(o) + 2*i(o). Determine g so that u(g) = 0.
-6, 2
Let p = -301 + 91. Let f = -208 - p. Determine w so that -2/13 - 30/13*w**f - 18/13*w - 14/13*w**3 = 0.
-1, -1/7
Determine p so that 16*p - 5*p**2 + 0*p**2 + 205 - 116*p - 100*p = 0.
-41, 1
Let l(p) be the second derivative of -2*p + 0 + 1/96*p**4 + 1/240*p**5 - 1/12*p**3 - 2*p**2. Let c(a) be the first derivative of l(a). Factor c(o).
(o - 1)*(o + 2)/4
Suppose 7*s - 24 = 3*s. Let w = 14 + s. Factor 11*k**4 + 4*k**4 - w*k**2 + 13*k**4 - 32*k**3 - 4*k**3 + 36*k - 8.
4*(k - 1)**2*(k + 1)*(7*k - 2)
Let k(v) be the first derivative of 7*v**6/3 + 144*v**5/5 + 66*v**4 - 1196*v**3/3 - 1755*v**2 - 900*v + 746. Suppose k(f) = 0. Calculate f.
-5, -3, -2/7, 3
Let r = -144679/3326 - 1/1663. Let q = r - -44. Factor -q - 3/4*y - 1/4*y**2.
-(y + 1)*(y + 2)/4
Let y(q) be the first derivative of q**6/120 + 11*q**5/120 + q**4/4 - 5*q**3/3 - 43. Let z(o) be the third derivative of y(o). Factor z(c).
(c + 3)*(3*c + 2)
Let n = -45 + 43. Let p(h) = -3*h**3 + 20*h**2 + 55*h + 32. Let v(l) = 11*l**3 - 80*l**2 - 220*l - 129. Let a(i) = n*v(i) - 9*p(i). Solve a(x) = 0 for x.
-1, 6
Suppose -3*o - 22 = -3*t - 1, -t - 13 = 3*o. Determine b, given that 256 + 2*b**3 - 60*b**t + 312*b - 120*b + 2*b**3 = 0.
-1, 8
Solve -1/11*c**2 + 2/11*c + 15/11 = 0.
-3, 5
Suppose 6/11*f + 2/11*f**2 + 4/11 = 0. What is f?
-2, -1
Let l(p) be the third derivative of 1030301*p**6/160 + 30603*p**5/40 + 303*p**4/8 + p**3 + 4*p**2 - 13*p. What is f in l(f) = 0?
-2/101
Let b(d) be the first derivative of -2*d**3/3 - 5*d**2 + 48*d + 97. Factor b(k).
-2*(k - 3)*(k + 8)
Let j(h) be the second derivative of -35*h**7/6 + 217*h**6/6 + 185*h**5/4 - 985*h**4/12 - 340*h**3/3 - 50*h**2 - 29*h + 2. Find q, given that j(q) = 0.
-1, -2/7, 1, 5
Let o(r) = -r**4 + r**3 - 2*r**2 - r + 1. Let z(k) = 25*k**3 - 105*k**2 + 122*k - 38. Let f(n) = -2*o(n) - z(n). Suppose f(d) = 0. Calculate d.
1/2, 1, 6
Let r(k) be the third derivative of -k**8/336 - 2*k**7/105 - k**6/40 + k**5/15 + k**4/6 + 172*k**2. Factor r(l).
-l*(l - 1)*(l + 1)*(l + 2)**2
Let j(z) be the second derivative of z**5/20 + z**4/3 + 2*z**3/3 + 2*z - 294. Solve j(f) = 0 for f.
-2, 0
Factor 52*o**4 - 1198*o**2 + 179*o**3 + 1246*o**2 - 288*o + 5*o**3 + 4*o**5.
4*o*(o - 1)*(o + 2)*(o + 6)**2
Let m be (8 + -20 - -15) + -3. Factor 0 + 0*f - 4/7*f**5 + m*f**3 + 0*f**2 + 0*f**4.
-4*f**5/7
Let q(c) = 5*c**5 - c**4 - 5*c**3 + c**2 - c - 1. Let t(o) = o**5 - o**4 - o**3 + o**2 - o - 1. Let n(h) = -q(h) + t(h). Factor n(s).
-4*s**3*(s - 1)*(s + 1)
Let r(w) = 4*w**3 + 66*w**2 + 89*w - 13. Let d be r(-15). Factor -1/3*g**4 - 8/3*g + 4/3 + g**d + 2/3*g**3.
-(g - 2)*(g - 1)**2*(g + 2)/3
What is g in 3/5*g**2 - 24/5*g - 36/5 + 3/5*g**3 = 0?
-2, 3
Let m(v) = -v**3 + 17*v**2 - 49*v - 102. Let c be m(6). Let q be 4/3*3/10. Find b, given that 8/5*b**3 - q*b**2 + c*b + 0 = 0.
0, 1/4
Let t(u) be the third derivative of -u**7/35 - u**6/6 + 3*u**5/10 + u**4/3 + 2*u**2 - 12. Factor t(v).
-2*v*(v - 1)*(v + 4)*(3*v + 1)
Let j(s) be the third derivative of s**7/245 - s**6/210 - 2*s**5/35 + 2*s**4/21 + 2*s**2 + 79*s. What is u in j(u) = 0?
-2, 0, 2/3, 2
Let 9*n**2 - 12*n**2 + 24*n**2 + 49*n**2 - 5*n**3 - 65*n = 0. Calculate n.
0, 1, 13
Factor 13 - 11*o + 1 + 3*o**2 + 13 - 7*o.
3*(o - 3)**2
Let w = 4 + 0. Let n(g) = -4*g**3 + g**2 + g + 1. Let c be n(-1). Determine v so that -2*v**4 - w*v**4 + 0*v**4 + 6*v**2 - 4*v**c + 2*v + 2*v**3 = 0.
-1, -1/2, 0, 1
Let c(b) be the second derivative of -4*b**7/21 - 5*b**6/3 - 53*b**5/10 - 47*b**4/6 - 5*b**3 + 173*b - 1. Determine y, given that c(y) = 0.
-3, -5/4, -1, 0
Let l(r) be the third derivative of 1/84*r**6 + 0*r**4 + 4/735*r**7 + 17*r**2 + 0*r**3 + 1/105*r**5 + 0*r + 1/1176*r**8 + 0. Suppose l(z) = 0. Calculate z.
-2, -1, 0
Let z(p) be the third derivative of 0*p**3 - 1/112*p**8 + 0*p**6 + 0*p + 0*p**5 + 0 + 0*p**4 + 1/70*p**7 - 13*p**2. Factor z(o).
-3*o**4*(o - 1)
Let i = -5/28 + 127/84. Solve -4/3*x**4 - i*x**2 + 0 - 1/3*x - 1/3*x**5 - 2*x**3 = 0.
-1, 0
Let p be 1/(-2)*(-1 + -5 + 4). Let w(v) = -v**2 - 2*v + 3. Let t be w(p). Factor t + 1/3*a - 2/3*a**2 + 0*a**3 - 1/3*a**5 + 2/3*a**4.
-a*(a - 1)**3*(a + 1)/3
Factor 2742*n**2 - 50*n**4 - 430*n**2 + 768*n + 1752*n**3 - 32*n**4 - 42*n**4 + 142*n**4.
2*n*(n + 96)*(3*n + 2)**2
Suppose -i + 3 = -2*i. Let o be ((-8)/(-3))/((-1)/i). Factor o - 10*n**2 + 4*n + n**4 - n**5 + 4*n - n**3 - 4*n + 3*n**4.
-(n - 2)**3*(n + 1)**2
Let j = 116638/86751 - -2/86751. Let b = j + -18/17. Find g such that 0 - 4/7*g - b*g**2 = 0.
-2, 0
Let s(m) be the first derivative of -m**6/720 - m**5/360 + m**4/72 - 9*m**2/2 + 7. Let h(p) be the second derivative of s(p). Determine u so that h(u) = 0.
-2, 0, 1
Suppose 8/3*d**2 + 0 - 8/3*d**4 + 10/3*d + 2/3*d**5 - 4*d**3 = 0. Calculate d.
-1, 0, 1, 5
Let w = 26217/1070 - 1/535. Let n(m) be the second derivative of w*m**5 + 28*m**4 + 0 + 343/60*m**6 + 44/3*m**3 - 6*m + 4*m**2. Factor n(y).
(y + 2)*(7*y + 2)**3/2
Find z, given that 10/9*z**2 - 20/9 - 46/9*z = 0.
-2/5, 5
Suppose 144*y - 3*y**2 + 0*y**2 - 198*y - 240 = 0. Calculate y.
-10, -8
Let b(d) = -d**2 + 18*d + 2323. Let i be b(-40). Solve 8/9 + 8/9*a**4 + 74/9*a**2 - 14/3*a - 16/3*a**i = 0 for a.
1/2, 1, 4
Let s(o) be the third derivative of -o**5/180 + 25*o**4/18 + 507*o**2. Factor s(x).
-x*(x - 100)/3
Let t(l) = -10*l**2 - 25*l. Let n(s) = -5*s**2 - 12*s. Suppose -5*p = -2*a - 1, 3*p - 4 = -p. Let q(k) = a*t(k) - 5*n(k). Factor q(h).
5*h*(h + 2)
Let p be -4 - ((-105)/210 - -14*2/(-8)). Factor p + 0*k - 1/11*k**2 + 1/11*k**4 + 1/11*k**5 - 1/11*k**3.
k**2*(k - 1)*(k + 1)**2/11
Let k(n) = 6 - n**2 + 0*n + 9*n - 18. Let d(w) = 2*w**2 - 17*w + 23. Let z(v) = -3*d(v) - 5*k(v). Factor z(f).
-(f - 3)**2
Suppose 3*a = -86 + 95. Let d(l) be the first derivative of 0*l**2 + 1/6*l**6 + 1/5*l**5 - 1/4*l**4 + 0*l + 4 - 1/3*l**a. Factor d(n).
n**2*(n - 1)*(n + 1)**2
Let a(m) be the third derivative of m**5/20 - 46*m**4 + 16928*m**3 - 4*m**2 - 13*m. Factor a(f).
3*(f - 184)**2
Let l(i) be the third derivative of i**7/1575 - 7*i**6/2700 - 7*i**5/450 - i**4/60 - i**3/3 - 2*i**2. Let b(v) be the first derivative of l(v). Factor b(j).
2*(j - 3)*(j + 1)*(4*j + 1)/15
Let n(v) be the first derivative of v**5/2 + 3*v**4/8 - v**3/3 - 78. Solve n(w) = 0.
-1, 0, 2/5
Let q(b) = -16*b**2 - 8*b + 7. Let y be q(2). Let a = -364/5 - y. Find o such that 0 + 1/5*o**3 + a*o**5 + 0*o + 0*o**2 + 2/5*o**4 = 0.
-1, 0
Let k(p) be the third derivative of p**7/140 - p**6/10 + 3*p**5/8 + p**4/2 - 4*p**3 - p**2 + p. Suppose k(m) = 0. What is m?
-1, 1, 4
Let v(m) be the second derivative of -m + 7/90*m**5 - 4/9*m**2 - 16/27*m**3 - 5/54*m**4 + 0. Solve v(g) = 0 for g.
-1, -2/7, 2
Let j(u) be the third derivative of 0 + 0*u + 1/280*u**7 - 3/80*u**6 + 13*u**2 + 3/20*u**5 - 5/16*u**4 + 3/8*u**3. Factor j(g).
3*(g - 3)*(g - 1)**3/4
Let v(c) be the first derivative of 1/10*c**5 - 10 + 0*c**3 + 0*c + 1/4*c**4 + 0*c**2. What is w in v(w) = 0?
-2, 0
Suppose -4 = 5*i - 9, 3*h + 2*i = 2. Suppose -b - 6 + 9 = h. Find m, given that 3/2*m**3 + 0 + b*m + 9/2*m**2 = 0.
-2, -1, 0
Let z(c) be the first derivative of -8/5*c**2 + 32/5*c + 2/15*c**3 + 31. Suppose z(a) = 0. What is a?
4
Let i(j) be the first derivative of j**5/10 - 31*j**4/6 + 85*j**3 - 225*j**2 - 49*j + 37. Let k(t) be the first derivative of i(t). What is q in k(q) = 0?
1, 15
Let c(n) be the third derivative of -n**5/105 + 8*n**3/21 - 40*n**2. Factor c(p).
-4*(p - 2)*(p + 2)/7
Let w(o) be the first derivative of -o**5/510 - o**4/34 - 3*o**3/17 - 2*o**2 + 9. Let r(z) be the second derivative of w(z). Factor r(q).
-2*(q + 3)**2/17
Let a(x) be the first derivative of -1/36*x**4 - 4*x**3 + 0*x**2 + 1/60*x**5 - 9 + 0*x - 1/240*x**6. Let v(c) be the third derivative of a(c). Factor v(y).
-(3*y - 2)**2/6
Let r(n) = n**5 + 16*n**4 - 16*n**3 - 6*n**2 + 7*n - 10. Let y(j) = 3*j**5 + 33*j**4 - 33*j**3 - 12*j**2 + 12*j - 21. Let h(w) = -9*r(w) + 4*y(w). Factor h(s).
3*(s - 2)*(s - 1)**3*(s + 1)
Let y(m) be the first derivative of -5*m**3/3 + 5*m**2/2 + 150*m + 564. What is v in y(v) = 0?
-5, 6
Let i be (-40)/(-84)*420/150. Factor -4/3*m**4 - 2/3*m**5 + 0 + 0*m**3 + i*m**2 + 2/3*m.
-2*m*(m - 1)*(m + 1)**3/3
Suppose -17*y = -12*y + 485. Let c = y - -293/3. Factor 0 - c*u**4 +