24027*u**2 = 0 for u.
-2, 0, 1, 8/5, 2
Let y = 25771/3300 + -161/300. Let -y*w + 82/11*w**2 + 0 - 2/11*w**3 = 0. Calculate w.
0, 1, 40
Let c be (93/21)/1 + 130/(-50) + (-7)/5. Suppose -c*h + 6/7*h**2 - 1/7*h**3 - 10/7 = 0. Calculate h.
-1, 2, 5
Suppose -4/5*b**5 + 12*b**3 - 12/5*b**4 + 24/5*b - 68/5*b**2 + 0 = 0. What is b?
-6, 0, 1
Let j = 1807 + -1804. Suppose -2*o + n + 2*n + 17 = 0, o + j*n + 5 = 0. Factor r**3 + 4/3 + 1/3*r**o - r - 5/3*r**2.
(r - 1)**2*(r + 1)*(r + 4)/3
Let q(j) = 93*j**2 - 89*j - 10. Let f(s) = -20 + 188*s**2 + 36*s - 29*s - 186*s. Let a(v) = -6*f(v) + 11*q(v). Suppose a(d) = 0. Calculate d.
-2/21, 1
Let x be (24/(-32))/((-3)/8). Let z(s) = s**2 + s - 1. Let t(i) = 4*i**2 + 10*i + 4. Let h(l) = x*z(l) - t(l). Suppose h(n) = 0. Calculate n.
-3, -1
Determine p, given that 142*p**4 - 415*p**4 + 264 + 134*p**4 + 52*p**3 - 68*p**2 + 135*p**4 - 244*p = 0.
-2, 1, 3, 11
Suppose -3*y + l + 22 = 0, -16 = 2*l + 2*l. Factor -y*n**2 + 23*n + 43*n + 2*n**2 + 7*n**2 - 69.
3*(n - 1)*(n + 23)
Let n = -20604 + 103021/5. Suppose 5 - 20 = -5*k. Factor -2/5*s**4 + 0 - 1/5*s**5 - n*s**k + 0*s + 0*s**2.
-s**3*(s + 1)**2/5
What is o in 5/2*o**2 + 1/2*o**4 + 0*o + 0 + 3*o**3 = 0?
-5, -1, 0
Let r(n) = -n**5 - n**3 - n + 10. Let i(f) = -7*f**5 + 20*f**4 - 38*f**3 - 74*f**2 + 27*f + 114. Let x(c) = i(c) - 6*r(c). Suppose x(k) = 0. Calculate k.
-1, 1, 3, 18
Let j(n) = 50*n**3 + 501*n**2 - 456*n + 19. Let o(s) = 8*s**3 + 83*s**2 - 76*s + 3. Let v(b) = -6*j(b) + 38*o(b). Factor v(f).
4*f*(f - 1)*(f + 38)
Let l(a) be the first derivative of -5*a**4/16 - 175*a**3/12 - 55*a**2 + 5445*a + 3554. Factor l(y).
-5*(y - 9)*(y + 22)**2/4
Let z be ((-64)/3)/(40824/(-4374)). Let -10/7*m**3 - 4/7*m**2 + z*m + 0 - 2/7*m**4 = 0. Calculate m.
-4, -2, 0, 1
Solve 5/3*r**2 - 7*r**4 + 0 + 0*r - 3/2*r**5 + 17/6*r**3 = 0.
-5, -1/3, 0, 2/3
Let j(b) = -9*b**4 - 142*b**3 - 99*b**2 - 50*b + 12. Let r(y) = -y**4 + 3*y**3 - y**2 + 2*y - 1. Let q(f) = 5*j(f) + 60*r(f). Determine t so that q(t) = 0.
-26/7, -1, -1/3, 0
Let v(t) = -516*t + 14. Let f be v(-10). Factor -9*n**4 - f*n**3 + 50*n**2 + 5179*n**3 - 6*n**4 - 40*n.
-5*n*(n - 1)*(n + 2)*(3*n - 4)
Suppose 0 = 5*g + 5, 3*p + 2*g = -84 - 782. Let r = p + 288. Solve r*n + 2/7*n**4 + 0*n**3 + 2/7 - 4/7*n**2 = 0.
-1, 1
Determine w so that 2/5*w**3 + 0 - 14*w**2 + 68/5*w = 0.
0, 1, 34
Factor -416/3 - 424/3*t**2 - 4/3*t**3 - 836/3*t.
-4*(t + 1)**2*(t + 104)/3
Let u(b) = -10*b**3 - 11755*b**2 - 11790*b + 90. Let i(y) = y**3 + 1069*y**2 + 1072*y - 8. Let n(d) = -45*i(d) - 4*u(d). Let n(z) = 0. What is z?
-216, -1, 0
Let v(a) = -a**2 - a. Let h(t) = -24*t**2 - 8*t. Let s be 1/(-3) - 6/(-18). Let q be 2/(s/(-4) + -2). Let c(y) = q*h(y) + 20*v(y). Factor c(b).
4*b*(b - 3)
Let l(v) be the second derivative of 3*v**5/16 - 121*v**4/16 + 3*v**3 + 15*v + 13. Factor l(h).
3*h*(h - 24)*(5*h - 1)/4
What is y in 2/7*y**4 - 832/7*y + 0 - 1032/7*y**2 - 198/7*y**3 = 0?
-4, -1, 0, 104
Let a(z) be the first derivative of -4*z**3/3 + 1076*z**2 - 2148*z + 11720. Suppose a(q) = 0. What is q?
1, 537
Let g = 226503 - 1359017/6. Let -13/6*x**2 - 11/6 + g*x**3 + 23/6*x = 0. Calculate x.
1, 11
Let p(k) be the third derivative of -k**8/30240 + 13*k**7/7560 + 7*k**6/540 - 9*k**5/10 + 13*k**2 - 1. Let u(o) be the third derivative of p(o). Factor u(l).
-2*(l - 14)*(l + 1)/3
Let k(f) = -33*f**3 + 144*f**2 - 273*f + 120. Let b(r) = -23 + 20*r + 8*r**3 - 36*r**2 - 7 + 17*r + 31*r. Let t(d) = 21*b(d) + 5*k(d). Factor t(y).
3*(y - 10)*(y - 1)**2
Let s = -5857 + 76143/13. Factor s*l**4 + 0 + 448/13*l**2 - 392/13*l - 58/13*l**3.
2*l*(l - 14)**2*(l - 1)/13
Let s(a) be the first derivative of -74 + 1/38*a**4 - 8/57*a**3 + 0*a + 4/19*a**2. Suppose s(b) = 0. What is b?
0, 2
Factor 7073*l**3 - 3530*l**3 - 105 + 188*l - 3491*l**3 - 164*l**2 - 4*l**4 + 33.
-4*(l - 9)*(l - 2)*(l - 1)**2
Let u(h) be the second derivative of 11 + 1/90*h**4 + 29/15*h**2 - 8*h - 2/3*h**3. Factor u(a).
2*(a - 29)*(a - 1)/15
Let a = 124 - 121. Suppose -a*r = -3*u - 9, -4*u - 2*r + 24 = 6. Factor -1/2*k + 0 + 1/4*k**u.
k*(k - 2)/4
Let g(f) be the first derivative of 1/8*f**5 - 6 + 5/2*f**2 - 5/12*f**3 + 14*f - 5/12*f**4. Let n(x) be the first derivative of g(x). Factor n(w).
5*(w - 2)*(w - 1)*(w + 1)/2
Let p(n) be the third derivative of n**6/840 + n**5/35 + 17*n**4/168 - 15*n**3/7 - 3406*n**2. Factor p(q).
(q - 2)*(q + 5)*(q + 9)/7
Let j be 53025/140 - 10/(-2). Let m = j - 383. Solve 0*l - m*l**2 + 0 = 0.
0
Let n(r) = 36*r**4 - 75*r**3 - 14*r**2 + 64*r. Let o(k) = -7*k**4 + 15*k**3 + 3*k**2 - 13*k. Let x(w) = -2*n(w) - 11*o(w). Find c such that x(c) = 0.
-1, 0, 1, 3
Suppose 31*s - 23*s - 24 = 0. Let g(j) be the second derivative of 0*j**4 - 3/20*j**5 + s*j**2 + 0 + 3/2*j**3 - 9*j. What is t in g(t) = 0?
-1, 2
Let l = -7017 + 673633/96. Let q(s) be the third derivative of 0*s - s**2 + l*s**4 + 0 + 0*s**3 - 1/240*s**5. Factor q(k).
-k*(k - 1)/4
Let y be (-6)/8 - 1806/(-1720). Let m(x) be the first derivative of -3/20*x**4 + y*x**2 + 1/15*x**3 - 1/5*x - 20. Solve m(a) = 0 for a.
-1, 1/3, 1
Suppose -8457 + 8462 = o. What is n in -5/2*n - 1/2*n**o + 1/2 + 5/2*n**4 + 5*n**2 - 5*n**3 = 0?
1
Let r be (-20)/(-11) - 28272/51832. Let 12/11 - 6/11*j**2 - r*j + 2/11*j**4 + 6/11*j**3 = 0. What is j?
-3, -2, 1
Suppose 9 = -2*u - 5*t, 0 = 3*u + 19*t - 21*t - 15. Let w(r) be the first derivative of -r**2 + 32 + 1/9*r**u + 3*r. Find s, given that w(s) = 0.
3
Let o(x) = 5*x**2 + 5460*x + 1490580. Let p(w) = -60*w**2 - 65520*w - 17886960. Let k(z) = -25*o(z) - 2*p(z). Suppose k(j) = 0. Calculate j.
-546
Let q(n) be the second derivative of -n**7/21 - 7*n**6/15 + 15*n**5 + 410*n**4/3 + 1336*n**3/3 + 672*n**2 - n - 121. Find g such that q(g) = 0.
-14, -2, -1, 12
Let f = 124 - 121. Let w(h) be the first derivative of -15*h**2 + 4*h - 42 - h - 18*h**4 + 28*h**f + 0*h + 10. Suppose w(a) = 0. What is a?
1/6, 1/2
Suppose 26*l + 174 = 177*l - 430. Factor -3/5*d**3 + 0 + 3/5*d + 3/5*d**l - 3/5*d**2.
3*d*(d - 1)**2*(d + 1)/5
Let p(f) be the first derivative of -71 + f**2 + 4*f + 1/16*f**4 - 7/12*f**3. Factor p(j).
(j - 4)**2*(j + 1)/4
Let k be (-9)/((-972)/126444) + -5*1. Let r = 1166 - k. Let -r*g**5 - 14/9*g**3 + 10/9*g**4 + 16/9*g - 2/9*g**2 - 8/9 = 0. What is g?
-1, 1, 2
Let b be ((-60)/45)/((-2)/(-12)). Let l(w) = -13*w**2 + 43*w + 61. Let i(y) = 20*y**2 - 64*y - 92. Let z(r) = b*l(r) - 5*i(r). Suppose z(s) = 0. What is s?
-1, 7
Let r(v) be the third derivative of v**8/336 - 3*v**7/70 - 41*v**6/60 + 123*v**5/10 + 27*v**4/8 - 243*v**3/2 + 2*v**2 + 577. Solve r(p) = 0 for p.
-9, -1, 1, 9
Let k be (-1235)/(-418) + 6/(-4). Let n(z) be the first derivative of 12/11*z**2 + 1/22*z**4 - 4/11*z**3 + 8 - k*z. Factor n(x).
2*(x - 2)**3/11
Suppose -12*q - 29*q + 369 = 0. Factor -24*l + 41*l - 20*l - q*l - 3*l**2 - 12.
-3*(l + 2)**2
Let z(a) be the first derivative of 0*a + 4/5*a**5 + 3*a**2 - 8/3*a**3 - 1/2*a**4 + 208. Determine g so that z(g) = 0.
-3/2, 0, 1
Let l be 753/(-180) + 3 + (5/20 - -1). Let p(m) be the first derivative of 0*m**2 + 1/20*m**4 + 0*m + 15 - l*m**3. Factor p(a).
a**2*(a - 1)/5
Let g be -1*4/4*-97. Let p = g + -95. Factor 0*c**p + 1481*c - 1536*c - 5*c**2.
-5*c*(c + 11)
Let k(u) be the first derivative of 200/3*u**3 + 4*u**5 + 32*u + 72*u**2 + 27*u**4 - 57. Determine t so that k(t) = 0.
-2, -1, -2/5
Let y(x) be the second derivative of -x**7/735 + x**6/84 - 2*x**5/105 + 89*x**2/2 - 109*x. Let f(a) be the first derivative of y(a). Factor f(s).
-2*s**2*(s - 4)*(s - 1)/7
Let g = -453 + 456. Factor -100*i**g - 168*i**2 + 96*i**3 - 1960 - 2352*i - 9016.
-4*(i + 14)**3
Let k(a) be the third derivative of 0*a - 73*a**2 - 4/9*a**3 + 0 + 1/36*a**4 + 41/180*a**5 + 1/36*a**6. Factor k(h).
(h + 4)*(2*h + 1)*(5*h - 2)/3
Let w = -454/13 - -23206/663. Let v(m) be the first derivative of -w*m**6 - 2/5*m**5 + 0*m**2 - 8/51*m**3 + 0*m - 1 - 10/17*m**4. Solve v(y) = 0 for y.
-2, -1/4, 0
Let y(x) be the third derivative of -x**8/1008 - x**7/35 - 41*x**6/180 - 4*x**5/15 + 83*x**4/72 + 11*x**3/3 - 6*x**2 - 15*x + 6. Solve y(q) = 0.
-11, -6, -1, 1
Suppose r + 4 = 16. Let j be 3 + r/4 - (1 - 1). Factor -15*u + 0*u**3 - 6 + 0*u**3 + 3*u**3 - j*u**3 - 12*u**2.
-3*(u + 1)**2*(u + 2)
Let j(y) be the second derivative of y**7/15120 + y**6/