= 0.
-4/9, 0, 42
Suppose -2*m = -36 - 60. Suppose -4*q + m = -0*q. Suppose 6*n**3 + q*n**2 + n**4 - 3*n**3 + 0*n**4 - 12*n - 4*n**4 = 0. Calculate n.
-2, 0, 1, 2
Solve 2/5*o**3 - 8/5 - 2/5*o**5 + 23/5*o**2 - 9/5*o**4 - 6/5*o = 0.
-4, -2, -1/2, 1
Let b(k) = -4*k**4 + 212*k**3 - 195*k**2 - 353*k - 84. Let p(r) = -16*r**4 + 850*r**3 - 779*r**2 - 1411*r - 327. Let j(n) = -9*b(n) + 2*p(n). Solve j(q) = 0.
-1/2, 2, 51
Let x = 13290 - 13259. Let h(m) be the second derivative of -1/6*m**3 + 0 + x*m + 0*m**2 + 1/24*m**4. Determine u, given that h(u) = 0.
0, 2
Suppose -2066 - 1450 = -699*l - 180*l. Suppose 0*v**3 + 1/6*v**l - 7/6*v**2 + v + 0 = 0. Calculate v.
-3, 0, 1, 2
Let h(r) be the third derivative of r**5/60 - 43*r**4/24 - 94*r**3/3 - 1303*r**2. Solve h(z) = 0 for z.
-4, 47
Let u(g) be the second derivative of 21/2*g**2 - 7/180*g**4 - 33*g + 2/15*g**3 + 0 + 1/450*g**5. Let y(l) be the first derivative of u(l). Factor y(v).
2*(v - 6)*(v - 1)/15
Factor -138*y + 943 + 48*y**3 - 46*y**3 + 56*y**2 + 490*y - 303.
2*(y + 4)**2*(y + 20)
Let z(v) be the first derivative of v**6/3 - 5*v**5 + 107*v**4/4 - 172*v**3/3 + 22*v**2 + 80*v - 2106. Solve z(r) = 0 for r.
-1/2, 2, 4, 5
Let t(g) be the first derivative of 4*g - 7/4*g**5 + 1/3*g**6 + 5/6*g**3 - 4 - 5*g**2 + 5/2*g**4. Let n(s) be the first derivative of t(s). Solve n(r) = 0.
-1/2, 1, 2
Let y = 689/12 - 8659/132. Let x = 641/77 + y. Factor 6/7*j + x*j**2 - 1.
(j - 1)*(j + 7)/7
Let t(o) be the first derivative of -185 + 4/3*o + 7/6*o**4 - 7/3*o**2 - 4/9*o**3. Suppose t(u) = 0. Calculate u.
-1, 2/7, 1
Suppose -209*i - 189 = -216*i. Determine c, given that -2077 - i*c**3 + 407*c**2 + 15*c**3 + 250 + 16*c**3 + 10302*c - 774 = 0.
-51, 1/4
Suppose 6*c - 6 = 6. Let l(g) = 203*g**2 - 1 - 202*g**c + 2. Let b(r) = 23*r**2 - 40*r - 22. Let u(s) = b(s) + 2*l(s). Let u(t) = 0. What is t?
-2/5, 2
Let f(t) = 2*t**2 - 8*t + 1. Let j(n) = 32*n + 21 - n - 24 - 16*n - 3*n**2. Let b(d) = 9*f(d) + 5*j(d). Suppose b(v) = 0. What is v?
-2, 1
Let z(u) be the third derivative of 4/75*u**5 + 35*u + 0 - 1/300*u**6 - 1/3*u**4 + 16/15*u**3 + 2*u**2. Factor z(n).
-2*(n - 4)*(n - 2)**2/5
Let i = 99796 - 99792. Factor -1/6*h**i - 1/6 + 1/3*h**2 + 0*h + 0*h**3.
-(h - 1)**2*(h + 1)**2/6
Factor 2008/15*v + 96/5 - 98/15*v**3 + 3472/15*v**2.
-2*(v - 36)*(7*v + 2)**2/15
Let u(x) be the third derivative of -2*x**7/105 + 58*x**6/5 - 28486*x**5/15 - 51910*x**4 - 1602050*x**3/3 + x**2 - 772. Factor u(d).
-4*(d - 179)**2*(d + 5)**2
Suppose -18 = -10*b + 12. Suppose 56 - 24*r**2 - 2*r**5 - 26*r**2 - 11*r**b + 23*r**4 + 48*r - 5*r**4 - 11*r**3 = 0. What is r?
-1, 2, 7
Suppose 354*c + 24*c - 23*c = -266*c + 1242. Factor -c*o**2 - 7/4*o - 1/4*o**3 + 0.
-o*(o + 1)*(o + 7)/4
Solve 6*m**4 + 159*m + 120 + 23*m - 315*m**2 + 83*m + 12*m**4 - 3*m**4 - 85*m**3 = 0 for m.
-3, -1/3, 1, 8
Suppose -4*d + 570 = -2*y + 542, 3*d - 28 = -2*y. Let j(n) be the first derivative of 44/9*n**3 + 12 - 8/3*n**2 - 4/3*n - y*n**4. Find f, given that j(f) = 0.
-1/6, 1
Let i(j) = -20*j + 172. Let p be i(7). Let l be 12/9*(-6)/(-4). Let 3*c**4 + 5*c**4 - 585*c**2 + 553*c**2 + p*c - l*c**5 = 0. What is c?
-2, 0, 2
Let g(q) be the second derivative of q**3/6 + 4*q**2 - 24*q. Let h be g(5). Factor -15*a**5 - h*a**5 + 31*a**2 + 41*a**2 + 176*a**4 - 300*a**3.
-4*a**2*(a - 3)**2*(7*a - 2)
Let t(z) be the first derivative of 7*z**6/9 - 22*z**5/5 + 11*z**4/6 + 46*z**3/3 + 6*z**2 - 1870. Let t(j) = 0. What is j?
-1, -2/7, 0, 3
What is g in -165*g**2 - 11877/8*g**3 - 9/2*g + 0 + 4107/8*g**4 = 0?
-2/37, 0, 3
Let b = -15 + 17. Let x be ((-8)/(-5))/(b - (-120)/(-70)). Factor -12/5*h**3 + 8/5*h**2 + 8/5 + x*h.
-4*(h - 2)*(h + 1)*(3*h + 1)/5
Let g(i) be the third derivative of 0*i + 0*i**3 + 13/30*i**6 + 0 + 2/105*i**7 - 49*i**2 + 6*i**4 + 16/5*i**5. Suppose g(b) = 0. Calculate b.
-6, -1, 0
Let f(q) be the second derivative of -q**5/90 - 445*q**4/18 - 198025*q**3/9 - 88121125*q**2/9 - 2015*q. Factor f(z).
-2*(z + 445)**3/9
Let y be (3 - 3) + (-15848)/(-36). Let l = -440 + y. Factor -2/9 + l*w**3 + 2/9*w**2 - 2/9*w.
2*(w - 1)*(w + 1)**2/9
Let a(u) = -15*u**2 - 5*u - 9. Let p be a(-6). Let o = p - -522. Factor 6/7*w**2 + 3/7*w**o - 3/7*w - 6/7.
3*(w - 1)*(w + 1)*(w + 2)/7
Let l(t) be the second derivative of t**6/6 - 55*t**5/4 - 95*t**4/2 + 45*t - 43. Factor l(x).
5*x**2*(x - 57)*(x + 2)
Let r(a) be the second derivative of -a**5/50 + 14*a**4/15 - 53*a**3/15 + 26*a**2/5 - 1134*a - 2. Factor r(j).
-2*(j - 26)*(j - 1)**2/5
Let q(o) be the first derivative of -2*o**5/85 - 39*o**4/17 - 960*o**3/17 + 3200*o**2/17 + 2887. Find a such that q(a) = 0.
-40, 0, 2
Let 63/2 - 15*s**3 - 1/4*s**5 - 355/4*s - 5*s**4 + 155/2*s**2 = 0. Calculate s.
-14, -9, 1
Suppose h + 487 - 497 = -n, 4*n - 2*h = -2. Factor -18/7*f**2 - 2/7*f**4 + 0*f + 12/7*f**n + 0.
-2*f**2*(f - 3)**2/7
Let k(b) be the first derivative of b**5/30 + 3*b**4/4 + 8*b**3/3 + b**2/2 - 18*b + 52. Let t(n) be the second derivative of k(n). Suppose t(w) = 0. What is w?
-8, -1
Let o(x) be the first derivative of x**6/70 + 3*x**5/28 + 2*x**4/7 + 2*x**3/7 + 38*x - 60. Let c(a) be the first derivative of o(a). Factor c(z).
3*z*(z + 1)*(z + 2)**2/7
Let y(b) be the first derivative of -b**6/720 + b**5/40 + b**4/3 - 38*b**3 + 113. Let r(a) be the third derivative of y(a). Factor r(x).
-(x - 8)*(x + 2)/2
Let n(x) = 28*x**4 + 126*x**3 - 149*x**2 + 97*x. Let h(j) = -10*j**4 - 42*j**3 + 48*j**2 - 32*j. Let t(i) = -17*h(i) - 6*n(i). Factor t(z).
2*z*(z - 19)*(z - 1)**2
Factor 147*n**2 + 4917*n + 106 - 4483*n + n**3 + 175 - 55 + 62.
(n + 1)*(n + 2)*(n + 144)
Let f(j) = 79*j - 7. Let h be f(1). Let b be (h/105)/(8/28 - 0). What is t in -18/5 - 2/5*t**2 - b*t = 0?
-3
Let m be -20 + (-4379)/(-203) + (-3)/(-7). Let f(d) be the second derivative of 1/16*d**4 + 0 + 3/8*d**2 + m*d + 1/4*d**3. Solve f(a) = 0 for a.
-1
Let v = 8787 + -26360/3. Let j(q) be the first derivative of 35 + v*q**3 - 3/2*q**2 - 10*q. Factor j(o).
(o - 5)*(o + 2)
Let k(h) = h**3 - 9*h - 24 + 21 + h**2 - 9. Let b be k(-2). Factor -2/5*f + 0 - 8/5*f**4 - 4/5*f**b + 14/5*f**3.
-2*f*(f - 1)**2*(4*f + 1)/5
Let s(k) be the third derivative of -k**5/60 - k**4/24 + 33*k**3/2 - 3*k**2 + 25*k. Let m be s(8). Let 9*c + m + 3/4*c**2 = 0. Calculate c.
-6
Solve -2*c - 34*c + 5 + 8 - 2*c**2 - 26*c + 191 = 0 for c.
-34, 3
Let a be (-8 + (-42)/(-6))/((-15)/6 - (-14)/7). Factor 1/8*x**5 + 33/8*x**3 - 31/8*x**a + 5/4*x - 13/8*x**4 + 0.
x*(x - 10)*(x - 1)**3/8
Let s(y) be the first derivative of y**4/16 + 14*y**3 + 6885*y**2/8 - 7225*y/2 - 2947. Determine j, given that s(j) = 0.
-85, 2
Let -48/5*a**2 - 162/5*a + 2/15*a**5 + 4/3*a**4 + 12/5*a**3 - 108/5 = 0. What is a?
-6, -3, -1, 3
Let m(f) be the second derivative of -f**6/60 + 3*f**5/20 + f**4/8 - 13*f**3/3 + 15*f**2 - 4*f - 93. Factor m(j).
-(j - 5)*(j - 2)**2*(j + 3)/2
Let c(u) be the second derivative of u**5/70 + 17*u**4/42 + 80*u**3/21 + 64*u**2/7 - 10*u - 47. Factor c(i).
2*(i + 1)*(i + 8)**2/7
Let r = -29 + 2. Let m = -25 - r. Factor -11*w + w + 11*w**m - 6*w**2.
5*w*(w - 2)
Let p(c) be the first derivative of -c**6/4 + 57*c**5/10 - 153*c**4/8 + 49*c**3/2 - 12*c**2 + 3614. Factor p(k).
-3*k*(k - 16)*(k - 1)**3/2
Let n(g) be the third derivative of 0 + 56*g**2 + 0*g - 1/10*g**5 + 0*g**3 - 1/120*g**6 - 5/24*g**4. Find p, given that n(p) = 0.
-5, -1, 0
Let l(r) be the first derivative of 0*r**3 - 1/9*r**4 + 0*r - 19/2*r**2 + 1/90*r**5 - 8. Let f(y) be the second derivative of l(y). Factor f(u).
2*u*(u - 4)/3
Let i be (-6283)/244 - (-54 - -26). Let -3/8*d**5 - 3/4*d**2 - 3/8*d**4 + i*d**3 - 15/8*d + 9/8 = 0. Calculate d.
-3, -1, 1
Let h(o) = 59*o**2 - 314*o - 3583. Let v(u) = 7*u**2 - 41*u - 448. Let s(f) = 6*h(f) - 51*v(f). Factor s(j).
-3*(j - 75)*(j + 6)
Let b be (359 - 354)/(-1*36/(-8)). Factor 2*f**3 + b*f**4 + 0 + 2/9*f**5 + 4/9*f + 14/9*f**2.
2*f*(f + 1)**3*(f + 2)/9
Suppose -6889/4 - 1/4*c**2 - 83/2*c = 0. Calculate c.
-83
Let s(x) = -111*x + 228*x + 0*x**2 - 116*x - x**2. Let r(d) = -11*d**2 - 129*d. Let j(f) = r(f) - 6*s(f). Factor j(i).
-5*i*(i + 27)
Let j(f) = 5*f**2 - 35*f + 21. Let b be j(6). Let q be (-1 - -1) + 9*b/(-486). Factor 1/6*a - q + a**2.
(2*a + 1)*(3*a - 1)/6
Let y(f) = 5*f**3 + 276*f**2 + 1204*f - 3567. Let m(d) = -4*d**2 - d + 3. 