. Let p be k(1). What are the prime factors of (-3)/p*4*-11? 3, 11 Let j be (-2)/3 - (-26)/3. List the prime factors of (-1 - j)/((-6)/8). 2, 3 Let d(m) be the first derivative of 0*m**3 + 0*m**2 + 13*m - 1/4*m**4 + 3. What are the prime factors of d(0)? 13 List the prime factors of (2/(-2))/(3/393)*-1. 131 Suppose -u + 7 = -0*u. Suppose 0 = -2*j + u*j + 75. Let q = 23 + j. List the prime factors of q. 2 Let g = -1 - -7. Suppose 0 = -u + 25 - g. List the prime factors of u. 19 Let d(k) = k**2 + k. Let h(w) = -w**2 - w. Suppose 6 = -3*i + 3*g - 0, -4*g = 4*i + 8. Let a(t) = i*h(t) - d(t). List the prime factors of a(1). 2 Suppose 0*g + 2*g - 14 = 0. Suppose 4*l = -g + 19. Suppose -l*n + 16 = 5*z, 6*z - 48 = -5*n + 3*z. List the prime factors of n. 2, 3 Let x be 8/(-3)*60/(-8). Suppose 0*r + x = 5*r. Suppose u - 2*u + r = 0. List the prime factors of u. 2 Let v = -160 + 273. What are the prime factors of v? 113 Let i be (-4 - -5)/((-2)/10). Let y(d) = -d**3 - 6*d**2 - 8*d - 3. What are the prime factors of y(i)? 2, 3 Suppose 2*v - 16 = -4*g, 4*g - v - 16 = -6*v. Suppose 2*l + y = -2*y + 52, g*y + 44 = 3*l. What are the prime factors of l? 2, 5 Let b(m) = -40*m**3 - 2*m + 1. Let i be b(1). Let l = i - -75. What are the prime factors of l? 2, 17 Let q = 21 + -29. Let p = q - -17. What are the prime factors of p? 3 Suppose -a + 539 = 6*a. What are the prime factors of a? 7, 11 Suppose 11 = u - 2. Suppose -u = -3*b - 4. Suppose 105 = 5*a - p, 2*a + 3*p = b + 22. List the prime factors of a. 2, 5 Let i be (-28)/(-10) + 4/20. Suppose 5*s + k - 69 = 0, 5*s - 74 = k + i*k. List the prime factors of s. 2, 7 Suppose -4*r = 3*g - g - 168, 5*g - 468 = 2*r. List the prime factors of g. 2, 23 Suppose -3*n + 0*n = -4*b + 5, 7 = -n + 4*b. Suppose -3*v + 6 = s - n, -v + 1 = -s. Suppose 3*d + 2*l = 19, -v*l = -5*d - l + 36. List the prime factors of d. 7 What are the prime factors of 5/((-5)/3) + 15? 2, 3 Suppose z = -3*n + 94, 4*z - z - 150 = -5*n. Suppose 0 = -2*b + 2*s - n - 21, 4*b - 2*s = -110. List the prime factors of 7/b - (-33)/4. 2 Suppose 3*q - 9 = -3. Let f(o) = -o**2 + 8*o - 5. Let s be f(6). Suppose 0 = -q*h + s*h - 10. List the prime factors of h. 2 Let f = 5 - 8. Let z(s) = 18*s**2 + 4*s + 3. Let g be z(f). List the prime factors of 2/8 - g/(-12). 13
Let u be (-6)/(-4) + (-6)/(-12) + 3. Let a = 3 - -4. Suppose -g = 4*i - a, u*g + 3*i - 16 = 2*i. Solve 5*m + 2*q + 6 = 2*m, -g*m + 4*q - 24 = 0 for m. -4 Suppose -5*w - 9*g = -5*g - 195, -5*w = -3*g - 160. Solve 2*n = -5*b + w, b - 8*n + 15 = -4*n for b. 5 Let k(q) = 5*q + 3. Let s be k(8). Let n = s - 40. Solve n*y - 2*h = 3*h - 19, y = 4*h - 11 for y. -3 Let h = -319 - -324. Solve -h*z - 17 = -4*c, -z = 2*c - 0*c - 5 for c. 3 Let m be 9174/330 + (-12)/(-10). Solve -9 = -4*o + 4*v - m, 0 = o + 2*v + 2 for o. -4 Let g(s) = -3*s**3 + s**2 - 2*s - 3. Let f = 14 - 15. Let y be g(f). Solve -5*p - q + 13 + 4 = 0, p - 9 = -y*q for p. 3 Let y = -78 + 80. Let v(o) = o**2 - 4. Let a be v(-3). Suppose -x + 29 = -5*n, 3*x - x - a*n = 33. Solve 0 = -x*f + 4*k - 2 - 6, -10 = y*f - 4*k for f. 1 Let x = -2 + 4. Let d = 10 + -6. Suppose -d*a - 16 = 0, a - 12 = -2*f + 2*a. Solve -4*v = -x*c - f, v + 8 + 0 = -4*c for v. 0 Let x(m) = -2 - m + 0*m + 1. Let z be x(-6). Suppose -3*a + z*a = 4. Solve 0*o - a*n + 12 = -3*o, -o + n - 5 = 0 for o. -2 Let w = 35 + -49. Let p(t) = t**2 + 13*t - 2. Let q be p(w). Solve -4*g - 5*y = -3*g + 14, 3*g + 5*y = -q for g. 1 Let r = 1 - -4. Let w be (16/64 + 2/(-8))/(-2). Solve 40 = r*y + 5*d, w = -0*y - 3*y + 5*d for y. 5 Suppose 0*z - 2*z = -3*k + 6, -15 = 5*z - 4*k. Let a be -2 + (-26)/(-6) - (-1)/z. Solve 3*l - 2 = b + l, -4 = a*b - 2*l for b. -2 Let f be (-12)/9*198/(-4). Let u be (-1)/4 + f/8. Let v = 1225 - 1222. Solve 2*q + 7 = a, -q - v*a - u = -2*a for q. -5 Let w(y) = y**2 + 2*y + 1. Let c = 2 - 12. Let u = 9 + c. Let b be w(u). Solve b = -h + 5*a + 5, -3*h - 3*a + 17 = 2 for h. 5 Suppose a - 6 = -5*k + 1, 3*a = k + 5. Suppose -5*o = -a*o + 6. Let v be 286/55 + o/10. Solve 0 = 3*n - 12, -52 + 12 = 4*i - v*n for i. -5 Let t(m) = 0*m - 4*m**2 + 2*m - 9 - 3*m**2 + m**3. Let d be t(7). Suppose -47 = -d*o + 3. Solve x = 6*x + 2*i + o, 3*x = 3*i + 15 for x. 0 Let g(s) = -6*s - 184. Let c be g(-31). Solve 7 = 3*i - 2, -c*m + 9 = i for m. 3 Suppose 22 = 6*v - 4*v. Suppose -3*a - v = -29. Solve -2*w - a = 2*w + 5*s, 0 = 2*w + s for w. 1 Let m(x) = -x**2 - 19*x + 66. Let k be m(3). Solve n - 3*g + 8 = k, 3*n = 5*n - 4*g + 12 for n. -2 Let k be (4/6)/((-4)/(-42)). Suppose 18 + 6 = 6*p. Let d = k - p. Solve -3*h = d*t, 0*t = 4*h + 3*t + 1 for h. -1 Let b be (-148)/(-28) - 2/7. Let x(n) = n**3 - 3*n**2 - 6*n + 4. Let s be x(b). Solve 4*c + s = -4*i - 0*c, 3*i = -4*c - 20 for i. -4 Suppose 2*b + 5*a - 148 + 139 = 0, 4*b - 2*a - 6 = 0. Solve -3*z - 2*d + 6 = 0, -2*d = -b*z - 4 - 2 for z. 0 Let n(h) = h**3 - h**2. Let w be n(1). Let m be (-18)/24 + 3/4. Suppose 3*a + w - 15 = m. Solve -q = 3*p, 0*p = -a*p for q. 0 Let z(t) = -t + 5. Let n be z(5). Let x be 1*((-6)/(-3) - n). Solve 0 = v + 3*d + 14, -4 = 2*d + x for v. -5 Suppose i = -3*g - 7 + 23, 2*g = -i + 12. Solve 4*y = g*a - 8, -y - 2 = -4*a + 2*a for a. 0 Let i(t) = t**3 + 14*t**2 + 12*t - 3. Let a be i(-13). Let k be a + -4 - (0 + 2). Solve -4*u + 6*l - 4 = 2*l, k*u + 3*l - 24 = 0 for u. 3 Let n = 47 + -44. Suppose -2*d = -n*d + 5. Solve -5*y - 17 = 3*z, 0 = -d*y - 5*z - 15 for y. -4 Let v(i) = 2*i - 13. Let t be v(6). Let h(l) = -12*l**3 + 3 + 1 - l**3 - 3. Let d be h(t). Solve -p = -2*c + 4 - d, -4*c = -5*p + 20 for c. -5 Let f = -180 - -185. Solve 4*h - 2*y - 2*y + 12 = 0, -15 = f*h - y for h. -3 Suppose -98 = -12*n - 38. Solve n*f = -3*h - 28, f = 6*f + 5*h + 30 for f. -5 Let k be (0 + 6/9)*(15 - 12). Solve k*q = -2*w + 8, -2*q = 2*w + 2*w - 18 for q. -1 Let w = -7 + 12. Suppose w*s + 5 = 15. Suppose -3*r = -5*n - s, -3*n - n + 4*r - 8 = 0. Solve -2*o = n*m + 2*o - 24, -3*m + 11 = o for m. 2 Suppose 44*q = 30*q + 70. Solve -4*c = -3*o - 1, 3*o - q*c - 1 = -3*c for o. 1 Let j(g) = g + 10 - 10 + 12. Let x be j(-6). Solve -17 = 5*d - 2*v, d - x*d - 18 = -3*v for d. -3 Suppose 5*l = 8 + 27. Suppose 17 = 5*p + l. Suppose 14*a - 11*a = 0. Solve 5*j + p*h - 5*h + 30 = a, 4*h = -j + 17 for j. -3 Suppose 0 = -5*c - 16 + 56. Let k(t) = 2*t**2 - 47*t + 224. Let q be k(17). Solve 5*i - 4*n + 24 = 0, -4*n = -4*i + q*i - c for i. -4 Suppose 54*q = 49*q + 20. Solve 5*l = 6*l, 0 = 4*a - q*l - 8 for a. 2 Let t(g) = -g**3 - 19*g**2 + g + 21. Let n be t(-19). Suppose 81*r - n = 80*r. Solve -2*v - 5*i = -3, 3*i = r*v + 7 - 2 for v. -1 Let i be ((-2)/4)/((-2)/4). Let l be (-4 - -2 - -2)/i. Suppose -5 - 3 = -2*b. Solve -5*h = -l*y + 3*y + 26, b*h + 26 = -5*y for y. -2 Let p = -1999 - -2005. Solve 0 = 5*c + 2*s - 9, -p = -2*c - 5*s - 15 for c. 3 Let f be 6 - 5*4/20. Let v = 3 + 1. Solve 2*h = -3*w - 2*h - f, 1 = w + v*h for w. -3 Let v be 43 - 47 - 2*-2. Solve 3*i + 22 = -5*k, 3*k + 4*i - 5 + 16 = v for k. -5 Suppose 5 = 3*a + 29. Let z(s) = 3*s - 5. Let k be z(6). Let j = a + k. Solve g + 2*g + 3*f = -6, 0 = -j*g - f + 10 for g. 3 Let p(a) = 5*a**2 - a - 1. Let k be p(-1). Let n(f) = 2*f + 10. Let w be n(-4). Suppose -w*i = -i. Solve 3*j = -k*c - 3 - 37, i = -3*c - 15 for j. -5 Suppose 0 = -3*w + 6*j - 2*j + 16, 0 = 2*w + 5*j + 20. Solve w*h + h = -2*l - 3, 2*h + l = -6 for h. -3 Suppose -3*z + 0*z + 27 = 0. Suppose z*h + h = 2*h. Suppose c + 3*g - 19 = -3*c, -5*g = -3*c + 7. Solve h = p - c, -i - 4*p = -7 - 10 for i. 1 Let p(d) = d**3 - 12*d**2 - 6*d - 88. Let j be p(13). Solve x + 3*u = -11, j*x - 13 = 8*x + u for x. -2 Suppose -38 = 109*i - 128*i. Solve 4*f - f + 3*t = -6, -i*t = -5*f + 18 for f. 2 Let t(v) = 5*v**2 - v - 1. Let b be t(-1). Solve -4 = -b*s + w + 1, 2*s = -2*w + 2 for s. 1 Let g = 0 - -5. Let u(w) be the first derivative of -w**2/2 - 9*w - 4. Let d be u(-12). Solve 0 = d*s - 5*h + 4*h + 10, 2*s - g*h = 15 for s. -5 Let u(l) = -3*l**3 + 22*l**2 - 24*l + 4. Let k be u(6). Solve 0 = 4*a + k*h - 40, -4*a + 4*h = -7*a + 35 for a. 5 Let u = 13 + -7. Suppose -f + 4*p - 3 = 0, -3*f + 27 = 3*p + u. Solve 4*g - f*d + 5 = -7, -4*d + 12 = -4*g for g. -3 Let a(u) = -5*u + 92. Let z be a(17). Solve -4*l - 11 - 1 = 0, l + z = o for o. 4 Suppose -4*b = -0*b - 8. Suppose 0*a = -2*a - 2*s + 66, -s = 5*a - 153. Let w = a + -30. Solve w = k - v - 7, -b*v = 3*k + 3*v + 19 for k. 2 Let f be (-1 + 2)*(2 + -2). Let n be -2*(-1 + -1 + f). Let o(h) = -h**2 + 7*h - 6. Let i be o(5). Solve n*x + i = -4*z, 2*x + 23 = -2*z + 7*x for z. -4 Suppose -8*t + 12*t - 44 = 0. Solve 5*m + 17 = -2*f, 5*f = -5*m - t - 9 for f. -1 Let f(z) = 6*z**2 - 48*z + 5. Let h be f(8). Solve h*v - 3*w = -5*w + 11, -2*v = -3*w - 12 for v. 3 Let n = -7 - -13. Let s(h) = -14*h**2 + h - 1. Let i be s(-1). Let y be (-76)/i - (-5)/20. Solve 5*o - x + n = 31, o - y*x = 5 for o. 5 Suppose -3*s + 15 = 2*s. Let r be (-198)/4*28/(-21). Suppose -c - r = -71. Solve c*u = -s*t + 8, -4*t - 5*u = t for t. -4 Let q(k) be the second derivative of -k**5/20 - k**4/6 + k**3/6 + 5*k**2/2 - 24*k. Let h be q(0). Solve h*w + 5*t = 0, -5*t + 28 = -2*w - 0*w for w. -4 Let v(p) = -4 + 5 - 4 + 3*p**2 - 3*p + p**3. Let r be v(-2). Let w = 10 - r. Solve 4*x - 3*k = 9, -w*k = 4*x + 5 + 4 for x. 0 Let q = 18 - 13. Suppose q*v + 3*v = 16. Solve 2*a - 2*d = 5*a - 18, a = -v*d + 10 for a. 4 Let l = -217 + 219. Solve 0 = -4*f, 0 = 4*o + l*f - 1 - 15 for o. 4 Suppose -2*d + 9 = -0*d - n, n - 11 = -3*d. Solve 0 = -2*z + 5*f - 1, z - d - 2 = -4*f for z. 2 Let a(w) = -w**3 + 8*w**2 + w - 5. Let x be a(8). Let n be 9/(6 - x) + -1. Solve -l - 7 = -2*l + n*h, 3*l + 2*h = -3 for l. 1 Suppose 2*o + 2 = 4*r, -r + o - 2 = -3. Suppose r = -d + 5*d - 8. Let t be (-2)/4 + 7/2. Solve 0 = -q - z + 1, z - 1 = -d*q + t*q for q. 0 Let q = 29 - 28. Let b be (3/18)/((-8)/(-48)). Solve -3*w + b = 2*z, -z + 1 = -q for w. -1 Suppose -4*c - t + 2 = 0, -2 - 6 = -4*c - 4*t. Suppose c = -21*m + 19*m. Solve 3*w + o = 17, m = 2*w - 4*o - 1 - 1 for w. 5 Let g(i) = -i - 20. Let b be g(5). Let h = b + 30. Solve 0*r - 3 = -r, 15 = -5*d + h*r for d. 0 Let o be 234/42 - (-4)/(-7). Suppose 7*i - o*i = 8. Solve -2*c - 24 = -i*s, -16 - 4 = -5*s for c. -4 Suppose -20*j + 5 = -15*j + b, j + 4*b + 18 = 0. Solve 0*y - 2 = -j*y, 0 = -4*o + 3*y - 15 for o. -3 Let l(m) = 2*m - 8. Let a be 3/((-1)/9*-3). Let o be l(a). Suppose -3*w = -w - o. Solve 5*k + 5 = w*b, b = k - 3*b - 11 for k. -5 Let q = -12 - -32. Suppose 0 = -q*o + 17*o + 15. Suppose 5*z + 5*k - 30 = 0, 23 = 2*z + z + 2*k. Solve o*i + 2*t = -t + 9, 4*t + z = i for i. 3 Let d(x) = -11 + 15*x**2 - x**3 + 20 - 5. Let i be d(15). Solve -20 = -y + i*t, 4*y - 5*t = -t + 20 for y. 0 Let t be (-1)/(1/(-2)) + 7. Let f be (1 - 1) + 18/t. Solve 5*y = -z - 3 - 8, -f*y - 6 = 2*z for y. -2
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3:30 PM How many minutes are there between 4:27 PM and 5:17 PM? 50 How many minutes are there between 11:50 PM and 8:45 AM? 535 What is 10 minutes after 11:52 PM? 12:02 AM How many minutes are there between 2:42 PM and 12:00 AM? 558 What is 609 minutes after 11:32 PM? 9:41 AM What is 69 minutes after 12:43 AM? 1:52 AM How many minutes are there between 3:27 AM and 8:13 AM? 286
Sort 5, -1289083, -4 in decreasing order. 5, -4, -1289083 Sort -4, -181655, 2, 3 in decreasing order. 3, 2, -4, -181655 Sort 46, -912, 11, -87 in decreasing order. 46, 11, -87, -912 Put -4, 1, 351995, 4, -3, -5, 8 in descending order. 351995, 8, 4, 1, -3, -4, -5 Put 8355, 1409, 1, 3, -3 in descending order. 8355, 1409, 3, 1, -3 Put 667, -1, -5, -56, -3, -65, 2 in decreasing order. 667, 2, -1, -3, -5, -56, -65 Sort 5, 4, -2, 0, 814, -4. -4, -2, 0, 4, 5, 814 Sort 4, -2, -17, -67, -31, -7. -67, -31, -17, -7, -2, 4 Sort 5, -241/748, 2 in decreasing order. 5, 2, -241/748 Put -1136, 21, 3/5, -3/5, -14 in increasing order. -1136, -14, -3/5, 3/5, 21 Sort -3/5, 2/19, -2124, -0.3, 138. -2124, -3/5, -0.3, 2/19, 138 Sort -7, -4, -31, 4, 5, 1134. -31, -7, -4, 4, 5, 1134 Sort -5.171, -4/213, 0.4 in descending order. 0.4, -4/213, -5.171 Sort 2/9, -1/2, -2503, -0.8 in decreasing order. 2/9, -1/2, -0.8, -2503 Put 1, 52, -26291, 0 in ascending order. -26291, 0, 1, 52 Sort -1, 849, -1321 in descending order. 849, -1, -1321 Sort 7, 5603, -1/22, 1, 1/2 in descending order. 5603, 7, 1, 1/2, -1/22 Sort -48, 114, 122 in descending order. 122, 114, -48 Put -2, -0.25, 0.4, 352097 in ascending order. -2, -0.25, 0.4, 352097 Sort 0, 11915, 2/13, -37, -10, 2 in descending order. 11915, 2, 2/13, 0, -10, -37 Sort -2, 5, 17, -32512, -62 in descending order. 17, 5, -2, -62, -32512 Put -35, 1509221, -4 in descending order. 1509221, -4, -35 Put -26, 5239, 20 in ascending order. -26, 20, 5239 Put -2, -5, -29, 0, 3, 42 in descending order. 42, 3, 0, -2, -5, -29 Put 1/25, 2, -107872 in decreasing order. 2, 1/25, -107872 Put 1, -35, -1777, -9, 3 in descending order. 3, 1, -9, -35, -1777 Sort 1868/491, 0.4, -0.2 in decreasing order. 1868/491, 0.4, -0.2 Sort -4, 4, -56, 1, -1, -10, 10 in descending order. 10, 4, 1, -1, -4, -10, -56 Put 0.1, -9/7, -4, 6679 in decreasing order. 6679, 0.1, -9/7, -4 Sort 5, 8673, 66, 31 in decreasing order. 8673, 66, 31, 5 Sort 55, -2, 7, 122 in increasing order. -2, 7, 55, 122 Sort 556, 194, 4, -3, 10, -5 in ascending order. -5, -3, 4, 10, 194, 556 Sort 2, 0, 9, -21748815 in decreasing order. 9, 2, 0, -21748815 Put -5, 1565442, 0 in increasing order. -5, 0, 1565442 Sort -12946262, 1, -1. -12946262, -1, 1 Put 4, 231/8521, 1, 2/7, -2 in ascending order. -2, 231/8521, 2/7, 1, 4 Put -3/4, -73, 0.3, 3721/5, 4 in descending order. 3721/5, 4, 0.3, -3/4, -73 Sort -2/37, -1463, -0.2, -4, -1/178 in descending order. -1/178, -2/37, -0.2, -4, -1463 Sort -25, -0.2, -1/816459, 0.5. -25, -0.2, -1/816459, 0.5 Sort 5, -5, 0, -2513, 141 in increasing order. -2513, -5, 0, 5, 141 Put -6, -2, 2, -75155 in decreasing order. 2, -2, -6, -75155 Sort 857, 174, -3 in decreasing order. 857, 174, -3 Sort 166, 4, 1, -3, -679, 5, -1/6 in increasing order. -679, -3, -1/6, 1, 4, 5, 166 Put 1, 0.072, 112/2487 in ascending order. 112/2487, 0.072, 1 Sort 8, 2, 3012 in descending order. 3012, 8, 2 Sort -6/119, 22, 2086 in ascending order. -6/119, 22, 2086 Put 69, -2, 0.8, 2/7, -1/5, -1 in descending order. 69, 0.8, 2/7, -1/5, -1, -2 Put 1, 403454, 3, 11 in ascending order. 1, 3, 11, 403454 Put 0.195, -1/6, 12/5669 in descending order. 0.195, 12/5669, -1/6 Put 2265/49, 2, -1/4, 2/9, -2/3, 1 in ascending order. -2/3, -1/4, 2/9, 1, 2, 2265/49 Put -26, 387, 8, -48 in ascending order. -48, -26, 8, 387 Sort -54478, 9, -2, -4 in descending order. 9, -2, -4, -54478 Sort 92211, 9, 4 in increasing order. 4, 9, 92211 Sort 0.5, 48/31, -3, 0.3, 0.14 in decreasing order. 48/31, 0.5, 0.3, 0.14, -3 Put 17, 13, -2004162 in descending order. 17, 13, -2004162 Put -2/149, 1, -117 in decreasing order. 1, -2/149, -117 Put 0.04, 1, -3, 2/7, 74, 2/5 in decreasing order. 74, 1, 2/5, 2/7, 0.04, -3 Put 40, -2532, 33 in decreasing order. 40, 33, -2532 Put 0, 227, 1936 in ascending order. 0, 227, 1936 Put -2, -1, -10, 57, 17, 8, 1 in increasing order. -10, -2, -1, 1, 8, 17, 57 Put 11, 0, 30, -22243 in increasing order. -22243, 0, 11, 30 Sort -7.72363, -3/7, -0.5, 4 in decreasing order. 4, -3/7, -0.5, -7.72363 Put 3/17918, -5, 8, 11 in decreasing order. 11, 8, 3/17918, -5 Put -2, -3, -1, -247844 in increasing order. -247844, -3, -2, -1 Sort -1, -47, 3, 2, 136, -18, 0 in decreasing order. 136, 3, 2, 0, -1, -18, -47 Sort -322, -613, -8 in ascending order. -613, -322, -8 Sort -3, 5, 43203, 12. -3, 5, 12, 43203 Put 1, 3, -2, 27, 15, -182, -5 in ascending order. -182, -5, -2, 1, 3, 15, 27 Sort 1/5, -3, 3, 9, 9/89. -3, 9/89, 1/5, 3, 9 Sort 55617, 3, -5, -4, 18, 5, -3 in decreasing order. 55617, 18, 5, 3, -3, -4, -5 Put 3885, 32, 1, -1 in decreasing order. 3885, 32, 1, -1 Sort -2, -7, -6, 89411. -7, -6, -2, 89411 Sort -14, -2/23881, 0.2, 0.3 in ascending order. -14, -2/23881, 0.2, 0.3 Sort 2962, 4, -0.2, -2/7, -0.1, 6. -2/7, -0.2, -0.1, 4, 6, 2962 Put 5, 12, -20, 68, -3, 3 in decreasing order. 68, 12, 5, 3, -3, -20 Put -2, -3, 3, 6, 1226 in decreasing order. 1226, 6, 3, -2, -3 Put 1, 4, -2064412 in decreasing order. 4, 1, -2064412 Put -5, -324897, -4 in descending order. -4, -5, -324897 Sort 2, -3, -10, 5, 284892 in descending order. 284892, 5, 2, -3, -10 Sort 1, 4, 41, 5610, -4 in descending order. 5610, 41, 4, 1, -4 Sort -4.5, 0.73, -6/49, -0.4 in descending order. 0.73, -6/49, -0.4, -4.5 Sort -3.91127, -60, -15/2 in increasing order. -60, -15/2, -3.91127 Sort -0.014, -5/6, -3, 0.08 in decreasing order. 0.08, -0.014, -5/6, -3 Sort 0, -2.6, -894.049 in ascending order. -894.049, -2.6, 0 Sort -5, -12551, -2251 in descending order. -5, -2251, -12551 Sort 9, -704, 2, -3, -2, 6 in descending order. 9, 6, 2, -2, -3, -704 Sort -4, 0, 5, 21957, -25 in decreasing order. 21957, 5, 0, -4, -25 Sort 3, -22, 0, 4, -5, 119, -16 in increasing order. -22, -16, -5, 0, 3, 4, 119 Sort 4, -109, -18, 1, -7, -12, -3 in descending order. 4, 1, -3, -7, -12, -18, -109 Sort -3, -235/33, -0.3, 28, -5, 17 in increasing order. -235/33, -5, -3, -0.3, 17, 28 Put -6, -3, -15, -1, -22, 4 in decreasing order. 4, -1, -3, -6, -15, -22 Sort -2, -271, 2580, 1/4 in increasing order. -271, -2, 1/4, 2580 Sort -0.3, 1.823, -4, 6/17 in descending order. 1.823, 6/17, -0.3, -4 Sort 3, -4, 1012, -363 in ascending order. -363, -4, 3, 1012 Sort 4, 1/2, -12/19, -2, 7, -294 in decreasing order. 7, 4, 1/2, -12/19, -2, -294 Put 70, -381, -11, 3, 1, -3, -5 in descending order. 70, 3, 1, -3, -5, -11, -381 Put -2, -7291, -4, 127 in ascending order. -7291, -4, -2, 127 Sort -4, 4, 651, 226, 3, 0 in increasing order. -4, 0, 3, 4, 226, 651 Sort -1/65, 5, 18278 in decreasing order. 18278, 5, -1/65 Sort 0.4, 1671857, -2/5 in ascending order. -2/5, 0.4, 1671857 Sort 3, 1659/26, 0.095 in ascending order. 0.095, 3, 1659/26 Sort -4, 4, -5, -920042. -920042, -5, -4, 4 Sort 1, 15, 12, -3, -4, -629. -629, -4, -3, 1, 12, 15 Sort 147, 0, -2, 3, -811, 2 in decreasing order. 147, 3, 2, 0, -2, -811 Put 5, -1, -20, 446, -8 in descending order. 446, 5, -1, -8, -20 Sort -11, -5/46, -10, 2/13, -1 in descending order. 2/13, -5/46, -1, -10, -11 Sort 1/12, -3, 1, 77/9, 2/13, 3 in descending order. 77/9, 3, 1, 2/13, 1/12, -3 Sort -2, 1/94520, -0.11, -1.2 in ascending order. -2, -1.2, -0.11, 1/94520 Sort -2.2, -28, 0.077, 111/5 in descending order. 111/5, 0.077, -2.2, -28 Sort 5, 2, 13, 3, -2, -9047. -9047, -2, 2, 3, 5, 13 Sort -3562, -7, -3, 14, 16 in increasing order. -3562, -7, -3, 14, 16 Sort 3, -0.04, 0.1, -5, -19/4, 2/11. -5, -19/4, -0.04, 0.1, 2/11, 3 Put 1163, 0, -386, -1, -2 in ascending order. -386, -2, -1, 0, 1163 Put -10/17, 0.1769, 8, 0, -0.2 in ascending order. -10/17, -0.2, 0, 0.1769, 8 Put -26, -2, 89, -131, -5, -24 in descending order. 89, -2, -5, -24, -26, -131 Put -3, -1, -48, 4, 5, -2354 in increasing order. -2354, -48, -3, -1, 4, 5 Sort -2878, 162, -3, 2, -4 in ascending order. -2878, -4, -3, 2, 162 Sort 33, 395, 0, 1 in increasing order. 0, 1, 33, 395 Sort -2635, 2, -3, 79. -2635, -3, 2, 79 Sort 4, -4, -360, -1600. -1600, -360, -4, 4 Sort 5, 177/11, 71033. 5, 177/11, 71033 Sort 5, -2.5, 1388895. -2.5, 5, 1388895 Sort -4929, 2, -4, -13, -1. -4929, -13, -4, -1, 2 Put -10, -5, -20, 2, -1, 1, -7 in ascending order. -20, -10, -7, -5, -1, 1, 2 Sort -34, -18, -1, -0.4, 26 in ascending order. -34, -18, -1, -0.4, 26 Sort -39, 2/203, -1/3, -8, 8 in increasing order. -39, -8, -1/3, 2/203, 8 Sort 10, -12, 5, 8, -3, -120. -120, -12, -3, 5, 8, 10 Sort 3, -2, 724777419 in increasing order. -2, 3, 724777419 Put 6/7, 0.136, -16410 in ascending order. -16410, 0.136, 6/7 Put -11/5749, -198, -2/13 in descending order. -11/5749, -2/13, -198 Sort -48.7, -2/5, -5, 2. -48.7, -5, -2/5, 2
Let a(c) = 10*c**5 - 5*c**4 - 6*c**2 - 5. Let l(q) = -5*q**5 + 3*q**4 + 3*q**2 + 3. Let n(v) = 3*a(v) + 5*l(v). Find the third derivative of n(r) wrt r. 300*r**2 Let r be -6*(13/(-3) - -4). Let o(c) be the third derivative of -1/6*c**3 + 0 + 0*c - c**r + 1/24*c**4. Differentiate o(l) with respect to l. 1 Let q(h) be the third derivative of -11*h**6/120 + 5*h**4/24 + 5*h**2. What is the second derivative of q(s) wrt s? -66*s Suppose 5*r = 3*r. Let p(k) be the third derivative of -1/24*k**4 + 0 + 0*k**3 + 1/30*k**5 - k**2 + r*k. Find the second derivative of p(c) wrt c. 4 Let a = -5 - -8. What is the derivative of -4 + 2*i**2 + i**2 + a*i**2 wrt i? 12*i Let q(c) be the first derivative of -7*c**4/4 - c**3 - 10. What is the third derivative of q(t) wrt t? -42 Let r(y) be the third derivative of -y**6/10 - 3*y**3/2 + 16*y**2. What is the first derivative of r(l) wrt l? -36*l**2 Let s(w) be the second derivative of 0*w**5 + 2/21*w**7 + 0 + 0*w**2 - 1/6*w**4 + 3*w + 0*w**3 + 0*w**6. What is the third derivative of s(n) wrt n? 240*n**2 Let p(s) = -s**3 - 4*s**2 - 3*s + 11. Let v be p(-5). What is the second derivative of -v + 6*f**5 - 6*f + 0*f**5 + 51 wrt f? 120*f**3 Let b(p) be the second derivative of 1/6*p**4 + 0*p**2 - 2*p - 1/6*p**3 + 0. Find the second derivative of b(m) wrt m. 4 Let f = 7 - 8. Let b(t) = -1. Let s(a) = 6*a**3 - 6. Let z(w) = f*s(w) + 4*b(w). Find the first derivative of z(i) wrt i. -18*i**2 Let o(v) = -1 - v**2 - v + 0 + 0*v + 2*v. Let k(q) = -3*q**2 - 5*q + 3*q**2 + 8*q**2 + 4. Let u(t) = k(t) + 5*o(t). Find the first derivative of u(a) wrt a. 6*a Let d(q) = q**4 + 4*q + 7. Let n(b) = 2*b**4 + 11*b + 22. Let k(t) = -11*d(t) + 4*n(t). Differentiate k(l) wrt l. -12*l**3 Find the second derivative of -101 + 101 + 2*a - 4*a**4 wrt a. -48*a**2 Let u(x) = 20*x**4 + 5*x**3 - 14*x - 5. Let a(s) = -10*s**4 - 2*s**3 + 7*s + 2. Let w(m) = 5*a(m) + 2*u(m). Find the second derivative of w(j) wrt j. -120*j**2 Let m(u) be the second derivative of 0*u**4 + 2*u - 3/20*u**5 - 1/6*u**3 + 0 + 0*u**2. What is the second derivative of m(s) wrt s? -18*s Let v(x) = -4*x + 1. Let t be v(1). Let a = 3 - t. Differentiate -5*i + 1 + 0 + a*i with respect to i. 1 Let u(l) be the third derivative of -1/60*l**6 + 0 + 1/8*l**4 - 3*l**2 + 0*l**5 + 0*l**3 + 0*l. What is the second derivative of u(k) wrt k? -12*k Let h be 2/((-4)/(-6)) + 1. Let m(v) = -9*v**3 + 6*v. Let z(n) = -n**3 + n. Let d(l) = h*z(l) - m(l). What is the second derivative of d(r) wrt r? 30*r Let j(r) = 24*r**3 - 17*r**2 - 10*r - 17. Let m(u) = -8*u**3 + 6*u**2 + 3*u + 6. Let c(n) = 6*j(n) + 17*m(n). What is the second derivative of c(l) wrt l? 48*l Let o = 19 - 19. Let z(f) be the first derivative of f**2 + o*f + 1/2*f**4 + 2 + 0*f**3. What is the second derivative of z(q) wrt q? 12*q Let x be -1 + (6/2 - 2). Let i(b) = -b**2 + 2*b + 4. Let y be i(2). What is the third derivative of -t**4 - 4*t**2 + x*t**y + 2*t**2 wrt t? -24*t Let o = 3 + 0. What is the third derivative of -2*p**3 - p**o + 0*p**2 + 4*p**3 - 2*p**2 wrt p? 6 Let t(r) = r - 4. Let v be t(7). What is the first derivative of 2*m**4 + 1 + 3*m**4 - v*m**4 + 1 wrt m? 8*m**3 Let i(s) = -20*s**4 - 9. Let x(o) = 19*o**4 + 10. Let q(l) = 6*i(l) + 7*x(l). Differentiate q(t) with respect to t. 52*t**3 Let a(s) be the first derivative of 8*s**3/3 + 3*s**2 + 4. Find the second derivative of a(y) wrt y. 16 Let a(m) be the third derivative of -23*m**7/210 + 19*m**3/6 + 20*m**2. What is the derivative of a(y) wrt y? -92*y**3 Find the third derivative of 54*c**3 + c**4 - 16*c**2 - 54*c**3 wrt c. 24*c Let t be 28/12 + (-6)/(-9). Let v(j) = 3*j - 4. Let d be v(3). What is the derivative of -3 - 4 + d + s**t wrt s? 3*s**2 Let g = 5 - 2. Let t be (g - -1) + (2 - 2). What is the second derivative of 3*s + t*s**5 + 0*s**4 - 5*s**5 + 0*s**4 wrt s? -20*s**3 Suppose 5*b + 2*p - 44 = 0, b - 2*p = -p + 6. Suppose 4*d - b = -0*d. Find the third derivative of -3 + 3*a**5 + 1 - 3*a**d + 2 wrt a. 180*a**2 Let j = 2 + -1. What is the first derivative of m**3 + 2*m**3 + j + 0*m**3 wrt m? 9*m**2 Let q = 20 - 19. Find the second derivative of -4*h**4 - q + 6*h + 1 + 0 wrt h. -48*h**2 Let u be ((-4)/(-6))/((-2)/(-468)). Find the second derivative of -5*s + 156*s**2 - u*s**2 + 4*s**4 wrt s. 48*s**2 What is the first derivative of 10 - 2 - 4*h + h - 5*h wrt h? -8 Differentiate -7 - 23*g**3 + 4 + 22*g**3 - 6 with respect to g. -3*g**2 Let v(s) = -s**2 + 8*s + 5. Let p be v(9). Let l = p + 6. What is the second derivative of 0*i**4 + l - 2 + i**4 + 2*i wrt i? 12*i**2 Differentiate 4*y**4 - 10 - 2*y**4 + 2 wrt y. 8*y**3 Suppose 5 = 4*a - 2*a + n, -n + 7 = 3*a. What is the third derivative of 2*g**6 + g**2 - g**5 - 2*g**a + g**5 wrt g? 240*g**3 What is the derivative of -53*i**3 + 20 - 4954*i**2 + 4954*i**2 wrt i? -159*i**2 Suppose -5*t = -5 - 15. What is the third derivative of t*p**6 - 2*p**6 + 3*p**2 - p**2 wrt p? 240*p**3 Let w(p) be the first derivative of 3/2*p**2 + 0*p**3 + 7 + 0*p + p**4. Find the second derivative of w(r) wrt r. 24*r Suppose 4*g + 2*k = 38, 51 = 5*g + 3*k - 4*k. Let q = g + -7. What is the third derivative of -2*m**3 - 2*m**3 + q*m**3 - m**2 wrt m? -6 Let s(j) be the first derivative of -2 - 2 - 2*j + j**4 + j. Differentiate s(c) with respect to c. 12*c**2 Let w(z) be the third derivative of -z**8/280 - 7*z**5/120 + z**3 + 5*z**2. Let j(h) be the first derivative of w(h). Find the second derivative of j(f) wrt f. -72*f**2 Let m be (-1)/(-2) + (-9)/(-2). Let d = 7 - m. Find the second derivative of 4*i - i**3 + d*i**3 - 6*i wrt i. 6*i Let t(k) = -8*k**4 - k**2 + 27*k - 6. Let h(r) = -r**4 + 1. Let l(v) = -6*h(v) - t(v). What is the second derivative of l(o) wrt o? 168*o**2 + 2 Let g = 3 + 2. Find the first derivative of -g - 6 + 5 + 2*h wrt h. 2 Let v(p) be the first derivative of p**6/3 - p**3/3 - 7. What is the third derivative of v(b) wrt b? 120*b**2 Let h(a) be the second derivative of -4*a**7/21 - a**3 - a. What is the second derivative of h(p) wrt p? -160*p**3 Let f(r) be the third derivative of -r**6/40 - 7*r**4/6 + 14*r**2. What is the second derivative of f(s) wrt s? -18*s Let w(s) be the second derivative of -s**7/6 - 7*s**3/6 + 2*s. What is the second derivative of w(d) wrt d? -140*d**3 Suppose -4*g = l - 15, -2*g + 45 = 4*l - g. Suppose 2*k = -3*j + 4*j - l, 5*k + 29 = 4*j. Differentiate -v + j + 1 + 2*v - 4 with respect to v. 1 Let l(u) be the third derivative of 1/20*u**5 + 0*u**3 + 1/12*u**4 + 0*u + u**2 + 0. Find the second derivative of l(m) wrt m. 6 Let k(d) be the third derivative of d**7/840 - d**6/120 + d**3/3 - d**2. Let r(m) be the first derivative of k(m). What is the third derivative of r(o) wrt o? 6 Let k = 9 + -7. Suppose -2*i + 3 = j, 0*i - k*i = -5*j + 27. Find the second derivative of -5*r + 2*r + 2*r**5 + 3*r**5 - 2*r**j wrt r. 60*r**3 Let p(x) = -x - 2. Let c be p(-4). Differentiate 5 - r + 0*r + 5*r - c*r wrt r. 2 Let y = 2/809 + 769/16180. Let q(b) be the second derivative of -1/2*b**2 - 2*b + 0 + 0*b**4 + y*b**5 + 0*b**3. Differentiate q(i) with respect to i. 3*i**2 Differentiate 59*o - 27*o**4 - 14 - 59*o wrt o. -108*o**3 Suppose 10*z - 17 = 23. Let b(w) be the third derivative of 0*w + 1/6*w**3 + 1/15*w**5 + 0*w**z + 0 + 3*w**2. What is the derivative of b(t) wrt t? 8*t Let p(c) = 10*c**2 - 8*c + 8. Let h(k) = -k. Let a = -19 - -20. Let v(y) = a*p(y) - 8*h(y). What is the first derivative of v(o) wrt o? 20*o Let x(k) be the first derivative of k**7/105 - k**4/24 + k**2 + 4. Let q(n) be the second derivative of x(n). Find the second derivative of q(c) wrt c. 24*c**2 Differentiate 4*h + 5*h + 5 - 18 + 0*h wrt h. 9 What is the third derivative of -14*x**2 - 2*x + 13*x - 11*x - 5*x**6 wrt x? -600*x**3 Let u(i) be the second derivative of 5*i**7/42 + i**4/12 + 10*i. Find the third derivative of u(y) wrt y. 300*y**2 Let d(y) be the third derivative of 0*y**5 + 1/30*y**6 - 3/8*y**4 + 0 + 0*y**3 + 0*y + 3*y**2. Find the second derivative of d(o) wrt o. 24*o Let o(t) = t**4 - 3*t**3 + 9*t. Let y(r) = 4*r**4 - 14*r**3 + 46*r. Let l(k) = 14*o(k) - 3*y(k). Find the second derivative of l(q) wrt q. 24*q**2 Let w(j) = 51*j + 59. Let q(l) = 76*l + 89. Let a(y) = -5*q(y) + 8*w(y). Find the first derivative of a(o) wrt o. 28 Let o(f) = 5*f**2 - f - 5. Let x(q) = 14*q**2 - 3*q - 14. Let t(r) = 11*o(r) - 4*x(r). Let h(w) be the first derivative of t(w). Differentiate h(v) wrt v. -2
Round 432.1234 to the nearest one hundred. 400 Round 5.685698 to the nearest integer. 6 Round -1100930000 to the nearest 1000000. -1101000000 Round 816452.06 to the nearest one hundred thousand. 800000 Round -1231.83811 to one dp. -1231.8 What is 62753 rounded to the nearest 10000? 60000 Round -129300.7 to the nearest 100. -129300 What is 0.000024248797 rounded to 6 decimal places? 0.000024 Round 34856.75 to the nearest one thousand. 35000 Round -90.13906 to the nearest integer. -90 What is -5197300 rounded to the nearest 100000? -5200000 Round -13420070 to the nearest 100000. -13400000 What is 5.969138 rounded to zero dps? 6 Round -0.0005666004 to seven dps. -0.0005666 What is -16.3076 rounded to the nearest 10? -20 What is -22361.59 rounded to the nearest 100? -22400 Round -1419166900 to the nearest 1000000. -1419000000 Round -0.0239898 to two dps. -0.02 What is 5531801.9 rounded to the nearest one million? 6000000 What is 29867300 rounded to the nearest 1000000? 30000000 What is 210731000 rounded to the nearest one million? 211000000 Round -84138.16 to the nearest 10000. -80000 Round -0.02133733 to three decimal places. -0.021 What is -12663.38 rounded to the nearest 10? -12660 What is 5461690 rounded to the nearest 100000? 5500000 Round -5617.24 to the nearest 10. -5620 What is -2518469000 rounded to the nearest 1000000? -2518000000 Round -16731.7 to the nearest one hundred. -16700 Round 0.000680125 to five decimal places. 0.00068 What is -0.000000242146 rounded to seven decimal places? -0.0000002 Round 0.4297955 to one dp. 0.4 What is 0.0000018839721 rounded to 7 dps? 0.0000019 What is -71161.5 rounded to the nearest ten thousand? -70000 Round 0.40908746 to three dps. 0.409 Round 0.00023492212 to six dps. 0.000235 Round -0.0605 to 0 decimal places. 0 Round 0.000008296424 to six dps. 0.000008 Round -0.00000801572 to 6 dps. -0.000008 What is 473732.5 rounded to the nearest 10000? 470000 Round 18645890 to the nearest one million. 19000000 Round 115437000 to the nearest one hundred thousand. 115400000 Round 0.000369366 to four dps. 0.0004 Round 1075.4587 to the nearest ten. 1080 What is 2.422393 rounded to one dp? 2.4 What is 27.53953 rounded to two dps? 27.54 Round -18033714 to the nearest one hundred thousand. -18000000 Round 0.00042236 to 4 decimal places. 0.0004 What is 36345.58 rounded to the nearest ten thousand? 40000 Round 6.314109 to the nearest integer. 6 What is -12703296 rounded to the nearest one hundred thousand? -12700000 Round 0.0275908 to four decimal places. 0.0276 What is 0.00000245018 rounded to six dps? 0.000002 What is -0.000300716 rounded to six dps? -0.000301 What is 0.3919753 rounded to three dps? 0.392 What is -0.0000009060759 rounded to seven dps? -0.0000009 What is 1255274000 rounded to the nearest 1000000? 1255000000 What is 77.23699 rounded to 0 dps? 77 What is -29.623992 rounded to 0 dps? -30 Round -12.46387 to 1 decimal place. -12.5 What is 0.3156075 rounded to three dps? 0.316 What is -213292 rounded to the nearest 1000? -213000 What is -49843.054 rounded to the nearest ten? -49840 Round -33.96798 to the nearest 10. -30 Round -1483492 to the nearest 1000000. -1000000 Round -0.6278868 to 4 decimal places. -0.6279 What is 12666.77 rounded to the nearest 10? 12670 Round -355.213 to the nearest integer. -355 Round -7.44492 to one dp. -7.4 Round 0.126560832 to five decimal places. 0.12656 What is 0.00230939 rounded to 5 dps? 0.00231 Round 0.0000484354 to six dps. 0.000048 Round -1699393.7 to the nearest 10000. -1700000 Round -0.0000005093161 to 7 dps. -0.0000005 Round 0.007683728 to three dps. 0.008 Round 0.1285979 to 2 decimal places. 0.13 What is 0.3413183 rounded to four decimal places? 0.3413 Round -0.000006809204 to six decimal places. -0.000007 What is -78523.2 rounded to the nearest 1000? -79000 What is -0.2057689 rounded to four dps? -0.2058 Round 1208069.7 to the nearest 100000. 1200000 What is -9.988 rounded to 0 decimal places? -10 Round -0.000002118178 to seven decimal places. -0.0000021 Round -285656 to the nearest one hundred thousand. -300000 Round -9.820903 to 2 dps. -9.82 What is -0.000974044 rounded to five dps? -0.00097 What is -0.0012289242 rounded to 5 decimal places? -0.00123 Round 0.1774137 to 4 dps. 0.1774 What is -0.000131677 rounded to six dps? -0.000132 Round -75.883 to 1 dp. -75.9 What is 0.803967 rounded to one dp? 0.8 What is 244942700 rounded to the nearest 100000? 244900000 Round 10.687956 to zero decimal places. 11 What is 76869.295 rounded to the nearest 1000? 77000 Round -123680.2 to the nearest one hundred. -123700 What is 0.014405 rounded to two decimal places? 0.01 What is -0.00758229 rounded to 1 decimal place? 0 Round 0.127477 to 2 dps. 0.13 Round -0.0000012597525 to 7 decimal places. -0.0000013 What is 0.00000427624 rounded to 7 decimal places? 0.0000043 What is -11176080 rounded to the nearest 100000? -11200000 What is -0.051800672 rounded to five decimal places? -0.0518 What is 9082.98 rounded to the nearest one thousand? 9000 What is -0.009487527 rounded to 5 dps? -0.00949 Round 0.00002279633 to 7 decimal places. 0.0000228 What is -2799.569 rounded to the nearest one hundred? -2800 What is 441477 rounded to the nearest 1000? 441000 What is 0.0000221747 rounded to 5 dps? 0.00002 What is -0.0355991 rounded to three dps? -0.036 What is -163412.6 rounded to the nearest 1000? -163000 Round -0.02449184 to 3 dps. -0.024 Round 0.000049481 to six decimal places. 0.000049 What is 0.6585052 rounded to 3 dps? 0.659 Round -21.503691 to the nearest integer. -22 Round -0.0014833289 to 5 decimal places. -0.00148 Round -28028.801 to the nearest 100. -28000 Round 0.701559 to the nearest integer. 1 Round -19298940 to the nearest one million. -19000000 What is 3.337107 rounded to two dps? 3.34 Round 872371 to the nearest one hundred thousand. 900000 What is -2805641.1 rounded to the nearest 10000? -2810000 Round -0.000095005 to six decimal places. -0.000095 What is -2430.1981 rounded to the nearest 10? -2430 Round 82677.1 to the nearest 10000. 80000 Round 1354737.2 to the nearest ten thousand. 1350000 What is 0.03615505 rounded to 2 dps? 0.04 What is -0.13137146 rounded to 2 dps? -0.13 Round -0.0321375 to four decimal places. -0.0321 What is -162287.01 rounded to the nearest one hundred? -162300 What is 383662.2 rounded to the nearest 1000? 384000 What is 972509 rounded to the nearest 100000? 1000000 What is -0.00022307173 rounded to 6 decimal places? -0.000223 What is -2820961 rounded to the nearest 1000? -2821000 Round 455911500 to the nearest one hundred thousand. 455900000 What is 3826874000 rounded to the nearest one million? 3827000000 What is 0.000482186 rounded to 6 dps? 0.000482 What is -4957692 rounded to the nearest 1000? -4958000 Round 71651 to the nearest one hundred thousand. 100000 What is 0.000082949 rounded to five decimal places? 0.00008 Round 29563880 to the nearest one million. 30000000 What is 2701670.5 rounded to the nearest ten thousand? 2700000 Round 20710179 to the nearest ten thousand. 20710000 What is -16915.159 rounded to the nearest 100? -16900 Round -147.1916 to the nearest ten. -150 Round 3341240 to the nearest ten thousand. 3340000 Round 0.7064748 to three decimal places. 0.706 What is 472230 rounded to the nearest 1000? 472000 What is -16.28875 rounded to 1 decimal place? -16.3 What is 0.000015531468 rounded to 7 decimal places? 0.0000155 What is 0.028203631 rounded to three dps? 0.028 What is -0.06879756 rounded to 3 decimal places? -0.069 Round -0.000001567041 to seven dps. -0.0000016 Round 102330.8 to the nearest 1000. 102000 Round 0.0000001569537 to 7 decimal places. 0.0000002 What is 0.000556017 rounded to five decimal places? 0.00056 Round 10.09979 to zero dps. 10 Round 13976.7 to the nearest 100. 14000 Round 0.1267547 to three dps. 0.127 Round 146459 to the nearest ten thousand. 150000 What is -0.0000060231 rounded to seven dps? -0.000006 What is -1.712518 rounded to 3 decimal places? -1.713 What is 1697.882 rounded to the nearest 10? 1700 What is -11995.73 rounded to the nearest ten? -12000 What is 1678.6738 rounded to the nearest one hundred? 1700 Round -222.7271 to the nearest integer. -223 What is 754.14024 rounded to the nearest one hundred? 800 Round 2101820 to the nearest 10000. 2100000 What is 481.7275 rounded to the nearest 100? 500 Round 166746.5 to the nearest one hundred. 166700 What is 98782 rounded to the nearest 1000? 99000 What is -0.2430935 rounded to three dps? -0.243 Round -111539.3 to the nearest 1000. -112000 What is 8.30471 rounded to the nearest integer? 8 What is -100.5755 rounded to the nearest 10? -100
Expand 2*i**3 + 5*i - i**3 - 4*i + (5*i + 3 - 11*i + 5*i)*(-16*i - 4*i**2 + 16*i). 5*i**3 - 12*i**2 + i Expand (-10*x + 2*x - 3*x)*((-1 + 0 + 0)*(x + 3*x - 2*x) + x + 2*x + 0*x) - 2*x**2 - 4*x**2 + 4*x**2 + 3 - 3 - x**2 + (4*x**2 - 3*x**2 + x**2)*(-4 + 7 - 1). -10*x**2 Expand (-3 + 3 + 2*d)*(-d + d - d)*(12*d**2 - 60 + 60). -24*d**4 Expand 3 - 3 - y + 4*y - y - 2*y + (0*y - y - y)*(4 - 3 + 1) - 2*y + 2 - 2 + (-y - y + 3*y)*(-4 - 2 + 5). -7*y Expand (2 + 5*v**2 - 2*v**2 - 3)*(3*v - 2*v + v + (2 - 5 + 1)*(3*v - 2*v - 2*v)). 12*v**3 - 4*v Expand (-2*b**2 + 4 - 4)*(-26 + 26 - 6*b**3). 12*b**5 Expand 7 - 5*i**2 - i - 2 - 4 - 3 + i**2 + 3 + (-2 + 2 + i)*(-5*i + 3*i + i) - 2*i**2 + 6*i**2 - 2*i**2. -3*i**2 - i + 1 Expand (-3 + 7 + 0)*(0 + 2 + 0)*(-s + s - 2*s). -16*s Expand (z - z + 3*z**2)*(-4 - 1 + 36*z - 34*z). 6*z**3 - 15*z**2 Expand -4 + 4 + y**2 + (y + 6*y + y)*(y + 1 - 1 + (-4 - 2 + 4)*(2 + y - 2)). -7*y**2 Expand (-3*q**3 + 2*q**3 + 0*q**3)*(q + 2*q**2 - q + (2 - 4 + 4)*(-3*q**2 - 4*q**2 + 5*q**2) + 0 + 0 - 2*q**2 + (3*q - q - 7*q)*(-q - 2*q + 2*q)). -q**5 Expand (-a + 14*a + 0*a)*(-2 - 1 + 1) - a + 3*a - a + (3*a - 4*a + 3*a)*(-2 + 1 + 0). -27*a Expand 3*q**4 - q**4 + 6*q**4 + (-2*q + 2*q + 2*q**3)*(q + 2*q - 2*q). 10*q**4 Expand 2*j - 2*j + 2*j**4 - j**4 + 6*j - 6*j + (j - 2*j - 3*j)*(-2*j**3 + 2*j - 2*j). 9*j**4 Expand 16*u**3 - 16*u**3 + 6*u**5 + 6*u + 4*u**5 - 6*u + (3*u**3 - 6*u**3 + 2*u**3)*(0*u - u**2 + 0*u) - u**5 + 4*u**5 + u**5. 15*u**5 Expand -12*s**2 + 2*s**2 - 2*s**2 + 0*s**2 - 2*s**2 - s**2 + (0*s**2 - 3*s**2 + 2*s**2)*(-1 + 1 - 2). -13*s**2 Expand (-o + 3*o - o + (-3*o - o + 0*o)*(0 + 0 - 2) - 3*o - o + 2*o + (-1 + 3 + 0)*(-2*o - 3*o + 3*o))*(-5*o**3 + 2*o**3 + 5*o**3). 6*o**4 Expand (3 - 1 - 4)*(10 + 2*u - 7 + 5). -4*u - 16 Expand (-4*h + h + 30*h)*(3 - 2*h**2 - 3) - 2*h**3 + 2 - 2 + (0*h + 3*h - 5*h)*(-2 + 2 - 2*h**2). -52*h**3 Expand (-2 - 2 + 2)*(362 - 362 + 149*b). -298*b Expand 3*q**3 + q**3 - 3*q**3 + (2*q - q + 2*q)*(-q**2 + 6*q**2 - 2*q**2). 10*q**3 Expand (0*u + 0*u - 2*u)*(5 - 4 + 0) + 0*u - u + 0*u + u + 3*u - 6*u + u - u - u + (1 - 1 + 3)*(-u + u - 2*u) - u - u + 4*u. -10*u Expand (9 - 9 + 4*n)*(1 - 8*n - 2 + 13*n). 20*n**2 - 4*n Expand (v + 3*v - 5*v)*(0*v - 2*v - 4*v + (0 + v + 0)*(3 + 3 - 4) - 2*v + 3*v + 0*v). 3*v**2 Expand 3*s**3 - 2*s**4 - 3*s**3 + (7 - 7 - 11*s)*(s**3 - 4*s**3 + 7*s**3). -46*s**4 Expand (0*l + l + 0*l)*(0 + 0 + 3*l) + 0*l**2 + 0*l**2 - 3*l**2 + (0*l + 0*l + 2*l)*(2*l + l - 5*l). -4*l**2 Expand -4*i + 2*i + 3*i - i + i + i - 2 - i + 2 + 3*i + 2*i - 4*i + (4*i - 4*i - 2*i)*(1 - 1 + 2) + 0 + i + 0 - i + 2*i - 3*i - 6*i - 8 + 8. -9*i Expand 2*m**5 + m**2 - m**2 + 2*m**5 + m**5 - 2*m**5 + (-4*m**4 + 4*m**4 + 2*m**4)*(-m + 0*m + 3*m) + (-4*m**5 + 4*m**5 - 2*m**5)*(3 + 1 - 3). 5*m**5 Expand k**2 - 4*k + 4*k + (2*k + 0*k - 4*k)*(2*k - 1 + 1) - 1 + 2*k**2 + 1. -k**2 Expand ((-3 + 7 - 3)*(-3 + 2*x + 3) + x + 2*x - 2*x)*(-2*x**3 - x**3 + x**3)*(0 - 3 + 1). 12*x**4 Expand 2*k**3 - 2*k**3 + 2*k**4 - 4*k**3 - 2*k**4 + 4*k**3 - 2*k**4 + 3*k**3 - 3*k**3 + (2*k**2 + k - k)*(-k**2 - 1 + 1) - k**4 - 2 + 2 - 5*k**4 - 2*k + 2*k. -10*k**4 Expand (3 - 2 + 5*t - 3*t)*(-10 + 6 + 6)*(-3*t + t + 3*t). 4*t**2 + 2*t Expand (56 + 36 - 9)*(1 - 2 - 1 - 2*c). -166*c - 166 Expand -q**3 + q**5 + q**3 + (-4*q + 0*q + 2*q)*(-6*q**4 + 4*q**4 + 0*q**4) - q**5 + 0*q**5 + 3*q**5 - 2*q**5 + 1 - 1 + 4*q**5 - 5*q**5 + 5*q**5. 9*q**5 Expand 2 - 2 + b + (5 - 4 + 0)*(b - 22 + 22). 2*b Expand (-2 - 2 + 2)*(-t + t + t**5) - t + t**5 + t + (-3 + 5 - 5)*(4 + 2*t**3 - 4 - 3*t**5). 8*t**5 - 6*t**3 Expand (-32*f + 24 - 24)*(f - 3 + 3). -32*f**2 Expand (0*f**3 + f**3 + 0*f**3)*((2 + 2*f - 2)*(-3*f - f + 3*f) - 2*f**2 - 2 + 2 + 29*f - 29*f + 25*f**2). 21*f**5 Expand -48 + 48 + 7*s - s + 0*s + 2*s + (-4 + 0 + 2)*(-4 + 4 - 2*s). 12*s Expand (h**2 - h**2 + h**2)*(-3*h + h**2 + 3*h) + (h**4 + 2*h**3 - 2*h**3)*(-2 - 2 + 5). 2*h**4 Expand (2*n + 5*n - 3*n)*(2*n**2 - 3*n**2 + 0*n**2). -4*n**3 Expand ((1 - 3 + 1)*(-1 - 2 + 0) - 2 + 2 + 3)*(2*p + 2*p - 5*p)*(-3*p**4 + 4*p**4 - 2*p**4). 6*p**5 Expand (c + 2*c - 2*c)*(-c**3 + 0*c**3 + 2*c**3)*(2*c - 5*c + 2*c). -c**5 Expand (0 + 5 - 1)*(2*s**3 + 18 - 18)*(-s**2 + 1 - 1). -8*s**5 Expand (-1 - 8 + 5)*(-3*u - 2*u**2 + 3*u). 8*u**2 Expand -k**2 + 3*k**2 - 4*k**2 + (k**2 - 2*k**2 + 0*k - 2*k)*(-3 + 3 + 2) - k**2 - 3*k**2 + 3*k**2. -5*k**2 - 4*k Expand (0 + 0 - 3*g)*(g - 5*g + 2*g) - 2*g - g**2 + 2*g + (1 - 1 + g)*(-g - 1 + 1). 4*g**2 Expand (3 + 0 + 0)*(2 + 2 - 7)*(-o + 2*o + 0*o). -9*o Expand ((-4 + 5 + 0)*(4*b**4 + b**4 - 3*b**4) - b**4 + 5*b**4 - 3*b**4 - 5)*(5 - 2 - 2). 3*b**4 - 5 Expand (-f + f + f)*(-2*f**2 + 4*f - 4*f + f**2 + f**2 - 3*f**2 + (f + 3*f - 6*f)*(0*f + 0*f + f) + 1 - 1 + 2*f**2). -3*f**3 Expand (-2*l**3 + 3*l**3 - 3*l**3 - 2*l**3 - 3 + 3 + (2*l**2 - 2*l**2 - 2*l**2)*(3*l + 2*l - 2*l) + 2*l**2 + 0*l**3 - 4*l**2 - l**3)*(-3*l + 6*l - 2*l). -11*l**4 - 2*l**3 Expand (-3 + 2*z**4 + 3)*(161 - 160 + 117). 236*z**4 Expand (-q + 3*q - q + (3 + 0 - 2)*(-15*q - 7*q + 4*q))*(q**3 - q**4 - q**3). 17*q**5 Expand (-4 - 1 + 4)*(-5*f - 9*f + 9*f). 5*f Expand -24*m**3 + m**3 + 32*m**5 - 33*m**5 + (m**4 - m**4 - 2*m**4)*(-m - 5*m + m). 9*m**5 - 23*m**3 Expand (4 + 0 - 3)*(-2*s**3 + 4*s**3 - s**3) + (55*s - 55*s + 17*s**2)*(3*s - 5*s + 3*s). 18*s**3 Expand (6*c**3 - c**3 - 3*c**3)*(c**2 + c**2 - c**2) + (-c - c + 3*c)*(6*c + 0*c - 2*c + 2*c**4). 4*c**5 + 4*c**2 Expand (-2*s - 2*s + 6*s)*(-4*s**4 + 5*s**4 + s**4) + 2*s**5 - 4*s**5 + s**5 + (-s**4 - 6*s**3 + 6*s**3)*(-5*s + 22 - 22). 8*s**5 Expand (-1 + 4*x - x - 2*x)*(-1601 + 110*x + 1601). 110*x**2 - 110*x Expand (-4 + 3 + 5)*(-2 - 1 + 4)*(-2*q - 52 + 52) + 0*q + 0*q - 2*q. -10*q Expand x**2 + x**2 + 0*x**2 + (2*x**2 + 0*x**2 - 4*x**2)*(-14 + 63 + 2). -100*x**2 Expand (-v + v + v)*(0 - 4 + 1) - v + 5 - 5 + (2 - 2 + 2*v)*(7 - 2 + 3). 12*v Expand (-d + d - d)*(-d**4 - d**3 + d**3) - 2*d**5 + 0*d**5 + 4*d**5 + (-43 + 13*d**2 + 43)*(0*d**3 + 2*d**3 - d**3). 16*d**5 Expand (t**2 + 2 - 2*t**2 - 1)*(3 - 3 - 1). t**2 - 1 Expand -3*z**2 + 4 - 4 + 4*z**2 - 4*z**2 + 2*z**2 + (0*z - z + 2*z)*(-5*z + z + 2*z) - z**2 + 4*z - 4*z - 2 + 2*z**2 - 7*z + 7*z. -2*z**2 - 2 Expand (-4*b**2 - 1 + 1)*(2 - 1 + 1)*(-1 + 1 - b**3). 8*b**5 Expand (-2*v**3 + 2*v + 8 + 1435*v**2 - 1435*v**2)*(1 - 1 + 2*v**2 + 0*v**2 - 2*v**2 + 4*v**2 + (0*v + 4*v - 2*v)*(0*v + 2*v + 0*v) - v**2 + 2 - 2). -14*v**5 + 14*v**3 + 56*v**2 Expand (0 + 1 - 4)*(-1 - 5*z + z + 8*z). -12*z + 3 Expand (-31*v**2 + 31*v**2 + 2*v**4)*(5 - 5 - 2*v). -4*v**5 Expand (-6 + 3 - 1)*(2*i + 3*i + 4*i). -36*i Expand (-2 + 1 - 1)*(1 - 2*f - 1) - f - 2*f + f - 4*f - f + 3 - 2. -3*f + 1 Expand -45*w**3 + 26*w**3 + 22*w**3 - 2*w**3 + 0*w**3 - 3*w**3 + (-2*w**2 + 3*w - 3*w)*(w + w - w). -4*w**3 Expand (0 + 4 - 23)*(18 - 18 + j). -19*j Expand -20 - 3*y**2 + 23 + 3*y**3 + 0*y**2 + (0 - 5 + 4)*(4 - 4 - 2*y**3). 5*y**3 - 3*y**2 + 3 Expand (0 + 0 - 2)*(-4*w + 2*w + w)*(56*w**2 + 5*w**2 - 2*w**2). 118*w**3 Expand (6*i**2 - i**2 + 7*i**2)*(-3*i**2 + 1 - 1). -36*i**4 Expand -o**4 + 3*o**4 - o**4 + o**4 + 0*o**4 - 2*o**4 + (-2 + 2 + 1)*(-5*o**4 + 4*o**4 - o**4) + 0*o**4 - o**4 + 0*o**4 - 2 + o**4 + o**3 - 2*o**3 + 2*o**3. -2*o**4 + o**3 - 2 Expand (-1 + 0 + 0)*(6*n - 3*n - n)*(0 + 0 + 2*n**2). -4*n**3 Expand -2*i**3 + 2*i**3 + 2*i**5 + 3*i**5 - i**5 - i**5 + (2*i**2 + 0*i**2 + 0*i**2)*(2 - 2 + i**3) + 3*i - 3*i + i**5 + 2*i**5 + 3*i**2 - 3*i**2. 8*i**5 Expand (-4*l**3 + 3*l**3 + 0*l**3)*(-l + 3*l - 4*l) + (l**2 - l + l)*(11*l**2 + 5 - 5). 13*l**4 Expand ((-2 + 2 - 2*k)*(0*k**3 + 5*k**3 - 4*k**3) - 72*k + 7*k**4 + 75*k + 4*k**4)*(0*k + k - 3*k + (-1 + 3 - 3)*(2*k - 2*k + k) + 3*k + 0*k - 2*k). -18*k**5 - 6*k**2 Expand (80 - 80 - 5*k)*(-3*k**2 + 3*k**2 + k**4)*(3 - 5 + 3). -5*k**5 Expand (19*h**2 + 3*h**2 + 9*h**2)*(1 + 2 - 2)*(-1 + 2 - 3)*(2 - 2 + 2*h). -124*h**3 Expand (h + 0 + 0)*(-3 - 4 + 5) + 5*h - 45 + 45. 3*h Expand (0 + 2*s + 0)*(206 - 206 + 13*s)*(-3 - 3 + 7). 26*s**2 Expand (-1 + 1 - 2*x)*(1 + 1 + 0) - 2*x - 2*x + 3*x + x + x - x - x - x - 2 + 1. -6*x - 1 Expand (0*r + r + 2*r)*(0 + 0 - 2)*(4*r**4 - 2*r**4 - 3*r**4). 6*r**5 Expand 3 - 5 - 3*r**2 + r**2 + r**2 + 9*r**2 - 3*r**2 + (-1 + r + 1)*(-r - r + 0*r) - 2*r**2 + r**2 + 2*r**2. 4*r**2 - 2 Expand (11 - 11 + 14*f)*(-f**4 - f + 0*f**4 - f + (2*f + 2 - 2)*(f**2 + f**3 - f**2) + 0 + 0 + 2*f**4). 42*f**5 - 28*f**2 Expand (c**3 + 3*c**2 - 3*c**3 + 0*c**3)*(-4*c**2 - 4*c**2 + 6*c**2). 4*c**5 - 6*c**4
Let p = -0.026 - -4.426. Let i = p + -0.4. Let g = 2 - i. Which is smaller: g or 0? g Let r be (-7)/9 + 1 + 2504/72. Are r and 37 non-equal? True Let t = 1.2 - 0.2. Let r = -18 + 15. Let y be 1*(0 + 2 + r). Which is smaller: y or t? y Let h(k) = -k**2 - k - 7. Suppose 4*l = -2*g - 9 + 25, -4 = -l. Let b be h(g). Which is bigger: -0.1 or b? -0.1 Let n = -124/915 - -2/915. Is 0 less than n? False Let h = -3 + 1. Let p = -16.7 + 16. Let v = -0.8 - p. Which is greater: h or v? v Suppose -4*u = 4*r + 12, 0*u - 4*u + 4*r = 36. Let q be u/70 - (-4)/(-20). Are q and 4 equal? False Suppose 4*u = -3*b + 1134, 4*u - 3*u - 2*b = 278. Let x = -3668/13 + u. Which is smaller: x or -1? -1 Suppose 6 = 4*w - w. Is w > 5/3? True Let x be (-3 + 2)*(-3 - -3). Let o be (-21)/14*1/30. Which is greater: x or o? x Let o(j) = -3*j + 2. Let q be o(3). Let b = 20 + -30. Let v = b - q. Is -5/3 < v? False Let n = -11 + 9. Let s be (1 + -1)/(-2) + 3. Suppose 0 = -s*m + 4*m. Which is bigger: m or n? m Let z be (2 - 12/3)*4/(-60). Is 0 smaller than z? True Let r(t) = 9*t. Let d be r(-1). Let q be ((-8)/6)/(30/d). Which is smaller: q or 1? q Suppose 18 = 3*k - s, -4*k = 4*s + 1 - 41. Suppose 9 + k = -4*a. Let h be -1*6*(-2)/a. Which is smaller: -4 or h? -4 Suppose 0 = 2*z - 79 + 89. Suppose -4*x - 14 = 4*g - g, 0 = -2*g + 2*x - 14. Which is greater: g or z? z Let p = -13.9 - -13. Let i = p + 1. Let o be 16/(-42) - (-4)/(-14). Which is greater: i or o? i Suppose -2*t + 4 = 2. Let v = -45 - -227/5. Let q = v + -3/20. Which is greater: q or t? t Let r = 12 + -7. Suppose 12 = 5*i - 13. Is i greater than or equal to r? True Let g(t) = t**3 + 5*t**2 - 6*t + 3. Let k be g(-6). Let x be (8/21)/4*k. Which is smaller: 1/2 or x? x Let i = -11 - -1. Let w = -9 - i. Which is bigger: w or 3/5? w Let w be ((-1)/(-2))/(4/(-144)). Are -17 and w equal? False Let c be 2*7/4*-1. Let y be 0 - -3 - 69/10. Let g = y - c. Is -3 at least g? False Suppose 3*k + 3*t = -8 - 4, 24 = -5*k - 3*t. Does 1/2 = k? False Let b(h) = -h - 6. Let u be b(-5). Let z be u/4 - 2/(-4). Let s = 4.1 - 1.1. Is s equal to z? False Suppose 7*d - 6 = 4*d. Let x be (-3)/6*(d + -2). Is 1/4 greater than or equal to x? True Let p(h) = -2*h - 15. Let m be p(-5). Is -5 at most m? True Let w = -28 - -29.08. Let b = 0.08 - w. Let h = 3 + b. Which is smaller: 1 or h? 1 Suppose -4*c = -0*c - r - 21, -3*r = 2*c - 21. Let u = 12 + -5. Is u < c? False Let s = 0.4 + -1.5. Let l = 0.1 + s. Which is greater: l or -8? l Let b = 14.4 + -14. Let o = -0.7 + b. Which is bigger: 1/6 or o? 1/6 Suppose 0 = b - 1 - 0. Let y be 4/(-1)*b/2. Let m = y - -2. Is m greater than -1? True Suppose 0 = -f - 0 + 2. Let g be 1*((-3)/3 + f). Which is smaller: g or 0? 0 Let p(y) = 3*y**2 + 3*y + 11. Let z(x) = -5*x**2 - 4*x - 17. Let r(w) = 8*p(w) + 5*z(w). Let f be r(3). Let q be (-72)/(-130) + f/(-15). Is q > 1? False Let w(m) = -m + 4. Let s be w(4). Let b be (0 - s)/(-1 - 1). Are -0.3 and b equal? False Suppose 68 = 2*t - 4*y + 26, 0 = 5*y + 20. Which is bigger: t or 14? 14 Let k be (-2)/5 - 178/5. Let n = 50 + k. Let i be 7/(-6)*(-2)/n. Is i at most as big as 0? False Let i(f) = f**2 + 5*f + 2. Let n be i(-5). Suppose -n*y - 9 = -3*c, 2*c = 2*y - 2*c + 14. Are y and 6 non-equal? True Let n = 105 + -528/5. Which is smaller: -0.4 or n? n Let l = 6.4 + -6.5. Which is greater: -0.41 or l? l Suppose 3*g + g = 0. Suppose -4*l + 2 = 5*d, d - 5*l - 7 - 5 = g. Let a = -386/5 + 78. Which is bigger: d or a? d Let r = 0.54 - 0.6. Let v = r - -0.06. Let n = -0.3 - 0.7. Which is greater: v or n? v Let q = 8 - 6. Let l be -1 - -1 - (q - 1). Suppose 2*u = -u - 2*i + 1, -2*i = 4*u. Is u < l? False Let s be 1/((-4 + 2)/4). Let o = 2 + s. Which is smaller: o or 2/5? o Suppose -4*u = -2*y - 2, 0 = 4*u - 0*u + 2*y - 22. Let t = 25 + -22. Is u at least t? True Let u(r) = -r**2 - 3*r - 3. Let y be u(-2). Let b = 1 + 0. Let d be (-2*b)/(-8)*-3. Which is bigger: d or y? d Let v be (1/2)/((-6)/132). Let m(t) = -t**3 + 8*t**2 - 9*t + 4. Let u be m(7). Which is bigger: v or u? u Let x = 882 - 11444/13. Is 2 > x? True Suppose -2*p + 20 = -4*b, -5*p - 4*b = -4 - 4. Suppose -z - p*z = 0. Let w be 0/((2 - 2) + -2). Does w = z? True Suppose 0*u = 4*u - 12. Suppose 0*p - 4*p - 13 = 5*r, 2*p = r - u. Which is smaller: -1/2 or p? p Let s(f) = 9*f**3 - f**2 + 13*f - 1. Let o(q) = 4*q**3 - q**2 + 6*q - 1. Let l(c) = 7*o(c) - 3*s(c). Let p be l(3). Which is bigger: -2 or p? -2 Let m = 1/1383 - 1412054/15213. Let j = m - -93. Is 0 less than j? True Suppose 0 = 4*u - 4 - 12. Which is bigger: u or 1? u Suppose 0*b = 5*b - 5. Is 0 equal to b? False Let f = 1/297 + -635/12177. Is f greater than -2/5? True Let r(a) = -a**3 + 4*a**2 + 9*a + 18. Let o be r(6). Which is smaller: -22/17 or o? -22/17 Let x = 8.4 + -8.3. Does -2/5 = x? False Let o = 4 - 1. Suppose -o*w = w + 12. Do -4 and w have the same value? False Let j = -12 - -17. Suppose -j*c - 4 = -14. Is 3 greater than c? True Suppose -2*l = 4, 0 = 4*h + 2*l + 3*l + 10. Which is smaller: 2/3 or h? h Let l = 12 + -7. Let q(x) = x - 5. Let o be q(l). Which is bigger: o or 2/9? 2/9 Let u be (-3)/12 + (-27)/(-12). Let d be (u + -3)/4*6. Let g be -5 + (-1)/((-2)/4). Is d smaller than g? False Let v be (2/(-4))/(11/22). Is -1/2 at least as big as v? True Let k(r) = 4*r - 6*r + r**3 + 5 + 2*r**3 + 7*r**2. Let h(i) = -4*i**3 - 10*i**2 + 3*i - 8. Let u(z) = -5*h(z) - 7*k(z). Let c be u(0). Does c = 0.1? False Let p be (-20)/(1*(-2)/(-2)). Does -19 = p? False Let c be 156/(-56) + (1 - 6/(-3)). Which is greater: -1 or c? c Let h = -31 + 30. Let g = -622/13335 + -4/381. Do g and h have the same value? False Suppose -68 = -2*b - 2*b. Let a = b + -15. Is 1/2 less than a? True Let n = 29598425/187 - 158281. Let g = 8/17 + n. Which is smaller: 0 or g? g Let o = 457/7 - 65. Suppose -3*q = -8*q - 5. Which is smaller: o or q? q Suppose -5*p + 20 = 3*b, 0 = -3*b + 2*b - p + 6. Suppose 2*w - 3*w = b*r - 10, 2*r + 4*w = 22. Let k be ((-1)/2)/((-3)/6). Is k at least as big as r? True Let t(k) = 13*k - 62. Let p be t(5). Do 3 and p have the same value? True Let d(x) = -3*x + 1. Let b be d(2). Is b <= -5? True Let j be (-253)/(-4) + (-2 - -2). Let x = j + -63. Suppose 0 = -2*n - 3*w - w, 3*n = -5*w + 2. Which is smaller: x or n? x Suppose -5*z = -6 + 11. Which is smaller: -2 or z? -2 Let b = 99 + -98.99. Which is smaller: b or -2? -2 Let p be 1/(-10) - (1 - 24/15). Which is smaller: p or -86? -86 Let r(h) = -h**2 + 9*h - 11. Let v be r(9). Which is bigger: v or -10? -10 Let f = -3 + 7. Let k be (f/18)/(8/6). Is -1 < k? True Let j be (-2)/4*(-3)/(-6)*0. Which is smaller: -7/5 or j? -7/5 Let o = -15 + -13. Is -28 at least o? True Suppose 2*a = -5*k + 19, -a + 5*k - 10 = k. Let v be 10/(-15) - (-11)/3. Suppose 0 = 5*n - w - 9 - 4, 9 = n + v*w. Is n greater than or equal to a? True Let u(k) = k**2 - 18*k - 19. Let z be u(19). Is z greater than -5/7? True Let j = -0.69 - -0.79. Which is greater: 2.9 or j? 2.9 Let u = 49.3 - 49. Let i be 2/(-3) - (-2)/(-6). Which is greater: u or i? u Suppose 4 = -3*t + 16. Let s be 3/(-6 - -3) - -1. Suppose t*a = -s*a + 8. Is 1 < a? True Let i(c) = -c**3 + 3*c**2 + 6*c - 3. Let k be i(4). Do 1/4 and k have different values? True Let n be 46/6*6/88. Let m = -3/11 + n. Does m = -0.3? False Let l be 85/(-500) - (1 - 10/8). Is 0 at least l? False Let j(h) = -h**2 - 6*h - 8. Let i be j(-4). Is i not equal to -0.012? True Let h = -61/2 + 31. Is h < -22? False Let m be ((-4)/10)/(2/(-30)). Let o = m - 6. Is -4/9 less than o? True Let j(c) = -2*c**2 + 7*c - 7. Let w(o) = -3*o**2 + 8*o - 8. Let a(f) = 5*j(f) - 4*w(f). Let i be a(-3). Suppose i*m - m = 0. Is m greater than -1? True Suppose 4 + 8 = x. Which is greater: x or 11? x Let v = 41 + -35. Is v bigger than 0? True Let u(f) = -f**3 + 4*f**2 + 7*f - 1. Let r be u(6). Are r and -31 non-equal? False Let c be ((-40)/4)/(-5) - 6. Which is smaller: -3 or c? c Let q = -578258/9 + 408830182/6363. Let m be (-295)/(-1212) + (-1)/4. Let f = m - q. Is 0.1 at least as big as f? True Let w = 125869/1240 - -23/248. Let b = w + -101. Let m(q) = q**2 + 7*q + 8. Let t be m(-6). Which is greater: b or t? t Suppose -3*k + u + 2 = -6*k, 5*u = -3*k + 2. Is -2/21 at least as big as k? True Suppose 2*q + 27 = 5*v, 4*v - 2*q - 14 = 8. Suppose 5 = -r - 3*n, 0*r - 2*n - 9 = -v*r. Let x be ((-4)/(-35))/(12/(-30)). Which is bigger: x or r? r Let p be (3/(-8))/((-6)/12). Is p < 0.9? True Let x be 1 - (1 + 1 + -2). Let k be 3 + -4 + 1 - x. Which is smaller: k or 1/3? k
Suppose 11 = 2*a + 3*g, -g - 13 = 8*a - 9*a. What is the highest common factor of a and 14? 2 Let q(j) = 5*j**3 - j**2 - 49*j + 15. Let u be q(5). Calculate the greatest common factor of 10 and u. 10 Let x(j) = -j**3 - 21*j**2 + 20*j + 18. Let d be x(-22). Let z(b) = -b**2 - 26*b - 10. Let q be z(-11). Calculate the greatest common factor of q and d. 31 Suppose -3*g + 4*c + 32 = 0, 0*g = -g + c + 10. Calculate the highest common divisor of 28 and g. 4 Suppose -56 = 3*x + 2*f, 0*f + 36 = -2*x - f. Let q be (3/2)/((-2)/x). Let i = 114 - 18. What is the highest common factor of i and q? 12 Let m(l) = -l**2 + 26*l - 47. Let n be m(12). What is the highest common divisor of n and 11? 11 Let r be 2*10*(-5)/20. Let i be (-366)/(4/(-2)) - (4 + r). Calculate the greatest common divisor of 23 and i. 23 Let c = -464 + 486. Calculate the highest common divisor of 187 and c. 11 Let l = 515 - 375. What is the highest common divisor of l and 40? 20 Suppose 15*p - 14*p + 2 = 0, -5*a + 4964 = -2*p. Calculate the highest common factor of a and 31. 31 Suppose -8*z + 13284 = 28*z. Calculate the highest common factor of z and 82. 41 Let s be ((-1)/13)/((-86)/1118). Calculate the greatest common factor of 29 and s. 1 Suppose 3*s + 0*v = 5*v + 810, 3*v + 540 = 2*s. Let f = -8 + 2. Let w be (s/(-20))/(f/8). Calculate the highest common factor of w and 18. 18 Let s(t) = -t**3 + 7*t**2 - 77*t + 355. Let r be s(5). Let v = -150 + 330. What is the highest common divisor of v and r? 20 Let f be ((-20)/6)/((-6)/27). Suppose -1800 = 59*c - 83*c. Calculate the greatest common divisor of c and f. 15 Let t(a) = 3*a**3 - 21*a**2 + 9*a + 17. Let p be t(7). What is the greatest common factor of 180 and p? 20 Suppose 33 = 2*m - a - 25, -m = -a - 28. What is the greatest common factor of 2 and m? 2 Suppose -2*h + 18 = -5*h. Let x be ((-5)/(-4))/(h/(-528)). What is the highest common factor of 10 and x? 10 Suppose 6 = -2*m + 16. Calculate the greatest common factor of m and 5. 5 Suppose -226*x + 180 = -220*x. What is the highest common divisor of 525 and x? 15 Suppose -12 = 2*r + 12. Let d be (-6 - -1)*(r + 11). Suppose -57 - 363 = -d*j. Calculate the greatest common divisor of j and 12. 12 Suppose -1675 = -4*z + 2*j + 2043, 0 = -j + 1. Calculate the greatest common factor of 40 and z. 10 Let j(a) = -51*a - 294. Let o be j(-7). Calculate the highest common factor of 9 and o. 9 Let l = -194 - -258. Calculate the highest common divisor of 16 and l. 16 Suppose r + 5*o = 24, -2*o = -0*o. Let u(y) = 65*y**3 - 2*y - 1. Let k be u(-1). Let l be (3 + k/12)*-72. Calculate the highest common divisor of r and l. 24 Let j(v) = -21*v + 716. Let u be j(10). What is the highest common factor of 92 and u? 46 Let g(o) = -o**3 - 29*o**2 + 111*o - 53. Let u be g(-33). What is the highest common factor of 8 and u? 8 Let k(j) = j + 8. Let i be k(-3). Suppose 20 - i = r. What is the greatest common divisor of 15 and r? 15 Let k = 1638 + -1388. Calculate the greatest common divisor of 400 and k. 50 Suppose 0*l + 54 = 4*j + 2*l, 11 = j + 3*l. Let v be (-4)/j + 351/(-21). Let a = 25 + v. What is the greatest common divisor of a and 56? 8 Let o be (-98)/539 - 312/(-22). What is the highest common divisor of o and 2? 2 Suppose -10*x = -3*x + 1281. Let q = -50 - x. What is the highest common divisor of q and 7? 7 Suppose 2*f - 33 = 29. Let u = f + -29. What is the greatest common divisor of 16 and u? 2 Let m(k) = k**2 - k - 1. Let i be m(-2). Suppose 0*s - s = -i*r + 769, -2*s = -3*r + 460. Let u = 18 - 4. What is the highest common divisor of u and r? 14 Let l = 319 - 307. What is the greatest common factor of l and 2136? 12 Let b = -46 + 67. What is the highest common factor of 63 and b? 21 Let p(g) = -g**3 + 10*g**2 + 15*g - 6. Let m be ((-22)/(-5))/(8/20). Let y be p(m). What is the greatest common factor of y and 95? 19 Suppose 0*g + p = 4*g - 94, 5*g + 5*p - 130 = 0. Let a = g + -8. Calculate the highest common divisor of 16 and a. 16 Suppose x = -25 + 28. Suppose -x*i + 107 = -46. What is the highest common divisor of i and 306? 51 Suppose 5 = -2*o + 5*n, -o + n - 3*n = -2. Suppose 5*a + 5*g - 25 = o, -4*a - 5*g = -26 + 3. Calculate the greatest common factor of a and 34. 2 Suppose 4*x - 3*j - 924 = -6*j, -693 = -3*x + 4*j. Suppose 3*c - x = 174. Calculate the greatest common factor of 15 and c. 15 Let v = -221 + 608. Calculate the greatest common divisor of 9 and v. 9 Let m be -18 - (0 - (-2 + 1)). Let n = m - -21. Suppose -p - 3*p + 14 = -2*c, 3*p - 14 = -n*c. What is the greatest common divisor of p and 28? 4 Let v(u) = -3*u + 3. Let x be v(-5). Let a = x + 0. Let m = -36 + 72. What is the highest common divisor of a and m? 18 Let z = -1047 + 1122. Calculate the greatest common factor of z and 9. 3 Let l be (-1)/(-2)*(-4)/5*-75. Let r be (2 - 1)*(10 + 2). Calculate the greatest common factor of l and r. 6 Let v(q) = -10 - 54*q + 151*q - 54*q - 46*q. Suppose -4*k - 20 = k. Let w be v(k). Calculate the greatest common factor of w and 5. 1 Let b = -6 - -8. Suppose 17*u - 395 + 106 = 0. Let p = u - b. Calculate the highest common factor of 45 and p. 15 Suppose 5*z - 682 = -142. Suppose -2*l - z = -5*t, -141 = -5*t - l - 30. Calculate the greatest common divisor of t and 88. 22 Let z(h) = 12*h + 12. Let m be z(10). Calculate the highest common divisor of 484 and m. 44 Let z(x) = x**2 + 9*x + 28. Let y be z(-12). Calculate the highest common divisor of 320 and y. 64 Suppose 501*f + 136 = 503*f. Let k be (-3)/(-1)*(-1)/1. Let t be 18 - (2*-1 - k). What is the highest common divisor of f and t? 17 Let l(i) = -i - 6. Let w be l(-18). Let m = w - 11. Calculate the highest common divisor of m and 5. 1 Suppose 0 = 3*r - 3, -2*x - 3*x + 3*r + 357 = 0. Calculate the highest common factor of 3 and x. 3 Suppose t + 5*a = 140, -t + 139 = 4*a + 2. What is the greatest common divisor of 50 and t? 25 Let g = 16 + -13. Suppose -g*m = 5*m - 336. Let n be 1 + (4 - (-1 - m)). What is the highest common factor of n and 6? 6 Let j(l) = 84*l - 2. Let t be j(3). Suppose 3*o = 8*o - t. What is the highest common factor of o and 50? 50 Let r = 63 + -68. Let c(v) = -8*v - 13. Let t be c(r). Let x = -2 - -5. Calculate the greatest common divisor of t and x. 3 Let b(f) = -5*f - 8. Let z be b(4). Let p = z + 31. What is the highest common factor of p and 3? 3 Suppose -2 = -j + 1. Let o be (-143)/(-165) + 8/60. What is the highest common factor of j and o? 1 Let o = 236 - 12. Suppose 5*i - 2*i + 2*a - 332 = 0, 2*a = -2*i + o. Calculate the greatest common divisor of i and 12. 12 Let n = -386 + 422. Calculate the highest common divisor of n and 117. 9 Suppose 5*f = p - 337, -p + 2*f + 346 = -0*p. Let j = 415 - 383. Calculate the highest common factor of p and j. 32 Suppose 34*u = 30*u. Suppose u = 5*c - c. Suppose c = -g + m + 5 + 15, 3*g = -m + 60. Calculate the greatest common factor of 4 and g. 4 Suppose -b + 3*z = -50, -120 = -2*b - 2*z + 4*z. Calculate the highest common factor of 130 and b. 65 Suppose 0 = -2*c + 4, 181 = -3*b + 8*b + 3*c. Calculate the highest common factor of b and 15. 5 Suppose 0 = -2*r - 0*r + 28. Suppose 20*s - 4*o + 22 = 21*s, -5*s + 195 = 3*o. Calculate the greatest common divisor of r and s. 14 Let h be (-6438)/(-9) + 3/(-9). Suppose -11*w + 16*w = h. Calculate the highest common factor of 13 and w. 13 Let w = -642 + 650. What is the highest common factor of w and 208? 8 Suppose -6*d + 3*d = -36. Let f be (d/8)/(6/20). What is the greatest common factor of f and 5? 5 Let j(g) = 137*g**2 - 2*g + 11. Let o be j(3). Suppose 5*h + 118 = o. What is the highest common divisor of 16 and h? 16 Let o(r) = 13*r - 9. Let k be o(3). What is the greatest common divisor of k and 48? 6 Let y be 33*(-300)/(-108)*3. What is the highest common factor of 25 and y? 25 Suppose -2*w + 87 = 3*t, 0 = -5*w + 3*w - 4*t + 84. What is the highest common divisor of w and 132? 12 Suppose -k + 8 = l, 0 = k + 2*l + 1 - 13. Suppose 0 = -k*a + 16, 4*f = 6*f - 4*a - 10. Calculate the highest common divisor of f and 52. 13 Let l = 4 + 1. Suppose l*h + 2 = 22. Suppose -w - h*w + 40 = 0. What is the greatest common divisor of 8 and w? 8 Let x be (2 + -3 - 1) + 23. Let w(f) = -f + 1. Let m be w(-1). Let u be (-1 - m - -17)/1. Calculate the greatest common divisor of x and u. 7 Let l = 24 + -20. Let p be (1 - (0 + 3))*l. Let i be (6/p)/((-20)/960). Calculate the greatest common factor of 12 and i. 12
Put -1, 0, -4, 3, 66, -118 in decreasing order. 66, 3, 0, -1, -4, -118 Put 0.2, -5, -2/73, -3, 47 in decreasing order. 47, 0.2, -2/73, -3, -5 Put -169, -0.3, -25, -2, 985.9 in decreasing order. 985.9, -0.3, -2, -25, -169 Put 20, -3/4, 3, -1028/7 in decreasing order. 20, 3, -3/4, -1028/7 Sort 764, -2, 50151 in descending order. 50151, 764, -2 Sort 147, 4, -626, 0. -626, 0, 4, 147 Put 0, -766, -5, -399, -4 in ascending order. -766, -399, -5, -4, 0 Put 1.6, -0.255, 5/4, -2, 9 in ascending order. -2, -0.255, 5/4, 1.6, 9 Sort -3, -4, 57, 0, 3282 in decreasing order. 3282, 57, 0, -3, -4 Put 5, -2, 2, -824, -11, 49 in descending order. 49, 5, 2, -2, -11, -824 Sort 15, 173, 2, -1, 22 in increasing order. -1, 2, 15, 22, 173 Put 3, -1, 1, 15, 647 in increasing order. -1, 1, 3, 15, 647 Sort 3, 14, -5, -1, 7, 4 in ascending order. -5, -1, 3, 4, 7, 14 Sort -7, -2.7, -50, -14, -4/7 in increasing order. -50, -14, -7, -2.7, -4/7 Put 23, -2, -510, 1 in descending order. 23, 1, -2, -510 Sort 98, -236, -1, 5, -6, 2 in decreasing order. 98, 5, 2, -1, -6, -236 Sort 1.81, 0.052, -2/5, 165 in descending order. 165, 1.81, 0.052, -2/5 Sort 18, -16, 23, -300 in increasing order. -300, -16, 18, 23 Put -47, -4/15, -1413, -1, 0 in ascending order. -1413, -47, -1, -4/15, 0 Sort 94, 1142, -0.3, -2.1, 7 in descending order. 1142, 94, 7, -0.3, -2.1 Sort 10753.3, -16, 4 in decreasing order. 10753.3, 4, -16 Put 4, 0.11, 0.02, -2/3, -968 in ascending order. -968, -2/3, 0.02, 0.11, 4 Sort 8, 56, -1122. -1122, 8, 56 Sort -0.8, -8.4, 2, 452 in decreasing order. 452, 2, -0.8, -8.4 Sort -11, -1, -3, 13, 44, 0, -14 in decreasing order. 44, 13, 0, -1, -3, -11, -14 Sort -3/7, -213, -2, -2/4255. -213, -2, -3/7, -2/4255 Sort 0.434, 0.56, -121, 2 in decreasing order. 2, 0.56, 0.434, -121 Sort -2/26265, 3, 0.38, 16 in decreasing order. 16, 3, 0.38, -2/26265 Sort 1329, -4, 2, -106, -5 in descending order. 1329, 2, -4, -5, -106 Sort -300, -99, 4, -33 in decreasing order. 4, -33, -99, -300 Put 44343, 17, -37 in ascending order. -37, 17, 44343 Put -0.5, -2/7, 3, -1437, 89 in ascending order. -1437, -0.5, -2/7, 3, 89 Put 4, -9, -11, 3934 in decreasing order. 3934, 4, -9, -11 Sort 5/4, -4, 1091/25 in ascending order. -4, 5/4, 1091/25 Put -3, -881, -356, 0 in increasing order. -881, -356, -3, 0 Sort 2, 3, -3, -12, -14, 52 in decreasing order. 52, 3, 2, -3, -12, -14 Sort 10, 3, -518, 11, 0 in ascending order. -518, 0, 3, 10, 11 Put -875, 84, 0, 2, -13 in increasing order. -875, -13, 0, 2, 84 Sort -2, -88, -57, 18, -1.96, 0.1 in descending order. 18, 0.1, -1.96, -2, -57, -88 Sort -480, 5, 1, -12, -79/2, 0.1 in ascending order. -480, -79/2, -12, 0.1, 1, 5 Sort 25, -352466, 1/7 in descending order. 25, 1/7, -352466 Sort 4, 3, -7, -16, 1, -162 in descending order. 4, 3, 1, -7, -16, -162 Sort 230, 0.04, -4, 1287 in decreasing order. 1287, 230, 0.04, -4 Sort -1, 4, -5, 15, 2243. -5, -1, 4, 15, 2243 Sort 7.58, 12588, 0, 2/11 in descending order. 12588, 7.58, 2/11, 0 Put 0.1136, 87.76, -3, 1 in descending order. 87.76, 1, 0.1136, -3 Sort -5, 1, -1, -1/4, 0.05, 14.8 in descending order. 14.8, 1, 0.05, -1/4, -1, -5 Put 1, 4, -20159914 in decreasing order. 4, 1, -20159914 Sort 5, -9, -77, -18970 in ascending order. -18970, -77, -9, 5 Sort -9, 3, 30, 6, -42, 10, 4 in ascending order. -42, -9, 3, 4, 6, 10, 30 Sort -785, 1.48336, 3 in descending order. 3, 1.48336, -785 Put 3, -4, -9, -40, -575, 1 in ascending order. -575, -40, -9, -4, 1, 3 Sort -0.02, 12, 5, 2, 0.07, -2, 1 in descending order. 12, 5, 2, 1, 0.07, -0.02, -2 Put 47, 43, 7, 5, -3, -7, -2 in descending order. 47, 43, 7, 5, -2, -3, -7 Sort -37127, -1, 27, 3, -3 in increasing order. -37127, -3, -1, 3, 27 Put 995, -2, -5, 2, -1, 3553 in increasing order. -5, -2, -1, 2, 995, 3553 Sort 158859, -4, -45 in decreasing order. 158859, -4, -45 Put 1, -130, -23, 142 in decreasing order. 142, 1, -23, -130 Put 4/5, 5/6, -4/13, -49.334 in decreasing order. 5/6, 4/5, -4/13, -49.334 Sort -2, -3, -8, 52, 1, 5, 531 in ascending order. -8, -3, -2, 1, 5, 52, 531 Sort 104828, 6, 53 in increasing order. 6, 53, 104828 Put 5, -4, 2, -1576, 0, 3, -24 in increasing order. -1576, -24, -4, 0, 2, 3, 5 Put -4, 5, -6, -167, -13, -5, -1 in decreasing order. 5, -1, -4, -5, -6, -13, -167 Put -15, 703, 25/21, -2/11, 3 in decreasing order. 703, 3, 25/21, -2/11, -15 Put -2, -3, -35, 5, 6, 1784 in ascending order. -35, -3, -2, 5, 6, 1784 Sort -3/5, 611/24, 2, -0.1, 3, -1/3 in decreasing order. 611/24, 3, 2, -0.1, -1/3, -3/5 Sort -4, -5, 12591, 324. -5, -4, 324, 12591 Put 0, -7, -6, 609, -2, 6, 12 in descending order. 609, 12, 6, 0, -2, -6, -7 Sort -9, 29833, 3, -2 in descending order. 29833, 3, -2, -9 Put 5, 12, 1033986 in decreasing order. 1033986, 12, 5 Put -2, -3, 0, 4, -21, 8344 in increasing order. -21, -3, -2, 0, 4, 8344 Put 29, -4, -2, 20745, 6 in increasing order. -4, -2, 6, 29, 20745 Sort -3, -8, 1, 1/3, 1462, -2 in ascending order. -8, -3, -2, 1/3, 1, 1462 Sort -1/7, -10, 0.8, 6/17, -1083. -1083, -10, -1/7, 6/17, 0.8 Put 0.2, 0, -29/7, -339, 27, 0.4 in descending order. 27, 0.4, 0.2, 0, -29/7, -339 Sort -3, -5, 49, 103. -5, -3, 49, 103 Sort 3, 2, -1, -16, 0, 5, -2611 in descending order. 5, 3, 2, 0, -1, -16, -2611 Put -5, 86/7, -132, 32 in descending order. 32, 86/7, -5, -132 Sort 1.8, -2, -3/5, -11/43292 in decreasing order. 1.8, -11/43292, -3/5, -2 Put 3/4, -5/87, -0.3, -889/6 in increasing order. -889/6, -0.3, -5/87, 3/4 Sort -2/3, -0.3, 5, 212, 7/3, 22 in ascending order. -2/3, -0.3, 7/3, 5, 22, 212 Sort -2, 5, -19, 0, -9, 2132. -19, -9, -2, 0, 5, 2132 Put -5, -83, 6, -3, -4, 31, 0 in descending order. 31, 6, 0, -3, -4, -5, -83 Sort 25/12, -3, -738 in ascending order. -738, -3, 25/12 Put 35, -6, -13209, 1 in increasing order. -13209, -6, 1, 35 Put -38184, 19, 15 in increasing order. -38184, 15, 19 Put -47/1017, 9.2, 0.5, 0.1, 5 in ascending order. -47/1017, 0.1, 0.5, 5, 9.2 Sort -20206, -2/17, 4, -11, -1 in increasing order. -20206, -11, -1, -2/17, 4 Sort 119/9, 3, -45.5 in increasing order. -45.5, 3, 119/9 Put -4, -5113, 150, 0 in increasing order. -5113, -4, 0, 150 Sort 5, 13, 2, 486, 6, -13 in descending order. 486, 13, 6, 5, 2, -13 Sort -2, -1/8, -1.056, 6.1, 434 in decreasing order. 434, 6.1, -1/8, -1.056, -2 Put -27, -23, 7, -2, -5 in ascending order. -27, -23, -5, -2, 7 Sort 314, 5, 27. 5, 27, 314 Sort 2/17, 4/489, 1.6, -0.1 in increasing order. -0.1, 4/489, 2/17, 1.6 Sort 2665, -1, 70, 5 in descending order. 2665, 70, 5, -1 Sort -1, -64, 7, -271 in decreasing order. 7, -1, -64, -271 Sort 5, 22, -17285, -1, -3/4, 0 in ascending order. -17285, -1, -3/4, 0, 5, 22 Put 14597, 10527, -2 in increasing order. -2, 10527, 14597 Sort -1, -0.2, -1.21, 13, 5, -0.4. -1.21, -1, -0.4, -0.2, 5, 13 Put 3, -1680757, 4.6 in ascending order. -1680757, 3, 4.6 Put -931, -3/4, 482849 in increasing order. -931, -3/4, 482849 Put -67, -2, 1, -200, 2 in descending order. 2, 1, -2, -67, -200 Sort -48, -3, 17, -88, 1, -2. -88, -48, -3, -2, 1, 17 Sort 4, -4747, 0, 1, -35, -2 in increasing order. -4747, -35, -2, 0, 1, 4 Sort -67969, -13, 34 in increasing order. -67969, -13, 34 Put 1/3, 0.1, 0, 0.7, -89, 27 in descending order. 27, 0.7, 1/3, 0.1, 0, -89 Sort -25728, 1, 13, -219. -25728, -219, 1, 13 Put -4, -0.3, -0.1, -3/5, 934, 176 in ascending order. -4, -3/5, -0.3, -0.1, 176, 934 Put 23517066, -5, 0.4, -3 in ascending order. -5, -3, 0.4, 23517066 Sort 0, -1, -3, -173, 12, -3395 in ascending order. -3395, -173, -3, -1, 0, 12 Sort -47585562, 4, -2 in decreasing order. 4, -2, -47585562 Put 29486, -20, -1 in decreasing order. 29486, -1, -20 Sort -4, -28/13, 1535, 0.3. -4, -28/13, 0.3, 1535 Sort 5/3, 0.04, -3, 0, -237, 2/25 in descending order. 5/3, 2/25, 0.04, 0, -3, -237 Sort 1681807, -3, 4 in descending order. 1681807, 4, -3 Put 220, 3, -176 in increasing order. -176, 3, 220 Sort -192, -3, 0, -8, 1, -4. -192, -8, -4, -3, 0, 1 Sort 0.46, 0.2, -93, 2, 0.5, 5, -5 in descending order. 5, 2, 0.5, 0.46, 0.2, -5, -93 Sort 22.8, 1, -2/29, -4, 135/2. -4, -2/29, 1, 22.8, 135/2 Put 21657172, 0.5, 2 in descending order. 21657172, 2, 0.5 Put -2, 2, 5, -4, 90, 279, -65 in decreasing order. 279, 90, 5, 2, -2, -4, -65 Sort -13, -824, 11, 25, 1. -824, -13, 1, 11, 25 Sort -5, -373, -6, -225. -373, -225, -6, -5 Sort 0.1, 2024, 5, 9107 in decreasing order. 9107, 2024, 5, 0.1 Put 5461, 10316, 4 in decreasing order. 10316, 5461, 4 Put -5, 3, 25.85 in descending order. 25.85, 3, -5 Put -196, -47, 1245 in increasing order. -196, -47, 1245 Sort 2, -2, -16270, -1/7. -16270, -2, -1/7, 2
Let p(d) be the third derivative of -d**6/120 - d**5/15 + d**4/12 - 2*d**3/3 + 8*d**2. Let w(v) = -v**3 - 5*v**2 + 3*v - 5. Calculate -5*p(s) + 4*w(s). s**3 + 2*s Let s(q) = -4*q**3 - 7*q**2 + 4*q + 2. Let t(j) = j**3 + j**2. What is s(d) + 5*t(d)? d**3 - 2*d**2 + 4*d + 2 Let n = -3 - -7. Let f(h) = -2 - 7*h + 39*h**2 + 2*h - 34*h**2. Let r(d) = -6*d**2 + 6*d + 3. Determine n*r(i) + 5*f(i). i**2 - i + 2 Let w = 29 - 5. Suppose -r = r - w. Let f(l) = -l - 5. Let v(j) = 3*j + 12. Calculate r*f(z) + 5*v(z). 3*z Let g be ((-16)/24)/(4/(-6)). Let d(l) = -l. Let f(u) = 270*u. Let w(t) = 10*t. Let p(h) = -2*f(h) + 55*w(h). Give g*p(s) + 12*d(s). -2*s Let t = 1 - 2. Let l(h) = 189*h - 53*h - 47*h - 45*h - 45*h. Let f(m) = 2*m**2 + 2*m. What is t*f(i) - 2*l(i)? -2*i**2 Let k(z) = 13*z - 9. Let o(p) = 3*p - 2. Suppose -18 = -8*u + 9*u. Determine u*o(r) + 4*k(r). -2*r Let v = 3 + 2. Let u(y) = -4*y**2 - 5*y. Let d be 392/64 + (-2)/16. Let r(a) = 5*a**2 + 6*a. What is d*u(z) + v*r(z)? z**2 Let f = -4 + 3. Let s = 6 - 4. Let o(j) = j + s + 0 - 1. Let z(n) = -3*n + 1. Determine f*z(r) - o(r). 2*r - 2 Let b(t) = 265*t + 9. Let g(s) = 66*s + 2. Determine -2*b(p) + 9*g(p). 64*p Let s(c) = 7*c**2 - 2*c + 2. Let f(h) = 21*h**2 - 7*h + 7. What is 6*f(d) - 21*s(d)? -21*d**2 Let p(i) = -3*i**3 + 4*i**2 - 4*i. Let l(s) = -24*s**3 + 33*s**2 - 33*s. Let u be 3 + -1*(9 - 3). Let w be 6/9*(3 - u). Determine w*l(j) - 33*p(j). 3*j**3 Let a(t) = t**2 + 2*t - 1. Let v(f) = -3*f**2 - 5*f + 3. Let b = -4 + 14. Calculate b*a(g) + 4*v(g). -2*g**2 + 2 Let h = -5 + 6. Let j(f) = -f + 4 + 2 + h. Let t(q) = 2*q - 11. Calculate -8*j(d) - 5*t(d). -2*d - 1 Let g(d) = -6*d + 2. Suppose 0*l + 2*l = -2*u + 2, -4*l = -20. Let n(a) = -2*a + 1. What is u*g(b) + 11*n(b)? 2*b + 3 Suppose 0 = 4*l + 5*u + 32, -l - 5*u = l + 16. Let b(f) = -2*f**2 - 3*f - 2. Let v(s) = -5*s**2 - 8*s - 6. Calculate l*b(g) + 3*v(g). g**2 - 2 Suppose -10*h = -3*h - 91. Let i(g) = -15*g**2 - 13*g - 15. Let s(a) = -7*a**2 - 6*a - 7. Give h*s(b) - 6*i(b). -b**2 - 1 Suppose -5*f - 43 = 4*l, -3*f - 1 = -2*l - 6. Let j(y) = 6*y + 13. Let v(t) = 0*t + 0*t - 9 - 4*t. Calculate l*v(i) - 5*j(i). -2*i - 2 Let l(a) = -10*a + 294. Let u(p) = 2*p - 59. What is 2*l(r) + 11*u(r)? 2*r - 61 Let q(d) = -d**2 + d + 1. Let p(h) = -h**3 - 9*h**2 + 8*h + 10. Let m(g) = p(g) - 6*q(g). Let l(r) = -2*r**3 - 7*r**2 + 5*r + 9. What is -4*l(f) + 9*m(f)? -f**3 + f**2 - 2*f Let t(z) = z**2 - 3*z + 3. Let r be t(3). Let n(i) = 1 + r*i - 3*i + 3*i. Let q = -7 + 4. Let g(y) = 4*y + 1. Determine q*n(h) + 2*g(h). -h - 1 Let h(n) = -n**3 + 2*n**2 - 17*n. Let v(z) = 3*z**3 - 7*z**2 + 52*z. Calculate -14*h(c) - 4*v(c). 2*c**3 + 30*c Let c = -3 + 4. Let o(a) = -4*a + 0*a**3 - 4*a**2 - 2*a**2 + 3 - a**3. Let y be o(-5). Let q(j) = j**2 - 2. Let r(m) = -1. Calculate c*q(l) + y*r(l). l**2 Let p(s) = 2*s + 1 - 1 + 1 - 4*s. Let j(n) = -n + 1. What is -3*j(b) + 2*p(b)? -b - 1 Let q(h) = -3*h**3 + 2*h**2 - 24*h - 1. Let y(u) = -3*u**3 + 2*u**2 - 23*u - 1. Calculate -4*q(w) + 5*y(w). -3*w**3 + 2*w**2 - 19*w - 1 Let z(p) = -5*p**2 + 3. Let x(q) = 16*q**2 + q - 9. Give -2*x(b) - 7*z(b). 3*b**2 - 2*b - 3 Let n(d) = 3 - 9*d - 5 + 3*d**2 - 7*d**2 + 0*d**2. Let o(p) = -6*p**2 - 13*p - 3. Give 7*n(r) - 5*o(r). 2*r**2 + 2*r + 1 Let k(b) = -b**2 + 4*b - 2. Let i(l) = -2*l**2 + 9*l - 4. Calculate 6*i(p) - 13*k(p). p**2 + 2*p + 2 Let o(w) = -2*w + 11. Let p be o(7). Let a(f) = f + 1. Let t(z) = -2*z - 2. Determine p*t(h) - 5*a(h). h + 1 Let b(z) = 3*z - 5. Let u(f) = f - 2. Let v be ((-3)/(-3))/((-1)/7). Let q = v + 5. What is q*b(o) + 5*u(o)? -o Let s(m) = -4*m. Let l(z) = -51*z. Give 2*l(a) - 27*s(a). 6*a Let i(f) = 8*f**3 - 2*f**2 + 6*f + 6. Let p(v) = -v**3 - 4*v**2 - v - 5. Let w(x) = -x**3 - 5*x**2 - x - 6. Let l(y) = 5*p(y) - 4*w(y). What is i(q) + 6*l(q)? 2*q**3 - 2*q**2 Let w(y) be the third derivative of y**5/12 - 31*y**4/24 + 5*y**3/3 + 15*y**2. Let o(k) = -k**2 + 6*k - 2. Give -11*o(j) - 2*w(j). j**2 - 4*j + 2 Let f(c) = -c + 1. Let b(s) = 7*s - 7. Let l(v) = v - 10. Let z be l(8). Let x(o) = o + 11. Let r be x(-5). Let y be (3/9)/(z/r). What is y*b(i) - 6*f(i)? -i + 1 Let g(n) = -8*n**3 + 13*n**2 - 4*n + 13. Let o(w) = -2*w**3 + 3*w**2 - w + 3. Give 2*g(h) - 9*o(h). 2*h**3 - h**2 + h - 1 Let w(x) = -2*x**3 + x + 4. Let l(f) = 6*f**3 - f**2 - 2*f - 11. Calculate -4*l(q) - 11*w(q). -2*q**3 + 4*q**2 - 3*q Let r(g) = -2*g. Let v(a) = -29*a + 3. Let k(j) = 3*j - 4. Let t be k(7). Let h(f) = -10*f + 1. Let o(y) = t*h(y) - 6*v(y). Determine 2*o(b) + 3*r(b). 2*b - 2 Let q(j) = -2*j + 9. Let k(x) = -x + 4. Let p be ((-18)/(-4))/(12/(-16)). Determine p*q(h) + 13*k(h). -h - 2 Let k(o) = -o**3 - 2*o - 2. Let m(c) = c**3 + 3*c + 3. Suppose 2*u + 16 = -4*s, 0*u - 4*s = 5*u + 10. Give u*m(b) + 3*k(b). -b**3 Let q(o) = -5*o**3 + o**2 + 3*o + 1. Let w(x) = -x**2 + x + 1. Let t(k) = -q(k) + w(k). Let d(v) = -11*v**3 + 5*v**2 + 5*v. Calculate 2*d(p) + 5*t(p). 3*p**3 Let d(u) = -2*u + 4. Let c(y) = -y + 5. Determine -3*c(j) + 2*d(j). -j - 7 Let n(m) = -3*m**3 - 4*m**2 - 4*m + 4. Let y(l) = 11*l**3 + 2*l**2 - 2*l + 1. Let a be y(1). Let k(v) = -v**3 - v**2 - v + 1. Calculate a*k(c) - 3*n(c). -3*c**3 Let h(j) = -4*j**2 + 8*j + 4. Let v(a) = -5*a**2 + 7*a + 5. Give -6*h(i) + 5*v(i). -i**2 - 13*i + 1 Let q(w) = -w**2 + 6*w + 5. Let f(p) = -p**2 + 13*p + 10. Let y(m) = 6*f(m) - 13*q(m). Let x(h) = -20*h**2 + 14. What is 5*x(s) + 14*y(s)? -2*s**2 Let q(u) = -2*u**2 + 4. Let z(c) = 4*c**2 - 7. Suppose -7 = 2*m + 1. Calculate m*z(o) - 7*q(o). -2*o**2 Let o(p) = 5*p**2 - 93*p. Let d(y) = -4*y**2 + 92*y. Determine 4*d(k) + 3*o(k). -k**2 + 89*k Let w(c) = -c**3 - 2*c**2 + 2*c + 3. Let s(f) = 3*f**3 + 4*f**2 - 5*f - 5. Give -2*s(m) - 5*w(m). -m**3 + 2*m**2 - 5 Suppose -8 = -r - 3*r. Let z(u) = 3 + 0 - r*u - 7 - 3*u. Let d(g) = 6*g + 5. Give -3*d(p) - 4*z(p). 2*p + 1 Let y(b) = 3*b**3 - b. Let k(d) = 11*d**3 + 0*d + 0*d - 12*d**3. Determine -7*k(t) - 3*y(t). -2*t**3 + 3*t Let f(q) be the second derivative of q**4/12 + q**3/6 + q**2/2 - 12*q. Let b(d) = -d**2 - 2*d - 4. What is b(m) + 2*f(m)? m**2 - 2 Let i(j) = j**3 - j**2 - j - 1. Let t(b) = -6*b**3 + 4*b**2 + 4*b + 5. Let p(d) = -3*d - 22. Let k be p(-7). Give k*t(g) - 5*i(g). g**3 + g**2 + g Let p = 33 + -39. Let w(u) = -2*u. Let y(c) = -11*c. Give p*y(b) + 34*w(b). -2*b Let p(t) = t + 1. Let s(h) be the third derivative of h**4/24 - h**3/3 - 36*h**2. Determine -4*p(r) - s(r). -5*r - 2 Let m(z) = z - 10. Let j(q) = -q + 11. Give -3*j(k) - 4*m(k). -k + 7 Let q(m) = -35*m. Let c(s) = -37*s. Calculate -7*c(a) + 6*q(a). 49*a Let s(c) = 14*c**2 + 3. Let b(k) = -55*k**2 - 11. Give 6*b(a) + 22*s(a). -22*a**2 Let w(v) = 4*v - 2. Let u be ((-2)/5)/(1/5). Let d = 6 + -3. Suppose d*o - 6*o - 18 = -f, -2*f = -o - 11. Let g(p) = 3*p - 2. Calculate f*g(z) + u*w(z). z - 2 Let h(s) = -s + 1. Let y = 4 - 2. Let z(l) = 2*l + 1. Let b(a) = 5*a + 3. Let o(f) = -6*b(f) + 17*z(f). Determine y*h(c) + o(c). 2*c + 1 Let s(h) = -43*h**3 + 7*h**2 - 3*h - 10. Let c(o) = 29*o**3 - 5*o**2 + 2*o + 7. What is -7*c(b) - 5*s(b)? 12*b**3 + b + 1 Let h(r) = r**3 - 2*r**2 - 3*r + 18. Let u(d) = -d**3 + 3*d**2 + 4*d - 19. Give 3*h(l) + 2*u(l). l**3 - l + 16 Let a(p) = -8*p + 4. Let v(m) = -m + 1. Calculate -a(l) + 4*v(l). 4*l Let m(n) = 0 - 5 + 6 + 0. Let u(z) = z + 3. Let i(l) be the first derivative of -l**2 + 3*l + 2. Let h be i(5). Calculate h*m(f) + 2*u(f). 2*f - 1 Let g(r) = -5*r + 6. Let c = -19 - -25. Let t(y) = 4*y - 5. What is c*g(u) + 7*t(u)? -2*u + 1 Let g(o) = o**2 - o - 1. Suppose -22 = -15*u - 7. Let k(h) = -8*h**2 + 5*h + 5. Let z be (0 - -1) + 8/2. Determine u*k(n) + z*g(n). -3*n**2 Let r(q) = -2*q - 7. Let k(w) = 4 - 1 - 2. Calculate 6*k(y) + r(y). -2*y - 1 Let c(h) = -h + 4. Let y(w) = -w - 2*w + w + 3 + 4. Determine 11*c(x) - 6*y(x). x + 2 Let j(b) = -4*b**3 - b**2 - 5*b - 7. Let g(x) = -x**3 - x - 1. Let p(r) = 5*g(r) - j(r). Let o = 71 - 70. Let c(k) = k**3 + 1. Determine o*c(y) - p(y). 2*y**3 - y**2 - 1 Let a(i) = 494*i**2 + 91*i - 91. Let b(k) = -11*k**2 - 2*k + 2. Determine -6*a(r) - 273*b(r). 39*r**2 Let j(l) = -l. Let c = 6 + 0. Let t(n) = 15*n - 10 - c + 16. Calculate -33*j(o) - 2*t(o). 3*o Let m(s) = 5*s**2 + 6*s + 6. Let t(l) = -16*l**2 - 15*l - 15. Let x(r) = -81*r**2 - 74*r - 74. Let g(o) = 11*t(o) - 2*x(o). Give 6*g(a) + 17*m(a). a**2 Let c(o) = 4*o**3 - 12*o**2 + o. Let u(y) = 5*y**3 - 13*y**2 + 2*y. What is -4*c(d) + 3*u(d)? -d**3 + 9*d**2 + 2*d
Let i(u) = u**2. Let t(y) = 1219*y**2 + 6*y. Give t(i(h)). 1219*h**4 + 6*h**2 Suppose -4 = -3*y + 2. Let k(x) = 0 + 2 - 5*x - y. Let h(f) = -f. Calculate h(k(p)). 5*p Let n(f) be the second derivative of -13*f**3/6 + 2*f**2 + 315*f. Let p(u) = -u. What is n(p(q))? 13*q + 4 Let a = -6 - -8. Let d(t) = -9*t**2 + 9*t - 9. Let m(s) = s - 1. Let n(k) = a*d(k) - 18*m(k). Let w(c) = -2*c. What is n(w(o))? -72*o**2 Let d(q) = 4*q. Let i(l) = 4 + 3*l + 0 - 3 + 0. Let t be i(1). Let v(n) = n - n + t*n. Determine d(v(a)). 16*a Let f(j) = 2*j**2. Let m = -13 + 13. Suppose m*y = -2*y + 8. Let d(g) = g - y*g - 2*g. Determine d(f(x)). -10*x**2 Let t(x) = -x + 4*x - 2*x - 2*x. Suppose 0 = h + 5*h. Let p(j) = 5*j + 0 + h - 9*j. What is t(p(w))? 4*w Let o(j) = -j. Let f(r) be the third derivative of 0 + 23*r**2 + 7/30*r**5 + 0*r + 0*r**4 + 0*r**3. Calculate f(o(i)). 14*i**2 Let b = -219 - -415. Let t(i) = 8*i**2 - 196 + b. Let c(f) = -2*f**2. Calculate t(c(x)). 32*x**4 Let s(a) = 39*a**2. Let k(r) = -2*r + 9*r - 11*r + 4*r - r**2. Give k(s(n)). -1521*n**4 Let v(z) = -25*z + 15. Let n(h) = -h + 1. Let o(r) = 60*n(r) - 4*v(r). Let b(a) be the second derivative of a**3/6 - a - 6. Calculate o(b(w)). 40*w Let s(n) = -85*n**2 + 183*n**2 - 57*n**2. Let m(i) = i. Calculate s(m(w)). 41*w**2 Let w(v) = 7*v**2. Let f(m) = 32839*m**2. What is w(f(d))? 7548799447*d**4 Let a(i) be the second derivative of i**4/12 + 85*i. Let m(f) be the third derivative of -f**5/15 - 17*f**2. Calculate m(a(n)). -4*n**4 Let u(z) = -13*z**2. Let a(g) = -767*g + 767*g - 7*g**2. What is a(u(q))? -1183*q**4 Let f(g) = 2012*g. Let p(s) = -477*s**2. What is p(f(x))? -1930964688*x**2 Let j(d) = -172*d**2. Let q(y) = 488*y**2. Calculate q(j(m)). 14436992*m**4 Let r(y) = -y**2. Let u(x) = 84*x - 14. Let j(v) = -334*v + 51. Let d(o) = 6*j(o) + 22*u(o). Give d(r(h)). 156*h**2 - 2 Let w(m) be the third derivative of 3*m**5/5 - 318*m**2. Let r(c) = -15*c. What is r(w(j))? -540*j**2 Let w = -24 + 29. Suppose w*r + 96 - 631 = 0. Let m(z) = -2*z + r*z**2 + 2*z - 114*z**2. Let f(b) = -b. Give m(f(y)). -7*y**2 Let u(q) = 418*q. Let k(m) = -54*m + 1. What is k(u(f))? -22572*f + 1 Suppose 2*b = 5*s - 10, -4*s + 4 + 4 = -b. Suppose f = -s*f. Let z(v) = v**2 + 3*v**2 - 6*v**2 + f*v**2. Let l(j) = -4*j**2. Determine l(z(m)). -16*m**4 Let k(g) = -3*g**2. Let q(s) be the third derivative of 19*s**5/12 - 105*s**2. Calculate k(q(d)). -27075*d**4 Let o(h) = -h. Let p(w) be the second derivative of 32*w**3 + 2*w. Calculate p(o(d)). -192*d Let v(a) = 9087*a. Let t(r) = -4*r. Determine t(v(c)). -36348*c Let s(z) = 1381 + 4*z - 1381. Let i(u) = -98*u**2 + u. What is i(s(t))? -1568*t**2 + 4*t Let g(t) = -2756*t. Let x(b) = -404*b**2. Calculate x(g(m)). -3068596544*m**2 Let n(u) = -5*u**2 - 6. Let t(r) = -5*r**2 - 5. Let b(g) = 5*n(g) - 6*t(g). Let v(j) be the third derivative of -11*j**5/60 - 3*j**2 + 58*j. Give v(b(h)). -275*h**4 Let g(n) = -2*n + 5*n - 21*n + 12*n**2 + 5*n + 4*n. Let t = 3 - 1. Let q(r) = 3*r**2 - 2*r. Let b(y) = t*g(y) - 9*q(y). Let o(l) = -l**2. Give o(b(j)). -9*j**4 Let b(d) = -d + 16. Let l be 2*(2 - 3)*-7. Let g be b(l). Let z(r) = -3*r**2 + 8*r**2 - 6*r**g. Let p(c) = -2*c. Determine p(z(w)). 2*w**2 Let x(b) = -13*b - 24. Let f(s) = 11*s + 20. Let v(w) = 6*f(w) + 5*x(w). Let h(q) = q**2 - 298*q. Determine v(h(a)). a**2 - 298*a Let h(z) = -399450*z. Let u(q) = 2*q**2. Calculate h(u(f)). -798900*f**2 Let x(r) = -7*r. Let d = 191 - -207. Suppose -j = 3*z - 3*j - d, 5*j = 4*z - 533. Let b(n) = -z + 132 + 2*n. Give b(x(u)). -14*u Let u(n) = 3*n**3 - 2*n**3 + 3 + 3*n**2 + 3*n**2 - 1. Let o be u(-6). Let b(l) = -96*l + 96*l + l**o. Let p(f) = 14*f. Calculate b(p(a)). 196*a**2 Let f be -4 - 34*-1 - -3. Let a(y) = -f*y - 3 + 36*y + 3. Let x(p) = -2*p. What is x(a(m))? -6*m Let h be 2/5 + (-16)/(-10). Let q(y) be the second derivative of 0 - 2*y - 1/3*y**4 + 0*y**3 + 0*y**h. Let c(n) = n. Calculate q(c(r)). -4*r**2 Let l(a) = 2*a**2. Let f(x) = -4*x + 9. Let w(m) = -m + 1. Suppose -r - 2 + 4 = 0. Suppose 66 = -5*z - 24. Let u(n) = r*f(n) + z*w(n). What is u(l(b))? 20*b**2 Let y(l) = -4*l**2. Let p(o) = 1235*o + 114. Let w(k) = 11*k + 1. Let d(g) = -5*p(g) + 570*w(g). Give d(y(c)). -380*c**2 Let x(t) = -9*t - 13*t - 5*t + 29*t. Let q(o) = 45*o. Let w(u) = -2*q(u) + 54*x(u). Let k(f) = 2*f. Give w(k(r)). 36*r Let d(g) = 83842*g. Let i(c) = 51*c**2. What is d(i(m))? 4275942*m**2 Let r(v) = 321*v**2. Let z(f) = 298*f**2. Calculate r(z(q)). 28506084*q**4 Let o(a) be the second derivative of 9/2*a**2 - 1/6*a**4 + 0*a**3 + 0 + 10*a. Let z(v) be the first derivative of o(v). Let c(t) = -t**2. Calculate z(c(y)). 4*y**2 Let x(m) be the second derivative of 7*m**3/6 + 1469*m - 3. Let l = 7 - 5. Let h(j) = -7*j**2 + l*j**2 + 3*j**2. Calculate h(x(s)). -98*s**2 Let g(o) be the second derivative of o**5/120 - 17*o**3/6 + 7*o. Let v(a) be the second derivative of g(a). Let d(f) = -16*f**2. Calculate v(d(n)). -16*n**2 Let p(r) = r. Let o(x) = 8*x. Let b(g) = -13*g. Let k(m) = -5*b(m) - 8*o(m). What is p(k(l))? l Let n(w) = -5005*w + 15. Let q(g) = 3*g**2. Determine q(n(i)). 75150075*i**2 - 450450*i + 675 Let j(d) = 71*d. Let y(r) = -395 + 195 + 2*r**2 + 200. Give j(y(o)). 142*o**2 Let l(h) be the third derivative of 15*h**4/2 - 154*h**2 + 3*h. Let r(m) = -2*m. Determine r(l(u)). -360*u Let m(r) = -2*r**2. Let f(k) be the second derivative of k**7/840 - k**6/240 - 25*k**4/12 + 14*k. Let n(q) be the third derivative of f(q). What is m(n(w))? -18*w**4 + 36*w**3 - 18*w**2 Let p(s) = 6*s**2. Suppose 18 = -2*o + 6. Let a(d) = -d**3 - 6*d**2 + d + 8. Let w be a(o). Let b(r) = -2*r + 6*r - 2*r**w - 4*r. Calculate b(p(j)). -72*j**4 Let k(o) = o. Let b(j) = 1 - 6 - 3 + 7. Let l(p) = p - 1. Let h(w) = b(w) - l(w). Determine h(k(q)). -q Let o(u) be the second derivative of 10*u**3/3 + 116*u. Let x(k) = k. What is x(o(i))? 20*i Let t(n) be the third derivative of n**5/60 + 2*n**2. Let d(x) = -26*x**2 + 3. Let s(l) = 24*l**2 - 4. Let h(q) = -4*d(q) - 3*s(q). What is t(h(y))? 1024*y**4 Let b(q) = -13*q**2. Let h(y) be the first derivative of y**2 - 72. Determine b(h(i)). -52*i**2 Let g(t) = 3*t + 7. Let z(w) = -4*w - 15. Let d(q) = 13*g(q) + 6*z(q). Let m(n) = -2*n. Give d(m(v)). -30*v + 1 Let k(u) = -2*u - 5 + 1 - 5*u + 5*u. Let w(r) = -6*r**2 - 14*r + 14. Let p(b) = -2*b**2 - 5*b + 5. Let a(n) = 14*p(n) - 5*w(n). Give k(a(j)). -4*j**2 - 4 Let v = -77 + 83. Let c(r) = 3*r - 6*r + 7*r - v*r. Let q(g) = -10*g. Calculate c(q(x)). 20*x Let f(a) = -28*a**2. Let r(b) = 1144*b**2. Determine f(r(p)). -36644608*p**4 Let n(p) = 2*p. Let k be (15/(-10))/((-1)/2). Let z(b) be the second derivative of 0 - 1/6*b**4 + 0*b**3 - k*b + 0*b**2. What is z(n(m))? -8*m**2 Let a(f) = -6*f**2 + 7*f**2 - f**2 + f**2. Let w(g) = 3835 + g**2 - 3835. Give a(w(j)). j**4 Let a(o) = 0*o + 5*o - 4*o. Let d(m) be the second derivative of m**5/30 + m**2 - 4*m. Let i(r) be the first derivative of d(r). Determine a(i(g)). 2*g**2 Let f(a) = a**2 + a. Let p(y) = 7*y**2 + 6*y. Let r(q) = 6*f(q) - p(q). Let d(m) = -3*m**2 + 8*m. What is d(r(x))? -3*x**4 - 8*x**2 Let f(p) = 2*p. Let a(k) = -25694*k**2 - 1. Give f(a(j)). -51388*j**2 - 2 Let r(b) = 9*b**2 - b. Let y(k) = -2*k + 25. Let i(w) = -3*w + 30. Let n(m) = 5*i(m) - 6*y(m). What is r(n(j))? 81*j**2 + 3*j Let b(n) = 7*n**2. Let w(t) be the first derivative of -t**2/2 - 75. Give w(b(g)). -7*g**2 Let q(j) = -j + 4. Let h(l) = -1. Let t(w) = 12*h(w) + 3*q(w). Let u(d) = -4*d + 11. Let b(f) = -2*f + 6. Let x(g) = 11*b(g) - 6*u(g). Calculate x(t(a)). -6*a Let g(b) = 2*b - 476. Let v(p) = 9*p**2. Determine v(g(u)). 36*u**2 - 17136*u + 2039184 Let v(i) = 50*i**2 + 2*i. Let s(m) = -2*m + 23. Calculate v(s(y)). 200*y**2 - 4604*y + 26496 Let l(a) = -2*a**2 - 429. Let u(p) = -4*p - 2. Let h(c) = 9*c + 5. Let y(r) = -2*h(r) - 5*u(r). Give y(l(t)). -4*t**2 - 858 Let w(n) = -5*n + 3*n - n + 2*n. Let b(u) = 34*u**2 + 21*u**2 + 37*u**2 + 38*u**2. What is b(w(t))? 130*t**2 Let i(j) = 2*j. Let l(t) = -6*t - 25. Let r be l(-7). Let k(n) = 23*n + r - 17. What is i(k(c))? 46*c Let c(x) be the second derivative of -x**4/4 + 37*x**2/2 - 5*x + 8. Let f(r) = -r**2. Calculate f(c(i)). -9*i**4 + 222*i**2 - 1369 Let v(h) = -2*h + 131. Let p(g) = -88*g**2 - 5*g - 5. Determine v(p(m)). 176*m**2 + 10*m + 141 Let r(c) = -c**3 + 6*c**2 + 8*c - 3. Let k(p) = p + 2. Let i be k(5). Let z be r(i). Let j(b) = 4*b + 2*b - z*b. Let a(q) = -6*q**2. What is a(j(u))? -24*u**2
Solve f - 2*d - 2 = 0, -3*f + 5*d - 6*d - 1 = 0 for f. 0 Solve -k - 3*s + 8 = 0, -5*k - 3*s = -12 - 4 for k. 2 Solve 0 = -4*a + 5*c + 25, -34*c + 38*c + 20 = a for a. 0 Solve -3*h = o + 11, -5*o - 23 = -0*o - h for o. -5 Solve x = 3*z + 8, -4*z - 8*x = -3*x - 21 for z. -1 Solve 414*x - 418*x + 18 = -h, 5*h - 2*x = 0 for h. 2 Solve 5*t + 20 = 5*r + 55, 4*t - 20 = 0 for r. -2 Solve -6 = -4*c - 4*l - 18, 2*c + 5*l + 3 = 0 for c. -4 Solve -6 = -2*d - u, -5*u = -d - 3*d - 16 for d. 1 Solve 3*k + 11 = 4*x, 2*k + 8*x - 10*x + 8 = 0 for k. -5 Solve x - 4*y = -7 - 5, 2*y - 6 = -5*x for x. 0 Solve -5*i = -2*q, 7*i - 3 = 11*i - q for i. -2 Solve -l - q - 2*q + 6 = 0, -2*l - 5*q + 9 = 0 for l. -3 Solve z = 21*i - 23*i + 1, 4*i - 17 = z for i. 3 Solve f = 3*n, 5*f - 2*f = 0 for n. 0 Solve o + 5*y + 18 = -o, 0 = 4*o - 5*y + 6 for o. -4 Solve u - 5 = -26*k + 24*k, 5*u = 25 for k. 0 Solve -5*q + 2*h - 17 = 0, -6*q - 15 = -2*q - 3*h for q. -3 Solve 4*w = 3*s + 3, -24*s - 7 = 4*w - 25*s for w. -3 Solve -4 = 2*t + 4*v, -4*v = -3*t + 2*t - 8 for t. -4 Solve -5*k + 46 = 4*l + 10, 5*k = -5*l + 40 for k. 4 Solve -10*s + u = -9*s + 3, -5*s + 2*u - 27 = 0 for s. -7 Solve -3*a = -2*h + 7, 3*h - 17*a + 16*a = 0 for h. -1 Solve -139*x - 5 = -138*x - 5*o, 4*x + 3*o - 26 = 0 for x. 5 Solve 2*i + 76 = 4*l + 74, -2*l - 2*i + 4 = 0 for l. 1 Solve 12 = -2*v + 4*g, v = 2*g - 7*g + 29 for v. 4 Solve -2*z = 5*n - 21, 6 = 4*n - 17*z + 15*z for n. 3 Solve 24*q - 2*d - 22 = 19*q, -2*q + 11 = -3*d for q. 4 Solve -82*d = -m - 80*d + 7, -3*m - 4*d + 1 = 0 for m. 3 Solve -5*w = -4*s, 5*s + 7 = 3*w + 4*s for w. 4 Solve 0 = -3*t + 3*g - 30, 0*t - 2*t - 23 = -3*g for t. -7 Solve 9*h = 8*h - 2*k + 10, 0 = h - k - 1 for h. 4 Solve -5*v = f - 0*v + 14, 5*f + 10 = -5*v for f. 1 Solve 3*y - 3 = 3*s, -s - 3 = -2*y + 3 for s. 4 Solve 0 = -4*l - 5*w - 4, -3*l = 3*w for l. 4 Solve 4*g - 54 = -o - 70, -10 = -5*o - 2*g for o. 4 Solve 5*f + 7*l - 14 = 8*l, 0 = 3*f - 3*l - 6 for f. 3 Solve 2*o + 3 = -x, -9*x = -2*o - 14*x - 15 for o. 0 Solve -5*z - 16 = -4*n, n + 3*z - 4 = 4*z for n. 4 Solve -3*l = -f + 2 - 7, 5*l + f - 11 = 0 for l. 2 Solve -8*f + 20 = -4*f, -x + f = 1 for x. 4 Solve 3*m = -2*y + 9, y - 17*m + 15*m + 6 = 0 for y. 0 Solve 4*w - 3*q + 4 = 0, 3*q + 4 = -2*w + 2 for w. -1 Solve -i - 183 = -3*m - 195, -3*i - 16 = 4*m for m. -4 Solve 4*g = 6*g - 10, 0 = 4*x - 5*g + 13 for x. 3 Solve -2*t + 2*z + 10 = 0, 5*t - 14 = 3*t + 4*z for t. 3 Solve 3*f - 1 = 7*m, 0 = -7*f + 6*f - 2*m + 9 for f. 5 Solve -4*x + 6*c - c + 12 = 0, -2*c = -4*x for x. -2 Solve -6*c + 27 = 4*w - 3*c, -2*w - 14 = -4*c for w. 3 Solve 17*u + 5 = 20*u - 2*x, -5*u + 45 = 4*x for u. 5 Solve -2*b - c = -5*c, b - 4*c + 2 = 0 for b. 2 Solve 4*v + 3*t = 19, v - 17 = 5*t - 18 for v. 4 Solve 4*v + 2 = -27*x + 30*x, 4*x - 10 = -2*v for x. 2 Solve -3*i + 3*z + 4 - 7 = 0, -2*i + 4*z - 4 = 0 for i. 0 Solve 43*r - 39*r + 4 = -3*o, 3*o + 20 = 4*r for o. -4 Solve 4*v + 3 = 5*v - 5*z, 4*v = z - 7 for v. -2 Solve -c - 810*t - 4 = -812*t, -2*c - 8 = t for c. -4 Solve 16 = 67*k - 71*k, 5*l - 5*k - 40 = 0 for l. 4 Solve -3*y - 5*b - 4 = 0, 2*b + b = 5*y + 18 for y. -3 Solve 4*p + 3*c = -32, 7*c + 20 = 2*c for p. -5 Solve o + 8 = h, -2*h = -204*o + 206*o for o. -4 Solve -5*u - 35 = -25*a + 30*a, -u = 5*a + 19 for u. -4 Solve 3*z = -5*w + 4*z - 8, -10 = w - 3*z for w. -1 Solve 3*y = 5*x, 0*x = -y + 2*x for y. 0 Solve 2*l = -4*j - 3 + 1, 2*l = -2 for j. 0 Solve -2*d = 3*h - 21, -d = -5*h + 8 + 1 for d. 6 Solve 2*n + 4*y = 2, 130*n - 2 = 131*n + 5*y for n. 3 Solve 22 = 2*r - 4*v, 10*v = 2*r + 5*v - 25 for r. 5 Solve -5*y - 3*g - 34 = 0, 3 + 0 = -g for y. -5 Solve -4*g + 2*m - 12 = 0, 2*g = -10*m + 7*m - 14 for g. -4 Solve -3*y - 21 = 5*s - 3*s, -5*y - 34 = 3*s for s. -3 Solve z - 4 = -2*g, -34 = -4*z - 3*g - 28 for z. 0 Solve 2*y - 7 = 5*u, 6*u = 3*u - y - 13 for u. -3 Solve -k = -3, 2 = -5*p + 4*k + 10 for p. 4 Solve -2*t + 3*g - 12 = -g, 2*t - 5*g = -15 for t. 0 Solve -a - 16 = 5*t, 0*a - 3*a = -4*t - 28 for t. -4 Solve o + 8 = -24*q + 21*q, -2*o + 5 = -q for o. 1 Solve 6*b = b - 4*p - 40, 2*b = -3*p - 23 for b. -4 Solve -5*x = h - 6, -h + 0 = -4*x + 3 for h. 1 Solve 3*b = -j + 14 - 6, 4*b - 18 = -5*j for j. 2 Solve 3*o - 7 = 2*g, 0 = 5*o - 6 - 9 for g. 1 Solve -5*d - m - 12 = 5, -5*d - 5 = -5*m for d. -3 Solve 0 = h - 3*c + 5, -h + 2*c - 7 = -3 for h. -2 Solve -3*q = 4*u + 16, 10*q = -2*u + 11*q - 8 for u. -4 Solve -d = 4*t + 9, -t = t - 3*d + 15 for t. -3 Solve 5*p - 3*f - 29 = 0, -228*p + 231*p - 5*f = 27 for p. 4 Solve -4*t + 20 = 4*z, t - 3 = -0*t for z. 2 Solve -3*s = -3*h, -2 = -5*h + s + 2 for h. 1 Solve 6*q = 5*n + 2*q - 25, -4*q - 15 = 5*n for n. 1 Solve 2*h + 4*r = -12, 0 = -5*h - 6*r + 7*r - 19 for h. -4 Solve -z = -2*j - 4, 2*j = 3*z - j for z. -4 Solve 11 = 5*p + w, 0 = 5*p + 3*w + 3 - 6 for p. 3 Solve -16 = 2*k + 5*m - m, 0 = 4*k - 3*m - 23 for k. 2 Solve -4*u + 5*q - 51 + 72 = 0, -9 = -u + 2*q for u. -1 Solve -5*s + 6 = d, -d - 8 = -4*s - 5*d for s. 1 Solve 0*n + 5*s + 18 = 2*n, -s = -4*n + 18 for n. 4 Solve -6*u = -2*u - 16, -5*k + 2*u - 23 = 0 for k. -3 Solve g = 3*m + 6 - 10, 3*g = 5*m - 8 for g. -1 Solve 3*t + 25 = -5*o, -15 = 13*o - 10*o - 5*t for o. -5 Solve 2*k - 2*g = -12, 2*g - 6 = -g for k. -4 Solve -9*p - 5 = -14*p - 5*g, -p - 4*g = 2 for p. 2 Solve -2*g + 12 = -4*b, -g - 10 = -2*b - 4*g for b. -1 Solve 0 = 3*f - 5*h - 1906 + 1910, -4*f + h + 6 = 0 for f. 2 Solve 5*l - 5*x + 20 = 0, -2*l + x - 6 = -0 for l. -2 Solve -3*y - 15 = -b, 5*y - 267*b + 270*b = -11 for y. -4 Solve -11*b + 6*b + 4*i = 32, -4*b - 4*i - 4 = 0 for b. -4 Solve -3*u - v = 11, 17*u + 5*v = 12*u - 5 for u. -5 Solve 0 = 5*q - 10*q + 3*k - 1, 2*k - 2 = 2*q for q. 1 Solve -b - 9 = -2*r, r + 3*r - 19 = 3*b for r. 4 Solve z - 6 = -w, 0 = w - 2*w + z for w. 3 Solve -2*k + 8 = -4*w, 3*w + w = -k - 2 for w. -1 Solve 4*r + 23 = -5*k, 2 = -2*k - 4*r - 12 for k. -3 Solve -g = -3*g - b - 9, 3*b = -5*g - 23 for g. -4 Solve 259*v - 261*v + 2 = -3*a, 5*a + 6 = 4*v for v. 4 Solve -2*h - 12 = -6*t + t, h + 2*t = 3 for h. -1 Solve -u + 12 = -4*j, -3*u + j = -62 + 48 for u. 4 Solve -4 = -4*s - 3*n, -2*s - 3*n - 8 = -4*n for s. -2 Solve 4*u = -2*a - 2 + 16, 2*u + 3*a = 5 for u. 4 Solve 4*g + 15 = -l, -4*l + 5*g + 56 = 11 for l. 5 Solve 4*y + s + 19 = 0, -2*y + 0*s + 3*s + 1 = 0 for y. -4 Solve -2*z + 28*o - 30*o - 2 = 0, -2 = -4*z - o for z. 1 Solve 41*a - j = 39*a + 4, -3*j - 18 = 0 for a. -1 Solve -5*i - 5*m = -5, -4*i - 51 = m - 49 for i. -1 Solve 3*m - 2*m + 9 = 3*p, 1 = -4*m + 5*p for m. 6 Solve -10*x + 7 = -11*x - 4*g, -x + 3*g = 0 for x. -3 Solve -4*w + p - 8 = -25, 0 = 3*w + 8*p - 39 for w. 5 Solve 3*g - 1 = -h, 0*h = -4*g + 4*h - 20 for g. -1 Solve 5*u - 29 = f, 3*u - f = -0*u + 19 for u. 5 Solve -o - 5*d + 12 = 0, 0*d - 6 = -5*o + 2*d for o. 2 Solve 0*x - x = -7*l - 10, 2*l + 5*x = -24 for l. -2 Solve -u + 16 = 2*v + 30, 0 = -u + 5*v + 21 for u. -4 Solve -3*r = 4*l - 5, -412 = 5*l - 5*r - 392 for l. -1 Solve 28 = -4*q - 4*l, -5*q - 3 + 0 = -3*l for q. -3 Solve 0 = 5*i + 5, 7*q + 2 = 9*q + 2*i for q. 2 Solve 25 = -5*g, -81*g + 78*g = -2*t + 19 for t. 2 Solve 23 = 2*c - 5*b, 34 = -5*b + 9 for c. -1 Solve -21 + 32 = 5*o + w, 0 = 3*o - 3*w - 3 for o. 2 Solve 5*p - 3*p - 3*z - 7 = 0, 0 = 2*p - z + 3 for p. -4 Solve 3*o - 6*v + 21 = -3*v, 3*v = -5*o - 19 for o. -5 Solve -4*z = -5*b + 15, -32 = 3*b - 5*z - 41 for b. 3 Solve 7*b - 15 = 10*b, 14 = -h - 2*b for h. -4 Solve 2*x + 15 = -10*b + 5*b, -4*x = 3*b + 9 for b. -3 Solve z = 1, -4*q + 4 = -5*z + 1 for q. 2 Solve 4*a = 13*r - 10*r - 5, 0 = a - 1 for r. 3 Solve -3*t - 6 = -o, -3*o + 3*t = -4 - 2 for o. 0 Solve -15*i + 12*i + 1 = 2*j, -3*i - 7 = 4*j for i. 3 Solve -4*b + 15 = -2*m - 7, -4*b = -m - 17 for b. 3 Solve 0*y - 3*z - 1 = -2*y, -5 = 5*y - 5*z for y. -4 Solve 3*m = -n - 71 + 81, -5*m + 22 = -n for n. -2 Solve 4 = 4*q - 4*y, -1 + 11 = -2*y for q. -4 Solve 13*b - 15*b = -4*d + 22, -3*d + 3*b + 24 = 0 for d. 3 Solve -w + 6 = -4*m, -43*m = -46*m + 4*w - 11 for m. -1 Solve f = 5*d, 100*d - 12 = 3*f + 97*d for f. -5 Solve c + 983*r = 985*r - 11, -2*c - 12 = -2*r for c. -1 Solve -3*o - 22 = -5*s, -6*o + o + 5*s - 20 = 0 for o. 1 Solve -110*c - 3*z - 9 = -108*c, 0 = -2*c + 2*z + 6 for c. 0 Solve -4*a - 13*w - 14 = -11*w, -3*a + 4*w = 5 for a. -3 Solve 2*q + 20 = 5*w, 2*w + 3*q = 4*q + 9 for w. 2 Solve 2*w + 4*i = -16, 2*w - 4 + 5 = -i for w. 2 Solve 45 = -5*q - 4*k + 9*k, 0 = 5*q - k + 25 for q. -4 Solve s + 4*c = -9, -s - 16*c = -11*c + 12 for s. 3 Solve 5*y - 204*h = -207*h + 31, 3*h - 1 = y for y. 5 Solve 4*d + 2*m = 0, 1 = -3*d - m + 2 for d. 1
Let n(q) = -3*q. Let z be n(-7). Let r be (-10)/z + (-1)/(-3). Let t = -39 - -38. What is the nearest to 1/4 in r, t, 5? r Let p be (-7)/(-8) + 39/(-52). Which is the nearest to -2? (a) 4 (b) -0.5 (c) p b Let r = 20.2 - 20. Which is the nearest to -4? (a) r (b) 2 (c) -1 c Let n = -2.08 + 0.08. What is the nearest to n in -2, -1, 1/11? -2 Let y = -0.9 + -0.1. Let b = 49 + -51. Let z = 0.5 - 0. What is the closest to y in z, b, -5? b Let z = -3 - -2.5. Let j(o) = o**2 + 5*o + 5. Let d be j(-4). Let v be ((-1)/d - -2) + -1. Which is the closest to v? (a) 0 (b) 5 (c) z a Let l = -2 + 2.5. Let o be 161/(-45) - 3/15. Let h = o + 4. Which is the closest to -1? (a) 0.4 (b) l (c) h c Let w = -604/5 + 120. Let f = 2 - 1. Let d = 1.1 - f. Which is the closest to d? (a) 0.5 (b) 3/5 (c) w a Let o = 1.9 - 2. Let y = 102 - 304/3. What is the closest to o in -2, y, 2/9? 2/9 Let b(j) = -j**3 - 5*j**2 - 5*j - 9. Let y be b(-4). Let x = -1 + 1. Suppose 2*h - 2*u = -10, -u + 1 + 1 = x. What is the closest to 0.1 in 1, h, y? 1 Let t be (-5)/(-18)*33/55. What is the closest to 1 in -4, -4/3, t? t Suppose -a - 8 = -0*a. Let f be (-1)/8*(a + 6). What is the nearest to 1/2 in -0.5, 0.5, f? 0.5 Let j = -1 - 0. Let u = 3.2 + -3. Let x = -0.8 - u. Which is the nearest to x? (a) 3 (b) j (c) 1/4 b Let x = -8 - -9. Which is the closest to x? (a) 4 (b) -4 (c) -5 a Let s = 0.5 - 0.3. Let z = -67 + 65. Which is the nearest to -1? (a) -4 (b) s (c) z c Let a be ((-6)/8)/(2/(-4)). Let w = -4.94 - 0.06. What is the closest to 1 in w, a, 2/3? 2/3 Suppose -3*o - 3*m + 1 = 7, -4*o = -4*m + 24. Let h = -2.6 - -0.6. What is the closest to -4 in o, h, -0.1? o Let p be 198/690 - (-1)/(-5). Which is the nearest to -1? (a) p (b) 2 (c) -2 c Let m = -2 - -1. Let l = 5.12 - 0.12. Let h = -0.08 + -0.12. Which is the closest to h? (a) m (b) -0.4 (c) l b Suppose -30*x = -24*x + 30. Which is the closest to 0.05? (a) -0.2 (b) 0.1 (c) x b Let x be ((-8)/36)/(6/(-18)). What is the nearest to x in -4, -5, -0.5? -0.5 Let k = -15 - -15.3. What is the nearest to 1 in 0, k, 0.1? k Let v be 3*(1 + (-37)/18). Let p = -7/2 - v. Let j be (1 + 2)/(0 + -1). What is the closest to 1/4 in p, -2, j? p Let z = 0.2 + -7.2. Let p = 7.1 + z. What is the closest to -1 in 4, -3, p? p Let s = -6 - -8. Let d = 3.96 - -0.04. Which is the closest to -0.1? (a) s (b) d (c) 1 c Suppose 6*l - l = 0. Suppose -u - 5*t = -4*u - 16, 2*u - 2*t = -4. Let k = -0.6 + 0.1. Which is the closest to 1? (a) u (b) l (c) k b Let m = 0.06 - -0.94. Let s be (2 - 1)*(12 - 0). Let g = 110/9 - s. Which is the nearest to 0.1? (a) g (b) m (c) -1 a Let l = 11.1 + -11.3. What is the nearest to l in 8, -0.2, 5? -0.2 Suppose g + b = -g, 6 = -5*g - 4*b. What is the closest to -1 in g, -3, 1/2? 1/2 Let i = -5.94 + 6. What is the closest to -0.1 in -2/11, -0.4, i? -2/11 Suppose -2*z + 6 = -0*z + v, 5*z = 4*v + 15. Let s = 2 - 2.5. Let m = 35 - 141/4. Which is the nearest to 0? (a) z (b) s (c) m c Let d be 6/(-4) - (-170)/(-20). Let f = d + 10. Which is the nearest to f? (a) -0.5 (b) 4 (c) 5 a Let k = 293/3 + -99. What is the closest to 0 in k, -1/6, 5? -1/6 Let n = -44 + 50.2. Let d = n + -2.2. What is the closest to -0.3 in 2/15, 1/7, d? 2/15 Let f = 1.7 - 2.6. Let k = -0.1 + f. What is the closest to k in 0.4, 2/7, -2/3? -2/3 Let b = 9 - 8.7. Let m = 0.48 - -0.02. What is the nearest to -1 in m, -2/9, b? -2/9 Let w = -0.8 + 0.5. Let p be (-45)/8*110/33. Let m = -19 - p. Which is the nearest to -2? (a) w (b) 1/3 (c) m a Let b = 25 - 24. What is the closest to 0.1 in -2/5, b, 5? -2/5 Let r = 5.96 + -11. Let i = r - -0.04. Suppose -2*u + 0*u = 0. Which is the closest to -1? (a) u (b) 2/9 (c) i a Let f(j) = -6*j - 6. Let h be f(-1). What is the nearest to h in 0.1, 4, 2/13? 0.1 Let m(x) = x**3 + 7*x**2 + 10*x - 4. Let l be m(-5). Which is the nearest to -0.1? (a) 3 (b) l (c) 5 a Let l = 0 - -0.1. Which is the closest to 1? (a) -1 (b) 5 (c) l c Let t be 0 + (-2)/(-4) + 0. Let d = 0.39 + 0.01. Let g = -0.1 + d. Which is the nearest to t? (a) g (b) -3/2 (c) -1 a Let o = -9 + 12. Let z = 20 + -29. Let v = z + 5. What is the nearest to -1 in o, 4, v? v Let j = 0 - -2. Let g = 5.17 - 1.17. Which is the nearest to j? (a) 1/7 (b) 5 (c) g a Suppose 5*p = -4*z + 285, 4*z + 138 = 4*p - 90. Let g = p - 455/8. Let i = 41 + -42. What is the nearest to i in g, 0.5, 1? g Let w(k) = k**2 + 10*k + 12. Let i be w(-8). Which is the closest to 0? (a) i (b) 3 (c) 2/15 c Let r = -0.2 + 11.2. Let j = -16 + r. What is the nearest to 1 in -0.5, j, -3/5? -0.5 Suppose -3*g + 8 = -4*l + 19, -11 = l + 2*g. Which is the nearest to 0? (a) l (b) 1/6 (c) -2/15 c Let m = 16.98 - -0.02. Which is the nearest to m? (a) 0.1 (b) -1/2 (c) -0.1 a Let w = 88 + -966/11. Let u = w + 3/44. Which is the nearest to 1? (a) 1 (b) u (c) -2 a Let k = -5.2 - -0.2. Let u be ((-4)/(-6))/(-5 - -2). What is the nearest to 0.1 in -1, k, u? u Let u(y) = y**2 + 7*y + 1. Let b be u(-7). Let a = 11 + -8. Let m = 0.06 + 0.34. What is the nearest to -0.2 in m, a, b? m Suppose 3*l - 2*l + 2*d = 1, d = -5*l - 4. Which is the nearest to l? (a) -2/9 (b) 1 (c) -5 a Let o = -0.11 - -0.01. What is the nearest to o in 1/3, -0.4, -4? -0.4 Let u = 45.3 + -45. What is the nearest to 1 in -0.3, u, -2? u Let d = 34 - 34.1. Which is the nearest to d? (a) 1/2 (b) 0 (c) 1 b Let k = -0.006 - 0.194. Suppose -l - 20 = 3*l. What is the nearest to 0.1 in 2/11, l, k? 2/11 Let m be -1 - 1 - (-32)/14. Suppose 4*a - 4*u = 4, 2*a - 4*a - 5*u + 2 = 0. What is the closest to 1 in m, a, -1? a Let r be (3 + 1)*(693/(-234) - -3). Let w = 0.2 + -0.1. Which is the nearest to w? (a) -1 (b) r (c) -2 b Let y = 5.05 + -0.05. Let i be (-36)/(-56) - 4/28. Which is the closest to 0.1? (a) y (b) 0.4 (c) i b Let j = 4/113 - -198/791. What is the nearest to j in -5, 0.2, -0.4? 0.2 Suppose 40 = -w - 2*w + 5*r, -3*w - r = 10. Let t = 428/315 - 10/63. Which is the nearest to 0.1? (a) t (b) -3 (c) w a Let u(i) = -i**2 + 5*i - 3. Let d be u(3). Let x be (5/d)/(2/6). Which is the nearest to 0? (a) -2/11 (b) -1 (c) x a Let i = -38 - -38. What is the nearest to -6 in 2/9, i, 3? i Let j be 1 - (-212 + 0 + 0). Let n = 1915/9 - j. Suppose -4*k = -x + k + 24, -4*x + 3*k = -11. What is the nearest to x in 1, n, 2? n Suppose 13 = 2*k - 13. Let u be ((-2)/(-1)*-1)/k. Let n = 0.35 + 0.05. Which is the nearest to u? (a) 2/7 (b) -0.2 (c) n b Suppose -5*r - 68 + 423 = 5*f, -4*f = -r - 274. Let h = -209/3 + f. Which is the nearest to h? (a) 1 (b) -5 (c) 0.2 c Let r = 5316/2363 + -38/17. Let x = -425/556 + r. Which is the nearest to 0.1? (a) -0.2 (b) -5 (c) x a Let g be (-16)/10*10/(-4). Let v = 0.09 - -0.11. Which is the nearest to 0.1? (a) g (b) -2 (c) v c Let s = 0 + -1. Let b = -20.9 + 21. What is the closest to s in b, -3, -3/2? -3/2 Let t = 0.52 - 0.02. Let i = 0.2 - -3.8. Let s = 1 - 1.1. Which is the nearest to s? (a) i (b) t (c) -4 b Let u = 0.2 - 1.8. Let k = u - -1.6. Which is the nearest to 0.2? (a) k (b) -2 (c) 2/13 c Let p = -0.37 - -0.37. Let w = 0.9 - 1. Let n = -0.2 - w. What is the closest to n in -3/4, -0.1, p? -0.1 Let t = 0.08 - 4.08. Let n = -0.03 + -0.24. Let k = n - 4.73. What is the nearest to 2 in t, k, 1? 1 Let k = 0.2 - 4.2. Which is the nearest to -1? (a) -0.3 (b) k (c) -1/3 c Let i = 0.005 - 0.205. Let g = -6 + 1. Suppose 4*w - 2*z - 16 = -0*z, 3*z + 14 = 4*w. Which is the nearest to i? (a) g (b) w (c) -0.5 c Let w be -1*(-8)/(-12) + 7/15. Which is the closest to -0.2? (a) -1/3 (b) 4 (c) w c Let c = -30.1 - -30. What is the nearest to 1/5 in 3/8, c, -6/11? 3/8 Let s = 0.08 + -0.38. Let h be (5 - (-16)/(-4)) + -2. Which is the nearest to h? (a) -4 (b) -1/3 (c) s b Let q = -27 - -21.4. Let j = 0.6 + q. Let d = -0.46 - 0.04. Which is the nearest to -1? (a) 2/17 (b) j (c) d c Let v be (-64)/8*2/2. Let i = v + 7. What is the closest to i in 4/5, -3, 0.1? 0.1 Let i = -2.4 - -2.6. Let u = 23/3 + -8. What is the closest to i in 1, -2/13, u? -2/13 Let a(v) = -v**2 - 7*v + 5. Let u be a(-7). Let r = 2 + -2. Let o = 1 - 1.1. What is the closest to r in u, o, 2/9? o Suppose 2*i + 22 = 5*g + 3, 3*i + 3 = -g. Let d = 0.21 - 0.11. Let j = d + -4.1. What is the nearest to 2/3 in j, -3, g? g Let m = 5.34 - 0.34. Suppose 2*z + 5 = -5. Let j be 1*z/(110/(-4)). What is the nearest to 0.1 in -1, m, j? j Let v = 354/5 - 71. Let m be (-2)/(-6) + (-114)/126. Which is the closest to -1? (a) m (b) v (c) -0.5 a
Let k(t) be the second derivative of -t**4/4 - 5*t. Let y(q) = q. Determine k(y(p)). -3*p**2 Let d(l) = -l. Suppose 0 = 2*s - 2*a - 12, -2*a = 2*a. Let n(i) = -8*i - i + s*i. Give d(n(z)). 3*z Let z(q) = 2*q - 31. Let n(p) = 41*p - 6. Give n(z(v)). 82*v - 1277 Let r(a) be the second derivative of a**4/12 - 11*a. Let i(n) = -n**2. Calculate r(i(k)). k**4 Let d(f) be the first derivative of -5*f**3/3 + 15. Let p(i) = 4*i. Calculate p(d(b)). -20*b**2 Let m(f) be the first derivative of -f**5/120 + 2*f**3/3 + 1. Let v(b) be the third derivative of m(b). Let o(q) = q**2. Give v(o(u)). -u**2 Let k(n) = 159*n. Let h(i) = i**2 - 52. Give h(k(z)). 25281*z**2 - 52 Let r(l) = -l - 2*l**2 + 4*l - 3*l. Let z(x) = 7*x**2. Determine z(r(j)). 28*j**4 Let r(l) = -189*l. Let d(p) = -p**2. Give d(r(x)). -35721*x**2 Let f(l) be the third derivative of l**6/360 + l**3/6 - 2*l**2. Let y(m) be the first derivative of f(m). Let s(j) = -750 + 5*j**2 + 750. What is s(y(p))? 5*p**4 Let v(t) = -2*t. Let n be 5 - 0/(2 - 0). Let m be 15/3*2/n. Let w(u) = m*u + 3*u - 4*u. Determine w(v(s)). -2*s Let o(i) = -2*i. Let q(r) be the first derivative of 4*r**2 - 26. Determine o(q(j)). -16*j Let w(j) = -8*j**2. Let k(i) = 2*i - 8. Give w(k(a)). -32*a**2 + 256*a - 512 Let m(t) = -341*t. Let u(v) = 2*v**2. Calculate u(m(d)). 232562*d**2 Let m(y) = -y. Let n be 2*((-21)/(-6) + -3). Let z(a) = -4 + n + 3 + 2*a. Calculate z(m(g)). -2*g Let y(b) = 2*b. Let d(u) = 6275*u. Give y(d(m)). 12550*m Let g(t) = -2*t. Let j(k) = -4*k**2 + 12*k + 12. Let z(h) = 3*h - 1 + 4*h - 6*h + 2. Let m(b) = j(b) - 12*z(b). Calculate m(g(r)). -16*r**2 Let c(i) be the third derivative of i**5/60 + 18*i**2 - i. Let v(d) = -15*d. Calculate v(c(x)). -15*x**2 Let c(d) = -d**2. Suppose l = -5*k - 16, -l = -5*k + l - 13. Let b be 9/k - -4 - -3. Let g(v) = -b*v**2 + 3*v**2 - 2*v**2 + 6*v**2. Give g(c(t)). 3*t**4 Let j(u) = -11*u**2. Let f(q) = 2. Let r(t) = t + 3. Let s(c) = 3*f(c) - 2*r(c). Give s(j(x)). 22*x**2 Let m(k) = 15*k. Let t(v) be the second derivative of v**4/6 + 6*v. Give m(t(j)). 30*j**2 Let k(g) = 2*g**2. Suppose -4*c + q + 13 = -0*c, -18 = -4*c + 2*q. Let l(i) = 0*i**2 - i**2 + 4*i**c. Give k(l(n)). 18*n**4 Let y(i) = -15*i**2 + 13*i**2 + 19*i**2 + 19*i**2. Let x(f) = -f. Calculate y(x(q)). 36*q**2 Let l(r) = 23*r**2 - 10*r**2 - 9*r**2 - 2*r**2. Let d(o) = -o. What is l(d(a))? 2*a**2 Let a(p) = 299*p**2 - 602*p**2 + 302*p**2. Let x(l) = 7*l. Determine x(a(i)). -7*i**2 Let g(b) = -b**2. Let q(w) be the second derivative of w**7/1260 - w**4/6 + 3*w. Let o(y) be the third derivative of q(y). What is o(g(t))? 2*t**4 Let t(o) be the second derivative of -6*o**3 + 9*o - 2. Let q(b) = -2*b**2. Determine q(t(c)). -2592*c**2 Let g(y) = y. Let n(t) be the third derivative of 1/60*t**5 + 0*t + 0*t**3 + 0 - 3*t**2 + 0*t**4. Calculate n(g(b)). b**2 Let f(j) = -j. Let p(t) = -t**2 - 6*t + 6*t - 6*t**2. Calculate p(f(w)). -7*w**2 Let b(u) = 2*u + 2. Let s(a) = 8*a. What is b(s(h))? 16*h + 2 Let o(j) = -2*j**2. Let z(p) = -23*p + 2. Let r(i) = -1. Let n(q) = -2*r(q) - z(q). Give n(o(l)). -46*l**2 Let p = 5 + -6. Let q be 1 + (-2 - -2) - p. Let n(o) = -2 + 2*o - 7*o + q. Let d(x) = -x**2. Give d(n(s)). -25*s**2 Let n(k) = k + 109. Let d(a) = 2*a. Determine n(d(y)). 2*y + 109 Let h(o) = -21*o**2 - 18*o. Let u(n) = -n**2 - n. Let p(a) = -h(a) + 18*u(a). Let v = 1 - -1. Let k(c) = -2*c**2 - c**2 + c**v. Give k(p(w)). -18*w**4 Let m(w) = -w. Let f(l) = -195*l**2 + 10*l. Determine m(f(r)). 195*r**2 - 10*r Let t(m) be the third derivative of 0*m**4 + m**2 + 1/20*m**5 + 0 + 0*m**3 + 0*m. Let h(p) = 3*p**2. Calculate h(t(u)). 27*u**4 Let t(y) = y. Let n be (-5)/(-10) + 2/(-4). Let b(i) = 2*i**2 + n + 0*i + 4 - 4*i. Let l(s) = s - 1. Let h(q) = -b(q) - 4*l(q). What is t(h(p))? -2*p**2 Let z(t) be the second derivative of t**3/2 - 16*t. Let g(u) = 9*u. Calculate g(z(m)). 27*m Let j(m) = -3*m. Let q(g) = 36*g**2 - 1. Give j(q(k)). -108*k**2 + 3 Let n(i) = -3*i. Let z be (-1)/(-3) + 2/(-6). Let l(p) be the third derivative of z + 0*p + 1/24*p**4 - 2*p**2 + 0*p**3. Calculate n(l(y)). -3*y Let a(u) = 3*u. Let z(h) = -h**3 - 6*h**2 + 2. Let x be z(-6). Suppose 5*q - x = 8. Let i(j) = j**2 - 2*j**q - 4*j**2 + 3*j**2. Calculate a(i(d)). -6*d**2 Let h(j) = -3*j**2 - 4*j + 4*j + j**2. Let s(r) = -r - 2*r + 0*r. What is s(h(x))? 6*x**2 Let u(z) = -17*z. Let p(f) = -859 - 2*f**2 + 859. Give u(p(o)). 34*o**2 Let b(m) = 3*m**2 - m. Let l(c) = c. Let s be (-2 - -4)/(4/2). Let q(n) = s*l(n) + b(n). Let j(r) = 2*r. Calculate q(j(t)). 12*t**2 Let g(o) = -5*o**2. Let t(y) = -25*y**2. Give g(t(z)). -3125*z**4 Let w(x) = 15*x**2 - 9*x**2 - 5*x**2. Let m(t) be the second derivative of t**3/6 + t. Calculate m(w(v)). v**2 Let c(l) = l**2. Let m(x) be the second derivative of x**5/40 - 5*x**3/6 + 4*x. Let o(a) be the second derivative of m(a). Calculate o(c(r)). 3*r**2 Let n(d) = -d**2 - d**2 - d**2. Let l(z) be the first derivative of -z**3 + 2. Calculate n(l(a)). -27*a**4 Let k(m) be the third derivative of 2*m**2 - 1/12*m**5 + 0*m**4 + 0*m + 0 + 0*m**3. Let y(s) be the third derivative of s**5/60 + s**2. Calculate y(k(t)). 25*t**4 Let r(i) = -30*i**2. Let d(z) = -6*z**2 + 4*z. Give d(r(h)). -5400*h**4 - 120*h**2 Let b(q) = 18*q**2 - 25*q**2 + 6*q**2. Let k(d) = -d. Give k(b(m)). m**2 Let f(l) = -2*l**2 + 8*l**2 - 2*l**2 - l**2. Let t(r) = 5*r**2. Determine f(t(d)). 75*d**4 Let q(b) = -b**2. Let f(p) = 2053*p. Give f(q(z)). -2053*z**2 Let u(i) be the third derivative of 0*i + 0*i**3 + 2*i**2 + 0 - 1/24*i**4. Let r(y) be the third derivative of -y**5/60 + y**2. Calculate u(r(l)). l**2 Let w(s) = 55*s. Let q(x) = 4*x. What is q(w(c))? 220*c Let c(y) = y. Let m(f) = -f**3 - 3*f**2 + f - 2. Let p be m(-4). Let a(k) = p*k + 4*k - 3*k + 5*k. Calculate a(c(n)). 16*n Let a(v) = -2*v. Let b(x) = -x. Let n(u) = a(u) - 4*b(u). Let t = -13 + 29. Let h(z) = 12*z**2 + t*z**2 - 34*z**2. What is h(n(k))? -24*k**2 Let h(u) = 2*u. Let b(s) = s. Suppose 6 = -v + 4. Let q(y) = v*h(y) + 6*b(y). Let c(r) = -7*r**2. Determine q(c(o)). -14*o**2 Let d(f) = -f**2. Let v(q) = 16*q**2 - 16. What is d(v(n))? -256*n**4 + 512*n**2 - 256 Let j(n) be the third derivative of n**5/60 + 3*n**2. Let r(m) = 29 - 2*m**2 - 29. Give j(r(s)). 4*s**4 Let i(s) = s**2. Let z(g) be the first derivative of g**2 + 85*g - 21. Calculate z(i(k)). 2*k**2 + 85 Let y(k) = -14*k. Let z(f) = 162*f**2. Give z(y(p)). 31752*p**2 Let s(g) be the second derivative of -g**4/6 + 2*g. Let q(d) = 10*d**2 + 7*d + 7. Let l(m) = -7*m**2 - 5*m - 5. Let h(w) = 7*l(w) + 5*q(w). Determine h(s(f)). 4*f**4 Let y(g) = -g - 1. Let p(q) = 3*q - 4. Let r(o) = -p(o) + 4*y(o). Let m = -1 + 3. Let k(x) = -4*x**2 + 2*x**2 + 3*x**m. Give r(k(u)). -7*u**2 Let s(z) = -8*z**2. Let u(f) = -f**2. Determine s(u(p)). -8*p**4 Let h(t) be the second derivative of -t**3/3 - t. Let z(v) = 5*v - 33*v + 21*v. Calculate h(z(i)). 14*i Let v(q) be the first derivative of q**2 - 1. Let m(b) be the first derivative of 15 + 2*b**3 - 11 + 2*b**3 - 6*b**3. What is v(m(w))? -12*w**2 Let g(f) = 17*f + 11*f - 33*f. Let j(h) = -7*h**2. Determine g(j(y)). 35*y**2 Let u(t) be the third derivative of 0*t - 1/30*t**5 + 0 + 0*t**3 - 3*t**2 + 0*t**4. Let j(h) = -2*h**2. Give u(j(v)). -8*v**4 Let s(z) = 3*z**2. Let b(g) = 9*g**2 - 7*g + 0 - g**3 + 0 - 2 - 2. Let k be b(8). Let t(q) = -k*q + 2*q - 4*q + 4*q. What is t(s(y))? -6*y**2 Let z(b) = -3093*b**2. Let i(q) = -q**2. What is i(z(h))? -9566649*h**4 Let u(f) = -2*f. Let j(y) = -31*y - 6. What is u(j(n))? 62*n + 12 Let r(n) be the third derivative of n**5/60 + 3*n**2. Let c(y) be the second derivative of 0 + y + 0*y**2 + 1/3*y**3. Calculate c(r(g)). 2*g**2 Let k(n) = 557*n**2. Let z(f) = 12*f. Give k(z(o)). 80208*o**2 Let d(y) = -y**2. Let g(i) = -2857*i**2 - 1. What is g(d(a))? -2857*a**4 - 1 Let v(h) = 2*h**2. Suppose -4*p - 3*c + 5*c = -18, 3*p = -5*c - 19. Let f(w) = -2 + 2 + p*w + 0*w. What is v(f(z))? 8*z**2 Let b(h) = -3*h**2. Let k(u) = u**2 - 2*u - 2. Let f(c) = -8*c**2 + 17*c + 17. Let x(l) = 6*f(l) + 51*k(l). What is b(x(g))? -27*g**4 Let n(g) = 5*g**2. Let t(c) = -2512*c**2. Give n(t(v)). 31550720*v**4 Let k(s) be the third derivative of 11*s**4/24 + 28*s**2 + 1. Let d(q) = -3*q. What is d(k(y))? -33*y Let g(y) = 18*y**2 - 10. Let c(i) = 5*i**2. Determine c(g(o)). 1620*o**4 - 1800*o**2 + 500 Let x(t) = 3*t**2. Let m(u) = -75*u**2 + 1. Give x(m(p)). 16875*p**4 - 450*p**2 + 3
Is 1041971 composite? True Is 359111 prime? True Is 1744851 prime? False Is 11179 a prime number? False Is 139679 a prime number? False Is 40633 prime? False Is 2858 prime? False Is 14243 prime? True Is 2466199 a prime number? False Is 5509 a prime number? False Is 1326133 a composite number? False Is 53147 prime? True Is 162103 a composite number? True Is 210623 a composite number? True Is 181087 a prime number? True Is 9722 composite? True Is 25021 composite? True Is 341191 composite? False Is 1530593 a composite number? True Is 5663 a prime number? False Is 1205803 a composite number? True Is 64067 prime? True Is 62587 composite? True Is 148091 a composite number? False Is 5471 a composite number? False Is 22303 composite? False Is 52795 prime? False Is 310141 a prime number? False Is 33137 a prime number? False Is 4007 prime? True Is 19523 a composite number? True Is 162145 a composite number? True Is 153377 a prime number? False Is 7729 a prime number? 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True Is 8791 a composite number? True Is 84499 a prime number? True Is 853 a prime number? True Is 193637 a prime number? False Is 10397 prime? False Is 207821 a prime number? True Is 554213 a prime number? False Is 75659 prime? True Is 859 a prime number? True Is 77641 a composite number? False Is 11 a prime number? True Is 191377 prime? False Is 101681 a composite number? False Is 7499 a prime number? True Is 50789 a prime number? True Is 57037 a composite number? False Is 2171 a prime number? False Is 2129 a composite number? False Is 48157 a composite number? False Is 50491 a prime number? False Is 23659 composite? True Is 14369 a prime number? True Is 11734 a composite number? True Is 23245 composite? True Is 398537 a composite number? True Is 499 a composite number? False Is 34511 a composite number? False Is 467399 composite? False Is 159667 composite? False Is 200773 composite? True Is 604319 prime? True Is 2212235 composite? True Is 1093931 composite? True Is 334027 composite? True Is 811939 a composite number? True Is 19937 a prime number? True Is 2633 composite? False Is 18592283 a prime number? True Is 573 composite? True Is 1901 a prime number? True Is 280277 a prime number? True Is 2839 composite? True Is 148817 a prime number? True Is 8311 a prime number? True Is 2950693 prime? False Is 46957 a prime number? True Is 4267 composite? True Is 739 composite? False Is 32885 a prime number? False Is 53987 prime? True Is 799807 prime? True Is 159173 prime? False Is 550513 prime? True Is 14591 prime? True Is 23251 a composite number? False Is 3109 composite? False Is 226991 a prime number? True Is 422689 a composite number? False Is 1039 a composite number? False Is 4139801 prime? True Is 537146 a prime number? False Is 1123 a composite number? False Is 425254 prime? False Is 24746 composite? True Is 124919 a composite number? False Is 7411 prime? True Is 19547 a composite number? True Is 163249 a composite number? False Is 20095 a composite number? True Is 82757 composite? False Is 12287 a prime number? False Is 398207 a prime number? True Is 17617 prime? False Is 469 prime? False Is 60811 a prime number? True Is 132049 prime? True Is 240131 prime? True Is 22822 a composite number? True Is 1735211 a prime number? True Is 49519 a composite number? True Is 19643 prime? False Is 45433 a composite number? False Is 853 composite? False Is 271961 a prime number? False Is 14903 prime? False Is 143123 prime? False Is 35753 a composite number? False Is 73471 composite? False Is 13001 prime? True Is 255985 prime? False Is 38431 a prime number? True Is 23929 composite? False Is 21929 prime? True Is 98309 composite? True Is 25617 prime? False Is 29353 prime? False Is 1509 composite? True Is 91009 prime? True Is 216157 a prime number? True Is 9521 a prime number? True Is 15259 composite? False Is 12281 prime? True Is 12471 prime? False Is 128897 a prime number? False Is 5997 a prime number? False Is 10357 a prime number? True Is 20074 a prime number? False Is 1769327 composite? True Is 20783 a composite number? True Is 9722 a composite number? True Is 1655 a prime number? False Is 24593 a composite number? False Is 30757 prime? True Is 104977 a prime number? False Is 324293 a prime number? True Is 137023 a prime number? False Is 245561 composite? False Is 210473 a composite number? True Is 11143 prime? False Is 10541 prime? False Is 9131 a composite number? True Is 242807 prime? True Is 13129 a prime number? False Is 38851 a prime number? True Is 10903 a composite number? False Is 2479 prime? False Is 34679 prime? True Is 2787 a composite number? True Is 279231 composite? True Is 3599 composite? True Is 91867 a composite number? False Is 251461 composite? True Is 14969 composite? False Is 2279 a composite number? True Is 186689 composite? False Is 1637 a prime number? True Is 28733 prime? False Is 84691 prime? True Is 6159 composite? True Is 1230854 prime? False Is 234887 prime? False Is 11851 a composite number? True Is 675959 a composite number? False Is 2722 a prime number? False Is 603101 a composite number? False Is 167767 a composite number? True Is 33247 prime? True Is 1261 a composite number? True Is 42421 a prime number? False Is 147419 composite? False Is 575279 prime? False Is 647909 a prime number? True Is 347869 a composite number? True Is 867655 prime? False Is 7135 a prime number? False Is 267 prime? False Is 2993767 composite? True Is 30959 a composite number? True Is 2647 composite? False Is 5347 prime? True Is 25001 composite? True Is 8387 a prime number? True Is 1576919 prime? False Is 309226 a composite number? True Is 86069 prime? True Is 35831 a prime number? True Is 320111 prime? False Is 70373 composite? False Is 273503 a composite number? False Is 1249 composite? False Is 53759 prime? True Is 785839 a composite number? False Is 254591 a composite number? True Is 21818 prime? False Is 21254 a prime number? False Is 14699 composite? False Is 14963 prime? False Is 5087 prime? True Is 35771 a composite number? False Is 10007 prime? True Is 537986 a composite number? True Is 222773 prime? True Is 6598 a prime number? False Is 211619 a prime number? True Is 3587279 a prime number? True Is 269931 a composite number? True Is 5981 a prime number? True Is 5383 prime? False Is 22577 prime? False Is 409679 a prime number? False Is 475951 a prime number? False Is 82457 composite? False Is 8483 a composite number? True Is 57871 a prime number? False Is 80839 a composite number? True Is 1369597 composite? False Is 2333 prime? True Is 136021 composite? True Is 2175403 a composite number? True Is 1586341 a prime number? False Is 104417 prime? True Is 2606545 prime? False Is 143097 a prime number? False Is 2738681 a prime number? False Is 84457 composite? False Is 522589 composite? True Is 6773 a composite number? True Is 912167 a prime number? True Is 25523 a composite number? False Is 95393 a composite number? False Is 430259 prime? True Is 264683 composite? True Is 91421 a composite number? True Is 5969 prime? False Is 217831 a composite number? True Is 5189 prime? True Is 18833 composite? True Is 296603 a prime number? False Is 333563 composite? False Is 785443 a prime number? False Is 320533 composite? False Is 20593 a composite number? False Is 5981 composite? False Is 1335038 a composite number? True Is 22189 a prime number? True Is 10007 a composite number? False Is 598613 composite? False Is 3649 prime? False Is 284407 prime? True Is 24781 a prime number? True Is 123973 composite? False Is 58271 prime? True Is 83177 a composite number? False Is 15487 composite? True Is 990137 prime? True Is 4871 a composite number? False Is 160309 a composite number? False Is 821 a composite number? False Is 404381 a prime number? True Is 3545 prime? False Is 2823 a prime number? False Is 19717 a composite number? False Is 15943 a prime number? False
Rearrange -434*f - 14769 + 14769 + 0*f + f - 3*f + (2 - 2 - 1)*(5*f - 5*f + 2*f) - f + 2*f - 3*f - f + 3*f - 3*f to l + t*f and give t. -441 Rearrange (5 - 5 - 2)*(-5*f**4 - 3*f**4 + 5*f**4) + (-4*f**3 - 2*f**3 + f**3)*(35 - 35 - 17*f) to h + s*f + k*f**4 + y*f**2 + b*f**3 and give b. 0 Rearrange (14 - 25 + w**2 + 8 - 2*w)*(w - 4*w - 2*w) to the form q*w + c*w**2 + s + o*w**3 and give o. -5 Express -6*r + 4*r**2 - 4*r**3 - 3*r**2 - r**3 + 10*r + 0*r**3 as c*r + h*r**3 + q + f*r**2 and give h. -5 Express -2 - 47837*s**3 - 337*s + 2 + 47840*s**3 in the form l*s + b*s**3 + i*s**2 + n and give l. -337 Rearrange 28 - o + 12 + 5*o - 4 - 6*o to v*o + h and give h. 36 Express -17*u**2 - 10*u + 2*u**3 + 2*u + 9*u**2 + 5*u**2 in the form g*u**3 + c + h*u**2 + v*u and give g. 2 Rearrange 3 + 42423*n**3 - 4 - 38*n**4 - 42424*n**3 to the form c*n**4 + i + u*n + d*n**3 + g*n**2 and give c. -38 Rearrange -333*t**2 + 29*t**2 - 29*t**2 to o*t**2 + n*t + u and give o. -333 Express (0 - 2*t + 0)*(46 + 20 + 0)*(-1 + 1 - 3) as i*t + r and give i. 396 Express -3*l**2 + 1 - 7*l**2 - 32*l**2 + 1 in the form p*l**2 + h + t*l and give h. 2 Express 21 - 28*n + 26*n + 8*n in the form x*n + y and give x. 6 Express -8 - 159*c - 11*c + 8 as j + f*c and give f. -170 Rearrange -1449*a + 348 + 349 - 697 to i + v*a and give v. -1449 Rearrange 2*j**4 - 3 + 0*j**3 + 3*j + 6*j**3 - 5*j - 3*j**3 - j**2 to i*j**2 + t*j**3 + m + x*j + k*j**4 and give k. 2 Express -3*o**4 + 117 - 10*o**3 - 118 + 4*o**4 - 6*o as n*o**4 + r*o**3 + s + q*o**2 + u*o and give s. -1 Express 4 - 10 + 5*b**2 + b**3 + 6*b**3 + 5 - b**4 as p*b**4 + v*b**2 + w*b**3 + k*b + f and give f. -1 Rearrange -113 - 90 + 200 - 148*n to the form k*n + j and give j. -3 Rearrange -4*r - 2*r - 28*r**3 + 1 - 33*r**3 + 63*r**3 to u*r**3 + f*r**2 + b + n*r and give u. 2 Rearrange -1984*a - 2057447 + 2057447 to c + b*a and give b. -1984 Express (-u + 4*u + u)*(52 + 562 + 260) in the form t + o*u and give o. 3496 Express (12 - 5*v**3 - 12)*(8 + 3 + 0 + (-4 + 2 + 4)*(-1 - 2 + 2) - 2 - 2 + 3) in the form p + o*v**3 + t*v + w*v**2 and give o. -40 Rearrange -19*p**3 + 2575*p**2 - 4*p**3 - 9*p**3 - 2573*p**2 - 14*p**3 + 1 + p to c + y*p + b*p**3 + f*p**2 and give c. 1 Express 9*h**3 - 21*h**2 + 2*h + 21*h**3 - 8*h**3 + 21*h**2 - 5 in the form y*h + a*h**3 + z + c*h**2 and give z. -5 Rearrange -6*x**2 + 15*x**2 - 13*x**2 + 4*x**4 + (15*x**2 - 3*x**2 - 2*x**2)*(2*x**2 - x**2 + 0*x**2) to the form k*x + f*x**3 + g*x**2 + q + b*x**4 and give b. 14 Express -271*j**2 + 123*j**2 + 8*j + 128*j**2 - 3*j + 1 + 1 in the form f + v*j + x*j**2 and give f. 2 Express -2*c**4 - 4*c**4 + 0*c**4 + 8 + (-c - 3*c + 2*c)*(0*c + 0*c + 3*c**3) as t*c**3 + h + a*c**2 + k*c**4 + r*c and give h. 8 Express 3304*o - o**2 - 3304*o + 7 as z + u*o + a*o**2 and give a. -1 Rearrange (2 + 1 + 0)*(9*q**4 + 10*q + 4*q**3 - 4*q - 7*q**4) to the form p*q**3 + n*q + o*q**2 + c + d*q**4 and give d. 6 Rearrange 5*n**2 - 14 - 13 + 25 + (5 - 2*n - 5)*(5*n - 2*n - 2*n) to k*n + m*n**2 + p and give p. -2 Rearrange (-2*v + 1 - 1)*(-98 - 18 - 132) to the form i*v + h and give i. 496 Express 3 + 21*r - 2*r - 3 + 43*r**2 - 27*r**2 as i*r + l + n*r**2 and give n. 16 Rearrange (4*t - t + 4*t)*(-5*t**3 + 2*t**3 + 5*t**3 - 7*t) to the form j*t**4 + l + d*t**3 + w*t**2 + g*t and give g. 0 Rearrange (-3*m - 3*m - 2*m)*((1 - 3 + 4)*(-1 + 1 + 3*m**2) - m**2 + 3*m**2 + 0*m**2) to j + g*m**2 + x*m**3 + f*m and give x. -64 Rearrange -8 - 2*l - 21 + 0 + 5 to a + b*l and give b. -2 Express 0*u + u - u**2 + u**2 - 3*u**2 as o*u + b + q*u**2 and give o. 1 Rearrange 5*x**3 - 4*x**3 + x**3 + (2 - 2 + 2*x)*(-5*x**2 - 18 + 18) + (-2*x**3 - 4*x**2 + 4*x**2)*(3 - 5 - 3) to i + s*x**2 + p*x + l*x**3 and give l. 2 Rearrange (-21*g + 2*g - 63*g)*(-2 + 5 - 2 + (-2 + 5 - 1)*(0 + 5 + 0)) to x + r*g and give r. -902 Rearrange -26*t + 0 + 0 - 716*t to q + i*t and give i. -742 Rearrange -20*r + 10*r + 4 - 2*r**4 + 12*r + 5*r**2 - r**2 to the form b*r**2 + t*r**3 + a + c*r + x*r**4 and give c. 2 Rearrange (-q**4 + 3*q**4 - 5*q**4)*(-6 + 6 + 6) + 20*q**2 - 22*q**2 + 29*q**2 - q**4 - 1 to the form k*q**4 + l*q + h + u*q**2 + i*q**3 and give u. 27 Rearrange 230*a - 16 + 16 to k + q*a and give q. 230 Rearrange 2*w**2 + 6*w**2 - 4*w**2 + (1 + w - 1)*(-w + 2*w - 4*w) + 12*w**2 - 11*w**2 + 12*w**2 to j + y*w + c*w**2 and give c. 14 Rearrange (2*p - 10*p + 0*p)*(3*p + 0*p - 4*p + (1 - 1 + 1)*(3*p - p - p) + 4*p + 0 + 0 - 2*p + p + 3*p)*(5 - 1 - 3) to the form f + t*p**2 + d*p and give t. -48 Rearrange 90*y**2 + 96*y**2 - 1 - 2*y**3 - 205*y - 187*y**2 to the form b + m*y**3 + i*y + l*y**2 and give b. -1 Express 596*c + 171 - 94 - 77 as t*c + z and give t. 596 Rearrange (57*i**2 + 158*i**2 + 71*i**2)*(0*i + 0*i + 2*i)*(-i + 2 - 2) to z*i**4 + j + t*i**2 + p*i + l*i**3 and give z. -572 Express 3*q + 8*q - 17*q - q - 3*q + 2*q + (4*q - 7*q + 0*q)*(8 - 2 - 1) as z + g*q and give g. -23 Rearrange -10*b + 81*b - 87*b to the form c*b + u and give u. 0 Express -4789*c + 4789*c + 777*c**2 - 2655*c**2 in the form d*c**2 + u*c + m and give d. -1878 Express (3 - 3 + m)*(8*m + 570 - 554 + 0*m) as x*m + n + d*m**2 and give x. 16 Express (-18 - 21*b**3 + 5 + 23 + b**4)*(4 - 1 - 2) + 2*b**4 + 0*b**3 + 0*b**3 in the form z*b**2 + w + u*b**4 + v*b + n*b**3 and give w. 10 Rearrange -9*q + 3*q - 9*q - 27*q + 9 - q to the form i*q + g and give i. -43 Rearrange 21*r + r**4 - 5*r + 0*r - 6*r - 3*r**3 - 7*r - 1 to the form h + u*r + o*r**2 + m*r**4 + i*r**3 and give h. -1 Rearrange ((-94 - 24*x + 94)*(-1 + 0 + 3) + 2*x + 2*x - 6*x)*(0*x + x**2 + 0*x) - 5*x**3 + 13*x**3 - x**3 to the form d + k*x + a*x**3 + b*x**2 and give b. 0 Express -706*t - 102*t - 362*t as k*t + c and give k. -1170 Rearrange (-4*m + 3*m - 8*m)*(-3*m + 3*m + m + (-2 + 3 - 3)*(1 - m - 1) - 1 + 1 - m - 6 - 15*m + 36*m - 18*m) to l*m + r*m**2 + n and give l. 54 Rearrange (z**2 - 7*z**2 - 3*z**2)*(41*z**2 + 979*z - 979*z) to the form y*z**3 + x*z**2 + b*z**4 + m + p*z and give b. -369 Express (1 - 1 - 2*v)*(4 - 4 + 4)*(2 + 9 + 3)*(5*v**2 + 2*v**2 - 3*v**2) as q*v**3 + a*v**2 + o*v + f and give q. -448 Express (-82 - 26 + 334)*(-2 - 2 + 2)*(3*d + d - 3*d)*(0 - 1 + 3) as g + v*d and give v. -904 Express -96*t**3 - t + 3 - 3 - 51*t**2 + 50*t**2 - 6*t as h + x*t**2 + o*t**3 + n*t and give n. -7 Express -69*n + 22*n - 34*n + (2 - 2 + n)*(4 + 1 - 3) as f*n + v and give f. -79 Rearrange (5*v**2 - 2*v**2 - 4*v**2)*(108 + 8*v - 54 - 33) to m*v + c*v**2 + w*v**3 + i and give w. -8 Rearrange -28*f + 8*f + 2*f + 34 + 4*f + 11*f to the form u*f + j and give j. 34 Express (0*n**3 + 2*n**3 + 0*n**3)*(5 - 6 + 3) - 3*n**2 + 3*n**2 - 2*n**3 - 189*n**3 - 66*n**3 + 75*n**3 as i*n + o*n**2 + b + t*n**3 and give t. -178 Rearrange 16*p**3 + p - 135 + 3*p**2 - 4*p**2 + 136 to x*p**2 + j + a*p**3 + t*p and give t. 1 Rearrange ((0 - 3 + 2)*(2 - 2 + 1) - 5 - 2 + 3 - 3 + 2 + 0)*(135*k - 276*k - 4*k) to c + q*k and give q. 870 Express (-2*u - 1 + 0*u - u)*(-71*u**2 - 55*u**2 - 74*u**2) + 4*u**3 + 0*u**3 - 3*u**3 in the form q + k*u**3 + d*u**2 + g*u and give d. 200 Express -s**2 - 135*s**3 - 627 + 3*s + 311 + 316 as v + r*s**3 + t*s**2 + n*s and give n. 3 Rearrange (108*f + 304 - 304)*(17 - 7 - 6*f - 8) to l*f**2 + a + c*f and give c. 216 Express -90*i - 681*i**2 + 182*i - 92*i as o + h*i**2 + u*i and give h. -681 Express -2 + 113*v + 3 + 12*v + 6 - 10 in the form t*v + n and give t. 125 Express (-4 + 0 - 1)*(1 + 1 + 0)*(-2*t - 2 + 2)*(14 - 1 + 19) in the form m + x*t and give x. 640 Express -269*s + 475*s - 2609*s as a*s + t and give a. -2403 Rearrange -17*j**2 + 10*j**2 - 3*j**4 - j - 31*j**3 + 7*j**2 to i + h*j**3 + r*j**4 + u*j**2 + f*j and give f. -1 Express 3*v**3 - v**3 + 0*v**3 + (-3 + 2 + 2)*(3*v + 12*v**3 - 3*v) - 71*v**2 + 54*v**3 + 71*v**2 - 3 + 3 - 2*v**3 as d*v + n + l*v**2 + t*v**3 and give t. 66 Rearrange (2*x + 2*x - 5*x)*(-5 + 4 + 3) + x - x + 4*x + 43*x - 13*x - x - 10*x to h + n*x and give n. 21 Rearrange (1 - 1 - 1)*(-3 + 0 + 2)*(-65*c**2 + 67*c**2 - 165*c**2) to the form s*c + x*c**2 + b and give x. -163 Rearrange (-2*q**2 + 3*q**2 + 5*q**3 - q**2)*(-12*q + 190 - 94 - 98) to the form w*q**2 + d*q**3 + o*q**4 + k*q + s and give o. -60 Rearrange -5 + 314*u + 24*u**2 - 314*u + (4 - 3 + 0)*(3*u**2 - 4*u**2 - u**2) + u**2 + 4*u**2 - 2*u**2 to the form b + x*u + f*u**2 and give f. 25 Rearrange (-1 - 1 + 12)*(-r + r - 4*r)*(1 - 3 - 5)*(4*r - r - r) to u + o*r + t*r**2 and give t. 560
Let s = -0.61 + 4.31. What is s rounded to 0 decimal places? 4 Let u = 0.156 - 0.156262. What is u rounded to five dps? -0.00026 Let d = 585 + -585.00409. Round d to four decimal places. -0.0041 Let u = -852 + -378. What is u rounded to the nearest one hundred? -1200 Let f = 7.4 - 5. Let p = 3.11 - f. Round p to one decimal place. 0.7 Let y = -1.380122 - -1.38. What is y rounded to five dps? -0.00012 Let c = 22.47 + -24. What is c rounded to 1 dp? -1.5 Let v = -68.1 + 71. Let i = v + -2.9011. Round i to four dps. -0.0011 Let r = -0.21 + 0.29. Let m = -0.45 + r. Round m to one decimal place. -0.4 Let b = 0.002 + -0.212. Let x = b + 0.2056. Round x to three decimal places. -0.004 Let b = 2099.99021 + -2100. Let o = b - -0.01. What is o rounded to four decimal places? 0.0002 Suppose 5*b - 3*q = 10005, b - 3998 = -b + 2*q. Let t be ((-45)/6)/(9/b). What is t rounded to the nearest one hundred? -1700 Let t = -54.000006 + 54. Round t to five decimal places. -0.00001 Let b = 0.4 + -0.2. What is b rounded to 1 dp? 0.2 Let c = -85 + 81.72. Let s = c - 1.745. Let t = s - -5. What is t rounded to two decimal places? -0.03 Let b = -5.9 + 0.9. Let z = -5.7 - b. Let c = 0.69997 + z. What is c rounded to four dps? 0 Let q = -27.7 + 146.7. Let t = q - 119.0236. What is t rounded to three decimal places? -0.024 Let m = 55 - 116. What is m rounded to the nearest 10? -60 Let i = 434.24789 - -0.05211. Let o = i + -416. Round o to 0 decimal places. 18 Let w(n) = 1200*n**2 + 40*n. Let g(b) = b. Let c(o) = -200*g(o) + 5*w(o). Let a be c(-5). Round a to the nearest 100000. 200000 Let c = 0 + 0.1. Let o = c + -0.0999995. Round o to six decimal places. 0.000001 Let j = -283417759818194.6599913 - -283417740424969. Let t = j + 19393227. Let i = -1.34 + t. Round i to 6 dps. 0.000009 Suppose g = -1 - 0. Let j be 520001*g - (1 + -2). Round j to the nearest 100000. -500000 Let c(z) = 4075 + 9*z**3 - 4944 - 8*z**3 + 20869 + z**2. Suppose 0 = 5*k + 2*n - 10, 5*k = -2*n - 3*n + 25. Let q be c(k). Round q to the nearest 10000. 20000 Let s = -28 + 42. Let w = -13.99999964 + s. Round w to 7 decimal places. 0.0000004 Let j be 4/10 - 18/(-5). Suppose -j*q = -5 - 11. Suppose 0*s - 2480 = -q*s. What is s rounded to the nearest 100? 600 Let v = 1422803.999996 + -1422792. Let h = v + -12. What is h rounded to 6 decimal places? -0.000004 Let x = -129 - -78. Let i = -24 - x. Round i to the nearest ten. 30 Let w = 3 + -1. Suppose w*y - 3*y = -52884. Let v = -75884 + y. What is v rounded to the nearest ten thousand? -20000 Let y = -0.12000048 + 0.12. Round y to seven decimal places. -0.0000005 Let p(x) be the second derivative of 2*x**5 + x**4/3 + 2*x**3/3 + x**2 + 2*x. Let a be p(-2). Round a to the nearest one hundred. -300 Let m = 1.5 + -2.7. Let k = 99975.19978 - 99974. Let c = k + m. Round c to four dps. -0.0002 Let h = 571 - -303. Let w = h + -880.93. Let b = -7 - w. What is b rounded to two dps? -0.07 Let b = -1.24 - -2. Let n = b - 0.759947. Round n to five dps. 0.00005 Suppose o - 4969 = -1556. Let h = -6013 + o. What is h rounded to the nearest 1000? -3000 Let s = -0.49 + 0.490455. What is s rounded to 5 decimal places? 0.00046 Let g = 29.26 - 29. Let l = -0.3 - g. Let b = -0.5559 - l. What is b rounded to three dps? 0.004 Let x = 4 + -4.23. What is x rounded to one decimal place? -0.2 Let g = -16.8 - 1.2. Let p = 18.000004 + g. Round p to six dps. 0.000004 Let a = -235 - -62. Let y = 255 + a. Round y to the nearest 10. 80 Let w = -339 - -339.0000139. What is w rounded to five dps? 0.00001 Let r be (-2)/8*-134*-22406. Let f = r + 50601. Round f to the nearest 1000000. -1000000 Let m = 330.000000317 + -330. What is m rounded to 7 dps? 0.0000003 Suppose 8*a = 2*a. Let u(g) = -g**2 + 930. Let c be u(a). What is c rounded to the nearest 100? 900 Let m be -4 - -1 - (28*19 + -4). What is m rounded to the nearest ten? -530 Let o = 370252 + 2575685. Let n = -454063 - o. Round n to the nearest 1000000. -3000000 Let r(y) be the third derivative of -y**6/120 - 3*y**5/20 - y**4/3 - y**3/6 + 3*y**2. Let u be r(-7). Let s = 403 + u. What is s rounded to the nearest 100? 400 Let w = -13 + 15. Suppose w*v + 6715 + 10273 = -4*p, 4*p + 42488 = -5*v. Round v to the nearest 1000. -9000 Let d = 301825174 - 301825152.00000104. Let x = -22 + d. What is x rounded to seven decimal places? -0.000001 Let p = 1.1 + -1.068. Let n = -234201 + 234201.0320078. Let x = p - n. What is x rounded to 6 dps? -0.000008 Suppose 6 = -6*r + 8*r. Suppose 1906 = r*b - 884. Round b to the nearest one hundred. 900 Let a = 7 + 0. Let d = 6.99936 - a. What is d rounded to four dps? -0.0006 Let w = 293 - 242.8. Let d = -58 + w. Round d to the nearest integer. -8 Let y be (-7)/(-2) + (-7)/14. Let c be 1/3 - (-114104)/y. Let o = 178035 - c. Round o to the nearest one hundred thousand. 100000 Let n = 0.08 - -5.53. Let m = n + 0.19. Let q = m - 5.7923. Round q to 3 dps. 0.008 Let s = 595.9346 - 596. Let q = 0.058 + s. What is q rounded to three decimal places? -0.007 Let j = 0.1 - 0.1104. Round j to three dps. -0.01 Let r = 48 - 52.2. Let h = 0 + -4. Let t = h - r. Round t to one dp. 0.2 Let y = 13 - 12. Let l = y - 1.0000007. What is l rounded to 7 dps? -0.0000007 Let o = 313.00199 + -313. Round o to four decimal places. 0.002 Let h(o) be the third derivative of o**6/120 + o**5/5 - o**4/6 + 2*o**3 - 4*o**2. Let n be h(-11). What is n rounded to the nearest ten? 180 Let s = 118 + -117.64. Round s to one dp. 0.4 Let p = 0.062 - -4.438. What is p rounded to the nearest integer? 5 Suppose 0 = r - 52820 - 32186. Suppose 5*z = -v - v + r, 0 = -2*z - v + 34003. Round z to the nearest 1000. 17000 Let o = 113 - 30. Let c = -6 + o. Let f = 77.0000039 - c. What is f rounded to six decimal places? 0.000004 Let o = -44 + 17. Let w = 26.87 + o. Let x = -0.018 - w. What is x rounded to 2 dps? 0.11 Let k be 2911986/91 - (-4)/26. What is k rounded to the nearest 10000? 30000 Let c be 28/(9/((-918)/12)). Round c to the nearest 10. -240 Let r = 5.3 - 126.3. Let d = -250.9 + 135.6. Let n = r - d. What is n rounded to 0 decimal places? -6 Let j = 552 - 837. Let t be (160000/4)/(3/j). What is t rounded to the nearest 1000000? -4000000 Let o(m) = m**3 - 4*m + 3. Let n be o(2). Let l be (-98686)/21 + (-2)/n. What is l rounded to the nearest one thousand? -5000 Let w = 2 - 32. Let v = -30.1083645 + 0.1089845. Let k = v - w. Round k to 4 decimal places. 0.0006 Let s be 3 + 2/3*3. Suppose 0 = s*d - 15, 0 = 3*t + 2*d - 9. Let z be (-74)/(t - 998/1000). Round z to the nearest 10000. -40000 Let i(f) = -29*f + 6. Let x be i(-6). Suppose 0*p = 2*p - x. What is p rounded to the nearest 100? 100 Let x = -10 + 11.9. What is x rounded to zero decimal places? 2 Let n = -120.291 - -139.3. Let v = n + -19. Round v to two decimal places. 0.01 Let m = 1188.108 + -0.108. Let a = -1185.996 + m. Let k = 2 - a. Round k to two decimal places. 0 Let u(l) = -l - 5. Let r be u(-5). Suppose -2*j - n - 21995 = r, -2*j + 3*n - 22015 = -0*j. What is j rounded to the nearest 10000? -10000 Let m(p) = 2*p**3 - 5*p**2 - 7*p + 6. Let u be m(-6). Let b = -11782 - -5718. Let n = u - b. Round n to the nearest one thousand. 6000 Suppose 4*y = 3*h + 9900012, h + 3*y + 757375 = -2542616. Round h to the nearest one million. -3000000 Let o = 37 - 33.9. Round o to 0 decimal places. 3 Let d = 12.39161 + -12.461. Let s = d - -0.07. Round s to four decimal places. 0.0006 Let s = 3567948 - 2107203. Let w = 1030745 - s. What is w rounded to the nearest 100000? -400000 Let q = 18429 - 18436.0006. Let a = 7 + q. What is a rounded to four decimal places? -0.0006 Let o(v) be the first derivative of -2*v**2 + v - 3. Let q be o(-7). Suppose -i - 2*b - q - 6 = 0, -b = 5*i + 202. What is i rounded to the nearest ten? -40 Let o = 6.04 + -12.9. Let i = o - 0.14. Let q = 6.94 + i. What is q rounded to 1 decimal place? -0.1 Suppose -6 = -4*f + f. Suppose 396 = -y - y + f*d, -d - 2 = 0. Round y to the nearest one hundred. -200 Let u = -2.4349 - -4.435. Let c = 2.4 + -0.4. Let q = u - c. Round q to four decimal places. 0.0001 Let y = 1.1 - 1.10004. What is y rounded to five dps? -0.00004 Let y = 1.946 - 1.66. Let t = y - 0.069. Round t to 2 decimal places. 0.22 Let r be (-3 - (4 + -12)) + -705. What is r rounded to the nearest one hundred? -700 Let s = -1188 + 1197.904. Let o = s + -10. Round o to 2 decimal places. -0.1 Let q = -13116 + 13113.6948. Let r = 24 + -26.3. Let p = r - q. What is p rounded to 3 dps? 0.005
Let n be (-275)/(-99) + (-4)/(-18). Suppose 17 = n*a + 5. What is the units digit of a? 4 Suppose 3*n + 40 = 4*d, -5*n + 0*n + 2*d = 48. Let s = n + 15. What is the units digit of s? 7 Let r(u) = -u**3 + 7*u**2 + u - 5. Let j be r(7). Suppose j = -q + 22. What is the units digit of q? 0 Let s(q) = -q**3 + 11*q**2 - q + 14. Let z be s(11). Let g = z - -4. What is the units digit of g? 7 Suppose k - w = 2 - 0, -2*k = w - 13. Suppose j = t - 1, -2*j + k*t - 11 = j. Suppose 0 = -3*q + 3 + j. What is the units digit of q? 2 Let b(q) = 1 + 4 - 8*q - 3 + 6*q**2 + 9*q. What is the tens digit of b(2)? 2 Let v(d) = 7*d + 3. Let s(b) = 15*b + 7. Let i(m) = 4*s(m) - 9*v(m). Let y be i(-7). Suppose 0 = 4*g - 6*g + y. What is the tens digit of g? 1 Suppose 9 = 4*j - j. What is the units digit of (j/(-4))/((-12)/48)? 3 Let r(g) = -g**2 + 3*g. Let d be r(3). Suppose d = -4*u + 9*u - 50. What is the units digit of u? 0 Suppose 3*h - 12 = 0, h - 29 = -2*a + a. What is the units digit of a? 5 Let h = -3 + 36. Suppose -5*n + 24 = -2*b, -3*n - 2*b - 9 = -h. What is the units digit of n? 6 Let i(v) = v**3 - 10*v**2 - 13*v - 29. What is the tens digit of i(12)? 0 What is the units digit of (-20)/30*6*-1? 4 Let i(k) = -2*k - 2. Let l be i(-2). Suppose -l*u + 50 = 3*u. What is the tens digit of u? 1 Suppose 3*a + 207 = 3*u, -u + 5*u = -3*a + 241. What is the units digit of u? 4 Let c = -2 + 5. Suppose l = 7 - c. What is the units digit of l? 4 Suppose -4 = s + 3*l, s + 3*s = 2*l + 12. Let b be (-15 + 5)*52/(-10). Suppose s*j - 3*i - 12 = 0, -4*j - i - 14 + b = 0. What is the units digit of j? 9 Let j(x) = -53*x**3 + 3*x**2 - x - 1. Let g be j(1). Let c(f) = -3*f + 3. Let v be c(4). What is the units digit of g/(-6) - 3/v? 9 Suppose -2*x = -4*l - 8, 5*l + 9 + 11 = 5*x. Suppose 4*z + 5*c + 70 = 0, 0 = x*z + c - 3*c + 84. Let n = -14 - z. What is the units digit of n? 6 Let d = 9 - 5. Suppose o - 70 = -d*o. Suppose 4*h = o + 14. What is the units digit of h? 7 Suppose -111 = -3*x + 3*c, -x - 5*c + 13 = -0*x. What is the tens digit of x? 3 What is the hundreds digit of 254/(-6 - -4)*-1? 1 Let r = 32 + 45. What is the tens digit of r? 7 Suppose 2*r + 0*r + z - 25 = 0, -z - 35 = -4*r. Suppose 0*f - f - 7 = -c, 0 = 5*f - r. What is the units digit of c? 9 Let z = -4 + 1. Let k(j) = j. Let h(r) = 5*r - 1. Let a(n) = -h(n) + 3*k(n). What is the units digit of a(z)? 7 Let z = -6 - -8. Suppose 2*x + 41 = 5*l - z*l, 2*l + 5*x = 21. What is the tens digit of l? 1 Let y be (-2)/(6/15) - 0. Let w = y + 16. What is the units digit of w? 1 Let d(f) be the second derivative of f**5/20 - 3*f**4/4 + 3*f**3/2 - 3*f**2/2 + 2*f. What is the units digit of d(8)? 5 Let a be (-8)/(-12) + 2/(-3). Suppose 9*h - 7*h - 16 = a. What is the units digit of h? 8 Suppose 2*r - 242 = 54. What is the hundreds digit of r? 1 Let v = -11 - -12. Let g = 11 - v. What is the units digit of g? 0 Let u(r) = 5*r + 8. What is the tens digit of u(14)? 7 Suppose 138 = 6*v - 3*v. What is the units digit of v? 6 Let k = -9 - -4. Let a = k - -9. What is the units digit of (3/2)/(2/a)? 3 Let k = 33 - 23. Let a be 16/k*(-20)/(-8). Suppose -a*w - 12 = -36. What is the units digit of w? 6 Let h = 46 + -39. What is the units digit of h? 7 Suppose -4*u = -4*c - 216, u = 4*u + 3*c - 138. What is the units digit of u? 0 Let r(i) be the second derivative of i**5/20 - i**4 + 17*i**3/6 - 11*i**2/2 - 10*i. What is the units digit of r(11)? 5 Suppose -9*r + 4*r + 22 = -4*b, 2*r + 3*b + 5 = 0. Suppose 4*c + 2*x - 95 = 1, r*c = 3*x + 56. What is the tens digit of c? 2 Let q(j) = -j**3 - 8*j**2 - 6*j + 21. What is the units digit of q(-10)? 1 Let w(p) = p + 3. Let y be w(8). Suppose -z = -2*v - y, 5*z + 1 - 14 = -4*v. What is the units digit of z? 5 Let p = 42 - 30. What is the units digit of p? 2 Let l(h) = h**2 + 12*h + 9. Let a be l(-13). Suppose s + 3*s - 40 = -5*y, 2*s + a = y. What is the tens digit of y? 1 Suppose 2*f - 4*t - 120 = -0*f, 56 = f + 2*t. What is the units digit of f? 8 Let y(l) = 14*l**3 + 17*l**2 - 26*l - 17. Let c(n) = 5*n**3 + 6*n**2 - 9*n - 6. Let s(a) = -11*c(a) + 4*y(a). What is the units digit of s(-3)? 4 Let z(h) = h**2 - 3*h - 5. What is the units digit of z(5)? 5 Suppose -5*m - 405 = -5*o, -o - 153 = -3*o - m. Suppose -l + 2*l + p = 21, -4*l + o = p. What is the tens digit of l? 1 Let i = -16 - -10. Let d be (-1)/(-2)*i - -2. What is the tens digit of (21/(-3) - d)*-2? 1 Let b(d) = -23*d**2 + 3*d + 2 + 23*d**2 - d**3. What is the units digit of b(-2)? 4 Let o(l) = -19 - 4*l - 5*l - 15*l**2 - l**3 + 6*l. What is the units digit of o(-15)? 6 Let m = 22 - -26. Suppose 4*k = 3*n + 89, 0*n = 3*k + 4*n - m. Suppose k = 5*x + 5*a - 15, 2*a + 22 = 2*x. What is the units digit of x? 9 Let a = 5 + -3. Let j = a - -7. What is the units digit of j? 9 Let h(c) = c**3 - 14*c**2 + 17*c - 4. What is the units digit of h(13)? 8 Suppose 41 = -4*r + 9. Let b = r - -19. What is the tens digit of b? 1 Let j = 149 + -89. What is the units digit of j? 0 Let o(y) = 2*y**3 - y**2 + y. Let t be o(1). Let l = t - -26. What is the units digit of l? 8 Suppose -59 - 83 = -3*s - 4*x, -2*x = -4*s + 204. What is the units digit of s? 0 Let g = 76 - 109. Let s = g - -52. What is the tens digit of s? 1 Suppose -i + 5*i = 84. What is the tens digit of i? 2 Let c(g) = -g**3 + 4*g**2 - g + 3. Let l be c(4). Let q be 8 + 0 + 3 + -6. Let z = l + q. What is the units digit of z? 4 Let g(n) = -n - 16. Let d(q) = -3*q - 33. Let l(c) = 2*d(c) - 5*g(c). What is the tens digit of l(0)? 1 Let i = -4 + 4. Let z be 1 + (i - 0) - -7. Suppose 0 = 2*y + 8, -24 = 4*f - z*f - 2*y. What is the units digit of f? 8 Suppose -4*f = -y - 10, 3*y - 5*f - 2 = 3. Let g = y - 16. What is the tens digit of g/(-30) - (-128)/10? 1 Let j be (-4)/((-8)/10) + -2. Suppose -i + 5 + j = 0. What is the units digit of i? 8 Let s = 1 - -3. Suppose -t - 18 = s*w, t + 3*t = 5*w + 33. Suppose -t*x + 23 = 3*x - a, x + 1 = 3*a. What is the units digit of x? 5 Let g = -6 - -9. Suppose 7*k = g*k + 8. What is the units digit of k? 2 Let i = -13 - -13. Suppose i = -4*g - 3*x + 109, g + 0*g = -4*x + 11. What is the units digit of g? 1 What is the tens digit of 145 + 1 - (-3 - -1)? 4 Let x(t) = -5*t - 2 - 8*t - 1. Let w be x(-3). Suppose -w = -v - 3*v. What is the units digit of v? 9 Suppose -c - 555 = -4*m, -7*c - 705 = -5*m - 2*c. What is the tens digit of m? 3 Let y = -3 + 8. Suppose f - 56 = -5*g, -2*f = -5*g - y*f + 58. What is the tens digit of g? 1 Let n = 12 - 5. Let z = n - -2. What is the units digit of z? 9 Let l(m) = -m**2 - 9*m - 4. Let q be l(-8). Suppose 2*k + 7 = -k + 4*c, q*k + c + 3 = 0. What is the units digit of 2*(4*k)/(-1)? 8 Let b = 3 - 3. Suppose 2*n = -b*n + 12. What is the units digit of n? 6 Suppose -2*c = -3*o + 747, 0 = 4*o + o + 3*c - 1245. What is the units digit of o? 9 Let y(h) = h - 1. Let f be y(3). Suppose 5*w - f*w - 42 = 0. Let c = -8 + w. What is the units digit of c? 6 Let n be (-185)/(-15) + (-1)/3. Suppose 0 = -l - 1 + n. What is the tens digit of l? 1 Suppose -3*p = w - 3, -p - 2*w - 5 = -6*p. What is the tens digit of 21/6*(5 + p)? 2 Suppose g + 9 = 2. Let b = g + 21. What is the tens digit of b? 1 Let n(h) = h**2 + 5 - 3*h + 1 - 7. What is the units digit of n(7)? 7 Suppose 0 = 4*w - 3*u + 4*u - 757, 2*u - 2 = 0. Let h = -100 + w. Suppose -4*s = -h + 21. What is the tens digit of s? 1 Suppose -2 = -u + 3. Suppose 0*d + 26 = 5*d + 3*b, -4*b + 20 = 3*d. Suppose i + 83 = u*n, d = i + i. What is the units digit of n? 7 Suppose 5*r - 131 = l, 0 = -0*r + 5*r + 3*l - 127. What is the units digit of r? 6 Let u be (-1)/((-10)/(-4) + -3). Let i(s) = 12*s + 2. What is the units digit of i(u)? 6 Let y(j) = 3 - 6*j**2 - 9*j + 3*j**2 + 2*j**2 + 2. What is the tens digit of y(-7)? 1 Let g = -3 - -12. Suppose 0 = 2*i + i - g. What is the units digit of i? 3 Let p(v) be the second derivative of v**3/6 + 7*v**2/2 - 2*v. Let m be p(-7). Suppose m = q - 1. What is the units digit of q? 1 What is the hundreds digit of 3/(12/944) + 1 + 2? 2 Suppose -5*n = -5, 4 = z - 2*n + 1. Suppose 4*x = z*x - 17. What is the units digit of x? 7 Suppose 3*h - 78 = h. What is the units digit of h? 9 Suppose 0 = -8*w + 3*w + 20. Let u be 10/w - (-2)/(-4). What is the units digit of ((-6)/(-5))/(u/5)? 3 Let w = -6 - -10. What is the tens digit of (-300)/(-28) - w/(-14)? 1 Let d(t) = 4*t**2 - 8*t + 5. What is the units digit of d(5)? 5 Let b(j) = j**2 - 5*j + 4. Let w be b(6). What is the tens digit of w/5 - (-33)/1? 3
Let f be 7 - 17 - (-2 - 8). Let m(c) be the second derivative of 0 - 1/36*c**4 + 1/6*c**2 - 6*c + f*c**3. Solve m(g) = 0. -1, 1 Let u(v) be the third derivative of -v**8/1680 + 71*v**7/1050 - 51*v**6/25 - 108*v**5/25 + 280*v**2 - 2. Factor u(o). -o**2*(o - 36)**2*(o + 1)/5 Let q = 60/73 + -201/511. Solve q*d**2 + 0*d + 3/7*d**3 + 0 = 0 for d. -1, 0 Let j(v) be the third derivative of -5*v**2 + 0 + 1/9*v**5 - 13/18*v**4 + 0*v - 4/3*v**3. Factor j(i). 4*(i - 3)*(5*i + 2)/3 Let p(k) be the third derivative of 1/15*k**6 - 2/105*k**7 + 0*k**4 + 0*k**5 + 0*k + 0*k**3 + 7*k**2 + 0. Find r such that p(r) = 0. 0, 2 Let i(c) be the second derivative of -5/3*c**4 + 24*c + 20/3*c**3 + 0*c**2 + 1/6*c**6 + 0 - 1/2*c**5. What is s in i(s) = 0? -2, 0, 2 Let k(r) = -5*r + 42. Let y be k(6). Let z(t) be the first derivative of -5 - 36*t**2 - 45*t**3 - y*t - 75/4*t**4. Solve z(p) = 0 for p. -1, -2/5 Let f(t) be the first derivative of -t**5/25 - 4*t**4/5 - 46*t**3/15 + 72*t**2/5 - 81*t/5 + 300. Solve f(a) = 0. -9, 1 Suppose 5*d - 2 - 3 = 0. Let j(c) = c**2 - c + 1. Let w(t) be the first derivative of -4*t**3/3 + 3*t**2/2 - 5*t + 3. Let k(g) = d*w(g) + 5*j(g). Factor k(v). v*(v - 2) Let w(m) be the first derivative of -m**6/15 + 3*m**5/10 - m**4/6 - m**3 + 2*m**2 - 12*m - 15. Let u(t) be the first derivative of w(t). Factor u(n). -2*(n - 2)*(n - 1)**2*(n + 1) Let v(t) = t**3 + 5*t**2 + 8*t + 2. Let j(u) = u + 1. Let f(c) = -5*j(c) + v(c). Let r be f(-4). Solve r - 4*p**2 - 8*p + 1 + 2 + 8*p**2 = 0 for p. 1 Let f(t) be the second derivative of t**6/45 - 2*t**5/3 + 3*t**4 - 52*t**3/9 + 17*t**2/3 - 38*t + 1. Suppose f(a) = 0. Calculate a. 1, 17 Suppose 5*u - 3 = 4*m - 13, 5*u = m - 10. Suppose m*i + 3*i - 9 = 0. Factor 0*l**2 + i*l**2 - 47*l + 35*l + 12. 3*(l - 2)**2 Let n(t) = -t**2 + 8*t + 15. Let r be n(8). Suppose r*q - 3*q = 36. Factor 0*c**q + 2/15 + 0*c + 2/15*c**4 - 4/15*c**2. 2*(c - 1)**2*(c + 1)**2/15 Let j be (2 + -3)/(-3 + 10/4). Suppose -45*c**3 + 5*c**4 - 32*c + 91*c**2 + 132*c - 16*c**j + 25*c = 0. What is c? -1, 0, 5 Let y be 18/10 + (-17 - -17). Let d = 256/5 - 51. Factor d*b**3 + y*b + 6/5*b**2 + 0. b*(b + 3)**2/5 Let y(p) be the first derivative of -5*p**3 + 55*p**2/2 - 30*p + 147. Factor y(s). -5*(s - 3)*(3*s - 2) Let x(w) = -w**3 - 28*w**2 - w - 24. Let l be x(-28). Let p(k) be the first derivative of 0*k + 0*k**2 + 5 + 3/5*k**5 - 3*k**4 + l*k**3. Factor p(s). 3*s**2*(s - 2)**2 Let h(m) be the first derivative of -1/25*m**5 + 6/5*m**3 + 11 - 1/5*m**4 + 7/5*m - 2*m**2. Find z, given that h(z) = 0. -7, 1 Let h(x) be the third derivative of -5*x**8/336 + 23*x**7/210 + x**6/12 + 73*x**2 + 1. Factor h(b). -b**3*(b - 5)*(5*b + 2) Let i(q) be the second derivative of 5*q**7/378 - 11*q**6/216 - 14*q**5/135 - q**4/18 + 11*q**2/2 - 6*q. Let h(a) be the first derivative of i(a). Factor h(p). p*(p - 3)*(5*p + 2)**2/9 Let i be (-3)/(-4 - -3) - 7. Let v be 0 + 4 + 8 + i. Determine q, given that 0*q**2 + v*q**4 + 0 - 7/2*q**5 + 0*q - 2*q**3 = 0. 0, 2/7, 2 Let d(k) be the second derivative of -k**7/210 + k**5/20 - k**4/12 + k**2 + 5*k. Let m(p) be the first derivative of d(p). Let m(l) = 0. What is l? -2, 0, 1 Suppose 0 = 5*d - 3*y - 30, -2*d - 3*d - y + 10 = 0. Suppose 3*r**4 + 3*r**3 - 6*r**5 - 7*r**2 + r + 4*r**2 + 12*r**d - 10*r = 0. Calculate r. -1, 0, 1, 3/2 Let p = -710 + 710. Let i(k) be the first derivative of 5*k**3 + 3*k**2 + 3*k**4 + 3/5*k**5 + 7 + p*k. Let i(h) = 0. What is h? -2, -1, 0 Let c(t) = -10*t - 58. Let h = 114 - 120. Let i be c(h). Suppose 1/3*k**i - 1/3*k**4 + 1/3*k - 1/3*k**3 + 0 = 0. Calculate k. -1, 0, 1 Let y = -57/109 + 845/1199. Let r = 6384/11 - 580. Factor 6/11*t - y*t**3 + r + 0*t**2. -2*(t - 2)*(t + 1)**2/11 Let u(b) be the second derivative of 0*b**2 + 0 - 7*b - 5/48*b**4 + 5/12*b**3. Factor u(q). -5*q*(q - 2)/4 Let o(p) be the third derivative of -p**7/630 - p**6/45 + 43*p**5/180 - 29*p**4/36 + 4*p**3/3 + 293*p**2. Find x such that o(x) = 0. -12, 1, 2 Factor -130*q + 11*q**2 + 44 - 4 - 46*q**2. -5*(q + 4)*(7*q - 2) Let p = 1481 - 48877/33. Let n = p + 107/66. Solve n*j**2 - 3*j - 9/2 = 0. -1, 3 Let z(x) be the second derivative of -2*x**7/105 + 7*x**6/75 - x**5/25 - 11*x**4/30 + 4*x**3/15 + 4*x**2/5 - 4*x - 1. Let z(o) = 0. Calculate o. -1, -1/2, 1, 2 Let w(m) = 9*m**4 - 7*m**3 - 78*m**2 - 44*m + 21. Let i(r) = -r**4 - r**3 + 2*r**2 - 1. Let p(o) = -3*i(o) + w(o). Suppose p(c) = 0. Calculate c. -2, -1, 1/3, 3 Let x = 130 - 128. Factor -35*i**2 - 4 + 11*i**x - 2*i + 14*i**2 + 12*i**2. 2*(i - 2)*(i + 1) Let v(j) be the first derivative of -j**8/280 - 13*j**7/420 - j**6/45 + 2*j**3 - 18. Let o(l) be the third derivative of v(l). Find i, given that o(i) = 0. -4, -1/3, 0 Let d = -127 - -130. Let y(z) be the second derivative of -1/48*z**4 + 0 + 5*z - 9/8*z**2 - 1/4*z**d. What is p in y(p) = 0? -3 Let s(r) be the second derivative of -12/5*r**5 - 14/15*r**6 + 0*r**2 + 0*r**3 + 4/3*r**4 + 45*r + 0. Factor s(n). -4*n**2*(n + 2)*(7*n - 2) Let s(h) be the first derivative of 3/2*h**4 - 6/5*h**5 - 16 + 21/2*h**2 + 6*h - 1/2*h**6 + 8*h**3. Factor s(x). -3*(x - 2)*(x + 1)**4 Let v(b) be the first derivative of 7*b**6/24 + 23*b**5/20 - 4*b**4 - 5*b**3/3 - 83. Find c such that v(c) = 0. -5, -2/7, 0, 2 Factor -32/3*k + 4/3*k**4 - 4/3*k**3 - 40/3*k**2 + 0. 4*k*(k - 4)*(k + 1)*(k + 2)/3 Suppose 3*t + 2 = 14. Suppose 2*w + t*r = 8, -6*w = -5*w + 4*r - 8. Factor w + 1/2*o**4 - o**3 - 1/2*o**2 + o. o*(o - 2)*(o - 1)*(o + 1)/2 Let c = -10 - -9. Let s be c/((-45)/57) - 3/5. Factor -2*i - 2/3*i**3 + 2*i**2 + s. -2*(i - 1)**3/3 Suppose 3*c - z = 4*z - 24, z = 0. Let s(d) = d**2 + 9*d + 11. Let t be s(c). Factor -2*i**5 + 3*i**3 + 0*i**t - i**3 - 4*i**4 + 2*i**2 + 2*i**4. -2*i**2*(i - 1)*(i + 1)**2 Let p = 1047 - 1045. Let 0*c**p + 0 + 0*c**3 + 2/5*c**5 + 0*c - 4/5*c**4 = 0. What is c? 0, 2 Let m = -893 - -898. Let l(u) be the third derivative of 1/2*u**3 - u**2 + 0*u**m + 0*u + 3/16*u**4 - 1/80*u**6 + 0. Solve l(s) = 0 for s. -1, 2 Suppose 4*h = 3*j + 102, 3*h - 7*h + 94 = j. Determine d, given that -11*d + 5*d - 2*d**2 - h*d**4 + 6*d**3 + 22*d**4 + 4 = 0. -1, 1, 2 Factor 2392*k**2 - 2*k - 1192*k**2 - 24 - 1198*k**2. 2*(k - 4)*(k + 3) Let f be (-9)/(-2) + (-5)/10. Let t be (f/(-3))/(6/(-108)). Factor -t*x - 36 + 8*x**2 - 21*x**2 + 6*x**2 + 3*x**2. -4*(x + 3)**2 Suppose 4*w - 5*v - 123 = 0, 2*w + w + 2*v - 98 = 0. Let q = 35 - w. Factor 0*x**3 - 3*x**q + x**3 + 2*x**4. 2*x**3*(x - 1) Let n(f) be the second derivative of -f**4/20 + f**3/5 + 36*f**2/5 - 94*f - 2. Factor n(a). -3*(a - 6)*(a + 4)/5 Let n = -11 - -8. Let r(m) = -2*m**2 + 6*m + 5. Let s(b) = -3*b**2 + 7*b + 6. Let h(c) = n*s(c) + 4*r(c). Factor h(t). (t + 1)*(t + 2) Let c = 22563/11 + -2051. Solve 12/11*l**4 - 18/11*l - 28/11*l**3 + 32/11*l**2 - c*l**5 + 4/11 = 0. 1, 2 Let z(g) be the second derivative of -g**4/18 - 7*g**3/9 - 35*g. Factor z(b). -2*b*(b + 7)/3 Let k(h) = h**2 - 13*h + 14. Let s be k(12). Suppose 34 = s*g + 30. What is t in -2/9*t**3 + 2/9*t**4 + 0 + 2/9*t - 2/9*t**g = 0? -1, 0, 1 Let n(o) be the second derivative of 1/150*o**6 - 1/12*o**4 + 3/100*o**5 - 1/210*o**7 + 0*o**2 + 0 + 1/15*o**3 - 14*o. Factor n(j). -j*(j - 1)**3*(j + 2)/5 Let z(l) be the third derivative of l**7/70 + l**6/20 - l**5 + 3*l**4 - 38*l**2. Suppose z(m) = 0. Calculate m. -6, 0, 2 What is w in 7*w**2 + 49*w + 1/3*w**3 + 343/3 = 0? -7 Let d(m) be the second derivative of 0*m**4 + 1/80*m**5 + 0*m**6 + 0*m**3 - 1/168*m**7 + 0*m**2 + 16*m + 0. Suppose d(j) = 0. What is j? -1, 0, 1 Let m(r) = 20*r**3 + 30*r**2 - 19*r - 9. Let a(n) = 6*n**2 - 3*n + n**3 - 5*n**3 - 2 + 8*n**3 - n. Let b(h) = 11*a(h) - 2*m(h). Factor b(q). 2*(q - 1)*(q + 2)*(2*q + 1) Let h(i) be the second derivative of i**4/9 + 2*i**3/3 + 4*i**2/3 - 13*i. Solve h(v) = 0. -2, -1 Let j(v) be the first derivative of 0*v**3 + 0*v - 27 + 5/14*v**4 + 2/35*v**5 + 0*v**2. Solve j(f) = 0. -5, 0 Factor 21*h**2 - 43*h + 1/3*h**3 + 65/3. (h - 1)**2*(h + 65)/3 Let h(b) be the first derivative of b**5/20 + 5*b**4/16 + b**3/2 - b**2/2 - 2*b + 459. Suppose h(m) = 0. Calculate m. -2, 1 Let i = -163/5 - -509/15. Solve i - 2/9*b - 2/9*b**2 = 0. -3, 2 Solve 2*m - m**3 - 148 + 156 + 8*m + m**2 = 0 for m. -2, -1, 4 Let f = 27 + -39. Let p(v) = -v - 9. Let c be p(f). Factor 12*w - 3*w**2 + c - 3 - 9. -3*(w - 3)*(w - 1) Suppose -2*k + 2 = u, 5*k = 2*u - 0*u + 14. Let n(l) = 4*l**2 - 2*l + 1. Let g be n(1). Factor -b**2 - 5*b**2 + 3*b**k + 4 - 3*b**g + 4*b**3. (b - 2)**2*(b + 1)
Calculate prob of picking 2 j when two letters picked without replacement from {p: 2, b: 7, j: 3}. 1/22 Calculate prob of picking 1 w and 3 d when four letters picked without replacement from {d: 8, m: 10, w: 1}. 14/969 What is prob of picking 1 j, 1 w, and 1 k when three letters picked without replacement from {j: 1, k: 1, n: 1, w: 2, m: 2, l: 1}? 1/28 Three letters picked without replacement from {o: 4, c: 3, y: 5, s: 7}. What is prob of picking 2 y and 1 c? 10/323 What is prob of picking 3 d when three letters picked without replacement from {d: 4, s: 5, g: 6}? 4/455 Calculate prob of picking 1 q and 1 n when two letters picked without replacement from fqloknnl. 1/14 Calculate prob of picking 2 n and 2 q when four letters picked without replacement from {p: 1, b: 2, e: 2, n: 1, q: 1, k: 1}. 0 Four letters picked without replacement from {p: 1, i: 11}. What is prob of picking 3 i and 1 p? 1/3 What is prob of picking 1 i, 1 c, and 1 y when three letters picked without replacement from {y: 4, h: 1, c: 2, i: 1, f: 1}? 2/21 Three letters picked without replacement from {a: 3, j: 12}. What is prob of picking 1 j and 2 a? 36/455 What is prob of picking 2 u, 1 y, and 1 b when four letters picked without replacement from nusybnslbubb? 4/495 Calculate prob of picking 1 r and 1 m when two letters picked without replacement from {r: 3, t: 3, m: 3, g: 3}. 3/22 Calculate prob of picking 1 j and 3 q when four letters picked without replacement from qrqjqqerq. 5/63 Calculate prob of picking 1 d and 1 l when two letters picked without replacement from adluf. 1/10 Four letters picked without replacement from tnfftnfffffttfnf. Give prob of picking 3 n and 1 t. 1/455 What is prob of picking 2 u and 1 c when three letters picked without replacement from {u: 11, c: 2}? 5/13 Four letters picked without replacement from aahauhh. Give prob of picking 1 h, 1 u, and 2 a. 9/35 Three letters picked without replacement from {o: 2, r: 3, a: 10}. Give prob of picking 2 o and 1 a. 2/91 Three letters picked without replacement from zezztxztqz. Give prob of picking 1 e and 2 t. 1/120 What is prob of picking 2 x when two letters picked without replacement from xuuuxu? 1/15 What is prob of picking 2 s and 2 t when four letters picked without replacement from {t: 7, s: 2}? 1/6 What is prob of picking 1 j, 1 m, and 1 i when three letters picked without replacement from mnitjmm? 3/35 Two letters picked without replacement from ffxffxfxxffx. What is prob of picking 2 x? 5/33 Two letters picked without replacement from mmmhmmmmimmmmpmmh. What is prob of picking 1 p and 1 m? 13/136 What is prob of picking 2 t and 2 f when four letters picked without replacement from {t: 6, f: 7}? 63/143 What is prob of picking 4 o when four letters picked without replacement from oooooooooo? 1 Calculate prob of picking 2 c, 1 l, and 1 k when four letters picked without replacement from {c: 4, j: 2, f: 1, e: 4, k: 1, l: 6}. 1/85 Two letters picked without replacement from agllppll. What is prob of picking 1 a and 1 l? 1/7 Four letters picked without replacement from hihiiiiihihhi. Give prob of picking 3 i and 1 h. 56/143 Four letters picked without replacement from {k: 6, n: 2, j: 4, u: 1}. What is prob of picking 1 k, 2 n, and 1 u? 6/715 Three letters picked without replacement from abbkkbqqakbk. What is prob of picking 1 q and 2 a? 1/110 Two letters picked without replacement from ddndnndhhhddd. What is prob of picking 2 n? 1/26 Three letters picked without replacement from mvvmvv. Give prob of picking 1 m and 2 v. 3/5 Four letters picked without replacement from {u: 2, v: 1, z: 3, m: 1}. What is prob of picking 1 z, 1 u, and 2 v? 0 Three letters picked without replacement from {c: 10, y: 1, b: 5, v: 4}. Give prob of picking 1 v, 1 c, and 1 b. 10/57 What is prob of picking 2 e and 2 m when four letters picked without replacement from meememmm? 3/7 What is prob of picking 1 q and 1 c when two letters picked without replacement from emiecqmw? 1/28 Four letters picked without replacement from {h: 4, z: 3}. What is prob of picking 1 h and 3 z? 4/35 Three letters picked without replacement from ppyyfbaypypzbpbyy. Give prob of picking 1 f, 1 z, and 1 b. 3/680 Calculate prob of picking 1 v, 1 z, 1 y, and 1 j when four letters picked without replacement from {w: 4, v: 2, z: 3, y: 6, j: 4, t: 1}. 48/1615 Calculate prob of picking 2 y and 2 p when four letters picked without replacement from yyyyypypyyypyy. 15/91 Four letters picked without replacement from uuninnxxxbnunuxx. Give prob of picking 4 x. 1/364 Two letters picked without replacement from gggeegggggg. Give prob of picking 2 e. 1/55 Calculate prob of picking 3 k when three letters picked without replacement from orlokookrzrko. 1/286 Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {b: 1, x: 1, r: 1}. 1/3 Calculate prob of picking 2 y when two letters picked without replacement from yykkkkkkyky. 6/55 What is prob of picking 2 n when two letters picked without replacement from hyovynvynlov? 1/66 Calculate prob of picking 2 y and 1 n when three letters picked without replacement from {y: 4, u: 1, t: 4, e: 2, n: 1, i: 3}. 6/455 Four letters picked without replacement from {n: 4, m: 10, t: 1, x: 3}. Give prob of picking 4 n. 1/3060 Two letters picked without replacement from {t: 4, p: 1, z: 3}. What is prob of picking 2 t? 3/14 Two letters picked without replacement from {r: 4, a: 2, w: 4, p: 1, h: 3, u: 3}. Give prob of picking 1 w and 1 u. 3/34 Two letters picked without replacement from nynryyrnnynyryr. Give prob of picking 2 r. 2/35 Four letters picked without replacement from bbuuccbbbcbb. Give prob of picking 2 c, 1 u, and 1 b. 14/165 Calculate prob of picking 3 j and 1 z when four letters picked without replacement from {j: 1, s: 1, z: 3}. 0 Three letters picked without replacement from {u: 1, y: 3, k: 1, l: 6, z: 1}. Give prob of picking 1 k and 2 l. 3/44 Two letters picked without replacement from {a: 9}. Give prob of picking 2 a. 1 Three letters picked without replacement from wwtdtdtbwbeyde. What is prob of picking 2 w and 1 t? 9/364 Two letters picked without replacement from xommppmmmpmopmrpmox. What is prob of picking 2 m? 28/171 Four letters picked without replacement from {t: 4, c: 1, o: 1, i: 3, v: 2}. What is prob of picking 1 t, 1 c, 1 i, and 1 o? 2/55 Two letters picked without replacement from {s: 1, z: 4, r: 1, u: 1, p: 1}. What is prob of picking 1 r and 1 u? 1/28 Three letters picked without replacement from {l: 4, f: 1, c: 1, q: 1, b: 2}. What is prob of picking 1 q, 1 c, and 1 f? 1/84 What is prob of picking 1 l and 1 x when two letters picked without replacement from txaagaglxg? 2/45 Calculate prob of picking 1 g and 1 z when two letters picked without replacement from {g: 3, l: 2, z: 1, m: 3, o: 1, b: 2}. 1/22 What is prob of picking 1 k and 2 i when three letters picked without replacement from kikkkkik? 3/28 Three letters picked without replacement from jkhbz. What is prob of picking 1 b, 1 h, and 1 z? 1/10 Three letters picked without replacement from {f: 2, t: 4, m: 3}. What is prob of picking 2 m and 1 f? 1/14 Three letters picked without replacement from {g: 1, r: 1, d: 1, s: 2}. What is prob of picking 2 s and 1 r? 1/10 Three letters picked without replacement from {b: 2, w: 4, d: 2}. What is prob of picking 1 d and 2 b? 1/28 Calculate prob of picking 3 r when three letters picked without replacement from {b: 1, r: 3}. 1/4 Two letters picked without replacement from {x: 4, r: 4, a: 11}. Give prob of picking 2 a. 55/171 Calculate prob of picking 1 q and 2 k when three letters picked without replacement from {q: 1, k: 4, a: 2}. 6/35 Calculate prob of picking 4 e when four letters picked without replacement from {e: 9}. 1 Two letters picked without replacement from eeecceeeeeececeecec. Give prob of picking 1 e and 1 c. 26/57 Three letters picked without replacement from {d: 9, r: 5}. What is prob of picking 2 r and 1 d? 45/182 Two letters picked without replacement from kfoooye. Give prob of picking 1 k and 1 e. 1/21 Calculate prob of picking 2 p, 1 d, and 1 o when four letters picked without replacement from xfpuodf. 0 Two letters picked without replacement from {m: 1, w: 3, e: 1, v: 2}. Give prob of picking 2 w. 1/7 Three letters picked without replacement from {h: 15, l: 5}. Give prob of picking 2 h and 1 l. 35/76 Two letters picked without replacement from vuaavlavklm. What is prob of picking 1 k and 1 a? 3/55
What is the u'th term of -52457643, -104915295, -157372955, -209830623, -262288299? -4*u**2 - 52457640*u + 1 What is the p'th term of 36635, 37400, 38165, 38930? 765*p + 35870 What is the s'th term of 28805, 57582, 86359, 115136, 143913? 28777*s + 28 What is the v'th term of 386036, 386010, 385978, 385940? -3*v**2 - 17*v + 386056 What is the p'th term of -53300, -59806, -66312, -72818? -6506*p - 46794 What is the t'th term of -340, -1946, -6324, -14866, -28964, -50010, -79396, -118514? -232*t**3 + 6*t**2 - 114 What is the w'th term of 3823568, 3823575, 3823582, 3823589, 3823596, 3823603? 7*w + 3823561 What is the n'th term of -15180, -25477, -35774, -46071, -56368? -10297*n - 4883 What is the f'th term of 502069, 1004357, 1506645, 2008933, 2511221? 502288*f - 219 What is the d'th term of -6110157, -6110199, -6110255, -6110331, -6110433, -6110567, -6110739, -6110955? -d**3 - d**2 - 32*d - 6110123 What is the l'th term of 7536701, 7536703, 7536707, 7536713, 7536721, 7536731, 7536743? l**2 - l + 7536701 What is the v'th term of -35178728, -70357454, -105536180? -35178726*v - 2 What is the z'th term of 1075439, 1075481, 1075523, 1075565, 1075607, 1075649? 42*z + 1075397 What is the k'th term of 385815973, 771631948, 1157447923, 1543263898, 1929079873, 2314895848? 385815975*k - 2 What is the f'th term of 563447, 2254279, 5072505, 9018131, 14091163? f**3 + 563691*f**2 - 248*f + 3 What is the t'th term of 1006, 2633, 5124, 8479, 12698, 17781? 432*t**2 + 331*t + 243 What is the l'th term of 1375824, 1375837, 1375850? 13*l + 1375811 What is the h'th term of -20918, -39466, -58014? -18548*h - 2370 What is the o'th term of 13884773, 27769550, 41654331, 55539116, 69423905, 83308698? 2*o**2 + 13884771*o What is the l'th term of 2557899, 5115680, 7673461, 10231242? 2557781*l + 118 What is the q'th term of -26584, -53452, -80322, -107194? -q**2 - 26865*q + 282 What is the q'th term of 242681726, 970726898, 2184135518, 3882907586, 6067043102, 8736542066, 11891404478? 242681724*q**2 + 2 What is the o'th term of 5908, 42176, 139142, 327154, 636560, 1097708, 1740946? 5058*o**3 + o**2 + 859*o - 10 What is the p'th term of 1999548, 1999544, 1999542, 1999542, 1999544, 1999548? p**2 - 7*p + 1999554 What is the d'th term of 663141, 663128, 663105, 663072, 663029? -5*d**2 + 2*d + 663144 What is the f'th term of -555, -922, -2201, -4938, -9679, -16970, -27357, -41386? -91*f**3 + 90*f**2 - 554 What is the z'th term of -915, -4694, -8473, -12252? -3779*z + 2864 What is the s'th term of -621, -42, 1737, 4716, 8895? 600*s**2 - 1221*s What is the v'th term of -17242, -68943, -155104, -275725? -17230*v**2 - 11*v - 1 What is the t'th term of 59072, 59093, 59136, 59213, 59336, 59517? 2*t**3 - t**2 + 10*t + 59061 What is the m'th term of -1523992, -3047976, -4571960, -6095944? -1523984*m - 8 What is the o'th term of -1235, -1395, -691, 877, 3309, 6605? 432*o**2 - 1456*o - 211 What is the q'th term of -9351, -9313, -9219, -9069, -8863? 28*q**2 - 46*q - 9333 What is the q'th term of -9959, -9595, -9181, -8693, -8107? 4*q**3 + q**2 + 333*q - 10297 What is the w'th term of -206, -747, -1554, -2555, -3678, -4851, -6002? 12*w**3 - 205*w**2 - 10*w - 3 What is the d'th term of -24043, -47055, -69043, -90013, -109971, -128923, -146875? -d**3 + 518*d**2 - 24559*d - 1 What is the z'th term of 752, 1783, 3452, 5717, 8536? -7*z**3 + 361*z**2 - 3*z + 401 What is the t'th term of -77635, -77448, -76947, -75976, -74379? 26*t**3 + t**2 + 2*t - 77664 What is the k'th term of -146586, -293166, -439746, -586326, -732906, -879486? -146580*k - 6 What is the v'th term of -15074, -30327, -45580, -60833, -76086, -91339? -15253*v + 179 What is the y'th term of -22660, -90604, -203846, -362386, -566224? -22649*y**2 + 3*y - 14 What is the f'th term of -56317052, -56317051, -56317050, -56317049, -56317048? f - 56317053 What is the j'th term of -610529, -610526, -610521, -610514? j**2 - 610530 What is the s'th term of -47942407, -95884816, -143827225, -191769634? -47942409*s + 2 What is the c'th term of -18394, -18180, -17824, -17326, -16686, -15904? 71*c**2 + c - 18466 What is the w'th term of 724, 2783, 6156, 10843? 657*w**2 + 88*w - 21 What is the g'th term of -3432, -3219, -2848, -2319, -1632, -787, 216? 79*g**2 - 24*g - 3487 What is the g'th term of 1327, 2206, 3085, 3964? 879*g + 448 What is the b'th term of -1935, -3885, -5833, -7779? b**2 - 1953*b + 17 What is the x'th term of -15109, -30177, -45245, -60313, -75381? -15068*x - 41 What is the a'th term of -5567180, -11134362, -16701544? -5567182*a + 2 What is the v'th term of -32504, -129992, -292478, -519968, -812468, -1169984? -v**3 - 32493*v**2 - 2*v - 8 What is the h'th term of 79816, 159733, 239758, 319891, 400132, 480481, 560938? 54*h**2 + 79755*h + 7 What is the p'th term of 4606, 4264, 3920, 3574? -p**2 - 339*p + 4946 What is the h'th term of 75550089, 75550088, 75550087, 75550086, 75550085, 75550084? -h + 75550090 What is the h'th term of -244, -79, 206, 617, 1160, 1841, 2666? h**3 + 54*h**2 - 4*h - 295 What is the o'th term of -1498433, -5993757, -13485965, -23975057, -37461033, -53943893? -1498442*o**2 + 2*o + 7 What is the c'th term of 1021916, 2043846, 3065776, 4087706? 1021930*c - 14 What is the s'th term of 3642620, 7285228, 10927836, 14570444, 18213052, 21855660? 3642608*s + 12 What is the s'th term of 4394504, 4394523, 4394540, 4394555, 4394568, 4394579? -s**2 + 22*s + 4394483 What is the x'th term of 255198, 255192, 255186, 255180? -6*x + 255204 What is the c'th term of 43489, 44092, 45713, 48862, 54049, 61784? 85*c**3 - c**2 + 11*c + 43394 What is the p'th term of -4103504, -4103504, -4103500, -4103492, -4103480, -4103464, -4103444? 2*p**2 - 6*p - 4103500 What is the t'th term of -24326, -24561, -24792, -25019, -25242, -25461? 2*t**2 - 241*t - 24087 What is the q'th term of 333, 1012, 1971, 3216, 4753, 6588? q**3 + 134*q**2 + 270*q - 72 What is the z'th term of 22619, 47181, 71743? 24562*z - 1943 What is the m'th term of 631110, 1262210, 1893310, 2524410, 3155510? 631100*m + 10 What is the j'th term of -22438876, -89755484, -201949830, -359021914, -560971736, -807799296? -22438869*j**2 - j - 6 What is the x'th term of 106183, 212421, 318801, 425395, 532275, 639513, 747181? 12*x**3 - x**2 + 106157*x + 15 What is the j'th term of -705, -1318, -2079, -2988, -4045, -5250? -74*j**2 - 391*j - 240 What is the g'th term of 2430487, 9721922, 21874317, 38887672, 60761987, 87497262, 119093497? 2430480*g**2 - 5*g + 12 What is the n'th term of -16601219, -33202436, -49803651, -66404864, -83006075, -99607284, -116208491? n**2 - 16601220*n What is the b'th term of 151062, 150115, 147546, 142545, 134302, 122007, 104850, 82021? -135*b**3 - b**2 + b + 151197 What is the h'th term of 3436, 3748, 4066, 4396, 4744, 5116? h**3 - 3*h**2 + 314*h + 3124 What is the b'th term of -18334448, -18334449, -18334450, -18334451, -18334452, -18334453? -b - 18334447 What is the m'th term of -164, -1183, -3586, -7949, -14848, -24859, -38558? -96*m**3 - 116*m**2 + m + 47 What is the m'th term of 26860, 51338, 75816, 100294, 124772? 24478*m + 2382 What is the t'th term of 36028, 72021, 107972, 143881, 179748, 215573? -21*t**2 + 36056*t - 7 What is the r'th term of -20549, -21140, -21733, -22328, -22925? -r**2 - 588*r - 19960 What is the g'th term of -307053, -614094, -921135, -1228176? -307041*g - 12 What is the i'th term of 391792, 391774, 391734, 391666, 391564, 391422? -i**3 - 5*i**2 + 4*i + 391794 What is the y'th term of 36, 221, 680, 1533, 2900, 4901? 20*y**3 + 17*y**2 - 6*y + 5 What is the y'th term of -1468, -3462, -6792, -11458, -17460? -668*y**2 + 10*y - 810 What is the n'th term of -1248, -1174, -1042, -834, -532, -118? 3*n**3 + 11*n**2 + 20*n - 1282 What is the v'th term of -16482, -32817, -49020, -65091, -81030, -96837? 66*v**2 - 16533*v - 15 What is the c'th term of -123947, -123977, -124007? -30*c - 123917 What is the f'th term of -366218, -366320, -366422, -366524, -366626, -366728? -102*f - 366116 What is the b'th term of 2097200, 4194397, 6291590, 8388779, 10485964, 12583145? -2*b**2 + 2097203*b - 1 What is the q'th term of 3022491, 3022502, 3022513? 11*q + 3022480 What is the o'th term of 18622607, 18622609, 18622611? 2*o + 18622605 What is the o'th term of -152206, -152205, -152202, -152197, -152190? o**2 - 2*o - 152205 What is the j'th term of 38247, 76764, 115281? 38517*j - 270 What is the a'th term of -8399, -16435, -24469, -32501, -40531, -48559, -56585? a**2 - 8039*a - 361
Calculate prob of sequence www when three letters picked without replacement from wwwwww. 1 Two letters picked without replacement from bbwbwbbbbwbbbbb. What is prob of sequence ww? 1/35 Calculate prob of sequence gxx when three letters picked without replacement from {x: 3, g: 1}. 1/4 Four letters picked without replacement from sjsvsvrrwevrjevsvss. What is prob of sequence vwrj? 5/15504 What is prob of sequence zj when two letters picked without replacement from {y: 4, k: 2, n: 1, x: 1, j: 3, z: 1}? 1/44 What is prob of sequence sy when two letters picked without replacement from {s: 3, y: 3, m: 7}? 3/52 Two letters picked without replacement from {f: 3, c: 17}. Give prob of sequence cf. 51/380 What is prob of sequence exx when three letters picked without replacement from {e: 1, s: 1, x: 7}? 1/12 Calculate prob of sequence bpbt when four letters picked without replacement from tbttytyybbbbyboyybop. 7/4845 What is prob of sequence tn when two letters picked without replacement from {n: 1, o: 1, b: 4, p: 1, t: 2}? 1/36 Four letters picked without replacement from ssssssssssssua. Give prob of sequence sasu. 1/182 Three letters picked without replacement from {i: 1, c: 1, u: 2, b: 1, l: 4}. What is prob of sequence iuc? 1/252 Four letters picked without replacement from {a: 5}. Give prob of sequence aaaa. 1 What is prob of sequence fff when three letters picked without replacement from fffeefffefee? 7/44 Four letters picked without replacement from {y: 1, h: 3, i: 2, b: 6}. What is prob of sequence yhhi? 1/990 Calculate prob of sequence wcwe when four letters picked without replacement from {w: 2, e: 1, f: 1, s: 1, c: 2}. 1/210 Three letters picked without replacement from ooydrpdmm. What is prob of sequence oom? 1/126 Three letters picked without replacement from {z: 2, o: 5}. Give prob of sequence zzo. 1/21 What is prob of sequence qpu when three letters picked without replacement from pktutputqupruqquu? 9/680 Three letters picked without replacement from yhzyffxzfz. What is prob of sequence zxf? 1/80 Calculate prob of sequence jfa when three letters picked without replacement from fsashjhqjfaajjh. 4/455 Calculate prob of sequence aaa when three letters picked without replacement from amaa. 1/4 Calculate prob of sequence rq when two letters picked without replacement from bnqmrmbmmbmrrmrrnr. 1/51 Calculate prob of sequence esw when three letters picked without replacement from {w: 6, e: 4, s: 1, i: 2}. 2/143 Three letters picked without replacement from {u: 3, t: 1, n: 4}. What is prob of sequence uuu? 1/56 Three letters picked without replacement from {f: 2, k: 1}. Give prob of sequence kff. 1/3 Four letters picked without replacement from {d: 2, g: 3}. What is prob of sequence ggdg? 1/10 What is prob of sequence qqt when three letters picked without replacement from {z: 4, t: 8, q: 8}? 56/855 Calculate prob of sequence hh when two letters picked without replacement from jyyhyyxyhxoojyy. 1/105 Calculate prob of sequence wgwg when four letters picked without replacement from gggggwgwggggwgrg. 33/1820 What is prob of sequence dup when three letters picked without replacement from dddpuidduudpu? 4/143 What is prob of sequence sodz when four letters picked without replacement from zzdxddzzzdscszdoo? 1/476 Three letters picked without replacement from sasasssssssss. What is prob of sequence sas? 5/39 Three letters picked without replacement from mmvdvemmmmmmmm. What is prob of sequence mdv? 5/546 Calculate prob of sequence ppdp when four letters picked without replacement from {p: 5, d: 3}. 3/28 Two letters picked without replacement from {a: 3, l: 4}. What is prob of sequence ll? 2/7 Four letters picked without replacement from drdddrddrrrrr. Give prob of sequence rdrr. 21/286 Two letters picked without replacement from {f: 13, x: 6}. What is prob of sequence ff? 26/57 Calculate prob of sequence zzh when three letters picked without replacement from {z: 5, h: 11}. 11/168 Three letters picked without replacement from pipipkjkkujpjpugkkip. Give prob of sequence gpj. 1/380 What is prob of sequence gc when two letters picked without replacement from uggucguhggu? 1/22 Two letters picked without replacement from tytrtttttpyr. What is prob of sequence pt? 7/132 Calculate prob of sequence hkhh when four letters picked without replacement from {h: 7, k: 7}. 35/572 What is prob of sequence dd when two letters picked without replacement from {e: 8, t: 3, r: 3, z: 1, d: 3}? 1/51 What is prob of sequence mmu when three letters picked without replacement from mhmuhmuxmuuucumu? 1/24 Four letters picked without replacement from {l: 3, r: 2}. What is prob of sequence rrll? 1/10 Four letters picked without replacement from {z: 7, i: 1}. Give prob of sequence zzzz. 1/2 Three letters picked without replacement from fgkggfkgkfzfzzfkf. Give prob of sequence kgz. 1/85 Three letters picked without replacement from aoaogaa. What is prob of sequence aoa? 4/35 Calculate prob of sequence cuu when three letters picked without replacement from {u: 5, c: 11}. 11/168 Two letters picked without replacement from vvm. What is prob of sequence vv? 1/3 What is prob of sequence wbvb when four letters picked without replacement from {y: 8, b: 2, v: 1, l: 2, w: 1, m: 1}? 1/16380 Two letters picked without replacement from {n: 3, c: 6, l: 1, s: 4, q: 1, z: 3}. What is prob of sequence cs? 4/51 Two letters picked without replacement from qyvxqvq. What is prob of sequence xq? 1/14 Calculate prob of sequence rgrg when four letters picked without replacement from {u: 1, m: 1, x: 2, l: 2, g: 5, r: 6}. 5/476 Calculate prob of sequence duw when three letters picked without replacement from ludwm. 1/60 Calculate prob of sequence ee when two letters picked without replacement from eggeege. 2/7 Two letters picked without replacement from {m: 5, l: 2, a: 4, z: 4}. What is prob of sequence aa? 2/35 Two letters picked without replacement from {n: 1, r: 3, h: 1, d: 2}. What is prob of sequence rd? 1/7 What is prob of sequence qqqq when four letters picked without replacement from qqqqqqqqq? 1 What is prob of sequence fc when two letters picked without replacement from cgqdf? 1/20 Calculate prob of sequence knnk when four letters picked without replacement from knkkank. 1/35 Two letters picked without replacement from beezdepe. What is prob of sequence ed? 1/14 Two letters picked without replacement from {u: 9, s: 3, t: 3, m: 5}. What is prob of sequence st? 9/380 Two letters picked without replacement from {p: 5, w: 8}. Give prob of sequence pw. 10/39 What is prob of sequence lo when two letters picked without replacement from {l: 2, o: 7}? 7/36 Three letters picked without replacement from {e: 2, y: 2, l: 1, a: 12, g: 2, f: 1}. What is prob of sequence yal? 1/285 Four letters picked without replacement from {y: 5, s: 3}. Give prob of sequence syss. 1/56 Calculate prob of sequence hb when two letters picked without replacement from ohohhhobbhoo. 5/66 Calculate prob of sequence qnm when three letters picked without replacement from mqmqqnm. 3/70 Four letters picked without replacement from {f: 1, k: 2, g: 2}. Give prob of sequence kgfg. 1/30 Three letters picked without replacement from {c: 1, y: 2, m: 1, l: 1, r: 1, h: 1}. What is prob of sequence ymc? 1/105 Two letters picked without replacement from {z: 2, f: 4, y: 5}. Give prob of sequence zy. 1/11 What is prob of sequence wwjw when four letters picked without replacement from wwjgdd? 0 Four letters picked without replacement from shopp. What is prob of sequence oopp? 0 What is prob of sequence rrrz when four letters picked without replacement from zrrrvvrvvvvvrrvrrvv? 7/1938 Three letters picked without replacement from {m: 2, h: 2, s: 4}. Give prob of sequence hsh. 1/42 Four letters picked without replacement from qtttqtt. Give prob of sequence tttq. 1/7 Three letters picked without replacement from {k: 1, r: 2, o: 2, j: 7, z: 4}. What is prob of sequence ojr? 1/120 Three letters picked without replacement from gwnnwwnnngnghnnnnnwn. Give prob of sequence ggg. 1/1140 Two letters picked without replacement from shddtag. What is prob of sequence ds? 1/21 What is prob of sequence dpdn when four letters picked without replacement from dpddhjdnpd? 1/126 Calculate prob of sequence zl when two letters picked without replacement from {l: 1, z: 2}. 1/3 Calculate prob of sequence ss when two letters picked without replacement from {s: 10}. 1
Let z(m) = m**3 - 3*m**2 - m - 4. Suppose -16*d + 33 = -31. Let o(p) = p**3 - 4*p**2 - p - 4. Give d*z(a) - 3*o(a). a**3 - a - 4 Let h(f) = 4*f**2 - 5. Let z be 6/45 - 446/(-30). Let b(u) = u**3 - 15*u**2 + 5. Let r be b(z). Let p(w) = -3*w**2 + 4. Calculate r*p(q) + 4*h(q). q**2 Let x(j) = 22*j - 122. Let p(y) = 14*y - 81. Calculate 8*p(v) - 5*x(v). 2*v - 38 Let s(b) = -242*b**3 - 3388*b**2 - 1694*b. Let y(h) = -2*h**2 - h. Calculate 2*s(c) - 3388*y(c). -484*c**3 Let i(a) = a**2 + 5*a + 71. Let t(b) = b**3 + b**2 - 1. Calculate i(n) - t(n). -n**3 + 5*n + 72 Let g(r) = 24*r + 1864. Let n(c) = -5*c - 374. Calculate -3*g(u) - 14*n(u). -2*u - 356 Let k be ((-5)/(-3))/((-1)/3). Let p(d) = 2*d**2 + 17*d + 6. Let s(v) = -53*v - 363. Let w be s(-7). Let u(z) = z**2 + 11*z + 4. Give k*p(b) + w*u(b). -2*b**2 + 3*b + 2 Let s be 12/(-16) - 4/(14 + 2). Let i(m) = -m - 1. Let k(q) = 2*q. Give s*k(a) - i(a). -a + 1 Let w(p) = p + 1. Let v = 72 + 7. Suppose -78*y = -v*y - 6. Let h(q) = -3*q**2 + 6*q + 6. Suppose 0*n + 2 = 2*n. Calculate n*h(k) + y*w(k). -3*k**2 Suppose 4*l + 2*k - 23 = 25, 4*l - 5*k - 34 = 0. Let s(f) = 7*f**3 - 2*f**2 - 2*f - 2. Let z(c) = 36*c**3 - 11*c**2 - 10*c - 11. Calculate l*s(w) - 2*z(w). 5*w**3 - 2*w Let v(j) = -j. Suppose 0 = -4*g + 9*g - 5*u - 30, -4*u = 3*g + 3. Let y(r) = 7*r**2 + 6*r. Calculate g*v(m) + y(m). 7*m**2 + 3*m Let n(m) = 7*m. Let a(r) = -15*r. Let y = -60 - -60. Suppose 4*j = -y*j + 8. Determine j*a(i) + 5*n(i). 5*i Let i(j) = -2*j**3 - 5*j**2. Let k(h) = -h**3 - 2*h**2. Let t be 1 + -16 + 1110/111. What is t*k(b) + 2*i(b)? b**3 Let j(q) = 3*q - 3. Let u(t) = 4*t - 2. Let c be 5797/253 - 23 - 48/(-23). Give c*u(g) - 3*j(g). -g + 5 Let h(d) = -4*d**2 - 3*d - 2. Let k(v) = 5*v + 10 + 2*v**2 + 0 - 8 + 5*v**2 + 1. What is 5*h(g) + 3*k(g)? g**2 - 1 Let a(n) = -n**3 + n**2 + n - 1. Let v(t) = -t**2 - t - 7. Let k(c) = 29*c + 144. Let l be k(-5). What is l*a(x) - v(x)? x**3 + 8 Suppose 23*w - 21*w - 20 = 0. Let c(s) = -30*s - 135*s**2 - 15*s - w*s. Let h(d) = -5*d**2 - 2*d. Calculate 2*c(a) - 55*h(a). 5*a**2 Suppose 0 = 1511*g - 1522*g + 22. Let k(l) = 15*l**2 + 2*l - 1. Let r(x) = -46*x**2 - 7*x + 3. What is g*r(a) + 7*k(a)? 13*a**2 - 1 Let y(z) be the first derivative of z**4/4 + z**3 + z**2/2 - 4*z + 237. Let u(t) = -t**3 - t**2 - t + 1. Determine 3*u(b) + y(b). -2*b**3 - 2*b - 1 Let u(w) = -28*w - 16. Let q(s) = -s - 1. What is -24*q(v) + u(v)? -4*v + 8 Let z(p) = -4*p**2 + 5*p + 6. Let u(c) = c**3 - 7*c**2 + 9*c + 3. Let w be u(3). Let b(m) = -9*m**2 + 11*m + 12. Determine w*b(l) + 13*z(l). 2*l**2 - l + 6 Let f(q) = q**2 + 2*q - 2. Let m(b) = -b**2 - 3*b + 3. Let o(i) = -6*f(i) - 5*m(i). Let z(k) = k**2 - 5*k + 5. Let p be 10*(-3 - 3)/12. Give p*o(r) - 3*z(r). 2*r**2 Let t(s) = 5*s. Suppose -3*r + 15 = 3*m, -45*m + 7 = 3*r - 50*m. Let j(y) = -y + 1. Give r*j(f) + t(f). f + 4 Let k(w) = 1362*w - 10. Let i(a) = -433116*a + 3178. What is -5*i(m) - 1589*k(m)? 1362*m Let y(s) be the third derivative of -2/3*s**3 + 2*s**2 - 1/24*s**4 + 0 + 0*s. Let w(h) = 3*h + 11. Suppose -22*f = -18*f + 16. What is f*w(n) - 11*y(n)? -n Suppose -24 = -870*t + 874*t. Let b(d) = 11*d**3 - 4*d - 11. Let p(g) = -5*g**3 + 2*g + 6. Determine t*b(a) - 11*p(a). -11*a**3 + 2*a Let u(n) be the third derivative of 0*n + 0 + 0*n**3 - 5/8*n**4 - 9*n**2. Suppose -5*d = q - 9, 2*q - 3*d - 19 + 1 = 0. Let o(h) = 7*h. What is q*o(z) + 4*u(z)? 3*z Let f(v) = -140*v. Let w(g) = -7*g. Let p = 2205 + -2211. Calculate p*f(u) + 119*w(u). 7*u Let b be (-3 + 0)/(9*7/(-147)). Let x(y) = y. Let l(d) = 4*d + 9. Let f(j) = l(j) + 4*x(j). Let h(r) = 4*r + 4. Calculate b*h(z) - 3*f(z). 4*z + 1 Let q(v) = -301*v**2 + 20*v - 5. Let i(z) = 601*z**2 - 43*z + 11. Give 6*i(d) + 13*q(d). -307*d**2 + 2*d + 1 Let x be 6*5/(60/8). Let n(i) = -3*i - x*i + i + 3*i. Let j(a) = 3*a. Suppose -2 = 2*f + 4. Determine f*j(k) - 4*n(k). 3*k Let p(c) = -8*c. Let h(r) = -2*r**2 + 11*r - 3. Determine h(v) + p(v). -2*v**2 + 3*v - 3 Let q(j) = 342*j + 3 + 2 - 347*j. Let l(z) = -z**3 + 4*z - 4. Calculate -5*l(a) - 4*q(a). 5*a**3 Let j(g) be the first derivative of 3*g**2 - g + 115. Let d(m) = -7*m + 2. Give 2*d(l) + 3*j(l). 4*l + 1 Let j(m) = m + 2. Let z(g) = -33*g - 19. Give 4*j(q) + z(q). -29*q - 11 Let f(m) be the second derivative of -1/6*m**3 - 1/2*m**2 - 3*m + 0. Let h(a) = 5*a + 5. Give -6*f(b) - h(b). b + 1 Let j(w) = -w - 1. Let f(a) be the first derivative of a**3/3 + 11*a**2/2 + 13*a - 43. What is -2*f(t) - 22*j(t)? -2*t**2 - 4 Let n(x) = 3*x + 16. Let g(l) = -l - 8. Suppose -8 = -4*q - 3*i, q = -3*i - 9 + 2. What is q*g(y) + 2*n(y)? y - 8 Let f(h) = -h**2 - h. Let l(u) = -5*u**2 - 5*u - 4. Let v = -2127 + 2126. Determine v*l(z) + 6*f(z). -z**2 - z + 4 Suppose -1 + 0 = -w. Let i = -20 + 18. Let p(c) = -c + 1. Let n(x) = -x**3 + 2. What is i*p(l) + w*n(l)? -l**3 + 2*l Let b(j) = -9*j**2 + 3*j - 11. Let h(a) = 105 + 6*a**2 - 111 - 11*a**2 + a. Give -6*b(s) + 11*h(s). -s**2 - 7*s Suppose 2*p - 20 = 7*p. Let l(q) be the first derivative of -11*q**3/3 - 7*q**2/2 - 7*q + 112. Let c(w) = -6*w**2 - 4*w - 4. Calculate p*l(t) + 7*c(t). 2*t**2 Let d(m) = 5*m**2 - 4*m + 5. Let q(x) = 2*x**2 - 2*x + 2. Let c be ((-18)/(-8))/((-3)/(-8)). Suppose 4*r + 9 = -b, 4*b - 6 = c. Determine r*d(h) + 7*q(h). -h**2 - 2*h - 1 Suppose 2*j + 2*i - 18 = -0*j, 3 = i. Let b(o) = 3*o + 4. Let m(w) = -3*w - 5. Give j*b(g) + 5*m(g). 3*g - 1 Let i(a) = -3*a + 2. Let v(o) = 260 + 3*o - 9*o - 256. What is 11*i(j) - 6*v(j)? 3*j - 2 Let z(g) be the third derivative of -g**6/40 - g**5/12 + 5*g**3/6 + 121*g**2. Let a(u) = 4*u**3 + 8*u**2 - 8. Let j be (1/3)/(2/30). What is j*a(d) + 8*z(d)? -4*d**3 Let g(w) be the first derivative of 2*w**4 - 3*w**2 + 7*w + 18. Let i(a) = 15*a**3 - 11*a + 13. Suppose -30*x + 33*x = -18. Give x*i(u) + 11*g(u). -2*u**3 - 1 Let r(j) = -j**2. Let c = -440 - -443. Let s(x) = 10*x**2. What is c*r(g) + s(g)? 7*g**2 Let s be (9/6)/(1/(-2)). Let m(j) = j**3 + 4*j**2 + 2*j + 1. Let x be m(s). Let n(c) = -3*c - 10 + 6 + 2*c. Let q(p) = -2*p - 5. Give x*q(g) - 5*n(g). -3*g Let k(u) = -10*u**2 - 11. Let n(w) = -11*w**2 - 12. Give -6*k(c) + 5*n(c). 5*c**2 + 6 Let k(x) = 6*x**2 - 14*x + 14. Let o(r) = 2*r**2 - 5*r + 5. Let w = 520 + -503. Determine w*o(p) - 6*k(p). -2*p**2 - p + 1 Let o(z) = 2*z + 6. Let w be o(-5). Let x(g) = -11*g**2 + 0*g**2 - 17 + 33*g**3 - 17*g**3 - 18*g**3. Let r(l) = l**3 + 4*l**2 + 6. Give w*x(q) - 11*r(q). -3*q**3 + 2 Let r(w) = 4*w + 3. Let y(q) = 8*q + 7. Give 5*r(s) - 3*y(s). -4*s - 6 Let z(i) = 6*i**2 - 3*i + 1. Let v = -107 - -121. Suppose 37 = -v*u - 75. Let j(o) = 17*o**2 - 8*o + 3. What is u*z(p) + 3*j(p)? 3*p**2 + 1 Let y(k) be the first derivative of -k**2/2 + 1. Let z = 10 + -44. Let d = 32 + z. Let g(v) = v**2 + 1. What is d*g(f) - 2*y(f)? -2*f**2 + 2*f - 2 Let f(p) = 105*p**2 - 4*p + 4. Let h(a) = -103*a**2 + 5*a - 5. Calculate -5*f(l) - 4*h(l). -113*l**2 Let k be (18/(-30))/3*(-33 + -12). Let v(z) = -24*z - 23. Let h(c) = 12*c + 11. Let d(f) = -11*h(f) - 6*v(f). Let s(a) = -3*a - 4. Determine k*s(t) + 2*d(t). -3*t - 2 Let t(q) = -16*q**2 - q - 2. Let a(u) = 17*u**2 + 2*u + 2. What is -3*a(r) - 4*t(r)? 13*r**2 - 2*r + 2 Let a(x) = -x - 4. Let c(b) = b + 7. Let j = 2398 - 2401. Calculate j*c(r) - 5*a(r). 2*r - 1 Let t(c) = -c**3 - c**2 + 3*c. Suppose 2*s + 10 = -18. Let w = 3 - s. Let i = -24 + w. Let a(q) = -2*q**3 - 3*q**2 + 7*q. Give i*t(u) + 3*a(u). u**3 - 2*u**2 Let o(x) = -6*x**2 - 7*x + 1. Let c(j) = j. Calculate -4*c(p) - o(p). 6*p**2 + 3*p - 1 Suppose -9*y + 14*y = 245. Let v(u) = -98 + y + 48 + 2*u. Let l(a) = -a. Let q(b) = b**2 + 3*b + 3. Let h be q(-2). Determine h*v(w) + 4*l(w). -2*w - 1 Let m(p) = -7*p**2 - 5. Let a(g) = 4*g**2 + 3. Let f be -9*5/(-6) - (-3)/(-2). Suppose 36 = -f*k - 0*k. Determine k*m(c) - 10*a(c). 2*c**2 Let f(j) = -125*j**2 - 2*j - 15. Let w(p) = -63*p**2 - p - 8. What is 6*f(m) - 11*w(m)? -57*m**2 - m - 2 Let r(b) = -14*b**3 + 6*b**2 + 3. Let g(a) = 12*a**3 - 6*a**2 - 3. What is 5*g(c) + 4*r(c)? 4*c**3 - 6*c**2 - 3 Let j(y) = -4*y**2 - 4. Let u(k) = k**2 - k. Calculate j(q) + 5*u(q). q**2 - 5*q - 4 Let v(i) = -i + 21. Let y(t) = t - 32. Determine -7*v(g) - 5*y(g). 2*g + 13 Let t(d) = 5*d**2 + 5. Let m(i) = -i**3 - 6*i**2 - 5*i + 2. Let b be m(-5). Let k(h) = 0*h**2 - 18 + 17 - h**b. Calculate 4*k(c) + t(c). c**2 + 1 Let c(x) = x. Let p(z) = 2*z**2 - 10*z. Suppose -7*m + 6 = -8. Let n = 68 + -48. Determine m*p(u) + n*c(u). 4*u**2
Suppose -s = -54 - 48. Let n = s - 72. Let j = n + -89/3. Is 1 smaller than j? False Let p = -46.16573 - 0.10427. Let n = p - -46. Are -2/3 and n nonequal? True Let b be (-10)/(-4) + 11/(-22). Suppose 0 = -b*y - 61 + 3. Is -27 equal to y? False Let r be (-2)/(-3)*-6 + 13. Let p(j) = j**2 + 3*j + 1. Let o be p(-4). Suppose -4 = -o*w + r*w. Which is bigger: w or 2/5? 2/5 Suppose 20 = 2*q - 3*k, 4*k - 14 = 5*q - 57. Suppose 137 = -q*o + 529. Which is smaller: o or 55? 55 Let a = 9.07 - 8.9. Let p = a - 0.77. Is p less than 1? True Let v be 2/8 - ((-3)/(-12) - -2). Let r be (-12)/(-80)*-22 - 2. Let l = -34/5 - r. Which is greater: v or l? l Let u = -18.8 - -19. Let k = 17.2 - u. Let t = -20 + k. Which is smaller: t or 0? t Let p(w) = -9*w - 45. Let r be p(-5). Suppose 4*t - 157 = 5*j, 22 = t - 4*j - 20. Let n be 0 - (t/(-42) - -1). Which is smaller: r or n? n Suppose -y - 17 = -5*b + 3, -5*y + 2*b = 54. Suppose 4*r + 32 = -16. Which is smaller: y or r? r Let l = 188.7 + -40.7. Is l greater than 1? True Suppose 0 = -y + o - 34 + 25, y - 5*o = 7. Let f be 1/(-5) + 207/(-15). Which is smaller: f or y? f Let q be (12184*4/240)/(6/(-9)). Which is smaller: -305 or q? -305 Let q = -1.031 - 5.279. Let m = -6 - q. Is m at most -1? False Let i = 7/40 + 3/40. Which is bigger: i or 1/132? i Let q be (-3 - (-81)/21)/(2/14). Let n be 4 + -5 - (-94)/(-2). Let a be n/(-4)*(-4)/(-6). Is q bigger than a? False Let t = -1 + 1. Let n = 3327/16 - 208. Let q = -5/16 - n. Is q at most t? True Let m = 0.36 - 0.16. Let x(b) = b**2 + b + 20. Let s be x(0). Suppose 3*c + s = -2*c. Is c >= m? False Let d be 1407/6923 - (-12)/(-138). Which is smaller: d or 1? d Let d be -1236 - ((-8)/6 - (-112)/21). Let g = d + 90518/73. Is g greater than 1? False Let d(z) = z + 3*z**3 - 24 + 2*z**3 - 20*z**2 - 3*z**2 - 4*z**3. Let l be d(23). Which is smaller: 4/29 or l? l Suppose -4*p - 93 = -p. Suppose 14*d + 96 = 11*d. Which is smaller: d or p? d Let a be 6 - 10 - (-6)/2. Suppose -10*z - 9 - 11 = 0. Which is bigger: a or z? a Suppose 3*d - 32 = -d. Suppose -5*z - d = 7. Let w be -6*z/(-8)*6. Is w >= -14? True Let g(v) = -v**3 + 8*v**2 - 4*v + 4. Let j be g(8). Let i be (4/6 + j/42)/(-1). Which is smaller: i or 1/45? i Let n(s) = -s**3 - 2*s**2 + 8*s + 17. Let d be n(-2). Is d smaller than -1/84? False Let u = -548/215 + -9241/258. Let i = u + 116/3. Are i and -1 non-equal? True Let q be ((-3)/(-99))/(1/(-2)). Let n(l) = l**2 + 4*l - 3. Let w be n(-5). Suppose -s = w*s. Is s at least as big as q? True Suppose -6*f - 7 + 19 = 0. Let q be 6/(1*-12) - 14/f. Which is greater: -9 or q? q Suppose -3*i + 65 = -8*i. Suppose 4 = -2*d - 3*z - 32, 24 = -2*d + 3*z. Is i at least d? True Let u(h) = h + 3. Let y be u(-4). Let i be (-9)/(-60)*3*4/288. Let n = -87/1120 + i. Is n != y? True Let s = -199 - -407. Are 209 and s nonequal? True Let a(h) = h**3 - 6 + 6*h**2 + 2*h + 6*h**3 - 6*h**3 + h. Let i be a(-5). Let f(v) = v**3 - 4*v**2 + v - 4. Let p be f(i). Is p less than 1/10? True Let f = -80 - -53. Let a = f + 27. Let n = -0.06 + 2.06. Is n bigger than a? True Let j be ((-4)/(-6))/((-2)/3). Let p = -147/4 - -6019/164. Let r = -57/328 - p. Is j > r? False Let t(v) = -2*v**2 - 7*v - 2. Let s be t(-3). Let p(u) = -8*u**2 - 1. Let x be p(s). Suppose -50 = 4*n + n. Which is smaller: n or x? n Let s be 9 + (-1 - 10) + (-7)/(-3). Is s at most 43? True Let r = -65/14984 - 140863609/224760. Let c = -627 - r. Is c less than -1? False Let m = 4.99 - 3.99. Does m = 4.9? False Let p be 2064/8 - 2*-1. Suppose q = 6*q - p. Is q at most 52? True Let f = -5680971/281 - -20217. Is -1 at least as big as f? False Let q = -0.03 - -0.33. Let h = q - 0.4. Let m = 1/25 + -16/25. Which is bigger: m or h? h Let g(f) be the third derivative of -f**6/120 + f**5/20 + f**4/8 - 6*f**2. Let k be g(4). Let j be 1*1*(-4)/k. Which is smaller: j or -4/11? -4/11 Let i = -19.621 - -0.621. Is i < -19? False Let r = -31598230 - -5182204839/164. Let u = 580 - r. Which is bigger: u or 1? 1 Let b(w) = -5*w**2 + 139*w**3 - 1 - 140*w**3 - 2*w + 4*w**2. Let p be b(-1). Which is bigger: -2/33 or p? p Suppose -4*h = 2*q - 126, 7*h - 189 = -3*q + 2*h. Let z be (-2 + 123/q)*-15. Which is bigger: z or 1/2? z Let k = 2 - -1. Let x = -30 - -25. Let w be x/(-2 - k/(-3)). Which is smaller: 4 or w? 4 Let v = 371 + -360. Is -10 less than v? True Let p be ((-1)/(-3))/(21*1). Let d be -1 - 2 - ((-2197)/504 - -1). Let s = p + d. Is s smaller than 1? True Suppose -9*p - 107 = -12*p + 5*l, -2*l = -p + 36. Is 53 bigger than p? True Let w = -161 + 160. Let z = -5.18 + 0.58. Let d = z + -0.4. Which is smaller: w or d? d Suppose -19*w + 15*w = -76. Let k be 180/(3 - -2) + -3. Let n = -13 + k. Is w bigger than n? False Let a(f) = -f**3 + 4*f**2 - 2*f - 3. Let n be a(3). Suppose 3*w = -w + 8. Suppose 5*r + 20 = -5*p, -4*r = -r - w*p - 3. Does r = n? False Let h = -0.4 + 3.4. Let j be (-4)/(-18) + 3/(108/(-32)). Which is smaller: j or h? j Let c = 1 + -1. Let s be (-2)/6*(-1 - 14). Suppose -s*j = -j + 4. Which is bigger: j or c? c Let l = 365 + -364. Which is smaller: -1/12 or l? -1/12 Let v(k) = 2*k - 3. Let u = -69 + 71. Let o be v(u). Is o smaller than 2/3? False Let p(x) = -x**3 - 12*x**2. Suppose d - 5*l + 0 = -7, -2*d = 2*l + 26. Let y be p(d). Let g be 9/3*(-2)/15. Do y and g have different values? True Let n = 38.947 + 0.053. Let y = 342 - 341. Which is bigger: n or y? n Let b = 1479 + -4436/3. Which is greater: 2/155 or b? b Let d(f) = f**3 + f + 2. Let j be d(0). Suppose v - 102 = -j*n + 216, v = n + 327. Let a = v - 980/3. Is a at most as big as -2? True Let o = -557 - -558. Do -1/1542 and o have different values? True Let w be 21 + ((-150)/(-40) - 4). Do w and 20 have the same value? False Let t be 2 + (-38)/(-10) - 44/55. Suppose 5*r + 6 = 2*b, -2*r = -3*b - t + 3. Do r and -2.2 have different values? True Suppose g = 5, 51 = -0*w + 2*w - 3*g. Suppose -w = -6*s - 3. Which is smaller: s or 15/4? 15/4 Let j be (4/51)/((-8)/60). Suppose 3*d = -5*l - 5, 4*l = -7*d + 11*d - 4. Is j at least d? False Let g be (8/14)/2 - 4/(-84). Is -6 not equal to g? True Suppose 6*t + 28 = -92. Let d be (-436)/(-190) + 8/t - 2. Is 1 > d? True Let g = 441/5 + -3187/35. Is -4 >= g? False Let f = 12/91 + -38/91. Is 33/14 greater than f? True Let p(r) = -r**2 + 4*r + 16. Let d be p(-9). Let w = d + 302/3. Let s = 43/3 - 14. Which is smaller: s or w? w Let l = -0.09 - -0.19. Let q = 16.1 + -16. Is l equal to q? True Let f(p) = -p**2 - 5*p - 4. Let l be f(-5). Let o be (-6)/12 + (-3)/6*-5. Let g be (o + 3 + l)/3. Which is smaller: g or 1? g Let f be -1 - ((-14)/3 - -2). Let r be -1*9/(-3) + (5 - 6). Which is smaller: f or r? f Suppose -2*f + 6*f + 8 = 0. Let d be f/(822/433599)*1. Let a = 1055 + d. Is a > -1? True Let u = -200.41 - -7.41. Is u > 1? False Suppose -5*i = -0*i. Let a(h) = 5*h**2 + h - 2. Let l be a(-3). Suppose 2*k = -i*k - 5*y - l, -3*k - 53 = 4*y. Are -15 and k equal? True Suppose -5*b - 2*p = 181 + 27, 0 = -2*b + 4*p - 64. Is -38 at most as big as b? False Let u = 243 + -250. Which is bigger: u or 0.2? 0.2 Let h(v) = 16*v**2 - 4*v - 5. Let s be h(-1). Suppose 3*o = s - 12. Is 15/22 at most as big as o? True Let a = -0.0192 + 0.1192. Which is smaller: a or -51? -51 Let p be 6*((-475)/(-10))/5. Let i = -51 + p. Is 5 at most i? True Suppose d = 3*t - 3, -16*d - 3 = 4*t - 15*d. Let i = 11/5 - 17/10. Which is smaller: i or t? t Let x = -7030/7 + 1004. Which is bigger: 357 or x? 357 Let k be (1 - -14) + (-4 - (-2 + -1)). Let a be (2 - 0)*(-5)/k. Are -2/13 and a unequal? True Let p = -785.956 - -786. Which is smaller: -3 or p? -3 Suppose 3*p - 21 = -4*x - 15, 3*x - 2*p + 4 = 0. Which is bigger: -1/595 or x? x Let c(q) = -q**3 - 11*q**2 - 14*q + 31. Let k be c(-9). Suppose n + 3*s = -14, 3*n = -4*s - 0*s - 32. Let l = n - -6. Which is smaller: l or k? k Let x be 1026/(-1428) + 2/28. Is -3 <= x? True Let u = 0.149 - 6.849. Let c = u - -8.7. Which is bigger: -16 or c? c Let m = 242 - 242. Which is smaller: m or 28/5? m Let h(z) be the third derivative of -z**6/120 + 7*z**5/30 + 2*z**4/3 - 2*z**3 - 5*z**2. Let q be h(15). Suppose 2*k - 19 = -5*o, q*o - o + 4*k = 14. Is o <= 6? True Let q(l) = l**3 + 23*l**2 + 44*l + 39. Let w be q(-21). Suppose 0*n - 5*n = 55. Which is bigger: w or n? w Let s be (((-24)/657)/2)/((-4)/24). Which is smaller: -1 or s? -1 Let r = -379/8 - -4831/104. Let y(b) = -2*b**2 - 21*b + 11. Let g be y(-11). Is r less than or equal to g? True
Let y = -633 - -633.0684. Let f = y - -0.3316. What is the second smallest value in 160, -3/2, f, -5? -3/2 Let y = 56987 + -56979. Let g be (12/28)/((-6)/4). Let i be ((-4)/(-9))/(0 - 2). Which is the third biggest value? (a) y (b) g (c) i b Let n be (-112)/(-16) + 3/(-1). Let r be (-1*(-6)/n)/(1044/(-48)). What is the biggest value in r, 4, -0.04? 4 Let f(i) = i**3 - 2*i**2 - i - 1. Let o be f(3). Let l = 0 - -2. Let m = 5258 - 5258.3. Which is the second smallest value? (a) m (b) o (c) l c Let r = 0.0179 + -593.0179. Let m = r - -603. Which is the third smallest value? (a) 0.1 (b) 3/8 (c) m (d) 3/4 d Let r = 109505 + -109509. Let m be ((-2)/(-4))/((-195)/2). Let j = m - -401/2145. What is the third biggest value in 1/6, j, r? r Let w be (-2)/7*(-8)/16. Suppose 229*v + 107 = 211*v + 17. Which is the second smallest value? (a) w (b) v (c) -1/3 c Let z = -13.09 - -13. Let n = 33011 - 33008. Let p = -152/405 - 2/81. Which is the third biggest value? (a) z (b) p (c) n b Let v = -3.49 - -3.54. Let y(r) = -r**3 + 5*r**2 - 4*r + 4. Let h be y(4). Suppose 7*x = h*x - 9. Which is the second smallest value? (a) 2/15 (b) v (c) x b Let g = 1476 - 13282/9. Which is the second biggest value? (a) -61 (b) -2/13 (c) g (d) 4/3 c Let q = 2118 - 2123. What is the biggest value in -1, q, -40, 0.5? 0.5 Suppose -10*z = -12*z + 2. Let o be z/2 + (11 - 7)/(-24). Let n be (-2)/(-12)*33/(-22). Which is the second biggest value? (a) n (b) -0.17 (c) o b Let d = -5753.2 + 5750. What is the fifth biggest value in d, 0.4, 3.1, -1, 4/3? d Let h = -1 - -1.5. Let g = -52539 + 52538. Let w = -1/10 + 29/90. Which is the smallest value? (a) h (b) g (c) 3 (d) w b Let k = -942 - -946. Let n = -28 + 27.6. What is the third biggest value in n, -0.5, k? -0.5 Let u = 217 - 193. Let y be (-7)/(-42) - (-20)/u. Let g be (-1 - 17)*(-2)/(-4). What is the biggest value in g, 0.3, y? y Let h = 1105.6 + -1107.6. Let f be (-3)/(-12) - 11/12. Which is the smallest value? (a) f (b) h (c) 1/3 (d) -5 d Let t(s) = -3*s**3 - 7*s**2 + 9*s + 14. Let r be t(-3). Suppose -5*f + 17 = -3*y, -2*f + r*y = 4*y - 6. What is the fourth biggest value in -1/2, 3, f, 2/107? -1/2 Let t be -2 + 1 - (-3 - -2). Let o = -7.3808 - -4.3808. Which is the second biggest value? (a) o (b) -2/9 (c) t (d) 2 c Let i = 3872 - 3875. Which is the second smallest value? (a) 8 (b) -5 (c) -1/2 (d) i d Suppose -2*m = 2*m. Suppose -90*r + 13 + 71 = -48*r. What is the fourth biggest value in -0.4, r, m, 1/2? -0.4 Let z = 5834 + -5799. What is the third smallest value in 4, z, -0.14? z Let d = 0.2 - 0.3. Let p(b) = b**3 - 6*b**2 + 6*b - 2. Let s be p(5). Let h(m) = m**2 + 22*m - 1040. Let g be h(23). What is the biggest value in d, s, g? s Suppose 4*x + 5*z = 3*z + 192, 3*z = 0. Let t be 3/6*x/(-60). Which is the third smallest value? (a) 4 (b) -0.2 (c) 2 (d) t c Let v(w) = w + 8. Suppose -4*g - 8 = 0, -2*h + 3*g - g = 14. Let o be v(h). Let f = 2/883 - 2653/1766. Which is the smallest value? (a) 5 (b) f (c) o b Let n = -43/45 + 118/45. Which is the third smallest value? (a) -2/19 (b) 0 (c) -46 (d) n b Let k = -796 + 795.8. Let h = -1596/11 - -145. Which is the biggest value? (a) -4 (b) k (c) h (d) -1 c Let y = 8.619 + -3.619. Let s = -0.8 - -0.3. Which is the second biggest value? (a) s (b) y (c) -13 a Let i = 0.2 - -1.8. Let w be ((-2)/(-32) - 0) + (-158)/(3420384/(-10455)). What is the fourth biggest value in w, 3/2, i, -0.2? -0.2 Let a be 3/1*8/6. Suppose -a*i + 19 + 1 = 0. Let y = -14324/18265 + 1318/1405. What is the biggest value in -3, y, i, 0? i Let t = -2516 - -2517.39. What is the second biggest value in 2/21, t, -3? 2/21 Let v = -139.937 - -140. Let z = -0.218353 + 1.218353. Which is the second smallest value? (a) v (b) z (c) 3/4 c Let c = -398.7 + 398.72. What is the second smallest value in -1/8, 1/2, c? c Let z = -0.91 - 4.09. Let c = 4373/9 + -485. What is the biggest value in c, z, 5? 5 Let a = 13/136 - 353/136. What is the third smallest value in -2/39, -0.4, a? -2/39 Let k = 22 - 25. What is the third biggest value in k, -14, 1/2, 16? k Let g = -0.12 - 4.88. Let r = -534 - -540.12. Let p = r + -1.12. What is the biggest value in -4, p, g? p Suppose 66*v + 8*v + 83 = -65. Let s be 2/12 + 177/(-54). Let q = -47/18 - s. What is the second smallest value in q, v, 3, -2/3? -2/3 Let g be -1*1*27/(-15). Suppose -5*x - 45 = 0, -4*v + 113 = -x + 120. Which is the second biggest value? (a) v (b) 3 (c) g c Let h = -369.9 - -370. Which is the second biggest value? (a) -2/19 (b) h (c) 2 (d) -4 (e) 0.01 b Let q = 118883/6 - 19815. Which is the biggest value? (a) q (b) 83/2 (c) -4 b Suppose -q - 2*q - 3*h = 6, -2*q - 18 = -5*h. Let i = 0.62513 + -0.12513. Let y = 2 + -1.7. What is the fourth biggest value in y, q, 2/15, i? q Let m = 1354 - 1354.927. Let y = -0.073 + m. What is the fourth biggest value in -0.7, -1/4, -0.4, y? y Let u = -122.6 - -133. Let t = u + -14.4. Which is the second smallest value? (a) -9 (b) 0.1 (c) t (d) 1/3 c Let x = -245 - -274. Suppose x*v - 37*v + 8 = 0. Which is the third smallest value? (a) -5/3 (b) 3/2 (c) v (d) 2 b Let g = 150.798 + 0.202. Let b = 151.04 - g. Let a = 8 + -12. What is the third smallest value in -3/2, b, a? b Let w = -9683/682 + 869/62. Let y = -4 - -4.4. Which is the smallest value? (a) w (b) -4 (c) 0 (d) y b Let v be (141/15)/((-12)/(-10)). Let u = v - 149/18. Let m = 226 + -227. Which is the third biggest value? (a) -3/4 (b) m (c) u (d) -0.1 a Let h be 1461*((-14)/(-30))/(-7). Let g = 98 + h. Which is the third smallest value? (a) -0.3 (b) 4 (c) 0 (d) g d Let o = 30310.9 + -30312.4. Let k(t) = t + 1. Let i be k(-1). Which is the third smallest value? (a) o (b) -1 (c) -2/3 (d) i c Let f = -0.4 + -13.6. Let r = 2845 + -2846. Which is the biggest value? (a) 2/21 (b) -0.3 (c) f (d) r a Let m = -7618.857 - -7619. What is the biggest value in m, 1/4, -4/7? 1/4 Let i = 1003.8 + 58.2. Let o = -1061 + i. Which is the third smallest value? (a) -2/53 (b) o (c) -2 b Let p = 15/7 + -23/14. Let i = 77 - 83. Let a = 1.28 + -1.78. What is the second smallest value in a, i, 1/3, p? a Suppose 13*s - 9*s = 3*s - 2*s. Suppose -2*i - 9 = i. What is the third biggest value in i, 9, s? i Let v = -99.1 + -13.1. Let q = -112 - v. Which is the third smallest value? (a) q (b) -15 (c) 4 c Let v = 6225 + -6221. Let s = 3.28 - 0.28. Let l be (-11)/14 - 2/(-4). Which is the second smallest value? (a) s (b) 0 (c) l (d) v b Let u = -1395.3 + 1394.9. Let v = -0.1 - -0.4. What is the fourth biggest value in -0.3, 2/15, v, u? u Let p = -929/2 - -465. Which is the smallest value? (a) -0.06 (b) 0.4 (c) -2 (d) p c Let x be 10*(4 - 182/42). What is the smallest value in x, -25, 5? -25 Let q = -4.1 - -4.2. Let v = 3.408 - -0.592. What is the second smallest value in -3/5, q, v, -1? -3/5 Let u = -7.699 - -7.599. Let m = 13 + -19. Let v = m - -9. Which is the fourth biggest value? (a) 0 (b) u (c) v (d) 0.2 b Let x = 48483/16 - 3030. What is the third smallest value in 0.1, x, 26? 26 Let k = 21.681 - 21.081. Which is the third biggest value? (a) 0.2 (b) -14.22 (c) k (d) 0 d Let p = -12.84 - -13.34. Which is the second smallest value? (a) -24/5 (b) p (c) 3 b Let w be (10/20)/(2/(-4)) - 138/(-126). What is the smallest value in w, -8/9, 2/9? -8/9 Let y = -9137 - -9136.94. Let n = -3 + 1.9. Which is the smallest value? (a) y (b) -0.3 (c) n c Let w = -174.675 + -0.325. Let t = w - -174.6. What is the third smallest value in 0.3, 1/3, t, 9? 1/3 Let k = 0.484 - 150.484. Let h = k + 149.8. What is the second smallest value in 0.47, 3, h? 0.47 Let j = 32284 - 32288. Which is the smallest value? (a) j (b) 6063 (c) -2/5 a Let c = -13672 - -13580. What is the second biggest value in c, -9, -1/2? -9 Suppose 4*f - 3 = 1. Suppose -7*z + 3 = -4*z, 5*j + 2*z = 882. Let y = j + -198. What is the second smallest value in y, f, -0.4, 4? -0.4 Let h = 29 + 6. Let a = -40 + h. Let o = 23 + -22.4. What is the second biggest value in o, -3, a? -3 Let d be (1/(-10 - -1))/(2/12*1). What is the second smallest value in d, 36, 32? 32 Let s = 8591 + -11570. Which is the biggest value? (a) 1 (b) -5 (c) s (d) 4 d Let d be ((-6)/14 - 2835/(-441)) + -2. What is the smallest value in -1/3, 9, d? -1/3 Let u = -1333 + 1332.6641. Let p = u - -0.0359. Which is the fourth smallest value? (a) -8/13 (b) 5 (c) 4/3 (d) p b
Factor 2*t**2 + 4*t - 6. 2*(t - 1)*(t + 3) Factor -4*p**2 - 20*p + 416. -4*(p - 8)*(p + 13) Factor 100*o**3 + 196*o**2 - 8*o. 4*o*(o + 2)*(25*o - 1) Solve -m**2/4 - 5*m + 21/4 = 0 for m. -21, 1 What is d in -3*d**2 - 21*d - 30 = 0? -5, -2 Factor -2*u**3/15 + 176*u**2/15 - 3872*u/15. -2*u*(u - 44)**2/15 Suppose -4*b**3 + 64*b**2 + 340*b - 400 = 0. Calculate b. -5, 1, 20 Factor 3*p**3/4 - 273*p**2/2 + 6345*p - 12150. 3*(p - 90)**2*(p - 2)/4 Factor -3*f**2 + 1005*f. -3*f*(f - 335) Factor 5*o**3/6 - 35*o**2/2 - 55*o/3. 5*o*(o - 22)*(o + 1)/6 Factor 2*r**4 - 20*r**3 + 46*r**2 - 28*r. 2*r*(r - 7)*(r - 2)*(r - 1) Find n, given that -2*n**2/11 + 92*n/11 - 90/11 = 0. 1, 45 Find n such that 4*n**2/5 - 28*n/5 + 24/5 = 0. 1, 6 Find m, given that -2*m**4/11 + 12*m**3/11 - 16*m**2/11 - 12*m/11 + 18/11 = 0. -1, 1, 3 Find i such that 5*i**4 + 70*i**3/3 + 95*i**2/3 + 40*i/3 = 0. -8/3, -1, 0 Find c, given that 12*c**3 + 88*c**2 - 304*c + 160 = 0. -10, 2/3, 2 Factor s**5/5 + 4*s**4/5 + 3*s**3/5 - 4*s**2/5 - 4*s/5. s*(s - 1)*(s + 1)*(s + 2)**2/5 Let a**4/9 - 62*a**3/9 + 179*a**2/3 - 892*a/9 + 416/9 = 0. What is a? 1, 8, 52 Factor -2*x**2/7 + 38*x/7 - 96/7. -2*(x - 16)*(x - 3)/7 Determine v so that -2*v**2 + 116*v - 1034 = 0. 11, 47 Find o, given that o**3/4 + 23*o**2/2 + 697*o/4 + 867 = 0. -17, -12 Factor l**2/4 - 17*l - 72. (l - 72)*(l + 4)/4 Factor y**5/2 + 10*y**4/3 - 7*y**3/6. y**3*(y + 7)*(3*y - 1)/6 Solve -2*g**2/5 + 402*g/5 - 796/5 = 0. 2, 199 What is j in -j**3/11 + 47*j**2/11 + 449*j/11 - 45 = 0? -9, 1, 55 Factor -2*h**5/7 + 22*h**4/7 - 92*h**3/7 + 180*h**2/7 - 162*h/7 + 54/7. -2*(h - 3)**3*(h - 1)**2/7 Let -o**2/7 + 58*o/7 - 841/7 = 0. Calculate o. 29 What is d in 3*d**2/4 + 261*d/2 + 22707/4 = 0? -87 Let -3*n**3/5 + 201*n**2/5 - 393*n/5 + 39 = 0. What is n? 1, 65 Find b such that -5*b**3 - 30*b**2 + 255*b - 220 = 0. -11, 1, 4 Determine l, given that l**4/12 - 11*l**3/12 - 19*l**2/3 - 16*l/3 = 0. -4, -1, 0, 16 Suppose w**3/2 - 14*w**2 + 64*w + 512 = 0. Calculate w. -4, 16 Factor 3*n**3/4 + 9*n**2/4 - 3. 3*(n - 1)*(n + 2)**2/4 Determine u, given that 2*u**4/5 + 26*u**3/5 + 44*u**2/5 = 0. -11, -2, 0 Factor -5*w**4 - 30*w**3 - 60*w**2 - 50*w - 15. -5*(w + 1)**3*(w + 3) Factor 3*i**2 - 27*i - 156. 3*(i - 13)*(i + 4) Solve -28*l**5 + 32*l**4 + 24*l**3 - 32*l**2 + 4*l = 0. -1, 0, 1/7, 1 Suppose 32*d**4 - 752*d**3 + 3426*d**2 + 6462*d + 2592 = 0. Calculate d. -3/4, 9, 16 Factor -3*b**4/2 + 531*b**3/2 + 1611*b**2/2 + 1617*b/2 + 270. -3*(b - 180)*(b + 1)**3/2 Factor -21*t**2 - 246*t + 72. -3*(t + 12)*(7*t - 2) Suppose 4*v**5/5 + 8*v**4/5 - 8*v**3/5 - 16*v**2/5 + 4*v/5 + 8/5 = 0. Calculate v. -2, -1, 1 Suppose -2*q**4/9 - 56*q**3/9 - 262*q**2/9 + 1856*q/9 - 512/3 = 0. What is q? -16, 1, 3 Find i such that -2*i**2 - 2068*i - 4128 = 0. -1032, -2 Determine b, given that -3*b**3 + 666*b**2/5 - 1524*b/5 + 504/5 = 0. 2/5, 2, 42 Find k, given that 2*k**4/11 + 28*k**3/11 = 0. -14, 0 Factor h**3 - 31*h + 30. (h - 5)*(h - 1)*(h + 6) Determine n so that -n**3/4 + 13*n**2/4 + n/4 - 13/4 = 0. -1, 1, 13 Suppose 8*r**2/11 - 14*r + 38/11 = 0. Calculate r. 1/4, 19 Let -5*l**5/4 - 20*l**4 + 1575*l**3/2 - 1510*l**2 + 2975*l/4 = 0. Calculate l. -35, 0, 1, 17 Factor -3*p**3/4 + 15*p**2/4 + 48*p - 105. -3*(p - 10)*(p - 2)*(p + 7)/4 Factor 3*h**5 + 15*h**4 + 27*h**3 + 21*h**2 + 6*h. 3*h*(h + 1)**3*(h + 2) Factor -5*p**3 - 25110*p**2 + 5*p + 25110. -5*(p - 1)*(p + 1)*(p + 5022) Solve -3*k**4 + 30*k**3 - 45*k**2 - 30*k + 48 = 0. -1, 1, 2, 8 Let -5*y**5 + 100*y**4 + 30*y**3 - 560*y**2 - 785*y - 300 = 0. Calculate y. -1, 3, 20 Let -m**4 + 23*m**3 + 26*m**2 - 48*m = 0. Calculate m. -2, 0, 1, 24 Solve 4*z**4 - 20*z**3 - 60*z**2 + 20*z + 56 = 0 for z. -2, -1, 1, 7 Solve -25*w**2 + 605*w - 120 = 0. 1/5, 24 Let 3*w**5/2 + 6*w**4 - 3*w**3/2 - 24*w**2 - 18*w = 0. Calculate w. -3, -2, -1, 0, 2 Suppose -6*r**5/11 + 124*r**4/11 + 3070*r**3/11 - 2100*r**2/11 = 0. Calculate r. -15, 0, 2/3, 35 Factor -3*r**2 + 24*r + 60. -3*(r - 10)*(r + 2) Factor -r**3 + 280*r**2 - 19600*r. -r*(r - 140)**2 Factor 4489*u**2 + 268*u + 4. (67*u + 2)**2 Let -2*g**3 + 2448*g**2/13 - 5160*g/13 + 736/13 = 0. What is g? 2/13, 2, 92 Factor 2*n**2 - 300*n + 11250. 2*(n - 75)**2 Factor h**5/9 + h**4 + 3*h**3 + 31*h**2/9 + 4*h/3. h*(h + 1)**2*(h + 3)*(h + 4)/9 Factor n**3/6 + 29*n**2/3 - 122*n/3 + 124/3. (n - 2)**2*(n + 62)/6 Let -15*v**5 - 565*v**4 + 2035*v**3 - 675*v**2 - 2440*v + 820 = 0. What is v? -41, -1, 1/3, 2 Solve 2*z**2/11 - 66*z + 1444/11 = 0. 2, 361 Find b such that -7*b**3/5 - 39*b**2/5 - 17*b/5 + 3 = 0. -5, -1, 3/7 Determine f so that f**4 + f**3 - 11*f**2 - 9*f + 18 = 0. -3, -2, 1, 3 Factor -5*m**4 - 25*m**3 + 5*m**2 + 25*m. -5*m*(m - 1)*(m + 1)*(m + 5) Factor -5*q**5 + 35*q**4 + 510*q**3 + 1270*q**2 + 1175*q + 375. -5*(q - 15)*(q + 1)**3*(q + 5) Factor -70*q**3 + 155*q**2 - 20*q - 20. -5*(q - 2)*(2*q - 1)*(7*q + 2) Suppose -18*i**5 + 76*i**4 - 16*i**3 - 288*i**2 + 352*i - 64 = 0. Calculate i. -2, 2/9, 2 Let -3*w**2/2 - 435*w - 63075/2 = 0. What is w? -145 Let -2*l**5/9 + 40*l**4/9 + 202*l**3/9 - 80*l**2/3 = 0. Calculate l. -5, 0, 1, 24 What is r in r**3/4 - 9*r**2/4 + 5*r - 3 = 0? 1, 2, 6 Factor i**4/2 - 4*i**3 - 43*i**2/8 + 65*i/8 - 9/4. (i - 9)*(i + 2)*(2*i - 1)**2/8 Factor -3*v**4 - 441*v**3 - 1296*v**2. -3*v**2*(v + 3)*(v + 144) Factor -s**3/10 - 1542*s**2/5 - 1585176*s/5 - 543186976/5. -(s + 1028)**3/10 Solve 20*l**3/11 - 82*l**2/11 + 68*l/11 - 6/11 = 0. 1/10, 1, 3 Suppose 3*d**2 - 522*d + 519 = 0. Calculate d. 1, 173 What is s in -3*s**4 + 6*s**3 + 27*s**2 - 54*s = 0? -3, 0, 2, 3 Factor g**2/8 + 349*g/8. g*(g + 349)/8 Factor -3*z**2/5 - 303*z/5 - 60. -3*(z + 1)*(z + 100)/5 Factor -p**2 + 18*p + 144. -(p - 24)*(p + 6) Determine m, given that -4*m**5 - 56*m**4 - 172*m**3 - 104*m**2 + 176*m + 160 = 0. -10, -2, -1, 1 Factor 2*a**2/9 - 524*a/9 - 526/9. 2*(a - 263)*(a + 1)/9 Let c**5/2 - 8*c**4 - 37*c**3 - 58*c**2 - 79*c/2 - 10 = 0. Calculate c. -1, 20 Find v, given that v**2 + 198*v - 1224 = 0. -204, 6 Find h such that 46*h**2 - 27*h/2 + 1/2 = 0. 1/23, 1/4 Let d**4/4 - 7*d**3/4 - 2*d**2 = 0. Calculate d. -1, 0, 8 Factor 2*z**3/7 - 8436*z**2/7 + 8895762*z/7. 2*z*(z - 2109)**2/7 Factor -2*y**3/5 - 24*y**2/5 - 58*y/5 - 36/5. -2*(y + 1)*(y + 2)*(y + 9)/5 Factor 7*b**4/2 - 45*b**3/4 + 37*b**2/4 - 3*b/2. b*(b - 2)*(b - 1)*(14*b - 3)/4 Factor 3*r**3 + 462*r**2 + 17787*r. 3*r*(r + 77)**2 Let 2*g**5/21 + 26*g**4/21 + 6*g**3 + 286*g**2/21 + 304*g/21 + 40/7 = 0. Calculate g. -5, -3, -2, -1 Factor -2*z**3/5 + 64*z**2/5 - 46*z + 168/5. -2*(z - 28)*(z - 3)*(z - 1)/5 What is n in 5*n**3/4 - 5*n**2/2 + 5*n/4 = 0? 0, 1 Factor 3*i**5/7 - 9*i**4/7 - 174*i**3 + 2562*i**2 - 13671*i + 25725. 3*(i - 7)**4*(i + 25)/7 Factor 2*p**3/9 + 22*p**2/9 - 80*p/9 + 56/9. 2*(p - 2)*(p - 1)*(p + 14)/9 Determine s, given that 4*s**4 + 36*s**3 + 80*s**2 = 0. -5, -4, 0 Find o such that -o**2/7 + 8*o/7 + 65/7 = 0. -5, 13 Suppose z**5/3 + 5*z**4 + 22*z**3 + 28*z**2/3 - 104*z - 96 = 0. What is z? -6, -4, -1, 2 What is o in -o**4 + 6*o**3 + 787*o**2 + 6060*o - 15300 = 0? -15, 2, 34 Find b such that 2*b**3/11 + 262*b**2/11 + 518*b/11 + 258/11 = 0. -129, -1 Factor 3*u**4/5 - 6*u**3/5 - 21*u**2/5 - 12*u/5. 3*u*(u - 4)*(u + 1)**2/5 Suppose -l**4/7 + 10*l**3/7 - 23*l**2/7 + 2*l = 0. Calculate l. 0, 1, 2, 7 Factor 2*j**4 + 152*j**3 + 2886*j**2 + 17424*j + 14688. 2*(j + 1)*(j + 12)**2*(j + 51) Factor 108*t**4 + 216*t**3 - 297*t**2 + 79*t - 6. (t + 3)*(3*t - 2)*(6*t - 1)**2 Let -2*w**3/11 + 12*w**2/11 + 74*w/11 + 60/11 = 0. What is w? -3, -1, 10 Find v, given that -4*v**3 + 460*v**2 + 2384*v + 1920 = 0. -4, -1, 120 Find r such that r**2/2 + 246*r + 30258 = 0. -246 Factor 4*r**3 - 56*r**2 - 272*r - 288. 4*(r - 18)*(r + 2)**2 Let -2*s**2/9 + 6916*s/3 - 5978882 = 0. What is s? 5187 Solve 3*t**4 + 4320*t**3 + 1572384*t**2 + 12372480*t + 24607488 = 0 for t. -716, -4 Factor -2*f**3 - 18*f**2 + 20*f. -2*f*(f - 1)*(f + 10) Factor -6*t**3/5 - 246*t**2/5 - 132*t + 912/5. -6*(t - 1)*(t + 4)*(t + 38)/5 Suppose -2*s**5/3 + 20*s**4/3 - 38*s**3/3 - 52*s**2/3 + 184*s/3 - 112/3 = 0. What is s? -2, 1, 2, 7 Let 5*q**2 - 7640*q + 2918480 = 0. What is q? 764 Let 38*o**4 + 37*o**3 - o**2 = 0. What is o? -1, 0, 1/38 Factor 5*u**5 + 50*u**4 - 115*u**3 + 60*u**2. 5*u**2*(u - 1)**2*(u + 12) Suppose 2*c**4/3 - 8*c**3/3 - 2*c**2/3 + 8*c/3 = 0. Calculate c. -1, 0, 1, 4 Solve -2*w**3/9 - 1282*w**2/9 + 428*w/3 = 0 for w. -642, 0, 1 Suppose -2*z**3/13 - 346*z**2/13 - 684*z/13 = 0. Calculate z. -171, -2, 0 Factor 5*g**2 + 55*g + 90. 5*(g + 2)*(g + 9)
What is the next term in 284, 569, 852, 1133, 1412, 1689, 1964? 2237 What is the next term in -385, -708, -1031, -1354, -1677? -2000 What comes next: 143, 139, 133, 125, 115, 103? 89 What is the next term in 427, 424, 419, 412? 403 What is the next term in 67, 59, 37, -5, -73? -173 What comes next: 213, 435, 665, 909, 1173, 1463, 1785? 2145 What is next in -2825, -2841, -2873, -2927, -3009, -3125? -3281 What comes next: 48, 255, 666, 1335, 2316? 3663 What is next in -12, -22, -36, -60, -100, -162? -252 What is next in 92, 248, 452, 710, 1028, 1412, 1868, 2402? 3020 What is the next term in 314, 423, 534, 647, 762? 879 What is the next term in -866, -867, -868, -869, -870, -871? -872 What is next in 107, 109, 111, 113, 115? 117 What is the next term in 1, -32, -115, -272, -527, -904, -1427, -2120? -3007 What comes next: 3, -13, -57, -135, -253? -417 What is the next term in -26, -10, 18, 58, 110, 174? 250 What is next in -71, -110, -149, -188, -227? -266 What is the next term in 34, 52, 60, 58, 46, 24, -8? -50 What comes next: -3, -16, -43, -90, -163, -268, -411, -598? -835 What is the next term in 335, 338, 335, 320, 287, 230, 143? 20 What is the next term in -15127, -15130, -15133, -15136, -15139? -15142 What is next in 91, 92, 93, 94, 95, 96? 97 What is the next term in -77, -123, -193, -299, -453? -667 What is next in 517, 1028, 1525, 2002, 2453? 2872 What is next in -53, -81, -95, -89, -57, 7, 109, 255? 451 What comes next: 2942, 2937, 2932? 2927 What comes next: 40, 11, -18, -47, -76, -105? -134 What is the next term in -1189, -2377, -3565, -4753, -5941, -7129? -8317 What comes next: 103, 120, 149, 190, 243, 308? 385 What is the next term in -1683, -1686, -1689, -1692? -1695 What comes next: -61, -260, -585, -1030, -1589? -2256 What comes next: 118, 114, 100, 70, 18, -62, -176, -330? -530 What is next in 2575, 2574, 2573, 2572, 2571, 2570? 2569 What is next in -1022, -2045, -3070, -4097, -5126, -6157, -7190? -8225 What comes next: -27, -56, -111, -204, -347, -552, -831, -1196? -1659 What is the next term in -244, -249, -254? -259 What is the next term in 2, 4, 8, 14, 22? 32 What is next in 77, 126, 217, 356, 549, 802, 1121? 1512 What comes next: -6937, -6933, -6927, -6919, -6909? -6897 What comes next: 347, 792, 1247, 1718, 2211? 2732 What comes next: -267, -275, -287, -303, -323? -347 What is next in 905, 1925, 2955, 4001, 5069? 6165 What is next in -371, -363, -351, -335? -315 What is the next term in -71, -76, -81? -86 What is the next term in -21, -5, 23, 69, 139, 239, 375, 553? 779 What is next in -11, 5, 21, 37, 53, 69? 85 What is the next term in 39, 153, 343, 609, 951, 1369? 1863 What is the next term in -1, 5, 11, 17? 23 What comes next: 113, 406, 903, 1610, 2533, 3678, 5051, 6658? 8505 What is next in 5, 9, 15, 23, 33? 45 What comes next: -37, -49, -73, -115, -181? -277 What comes next: -435, -863, -1287, -1707, -2123? -2535 What is next in 22, -38, -146, -308, -530, -818? -1178 What is next in 35, 24, -13, -88, -213? -400 What comes next: 14, 66, 156, 290, 474, 714, 1016? 1386 What comes next: -137, -305, -471, -635, -797, -957? -1115 What is next in 949, 1899, 2847, 3793, 4737, 5679? 6619 What comes next: 143, 274, 403, 530, 655, 778, 899? 1018 What is the next term in -8, -28, -60, -104, -160, -228, -308? -400 What is next in -15394, -15388, -15378, -15364, -15346, -15324? -15298 What is the next term in 1697, 1700, 1703? 1706 What is the next term in 13, 37, 83, 157, 265, 413? 607 What is the next term in 11, 3, -7, -19, -33? -49 What comes next: -697, -700, -705, -712, -721, -732, -745? -760 What comes next: -17, -75, -171, -305, -477, -687, -935? -1221 What is the next term in 29, 26, 25, 26, 29, 34? 41 What is the next term in -12, -49, -86, -123? -160 What is next in 41, 201, 467, 839, 1317? 1901 What is the next term in 249, 247, 245, 243? 241 What is next in 110, 116, 124, 134, 146? 160 What is next in 391, 783, 1179, 1579, 1983, 2391? 2803 What comes next: -17, -111, -371, -881, -1725? -2987 What is next in 47, 90, 131, 170, 207, 242, 275? 306 What is next in 5313, 5311, 5309, 5307, 5305, 5303? 5301 What is next in 639, 624, 593, 540, 459, 344, 189? -12 What comes next: 160, 662, 1498, 2668, 4172? 6010 What is next in -39, -100, -201, -342, -523, -744, -1005? -1306 What is next in 257, 493, 727, 959, 1189? 1417 What is the next term in -7371, -14741, -22111, -29481? -36851 What is next in -2721, -2720, -2719, -2718? -2717 What is the next term in -7, 22, 91, 218, 421? 718 What is the next term in 9, 36, 115, 270, 525, 904? 1431 What is the next term in -7, -88, -185, -304, -451, -632, -853, -1120? -1439 What is the next term in -30, 4, 54, 114, 178, 240, 294? 334 What is next in 29, 40, 51? 62 What is next in -494, -1004, -1524, -2060, -2618, -3204, -3824? -4484 What is next in 78, 83, 90, 99, 110, 123, 138? 155 What is next in 71, 144, 217, 290, 363? 436 What is next in 174, 387, 600? 813 What is the next term in 285, 562, 831, 1092, 1345? 1590 What comes next: -79, -78, -75, -70? -63 What is the next term in 1, 16, 47, 100, 181, 296, 451? 652 What is next in 31, 63, 97, 133, 171, 211? 253 What comes next: 16185, 16193, 16215, 16257, 16325, 16425? 16563 What is next in 126, 146, 178, 228, 302, 406, 546? 728 What is next in 15, -64, -195, -378, -613? -900 What is next in -59, -131, -201, -263, -311? -339 What comes next: 526, 1050, 1574, 2098? 2622 What comes next: 1809, 1800, 1781, 1746, 1689, 1604, 1485? 1326 What is the next term in 21, 40, 55, 66? 73 What is the next term in 310, 629, 962, 1315, 1694, 2105, 2554, 3047? 3590 What is the next term in -1, 12, 51, 128, 255, 444, 707? 1056 What is next in 489, 490, 491, 492, 493, 494? 495 What comes next: 181, 170, 143, 94, 17, -94? -245 What is next in 261, 232, 155, 6, -239? -604 What comes next: -76, -310, -700, -1246, -1948, -2806? -3820 What is the next term in -44, -129, -256, -413, -588, -769? -944 What is the next term in 9, 35, 67, 99, 125, 139? 135 What is next in -10, -40, -120, -274, -526, -900, -1420, -2110? -2994 What is next in -13, -165, -591, -1429, -2817, -4893, -7795, -11661? -16629 What is the next term in -102, -77, -52, -27, -2? 23 What is the next term in -73, -76, -79, -82, -85? -88 What is the next term in -8, -19, -34, -53, -76, -103, -134? -169 What is the next term in -91, -123, -159, -199, -243, -291, -343? -399 What is next in 228, 660, 1374, 2364, 3624, 5148? 6930 What comes next: 14, 17, 22, 29, 38? 49 What comes next: -10, -22, -34, -40, -34? -10 What is the next term in -81, -80, -79, -78? -77 What is next in -1143, -1165, -1199, -1251, -1327, -1433, -1575, -1759? -1991 What is next in -11279, -22560, -33841, -45122? -56403 What is next in 1089, 1091, 1095, 1101? 1109 What is next in 5632, 5630, 5628, 5626, 5624? 5622 What is next in -658, -680, -706, -730, -746, -748, -730, -686? -610 What is the next term in -14724, -14722, -14720, -14718, -14716, -14714? -14712 What is next in 673, 672, 661, 634, 585, 508, 397? 246 What is next in 30, 130, 398, 918, 1774, 3050, 4830, 7198? 10238 What is the next term in 1441, 1438, 1435, 1432, 1429? 1426 What is the next term in -5, -19, -67, -167, -337, -595, -959? -1447 What is the next term in -813, -816, -819, -822, -825? -828 What comes next: 16, 38, 60, 82, 104? 126 What is the next term in -9, -23, -23, 3, 67, 181, 357, 607? 943 What is the next term in -19, -40, -61, -76, -79, -64, -25? 44 What is the next term in -145, -166, -223, -334, -517, -790, -1171? -1678 What is next in 32, 79, 152, 245, 352, 467? 584 What comes next: 44, 80, 118, 164, 224, 304, 410? 548 What is the next term in -77, -65, -39, 7, 79, 183, 325, 511? 747 What comes next: 1074, 2145, 3216, 4287, 5358? 6429 What is next in 2, 14, 34, 62, 98, 142, 194? 254 What is next in -58, 59, 248, 503, 818, 1187? 1604 What is the next term in -24, -13, -16, -39, -88, -169, -288? -451 What comes next: 52, 175, 386, 691, 1096? 1607 What is next in -2, -1, 0? 1 What is next in -911, -913, -923, -947, -991, -1061? -1163 What is the next term in 18, 6, -52, -180, -402, -742? -1224 What comes next: -643, -1301, -1961, -2623, -3287, -3953? -4621 What is next in 11, -56, -195, -406, -689, -1044, -1471? -1970 What is next in -5, -20, -27, -20, 7, 60, 145, 268? 435 What is the next term in -42, -32, -10, 30, 94? 188 What is the next term in 33, 41, 49? 57 What comes next: -10529, -10530, -10531, -10532? -10533 What comes next: 129, 523, 1177, 2091, 3265? 4699 What is the next term in -54, -185, -404, -711? -1106 What is next in -7, -131, -481, -1171, -2315, -4027? -6421
Factor i**2/8 - 128751337*i/4 + 16576906779287569/8. (i - 128751337)**2/8 Let 4*y**3 - 6968*y**2 + 2871348*y = 0. Calculate y. 0, 669, 1073 Find q such that -2*q**3/7 + 534546*q**2/7 - 2672688*q/7 + 2138144/7 = 0. 1, 4, 267268 Determine a so that -a**5/7 - 2400*a**4/7 - 629396*a**3/7 + 181200*a**2 = 0. -2100, -302, 0, 2 What is z in -12*z**4 - 82928*z**3 - 1213948*z**2 - 1734552*z + 22343040 = 0? -6896, -9, 10/3 Factor 7*g**4/3 + 8794*g**3/3 + 1189984*g**2 + 153791328*g. g*(g + 492)**2*(7*g + 1906)/3 Suppose -a**2/4 + 15949*a/4 + 143865 = 0. Calculate a. -36, 15985 Factor d**3 + 45073*d**2 - 1623961*d - 1669033. (d - 37)*(d + 1)*(d + 45109) Factor -v**5/3 + 4527*v**4 - 20420785*v**3 + 90790296751*v**2/3 + 1500196656112*v. -v*(v - 4543)**3*(v + 48)/3 Let 4*m**3/7 - 494681744*m**2/7 + 15294376740430096*m/7 = 0. What is m? 0, 61835218 Factor 3*h**2 + 29814*h + 40866096. 3*(h + 1642)*(h + 8296) Determine z, given that -10*z**5 + 496*z**4 - 5922*z**3 - 8708*z**2 + 70400*z + 120000 = 0. -12/5, -2, 4, 25 Find c such that 40*c**5 + 46940*c**4 - 5626170*c**3 - 8509615*c**2 - 4266530*c - 712065 = 0. -1283, -1/2, 111 Determine x so that -4*x**5 - 44*x**4 + 10604*x**3 + 170412*x**2 + 795960*x + 1143072 = 0. -49, -9, -4, -3, 54 What is s in -s**3/10 + 509384*s**2 - 5093837*s/10 - 5093839/5 = 0? -1, 2, 5093839 Solve 2*b**4/5 + 132*b**3/5 - 33194*b**2/5 + 175620*b + 378000 = 0 for b. -175, -2, 36, 75 Factor o**2/10 - 4576*o/5 + 3691326/5. (o - 8258)*(o - 894)/10 Solve z**2 + 5088710*z + 6473742366025 = 0 for z. -2544355 Suppose -10*o**4 + 2045*o**3 + 170555*o**2 - 986640*o + 1089360 = 0. Calculate o. -68, 3/2, 4, 267 Find v such that 3*v**4 - 1110*v**3 - 69057*v**2 - 1065312*v - 1863324 = 0. -27, -2, 426 Determine x so that 5*x**3 + 23343995*x**2 + 46687975*x + 23343985 = 0. -4668797, -1 Factor -y**2/3 + 4355*y/3 + 2801756/3. -(y - 4924)*(y + 569)/3 Suppose 4*j**5/9 + 212*j**4 + 214364*j**3/9 - 3247012*j**2/9 - 5166560*j/3 - 16326800/9 = 0. What is j? -245, -2, 17 Let k**3/4 - 1141*k**2/2 + 143568*k = 0. Calculate k. 0, 288, 1994 Factor 2*l**2 - 9002546*l + 27007620. 2*(l - 4501270)*(l - 3) Suppose 5*f**3 + 3156060*f**2 + 498016799280*f - 5976656072640 = 0. Calculate f. -315612, 12 Determine m so that -729*m**5 - 164479329*m**4 - 201029328*m**3 - 28428328*m**2 + 9927376*m + 1804976 = 0. -225622, -1, -2/9, 2/9 Suppose -g**5 - 646366*g**4 - 104444665989*g**3 + 835590939264*g**2 - 1253398043628*g = 0. What is g? -323187, 0, 2, 6 Factor -4*l**2/7 + 128601*l/7 - 257186/7. -(l - 2)*(4*l - 128593)/7 Find o such that -o**5 - 104*o**4/3 + 385*o**3/3 + 15830*o**2/3 - 78352*o/3 - 19712 = 0. -33, -16, -2/3, 7, 8 Factor 5*x**2 + 53005*x + 76591250. 5*(x + 1726)*(x + 8875) Determine j, given that -4*j**4 + 742832*j**3 - 34501572184*j**2 + 1310255365680*j - 12444878952900 = 0. 19, 92835 Suppose 4*m**5 + 5136*m**4 - 120164*m**3 + 104736*m**2 + 230032*m = 0. Calculate m. -1307, -1, 0, 2, 22 Factor -q**3/4 + 1383601*q**2/4 - 478595541515*q/4 + 5264383542275/4. -(q - 691795)**2*(q - 11)/4 What is a in -5*a**5 + 1343225*a**4 - 120285350970*a**3 + 3590718191293770*a**2 - 14361309109340865*a + 10770711202054845 = 0? 1, 3, 89547 Factor 5*q**3 + 6955*q**2 + 450155*q + 443205. 5*(q + 1)*(q + 67)*(q + 1323) Let -3*r**4/2 - 1345617*r**3/2 - 36330201*r**2/2 - 326967435*r/2 - 490447872 = 0. Calculate r. -448512, -9 What is n in -338*n**4/7 + 19344*n**3/7 + 948274*n**2/7 + 8328552*n/7 - 1327976 = 0? -226/13, 1, 91 Suppose -n**4 - 13518*n**3 - 49575932*n**2 - 25726237800*n - 51254280000 = 0. What is n? -6450, -616, -2 Solve b**3/3 - 29892503*b**2/3 + 74463472985000*b + 74463482949168 = 0. -1, 14946252 Factor 2*j**3/3 + 17926*j**2/3 + 12832080*j - 2522317536. 2*(j - 181)*(j + 4572)**2/3 What is b in -5*b**3 - 47835*b**2 - 122977575*b - 40187211345 = 0? -4593, -381 Factor 4*l**2 - 15222300*l - 15222304. 4*(l - 3805576)*(l + 1) Solve -l**4 + 30038*l**3 - 226707692*l**2 + 17063269114*l - 49150249059 = 0. 3, 73, 14981 Find q such that -4*q**5/7 - 2572*q**4/7 + 53220*q**3/7 + 119260*q**2/7 - 53216*q/7 - 116688/7 = 0. -663, -2, -1, 1, 22 Factor -2*c**3/11 + 17774224*c**2/11 - 39490326527546*c/11 - 236942599037772/11. -2*(c - 4443559)**2*(c + 6)/11 Find r, given that 28*r**4 + 141924*r**3 - 13626964*r**2 + 17326284*r - 3841272 = 0. -5163, 2/7, 1, 93 Determine s so that -3*s**2 - 32838*s - 29407824 = 0. -9962, -984 Suppose -4*q**4 + 4272*q**3 + 758264*q**2 - 4272*q - 758260 = 0. What is q? -155, -1, 1, 1223 Determine w, given that -5*w**2 - 6506615*w + 26026540 = 0. -1301327, 4 Factor -2*r**2/13 + 159209548*r/13 - 3168460021795538/13. -2*(r - 39802387)**2/13 Solve 30*i**5 + 1129664*i**4 + 752786*i**3 - 11672648*i**2 + 12802552*i - 3012384 = 0. -188274/5, -4, 1/3, 1, 2 Determine c, given that 5*c**5 + 1359730*c**4 - 4079250*c**3 - 4079180*c**2 + 14957165*c - 8158470 = 0. -271949, -2, 1, 3 Suppose -102152*k**5/7 - 504432*k**4/7 - 894154*k**3/7 - 97674*k**2 - 191844*k/7 = 0. Calculate k. -2, -1, -219/226, 0 Determine h, given that -h**3/4 + 76457*h**2/4 - 363445260*h - 73084520304 = 0. -199, 38328 Solve 3*m**5 + 7611*m**4 + 52848*m**3 - 714084*m**2 - 1578720*m = 0 for m. -2530, -13, -2, 0, 8 What is j in -j**3 - 21851*j**2 + 131158*j + 349712 = 0? -21857, -2, 8 Determine h, given that 4*h**2 + 865062408*h + 46770810608422404 = 0. -108132801 Solve 4*x**4 + 36660*x**3 + 1424552*x**2 + 8176896*x = 0 for x. -9126, -32, -7, 0 Let -4*y**2 + 107612*y + 14817920 = 0. Calculate y. -137, 27040 Find g such that -2*g**5 - 89630*g**4 - 1075186*g**3 + 3852998*g**2 - 2688180*g = 0. -44803, -15, 0, 1, 2 Determine i so that -2*i**3 + 17604*i**2 - 876418*i + 10659936 = 0. 21, 29, 8752 Solve 2*d**2/5 + 339692*d + 72119159290 = 0 for d. -424615 Suppose -6*r**4/11 + 307326*r**3/11 - 307290*r**2/11 - 1536582*r/11 - 921960/11 = 0. What is r? -1, 3, 51220 Suppose -196*j**4 + 947408*j**3 - 1134405976*j**2 - 25301884080*j - 139793732100 = 0. Calculate j. -11, 16995/7 Let 5*y**5 - 96095*y**4 + 192165*y**3 + 96095*y**2 - 192170*y = 0. What is y? -1, 0, 1, 2, 19217 Factor 4*m**3 - 88132*m**2 + 2288620*m + 2376756. 4*(m - 22007)*(m - 27)*(m + 1) Determine d so that 4*d**2 + 7150896*d - 42905520 = 0. -1787730, 6 Factor t**4 + 18*t**3 - 324*t**2 + 1080*t. t*(t - 6)**2*(t + 30) Factor 3*d**3/5 - 202506*d**2 - 8100432*d/5. 3*d*(d - 337518)*(d + 8)/5 Factor 1682*z**3 - 62236*z**2 + 74*z. 2*z*(z - 37)*(841*z - 1) Solve -3*p**5 + 4026*p**4 - 4023*p**3 = 0. 0, 1, 1341 Factor -b**2/5 - 34048*b/5 - 92498367/5. -(b + 2977)*(b + 31071)/5 Factor 5*v**3 + 1992380*v**2 + 27892340*v. 5*v*(v + 14)*(v + 398462) Let -2*r**5 - 1488*r**4 - 298834*r**3 - 18670252*r**2 - 71142456*r - 69970832 = 0. Calculate r. -466, -137, -2 Factor -3*i**2 - 131619*i - 658020. -3*(i + 5)*(i + 43868) Suppose -2*f**2/9 + 3002*f/9 + 71128/3 = 0. What is f? -68, 1569 Factor -2*l**2/17 + 6271604*l/17 - 4916627091602/17. -2*(l - 1567901)**2/17 Solve 2*t**5 + 61196*t**4 - 2082982*t**3 - 183592*t**2 + 6126536*t + 4165952 = 0 for t. -30632, -1, 2, 34 Factor -2*x**2 + 22246*x + 1860196. -2*(x - 11206)*(x + 83) Solve -2087*p**3/3 + 238613*p**2 + 239538*p + 688/3 = 0 for p. -1, -2/2087, 344 Factor q**3/7 - 91369*q**2/7 + 456824*q/7 - 52208. (q - 91364)*(q - 4)*(q - 1)/7 Suppose -d**4/3 + 8336*d**3/3 - 555754*d**2 + 3309520*d/3 - 1650593/3 = 0. Calculate d. 1, 203, 8131 Factor -5*c**3 + 11905*c**2 - 685520*c - 8920562700. -5*(c - 1558)**2*(c + 735) Suppose 5*m**3 - 1100*m**2 - 113055*m + 716850 = 0. What is m? -81, 6, 295 Solve -46*g**2 - 38848*g - 905856 = 0 for g. -18872/23, -24 Let 18*p**5 + 13422*p**4 + 2360444*p**3 - 795772*p**2 - 1315342*p - 262770 = 0. What is p? -461, -285, -1/3, 1 Find r, given that 2*r**2/3 + 229077152*r/3 + 6559542696053888/3 = 0. -57269288 Determine k so that 15*k**2 + 34405*k + 1119030 = 0. -6782/3, -33 Find l such that -4*l**5 + 1060*l**4 + 44184*l**3 + 158576*l**2 - 1198112*l + 1391616 = 0. -32, -9, 2, 302 Find k such that 5*k**4 + 12070*k**3 - 1625615*k**2 + 3215000*k - 1601460 = 0. -2542, 1, 126 Find h such that 3*h**4 + 3579*h**3 + 1426809*h**2 + 191487789*h + 561718476 = 0. -397, -396, -3 Let -2*i**3 + 2582*i**2 + 44472*i = 0. What is i? -17, 0, 1308 Factor 5*q**3 - 30350*q**2 - 5656255*q - 5625900. 5*(q - 6251)*(q + 1)*(q + 180) Factor -r**3/2 - 427*r**2/2 - 18019*r/2 - 187833/2. -(r + 17)*(r + 29)*(r + 381)/2 What is i in 4*i**2 - 749464832*i + 35106095900299264 = 0? 93683104 Factor 5*k**3 + 680435*k**2 + 12246210*k. 5*k*(k + 18)*(k + 136069)
What is 0.03 minus 0.0784? -0.0484 0.39 + 1.72 2.11 What is 3.38 + 0.7? 4.08 What is 1 minus 1.4557? -0.4557 What is -909.9 take away -0.86? -909.04 What is 96604 minus -0.3? 96604.3 What is -224.81 take away -0.013? -224.797 Work out 0.042 + -14.1. -14.058 What is -1.8 - 106700? -106701.8 0.4+-478 -477.6 Add together -251 and -9. -260 What is -7 take away -0.2029? -6.7971 Put together -0.2 and -1498. -1498.2 Subtract -2.619 from 3. 5.619 Subtract 100956 from 15. -100941 Work out -1499 + -1038. -2537 -0.2+-5193 -5193.2 -5.3 - -112 106.7 What is -1.6 minus 0.089? -1.689 Subtract 434 from -2.84. -436.84 What is the distance between 4 and -2005? 2009 Subtract 1348 from 0.1. -1347.9 What is 0.1 minus -929? 929.1 Subtract -912 from -0.6. 911.4 What is 2.45 less than 7136? 7133.55 0.042 - 290 -289.958 -0.162 + -14 -14.162 What is 1887 less than 0.4? -1886.6 What is 223 - -4.9? 227.9 What is -53.7 take away -0.1803? -53.5197 What is -0.964 - 0.2? -1.164 What is -0.03 plus 1.7437? 1.7137 Sum -19.95 and 149. 129.05 Sum 0.3 and -0.7962. -0.4962 Work out -5634 - 6. -5640 What is -65 plus 0.01? -64.99 Calculate 9 - 14.972. -5.972 8460 - 0.1 8459.9 Subtract 0.082658 from -19. -19.082658 Add together 0.01 and -0.81. -0.8 Add 1274 and 0.135. 1274.135 Sum 2.92 and 976. 978.92 What is 0.8 plus -0.83? -0.03 What is the distance between 0 and -2160? 2160 What is 432750 + 0.1? 432750.1 What is 1480 plus 0.3? 1480.3 Subtract -0.355 from -0.8. -0.445 2+-1014166 -1014164 What is 0.346 + -9? -8.654 Work out 1.25332 + -1. 0.25332 Work out -289 - 391. -680 Put together 6 and -522965. -522959 Work out 2 - -27664. 27666 What is 16 - -2.98? 18.98 Add 0.02343 and -0.4. -0.37657 Calculate 3523 - 187. 3336 Sum 0.004709 and 0.4. 0.404709 What is the difference between 5 and -188.104? 193.104 What is the difference between 0.01539 and 12? 11.98461 Total of 3945 and 36. 3981 What is the distance between -0.4 and -35391? 35390.6 What is 7.55 less than -5? -12.55 Put together 8201.04 and 0.5. 8201.54 Calculate -573 - -18.6. -554.4 -17 + -7 -24 129.1 - 5 124.1 What is 544 + 100? 644 What is 0.02 take away -104700? 104700.02 Add together 0.13 and 123840. 123840.13 Put together 52 and -470. -418 -0.03 - 583 -583.03 Calculate -163 - 489. -652 Subtract -1 from -0.2699. 0.7301 What is the difference between -0.3 and 509? 509.3 What is -278 take away 4? -282 Work out -0.241 - 4. -4.241 What is -0.4 minus 883.51? -883.91 What is 7 minus 149950? -149943 1 - 1173 -1172 What is 3 take away -62342? 62345 6.1593 + -14 -7.8407 Subtract 1 from 1520557. 1520556 0.74+-4 -3.26 What is -0.2 plus -904? -904.2 Total of 87673 and 0.3. 87673.3 -0.22 - 84624 -84624.22 What is the difference between 0.017 and 0.277? 0.26 0.65 + -22.304 -21.654 What is the difference between 96355 and -7? 96362 Work out -2706 + -0.5. -2706.5 Calculate 5248.44 + 5. 5253.44 Work out 3456 + 221. 3677 Work out 0.06 - -123557. 123557.06 750004 + 1 750005 Subtract -0.187209 from 1. 1.187209 Total of -707 and -0.369. -707.369 Add together -94 and 2.9. -91.1 What is the distance between 0.001 and -0.441? 0.442 What is the difference between -407 and 11.29? 418.29 Work out 9 + 0.69907. 9.69907 -2.262 + -35.54 -37.802 What is -0.7982 minus 13? -13.7982 What is -19907.047 - -0.5? -19906.547 Total of 2245.93 and -5. 2240.93 448+-0.136 447.864 Total of -380903 and -2. -380905 Subtract 31.2 from -0.4. -31.6 What is the difference between 95482 and -0.07? 95482.07 Add 0.02 and -0.1421. -0.1221 What is -151.1 minus -1? -150.1 What is -70.91 - -1? -69.91 -2 + -0.29267 -2.29267 Calculate 230 + 0.28. 230.28 What is 75 less than -32430? -32505 What is 526.4 + 0.2? 526.6 What is -0.008322 + -1.91? -1.918322 What is 14 less than 0.047? -13.953 What is 0.3328 - -0.2? 0.5328 4+-5582.3 -5578.3 Add together 0.1 and -0.2668. -0.1668 Calculate -0.0344 + 2. 1.9656 What is 68852 - -0.3? 68852.3 What is -33.981 + -0.5? -34.481 Work out 0.0043 - 0.059. -0.0547 Add 9335 and 737. 10072 What is the distance between 1 and -2.29? 3.29 -2 + 3.5934 1.5934 15.7964 - -3 18.7964 Work out -2 - 686. -688 What is -86622 take away 0.16? -86622.16 0.2+209 209.2 -14 + 0.031 -13.969 What is -0.04 - -0.8? 0.76 Add together -7367 and 7.1. -7359.9 What is the difference between 0.37338 and 2? 1.62662 What is 25.99 minus -0.06? 26.05 -1+-32116 -32117 Put together 0.0427 and 1. 1.0427 0.192+-3419 -3418.808 Calculate 5 + -0.0424. 4.9576 What is the difference between -51.6 and -0.2? 51.4 What is 39 take away -6174? 6213 Put together 113 and -2.3. 110.7 What is the distance between 5 and 28522? 28517 What is 0.16 - 0.1186? 0.0414 -1.7 + 45 43.3 What is 1384.7 plus 1? 1385.7 Total of 0.478 and -0.5. -0.022 What is the distance between 15681 and -0.1? 15681.1 Work out 22 - 882. -860 -5894 - -9 -5885 What is -0.4 + 9.1087? 8.7087 Work out -4 + -1533. -1537 What is the difference between -54 and 1.34091? 55.34091 What is -92193 plus -2? -92195 What is 17 minus 0.3187? 16.6813 What is -31449 minus 25? -31474 0.5 + 293.86 294.36 -15.1 - -0.09 -15.01 Subtract 0.04 from -18.5737. -18.6137 Subtract 0.2 from -246.357. -246.557 Add 0.5 and -346.3. -345.8 Put together -210 and 1. -209 Calculate 6692.17 - 0.3. 6691.87 Calculate -293 + 76. -217 Work out 6916.14 - -2. 6918.14 Add together -0.5 and -23920. -23920.5 Work out -0.166 - -0.03. -0.136 What is 0.0648 less than -91.43? -91.4948 What is the distance between 46 and -1669? 1715 What is -23 + 58? 35 What is -0.206 less than -0.33? -0.124 Calculate -4.3925 + 0.5. -3.8925 -9+-0.026 -9.026 What is 1419 minus -1.4? 1420.4 What is 19.83 - 31.8? -11.97 -62 - -0.06 -61.94 0.7 - -1343 1343.7 What is -2040 plus -0.07? -2040.07 What is 6.122 less than 1? -5.122 What is -0.07 take away 369? -369.07 -826+12 -814 -0.02563 + -0.0354 -0.06103 Total of -21633 and 0.09. -21632.91 What is -0.03 + 1.8? 1.77 Work out 0.06 - 1407. -1406.94 Put together 3 and -0.5232. 2.4768 Add -0.3 and -1661. -1661.3 -6 + -0.042845 -6.042845 Add together -0.2815 and 4. 3.7185 Subtract -0.3 from 0.51187. 0.81187 Sum 1339554 and 4. 1339558 What is 66.1 plus -0.4? 65.7 Calculate -1 - -624. 623 Work out 0.023 + -3.569. -3.546 Calculate 29316 + 0.095. 29316.095 694+-0.01 693.99 Calculate -0.03 + -23832.7. -23832.73 824.9 + -0.1468 824.7532 What is -19.3 less than 9.5? 28.8 -535 - 0.0288 -535.0288 Total of 0.1 and -4.347. -4.247 Sum 3 and 581.6. 584.6 Add -1 and -2386.2. -2387.2 What is 0.38 + 0.12? 0.5 0.1 + 693 693.1 Calculate 0.3 + -54458.4. -54458.1 Calculate -0.3584 - 0.296. -0.6544 What is -17 minus 42? -59 Calculate 88.201 - -1.54. 89.741 Add -4 and -1.574. -5.574 -1 - 533 -534 0.16683 - -3 3.16683 0.1 + 1421.9 1422 What is 3 less than 0.59613? -2.40387 Calculate -1609 + -0.24. -1609.24 What is -3 minus 0.33948? -3.33948 What is -4 + 68.6? 64.6 Work out -2 + 260405. 260403 Add together -1.41 and -38. -39.41 Add together -44.704 and 0.19. -44.514 What is the difference between 0.4 and -730? 730.4 279378+5 279383 What is -1 plus 0.1817831? -0.8182169 Calculate -4 - -0.44111. -3.55889 Sum 0.1 and -0.13975. -0.03975 Work out 0.641 + 44. 44.641 What is the distance between 2.9 and 0.687? 2.213 2.632 + 0.49 3.122 -2643.48+37 -2606.48 What is 0.0450915 minus 5? -4.9549085 0.11+-494 -493.89 What is 28.3 minus 5? 23.3 What is -3.7 minus -3607.8? 3604.1 Total of -137.317 and -6. -143.317 Put together 0.1 and 25926. 25926.1 49 - 122 -73 Add -1601 and -3.99. -1604.99 Sum -13 and -0.24. -13.24 0.02305 - 0.5 -0.47695 Subtract 2.9 from 0.6997. -2.2003 9.9 + -5 4.9 What is 310 + 0.1? 310.1 What is 50 plus -0.3595? 49.6405 What is -0.1 plus -0.0881? -0.1881 Add -247 and -5248. -5495 Work out 353 + 0.64. 353.64 What is -3 less than -1.9066? 1.0934 -1563 + -12 -1575 What is the distance between 0.1 and 77287? 77286.9 Subtract 55 from 1.9. -53.1 -2.55 - 0.1 -2.65 Sum 2467206 and 0.4. 2467206.4 What is 10 + 0.6346? 10.6346 What is 31264 plus -0.4? 31263.6 What is 8540 - 19? 8521 Add -42179 and 0. -42179 0.408+1045 1045.408 Subtract -651 from 987. 1638 Put together 146009.1 and -0.06. 146009.04 33092+4 33096 Put together -4410 and 2. -4408 5 + -20099 -20094 Total of 5 and -113. -108 What is 0.3 less than -5956.73? -5957.03 What is 5.719 + -0.082? 5.637 What is 0.1 - -62856? 62856.1 Work out -4 - 291. -295 Work out 0.3 - 2696. -2695.7 What is 0.031 minus 1.08? -1.049 What is -11 less than -0.06546? 10.93454 -3 - -671.3 668.3 0+-432 -432 Subtract -251 from -0.2. 250.8 -496+305 -191 What is -1 - 15704? -15705 Work out 2630 - 101. 2529 What is the distance between -1339.1 and -0.2? 1338.9 Total of -7 and 1728. 1721 Calculate -0.1303 + 3. 2.8697 What is -15340 minus -0.06? -15339.94 Put together -0.02338 and 9. 8.97662 Sum -61 and -0.018. -61.018 Calculate 5 + 787. 792 What is -1.5 take away 9.2? -10.7 Sum 0.4 and 187498. 187498.4 What is -1.508 less than 0.05? 1.558
Let s(a) = -a - 6. Let b(h) = 35 - 4*h - 16 + h + 7*h. Give -2*b(o) - 7*s(o). -o + 4 Let w(c) = -161*c**3 - 119*c**2 - 119*c. Let j = 1503 - 1384. Let d(q) = 8*q**3 + 6*q**2 + 6*q. Determine j*d(x) + 6*w(x). -14*x**3 Let q(h) = 9*h**2 + 6*h + 13. Let p(u) = 13*u**2 + 10*u + 20. Determine -5*p(g) + 8*q(g). 7*g**2 - 2*g + 4 Let t(p) = -143*p**3 - 44*p**2. Let j(a) = -16*a**3 - 5*a**2. Let i be (-35)/(-70) - 11/2. Calculate i*t(s) + 44*j(s). 11*s**3 Let h(a) = a**2. Let q(v) = 186*v**2 - 27*v - 27. Let s(t) = -27*t**2 + 4*t + 4. Let j(x) = -4*q(x) - 27*s(x). Calculate 66*h(l) + 4*j(l). 6*l**2 Let z(i) = 8*i - 2. Let t(n) = -9*n + 1. Give 5*t(q) + 4*z(q). -13*q - 3 Let n(c) = -6969*c - 202. Let l(i) = 104*i + 3. What is -202*l(a) - 3*n(a)? -101*a Let p(b) = 602*b - 12. Let o(v) = -603*v + 14. Calculate 5*o(m) + 6*p(m). 597*m - 2 Let w(c) = c + 7. Let x(f) = -2*f - 17. Let g(m) = -5*w(m) - 2*x(m). Let u(k) = k. Determine g(v) - 2*u(v). -3*v - 1 Let x = 3868 + -3873. Let t(p) = -p**3 - 5*p**2. Let j(h) = -h**3 - 4*h**2. Let q be -6*((-3)/2 - 0). Suppose -4*m + 7 + q = 0. What is m*t(f) + x*j(f)? f**3 Let t(q) = -13*q**3 + q - 12. Let n(h) = h**3 - h + 2. Give -6*n(c) - t(c). 7*c**3 + 5*c Let u(d) = d**2 - 1. Let k(o) = 65. What is k(n) + 65*u(n)? 65*n**2 Let b(z) = -z**2 + 10*z. Let m be (-9)/(5/(70/21)). Let r(s) = -s**2 + 9*s. What is m*r(p) + 5*b(p)? p**2 - 4*p Let b(i) = 1499*i**3 + 5*i**2 + 10*i. Let u(l) = l**3 + l**2 + 2*l. What is b(c) - 5*u(c)? 1494*c**3 Let c = -2 + 5. Let y(b) = -c*b + 6*b - 2 + 0*b. Let s(x) = -x**2 - 7*x + 4. Suppose -4*t = 5*g - 80 + 62, -2*t = -5*g + 6. Give g*s(n) + 5*y(n). -2*n**2 + n - 2 Let w(q) = 2. Let s(c) = 2 - 22*c**2 - 10 + 42*c**2 - c - 22*c**2. Let u(t) = 2*s(t) + 6*w(t). Let z(h) = -h**3 - h**2 - 1. Calculate -u(p) + 4*z(p). -4*p**3 + 2*p Let a(o) = 5*o + 10. Let s(m) = -26*m - 30. Let t(h) = -6*h - 7. Let f(k) = 2*s(k) - 9*t(k). Calculate -3*a(r) + 10*f(r). 5*r Suppose -17 = -3*t + k + 3, 2*t + 4*k = 4. Let h(x) be the third derivative of x**4/24 - 45*x**2. Let v(a) = 9*a. Give t*h(y) - v(y). -3*y Let v(c) be the second derivative of -7*c**5/10 - 5*c**4/12 - 5*c**2/2 + 3*c. Let j(l) = 13*l**3 + 4*l**2 + 4. What is 5*j(g) + 4*v(g)? 9*g**3 Suppose 0 = 3*b + 8 - 50. Let z(a) = -b + 10 + 0*a + a + 0*a. Let t(r) be the first derivative of r**2 - 9*r - 2. What is 2*t(f) - 5*z(f)? -f + 2 Let h(j) = 26*j**2 + 4*j**2 - 6*j**2 - 143*j - 68 - 75 + 97*j**2. Let q(k) = 5*k**2 - 6*k - 6. Calculate 6*h(z) - 143*q(z). 11*z**2 Let k(s) be the first derivative of -3*s - 1. Let q(g) = -g + 1. Suppose 4*y - 3*y - 23 = -2*b, -5*y = b - 25. Suppose -b = 8*t - 3*t. Give t*q(x) - k(x). 2*x + 1 Let l(r) = -9*r**3 + 15*r**2 - 7*r. Let u(b) be the third derivative of b**6/30 - 7*b**5/60 + b**4/8 - 65*b**2. Give 3*l(k) + 7*u(k). k**3 - 4*k**2 Let f(p) = 0 - p**2 + 7*p**2 + 6 - p**2. Let b(r) = -1. Let i(k) = -2. Let w(c) = b(c) - i(c). Give -f(s) + 6*w(s). -5*s**2 Let h(j) = -j - 26. Let b(l) = -5*l - 139. Give 4*b(v) - 22*h(v). 2*v + 16 Let k(u) = -6*u + 2. Let f(i) = -7*i + 3. Let z = -1 - -14. Suppose -z - 5 = 6*p. Determine p*f(g) + 4*k(g). -3*g - 1 Let i(v) = 17*v**3 - 6*v**2 - 6*v. Let b(o) = -34*o**3 + 13*o**2 + 13*o. Let u = -2061 + 2067. Give u*b(a) + 13*i(a). 17*a**3 Let w(p) = 3*p**2 + p + 4*p**3 - 7 + 10*p**2 + 4*p - 7*p**2 + p**2. Let s(x) = x**3 + x**2 + x - 1. Give 5*s(o) - w(o). o**3 - 2*o**2 + 2 Let y(p) be the second derivative of -p**4/3 + 5*p**3/6 - 15*p**2/2 - p. Let n = 6746 - 6755. Let m(d) = -2*d**2 + 2*d - 7. Determine n*m(t) + 4*y(t). 2*t**2 + 2*t + 3 Let p be 2/8 + 4/(16/27). Suppose -p*n = -7 - 0. Let b(a) = 6*a. Let d(x) be the third derivative of x**4/24 + x**2. What is n*b(t) - 5*d(t)? t Let n(y) = -13*y**3 - 2*y**2 + 13*y + 22. Let d(u) = -6*u**3 - u**2 + 7*u + 12. Determine -11*d(f) + 6*n(f). -12*f**3 - f**2 + f Let p(y) be the first derivative of -y**2/2 + y - 557. Let m(x) = 6*x + 1. Calculate 2*m(l) + 14*p(l). -2*l + 16 Let r(j) = -600*j - 15. Let m(t) = -150*t - 4. Calculate -15*m(s) + 4*r(s). -150*s Let i(q) = 2*q**3 - 9*q**2 - 11. Let w = -48 + 50. Suppose -5*b = -h - w, -13 = 3*h - 2*b + 6. Let x(n) = n**3 - 4*n**2 - 5. Determine h*x(c) + 3*i(c). -c**3 + c**2 + 2 Let v(i) = -10*i**2 - 8*i + 1. Let w(j) be the third derivative of -29*j**5/60 - 23*j**4/24 + j**3/2 - 233*j**2. Give -17*v(r) + 6*w(r). -4*r**2 - 2*r + 1 Let f(k) = -3*k**3 + 2*k - 7. Let v(b) = 4*b**3 - 3*b + 8. Suppose 3*u + 32 = 7*u. Let y be 10/u*(1 + 3). Give y*v(r) + 6*f(r). 2*r**3 - 3*r - 2 Let k(j) = 2*j - 116. Let i(b) = -1. Calculate -5*i(s) + k(s). 2*s - 111 Let r(p) = -175*p**2 + 5*p + 41. Let k(y) = 263*y**2 - 7*y - 58. Calculate 5*k(t) + 7*r(t). 90*t**2 - 3 Let q(l) = l - 1. Let c be q(-4). Let t(m) = 5*m - 6. Let d(h) be the third derivative of -h**4/6 + 5*h**3/6 - 36*h**2. Determine c*t(j) - 6*d(j). -j Suppose 0 = 6*l - 28 - 8. Let p(i) = 1. Let c(v) = 2*v + 8. What is l*p(s) - c(s)? -2*s - 2 Let u(p) be the second derivative of 22*p + 0 + p**3 - 5/2*p**2. Let a(x) = -7*x + 6. Calculate -4*a(t) - 5*u(t). -2*t + 1 Suppose -4*m = -3*m - 2. Let a(x) = -x + 4. Let q(w) = -3. Let j(s) = -s**2 + 11*s - 6. Let z be j(11). Let b be z/(-10) - 12/(-5). Calculate b*q(h) + m*a(h). -2*h - 1 Let f(c) = 2*c**2 + c - 5. Suppose 3*o + 5*i + 21 = 0, -4*i = -o + 4*o + 21. Let m(g) = -2*g**2 - g + 6. Give o*f(z) - 6*m(z). -2*z**2 - z - 1 Let x(l) = -17*l + 27. Let i(u) = -34*u + 50. What is 3*i(m) - 5*x(m)? -17*m + 15 Let b(p) = -65*p + 5. Let c(g) = 2*g - 1. Determine -b(h) - 5*c(h). 55*h Let i(x) = -5*x. Suppose -t + 134 = 99. Let a(u) = -45*u. Determine t*i(z) - 4*a(z). 5*z Let o(d) = 7*d + 0 - 1 - 5*d + 6*d. Suppose -4*w + 27 = 3. Let j(x) = -17*x + 2. Give w*j(r) + 13*o(r). 2*r - 1 Let n(b) = 440*b**2 - 100*b + 100. Let g(q) = -220*q**2 + 50*q - 50. Let x(u) = -5*g(u) - 2*n(u). Let v(a) = 13*a**2 - 3*a + 3. Calculate 50*v(d) - 3*x(d). -10*d**2 Let x(m) = m**3 + m**2 + m + 1. Let c(y) = y**3 - 24*y**2 + 2*y - 1. Give -c(r) + 2*x(r). r**3 + 26*r**2 + 3 Let a(l) = 56*l**2 - 2*l + 6. Let f(u) = 110*u**2 - 3*u + 10. Determine 5*a(k) - 3*f(k). -50*k**2 - k Let x(n) = 3*n - 1. Let q(b) = 27*b + 2. Let w(u) = 33*u + 2. Let y(t) = -6*q(t) + 5*w(t). Calculate 4*x(g) - 3*y(g). 3*g + 2 Let x(n) = n - 4. Let b(i) be the third derivative of i**4/24 - i**3/6 - 11*i**2. Let h(y) be the first derivative of b(y). Determine 3*h(l) + x(l). l - 1 Let n(a) = -a**3 + 15*a**2 - 37*a - 88. Let r be n(11). Let b(o) = -5*o**2 + 6*o + 3. Let i(p) = -14*p**2 + 17*p + 8. Let m = 1 + 3. Calculate m*i(t) + r*b(t). -t**2 + 2*t - 1 Let x(q) = -5*q**2 - 4*q - 3. Let j = 20 - 18. Suppose j*c = -3 + 25. Let s(d) = 2*d - 13*d - c - 14*d**2 + 0*d + 3. Give -3*s(t) + 8*x(t). 2*t**2 + t Let d(p) = p - 1. Let v = 7 + 25. Suppose -4*q + 4*n = -v, -n = 3*q + 2*n - 12. Let a(z) = 8*z - 6. Determine q*d(y) - a(y). -2*y Let j(r) = -1680*r**3 - 16*r**2 - 16*r. Let a(i) = -336*i**3 - 3*i**2 - 3*i. What is 16*a(z) - 3*j(z)? -336*z**3 Let g(k) = -11*k**3 + 5*k**2 - 6*k - 30. Let p(y) = 2*y**3 - y**2 + y + 4. Calculate -g(o) - 6*p(o). -o**3 + o**2 + 6 Let v(j) = 2*j**3 - 7*j - 121. Let x(q) = -2*q**3 + 6*q + 119. Calculate -6*v(m) - 7*x(m). 2*m**3 - 107 Let s(i) = 4*i**3 - 8*i**2 - 3*i - 2. Let z(y) = -2*y**2 - y. What is s(l) - 4*z(l)? 4*l**3 + l - 2 Let m(c) = -5*c**2 - 6*c - 5. Let f = -247 - -255. Let p(k) = -3*k**2 - 4*k - 3. Give f*p(v) - 5*m(v). v**2 - 2*v + 1 Let w(o) = o**2 - 3*o + 1. Suppose -2*z = -4, 13*m = 15*m + 2*z. Let d(h) = h**2 - 3*h + 1. What is m*w(n) + 3*d(n)? n**2 - 3*n + 1 Let b(h) = -235*h**2 - 5*h + 5. Let w(k) = 233*k**2 + 4*k - 4. Give 4*b(s) + 5*w(s). 225*s**2 Let u(l) = -10*l**2 - 5*l + 12. Let h(d) = -12*d**2 - 6*d + 12. Determine 3*h(m) - 4*u(m). 4*m**2 + 2*m - 12 Let b(o) = -o - 2. Let r(a) = 5*a + 27. Give -4*b(d) - r(d). -d - 19 Let d(a) = -3*a - 4 + 3 - 2 - 3*a**2. Let p = 1525 - 1527. Let y(k) = -3*k**2 - 2*k - 2. Give p*d(t) + 3*y(t). -3*t**2 Let r(k) = -3*k - 3. Let o(g) = 3*g + 3. Let u = 1003 - 1008. What is u*o(m) - 6*r(m)? 3*m + 3 Let w(b) = 10*b - 1. Let j(u) be the third derivative of 13*u**4/8 - 5*u**3/6 - 212*u**2. Calculate 2*j(o) - 9*w(o). -12*o - 1 Let v(z) = 107*z**2 - 29*z + 3. Let o(c) = -213*c**2 + 53*c - 5. Determine -6*o(g) - 11*v(g). 101*g**2 + g - 3 Let r(q) = -2*q**2 - 2. Let k(b) = -3*b**2 + b**2 + 146 - 148. Give -6*k(h) + 5*r(h). 2*h**2 + 2 Let s(f) = -f + 2. Let k = 531 + -198. Let w(q) = -8 + 2 + 337*q - k*q. Give 7*s(c) + 2*w(c). c + 2
What are the prime factors of 965403165? 3, 5, 6143, 10477 What are the prime factors of 141444887? 141444887 List the prime factors of 3610311707. 491, 7352977 What are the prime factors of 6843511? 6843511 What are the prime factors of 94393669? 94393669 What are the prime factors of 138476770? 2, 5, 43, 322039 What are the prime factors of 29450746? 2, 13, 1132721 What are the prime factors of 6809487848? 2, 851185981 List the prime factors of 24067029. 3, 7, 1146049 List the prime factors of 563384594. 2, 53, 109, 48761 List the prime factors of 13949627. 443, 31489 What are the prime factors of 40361930? 2, 5, 7, 653, 883 What are the prime factors of 1133282761? 13, 87175597 List the prime factors of 3258617332. 2, 3433, 237301 List the prime factors of 1706200714. 2, 853100357 List the prime factors of 91645716. 2, 3, 7637143 What are the prime factors of 804479342? 2, 19, 101, 179, 1171 What are the prime factors of 1082089330? 2, 5, 7, 19, 813601 What are the prime factors of 393492611? 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False Is 1795002 a multiple of 175? False Is 9933308 a multiple of 77? True Does 10 divide 27356? False Does 808 divide 675488? True Is 637 a factor of 97461? True Is 9642 a multiple of 117? False Is 68671 a multiple of 40? False Does 429 divide 940673? False Does 10 divide 336926? False Is 628096 a multiple of 32? True Is 15048956 a multiple of 13? True Does 129 divide 2757891? True Does 32 divide 371150? False Does 16 divide 4063576? False Is 16 a factor of 78486? False Does 33 divide 7941318? True Does 19 divide 626506? True Is 129 a factor of 4502904? False Is 265 a factor of 363580? True Is 143 a factor of 540540? True Does 19 divide 15179105? False Is 597 a factor of 3701997? True Is 28 a factor of 1532403? False Does 208 divide 27664? True Is 1944288 a multiple of 774? True Is 72 a factor of 64080? True Is 433 a factor of 1256566? True Is 662220 a multiple of 117? True Is 1188216 a multiple of 128? False Is 43 a factor of 45328? False Does 67 divide 8755292? True Is 766834 a multiple of 12? False Is 59088 a multiple of 207? False Is 63882 a multiple of 19? False Does 850 divide 868968? False Does 544 divide 5341043? False Is 766301 a multiple of 18? False Is 1663354 a multiple of 98? True Is 2014389 a multiple of 192? False Is 11 a factor of 98131? True Is 72640 a multiple of 160? True Is 157797 a multiple of 120? False Is 40 a factor of 467323? False Is 2 a factor of 137316? True Is 361395 a multiple of 15? True Does 6 divide 102478? False Is 7 a factor of 516957? True Is 18 a factor of 712134? True Does 5 divide 111222? False Is 18 a factor of 123498? True Is 589085 a multiple of 63? False Is 4 a factor of 49444? True Is 339199 a multiple of 5? False Is 145 a factor of 49010? True Is 880674 a multiple of 37? True Is 627 a factor of 45144? True Is 32 a factor of 283840? True Is 105798 a multiple of 33? True Is 2301894 a multiple of 42? True Is 1034312 a multiple of 8? True Does 5 divide 4157414? False Does 122 divide 1027850? True Is 7 a factor of 736729? True Does 35 divide 147126? False Does 10 divide 732750? True Is 5 a factor of 2090192? False Is 22869 a multiple of 9? True Does 3 divide 5545284? True Does 152 divide 10336? True Does 93 divide 1413212? False Does 34 divide 171893? False Is 27 a factor of 121635? True Is 25396 a multiple of 17? False Is 1036273 a multiple of 762? False Is 816920 a multiple of 112? False Is 21 a factor of 5362581? True Is 200836 a multiple of 236? True Is 961664 a multiple of 88? True Is 784899 a multiple of 39? False Does 20 divide 30180? True Is 631752 a multiple of 66? True Is 1785464 a multiple of 8? True Does 18 divide 1652202? True Is 1275100 a multiple of 100? True Is 54412 a multiple of 61? True Is 6223996 a multiple of 1712? False Does 1151 divide 890854? False Is 68351 a multiple of 3? False Is 4997817 a multiple of 627? True
Suppose 0 = 3*z - 9. Is (-119)/3*(0 - z) a prime number? False Let i(m) = -m**3 + 2*m**2 + 3*m - 1. Let y be i(-3). Suppose -12 + y = r. Is r composite? False Let u(j) = j**3 - 3*j**2 + j + 2. Let m be 3*4/6*1. Let p be u(m). Suppose 2*x + 5*i - 2*i - 146 = p, -4*x = -2*i - 324. Is x composite? False Suppose 0 = y + 4*w - 9, -y + 5 = -2*w + 4*w. Let l be (y/2)/(1/10). Suppose -l*s - 5 = 20, 0 = 2*o + 2*s - 32. Is o prime? False Let l(x) = x + 12. Let w be l(0). Let f = -10 + w. Suppose 4*o - 952 = -4*u, 5*u + 1150 = 5*o + f*u. Is o prime? True Let m(b) = b**3 - 4*b**2 - 6*b + 5. Let g(r) = r**3 + r + 5. Let l be g(0). Let p be m(l). Suppose f + 5*n = -2*f + 185, p = 5*n - 20. Is f composite? True Let o(p) = -p**2 + p - 1. Let q(r) = 3*r**2 - 11*r + 7. Let v(z) = -4*o(z) - q(z). Let b be v(-8). Suppose -b*i + 366 + 164 = 0. Is i a composite number? True Let v(w) = w**2 - 3*w + 3. Let z be v(3). Let s = 343 - 24. Suppose -s = -z*j + 116. Is j a composite number? True Let i = -4 + 7. Suppose -i*a + a + 586 = -h, 0 = -h. Is a a composite number? False Let c be 1*(-1081 + 1)/(-4). Suppose 2*y - 5*h - 54 - 57 = 0, c = 5*y - 5*h. Is y prime? True Let p(s) = s**2 + 5*s - 1. Let n be p(-6). Let t = 413 + -28. Suppose t = n*j - 0*j. Is j a composite number? True Suppose o + 2*q = -2*o + 351, -464 = -4*o - 4*q. Let r = o + -52. Is r a composite number? False Let m(o) = -o + 6*o + 2*o. Suppose 0 - 20 = -4*a. Is m(a) a composite number? True Suppose -2*u - 1 = 7, 3*w = 3*u - 57. Let j = 57 - w. Let d = j - 43. Is d prime? True Let m(q) = 3*q - 5. Let f be m(3). Suppose 0 = f*a + 2*p - 354, -3*a - p + 268 = -0*a. Is a a prime number? False Suppose 2*h - 6803 = -5*u, -h = -9*u + 8*u + 1362. Is u a prime number? True Suppose 0 = 5*n - 6*n + 6. Suppose n*u = u + 115. Is u a composite number? False Suppose -5*r = 0, -c = -6*r + r + 10. Is 13656/40 - (-4)/c a composite number? True Suppose 0 = 3*z, 4*i - 655 = -4*z + 1237. Is i composite? True Suppose -b + 144 = 4*l, 2*l = 5*b + 7*l - 705. Suppose 4*x = 1152 - b. Is x a prime number? False Suppose -83 = -4*l + 21. Let p(d) = -d**2 + 5*d - 2. Let a be p(2). Suppose 47 = a*t - 3*c, -2*t + 5*c = c - l. Is t composite? False Suppose -4*a + 16 = -132. Is a a prime number? True Let c = -362 + 646. Suppose -w = -5*m + 741, 4*m - 2*w - 304 = c. Is m composite? False Is (-324)/(-14) + (-3)/21 composite? False Suppose -2*i = i + 3*x - 378, -4*i = -2*x - 486. Let r = 182 - i. Is r prime? True Suppose -4*m - 20 = -2*w, -w - 4*m - 20 = -0*m. Suppose w = -6*o + 3*o + 6. Let i(c) = 4*c**2 - c - 1. Is i(o) prime? True Let a be 1/(-4) - (-3976)/32. Suppose a = 4*o - 112. Is o prime? True Let l(k) = -4*k**2 + 4*k + 2*k**2 + k**2 + k + 3. Suppose 2*m - 3*g + 0*g + 1 = 0, -7 = 2*m - 5*g. Is l(m) prime? True Let l(g) = -1 - 2*g + 4*g - 1 + g**3 - 2*g**2. Is l(3) prime? True Let w = -1645 - -3162. Is w prime? False Let m(f) = 35*f. Let r be m(1). Is 7/r + (-1148)/(-10) composite? True Suppose -a - 7 = -6. Is (a/(-2))/((-5)/(-3890)) composite? False Suppose -4*l + 369 - 53 = 0. Is l composite? False Let k(g) = g**3 + 6*g**2 - 6*g + 8. Let i be k(-7). Let x = 6 - i. Suppose 3*n = x*u + 14, -3*n + 5 = -u - 5. Is n a prime number? True Suppose 28 = 4*q - 0*q + 2*l, 2*l = 8. Let t(i) = i**3 - 3*i**2 - 8*i + 5. Is t(q) prime? False Suppose -6*o = -3*o + 18. Is 200/6 + 2/o a composite number? True Let s(i) = 33*i + 2. Is s(13) prime? True Suppose 2*l = 3*t + 3, 4*l = 2*l - 3*t - 15. Let x(w) = -w. Let k(o) = -21*o - 2. Let c(a) = k(a) - 4*x(a). Is c(l) a composite number? True Suppose 2*a = -5*p + 959, -7*p + 4*p = -a + 452. Is a a composite number? False Let p be (-1)/(3/(-30)) - 2. Suppose -4*v = h - 18, 4*h + 3*v - p = 64. Let g = h + -5. Is g prime? True Suppose -3*f + 7*f + 64 = 0. Let b = -9 - f. Is b prime? True Suppose 2*a = -0*a + 1288. Let d = -195 + a. Is d a composite number? False Suppose -5*g + 9*g = -20, 2*g + 1052 = 2*k. Is k prime? True Let t(k) = -80*k - 1. Let h be t(-1). Suppose -d + 9 = 3. Suppose -5*n = -d*n + h. Is n a composite number? False Let a(c) = c**3 - 6*c**2 + 8*c - 14. Is a(9) prime? False Let v = -3 + 3. Let k be -26 - (-1)/(-3)*v. Let f = k + 49. Is f a composite number? False Let r(g) = -g**3 - 10*g**2 - 9*g - 3. Let p be r(-9). Is (-1 + -216)*(p + 2) a composite number? True Let t = 1674 + -317. Is t a prime number? False Suppose -858 = n - 4*n. Suppose -2*p + 3*p = n. Suppose 4*x - 6*x - 4*i = -p, 546 = 4*x - 5*i. Is x composite? False Let t = -884 - -2343. Is t a composite number? False Suppose 3*b - 2*b = -5*w + 12, -2*b + 2*w = 0. Suppose -5*s + 1 = b*z + 49, -3*s - 44 = 5*z. Is 1338/4*s/(-12) composite? False Let x(t) = 9*t**2 - 7*t - 7. Is x(-5) a prime number? False Suppose 3*k = 2*r - 0*k - 1171, 0 = 4*r - 3*k - 2345. Is r a composite number? False Let r(f) = f + 91. Let x(c) = 5 + 4*c - 3*c - c**2 - 3. Let u be x(2). Is r(u) composite? True Suppose 3*r - 10 = -2*r, 245 = x - 4*r. Is x a prime number? False Let f(n) = -n**3 - 4*n**2 - 2*n - 5. Suppose -h - 3*h = 16. Let q be f(h). Suppose -b + q*b - 28 = 0. Is b a prime number? False Let z(x) = -x**3 - 6*x**2 + 7*x + 6. Let s be z(-7). Let g = s + -1. Is (-5)/g + (-1 - -60) prime? False Suppose 0*r - 252 = 2*r. Suppose a + 272 = -3*f, 0*f - 10 = 2*f. Let l = r - a. Is l composite? False Let c(w) = w**2 + 8*w + 3. Let q be c(-8). Let b = q + 30. Is b a prime number? False Let j(n) = n**2 - 4*n + 11. Is j(-12) a prime number? False Suppose -j + 69 = -226. Is j composite? True Let r(u) = u - 3. Let i be r(3). Let v(q) = 2*q**2 - 3*q + 5. Let x be v(4). Suppose 86 = 2*o - i*o + 4*k, 5*k = -x. Is o a prime number? True Let a = -6 - -11. Suppose 36 = -2*i + a*i. Is 4/i - 92/(-3) a prime number? True Let w be ((-56)/35)/(1/5). Let h(t) = 2*t**2 + 10*t - 5. Is h(w) a composite number? False Let c(t) = -24*t. Let y be c(-1). Let x = -9 + y. Is x prime? False Let o = 236 - 73. Is o a prime number? True Suppose -5*u = -4*s + 20, -4*u - 6 - 4 = -2*s. Suppose 27 = -2*n - 3*n + 3*f, -4*f + 1 = s*n. Let y = 14 + n. Is y composite? False Let g = 1304 + -613. Is g a composite number? False Let d = 5 - 1. Is (-1742)/(-18) + d/18 a prime number? True Let t(q) = q**2 + 3*q - 9. Is t(-7) composite? False Let w = -2018 + 3967. Is w composite? False Suppose -3*j - 2513 = -2*w, 0*w + 3*j = 4*w - 5035. Is w a composite number? True Suppose -10 - 166 = 4*k. Let y = 75 + k. Is y composite? False Let v(i) = 190*i - 5. Is v(3) composite? True Let s = 21 + 266. Is s prime? False Let a(i) = 2*i - 1. Suppose 5*n + 5 = 5*t, 6 - 18 = -2*t + 4*n. Let q be (-160)/(-25) - t/(-10). Is a(q) prime? True Let t = 2 - 1. Let q be 40/(-16)*(t - 3). Suppose -q*i = 48 - 443. Is i a prime number? True Let r be ((-1)/(-2 - -3))/(-1). Let n be 9/r*4/6. Suppose t = n*t - 155. Is t prime? True Let x(o) = 31*o**3 - o**2 + o. Suppose h + 2*f = -1, 0 = -4*h - 5*f - 1 - 0. Is x(h) a composite number? False Let z = -3 + 15. Suppose 5*n - z = c + 17, 17 = 5*n + 2*c. Suppose -148 = r - n*r. Is r prime? True Let m(t) = -t**2 + 5*t + 2. Let s be m(5). Let j be s/((8/3)/4). Suppose -j*d - 5*l + 10 = 21, 5*l + 5 = -5*d. Is d a composite number? False Let l(o) = 197*o + 48. Is l(11) prime? False Let t(s) = 29*s - 1. Let p(g) = -g**3 - 2*g**2 - g. Let u be p(-2). Is t(u) composite? True Is (92 + 2 - -1) + 2 a composite number? False Let u(x) = 12*x**3 + 5*x**2 + 5*x + 1. Is u(5) composite? True Let d(v) be the second derivative of v**4/12 + 3*v**3/2 + 25*v**2/2 - 2*v. Is d(-17) a composite number? True Suppose -4*i + 2*j = -2*j + 88, 5*i + 131 = -2*j. Let o = 4 + -51. Let b = i - o. Is b composite? True Let i be 0/((-4)/(6/(-3))). Suppose p - 19 = 3*t, -3*t + 2*p + 2 - 25 = i. Let j = t + 72. Is j a composite number? False Let f(g) = 4*g**2 - g + 1. Let h be 1/(-2) + 9/6. Let t be f(h). Is 374*-1*t/(-8) composite? True Suppose -y - 821 = -4*d, -3*y + y = -d + 207. Is d a composite number? True Suppose 3*p - 1665 + 601 = -2*a, 1615 = 3*a - 5*p. Is a prime? False Let y(d) = d**3 - 7*d**2 + 4*d + 6. Is y(7) a prime number? False Let g = 959 - 664. Is g composite? True Let x(g) = 20*g**2 + 2*g + 7. Is x(5) a composite number? True Suppose -3*y = -2*y - 113. Is y a composite number? False Let r(x) = -2*x**3 + x**2 + x - 4. Let y(m) = m**3 - m**2 + 1. Let d(f) = -r(f) - 3*y(f). Is d(-2) composite? False Suppose -62 = -3*n + 4. Suppose -z + 113 - n = 4*b, -z = b - 97. Let r = 184 - z. Is r prime? False
Collect the terms in 2*d + 212*d**2 - 2*d - 518*d**2. -306*d**2 Collect the terms in -738*m**3 + 2410*m**3 - 839*m**3 - 836*m**3. -3*m**3 Collect the terms in -83 - 89 + 172 + 86*b**2. 86*b**2 Collect the terms in -1384 - 1388 - 2*m**2 - 1378 + 4150. -2*m**2 Collect the terms in 21 - 24*x - 459 + 20 + 26*x. 2*x - 418 Collect the terms in 171063*t - 342117*t + 8*t**3 + 171057*t. 8*t**3 + 3*t Collect the terms in -2 - 1144*h + 1136*h + 2 - 6*h**3. -6*h**3 - 8*h Collect the terms in -5*i - 55*i**2 - 101*i**2 + 5*i - 329*i**2. -485*i**2 Collect the terms in -2 + 1682*z - 1738*z + 1. -56*z - 1 Collect the terms in 1131 + 6*m - 582 - 16*m - 551. -10*m - 2 Collect the terms in -123*z + 37*z + 41*z + 43*z. -2*z Collect the terms in -146*c**2 + 13*c**3 + 214*c**2 + 4 - 14*c**3 - 4. -c**3 + 68*c**2 Collect the terms in 23249*a**3 - 11615*a**3 - 11625*a**3. 9*a**3 Collect the terms in 1134*l - 2309*l + 1173*l. -2*l Collect the terms in -187753 - x**2 + 187753. -x**2 Collect the terms in -29*t + 361 - 753 + 392. -29*t Collect the terms in -2896*j - 2864*j - 2865*j + 8619*j. -6*j Collect the terms in -22*i - 9995830825 + 9995830825. -22*i Collect the terms in 322 - 322 + 30*m**2 - 33*m**2. -3*m**2 Collect the terms in -30*h + 2*h + 6*h - 11*h - 26*h. -59*h Collect the terms in 11*y - 41*y + 1 + 16*y + 8*y. -6*y + 1 Collect the terms in -14645 + 41*h**2 + 7316 + 7328. 41*h**2 - 1 Collect the terms in 549*k**2 - 361*k**3 - 79*k**2 + 359*k**3. -2*k**3 + 470*k**2 Collect the terms in 65*z**3 - 14*z**3 - 10*z**3 - 10*z**3. 31*z**3 Collect the terms in -249*t + 58*t + 21*t - 2*t**2 + 5*t. -2*t**2 - 165*t Collect the terms in 29110*t**3 + 29148*t**3 - 4*t + 4*t - 58264*t**3. -6*t**3 Collect the terms in -31 - 24 - 33 - 7*n**3 + 83. -7*n**3 - 5 Collect the terms in 221*g**3 - 111*g**3 - 65*g**3 - 46*g**3. -g**3 Collect the terms in -1 + 1 + 1062*n - 1049*n + 0. 13*n Collect the terms in -14238836 + 143*a + 14238836. 143*a Collect the terms in -218 + 311*a**3 + 218. 311*a**3 Collect the terms in 8*k**2 + 4*k - 236 + 120 + 122. 8*k**2 + 4*k + 6 Collect the terms in 20913*m**3 + 21145*m**3 - 42059*m**3. -m**3 Collect the terms in -297*v - 309*v + 1 + 902*v - 312*v. -16*v + 1 Collect the terms in 2130*t + 2129*t + 2139*t - 6396*t. 2*t Collect the terms in 241 + 247 - 729 - 105*l + 241. -105*l Collect the terms in w**3 + 13*w**3 + w**2 + 7*w**3 - 7*w**3 - 1. 14*w**3 + w**2 - 1 Collect the terms in 2*c + 2 - 2*c**2 - 3*c - 13*c**2 - 19*c. -15*c**2 - 20*c + 2 Collect the terms in 2*a + 468 + a - 457. 3*a + 11 Collect the terms in -550*n - 615*n + 1213*n. 48*n Collect the terms in -10*k + 4*k + k + 5*k - 21981*k**3 + 21992*k**3. 11*k**3 Collect the terms in 14*i**3 + 30*i**3 - 12*i**3 + 63*i**3 - 34*i**3. 61*i**3 Collect the terms in -1 - 124793*r**3 + 124622*r**3 + 2. -171*r**3 + 1 Collect the terms in -3*m + 10680 - 10680. -3*m Collect the terms in -2173*k**2 + 1080*k**2 + 1091*k**2. -2*k**2 Collect the terms in -5*s + 745 - 4*s - 7*s**3 + 9*s. -7*s**3 + 745 Collect the terms in -138*s**2 + 116*s**2 + 64 - 64. -22*s**2 Collect the terms in -231*m**3 - 147*m + 147*m. -231*m**3 Collect the terms in -379*s + 379*s + 559*s**3. 559*s**3 Collect the terms in -2*q**2 - 222*q**3 - 224*q**3 - 206*q**3 - 200*q**3 + 853*q**3 + 2*q**2. q**3 Collect the terms in -307*w**3 + 633*w**3 - 322*w**3. 4*w**3 Collect the terms in 229*f**2 - 427*f**2 + 5*f - 4 - 686*f**2 - 6*f. -884*f**2 - f - 4 Collect the terms in 28*r**2 + 192*r**2 + 25*r**2 - 271*r**2 + 22*r**2. -4*r**2 Collect the terms in -515*x - 34*x - 48*x - 3. -597*x - 3 Collect the terms in -12*g + 11*g + 72 - 72. -g Collect the terms in -6*s - 3 - 5*s - 6*s - s. -18*s - 3 Collect the terms in -16*z**2 + 35*z**2 - 16*z**2 - 21*z**2 + 5*z**2 - 9*z**2. -22*z**2 Collect the terms in -158*d**2 + d - 3*d - 338*d**2. -496*d**2 - 2*d Collect the terms in 49*k + 67*k + 62*k - 245*k + 65*k. -2*k Collect the terms in -19*o + 34*o - 15*o - 38*o**2. -38*o**2 Collect the terms in -2343 + 4*h + h**2 + 2343. h**2 + 4*h Collect the terms in 3261 - h - 10*h**2 + 102*h**2 + 10*h**2. 102*h**2 - h + 3261 Collect the terms in 5153 - 48*b - 5153. -48*b Collect the terms in 47660*n**2 - 26*n + 9*n + 17*n - 47661*n**2. -n**2 Collect the terms in -18688*u + 37377*u - 18682*u. 7*u Collect the terms in -7696*u**2 + 23146*u**2 - 7729*u**2 - 7724*u**2. -3*u**2 Collect the terms in 131968*x - 131968*x + 4*x**3. 4*x**3 Collect the terms in -49*m**3 - 38*m - 29*m + 67*m + 69*m**2 - 69*m**2. -49*m**3 Collect the terms in -101*w**3 + 129*w**3 + 129*w**2 - 129*w**2. 28*w**3 Collect the terms in 30*i - 4*i - 3*i**2 - 7*i - 20*i. -3*i**2 - i Collect the terms in 589*j**3 - 272*j**3 - 310*j**3. 7*j**3 Collect the terms in 55479184*n**2 - 27739587*n**2 - 27739600*n**2. -3*n**2 Collect the terms in 967*b + 956*b - 2886*b + 955*b. -8*b Collect the terms in 2 + 1 - 328*q + 0 + 1. -328*q + 4 Collect the terms in -585*g + 4 - 4 + 477*g. -108*g Collect the terms in 0 - 1 - 8*v - 7*v - 5*v + 43*v. 23*v - 1 Collect the terms in 127 + 125 - 252 - n**3. -n**3 Collect the terms in -3 + 14 - 4*t**2 + 159*t - 7. -4*t**2 + 159*t + 4 Collect the terms in 173*m + 135*m - 52*m + 26*m. 282*m Collect the terms in -c**3 + 102688*c + 101964*c - 204652*c. -c**3 Collect the terms in -122*h + 327*h - 207*h. -2*h Collect the terms in 1063*l**2 + 1090*l**2 - 2155*l**2. -2*l**2 Collect the terms in -7*x**2 + x - 12 + 58 - 2*x - 3*x**2 + x**2. -9*x**2 - x + 46 Collect the terms in -40743*y + 40743*y + 43*y**3. 43*y**3 Collect the terms in 6*d + 4 - 18*d + 3*d - 3*d + 9*d. -3*d + 4 Collect the terms in 17*m**3 + 249*m**3 + 330*m**3 + 633*m**3. 1229*m**3 Collect the terms in 32*p**2 + 245*p**2 - 22*p**2. 255*p**2 Collect the terms in -6587122*x**2 + 3293546*x**2 + 3293573*x**2. -3*x**2 Collect the terms in 961*a**3 - 296*a**3 + 1167*a**3 + 1822*a**3. 3654*a**3 Collect the terms in 406*z**2 - 27*z**3 + 653*z**2 + 411*z**2 - 1470*z**2. -27*z**3 Collect the terms in q + 928379 - 928379. q Collect the terms in -2966*i**2 + 704*i**2 - 3014*i**2 + 605*i**2. -4671*i**2 Collect the terms in 23 - 4 - 140 + u - 67. u - 188 Collect the terms in 112*a**3 + 4722615*a - 4722615*a. 112*a**3 Collect the terms in 69*g**3 - 33420*g**2 - 72*g**3 + 33420*g**2. -3*g**3 Collect the terms in -54*w - 11 - 5 + 16 - 13*w. -67*w Collect the terms in 1378*h**2 - 3497*h**2 + 1115*h**2. -1004*h**2 Collect the terms in 25*s**2 - 25*s**2 + 10*s**3 - 51*s**3 + 36*s**3 + 32*s**3. 27*s**3 Collect the terms in -2*o + 0*o - 703 + 1072 - 369. -2*o Collect the terms in -43*l - 803*l**2 + 43*l - 1864*l**2. -2667*l**2 Collect the terms in -36*a**2 + 12*a**2 + 4 - 6 - 9*a**3 - 17*a**2. -9*a**3 - 41*a**2 - 2 Collect the terms in 1601*p**2 - 21*p + 21*p. 1601*p**2 Collect the terms in -175*k - 6 - 3 - 114*k**2 + 175*k. -114*k**2 - 9 Collect the terms in -712*i - 622*i + 53*i + i. -1280*i Collect the terms in -6 - 7 - 2 + 26 - 11 - 2*j. -2*j Collect the terms in 703 + 8*r + 719 - 1422. 8*r Collect the terms in 72*c + 37*c + 112*c. 221*c Collect the terms in 66*a**2 + 35*a**2 - 117*a**2 + 20*a**2. 4*a**2 Collect the terms in -20*r - 9*r + 668*r**3 - 10*r + 39*r. 668*r**3 Collect the terms in 24483*c - 8161*c - 8170*c - 8162*c. -10*c Collect the terms in 355*h + 9*h**2 - 1825*h - 9*h**2 - 2*h**3 - 4. -2*h**3 - 1470*h - 4 Collect the terms in -64*c**3 + 11*c**2 - 418*c**3 - 11*c**2. -482*c**3 Collect the terms in -397*q**3 + 391*q**3 + 2*q**2 - 2*q**2 + 69*q. -6*q**3 + 69*q Collect the terms in -239*f**3 + 7441*f - 7441*f. -239*f**3 Collect the terms in 1898 - 103*k - 1898. -103*k Collect the terms in -709*j + 2493*j - 1 + 2047*j + 1068*j. 4899*j - 1 Collect the terms in -545*q**3 + 5 - 3 + 73*q**3 - 3. -472*q**3 - 1 Collect the terms in 38 + 36 - 166 + a + 24 - 224. a - 292 Collect the terms in 1531*y**3 - 203*y**3 - 52*y**3 + 958*y**3. 2234*y**3 Collect the terms in -481*d + 5595*d**3 - 5598*d**3 + 246*d + 235*d. -3*d**3 Collect the terms in 66*l**2 + 192*l**3 - 67*l**2 + 36*l**3. 228*l**3 - l**2 Collect the terms in 664*z**3 - 337*z**3 - 3 - 336*z**3 - 4 - 3. -9*z**3 - 10 Collect the terms in 2035*y**3 + 2782*y**3 - 379*y**3. 4438*y**3 Collect the terms in 361*h + 1390*h + 179*h. 1930*h Collect the terms in 657 + 141816*c - 657. 141816*c Collect the terms in 5*s**2 - 100172907 - 4*s**2 + 100172907. s**2 Collect the terms in -9*n**2 - 377*n - 15*n**2 + 5*n**2. -19*n**2 - 377*n Collect the terms in -18*l**2 + 25 + 73*l**2 + 30*l**2. 85*l**2 + 25 Collect the terms in -43 + 380*v - 47 + 90. 380*v
Let q(z) = 5*z**2. Let a(x) = x + 1. Suppose -3*i - 40 = -5*w, -5*w + 0*w + 45 = -4*i. Let u(t) = -t**2 - 5*t - 5. Let j(r) = w*a(r) + u(r). Determine q(j(n)). 5*n**4 Let y(f) = -7*f**2. Let w(d) be the first derivative of -d**3 + 5. Calculate w(y(v)). -147*v**4 Let z(s) = s**2. Let o(u) be the first derivative of -2*u**2 - 22. Let r(m) = -3*m. Let q = -1 - -6. Let l(a) = q*r(a) - 4*o(a). Calculate z(l(p)). p**2 Let f(y) = -y. Let i(h) be the first derivative of h**2 - 3. Let q(a) = 5*f(a) + i(a). Let n(g) = -5*g**2. What is q(n(j))? 15*j**2 Let o(s) = -7*s. Let z(j) = 9*j. Determine o(z(a)). -63*a Let x(c) = c. Let u(b) = 2*b**2 + b**2 - 11*b**2 - 6*b**2. Determine x(u(h)). -14*h**2 Let u(i) = i. Let o(s) be the third derivative of 31*s**4/24 - 7*s**2. What is u(o(n))? 31*n Let k(p) = -2*p**2. Let y(c) = 0*c**2 + 3*c**2 + 0*c**2. What is k(y(d))? -18*d**4 Let z(c) = 2*c**2. Let t(y) = -3221*y. Determine t(z(h)). -6442*h**2 Let a(y) = 3*y. Suppose -c + 126 = 2*c. Let j be (-12)/c - 2/(-7). Let i(r) = 5*r - 4*r + j*r - 4*r. What is a(i(t))? -9*t Let r(a) = a**2. Let z(t) = t**3 + 11*t**2 + 9*t - 8. Let j be z(-10). Let u(k) = -6*k**j + 0 + 2 - 2. Determine u(r(g)). -6*g**4 Let l(t) = 1366*t**2 - 1. Let c(b) = 6*b**2. Calculate l(c(j)). 49176*j**4 - 1 Let x(o) = 113*o. Let s(a) = 17*a. Calculate x(s(k)). 1921*k Let p(f) be the third derivative of f**5/60 + 2*f**2. Let y(u) = u**2. Give y(p(h)). h**4 Let s(g) be the first derivative of -g**5/120 - g**3/3 - 2. Let p(l) be the third derivative of s(l). Let a(y) = -3*y + 5*y + 0*y. Calculate p(a(o)). -2*o Let j(u) be the first derivative of 11*u**2/2 + 4. Let y(o) = o. What is j(y(r))? 11*r Let g(r) = -3*r. Let z(k) = 499*k. What is z(g(b))? -1497*b Let x(q) = 2*q. Let a(h) = -h. Let o(n) = -6*a(n) - 2*x(n). Let i(u) = 3*u**2 - 6*u. Let k(m) = -3*m**2 + 5*m. Let f(c) = 5*i(c) + 6*k(c). Calculate o(f(d)). -6*d**2 Let o(h) = -37*h**2. Let q(x) be the first derivative of -2*x**3/3 - 5. Calculate q(o(l)). -2738*l**4 Let f(i) = -2*i. Let y(b) = -6*b. Let j(s) = -17*f(s) + 6*y(s). Let n(q) = 18*q**2. Give n(j(w)). 72*w**2 Let q(n) = 3*n - n**2 - 3*n. Let m(h) = -15*h + 27*h - 11*h. Calculate q(m(y)). -y**2 Let a(n) be the first derivative of 0*n**2 + 0*n - 3 + 2/3*n**3. Let p(g) be the third derivative of g**4/12 + g**2. Determine p(a(k)). 4*k**2 Let p(q) = -27*q**2. Let o(r) = 208*r**2. What is p(o(k))? -1168128*k**4 Let h(j) = -7*j. Let y(b) = 2*b**2 + 2329*b. Give y(h(f)). 98*f**2 - 16303*f Let j(k) = k**2 - 6. Let a(p) = -1. Let u(s) = -6*a(s) + j(s). Let r(o) = 40*o**2 - 11*o**2 - 16*o**2 - 12*o**2. Give u(r(y)). y**4 Let a(r) be the first derivative of -2*r**3/3 - 1. Let t(o) = 51 + 3*o**2 - 51 - 5*o**2. Calculate t(a(s)). -8*s**4 Let p(q) be the third derivative of -q**5/30 + 6*q**2. Let s(o) = 0*o**2 + o**2 - 2*o**2. Calculate s(p(c)). -4*c**4 Let f(w) = -2*w**2. Let l(j) = -7*j + 10. Let x(p) = 4*p - 4. Let u(d) = 4*l(d) + 10*x(d). What is f(u(q))? -288*q**2 Let d(b) = -15*b. Let y(i) = i**3 - 5*i**2 + 3*i - 12. Let n be y(5). Let s(x) = -x + 3*x - n*x. Determine s(d(p)). 15*p Let s(a) = -a. Let c = 5 + -2. Suppose -10 = -2*o - c*o. Let m(i) = -i**2 + 4*i**o - 2*i**2. Give m(s(b)). b**2 Let u(k) = -27*k - 2. Let r(g) = 64*g. Calculate u(r(f)). -1728*f - 2 Let z(n) = 3*n**2 + 2*n - 2. Let h(y) be the first derivative of y**3/3 + y**2/2 - y - 5. Let c(l) = -2*h(l) + z(l). Let m(v) = -6*v. What is c(m(d))? 36*d**2 Let m(x) = 6*x. Let b(u) = 297*u + 1. Determine m(b(a)). 1782*a + 6 Let g(a) = 11*a. Let f(b) = 23*b. Let w(j) = 6*f(j) - 13*g(j). Let u(n) = -1 + 1 - 24*n**2 + 27*n**2. Determine w(u(o)). -15*o**2 Let m = 24 - 22. Suppose -2 = -2*d - 4, 3 = g + d. Let s(u) = 0*u**2 + g*u**2 - 2*u**m. Let b(i) = i**2. Calculate b(s(n)). 4*n**4 Let t(x) = -2*x + 3. Let d(a) = a - 1. Let k(j) = -6*d(j) - 2*t(j). Let o(c) be the third derivative of c**5/20 + 2*c**2. Determine o(k(s)). 12*s**2 Let t be 1*2 - -6*(-6)/18. Let o(s) be the first derivative of -1 + t*s + 0*s**2 - 2/3*s**3. Let g(k) = -k**2. What is o(g(d))? -2*d**4 Let y(v) = 2*v**2. Let o(r) = 1249*r**2. Give y(o(j)). 3120002*j**4 Let b(k) = -2*k. Let v(g) be the third derivative of -77*g**5/60 - 6*g**2. Calculate b(v(r)). 154*r**2 Let d(t) be the first derivative of -t**3/3 + 1. Let s(n) be the first derivative of -1 + 0*n**2 - 2/3*n**3 + 0*n. Give d(s(q)). -4*q**4 Let j(i) = -10555*i. Let c(f) = f. What is c(j(p))? -10555*p Let q(l) = -2*l - 6. Let m be q(-8). Let t = -7 + m. Let u(b) = t*b - 4*b + 0*b. Let r(p) = -3*p. Calculate r(u(j)). 3*j Let c(x) be the second derivative of x**7/840 + x**4/12 + 2*x. Let l(j) be the third derivative of c(j). Let q(t) = 3*t**2. Determine q(l(i)). 27*i**4 Let x(i) = 22*i + 51. Let d(f) = 2*f. Give d(x(r)). 44*r + 102 Let n(o) = -2*o**2. Let g be 3*(1 + -3 + 3). Let s be (-6 - (4 + -6))/(-2). Let p(b) = g*b - 4*b + s*b. What is p(n(t))? -2*t**2 Let y(h) = 6*h**2 - 6. Let n(i) = 3*i. Calculate y(n(p)). 54*p**2 - 6 Let a(i) = i**2. Let d(o) = -2*o**2. Let g(h) = 10*a(h) + 4*d(h). Let x(s) = -4*s. What is g(x(y))? 32*y**2 Let q(i) = i. Let o(d) be the first derivative of -d**5/60 - 3*d**2/2 + 1. Let k(w) be the second derivative of o(w). Give k(q(c)). -c**2 Let j(u) = 2*u**2. Let d be 10/4 - 3/(-2). Let q(a) = a - 3*a + d*a. What is q(j(k))? 4*k**2 Let b(m) = -318*m. Let g(u) = -2*u. Give b(g(d)). 636*d Suppose 4*r - 23 = -5*c, -1 = -2*r + 2*c - 3. Let y(k) = 0*k**2 - k**r - k**2. Let w(d) = 2*d. What is w(y(z))? -4*z**2 Let l(z) = 27*z**2. Let t(b) = -7 - 13 + 20 + 2*b. Calculate t(l(n)). 54*n**2 Let x(p) be the second derivative of -p**5/30 + p**2 + 3*p. Let t(w) be the first derivative of x(w). Let y(o) = -o**2. Calculate y(t(r)). -4*r**4 Let o(r) = r**2 - r - 1. Let j(b) = 4*b**2 - 5*b - 5. Let g be 3 - (3 - (0 + 2)). Let h(q) = g*j(q) - 10*o(q). Let w(a) = 4*a**2. What is h(w(s))? -32*s**4 Let g(r) = 2*r - 2. Let d(a) = -3*a + 5. Let l(u) = -2*d(u) - 5*g(u). Let z(w) = w**2. Give z(l(y)). 16*y**2 Let n(d) = -d**2. Let m(l) be the second derivative of -5*l**4/3 + 3*l. Calculate m(n(c)). -20*c**4 Let t(z) = z. Let a(b) = -154*b. Calculate a(t(k)). -154*k Let m(y) be the first derivative of 2*y**2 + 9. Let i(h) = -h. Calculate m(i(f)). -4*f Let p(a) = 2*a. Let h(v) be the third derivative of 0*v + 0 + 4*v**2 + 0*v**3 - 1/12*v**4. Calculate h(p(z)). -4*z Let s(u) = 7*u. Let d(l) = -2*l. Let f(x) = -4*d(x) - 2*s(x). Let m(z) = -7*z + 7*z - 2*z. Calculate m(f(v)). 12*v Let m(g) = 2*g. Let b(j) = 213*j**2. What is m(b(w))? 426*w**2 Let b(l) be the third derivative of l**8/10080 - l**5/60 + 2*l**2. Let w(m) be the third derivative of b(m). Let i(y) = -2*y. Determine w(i(f)). 8*f**2 Let c(u) = 2*u. Let d(q) = -2*q - 10*q - 2*q + 3*q. Determine d(c(y)). -22*y Let a(l) = 7*l. Let q(j) = -4*j - 156 + 156. What is q(a(f))? -28*f Let b(g) = 5*g**2 + 70. Let l(y) = -7*y**2. Calculate l(b(k)). -175*k**4 - 4900*k**2 - 34300 Let z(t) = -4*t. Let x(r) be the third derivative of r**5/30 + 37*r**2. Calculate x(z(v)). 32*v**2 Let h(z) = z**2. Let c(i) = -125*i**2 - i - 8. Calculate c(h(l)). -125*l**4 - l**2 - 8 Let x(i) = 9*i**2. Let y(q) be the first derivative of -q**2 - 7. Calculate y(x(j)). -18*j**2 Let q(y) = 2*y**2 - y**2 + y**2. Let z(x) be the third derivative of x**5/10 - 3*x**2. Give z(q(r)). 24*r**4 Let z(h) = 20*h**2. Let n(y) = 40*y. Calculate z(n(d)). 32000*d**2 Let d(b) = -2*b**2. Suppose -4*f = 1 - 21, 5*r - 30 = -5*f. Let g be 0*(r - (-3)/(-2)). Let q(l) = 1 - 1 + g + 4*l. Give d(q(p)). -32*p**2 Let r(t) = 2*t**2. Let u(v) = -28 + 5*v + 28. Determine u(r(h)). 10*h**2 Let t(o) = 141*o + 3. Let d(i) = i. Give t(d(b)). 141*b + 3 Let i(h) = -3*h. Let p(b) = 6*b - 2*b - 14*b - 15*b. Give p(i(v)). 75*v Let y(d) = -2*d**2 + 6*d**2 - 7*d**2. Let f(q) be the third derivative of -q**5/30 - q**2. Determine y(f(m)). -12*m**4 Let s(h) = h. Let i(z) = 4*z + 988. What is i(s(k))? 4*k + 988 Suppose 3*n - 2 + 5 = 0, 5*n = -3*h - 5. Let l(m) = h*m + 0*m - m + 0*m. Let x(i) = -2*i. Calculate x(l(r)). 2*r Let o(i) = -61*i - 9. Let y(a) = -15*a - 2. Let b be 10/(-35) + 61/(-7). Let u(p) = b*y(p) + 2*o(p). Let k(h) = h**2. Determine u(k(n)). 13*n**2 Let n(o) = o. Let q(x) = -35*x + 2. Let k(i) = 140*i - 9. Let m(y) = -2*k(y) - 9*q(y). Determine n(m(r)). 35*r Let i(z) = z**2 - z**2 - 4*z**2. Let b = -2 - 3. Let p(a) = 5*a**2 + 6. Let f(l) = 4*l**2 + 5. Let j(o) = b*p(o) + 6*f(o). Calculate j(i(d)). -16*d**4
Calculate ((-444)/(-16) - -1)*(860/450 + (-300)/270). 23 Calculate (-139)/(417/(-26))*45/(-6). -65 Evaluate (-3 + 64/18)/((-47540)/313764). -11/3 Calculate 2*27/(-18) + -13 + (-217)/(-7). 15 Calculate ((-513)/27 - 11)/(-2). 15 (-38 - -2) + 680940/18900 1/35 What is (1870/(-36652))/(54/12 + -2)? -1/49 What is -12 + (28 - (-10186)/(-638))? 1/29 What is the value of (2/8)/((-695090)/43432 + (17 - 1))? -61 Calculate (-4494)/(-2140) + (-437)/210. 2/105 Calculate (-32)/(-1328) - 89670/1245. -72 What is the value of (45 - 27 - 28) + 38? 28 Calculate -5*(6363/(-105) - -67)/(22*1). -16/11 (25/(-3))/((-960)/(-576)) -5 Evaluate 1527/1527 - (-17*(-4)/62 + 0/(-3)). -3/31 What is 158/(-8) - (-1671)/(-6684)? -20 Evaluate (-2)/(-19) + (-12988)/(-29070)*-45. -20 Evaluate (-27314)/(-9755)*(0 - 240/(-21)). 32 -24 - (-35 - (-184470)/(-7689) - -35) -2/233 What is ((-2)/(-4))/(2650/(-7950))? -3/2 Calculate -48*11/(-37290)*(-560)/448. -2/113 (28/300)/(3/(-545)) + 4/(-90) -17 What is (-103707)/(-200233) + (195/(-55) - -3)? -3/109 61 - (-3 + 2/(-1) - (-165)/(-2310)*98) 73 ((-3)/4)/(12*(-3146)/(-36608)) -8/11 Evaluate 136 + -190 - 3416/(-63). 2/9 Evaluate ((-84)/5 - (-472 - -455))*((0 - 2) + 7). 1 Calculate (-4791)/(-123) + (-48)/(-29520)*30. 39 ((-75180)/40)/(-179)*(-6 - 0) -63 What is 3 + (-6511)/816 + 12 + -7? 1/48 Calculate -9 - (16 + (-53 - 26)). 54 Calculate (12/63)/(17 - 18183/1197). 2/19 What is ((-495)/5775)/(4075/(-500) - (-10)/8)? 2/161 What is the value of ((-1797)/339633)/((16/(-18))/4)? 1/42 What is the value of 2 - -3 - (20/16 - (-1722)/280)? -12/5 What is the value of 1*126/54*-3 - 15? -22 Calculate (-20)/8*1144864/21520. -133 Calculate 55 + (-34)/51*13/((-260)/(-330)). 44 What is ((-264)/(-28))/((-237)/(-1106))? 44 (2320/2532280)/(4/236) 2/37 What is the value of ((4225/(-26))/25)/((32/(-12) - -4)/8)? -39 (165/7590)/(3/(-230)) -5/3 Evaluate (11/(-440))/((-37)/(-444))*50/(-18). 5/6 Calculate ((-212)/(-20) + -3)/(61087/635 - 96). 38 Calculate 2 + 8406/(-558) + -2 + (-192)/(-93). -13 What is the value of -7 - ((-32118)/(-2862) + -1*11 + (-1540)/207)? 5/23 (107 - 282336/2640)/(-1 - 4/5) -1/33 What is 31/(-99) + 10/45 + (0 + 0)/2? -1/11 What is (-66)/(-14) - 232389/19026? -15/2 What is the value of (-193021)/20318*136/38? -34 ((-9)/(-25))/((53 - 88736/1645) + 8/7) 9/5 Calculate (10/(-24))/(1/16)*((-364752)/(-255))/298. -32 Calculate -129 - (122 - (-179838)/(-721)). -11/7 Evaluate -7 + -1 - ((-1560)/(-39) - 44). -4 Calculate (-6)/(-38) + (-43416)/129846. -3/17 (8/496)/(1/818) + (-136 - -123) 6/31 Evaluate 1 + 85 + 762/(-9) + (-92)/(-3). 32 What is (308/245)/((12028/679)/(-62))? -22/5 What is the value of 916/(-112) + (-6)/(3 + 39)*4? -35/4 Calculate 8 + (97359/(-14697) - ((-7)/21)/((-5)/20)). 3/71 What is 1/((-676)/143 - (-23 + 18 - 0))? 11/3 What is (8041/(-374))/(6/(-3) + 5/2)? -43 Evaluate 30 - (245817/(-1848) + 163). 1/56 What is the value of (12/(-18))/((-2)/(-9)) + (43290/260 - 167)? -7/2 What is ((1 + -3 + -7)/(20580/(-343)))/((-3)/(-188))? 47/5 What is the value of 13360/(-240) + 235/141? -54 (-21)/(-7) - -21 - 252/(-36) 31 Calculate ((-2157040)/1593)/80 + 51/3. 2/27 (77*(-86)/1419)/((-42)/(-36))*(-14)/(-24) -7/3 96 + (-157)/(3454/1650) 21 Evaluate (-54)/(-63)*(2/(-19) + 16/10336*334). 6/17 What is -1 - 612/15 - (-10)/(-950)*19? -42 Evaluate (9/(-2))/((-6)/4)*5 + (-3557 - -3469). -73 What is the value of 336/264*(-374)/68? -7 What is the value of -81 + (7 - (-1938)/51)? -36 Evaluate (3612/(-11438))/(9/1482). -52 Calculate (-977)/(-205170)*(4 + 8). 2/35 (-988)/(-572)*374/(-17) -38 Evaluate (((-4437)/(-58))/(-153))/(((-2)/10)/(-1)). -5/2 What is the value of 306/15*((-735)/343)/(78/(-91))? 51 37/74 + 29 + (7 - 30) 13/2 Calculate 52/(-2184)*-2430 - 4/(-28). 58 Calculate 451/7134*128/(-352). -2/87 What is the value of 198/132*4/3*(-119 - 11)/13? -20 What is 45/600*(522/10701 - (438/(-1107) + 0))? 1/30 Evaluate 827316/28140 - 33/(-5). 36 Evaluate (-8)/60*987/(-658)*185. 37 Calculate 2130/240 - ((-54)/45)/(6/(-45)). -1/8 22 + -36 + (-12728)/172 -88 Evaluate 22/1 + (-71742)/(-2174). 55 (-3400)/50 + 50 + -12 -30 What is ((-4)/(-45))/((-53702)/43938)? -4/55 What is the value of ((-6)/(-7))/((-176)/(21 + 67))? -3/7 12/(-9)*(1 + (-290)/260) + 145/(-182) -9/14 What is (-1957 - -1962)*(-2 - 48/5)? -58 Calculate (-44 - -4) + 583 + -566. -23 5*(-7 - (0 + -94)*8*(-26)/(-2080)) 12 Evaluate ((-6)/5 + (-2831)/(-745))/(((-14)/(-35))/(-1)). -13/2 ((-6)/(-1))/(-18 + -28 + 48) 3 Evaluate 65/13 + 2 + (50625/160)/(-45). -1/32 What is the value of (-1542)/(-46) + 1518/(-46)? 12/23 What is (-772)/30 - (-1014)/234 - -21? -2/5 Evaluate (8 + -5)*((-4)/(-10))/(106/(-1325)). -15 ((-60)/16 - -5)/(33/792*21) 10/7 Calculate 39 + (168/(-15))/((-259)/(-370)). 23 Calculate 4/(1056/(-275)) - (-10)/15 - 1443/(-72). 59/3 Calculate ((1*(3 + -10) - -1) + 19244/3396)*-129. 43 (10/(-240))/(5*64/(-480)) 1/16 What is the value of ((-18)/(-24))/(546/104) + 222/(-2436)? 3/58 Calculate -37 + (46 + -23 - -9). -5 What is the value of (56/(-42) + -62*2/6)*-1? 22 What is the value of (-2)/(-148)*(122/30 + (-908)/13620)? 2/37 Evaluate 16 + (56 - 71/(1704/576)). 48 Evaluate 65/(-5) + (12 - 237)/15. -28 Evaluate (-1848)/(-504)*12/2838. 2/129 What is the value of ((-87906)/759 - -43) + 71? -20/11 Calculate (-1737)/102 - (-191)/6494. -17 What is 1250/(-5500) - (-20566)/(-308)? -67 What is (-155)/124*30/20*2/15? -1/4 What is the value of (64 - (-6477)/127)*-1? -115 Calculate 3174/12*(-8)/(-46). 46 Calculate (((-134)/22 - -5)/(-2))/(342 - 344). -3/11 178/1157*-1339*(42/(-132) + 2/(-11)) 103 What is (-2300)/366 + (-18)/(-54) - (-33)/165*30? 3/61 What is the value of (5/(-6580)*-141)/(3/(-4)*-1)? 1/7 Evaluate (1/8 + 0)/(1954/171952). 11 (-88)/((-5896)/871) + 1 + -32 + 1 -17 (-380)/(-84)*82/10 - 38/399 37 Evaluate (3081/79 - -7)/(0 - (-8)/(-16)). -92 Evaluate (4*(-3 - -2))/(200 + -199)*-17. 68 What is the value of 19*(-1160)/(-1520)*-4 + -4? -62 Calculate -6 + 11 + (42/168)/(1/176). 49 What is 24/96*-18 + 1820/360? 5/9 ((-12180)/(-672))/(85/(-272)) -58 What is (273/(-3) - 2)*(-28 - (-581)/21)? 31 What is the value of 45/(-1260)*685/(-20) + (6 - (-665)/(-112))? 9/7 What is 10/28*(-24)/15 - 891/(-77)? 11 What is the value of (-23 - 25494/(-1110))*(-4 + (-66)/(-18))? 2/185 What is the value of 2*((-273)/(-52) + -5)*20/(-2)? -5 What is 6/(-480)*-30 + (3 - 715/528*2)? 2/3 What is ((-1 + 4)/(16/2))/(43 - (-48507)/(-1140))? 5/6 56 + -4 + -45 - 15/(-3) 12 What is the value of (-45)/(-18)*6 + -112 + 137? 40 Evaluate (330/(-35) - -6)*((-16)/88)/((-40)/770). -12 What is ((-74)/9)/((64240/2970)/(-146))*(-2)/(-3)? 37 Evaluate 3/(4*(0 + ((-285)/1620)/19)). -81 0 + (-8)/(-12)*1159/244 19/6 6*5/30*(-4)/(-8) + 7425/(-2376) -21/8 What is the value of (2/(-7))/(97/120474*-54)? 46/7 ((-5434)/(-1672) + (-85)/28)/(1/(-6)) -9/7 What is the value of 732/70 + (-238810)/(-75985)? 68/5 Evaluate 648/(-3672) - 1225/(-7905). -2/93 What is the value of 40/340 - (-7797)/(-56304)? -1/48 What is the value of (13366/(-410) - -26)*5? -33 Evaluate -16 + (-1180)/(-90) + (-34)/1224*56. -40/9 Evaluate (29/116)/(19/3040). 40 -33 - (-43)/1548*-18*-154 44 What is (-78315)/53130 + 60/42? -1/22 What is the value of (-22770)/(-16100) + 4*(-1)/6*(-36)/(-20)? 3/14 Evaluate (-8145)/(-1242)*1617/(-385) + (-2)/(-46) + 10. -35/2 Calculate (52164/(-1638) - -32)*(-13)/(-228). 1/114 (5 - (16 + 170/(-17)))/((-3)/9) 3 (2/12)/(369/2952)*(-2 + 1465/740) -1/37 What is ((-114156)/(-104643))/(((-24)/(-33))/4)? 6 What is (-9)/(-123) - 8926214/68101? -131 Evaluate (-15)/27 + ((-11396)/(-594))/37. -1/27 (-2 + 1)/(222/4662) + 46 25 What is the value of (3*140/1134)/(15/270)? 20/3 -33 + 973/28 + 0 7/4 Evaluate ((-3)/6 - 10/12)*2406/1604. -2 Calculate (-329)/(-130) - (7505/(-158))/(-19). 2/65 What is (96/(-384))/((-5)/180)? 9 What is the value of (153/204 + 477/(-540) + (-304)/(-30))*-5? -50 (-10 - (-159)/15)*((-1155)/1848 + 150/304) -3/38 What is (-2 - (10 - 1224/119))/((-6)/(-308))? -88 1/(-6)*1*12240/(-128520) 1/63 (42944/384)/((-143)/(-78)) 61 What is the value of (-9)/27*21 + (-2 - -1) - 7967/(-992)? 1/32 Evaluate ((-7)/(-5))/(3493/47405). 19 (-126)/((-392)/(-56)) - 30 -48 (-12)/(-54) + (-1184)/2331 - -2 12/7 Evaluate (1 + (-11)/(-4))/((-27282)/(-254632)). 35 What is 0*1/3 - (702/27 - 71)? 45 What is the value of (-49 - (1 - 0))/(((-2)/(-10))/(333/666))? -125 (128 + -140)/(30/220) -88 What is (3710/21147)/(16/(-6))*8*(-1 - -2)? -10/19 What is the value of 25/(-1)*(45 - 85 - -54)/14? -25 What is ((-1804)/(-16))/((-24255)/8820)? -41 7 + (-294)/392*596/69 12/23 Calculate (684/864)/(-6 + 138/24). -19/6 -3 + (((-9)/(-9))/14)/((-10)/(-4)) + 3 1/35 What is the value of 6 + (-12)/((-612)/629) + ((-343)/21)/7? 16
Simplify n**4/(n/(n/(n/n**4)*n*n))*(n*n**(2/5))/n*n*n/(n*n*n**(-5/2)*n*n*n) assuming n is positive. n**(89/10) Simplify z**(-8/3)*z**27 assuming z is positive. z**(73/3) Simplify (l**(-1))**(-7/4)/((l**(-4/9)*l*l)/l**(-4)) assuming l is positive. l**(-137/36) Simplify ((h*h/(h/h**(-7))*h)/(h/(h/(h*(h*(h/h**(1/14))/h)/h*h))*h))**(2/37) assuming h is positive. h**(-3/7) Simplify (v*v/(v*v**17*v))/v*v**(1/4) assuming v is positive. v**(-71/4) Simplify s**(-4/21)*((((s/(s*s**(-7)*s))/s)/s)/s)/s assuming s is positive. s**(38/21) Simplify n**(1/15)*(n/n**16*n)/n assuming n is positive. n**(-224/15) Simplify (q**(-16/3)/q)/q*q*q**(-16)*q assuming q is positive. q**(-64/3) Simplify w**(-1/7)*(w*w*w**(-15))/w*w assuming w is positive. w**(-92/7) Simplify (c**11*c*c*c*c**(3/13))**(-2/77) assuming c is positive. c**(-370/1001) Simplify u**(-5)*(u**(-1/3)/u)/u*(u*u*u**5/u)/(u*(u*u/u**(-1/6))/u) assuming u is positive. u**(-7/2) Simplify (m/(m**(-1/6)*m))/(m*(m**4*m)/m)*m**(1/9)/m*m**0*m*m assuming m is positive. m**(-67/18) Simplify ((t**(2/5)/t)**(-2/83))**(-27/7) assuming t is positive. t**(-162/2905) Simplify v**(-1/7)*v*v*v**6*v*v/(v**3*v*v)*v/v**(-3/2) assuming v is positive. v**(103/14) Simplify ((v**(-5))**(-6/19))**(-36/5) assuming v is positive. v**(-216/19) Simplify (i*(i/(((i/i**(3/8)*i*i)/i)/i))/i)/(i*i**(-7/4)*i) assuming i is positive. i**(1/8) Simplify (m**6/m)/(m*(m*m*((m**0*m*m)/m)/m*m)/m)*m**6/m*m*m**(-6)/m assuming m is positive. m Simplify (z**5/z**(-2/5))/(((z/(z/(((z/z**(-2/3))/z)/z)))/z*z)/(z/((z**(4/3)*z)/z)*z*z)) assuming z is positive. z**(37/5) Simplify s**9/(s*s/((s*s**3)/s))*s**3*(s*s/s**(3/4))/s assuming s is positive. s**(53/4) Simplify n**(-5)/((n*n**(-26)*n*n*n)/n) assuming n is positive. n**18 Simplify (x**(1/3)/x*x/((x*x*x*x/(x**(-1)/x))/x))**(-2/69) assuming x is positive. x**(28/207) Simplify (r**(-2/7)/(r/(((r*r**(-2))/r)/r)))/(r/(((r**(1/5)/r)/r)/r)*r**(-4)) assuming r is positive. r**(-143/35) Simplify (w**(5/4)*w/w**(-1/14)*w)**(-1/67) assuming w is positive. w**(-93/1876) Simplify (v**29*v)/v*v**(-4) assuming v is positive. v**25 Simplify s**(-2/37)*s/s**(-1/14)*s assuming s is positive. s**(1045/518) Simplify p**3*p**(-1/2)*p**(-3/5)*p/(p/((p**2*p)/p)) assuming p is positive. p**(39/10) Simplify (m**(1/2)/(m*m**(-2/5)))**(1/32) assuming m is positive. m**(-1/320) Simplify (g**(-1))**(28/9)/(g**2)**(-3/7) assuming g is positive. g**(-142/63) Simplify (x/(x**(-1/2)/x))/x*(x/(x*(x**(-2/17)*x)/x))/x*x*x assuming x is positive. x**(89/34) Simplify u**(-6)*u*u**(-14)*u*u*u assuming u is positive. u**(-16) Simplify ((t**(2/9)/t)**0)**(-5/2) assuming t is positive. 1 Simplify (w*(w**(-17)/w)/w)/(w*w/(w/w**(8/7))) assuming w is positive. w**(-141/7) Simplify w*w**1*w/(w/(w*w/(((w*w**(-2)/w*w)/w)/w)*w))*(w**(-1/3))**30 assuming w is positive. w**(-2) Simplify (p*p*p/p**(2/9)*p)**(5/16)*p**(2/3)*p**(-5/7) assuming p is positive. p**(571/504) Simplify (t**(1/10)/(t**(3/14)/t))**(-2/13) assuming t is positive. t**(-62/455) Simplify (k**5)**(-6/5) assuming k is positive. k**(-6) Simplify (((s**(-2)*s)/s)/((s**(-1/4)/s)/s))/(s**(3/4)*s**(2/7)) assuming s is positive. s**(-11/14) Simplify ((a*a**(2/3)/a)**(-4/7))**(-1/11) assuming a is positive. a**(8/231) Simplify z**21/z*z*z**(2/13) assuming z is positive. z**(275/13) Simplify (q/(q/q**9))/q**20 assuming q is positive. q**(-11) Simplify (t/t**(-4)*t/(t/((t*t**(7/5)*t)/t)))/(t*t**(-6)*t**(4/7)) assuming t is positive. t**(414/35) Simplify (h**(2/3)*(h/h**3)/h)/(h**(1/2)/h*h)**(3/8) assuming h is positive. h**(-121/48) Simplify (b**(-2/15))**2 assuming b is positive. b**(-4/15) Simplify v**(3/14)/v*v*(v**5*v*v)/v assuming v is positive. v**(87/14) Simplify ((x*x**7*x)/x**(1/5))/(x/(x**(2/9)*x)*x*x**5) assuming x is positive. x**(136/45) Simplify d**2/d**6*(d/((d/d**(2/11))/d))/d**(-3/7) assuming d is positive. d**(-184/77) Simplify ((b/b**4*b)/(b*(b*b**6)/b*b*b))/(b*(b/b**(-1))/b)**(-49) assuming b is positive. b**87 Simplify (f/(f*f**(-6))*f**(1/2)*f)/((f*f/f**(3/4))/f*f**3) assuming f is positive. f**(17/4) Simplify (t**(1/3))**(-41)*t**4/(t/(t/(t*t**2*t*t))) assuming t is positive. t**(-44/3) Simplify y**(-7)*y*y*y**(1/11)*y**4/y*y**(-3/2) assuming y is positive. y**(-75/22) Simplify m**38/(m*m**(-10)/m) assuming m is positive. m**48 Simplify (l/l**(2/5))**0/(l**(-1/4)/l**(-2)) assuming l is positive. l**(-7/4) Simplify b*b**(-18)*b*b*b**(-4/9) assuming b is positive. b**(-139/9) Simplify h**(-6/5)*h*h/(h/h**7)*h**(-4)*h**(1/7) assuming h is positive. h**(103/35) Simplify k**(-26)/k**23 assuming k is positive. k**(-49) Simplify ((s**(2/5)/s)**(-2/9))**(-5) assuming s is positive. s**(-2/3) Simplify ((j/j**(-1/3))**(-1/5))**(1/33) assuming j is positive. j**(-4/495) Simplify ((g*g**(-3/17)*g)/g*g)**2 assuming g is positive. g**(62/17) Simplify w*(w*w*w/(w/w**5)*w*w)/w*w*w*w**7*w*(w/(w/(w/w**2)))**(-3/34) assuming w is positive. w**(649/34) Simplify s/s**6*s*s*s**(-14) assuming s is positive. s**(-17) Simplify (((v/(v/(v**(-2/15)*v))*v*v)/v)/((v*v/v**(-3/2)*v)/v))**18 assuming v is positive. v**(-147/5) Simplify a*a**25*a*a**7/a*a assuming a is positive. a**34 Simplify (((h/h**(2/7))/h)/h*h*h/(h*h*(h**(-4/3)/h)/h*h*h*h*h*h))/((h/(h/(h/(h*h**(-5/2)/h*h*h))))/(h**(-5/3)/h)) assuming h is positive. h**(-299/42) Simplify ((l**(-1/5))**(11/3))**(-17/5) assuming l is positive. l**(187/75) Simplify (((((g**(2/3)/g)/g*g)/g)/g)**(-35))**(-28) assuming g is positive. g**(-6860/3) Simplify ((h*h**(-4)*h*h*h)/(h*h*((h*h**4)/h)/h*h*h))/(h/((h/h**(-1/4))/h)*h)**(-45) assuming h is positive. h**(287/4) Simplify (y/y**14)**46 assuming y is positive. y**(-598) Simplify (t*t*t**(3/2)/t*t*t*t*t**(-1)*t)/(t**(-2/13))**(-2/43) assuming t is positive. t**(6141/1118) Simplify d**(2/3)*d**17 assuming d is positive. d**(53/3) Simplify r*r/(r/r**(-5))*r**(-5)/r*r**(1/7)/(r**(-7)/r) assuming r is positive. r**(-13/7) Simplify (a**(2/35)/(a/a**(2/7)))**(16/3) assuming a is positive. a**(-368/105) Simplify b**(-1/4)/(b/b**(-5))*((b/(b*b**(-3/8)*b))/b)/b**(-3) assuming b is positive. b**(-39/8) Simplify (f*f*f/f**(2/3))**(1/17)*f**(-2)*f**(-4/5) assuming f is positive. f**(-679/255) Simplify (g/g**(1/16))**(-15) assuming g is positive. g**(-225/16) Simplify (n**(-7/5)*n)/(n/n**(1/3)) assuming n is positive. n**(-16/15) Simplify ((l*l**(2/29))/l)/(((l/(((l**(-2/41)/l)/l)/l))/l*l)/l) assuming l is positive. l**(-3543/1189) Simplify b**(-23/4)/(b*b/b**(-43)) assuming b is positive. b**(-203/4) Simplify ((y*(y/(y/y**(-1)))/y)**(-3/22))**(-5/3) assuming y is positive. y**(-5/22) Simplify (m/(m*m/m**(-2/7)))**(-1/28)/(m**(-6)/(m*m**(-5))) assuming m is positive. m**(401/196) Simplify (f/((f/(f/(f*f/f**(-6))))/f))**(-14) assuming f is positive. f**84 Simplify (l**2)**(2/57) assuming l is positive. l**(4/57) Simplify r/((r/(r/(r/(((r/(r**(-7)/r))/r)/r))))/r)*r*r**24*r*r assuming r is positive. r**35 Simplify (z**(-22/5)*z*z)/z*z*z**(4/9)*z assuming z is positive. z**(-43/45) Simplify z**(1/20)/(z*z*z/(z*z*z**(-3/10)*z)) assuming z is positive. z**(-1/4) Simplify (o**0)**32 assuming o is positive. 1 Simplify (z/((((z*z*z**(-1/4))/z)/z*z)/z*z))**(6/19) assuming z is positive. z**(3/38) Simplify (g**(-5)/(g*g*g/(g/(g/((g*(g/g**(2/5))/g)/g)*g))*g*g))/(g**(-9)/(g/g**(5/4))) assuming g is positive. g**(-53/20) Simplify (p**(-10)*p*p)**(16/3) assuming p is positive. p**(-128/3) Simplify ((r/r**(1/4))/r)**(-9/8)*(r**(1/2))**(-47) assuming r is positive. r**(-743/32) Simplify (y**(-1/2)*y)/(y*y*(((y*y/y**12)/y)/y)/y) assuming y is positive. y**(23/2) Simplify p**(-2/9)*p**(3/5) assuming p is positive. p**(17/45) Simplify ((r**(-1/8)*r)/r**(-1/4))/(r**0*r**7) assuming r is positive. r**(-47/8) Simplify (w*w/w**3*w)/w**(-9)*(w*w**0)**(-15/7) assuming w is positive. w**(48/7) Simplify b**(16/5)/b*b**(3/8)/b assuming b is positive. b**(63/40) Simplify (t*t**1/t*t)**(1/23)*(t/t**1)**(-3/10) assuming t is positive. t**(2/23) Simplify (((z*z**8)/z)/z)/(z/z**21) assuming z is positive. z**27 Simplify h**(-8)/h**1 assuming h is positive. h**(-9) Simplify h**(-6/13)/((h*(h*(h*h**(-2/3)*h)/h)/h)/h) assuming h is positive. h**(-31/39) Simplify ((k*k/(k*k/(k**(1/2)*k)))/k)**(-3/2)/((k**(2/9)*k)/(k**(-5/3)/k)) assuming k is positive. k**(-167/36) Simplify c**(-4/3)/(c*(c/(c**(10/7)*c))/c) assuming c is positive. c**(2/21) Simplify (w/(w*(w*w**(-10))/w)*w*w**(-3/13))**(-5/2) assuming w is positive. w**(-350/13) Simplify (a/a**1)/(a*a/a**(-3/4)) assuming a is positive. a**(-11/4)
Suppose -n + 26 = 5*b, -3*b + 5*n + 4 + 6 = 0. Let v = -11 + b. Let x = 8 + v. Solve 5*j - j = -p + 17, x*p = 2*j + 4 for j. 3 Let r = 8 - 8. Let h = 7 - 3. Suppose 2*v = -r*v + h. Solve 0 = 4*n + 2*j - 6, -v*n + 2*j = 2*n - 2 for n. 1 Let r = -16 - -32. Let q(o) be the first derivative of -o**4/4 + o**3 - o**2/2 + 2*o + 1. Let z be q(2). Solve -r = z*n, 2*n = -2*u + n + 6 for u. 5 Let a = 7 - 4. Suppose 0*r - 5*v - 19 = a*r, 3*r + v = 1. Let q be -1 + -1 + -3 + 5. Solve -21 = -5*b + 4*b - 4*n, q = -r*b + 3*n - 13 for b. 1 Let n = 6 - 2. Let x be n + -2 + -2 + 25. Solve -5*t - x = -m - m, -3*t - 15 = -m for m. 0 Suppose -4*z - 4*r - 8 + 0 = 0, -2*r - 16 = -4*z. Suppose -o + 75 = 5*h, h - 3*o - o = 36. Solve h = -5*j - w + 2, j - z = w for j. -2 Suppose 7*m - 36 = 6. Let f = m + 3. Solve 3*z = 0, 0 = -5*q + z + 6 + f for q. 3 Let y(u) = -u**2 + 9*u - 9. Let l be y(7). Suppose -n + 13 = -2*q, -3*n - l*q = -0*q - 28. Solve -j - 9 - 4 = 5*p, -4*j + n = -p for p. -3 Suppose -2*m - 10 = -4*m. Suppose m*h - 4*i = -2, -2*h + h - 10 = -4*i. Solve 3*r + 5*b + 22 = 0, -b - h*b = 4*r + 11 for r. 1 Suppose l + 3*r + 0 = 6, -2*l + 12 = -2*r. Let w be l + (3/3 - 4). Solve b + 6 = c, b + w = -2*c + 6 for b. -3 Let u be (-140)/(-65) + (-4)/26. Solve 0 = -3*r - y - y - 13, 2*r = -u*y - 12 for r. -1 Suppose -8 = r - i, 0*i - 2*i = r - 7. Let a = r + 9. Solve -2*d - 4*k + 16 = 0, a*d + 8 = 4*d + 2*k for d. 0 Let b = -21 + 23. Solve -4*n + 26 = b*h, 3*h + 4*n = 34 - 5 for h. 3 Let a(i) = -2*i + 21. Let c be a(10). Solve 6*o + 4*r = o - c, -r = o for o. -1 Suppose 12 = -0*c + 4*c. Let f be (4/c)/((-3)/9). Let r = 6 + f. Solve i - 2 = -0*j + r*j, 0 = -3*j for i. 2 Let h(i) = -i**2 + i + 9. Let r be h(3). Let l = 16 + -6. Let d = -7 + l. Solve 5*k - 22 = -d*a, k + r*a - 16 = -k for k. 2 Let y be 6/(((-6)/8)/(-1)). Let f = -11 + 16. Let k be 0 + f/1 - 1. Solve -y = 5*q - 4*j, k = -5*q + 3*j - j for q. 0 Let f = 5 - -1. Suppose 3*g = f*g - 12. Let q be 10/((-1 + g)/3). Solve -2*k - 16 = 4*r, -2*r - k = k + q for r. -3 Let s(x) = x**2 + x + 2. Let v be s(0). Let o = -255 + 258. Solve o*f - 24 = -2*k - 9, -v*k - 9 = -5*f for k. 3 Let w be 1/5*(14 + -9). Solve 2*j = -0*j + 5*p + w, -3 = 4*j - 5*p for j. -2 Let l = 1 - -4. Solve 0 = -l*k - 3*t, -5*k - t - 7 = -k for k. -3 Let d be (-6)/4*(-14)/(-3). Let g = 7 + d. Suppose g = 5*p - 0*p. Solve -2*h + 5*y = -0*y - 14, 5*h - 4*y - 18 = p for h. 2 Let j be 4/((-2)/(-1) - 1). Let t = 19 - 15. Suppose 0*r = 3*r + 3*k, -k + 6 = 4*r. Solve -j*n + t*b = -r*n + 20, 3*n - 4*b = -20 for n. 0 Let r = -16 + 16. Let j be r - (1 + (0 - 1)). Solve 2*a - 16 = -2*q, 3*q + j*a + 2*a = 19 for q. 3 Suppose -7 = o - b + 3*b, -4*o + 5*b + 24 = 0. Let i(w) = -2*w. Let u be i(o). Let a be (-4)/(-6)*(-9)/u. Solve -2*x = -4*m, 3*m + x - 2 = a for m. 1 Suppose 0 = -5*u + 25 + 10. Solve r + 3*x = 4*x + u, -x = 3 for r. 4 Let r = 1 - -4. Suppose -2*x = 1 - r. Solve 1 + 7 = -5*v - x*g, 2*v = g + 4 for v. 0 Let g be (-8)/(-10) + (-32)/40. Solve u + g*v + 2 = v, -3*u - 5*v + 26 = 0 for u. 2 Suppose 1 + 11 = -2*y - 4*m, -2*m = -2*y + 12. Suppose 5 - 71 = -y*h + 4*p, -4*h - p = -96. Let s = 39 - h. Solve -4*d + s + 5 = 5*q, d = 4*q - 11 for d. 1 Let s = -1 + 3. Suppose c - s = 1. Solve -4*w + 13 = 3*q, -4*q - 24 + 8 = -c*w for q. -1 Suppose -16 + 0 = -4*g. Let a = 3 + g. Let y = -1 - -5. Solve 13 = y*x + 4*z - a, -3*z + 19 = 4*x for x. 4 Let w be 3 + (-4 - -1) + 4. Let s be (-9)/(-6)*8*1. Let m = s - 8. Solve 0 = -2*v - 2*c - w, c + m = 5*v - c for v. 0 Let r be 403/26 - (-1)/2. Suppose -r = 6*b - 46. Solve 0 = 5*z - 4*p - 4, 2*z - b*z + 4*p + 4 = 0 for z. 0 Let g(w) = 2*w - 9. Let a be g(7). Solve -15 = -3*x, a*p - 10 = -x - x for p. 0 Let c(k) = 3*k - 19. Let w be c(8). Solve w = m + 4*x - 4, 5*x = -4*m + 3 for m. -3 Let d(l) = l + 5. Let i be d(-3). Solve -4*g = 12, i*n + g = -4 - 1 for n. -1 Let p be (0 - -1)/(3/33). Let n = p - 6. Solve -3*k + 4*k + 10 = 4*r, -8 = -k - n*r for k. -2 Let j = -163 + 166. Solve -j*i = -12, 4*w - 3*i - 2 = 6 for w. 5 Suppose 4*b + b = -40. Let i = b - -13. Solve -4*t - i*s = -t + 7, -t + s = 5 for t. -4 Suppose 60 = -5*d - 4*f, d + 5*f = 2 - 35. Let u = d - -16. Let v be ((-15)/(-5))/(6/u). Solve 4*x + v = 0, -c + 2*x + 7 = -2*c for c. -5 Suppose 0*f + 23 = f. Let m = f - 20. Solve -5*d + 3*d + 18 = 3*z, -m*d - z = -13 for d. 3 Suppose 5*o = -15, 5*s - 23 = -o - 1. Solve 0 = -s*j - 3*l + 10, 4 = -j + 4*l - 17 for j. -1 Suppose 3*l - 4*v - 62 = 0, 3*l - v = -l + 74. Suppose -3*q = 3 - l. Let w be 18/8 + (-1)/4. Solve 3*a - q = w*n, 5*n = 3*a + 7 + 3 for a. 5 Let a = 59 + -48. Solve -j - 2*w - 6 = -3*j, 2*j = 3*w + a for j. -2 Let o be ((-46)/4)/((-1)/2). Suppose -o = -3*q + 2*s - 70, -4*s - 11 = q. Let f = q - -50. Solve f = -3*y - 5*a, 2*y + 24 = -2*y - a for y. -5 Suppose -x = 6*x. Solve -b + z - 2*z = x, -3*b + 4*z + 14 = 0 for b. 2 Let v be 0/((-6)/3 + 1). Solve 0 = -2*h + z + 3, h + 0*z - 3*z + 6 = v for h. 3 Suppose -3*i - 6 = -4*i. Solve -i = 2*r - 4*z, 14 = 3*r + z - 5 for r. 5 Let t = -22 - -32. Solve -4*i + t = 2*n, -n = 2*i - 2*n - 15 for i. 5 Let i be (-99)/(-21) + (-2)/(-7). Suppose 5 = -0*t + i*t. Let q be (-18)/(-3) - (t - 2). Solve 5*m - 18 = 3*x, -3*x + q = 3*m - x for m. 3 Suppose 15 = 3*t, -2*t + 18 = -2*r + 4*r. Solve 3*g - r*u - 23 = 0, 9*u - 4*u + 30 = 4*g for g. 5 Let c be (-6)/(-2)*(-1 - 1). Let t = c + 21. Suppose 0 = -3*a - 0*a + t. Solve a*w - 5*i + 7 = 4*w, -4*w = -3*i - 6 for w. 3 Let a(o) be the second derivative of 11*o**4/6 - o. Let r be a(1). Solve 4*q = -m - 23, 2*q - 4*q = 4*m + r for m. -3 Let x(p) = -1 - p**2 + 4*p - 4*p + 7*p. Let i be x(6). Solve -i*d - 30 = 5*f, 2*d + 7*f - 3*f = -22 for d. -1 Let r be 0*(8/6)/(-4). Solve -6*o + o = -3*s + 1, s + o + 5 = r for s. -3 Let b(r) = r - 10. Let v be b(12). Suppose 3 - 11 = 4*x, -3056 = 4*q - v*x. Let t be q/(-33) - (-2)/(-11). Solve -d + t = -5*j, -j - 21 = 2*j - 3*d for j. -4 Let t = -2 + 21. Solve -5*o - 4*l - 29 = 0, -4*o - 4*l + 5*l = t for o. -5 Let r be 49/3 + 2/3. Let v be (-4 + 0)*(-2)/4. Suppose 2*w = -v*t + 8, -2*t - r = -4*w - 1. Solve -w*b + k - 10 - 6 = 0, -2*b - 2*k = -2 for b. -3 Let x = -58 + 69. Solve 2*a - 8 = -2*f, -4*a + x = -5*f + 4*f for a. 3 Let v = 14 - 12. Solve -1 = -v*w + 4*z + 5, 0 = 2*w - 2*z - 2 for w. -1 Let w be (16/(-6))/(((-3)/1)/9). Let j(o) = o**2 + 2*o - 3. Let d be j(-4). Suppose d*f - w = 3*f. Solve g = -4*z - 4, -3*z - f*g + 0*g - 16 = 0 for z. 0 Suppose 0 = -w + 3*b + 12, 3*w + b = -2*b. Suppose w*d - 20 = -d. Solve 5*y = 5, 19 = -d*m + 3*y + 1 for m. -3 Let q(p) = p**2 + 10 + 6*p - 2*p**2 - p**2 + p**2. Let r be q(7). Solve -5*l - 3*a + a = -23, -r*l + 5*a + 20 = 0 for l. 5 Let y(z) = -z**3 - 4*z**2 + 6*z + 5. Let r be 4/22 - (-114)/(-22). Let d be y(r). Solve d = 4*o - 5 + 1, -16 = -5*t + 4*o for t. 4 Let o(g) = g + 15. Let k be o(-5). Suppose a = 2*c, -6 = 5*c - 2*a - 2*a. Solve -2*t + 2*u + 28 = c*t, 0 = 2*t + 5*u + k for t. 5 Suppose -2*t + 6*b - b = -16, -2*t + 16 = -b. Solve -2*r + t + 7 = 5*k, -5*k = 3*r - 10 for k. 5 Let m = -28 - -30. Let p(w) = 4*w**2 - 2*w - 1. Let n be p(-1). Solve -4*s = 2*g - 16, -m*g = -3*g + n*s - 6 for g. 4 Let b = 11 - 11. Suppose b = -5*d + d + 12. Solve -2*f = -8, 4 = -d*c - f - f for c. -4 Let p = -6 - -6. Suppose p = -5*j + 3 + 12. Suppose -4*w - 11 = -k, 3*k - 5 = 4*w + 12. Solve 0 = -i + 1 + k, j*l + 29 = 5*i for l. -3 Let i(v) = 2*v - 1 + 2 - 3*v**2 + v**3 + 1. Suppose -2 = -3*k + 4. Let n be i(k). Solve 16 = 2*a + 5*w, a + 0*w = -w + n for a. -2 Let s be (-68)/(-11) - 8/44. Let i be 3/s*(1 - -9). Solve i*w + 40 = 5*f, -5*f + 3*w = 6 - 36 for f. 3 Suppose z = -4*z + 10. Solve 3*s = 15, -z*g - 2 = -3*s + s for g. 4 Suppose 0 = 3*v + 2*x - 0 - 15, v = -2*x + 9. Solve -2*p - v*l = -8, 0 = 4*p - l + 2 - 4 for p. 1 Let y(s) be the first derivative of s**3/3 + s**2 - s - 1. Let g be y(1). Suppose -x - g*x = -51. Solve -l - 4*t = -x, -2*l + 5*t = l for l. 5 Suppose -5*r = -4*f + 46, 3*f + 4*r - 14 = 5. Let i = f + -4. Suppose k = -2*v + 6, 2 = -k - 2. Solve 0 = 2*s - i*s + 5*j, -3*s - v*j - 30 = 0 for s. -5 Let f = -8 - -11. Suppose 2*n = 5 + f. Solve n = -p + 7, 5*p - 15 = -4*y for y. 0 Suppose 0 = -3*r - 4*x + 5, 1 = -4*r - x - 1. Let l be 2 + (r - 1) - -1. Suppose 0 = 3*o - l - 5. Solve d - 22 = -4*f, d - o*f - 3*f = -23 for d. 2 Suppose 3*w + 0*a - 2*a + 2 = 0, w + 5 = 5*a. Solve 0 = -4*x - 3*t - t, w = 4*t + 20 for x. 5
Let o = 440.4 - 555. Let i = -22.6 - o. Let z = -92.00148 + i. What is z rounded to 4 dps? -0.0015 Let c = -174 - -474. Round c to the nearest one hundred. 300 Let j = -88 + 88.0000017. What is j rounded to 6 dps? 0.000002 Let n be 4/(-12)*(-9 + 0). Let p(d) = -933338*d + 4. Let w(l) = -l + 1. Let g(t) = 3*p(t) - 15*w(t). Let a be g(n). What is a rounded to the nearest 1000000? -8000000 Let u = -2 - -2.3. Let c = u + -0.306. Round c to two dps. -0.01 Suppose 477547 = 2*w - k, -2*k = 3*w + 2*w - 1193854. Let g = w + -88772. Round g to the nearest ten thousand. 150000 Suppose m = 5*u + 3600001, 0 = u - 4*m - 267500 + 987504. What is u rounded to the nearest one hundred thousand? -700000 Let t(x) = -22221*x**2 - 7*x - 2. Let n be t(6). Round n to the nearest one hundred thousand. -800000 Let w(f) = 2*f**2 - 3*f + 11. Let j be w(6). Round j to the nearest ten. 70 Let n = 1162.788726 + -0.128726. Let y = -1193 + n. Let r = y + 31. Round r to 1 dp. 0.7 Let b = -7 - -4. Let j be -1*(1 + b) - -11. Round j to the nearest integer. 13 Let m(p) = -268*p**2 + p - 8. Let f be m(-4). What is f rounded to the nearest 10000? 0 Let q = -375.299 + 180.106. Let t = q + 195. What is t rounded to 2 dps? -0.19 Let k = -12 - -1. Let h = 10.99999944 + k. What is h rounded to 7 dps? -0.0000006 Let a = -7 + 10. Let q be a/6 + 8799999/2. What is q rounded to the nearest 1000000? 4000000 Let q(k) be the third derivative of -k**5/60 - 5*k**4/12 + 5*k**3/3 + k**2. Let s be q(-7). Let j be (-5 - s)*(-20)/(-3). Round j to the nearest 100. -200 Let r = -621 - -620.629. Let w = -0.3 - r. What is w rounded to 2 decimal places? 0.07 Let s = 2792.8 - 2080. Let y = s + -656. Let g = y + -51. What is g rounded to zero decimal places? 6 Let j = 14.9888 - 15. Round j to 3 decimal places. -0.011 Let c = 11 - 6. Let k be 2616336/c + (-2)/10. Suppose k = -2*x - 5*z - 6876743, 3*x + 4*z = -11100008. What is x rounded to the nearest 1000000? -4000000 Let x(d) = -62*d + 3. Let s = 3 - 6. Let j be x(s). Suppose 24 = 3*t - j. What is t rounded to the nearest ten? 70 Suppose 0*i + 4*i - 65992 = -5*t, -3*t + 39604 = -2*i. What is t rounded to the nearest 1000? 13000 Suppose 5*c - 5078 - 8267 = 0. Suppose -2*a - 1367 = 1851. Let u = c + a. What is u rounded to the nearest one hundred? 1100 Let l = -2.93 + 2.7. Let a = -0.76 + 1.024. Let f = a + l. Round f to two dps. 0.03 Let x = 0.40285 - 1.102845. Let l = -0.7 - x. Round l to five dps. -0.00001 Suppose 0 = -2*d + 7*l - 3*l + 1150, 1750 = 3*d - l. Suppose 3*s - 83 = b + 270, -b - 377 = 3*s. Let c = b + d. What is c rounded to the nearest 100? 200 Let j(n) = 20*n**2 - 3*n - 5. Let y be j(-5). What is y rounded to the nearest one hundred? 500 Let q = -0.9 - -2.21. Round q to 1 decimal place. 1.3 Suppose -3*h = -5*y - 0*h - 6417851, 3*y + 3850728 = -4*h. Let g = -6116428 + y. What is g rounded to the nearest one million? -7000000 Let k = 20 - 20.00000008. Round k to 7 decimal places. -0.0000001 Let p be 3 + -4 - -4 - 2. Let r(s) = -2150*s + p + 2 - 3. Let q be r(-2). Round q to the nearest 1000. 4000 Let g = -495743 - -209481. Let u = g + 482262. What is u rounded to the nearest 10000? 200000 Let t(g) = -1319*g**2 - 20*g + 19. Let u be t(9). Round u to the nearest 10000. -110000 Suppose 16512486 = -3*s + 1302486. Round s to the nearest one million. -5000000 Let t(s) = 22*s - 13. Let m be t(6). Let y = m + -38. What is y rounded to the nearest 10? 80 Let i = 48415277 - 70115277. What is i rounded to the nearest 1000000? -22000000 Let f(a) = 5701*a**3 + a**2 - a - 1. Suppose 3*y - 8 = -y. Suppose -z = -4*n + 1, y*n - 7 = 4*n + z. Let c be f(n). Round c to the nearest one thousand. -6000 Let x = -2.4 - -4. Let a = x - 15.6. Let c = 7.2 + a. Round c to zero decimal places. -7 Let j = 0.001 - 42.001. Let b = -52.298932 - -10.298963. Let w = b - j. What is w rounded to 5 dps? 0.00003 Let g = -0.136 + 0.13600063. Round g to seven dps. 0.0000006 Let o = 99 + -139.5. Round o to 0 decimal places. -41 Let x = -0.0161 + 0.0402. What is x rounded to 3 decimal places? 0.024 Suppose -3*o + 1143931 = -305024. Suppose -5*d + 3*r = -2*d - o, 0 = -3*d - 5*r + 483025. What is d rounded to the nearest 10000? 160000 Let x = -0.85 - -0.8344. What is x rounded to 3 decimal places? -0.016 Let k = -0.11 + -16.89. Let i = k + 19.5. Round i to 0 dps. 3 Let k = -22.000001 + 22. What is k rounded to six decimal places? -0.000001 Let c = 0.0560005 + -0.056. Round c to 6 dps. 0.000001 Let i be (7080/(-36))/(1/3). Round i to the nearest 100. -600 Let h(x) = x - 7. Let b be h(-5). Let j be 4/(-18) + b/(-54). Suppose 3*q + 445 + 65 = j. Round q to the nearest 100. -200 Let c = 59 - 17. Suppose 0 = 5*p + 5 + 30. Let o be 17220012/c - (-2)/p. Round o to the nearest 100000. 400000 Let a = -0.157 - -35.057. What is a rounded to zero decimal places? 35 Let p = 70 - 70.127. Round p to 2 dps. -0.13 Suppose 0 = -0*q - 5*q + 16350. Round q to the nearest one hundred. 3300 Suppose -i + 4*a = -9 - 16, -4*i + 10 = 2*a. Suppose 0*f - 3*f - 3*c - 15000 = 0, f = -i*c - 4996. Let d be 1080*(-1 - 0 - f). Round d to the nearest 1000000. 5000000 Let d = -1.25 + 1.098. What is d rounded to 2 decimal places? -0.15 Suppose 3*t + 515 = -658. Let f = t - -991. Round f to the nearest 1000. 1000 Let s be ((-9200)/12)/(2/12). What is s rounded to the nearest 1000? -5000 Let n = 1.02 - -8.58. Round n to zero dps. 10 Let c = -5 + 4. Let w be (-1 - -1) + -1 + c. Round w to 0 dps. -2 Let m be 6*3/18 - 659001*1. What is m rounded to the nearest 100000? -700000 Let o be 366 - (0 - 3/1). Let t = -159 + o. What is t rounded to the nearest 100? 200 Let i = 134 - 81. Round i to the nearest ten. 50 Let a = -4.94 - -0.32. What is a rounded to the nearest integer? -5 Let r be (2 - 0)*(-6)/(-4). Let v(s) = s**3 - 3*s**2 - 8 + 0*s**r - 4*s**2 - 7*s. Let w be v(8). What is w rounded to the nearest ten? 0 Suppose 2*x - 4 - 2 = 0. Suppose -x*r = -1571 + 611. Round r to the nearest 100. 300 Let k = 0.14 + -0.45. Let b = k + 0.258. Round b to two dps. -0.05 Let d = 0.065 + -0.335. Let w = d - -0.07. Let k = w + 1. What is k rounded to zero dps? 1 Let g = 72.000074 + -72. Round g to 5 decimal places. 0.00007 Let m = 45.4 + -45. Round m to 1 dp. 0.4 Suppose 2*v + 2*d + 15 = -3*v, -25 = 5*d. Let l be (-107)/(v + 597/594). Let r = l + 12186. Round r to the nearest one thousand. -9000 Suppose -7*m + 786 = -4*m. Let s = -115 + m. Round s to the nearest 10. 150 Let o = -279.295266 + 239.2952611. Let q = 40 + o. Round q to 6 dps. -0.000005 Let h = 1181 + -1177.638. Let j = h + -0.062. Round j to the nearest integer. 3 Let n = -45.808 - -45. Let q = n - -0.8. What is q rounded to two decimal places? -0.01 Let h be 2/(-6) + 2/6. Suppose a + h*a + 1100 = 0. Round a to the nearest 1000. -1000 Let i = 49 - 74. Let h = -24.4 - i. What is h rounded to one decimal place? 0.6 Let f be 1/4 - 553/(-28). Suppose f = 2*k - 5*h, -2*k + 5*h = 2*k - 20. Suppose 5*z - 2450 = -k*z. Round z to the nearest one hundred. 500 Let t = 94 + -61. Let k = t - 33.000034. What is k rounded to 5 decimal places? -0.00003 Let h = 129 + -129.00186. What is h rounded to 3 dps? -0.002 Let a = 20.954 + -20.7. What is a rounded to two decimal places? 0.25 Let s(i) = 16668*i - 10. Let j be s(6). Suppose l + 5*r + 56337 = 6332, 2*r = 2*l + j. What is l rounded to the nearest 10000? -50000 Let n = 402068.00001 - 402072. Let v = -11 - -15. Let f = n + v. Round f to 5 dps. 0.00001 Let r = -0.031934 + 0.032. Round r to 5 decimal places. 0.00007 Let n = 0.188 - -85.812. Let h = n + -86.0051. Round h to three decimal places. -0.005 Let p = -129.000136 - -129. Round p to four dps. -0.0001 Suppose -4*g = 2 + 2. Let q = 2 - g. Suppose -5*c + 1759990 = 4*w - q*c, 0 = w + 5*c - 439975. What is w rounded to the nearest 100000? 400000 Let h = 4.8 - 2.6. Let y = h + -2.199994. Round y to five decimal places. 0.00001 Let s(i) = -i**3 - 3*i**2 + 4*i + 4. Let r be s(-4). Let q = -4 + r. Let t(b) = b**3 - 2500000. Let w be t(q). What is w rounded to the nearest one million? -3000000 Let w = 4 + -6. Let j be 1*w + 0 + 4. Let t be (-399)/j*(-400000)/6. What is t rounded to the nearest one million? 13000000 Suppose -210 = 5*c + 5*n, -5*c + 3*n = -2*c + 102. Let h = 23 - c. Let b be (-3)/6*h*200. Round b to the nearest 1000. -6000 Let o = 0.2295 + -0.23. Round o to three dps. -0.001 Let w = 2 + -2.085. Round w to two decimal places. -0.09 Suppose -5*o - 8 = -2*p, 2*p + 2*p - 16 = 3*o. Let c be 4 + -5400004 - o/2. What is c rounded to the nearest 1000000? -5000000
Two letters picked without replacement from zzzexez. What is prob of sequence ez? 4/21 What is prob of sequence pfft when four letters picked without replacement from {f: 2, t: 2, p: 4}? 1/105 What is prob of sequence cc when two letters picked without replacement from crrccchcccchc? 6/13 Three letters picked without replacement from {i: 4, d: 2, n: 4}. Give prob of sequence ind. 2/45 What is prob of sequence isw when three letters picked without replacement from {z: 1, s: 1, i: 1, w: 1, o: 1}? 1/60 Three letters picked without replacement from {k: 2, r: 18}. Give prob of sequence rkr. 17/190 What is prob of sequence vfqf when four letters picked without replacement from ffqqffvll? 1/126 Calculate prob of sequence jd when two letters picked without replacement from rjdrjd. 2/15 Four letters picked without replacement from {l: 1, b: 1, i: 2, f: 2, d: 2, y: 5}. What is prob of sequence ffiy? 1/858 What is prob of sequence op when two letters picked without replacement from {p: 1, o: 2, t: 1}? 1/6 Two letters picked without replacement from {f: 3, b: 10, d: 3, w: 4}. What is prob of sequence bf? 3/38 What is prob of sequence hxxx when four letters picked without replacement from xhhhxxxhxxhxxxhxxx? 11/102 Four letters picked without replacement from {a: 9, q: 2}. What is prob of sequence aqaa? 7/55 Two letters picked without replacement from {f: 2, x: 1, u: 2, r: 9, v: 3}. Give prob of sequence vx. 3/272 Calculate prob of sequence wh when two letters picked without replacement from fhfhhqwkh. 1/18 Two letters picked without replacement from tdtttttttktttft. Give prob of sequence kt. 2/35 Calculate prob of sequence jrr when three letters picked without replacement from rrjr. 1/4 Two letters picked without replacement from xnexnxxqmm. Give prob of sequence xm. 4/45 Four letters picked without replacement from nnnnzznnnnznnnnnnn. Give prob of sequence zznz. 1/816 Two letters picked without replacement from {h: 3, d: 8}. What is prob of sequence dd? 28/55 Three letters picked without replacement from bbee. Give prob of sequence bbe. 1/6 Three letters picked without replacement from fsffpbcfb. Give prob of sequence bsp. 1/252 Two letters picked without replacement from ajaeaaaejjnan. Give prob of sequence ea. 1/13 Four letters picked without replacement from {e: 1, j: 14}. Give prob of sequence jjje. 1/15 What is prob of sequence mmmm when four letters picked without replacement from mmmmmmm? 1 Calculate prob of sequence wn when two letters picked without replacement from {k: 1, w: 2, n: 1, f: 1, j: 1, u: 2}. 1/28 Four letters picked without replacement from qkkdqkkdqtzgkkt. Give prob of sequence qqkk. 1/182 Calculate prob of sequence fy when two letters picked without replacement from fhyhfhfyyhfyfy. 25/182 What is prob of sequence uuwu when four letters picked without replacement from wuwuimuuiuiuiu? 5/286 Three letters picked without replacement from mmrtuzgrmgrrgtt. Give prob of sequence rgr. 6/455 Calculate prob of sequence grck when four letters picked without replacement from {p: 4, n: 3, g: 1, r: 3, c: 2, k: 3}. 3/7280 Calculate prob of sequence jsy when three letters picked without replacement from {y: 1, i: 8, g: 1, l: 2, j: 3, s: 1}. 1/1120 Three letters picked without replacement from {r: 2, c: 12, o: 2, x: 1, w: 1}. Give prob of sequence rcr. 1/204 Calculate prob of sequence mr when two letters picked without replacement from qmscrmeq. 1/28 Two letters picked without replacement from qqqxqqqqqqxq. What is prob of sequence qx? 5/33 Calculate prob of sequence ttt when three letters picked without replacement from ttttttt. 1 Three letters picked without replacement from jzzzl. Give prob of sequence zzz. 1/10 Two letters picked without replacement from {i: 1, t: 2, j: 1}. Give prob of sequence it. 1/6 Two letters picked without replacement from dtadannqaacqcq. Give prob of sequence an. 4/91 What is prob of sequence sss when three letters picked without replacement from {s: 5}? 1 Two letters picked without replacement from vfzeelzfezvzlbzee. What is prob of sequence el? 5/136 Three letters picked without replacement from {j: 4, t: 1, h: 1, l: 4, b: 1, u: 3}. What is prob of sequence uju? 1/91 Two letters picked without replacement from {u: 1, f: 2}. Give prob of sequence fu. 1/3 Two letters picked without replacement from {f: 1, y: 1, d: 2, x: 1, o: 1, p: 1}. Give prob of sequence fy. 1/42 Calculate prob of sequence rhrw when four letters picked without replacement from {w: 1, r: 2, h: 4}. 1/105 Four letters picked without replacement from {y: 4, x: 1, j: 4, d: 4, r: 1, c: 3}. What is prob of sequence ddcy? 3/1190 Calculate prob of sequence un when two letters picked without replacement from fdeuedenfdf. 1/110 Calculate prob of sequence ssys when four letters picked without replacement from aasassyaasaaaa. 1/1001 What is prob of sequence aub when three letters picked without replacement from {b: 3, y: 7, u: 1, a: 2, l: 1}? 1/364 Calculate prob of sequence xdpp when four letters picked without replacement from pgodppgxogghdho. 1/2730 Four letters picked without replacement from etoeevteoeee. What is prob of sequence oeev? 7/990 Two letters picked without replacement from {p: 11, l: 6, t: 2}. What is prob of sequence tl? 2/57 Three letters picked without replacement from ambddeo. What is prob of sequence dbd? 1/105 Three letters picked without replacement from {a: 3, i: 1, t: 5}. Give prob of sequence taa. 5/84 Two letters picked without replacement from mgkmkmkeekekmmkk. What is prob of sequence kk? 7/40 Three letters picked without replacement from {s: 1, q: 3, e: 4}. What is prob of sequence esq? 1/28 Two letters picked without replacement from {m: 3, y: 2, z: 4, l: 2, v: 1, u: 2}. Give prob of sequence uy. 2/91 Three letters picked without replacement from {c: 7, t: 6}. Give prob of sequence ccc. 35/286 Four letters picked without replacement from {y: 3, h: 2, v: 6, l: 5, x: 2}. What is prob of sequence yxxv? 1/2040 Two letters picked without replacement from dkaakkkdkkkdkakdqdqq. What is prob of sequence kd? 9/76 Three letters picked without replacement from {i: 1, b: 1, g: 3}. What is prob of sequence gib? 1/20 Four letters picked without replacement from {q: 2, l: 1, z: 2, w: 1, i: 1, e: 1}. Give prob of sequence qqiw. 1/840 Four letters picked without replacement from {l: 7, a: 12}. Give prob of sequence llll. 35/3876 What is prob of sequence bp when two letters picked without replacement from ehebahapahibhhhebhh? 1/114 Three letters picked without replacement from yjjxnjeeejzjxje. Give prob of sequence zne. 2/1365 What is prob of sequence ykza when four letters picked without replacement from {o: 1, a: 2, y: 2, x: 2, k: 1, z: 5}? 1/858 Two letters picked without replacement from wzzzwzzzz. What is prob of sequence ww? 1/36 Four letters picked without replacement from {d: 1, a: 1, p: 1, x: 8, u: 4}. Give prob of sequence udxa. 4/4095 Two letters picked without replacement from qscuqucsuhqqsu. Give prob of sequence sh. 3/182 What is prob of sequence bb when two letters picked without replacement from wwjbwbrw? 1/28 Calculate prob of sequence tr when two letters picked without replacement from {x: 3, r: 7, q: 1, p: 2, t: 5}. 35/306 Three letters picked without replacement from wdljlxllwxwlwcjjjlx. What is prob of sequence lcd? 1/969 Calculate prob of sequence hhhh when four letters picked without replacement from {h: 6}. 1 What is prob of sequence hh when two letters picked without replacement from {b: 1, u: 3, h: 3}? 1/7 Three letters picked without replacement from ejvjejjeeeejeeejeeje. What is prob of sequence eje? 77/570 What is prob of sequence nvq when three letters picked without replacement from {n: 2, v: 1, h: 4, q: 1, l: 1}? 1/252 What is prob of sequence xl when two letters picked without replacement from iiaiixlix? 1/36 Three letters picked without replacement from {j: 1, d: 2, v: 8, u: 2}. Give prob of sequence dvv. 28/429 Two letters picked without replacement from cycycccycccyy. Give prob of sequence cy. 10/39 Four letters picked without replacement from ywewewwy. Give prob of sequence eewy. 1/105 Four letters picked without replacement from xqjde. What is prob of sequence xqdj? 1/120 Three letters picked without replacement from llgptplypg. Give prob of sequence pty. 1/240 What is prob of sequence lncc when four letters picked without replacement from {l: 1, n: 4, c: 2, z: 4}? 1/990
Let a be (7 + 1)/(12/(-30)). Is -21 at least a? False Let v = -9 + -7. Which is smaller: -14 or v? v Let w be 1/((-4)/(-176)*4). Is 11 at least as big as w? True Let a = 4 - 1. Let d = 5 + -3. Which is greater: d or a? a Suppose 0*d - 2*d = 2*k + 4, 19 = -2*k - 5*d. Let o be ((-1)/(-9))/((-2)/(-12)). Which is smaller: o or k? o Let v(h) = -14*h + 12. Let z be v(7). Are -86 and z non-equal? False Let b be ((-70)/12)/7*(10 + -9). Let o = -1 - 0. Which is greater: o or b? b Suppose -2*q = -3*q. Suppose -7 = -3*y - 4*u, -3*y + 22 = 2*u - u. Suppose 3*s - y = 3*t, 0*t - 2 = 4*t + s. Is q not equal to t? True Suppose 5*u - 33 = 3*z, 5*u - 18 - 7 = -5*z. Let a = -4 + u. Suppose -2*w = -0*w + a. Which is smaller: w or 0? w Let l(p) = -47*p**2 - 2*p + 1. Let r be l(1). Let s = r - -145/3. Which is greater: -3 or s? s Let h(f) = -f**3 - 4*f**2 + 4*f - 4. Let w be h(-5). Suppose 10 = -5*j + i, 7 = i + 2. Which is smaller: j or w? j Let o = 5.08 - 0.08. Let r = o - 5.3. Which is smaller: r or 2/5? r Let y = -6/85 - -229/2040. Is y less than 1? True Suppose -3*d + 17 = 5*p - 12, 2*d = 5*p - 14. Suppose -d*h + h = 30. Is -15 smaller than h? False Let j(c) = c - 4. Let y be j(7). Suppose 0 = r - y*r - 2. Let f be (r*(2 - 2))/(-1). Is 1 bigger than f? True Suppose 3*h = 4*w - 2*h + 44, 0 = 3*h - 12. Let b = w - -14. Let j = b - 4. Is 5 at least j? True Let k = 0 - 0. Which is bigger: k or -2? k Let w = 56 + -59. Does 2 = w? False Let h = 5 - 3. Suppose -2*a - 4*j = -a + 2, 0 = -2*a - 2*j + h. Which is greater: 4 or a? 4 Let n = 0.4 - -3.6. Let o = -2 + n. Let h be (-5)/(-5) - 2/2. Is h less than o? True Let b = -21/5 - -5. Is 2 <= b? False Suppose 5*s - 2*x = 52, 2*s + 3*x - 10 = 7. Let c be s/4 + 12/(-8). Is c greater than -2/11? True Let k(c) = -c**3 - 2*c**2 - 2*c - 2. Let t be k(-2). Let b(g) = -g + 14. Let z be b(10). Which is greater: z or t? z Suppose -9 = 2*v + 1, 5*b - 5*v = 50. Let z = 4 - 2. Suppose -z*p - 3*p + b = 0. Which is smaller: p or -1/3? -1/3 Let i = 0.09 + 0.01. Is i equal to 3? False Let o(z) = -z**2 - 11*z - 6. Let n be o(-10). Let h be (18/n)/(1380/33). Let b = 2/115 + h. Which is smaller: b or -1? -1 Suppose 1 = q + 4*u, -3*q - 3 = -u - 6. Do q and 10 have the same value? False Suppose 0 = 5*a - 0 + 10. Which is greater: -0.8 or a? -0.8 Suppose 0 = 2*v - 5*j + 27, -4*v + 26 = 4*j + 10. Which is smaller: -1/15 or v? v Let k(j) = 0 + 4 - 7*j + 0. Let b(u) = -3*u + 2. Let v(w) = 5*b(w) - 2*k(w). Let l be v(2). Which is smaller: -2 or l? -2 Let g(k) = k - 4. Let t be g(7). Suppose t*c = -15 - 6. Let m = -4 - c. Which is smaller: 4 or m? m Let p = -65.8 - -75. Let h = 9 - p. Let w = 1 + 1. Which is bigger: h or w? w Let o = -2 - -5. Let y = -2.8 + o. Let z = -0.1 - 0. Is y at least as big as z? True Let n = 21 - 23. Which is smaller: n or -1/2? n Let j = -30 - -34. Which is bigger: 1 or j? j Let x = 0.08 - -0.02. Let u = 0.2 + -0.09. Do x and u have different values? True Let h be 2/(-7) - (-20494)/140. Let f = h + -146. Let v = -2 + 2. Is v >= f? False Suppose 0*z - 5*z + 35 = 0. Let l be -4 + (-7)/((-28)/36). Which is greater: z or l? z Let d = -2.1 + 2. Let w = -0.5 + 0.5. Let r = d - w. Which is smaller: r or -1? -1 Let g(t) = 2*t**3 + 4*t**2 + 2*t. Let k be g(-2). Let z be k/(-2) + 44/(-18). Which is smaller: z or -1? -1 Let u = 1.1 - 1. Is -24 smaller than u? True Let j = 0.2 - 0.1. Let p = 0.1 - 0.11. Let q = p + 0.31. Do q and j have the same value? False Let m be (6/(-9))/(2/(-90)). Let h be -2*m/(-16) - 4. Is 3/8 at least as big as h? True Let s = 27 - 21. Is 2 equal to s? False Let v = 4 - 8. Let r(o) = -o**3 - 4*o**2 + 2*o + 6. Let c be r(v). Is c at most as big as -2? True Let s = 7 - 6. Does s = 2/15? False Let q be (1 + 65/(-25))/((-2)/(-10)). Which is greater: q or 1? 1 Let t be 2 - 834/472 - 2/8. Is t less than 1? True Suppose 146*d = 138*d + 16. Let p = -9 + 13. Are d and p equal? False Let r(w) be the second derivative of -w**5/20 - 5*w**4/12 - w**3/6 + 3*w**2/2 - w. Let z be r(-5). Suppose -g + 2*g - z = 0. Is 7 greater than g? False Let y be 9/12*-1*1. Are -2 and y equal? False Let l(v) = -5*v + 40. Let m be l(25). Do m and -86 have the same value? False Let o be 0 - (-5)/1*(-1)/(-16). Which is smaller: o or 0? 0 Let r be ((-16)/(-10))/((-16)/(-40)). Let m be (-4 + r)*2/6. Which is greater: 2/3 or m? 2/3 Suppose 4*r - 3*h - 65 + 16 = 0, -2*h = 6. Let u be (-96)/50 - (-20)/r. Suppose 2 = 2*s - m - 3, -7 = 5*s + 4*m. Which is bigger: s or u? s Let i = -75 - -99. Which is smaller: i or 1? 1 Let u(g) = -2*g - 11. Let l be u(-10). Is 11 greater than l? True Let c = -9 - -3. Suppose -h + 2*b = -0*b - 10, 3*h + b = 2. Let k be (-16)/c - h/1. Which is greater: 1 or k? 1 Let a = 1430/4181 + -12/37. Are -1 and a nonequal? True Let d(y) = -15*y**2 + 2*y - 1. Let j be d(2). Let a = 14252 - 71543/5. Let x = a - j. Which is smaller: x or 7? x Suppose -8*w - 2775 = -3*w. Let m be 4*(w/(-186) - 3). Do m and -1 have different values? True Let y = -0.091 - -0.271. Which is greater: y or -1/2? y Let a = -6 - -5. Which is smaller: a or -1/8? a Let y = 15499/52 - 298. Are y and 1 unequal? True Let u = -7 - -5. Let k be (-9)/(-6) + u/(-4). Suppose k + 0 = 2*x. Is x at most 0? False Suppose q + 35 = 5*l, 5*q - 5 = -4*l + 52. Let t be (8/(-70))/(l/20). Which is greater: -3 or t? t Let v be (-4)/((-8)/(-2)*-1). Is -4/13 greater than v? False Let p = 97/30 + -10/3. Which is smaller: 0 or p? p Let s = 5.8 - 6.8. Let g = -0.2 + 0.3. Which is smaller: g or s? s Suppose -l - 2*g = 1, 0 = 2*l + g - 2 - 2. Suppose 3*j + 4*w = -0*j - l, -3*j = w + 3. Which is smaller: j or 0? j Let s = 10219/35 + -292. Is 0 greater than s? True Let v = 17 - 17. Does v = -1/4? False Let p = -11 + -11. Is 4 at most p? False Let k(c) = -c - 3. Suppose -h = -3 + 6. Let m be k(h). Let y(i) = i**3 + 6*i**2 + 5*i - 1. Let t be y(-5). Which is smaller: t or m? t Let k(c) = 8*c**3 - 2*c**2 + 2*c. Let z be k(1). Let r = -0.4 + 0.5. Is z equal to r? False Let q = 1104/7 + -158. Let i = 0.118 - 1.148. Let d = i - -0.03. Are q and d nonequal? True Let w(x) = -x**2 - 4*x. Let v be w(-2). Suppose -5*l + v = -3*p, 0*p = 2*l + 2*p - 8. Let n = 1 - l. Which is smaller: n or -2/13? n Let u = 2100/17 + -13306/119. Is u >= 12? False Let j = 0.09 + -0.1. Let m = j + 0.01. Which is smaller: -2/7 or m? -2/7 Let q = 0.1 - -12.1. Which is greater: -1/3 or q? q Suppose 4 = -2*u + 2, -2*q - 2*u - 4 = 0. Let c be 21/18*11/154. Which is bigger: c or q? c Let y = 11 - 9. Suppose 0 = -y*q + 3*q. Is 2/5 at most q? False Let f = -0.35 - -0.05. Let q = -3.7 - -4. Let g = f + q. Is g < -4? False Suppose 4*y - 35 = -3*k - 6, 3*k - 14 = -y. Suppose -19 = 4*u + 5*w, 2*w = k*u - 5*u - 10. Is -5 bigger than u? True Let d(t) = -t**2 - 8*t - 11. Let l be d(-2). Does 4/17 = l? False Let f(d) be the third derivative of -d**6/120 + d**5/15 + d**4/4 + d**3/6 + d**2. Let h be f(5). Let q = 0 + 7. Which is smaller: h or q? h Let s = -0.8 - -0.4. Let a = -1.6 + s. Are 1/5 and a equal? False Let w = 20 - 22. Let u = -1449/2596 - -3/236. Is w > u? False Let j = -0.0715 + 0.0315. Let b = 0.4 - 0.3. Let t = b + 0.9. Which is greater: j or t? t Let a = 167/2 + -85. Which is bigger: -1 or a? -1 Let b be (-2)/4*(-536)/(-14). Let a = b - -19. Which is smaller: 1 or a? a Let d(z) = 14*z + 21. Let s be d(-15). Let a be 144/s - (-1)/3. Which is smaller: -1 or a? -1 Suppose -4*k + 2*k = -16. Suppose 2*a = 4*f - 2*f + k, -4*a = f + 4. Is -4 > f? False Let c be 0 - 2/(-11) - 72/(-88). Is -2/115 less than c? True Suppose -33 - 7 = -4*t. Let m = 4 - t. Is -7 greater than m? False Suppose 2*b + 27 = -b. Are -11 and b equal? False Suppose -k - 18 = 2*k. Let v = k + 6. Which is smaller: -2/7 or v? -2/7 Let x be 0 + 0 - (-8 - 7). Let d be 24/10 + (-6)/x. Which is bigger: d or 4? 4 Suppose -211*z = -205*z - 180. Is z at least 30? True Suppose c = 4*d - 188, 2*d = 6*d - 5*c - 188. Let h be 4/d*(-2)/(-4). Which is bigger: h or -1? h Let l = -26 + 24. Suppose 4 = -r + 2. Do l and r have the same value? True Let b = 34 - 24. Which is greater: b or 0? b Suppose 0 = 6*y - 10*y + 464. Which is smaller: 117 or y? y Let d = 11.1 + 2.9. Which is smaller: d or 0? 0 Let s = -10 + 12. Let a = -0.8 + 1. Let t = 0 + a. Which is smaller: s or t? t Suppose l = -5*w - 23, -5*l - 4*w = 48 - 17. Let x be (1 - 1/1)/3. Which is bigger: x or l? x Let s = -263 - -5785/22. Is s less than 1? True Suppose 0 = 3*r - r + 14. Let k(l) = -l**3 - 7*l**2 - l - 5. Let a be k(r). Is 3 smaller than a? False
Rearrange 880*u + 14568*u**2 - 880*u - 3794*u**2 to p*u + h + r*u**2 and give r. 10774 Express (-4*d - 4 + 4)*(2*d**3 + 3*d**3 - 6*d**3) + (2*d**2 + 4*d - 4*d)*(10*d**2 - 25*d + 25*d) as u*d**4 + m*d**3 + i*d**2 + n*d + y and give u. 24 Express ((2 - 2 + 2*i)*(1 - 1 + 2) - 4*i + 3*i + 0*i + i - 8121 + 9377 - 5*i - 3*i)*(-3*i + 3*i - i) as p*i**2 + r + w*i and give w. -1256 Rearrange (26*c - 9*c + 25*c)*(3*c**3 - 2*c**3 + 0*c**3 + (-5*c**2 + 2*c**2 + 4*c**2)*(-c + 0*c + 3*c)) to i + g*c + x*c**4 + q*c**3 + u*c**2 and give x. 126 Express 10*w - 7*w + 17*w + (1 - 3 + 1 + (-5 + 2 + 2)*(-4 + 5 - 3))*(16*w + 73*w - 28*w) in the form q + c*w and give c. 81 Express -2*j**2 + 62045 - 27450 - 30577 in the form x + b*j + a*j**2 and give x. 4018 Rearrange (-102 - 73 - 5)*(0*t + 2*t - 4*t) - 1 + 1 - 2*t + (37 - 18 - 23)*(-t + 0*t - t) to the form c*t + h and give c. 366 Express (72 + 888 - 1948 + 4 + 2 - 4 + (1 - 5 + 3)*(1 - 1 - 1) + 2 + 3 - 1)*(-5*l + 2*l + 2*l) as a + q*l and give q. 981 Express 1206*r**3 + 6 - 1218*r**3 + 3*r**2 + 3*r - 4 + (7*r**2 - 2*r**2 - 3*r**2)*(5*r - 4*r - 3*r) in the form i*r**2 + a*r**3 + j*r + b and give a. -16 Express (-87 + 15*y + 3*y**2 + 171 - 86)*(5 - 5 + 18*y) as a*y**2 + m + s*y + w*y**3 and give a. 270 Rearrange 3*d - 18 - 7*d**2 - 36 + 0*d**2 - 117 + 6*d**2 to g*d + v + u*d**2 and give g. 3 Express 41*g - 46*g**2 + 198*g - 114*g + 5*g**2 - 12*g**2 as n*g + a*g**2 + m and give a. -53 Rearrange (-s + 2*s + 3*s)*(-5 + 5 + 2*s) + 109*s - 199856 + 199856 + s**2 - 566*s to o*s**2 + l*s + b and give o. 9 Express 0*i**2 - 5*i**3 - 44*i**4 - 8*i - 37*i**4 - 3*i**2 + 70*i**4 in the form k*i**2 + s + c*i + f*i**3 + v*i**4 and give c. -8 Rearrange 11 - 3760*c - 4363*c - 2217*c - 11 to y*c + j and give y. -10340 Express -7898*x**2 + 2635*x**2 - 4 + 2623*x**2 + 2625*x**2 + 2*x - 3*x as r*x**2 + k*x + m and give k. -1 Express 2*d - 1595*d**2 + 4740*d**2 + 118*d**4 + 2*d**3 - 116*d**4 as j + p*d**2 + x*d + t*d**4 + h*d**3 and give x. 2 Express (1604*s - 5841*s - 90849*s)*(2 - 2 + 1) as r + p*s and give p. -95086 Rearrange -18*d**2 + 13*d**3 + 5779 - 2895 - 2884 - 2*d to z*d**2 + c*d + q + j*d**3 and give c. -2 Rearrange (-41 + 11*y - 14*y + 5*y - 105)*(-13 + 22 + 18)*(1 - 2 + 3) to the form n + r*y and give n. -7884 Express -3*y**2 + 3*y**2 - y**4 + (3*y - 4*y - 4*y)*(5*y**3 - 4*y**3 + 0*y**3) + 712*y**4 + 204*y**4 + 16*y**4 as s*y**4 + w + x*y**3 + g*y + r*y**2 and give s. 926 Rearrange -315953*w + 17*w**3 - 44 + 315953*w to the form i*w**3 + z*w + s + f*w**2 and give i. 17 Express 4225*f + 1974*f - 2202*f + 3263*f as j*f + n and give j. 7260 Rearrange 4*p**4 - 24*p**4 - 17*p**4 + (-25*p + 11*p - 7*p)*(-3*p + 3*p + 5*p**3) to the form n + l*p + c*p**2 + m*p**3 + b*p**4 and give b. -142 Rearrange -20914*p - 6120*p + 7985*p to n + l*p and give l. -19049 Express (-a + 0*a + 2*a)*(-4*a + 3*a - a) - 3*a**2 + 0*a**2 + 4*a**2 - a + a + 758911*a**2 - 750971*a**2 in the form p + o*a + z*a**2 and give z. 7939 Express -592*n**3 - 213*n**3 - 1025*n + 513*n + 514*n - 4*n**2 in the form v*n**3 + d + j*n + t*n**2 and give v. -805 Rearrange 7*q**3 + 1333*q + 57*q**2 - 1327*q - 6*q**3 + 3 to the form o*q + a*q**2 + s*q**3 + h and give h. 3 Rearrange -54*k**3 + 11*k**3 + 17*k**3 + 15*k**3 - 481 + 14*k**3 to t + j*k**3 + x*k**2 + g*k and give j. 3 Express 2*w**2 + w - 989 + 12*w**3 + 11*w**3 - 61*w**3 + 11*w**3 + 29*w**3 as m*w + g + n*w**2 + x*w**3 and give x. 2 Rearrange ((0 - 2 + 4)*(-2 + 3 - 2) + 3198 + 2025 - 1769)*(6*p**3 - 11*p**3 + 4*p**3 - 2) to t + d*p**2 + h*p**3 + w*p and give t. -6904 Rearrange -184*r - 50*r - 1 - 97*r - 91*r to v*r + k and give v. -422 Express 380*q + q**2 - 1944*q + 2*q**2 - 230*q as w*q**2 + l*q + i and give l. -1794 Rearrange 377*y**2 - 377*y**2 - 25 + 2 - 2*y - 33 + 33*y**3 to the form i*y + m*y**2 + r*y**3 + w and give r. 33 Rearrange (5*w - 5*w + w)*(0 - 8 + 3 + 1 + 1 - 3 + (4 - 5 + 2)*(-3 + 0 + 2) + 0 + 6 + 4) to i*w + u and give i. 3 Express -2915 + 3*d - 2048 - 5*d + 5834 in the form o + y*d and give o. 871 Express (0 + 3 - 4)*(-r + 3*r + 2 - 5) - 16*r + 9*r - 9*r + (23*r - 30*r + 114*r)*(3 + 0 - 2) as t*r + s and give s. 3 Rearrange (-2 - 3*g + 2)*(2*g - 7 + 7 + (4 - 1 - 5)*(-1 + 5*g + 1) + g + 2*g - 4*g - 5*g - 3*g + 3*g) to x + a*g**2 + q*g and give a. 42 Express -369*u**2 - 317*u**2 - 6*u - 410*u**2 + 681*u**2 - 409*u**2 as w*u**2 + x + p*u and give w. -824 Express 6 + 29*p - 45*p**2 - 28*p**2 + 2*p**3 + 74*p**2 in the form q*p**2 + n*p + g*p**3 + v and give g. 2 Express 4*z + 10*z - 100 + 25*z - 42*z - 500 in the form j*z + d and give d. -600 Rearrange 369*q**2 + 12158*q**2 + 1357*q**2 + 969*q**2 to x + c*q**2 + a*q and give c. 14853 Express (-s + 3*s - 3*s)*(-1131*s - 4265*s + 731*s)*(-2*s**2 - s**2 + 7*s**2) in the form f*s**2 + i*s**4 + r*s + v*s**3 + c and give i. 18660 Rearrange (-3 - 3 + 1)*(0 + 3 - 1)*(2*y**3 - 2489*y**2 - 8402*y**2 - 171*y**2 - 3487*y**2) to r*y + q + v*y**2 + z*y**3 and give z. -20 Rearrange 199*n + 291*n + 9222938*n**3 - 9222940*n**3 - 2 to the form u + p*n**2 + a*n + s*n**3 and give s. -2 Express -k**3 - 330*k**2 + 27 + 328*k**2 + 4*k**3 + 2*k**4 + 3*k - 3*k**3 in the form q + a*k + f*k**2 + j*k**4 + c*k**3 and give j. 2 Express 68*d**2 - 4 - 10*d + 62*d**2 + 5*d - 95*d**2 as n*d + g*d**2 + v and give v. -4 Express -1531*q - 16 + 3132*q - 1444*q in the form d + g*q and give g. 157 Express -57*w + 66*w + 4 + 1 + 115 + 51 in the form m + b*w and give m. 171 Express (-2 + 2*i + 2)*(-2 + 2 + 2) + 332 + 1447*i - 336 + 874*i in the form t + r*i and give r. 2325 Rearrange 497*g + 460*g - 1028*g - 4 + (3 - 4 - 4)*(-2*g + 1 - 1) - 3*g + 2*g - g + (-2 - 1 + 2)*(-1 + 1 + 2*g) to u + s*g and give s. -65 Express x - 2*x**4 - x + (3 + x - 3)*(4*x - x + 0*x)*(43 - 42*x**2 + 58 - 110) as g + o*x**3 + r*x + j*x**2 + a*x**4 and give a. -128 Rearrange -45 + 360*m**2 - 190*m**2 - 20*m**3 - 182*m**2 + 23*m**3 to p*m**2 + w + l*m + z*m**3 and give z. 3 Express 3*x + 0 + 0 + (-2*x + 3*x + x)*(-9 - 1 + 4) + 19*x - 588 + 588 + (-4 + 0 + 2)*(-2 + 2 + 2*x) + 5*x - x - 2*x - 3 + 3 - x in the form q*x + y and give q. 7 Express -14*z**2 - 236 - 13*z + 452 - 220 in the form l + f*z + m*z**2 and give l. -4 Rearrange 0*q - 3*q + q + (-5*q + q + 2*q)*(-3 + 6 - 1) + 129*q - 612*q - 513*q to the form g*q + k and give k. 0 Express (-2*s**2 + 3*s - 3*s)*(-s - 4*s + 4*s) + 8*s**3 + 1219*s - 1214*s - 6950*s**2 + 7022*s**2 as d*s + i*s**2 + a + l*s**3 and give l. 10 Express 2402*x - 1325*x - 7955*x - 4766*x as l + q*x and give q. -11644 Rearrange 4 - 2*p**4 - 4 - 2*p**4 + 2*p**2 - 10 - 2*p**3 + 10 + (p**2 - p**2 - 5*p**3)*(-88*p + 365*p + 179*p) to c*p**2 + u*p**4 + a*p + o*p**3 + q and give c. 2 Rearrange -266*f + 521*f - 2073*f - 706*f to c + q*f and give q. -2524 Express (-2 + 215*a - 19*a - 42*a)*(1 + 1 + 7 + 2 - 4 + 0 + (3 - 1 + 0)*(-4 + 4 - 2)) + (-1 + 1 - 4)*(4*a - a - 2*a) as l*a + p and give p. -6 Rearrange -3 + 5*z - 12*z - 28*z**3 + 27*z**3 + 10 + 11*z + 5*z**2 to y*z**2 + b*z**3 + h + p*z and give p. 4 Express -2694 + 970 - 2390 + 45 - w**2 - 285 in the form s*w**2 + n + t*w and give s. -1 Rearrange 6363*j**2 - 12733*j**2 + 2744 + 6371*j**2 to a*j**2 + y + g*j and give g. 0 Rearrange -9077*z + 9661*z + z**2 + 2 - 6 + (z - 2*z - z)*(3 - 3 - z) to the form u*z**2 + k + s*z and give s. 584 Express 3 + 11*a**2 + 434*a - 8*a**2 + 28*a - 13*a + 70*a as c + r*a + m*a**2 and give r. 519 Rearrange (2*i**2 + 8 - 2 - 7)*(53 - 95 + 49) to q + j*i + w*i**2 and give q. -7 Rearrange 400481*y + 81*y**2 - 400481*y - 9 to r*y + c + g*y**2 and give c. -9 Rearrange (3 - 3*n + 0 - 2)*(-2348*n - 63*n**2 - 84*n**2 + 148*n**2) - 3*n**3 + 2*n**3 - 3*n**3 to the form b*n + m*n**2 + h*n**3 + z and give m. 7045 Express (43 - 160 - 274 - 145)*(6121 - 6121 - 48*k) as o + y*k and give o. 0 Express 16*x + 1 + 2*x + 12*x - 3*x + 30*x**3 - 77*x**3 in the form b*x**3 + t*x**2 + q + s*x and give b. -47 Rearrange (2 - 2 + 6*n)*(39*n**3 - 61 - 30 + 2*n + 89) to b*n**4 + c + l*n + u*n**3 + q*n**2 and give q. 12 Rearrange -17*i + 26 + 32 + 13 - 39 to j*i + a and give a. 32 Rearrange 41959*q + 42688*q + 40873*q - 120670*q to l + n*q and give n. 4850 Express ((-3 - 1 + 7)*(7 - 4*x - 7) + 10*x + 12*x - 9*x)*(98 + 2*x - 49 - 52) as m*x**2 + h + k*x and give m. 2 Rearrange -3*v + 13*v**2 + 5 + 6*v**2 + 9*v**2 - 27*v**2 + 29 to x*v + u + n*v**2 and give x. -3 Express 1751583*d - 1751584*d + 9131 - 2271 in the form g + v*d and give v. -1
Let i = -12.6 - -12.8. Let j = -221 + 269. Sort j, i, -3 in ascending order. -3, i, j Suppose 0 = 5*r - l - 60, 3*r = -11*l + 10*l + 36. Let n = -5 + 8. Suppose r = 2*m - 5*k + k, 4*m + k = -n. Put -2, -5, m in decreasing order. m, -2, -5 Let s = -47 - -25. Let r be -4 + -2 + (-128)/s. Let k = 2 + -4. Put r, k, -4 in increasing order. -4, k, r Suppose -9 = 4*z - 5*y, 13*z - 11*z - 13 = -y. Let q be 10/((-300)/34) - z/(-30). Sort q, 0, 0.102. q, 0, 0.102 Suppose -3*b - 2*b + 3*d - 3 = 0, 4*b + 4*d = -28. Let c = 2281 - 2280.98. Let r = -18 + 13. Sort c, b, r in decreasing order. c, b, r Let f be 2 + (-1)/2*(-1 + 5). Let w(l) = l**2 - 5*l - 166. Let h be w(f). Let x = -1828/11 - h. Put 2/7, x, -4, -0.7 in descending order. 2/7, x, -0.7, -4 Let i = 6 - 10. Suppose 0 = -29*b - 4 - 25. Sort i, 4, 5, b in decreasing order. 5, 4, b, i Let p(z) = -z**3 - 9*z**2 - 7*z + 10. Let o be p(-8). Sort o, -5, 119, -2, 4. -5, -2, o, 4, 119 Let h = 466 - 462. Put h, 0, -6, -25 in decreasing order. h, 0, -6, -25 Let u(f) = 2*f**2 - 110*f - 732. Let z be u(61). Let x = -7 + 5. Sort z, -16, x. -16, x, z Let x = -5829.5 + 5829. Sort -31.9, 0.5, x, -2/3. -31.9, -2/3, x, 0.5 Suppose 25 = 6*p - 11. Let t(x) = 2*x - 2. Let f be t(3). Put f, -41, -4, p in descending order. p, f, -4, -41 Suppose 5*f - 4 = 4*f, 5*g + 2*f = 128. Suppose -g*r - 21 = -31*r. Put -4, r, -12 in descending order. r, -4, -12 Let p(l) = l**3 - 46*l**2 + 44*l + 43. Let x be p(45). Sort x, 0, -354, 5, -4 in ascending order. -354, -4, x, 0, 5 Let g be -106*12/(-504) - (-6)/(-7). Sort -2/15, g, 3.11, 2/5 in ascending order. -2/15, 2/5, g, 3.11 Suppose 0 = 8*n - 131 - 581. Suppose -n = -7*u - 19. Let i = -104 + 101. Sort i, -2, u, -1 in ascending order. i, -2, -1, u Let u be ((-4)/(-52))/((-485)/(-1261)). Sort 285, -0.4, 1/4, u in decreasing order. 285, 1/4, u, -0.4 Let p be (-44)/18 - (1 + -3). Let w be (65/(-26))/(10/(-48)). Suppose w = -3*z, -2*f + 2 = -0*z - 2*z. Put 4, f, p in descending order. 4, p, f Suppose -2 = s - 4, 5*c + s = -18. Suppose 2*r + 15 = 3*a, -5*a = 268*r - 264*r - 3. Sort r, 7, c in ascending order. c, r, 7 Let u = 0 + 1. Suppose -5*s - 205 = 2*q + 147, -3*s + 570 = -3*q. Let n = -182 - q. Put n, 2, u, -3 in descending order. n, 2, u, -3 Suppose 4*v = -64 + 104. Suppose 5*w + 2*m + 21 = 0, 0 = -4*w + 12*m - v*m - 6. Put 3, w, 7 in descending order. 7, 3, w Suppose 4*j = -4*n - 12 - 8, 2*j - 5*n - 25 = 0. Let z(q) = -q**3 - 6*q - 35 + 39 + 4*q. Let w be z(j). Sort 3, w, 0 in descending order. w, 3, 0 Let f = -168.8 + 168.3. Put 5, 1/7, -3/2, -1.39, f in decreasing order. 5, 1/7, f, -1.39, -3/2 Let h = -5 + 7. Let n = -45 + 40. Suppose 0 = 40*z - 91*z + 255. Put n, -3, h, z in descending order. z, h, -3, n Let u be (12 + (-847)/66)/(2/(-12)). Suppose 35 = -a - u*q, 9*a - 5*a - 5*q = -15. Sort a, 3, -9. a, -9, 3 Let r = -16165 + 16170. Sort r, 2, 5089, 4 in descending order. 5089, r, 4, 2 Suppose -z = p + 2, z - 686 = 2*p - 688. Put p, 3, -146, -5, -1 in increasing order. -146, -5, -1, p, 3 Suppose -4*s + 11 - 3 = 0, 5*l - 35 = -5*s. Suppose l*n = -69 + 94. Sort 1, n, -13 in decreasing order. n, 1, -13 Let k = -997/14 + 502/7. Sort 5, k, -2/13, 35/8 in descending order. 5, 35/8, k, -2/13 Let w(n) = -n**2 - 13*n + 2. Let z be w(-13). Suppose 0 = -5*v - z*r + 10, 4*v + 0*r = -4*r + 8. Suppose -36 = 11*s - 20*s. Put s, v, -5 in ascending order. -5, v, s Let v = 0.6 + 2.4. Let t = 38.65 + -38.75. Put 60, t, v in decreasing order. 60, v, t Suppose 128 = -10*p + 148. Put p, -1, 252, -3 in descending order. 252, p, -1, -3 Let l be (-3 - (-16)/6)*-15. Let z be ((-4)/(-5))/(-7 - (-36)/5). Suppose 0 = z*m - w - 13, -5*w + 3*w = 2*m + 6. Sort l, m, 3 in decreasing order. l, 3, m Suppose -4*p - 3*x = 632, 9*x - 4*x = -2*p - 302. Let l = 2087/13 + p. Put -1, 4, -1/4, l in decreasing order. 4, -1/4, l, -1 Suppose -17*m + 17 = -35 + 1. Put -8, m, 1, 4, 0 in ascending order. -8, 0, 1, m, 4 Let g = 6945.7 + -6946. Put -0.14, 1, 1/3, g in ascending order. g, -0.14, 1/3, 1 Let h = 0.2175 + 0.1825. Put -4, h, -1/6, -139 in increasing order. -139, -4, -1/6, h Let s be 1/((-1)/7) + 5. Let i be s/7 + 0 + 234/(-63). Sort 5, 0, 1, i. i, 0, 1, 5 Let h = 16095.33 + -16116. Sort h, -4, -3. h, -4, -3 Let l = -0.08729 + 3.08729. Sort l, 1/69, -9 in increasing order. -9, 1/69, l Let p be 25 - 308/11 - -3. Let q = -6 - -8. Sort 3, -1, p, q in ascending order. -1, p, q, 3 Suppose 0 = u + 3*u + p - 10, -4*u + p = -6. Let n = 4708 + -4719. Sort n, u, 1. n, 1, u Let l = -4904 + 4905. Sort 2, 0, 5, -5, l in increasing order. -5, 0, l, 2, 5 Suppose 2*u + 24*u + 19890 = 0. Let c be 90/u - (-1)/(17/53). Let k(g) = g**2 - g. Let n be k(1). Sort n, 8, c in decreasing order. 8, c, n Suppose -7 = -2*y - 5*o, -o + 24 = -3*y + 3*o. Let l be 1*3 - (9 + -6). Suppose l = -7*k + 2*k. Put 2, -1, y, k in descending order. 2, k, -1, y Suppose -5*k + 28 = 3*c, c + 66 = -5*k + 92. Sort -35, -5, c, -1 in ascending order. -35, -5, -1, c Let v = -2.3 - -2. Let z = -28258 + 28258.2. Put -8, 4, z, v in increasing order. -8, v, z, 4 Let f = 18 - 13. Let g = -8 + f. Suppose -2*i - 4 = -6*z, -3*i + 29 = z + 35. Put -4, 5, g, i in ascending order. -4, g, i, 5 Let x = -3646 + 3646.1. Sort x, -7, 92 in increasing order. -7, x, 92 Let u = 304 + -302. Suppose 2*f = 5*y - 27, f - 24 = u*y - 7*y. Put 4, -6, f in increasing order. -6, f, 4 Let u = 61 - 54.16. Let h = 4.84 - u. Sort h, -39, -0.2 in descending order. -0.2, h, -39 Let q = -7 + 1. Let w = 310490.8 - 310491. Sort w, 6, q, 0.4. q, w, 0.4, 6 Let c = -8614 + 8616. Sort -5, -4, c, 4. -5, -4, c, 4 Let p(r) = -r**3 - 16*r**2 - 14*r + 12. Let l be p(-15). Let i(k) = k**3 + k**2 - 8*k. Let s be i(l). Suppose s*x = 10*x - 32. Sort 2, x, 3 in descending order. x, 3, 2 Let z = 0.02641 - 0.12641. Sort 23, z, 12, 0.3 in descending order. 23, 12, 0.3, z Let i be ((-2748)/14)/(-1*35/49). Let a = i - 274. Sort 1, a, -0.2, -2 in increasing order. -2, -0.2, a, 1 Let i = -2391 + 2469.48. Let x = -82 + i. Let m = x + -0.48. Put -0.5, -3/5, m in decreasing order. -0.5, -3/5, m Let v = 21647/9 + -2405. Let p = 0.4 - 4.4. Sort v, p, 3, -10. -10, p, v, 3 Let a(j) = j**3 - 8*j**2 + j - 9. Let q be a(8). Let z = -1 + 7. Suppose -z = -4*t + 6. Sort q, 0, t, -3 in descending order. t, 0, q, -3 Let w(l) = -5*l - 2. Let z be w(-9). Let s = z - 57. Let o = 10 - 10. Sort s, 5, o. s, o, 5 Let y(v) = -2*v + 113. Let i be y(50). Suppose 0 = 2*r + 5*j + 32, -r - 12 = 5*j + 14. Sort 5, i, r. r, 5, i Let i(k) be the second derivative of k**3 - 9*k**2 + 5*k. Let h(o) = 11*o - 37. Let b(g) = -4*h(g) + 7*i(g). Let q be b(10). Put -3, 1, q in decreasing order. q, 1, -3 Let l(a) = a**2 - 7*a - 34. Let y be l(-6). Suppose 6*d + y = 62. Sort d, 4, 1/3, 4/3. 1/3, 4/3, d, 4 Let q = -29 - -31. Suppose -b = g - 13, 2*b + q*b - g = 27. Suppose 2*r - b*r = -18. Sort r, -5, 1 in increasing order. -5, 1, r Let j be 168/(-144) - 20/24. Sort -12, 5, 15, j in decreasing order. 15, 5, j, -12 Let h(p) = -p**3 + 10*p**2 - 24*p + 16. Let m be h(7). Let k = -2 - m. Sort 0, 5/3, 4, k in ascending order. 0, 5/3, k, 4 Suppose -22 = 3*b - 13, -6*a + 15 = -5*b. Sort 5, 2, a, 71, -5 in descending order. 71, 5, 2, a, -5 Let j = -3/8938 + -8929/26814. Sort -5, 4/9, j, 0, 22 in decreasing order. 22, 4/9, 0, j, -5 Let d = -193 - -189. Let w be 75/(-140)*-4 + d + 2. Sort w, 0.5, 4, -1/5. -1/5, w, 0.5, 4 Let o(u) = u**3 - 5*u**2 - 8*u + 9. Let h be o(6). Let f(q) = -5*q**2 + q**3 + 1 - 2*q - 6*q**2 + 10*q**2. Let r be f(2). Put r, 8, h in decreasing order. 8, r, h Let l = -41736 - -41738. Suppose 0 = 5*o + 3*u - u - 85, 2*o - 34 = -3*u. Sort o, l, -2, -3. -3, -2, l, o Suppose 5*r = -49 - 6. Let v(m) = -m**3 - 9*m**2 + 24*m + 25. Let z be v(r). Sort -4, 5, z, 4. -4, z, 4, 5 Let s be 4/26 + 300/78. Let w = 453 - 452. Put s, -5, w, 5 in decreasing order. 5, s, w, -5 Suppose -15 + 15 = 10*h. Suppose h = -4*g - 4. Sort 4, 0, g, 5 in ascending order. g, 0, 4, 5 Suppose 2*x = -x + 6. Let g be -5*((-4)/20 + -1). Let p be 1*(g - -5) - 6. Sort -1, x, p in descending order. p, x, -1 Let p = -13.4 + 13.6. Let c = -8/17 + 158/119. Sort c, p, -2/11 in increasing order. -2/11, p, c Let v(m) = -m**3 + 4*m**2 - 18*m + 273. Let d be v(7). Sort -3/4, d, -1, 0.4, 0.08 in descending order. 0.4, 0.08, d, -3/4, -1 Let g(j) = -478*j + 6253. Let x be g(13). Sort x, 3, 2, 4, -2 in ascending order. -2, 2, 3, 4, x Suppose 30*i + 15 = 43*i - 50. Sort 0.3, 0, -2/477, i. -2/477, 0, 0.3, i
Let d be 10/7 + 18/(-42). Solve 0*l = -l - d for l. -1 Let m = -17 - -18. Suppose 27 = 2*w - m. Suppose -5*z + w + 11 = 0. Solve -4*b = z - 1 for b. -1 Let y be (-2)/(-6)*3*(0 - -2). Suppose -y = 4*g + 3*k - 11, 2*k - 6 = -5*g. Solve g = 6*i - i for i. 0 Suppose 0 = q + 14 - 19. Suppose u - 4*u + 15 = q*k, 0 = 3*u. Solve k*p + 8 = p for p. -4 Let f = -18 + 71. Suppose -5*l + f = 8. Solve 5*s - 29 + l = 0 for s. 4 Let i = -1368 + 1392. Solve 5*r + 3*r = i for r. 3 Let i = 26 + -26. Let q be (-7 + 1)/(-3 + i). Let l be 0/(q - (-2 + 2)). Solve 4*h - 3*h + 4 = l for h. -4 Let x = 302 + -300. Suppose n - 42 = -4*k - 3, -k + n = -16. Let b = k - 8. Solve -3 - b = x*j for j. -3 Suppose k = 3 + 1. Suppose 0 = 3*w - k*g, 3*w - g = -2*g. Solve w*b + 3 = -b for b. -3 Let s be (3/(-2))/((-792)/256 + 3). Solve 4*a - 60 = s*a for a. -5 Let z(f) = -f**2 + 10*f - 18. Let d be z(4). Let y be 3 + (3 - (-21)/(-6))*d. Solve 0 = -2*c - 4 - y for c. -2 Suppose -2*u + 2*h - 8 = 3*u, -3*u - 5 = -h. Let g be (0 + -1)*(u + 0). Suppose g*o - 39 = -31. Solve -o + 16 = -4*f for f. -3 Let q(t) = -5*t - 26. Let o be q(-14). Let v = o + -41. Solve -v*f + 4 = 1 for f. 1 Let k = 5 - 6. Let w be 5/10*(-1 - k). Solve -m + 0 - 4 = w for m. -4 Let m be 12/9*(8 - (-30)/(-24)). Solve 0 = 6*b - m - 3 for b. 2 Let f be 60/8*(-144)/(-30). Solve 40*v + 4 = f*v for v. -1 Let b = 69 + -101. Let w be 3/(-2)*b/12. Solve w*n = n - 6 for n. -2 Suppose -9*j + 75 = -8*j. Let s = j - 75. Suppose 0 = -p, -4*p + 7*p + 3 = y. Solve -3*r + s = y for r. -1 Let k(m) = m - 6. Let f(b) = b**2 - 2*b - 9. Let i be f(5). Let g be k(i). Solve g = w - 2*w for w. 0 Suppose 160 = 4*m + k - 2*k, 4*k = 4*m - 160. Suppose 0*p = -5*p + m. Suppose 2*y = x - p, -3*x = x + 5*y + 7. Solve x*g - 5 = -3*g for g. 1 Suppose -24*k - 10*k + 918 = 0. Solve -3*n - 6*n + k = 0 for n. 3 Suppose 8*q = 160 + 72. Let n = 33 - q. Suppose 3*z - 3*v + 5*v - 3 = 0, -4*v = -4*z + 4. Solve z - n = -g for g. 3 Suppose -3*q + 48 = -111. Let l = -22 + q. Let h = 47 - l. Solve 4*a - 4 - h = 0 for a. 5 Let s be ((-3)/(-9))/((-2)/(-6)). Suppose 3*z + l - 7 = -0*z, z + l = s. Solve -15 = -z*k + 6*k for k. -5 Suppose -v = 4*w + 4, 3*v + 3*w - w - 8 = 0. Let k(h) = h**2 - 3*h - 1. Let u be k(v). Let q be 92/6 + (-4)/(-6). Solve u*p = -p + q for p. 4 Let m be (0/(-37))/(5 + -1). Solve 13*o + 1 - 1 = m for o. 0 Suppose 7*u - 11 - 24 = 0. Solve -4*k = k - u for k. 1 Let q(g) = g**3 + 13*g**2 + 12*g + 11. Let j be q(-11). Let d be 2/11 - 22/j. Solve d = -u - u - 6 for u. -3 Let w be 7 - (1 - (4 - 5)). Suppose -2*f + 18 + 10 = 3*b, 0 = 3*b + w*f - 25. Solve -b = -3*j + j for j. 5 Suppose 2*j + 30 = 40. Solve 4*s + 5 = j*s for s. 5 Let w = -387 + 387. Solve 0 = -w*o - 2*o + 2 for o. 1 Suppose -s - 27 = -2*i, -i + 33 - 6 = -5*s. Suppose -3*d + i = 6. Solve -4*a = 10 - d for a. -2 Suppose -4*k + 7*k = 30. Suppose k = -2*q - 4*h, 3*h = -5*q + q. Solve 7*m + 8 = q*m for m. -2 Suppose 5*k = -3*p + 2, -k - 2 = -4*k - p. Solve -2*d + k = -d for d. 1 Suppose 0 = i + 4*u - 25, 2*u - 19 + 78 = 5*i. Solve -9*f = -i*f for f. 0 Suppose 63 = 4*w - 1. Suppose 4*j + w = -4*b + 6*b, 5*b + 2*j - 16 = 0. Solve -b*o - 7 = 1 for o. -2 Let w be (-2)/4*0*1. Let n be (1 - w) + (-26)/(-1). Suppose -24*o - 9 = -n*o. Solve 8*k = o*k + 15 for k. 3 Let v be 10/(20/9)*2. Solve v*b = 17*b + 16 for b. -2 Suppose -7*n = -2*d - 5*n, 12 = 3*n. Solve 4*b - 6*b = -d*b for b. 0 Suppose 0 = 3*h - 19 + 16. Solve -1 - h = -2*d for d. 1 Let r(x) = 2*x**3 + x**2 - 6*x + 5. Let s be r(1). Solve a - 1 + s = 0 for a. -1 Let d(g) = -g**2 - 47*g - 170. Let u be d(-43). Solve 3 + 7 = -u*b for b. -5 Let y(u) = u. Suppose -5*c + 2*m = 4 - 125, 3*c - 73 = m. Let p be (10/c)/(2/10). Let i be y(p). Solve -i*d = 3*d for d. 0 Let w = -645 - -653. Solve -3*u = -u - w for u. 4 Let d be (-8)/28 - 16/(-7). Suppose p - d = 3. Suppose -2 + p = b. Solve b*v = -v - 12 for v. -3 Suppose -25*n + 35*n = 190. Solve -n*z + 8*z = 11 for z. -1 Suppose 6*m - h = m + 19, 3*m = 2*h + 10. Solve -9*o + 11*o + m = 0 for o. -2 Let c = 88 + -65. Solve 0 = -4*m - 7 + c for m. 4 Let p = -58 - -54. Let w be 2*(-4 + 3) - p. Solve w*o + 16 = -2*o for o. -4 Let k = -45 - -54. Suppose -3*h + 1 = 2*z - k, z + 6 = 4*h. Solve 0 = 2*t + z*t + 8 for t. -2 Suppose 0 = -0*z - z + 2. Suppose 0 = 5*m - 0*g + 4*g - 56, -m + z*g = -14. Solve m - 2 = -2*y for y. -5 Let s(x) be the first derivative of -5*x**2/2 - 29*x + 16. Let o be s(-6). Solve -i + 2 = -o for i. 3 Let p be (-9)/(30/(-21) - -1). Solve -4*w + p = 5 for w. 4 Suppose 8*b - 7*b = 0. Suppose -5 = -5*n - b*n. Suppose -4*m + 4*h = -n + 9, -5*h + 25 = 0. Solve -4*d = m + 17 for d. -5 Suppose 4*f - 73 = p - 0*p, 3*p = 4*f - 75. Suppose -2*x = -20 + f. Solve x = -2*o + 5 for o. 2 Let h(z) = 3*z**3 - 3*z**2 + 3*z - 1. Let g be h(1). Suppose 0 = -g*n + 17 - 13. Solve 2*t + 20 = -n*t for t. -5 Let y be -5 + 5 + (0/(-2))/(-1). Let c be (-50)/(-20) + (2/4 - y). Solve -c*i = -8*i - 10 for i. -2 Suppose -33 = s - 5*n - 4, s + 3*n - 11 = 0. Let g be (-2)/s*(9 - (-20)/(-4)). Solve -5*p + g = -4*p for p. 2 Let r be 134/14 + (-4)/7. Let z(p) = p**2 + 5*p**2 - 3 - 2*p - r*p**2 - p**3. Let u be z(-3). Solve 0*b + 3 = u*b for b. 1 Suppose 3*s - 3 = s + h, -2*h = -s + 6. Solve -5*b + 0 + 5 = s for b. 1 Let z be 0 + -6 - (5 + -16). Solve 0 = -3*l + 4 + z for l. 3 Let g = 98 - 27. Let i = -69 + g. Solve -i*z - 2*z - 12 = 0 for z. -3 Suppose -8 = -4*i - 4*t + 8, 3*i + 4*t = 13. Solve i*b = -7 + 1 for b. -2 Suppose -811 = -3*j - 772. Solve 0 = -3*v + j*v + 20 for v. -2 Suppose 4*j + 66 = 86. Solve 2*q - j*q = 0 for q. 0 Suppose 6 = 2*x - 0. Let y be (4/8)/(x/30). Solve 0 = -l - 0*l - y for l. -5 Let z(s) = s**3 + 4*s**2 - 4*s - 4. Let f be z(-4). Let h = 15 - f. Solve -3*l - h = -2*l for l. -3 Suppose 4*g = -3*x + 47, -2*g = x - 27 + 6. Solve -t + 4 = g for t. -4 Suppose 0 = 32*r - 2362 - 3878. Solve 6*g = -219 + r for g. -4 Suppose -119*p + 111*p + 24 = 0. Solve -p*v + 0 = -9 for v. 3 Let r(j) = -j - 42. Let a be r(-19). Let o = a - -26. Solve -o*f = -f for f. 0 Let h(d) = d + 2. Let g be h(-2). Let t(x) = x**3 + 5*x**2 - 12*x + 17. Let n be t(-7). Solve 9 = -n*f - g for f. -3 Suppose -3*m + 20 = -25. Let y be 1/6*2 + (-5)/m. Let g be 3/6 + (-3)/(-2). Solve -l - g*l + 3 = y for l. 1 Suppose -s + 0 = -1. Let w be 24/2*s/2. Let v be (w/(-9))/(6/(-27)). Solve v*p = -p for p. 0 Let q be (-30)/60*(-3 - -3). Solve -281*p + 284*p - 12 = q for p. 4 Suppose 0 = -2*m + m. Suppose m = -4*o - 4*l - 4, 3*o - 2 = -4*l - 9. Suppose 5*t - 2 = o. Solve -k = -0*k - t for k. 1 Let r be (-260)/50 + (-4)/5. Let y = 11 + r. Suppose u = m - 5, -3*m + 0 = -y*u - 15. Solve -4 = -n + m*n for n. -1 Let o = 11 - 3. Suppose 3*x - 21 = -3*v, 4*v - 36 = -x - o. Solve k + v = 2 for k. -5 Let h(g) = -g**3 - 3*g**2 - 16*g - 37. Let f be h(-3). Solve -2 = -f*j - 46 for j. -4 Let r = 85 + -82. Suppose r*s = -12 + 33. Solve -s*f = -2*f + 10 for f. -2 Let v be (-10)/(-6) + 852/639. Solve -v*p + 748 = 733 for p. 5 Let j be 2/((-2)/155*(-25)/5). Solve j*q = 33*q + 6 for q. -3 Let w(x) = -x**2 + 17*x + 1. Let j be w(0). Suppose -7*z = -10*z + 6. Solve -j + z = p for p. 1 Let a(s) = 5*s - 6. Let q be a(14). Let c = 76 - q. Solve 4*y = -8 - c for y. -5 Let t(x) = -x**3 - 5*x - 6. Let o be t(-1). Solve o = -10*g + 9*g for g. 0 Suppose -3*q - 113 = 5*d, 5*q + 156 - 5 = d. Let p = q + 31. Solve -4 = y - p*y for y. -4 Let z be 4/(-12)*6/(-1). Let y be (z - (3 + -1))/((-8)/(-4)). Solve y = -s + 5*s - 16 for s. 4 Suppose -16*k + 2*r + 8 = -21*k, -4*r = -2*k + 16. Solve k = -2*o + 18*o + 80 for o. -5 Let s(w) = -48*w + 50. Let i be s(1). Solve 0 = 3*n - i*n + 2*n for n. 0 Let r = 232 + -224. Solve -9*f + r = -5*f for f. 2 Let q = 216 + -196. Solve 3*r + 2*r - q = 0 for r. 4 Let k(f) = -f**3 - 13*f**2 + 11*f - 24. Let y be k(-14). Suppose -5*h + m = -y, -2*m + 10 = 5*h - 7*m. Solve h*a = -1 - 15 for a. -4 Suppose -3*a = 2*a - 5*k, 4*a = k. Solve a = q + 33 - 32 for q. -1 Suppose 0 = -26*t + 30*t - 68. Suppose -20*p = -t*p - 6. Solve 0 = -h + p + 2 for h. 4 Suppose 6*k - 86 = -4*s + 4*k, 4*s + 3*k = 83. Let q = -15 + s. Solve -5*b + q - 3 = 0 for b. 1 Suppose -67 = -7*b + 269. Let a = -46 + b. Solve 6 - a = -4*l for l. -1 Suppose -25*z + 101 = -74. Solve 4*j - 6 = z*j for j. -2 Let u = -280 + 280. Solve -4*c - 7 - 13 = u for c. -5 Suppose -5*r = -19 - 1. Suppose 2 = r*b + 2*s, 0*s + 13 = -b - 5*s. Suppose 3*h - 8 - 1 = 0. Solve -b*o = h*o for o. 0
Simplify (((x**(2/31)*x)/x)/(x*x**(6/19)))/(x**(-2/19))**10 assuming x is positive. x**(-117/589) Simplify ((q/(q**(3/8)*q)*q*q*((q*q*q**(4/5)/q)/q)/q)**(4/21))**(-30/11) assuming q is positive. q**(-57/77) Simplify (k*k**(-2/29)*k*k**(-2/47))/(k*k**3)**(-18) assuming k is positive. k**(100710/1363) Simplify (m/((m*m*m*m**(1/2))/m))**(4/3)*((m**(-17)/m)/m)/(m/(m*m**(-28)*m)) assuming m is positive. m**(-48) Simplify (q/(q*q*q*q**5*q*q)*q)**(19/5)*(q**11)**(-43) assuming q is positive. q**(-2517/5) Simplify ((m*m/(m*m**33/m))/m*m)/m**23*m*m**(-13)*m*m*m**17 assuming m is positive. m**(-47) Simplify (((o*o*o**(-1/3)*o)/o*o**(4/7))**(-2/39))**(-2/39) assuming o is positive. o**(188/31941) Simplify ((z*z*z**(-2)*z*z*z*z/(z/(z*z**(-2/9)*z*z)))/(z**5*(z**(-4)*z)/z))**9 assuming z is positive. z**43 Simplify (p**(-1/2))**46*(p*p**(8/3)/p)/(p/(p*(p*p**16/p)/p)) assuming p is positive. p**(-16/3) Simplify (b/(b/(b/b**(2/3)))*b)**(2/17)/(b**4)**(1/2) assuming b is positive. b**(-94/51) Simplify (c/(c*c**(-1/2)))**43*c**(-2/25)/(c**(2/15)*c) assuming c is positive. c**(3043/150) Simplify x**(-2)/x**(-4)*(x/(x*x*x*x**(2/7)))**33 assuming x is positive. x**(-514/7) Simplify (k*k*k*k**1*k*k**7*k**(5/3)/(k*k/k**0))**(-13/3) assuming k is positive. k**(-455/9) Simplify (j**(-1/2))**(10/11)/((j**(2/3)*j)/j)**(-19/4) assuming j is positive. j**(179/66) Simplify y**2/y*y*(y*((y/(y/(y*y/(y/y**(2/29)))))/y)/y)/y*(y**(2/9)/y)/y**(-13) assuming y is positive. y**(3469/261) Simplify ((h/((h/((h*h**(3/4))/h))/h*h*h)*h**14)**(-23/5))**(-4) assuming h is positive. h**253 Simplify (v**(2/11))**(-21)/(v**(7/5))**(-1/65) assuming v is positive. v**(-13573/3575) Simplify ((i**(-11)/(((i*((((i/i**4)/i)/i)/i)/i*i)/i)/i))**(-9/13))**(-3/25) assuming i is positive. i**(-108/325) Simplify (a**(1/3))**(-49)/(a**(-11)*a)**(10/9) assuming a is positive. a**(-47/9) Simplify (a*a**(3/16)*a**(2/47))/(a**(10/3)/(a**16*a)) assuming a is positive. a**(33607/2256) Simplify (r/((r/(r/r**(-2/9))*r)/r))**(-1/19)*((r*r/(r/(r/r**(-1/3))))/r)**(34/7) assuming r is positive. r**(7675/1197) Simplify (l**(-2/27)/l)/(l/((l*l/(l*l/(l/l**5)*l*l))/l)*l*l*l)*(l**5)**30 assuming l is positive. l**(3724/27) Simplify w*((w**(-1)/w)/w)/w*w/w**(-11)*w*(w**14/w)**(-47) assuming w is positive. w**(-601) Simplify ((w/(((w*(w/w**(5/7))/w)/w)/w))**(-5))**1 assuming w is positive. w**(-95/7) Simplify (v**(1/3)/v**(-1/6))**(-1/17) assuming v is positive. v**(-1/34) Simplify (n**11)**16*n/((n**12/n)/n*n)*n*(n/(n*n*n*n/n**5*n))/n*n assuming n is positive. n**168 Simplify (x**(-3/11)/x**(-13))**(2/7) assuming x is positive. x**(40/11) Simplify (n/n**(-2/17))**(3/13)*((n**(-9/5)*n)/n)/n**(-16) assuming n is positive. n**(15976/1105) Simplify (((n**(-2/5)*n)**(-22))**(1/67))**(20/7) assuming n is positive. n**(-264/469) Simplify (((n*n*n/n**(-8))/n)/n)**(-2/5)/((n*n*n*n**(1/12))/n**(22/3)) assuming n is positive. n**(13/20) Simplify x**13*x**(11/3)*x/((x/x**(2/37))/x)*x**6 assuming x is positive. x**(2633/111) Simplify (g/((g**19/g*g)/g)*g)**(-41)*g**13*g*g/(g*(g*g**(-4)*g)/g) assuming g is positive. g**673 Simplify (k*k**(-2/9))**40*(k/(k**(2/3)*k))/k*k**(-1/7) assuming k is positive. k**(1846/63) Simplify ((q*q**18)/q)/(q/(q*q**13*q))*(q/q**17)/(q*q**(-1/3)*q) assuming q is positive. q**(43/3) Simplify (l**(-2/29)*l*l*l/(l**30/l*l)*l)**(-28/9) assuming l is positive. l**(2352/29) Simplify m/(m/m**(2/9))*m**(-1/41)*m**11/(m**(4/17)/m) assuming m is positive. m**(75041/6273) Simplify (l/(l/l**(11/2))*l*l*l/l**(-12))/(l*l/(((l*(l**(-3)*l)/l*l)/l*l*l)/l*l))**(-33) assuming l is positive. l**(173/2) Simplify q**0*q**10/q*q**(2/19)*q*q**(-9/4)*q assuming q is positive. q**(673/76) Simplify (k*k*k*k**(-3/8)*k)**29/((k*(k*k**(2/3))/k)/k**(-2/15)) assuming k is positive. k**(4133/40) Simplify ((q**(-1))**(-1/20)/(q**(-8)*q**(-6)))**(6/11) assuming q is positive. q**(843/110) Simplify ((w**(-1/5))**(1/26))**(-1/21) assuming w is positive. w**(1/2730) Simplify ((f**22*f)/f**(-6))**35 assuming f is positive. f**1015 Simplify (x**26*x**(-2/19)/x)**(-19) assuming x is positive. x**(-473) Simplify (z*(z*z/z**(7/5))/z*z**2*(z/(z/z**(-1/4)*z)*z*z)**11)**(-22) assuming z is positive. z**(-2387/10) Simplify (g**(-5))**(3/14)*(g/g**(2/5))**(-2/41) assuming g is positive. g**(-3159/2870) Simplify (((b*b**(1/3))**(-9/5))**9)**(1/39) assuming b is positive. b**(-36/65) Simplify (w**(2/5))**(20/9)*(w**(-1/8)*w)/(w**(1/8)*w) assuming w is positive. w**(23/36) Simplify c**(-1/18)/c*c*c*c*c**(1/25)*c*(c**4)**(1/35) assuming c is positive. c**(9761/3150) Simplify (x**3)**(-2/185)/(x**(-2/5)*x)**(-34) assuming x is positive. x**(3768/185) Simplify ((p*p**(-4/33))/(p/p**(23/3)*p))**(-39) assuming p is positive. p**(-2808/11) Simplify (y**(-2/21)/y)**(-5/11)/(y**(-29)/(y**(-10/9)*y)) assuming y is positive. y**(20365/693) Simplify (((q**15/q)**(-1/44))**2)**18 assuming q is positive. q**(-126/11) Simplify (v**(-1/3)/(v/(v**3/v)))/(v*v*v*v*v/v**(1/6)*v*v)**2 assuming v is positive. v**(-13) Simplify ((l/l**(-3)*l**(-2)/l*l)/(l/((l**(-2)*l)/l*l))**(43/4))**(7/5) assuming l is positive. l**(-273/10) Simplify (((p**(-4)/p)/p)/p)**(2/11)/((p**3/p)/p**(-5)) assuming p is positive. p**(-91/11) Simplify (((w**(-2/7))**(-7))**8)**(2/83) assuming w is positive. w**(32/83) Simplify ((k**(1/4))**46/(k**(3/5)*k*k/(k/k**(2/9))))**(-9/5) assuming k is positive. k**(-871/50) Simplify (b/(b**17*b*b)*b**(-6/7)*b)**(2/9) assuming b is positive. b**(-250/63) Simplify p**(2/27)/(p*p*p/((p/p**(-1))/p*p*p*p)*p)*p**(4/7)*(p**(-14)/p*p)/p*p assuming p is positive. p**(-2524/189) Simplify f**(-22)*(((f**8*f)/f)/f)/f*f/(f/f**0)*f/(f*f**(-13)*f) assuming f is positive. f**(-4) Simplify (b**(-33)/b**10)/(b*b**(-16)*b**(-4/17)) assuming b is positive. b**(-472/17) Simplify ((j*j**(-13))/j*j)/j**(-1)*j**(-4)*j*j/(j/j**6) assuming j is positive. j**(-8) Simplify (f*f**7*f*f**7)/(f/(f/(f*f/(f/(f*f*f**(1/10))*f)))*((f/(f/f**(-4/7))*f)/f)/f) assuming f is positive. f**(1083/70) Simplify j*j/(j/(j*j**(2/21)))*(j/(j**(-10)/j))/j*j*j**(2/19)*j*j*(j/(j**(-5/3)/j))/j*j*j assuming j is positive. j**(8326/399) Simplify (y*(y/y**(2/9))/y)**46*y/(y/(y**13*y)*y*y)*y**(-6) assuming y is positive. y**(376/9) Simplify (((x/((x/(x*x**(-2/3)))/x))**(18/7))**(11/9))**47 assuming x is positive. x**(4136/21) Simplify a/(a*a**20/a*a)*a*a/a**(9/8)*a*a**(3/2)*(a*a/a**7*a)/a assuming a is positive. a**(-173/8) Simplify i**(-1/8)/i*i*i**(2/3)*i**(6/7)/i**(-4/7) assuming i is positive. i**(331/168) Simplify ((j/j**(-1))/(j*j**(6/7)))/(j**(3/5)*(j/(j/j**(2/5))*j)/j) assuming j is positive. j**(-6/7) Simplify ((y**(-8)*y*y)/y)/y**25*(y/(y/y**(18/5))*y)/(y*y/y**9*y) assuming y is positive. y**(-107/5) Simplify (y**9/y)/y**(-1/11)*(y/(y*y/(y/(y*y**(-2/5))))*y)/y*y**(-1/4) assuming y is positive. y**(1593/220) Simplify (p*p**(-2))**35*(p**(-1/5)*p*p)**(-5/7) assuming p is positive. p**(-254/7) Simplify c**0*c*c**(-1/7)*(c/((c**23*c)/c))/(c/(c**(2/19)*c*c*c)) assuming c is positive. c**(-2532/133) Simplify ((k/k**(-1/40))**(-5/3))**(12/5) assuming k is positive. k**(-41/10) Simplify p**(-1/14)*p**(-3/20)*p*p/(p**(-3/10)/p)*p/(p**(-9)/p) assuming p is positive. p**(1971/140) Simplify ((u*((u*u**8*u*u)/u)/u*u**(-2/5)*u)/((u*u**(2/9))/u**(-1/2)))**(-19) assuming u is positive. u**(-15181/90) Simplify (s/s**3)**49*(s**5)**(42/11) assuming s is positive. s**(-868/11) Simplify ((b/((b**(5/6)/b*b*b)/b))/(b**(-4/5)/b))/(b**(-1/3))**13 assuming b is positive. b**(63/10) Simplify (d*d**(-10)*d)**(-16)*d/(d**(-2)/d)*d**6 assuming d is positive. d**138 Simplify (f**(-7)*f*f**(2/57)/f*f)**18 assuming f is positive. f**(-2040/19) Simplify (((n**(-8))**(-1))**(-12))**(-15) assuming n is positive. n**1440 Simplify ((((a/a**(-6/11))/a)/a)/(a**(2/17)*a*a))/(((a**(-17)*a)/a*a)/a*a*a**(-10)) assuming a is positive. a**(4381/187) Simplify (((g/((g/g**(3/4)*g)/g))/(g*g*g**(-4/9)*g))**(-21/4))**(12/13) assuming g is positive. g**(35/4) Simplify (y**(8/5)*y**(-6/7))/((((y/y**17*y)/y)/y)/y**(-5)) assuming y is positive. y**(446/35) Simplify (q**4/(((q*q*q*q**12)/q)/q))**(-37) assuming q is positive. q**333 Simplify (((h**(4/5))**(-25))**(-1/3))**29 assuming h is positive. h**(580/3) Simplify (s*s*s*s**3/s*s)**(-9/2)*(s*(s**15/s)/s*s*s)/(s*s**(1/8)) assuming s is positive. s**(-97/8) Simplify (s**(-1/9)/s**(2/37)*s**(2/5)/s**(-2/5))**(-15) assuming s is positive. s**(-1057/111) Simplify (o**(2/11)*o)**(-1/4)/((((o**(-23)/o)/o)/o*o)/o**(-23)) assuming o is positive. o**(75/44)
Let s = 5829 - 5825.889. Let t = s - 2.85. Let i = t - -0.055. What is i rounded to 2 decimal places? 0.32 Let l = 755 + 4764. Let v = l + -5519.000005618. What is v rounded to 7 decimal places? -0.0000056 Suppose 153 = n + 3*f, 3*n - 174 - 297 = 3*f. Suppose 4*m - n = -112. Suppose m*q = 15*q - 1268. Round q to the nearest 10. 320 Let u = 20316.7 + -21376. What is u rounded to the nearest ten? -1060 Let y = 23.16105 - 23.1. What is y rounded to 2 dps? 0.06 Suppose -3*t - 1 = -g, -6*g + 3*g - 5*t - 25 = 0. Let z be 32000*(-5 - 5/g). What is z rounded to the nearest 10000? -130000 Let i be (0 - -2) + 2 - -2. Let l(n) be the third derivative of 1875*n**4/2 - 250*n**2. Let q be l(i). Round q to the nearest 10000. 140000 Let n(o) = -5*o**3 + 48*o**2 + 217*o - 40. Let l be n(-24). Round l to the nearest 1000. 92000 Let n be (-16)/(-200) + 977/(-25). Let h be (-52)/n + (-7676988)/(-9). Round h to the nearest ten thousand. 850000 Let l = -41.563968403 + 41.564. Round l to six dps. 0.000032 Let j = -206.7824 + 204.42. What is j rounded to the nearest integer? -2 Let u = -0.0878 + 0.1328. Let c = 84488.954939 - 84489. Let n = u + c. Round n to 5 dps. -0.00006 Let u = 172 + -48. Let g = u + -124.00214. Round g to three decimal places. -0.002 Let j be (-650)/(-10725) - 6197398/(-33). What is j rounded to the nearest 100000? 200000 Let r be -100354 - -1 - 2/(1/1). Let m = r + 144755. Round m to the nearest 10000. 40000 Let i = -2124.999998936 - -2125. Round i to 5 decimal places. 0 Let p = -307.57 + 306. Let s = -1.56999892 - p. Round s to seven dps. 0.0000011 Let r(x) = 371*x**2 + 44*x - 74. Let b(o) = -371*o**2 - 41*o + 73. Let g(s) = -6*b(s) - 7*r(s). Let h be g(40). Round h to the nearest one hundred thousand. -600000 Let r = 98.55991861 - 98.56. What is r rounded to five dps? -0.00008 Let i be (1920948 - (-1)/1)/(4/8). Let x = i + -2246898. What is x rounded to the nearest one hundred thousand? 1600000 Let i be (-1 - -3*28/6) + -2. Suppose -i*c + 22273 - 4464 = 0. Round c to the nearest one hundred. 1600 Let c = 64165 - 42016. Round c to the nearest one hundred. 22100 Let g = 1117201 - 700101. Round g to the nearest ten thousand. 420000 Let p = 390.9563 - 390.8. Let c = 1.9553 - p. Let t = 1.72 - c. Round t to two dps. -0.08 Let a = 0.259576 - 0.28389. What is a rounded to 4 decimal places? -0.0243 Let b(z) be the third derivative of 187957*z**4/12 + 18*z**3 + 46*z**2. Let j be b(-22). What is j rounded to the nearest 1000000? -8000000 Let q be (0 - 3/6)/(1/(-18)). Let y(v) = -v**3 + 8*v**2 + 7*v + 9. Let a be y(q). Let g = 109 + a. What is g rounded to the nearest one thousand? 0 Let f = 1307.217362 - 1649.2174006. Let r = 342 + f. Round r to six dps. -0.000039 Let o = 0.033762 + -0.489622. Round o to one dp. -0.5 Let j = -257 - -262. Let o(p) = 42159*p**3 - 3*p + p**2 + 6 + 9 + 4*p**2. Let w be o(j). What is w rounded to the nearest 1000000? 5000000 Let h = 1801477.9809 + -1801389. Let j = -21 - 68. Let o = h + j. What is o rounded to two decimal places? -0.02 Let h = 4788305 - 3337805. Round h to the nearest one hundred thousand. 1500000 Let h = -2.8 + 56.8. Let u = 35 - h. Let n = u + 24.5. What is n rounded to the nearest integer? 6 Suppose 35*w = 31*w + 29078200. Suppose w = 52*y - 5512050. What is y rounded to the nearest 100000? 200000 Let m = 878.2 + -882.886. Round m to 1 decimal place. -4.7 Let d = 3800 - 3796.047. Let b = -0.047 - d. Let u = b + 4.00000013. What is u rounded to 7 dps? 0.0000001 Let t = 37 - 29.8. Let d = 12.9 - t. Let n = d - 5.700125. What is n rounded to five dps? -0.00013 Let d = 475 + -475.0579. Let h = d + 0.056728. Round h to four dps. -0.0012 Let w = 165.0226 + -0.0226. Let j = w - 165.571. Round j to 1 decimal place. -0.6 Let u = -0.01406 + 0.01224942. What is u rounded to 5 dps? -0.00181 Let o = 11537495638.99997813 + -11537492824. Let v = o - 2815. Round v to six decimal places. -0.000022 Let y = 232.2889 - 232.5. Let w = y + 0.053. What is w rounded to two decimal places? -0.16 Let z = -556054123.027746 - -1121.027746. Let b = z - -556052834.00000332. Let q = -168 - b. What is q rounded to seven dps? -0.0000033 Let k = 22108.2 + -22498. Round k to the nearest 10. -390 Let k be 7/(-1)*(0 + -178005)*21. Suppose 29012893 + k = 4*o. Suppose -o = -3*v - 3684907. What is v rounded to the nearest one hundred thousand? 3400000 Let o = 18.519885432 + -18.52. What is o rounded to 6 dps? -0.000115 Let n = 3285143 + -3284839.9602. Let p = n - 303. Round p to 2 dps. 0.04 Let t = 1.4954 + 1.6456. What is t rounded to 1 dp? 3.1 Let y = -6.4074 - -0.0074. Let i = y + 5.57. Round i to 1 decimal place. -0.8 Let b = 243198.9 + -253508. What is b rounded to the nearest one thousand? -10000 Let f = -686 + 1064. Let y = -378.586 + f. Let j = y - -1. Round j to two decimal places. 0.41 Let p = 1632.2 - -159.8. Let w = p - 855. Let c = 943.07 - w. What is c rounded to zero decimal places? 6 Let n be 2 + (-6582)/14 + (-12)/(-84). Let a be 19240/n + 1/9. Round a to the nearest one hundred. 0 Let t = -183 - 485. Let q = t - -667.99609. Round q to three decimal places. -0.004 Suppose -24 = -14*i + 18. Let b be i*(2 + 1281/9). What is b rounded to the nearest 10? 430 Let v = -3953854 + 6013571. Suppose f + 559707 = v. Let s be f - 12 - (0 + -2). What is s rounded to the nearest 1000000? 2000000 Let q = -2676 + 2688.797. Round q to one dp. 12.8 Let x = -6.4 + 21. Let t = -14.6019 + x. What is t rounded to four dps? -0.0019 Let y(p) = -59445*p - 120. Let j(c) = 24*c - 304. Let z be j(12). Let m be y(z). Round m to the nearest 10000. 950000 Suppose 18 = 4*p + 2*v, 5*v - 33 = -p - 6. Suppose -p*g - 1788 = -5*g. Suppose -260 = 2*x - 2*f, 74 = -5*x + f - g. What is x rounded to the nearest ten? -140 Let v = 1193 + -1510.5. Let r = -258.54 - v. What is r rounded to 0 dps? 59 Let c = -0.21521 - -0.214185. What is c rounded to five decimal places? -0.00103 Let f = -765 - -767.1272. Let m = f + -0.0172. Let c = -8.25 - m. Round c to the nearest integer. -10 Let b = 19509 + -19508.999951046. Round b to five dps. 0.00005 Let s = -122.6 - 36.4. Let r = 158.9999 + s. Round r to four dps. -0.0001 Let a = -13807 + 13807.00006783. What is a rounded to six dps? 0.000068 Let z = 90028 - 85365.7. Round z to the nearest ten. 4660 Let b = -30341.837 - -30376. What is b rounded to the nearest 10? 30 Let g(d) = d**2 + 9*d - 45. Let s be g(5). Let y be -1500000*(170/s - 2). What is y rounded to the nearest one million? -7000000 Suppose 3*l + 9 = 0, -6*i = -9*i + 2*l + 12. Suppose 2*o - 3*s = -i*o + 18686, 5*o - 23348 = -s. Round o to the nearest one hundred. 4700 Let s = 1.35 - 336.35. Let b = s + 219. Let w = b - -115.929. What is w rounded to 1 decimal place? -0.1 Suppose -95621 = -2*x - 3*w, -4*x + 3*w = -151303 - 39894. Suppose -x = -5*a + 80197. Round a to the nearest one thousand. 26000 Suppose -28072285 = -5*d - 58*a + 53*a, 0 = 2*a + 8. Let q = d + 8625539. What is q rounded to the nearest 100000? 14200000 Let n = -532 + 782. Let m be (-10 - -2)*-12250*1*n. Round m to the nearest one million. 25000000 Let f be (-97 + -3)/4*(240486 - 6)/(-8). Round f to the nearest 10000. 750000 Let u(l) = l**3 - 14*l**2 - 5. Let m be u(14). Let t be m - 35/14*-5654. Round t to the nearest one thousand. 14000 Let b be (1 - 0)/(5/(-45)). Let d be 3*17/b*-3. Suppose -19*s + d*s - 2140 = 0. Round s to the nearest 100. -1100 Let n = -31 + 33. Suppose t + 637297 = -q - 0*t, n*q - 3*t = -1274589. Let y = q - 442704. Round y to the nearest one hundred thousand. -1100000 Let k = -804 - -804.015035. Round k to 3 decimal places. 0.015 Let n = 82764039 + -31534039. Round n to the nearest one million. 51000000 Let k = 2249.991 + -2252. Let u = -1.77117 - k. Let h = u + -0.234. What is h rounded to 4 dps? 0.0038 Let f = -24368 + 24366.7387. What is f rounded to one dp? -1.3 Let v = 52973.080066 - 52973. Round v to 3 dps. 0.08 Let f = 2168466771.00000968 - 2168467096. Let b = -325 - f. Round b to six dps. -0.00001 Let h = 251667764.6357 + -251645608. Let r = h + -22152. Let x = r - 4.6. What is x rounded to 3 decimal places? 0.036 Let o = 194.37384 - 194.3. What is o rounded to three dps? 0.074 Let x = 7.8 + -42. Let i = 38 + x. Let o = 3.7984 - i. Round o to 3 dps. -0.002 Let b = 131.75 - 132. Let r = b + -13.55. What is r rounded to the nearest integer? -14 Let o be (-6)/(24/(-6399980))*2. Suppose -2*t - 5*h = -o, 2*t - 1600006 = t + 3*h. Round t to the nearest 1000000. 2000000
Let j = 82 - -2. List the prime factors of j. 2, 3, 7 Suppose 0 = -3*y + 12. Suppose -2*t = -y*n + 13 + 33, -5*t + 29 = 2*n. What are the prime factors of n? 2, 3 Suppose 3*p = 3*k - 969, -9*k + 1609 = -4*k - 2*p. What are the prime factors of k? 3, 107 Let m(c) = -c**2 + c + 3. Let p be m(0). List the prime factors of 3 - p/(9/(-21)). 2, 5 Let w(k) = -k**2 + 23*k - 5. What are the prime factors of w(10)? 5 Let p = 240 + -89. List the prime factors of p. 151 Let s = 8 + -5. Suppose -s*n = -4 - 11. List the prime factors of n. 5 Suppose 2*z = 4*o + z - 355, 2*z + 270 = 3*o. List the prime factors of o. 2, 11 Let m(u) be the second derivative of 0 + 1/2*u**2 + 2/3*u**4 + 1/20*u**5 + u**3 + 2*u. List the prime factors of m(-7). 2 Let o(y) = -y**3 + 7*y**2 - 3*y - 6. Let s be o(7). Let u = 3 - s. Suppose x - u = -x - t, -x = -4*t - 33. List the prime factors of x. 17 Suppose 0 = 2*b - 9 + 1. Let s(a) = -a**3 + 6*a**2 - a + 1. What are the prime factors of s(b)? 29 Let z = -13 + -18. Let w = -7 - z. What are the prime factors of w? 2, 3 Suppose t - 3*u + 4 = 1, 5*u - 5 = 0. Suppose -4*c + 56 = 5*x, t = 4*c + 2*x + x - 64. List the prime factors of c. 19 List the prime factors of -1 + 1 + (1 - -24). 5 Suppose -141 = -3*j + a + 122, 3*j = -4*a + 268. What are the prime factors of j? 2, 11 Let k be (-7)/(14/(-12)) + 1. Suppose 2*w = k + 3. Suppose -w + 25 = 4*a. What are the prime factors of a? 5 Suppose -3*b + 4*z - 28 = b, 0 = z - 3. List the prime factors of (-3)/(1 + b/3). 3 Let i(f) be the second derivative of 1/2*f**2 + 1/12*f**4 - f + 0 + 0*f**3. What are the prime factors of i(2)? 5 Let t = 3 + -3. Suppose t = -3*j - v + 31, 0*j = -2*j - 4*v + 14. List the prime factors of j. 11 Let i(u) = -u**3 + 9*u**2 - 8*u + 6. Suppose 2*g + 17 = 5. Let v = g + 14. List the prime factors of i(v). 2, 3 Suppose -2*s + 2*g + 330 + 128 = 0, 0 = 2*g + 4. Suppose s - 22 = 5*n. List the prime factors of n. 41 Suppose 3*h = -3*y + 48, 0*h = -2*h. What are the prime factors of y? 2 Let v = 4 + 2. List the prime factors of v. 2, 3 Let t(z) be the second derivative of -1/2*z**2 - 2*z + 1/6*z**3 + 1/12*z**4 + 0. What are the prime factors of t(-4)? 11 Suppose -5*x + 2*c = -17, 2 = 4*x - 4*c - 14. Suppose -5*h = 4*g + 26, -x*g - 20 = -g - h. List the prime factors of 6/g - (-64)/6. 2, 5 Let o = 1 - -1. Suppose 6*c + 46 = o*g + 2*c, 0 = 2*g - c - 31. List the prime factors of g. 13 Suppose 5*o + 100 = 315. What are the prime factors of o? 43 Suppose -5*u + 55 = -7*j + 3*j, -5*j - 50 = -5*u. Suppose 2*q - 6*c + 5*c - 6 = 0, -5*q + u = 5*c. What are the prime factors of q? 3 Let c = 28 + -10. List the prime factors of c. 2, 3 Suppose 0 = -t - 3, 0 = 4*m + t + t - 1286. Suppose -5*v + 83 = -5*x + m, -5*v = -4*x + 195. What are the prime factors of x? 3, 5 Suppose 5*w = -3*t + 347, 5*t + 165 + 83 = 4*w. List the prime factors of w. 67 Let c(f) = -f**3 - 12*f**2 + 11*f + 4. What are the prime factors of c(-13)? 2, 3, 5 Let z be (-254)/10 + (-4)/(-10). Let p be (-8)/24 - 272/(-6). Let v = p + z. List the prime factors of v. 2, 5 Suppose -7*v = -2*v - 10. Suppose -4 + v = -k. Suppose 2*d = -4*s, k*d - 12 = -2*d - 5*s. List the prime factors of d. 2 Suppose -3*g + 58 + 26 = 0. List the prime factors of g. 2, 7 Let h be -1 + 0 - -3*1. Suppose 9 = 2*b + 5*f, -h*b + 0*b + 3*f = 15. List the prime factors of (-3)/(b/5) + 0. 5 Let v = 4 - 4. Suppose v = 5*y - 20, -2*y + 18 = 4*c - 50. What are the prime factors of c? 3, 5 Suppose 0 = 4*p - 504 - 72. List the prime factors of p. 2, 3 Let d(u) = u**2 - 8*u + 4. Let r be d(9). Suppose t - 2 = r. List the prime factors of t. 3, 5 Let c(y) be the second derivative of y**5/20 + y**4/4 - y**3/2 - y**2 - 3*y. List the prime factors of c(-3). 7 Let p be -3 - (1 + 0)*1. Let r = p + 11. Suppose -2*a = -r*a + 85. What are the prime factors of a? 17 Let o(r) = 5 + 2 + 0 + r. Let y be o(-4). Suppose -y*b + 21 = 3*a, -4*b = b + 2*a - 50. What are the prime factors of b? 2, 3 Suppose 0*l + 2*d = l - 31, 5*l - 2*d = 123. Suppose -9 = p - 1. What are the prime factors of l/4 - (-6)/p? 5 Let i(f) be the first derivative of f**6/360 + f**5/40 - 7*f**4/24 + f**3/3 - 3. Let a(p) be the third derivative of i(p). What are the prime factors of a(-5)? 3 Let v = 57 + -39. What are the prime factors of v? 2, 3 Suppose 0 = 4*r + 4*x, -2*r - 2*x + 3*x + 15 = 0. Suppose 4*b - r*b + 20 = 0. List the prime factors of b. 2, 5 Suppose 7*l - 60 = 3*l. Suppose -3*g = -33 - l. List the prime factors of g. 2 Let r = -6 + 8. Suppose 12 = r*w - 8. What are the prime factors of w? 2, 5 Let v = -15 + 23. List the prime factors of v. 2 Let u = 17 + 2. Suppose 0 = v + 4 - u. List the prime factors of v. 3, 5 List the prime factors of 214/((-16)/(-6) - 36/54). 107 Suppose 4*t - 102 = 5*u + 111, 5*u = 2*t - 109. List the prime factors of t. 2, 13 Let a(x) = x**2 - 10*x + 1. Let k be a(7). List the prime factors of (-4)/(-5)*k/(-8). 2 Let a(n) = n + n - 5 + 2*n + 3*n**2. What are the prime factors of a(-4)? 3 Let u(w) be the third derivative of 0 - 1/8*w**4 + 0*w + 1/60*w**5 - w**2 + 5/6*w**3. What are the prime factors of u(4)? 3 What are the prime factors of (7 - 1)*110/15? 2, 11 Suppose -4*c + 5*b = 110, -33 = c - 0*c - 4*b. Let t = -9 - c. List the prime factors of t. 2 Suppose -3*h = -4*k + 8*k - 18, -4*h = k - 37. Suppose -3*q + 12 = 0, 3*m - q - h - 1 = 0. What are the prime factors of ((-4)/(-10))/(m/25)? 2 Let r(h) = -h**3 + 8*h**2 - 13*h + 7. List the prime factors of r(5). 17 Suppose 3*b - 6 = 2*b. Suppose -m = b + 1. List the prime factors of 2/m - (-16)/7. 2 Let k(a) = 9*a**2 - 1. Let i be k(2). Let g = -23 + i. List the prime factors of g. 2, 3 Let u be 1/(-4) + (-52)/(-16). Suppose -5*x + 22 = u*d, -3*d - 4*x = -0*d - 20. Suppose d*c - 26 = -2*p, 0*p - 25 = -4*c - p. List the prime factors of c. 2, 3 Let g = 13 + -14. What are the prime factors of 141/6 - g/2? 2, 3 Suppose -2*o + 6 = -4. Suppose 0 = j - 2*j - o. What are the prime factors of 34/10 - (-2)/j? 3 Let n = 2 - 6. Let f(u) = -2*u - 5. List the prime factors of f(n). 3 Let t = 76 - 26. List the prime factors of t. 2, 5 Let v = 2 + -2. Suppose 13 = d - v*d. What are the prime factors of d? 13 Suppose 760 = 12*o - 7*o. List the prime factors of o. 2, 19 Suppose -3*i + 34 = -8. Suppose t - i = -33. Let v = -10 - t. What are the prime factors of v? 3 Suppose c - 16 = -14. Suppose -5*u = -0*f - 2*f - 12, 5*u - 4*f = 4. Let y = u - c. List the prime factors of y. 2 Suppose -3*a + 5*a + 7 = -5*z, -5*a + 4*z = -32. Let v be (0 + 0)/(-1)*-1. Suppose a*r - 5*s = 6, 5*r - s - 18 = -v*s. List the prime factors of r. 2 Let g = 69 + 4. What are the prime factors of g? 73 Let f(y) = y**2 + 8*y + 1. Let u be f(-10). Suppose -w - 2*x + 13 = -u, 0 = w + 4*x - 38. What are the prime factors of w? 2, 3, 5 Suppose 5*d = -5*t + 1615, 9 = -0*d + 3*d. What are the prime factors of t? 2, 5 Let a(b) = -b + 12. List the prime factors of a(-7). 19 Suppose 4*b - 479 = -5*d + 2*d, 5*b - 4*d - 560 = 0. List the prime factors of b. 2, 29 Suppose -2*o + o - 3*y = -9, 0 = -5*y + 10. Let l be -2*(33/2 - o). Let k = -18 - l. List the prime factors of k. 3 Let b(i) = 46*i - 2. List the prime factors of b(1). 2, 11 Let j(u) = u**2 - 11*u + 11. Let l be j(10). Let w be 0/(l/(2 + -1)). Suppose 0*v - v + 13 = w. List the prime factors of v. 13 Suppose -k + 6*u + 17 = 4*u, 0 = -k + 5*u + 23. Suppose -4*h + 5*h = -3*x + 11, -x + k = 5*h. List the prime factors of h. 2 Suppose -14*f - 77 = -385. What are the prime factors of f? 2, 11 List the prime factors of -3 - (-64 + (-3)/(3/(-4))). 3, 19 Let m(t) = -t + 3. Let n be m(9). Let u = 8 + n. Suppose -2*r = 2*g + 3*g - 65, 0 = u*g - 2*r - 12. List the prime factors of g. 11 Suppose -2*m = -36 - 42. Suppose -2*t = t - m. What are the prime factors of t? 13 Suppose -3*a + 8*a = 75. Let m = 9 + a. What are the prime factors of m? 2, 3 Let z(t) = -t**2 - 11*t - 6. Let u be z(-10). Suppose b + 2*a - 31 = 22, u*a = 0. List the prime factors of b. 53 Let z = 107 - 31. List the prime factors of z. 2, 19 Let n(b) = -b**2 - 9*b + 5. Let w be n(-9). Let i = -5 + w. Suppose 5*u = 5*l + 10, i = u - 1 - 3. List the prime factors of l. 2 Suppose 4*c + 30 = v, -2*c - 5 = v - 17. Suppose 0 = -3*f + t + 16, 2*f + t - v = -4. Suppose -f*z = -5*z - 14. What are the prime factors of z? 2, 7 Suppose -7*k + 423 = -354. List the prime factors of k. 3, 37 What are the prime factors of 2/(-12) + 3243/18 - 3? 3, 59
What is prob of sequence eee when three letters picked without replacement from {e: 10}? 1 Two letters picked without replacement from wrrqrvqvvr. Give prob of sequence qw. 1/45 Two letters picked without replacement from {g: 4, i: 1, u: 1, l: 9, a: 3}. Give prob of sequence au. 1/102 Two letters picked without replacement from rjjrerfeegreegfey. What is prob of sequence ey? 3/136 Calculate prob of sequence fnf when three letters picked without replacement from fffffnnfnnnnnf. 7/52 What is prob of sequence axx when three letters picked without replacement from {a: 3, s: 13, x: 2}? 1/816 Three letters picked without replacement from {x: 5, o: 8}. What is prob of sequence xxx? 5/143 Two letters picked without replacement from {f: 2, g: 1}. Give prob of sequence fg. 1/3 Calculate prob of sequence jj when two letters picked without replacement from jjll. 1/6 Calculate prob of sequence ppqr when four letters picked without replacement from {q: 4, r: 2, p: 5}. 2/99 What is prob of sequence urru when four letters picked without replacement from uereureuuuueuuruure? 15/1292 Three letters picked without replacement from zzzzbzzbbbzzzzbz. Give prob of sequence zzb. 55/336 What is prob of sequence qt when two letters picked without replacement from ntitntkknssq? 1/44 Two letters picked without replacement from qjtqs. Give prob of sequence ts. 1/20 What is prob of sequence llll when four letters picked without replacement from lblllllblblllllbbbl? 715/3876 What is prob of sequence cc when two letters picked without replacement from {m: 1, l: 1, c: 6, a: 3, f: 3}? 15/91 Three letters picked without replacement from cadsydayyy. What is prob of sequence cys? 1/180 Three letters picked without replacement from {i: 1, l: 2, u: 5, f: 3, b: 1, t: 3}. What is prob of sequence btl? 1/455 What is prob of sequence iu when two letters picked without replacement from ggiguueiezeqiz? 3/91 Calculate prob of sequence qq when two letters picked without replacement from {w: 2, n: 2, m: 1, q: 8}. 14/39 What is prob of sequence wa when two letters picked without replacement from {j: 2, w: 1, k: 1, z: 1, r: 1, a: 1}? 1/42 Two letters picked without replacement from jjqqzzzeqk. Give prob of sequence qz. 1/10 Calculate prob of sequence ffw when three letters picked without replacement from {f: 11, w: 2}. 5/39 Four letters picked without replacement from aulauwulwllaaanl. What is prob of sequence alnw? 5/4368 Calculate prob of sequence fq when two letters picked without replacement from {f: 3, q: 5}. 15/56 Three letters picked without replacement from guyhlal. What is prob of sequence ulh? 1/105 What is prob of sequence yxwz when four letters picked without replacement from {y: 2, b: 2, z: 1, x: 1, g: 1, w: 1}? 1/840 Calculate prob of sequence mm when two letters picked without replacement from rjmjjmhjjjjrjrjjjrj. 1/171 Calculate prob of sequence oq when two letters picked without replacement from {z: 3, j: 1, q: 1, w: 1, o: 3, u: 2}. 3/110 Calculate prob of sequence pci when three letters picked without replacement from {p: 1, c: 5, i: 2, n: 2, g: 6}. 1/336 What is prob of sequence xxqx when four letters picked without replacement from xkxqx? 1/20 What is prob of sequence bx when two letters picked without replacement from {x: 1, g: 2, c: 4, b: 1}? 1/56 Calculate prob of sequence ogo when three letters picked without replacement from ooggoog. 6/35 Three letters picked without replacement from kgggkggggk. What is prob of sequence kgg? 7/40 What is prob of sequence ic when two letters picked without replacement from {c: 11, i: 2, p: 1}? 11/91 Two letters picked without replacement from ddcycbdddcbddddjy. What is prob of sequence by? 1/68 Two letters picked without replacement from {p: 1, x: 3, q: 5}. Give prob of sequence xq. 5/24 Two letters picked without replacement from smrrrjmmmvis. Give prob of sequence rs. 1/22 What is prob of sequence bnn when three letters picked without replacement from hqhqnbhqqhnbhhnhnhn? 20/2907 Calculate prob of sequence zxx when three letters picked without replacement from zzxzx. 1/10 What is prob of sequence srss when four letters picked without replacement from {s: 4, r: 14}? 7/1530 Four letters picked without replacement from {n: 2, p: 1, g: 5, r: 2, o: 4}. What is prob of sequence nrog? 10/3003 Calculate prob of sequence ca when two letters picked without replacement from cacac. 3/10 What is prob of sequence bmmb when four letters picked without replacement from {t: 3, s: 1, m: 4, z: 7, b: 4}? 1/646 Two letters picked without replacement from {z: 11, b: 5}. Give prob of sequence bz. 11/48 What is prob of sequence kka when three letters picked without replacement from bkxbqakx? 1/168 Four letters picked without replacement from dsedqdddeqddsds. Give prob of sequence ddqq. 2/585 What is prob of sequence lffl when four letters picked without replacement from rrfffrlrrrlrfrrr? 1/1820 Two letters picked without replacement from dtmmnmpmm. What is prob of sequence mm? 5/18 Calculate prob of sequence nnnu when four letters picked without replacement from {u: 2, v: 1, f: 1, n: 3}. 1/70 Three letters picked without replacement from {r: 1, s: 2, z: 2, k: 4, i: 1}. Give prob of sequence zir. 1/360 Three letters picked without replacement from {a: 1, s: 1, c: 1}. What is prob of sequence acs? 1/6 What is prob of sequence xhy when three letters picked without replacement from {f: 1, y: 3, w: 2, x: 1, h: 8, z: 5}? 1/285 Three letters picked without replacement from dlqlpdlplqqpfqlqqqd. What is prob of sequence qfq? 7/969 Two letters picked without replacement from nmtqmcm. Give prob of sequence tc. 1/42 Two letters picked without replacement from {c: 1, k: 2, r: 3, f: 1, t: 4, x: 1}. What is prob of sequence rx? 1/44 Calculate prob of sequence qi when two letters picked without replacement from {d: 3, u: 1, i: 1, x: 2, q: 4}. 2/55 Four letters picked without replacement from zzzuzuucuz. Give prob of sequence zuzc. 1/63 Four letters picked without replacement from {t: 3, d: 2, i: 5, n: 5, f: 4}. What is prob of sequence ffdi? 5/3876 What is prob of sequence ovo when three letters picked without replacement from {c: 1, u: 4, m: 2, v: 2, o: 3}? 1/110 Four letters picked without replacement from uslvusvussf. What is prob of sequence uvvu? 1/660 What is prob of sequence lq when two letters picked without replacement from kkkkkqklllkykqkkyy? 1/51 Two letters picked without replacement from lllkkupvyuull. Give prob of sequence yl. 5/156 What is prob of sequence muk when three letters picked without replacement from mku? 1/6 Two letters picked without replacement from fytttfffxttmtf. Give prob of sequence xt. 3/91 Four letters picked without replacement from {f: 11, z: 1, v: 1}. Give prob of sequence vvzv. 0 Two letters picked without replacement from {u: 1, f: 1, r: 3, j: 2}. What is prob of sequence ju? 1/21 Calculate prob of sequence ii when two letters picked without replacement from {i: 14, y: 4}. 91/153 What is prob of sequence ll when two letters picked without replacement from {r: 2, s: 4, l: 10}? 3/8 What is prob of sequence thu when three letters picked without replacement from {q: 1, u: 3, o: 2, h: 4, t: 1}? 2/165 What is prob of sequence ceed when four letters picked without replacement from eedrc? 1/60 Four letters picked without replacement from boftbfttabtwt. Give prob of sequence bfwa. 1/2860 Three letters picked without replacement from {u: 3, z: 3, d: 2, y: 2, b: 5}. Give prob of sequence uzz. 3/455 Calculate prob of sequence npz when three letters picked without replacement from zpznp. 1/15 Four letters picked without replacement from {f: 2, d: 1, z: 2, c: 9}. What is prob of sequence zfzd? 1/6006 Three letters picked without replacement from zffzfz. What is prob of sequence zzf? 3/20 Calculate prob of sequence iiz when three letters picked without replacement from xxxiixmizizzi. 5/143 Four letters picked without replacement from {b: 4, l: 1, c: 12, i: 3}. What is prob of sequence lbbb? 1/4845 Four letters picked without replacement from ncccgccgcccccgccn. Give prob of sequence gngc. 3/1190 Two letters picked without replacement from bgm. What is prob of sequence gb? 1/6 What is prob of sequence ovlo when four letters picked without replacement from {v: 1, l: 6, q: 4, o: 3}? 3/2002 Two letters picked without replacement from mmr. What is prob of sequence rm? 1/3 Four letters picked without replacement from zzjjggyyyygy. Give prob of sequence zjgg. 1/495
Suppose 5*d - 10*d = 5*o, 0 = d - 5*o - 12. Solve 3*r = d*g - 3*g + 4, 3*g + 3*r + 6 = 0 for g. -5 Let o(b) = b**2 + 6*b + 7. Let z be o(-5). Let r be (z/(-2))/(3/(-9)). Solve -g + r*j = 7*j + 3, 4*j - 12 = 4*g for g. -3 Let l(t) = 2*t**2 + 29*t - 10. Let j be l(-15). Solve -w + j = -5*u - 15, -2*u = -5*w + 31 for w. 5 Let h(k) = -k**3 - 5*k**2 + k + 8. Let u be h(-5). Let w = 12 + -3. Let x be 2 + 1 + -1 + 2. Solve -u*b = 2*z - 3*z + w, 0 = -3*b - x*z + 6 for b. -2 Let k be 40/(-16) + 2/(-4). Let o(w) = -2*w - 4. Let x be o(k). Solve -22 = -2*v - 4*u, 2*u = x + 6 for v. 3 Let g(l) = l**2 - l + 5. Let y be g(0). Solve y*p + 35 = -f - 4*f, -p = -3*f - 1 for p. -5 Let k be (-768)/(-168) - (6/(-7))/2. Solve 5*s - 3*g = 12, -5*s = -4*g - k - 6 for s. 3 Let s be (-2)/(-5) + (-64)/10. Let m = 9 + s. Solve -4*x - 4*o = 8, 5*x - m*x = 5*o - 18 for x. -4 Suppose 0*x + x - 1 = c, -13 = -2*c - x. Let d = c - 0. Solve -4*k + 4*r = -r, r + d = 0 for k. -5 Let g(i) = i**2 + 11*i - 13. Let j be 4*(0 - (-39)/(-12)). Let k be g(j). Solve -2*v + 5*u = -0*v - k, 2*u - 10 = -3*v for v. 4 Let b = -2 - -8. Let v = 6 - b. Suppose 5*u - 2*y - 3*y = v, u + 4*y = 10. Solve -3*q + q - u*p = -6, 2*q + p = 2 for q. -1 Suppose -6*s = -9 - 15. Suppose -s*l + 9*l = 0. Solve l = 4*d - 16, -4*y = -d + 2*d - 4 for y. 0 Let b = 8 + -6. Solve -9 = 3*l - 4*o + b*o, 3*o = -4*l - 29 for l. -5 Suppose -3*s = -25 + 10, 3*m = s - 5. Solve 4*l = -2*a - m*a - 2, 5*a + 10 = -5*l for a. -3 Let o(a) be the second derivative of a**3/6 - 2*a**2 - a. Let t be o(4). Let p(b) = b**2 + b + 5. Let i be p(t). Solve -4*x = l - 6, 0*x + i*x - 1 = 2*l for x. 1 Suppose -230 = -11*l + 67. Solve -5*q + l = -3*o, 6*q - 5*q - 4*o = 19 for q. 3 Let t = -33 + 38. Solve -5*d - 17 = 4*p, 0*d - t*p - 14 = -d for d. -1 Suppose 6*k - 3*k = 0. Let q(t) be the first derivative of t**3/3 + t**2/2 + 21*t + 1. Let p be q(k). Solve -p = -5*i - l, i - 9 + 1 = -4*l for i. 4 Suppose -4*x + 3*x + 3 = 0. Let v = x + 0. Suppose -16 = -c - v*t, -4*t + 28 = 2*c + c. Solve 2*n + 16 = -2*s, 5*n = -c*s - 0*s - 35 for n. -3 Let y(l) = -5*l**2 + 2 + l**2 + 0*l**3 - l**2 - l**3. Let o be y(-5). Suppose -3*w + 65 = o*w. Solve 0*h - 2*q = 3*h + w, -4*q = -5*h + 15 for h. -1 Let g be 4 + (5 - 5 - -8). Solve 4*b = -4*u + g, 2*b + 2*b + 3*u - 11 = 0 for b. 2 Let q be 72/(-45)*(-10)/4. Solve 3*s - x - 12 = 0, q*x - 1 + 28 = 5*s for s. 3 Let z(b) = b - 4. Let h be z(7). Suppose -3*r + t = 1 - 4, 2*r + h = -t. Solve r = -j - 2*o + 3, -5 = -j - 0*o - 4*o for j. 1 Suppose -5 - 10 = 5*d. Let x be (2 + d + 1)*1. Suppose -4*k + 11 - 3 = x. Solve h + 12 = -5*l + l, -4*h + 8 = k*l for l. -4 Let k = 40 + -36. Solve 5*u - g = -16 - 7, 2*u - k*g = -20 for u. -4 Let h(u) = -u**2 - 7*u + 2. Let l be (-8 - -1) + 1*-1. Let b be h(l). Let z = 2 - b. Solve -m + z = -3*c + 4*c, 2*c = 3*m - 4 for m. 4 Let o(h) = 5*h - 23. Let d be o(5). Solve 3*m - 9 + 0 = -d*n, 0 = n + 3*m - 6 for n. 3 Let u(l) = -2*l + 6. Let w be u(5). Let t be 2*(10/w + 3). Solve -3*n + t = -5*x, -4*x - 4*n + 12 = -0*x for x. 1 Let w = -16 + 12. Let i be 10 - (-1 + (-8)/w). Solve 3*o + 0*r - 2*r - 6 = 0, -i = -3*o + r for o. 4 Suppose -f + 0*f = 0. Suppose -5*x + s = -10, -3*x - 4*s - 17 = -f*x. Solve 5*g = 5*a + 45, 3*a = -a - 3*g - x for a. -4 Let y(k) = k**2 + 7*k + 3. Let f be y(-8). Solve -5*o + 2*b + 4 = -1, -b = 2*o - f for o. 3 Let h(n) = -2*n - 1. Let s be h(-2). Solve -s*z = -4*c + 5, 4 = -2*c + 3*z + 11 for c. -1 Let t = -4 - -32. Solve 5*j = 4*a - 36, -12 = 4*a - t for j. -4 Let o(w) = w**3 + 5. Let u be o(0). Suppose u*g - 4*g = -4*s + 15, 0 = s + g. Solve 3*t - 8 = 4*i - 0*i, i + 2 = s*t for t. 0 Let r(x) = 2*x**2 + 7*x - 3. Let i(z) = -5*z**2 - 21*z + 10. Let l(c) = -3*i(c) - 8*r(c). Let t be l(6). Solve t = 2*y, -2*d + 3*d + 5 = y for d. -5 Suppose -r + 3*i + 20 = 3*r, -3*r = -3*i - 15. Solve r*a = -0*a + 4*o, a - 3*o - 11 = 0 for a. -4 Let a be 0/((-3 + 0)*-1). Let k(m) = m**2 + 2*m - 1. Let g be k(-3). Solve -2*i - g*z = -i - 1, -2*i + 3*z - 12 = a for i. -3 Let w(o) = 2*o**2. Let a be w(1). Solve 4 = -a*v + g, -5*v - g - 3 = -7 for v. 0 Let v(i) be the third derivative of -i**4/24 - i**3/3 + i**2. Let x be v(-4). Solve -10 = 5*p, z + x*p - 4 = -z for z. 4 Let q(l) = l**3 - l**2 - l + 3. Let v be q(0). Let d = 27 + -1. Let x be (16/(-6))/((-9)/(108/8)). Solve -5*s = -x*w + 3*w + d, 4*s + v*w = -17 for s. -5 Let j(h) = h**3 - 8*h**2 - 9*h - 1. Let l be j(9). Let m be l + (-1)/(2 + -3). Solve 12 = g - 4*i, 16 = -3*g - i - m*i for g. -4 Suppose -5*o - t + 3*t = -40, -2*o = -3*t - 16. Suppose 0 = -0*g - g + o. Solve g = k + k - l, k = 4*l + 11 for k. 3 Suppose 21*o = 15*o + 12. Solve -5*u + 0*z + z = -13, 0 = -u - o*z - 4 for u. 2 Suppose v = -0*v + 2. Let y(i) = -5 + i + 2 - i**3 + 4 + 3*i**v. Let p be y(3). Solve -n - 15 = p*n - 3*m, 3 = -n - 5*m for n. -3 Let f be 410/14 - 4/14. Let y = f - 15. Solve 5*b + 16 = -3*d, -3*b + 4*d + y = -6*b for b. -2 Let f = -6 - -17. Suppose f = 3*b - 31. Let h = b - 7. Solve -5*i + 5*k - h + 2 = 0, 0 = 3*i - 2*k + 4 for i. -2 Let w(m) be the first derivative of 3*m**2/2 - 2*m - 1. Let r = 10 - 8. Let b be w(r). Solve 0 = -4*o + 2*l + 2*l - 36, 0 = -5*o + b*l - 41 for o. -5 Suppose 0 = 4*o - 234 + 38. Suppose 5*c = -3*q + o, 0*q = -3*q + 4*c + 85. Solve 0*a - a - q = 5*p, 5*p - a = -17 for p. -4 Let v(o) = -o - 2. Let a be v(-3). Solve -2*k + k + s = a, s = 2*k + 3 for k. -2 Let r = -3 + 5. Solve -5*c - 2*u = 30, -u - r*u = -c + 11 for c. -4 Let k be ((-6)/4)/((-6)/112). Let p = -45 + 49. Solve -2*a = -p*u + k, a - 4*a = 2*u + 2 for u. 5 Let x = 198 + -196. Solve -n - 5*r + 1 = -x*r, -3*n + 3*r = 21 for n. -5 Let o be ((-4)/(-10))/((-4)/(-10)). Let f(k) = 3*k**3 - k**2 - k + 1. Let t be f(o). Solve 0 = -q - 4*i - 13, 7 + 1 = -t*q - 2*i for q. -1 Suppose 5*z = -3*a + 61, -a = a - 3*z - 66. Solve 0 = x - 0*w - 5*w + 22, 0 = 4*x + 3*w - a for x. 3 Let q(j) = -2*j + 0*j**2 + 3*j**2 - 2*j**2 - 5. Let r be q(-5). Let s(c) = 2*c - 2. Let n be s(2). Solve 4*f - 21 = y, -3*f = n*f - 5*y - r for f. 5 Suppose -3*s - w - 2*w + 12 = 0, -1 = w. Solve 4*m = -5*d + 37, s*d - 12 = -3*m + 22 for d. 5 Let w be (1 + -1 - -2)/(-3 - -5). Solve 3*m - 2*m + w = 2*t, 0 = 3*t - m for t. -1 Suppose -2*c + 11 = -1. Suppose 2*h + c = 5*h. Solve -2 = 2*j - 2*v, 2*j - 4*v = -0*v - h for j. -1 Let l = 7 + -4. Solve 0 = c + 3*r, 0*c + l*c = 3*r for c. 0 Suppose -4*n + 66 - 2 = 0. Suppose 2*g - n = -5*y, -y - g + 4 = -1. Solve -y*r = 2*u + 3*u - 10, 3*r - 1 = -4*u for u. 4 Let s = -92 - -94. Solve -s*p + 7*p - 26 = 3*o, -12 = -p + 4*o for p. 4 Let f(z) = z**2 + 6*z - 7. Let v be f(-6). Let x = 9 + v. Solve x*g + 4 = -2, -13 = -2*p + g for p. 5 Let a(p) = -4 + 5 + 4*p - 3*p - 28*p**3 + 2*p**3. Let y be a(-1). Solve -u - x = 0, y = 3*u - 4*x + 5 for u. 3 Let j be 2/(-8) - 63/(-28). Solve j*a = 5*r + 19, a - 4*r - 17 = -0*a for a. -3 Let a = 28 + -23. Solve -a*h = -2*c - 11, 3*h + 9 = -c + 20 for c. 2 Let i be (-4)/(-1) + (-6)/3. Let l be (18/(-15))/(i/(-5)). Solve -3*c - p = -1, -6*c = -3*c + l*p + 3 for c. 1 Let j(w) be the second derivative of -w**4/12 + w**3/6 + w**2 - 2*w. Let m be (2/6)/(3/18). Let c be j(m). Solve 5*y + 4 - 6 = -3*i, c = -4*i - 3*y - 1 for i. -1 Let i = -14 - -18. Solve -4*l - 3*d = 19, 9 + 3 = -i*l + 4*d for l. -4 Suppose -22 + 2 = -5*j. Let w be (1 - 2)*(-33)/(-3). Let p = w + 37. Solve 0 = 4*l + j*a - 7 + 31, 5*l + a = -p for l. -5 Let l = 5 + -8. Let c(j) = j**3 + 4*j**2 - j - 4. Let r be c(l). Suppose 0 = -2*d + 4*d - 6. Solve 3*y - o - r = 10, -d*o + 16 = 5*y for y. 5 Let r(m) = 2*m**2 - 2*m - 1. Let k be r(-1). Suppose 3*n - 2 = -4*y, -2*y + 6*y = k*n - 34. Solve -2*p = 4*l - 8, -5*l + n = -p - 18 for l. 4 Let u(s) = s**2 - s. Let x be u(2). Suppose -3*o - 2*o + x*f + 47 = 0, 4*f = 4*o - 28. Suppose -w = 4*w - 15. Solve 0 = 5*q, -w*i + 2 = -3*q + o for i. -3 Let r be ((-25)/2)/((-1)/2). Suppose d - r = -5. Suppose 0 = 4*l + 4*y - 32, 0*y = -4*l + 2*y + d. Solve -4*m + 3*z = 5*z + l, -7 = 3*m - z for m. -2 Suppose 0 = -r - r + 8. Let y(j) = -j**3 + r*j**2 - 2 + 0 + 0*j - 1 + j. Let v be y(3). Solve -1 + 7 = w + l, 5*l = 2*w + v for w. 3 Let x(q) = 6*q**3. Let v be x(1). Suppose -t - v = -4*t. Solve 0 = -t*a - 4, -2*b + 7*b - 5*a = 25 for b. 3 Let i be 44/10 + (-4)/10. Let a(m) = 3*m - 11. Let j be a(5). Suppose 3*g = d, 3*d + g - j = 6. Solve -7*v + 8 = -i*r - d*v, 3*v = r for r. -3 Suppose -3 = -2*v + v. Suppose v*y - 6 = -18. Let k be (-4)/(-2) - (y - -2). Solve -4*n = -3*r + 9, 1 = k*n + 3*r + 16 for n. -3
Simplify ((r*r**(3/7)/r)/(r**(-4/3)/r))**(-12) assuming r is positive. r**(-232/7) Simplify h**1/(h/((h/(h**(-7)/h))/h)) assuming h is positive. h**8 Simplify l**0/l*l**(-8)*l**(-4/5)*l**(2/9) assuming l is positive. l**(-431/45) Simplify (s*s*(s*s/(s**(-1/7)*s)*s)/s*(s/(s*s**10*s))/s)**9 assuming s is positive. s**(-558/7) Simplify q**(-14)*q*(q**(-8/7)/q)/q assuming q is positive. q**(-113/7) Simplify (((y**2*y)/y)/y*y*y)/y**6*y**(2/11)/(y/(y/(y**7*y))) assuming y is positive. y**(-119/11) Simplify (y/y**5*y**(-4/9))/(y**(-2))**(-40) assuming y is positive. y**(-760/9) Simplify (p**1)**41/((p*p**(-1/17)*p)/(p*p**(-1/3)/p)) assuming p is positive. p**(1975/51) Simplify ((b/(b*b**(-2/13)))/(b**1*b))/(b*b/b**(1/3))**31 assuming b is positive. b**(-2087/39) Simplify b*b**(-4/7)*b*b/(b**(-2)*b) assuming b is positive. b**(24/7) Simplify (b**(3/2)/b*(b*b**4)/b)**12 assuming b is positive. b**54 Simplify y**(-17)*y**(-14)/y assuming y is positive. y**(-32) Simplify ((w/(w**(2/3)/w))**(2/27))**(9/13) assuming w is positive. w**(8/117) Simplify v/(v**(-5/3)/v)*v**(-23/2) assuming v is positive. v**(-47/6) Simplify (p*p**(-10)*p*p**(-3/4)*p)**(1/2) assuming p is positive. p**(-31/8) Simplify (v/v**(-25)*v*v*v*v)**4 assuming v is positive. v**120 Simplify (l**(-5)/l**(-3))**(-26) assuming l is positive. l**52 Simplify (((v*v/(v/((v*(v**(-5/3)/v)/v)/v*v)))/v)/v**(-6))/(v**(-1/3)*v*v**(-5)) assuming v is positive. v**(23/3) Simplify ((((r/r**3)/r)/r)/r*r**(-3))/(r**7*r**(1/13)) assuming r is positive. r**(-196/13) Simplify (k/((k*(k/k**(6/11)*k)/k*k)/k)*k**(-1))/(k**(2/9))**(-7/3) assuming k is positive. k**(-278/297) Simplify w**(1/4)/(((w**(1/4)*w)/w)/w)*(w**3*w)/(w/(w**(-2/9)*w)) assuming w is positive. w**(43/9) Simplify (m/(m*m**0*m))**(-13)*m**0/(m/(m*m*m/m**(2/7))) assuming m is positive. m**(103/7) Simplify (m**(-1)*m*m/((m/(m**(2/3)*m))/m*m))/(m**(-4)/(m*m**5)) assuming m is positive. m**(35/3) Simplify j/(j/j**(-1/3))*j/(j*j/(j*j*j/(j/(j**(5/3)/j*j)))*j) assuming j is positive. j**(4/3) Simplify (n**(3/2)*(n**(-3/7)/n)/n)/((n*(n/(n*n**4/n*n)*n*n)/n)/(n/n**3)) assuming n is positive. n**(-13/14) Simplify p/(p*p*p/(p/p**(-15/4))*p)*p**(-3/11) assuming p is positive. p**(65/44) Simplify n/(((n/(n*n/(n*n/(n*n**18/n))*n))/n)/n)*n/(n**(-9/2)*n)*n assuming n is positive. n**(53/2) Simplify ((j**(-10)/j)/(j*j**(-3)*j))/((j/j**(2/13))/j*j**(-4)) assuming j is positive. j**(-76/13) Simplify k**2/(k**(-2)*k) assuming k is positive. k**3 Simplify y**12/(y/y**(7/5)) assuming y is positive. y**(62/5) Simplify ((d*d/d**(2/7)*d)/(d*d*d*d**2*d))**42 assuming d is positive. d**(-138) Simplify (g/((g*g**2)/g*g))/g**(-3/4)*(g*g**(-1)/g)**(-12/11) assuming g is positive. g**(-7/44) Simplify i**(-16/7)/i**(1/4) assuming i is positive. i**(-71/28) Simplify (u*u**(-13)*u/(u**(-14)*u))**16 assuming u is positive. u**32 Simplify t/(t/((t*t/t**(-1/9))/t))*t**(1/5)*t*(t**(-1/2)/t*t*t)**(2/93) assuming t is positive. t**(3239/1395) Simplify ((j**1)**(-27/2))**(-1/9) assuming j is positive. j**(3/2) Simplify (r**(1/3))**(-7)*(r*r**1)**(1/16) assuming r is positive. r**(-53/24) Simplify (p/(p/(p/((p/(p*p**1*p))/p)*p)))**(13/6)/(((p*p*p/p**(2/11)*p)/p)/(p**(-1/4)*p)) assuming p is positive. p**(1157/132) Simplify (u**(-4)/(u*u*u**(2/5)/u*u))/((u/(u/u**(3/4)))/(u*(u**(-3)/u)/u)) assuming u is positive. u**(-223/20) Simplify p**2*p/(p/(p*p**(-3))*p*p)*(p**(1/4))**(-42) assuming p is positive. p**(-25/2) Simplify (((w*(w*w*w**(1/8)*w)/w)/w)**(-27))**(-37) assuming w is positive. w**(16983/8) Simplify (x*x**(-22)*x/(x*x**(-21)))**(2/69) assuming x is positive. 1 Simplify (l*l**2)/l**(-13) assuming l is positive. l**16 Simplify (i/i**6*i/(i**(2/27)/i))**(15/8) assuming i is positive. i**(-415/72) Simplify h**10*h/(h*h**5/h*h)*h assuming h is positive. h**6 Simplify (t*(t/(t**(1/2)/t))/t*t**(4/7)/t)/(t**(3/5)/(t*t**(-5))) assuming t is positive. t**(-247/70) Simplify (v/(v**(2/13)/v)*v/(v*v**4/v*v)*v)/(v/v**(-1))**18 assuming v is positive. v**(-483/13) Simplify (n**0)**(-14)*n**(-4/7)/(n/(n*(n*(n/n**(-5))/n)/n)) assuming n is positive. n**(31/7) Simplify ((b/(b/(b/(b*b*b**(-4/3)))*b))/(b*b*((b/((b*b*b*b*b**2*b*b*b*b*b)/b))/b)/b))**(-28) assuming b is positive. b**(-700/3) Simplify (n*n**15/n*n)/(n*n/(n/(n/n**(-2/3))*n)) assuming n is positive. n**(43/3) Simplify (q**(3/11)*(q/((q*q*q*q/((q*(q/(q**(-1/10)/q)*q)/q)/q))/q))/q*q)/(q/(q/q**(-9))*q**(-2/21)*q) assuming q is positive. q**(19561/2310) Simplify (d/((d*d*d/(d/d**(-9)*d))/d*d)*d*(d**(-5)*d)/d*d)/(d**9*d/((d/(d**(-3)/d))/d)) assuming d is positive. 1 Simplify (z/(z*z*z/(z**(-9)*z)*z))/(z/(z/(z*z/z**1))*z)*z**(-2/9)/z*z**(-2/21)*z assuming z is positive. z**(-839/63) Simplify ((g/(g*g**(10/3)*g))/g)**50 assuming g is positive. g**(-800/3) Simplify f**(-9/4)*f*f**(2/27) assuming f is positive. f**(-127/108) Simplify (o**(2/13)/o**6)/(o**(3/7)*o/(o*o**(-5/3)*o)) assuming o is positive. o**(-1895/273) Simplify (r**7)**50 assuming r is positive. r**350 Simplify (m**3/m**(1/3))/(m**(-1/3))**49 assuming m is positive. m**19 Simplify o**(-27)*o/(o*o/o**(2/37)) assuming o is positive. o**(-1034/37) Simplify ((u**(1/10))**34)**(-7) assuming u is positive. u**(-119/5) Simplify (d**10/d)**(-7/3) assuming d is positive. d**(-21) Simplify (q**0)**(-39)*q**(-6/7)*q**(7/4)*q assuming q is positive. q**(53/28) Simplify o**(-24)*(o**(-9/5)/o)/o assuming o is positive. o**(-139/5) Simplify o*o**(2/23)*o*o**7 assuming o is positive. o**(209/23) Simplify w**0*w*((w/(w**(3/16)/w))/w)/w assuming w is positive. w**(13/16) Simplify (s**(-1))**(5/2) assuming s is positive. s**(-5/2) Simplify ((y**(-4)*y)/(y*y*y**9*y))/(y*y**(-2/5)*y**(-1/6)) assuming y is positive. y**(-463/30) Simplify ((x/(x/(x/((x/(x*x**0/x*x))/x)))*x)/x*x*x**(-7))/(x*x**2)**(1/67) assuming x is positive. x**(-271/67) Simplify (j**(-3)*j**(-1))**2 assuming j is positive. j**(-8) Simplify ((g**12*g)/g)**6 assuming g is positive. g**72 Simplify (j/(j/(j*j**2*j)*j))/(j*j**(3/4)*j*j)*(j**(2/5))**(4/11) assuming j is positive. j**(-133/220) Simplify p**(-2/87)/(p/(p**(1/17)*p*p)) assuming p is positive. p**(1532/1479) Simplify ((k**(-1/3))**(-7/5))**(-36) assuming k is positive. k**(-84/5) Simplify z**21/z*z*z**(-4/5)/z assuming z is positive. z**(96/5) Simplify (r**1)**(-40)/(r**(-9)*r/(r/(r/((r*(r/(r/r**6))/r)/r)))) assuming r is positive. r**(-27) Simplify (z**0)**(1/10)*z**6/z*(z/z**6*z)/z assuming z is positive. 1 Simplify (l*(l**(6/7)*l)/l*l)/l**10 assuming l is positive. l**(-50/7) Simplify (g**(1/2)/(g*g/g**(-7/3)))**(-2/33) assuming g is positive. g**(23/99) Simplify ((j*j/j**(2/7))/(j*j**(-4/3)*j))**(1/19) assuming j is positive. j**(22/399) Simplify (y*y**(-18))/y*y**(1/32) assuming y is positive. y**(-575/32) Simplify v/(v*v/(v*v/(v*v**(-5)*v)))*v*((v**(-11)*v)/v)/v*v assuming v is positive. v**(-6) Simplify p**(-2/5)/p**(-16) assuming p is positive. p**(78/5) Simplify (u**(1/4)/(u/u**5))**(2/65) assuming u is positive. u**(17/130) Simplify (b**(-13)/b)/b**(-2/7) assuming b is positive. b**(-96/7) Simplify (g*g/(g/(g/g**9)*g)*g/((g*g*((g*g/(g/(g**(-6/7)/g)))/g*g)/g*g*g*g)/g)*g)/((g/(g**(2/23)*g))/g*g/(g*g*g/((g*g*g**(-2/7)*g)/g))) assuming g is positive. g**(-1090/161) Simplify (u**(-1))**(-8)*(u**(-7)*u)/(u**(-4)*u) assuming u is positive. u**5 Simplify (g/g**(-2/7))**(-2/59)/((g*g**(-1/5))/(g/g**(-3))) assuming g is positive. g**(6518/2065) Simplify y**45/y*y**14 assuming y is positive. y**58 Simplify ((r*r**(-5/6))/r)/(r*r/(r**10/r)) assuming r is positive. r**(37/6) Simplify (j**(1/4)*j)**(10/3)*j/(j*j*j*j/j**6)*j/(j*j*j**(1/5)) assuming j is positive. j**(179/30) Simplify t**24*t**30/t assuming t is positive. t**53 Simplify (l*l**0)**13/((l/(l/l**(5/3))*l)/l**(2/3)) assuming l is positive. l**11 Simplify s**(-7)/s*s*(s**13/s)/s assuming s is positive. s**4 Simplify ((x**(-7))**(-3/8))**(-11/6) assuming x is positive. x**(-77/16) Simplify (b**(-6/5))**(-18/7) assuming b is positive. b**(108/35) Simplify (m/(m*m/m**(1/3)*m)*(m/(m*(m*m**(-1/17))/m*m))/m)**(-42) assuming m is positive. m**(2576/17) Simplify b*(b/(b**33/b))/b*b**21 assuming b is positive. b**(-10) Simplify (z*(z/z**(3/8))/z)/z**(2/7)*(z*z*z/z**(-1)*z)/z*z**(-2/3) assuming z is positive. z**(617/168) Simplify (a**(-1/2)*a)**9*(a/a**(5/3)*a*a)/((a*a*a**5)/a) assuming a is positive. a**(-1/6) Simplify (r/(r**(1/14)*r)*r/r**(6/11))**(1/2) assuming r is positive. r**(59/308) Simplify (r/(r**(2/9)*r))**(-35)*(r*r**(-1/5)/r*r)/r*r*r*r**(-1/5)*r*r assuming r is positive. r**(512/45)
Let u = -67.332 - -25.271. Let n = -67 + 109. Let x = n + u. What is x rounded to two decimal places? -0.06 Let z be (-10035)/(-6)*280/(-48)*-8. Round z to the nearest 1000. 78000 Suppose -4*w + 14539353 = -1150007. Let v = -1934175 + w. Let d = 2868165 - v. Round d to the nearest 100000. 900000 Let t = 4202 - 4208.231. Let r = t + 6.2. Round r to 2 decimal places. -0.03 Let a = 1389 + -744. Let k = a + -657.14. Let j = k + 12. What is j rounded to 2 dps? -0.14 Let g = 7466.021 + -7481.021055. Let i = g - -15. What is i rounded to 5 dps? -0.00006 Let w(z) = 2*z - 10. Let c be w(7). Suppose -c*r = 2*o - 38314, 27956 = 2*r - o + 8789. Suppose 2*t = -r - 419. Round t to the nearest 10000. -10000 Let c = 0.42 - -197.58. Let f = -87 + c. Let b = f - 110.99917. Round b to 4 dps. 0.0008 Let b = 4302.2 + -3809. Let t = b + -480.206. Let d = -13 + t. Round d to 3 dps. -0.006 Let y(c) = -c - 9. Let t be y(3). Let o be 9/12 + 12240009/t. What is o rounded to the nearest one hundred thousand? -1000000 Let t = -32.8 - -27.1. Round t to 0 decimal places. -6 Let i(j) = 854*j**3 + 8*j**2 + 5*j + 1. Let n be i(-3). What is n rounded to the nearest one hundred thousand? 0 Let a = -2.0577 + -0.1543. Round a to one dp. -2.2 Let l = 857 + -856.8693. What is l rounded to 3 dps? 0.131 Suppose -4*h + 10052 = 37492. Round h to the nearest one thousand. -7000 Let f = 1619 + -1304.8. Let w = -265 + f. What is w rounded to the nearest 10? 50 Let g = -1675967507083 + 1675967703769.0510029. Let m = g - 196686. Let v = m + -0.051. What is v rounded to 6 decimal places? 0.000003 Let f = -515.6 + 508. What is f rounded to 1 dp? -7.6 Let i = 210 + -209.998473. Round i to four dps. 0.0015 Let c(w) = -w**2 - w + 7. Let u(m) = -2*m**2 - 3*m + 14. Let h(b) = 5*c(b) - 3*u(b). Let f be h(2). Suppose 4*k - f*k - 25700 = 0. Round k to the nearest 1000. -26000 Let v = -25 - -43. Let b = v + -17.9987. Round b to 4 decimal places. 0.0013 Suppose 356*u - 343*u + 1429870 = 0. What is u rounded to the nearest ten thousand? -110000 Let f = 0.25191 + 8.55229. Let t = -8.8 + f. What is t rounded to three dps? 0.004 Let f = -15 + 22. Suppose -f*l = -5*l + 3600. What is l rounded to the nearest 1000? -2000 Let h = -1190.00002035 + 1190. What is h rounded to five dps? -0.00002 Let h = -685923 + 1022923. What is h rounded to the nearest ten thousand? 340000 Let c be (-9 - -49)*(-4)/(-5). Let n = 47 - c. Suppose -3*i + x - 3*x = 96010, n = -3*x. What is i rounded to the nearest ten thousand? -30000 Let j = -135 - -68. Let a = j - -66.9849. Round a to 3 dps. -0.015 Let s = -0.16448 - -0.15. What is s rounded to 3 dps? -0.014 Suppose -8 = 2*y, -50*y + 54*y - 18723984 = 4*k. Round k to the nearest one million. -5000000 Let r = -109876.2 - -109936.1873. Let t = 60 - r. Round t to 3 dps. 0.013 Let c(w) = -2963*w + 3. Let p be c(1). Round p to the nearest one thousand. -3000 Let f = -184 + 131. Let r = -12701779.6 - -12701832.600059. Let l = f + r. What is l rounded to 5 decimal places? 0.00006 Let y = -2.847 + 2.98205. What is y rounded to 2 decimal places? 0.14 Let p = 0.05 + 2.95. Let l = -12 - p. Let q = 15.00036 + l. What is q rounded to 4 decimal places? 0.0004 Let g = -23070 - -23172.99. Round g to 0 decimal places. 103 Let x = 66411202868589 - 66411233462083.000003. Let u = 30593463 + x. Let k = -31 - u. What is k rounded to six decimal places? 0.000003 Let b = 285707.0023 + -285732. Let n = b - -25. Round n to 3 dps. 0.002 Let r = 373.5 + -478. Round r to the nearest 10. -100 Let j(y) = -y**3 - 21*y**2 - 11. Let v be j(-22). What is v rounded to the nearest ten? 470 Let s = -18128700 + 5149700. What is s rounded to the nearest 1000000? -13000000 Let u = -79 - 4. Let b = u - -83.0284. What is b rounded to three dps? 0.028 Let b(m) = 16*m + 13000. Let w be b(0). What is w rounded to the nearest 10000? 10000 Let c(u) = -68*u - 9531*u**3 + 0*u**2 + u**2 - 4 + u**2 + 71*u. Suppose -3*b + 6 = -6, b = -4*t - 12. Let p be c(t). Round p to the nearest 100000. 600000 Suppose -4*q + b = 261964 + 1499750, 3*q - 3*b + 1321290 = 0. Let x = -617428 - q. What is x rounded to the nearest one hundred thousand? -200000 Let w = -965 - -976.31. Let c = w + -11. Round c to one dp. 0.3 Let m be 54398 - (26/(-78) - 10/6). Round m to the nearest one thousand. 54000 Suppose 0 = 3*t - 2*t - 3. Suppose 2*l + 2 = 3*l + 4*m, 57 = t*l - 5*m. Suppose -13*a + l*a = 22500000. What is a rounded to the nearest 1000000? 23000000 Let w(y) be the third derivative of -169*y**4/8 - y**3/2 - y**2. Let l = -34 - -35. Let d be w(l). Round d to the nearest one hundred. -500 Let v = -201 + 196.72. Let g = 5.2 + v. Let s = g + -0.02. What is s rounded to zero decimal places? 1 Suppose 1 = 2*v - 7. Let b be v*((-257)/2 + 1). What is b rounded to the nearest 1000? -1000 Let w = -258.996 - -259. What is w rounded to 1 decimal place? 0 Suppose -4*l = 2*x - 28 + 8, 2*x + l - 8 = 0. Suppose -3*c = 5*b + 13730, 2*c + x*c = -b - 2729. Let p = -4419 - b. Round p to the nearest one hundred. -1700 Suppose -73*u = -198938693 - 355934307. Round u to the nearest one million. 8000000 Let k = 112951 + 6832402. Suppose -12923607 - k = t - 5*w, 99344892 = -5*t + 2*w. Let q = t + -3031020. Round q to the nearest one million. -23000000 Let g = -0.0524 + -0.0746. What is g rounded to 2 decimal places? -0.13 Let v = -434.99476 + 435. What is v rounded to 3 decimal places? 0.005 Let z = -53 + 230. Let w = -176.9999633 + z. Round w to six dps. 0.000037 Let n = 0.4316084496 + 2097.9885225504. Let b = n - 2096.27. Let g = b - 2.15. Round g to five dps. 0.00013 Let h be (-955)/5*2/(-1). Suppose 2*y - h = 5*y - l, 0 = -y + l - 130. Round y to the nearest ten. -130 Suppose 3*z + z - 148 = 0. Suppose 3600 = 40*d - z*d. What is d rounded to the nearest one thousand? 1000 Let l(a) = a**3 + 13*a**2 + a + 12. Let y = -29 + 16. Let k be l(y). Let g(c) = 500*c. Let h be g(k). What is h rounded to the nearest 100? -500 Let n be (45046 - 0) + (-18)/6. Suppose n + 30957 = 4*p + l, 95000 = 5*p - l. Round p to the nearest ten thousand. 20000 Suppose -5*k - 33 = 7. Let m = 16 + k. Let a = m - 24. Round a to the nearest ten. -20 Suppose -76 + 74 = -d. Let p(z) = z**3 - 6*z**2 - 8*z + 4. Let u be p(7). Let i be d/6 - (-46200001)/u. Round i to the nearest one million. -15000000 Let s = -19431.86393 + 19432. Let h = -35.93793 - s. Let u = h + 36. Round u to two decimal places. -0.07 Suppose -4*h + 510079988 = -4*t, 3*t - 120786981 = -5*h + 516813028. What is h rounded to the nearest one million? 128000000 Let u be 4/(-6 - -7) - -8. Let f(y) = -y**2 - 4*y. Let v be f(-3). Let m be (-900)/(1/u*v). What is m rounded to the nearest 1000? -4000 Let q = 54.3000975 - 54.3. What is q rounded to six decimal places? 0.000098 Let n = 0.9378793 + -0.938. Round n to 5 decimal places. -0.00012 Let t = -142552.48558 - 7278496724.51442. Let s = -7278639140.00000083 - t. Let r = s - 137. What is r rounded to seven dps? -0.0000008 Let m = -0.04226581 + 35.04277581. Let a = m - 35. What is a rounded to four dps? 0.0005 Let y = -536 - -535.9998764. What is y rounded to five decimal places? -0.00012 Let p = 53.6 - 51.137. Let r = p + -0.113. What is r rounded to zero dps? 2 Let z = -645.8519952 - -645.8. Let o = z + 0.052. Round o to six decimal places. 0.000005 Let v = -0.14684 + 0.156701. Round v to 3 decimal places. 0.01 Let b = 31.6857 - -115.303. Let j = -147 + b. What is j rounded to three dps? -0.011 Let k = 32570 - 32573.00006. Let h = 16 - 13. Let s = h + k. Round s to five decimal places. -0.00006 Let x = -14917227 - -23517227. What is x rounded to the nearest one million? 9000000 Let z = -7467 + -5383. Round z to the nearest one thousand. -13000 Let b(d) = 273*d**3 - 2*d + 2. Let v be b(1). Suppose 0*z + v = 3*z. What is z rounded to the nearest 10? 90 Let o = -2.270835 + 81.267185. Let v = o - 79. Round v to 4 decimal places. -0.0037 Let y = 1969.16 - 2041. Let t = y + -0.16. Let d = 61.7 + t. Round d to zero dps. -10 Let h = 5095 + -5094.9997441. Round h to 5 dps. 0.00026 Suppose -2*i = 4 - 12. Suppose 2*g + s = -2*g + 3199998, 0 = -i*g + 3*s + 3200006. What is g rounded to the nearest 1000000? 1000000 Let m = -3 + 3.1856. What is m rounded to 2 dps? 0.19 Let g = -363 + 560. Let a = -5732680260 + 5732680456.99999887. Let l = a - g. What is l rounded to 7 decimal places? -0.0000011 Let p = 10.96 - 5. Let f = -3.15 + -1.1. Let c = p + f. Round c to one dp. 1.7 Let f = 14.015 - 11.6. What is f rounded to 1 decimal place? 2.4
What is the lowest common multiple of 13944 and 12636? 14683032 Calculate the common denominator of 167/30 and 19/76524642. 382623210 Find the common denominator of 59/3178976 and -47/40. 15894880 Find the common denominator of -139/9290880 and 17/8064. 65036160 What is the lowest common multiple of 700 and 49370095? 6911813300 What is the smallest common multiple of 14232991 and 75? 1067474325 Calculate the common denominator of 27/3944 and -4/375. 1479000 Calculate the smallest common multiple of 5216 and 423148. 3385184 Calculate the lowest common multiple of 6 and 21194118. 21194118 Calculate the least common multiple of 2459333 and 35689. 218880637 Find the common denominator of 79/99099 and 8/88209. 8027019 What is the common denominator of -155/726 and 59/14535? 3517470 What is the common denominator of -3/8432 and -79/2318800? 2318800 Calculate the least common multiple of 2694252 and 979728. 10777008 Calculate the lowest common multiple of 4892 and 57137337. 228549348 What is the common denominator of -37/70812 and -109/303480? 2124360 Find the common denominator of -65/4092 and -47/153410816. 5062556928 Calculate the common denominator of -107/242956 and 103/1540. 13362580 What is the smallest common multiple of 93727494 and 255? 468637470 What is the common denominator of 35/8822 and -109/2646600? 2646600 Find the common denominator of -73/394440 and -37/10380. 394440 What is the smallest common multiple of 65447970 and 25004? 130895940 Calculate the lowest common multiple of 208 and 156646880. 156646880 Calculate the lowest common multiple of 6195144 and 3871965. 30975720 Calculate the least common multiple of 3526800 and 7641400. 45848400 What is the smallest common multiple of 383474 and 2575244? 1439561396 Calculate the least common multiple of 3378244 and 7352. 6756488 Calculate the common denominator of -19/20313270 and 95/5688. 81253080 What is the common denominator of 57/8024 and -103/2804388? 5608776 What is the smallest common multiple of 434 and 52201520? 52201520 What is the common denominator of -15/200037947 and -61/35483? 1400265629 Find the common denominator of 167/166560 and 33/471920. 2831520 Find the common denominator of -4/324621 and 4/42627. 4220073 What is the lowest common multiple of 1807520 and 251080960? 2761890560 Calculate the lowest common multiple of 17438 and 1011404. 1011404 Calculate the common denominator of -89/7560 and -41/574560. 574560 Calculate the least common multiple of 37246 and 18454. 343668842 What is the common denominator of -103/3549524 and 21/2581472? 28396192 Find the common denominator of -32/4956419 and 2/7371. 2810289573 Find the common denominator of -11/19142796 and 43/5117655. 3541417260 Find the common denominator of 107/41532744 and -41/6292840. 207663720 Find the common denominator of 87/39350 and -121/11694820. 58474100 What is the common denominator of -13/43390723 and -59/3054? 260344338 Find the common denominator of -137/49742 and 29/1039115. 671268290 Calculate the least common multiple of 3 and 4134482. 12403446 Calculate the lowest common multiple of 4382124 and 136. 8764248 Find the common denominator of 89/226941 and -88/144417. 1588587 What is the common denominator of -101/598 and 67/3439535? 89427910 What is the common denominator of -63/2652880 and -73/120? 7958640 What is the lowest common multiple of 2456340 and 3438876? 17194380 Calculate the common denominator of -17/609930 and -95/6. 609930 Calculate the smallest common multiple of 2480958 and 18. 2480958 What is the common denominator of 69/4160948 and 103/198? 37448532 What is the lowest common multiple of 1536 and 9079296? 9079296 What is the smallest common multiple of 365184 and 52032? 98964864 Calculate the common denominator of -7/229177 and -89/561. 7562841 What is the least common multiple of 1842800 and 2211360? 11056800 Calculate the common denominator of -1/35 and -125/41874. 209370 What is the common denominator of 127/10836 and 115/1561434? 402849972 Calculate the smallest common multiple of 242 and 1736207. 38196554 What is the lowest common multiple of 8748508 and 48996? 78736572 What is the common denominator of -77/832035 and 7/16141479? 80707395 Find the common denominator of -81/3819760 and -26/77. 42017360 What is the common denominator of -7/2025 and 167/465390? 20942550 Calculate the least common multiple of 6168960 and 1785. 6168960 What is the common denominator of -79/333283750 and 101/4? 666567500 What is the common denominator of -97/4395428 and 9/3757382? 232957684 What is the lowest common multiple of 20035 and 4575994? 22879970 Calculate the common denominator of 23/2776032 and 19/29484. 36088416 What is the common denominator of -149/26442 and -39/878236? 102753612 Find the common denominator of 117/98 and 137/1818306. 12728142 Calculate the smallest common multiple of 3037150 and 105640. 12148600 Calculate the smallest common multiple of 5811 and 38286. 74159982 Find the common denominator of -11/46 and 41/761270. 17509210 Calculate the smallest common multiple of 108652 and 6854. 16189148 Find the common denominator of -57/104 and 77/2737774. 10951096 What is the common denominator of 63/8 and 33/4589333? 36714664 What is the least common multiple of 7858183 and 369? 70723647 Find the common denominator of -161/3527568 and 145/17292. 3527568 Calculate the smallest common multiple of 340 and 2576877. 51537540 Calculate the common denominator of 81/519680 and 9/110432. 8834560 Find the common denominator of -61/12151540 and 137/9990. 328091580 What is the smallest common multiple of 18580042 and 13? 18580042 Calculate the least common multiple of 188 and 3219522. 302635068 Calculate the least common multiple of 530760 and 980. 26007240 Calculate the lowest common multiple of 8400 and 586600. 3519600 What is the lowest common multiple of 155575618 and 56572952? 622302472 What is the least common multiple of 112 and 8878064? 62146448 Find the common denominator of -17/31677859 and 55/2847448. 253422872 Find the common denominator of -137/2880 and -31/3461328. 69226560 Calculate the common denominator of -67/5764 and -57/39347. 20617828 What is the least common multiple of 2022 and 129264? 43561968 Calculate the smallest common multiple of 14350 and 20590815. 205908150 Find the common denominator of -83/72 and -61/156740120. 1410661080 Calculate the common denominator of -89/200646 and -107/12246. 2608398 Calculate the common denominator of 65/9376854 and -17/118314. 590741802 Find the common denominator of -11/1011660 and 95/18479656. 277194840 Find the common denominator of -17/8704197 and -1/541755. 130562955 Calculate the common denominator of -53/31030 and -15/1967302. 9836510 Calculate the common denominator of 131/2028006 and -10/182853. 22308066 Calculate the common denominator of 62/505 and 38/2947887. 14739435 Find the common denominator of -31/5469 and 29/1562. 8542578 Calculate the least common multiple of 1079376 and 1349220. 5396880 Calculate the common denominator of 15/21182 and -39/49840. 847280 Calculate the smallest common multiple of 4746152 and 36. 42715368 Calculate the least common multiple of 1279330 and 6298240. 81877120 What is the common denominator of -109/777700 and 23/1430? 10110100 What is the smallest common multiple of 433080 and 193630068? 1936300680 Calculate the least common multiple of 4032 and 125322. 84216384 Calculate the smallest common multiple of 685170 and 1416018. 21240270 Calculate the common denominator of 81/728 and 125/9307584. 65153088 What is the common denominator of -27/7398505 and 43/283347? 66586545 What is the common denominator of 113/28282848 and 89/25711680? 282828480 Calculate the lowest common multiple of 6914548 and 1420. 34572740 Find the common denominator of -53/9520938 and -83/4788. 19041876 What is the least common multiple of 139137672 and 18? 417413016 What is the common denominator of -41/414475756 and 77/18? 3730281804 Calculate the least common multiple of 22891308 and 3194136. 137347848 What is the common denominator of 73/12380 and -59/14878284? 74391420 Find the common denominator of -43/14346387 and -47/494703. 14346387 What is the lowest common multiple of 25669266 and 722? 25669266 Calculate the smallest common multiple of 87432160 and 15280. 87432160 What is the common denominator of -151/3692412 and -19/4512948? 40616532 Find the common denominator of 5/52371 and 5/29877. 22676643 Calculate the common denominator of -139/294 and -113/193204942. 579614826
What is a in -1/5*a**3 + 1/5*a - 1/5*a**2 + 1/5 = 0? -1, 1 Let d be (1 + 0)/((-3)/(-6)). Factor 2/7 - 4/7*a + 2/7*a**d. 2*(a - 1)**2/7 Determine j, given that -12*j**2 + 8*j + 4*j**4 + j**4 - j**4 = 0. -2, 0, 1 Let t be (3 - 8/(-3)) + -3. Let y be (-2)/36*-3*4. Determine p so that y*p**2 - t*p + 8/3 = 0. 2 Factor -8/7*j**2 + 32/7 - 16/7*j + 4/7*j**3. 4*(j - 2)**2*(j + 2)/7 Let z(o) be the second derivative of -o**4/60 - o**3/30 + o. Factor z(y). -y*(y + 1)/5 Let q(j) = j**3 + 3*j**2 - 5*j - 1. Suppose 2*x + 13 = 5. Let k be q(x). Factor h**k + 0*h + 3*h**2 - h + 3*h. h*(h + 1)*(h + 2) Let n(m) be the second derivative of m + 1/10*m**6 - 1/7*m**7 - 1/2*m**3 - 1/4*m**4 + 9/20*m**5 + 0*m**2 + 0. Determine x, given that n(x) = 0. -1, -1/2, 0, 1 Let k = 1435072/247 + -5810. Let f = 500/741 - k. Solve 0*m**3 - f*m**2 + 1/3*m**5 - 1/3*m + 2/3*m**4 + 0 = 0 for m. -1, 0, 1 Suppose 4*a = -321 - 99. Let z be (-51)/a + 2/(-10). Factor -2/7*r**2 + 0 - z*r. -2*r*(r + 1)/7 Let j(z) be the first derivative of -10*z**3/9 + 8*z**2/3 - 2*z - 6. Solve j(g) = 0 for g. 3/5, 1 Let l(p) = -p - 6. Let x be l(-9). Suppose -5*g + 23 = 8, 3*u + x*g = 15. Factor -2*f + 7 - 3 + 3*f**2 - u*f**2 - 3*f**2. -2*(f - 1)*(f + 2) Let w = 208 - 1038/5. Factor 2/5 - w*n**2 + 0*n. -2*(n - 1)*(n + 1)/5 Let b = 5498/45 - 934/9. Let s = b + -18. Factor 0 + 0*u**2 + s*u**3 + 0*u. 2*u**3/5 Suppose -4*s = -2*k - 24, 0 = -k + 2*s - s - 8. Let b = 4 + k. Factor b - 14/3*i**2 - 4/3*i. -2*i*(7*i + 2)/3 Let a be 2/(-3)*(-6)/40. Let v(x) be the first derivative of 2 - 2/5*x + 2/15*x**3 + a*x**4 - 1/5*x**2. Find k, given that v(k) = 0. -1, 1 Let f(a) be the second derivative of 1/6*a**4 + 0 - 3*a + 2/3*a**3 + a**2. Determine h so that f(h) = 0. -1 Suppose -4*g - 18 + 6 = -4*z, -3*g - 1 = z. Let i be ((-4)/(-8)*0)/1. Factor -4 + 0*l + 6*l - 2*l**z + i*l. -2*(l - 2)*(l - 1) Let a be 8 - 35/4 - (-2 - -1). Factor -a*f**3 + 5/4*f**2 - 9/4 - 3/4*f. -(f - 3)**2*(f + 1)/4 Let o(u) be the first derivative of -2/3*u**3 - 2*u - 2*u**2 + 4. Factor o(s). -2*(s + 1)**2 Let u be 6 + -3 + (-4)/(-12)*-3. Factor 6/5*y + 2/5*y**3 + 2/5 + 6/5*y**u. 2*(y + 1)**3/5 Factor 12/5*l + 18/5 + 2/5*l**2. 2*(l + 3)**2/5 Determine r so that 0*r**3 - 1/5*r**4 + 0*r**2 + 0 + 0*r = 0. 0 Let n(k) = -5*k**2 + 21*k. Let y be (11/2)/(3/(-6)). Let v(o) = o**2 - 4*o. Let i(g) = y*v(g) - 2*n(g). Factor i(s). -s*(s - 2) Factor 8/7*x**3 + 0*x**2 - 12/7*x**4 + 4/7*x**5 + 0 + 0*x. 4*x**3*(x - 2)*(x - 1)/7 Let q(t) = -t + 1. Let u(y) = 70*y**4 + 195*y**3 + 190*y**2 + 72*y + 13. Let j(l) = -3*q(l) + u(l). Suppose j(r) = 0. Calculate r. -1, -1/2, -2/7 Let d(x) = x**4 + 2*x**3 - x**2 + 2*x. Let z(u) = -5*u**4 - 9*u**3 + 5*u**2 - 9*u. Let s(k) = -9*d(k) - 2*z(k). Factor s(j). j**2*(j - 1)*(j + 1) Let -2 + 9*z + 15*z**2 - 2 - 2 = 0. Calculate z. -1, 2/5 Let a(y) be the second derivative of y**5/30 - y**4/3 + 4*y**3/3 - y**2/2 - 3*y. Let j(g) be the first derivative of a(g). Find q such that j(q) = 0. 2 Let g(x) be the second derivative of 3*x**8/224 + x**7/35 - x**6/120 - x**5/30 + x**4/48 + x**2/2 + 2*x. Let p(j) be the first derivative of g(j). Factor p(y). y*(y + 1)**2*(3*y - 1)**2/2 Let w(q) = 6*q**2 - 2*q - 3. Let z be w(3). Let r be z/27*(-2)/(-5). Suppose 0 + 2/3*f**2 - 2/3*f**4 + 0*f - 2/3*f**3 + r*f**5 = 0. What is f? -1, 0, 1 Let t be ((-1)/(-2))/((-51)/4). Let p = 422/357 + t. Factor 2/7 + p*o + 6/7*o**2. 2*(o + 1)*(3*o + 1)/7 Let x(v) be the third derivative of v**8/84 - 2*v**7/35 + v**6/10 - v**5/15 + 4*v**2 + 9. Find h such that x(h) = 0. 0, 1 Let k(z) = 2*z - 9. Let r be k(7). Let d = 3/7 + 1/14. Factor x**4 + d*x + 0 - x**2 - 1/2*x**r + 0*x**3. -x*(x - 1)**3*(x + 1)/2 Let k(r) = 3*r**4 - 5*r**3 + 5*r**2 - 3*r. Let g(q) = -q**3 + q**2. Let h(o) = -4*g(o) - k(o). Find i such that h(i) = 0. 0, 1 Suppose -1/3*q**3 + 5/3*q**2 + 4/3 - 8/3*q = 0. Calculate q. 1, 2 Let o(h) be the first derivative of -1/12*h**4 - 1/6*h**2 + 1/60*h**5 + 2*h + 1/6*h**3 - 3. Let v(m) be the first derivative of o(m). What is j in v(j) = 0? 1 Let w(r) be the third derivative of r**5/60 - r**4/8 - 5*r**2. Let p(c) = -1. Let h(z) = 6*p(z) - 3*w(z). Find o, given that h(o) = 0. 1, 2 Factor 75/2 - 27/2*m**2 + 3/2*m**3 + 45/2*m. 3*(m - 5)**2*(m + 1)/2 Let u(c) be the second derivative of -5*c + 1/3*c**2 + 1/30*c**5 + 0 - 1/9*c**3 - 1/18*c**4. Factor u(h). 2*(h - 1)**2*(h + 1)/3 Let q(f) be the first derivative of 0*f + 14/45*f**5 + 1/6*f**4 - 5/27*f**6 + 2/9*f**2 - 7 - 14/27*f**3. What is y in q(y) = 0? -1, 0, 2/5, 1 Let g = -34 - -34. Let o(u) be the second derivative of 1/126*u**7 + 0 + 0*u**4 - 1/45*u**6 + g*u**3 + 0*u**2 + 3*u + 1/60*u**5. Factor o(y). y**3*(y - 1)**2/3 Let i = 197/2 + -967/10. Let a = i - 13/10. Determine o, given that -a + 0*o + 0*o**3 + o**2 - 1/2*o**4 = 0. -1, 1 Let d(c) be the third derivative of c**8/112 + c**7/70 - 3*c**6/40 - c**5/4 - c**4/4 - 22*c**2. Factor d(x). 3*x*(x - 2)*(x + 1)**3 Let f(p) be the second derivative of -p**6/1440 - p**5/480 + p**3/6 + 2*p. Let s(k) be the second derivative of f(k). Determine b, given that s(b) = 0. -1, 0 Let v(s) = -6 - 2*s + s**3 + 4 + 4 - 10*s**2. Let y(m) be the first derivative of -m**4/4 + 5*m**3/3 + m**2/2 - m - 1. Let h(j) = -4*v(j) - 7*y(j). Factor h(o). (o + 1)**2*(3*o - 1) Let j(t) be the third derivative of -t**5/40 - 3*t**4/8 + 7*t**3/4 - 16*t**2. Factor j(l). -3*(l - 1)*(l + 7)/2 Let w = -2 - -2. Let q(g) be the third derivative of 0 - 1/735*g**7 + 0*g**6 - 2*g**2 + 0*g**3 + 0*g**5 + 0*g + w*g**4. Solve q(d) = 0. 0 Let o(k) be the first derivative of k**8/1680 - k**7/420 + k**5/60 - k**4/24 - k**3/3 - 1. Let i(a) be the third derivative of o(a). Factor i(y). (y - 1)**3*(y + 1) Let t(s) be the third derivative of -s**7/210 - s**6/60 + s**5/20 + s**4/3 + 2*s**3/3 + 12*s**2. Suppose t(d) = 0. Calculate d. -2, -1, 2 Factor 2/13*u**4 - 8/13*u**3 + 0 + 8/13*u**2 + 0*u. 2*u**2*(u - 2)**2/13 Let a(k) be the third derivative of -k**6/180 - k**5/60 - k**4/72 - 13*k**2. Solve a(w) = 0. -1, -1/2, 0 Suppose -81/4*s**5 - 3 - 18*s + 135/4*s**4 + 117/4*s**3 - 87/4*s**2 = 0. Calculate s. -2/3, -1/3, 1, 2 Suppose -17*x - 4*c = -15*x - 12, -4*c = 3*x - 12. Factor 0 + x*q + 1/3*q**4 + 0*q**2 + 0*q**3. q**4/3 Suppose 4*x - 32 = 3*x. Let i = x - 32. Let -1/2*w**3 + i + 0*w + 1/2*w**2 = 0. What is w? 0, 1 Let i(p) be the second derivative of 1/20*p**4 + 1/10*p**2 + 1/20*p**5 + 6*p + 0 - 1/6*p**3 - 2/75*p**6. Solve i(q) = 0 for q. -1, 1/4, 1 Factor 0*l + 0*l**3 + 0*l**2 - 2/9*l**4 + 0. -2*l**4/9 Find u such that -16/11*u + 2/11*u**5 + 2/11*u**2 + 14/11*u**3 - 10/11*u**4 + 8/11 = 0. -1, 1, 2 Let w(c) be the first derivative of -2 - 2/9*c - 2/27*c**3 - 2/9*c**2. Suppose w(s) = 0. What is s? -1 Let z(r) be the second derivative of -r**5/30 + r**4/9 - r**3/9 + 2*r. Suppose z(o) = 0. What is o? 0, 1 Let j(m) = -3*m**2 + 3*m - 11. Let n = -3 - 8. Let p(x) be the second derivative of -x**4/12 + x**3/6 - 2*x**2 + 5*x. Let h(k) = n*p(k) + 4*j(k). Factor h(g). -g*(g - 1) Let s(x) be the first derivative of -x**6/10 + x**4/4 - 4*x - 2. Let a(f) be the first derivative of s(f). Factor a(r). -3*r**2*(r - 1)*(r + 1) Let f(y) be the first derivative of 32/13*y - 32/13*y**2 - 2 + 2/65*y**5 + 16/13*y**3 - 4/13*y**4. Suppose f(q) = 0. What is q? 2 Solve -2/17*l - 2/17*l**2 + 0 = 0 for l. -1, 0 Let w(q) be the second derivative of q**6/15 - 13*q**5/40 + 5*q**4/8 - 7*q**3/12 + q**2/4 + 16*q. Let w(z) = 0. Calculate z. 1/4, 1 Let u(l) be the second derivative of -l**6/660 + l**4/44 - 2*l**3/33 - 5*l**2/2 + l. Let f(v) be the first derivative of u(v). Factor f(q). -2*(q - 1)**2*(q + 2)/11 Let j = -1240/9 - -138. Find i such that 0*i - 4/9*i**3 + j*i**4 + 0 + 2/9*i**2 = 0. 0, 1 Let r = 16 - 14. What is n in 15*n**2 + 3*n**3 + 0*n**3 - 15*n**r - 3*n**4 = 0? 0, 1 Let h(w) = -8*w**3 - 10*w**2 - 4*w - 2. Let n(v) = v**3 + v**2 + v + 1. Let m be (-48)/12 - (-1 - 2). Let x(l) = m*h(l) - 6*n(l). Suppose x(k) = 0. Calculate k. -2, -1, 1 Suppose 3*h = -h - 3*w + 333, 2*h - 3*w = 171. Let o be (8/10)/(h/30). Factor -2/7*f**2 + 0*f + o. -2*(f - 1)*(f + 1)/7 Let 81/7*t**2 + 12/7 - 60/7*t**3 + 72/7*t = 0. Calculate t. -2/5, -1/4, 2 Let -6*c**2 - 18*c**2 - 32*c**2 - 48*c**3 + 4*c**5 - 20*c - 8*c**4 = 0. Calculate c. -1, 0, 5 Let f = 14 - 10. Suppose r - f*j = -8, 2*r = -2*j - 2*j + 8. What is o in 16/9*o**4 + 2/3*o**5 + 4/9*o**2 + 14/9*o**3 + r + 0*o = 0? -1, -2/3, 0 Let r(s) be the second derivative of -s**6/50 - s**5/20 - s**4/30 - 6*s. Factor r(n). -n**2*(n + 1)*(3*n + 2)/5
Calculate the greatest common divisor of 998100 and 1980. 180 Calculate the highest common divisor of 10450615 and 1085. 35 Calculate the highest common divisor of 70650 and 84223278. 2826 Calculate the greatest common divisor of 37301 and 849112. 11 What is the highest common factor of 706210127 and 515? 103 Calculate the greatest common factor of 417201492 and 444. 444 What is the highest common factor of 57159 and 65105? 29 Calculate the highest common divisor of 22032395 and 71645. 3115 Calculate the greatest common divisor of 4338 and 130998924. 4338 What is the greatest common divisor of 32128 and 1623468? 1004 Calculate the highest common divisor of 47874 and 53246. 158 Calculate the highest common factor of 22709342 and 296. 74 Calculate the highest common divisor of 1380 and 1562232. 12 What is the highest common divisor of 8060719 and 126995? 2309 Calculate the greatest common factor of 44067170 and 98. 98 What is the greatest common divisor of 3018265 and 765? 85 Calculate the highest common divisor of 87041097 and 286. 143 What is the highest common factor of 112983 and 114034611? 8691 What is the highest common divisor of 508151 and 55158? 317 What is the highest common divisor of 20322373 and 776? 97 Calculate the highest common factor of 38340 and 313290. 90 Calculate the highest common divisor of 25365 and 78945. 285 What is the highest common divisor of 79 and 154613191? 79 Calculate the highest common factor of 356199465 and 8175. 1635 Calculate the greatest common divisor of 155 and 17796690. 5 Calculate the highest common divisor of 41105880 and 4590. 270 Calculate the greatest common factor of 12521 and 6004. 19 What is the highest common divisor of 683 and 301907173? 683 What is the highest common factor of 571705 and 2071775? 5245 What is the highest common factor of 176 and 76393372? 44 Calculate the highest common divisor of 996918 and 6318. 78 What is the highest common divisor of 13120048 and 2298? 766 Calculate the greatest common factor of 889 and 627599. 7 Calculate the greatest common divisor of 2940 and 261668820. 2940 Calculate the greatest common divisor of 2552 and 427526. 22 What is the highest common divisor of 58650 and 381300? 150 What is the highest common divisor of 777 and 1826727? 777 Calculate the greatest common factor of 57887 and 4902001. 541 Calculate the highest common factor of 666 and 4938723. 333 What is the greatest common factor of 1464039 and 99? 9 What is the highest common factor of 45842565 and 267? 267 What is the greatest common divisor of 2772124 and 52? 4 What is the greatest common factor of 321763374 and 5634? 5634 What is the greatest common factor of 186588739 and 172? 43 What is the greatest common divisor of 8099 and 6513109? 89 Calculate the highest common divisor of 837 and 1271511. 27 Calculate the greatest common factor of 68978 and 21658. 182 What is the highest common factor of 87180 and 320? 20 What is the greatest common factor of 10190529 and 81? 81 What is the highest common divisor of 128920 and 10888240? 440 What is the greatest common divisor of 901 and 1879197? 17 What is the highest common factor of 14 and 446168121? 7 Calculate the highest common divisor of 1489714 and 8159. 199 What is the highest common divisor of 177905 and 7015? 115 What is the greatest common divisor of 108185 and 262955? 385 Calculate the highest common divisor of 17227 and 615020. 161 What is the greatest common divisor of 162 and 4420113? 3 What is the highest common divisor of 27 and 81289374? 3 What is the greatest common factor of 1544 and 48817999? 193 Calculate the highest common divisor of 78215288 and 856. 856 Calculate the greatest common divisor of 32898476 and 338. 26 Calculate the greatest common factor of 180515 and 65965. 395 What is the greatest common factor of 2173 and 672517? 53 What is the greatest common divisor of 610227 and 252? 9 Calculate the greatest common divisor of 30298782 and 222. 222 What is the greatest common divisor of 799296 and 231104? 1472 What is the greatest common divisor of 901305 and 990? 45 Calculate the highest common factor of 23256 and 16639022. 646 What is the highest common divisor of 3217240 and 260? 260 What is the greatest common factor of 3182 and 213642662? 3182 What is the greatest common factor of 917 and 87454683? 131 Calculate the highest common divisor of 25434 and 140724. 54 Calculate the highest common factor of 235472 and 64. 16 What is the greatest common divisor of 47215 and 382664085? 6745 What is the greatest common divisor of 41923325 and 116525? 1975 Calculate the greatest common divisor of 98359 and 154939. 41 What is the greatest common divisor of 19687410 and 630? 90 Calculate the highest common factor of 565190 and 46030. 10 Calculate the highest common factor of 1938 and 259053429. 969 What is the highest common factor of 214132 and 705398? 34 What is the highest common factor of 64 and 258163392? 64 What is the highest common divisor of 124 and 311253268? 124 Calculate the greatest common divisor of 254000730 and 276. 138 Calculate the highest common factor of 20123345 and 93005. 4895 What is the highest common divisor of 622114 and 27136? 106 Calculate the highest common factor of 64384 and 17152. 128 What is the greatest common divisor of 22393935 and 930? 465 What is the highest common factor of 539700 and 3276? 84 Calculate the greatest common divisor of 5086356 and 1695. 339 What is the highest common divisor of 1079 and 360399? 13 Calculate the highest common divisor of 13886 and 584329823. 6943 What is the greatest common factor of 343962 and 3681732? 582 Calculate the highest common divisor of 25250 and 1165750. 250 What is the highest common divisor of 54232 and 91976? 8 What is the highest common factor of 16919265 and 1230? 615 What is the greatest common factor of 1039350 and 1053000? 1950 What is the greatest common factor of 292617 and 1044147? 1599 What is the greatest common divisor of 3834 and 280854? 54 What is the greatest common divisor of 9039 and 3427? 23 Calculate the greatest common divisor of 920256 and 1216. 64 Calculate the greatest common divisor of 1900 and 18316. 76 What is the greatest common divisor of 9831145 and 580? 145 What is the highest common divisor of 218120 and 172690? 70 Calculate the highest common factor of 8453096 and 8592. 1432 What is the greatest common divisor of 287030793 and 63? 21 Calculate the greatest common divisor of 268039 and 15181. 17 What is the highest common divisor of 1824 and 302130? 6 What is the greatest common divisor of 628360 and 1533335? 3415 Calculate the highest common divisor of 10445014 and 30. 2 Calculate the greatest common factor of 15368808 and 122580. 2724 What is the highest common factor of 326216 and 13951800? 2696 What is the greatest common factor of 107856008 and 494? 494 Calculate the greatest common divisor of 4305 and 12706515. 615 Calculate the greatest common factor of 122065812 and 11. 11 What is the greatest common divisor of 4423132 and 392? 196 Calculate the greatest common divisor of 168 and 19765144. 56 What is the highest common divisor of 19541975 and 950? 475 What is the highest common factor of 579 and 42823419? 579 What is the highest common factor of 1666945 and 14? 7 Calculate the highest common divisor of 19592592 and 256. 16 Calculate the greatest common factor of 311774821 and 2714. 1357 Calculate the highest common divisor of 333 and 36287343. 333 What is the highest common divisor of 87139486 and 434? 14 What is the highest common divisor of 4586264 and 2232? 248 Calculate the highest common divisor of 3197501712 and 2448. 2448 Calculate the greatest common factor of 4020 and 8209092. 12 Calculate the greatest common factor of 15434396 and 10612. 1516 Calculate the greatest common divisor of 23688 and 110594008. 2632 Calculate the highest common factor of 19593 and 53780608. 2177 Calculate the highest common factor of 256 and 12176768. 128 What is the highest common factor of 14625417 and 618660? 1473 What is the greatest common factor of 9981347 and 1051? 1051 Calculate the greatest common divisor of 5001415 and 2404255. 4705 Calculate the greatest common factor of 28560 and 10557. 51 Calculate the greatest common factor of 64977849 and 54. 27 What is the highest common factor of 164069712 and 3024? 432 What is the greatest common factor of 27968 and 845296? 368 What is the highest common factor of 440 and 11145530? 110 What is the highest common factor of 19788137 and 775? 31