c = 13 - 0 - 13. Let w = 234 - 231. Find p such that -3/4*p**2 + 1/4*p**w - p + c = 0.
-1, 0, 4
Let a = 440 + -285. Let -364*l**3 + a*l + 65*l + 164*l - 20*l**5 + 40*l**2 + 128 - 168*l**4 = 0. What is l?
-4, -1, -2/5, 1
Find a such that 72 - 76*a**4 + 60*a - 63*a**3 - 12*a**2 + 52*a**4 - 3*a**5 + 3*a**2 - 18*a**2 - 15*a**2 = 0.
-3, -2, 1
Let g(z) be the first derivative of 2*z**5/5 - 13*z**4/2 - 268*z**3/3 - 120*z**2 + 67. Solve g(m) = 0 for m.
-6, -1, 0, 20
Suppose -47786*t + 47761*t = 0. Let f(y) be the third derivative of 0*y**3 + 0 + t*y + 1/480*y**6 - 1/48*y**5 - 1/16*y**4 - 22*y**2. Factor f(o).
o*(o - 6)*(o + 1)/4
Let m(l) = l**3 + 2*l**2 - l + 1. Let a(d) = d**3 - 153*d**2 - 606*d + 14006. Let z(y) = -a(y) + 6*m(y). Factor z(o).
5*(o - 7)*(o + 20)**2
Let z(f) be the second derivative of f**9/158760 - f**8/23520 + f**7/13230 - 19*f**4/6 - f - 1. Let x(q) be the third derivative of z(q). Factor x(h).
2*h**2*(h - 2)*(h - 1)/21
Let v(s) be the first derivative of -s**5/5 + s**4/4 + 14*s**3 + 168. Factor v(q).
-q**2*(q - 7)*(q + 6)
Suppose 5*u = j + 2062, -5*u + 4*j = -76 - 1992. Solve -3*k**4 + 9*k**3 + 12*k - 415*k**2 + 881*k**2 - 72 - u*k**2 = 0 for k.
-2, 1, 6
Let z(i) be the second derivative of i**4/3 + 374*i**3 + 1120*i**2 + 671*i. Factor z(b).
4*(b + 1)*(b + 560)
Let b(o) be the second derivative of -o**7/315 - 2*o**6/25 - 17*o**5/30 - 28*o**4/15 - 148*o**3/45 - 16*o**2/5 - 573*o + 1. Let b(n) = 0. Calculate n.
-12, -2, -1
Let f be (-7)/(-6)*(6/(-14))/((-12)/108). What is n in -97/2*n + f*n**2 - 11 = 0?
-2/9, 11
Suppose 52*d - 99*d = -1026 - 149. Let i(b) be the third derivative of 0 + 0*b**7 - d*b**2 + 0*b**3 + 0*b**4 + 0*b**6 + 0*b - 1/1176*b**8 + 0*b**5. Factor i(x).
-2*x**5/7
Suppose -120 = 2*a + 4*k, -116 = 28*a - 26*a + 2*k. Let s be (a/20 - -3)/(12/760). Solve -6*h**2 + s*h**3 - 14/3*h + 4/3 + 14/3*h**4 - 8*h**5 = 0 for h.
-1, -2/3, 1/4, 1
Let k(r) = 7*r**2 - 17*r + 18. Let g be 32/14*231/66. Let d(l) = 20*l**2 - 52*l + 56. Let j(h) = g*k(h) - 3*d(h). Factor j(a).
-4*(a - 3)*(a - 2)
Let v(u) = 5 - 6 + u + 2. Let s(x) = -x**3 + 7*x**2 - 6*x + 10. Let g be (-2)/1*1 - (-3)/(-1). Let c(n) = g*v(n) + s(n). Factor c(h).
-(h - 5)*(h - 1)**2
Factor -64/21 - 2/21*t**2 - 12/7*t.
-2*(t + 2)*(t + 16)/21
Suppose 5*t - 22 = -3*q, -52 + 29 = -4*t + 3*q. Let s(y) be the second derivative of 0*y**3 + 0 - 1/20*y**t - 1/6*y**4 + 10*y + 0*y**2. Factor s(m).
-m**2*(m + 2)
Let z be 128/56 + 4/(-14). Factor -3*j - 25*j**2 + 29*j**2 + j - 13*j**z.
-j*(9*j + 2)
Let y(b) = 19*b - 244. Let c be y(13). Factor -80*j - 146*j**3 - 50*j**2 - 151*j**c + 292*j**3.
-5*j*(j + 2)*(j + 8)
Let m be ((132/40)/(-11))/((-25)/(7500/24)). Let h be -1 + (-1 - (-33)/12). Factor -9/2*a + h + m*a**2.
3*(a - 1)*(5*a - 1)/4
Suppose 4*y = 2*f + 2 + 14, 4*y + 3*f + 4 = 0. Factor b**y - 43*b - 1 + 29 + 14.
(b - 42)*(b - 1)
Let x(b) be the third derivative of b**5/30 - 265*b**4/12 - 1076*b**3/3 - 10*b**2 - b + 30. Suppose x(k) = 0. Calculate k.
-4, 269
Let d(y) = 2*y**3 - 6*y**2 + 4*y + 6. Let s be d(2). Suppose -s*q + 44 = 5*q. Determine z, given that 0*z - 4/5 - 4/5*z**q + 8/5*z**2 + 0*z**3 = 0.
-1, 1
Let t(g) be the first derivative of 4*g**3/3 + 214*g**2 + 424*g + 365. Factor t(i).
4*(i + 1)*(i + 106)
Let w(n) be the first derivative of -74/3*n**3 + 13/2*n**4 + 8*n + 20*n**2 + 19. Let w(s) = 0. What is s?
-2/13, 1, 2
Let g = 49 - 34. Let q = g - 13. Solve 20*z + 4 + 3*z**2 - 4*z**2 - 20*z**3 + 22*z**q - 25*z**4 = 0 for z.
-1, -2/5, 1
Let r be (630/(-27) - (90 + -113))/((-1)/6). Solve -4/11 + 94/11*a**r + 16/11*a**5 + 78/11*a**4 + 134/11*a**3 + 18/11*a = 0.
-2, -1, 1/8
Factor -333*r - 4*r**3 - 381*r + 442773 - 1692*r - 442116 - 887*r**2.
-(r + 3)*(r + 219)*(4*r - 1)
Let d(b) be the third derivative of 0 + 1/15*b**5 - 1/240*b**6 - 1/4*b**4 + 0*b**3 - 231*b**2 + 0*b. Factor d(h).
-h*(h - 6)*(h - 2)/2
Let o(q) be the first derivative of -q**7/84 - q**6/30 + q**5/40 + q**4/12 - 122*q - 153. Let k(f) be the first derivative of o(f). Find r, given that k(r) = 0.
-2, -1, 0, 1
Let j(y) be the third derivative of -y**6/360 + 7*y**5/120 + 50*y**3/3 + 4*y**2 + 3. Let d(k) be the first derivative of j(k). Solve d(x) = 0.
0, 7
Factor -366 + 2810*y + 2805*y**2 + 366 - 37*y**3 + 32*y**3.
-5*y*(y - 562)*(y + 1)
Let u(l) be the first derivative of -2/9*l**4 - 4/15*l**5 - 1/27*l**6 + 5/9*l**2 - 30 + 4/9*l**3 + 0*l. Determine g, given that u(g) = 0.
-5, -1, 0, 1
Let b = -105 + 110. Factor 24*p + 34*p + 42*p**3 + 24*p**4 + 4*p**2 + 6*p**3 + 4*p**b + 36*p**2 - 46*p.
4*p*(p + 1)**3*(p + 3)
Let j(a) be the third derivative of a**5/72 + 3955*a**4/18 + 12513620*a**3/9 + 3*a**2 - 94*a + 1. Factor j(m).
5*(m + 3164)**2/6
Let g(w) = -813*w + 11386. Let f be g(14). What is d in 1/3*d**5 - d**3 - 2/3*d**f + 0*d**2 + 0 + 0*d = 0?
-1, 0, 3
Let a be -2 - 1/(-4)*(-1142304)/(-1460). Factor 1056/5*n + 18*n**2 + a + 2/5*n**3.
2*(n + 1)*(n + 22)**2/5
Suppose 236/3 - 232/3*q - 4/3*q**2 = 0. What is q?
-59, 1
Suppose c - 2*c - 10 = k, 6*k + 2*c + 72 = 0. Let b be (-3)/(k - (5 + -17)). Factor 4/5*w - 4/5*w**2 + 0 + 4/5*w**4 - 4/5*w**b.
4*w*(w - 1)**2*(w + 1)/5
Let s(y) = -10*y**2 - 251*y + 152. Let a(c) = -5*c**2 - 117*c + 74. Let p(v) = -13*a(v) + 6*s(v). Factor p(b).
5*(b - 2)*(b + 5)
Let q(z) be the third derivative of z**6/840 + 2*z**5/3 + 350*z**4/3 + 4*z**2 + z - 26. Find p, given that q(p) = 0.
-140, 0
Let x(k) be the third derivative of -k**8/1680 - 47*k**7/1050 + 37*k**6/60 - 112*k**5/75 - 36*k**4/5 - 4*k**2 + 724. Solve x(m) = 0 for m.
-54, -1, 0, 4
Let w(c) be the third derivative of -82*c**2 + 0 - 50/3*c**3 - 35/8*c**4 + 0*c - 1/12*c**5. Factor w(a).
-5*(a + 1)*(a + 20)
Let y(v) = 2*v**3 - 26*v**2 + 124*v - 97. Let s(n) = -n**3 - 3*n**2 + 1. Let r(a) = 4*s(a) + 4*y(a). What is h in r(h) = 0?
1, 4, 24
Let j(c) = 111*c**5 - 546*c**4 + 639*c**3 + 480*c**2 - 861*c - 45. Let s(p) = p**4 + p**3 + p + 1. Let t(r) = j(r) - 3*s(r). Determine k, given that t(k) = 0.
-1, -2/37, 2
Let p(f) = 4*f**2 - 4958*f - 42. Let u(g) = 3*g**2 - g - 14. Let n(s) = -p(s) + 3*u(s). Factor n(v).
5*v*(v + 991)
Let l(s) be the third derivative of -s**8/1344 - 11*s**7/840 + 7*s**6/80 - 641*s**2. Factor l(h).
-h**3*(h - 3)*(h + 14)/4
Let p(r) be the third derivative of -r**6/24 + 22*r**5/3 - 1285*r**4/24 + 425*r**3/3 + 591*r**2. Solve p(o) = 0 for o.
1, 2, 85
Let d = -1834843/7 - -262125. Suppose -288/7 - 2/7*r**4 - 176/7*r**2 + 384/7*r + d*r**3 = 0. What is r?
2, 6
Suppose 4*s = -8 + 56. Suppose -3*x + c + 9 = 0, -5*x + 5*c - s + 37 = 0. Determine k, given that 7*k**2 - 6*k**3 - 3*k**4 - 5*k**x - 5*k**2 = 0.
-1, 0
Let z = 19/14 + -421/336. Let d(h) be the second derivative of -z*h**4 + 3/8*h**6 + 19*h - 7/16*h**5 + 1/6*h**3 - 3/56*h**7 + 0 + 0*h**2. What is y in d(y) = 0?
-1/3, 0, 1/3, 1, 4
Let m(p) be the second derivative of p**7/42 - p**6/8 + 5*p**4/6 - 67*p**2/2 + p - 5. Let b(l) be the first derivative of m(l). Solve b(q) = 0 for q.
-1, 0, 2
Let q = 54/21727 - 15788506/23399979. Let o = -2/359 - q. Solve 8/3*f + o*f**2 + 2 = 0.
-3, -1
Factor 0 - 1725/4*f**3 + 3441/4*f**2 - 1719/4*f + 3/4*f**4.
3*f*(f - 573)*(f - 1)**2/4
Let i(b) = 4*b**2 - 2*b + 10. Let d(z) = -3*z**2 + 2*z - 9. Let j be -2 + 16 + -16 + (-14)/(-2). Let c(s) = j*i(s) + 6*d(s). Factor c(m).
2*(m - 1)*(m + 2)
Let j(u) be the first derivative of u**7/3780 + u**6/405 + u**5/108 + u**4/54 + u**3 - 13. Let p(z) be the third derivative of j(z). Factor p(a).
2*(a + 1)**2*(a + 2)/9
Let y(z) be the second derivative of z**5/10 - 17*z**4/14 - 14*z**3 + 88*z**2/7 - 3765*z. Factor y(v).
2*(v - 11)*(v + 4)*(7*v - 2)/7
Let w be (-796)/(((-16)/(-36))/(24/(-108))). Let n = w - 394. Determine c, given that 1/4*c**2 + 1 - 5/4*c**n + 7/4*c**3 + 1/4*c**5 - 2*c = 0.
-1, 1, 2
Let x be (3 - 10)*1/(-1) - (3 - -2). Let i(p) be the first derivative of 4 - 1/12*p**4 + 1/15*p**5 + 1/6*p**x + 0*p - 1/9*p**3. Factor i(o).
o*(o - 1)**2*(o + 1)/3
Let u(z) = z**5 + 2*z**4 - 1. Let s(m) = 5*m**5 + 13*m**4 - 4*m**3 - 20*m**2 - 4. Let w(b) = s(b) - 4*u(b). Suppose w(p) = 0. What is p?
-5, -2, 0, 2
Determine b, given that -236/3 - 2/3*b**4 + 2*b**2 + 118/3*b**3 - 350/3*b = 0.
-1, 2, 59
Let b(p) be the third derivative of -p**8/168 + 3*p**7/35 + 11*p**6/60 - 3*p**5/10 - 5*p**4/6 + 2665*p**2. Let b