2 - 15*g - 124*g**2 = 0. What is g?
-5, 12
Let t = -706 + 3536/5. Let n be (2/(-9) - 2981/(-495)) + -3. Suppose 8/5*d - 4*d**4 + 8/5*d**2 - n*d**3 - t*d**5 + 0 = 0. What is d?
-2, -1, 0, 2/3
Let a(m) be the first derivative of -m**7/2520 + 7*m**6/540 + m**5/24 + 21*m**3 - 82. Let x(z) be the third derivative of a(z). Find s, given that x(s) = 0.
-1, 0, 15
Let q(m) be the first derivative of -m**6/9 - 14*m**5/5 - 127*m**4/6 - 218*m**3/3 - 376*m**2/3 - 104*m + 2125. Solve q(v) = 0.
-13, -3, -2, -1
Let k(c) be the third derivative of c**5/12 - 45*c**4/4 + 260*c**3/3 + 195*c**2 - 1. Factor k(z).
5*(z - 52)*(z - 2)
Let w be (-4)/22 + (-282)/(-462). Let i = -1/5097 - -30589/35679. Suppose i*r - 3/7*r**2 - w = 0. What is r?
1
Factor -43*u - 126 + 5*u**2 - 514 + 5*u - 2*u.
5*(u - 16)*(u + 8)
Let d be 8/(-84) - (-1424)/(-42). Let b be 6/117*3 - d/(-221). Find z, given that b - 1/4*z**2 + 1/4*z = 0.
0, 1
Let p = 4876 - 4869. Let t(z) be the second derivative of -p*z + 1/2*z**3 + 0*z**2 - 1/4*z**4 + 0. Determine b so that t(b) = 0.
0, 1
Let i(l) be the first derivative of -9/11*l**4 + 140 + 0*l + 6/55*l**5 + 10/11*l**3 + 0*l**2. Factor i(b).
6*b**2*(b - 5)*(b - 1)/11
Let b(w) be the first derivative of 256*w**5/15 - 208*w**4/3 + 100*w**3 - 54*w**2 + 233. Factor b(s).
4*s*(s - 1)*(8*s - 9)**2/3
Let b(q) be the third derivative of 13/24*q**5 + 1/48*q**6 + 65/16*q**4 + 131*q**2 + 2*q + 45/4*q**3 + 0. Solve b(l) = 0 for l.
-9, -3, -1
Let v(j) be the third derivative of 5*j**8/336 - 5*j**7/42 - 7*j**6/8 - 23*j**5/12 - 5*j**4/3 + 23*j**2 + 5*j. Factor v(q).
5*q*(q - 8)*(q + 1)**3
Let 0 + 216/11*y - 106/11*y**3 + 112/11*y**2 - 2/11*y**4 = 0. Calculate y.
-54, -1, 0, 2
Let z(j) = 6*j + 57. Let m be z(-5). Suppose -57 = -m*k + 24. Determine c so that 2/17*c**5 + 0 - 8/17*c**2 + 12/17*c**k + 2/17*c - 8/17*c**4 = 0.
0, 1
Let c = 4055150/7 + -579302. Find g such that c - 12/7*g - 3/7*g**2 = 0.
-6, 2
Let t = -564738/7 - -80678. Factor 4/7 + t*a**3 + 8/7*a**2 - 2*a.
2*(a + 2)*(2*a - 1)**2/7
Let i(u) be the first derivative of 3*u**4/16 - 4*u**3 + 159*u**2/8 + 105*u/2 + 1345. Solve i(n) = 0.
-1, 7, 10
Let b(m) = -3*m**2 - 32*m + 240. Let p(z) = 9*z**2 + 97*z - 633. Let a(v) = 11*b(v) + 4*p(v). Factor a(g).
3*(g + 6)**2
Suppose 37/8*g - 1/8*g**2 + 15 = 0. Calculate g.
-3, 40
Let q(w) be the first derivative of w**5/3 + 5*w**4/12 - 200*w**3/9 + 290*w**2/3 - 160*w + 19. Suppose q(y) = 0. What is y?
-8, 2, 3
Let p = 2740 + -2733. Let s(c) be the third derivative of 5/3*c**3 + c**2 - 5/24*c**4 + 1/24*c**6 + 0 + 1/42*c**p - 1/4*c**5 + 0*c. Solve s(g) = 0 for g.
-2, -1, 1
Suppose -5730*u = -5740*u + 20. Let j(p) be the third derivative of 0*p + 0 - 25*p**u + 0*p**4 + 1/18*p**3 - 1/180*p**5. Find q, given that j(q) = 0.
-1, 1
Let o = 84 - 80. Let j = 111 - 773/7. Find r such that -1/7*r**5 - j*r**2 + 0 + 0*r - 5/7*r**o - 8/7*r**3 = 0.
-2, -1, 0
Let v = 910 - 905. Let a(c) be the first derivative of 3/10*c**v - 1/12*c**6 + 0*c + 1/6*c**3 + 0*c**2 - 14 - 3/8*c**4. What is m in a(m) = 0?
0, 1
Let p be (-773)/(-3092)*(24*(-4)/(-12))/((-10)/(-71)). Factor -p*u + 72/5 - 1/5*u**2.
-(u - 1)*(u + 72)/5
Let r = 3672 - 2496. Suppose 15*b + r = 21*b. Factor 93*k + k**2 - 37*k - b - 5*k**2.
-4*(k - 7)**2
Find x such that 173/5*x - 117/10*x**2 + 1/2*x**3 - 12 = 0.
2/5, 3, 20
Solve 0*b + 19/3*b**4 - 19/3*b**2 - 1/3*b**3 + 1/3*b**5 + 0 = 0.
-19, -1, 0, 1
Factor 0 + 28/5*z**3 - 112/5*z - 4/5*z**4 + 16/5*z**2.
-4*z*(z - 7)*(z - 2)*(z + 2)/5
Let q be (-8)/5 + (-87246)/315. Let t = -278 - q. Find l, given that 6/7*l**2 + t - 2/7*l**3 + 10/7*l - 2/7*l**4 = 0.
-1, 2
Let c(o) = o**3 + 8*o**2 - 17*o + 32. Let t be c(-10). Let -116*s**5 + 35*s - 27*s**t + 436*s**5 - 10 - 400*s**4 + 212*s**2 - 580*s**3 = 0. What is s?
-1, -1/4, 1/4, 2
Let f(v) be the second derivative of 1/8*v**4 - 29*v + 45/2*v**2 + 13/4*v**3 + 0. Factor f(u).
3*(u + 3)*(u + 10)/2
Let a(w) be the second derivative of -w**5/60 - 7*w**4/18 - 25*w**3/18 - 2*w**2 - 3031*w. Let a(l) = 0. What is l?
-12, -1
Let t = 110837 + -8312903/75. Let y = 76/25 + t. Find c such that 0*c + y*c**4 + 2/3*c**5 + 0*c**2 + 2/3*c**3 + 0 = 0.
-1, 0
Let h(g) = -7*g**2 + 10*g - 12. Let o(q) = 2*q**2 - q. Let w(v) = 2*h(v) + 2*o(v). Let m(s) = s**2 + 1. Let i(a) = -8*m(a) - w(a). Factor i(n).
2*(n - 8)*(n - 1)
Let c(x) be the second derivative of 1/90*x**5 - 29/2*x**2 + 0 + 1/9*x**3 + 1/18*x**4 - 16*x. Let y(l) be the first derivative of c(l). Factor y(w).
2*(w + 1)**2/3
Suppose 1 = c - 25. Let m = c + -22. Suppose -13*h - 6*h + 2*h - m + h - 12*h**2 = 0. What is h?
-1, -1/3
Determine s, given that 2*s - 264*s**3 + 1575/2*s**2 - 1050 + 1/2*s**4 = 0.
-1, 2, 525
Suppose -32*r = -10*r - 374. Factor -11*u**2 - 9*u**2 - 3*u + r*u**2.
-3*u*(u + 1)
Let g(y) be the third derivative of y**7/150 + 89*y**6/600 + 29*y**5/150 - y**4/5 - 2254*y**2. Solve g(w) = 0.
-12, -1, 0, 2/7
Let v(b) be the first derivative of -2*b**3/7 + 29*b**2/7 + 20*b/7 + 112. Factor v(t).
-2*(t - 10)*(3*t + 1)/7
Let b = 6672 + -20014/3. Let u(x) be the first derivative of -6 + 2*x + 2*x**2 + b*x**3. Factor u(f).
2*(f + 1)**2
Factor -5*n**4 - 592*n**3 + 24*n**3 + 9*n**4 + 1248*n**2 - 64*n**3.
4*n**2*(n - 156)*(n - 2)
Determine b so that -58*b**2 + 3*b**4 - 396*b - 1104 - 273*b**2 - 218*b**2 - 42*b**3 - 1212*b = 0.
-4, -1, 23
Let m(v) be the second derivative of 3*v**5/100 + 7*v**4/5 - 64*v**3/5 - 571*v. Let m(r) = 0. What is r?
-32, 0, 4
Let y(s) be the second derivative of 2*s**7/21 + 4*s**6 + 253*s**5/5 + 140*s**4 + 392*s**3/3 + 4*s - 6. Solve y(h) = 0.
-14, -1, 0
Let h = -66026 - -330131/5. Suppose 9/5 - h*a**3 - 19/5*a + 11/5*a**2 = 0. What is a?
1, 9
Let r be 5/(31/(775/60) + 30/300). Let 37/8*k**r - 3/8*k**4 - 2 - 5/2*k**3 + 19/4*k = 0. What is k?
-8, -1, 1/3, 2
Let i(w) be the first derivative of -w**3/3 + 37*w**2/2 - 252*w + 519. Let b be i(9). Factor -1/2*x**2 + 2 + b*x.
-(x - 2)*(x + 2)/2
Let u(x) be the second derivative of -x**5/4 - 4*x**4/3 + 24*x**3 + 3336*x. Determine m, given that u(m) = 0.
-36/5, 0, 4
Suppose -154*l = -153*l - 56. Let p(f) = 2*f**2 - 112*f + 15. Let j be p(l). Factor -40*t**3 - j*t**2 - 80/3*t**4 + 0 - 5/3*t.
-5*t*(t + 1)*(4*t + 1)**2/3
Suppose -56 = 301*l - 329*l. Determine t, given that 8/9*t**3 + 2 + 20/3*t - 46/9*t**l = 0.
-1/4, 3
Let t(u) be the second derivative of -98*u**6/15 - 273*u**5/5 - 160*u**4 - 512*u**3/3 - 1347*u. Factor t(k).
-4*k*(k + 1)*(7*k + 16)**2
Let a(s) be the first derivative of -s**4/22 + 4*s**3/3 - 11*s**2 + 4161. Factor a(d).
-2*d*(d - 11)**2/11
Let r(a) = 2*a**2 + 36*a + 36. Suppose -3*k + 5*c + 1 - 52 = 0, 2*k + 34 = -2*c. Let m be r(k). Factor 0 - 1/2*n**m + n.
-n*(n - 2)/2
Let u(d) be the third derivative of 5476*d**5/15 - 74*d**4/3 + 2*d**3/3 + 4*d**2 + 34. Factor u(x).
4*(74*x - 1)**2
Let r(v) = 2*v**2 - 8. Let j(s) = 7*s**2 + 231*s - 24. Let q(a) = -j(a) + 3*r(a). Find m such that q(m) = 0.
-231, 0
Let n = -23217 - -116094/5. Let r(z) be the first derivative of 21*z - 39/2*z**4 + 13 - 9*z**2 - n*z**5 - 36*z**3. Let r(t) = 0. Calculate t.
-7, -1, 1/3
Let r(t) be the first derivative of t**4/22 - 222*t**3/11 + 36963*t**2/11 - 2735262*t/11 + 4352. Factor r(w).
2*(w - 111)**3/11
Suppose 4*h - 8 = z + 8*h, 4*z + 3*h = -32. Let u be 16/((-384)/18) - 42/z. Factor 9/2*g**4 - 3*g**3 - 3*g**2 + u*g - 3/2*g**5 - 3/2.
-3*(g - 1)**4*(g + 1)/2
Let j = 3023 - 3015. Let y(c) be the first derivative of -10*c - 25/8*c**4 + 65/6*c**3 + j - 5*c**2. Determine b so that y(b) = 0.
-2/5, 1, 2
Let b(h) be the third derivative of h**7/280 - 321*h**6/80 + 24*h**5 - 959*h**4/16 + 639*h**3/8 - 14*h**2 - 230*h. Find j such that b(j) = 0.
1, 639
Suppose 2*x = -4*g + 26, -5 = -5*x + g + 5. Solve -546*o**3 + 541*o**x - o**2 + 6*o**2 = 0.
0, 1
Let y = -152 - -150. Let b(g) = -g**2 + g - 2. Let t(u) = -6*u**2 - 17*u - 14. Let m(c) = y*t(c) + 14*b(c). Determine h so that m(h) = 0.
0, 24
Solve 580/7*m**3 + 0 - 580/7*m - 2/7*m**4 + 2/7*m**2 = 0.
-1, 0, 1, 290
Let -84*z**3 + 834*z**2 - 131*z**3 - 21*z**3 - 5*z**3 + 27*z**3 - 1034*z + 2*z**4 + 412 = 0. Calculate z.
1, 2, 103
Suppose 4*k + r - 639 = -642, -r = -5*k + 3. Let h(m) be the third derivative of -27*m**2 - 1/480*m**6 + 0*m + 0*m**3 - 1/96*m**4 + 1/120*m**5 + k. Factor h(t).
-t*(t - 1)**2/4
Let m = -724 - -72