**4 + 20/9 + 22/9*j**3 = 0. Calculate j.
-1, 1, 10
Suppose 93*g + 91*g = 42*g. Let k(u) be the second derivative of g - 2/7*u**2 + 5/42*u**4 - 3/7*u**3 + 21*u. Solve k(i) = 0 for i.
-1/5, 2
Let y be 8/(-6)*42/(-4). Let b(w) = -2*w**4 + 26*w**3 - 17*w**2 + 16*w. Let q(p) = p**4 - 12*p**3 + 9*p**2 - 8*p. Let i(m) = y*q(m) + 6*b(m). Factor i(t).
2*t*(t - 2)**3
Let i(x) be the first derivative of -9 + 1/6*x**2 + 1/6*x**4 + 1/30*x**5 + 5/18*x**3 + 0*x. Factor i(y).
y*(y + 1)**2*(y + 2)/6
Let p(f) be the second derivative of 1/4*f**4 + 0*f**3 + 0*f**2 + 3/100*f**5 - 1 - 111*f. Factor p(o).
3*o**2*(o + 5)/5
Let x be 2/(-50) - (-7904)/2600. Let v(i) be the second derivative of -1/18*i**4 - 21*i + 1/3*i**2 - 1/30*i**5 + 1/9*i**x + 0. Find z, given that v(z) = 0.
-1, 1
Let b = 965 + -965. Let m(g) be the third derivative of 16*g**2 - 1/6*g**5 + 0 + b*g**4 - 1/24*g**6 + 0*g**3 + 0*g. Find j, given that m(j) = 0.
-2, 0
Let 243*t**3 - 2444*t**2 - 154*t**3 - 59536 - 99*t**3 - 149816*t = 0. Calculate t.
-122, -2/5
Let a(u) be the first derivative of u**4/2 + 80*u**3/3 - 129*u**2 + 1721. Solve a(w) = 0 for w.
-43, 0, 3
Let m = -694 - -696. Find k such that -k + 0*k + 6*k - 2*k - 4*k**m + 2*k - k**3 = 0.
-5, 0, 1
Find k such that -3/5*k**4 + 1224/5 + 1227/5*k**3 - 1221/5*k**2 - 1227/5*k = 0.
-1, 1, 408
Let y(x) be the third derivative of x**7/6720 + x**6/384 + x**5/80 + 25*x**4/24 + 2*x**2 + 1. Let j(d) be the second derivative of y(d). Factor j(z).
3*(z + 1)*(z + 4)/8
Let j be (-4)/(-6) + ((-9660)/(-63))/46. Let l(h) be the first derivative of -2/15*h**3 + 1/10*h**j + 0*h - 2/5*h**2 - 17. Suppose l(p) = 0. What is p?
-1, 0, 2
Let s = 1162 + -1160. Let j be 52/650 + (s - (-112)/(-150)). What is v in j*v**2 - 64/3*v + 256/3 = 0?
8
Let t = 125 - 122. Factor 2*p**3 + 20*p - 22*p**t + 18*p**3 + 8*p**2 - 2*p**2.
-2*p*(p - 5)*(p + 2)
Determine p, given that -112*p + 128 - 60*p**3 + 1305*p**2 - 40*p - 1283*p**2 + 62*p**3 = 0.
-16, 1, 4
Let y(p) be the third derivative of p**7/735 + 8*p**6/105 + 29*p**5/70 - p**4/21 - 116*p**3/21 + 9*p**2 - 14*p. Determine j, given that y(j) = 0.
-29, -2, 1
Find r, given that 3/4*r**3 + 375/4*r - 123/2 - 33*r**2 = 0.
1, 2, 41
Let z(g) be the third derivative of 4*g**7/945 - 19*g**6/90 - 2*g**5/9 + 29*g**4/54 + 343*g**2. Let z(o) = 0. What is o?
-1, 0, 1/2, 29
Let p be (1 - (-2)/4)/(11025/19600) + -2. Find c such that 12/5*c + 16/15 - p*c**2 = 0.
-2/5, 4
Solve 14/3*r**4 - 22*r**2 + 0 - 19/3*r**3 - 1/3*r**5 + 24*r = 0 for r.
-2, 0, 1, 3, 12
Suppose -6*q - 5 = 31. Let k be ((-1)/(-3))/1*(q + 54). Solve 32*j - 44*j**2 - 3*j**3 + 0*j**3 + 9*j**3 + k + 6*j**3 = 0.
-1/3, 2
Let c(l) be the second derivative of -l**4/54 - 398*l**3/27 + 133*l**2/3 - 1389*l + 2. Suppose c(o) = 0. Calculate o.
-399, 1
Find w such that 12/5*w**2 - 36/5*w - 1/5*w**3 + 0 = 0.
0, 6
Let b be ((-4)/(-1772))/(19/(-5) - -4). Let j = b - -13255/3101. What is w in 36/7*w**2 - j*w + 54/7*w**3 - 12/7 = 0?
-1, -1/3, 2/3
Let n(s) be the first derivative of 44/45*s**3 + 3/5*s**4 + 2/5*s + 1/45*s**6 + 107 + 14/75*s**5 + 13/15*s**2. Let n(d) = 0. Calculate d.
-3, -1
Let d(q) = 5*q**2 - 3224*q + 518416. Let b(v) = -10*v**2 + 6447*v - 1036833. Let n(j) = -4*b(j) - 7*d(j). Find f such that n(f) = 0.
322
Let h(w) be the second derivative of -676/3*w**3 + 0 + 24*w - 182/3*w**4 - 49/10*w**5 + 0*w**2. Factor h(b).
-2*b*(7*b + 26)**2
Let h = 119 - 58. Suppose 33 = -7*o + h. Factor 3*t**2 + 5/3*t**3 + 1/3*t**o + 2/3 + 7/3*t.
(t + 1)**3*(t + 2)/3
Let n(p) = p**3 - p**2 - p. Let c(y) = -8*y**3 - y**2 + 11*y + 32. Let o(s) = c(s) + 7*n(s). Factor o(k).
-(k - 2)*(k + 2)*(k + 8)
Let w = -813 + 816. Find o, given that 4*o**4 - 24*o**2 - 36*o - 74*o**3 + 38*o**w + 3*o**5 - 6*o**5 + 2*o**4 + 57*o**3 = 0.
-2, -1, 0, 2, 3
What is b in -1/3*b**2 + 118*b - 10443 = 0?
177
Let a(s) be the first derivative of -s**6/2 - 822*s**5/5 - 19035*s**4 - 826200*s**3 - 4374000*s**2 - 793. Let a(h) = 0. Calculate h.
-90, -4, 0
Let x be 0/(44/286*39). Factor 8/9*p**4 - 2/9*p**5 + x*p**2 + 0*p + 0 - 8/9*p**3.
-2*p**3*(p - 2)**2/9
Let w be 8/92 - ((-8448)/690)/11. Let n(g) be the second derivative of -11*g - 3/25*g**5 - 2*g**3 + w*g**2 + 0 + 17/20*g**4. Factor n(u).
-3*(u - 2)**2*(4*u - 1)/5
Let n(f) be the third derivative of f**5/90 + 17*f**4/6 - 4*f**2 + 2*f - 238. Factor n(a).
2*a*(a + 102)/3
Let f(u) be the third derivative of u**5/20 - 43*u**4/64 + 15*u**3/16 - 5805*u**2. Factor f(l).
3*(l - 5)*(8*l - 3)/8
Let w(v) be the second derivative of 4*v**6/9 - 23*v**5/5 - 5*v**4/6 + 197*v**3/18 + 23*v**2/2 + 58*v. Determine u, given that w(u) = 0.
-1/2, 1, 69/10
Let g(a) = -7*a**4 + 57*a**3 - 307*a**2 + 621*a - 445. Let t(j) = -50*j**4 + 398*j**3 - 2150*j**2 + 4346*j - 3114. Let f(o) = 22*g(o) - 3*t(o). Factor f(h).
-4*(h - 7)*(h - 4)*(h - 2)**2
Factor -3/8*m**4 + 0 - 18*m**2 - 45/8*m**3 + 24*m.
-3*m*(m - 1)*(m + 8)**2/8
Let d(c) be the third derivative of c**6/12 - 13*c**5/12 - 35*c**4/24 + 924*c**2. Solve d(i) = 0.
-1/2, 0, 7
Let c(x) be the second derivative of -x**5/20 + 631*x**4/4 + 5*x + 1152. Factor c(v).
-v**2*(v - 1893)
Factor -5/7*r**3 + 0*r**2 + 2/7*r**4 + 0*r + 0.
r**3*(2*r - 5)/7
Factor 0 + 3/4*s**3 + 15/2*s + 21/4*s**2.
3*s*(s + 2)*(s + 5)/4
Let v(b) be the third derivative of 11*b**2 - 1/140*b**7 + 0*b**3 + 1/80*b**6 - 1/120*b**5 + 0*b**4 + 1/672*b**8 - 3*b + 0. Factor v(h).
h**2*(h - 1)**3/2
Let i be (-1 - (3 - (5 - 1)))/(-2). Let k(d) be the second derivative of 1/3*d**3 + 3/4*d**2 - 17*d + i + 1/24*d**4. Let k(g) = 0. What is g?
-3, -1
Let r = 482 - 469. Let s be r/(-3) + 712/89. Suppose -12 + 1/3*g**5 - s*g**4 + 47/3*g**3 + 32*g - 97/3*g**2 = 0. Calculate g.
1, 2, 3
Let f(x) be the first derivative of -x**3/3 - x + 26. Let r(n) = -8*n**2 - 72*n - 328. Let c(w) = -4*f(w) + r(w). Let c(y) = 0. What is y?
-9
Suppose 3 = t + 1. Suppose 255*c + 226 - 49*c - 2342 - 2*c**t - 22*c - 2*c**2 = 0. Calculate c.
23
Suppose -8/3*o**2 + 322/3 - 1286/3*o = 0. Calculate o.
-161, 1/4
Solve -13*q + 113*q - 40 + 70071*q**2 - 70073*q**2 + 142 = 0 for q.
-1, 51
Let f(m) be the first derivative of 5166529*m**3/6 + 2273*m**2/2 + m/2 - 416. Factor f(l).
(2273*l + 1)**2/2
Let u(c) = 21*c**2 + 178*c - 460. Let z(n) = 19*n**2 + 179*n - 452. Let a(s) = 9*u(s) - 10*z(s). Factor a(y).
-(y - 2)*(y + 190)
Let z(h) = -5*h**2 - 51*h - 150. Let w(d) = -2*d + 5. Let s(j) = -2*w(j) - z(j). Suppose s(o) = 0. What is o?
-7, -4
Determine y so that -664*y - 3*y**3 + 334*y - y**3 + 28*y**2 + 306*y = 0.
0, 1, 6
Let s(k) be the first derivative of -5*k**3/3 + 2290*k**2 - 1048820*k + 3073. Factor s(p).
-5*(p - 458)**2
Let t(c) be the second derivative of -c**5/5 + 170*c**4/3 + 2*c**3/3 - 340*c**2 - 1038*c. Suppose t(m) = 0. Calculate m.
-1, 1, 170
Let k(w) be the first derivative of -3*w**6/11 + 84*w**5/55 - 35*w**4/11 + 104*w**3/33 - 17*w**2/11 + 4*w/11 + 1015. Find f such that k(f) = 0.
1/3, 1, 2
Let i(f) be the first derivative of 3*f**4/4 + 169*f**3 + 10836*f**2 + 21168*f - 1452. Factor i(b).
3*(b + 1)*(b + 84)**2
Let j = -79 + 82. Solve 243*t**3 - 20*t**2 + 247*t**3 - 495*t**j = 0.
-4, 0
Find z, given that 32*z**2 + 55 - 86 - 17 + 4*z**3 - 66*z + 22*z - 24 = 0.
-9, -1, 2
Let t(r) = -r**2 - 12*r + 82. Let l(p) = p**2 + 21*p - 82. Let j(u) = 3*l(u) + 2*t(u). Factor j(y).
(y - 2)*(y + 41)
Let u(j) be the third derivative of -3/40*j**6 - 1/5*j**5 + 0*j**3 + 5/6*j**4 + 0*j - 22*j**2 + 1/210*j**7 - 3. Solve u(o) = 0 for o.
-2, 0, 1, 10
Let c(r) be the first derivative of 11*r**4/18 + 262*r**3/27 + 128*r**2/3 - 8*r + 607. Factor c(i).
2*(i + 6)**2*(11*i - 1)/9
Suppose 614*h - 375 = 853. Determine u so that -1/2*u**h - 3/2 + 1/2*u**3 - 5/2*u = 0.
-1, 3
Let i(d) be the first derivative of -d**4/6 - 26*d**3/9 + 56*d**2 + 5907. Suppose i(b) = 0. Calculate b.
-21, 0, 8
Let g(y) be the second derivative of y**6/70 + 3*y**5/14 - 183*y**4/28 + 166*y**3/7 - 240*y**2/7 - 13*y - 20. Find u such that g(u) = 0.
-20, 1, 8
Let w(k) be the third derivative of -k**6/900 - 32*k**5/225 + 143*k**4/36 - 370*k**3/9 + 1419*k**2. Factor w(o).
-2*(o - 5)**2*(o + 74)/15
Let t(j) = 2*j**4 + 10*j**3 - 6*j - 6. Let f be (1/(-2))/((-6)/(-60)). Let k(a) = -a**4 - 11*a**3 + 5*a + 5. Let o(q) = f*t(q) - 6*k(q). Factor o(d).
-4*d**3*(d - 4)
Let f = -251 + 317. Factor 64*t**3 