g(j) be the third derivative of -j**5/20 - 235*j**4/4 - 55225*j**3/2 - 9*j**2 + 39*j. Factor g(t).
-3*(t + 235)**2
Let l be 17848/1940 + 124/(-20). Suppose 9/4*m**l + 9/4*m**2 + 3/4*m**4 + 3/4*m + 0 = 0. What is m?
-1, 0
Let j(v) = -v**3 + 111*v**2 - 92*v - 1976. Let w be j(110). Let f(o) be the second derivative of -o**2 + 0 + 9/10*o**3 + 5*o - 1/12*o**w. Factor f(n).
-(n - 5)*(5*n - 2)/5
Let k(w) be the first derivative of -3*w**6 + 184*w**5/5 - 137*w**4/2 - 1028*w**3/3 - 204*w**2 + 144*w + 28. Let k(u) = 0. Calculate u.
-1, 2/9, 6
Let u(g) = 3*g**2 + 27*g + 2. Let b be -2*(11/2 + -1). Let p be u(b). Factor 5*a**p - 29*a + 13*a - a**2 + 6 + 6.
4*(a - 3)*(a - 1)
Let t be 3*(334 - (-9)/9). Let q = -1003 + t. Factor 2*k - 16/9 - 2/9*k**q.
-2*(k - 8)*(k - 1)/9
Let b(o) be the third derivative of 9 - 1/4*o**4 + 1/120*o**5 + 0*o + 2*o**2 + 11/12*o**3. Factor b(m).
(m - 11)*(m - 1)/2
Let m(c) = -43*c + 88. Let z be m(4). Let u be (16/z)/((-23)/46). Determine q, given that 10/21 - 2/21*q**2 + u*q = 0.
-1, 5
Let -253*z**4 + 19*z**2 + 6*z**3 + 56*z + 29*z**2 + 251*z**4 = 0. What is z?
-2, 0, 7
Suppose 31*q - 36*q + 110 = 0. Suppose 52 - q = 6*z. What is r in -20*r**z - 8*r**5 - 68*r**2 + 18*r**5 + 8*r - 106*r**3 - 56*r**4 + 16 = 0?
-2, -1, 2/5
Let k(y) be the first derivative of -2*y**3/69 + 25*y**2/23 - 48*y/23 - 691. Factor k(s).
-2*(s - 24)*(s - 1)/23
Let y(g) = -14*g + 144. Let z be y(10). Factor 29 - 4*k**2 - 126*k - 2*k**2 - z*k + 15.
-2*(k + 22)*(3*k - 1)
Let v(n) be the first derivative of -5*n**6/6 + n**5 + 5*n**4/4 - 5*n**3/3 + 2424. Determine i so that v(i) = 0.
-1, 0, 1
Factor 5/4*k**3 - 12 - 20*k + 3/4*k**2.
(k - 4)*(k + 4)*(5*k + 3)/4
Let g(t) = -17*t**3 + 2*t**2 - 1. Let z be g(-1). Let q = 22 - z. Factor -4*j**4 - 6*j**3 + 14*j**4 - 8*j**q + 8*j.
2*j*(j - 2)**2*(j + 1)
Let m(o) be the first derivative of -75 + 2/45*o**5 - 2/3*o**4 + 104/27*o**3 - 32/3*o**2 + 128/9*o. Factor m(a).
2*(a - 4)**2*(a - 2)**2/9
Suppose 135*o = 74*o - 5368. Let v be (2*9/(-84))/(22/o). Factor 0*c + 0 + v*c**3 + 0*c**2 + 3/7*c**5 - 9/7*c**4.
3*c**3*(c - 2)*(c - 1)/7
Determine q so that -3*q**5 + 40/3*q**2 - 16/3 + 44/3*q - 18*q**4 - 65/3*q**3 = 0.
-4, -2, -1, 1/3, 2/3
Let n(p) be the second derivative of -p**8/840 + p**6/150 - p**4/60 - 63*p**2/2 - 8*p - 3. Let k(b) be the first derivative of n(b). Let k(c) = 0. What is c?
-1, 0, 1
Let z be ((6/(-66))/(10/840*4) - 9)*-60. Factor -z + 240/11*u - 2/11*u**2.
-2*(u - 60)**2/11
Let n(l) be the first derivative of -l**6/90 + 2*l**5/5 - 16*l**4/3 + 256*l**3/9 + 6*l**2 + 61. Let h(d) be the second derivative of n(d). Factor h(b).
-4*(b - 8)**2*(b - 2)/3
Let y(s) be the third derivative of -s**5/180 + s**4/18 - 2*s**3/9 + 3*s**2 - 11. Find i such that y(i) = 0.
2
Let g(n) be the first derivative of -n**6 - 224*n**5/5 + 158*n**4 - 320*n**3/3 + 133. Suppose g(r) = 0. What is r?
-40, 0, 2/3, 2
Suppose -x - 194 = x. Let j = x + 99. Determine b so that 12 + b**5 + 4*b**3 - j*b**2 - 10 - 4 - 5*b + 4*b**4 = 0.
-2, -1, 1
Let v be (-10)/9*3*(3195/(-90) + 34). Let y(l) be the third derivative of 0*l + 0*l**4 + 0*l**3 - 1/30*l**v - 1/105*l**7 + 0 + 1/30*l**6 + 25*l**2. Factor y(z).
-2*z**2*(z - 1)**2
Suppose 52 = 4*x + 4*f, x - 6*f = -3*f + 33. Suppose x*r**2 - 1871*r + 1871*r + r**3 - 5*r**2 = 0. What is r?
-13, 0
Let k(z) = -5*z**2 - 11*z**3 - 9 + 25*z**3 - 13*z**3 + 7*z. Let o be k(4). Factor x**o + x**5 - 9*x**4 - x**2 + x**4 - 2*x**5 + 9*x**4.
-x**2*(x - 1)**2*(x + 1)
Let v(z) be the first derivative of -z**4/3 - 2*z**3/3 - 116*z + 4. Let g(s) be the first derivative of v(s). Determine k so that g(k) = 0.
-1, 0
Let x = -108 - -87. Let y = 9 - x. Suppose 864*i**3 - 15*i + y*i**2 - 80*i**2 - 879*i**3 = 0. What is i?
-3, -1/3, 0
Suppose -312*o**3 + 2348*o**2 - 8*o + 1460*o + 764*o**3 + o**4 + 5*o**4 - 4248 - 10*o**4 = 0. What is o?
-3, 1, 118
Let v = -2075 - -2086. Let m(r) be the second derivative of 1/3*r**4 - v*r + 0*r**2 - 4/3*r**3 + 0. Solve m(w) = 0 for w.
0, 2
Let u(n) be the second derivative of n**7/840 - n**6/240 - n**5/48 + n**4/16 - 47*n**2 - 128*n. Let h(r) be the first derivative of u(r). Factor h(o).
o*(o - 3)*(o - 1)*(o + 2)/4
Determine m so that -18/7*m**3 + 40/7 + 114/7*m**2 - 128/7*m = 0.
2/3, 5
Let n be ((-4)/(-6))/((-6)/(-18)). Suppose 0 = 3*x - n*x - 2. Factor 44*u + 2*u**3 + x*u**3 - 15*u**2 + 0*u**2 - 13*u**2 - 20.
4*(u - 5)*(u - 1)**2
Let r(z) = -z - 11. Let p be r(-13). Suppose -h + 4 = 3*l, -3*l - 6*h = -4*h - p. Factor 3*y**l + 4*y**4 + 7*y**3 + y**4 + y**2 + y**3 + y**5.
y**2*(y + 1)*(y + 2)**2
Suppose 27 - 100 = -52*u + 31. Suppose -54/11*v**3 + 0 - 2/11*v - 50/11*v**4 - 16/11*v**5 - 2*v**u = 0. Calculate v.
-1, -1/8, 0
Let m(p) be the first derivative of 1/3*p**3 + 0*p + 6*p**2 + 72. Factor m(l).
l*(l + 12)
Let o(i) be the second derivative of -i**7/756 - i**6/144 - i**5/72 - i**4/12 + 7*i**3/2 - 44*i + 2. Let v(p) be the third derivative of o(p). Factor v(n).
-5*(n + 1)*(2*n + 1)/3
Let i = -39392/9 + 4377. Let c(g) be the second derivative of -i*g**4 + 0 - 1/60*g**5 - 1/3*g**2 - 5/18*g**3 - 8*g. What is d in c(d) = 0?
-2, -1
Suppose 2*b - 2*f + 4 = 0, -149*b - 14 = -148*b - 4*f. Find s such that -16/3 + 4*s + 4/3*s**b = 0.
-4, 1
Let u(a) = -29*a**3 + 21371*a**2 - 68*a - 17. Let s(i) = 10*i**3 - 7122*i**2 + 24*i + 6. Let h(b) = -17*s(b) - 6*u(b). Solve h(j) = 0.
0, 1788
Let s = -14 + 8. Let i(r) = -5*r - 30. Let n be i(s). Factor -4*l - 5*l + n*l - 13*l**2 + 10*l**2.
-3*l*(l + 3)
Let q = 415576/5 - 83114. Factor -14/5*z + 2*z**2 - 2/5*z**3 + q.
-2*(z - 3)*(z - 1)**2/5
Let k(w) be the first derivative of -w**4/14 + 338*w**3 - 599781*w**2 + 473027282*w - 5270. Let k(j) = 0. Calculate j.
1183
Let l = -8686/17 - -43464/85. Let 2*d**4 + 0 - 8/5*d**3 - l*d**5 + 0*d + 0*d**2 = 0. Calculate d.
0, 1, 4
Let f(n) be the first derivative of 2/15*n**6 + 7/5*n**5 - 64*n**2 + 22*n - 1 + 2*n**4 - 64/3*n**3. Let u(y) be the first derivative of f(y). Factor u(s).
4*(s - 2)*(s + 1)*(s + 4)**2
Let o(j) = -j**3 + 3*j**2 + 14*j - 7. Let r be o(5). Factor -3 - 15*a**2 + 5*a + 18*a**2 - r*a.
(a - 3)*(3*a + 1)
Let 69*j**2 + 66*j - 45*j**4 - 51 + j + 77*j - 102*j**3 - 9 - 6*j**2 = 0. What is j?
-2, -5/3, 2/5, 1
Let c(m) = -2*m**3 - 57*m**2 - 53*m - 697. Let o be c(-28). Solve -4/7*h**5 - 2/7*h - 2/7*h**2 + 2/7*h**4 + 6/7*h**o + 0 = 0.
-1, -1/2, 0, 1
Let t = -119 + 122. Let 0*z**t + 6*z**3 + 16*z + 6*z**2 + 6*z**2 - 10*z**3 = 0. What is z?
-1, 0, 4
Let w(v) be the first derivative of 4*v**3/3 - 8*v**2 - 48*v - 9221. Factor w(s).
4*(s - 6)*(s + 2)
Suppose -45 = -18*z + 3*z. Let c**4 + z*c - 4*c**2 - 84 + 86 + c**3 - 4*c + c**2 = 0. What is c?
-2, -1, 1
Factor 92/5 + 6/5*q**2 + 142/5*q.
2*(q + 23)*(3*q + 2)/5
Suppose -7 = 10*h + 23. Let a be -4 + 2 + 3 + 4 + h. Determine v so that -145*v - a + 2 + 2*v**2 + 139*v + 4 = 0.
1, 2
Let a(z) be the third derivative of z**6/360 - 49*z**5/15 + 4802*z**4/3 - 3764768*z**3/9 - 2*z**2 + 1140. Suppose a(s) = 0. What is s?
196
Let a(p) be the second derivative of -2*p**6/15 - 6*p**5 - 29*p**4/3 + 63*p - 14. Let a(r) = 0. Calculate r.
-29, -1, 0
Let m(k) be the third derivative of -k**5/20 + 135*k**4/4 - 59*k**2 - 7. Let m(u) = 0. What is u?
0, 270
Let m = 184 - 1286/7. Let n(s) be the first derivative of -6/35*s**5 + 11 + m*s - 3/7*s**2 + 1/21*s**6 + 1/7*s**4 + 4/21*s**3. Suppose n(y) = 0. Calculate y.
-1, 1
Suppose 652983*p = 652968*p. Factor -162/5*s**2 - 6/5*s + p.
-6*s*(27*s + 1)/5
Suppose 5*w + 167229*k = 167228*k - 2, -60 = 5*k. Suppose 0 - 2/11*r**w - 24/11*r + 2/11*r**3 = 0. What is r?
-3, 0, 4
Let n(k) be the second derivative of -14/3*k**3 + 0 - 20*k - 1/6*k**4 - 13*k**2. Let n(u) = 0. Calculate u.
-13, -1
Let d be (2 - 28/35)*(-10)/(-6). Let s(i) be the second derivative of -5*i**d + 0 + 25/6*i**3 - 19*i - 5/42*i**7 + 2/3*i**6 - 5/6*i**4 - i**5. Factor s(u).
-5*(u - 2)*(u - 1)**3*(u + 1)
Let q(x) be the third derivative of x**6/720 + 13*x**5/180 + 151*x**4/144 + 7*x**3/2 - 2336*x**2. Factor q(i).
(i + 1)*(i + 7)*(i + 18)/6
Let u(m) be the third derivative of -m**5/15 - 19*m**4/2 - 112*m**3/3 - 1344*m**2. Factor u(r).
-4*(r + 1)*(r + 56)
Let h(j) be the first derivative of -3*j**4/20 - 11*j**3/5 + 36*j**2/5 + 432*j/5 - 1363. Solve h(o) = 0.
-12, -3, 4
Let w be ((-20)/3)/4 - 5