7, 1, 4
Let b be (10/6)/(7280/416). Factor 0*m**2 + 4/21*m - 4/21*m**3 - b*m**4 + 2/21.
-2*(m - 1)*(m + 1)**3/21
Suppose 6*u + 65 = 11*u. Suppose 2*x + 5*d - 8 = 0, 4*x - 4*d - 3 = u. What is q in 0 + 2 - 5*q - 6*q**2 + 0 + 16*q**x - 3*q + 20*q**3 = 0?
-1, 1/4, 1/2
Suppose 0 = -6*f + f - 4*u + 64, 0 = -2*u + 2. Suppose -8 + 105*o**2 - 10*o**3 - 40*o - 5 + 5 - 35*o**4 - f = 0. Calculate o.
-2, -2/7, 1
Suppose o + 418 = -3*w, -375 - 169 = 4*w - 2*o. Let c be ((-46)/w)/((-1)/(3/(-5))). Find k such that 1/5*k**3 - c*k + 0 + 0*k**2 = 0.
-1, 0, 1
Determine w so that -100 - 9*w**4 + 145*w + 50*w**2 - 4*w**5 - 140*w**3 + 45*w**4 + 21*w**4 - w**5 - 7*w**4 = 0.
-1, 1, 4, 5
Let r(x) be the third derivative of x**8/80640 - x**7/10080 + x**6/2880 + 13*x**5/60 + 9*x**2. Let i(a) be the third derivative of r(a). What is o in i(o) = 0?
1
Let h(g) = -g**4 + g**2 + g - 1. Let n(c) = 4*c**4 - 4*c**2 - 6*c + 6. Let w(x) = -3*x + 14. Let i be w(5). Let m(a) = i*n(a) - 6*h(a). Factor m(o).
2*o**2*(o - 1)*(o + 1)
Let y(i) = i**3 - 13*i**2 - 13*i - 10. Let x(g) = g**2 - 10*g + 14. Let p be x(10). Let k be y(p). Factor 0 - 1/5*v**k - 3/5*v**3 - 1/5*v - 3/5*v**2.
-v*(v + 1)**3/5
Factor -36*s + 4140 + 3*s**3 - 4140 - 12*s**2.
3*s*(s - 6)*(s + 2)
Let w be (6 - (-868)/(-147))*56/16. Factor 1/3*q - w*q**3 - 5/3 + 5/3*q**2.
-(q - 5)*(q - 1)*(q + 1)/3
Find q such that 36*q**2 + 129/5*q + 18/5 - 15*q**3 = 0.
-2/5, -1/5, 3
Let v(i) = 63*i - 21 - 8 - 52*i. Let o be v(3). Solve 1/3*k**2 + 1/2*k**3 + 0 + 0*k + 1/6*k**o = 0 for k.
-2, -1, 0
Factor 10*q**4 + 4*q - 14*q**4 + 12*q**3 + 49*q**2 - 61*q**2.
-4*q*(q - 1)**3
Let b(u) be the second derivative of 3*u - 5 - 1/10*u**5 - 2/3*u**3 - 5/6*u**4 + 8*u**2. Factor b(k).
-2*(k - 1)*(k + 2)*(k + 4)
Let o(j) = 10*j**2 - 10*j + 42. Let c(b) = -4*b**2 + 6*b - 20. Let r(a) = 7*c(a) + 3*o(a). Factor r(n).
2*(n - 1)*(n + 7)
Suppose 0*n = 4*n + 5*i - 65, 20 = n + 2*i. Suppose -8*b - 6 = -n*b. Factor 0*k**2 + 0*k - 3/7*k**4 - 3/7*k**b + 0.
-3*k**3*(k + 1)/7
Let u(h) be the first derivative of 7*h**5/15 + 11*h**4/3 - 37*h**3/9 - 7*h**2/3 + 58. Factor u(c).
c*(c - 1)*(c + 7)*(7*c + 2)/3
Suppose 0*q + q = 3. Let n be ((12/(-10))/(-3))/(27 - 5073/190). Factor -2*w**q + 4/3*w**4 - n*w**2 + 0 + 0*w.
2*w**2*(w - 2)*(2*w + 1)/3
Let b = 7690 - 146106/19. Factor -2/19 - b*o - 2/19*o**2.
-2*(o + 1)**2/19
Suppose 5*i = 2*y + 19, 23 = 4*i - 3*y + 4*y. Let t(l) be the second derivative of 4*l + 3/8*l**2 - 1/80*l**i + 5/48*l**4 + 0 - 7/24*l**3. Factor t(j).
-(j - 3)*(j - 1)**2/4
Let i = 378517/5 - 75431. Let z = i - 270. Factor 3/5*v**4 + 0*v + 0 - 12/5*v**3 + z*v**2.
3*v**2*(v - 2)**2/5
Let t(s) be the second derivative of s**6/40 - 21*s**5/20 + 73*s**4/4 - 168*s**3 + 864*s**2 + 605*s. Factor t(i).
3*(i - 8)**2*(i - 6)**2/4
Suppose 0 = -4*t - 8, m - 7 + 19 = -5*t. Let a be 0/(m*2) + 3. Factor 6*r**3 - 2*r**a - 3*r**3 + 2*r**4 + r**5.
r**3*(r + 1)**2
Determine a, given that -2/5*a**3 - 2/5*a**4 + 32/5*a**2 + 0 + 32/5*a = 0.
-4, -1, 0, 4
Let b(z) be the second derivative of 64*z**5/5 - 304*z**4 + 2888*z**3 - 13718*z**2 + 45*z + 2. Determine x, given that b(x) = 0.
19/4
Suppose -3*g = l - 18, 2*g = 5*l - 3*l + 4. Let u be g/15*-3 + 3/2. Factor -u*h**2 - 1/2 + h.
-(h - 1)**2/2
Let y(u) be the third derivative of 0*u + 0 + 1/390*u**5 - 4/39*u**3 + 0*u**4 + 15*u**2. Factor y(b).
2*(b - 2)*(b + 2)/13
Let y(t) be the third derivative of 15*t**2 + 0*t**3 + 0 - 2/9*t**4 - 7/45*t**7 - 7/18*t**6 + 26/45*t**5 + 0*t. Suppose y(w) = 0. Calculate w.
-2, 0, 2/7
Let j be 1 - 0 - 3/21. Let c be (32/(-6) - -6)/((-25)/(-3) - 6). Factor j*q**2 - 4/7 + c*q.
2*(q + 1)*(3*q - 2)/7
Suppose 10*u = -5*u + 4380. Let s = u + -2043/7. Solve s*q**2 + 0 + 1/7*q**3 - 1/7*q**4 - 1/7*q**5 + 0*q = 0.
-1, 0, 1
Suppose 0 = 3*t - 5*t + 8. Let 10*r + t*r + 49 + 0*r + r**2 = 0. What is r?
-7
Factor -3*z**4 + z**2 + 1379*z**3 + 11*z**2 - 24*z - 1373*z**3.
-3*z*(z - 2)**2*(z + 2)
Suppose 42*u - 41*u - 2 = 0. Factor -66 + 46*v**2 + 262 + 56*v - 42*v**u.
4*(v + 7)**2
Let p(t) = t**4 + t**3 + t + 1. Let i(b) = -3*b**4 + 29*b**3 + 81*b**2 + 47*b - 7. Let v(s) = -5*i(s) - 35*p(s). Factor v(m).
-5*m*(m + 6)*(2*m + 3)**2
Let m(i) be the third derivative of 10/21*i**3 + 3/14*i**4 + 0 - 1/210*i**6 - 43*i**2 + 0*i + 1/35*i**5. Let m(a) = 0. Calculate a.
-1, 5
Let h(q) = q**4 + q**3 + q**2 + 1. Let x be (4/6)/(34/(-51)). Let o(u) = 11*u + u**4 + u**5 - 2*u**3 + 1 + 3*u**2 - 11*u. Let t(n) = x*o(n) + h(n). Factor t(z).
-z**2*(z - 1)**2*(z + 2)
Solve -3/7*j**2 + 27/7*j + 30/7 = 0 for j.
-1, 10
Let m = -36 - -39. Let -s**5 + 2*s + 5*s - 42*s**2 + 3 - 6*s**m - 5*s**4 + 0 + 44*s**2 = 0. Calculate s.
-3, -1, 1
Let o(a) = -a**3 + 11*a**2 - 9*a - 10. Let k be o(10). Suppose 2*s + 5*m = -k*s + 6, 2*m = 0. Factor -5*w**2 - w**2 + 3*w**2 + 5*w**s - 6*w - 2*w**3.
3*w*(w - 2)*(w + 1)
Let -15/2*j**2 - 225/2*j - 135 + 5/2*j**4 + 25/2*j**3 = 0. Calculate j.
-3, -2, 3
Let v be 2/7 - 228/14. Let a = v - -18. Factor 3*y**5 - 2*y - 2*y**2 + 2*y**4 - a*y**5 + y.
y*(y - 1)*(y + 1)**3
Let v be ((-40)/(-400) + (-6)/(-4))*(-1 + 4). What is g in 2/5*g**5 + 0*g + 0 + 12/5*g**4 + 16/5*g**2 + v*g**3 = 0?
-2, 0
Let a(s) be the first derivative of -8/11*s + 46/33*s**3 - 238/55*s**5 - 8 - 49/33*s**6 + 16/11*s**2 - 67/22*s**4. Factor a(z).
-2*(z + 1)**3*(7*z - 2)**2/11
Let z(u) be the third derivative of u**5/420 + 29*u**4/168 + 2*u**3/3 - 377*u**2. Let z(k) = 0. Calculate k.
-28, -1
Suppose -5*f = -3*n + 1006, 5*n - 2433 = -f - 775. Find x, given that 5*x**2 - n + 332 = 0.
0
Factor -2 + 11/3*h**2 - 5/3*h.
(h - 1)*(11*h + 6)/3
Let t(w) be the second derivative of -w**5/100 - 13*w**4/30 - 8*w**3/5 + 9*w + 16. Factor t(l).
-l*(l + 2)*(l + 24)/5
Factor -32*t**3 - 3*t**4 - t**4 - 24*t**2 - 139*t + 28 - 112*t + 283*t.
-4*(t - 1)*(t + 1)**2*(t + 7)
Factor -23/3 - 53/2*r + 7/6*r**2.
(r - 23)*(7*r + 2)/6
Let a(b) = -2*b**2 + 15*b - 20. Let l be a(2). Find h, given that 3/2*h**l - 21*h + 147/2 = 0.
7
Let g(p) be the third derivative of -p**6/60 + 11*p**5/30 - 10*p**4/3 + 16*p**3 - 3*p**2 + 6. Let g(f) = 0. What is f?
3, 4
Suppose 43 = -2*o + 3*v + 2*v, 3*v = 9. Let z be (o/(-7) - 7)*(1 + -2). What is d in 0 + 0*d - 25/2*d**5 - z*d**4 + 5*d**2 + 25/2*d**3 = 0?
-1, -2/5, 0, 1
Let x(j) = 4*j**2 + 35*j + 5. Let u(s) = s**2 + 8*s + 1. Let a(o) = 26*u(o) - 6*x(o). What is f in a(f) = 0?
-1, 2
Let l = -3/499 + 508/1497. Let j(z) be the second derivative of 1/5*z**5 - 1/6*z**4 - l*z**3 - z + 0*z**2 + 0. Factor j(y).
2*y*(y - 1)*(2*y + 1)
Factor 237*j + 29 - 14 - 6 + 45 - 78*j - 9*j**2.
-3*(j - 18)*(3*j + 1)
Let l(v) = v**2. Let k(o) = 8*o**2 - 66*o + 363. Let z be (0 - 2 - -4) + -3. Let y(u) = z*k(u) + 5*l(u). Find t such that y(t) = 0.
11
Let a(m) be the first derivative of m**4/2 + 40*m**3/3 - 43*m**2 + 44*m + 105. Solve a(c) = 0.
-22, 1
Let t(p) be the second derivative of 3/68*p**4 - 7*p - 1/170*p**5 + 1/3060*p**6 + 0 + 0*p**2 - 1/2*p**3. Let k(g) be the second derivative of t(g). Factor k(y).
2*(y - 3)**2/17
Let w(f) = -4*f**2 - 43*f + 203. Let s(v) = 14*v**2 + 130*v - 610. Let m(p) = -3*s(p) - 10*w(p). Solve m(r) = 0 for r.
10
Factor 484 + 1/9*d**2 - 44/3*d.
(d - 66)**2/9
Let x(n) be the second derivative of -3/4*n**4 - 1/60*n**6 - 2*n**2 - 15*n + 0 - 5/3*n**3 - 7/40*n**5. Factor x(m).
-(m + 1)*(m + 2)**3/2
Let p(b) be the first derivative of -5*b**6/9 + 12*b**5/5 - 17*b**4/6 + 4*b**2/3 - 75. Find t, given that p(t) = 0.
-2/5, 0, 1, 2
Let c be 1232/(-64) + 17 + 3. What is u in 15/4*u + c*u**2 + 3 = 0?
-4, -1
Suppose -8*w + 3*w + 5 = 0. Let r(v) be the first derivative of 0*v**3 + w - 3/8*v**4 + 0*v**2 + 0*v. Factor r(n).
-3*n**3/2
Let r be (2 + -1)/(372/(-48) + 8). Factor 4/3*h**r - 4/3*h**2 + 4/3*h + 0 - 4/3*h**3.
4*h*(h - 1)**2*(h + 1)/3
Factor -145*f**5 + 103*f**3 - 94*f**3 + 6*f**2 + 142*f**5.
-3*f**2*(f - 2)*(f + 1)**2
Determine a, given that -31*a**3 + 56*a**2 - 34*a**3 - 30*a**3 + 91*a**3 + 124*a**2 = 0.
0, 45
Suppose 0 = -5*t + 4*t - 3*r + 13, -4 = -4*t + 4*r. Let m(i) = -i**3 + 5*i**2 + 6*i + 8. Let k be m(6). Factor 8*b - b**t - k*b + b**3.
-b**3*(b - 1)
Suppose 5*b - 9*b + 8 = 0. Let j(k) = -k**2 - 1. Let m(z) = -2*z**3 - 4*z**2 - 6*z. Let s(f) = b*m(f) + 4*j(f). Let s(h) = 0. Calculate h.
-1
Let t(l) be the first derivative of -2*l**6/15