 -y**2 - 10*y - 19. Let k be x(-7). Suppose 92*o**k - 188*o**2 + 99*o**2 - 24*o + 48 = 0. Calculate o.
4
Factor 170*l**3 - 173*l**3 + 42*l**2 - 109*l - 11*l.
-3*l*(l - 10)*(l - 4)
Factor -2952/11 - 1464/11*i + 6/11*i**2.
6*(i - 246)*(i + 2)/11
Let d(r) be the second derivative of -r**4/54 - 394*r**3/27 - 784*r**2/9 - 8*r - 25. Factor d(m).
-2*(m + 2)*(m + 392)/9
Let q be (-610)/427 + (-1072)/14. Let a be -3 + 5 + q/(-65). Factor 56/5*i - a - 5*i**2 + 3/5*i**3.
(i - 4)**2*(3*i - 1)/5
Let f = -977 - 624. Let i = f + 1601. Let 5*v**2 + 5/3*v**3 + i + 5/3*v**5 - 10/3*v - 5*v**4 = 0. Calculate v.
-1, 0, 1, 2
Let k(p) be the third derivative of -4*p**5 - 23/280*p**7 + 0*p**3 + 0*p + 21/20*p**6 + 0 + 91*p**2 + 1/448*p**8 - 16*p**4. Factor k(m).
3*m*(m - 8)**3*(m + 1)/4
Let v(q) = -4*q + 3. Let n be v(-8). Suppose 0 = 2*y - 5*o - 31, 0*y + 4*o + n = 5*y. Factor 12*l + 12*l**y + 0*l**2 - 18*l**2 - 3*l**4 - l**2 - 3 + l**2.
-3*(l - 1)**4
Suppose 14*m - 12*m - 2*c = 34, -2*m + 5*c = -76. Determine p so that -12/13 + 0*p**2 + 12/13*p**4 - 20/13*p**m - 2/13*p**5 + 22/13*p = 0.
-1, 1, 2, 3
Let j be (-40)/(-16)*(0 - -32). Factor -1734 - 10766 - 28*c - 472*c - 81*c**2 + 156*c**2 - j*c**2.
-5*(c + 50)**2
Let c(f) be the second derivative of f**6/180 + f**5/120 - 17*f**4/72 + 5*f**3/12 + 100*f + 5. Find y such that c(y) = 0.
-5, 0, 1, 3
Let i be 46/12 + (300/72 - 5). Let f(q) be the second derivative of 10/3*q**i + 0 - 18/5*q**5 + 3*q**4 + 0*q**2 - 16*q. What is b in f(b) = 0?
-1/3, 0, 5/6
Let c(m) = 8*m + 125. Let k be c(-10). Factor 25*s - 27*s + 5*s**3 + 25*s + 17*s + k*s**2.
5*s*(s + 1)*(s + 8)
Let j(z) be the first derivative of -8450*z**3/21 + 1170*z**2/7 - 162*z/7 + 1459. Factor j(h).
-2*(65*h - 9)**2/7
Let h = 39/2993 - -2837/11972. Factor 6 + h*j**2 + 7/2*j.
(j + 2)*(j + 12)/4
Determine u, given that -1/6*u**2 - 1/3*u - 1/6 = 0.
-1
Let l(w) be the third derivative of w**7/210 - 17*w**6/24 + 41*w**5/10 + w**4/6 - 164*w**3/3 + 985*w**2 - 3*w. Find r such that l(r) = 0.
-1, 2, 82
Determine k, given that -10*k**3 + 18*k**3 - 8*k**3 + 13677263*k - 1357163*k - 10530*k**2 + 3*k**3 - 4804839000 = 0.
1170
Let t(g) be the third derivative of -1/2*g**6 + 0 - 90*g + 3/2*g**3 + 2/35*g**7 + 29/20*g**5 - 2*g**4 - g**2. Factor t(b).
3*(b - 3)*(b - 1)*(2*b - 1)**2
Let x = -8481 + 50891/6. Let t(f) be the third derivative of -1/12*f**5 + 0*f**3 - 7*f**2 + 0 + x*f**4 + 0*f. Factor t(y).
-5*y*(y - 4)
Suppose 3*s + h = 4*h + 12, -4 = -4*h. Factor -10*a**2 - 7*a**4 - 4*a**s - 59*a + 17*a**4 - a**5 + 64*a.
-5*a*(a - 1)**3*(a + 1)
Suppose 0 = -2*d + 17*z - 15*z + 4692, 11734 = 5*d - z. Let a = 2349 - d. Suppose 2/11*o**4 + 16/11*o - 4/11*o**3 - 6/11*o**a - 8/11 = 0. What is o?
-2, 1, 2
Suppose 56 = 20*b + 16. Factor 412*r - 6*r**2 - 104*r + 16226 + 8*r**2 - 4368 + 0*r**b.
2*(r + 77)**2
Let w = 1 + -5. Let n be w/6 + (2 - (-2)/3). Determine l so that -12*l**5 + 16*l**4 - 3*l**3 - 3*l**n + l**5 - l**4 + 2*l**5 = 0.
-1/3, 0, 1
Let x be 192/39 - (54/(-26) - (-26)/13). Let t(d) be the third derivative of 0 - d**2 + 5/24*d**4 + 1/12*d**x + 0*d + 0*d**3. Let t(j) = 0. Calculate j.
-1, 0
Let g(z) be the first derivative of 2/3*z**3 + 26/5*z + 18/5*z**2 + 49. Let g(i) = 0. Calculate i.
-13/5, -1
Let a(h) be the third derivative of h**6/180 - 88*h**5/135 + 287*h**4/108 - 38*h**3/9 + 2*h**2 + h + 365. Factor a(w).
2*(w - 57)*(w - 1)*(3*w - 2)/9
Let p(b) = b**2 - 13*b - 2. Let r be p(11). Let i = -22 - r. Factor 4*u**i + 4*u**2 - 10*u - 3*u**2 + 8 - 3*u**2.
2*(u - 4)*(u - 1)
Let d(x) be the third derivative of 151*x**2 - 27*x**3 + 7/5*x**5 - 1/40*x**6 - 25/8*x**4 + 0*x + 2. What is s in d(s) = 0?
-1, 2, 27
Suppose 358*r**2 - 29*r**3 - 126*r**2 + 1872 + 1284*r + 11*r**3 + 22*r**3 = 0. What is r?
-52, -3
Let r be 10/(-145) - (64/16)/(-464)*66. Factor -3/2*t**3 + r*t**5 + 1/2*t**4 - 1/2*t**2 + 0 + t.
t*(t - 1)**2*(t + 1)*(t + 2)/2
Suppose 4*b = 2*h + 280, 2*b - 5*b - h + 200 = 0. Let z = 72 - b. Factor -77 + 13 - 36 - z*j**2 - 20*j + 3*j**2.
-(j + 10)**2
Let y(d) = 5*d**4 - 7*d**3 + 33*d**2 - 41*d + 14. Let c(h) = -4*h**4 + 8*h**3 - 34*h**2 + 42*h - 15. Let u(z) = 4*c(z) + 3*y(z). Determine g so that u(g) = 0.
1, 3, 6
Suppose 1 = z + 3*o + 10, -o + 10 = -4*z. Let b(w) = -w + 2. Let m be b(z). Solve -3*l - l + l - 4*l**2 - 6*l**3 - 4*l**4 - l**m + 2*l = 0 for l.
-1, 0
Let y(u) be the second derivative of -u**4/66 - 47*u**3/33 + 48*u**2/11 + 150*u + 7. Factor y(m).
-2*(m - 1)*(m + 48)/11
Let o(f) = -f**2 + 10*f - 2. Let q = -3 - -5. Let c(n) = 1 - 101*n**2 + 39*n - 10 + 98*n**q. Let b(d) = 2*c(d) - 9*o(d). Solve b(a) = 0 for a.
0, 4
Suppose -t = 0, -1 = 4*q + 3*t + 23. Let w be (38/6 - 7)/(10/q). Factor -4/5 + w*x + 2/5*x**2.
2*(x - 1)*(x + 2)/5
Let x(h) = h**3 + 6*h**2 + 6*h - 1. Let w be x(-3). Let p be 1/(2/w + 0). Factor -8*b - b**3 + 10*b**3 + 0*b**3 - 4 + p*b**4 - b**3.
4*(b - 1)*(b + 1)**3
Let z(k) be the first derivative of -k**6/120 - 3*k**5/20 - 5*k**4/8 + 25*k**3/6 + 25*k**2 - 18. Let m(d) be the second derivative of z(d). Factor m(g).
-(g - 1)*(g + 5)**2
Suppose -10*n = -196 - 434. Let o = n + -59. Let 21*x - 2*x**4 + 15*x**3 + 6 + 5*x**o - 222*x**2 + 249*x**2 = 0. Calculate x.
-2, -1
Let c(u) = u**2 - 3*u + 4. Let p be c(2). Solve 6*a**2 + a**p + 2*a**2 + 37*a**2 - 2*a**2 + 4*a = 0.
-1/11, 0
Let s = 2271 + -885689/390. Let i(c) be the third derivative of s*c**5 + 27/13*c**3 + 3/26*c**4 + 0*c + 0 + 38*c**2. Factor i(b).
2*(b + 9)**2/13
Factor 22*d**3 + 60*d + 8*d**2 + 9*d**4 - d**2 - 11*d**2 - 157*d**3.
d*(d - 15)*(3*d - 2)*(3*d + 2)
Suppose 0 = 55*r - 56*r + 5. Solve -5*x**5 + x**5 - r*x - x**5 + 10*x**3 = 0.
-1, 0, 1
Let -84*g**2 + 502 + 42*g**2 - 548*g + 586 + 44*g**2 = 0. What is g?
2, 272
Let i(y) be the second derivative of 7*y**5/15 - 23*y**4/9 + 4*y**3/3 + 30*y + 9. Let i(t) = 0. What is t?
0, 2/7, 3
Let j(g) be the first derivative of -2/3*g**3 + 7 - 4*g**2 + 10*g. Find y such that j(y) = 0.
-5, 1
Let z(s) = 65*s**3 + 350*s**2 - 1365*s + 60. Let x(u) = -9*u**3 - 50*u**2 + 195*u - 8. Let n(m) = 15*x(m) + 2*z(m). Find l, given that n(l) = 0.
-13, 0, 3
Solve -44 + 23*w - 1/2*w**2 = 0 for w.
2, 44
Let g(d) be the third derivative of d**8/672 + 4*d**7/105 - 29*d**6/48 + 89*d**5/30 - 23*d**4/4 - 16*d**2 - 22*d + 2. Solve g(f) = 0.
-23, 0, 2, 3
Let f be (-1)/(-1 - (-16)/20). Suppose 3*v - 2*y = 2*v + 13, 13 = f*v + 3*y. Find a, given that 8*a**v + 2*a**2 + 2*a**3 - 17*a**3 + 7*a**3 - 2*a**4 = 0.
-1, 0, 1/4, 1
Let d(q) be the third derivative of -q**8/2184 - 4*q**7/273 - 23*q**6/260 - 41*q**5/195 - 8*q**4/39 - 13568*q**2. Suppose d(k) = 0. Calculate k.
-16, -2, -1, 0
Let m(b) be the third derivative of 2/15*b**5 + 1/6*b**4 + 0 + 0*b - 42*b**2 - 4/3*b**3 - 1/30*b**6. Factor m(t).
-4*(t - 2)*(t - 1)*(t + 1)
Let p(j) be the first derivative of -j**6/40 + 3*j**5/16 - 9*j**4/16 + 7*j**3/8 - 3*j**2/4 - 67*j + 59. Let o(x) be the first derivative of p(x). Factor o(q).
-3*(q - 2)*(q - 1)**3/4
Let b = -132538 - -662704/5. Factor 4/5*l + 0 - b*l**2.
-2*l*(7*l - 2)/5
Let 3*f**2 + 4*f**2 - 1539*f + 4*f**2 - 14*f**2 - 1536 = 0. Calculate f.
-512, -1
Let r(g) = -20*g + 0*g**2 + 5*g - 11 - g**2 - 15. Let y be r(-12). What is q in -3*q**2 + 2*q**2 - 8*q - 1 + y = 0?
-9, 1
Let i(z) be the second derivative of -1/4*z**5 - 72*z - 5/12*z**4 + 1/6*z**6 + 0*z**2 + 0 + 5/6*z**3. Let i(n) = 0. Calculate n.
-1, 0, 1
Suppose -90*j + 347 = 120 - 133. Let h(l) be the second derivative of 81/80*l**5 + 0 + 16*l + 5/3*l**3 + 1/2*l**2 + 39/16*l**j. Solve h(v) = 0 for v.
-1, -2/9
Suppose -2*x + 6*x - 11*x = -21. Let i(k) be the first derivative of 1/8*k**2 + 0*k - 1/12*k**x + 1/20*k**5 - 1/16*k**4 - 12. Solve i(b) = 0 for b.
-1, 0, 1
Let b(d) = -8*d**2 + 8*d + 48. Let a(v) = 9*v**2 - 14*v - 48. Let x(k) = -4*a(k) - 5*b(k). Find u, given that x(u) = 0.
-6, 2
Let u(y) = -19*y**4 + 3*y**3 + 8*y**2 - 16*y. Let s(x) = 99*x**4 - 15*x**3 - 39*x**2 + 81*x. Let k(l) = -4*s(l) - 21*u(l). Factor k(v).
3*v*(v - 2)*(v - 1)*(v + 2)
Let w(o) = 28*o**2 - 1016*o + 258091. Let h(t) = -3*t**2 - 3. Let l(x) = 18*h(x) + 2*w(x). Factor l(u).
2*(u - 508)**2
Find f such that -21*f**2 + 291*f + 24*f**2 - 50 + 50 = 0.
-97, 0
Solve -3211/9 + 1/9*p**3 + 7/9*p**2 - 325/9*p = 0.
-13, 19
Let a be -85*(-64)/1440*(1 + 1/2). Factor 2 + 1/3*