ine a, given that g(a) = 0.
683
Let s(g) be the third derivative of -g**6/2160 - 7*g**5/60 - 49*g**4/4 - 43*g**3/6 - 3*g**2 + 5. Let k(q) be the first derivative of s(q). Factor k(f).
-(f + 42)**2/6
Let b(c) = -c**3 - 8*c**2 - 5*c + 16. Let q be b(-7). Let 3*k**3 - 38*k**2 - 3993 + 7*k**2 + 1089*k - 29*k**q - 39*k**2 = 0. Calculate k.
11
Let h be (17 + -10)*((-18)/(-14) - 1). Let 4 - 222*c - c**2 + 230*c + 3*c**2 + 2*c**h = 0. What is c?
-1
Let v(l) be the third derivative of -l**9/3024 + l**7/210 + 41*l**3 - 236*l**2. Let s(b) be the first derivative of v(b). Find c such that s(c) = 0.
-2, 0, 2
Suppose -5239*l + 2673*l + 2288*l + 276 + 2*l**2 = 0. Calculate l.
1, 138
Factor -22*k**5 + 60*k**5 - 12*k**5 - 264*k**3 - 22*k**5 - 124*k**4.
4*k**3*(k - 33)*(k + 2)
Let c(b) be the third derivative of 0 - 1/120*b**6 + 0*b - 1/4*b**5 + 81/2*b**3 - 30*b**2 - 9/8*b**4. What is f in c(f) = 0?
-9, 3
Let z(o) = -3*o**3 + 20*o**2 + 1092*o + 66. Let l be z(-16). Suppose 1/8*n + 1/4*n**4 + 1/2*n**l + 5/8*n**3 + 0 = 0. Calculate n.
-1, -1/2, 0
Let g = 149 - 19. Suppose 1108*a - 1130*a - 3 = -47. Factor -133*j**2 - 20*j - g*j**2 + 268*j**a.
5*j*(j - 4)
Let z = 12962/3 + -4319. Let m(g) be the first derivative of 4/15*g**5 + z*g**4 + 8/3*g**2 + g + 29/9*g**3 + 3. Solve m(y) = 0 for y.
-3, -1, -1/2
Let l(q) be the first derivative of 1/20*q**4 - 3/10*q**3 + 7 + 7*q + 0*q**2. Let o(a) be the first derivative of l(a). Factor o(v).
3*v*(v - 3)/5
Let c be ((-2)/(-4))/1*(-1410 - -22). Let j = c + 696. Factor 60/7*i**2 - 72/7*i - j*i**3 + 16/7.
-2*(i - 2)**2*(7*i - 2)/7
Let b = 152 + -465. Let f = b + 317. Solve 0 - 20/3*g**3 - 4/3*g**f + 4/3*g**2 + 8/3*g + 4*g**5 = 0 for g.
-1, -2/3, 0, 1
Let p(j) = -135*j - 68. Let a(o) = 27*o + 15. Let l(m) = 11*a(m) + 2*p(m). Let y be l(-1). Determine x, given that 2/3*x - 1/3 - 1/3*x**y = 0.
1
Suppose -1690*o = -1695*o + 5. Suppose 16*w = o + 47. Factor 12/5 + 1/5*n**w + 16/5*n + 7/5*n**2.
(n + 2)**2*(n + 3)/5
Suppose -64/3*g**2 - 188/9 + 42*g + 2/9*g**3 = 0. What is g?
1, 94
Let u be -1*(-9)/(-3) - 65610/(-21843). Let p = 797/3236 + u. Let -25/4 - p*v**2 - 5/2*v = 0. What is v?
-5
Let g(m) be the first derivative of 6*m**3/13 - 163*m**2/13 + 340*m/13 + 4805. Factor g(k).
2*(k - 17)*(9*k - 10)/13
Factor 20/11*o**2 + 2/11*o**3 - 78/11*o - 360/11.
2*(o - 5)*(o + 3)*(o + 12)/11
Let q(u) = 46*u**3 + 367*u**2 + 2199*u + 3297. Let w(j) = -22*j**3 - 184*j**2 - 1100*j - 1648. Let z(n) = 10*q(n) + 21*w(n). Suppose z(f) = 0. What is f?
-91, -3
Let y(b) = 11*b**2 - 125*b - 329. Let i(k) = -18*k**2 + 188*k + 494. Let o(t) = 5*i(t) + 8*y(t). Determine u so that o(u) = 0.
-27, -3
Let s be (38/4)/(35/14). Let i be (98/154)/((-85)/(-187)). Factor 8/5*p**2 + 0 + i*p**4 + 4/5*p - s*p**3.
p*(p - 2)*(p - 1)*(7*p + 2)/5
Let c be (-72)/126 + (-180)/(-21). Solve -1166 + c*q**2 - 70*q + 1150 + q**2 = 0 for q.
-2/9, 8
Let b = 9365/2 + -4682. Let m(l) be the first derivative of -b*l**4 - 22 + 0*l - 8/3*l**3 + 0*l**2. Find z, given that m(z) = 0.
-4, 0
Suppose 1018*s - 1015*s - 18 = 0. Suppose -s*x + 1112*x**2 + 3*x - 1111*x**2 - 4*x + 12 = 0. Calculate x.
3, 4
Let l(c) be the first derivative of c**6/12 - 3*c**5/5 - 9*c**4 - 9*c**3 + 567*c**2/4 + 486*c + 2459. What is u in l(u) = 0?
-3, 3, 12
Let p be 406/(-1131)*(-294)/(-8). Let k = -152/13 - p. Suppose 1/6*l**2 + k + 5/3*l = 0. Calculate l.
-9, -1
Let q be -1348*(-18)/(-81) + 4/(-18). Let m = 300 + q. Determine y, given that m*y**3 + 2 - 10/9*y**2 + 2/3*y = 0.
-1, 3
Let l = 425 - 415. Factor 3*i**2 - 3*i + l*i - 36 + 25*i - 6*i + 7*i.
3*(i - 1)*(i + 12)
Let a(m) be the second derivative of m**5 - 115*m**4/4 - 275*m**3/6 + 45*m**2 - 238*m. Determine n so that a(n) = 0.
-1, 1/4, 18
Let g = 1814560 - 9072776/5. Determine a, given that g - 24/5*a**2 + 4/5*a**3 - 4/5*a = 0.
-1, 1, 6
Let z(k) be the first derivative of 30*k - 18 + 25/2*k**2 - k**5 - 25/3*k**3 - 25/4*k**4. Let z(x) = 0. What is x?
-3, -2, -1, 1
Let q(z) be the second derivative of -1/2*z**4 - 1/10*z**6 - 2*z**3 + 3/5*z**5 + z + 9/2*z**2 + 7. Factor q(d).
-3*(d - 3)*(d - 1)**2*(d + 1)
Let t be (-3094)/(-152) + (64/2432)/((-1)/4). Factor -1/4*l**2 - 9/2*l - t.
-(l + 9)**2/4
Let 1152*j + 195*j**4 + 2*j**5 - 864 + 2112*j**2 + 63*j**4 - 92*j**4 + 952*j**3 + 8*j**5 = 0. Calculate j.
-6, -3, -2, 2/5
Let g(u) be the third derivative of -u**6/120 + u**5/12 - u**4/6 + 4007*u**2. Solve g(s) = 0.
0, 1, 4
Let a(s) be the first derivative of s**3/6 + 155*s**2/2 + 308*s + 1934. Factor a(z).
(z + 2)*(z + 308)/2
Let a(v) be the second derivative of -v**6/360 - v**5/90 + v**4/24 - 29*v**2 + 6*v + 3. Let u(i) be the first derivative of a(i). Factor u(m).
-m*(m - 1)*(m + 3)/3
Find y, given that -6/11*y**5 + 0*y**2 - 1116/11*y**3 + 0 + 570/11*y**4 + 0*y = 0.
0, 2, 93
Factor 72*t**2 + 2050 - 2*t**3 - 1984 - t**3 - 139*t + 4*t.
-3*(t - 22)*(t - 1)**2
Factor -18*m**2 - 44*m**3 - 44*m**3 + 243*m**4 - 233*m**4.
2*m**2*(m - 9)*(5*m + 1)
Let s = 898170 + -6287123/7. Solve -s*k**2 + 1/7*k**3 + 1156/7 + 1088/7*k = 0 for k.
-1, 34
Let x be ((-10)/(-6))/(40/144). Suppose -b = -c - 2, -5*c - x - 2 = -4*b. Solve 0*n**2 - 12*n**2 + 2*n**3 + 5*n**4 + 3*n**3 + b*n**2 = 0.
-2, 0, 1
Let k = -76 + 17. Let r = k + 67. Suppose 4 + 2*n**3 - r*n**2 - 7*n - 3 + 7 + 5*n = 0. What is n?
-1, 1, 4
Suppose -624*f**2 - 3*f**4 + 55*f**3 + 119862 + 83*f**3 - 118755 + 342*f = 0. What is f?
-1, 3, 41
Let v = 1661 + -1637. Let a be 11/v - ((-299)/(-39))/23. Factor 0*c + 1/4*c**2 + 0 - 1/8*c**4 - a*c**3.
-c**2*(c - 1)*(c + 2)/8
Factor -39/2*m**2 + 1/2*m**3 + 180*m + 200.
(m - 20)**2*(m + 1)/2
Let w(n) = -2*n**2 - 7*n - 1. Let f(s) = 5*s**4 - 25*s**3 + 3*s**2 + 3*s - 6. Let l(r) = f(r) - 6*w(r). Determine c so that l(c) = 0.
-1, 0, 3
Let i(o) be the second derivative of 1/8*o**4 - 103*o - 7/4*o**3 + 0 - 6*o**2. Determine u, given that i(u) = 0.
-1, 8
Let f be (((-2492)/105)/4 + 6)*(6 + -5). Let n(x) be the third derivative of 2/3*x**3 + 1/3*x**4 + 0 + 3*x**2 + f*x**5 + 0*x. Suppose n(o) = 0. What is o?
-1
Let b(s) be the second derivative of 3*s**5/20 + 19*s**4/4 + 60*s**3 + 378*s**2 + 26*s + 2. Factor b(n).
3*(n + 6)**2*(n + 7)
Let n(m) be the first derivative of 0*m + 21 + 1/72*m**6 - 1/3*m**5 + 0*m**2 + 5/2*m**4 - 1/3*m**3. Let k(f) be the third derivative of n(f). Factor k(t).
5*(t - 6)*(t - 2)
Let w(m) be the second derivative of -4*m**5/35 - 43*m**4/42 - 5*m**3/7 - 2*m - 155. Factor w(v).
-2*v*(v + 5)*(8*v + 3)/7
Let i be (-6)/(-270)*(-80)/(-100) + (-4)/(-18). Let w(t) be the second derivative of 0*t**2 + 0 - 2/15*t**4 + 4*t - 1/15*t**6 + 0*t**3 + i*t**5. Factor w(g).
-2*g**2*(g - 2)*(5*g - 2)/5
Let z(d) be the third derivative of -d**5/210 + 4*d**4/21 - 55*d**3/21 + 523*d**2. Suppose z(q) = 0. What is q?
5, 11
Let l be (-4060)/(-105) - (3/(-3))/3. Let p be 59/l + (168/156)/7. Factor 0 + 0*r + 5/3*r**2 - p*r**3.
-5*r**2*(r - 1)/3
Suppose -224*q = -225*q + 3. Determine c, given that 96*c - q*c**5 + 52*c**4 - 61*c**4 + 50*c**2 + 15*c**3 + 36 + 31*c**2 = 0.
-2, -1, 3
Let 972 - 70*o**3 - 4/3*o**4 + 1530*o - 2588/3*o**2 = 0. What is o?
-27, -1/2, 2
Let j(n) be the first derivative of -15/4*n + 5 - 1/8*n**3 + 21/16*n**2. Find t such that j(t) = 0.
2, 5
Let b(g) be the second derivative of -g**5/60 + 117*g**4/4 - 92225*g**3/6 - 277729*g**2/6 + 29*g + 4. Factor b(x).
-(x - 527)**2*(x + 1)/3
Let t(h) be the third derivative of h**7/1470 - h**6/210 - 12*h**3 + 10*h**2 - 5. Let m(z) be the first derivative of t(z). Factor m(r).
4*r**2*(r - 3)/7
Let j(n) be the third derivative of -1/8*n**4 + 0*n - 6*n**3 + 145*n**2 + 1/40*n**6 + 3/5*n**5 + 0. Factor j(x).
3*(x - 1)*(x + 1)*(x + 12)
Suppose 5*c + 3*m = -m + 1892, -12 = -4*m. Factor -c*x**4 + 386*x**4 - 19*x**5 + 9*x**3 - 4*x**3 + 4*x**5.
-5*x**3*(x - 1)*(3*x + 1)
Suppose 36*d + 36 = 54*d. Factor 1002*n**2 - 5184*n**5 - 191*n - 256*n - 5242*n**d - 15264*n**4 + 110*n - 63*n - 14116*n**3.
-4*n*(4*n + 5)**2*(9*n + 2)**2
Let v(k) be the third derivative of -1/30*k**4 + 0*k + 1/1050*k**7 + 1/1680*k**8 - 3/200*k**6 - 36 + 11/300*k**5 - k**2 + 0*k**3. Suppose v(b) = 0. What is b?
-4, 0, 1
Let m(q) be the first derivative of 1/21*q**6 - 23 + 0*q - 8/35*q**5 + 0*q**2 + 5/14*q**4 - 4/21*q**3. Let m(j) = 0. Calculate j.
0, 1, 2
Let o = -96675 - -96675. Find n, giv