= 0. Calculate q.
-1, 1, 2096
Let m(t) be the second derivative of 7/6*t**4 - 70*t + 0 - 41/3*t**3 + 30*t**2. Factor m(u).
2*(u - 5)*(7*u - 6)
Let j = 38/55 - -428/495. Let s = -376009/252 + 41785/28. Let -s*z**2 - j*z + 16/9 = 0. Calculate z.
-8, 1
Let t(x) be the first derivative of -x**4/24 - 2*x**3/9 - x**2/4 + 152. Factor t(r).
-r*(r + 1)*(r + 3)/6
Let -g**5 + 10*g**4 + 985527 + 416*g**2 + 23288*g**2 - 347553*g - 2910*g**3 + 77*g**4 + 22618*g**2 = 0. What is g?
9, 23
Let n(z) = z**4 - z**3 - 2*z**2 - z + 5. Let i(r) = 15*r**4 - 1080*r**3 - 56215*r**2 + 1040*r + 56280. Let c(s) = -i(s) + 20*n(s). Find t such that c(t) = 0.
-106, -1, 1
Let w(a) be the second derivative of 0*a**2 - 3/10*a**5 + 23/18*a**4 + 1/45*a**6 - 1 - 5/3*a**3 + 50*a. Suppose w(j) = 0. What is j?
0, 1, 3, 5
Let c(r) be the first derivative of -5*r**3/3 - 580*r**2 - 67280*r - 376. Factor c(t).
-5*(t + 116)**2
Suppose 5*h = -2*v - 6 + 17, -3*v + 12 = 3*h. Let g be (h/(-1))/(8/12 - 1). Factor -6*j**3 - 2*j**5 + j**2 - 7*j**g + 3*j**4 + 3*j**5 + 16*j**3.
j**2*(j + 1)**3
Let t(b) = -10*b**3 + 23*b**2 + 10*b. Let u(p) = 2*p**3 + p. Let h be 8/(-1 - 3/(-18)*2). Let x(s) = h*u(s) + 3*t(s). Factor x(r).
-3*r*(2*r - 3)*(9*r + 2)
Factor 2/3*b**5 + 20*b**4 + 0 + 1000*b**2 + 5000/3*b + 650/3*b**3.
2*b*(b + 5)**2*(b + 10)**2/3
Suppose -1143/5*j - 1146/5 + 3/5*j**2 = 0. What is j?
-1, 382
Let w be 0 - 2 - (5 - (-3 - -21)). Suppose 41 - 5*z**3 - w + 5*z**4 + 5*z - 19*z**2 - 16*z**2 = 0. Calculate z.
-2, -1, 1, 3
Let b(a) = -a**3 - 33*a**2 - 216*a + 954. Let j be b(-17). Factor 2/9*s**3 + 16/9*s - 32/9 + 14/9*s**j.
2*(s - 1)*(s + 4)**2/9
Let k(m) be the second derivative of 2/3*m**3 + 1/6*m**4 + 0*m**2 - 5*m - 3. Factor k(d).
2*d*(d + 2)
Let -4*t**3 + 2/3*t**4 - 150 - 32/3*t**2 + 100*t = 0. Calculate t.
-5, 3, 5
Let r(k) be the first derivative of -3*k**4/4 - 61*k**3/9 - 20*k**2/3 + 4*k - 4068. Factor r(u).
-(u + 1)*(u + 6)*(9*u - 2)/3
Let p(q) be the third derivative of -q**6/6 - 38*q**5/15 + 181*q**4/6 - 44*q**3 + 1713*q**2. Factor p(h).
-4*(h - 3)*(h + 11)*(5*h - 2)
Let w(r) be the first derivative of -72 + 3/20*r**4 + 6/5*r**3 + 24/5*r - 9/2*r**2. Factor w(z).
3*(z - 1)**2*(z + 8)/5
Let u(w) be the first derivative of -3*w**4/20 - 29*w**3/15 - 39*w**2/5 - 8*w + 974. Factor u(f).
-(f + 4)*(f + 5)*(3*f + 2)/5
Let n(b) be the third derivative of b**5/135 - 47*b**4/54 + 164*b**3/9 + 867*b**2. Factor n(z).
4*(z - 41)*(z - 6)/9
Let k be 1*14 - (-1400)/(-120). Let u be 1/((-22)/(-10) - (-6)/(-3)). Factor -k - 3*p**2 - u*p - 1/3*p**3.
-(p + 1)**2*(p + 7)/3
Suppose 6*k = 1525 + 2831. Let w = k + -4355/6. Let 1/12*t**4 - w*t**3 - 7/12*t**2 - 1/3*t + 0 = 0. What is t?
-1, 0, 4
Determine u, given that -42*u - 76*u - 2*u**2 + 18*u + 600 - 2*u**2 = 0.
-30, 5
Factor 3/7*j**2 + 582/7*j + 0.
3*j*(j + 194)/7
Let q(w) = -2*w**3 - w**2 + w - 1. Let o(v) = -7*v**3 - 883*v**2 + 257551*v - 25153761. Let h(n) = -o(n) + 4*q(n). Suppose h(g) = 0. What is g?
293
Let r(y) be the first derivative of -4*y**3/3 - 2580*y**2 - 1664100*y + 884. Factor r(t).
-4*(t + 645)**2
Let v(k) be the third derivative of 7/240*k**5 + 0*k + 1/240*k**6 + 0*k**3 + 1/32*k**4 + 0 - 59*k**2. Factor v(f).
f*(f + 3)*(2*f + 1)/4
Let z = -118/25 - -71247/15100. Let c = z + 607/1812. Factor 0*t + t**3 + 1/3*t**2 + c*t**5 + t**4 + 0.
t**2*(t + 1)**3/3
Let n be (-7)/14 - ((-339)/42 - -3). Suppose 4*y = -5*h - 17, h + 11 = -0*y + 3*y. Find r, given that -16/7*r + 2/7*r**y + n = 0.
4
What is u in -292/5*u**2 - 464/5*u**3 - 12/5*u**4 + 304/5 + 464/5*u = 0?
-38, -1, -2/3, 1
Let m(z) = -z**2. Let n = -60 - 6. Let l = 65 + n. Let r(g) = -5*g**2 + 5*g + 6. Let j(p) = l*r(p) + 6*m(p). Solve j(a) = 0.
-3, -2
Let j(f) be the third derivative of -7*f**6/120 + 123*f**5/20 + 73*f**4/2 + 110*f**3/3 + 1384*f**2. Factor j(z).
-(z - 55)*(z + 2)*(7*z + 2)
Let i(p) = 25*p**3 + p**2 + 6*p - 13. Let g be i(2). Let u = g - 201. Determine f so that -8/3*f + 2/3*f**u + 8/3 = 0.
2
Let w(b) be the first derivative of -b**4 + 76*b**3/3 - 136*b**2 - 880*b + 3. Factor w(z).
-4*(z - 11)*(z - 10)*(z + 2)
Let w be ((-1212)/505)/(3/(-110)). Let m be w/170 + 8 + 210/(-25). Solve -4/17 - m*t**2 - 6/17*t = 0.
-2, -1
Let g(x) = 15*x**3 + 162*x**2 - 40*x - 68. Let h be g(-11). Suppose h + 11/2*y + 1/2*y**2 = 0. Calculate y.
-9, -2
Factor 0*j**4 - 26*j**3 - 13*j**3 + 2*j**4 - 2016*j**2 + 252*j - 5*j**4 + 2076*j**2.
-3*j*(j - 3)*(j + 2)*(j + 14)
Let g(c) = 4*c**2 - 38*c + 10. Let r(f) = -28*f**2 - 9 + 17 - 13 + 29*f**2. Let a(q) = -2*g(q) + 12*r(q). Factor a(w).
4*(w - 1)*(w + 20)
Let o be ((-6)/33)/(1*8/(-88)). Let v(m) be the first derivative of 2/21*m**3 + 4/7*m + 2 + 3/7*m**o. Let v(n) = 0. What is n?
-2, -1
Let n(t) be the second derivative of 3*t**5/20 + 5*t**4/4 - 73*t**3/2 - 231*t**2/2 - 30*t - 12. Factor n(w).
3*(w - 7)*(w + 1)*(w + 11)
Let n(g) be the second derivative of 961/9*g**2 + 2*g + 7/6*g**4 - 341/9*g**3 + 118 - 1/90*g**5. Factor n(i).
-2*(i - 31)**2*(i - 1)/9
Let g(w) be the first derivative of w**6/27 + 62*w**5/45 + 293*w**4/18 + 1378*w**3/27 - 338*w**2/3 - 4427. Let g(t) = 0. What is t?
-13, -6, 0, 1
Let m(g) be the first derivative of -g**7/840 + g**6/12 - 5*g**5/2 + 125*g**4/3 - 30*g**3 + g**2 - 22. Let k(b) be the third derivative of m(b). Factor k(s).
-(s - 10)**3
Factor -4990/3 - 835*d - 5/3*d**2.
-5*(d + 2)*(d + 499)/3
Let g(s) be the first derivative of -4*s**3/3 + 1362*s**2 - 5432*s - 4581. Factor g(v).
-4*(v - 679)*(v - 2)
Let z(l) be the first derivative of l**8/336 - l**6/40 - l**5/30 - 128*l**2 + 171. Let y(d) be the second derivative of z(d). Factor y(c).
c**2*(c - 2)*(c + 1)**2
Let q = 51103 - 51095. Suppose -10/7 - 9/7*d**3 - 57/7*d - q*d**2 = 0. Calculate d.
-5, -1, -2/9
Let u(q) = -q**3 - q**2 - 2*q + 33. Let i be u(0). Factor 19*z + i*z + 115*z**2 - 119*z**2 - 32 - 16*z.
-4*(z - 8)*(z - 1)
Solve 29*z**4 - 156*z + 652 - 2752 - 33*z**4 - 11*z**2 + 227*z**2 - 4*z = 0 for z.
-7, -3, 5
Let n be (-30)/42*(-658)/235. Let q(k) be the first derivative of -1/10*k**5 - 1/4*k**4 + 1/2*k**n + 0*k**3 - 29 + 1/2*k. Suppose q(d) = 0. What is d?
-1, 1
Let m = 610 - 605. Solve 32*v - m*v**2 + 30*v + 18 - 19*v = 0 for v.
-2/5, 9
Let k(i) be the second derivative of 363*i**5/80 + 627*i**4/16 + 111*i**3/8 + 15*i**2/8 - 254*i - 1. Let k(n) = 0. Calculate n.
-5, -1/11
Suppose -4*o + 5*v - 1500 = 0, o = 2*v - 284 - 94. Let n = o + 372. Suppose -5/9*m**n + 7/9*m**3 - 2/9*m + 0 = 0. What is m?
-2/7, 0, 1
Let t(u) = 11*u - 54. Let i be t(8). Factor -15*n**3 + 13*n**2 + 20*n**3 - 4*n - 38*n**2 + i*n.
5*n*(n - 3)*(n - 2)
Let x(p) be the first derivative of -p**4/32 - 7*p**3/24 + 39*p**2/8 - 843. Factor x(b).
-b*(b - 6)*(b + 13)/8
Suppose 81 = -5359*n + 5383*n + 9. Solve b**n + 2/3*b**2 + 0 + 0*b + 1/3*b**4 = 0 for b.
-2, -1, 0
Let h be (2/4)/(-7 - (13 - (-15784)/(-784))). Let b(f) be the second derivative of h*f**2 + 14/39*f**3 + 1/78*f**4 + 24*f + 0. Solve b(p) = 0 for p.
-7
Suppose 2*o = 6, 4*a - o - 349 = -80. Suppose -35*r = -173 + a. Suppose -2/7*w**2 - 6/7 + 10/7*w - 2/7*w**r = 0. What is w?
-3, 1
Let d(r) be the second derivative of -r**4/60 - 107*r**3/30 + 984*r**2/5 - 53*r - 18. Factor d(w).
-(w - 16)*(w + 123)/5
Let n be 12240/864*(-354)/(-15) - -19. Factor -1532/9*j**2 - 94/3*j - n*j**3 - 250/9*j**5 - 550/3*j**4 - 2.
-2*(j + 3)**2*(5*j + 1)**3/9
Let s = 10583 - 42331/4. Let p be ((-2)/4)/(2 + -3). Solve 5/4*m**2 - p*m + 0 + s*m**4 - m**3 = 0 for m.
0, 1, 2
Factor -1/4*p**2 - 136161 + 369*p.
-(p - 738)**2/4
Suppose -3*x = -2*d - 9, -2*x + 31 - 6 = 5*d. Suppose -3*t + 50 = 4*p, 2*t - t - x*p = 23. Find w such that 2*w**2 + 4*w**3 + 2*w**4 - 18*w + t*w = 0.
-1, 0
Let g(a) be the first derivative of 8/3*a**3 + 0*a**4 + 0*a + 1/120*a**6 + 14 - 1/40*a**5 + 0*a**2. Let t(c) be the third derivative of g(c). Factor t(r).
3*r*(r - 1)
Suppose -180 = t + 2*t. Let u be (-19)/(-7) + (t/(-35))/6. Factor -2*w**3 + w**5 - 8*w**3 + 5*w**u + 4*w**3 - 2*w**2 + 2*w**4.
w**2*(w - 1)*(w + 1)*(w + 2)
Factor 16*f**3 + 1676*f - 16 - 504 - 111*f**2 + 242*f**2 + 365*f**2 + 12*f**3.
4*(f + 5)*(f + 13)*(7*f - 2)
Let f(c) be the first derivative of c**6/1440 - c**5/10 + 6*c**4 + 103*c**3/3 + 83. Let p(g) be the third derivative of f(g). Factor p(a).
(a - 24)**2/4
Let i(p) = -p**2 - 49*p