2*l**4 - 49 + 4145 - 178*l**2 - 248*l**2 + 27*l**2 = 0.
-16, -2, 4
Factor 48/5 + 1/5*l**2 + 49/5*l.
(l + 1)*(l + 48)/5
Let x(y) = -3*y**2 - 114*y + 64 - 57*y + 33 + 0*y**2 + 32*y. Let w be x(-47). Determine b so that 1/4*b**4 + 1/4*b**2 + 0*b + 0 + 1/2*b**w = 0.
-1, 0
Let y(c) = -6*c - 51. Let n be (7/2 + (-8)/16)*-3. Let o be y(n). Determine f, given that -15/4 - 5/4*f**2 - 25/4*f + 5/4*f**o = 0.
-1, 3
Factor -254/3*o**2 - 904/3*o + 8/3*o**3 - 70.
2*(o - 35)*(o + 3)*(4*o + 1)/3
Let d(f) = -3*f**3 - f**2 + f - 1. Let r be -7 - 4*(7 - 8). Let a(h) = 8*h**3 - h**2 - 7*h + 3. Let l(t) = r*d(t) - a(t). What is q in l(q) = 0?
-2, 0
Let q(x) be the third derivative of -28*x**2 + 0*x**4 + 0*x**5 + 1/70*x**7 + 0*x + 0 + 0*x**3 - 1/20*x**6. What is g in q(g) = 0?
0, 2
Let b(u) be the first derivative of -2*u**3/33 - 112*u**2/11 - 222*u/11 + 351. Suppose b(r) = 0. What is r?
-111, -1
Suppose 4*w - 2*k - 3*k - 97 = 0, -2*k + 90 = 3*w. Determine s, given that 24*s + 19*s**2 - 59*s**2 + 28*s**3 - w*s + 16 = 0.
-4/7, 1
Let x(b) be the third derivative of 0 + 1/150*b**5 - 35*b**2 - 13/60*b**4 + 0*b**3 + 0*b. Factor x(t).
2*t*(t - 13)/5
Let s(k) = -3239*k + 113370. Let x be s(35). What is q in -1 + 1/2*q**3 + 2*q**2 - q**4 - 1/4*q - 1/4*q**x = 0?
-4, -1, 1
Let c be 40 + (-3 + 3)/5. Let n = -36 + c. Factor 122 - 122 + k**5 - k**n.
k**4*(k - 1)
Suppose -213*l + 206*l = 5*p + 26, -5*p - 30 = 5*l. Find y, given that -2/21*y**l + 0*y + 2/21*y**3 + 0 = 0.
0, 1
Let s(w) = w**2 - 11*w - 40. Let j be s(14). Determine m, given that 180*m**4 - 68*m**j - 11*m**2 - 24*m - 27*m**2 + 14*m**2 + 112*m**3 = 0.
-1, -2/9, 0, 3/5
Let y be -20 + 12*(-984)/(-576). Factor y*w**3 + 1/2 - 1/2*w - 1/2*w**2.
(w - 1)**2*(w + 1)/2
Factor -504300/7*o**2 - 2/7*o**4 + 1640/7*o**3 + 68921000/7*o - 3532201250/7.
-2*(o - 205)**4/7
Let q(b) = 28*b**2 + 234*b - 979. Let v(t) = 81*t**2 + 703*t - 2938. Let l(f) = -26*q(f) + 9*v(f). Factor l(s).
(s - 4)*(s + 247)
Let s(t) = 2*t**3 - 13*t**2 - 171*t + 29. Let h be s(13). Let a(y) be the second derivative of 1/12*y**4 + 1/2*y**h + 0*y**2 + 0 - 2*y. Factor a(w).
w*(w + 3)
Let x(v) be the third derivative of -v**6/30 + 64*v**5/15 - 512*v**4/3 - 1208*v**2. What is g in x(g) = 0?
0, 32
Let g(o) = 4*o**2 - 20*o + 8. Let i(m) = 2*m**2 - m + 2. Let l(y) = g(y) - 4*i(y). Suppose l(n) = 0. What is n?
-4, 0
Suppose 0 = m - 31 + 27. Factor -2*x**5 - 224*x**2 - 66*x**3 + 171*x**4 - 85*x - 71*x**m - 72*x**4 - 43*x.
-2*x*(x - 8)**2*(x + 1)**2
Let m(x) = -20*x + 49. Let y be m(-7). Suppose 11*p - y = -10*p. Factor -p*j - 3/4*j**3 - 6 - 9/2*j**2.
-3*(j + 2)**3/4
Let t(d) = d**2 + 5*d - 5. Let h be t(-7). Let v be 0*((-4)/40 - h/(-15)). Let v + x - 1/2*x**2 = 0. What is x?
0, 2
Let k(v) be the second derivative of -9*v**6/40 + 117*v**5/80 - 5*v**4/2 + 3*v**3/2 - v + 360. Determine y so that k(y) = 0.
0, 2/3, 3
Let x(r) be the third derivative of 0*r + 147/100*r**5 + 7/10*r**4 + 2/15*r**3 + 0 - 60*r**2. Factor x(p).
(21*p + 2)**2/5
Suppose 5*t + 35 = 12*t. Determine h so that -1988*h**3 - 4*h**2 + h**5 + 14*h**t + 1893*h**3 - 56*h**4 + 20*h = 0.
-1, -2/3, 0, 2/5, 5
Let p(w) be the first derivative of 5*w**3/6 + 205*w**2/8 - 105*w/4 + 1083. Suppose p(v) = 0. What is v?
-21, 1/2
Let v(b) = b**2 - 18*b - 79. Let y(w) = -w**2 - 1. Let x(u) = 3*u**2 - 10*u - 14. Let a be x(8). Let d = a - 94. Let i(m) = d*y(m) + 2*v(m). Solve i(z) = 0.
-9
Let t(m) be the third derivative of m**8/1344 - 11*m**7/840 + 43*m**6/480 - 73*m**5/240 + 7*m**4/12 - 2*m**3/3 + 1479*m**2. Factor t(s).
(s - 4)**2*(s - 1)**3/4
Let o be 115/100 - (-12)/48. Let z(c) be the first derivative of o*c**5 - 5*c**2 + 5 - 11/2*c**4 + 8*c**3 + c. Factor z(s).
(s - 1)**3*(7*s - 1)
Let l(t) be the first derivative of -10*t**3/3 - 107*t**2/7 - 12*t/7 + 947. Factor l(c).
-2*(c + 3)*(35*c + 2)/7
Let f(o) be the third derivative of o**5/120 + 863*o**4/48 - 72*o**3 + 2*o**2 + 2*o - 76. Factor f(x).
(x - 1)*(x + 864)/2
Let k(f) be the first derivative of 226/7*f**2 - 4/7*f**3 + 55 - 296/7*f. Determine x, given that k(x) = 0.
2/3, 37
Suppose -4*v + 3*d = -15, -2*v + 7 - 4 = 3*d. Factor 6 - 34/3*t + 14/3*t**2 + 2/3*t**v.
2*(t - 1)**2*(t + 9)/3
Let x be (-12 - -20) + (-4 - -6). Let n be 22/(-55) + 16/x. Find d such that 21/5*d + n + 27/5*d**4 - 33/5*d**2 - 21/5*d**3 = 0.
-1, -2/9, 1
Suppose 0 = -t - m + 2, 3*m = 3*t + 18. Let a be (-1)/t - 10/(-4). Find z such that z**2 + 0*z**4 - 6*z**4 - z**2 - 12*z**2 - 27*z**a = 0.
-4, -1/2, 0
Let m(t) be the second derivative of t**5/100 - 53*t**4/60 + 136*t**3/5 - 288*t**2 - 2415*t. Suppose m(i) = 0. Calculate i.
5, 24
Let n(v) be the first derivative of -9*v**4/28 - 2053*v**3/7 - 527364*v**2/7 - 350892*v/7 - 2816. Factor n(d).
-3*(d + 342)**2*(3*d + 1)/7
Let z(x) = -20*x**2 - 2600*x + 414928. Let i(q) = q**2 + q - 8. Let b(m) = -24*i(m) - z(m). Determine c so that b(c) = 0.
322
Let n(i) be the first derivative of i**4/10 - 26*i**3/15 - 8*i**2 + 280*i + 4346. Factor n(o).
2*(o - 10)**2*(o + 7)/5
Let l(k) = k**3 - 5*k**2 + 5*k - 21. Let g be l(5). Suppose 3 = 5*f - 3*s + 2, 0 = -g*f + s + 5. Suppose 18 - 1 + 13 + 5*m - 5*m**f = 0. Calculate m.
-2, 3
Solve -100*f**5 - 66 - 90*f**3 + 24*f + 68*f - 9 + 70*f**2 - 7*f + 5*f**4 + 105*f**5 = 0.
-5, -1, 1, 3
Let i be 19*338/(-3458)*-518. Factor 138*g**3 - 1472*g - 9/2*g**4 - i*g**2 - 512.
-(g - 16)**2*(3*g + 2)**2/2
Suppose 4*i - 764 = -3*o, 23*o - 382 = -2*i + 22*o. Suppose 0 = i*s - 246*s + 165. Factor -8/11*y - 2/11*y**5 - 26/11*y**s - 24/11*y**2 + 0 - 12/11*y**4.
-2*y*(y + 1)**2*(y + 2)**2/11
Let t(p) be the first derivative of -5*p**4/4 + 130*p**3/3 + 1405*p**2/2 - 1530*p - 2516. Factor t(w).
-5*(w - 34)*(w - 1)*(w + 9)
Let r be (-10)/(-45) + 688/(-18). Let q be (8 + r)*74/(-4). Factor 563*k - q*k + 4 + 4*k**2 + 0*k**2.
4*(k + 1)**2
Factor 2/7*h**2 + 0 + 156*h.
2*h*(h + 546)/7
Let h(k) be the third derivative of k**5/135 - k**4/2 + 40*k**3/3 + 99*k**2 + 2*k. Find x such that h(x) = 0.
12, 15
Suppose 11*h + 99 = -4*r, r - 2*r = -4*h - 36. Factor r + 0*g + 4/3*g**2 + 2/3*g**3 - 2/3*g**4.
-2*g**2*(g - 2)*(g + 1)/3
Let g = -130571 + 130571. Suppose -2 - 6 = -4*d. Suppose 0*t**d + 24/5*t**4 + 48/5*t**3 + 3/5*t**5 + g + 0*t = 0. Calculate t.
-4, 0
Let c be -3 - -4 - (-2 + 1). Find g, given that -7*g**c + 0*g**2 + 4*g**2 - 3*g = 0.
-1, 0
Let l be 928/1827 - 10/35. Factor 0*k + l*k**4 + 0*k**3 + 32/9 - 16/9*k**2.
2*(k - 2)**2*(k + 2)**2/9
Factor 3/2*u**3 + 0 + 24*u**2 + 56*u - 1/4*u**4.
-u*(u - 14)*(u + 4)**2/4
Let u = -107 - -109. Suppose -48*y + 28 - y**2 - 108 + y**2 - 4*y**u = 0. Calculate y.
-10, -2
Suppose -18*k + 31426 = k. Let j = -11570/7 + k. Factor -4/7*o**3 + j + 0*o**2 + 12/7*o.
-4*(o - 2)*(o + 1)**2/7
Let m(s) = 2*s**2 + 223*s + 2649. Let o be m(-98). Let l(n) be the first derivative of 2/15*n**o - 4/5*n + 1/5*n**2 + 13. Factor l(d).
2*(d - 1)*(d + 2)/5
Let m(q) = -2*q**3 + 33*q**2 - 2304*q - 20751. Let j(y) = 6*y**3 - 117*y**2 + 8064*y + 72627. Let g(s) = -5*j(s) - 17*m(s). Factor g(o).
4*(o - 18)*(o + 12)**2
Suppose -4*o - o + 320 = 0. Factor -636 + 748 - 4*f**2 + o*f + 3*f**2 + 5*f**2.
4*(f + 2)*(f + 14)
Let u(t) = -7*t + 22*t + 4*t**3 + 22*t - 12*t - 3*t**3 - 4 - 10*t**2. Let s be u(6). Factor -5/2*h**s - 1/2*h**3 + 3*h + 0.
-h*(h - 1)*(h + 6)/2
Let k(j) = j**3 + 247*j**2 + 7772*j + 420. Let c be k(-210). Factor 0 + 0*t**2 + c*t - 4/3*t**3 + 1/3*t**4.
t**3*(t - 4)/3
Let w(o) be the first derivative of -2*o**6/15 + 2*o**5/5 - o**4/3 - 64*o - 155. Let t(j) be the first derivative of w(j). Factor t(x).
-4*x**2*(x - 1)**2
Let y(d) be the second derivative of 10/3*d**3 + 30*d + 0 + 5/12*d**5 - 16*d**2 + 55/24*d**4 - 1/12*d**6. Let s(o) be the first derivative of y(o). Factor s(z).
-5*(z - 4)*(z + 1)*(2*z + 1)
Let w(i) be the first derivative of i**4/3 - 16*i**3/3 + 14*i**2 + 9*i + 28. Let g(b) be the first derivative of w(b). Solve g(u) = 0.
1, 7
Let j be ((-10560)/(-300) + -64)*45/(-84). Let -1458/7*o**2 + 0 + 0*o - j*o**3 - 2/7*o**4 = 0. What is o?
-27, 0
Let i(x) be the second derivative of 16*x**6/25 + 828*x**5/5 + 119713*x**4/10 + 11868*x**3 + 22188*x**2/5 + 11*x - 58. Solve i(k) = 0.
-86, -1/4
Let g = -118 + 63. Let o = g + 60. Factor 10*k**3 - 333*k**2 + 0*k**5 - 5*k**5 - o*k + 333*k**2.
-5*k*(k - 1)**2*(k + 1)**2
Determine