.
2*h**2*(h - 2)*(h + 7)/5
Let w be (-520)/140 - (-24984)/756. Factor -64/3*q - 16*q**3 - w*q**2 - 16/3 - 3*q**4.
-(q + 2)**2*(3*q + 2)**2/3
Suppose -6*b = -b + 60. Let g(m) = 16*m**2 + 44*m + 64. Let n(d) = -d - 102 - 104 + 206 - d**2. Let h(f) = b*n(f) - g(f). Factor h(a).
-4*(a + 4)**2
Let b be (-114)/8 + 6/120*5. Let m be 6/(-2) - (3*b - 0). What is f in 12*f - 36 + m*f**2 + 38*f**2 - 78*f**2 = 0?
6
Let n(z) be the second derivative of 160*z**7/63 + 208*z**6/15 + 79*z**5/5 + 65*z**4/9 + 4*z**3/3 + 2*z + 2236. Let n(d) = 0. What is d?
-3, -2/5, -1/4, 0
Let g be ((-1)/(-3))/(0 - -1). Let u(w) = w**3 + 20*w**2 - 420*w - 8398. Let n be u(-20). Factor -g*m**n + 2/3 - 1/3*m.
-(m - 1)*(m + 2)/3
Let q be ((-3380)/(-91))/(-130) - (2 - (-78)/(-28)). Factor 0*x**2 - 1/4*x**3 - q + 3/4*x.
-(x - 1)**2*(x + 2)/4
Let o(t) be the third derivative of 1/2352*t**8 + 0*t + 11/280*t**6 + 0*t**3 + 2/21*t**4 + 0 - 2/21*t**5 - 1/147*t**7 - 85*t**2. Determine g so that o(g) = 0.
0, 1, 4
Let m = -2103 - -2123. Let l be 2/m + (153/20 - 7). Factor -9/4*i + 3 - l*i**2.
-3*(i - 1)*(i + 4)/4
Let -170*a - 83*a**3 + 37*a**3 + 2*a**4 - 81*a**2 + 161*a**2 + 134*a**2 = 0. What is a?
0, 1, 5, 17
Let l = 108 + -106. Let z(t) = -6*t**2 + 12*t + 18. Let a(g) = -7*g**2 + 12*g + 19. Let f(y) = l*a(y) - 3*z(y). Suppose f(u) = 0. Calculate u.
-1, 4
Let j be 3/(-2)*48/(-18). Suppose j + 2 = 2*x. Let -8*m**4 + 4*m**x - 7*m**5 - 73*m**2 + 81*m**2 + 3*m**5 = 0. What is m?
-2, -1, 0, 1
Solve 75*w + 916/3*w**2 - 11*w**3 - 28/3 = 0 for w.
-1/3, 1/11, 28
Let t(s) = -4*s**3 - 672*s**2 - 54356*s + 414174. Let r(b) = b**3 - b**2 + 2*b + 1. Let a(w) = -2*r(w) - t(w). Determine f so that a(f) = 0.
-172, 7
Let n be ((-10)/(-30)*-6)/(-3). Suppose -16*q + 170 = 138. Determine z so that -n*z - 2/3*z**q + 2/3 + 2/3*z**3 = 0.
-1, 1
Let a(t) be the third derivative of t**8/840 - 29*t**7/525 + 9*t**6/50 + t**5/75 - 11*t**4/12 + 9*t**3/5 + 142*t**2 - 2. Suppose a(f) = 0. Calculate f.
-1, 1, 27
Let b(a) = 3*a**2 + a + 2. Let t be b(-1). Suppose -4*d = 3*c + 16, 2*c + 202 = -4*d + 186. Factor 1/8*h**5 - 1/4*h**t + c*h**2 + 0 + 0*h**3 + 0*h.
h**4*(h - 2)/8
Suppose -c - 2 = -3, -2 = k - 5*c. Determine a, given that 8*a**2 - 107 + 66*a - 2*a**k + 161 + 2*a**2 = 0.
-3, -1, 9
Let d(o) be the third derivative of o**8/1120 + 3*o**7/560 - o**6/60 - 20*o**3 + 86*o**2. Let x(j) be the first derivative of d(j). Let x(f) = 0. Calculate f.
-4, 0, 1
Let o(c) be the first derivative of -c**6/6 + 16*c**5/5 - 31*c**4/2 + 80*c**3/3 - 33*c**2/2 - 593. Factor o(g).
-g*(g - 11)*(g - 3)*(g - 1)**2
Let w = 103 + -23. Let q be 122/w - 398/995. Let 147/8*x**2 + 57/8*x**4 + 3/2 + q*x**5 + 135/8*x**3 + 9*x = 0. Calculate x.
-2, -1, -1/3
Let t(p) = -p**3 - 2*p**2 + 37*p + 1. Let m be t(5). Factor 23*r - 11*r + 3*r**3 + m*r**2 - r**2 + 2*r**2.
3*r*(r + 2)**2
Determine w, given that -338/3*w**2 + 0 - 113*w + 1/3*w**3 = 0.
-1, 0, 339
Let s(n) be the first derivative of n**4/132 + 5*n**3/66 - 7*n**2/11 + 64*n - 171. Let j(r) be the first derivative of s(r). Solve j(o) = 0.
-7, 2
Let u(v) be the first derivative of v**9/756 - v**8/210 - v**7/70 + v**3/3 - 30*v + 60. Let o(y) be the third derivative of u(y). Factor o(b).
4*b**3*(b - 3)*(b + 1)
Suppose 2*g + 208 = 200. Let k be (-3)/(-14) + 3/((-42)/g). Factor k*f**2 + 0 + 1/4*f**3 + 0*f.
f**2*(f + 2)/4
Suppose -3*w = 5*p - 2*w - 45, 0 = 4*p - 2*w - 50. Let x(r) be the first derivative of -2/3*r + 1/9*r**3 - 1/6*r**2 + p. Factor x(o).
(o - 2)*(o + 1)/3
Let d(v) = 7*v**2 + 1. Let n(p) = -254*p**2 - 306*p - 76. Let l(u) = 10*d(u) - 2*n(u). Determine c, given that l(c) = 0.
-9/17
Let s(l) be the first derivative of -4*l**3/15 + 8*l**2/5 + 36*l - 2398. Suppose s(c) = 0. What is c?
-5, 9
Let k(h) = -h**2 - 20*h + 3. Let u be k(-20). Factor -32*l + 243*l**4 - 244*l**4 + 4*l**u + 10*l**2 - 64 - 8*l**2 + 10*l**2.
-(l - 4)**2*(l + 2)**2
Suppose -12 = 637*f - 641*f. Find u, given that 18*u - 28 + 18*u - 36*u**2 - 2*u + 4*u**f + 26*u = 0.
1, 7
Suppose 2*p**2 + 0 - 2/13*p**4 + 20/13*p + 4/13*p**3 = 0. What is p?
-2, -1, 0, 5
Let l(b) be the second derivative of -3/20*b**5 - 66*b + 1/14*b**7 + 0*b**3 + 0*b**2 - 3/4*b**4 - 2 + 3/10*b**6. Suppose l(t) = 0. Calculate t.
-3, -1, 0, 1
Let n = -8348/3 + 8350/3. Factor 2/3*z + 4/3*z**2 + 0 + n*z**3.
2*z*(z + 1)**2/3
Let d(m) be the third derivative of m**6/540 + 139*m**5/135 + 1633*m**4/9 + 4232*m**3/3 - 352*m**2 - 4*m. Determine x, given that d(x) = 0.
-138, -2
Let j(r) = 5*r**3 - r**2 + 8*r - 6. Let x(d) = 2*d**2 - 17*d**3 + 37 - 11 - 15 + 4*d**3 - 15*d. Let m(c) = -10*j(c) - 4*x(c). Let m(g) = 0. Calculate g.
-4, 1, 2
Let o(c) be the third derivative of 7/8*c**4 - 1/20*c**5 + 0 + 9*c**2 + 0*c - 3*c**3. Find u such that o(u) = 0.
1, 6
Let s be (-4)/10 - 1/(35/(-329)). Suppose 11 = 5*f - s. Suppose -b**4 + 9*b**3 - 2*b**4 - f*b + 0*b**4 + 1 - 5*b**3 + 2*b**2 = 0. Calculate b.
-1, 1/3, 1
What is r in -3456*r**2 + 1733*r**2 - 802*r + 1721*r**2 - 800 = 0?
-400, -1
Suppose -p = 4*p. Suppose 3*i + 5*n = 17, p = -n - 0 + 1. Factor 36*b**3 - 112*b - 152*b**2 + 158*b**5 - 162*b**5 - 32 - 136*b**3 - 32*b**i.
-4*(b + 1)**2*(b + 2)**3
Let z(w) be the second derivative of -w**4/4 + 679*w**3/2 - 2031*w**2 - 6040*w. Factor z(n).
-3*(n - 677)*(n - 2)
Factor -1325/4*a**2 - 496*a**4 + 125/2*a + 128*a**5 + 0 + 630*a**3.
a*(a - 2)*(8*a - 5)**3/4
Let m(l) = -2*l**2 - 145*l - 1543. Let i be m(-13). Let r(p) be the second derivative of 1/4*p**i - 4/3*p**3 + 0 + 7*p - 3/2*p**2. Factor r(a).
(a - 3)*(3*a + 1)
Let i = 9788/315 - 1945/63. Factor -3/5*q**3 - i*q + 3/5*q**2 + 1/5*q**4 + 0.
q*(q - 1)**3/5
Let f(a) = -2*a**2 + 42*a + 2. Let j be f(21). Suppose 45*c**j - 42*c**2 + 1 - 1 - 27*c = 0. Calculate c.
0, 9
Factor -66*s**2 - 312*s**2 - 75862*s**3 + 75865*s**3.
3*s**2*(s - 126)
Let g(h) = -25*h**3 - 2060*h**2 - 2350*h + 12205. Let x(s) = -s**3 - 76*s**2 - 87*s + 452. Let p(z) = -2*g(z) + 55*x(z). Factor p(o).
-5*(o - 2)*(o + 5)*(o + 9)
Let k(x) be the second derivative of -x**5/30 - 44*x**4/3 - 7744*x**3/3 - 681472*x**2/3 - 88*x - 3. Determine m, given that k(m) = 0.
-88
Let i = -4235/692 + 1102/173. Factor 100 + i*m**2 + 10*m.
(m + 20)**2/4
Let j(f) = f**3 - 468*f**2 - 5262*f - 3351. Let w be j(479). Determine l so that 37/3*l**3 - 2/3*l**w + 2/3 - 37/3*l = 0.
-1, 2/37, 1
Suppose 11*r + 376 = 2796. Determine q so that -2*q**2 + 106*q - q**2 - 15 + 96*q - r*q = 0.
-5, -1
Let u = -10442 + 3654701/350. Let o(m) be the third derivative of 1/25*m**5 + u*m**7 + 0*m**3 + 0*m + 0*m**4 + 32*m**2 - 1/50*m**6 + 0. Solve o(r) = 0 for r.
0, 2
Let b(n) = -2*n**2 + 35*n**3 - 40*n**3 + 4*n - 5*n. Let w be b(-1). Factor -4/7*j**3 + 0*j - 5/7*j**w - 1/7*j**2 + 0 - 2/7*j**5.
-j**2*(j + 1)**2*(2*j + 1)/7
Let o be (-1)/((-2)/(-128)*8). Let n be (-9 - -3)/(o + 0). Determine z, given that 9/4 + 3/2*z - n*z**2 = 0.
-1, 3
Let v(s) = 5*s**3 + 115*s**2 + 335*s + 385. Let i(q) = -3 + 2 + 2*q + 48*q**2 - 46*q**2 - q. Let x(z) = -20*i(z) + v(z). Factor x(m).
5*(m + 3)**2*(m + 9)
Let u(n) be the third derivative of 2 + 0*n + 9*n**2 + 1/40*n**5 - 3/2*n**3 - 1/16*n**4. Factor u(v).
3*(v - 3)*(v + 2)/2
Let t be 18/(-10)*(-132)/297. Let j(y) be the second derivative of 0*y**2 + 0 - t*y**5 + 4/3*y**4 + 0*y**3 + 20*y + 2/15*y**6. Factor j(a).
4*a**2*(a - 2)**2
Let q(v) be the third derivative of 1/24*v**4 - 23*v**2 + v + 0*v**3 - 1/120*v**6 + 1/60*v**5 + 0 - 1/210*v**7. What is b in q(b) = 0?
-1, 0, 1
Let q(b) be the second derivative of b**6/6 + 15*b**5 + 3*b + 221. Solve q(d) = 0 for d.
-60, 0
Let x be 84/44 - 12/(-145 + 13). Let m be (-29)/(-6) + 7/42. Determine k, given that -8/7 + 4/7*k**3 - 2/7*k - 8/7*k**4 - 2/7*k**m + 16/7*k**x = 0.
-4, -1, 1
Suppose 3*g - 20 = -2. Let o(s) = 3*s**2 + 15*s + 6. Let v(q) = 2*q**2 + 13*q + 6. Let b(c) = g*v(c) - 5*o(c). Factor b(w).
-3*(w - 2)*(w + 1)
Suppose 4*u - 8*t + 9*t + 2 = 0, t = -3*u - 2. Solve u + 0*j + 0*j**2 + 8/9*j**4 - 2/9*j**5 - 2/3*j**3 = 0.
0, 1, 3
Factor -39762 - 1/2*n**3 - 40044*n - 565/2*n**2.
-(n + 1)*(n + 282)**2/2
Suppose -a - 3*b - 1 = 0, 0 = -8*a + 5*a + 3*b - 15. Let p be (a + 10)*3/21. Let -16/7 + p*h**3 + 20/7*h**2 + 8/7*h = 0. What is h?
-2, 2/3
Let 75264*b + 8429568 + 224*b**2 + 2/9*b**3 = 0. What is b?
-336
Let w(u) = -u**3 + u + 1. Let h(m) 