Let d = 741 - 783. Let i be (-476)/(-833) + (-32)/d. Factor -2/9 - 2/9*h**4 - 8/9*h - i*h**2 - 8/9*h**3.
-2*(h + 1)**4/9
Let a be 18/(1*-3) - (-136)/17. Solve 6*z**2 - z**a - 25*z**3 + 2*z**3 + 9*z**4 - z**5 + 10*z**2 = 0.
0, 1, 3, 5
Let g = 53 + -51. Factor -19*k**3 + 13*k**3 - k**g + k**2 + 3*k**4.
3*k**3*(k - 2)
Suppose 4*t + 4*v = 20, 0 = -0*t + 3*t + 5*v - 15. Suppose q + w - 1 = 0, -10*q - t*w = -7*q - 1. Suppose -1/6*l**q + 4/3 - 7/6*l = 0. Calculate l.
-8, 1
Suppose 3*a - 19 = -2*q, 4*q - a = 5 - 2. Let k(s) = -46*s + 22. Let b be k(-16). Factor 2 + 744*p**2 - 3*p**3 - b*p**2 - q*p**3 - 7*p.
-(p + 1)*(p + 2)*(5*p - 1)
Find l such that 77/2*l**2 - 104*l + l**3 - 123/2 = 0.
-41, -1/2, 3
Factor 1281/5 + 3/5*o**2 + 1284/5*o.
3*(o + 1)*(o + 427)/5
Let l(u) = -u**2 - 382*u + 36. Let a(h) = h**2 + 382*h - 54. Let y(n) = -2*a(n) - 3*l(n). Factor y(m).
m*(m + 382)
Suppose -126*u + 241 + 515 = 0. Let n(l) be the second derivative of -8*l**2 + 16/3*l**3 + 2/15*l**u + 0 - 37*l - 2/5*l**5 - l**4. Suppose n(v) = 0. What is v?
-2, 1, 2
Factor -111/2*d**2 + 35/2 - 33/4*d + 4*d**3.
(d - 14)*(2*d - 1)*(8*d + 5)/4
Suppose -9*k = 4*i - 153, -4*k = 60*i - 56*i - 68. Find u, given that -2/7*u**5 - 4/7*u**2 + 0*u**3 + 4/7*u**4 + i + 2/7*u = 0.
-1, 0, 1
Determine r, given that -19*r + 947*r - 1984 + 797*r**2 - 889*r**2 - 4*r**3 = 0.
-31, 4
Let o(l) be the third derivative of -90*l**2 - 2048/9*l**3 + 0 + 16/9*l**4 - 1/180*l**5 + 0*l. Determine m so that o(m) = 0.
64
Let c = -26581 + 26586. Determine j, given that -3/4*j**3 + 3*j - c + 29/4*j**2 = 0.
-1, 2/3, 10
Determine m, given that 98/5*m**3 - 47/5*m**4 + 49/5 - 2/5*m**2 - 1/5*m**5 - 97/5*m = 0.
-49, -1, 1
Let n = 369727/96 - 15405/4. Let v(l) be the third derivative of 0 - n*l**4 + 1/3*l**3 + 33*l**2 - 1/240*l**5 + 0*l. Solve v(u) = 0.
-8, 1
Let v(a) = 122*a - 103*a + 70*a**3 + 105*a**2 - 69*a. Let z(p) = -10*p**3 - 15*p**2 + 7*p. Let m(b) = 3*v(b) + 20*z(b). What is x in m(x) = 0?
-2, 0, 1/2
Suppose 4*h - 8 = 0, -15*f - 2*h + 514 = -10*f. Factor f*m + 0*m**3 - 30*m - 9*m**2 - 3*m**3 + 240.
-3*(m - 5)*(m + 4)**2
Let 2104*n**2 - 7*n**4 - 9*n**4 + 56*n - 142*n**3 - 2042*n**2 + 32*n**5 + 8 = 0. Calculate n.
-2, -1/4, 1, 2
Suppose 0 = -i + 5, -4*t = i + 3*i + 312. Let p = t + 85. Factor -221 - 184 - 335*v**p + 330*v**2 - 90*v.
-5*(v + 9)**2
Let l = 6992 + -6987. Let u(b) be the third derivative of 3/20*b**l + 0 + 7/120*b**6 - 1/2*b**4 + 2*b**2 - 2/3*b**3 + 0*b. Suppose u(d) = 0. Calculate d.
-2, -2/7, 1
Let g(q) be the second derivative of -1/80*q**5 + 1/8*q**4 - 1/2*q**3 - 5 + q**2 + 4*q. Determine a, given that g(a) = 0.
2
Suppose -3 + 23 = 4*b. Let j be ((72/225)/(3/15))/(141/705). Solve -16*d - 16/3 + j*d**3 + 8/3*d**2 - 1/3*d**4 - d**b = 0.
-2, -1/3, 2
Let f(w) be the second derivative of -39*w**4 + 3/20*w**5 + 4056*w**3 - 210912*w**2 - 3 + 13*w. Factor f(q).
3*(q - 52)**3
Let r(i) be the first derivative of 48/5*i**5 + 2/3*i**6 + 0*i**3 + 11*i**4 + 0*i + 0*i**2 - 66. Factor r(z).
4*z**3*(z + 1)*(z + 11)
Let z(a) be the second derivative of 1/20*a**5 + 1/12*a**4 - 1/30*a**6 - 1/6*a**3 + 0 + 0*a**2 - 205*a. Factor z(c).
-c*(c - 1)**2*(c + 1)
Factor 40/3*q**2 + 0 - 11/3*q**3 - 1/3*q**4 - 28/3*q.
-q*(q - 2)*(q - 1)*(q + 14)/3
Let f(q) be the second derivative of 0 + 7/6*q**3 + 1/20*q**5 + 2/3*q**4 + 2*q + 0*q**2. Let f(z) = 0. What is z?
-7, -1, 0
Let b(y) be the first derivative of y**6/1800 - y**5/150 - y**4/24 - y**3/3 + 49*y + 147. Let o(j) be the third derivative of b(j). Find s, given that o(s) = 0.
-1, 5
Let y(x) = 7*x**2 - 100*x + 1260. Let r(a) = -3*a**2 + 50*a - 629. Suppose -6*f + 10 = -f. Let z(c) = f*y(c) + 5*r(c). Determine m, given that z(m) = 0.
25
Let j(d) = 22*d + 1961. Let r be j(-89). Let p(n) be the second derivative of -3*n**r + 0 + 15*n + 27/2*n**2 + 1/4*n**4. Let p(a) = 0. What is a?
3
Let h = 533114/3 + -177704. Find o, given that -1/3*o**2 + 1/3*o + h = 0.
-1, 2
Factor 2/9*c**3 + 0 + 0*c - 4/9*c**2.
2*c**2*(c - 2)/9
Let n(b) be the third derivative of 73*b**2 + 0*b**3 + 4/33*b**4 + 0*b + 0 + 1/330*b**5. Factor n(h).
2*h*(h + 16)/11
Suppose 0 = -a - 2*l - 2*l + 4492, 2*a - 8954 = 2*l. Let v be (a/1176)/(1/((-3)/(-2))). Factor -4/7*y**2 - 100/7 + v*y.
-4*(y - 5)**2/7
Let t(g) = 14*g**4 - 138*g**3 + 302*g**2 - 6. Let z(o) = 14*o**4 - 136*o**3 + 303*o**2 - 9. Let j(y) = -6*t(y) + 4*z(y). Determine q so that j(q) = 0.
0, 3, 50/7
Suppose 0 = p - 2*f - 14, 0 = -2*p + 3*f + 23. Let w(l) be the third derivative of -5/132*l**p + 8*l**2 + 0*l - 1/110*l**5 - 2/33*l**3 + 0. Factor w(z).
-2*(z + 1)*(3*z + 2)/11
Determine b so that -20*b**2 - 37965*b - 2190 + 78570*b - 37670*b = 0.
3/4, 146
Let f be (-3)/(-2) + 24 + (-525)/21. Let -o - f*o**2 + 0 + o**3 + 1/2*o**4 = 0. What is o?
-2, -1, 0, 1
Factor -183/8*n**2 - 1/8*n**4 + 31/8*n**3 + 289/2 - 1003/8*n.
-(n - 17)**2*(n - 1)*(n + 4)/8
Factor 42 - 73 + 39 + 20*c + 217 - 5*c**2.
-5*(c - 9)*(c + 5)
Let b = 37825/25214 + -2/12607. Let o = -15 - -19. Factor -5/6*g - 2/3*g**3 + 1/3 + 8/3*g**o + b*g**5 - 3*g**2.
(g - 1)*(g + 1)**3*(9*g - 2)/6
Let a = -1 - -5. Suppose 2*c + 16 = 5*r - 0*r, 20 = 4*r - 4*c. Factor 10*k - k**4 + 6*k**a + 6*k**3 + 14*k**3 + 25*k**r.
5*k*(k + 1)**2*(k + 2)
Let s(z) be the second derivative of -11*z**6/19 + 5851*z**5/190 - 1379*z**4/19 + 908*z**3/19 - 136*z**2/19 - 2484*z. Find q such that s(q) = 0.
2/33, 2/5, 1, 34
Let j(h) = h**2 + 10*h - 11. Let i(f) = -3 - 14*f + 2 + 15*f. Let k be (1 + (-34)/(-8))/((-18)/(-48)). Let x(g) = k*i(g) - 2*j(g). Factor x(c).
-2*(c - 1)*(c + 4)
Let u(b) be the first derivative of -b**5/40 - 7*b**4/16 + 9*b**3/2 - b**2 + 4*b + 2. Let v(q) be the second derivative of u(q). Solve v(g) = 0 for g.
-9, 2
Factor -38*j**4 - 324*j**2 + 155*j**2 + 91*j**2 - 2000 - 2400*j - 120*j**3 + 33*j**4 - 842*j**2.
-5*(j + 2)**2*(j + 10)**2
Let i(k) be the third derivative of 7 + 0*k**3 + 0*k - 242/9*k**4 - 44/45*k**5 + 2*k**2 - 1/90*k**6. Factor i(h).
-4*h*(h + 22)**2/3
Determine k so that -23367*k**3 + 250*k**5 + 9348*k - 8616*k**2 + 19590*k**4 - 536*k**5 + 211*k**5 + 3120 = 0.
-2/5, 1, 260
Let u be (-18)/(-63) + -4 + (9 - (-115)/(-35)). Determine g, given that 4/3*g**u - 2/15*g - 4/15 = 0.
-2/5, 1/2
Let w(s) be the first derivative of 2*s**3/15 - 2*s**2 - 192*s/5 + 2152. Let w(f) = 0. Calculate f.
-6, 16
Factor -19139134*n**2 - 1700340 + 5518*n + 19139135*n**2 + 9312421.
(n + 2759)**2
Let y(w) = -25*w**2 - 72*w + 69. Let m(x) = 37 - 58 - 48 + 95*x - 23*x + 22*x**2 - 1. Let s(k) = -7*m(k) - 6*y(k). Determine j, given that s(j) = 0.
-19, 1
Let z(u) = -u**2 + 11. Let w be z(4). Let r = 7 + w. What is x in -35*x**2 - 6*x**3 - r*x - x**3 - 3*x - 23*x**3 = 0?
-1, -1/6, 0
Let b = 135453/10 - 13543. Let l(s) be the first derivative of -1/4*s**6 - 8*s - 4*s**2 - 23 + b*s**5 + 12*s**3 - 8*s**4. Find d, given that l(d) = 0.
-1/3, 2
Let i(k) = -4*k**4 + 54*k**3 - 178*k**2 - 1314*k + 1434. Let d(z) = 21*z**4 - 271*z**3 + 890*z**2 + 6571*z - 7167. Let q(y) = 4*d(y) + 22*i(y). Solve q(j) = 0.
-4, 1, 9, 20
Find n such that -632 - 5690/9*n - 2/9*n**2 = 0.
-2844, -1
Let y(c) be the second derivative of -c**7/210 + c**6/150 + c**5/100 - c**4/60 - 44*c - 3. Let y(z) = 0. Calculate z.
-1, 0, 1
What is g in -3/2*g**2 - 1841496 + 3324*g = 0?
1108
Solve -2765*y**3 + 342*y + 57*y**2 + 48*y**2 + 2762*y**3 = 0.
-3, 0, 38
Let q(g) = 81*g**3 + 1233*g**2 + 4530*g + 3840. Let c(z) = 5*z**3 + 77*z**2 + 284*z + 240. Let x(f) = 33*c(f) - 2*q(f). Let x(d) = 0. Calculate d.
-20, -4, -1
Let s(d) be the third derivative of 2*d**7/105 - 7*d**6/15 - 32*d**5/15 + 857*d**2. Factor s(a).
4*a**2*(a - 16)*(a + 2)
Let s(d) be the third derivative of d**7/175 - 31*d**6/15 + 1027*d**5/150 - 41*d**4/6 - 1466*d**2. Let s(r) = 0. Calculate r.
0, 2/3, 1, 205
Let g(j) be the second derivative of -j**4/4 + 40*j**3/3 - 24*j**2 - 74*j. Let m be g(26). Factor 3/7*q**2 - 1/7*q**3 - 2/7 - 1/7*q**m + 1/7*q.
-(q - 1)**2*(q + 1)*(q + 2)/7
Let i(w) be the second derivative of -217/15*w**4 - 79/25*w**5 + 0*w**2 + 0 - 34*w - 2/35*w**7 - 196/15*w**3 + 74/75*w**6. Determine z, given that i(z) = 0.
-1, -2/3, 0, 7
Let n = -21 + 23. Suppose 1 = -n*f + 7. Determine v, given that -2*v**2 - v**5 + 9*v**4 - 2 + 5*v - 5*v**4 + 0*v**3 - 4*v**f = 0.
-1, 1, 2
Factor 69*q**3 + 0*q**4 - 7*