= -2*h + 15, -4*v - 22 = -2*h. Let j be (-255)/(-476) - (-1 + (-10)/v). Let j*g**4 - 4/7*g - 4/7*g**5 + 2/7 - 4/7*g**2 + 8/7*g**3 = 0. What is g?
-1, 1/2, 1
Suppose 5*b + 3*y - 2*y = 47, 2*b = -y + 17. Factor -209*n**3 - b*n + 112*n**3 + 15*n**2 + 107*n**3.
5*n*(n + 2)*(2*n - 1)
Find y such that -24*y + 36/5*y**2 - 2/5*y**3 + 112/5 = 0.
2, 14
Let n(g) = -9*g**3 - 31*g**2 + 29*g + 36. Let m be n(-4). Let 13/10*y**2 + m*y - 1/10*y**3 + 0 = 0. What is y?
0, 13
Let a(m) = 2*m**3 - 58*m**2 - 663*m + 219. Let s be a(-9). Find j such that -125/2 + s*j**2 + 25*j + 7*j**3 + 1/2*j**4 = 0.
-5, 1
Let 4*x**3 + 6*x**5 - 18*x**5 + 39*x**2 + x**4 + 18*x + 19*x**3 + 11*x**5 = 0. What is x?
-3, -1, 0, 6
Let q = -8994 - -8999. Let p(d) be the third derivative of 0*d**3 + 0*d + 1/30*d**6 - 1/15*d**4 + 1/25*d**q - 26*d**2 + 0. Factor p(r).
4*r*(r + 1)*(5*r - 2)/5
Let r(m) = -30*m**3 + 45*m**2 - 5*m - 5. Let g(w) = 31*w**3 - 45*w**2 + 6*w + 4. Let j = 294 - 299. Let n(b) = j*g(b) - 4*r(b). Factor n(k).
-5*k*(k - 1)*(7*k - 2)
Let z = 713 + -728. Let p be (-456)/(-80) + (-12)/z + -5. Factor -3*d**3 + 9/4*d + 3/2*d**2 + 0*d**4 - p + 3/4*d**5.
3*(d - 1)**3*(d + 1)*(d + 2)/4
Let q(d) be the third derivative of -d**6/120 - 589*d**5/5 - 1040763*d**4/2 + 5*d**2 + 3*d - 38. Factor q(s).
-s*(s + 3534)**2
Let a(s) be the first derivative of s**6/630 - 32*s**5/105 + 512*s**4/21 + 61*s**3/3 - 50. Let c(t) be the third derivative of a(t). Let c(p) = 0. What is p?
32
Let o(a) = -a**3 + 10*a**2 + 9*a + 22. Let p be o(10). Let r = -103 + p. Factor -35*w + 29*w + 3*w**3 + 3*w**4 + 3*w**5 + 6*w**4 - r*w**2.
3*w*(w - 1)*(w + 1)**2*(w + 2)
Factor -57*s + 239*s - 56*s - 64*s - 57*s - 5*s**3 + 85*s**2 - 85.
-5*(s - 17)*(s - 1)*(s + 1)
Let z(c) be the first derivative of 2*c**3/15 + 382*c**2 + 364810*c + 3484. Find x, given that z(x) = 0.
-955
Let i(n) be the first derivative of n**4/114 + 20*n**3/57 - 21*n**2/19 + 119*n - 152. Let p(c) be the first derivative of i(c). Let p(g) = 0. What is g?
-21, 1
Let q = -76 - -79. Factor -113*k + 33*k**2 + 12*k - 19*k + q*k**3 + k**3 + 84 - k**3.
3*(k - 2)*(k - 1)*(k + 14)
Let i(s) be the second derivative of -s**8/53760 - s**7/5040 - s**6/1920 - 2*s**4/3 + s**3/6 - 111*s. Let u(z) be the third derivative of i(z). Factor u(l).
-l*(l + 1)*(l + 3)/8
Let w(c) be the first derivative of -3*c**5/50 - c**4/6 + 8*c**3/15 + 64*c + 6. Let u(v) be the first derivative of w(v). Factor u(j).
-2*j*(j - 1)*(3*j + 8)/5
Let d(b) be the first derivative of b**6/24 + 7*b**5/12 + 5*b**4/2 + 3*b**2 + 5*b + 57. Let j(l) be the second derivative of d(l). Factor j(f).
5*f*(f + 3)*(f + 4)
Let r(h) = 27*h**3 + 99*h**2 + 6*h - 6. Let f(t) = -t**3 - t**2 - 2*t - 1. Let q be (18/36)/(2/(-24) - 0). Let s(j) = q*f(j) + r(j). Factor s(w).
3*w*(w + 3)*(11*w + 2)
Let f(r) be the first derivative of -34 - 8640*r + 175/4*r**4 + 3240*r**2 + r**5 + 660*r**3. Let f(c) = 0. Calculate c.
-12, 1
Suppose -408*k + 864*k - 417*k - 100 - 17 = 0. Let -88/3*m - 14*m**k + 43*m**2 - 11/3*m**4 + 4 = 0. Calculate m.
-6, 2/11, 1
Let c(l) be the third derivative of l**8/2688 - l**7/840 - 7*l**6/960 + l**5/60 + l**4/16 + 2*l**2 - 5*l - 3. Determine f so that c(f) = 0.
-2, -1, 0, 2, 3
Let a(i) be the first derivative of 3*i**4/4 + 11*i**3 - 24*i**2 - 960*i - 1044. Factor a(x).
3*(x - 5)*(x + 8)**2
Let t(c) = c**2 - 13*c + 46. Let p be t(7). Factor -236*h - 7*h**4 + 12*h**p + 405 - 103*h + 80*h**3 - 381*h + 230*h**2.
5*(h - 1)**2*(h + 9)**2
Let y(q) be the third derivative of -q**6/720 - q**5/3 - 93*q**4/4 + 3844*q**3/9 + 619*q**2. Factor y(s).
-(s - 4)*(s + 62)**2/6
Let b(a) = -34*a - 882. Let q be b(-26). Let d(n) be the first derivative of 9/5*n**q + 0*n + 11/5*n**3 + 3/25*n**5 - 39 + 9/10*n**4. Factor d(p).
3*p*(p + 1)*(p + 2)*(p + 3)/5
Let i(x) be the second derivative of x**7/315 + 2*x**6/45 + 19*x**5/90 + x**4/3 + 85*x**2/2 + 56*x. Let u(l) be the first derivative of i(l). Factor u(h).
2*h*(h + 1)*(h + 3)*(h + 4)/3
Let p(c) = 3*c**2 + 25*c + 55. Let k be p(-5). Let m(i) be the first derivative of 2 + 3/10*i**k + 0*i - i**3 + 9/16*i**4 - 1/8*i**6 - 3/2*i**2. Factor m(s).
-3*s*(s - 2)**2*(s + 1)**2/4
Let t(d) be the second derivative of -d**7/14 + d**6/2 - 9*d**5/10 - d**4/2 + 7*d**3/2 - 9*d**2/2 + 2*d + 1860. Factor t(f).
-3*(f - 3)*(f - 1)**3*(f + 1)
Suppose -4*n + 5421 - 5421 = 0. Let c(r) be the second derivative of 0 - 1/5*r**5 - 24*r - r**4 + n*r**3 + 8*r**2. Factor c(h).
-4*(h - 1)*(h + 2)**2
What is z in 0 - 228/7*z**2 + 10/7*z**3 - 288/7*z = 0?
-6/5, 0, 24
Let s(u) be the first derivative of -u**4/2 - 12*u**3 - 87*u**2 - 220*u - 733. Determine o, given that s(o) = 0.
-11, -5, -2
Suppose -116*x + 161 + 231 - 44 = 0. Let n(u) be the first derivative of 1/3*u**2 + 1/18*u**x + 1/2*u + 35. Find w, given that n(w) = 0.
-3, -1
Let -t**4 - 8*t**3 + 43*t**2 - 2*t**3 + 8*t**3 - 14*t + 54*t + 4*t**3 = 0. Calculate t.
-5, -1, 0, 8
Let 51*i + 867/2 + 3/2*i**2 = 0. Calculate i.
-17
Let f(z) be the second derivative of z**4/24 + 7*z**3/3 - 15*z**2 - 8*z + 108. Find j such that f(j) = 0.
-30, 2
Let f(n) be the third derivative of 0*n + 0*n**5 + 24*n**2 - 17/6*n**3 + 1/1260*n**6 + 0 - 1/21*n**4. Let b(k) be the first derivative of f(k). Factor b(u).
2*(u - 2)*(u + 2)/7
Let b(c) be the first derivative of c**4/8 - 26*c**3/3 + 7657. Factor b(h).
h**2*(h - 52)/2
Let r be 4/(-6)*(36 + (-5 - -5)). Let j be r/(-114) + (-8)/76. Solve -j*d - 2/19 + 2/19*d**3 + 2/19*d**2 = 0 for d.
-1, 1
Let n = -1598 - -1600. Let b(k) be the first derivative of 0*k**n + 3/10*k**5 + 0*k - 1/4*k**6 + 3/8*k**4 - 1/2*k**3 - 2. Factor b(y).
-3*y**2*(y - 1)**2*(y + 1)/2
Let s(z) be the first derivative of 0*z + 5/9*z**4 + 2/45*z**5 - 10/9*z**2 - 2/27*z**3 + 76. Factor s(p).
2*p*(p - 1)*(p + 1)*(p + 10)/9
Let w be 2/8 - 7/(-36). Let c = -2279/2 + 20519/18. Determine p, given that 1/9*p**2 + c - w*p = 0.
2
Suppose 8*l - 12*l + 4 = 0. Let q(g) = g**3 - g**2 + 2. Let b(f) = 5*f**4 + 14*f**3 + 11*f**2 - 2. Let u(m) = l*q(m) + b(m). Factor u(i).
5*i**2*(i + 1)*(i + 2)
Let m(d) be the second derivative of d**7/154 - 19*d**6/66 + 953*d**5/220 - 73*d**4/4 - 308*d**3/3 + 242*d**2 + 1503*d. Suppose m(g) = 0. Calculate g.
-2, 2/3, 11
Let y(n) be the second derivative of 55/4*n**4 + 1 + 8/3*n**6 + 58/5*n**5 + 22/3*n**3 + 2*n**2 + 18*n. Determine s, given that y(s) = 0.
-2, -2/5, -1/4
Let d(k) be the second derivative of k**8/7560 - k**7/3780 - k**6/810 - k**3/6 - 225*k**2/2 - 3*k + 1. Let a(t) be the second derivative of d(t). Factor a(p).
2*p**2*(p - 2)*(p + 1)/9
Suppose 12249*l - 12246*l + p - 14 = 0, -5 = -p. Factor 6*n + n**2 - 3/2*n**l + 4 - 1/2*n**4.
-(n - 2)*(n + 1)*(n + 2)**2/2
Let g = -254/11 - -2855/66. Let d(v) = v**3 - 23*v**2 - 27*v + 77. Let x be d(24). Factor 760/3*s**2 + 200/3*s + 16/3 + 385/3*s**4 + g*s**x + 860/3*s**3.
(s + 2)**3*(11*s + 2)**2/6
Suppose -5124/13*q**2 + 2494/13*q**3 + 328/13*q + 3786/13*q**4 + 240/13 + 616/13*q**5 = 0. What is q?
-5, -2, -2/11, 2/7, 3/4
Let x(v) be the second derivative of v**7/210 - 3*v**6/25 - v**5 + 279*v**4/10 + 477*v**3/2 + 540*v**2 - 8381*v. Determine t so that x(t) = 0.
-8, -3, -1, 15
Let m(z) be the second derivative of 0*z**3 + 7/2*z**4 + 6/5*z**6 + 0*z**2 + 0 + 1/14*z**7 - 81/20*z**5 - 76*z. Factor m(h).
3*h**2*(h - 1)**2*(h + 14)
Let g(j) be the second derivative of -j**5/75 - 11*j**4/15 - 242*j**3/15 - 4*j**2 + 43*j. Let k(x) be the first derivative of g(x). Factor k(c).
-4*(c + 11)**2/5
Let m(w) be the second derivative of -2 - 2/7*w**4 - 16/7*w**2 + w + 8/7*w**3 + 1/35*w**5. Factor m(f).
4*(f - 2)**3/7
Suppose 7*x - 99 = 104. Let g(a) = -a**2 + 30*a - 26. Let p be g(x). Factor -2*o**p + 2*o + 6/5 - 6/5*o**2.
-2*(o - 1)*(o + 1)*(5*o + 3)/5
Let l(f) be the first derivative of -3*f**4/4 + 17*f**3 + 267*f**2/2 - 315*f + 5096. Factor l(t).
-3*(t - 21)*(t - 1)*(t + 5)
Suppose 0 = -4*r + 2*a - 56 - 84, 5*a = 2*r + 78. Let d be 1/20*(-17)/(r/15). Factor 0*w - d*w**2 + 0 + 3/8*w**3.
3*w**2*(w - 1)/8
Let b(z) be the second derivative of 5*z**4/12 + 25*z**3/6 + 10*z**2 - 1030*z. Factor b(r).
5*(r + 1)*(r + 4)
Let a be 108/(-120)*(-32)/(-24)*10/(-6). Let k(l) be the third derivative of -1/6*l**4 + 0*l + 0 + 30*l**a - 1/15*l**5 + 4/3*l**3. Solve k(c) = 0.
-2, 1
Let a be (-272)/(-28) + -11 - 180/