 - 107*g**3/3 + 811*g**2. Determine x so that d(x) = 0.
-107, -1
Let z(o) = o**3 + 11*o**2 - 5*o - 53. Let g be z(-11). Let j = 10/161 - -232/1449. Find y, given that j*y**g + 2/9 - 4/9*y = 0.
1
Let u = 12125 - 12122. Let r(y) be the first derivative of 1/3*y**4 + 16/9*y**u + 10/3*y**2 + 6 + 8/3*y. Factor r(a).
4*(a + 1)**2*(a + 2)/3
Let l(z) be the first derivative of z**4/20 + 49*z**3/3 + 120*z**2 + 3711. Determine y, given that l(y) = 0.
-240, -5, 0
Suppose -t + 5*l + 5 = 0, t - l + 36 - 37 = 0. Suppose 2*r - 4 = -4*c, -2*c + 20*r - 25*r + 10 = t. Factor -2*s**2 + 2/3*s**3 + 4/3*s + c.
2*s*(s - 2)*(s - 1)/3
Determine q, given that 27/5*q**2 - 1/5*q**4 + 2 + 29/5*q + 7/5*q**3 = 0.
-1, 10
Let s(v) be the second derivative of v**7/84 + v**6/60 - 17*v**5/20 - 8*v**4/3 + 8*v**3 + 2*v - 4675. Factor s(x).
x*(x - 6)*(x - 1)*(x + 4)**2/2
Solve 56/3 - 44/3*s**5 + 88/3*s**3 - 44/3*s - 112/3*s**2 + 56/3*s**4 = 0.
-1, 1, 14/11
Let b be 25*(-2)/(-1000)*4/3. Let v(u) be the second derivative of 7/30*u**5 + 0 + 0*u**2 + 5/18*u**4 + 22*u + b*u**6 + 1/9*u**3. Factor v(k).
2*k*(k + 1)**2*(3*k + 1)/3
Let q(t) be the second derivative of -4/5*t**5 + 0*t**2 + 0 - 5*t - 6*t**3 - 7/2*t**4 - 1/15*t**6. Suppose q(n) = 0. Calculate n.
-3, -2, 0
Let r(w) be the second derivative of -11/6*w**4 + 36*w**2 + 8*w**3 + 42*w + 0 + 1/10*w**5. Factor r(h).
2*(h - 6)**2*(h + 1)
Let i(u) = -23*u - 418. Let v be i(-18). Let f be (-6)/(-16) - ((-474)/16 + v). Factor f*h**2 + 2/17 + 4*h.
2*(17*h + 1)**2/17
Let k be (0 - 2 - (4/(-2) - -5))*49/(-5). Determine i, given that -1/4*i**3 + 5/2*i**2 + 7/4*i - k = 0.
-4, 7
Find u such that 16*u + 12*u**2 + 30 - 7*u - 1 - 49*u - 17 = 0.
1/3, 3
Let n(t) be the first derivative of 35*t**6/6 - 75*t**5 - 1195*t**4/4 + 585*t**3 + 1660*t**2 + 780*t + 1955. Find q such that n(q) = 0.
-3, -1, -2/7, 2, 13
Let v be (-1093 - -1103)*(3/2)/3. Let m(h) be the first derivative of -1/6*h**4 + 1/36*h**6 + 0*h**2 - 2/9*h**3 + 6 + 0*h + 1/30*h**v. Factor m(t).
t**2*(t - 2)*(t + 1)*(t + 2)/6
Let p(v) be the first derivative of 0*v + 1/4*v**2 - 1/8*v**4 + 35 - 5/12*v**3 + 1/4*v**5. Factor p(x).
x*(x - 1)*(x + 1)*(5*x - 2)/4
Let v(i) = 2*i**2 - 3*i - 33. Let c be v(-4). Factor -c + f**2 - 5 - 5*f + 9*f + 11.
(f - 1)*(f + 5)
Let j(h) = -135*h**4 + 16120*h**3 - 15985*h**2 - 55*h + 55. Let b(m) = -5*m**4 + 597*m**3 - 592*m**2 - 2*m + 2. Let p(c) = -55*b(c) + 2*j(c). Factor p(r).
5*r**2*(r - 118)*(r - 1)
Let v be (-116)/(-1131)*13 - (-10 + -10). Factor 0*i + v - 4*i**2 + 2/3*i**3.
2*(i - 4)**2*(i + 2)/3
Let d(l) be the first derivative of -l**6/1080 + l**5/54 + 23*l**4/216 + 2*l**3/9 + 44*l**2 - 90. Let m(f) be the second derivative of d(f). Factor m(r).
-(r - 12)*(r + 1)**2/9
Let -1/3*g**3 - 128/3*g - 124/3 - 35/3*g**2 = 0. Calculate g.
-31, -2
Let i be (35/105)/(3/846 + 0). Solve 20*x**2 + 143*x - 18*x - i - 11 = 0.
-7, 3/4
Let v be 2 - 13/3 - 33/((-3861)/507). What is r in -2/21*r + 2/21*r**v - 4/7 = 0?
-2, 3
Suppose 5*g + 19 = 5*s + 39, -s = 0. Suppose 5 + 15 = 5*l, g*u + 4 = 3*l. Factor 1587/7*n**u + 12/7 + 276/7*n.
3*(23*n + 2)**2/7
Suppose -118*h**3 + 5*h**2 - 252*h**3 - 133*h - 5*h**4 + 417*h - 33*h + 119*h = 0. Calculate h.
-74, -1, 0, 1
Let r = 3/13 + 1/52. Let k(z) be the second derivative of 3/40*z**5 + 0*z**2 + 0 + 1/4*z**4 + r*z**3 - 9*z. Determine o so that k(o) = 0.
-1, 0
Suppose 0 = -3*q - 2*q - b - 6, 0 = -b + 4. Let t be (q/(-3))/((-4)/24) + 7. Suppose 4/7*h + 0 + 2/7*h**2 - 2/7*h**4 - 4/7*h**t = 0. What is h?
-2, -1, 0, 1
Let w(c) be the first derivative of -7*c**6/12 + 92*c**5/5 - 1235*c**4/8 + 169*c**3/3 + 354. Find x such that w(x) = 0.
0, 2/7, 13
Let f(x) be the second derivative of x**5/20 - 5*x**4/2 - 21*x**3/2 - 53*x**2/2 - 13*x - 5. Let r(z) be the first derivative of f(z). Factor r(a).
3*(a - 21)*(a + 1)
Let c = -5793 - -5793. Let k(b) be the second derivative of 1/8*b**4 + 2*b**3 - 9/40*b**5 + c + 9*b + 3*b**2. Factor k(g).
-3*(g - 2)*(g + 1)*(3*g + 2)/2
Let s(j) be the second derivative of j**6/75 + 37*j**5/50 + 77*j**4/15 - 64*j**3/5 - 13*j - 249. Factor s(x).
2*x*(x - 1)*(x + 6)*(x + 32)/5
Suppose 382*w**2 - 209*w**2 + 12*w + 102*w**4 - 63*w**5 - 3*w**3 - 221*w**2 = 0. Calculate w.
-2/3, 0, 2/7, 1
Let w(u) = 11*u + 13. Let g be w(-1). Determine j so that -3*j**2 - j - j**3 + 3*j**g + 3*j - j**2 = 0.
-2, 0, 1
Suppose 10 - 19 = -30*b + 20*b + 111. What is w in -b + 1/3*w**4 - 37/3*w**2 - 68/3*w - 4/3*w**3 = 0?
-2, -1, 9
Solve 13992/7*h + 2/7*h**5 + 34848/7 - 42*h**3 - 12/7*h**4 + 464/7*h**2 = 0 for h.
-6, -4, 11
Let r(i) be the third derivative of -98 - i**2 + 1/8*i**4 + 3/4*i**3 + 0*i + 1/120*i**5. Solve r(w) = 0 for w.
-3
Factor -13/8*m**2 - m + 22.
-(m + 4)*(13*m - 44)/8
Let j = 315940 - 315937. Factor -2/9*y**j - 20/9 - 16/9*y**2 + 38/9*y.
-2*(y - 1)**2*(y + 10)/9
Let j = 56533/21 - 18044/7. Suppose 86/3 - 4/3*c**2 - j*c = 0. What is c?
-86, 1/4
Let l = 27 - 29. Let v be (0 - -3) + -2 + 3 + l. Suppose -269*m**v - 9*m - 195*m - 598*m**2 - 12 = 0. Calculate m.
-2/17
Let r(w) be the third derivative of w**6/240 + 41*w**5/10 + 20007*w**4/16 - 61009*w**3/6 - 189*w**2 - 10*w. Find z such that r(z) = 0.
-247, 2
Let o = 124 - 73. Let -44*p**2 + 39*p**2 + 59*p**2 + 5*p - 48*p**3 + 43*p - o - 3*p**4 = 0. What is p?
-17, -1, 1
Let s(q) be the third derivative of q**8/40 + 139*q**7/525 + 62*q**6/75 + 58*q**5/75 + 4*q**4/15 - 4*q**2 - 10. Determine k so that s(k) = 0.
-4, -2, -1/3, -2/7, 0
Suppose 0 = 2*n + c - 113, -4*n + 5*c = n - 260. Suppose z - g - 77 = -4*z, -3*z + n = -5*g. Factor 5*j**2 - 52*j - 51*j + z*j**3 + 88*j - 10 + 5*j**4.
5*(j - 1)*(j + 1)**2*(j + 2)
Let q(i) be the second derivative of -1/100*i**5 + 2 + 3*i - 1/30*i**4 + 0*i**2 + 1/150*i**6 + 0*i**3. Factor q(k).
k**2*(k - 2)*(k + 1)/5
Factor -152/9*d**2 - 116*d + 0 - 4/9*d**3.
-4*d*(d + 9)*(d + 29)/9
Suppose 2*l - 7 = -3*d, -17 = 73*l - 76*l + 2*d. Let s(f) be the first derivative of -8/7*f**2 - 4/35*f**l + 0*f - 32/21*f**3 - 5/7*f**4 - 26. Factor s(x).
-4*x*(x + 1)*(x + 2)**2/7
Solve -1727*j**2 - 220500 - 5*j**4 + 60900*j - 119*j**2 - 290*j**3 - 259*j**2 = 0.
-35, 6
Let m(z) be the second derivative of -1/20*z**5 + 1/20*z**6 + 0*z**2 + 0*z**4 + 0*z**3 + 2*z - 1/84*z**7 + 23. Factor m(f).
-f**3*(f - 2)*(f - 1)/2
Suppose -13 = 3*a - 3*x - 37, 0 = -3*a + x + 16. Let -2*s**3 - 165*s**4 + 0*s**3 + 162*s**a + 3*s**2 - 7*s**3 + 9*s = 0. What is s?
-3, -1, 0, 1
Find i such that 20 + 186851*i**2 - 186848*i**2 + 21*i + 10 = 0.
-5, -2
What is w in -117/4 - 57/8*w - 3/8*w**2 = 0?
-13, -6
Let j = 168 - 103. Find f, given that -j*f + 4*f**2 + f**2 - 135*f + 2000 = 0.
20
Let c(x) = -163*x + 1469. Let u be c(9). Let i(q) be the first derivative of 1/3*q**3 + 3/4*q**u + 1/24*q**4 - 2 + 0*q. Let i(w) = 0. Calculate w.
-3, 0
Let i(u) = -u**4 - 8*u**3 + 13*u**2 + 8*u - 12. Let o(g) = g**3 - g. Let s(q) = 2*i(q) + 14*o(q). Determine j so that s(j) = 0.
-4, -1, 1, 3
Suppose -3*s + 36 + 0 = 0. Suppose -4 = s*o - 64. Suppose 133*m**o - 274*m**5 + 139*m**5 + 2*m**3 = 0. Calculate m.
-1, 0, 1
Let j(q) be the third derivative of 3*q**8/28 + 4*q**7/35 - 11*q**6/30 - 4*q**5/15 + 2*q**4/3 - 1904*q**2. Find s, given that j(s) = 0.
-1, 0, 2/3
Let x = -480177 + 480181. Factor 0 + 0*o + 2/13*o**x - 6/13*o**2 - 4/13*o**3.
2*o**2*(o - 3)*(o + 1)/13
Let u(i) = 2*i**2 - 5*i - 2. Let g be u(6). Let j = 1292 + -1289. Find x such that 119*x**5 + 35*x - g*x**j - 10*x**4 - 54*x**5 + 20 - 60*x**5 - 10*x**2 = 0.
-1, 1, 4
Factor -114 + 46*w + 189 + 34*w + 3*w**2 - 17*w + 15*w.
3*(w + 1)*(w + 25)
Let p(b) = 2645*b**2 + 454*b + 23. Let i(l) = -11 - 1364*l - 57 + 2502*l**2 - 6434*l**2 - 4003*l**2. Let k(w) = -3*i(w) - 8*p(w). Find h, given that k(h) = 0.
-2/23
Suppose -c = -2*s + 4*c - 221, 218 = -2*s + 2*c. Let w = s + 221/2. Find r, given that -w*r**2 - 2 + 4*r + 1/2*r**3 = 0.
1, 2
Suppose -3*i - 436530 = -436545. Suppose -1/2*t + 66*t**3 - 181/4*t**2 + 15/4 - 5*t**4 - 4*t**i = 0. What is t?
-5, -1/4, 1/2, 3
Let g(k) = k**2 - k - 2. Let p(x) = 5*x**4 + 15*x**3 - 16*x**2 - 64*x - 8. Let u(y) = 4*g(y) - p(y). Let u(w) = 0. Calculate w.
-3, -2, 0, 2
Let q(o) = -111*o**2 + 6628*o - 3656440. Let x(f) = -84*f**2 + 6627*f - 3656442. Let b(k) = 3*q(k) - 4*x(k). Factor b(y).
3*(y - 1104)**2
Factor -281*x**2 - 629*x**2 + x**4