h - 1 = 5*r. Determine n so that -10*n**2 + 36*n**r + 8*n**2 - 13*n**2 + 45*n - 51*n = 0.
-1/4, 0, 2/3
Let n(x) be the first derivative of x**3/12 + 73*x**2/4 - 147*x/4 + 1853. Factor n(t).
(t - 1)*(t + 147)/4
Suppose -8 = -2*n, 105*u - 106*u = -n - 2108. What is g in -u + 447 + 5*g**3 - 585 + 825*g + 140*g**2 = 0?
-15, 2
Suppose -4*u = -3*j - 27, -18*u + 3*j - 331 = -400. What is t in -5/3*t**2 + 4/3*t - 5/3*t**u + 4/3 + 1/3*t**4 + 1/3*t**5 = 0?
-2, -1, 1, 2
Let h be 7 + 378/(-70) - (-62)/155. Solve 9/2*z**h + 0*z + 0 + 0*z**4 + 3/4*z**5 - 21/4*z**3 = 0.
-3, 0, 1, 2
Let o(j) be the third derivative of -73*j**2 + 0*j**3 - 1/1344*j**8 + 1/280*j**7 + 0 - 1/480*j**6 + 1/48*j**4 + 0*j - 1/80*j**5. Solve o(m) = 0.
-1, 0, 1, 2
Let r(t) be the second derivative of t**7/15120 + 19*t**6/4320 + t**5/40 + 3*t**4 + 3*t**2/2 - 4*t + 2. Let c(m) be the third derivative of r(m). Factor c(x).
(x + 1)*(x + 18)/6
Let h(r) be the first derivative of -r**6/600 - r**5/25 - 3*r**4/10 + r**3/3 - 33. Let x(p) be the third derivative of h(p). Factor x(k).
-3*(k + 2)*(k + 6)/5
Let k(p) = 6*p + 14. Let j be k(-1). Let g(q) = -17*q**3 + 19*q**2 - 8*q - 28. Let v(o) = 6*o**3 - 6*o**2 + 3*o + 9. Let a(f) = j*v(f) + 3*g(f). Factor a(h).
-3*(h - 2)**2*(h + 1)
Let d(u) = -3*u**4 - 7*u**3 - 110*u**2 + 55*u + 1495. Let v(a) = 2*a**4 + 4*a**3 + 55*a**2 - 28*a - 747. Let b(l) = -3*d(l) - 5*v(l). Solve b(p) = 0 for p.
-5, 5, 6
Let i be ((5 - -4) + -2)*1. Let q be -2 + 1 + -3 + i. Find v, given that 3*v**2 + v + v**q + 17*v**2 - 22*v**2 = 0.
0, 1
Factor 15642*b**3 + 127*b**2 - 460*b - 15647*b**3 + 228 - 160*b.
-(b - 19)*(b - 6)*(5*b - 2)
Let x(l) be the first derivative of l**5/20 + 3*l**4/8 - l**2/2 - 37*l - 50. Let p(z) be the second derivative of x(z). Factor p(m).
3*m*(m + 3)
Let d = -1862 - -1866. Let n(o) be the second derivative of -9*o**2 + 0 + 25*o + 9/20*o**5 - 7/2*o**3 - 1/10*o**6 + 3/4*o**d. Determine s so that n(s) = 0.
-1, 2, 3
Suppose y + 7*y + 40 = 0. Let f be 1 + (-3 - y) + -1. Factor -2*j**4 + f*j**3 + 10*j**2 - 3*j**4 + 3*j**3.
-5*j**2*(j - 2)*(j + 1)
Let x(h) = -h**2 + h + 8. Let i be x(3). Suppose i*q = -4 + 8. Factor 17*t**q - 4 - 7*t**2 - 9*t**2 - 5*t**2 + 8*t.
-4*(t - 1)**2
Factor 1/10*n**3 + 58/5*n**2 + 23/2*n + 0.
n*(n + 1)*(n + 115)/10
Suppose 416 = 1614*z - 1406*z. Factor 6/5*p**3 - 12/5*p - 9/5*p**z + 12/5 + 3/5*p**4.
3*(p - 1)**2*(p + 2)**2/5
Let b(j) be the second derivative of j**4/18 - 101*j**3/9 + 504*j + 1. Suppose b(i) = 0. What is i?
0, 101
Suppose -5*n - 48 = 2*j - 0*j, 4*j = -4*n - 48. Let t be 1/(-3) - n/((-24)/(-7)). Factor 2/5*r**3 - 4/5*r**t - 8/5*r + 16/5.
2*(r - 2)**2*(r + 2)/5
Factor 0 + 4/9*z**3 - 832/9*z**2 - 844/3*z.
4*z*(z - 211)*(z + 3)/9
Let m(x) = -x**3 - 25*x**2 + 5*x + 127. Suppose -3*o - 5*h - 61 - 24 = 0, -4*o - 2*h = 104. Let f be m(o). Solve -2/5*p**f - 2/5 - 4/5*p = 0 for p.
-1
Let a = 161/9 - 1753/99. Factor 2/11*z**4 - 4/11*z**3 + 4/11*z - a*z**2 + 0.
2*z*(z - 2)*(z - 1)*(z + 1)/11
Let l be 35/7 + (-2604)/525. Let b(g) be the second derivative of -13*g + 2/25*g**5 - 2/15*g**3 + 1/30*g**4 - l*g**6 + 0 + 0*g**2. Factor b(q).
-2*q*(q - 1)**2*(3*q + 2)/5
Let n(u) be the first derivative of 15*u**4/26 + 158*u**3/39 + 20*u**2/13 + 5206. Find s such that n(s) = 0.
-5, -4/15, 0
Let p be -44 - (3 - (-1)/(-1)). Let b = -44 - p. Solve -2*c + 1/2*c**b + 0 = 0.
0, 4
Let h = -69310/11 - -6301. Let o = -1 + 1. Let h*x**2 + o*x - 1/11 = 0. Calculate x.
-1, 1
Let r(h) = 16*h + 50. Let i be r(-3). Factor 5*u**5 - 20*u**4 + 15*u**2 + 283*u - 30*u**3 + 5*u**i - 258*u.
5*u*(u - 5)*(u - 1)*(u + 1)**2
Let o be 200/(-16)*4/(-10). Suppose 2*t + 1 = o. What is q in q + 3*q**2 - 3 + 9*q - t - 8*q**2 = 0?
1
Let u be (3/((-30)/8) - 92/10)*68/(-425). Factor 8/5*z**3 - 8/5*z + 2/5*z**4 + 6/5*z**2 - u.
2*(z - 1)*(z + 1)*(z + 2)**2/5
Suppose -d = -19*d + 36. Factor -d*c**2 + 6*c + 3*c**2 + 7*c**2 - 6*c**2.
2*c*(c + 3)
Let n be -7*(-13)/910 - 116/(-40). Let i(k) be the first derivative of -3/2*k**4 + 9/2*k**2 - 2*k**3 - 1/2*k**6 - n*k + 9/5*k**5 - 5. Factor i(m).
-3*(m - 1)**4*(m + 1)
Let w(t) be the first derivative of -5*t**6/36 - 10*t**5/3 - 655*t**4/24 - 670*t**3/9 + 55*t**2 + 240*t - 8623. Determine a, given that w(a) = 0.
-8, -6, -1, 1
Factor -o**2 - 4*o**4 - 39*o - 64 + 24*o**3 - 3*o**2 - 26*o + 6*o - 37*o.
-4*(o - 4)**2*(o + 1)**2
Factor -1 - 94/5*c**2 + 471/5*c.
-(c - 5)*(94*c - 1)/5
Suppose -5*a + 166 = 2*b, -5*a + 2*a = 5*b - 453. Let y = 101 - b. Solve -y*i**2 + 5*i**2 + 2*i**3 - 4*i + 0*i**2 + i**2 = 0 for i.
-1, 0, 2
Let s(z) = z + 3. Let d(g) = -2*g**2 - 13*g + 39. Let u(r) = 4*r**2 + 28*r - 77. Let c(v) = 5*d(v) + 2*u(v). Let w(k) = -2*c(k) + 6*s(k). Factor w(t).
4*(t - 2)*(t + 8)
Let y be 0/11 - (-4 - (4 + -6)). Factor 794*l**y + 25*l**3 - 726*l**2 - 48*l + 3*l**3.
4*l*(l + 3)*(7*l - 4)
Let r(x) be the second derivative of x**4/60 + x**3/6 - 117*x**2/5 - 3474*x. Determine n, given that r(n) = 0.
-18, 13
Let k = 9419/141735 + 2/9449. Let l(z) be the second derivative of 0 + k*z**6 + 5/3*z**3 + 6*z**2 - 12*z - 7/6*z**4 - 1/2*z**5. Suppose l(x) = 0. Calculate x.
-1, 1, 6
Let o(b) be the first derivative of 4/7*b**2 + 4/7*b + 4/21*b**3 - 179. Suppose o(z) = 0. What is z?
-1
Let k be 7/3 - (-181)/543. Let t(d) be the second derivative of 19*d - 1/15*d**5 + 8/9*d**3 + k*d**2 - 1/90*d**6 + 0 + 0*d**4. Factor t(r).
-(r - 2)*(r + 2)**3/3
Let c(r) = -2*r**2 - 13*r - 3. Suppose -4*w + 0*w = 24. Let s be c(w). Find j, given that 1 - s*j + j**5 - 2*j**4 + 41*j**2 + 5*j**4 - 2 + 2*j**3 - 43*j**2 = 0.
-1, 1
Let o = -424 + 433. Suppose 0 = o*d - 3*d. What is g in d*g + 1/2*g**4 + 1/2 - g**2 + 0*g**3 = 0?
-1, 1
Let t(f) be the third derivative of 2*f**7/63 + 17*f**6/72 + 5*f**5/9 + 5*f**4/18 - 9*f**2 + 31*f. Factor t(x).
5*x*(x + 2)**2*(4*x + 1)/3
Let w(z) be the first derivative of 2*z**3/39 + 15*z**2/13 + 28*z/13 - 770. Find j such that w(j) = 0.
-14, -1
Let t(j) be the second derivative of -j**7/12600 - j**6/450 - j**5/40 + 5*j**4/12 + 57*j. Let x(h) be the third derivative of t(h). Find o such that x(o) = 0.
-5, -3
Let h be (171 - 11)*4/(-8) + 2. Let w be ((-4)/46)/(h/6 - -12). Factor 2/23*x**2 - w*x**3 + 6/23 + 10/23*x.
-2*(x - 3)*(x + 1)**2/23
Let b be 6*(-2 - 30/(-12)). Let g(s) be the first derivative of -2/27*s**b + 4/9*s**2 - 10 - 8/9*s. Factor g(l).
-2*(l - 2)**2/9
Let y(b) = 2*b**2 - 12*b + 1. Let w be y(6). Let i be w/(-4) - 825/(-900). Factor -2/3*u**2 + 4/3*u - i.
-2*(u - 1)**2/3
Let q(v) = -70*v**2 - 90*v - 11. Let p(y) = -13*y**2 - 18*y - 2. Let u(s) = -11*p(s) + 2*q(s). Find t, given that u(t) = 0.
-6, 0
Let g(z) be the second derivative of z**7/5040 + z**6/1440 - z**5/40 + 53*z**4/6 + 2*z + 6. Let r(t) be the third derivative of g(t). What is q in r(q) = 0?
-3, 2
Let b = 36 + -33. Suppose 2*x - b*x = -69. Find t such that -x*t**2 - 9*t - 25*t**4 - 4 + 12*t**3 - 3*t - 16*t - 82*t**3 = 0.
-1, -2/5
Let y(k) = -10*k**2 - 83*k + 89. Let d(o) = o**2 + 5*o - 1. Let q(h) = -18*d(h) - 2*y(h). Factor q(r).
2*(r - 2)*(r + 40)
Suppose -150*v + 157*v = 14. Suppose -g = 3*s - 9, 47*s - 48*s - 2 = v*g. Factor -1/6*i**s - 10/3*i - 7/6*i**3 - 3*i**2 - 4/3.
-(i + 1)*(i + 2)**3/6
Let y(p) be the third derivative of -p**5/330 + 1165*p**4/66 - 1357225*p**3/33 - 2*p**2 + 25*p + 1. Let y(t) = 0. Calculate t.
1165
Let g = 9365 - 9351. Determine h, given that 9604 + 1/4*h**4 + 294*h**2 - 2744*h - g*h**3 = 0.
14
Let x(y) be the third derivative of 1/840*y**8 + 0*y + 7/300*y**6 - 4/15*y**3 + 0 - 1/150*y**5 - 2/15*y**4 - 28*y**2 + 1/105*y**7. Let x(l) = 0. What is l?
-2, -1, 1
Let j(s) be the second derivative of -24*s**7/7 - 448*s**6/5 - 4249*s**5/5 - 11387*s**4/3 - 25070*s**3/3 - 9522*s**2 - 46*s - 59. What is y in j(y) = 0?
-9, -23/6, -1
What is f in 3296/3 + 2/3*f**3 + 3304/3*f + 832/3*f**2 = 0?
-412, -2
Let g(h) = 4*h**2 - 53*h + 16. Let v be g(13). Let j(o) be the second derivative of 1/36*o**4 - 17*o + 2/3*o**2 - 2/9*o**v + 0. Factor j(p).
(p - 2)**2/3
Let h(s) be the third derivative of -s**7/105 + 7*s**6/40 - s**5/6 + 6*s**2 - 66. Factor h(v).
-v**2*(v - 10)*(2*v - 1)
Let t be 3 + 2 + -2 + (-3 - -2). Suppose 0 = 5*f - t*x - 20, 3*f - 10*x - 12 = -11*x. Factor -2/11*j**2 + 2/11*j**3 + 2/11*j**f + 0 + 0*j - 2/11*j**5.
-2*j**2*(j - 1)**2*(j + 1)/11
Let