tive of p**7/56 - 3*p**6/20 - 27*p**5/80 + 7*p**4/8 + 34*p - 27. Suppose v(x) = 0. Calculate x.
-2, 0, 1, 7
Factor 2888*v**3 + 11964 - v**4 + 7908*v**2 - 3277*v**3 + 15832*v - 1404 + 1703*v**3.
-(v - 1320)*(v + 2)**3
Let p be 18 - -29 - (-2 + -1 + 1). Suppose p*w = 48*w + 3. Factor 4*z**5 + 0*z**2 + 8/3*z**w + 0*z + 0 - 20/3*z**4.
4*z**3*(z - 1)*(3*z - 2)/3
Let f(j) be the second derivative of 0 - 27/10*j**2 + 3/10*j**3 - 91*j + 3/100*j**5 + 1/4*j**4. What is y in f(y) = 0?
-3, 1
Factor 63/5*w**2 + 216/5*w + 0 - 3/5*w**3.
-3*w*(w - 24)*(w + 3)/5
Let c(g) be the third derivative of g**5/180 + 19*g**4/18 - 26*g**3/3 + 189*g**2. Let c(i) = 0. What is i?
-78, 2
Suppose 160*n = 142*n + 90. Suppose n*v - 74 = -74. Suppose 2/5*x**2 + v + x**3 + 0*x = 0. What is x?
-2/5, 0
Let 8413202/9 + 2/9*r**2 + 8204/9*r = 0. What is r?
-2051
Let -9/2*z**2 + 1/2*z**5 + 1/2*z**4 - 11/2*z**3 + 0 + 9*z = 0. What is z?
-3, -2, 0, 1, 3
Let q(m) be the third derivative of m**6/1020 + 4*m**5/85 - 481*m**4/204 - 6*m**2 - 2*m - 50. Factor q(o).
2*o*(o - 13)*(o + 37)/17
Let t be 3 + (-42)/18 + 42/(-108). Let i(h) be the first derivative of 0*h - 2/15*h**5 - t*h**4 + 1/9*h**2 + 18 - 2/27*h**3. Factor i(w).
-2*w*(w + 1)**2*(3*w - 1)/9
Let y(c) be the second derivative of c**5/110 - 21*c**4/22 + 182*c**3/33 - 120*c**2/11 + c + 790. Determine b, given that y(b) = 0.
1, 2, 60
Factor -326 - 159/2*x**2 - 324*x + 1/2*x**3.
(x - 163)*(x + 2)**2/2
Find v, given that 35*v**2 + 44*v**2 - 16*v + 35*v**2 - 110*v**2 - 16*v = 0.
0, 8
Let v(k) be the second derivative of -3*k**5/20 - k**4/4 + 21*k**3 - 225*k + 3. Factor v(f).
-3*f*(f - 6)*(f + 7)
Let h(f) = 36*f + 93. Let p(w) = 3*w + 1. Let o(k) = -h(k) + 6*p(k). Let m be o(-5). What is y in 10/3*y - 2/3*y**4 + 4/3 - 2/3*y**m + 2*y**2 = 0?
-1, 2
Let y(o) be the third derivative of -o**8/840 - o**7/75 + o**6/6 + 31*o**5/75 - 49*o**4/60 - 11*o**3/3 - 20*o**2 + 25. Suppose y(g) = 0. Calculate g.
-11, -1, 1, 5
Let r(s) be the second derivative of -s**6/90 - 7*s**5/45 - 49*s**4/72 + 93*s**2/2 + 6*s + 1. Let g(w) be the first derivative of r(w). Factor g(j).
-j*(2*j + 7)**2/3
Let c = -2025/2 - -1013. Let h(s) be the second derivative of -1/16*s**4 + 1/6*s**3 + 24*s - 1/20*s**5 + 0 - 1/120*s**6 + c*s**2. Factor h(m).
-(m - 1)*(m + 1)*(m + 2)**2/4
Let v(h) = h**4 + 25*h**3 + 43*h**2 - 9*h. Let r(d) = 2*d**4 + 50*d**3 + 87*d**2 - 15*d. Let p(o) = 3*r(o) - 5*v(o). Factor p(n).
n**2*(n + 2)*(n + 23)
Let o(m) = 31*m**2 + 136*m + 1553. Let h(a) = -272*a**2 - 1224*a - 13976. Let s(t) = 5*h(t) + 44*o(t). Factor s(c).
4*(c - 43)*(c + 9)
Let d(c) = c**3 - 6*c**2 - 4*c - 9. Let l be d(7). Factor -7*t**2 + 8 - 17 + 4*t**2 + l*t.
-3*(t - 3)*(t - 1)
Let m be 27/(-15)*(-20)/48. Let z = 119/12 - 29/3. Determine s, given that -z*s**4 - 3/4*s**2 + 0 + m*s**3 + 1/4*s = 0.
0, 1
Let o be 3150/2025 - (-4)/9. Let s(n) be the second derivative of 27*n**o + 3*n**3 + 0 + 39*n + 1/8*n**4. Factor s(h).
3*(h + 6)**2/2
Let p(r) be the third derivative of -r**8/84 - 32*r**7/105 + 19*r**6/30 + 34*r**5/15 + 2723*r**2. Solve p(k) = 0.
-17, -1, 0, 2
Suppose -3*s - 400 = -43*s. Let w be (-2 + (-225)/(-105))/(1/s). Determine m, given that -2/7*m**2 + w*m - 8/7 = 0.
1, 4
Suppose 235*b + 15 - 180 - 600 = 175. Factor -20/3*u**2 + b - 34/3*u.
-2*(u + 2)*(10*u - 3)/3
Suppose -l = 16 - 4. Let t be l*10/(-15) - 4. Determine p, given that 108*p**3 + 10*p - 52*p**2 + 28*p**5 - 6*p + t*p - 92*p**4 = 0.
0, 2/7, 1
Let f(t) be the third derivative of 2*t**7/147 + t**6/10 + 4*t**5/15 + 2*t**4/7 - 2247*t**2. Find z such that f(z) = 0.
-2, -6/5, -1, 0
Let t(d) be the second derivative of -5*d**7/42 + 37*d**6/2 - 810*d**5 + 3645*d**4 - 2*d + 319. Determine h so that t(h) = 0.
0, 3, 54
Let g be 3 + (-168)/64 - 77/(-8). Let k(b) = b + 6. Let p be k(0). Factor -p*t**2 - 5*t**2 + 6*t**2 + g*t.
-5*t*(t - 2)
Let l be (36*2/112)/(-2 + 296/28). Let h(r) be the third derivative of 0*r**3 + l*r**5 + 0 + 0*r**4 - 1/80*r**6 + r**2 - r. Determine f so that h(f) = 0.
0, 3
Let n = 386644903/693 + -3905112/7. Let l = n + -500/9. What is o in l*o**3 + 4/11*o**4 + 0 + 1/11*o**5 + 2/11*o**2 + 0*o = 0?
-2, -1, 0
Find w, given that -118*w**2 - 45 + 596*w + 143*w**2 - 376*w = 0.
-9, 1/5
Let -3412*z**2 + 1996*z - 1336 + 1714*z**2 + 1710*z**2 = 0. What is z?
-167, 2/3
Let t(q) be the first derivative of 3/4*q**4 - 2*q**2 + 2/5*q**5 - 1/6*q**6 - 4/3*q**3 + 0*q + 108. Factor t(s).
-s*(s - 2)**2*(s + 1)**2
Suppose 8*r + 209 = 70*r + 163*r - 241. Factor -d**4 - 2/3*d**3 - 8/3*d + 1/3*d**5 + 4*d**r + 0.
d*(d - 2)**2*(d - 1)*(d + 2)/3
Let j(u) = 3*u + 36. Let d be j(-11). What is m in 8*m**d + 0*m**4 + m**4 + 5 - 1440*m + 23*m**2 + 1456*m - 5*m**2 = 0?
-5, -1
Let w(c) be the third derivative of -61/420*c**5 + 0*c - 1/120*c**6 + 0 - 10/21*c**3 + 261*c**2 + 11/21*c**4. Solve w(b) = 0.
-10, 2/7, 1
Let x be 21/(-3) + (-12)/(-48)*44. Factor 0 - 1/6*l**2 + 1/2*l**3 - 1/2*l + 1/6*l**x.
l*(l - 1)*(l + 1)*(l + 3)/6
Let w(q) be the third derivative of -q**7/315 - q**6/30 + 53*q**5/90 - 5*q**4/6 - 88*q**3/9 - 1756*q**2. Determine p, given that w(p) = 0.
-11, -1, 2, 4
Let w(a) be the first derivative of -162*a**5/25 + 1233*a**4/5 + 2854*a**3/15 - 996*a**2/5 + 248*a/5 + 1806. Determine h so that w(h) = 0.
-1, 2/9, 31
Let p = -111017 + 333053/3. Solve p*d + 1/3*d**4 - 5/3*d**2 - 1/3*d**5 + 0 + d**3 = 0.
-2, 0, 1
Let u be ((-1)/(-8))/((-27)/(-36)). Suppose 5*d - 8*d + 15*d - 36 = 0. Suppose 0*y + 2/3*y**2 + 0 - 5/6*y**d + u*y**4 = 0. Calculate y.
0, 1, 4
Let h(i) = 2*i**5 - 21*i**4 - 15*i**3 + 11*i**2 + 13*i + 10. Let k(y) = -y**5 + 10*y**4 + 8*y**3 - 6*y**2 - 7*y - 4. Let v(f) = 2*h(f) + 5*k(f). Factor v(l).
-l*(l - 9)*(l - 1)*(l + 1)**2
Let m(p) be the second derivative of -p**6/225 + 143*p**5/150 - 376*p**4/5 + 2304*p**3 + 36864*p**2/5 - 3*p + 41. Suppose m(g) = 0. What is g?
-1, 48
Find a, given that -2/3*a**2 + 56/3*a - 128 = 0.
12, 16
Let l(r) be the third derivative of 0 + 21/2*r**4 + r**5 + 31*r**2 + 1/30*r**6 + 98/3*r**3 + 0*r. What is o in l(o) = 0?
-7, -1
Let z(x) be the third derivative of x**6/480 - 13*x**5/120 - x**4/96 + 13*x**3/12 + 1294*x**2. Solve z(a) = 0.
-1, 1, 26
Let u(v) be the third derivative of -7/6*v**4 - 123*v**2 + 0 + 4*v**3 - 32/15*v**5 - 19/30*v**6 + 0*v. Determine p so that u(p) = 0.
-1, 6/19
Let w(i) be the first derivative of i**6/30 - 7*i**5/25 + 3*i**4/5 + 16*i**3/15 - 32*i**2/5 + 48*i/5 + 1623. Determine n so that w(n) = 0.
-2, 2, 3
Let t(m) = -3*m**2 + 21*m + 130. Let z(v) = 3*v**2 - 21*v - 129. Let b(s) = -3*t(s) - 2*z(s). Solve b(a) = 0.
-4, 11
Let w(a) = -a**3 + 59*a**2 + 15*a + 2*a**3 - 94*a**2 - 5*a**3 + 2. Let n(b) = -b**3 - 9*b**2 + 4*b. Let d(h) = 22*n(h) - 6*w(h). Factor d(v).
2*(v - 1)*(v + 1)*(v + 6)
Let z = -18 + 27. Suppose -z*h + 14*h = 20. Determine s so that -2*s**5 - h*s + 0*s**3 + 6*s**3 - 3 - 3*s**4 - s**5 + 6*s**2 + s = 0.
-1, 1
Let g(i) = -104*i + 29747. Let h be g(286). Factor -1/4*y**h + 1/4 + 1/4*y - 1/4*y**2.
-(y - 1)*(y + 1)**2/4
Let j(z) be the second derivative of 19/6*z**3 + 10*z + 1/90*z**6 + 0*z**4 + 0*z**2 + 0 + 1/10*z**5. Let r(n) be the second derivative of j(n). Factor r(v).
4*v*(v + 3)
Let t(p) = 2*p - 8. Let f be t(-4). Let l be f/(-10) - (-26)/65. Factor -l*b**2 + 5*b**2 - 17*b + 2*b**3 + b - 24 - b**2.
2*(b - 3)*(b + 2)**2
Suppose 3/2*s**5 - 756 - 405/2*s**3 + 201*s + 1695/2*s**2 - 183/2*s**4 = 0. Calculate s.
-4, -1, 1, 2, 63
Let y(u) be the third derivative of -23*u**5/12 + 545*u**4/6 + 95*u**3/6 + 10940*u**2. Determine x so that y(x) = 0.
-1/23, 19
Let r(a) be the third derivative of -98*a**3 + 127*a**2 + 0 + 0*a + 49/40*a**6 + 3/112*a**8 + 339/20*a**5 - 1/2*a**7 + 7*a**4. Suppose r(n) = 0. What is n?
-2, -1, 2/3, 7
Let o(i) be the second derivative of 25*i**3 + 1/70*i**5 + 3 + 18*i - 126*i**2 - 22/21*i**4. Factor o(n).
2*(n - 21)**2*(n - 2)/7
Suppose -155 - 134 = -88*p + 63. Let w(m) be the second derivative of 0 - 18*m**2 + 15*m + p*m**3 - 1/3*m**4. Factor w(k).
-4*(k - 3)**2
Suppose -5*m - t = 7, 4*m - 3*t = 2 - 0. Let r = 3 + m. Solve 2*i - 9*i**2 - i**4 + 12*i**r + 0*i**4 = 0.
-1, 0, 2
Let f(t) be the third derivative of 0 - 43*t**2 - 13/160*t**5 + 0*t - 3/160*t**6 - 3/16*t**4 - 1/560*t**7 - 1/4*t**3. Factor f(i).
-3*(i + 1)**2*(i + 2)**2/8
Let n(z) be th