11/220 + ((-65)/(-6) - (-77 + 87)). Factor -2/3*t**2 + 7/3*t + q.
-(t - 4)*(2*t + 1)/3
Let j(c) = 66*c + 277. Let v be j(-4). Factor 7*q**2 + 54*q + 2*q**3 + 26 + v*q**2 + 10*q**2.
2*(q + 1)**2*(q + 13)
Suppose -2*n + 5*c = 1 - 42, -4*c = -5*n + 77. Suppose -n*m + 11*m + 14 = 0. Factor 6*t**2 + 7 - 3*t**3 + m - 14.
-3*t**2*(t - 2)
Let -184*n**4 + 48*n + 33*n**3 + 103*n**4 - 78*n**2 + 78*n**4 = 0. Calculate n.
0, 1, 2, 8
Let h(u) be the first derivative of -8*u - 44/5*u**5 - 18*u**2 + 9*u**4 - 118 + 52/3*u**3. Find m such that h(m) = 0.
-1, -2/11, 1
Suppose 42*x**3 - x**4 + 37*x**3 + 50*x - 121*x**3 + 36*x**3 + 45*x**2 = 0. Calculate x.
-10, -1, 0, 5
Suppose 7*d = 2*d + 15. Factor 25 - 5*s**d + 54*s + 41*s - 25*s**2 - 90*s.
-5*(s - 1)*(s + 1)*(s + 5)
Factor -63/5*m**2 - 3/5*m**3 + 0 + 138/5*m.
-3*m*(m - 2)*(m + 23)/5
Suppose 302 - 128 = -29*p. Let h be (0 - p/3)/((-15)/(-90)). Let 66/7*d**3 + 0 - 15/7*d**4 - h*d**2 + 24/7*d = 0. Calculate d.
0, 2/5, 2
Let b(z) = -18*z**3 - 920*z**2 + 404*z. Let u(k) = 15*k**3 + 920*k**2 - 402*k. Let n(o) = -7*b(o) - 6*u(o). Factor n(y).
4*y*(y + 26)*(9*y - 4)
Let f(b) = 76*b**2 + 968*b - 1076. Let m(a) be the first derivative of 7*a**3/3 + 44*a**2 - 98*a - 94. Let n(d) = -3*f(d) + 32*m(d). Factor n(i).
-4*(i - 1)*(i + 23)
Determine k, given that -2888/5*k - 1042568/5 - 2/5*k**2 = 0.
-722
Let r(q) be the first derivative of -3*q**5/10 + 3*q**4/8 + 2*q**3 - 3*q**2 - 569. Suppose r(v) = 0. What is v?
-2, 0, 1, 2
Suppose 5*h = -14 - 6. Let d(x) = x**3 - 9*x**2 + 15*x + 4. Let f(k) = 8*k**2 - 17*k - 6. Let j(r) = h*d(r) - 3*f(r). Determine y, given that j(y) = 0.
1/2, 2
Let m be 16 - 12 - (2 + (-8943)/(-21)). Let y = m - -426. Find b such that 0 - 6/7*b**3 + 6/7*b - 15/7*b**2 + y*b**4 = 0.
-1, 0, 2/5, 1
Let r(d) = d**3 + 5*d**2 + 4*d + 4. Let v be r(-4). Suppose 0 = -x - 0*x + 4. Let -6*i**3 - 4*i**v - 45*i**2 + 4*i**x + 36*i**3 - 5*i**4 = 0. Calculate i.
0, 3
Suppose 2*k = -2*j - 26, -j + 6*j = 3*k - 25. Let q be (-190)/(-8) - (12/6)/j. Solve 0*i**2 - q*i + 3*i**2 - 12 + 60 = 0 for i.
4
Let j = -19 - -24. Suppose 0 = -j*b + 127 + 113. Factor 32 - 6*d**2 + b + 11*d**2 + 7*d - 47*d.
5*(d - 4)**2
Suppose 279*v - 66 = 81 + 411. Let 24/5*d**v + 4/5*d**3 - 4/5*d - 24/5 = 0. What is d?
-6, -1, 1
Suppose -5*i + 4*b = -402, -i = 12*b - 14*b - 84. Let n be 2 + (-3 - 1) - i/(-21). Factor 0*t**2 - n*t**4 + 0 + 4/7*t**5 + 0*t + 8/7*t**3.
4*t**3*(t - 2)*(t - 1)/7
Let d be (-135)/(-3780) + 82/56. Factor -d*q**2 - 24 - 12*q.
-3*(q + 4)**2/2
Let j(a) be the second derivative of -a + 0*a**3 - 1/72*a**4 - 1/720*a**6 + 0 + 1/120*a**5 - 7/2*a**2. Let d(s) be the first derivative of j(s). Factor d(v).
-v*(v - 2)*(v - 1)/6
Factor -95*b - 1876 - 16*b**2 + 276 - 111*b**2 - 5*b**2 + 4*b**3 + 959*b.
4*(b - 25)*(b - 4)**2
Let z(k) be the third derivative of k**5/120 - 215*k**4/12 + 46225*k**3/3 + 17*k**2 + 2*k. Factor z(l).
(l - 430)**2/2
Suppose 64/3*o**2 + 2/3*o**4 + 76/3*o + 20/3*o**3 + 10 = 0. Calculate o.
-5, -3, -1
Let u = 21529/12345 + -318/4115. Find x, given that u*x**3 + 5/3*x + 10/3*x**2 + 0 = 0.
-1, 0
Let n = 26563 - 26563. Let o(l) be the second derivative of -1/3*l**3 + 40*l + 3/4*l**2 + n + 1/24*l**4. Suppose o(q) = 0. Calculate q.
1, 3
Suppose 526 = -7*v - 209. Let t = -102 - v. Factor d**t + 2*d**5 - 2*d**5 - d**5.
-d**3*(d - 1)*(d + 1)
Suppose 41*v - 42175 = 6*v. Let j = 2413/2 - v. Solve -3*f + 11/4*f**3 - j*f**4 - 1/2*f**2 + 1/4*f**5 + 2 = 0 for f.
-1, 1, 2
Factor -133/2*g**2 + 11/2*g**3 + 144 - 83*g.
(g - 1)*(g + 2)*(11*g - 144)/2
Factor -4/5*k + 1/5*k**3 + 0 + 3/5*k**2.
k*(k - 1)*(k + 4)/5
Let c be ((-4)/6)/(2/(-69)). Let q(r) = r**2 - 15*r - 151. Let v be q(-7). Factor -120*b + 20*b**2 + 30*b**v - 131 + 23*b**4 - 2*b**5 - 13 - c*b**4.
-2*(b - 3)**2*(b + 2)**3
Suppose 4*a + 5*n = 0, -4*a - 162 = -4*n - 162. Let b(p) be the third derivative of 1/420*p**5 + 5/168*p**4 + 0*p - 16*p**2 + 2/21*p**3 + a. Factor b(k).
(k + 1)*(k + 4)/7
Let z(a) be the third derivative of -1/105*a**7 + 1/12*a**6 + 2*a - 4/15*a**5 + 100*a**2 + 1/3*a**4 + 0*a**3 + 0. Determine m, given that z(m) = 0.
0, 1, 2
Let k(i) be the first derivative of 32/3*i + 14/9*i**3 - 45 + 58/3*i**2. What is x in k(x) = 0?
-8, -2/7
Let u(r) be the third derivative of -88*r**2 + 0*r - 2*r**4 - 20/9*r**3 + 0 - 7/90*r**5. Let u(h) = 0. Calculate h.
-10, -2/7
Suppose -l + 558 = -5*u, -3*l + 2*u + 1750 = 6*u. Let t = -576 + l. Factor -8/9*f + 0 + 16/9*f**t + 10/9*f**3.
2*f*(f + 2)*(5*f - 2)/9
Let n(z) be the second derivative of -z**6/30 + 5*z**5/4 + 377*z**4/12 + 225*z**3/2 + 162*z**2 - 7205*z. Factor n(q).
-(q - 36)*(q + 1)**2*(q + 9)
Let b(y) be the first derivative of 0*y**4 - 2/55*y**5 + 0*y**2 + 0*y + 2/33*y**3 + 5. What is h in b(h) = 0?
-1, 0, 1
Let l(v) be the third derivative of -2*v**3 + 1/2*v**4 + 61*v**2 + 3/20*v**5 + 0*v + 0 - 1/70*v**7 - 1/20*v**6. Factor l(n).
-3*(n - 1)**2*(n + 2)**2
Let a be -35*((-8)/10 + -2). Factor -45*x**2 + 27*x - 9*x**4 + 207*x**3 - 76*x**3 - a*x**3 - 6.
-3*(x - 1)**3*(3*x - 2)
Let u(j) be the second derivative of j**6/180 - 29*j**5/120 + 101*j**4/36 - 13*j**3/3 - 114*j**2 + 135*j - 1. Factor u(s).
(s - 19)*(s - 6)**2*(s + 2)/6
Factor -1400/9*k**2 + 0 - 416/9*k + 196/9*k**3.
4*k*(7*k - 52)*(7*k + 2)/9
Let z be (-4)/8 - (-803)/146. Let k(y) be the second derivative of 8/85*y**z + 3/17*y**2 + 25/51*y**3 + 28/51*y**4 + 0 + 23*y. Suppose k(f) = 0. What is f?
-3, -1/4
Let d = 45272/3 - 271265/18. Let w = -39/2 + d. Factor 4*a**2 + w*a**3 - 16/9*a**4 + 22/9*a + 4/9.
-2*(a - 2)*(2*a + 1)**3/9
Let u(j) = 14*j**3 - 56*j**2 + 72*j + 8. Let n = 637 + -629. Let a(m) = 9*m**3 - 37*m**2 + 48*m + 5. Let s(i) = n*a(i) - 5*u(i). Let s(x) = 0. What is x?
0, 2, 6
Suppose -u + 5 = 2*j, j = 3*u + 1453 - 1447. Let s(l) be the first derivative of 0*l**5 + 5/4*l**4 - 9 + 0*l**2 + 0*l**j + 0*l - 5/6*l**6. Factor s(y).
-5*y**3*(y - 1)*(y + 1)
Let j(i) = 2*i**2 + 20*i - 101. Let r be j(-14). Suppose 0 = -h - 6*h + r*h. Factor -1/5*f**3 + 0*f**4 + 0*f**2 + 0*f + 1/5*f**5 + h.
f**3*(f - 1)*(f + 1)/5
Let w(r) be the second derivative of 0*r**2 + 1/9*r**4 - 6*r + 1/6*r**3 + 13 + 1/60*r**5. Suppose w(y) = 0. Calculate y.
-3, -1, 0
Suppose 0 = o - 3*r - 21, r = -o + 5 - 4. Factor -8*q - q**2 - 5*q**2 + 4 + 4 - 8*q**4 + 8*q**3 + o*q**4.
-2*(q - 2)**2*(q - 1)*(q + 1)
Let r(j) = -4*j**2 + 22*j**2 - 11*j**2 - 2*j. Let z be r(1). Factor -16*f**5 - 12*f**z - f**3 - 48*f**4 + 17*f**3.
-4*f**3*(f + 2)*(7*f - 2)
Let q = -962 - -968. Let v(u) be the first derivative of u**2 - 11/3*u**4 - 16/9*u**3 - 11 - 5/9*u**q - 12/5*u**5 + 4/3*u. Factor v(j).
-2*(j + 1)**4*(5*j - 2)/3
Suppose 4*v - 4*i - 8 - 96 = 0, 0 = -5*v - i + 142. Factor 2*d - 126204*d**3 + 2*d - 28*d**2 + 126200*d**3 + v.
-4*(d - 1)*(d + 1)*(d + 7)
Let w(x) be the third derivative of x**6/840 + x**5/105 + x**4/42 + 1675*x**2 - 2*x. Factor w(z).
z*(z + 2)**2/7
Let x(g) = g**2 - g + 1. Let w(v) = 20*v**2 + 8*v + 48. Let r(y) = w(y) - 8*x(y). Let i(u) = -2*u**2 - u - 1. Let p(a) = 8*i(a) + r(a). Factor p(j).
-4*(j - 4)*(j + 2)
Let z(l) = -5*l**2 + 1. Let t(r) = -5*r**3 + 80*r + 6. Let i(n) = t(n) - 6*z(n). Solve i(f) = 0.
-2, 0, 8
Let d(p) = -295*p - 5010. Let y be d(-17). Let j be 2 - (2/6)/1. Find g, given that 0 + 5/3*g**4 + 5*g - y*g**3 - j*g**2 = 0.
-1, 0, 1, 3
Let i(v) = 45*v**4 - 131*v**3 + 94*v**2 - 19*v. Let p(w) = -9*w**4 + 26*w**3 - 19*w**2 + 4*w. Suppose 12 = 15*l - 18. Let s(n) = l*i(n) + 11*p(n). Factor s(c).
-3*c*(c - 1)**2*(3*c - 2)
Let m = -8792 - -8818. Let h(p) be the third derivative of -1/200*p**6 - 1/5*p**3 + 3/40*p**4 + 0*p**5 + 0*p + m*p**2 + 0. Find g such that h(g) = 0.
-2, 1
Let b(f) be the first derivative of 2*f**5/45 + 7*f**4/9 - 70*f**3/27 - 16*f**2/3 + 8252. Factor b(d).
2*d*(d - 3)*(d + 1)*(d + 16)/9
Let k(n) be the first derivative of -2*n**6/3 - 20*n**5 + 53*n**4 - 36*n**3 - 8146. Suppose k(x) = 0. What is x?
-27, 0, 1
Factor -120 - 5*y**5 + 507*y + 144*y**3 - 8*y**4 - 97*y + 111*y**3 - 27*y**4 + 305*y**2 - 810*y**2.
-5*(y - 2)*(y - 1)**3*(y + 12)
Let 7*y**2 - 7*y**3 - 50*y + 42 - 339*y**4 + 105*y + 338*y**4 = 0. What is y?
-7, -2, -1, 3
Let w(d) = -80*d**4 + 156*d**3 + 17*d**2 + 3*d. Let k(l) = -80*l**4 + 156*l**3 + 20*l**2 + 4*l. Let m(i) = 3*k(i) - 4*w(i). Determine r, given 