ve of -i**5/40 - 7*i**4/72 + 2*i**3/9 + 972*i**2. Find g such that n(g) = 0.
-2, 4/9
Let q(z) be the third derivative of -2*z + 1/340*z**6 + 0*z**3 + 0 - 1/170*z**5 - 1/102*z**4 + 2/1785*z**7 - 65*z**2. Let q(p) = 0. Calculate p.
-2, -1/2, 0, 1
Let u(q) be the first derivative of 156 + 26/9*q**3 - 4/45*q**5 - 32/9*q - 10/9*q**2 - 11/18*q**4. Solve u(i) = 0 for i.
-8, -1/2, 1, 2
What is s in -1/3*s**2 + 311/3 + 310/3*s = 0?
-1, 311
Let p(y) be the first derivative of y**3/9 - 1302*y**2 + 5085612*y - 9546. Factor p(j).
(j - 3906)**2/3
Let a(p) be the second derivative of -3/5*p**3 - 1/50*p**5 - 192*p + 0 + 0*p**2 + 1/3*p**4. Find f, given that a(f) = 0.
0, 1, 9
Let k(b) = 4*b**4 + 10*b**3 + 36*b**2 + 34*b + 2. Let g(t) = 9*t**4 + 17*t**3 + 70*t**2 + 69*t + 5. Let o(z) = -2*g(z) + 5*k(z). Solve o(p) = 0.
-4, -2, 0
Suppose -3/5*v**4 - 1/5*v**5 + 0*v - 1/5*v**2 - 3/5*v**3 + 0 = 0. What is v?
-1, 0
Let p = -7765/36 + 859/9. Let d = p + 1471/12. Suppose -17/3*a - 16/3*a**2 + d*a**3 + 2 = 0. Calculate a.
-1, 2/7, 3
Let i(z) be the first derivative of -z**7/2100 + z**6/450 + z**5/75 - 2*z**4/15 + 25*z**3/3 + 56. Let x(k) be the third derivative of i(k). Factor x(l).
-2*(l - 2)**2*(l + 2)/5
Factor 1136*x - 12671*x**2 + 12111*x**2 + x**4 - 5*x**4 - 572*x**3.
-4*x*(x - 1)*(x + 2)*(x + 142)
Suppose -5*m = -138 + 8. Factor 18*z + 57*z**2 + 3*z**5 + m*z**3 + 27*z**4 + 85*z**3 - 31*z**3 - 17*z**3.
3*z*(z + 1)**3*(z + 6)
Let b = -76 + 81. Let r(s) = 3*s - 1. Let f be r(4). Factor 3*h + 2*h**2 + 10*h**2 + b*h - f*h**2.
h*(h + 8)
Let h be (-2345)/(-15960) - ((-2)/(-38))/(6/12). Let x(n) be the second derivative of n**2 + 0 - 15*n + h*n**4 - 1/3*n**3. Solve x(s) = 0.
2
Let t = 73342/165015 + -2/165015. Let 32/3*h**2 + 80/9*h + t*h**3 - 64/9 - 8/9*h**4 = 0. What is h?
-2, 1/2, 4
Suppose 0*v = -v + 302. Suppose 0 = -v*z + 294*z + 24. Factor -3/7*c**z + 0 - 9/7*c - 12/7*c**2.
-3*c*(c + 1)*(c + 3)/7
Let t = -24483/2 + 12242. Let q(p) be the second derivative of 1/10*p**5 + 0*p**2 - t*p**4 + 0 + 0*p**3 + 20*p. Factor q(o).
2*o**2*(o - 3)
Let t = -7417/36 + 1858/9. Let o(a) be the third derivative of 5/48*a**4 + 0*a - 1/48*a**6 + t*a**3 + 10*a**2 - 1/24*a**5 + 0. Solve o(p) = 0.
-1, 1
Let m(a) = -a**2 - 17*a - 37. Let u(q) = q**2 + 17*q + 36. Let h(i) = -6*m(i) - 5*u(i). Let j be h(-14). Factor j + 2*s**2 + 2*s**3 + 0*s + 1/2*s**4.
s**2*(s + 2)**2/2
Suppose 11*j - 12 = 5*j. Let d be 1 + 1 + j + 6. Determine m so that -4 - 12*m**2 + 151*m**3 - 155*m**3 - d*m - 2*m = 0.
-1
Let w = -4707/2 + 2355. Factor -5 + 1/2*c**2 + w*c.
(c - 2)*(c + 5)/2
Suppose -110 = -14*c - 12. Find q, given that -6*q - c*q + 0*q**2 - 2*q**2 - 12 - q = 0.
-6, -1
Suppose 160 = 15*o - 5*o. Solve o - 10*r**2 - 20*r + 12*r**2 + 5 - 3 = 0.
1, 9
Find k, given that -96088*k**3 - 6*k**2 + 8 + 96086*k**3 + 5*k - 5*k = 0.
-2, 1
Let o(m) = -m**2 + 5*m + 1. Let n(g) = 3*g**2 + 347*g - 17303. Let u(d) = -n(d) - 5*o(d). Suppose u(j) = 0. What is j?
93
Suppose 363 = 7*x + 335. Suppose -5*v + 4*n + 20 = -x*v, -10 = 2*v + 2*n. Determine g so that -2/13*g**4 + v - 6/13*g**3 - 2/13*g - 6/13*g**2 = 0.
-1, 0
Let v(k) = k**3 + 5*k + 0*k**2 - 3 + 0*k**2. Let g(f) = 19*f**3 - 31 - 29 + 65 - 10*f + f - 20*f**3. Let o(w) = 3*g(w) + 5*v(w). Factor o(c).
2*c*(c - 1)*(c + 1)
Let f(g) be the third derivative of 1/8*g**5 - 8*g + g**2 + 0 + 1/80*g**6 - 5/4*g**3 - 1/16*g**4. Factor f(a).
3*(a - 1)*(a + 1)*(a + 5)/2
Let x(w) = -2842*w**3 - 848*w**2 + 586*w + 28. Let d(c) = 947*c**3 + 283*c**2 - 196*c - 8. Let h(t) = 7*d(t) + 2*x(t). Suppose h(p) = 0. Calculate p.
-40/63, 0, 1/3
Let j be ((-40)/15)/(-1*(3 + 7/(-3))). Factor -2/3*t**2 - j*t - 10/3.
-2*(t + 1)*(t + 5)/3
Let w be (-521 - 2)/(-7 + 6). Let b(y) be the first derivative of 509*y**2 - 2*y + 15*y**3 - w*y**2 - 29 + 6*y. Suppose b(k) = 0. What is k?
2/9, 2/5
Let b(t) be the first derivative of t**6/105 - 11*t**5/35 + t**4/2 - 30*t - 82. Let c(x) be the first derivative of b(x). Solve c(g) = 0 for g.
0, 1, 21
Let r = 613694/18155 + -11/3631. Determine l, given that -56/5*l**2 - r*l**4 + 4/5*l + 0 + 221/5*l**3 = 0.
0, 2/13, 1
Factor 2/7*x**2 + 186/7*x + 1360/7.
2*(x + 8)*(x + 85)/7
Let a be ((-9)/(-18) + -4)*48/(-476). Let t(p) be the first derivative of -9 - 2/51*p**3 + 2/17*p**2 + a*p. Factor t(j).
-2*(j - 3)*(j + 1)/17
Let q(n) be the third derivative of -n**6/180 + n**5/15 - 127*n**3/3 - 2*n**2 + 157*n. Let g(j) be the first derivative of q(j). Factor g(t).
-2*t*(t - 4)
Let y(s) be the third derivative of 3/4*s**5 + 0*s - 76 - 1/24*s**6 + 55/6*s**3 - s**2 + 35/8*s**4. Let y(o) = 0. Calculate o.
-1, 11
Let u(g) be the third derivative of g**7/42 + 93*g**6/8 - 281*g**5/12 - 465*g**4/8 + 700*g**3/3 - 145*g**2 - 17*g. Determine l, given that u(l) = 0.
-280, -1, 1
Suppose 24*u - 1570 = -1066. Let q(c) be the first derivative of 0*c**2 - u - 4/3*c + 1/12*c**4 + 1/3*c**3. Factor q(f).
(f - 1)*(f + 2)**2/3
Let n(i) be the second derivative of -i**4/42 + 148*i**3/21 - 21*i**2 + 22*i. Factor n(s).
-2*(s - 147)*(s - 1)/7
Suppose 103*r = 155*r - 111 - 97. Factor -h**3 - 1/6*h**5 - 1/6*h + 2/3*h**2 + 0 + 2/3*h**r.
-h*(h - 1)**4/6
Factor 3107*t**2 - 1038*t**2 - 21025 - 1039*t**2 - 1031*t**2 + 290*t.
-(t - 145)**2
Factor -4*b - 339*b**2 - 145*b**2 - 359*b**2 - 2*b.
-3*b*(281*b + 2)
Suppose -63 = -4*z + 5*c, 79*z - 3*c = 77*z + 37. Suppose 28*t - 222/5*t**z + 416*t**4 - 848/5*t**3 - 16/5 = 0. What is t?
-2/5, 1/4, 4/13
Let r(h) = h**3 + 10*h**2 + 5*h. Let c be r(-9). Let u be -5 + 189/35 - c/(-10). Factor -27*y**3 + 19*y**u - 5*y**2 - 4*y**4 - y**2.
3*y**2*(y - 2)*(5*y + 1)
Solve -136/5 + 1/5*q**2 + 66/5*q = 0.
-68, 2
Let o(s) = s**4 + s**3 - 2*s**2 + 2*s + 1. Let k(b) = 21*b**4 + 106*b**3 + 158*b**2 + 47*b - 5. Let w(i) = k(i) + 7*o(i). What is v in w(v) = 0?
-2, -1, -1/28
Let l = -326805 + 326805. Factor l + 4/3*k**2 - 68/3*k.
4*k*(k - 17)/3
Let r = 33 + -27. Suppose 24*l - 22*l - r = 0. Factor -p**l - 3*p**3 - 12 + 9*p**2 - 35*p - 3*p**4 - 2*p**3 + 47*p.
-3*(p - 1)**2*(p + 2)**2
Let u be (-16 + 17)/((-1 - 5)/(-18)). Let s(j) be the third derivative of -13*j**2 + 0 + 0*j**u - 1/180*j**5 + 0*j + 1/72*j**4 - 1/180*j**6. Solve s(i) = 0.
-1, 0, 1/2
Determine h, given that -1/4*h**2 + 0 + 23/2*h = 0.
0, 46
Let j = -18172 - -18174. Let o(z) be the first derivative of 3/4*z**4 + 0*z + 7 - j*z**3 + 3/2*z**2. What is k in o(k) = 0?
0, 1
Factor -2/9*r**2 + 1972/9*r - 486098/9.
-2*(r - 493)**2/9
Let q(o) be the first derivative of o**5/40 - 13*o**4/8 + 143*o**3/24 + 49*o**2/4 + 2822. Factor q(k).
k*(k - 49)*(k - 4)*(k + 1)/8
Let g = 191 - 189. Factor 4 - 9*t + 18*t - 13*t + 4*t**g - 4*t.
4*(t - 1)**2
Let v(n) = n**3 - 9*n**2. Let m be v(9). Let q(w) = w + 21. Let j be q(m). Let -24*x**2 - 7 + j*x**2 - 185 + 48*x = 0. What is x?
8
Let a(o) = 4*o**2 - 160*o - 154. Let z(m) = -9*m**2 + 347*m + 308. Let l(h) = -22*a(h) - 10*z(h). Find x such that l(x) = 0.
-14, -11
Let g be ((-30)/100)/(8/3 - 2 - 28/15). Determine w so that -g*w**2 + 4 - 15/4*w = 0.
-16, 1
Let p(q) be the third derivative of 30*q**2 + 61/24*q**6 - 51/4*q**5 + 0*q - 1 - 20/3*q**3 + 185/12*q**4 + 13/21*q**7. Let p(z) = 0. What is z?
-4, 2/13, 1/2, 1
Let s be (-220)/77*(-42)/4. Let p be 56/s - (5 + (-58)/10). Suppose -4/3*g**4 - 4/3*g**2 + p*g**3 + 0 + 0*g = 0. What is g?
0, 1
Let b(a) be the third derivative of -3*a**6/20 + 44*a**5/15 + 59*a**4/3 + 16*a**3 - 73*a**2 + 6. Factor b(j).
-2*(j - 12)*(j + 2)*(9*j + 2)
Let m(j) be the first derivative of 0*j + 0*j**2 + 2/33*j**3 - 45 - 3/22*j**4 + 6/55*j**5 - 1/33*j**6. Let m(o) = 0. Calculate o.
0, 1
Let w(i) be the second derivative of i**4/20 + 543*i**3/5 + 651*i**2/2 + 11238*i. Factor w(g).
3*(g + 1)*(g + 1085)/5
Let x(b) = 7*b**3 + 59*b**2 + 114*b - 6. Let y(g) = -36*g**3 - 296*g**2 - 564*g + 32. Let n(o) = 16*x(o) + 3*y(o). Factor n(h).
4*h*(h + 3)*(h + 11)
Let q(b) be the third derivative of -2 + 13*b**2 + b**3 + 1/360*b**5 + 1/12*b**4 + 0*b. What is j in q(j) = 0?
-6
Let o be (-3 - (-1476)/(-63)) + 27. Suppose 6/7*y**3 - 2/7*y - 8/7*y**2 + o = 0. Calculate y.
-2/3, 1
Let w be (-7 - 50)*((-2)/(-1))/(5/(-95)). Factor 57*b**2 + 27436 - w*b - 1/2*b**3.
-(b - 38)**3/2
Suppose -358*t - 20*u + 84 = -357*t, -36 = -5*t - 4*u. Determine d, given that 40/7 - t*d + 4/7*d**2 = 0.
2, 5
Let t b