
l**2*(l + 3)**2/7
Let n(q) = 21*q + 609. Let v be n(-29). Factor 0 - 1/3*p**3 + 1/3*p**4 + 0*p + v*p**2.
p**3*(p - 1)/3
Factor 9*v**2 + 6 - 15*v - 63*v**4 + 3*v**3 + 27*v**4 + 33*v**4.
-3*(v - 1)**3*(v + 2)
Let l(u) = u**4 - 43*u**3 + 474*u**2 - 2160*u + 1728. Let j(p) = p**3 - p**2. Let n(d) = 6*j(d) + l(d). Determine x, given that n(x) = 0.
1, 12
Let b = -4771 - -14317/3. Factor f + 1/3*f**2 - b.
(f - 1)*(f + 4)/3
Suppose 5*q = -11*r + 7*r + 1164, 291 = r - 2*q. Let -135/2*n**3 + r*n**2 + 12 - 243/2*n**4 - 114*n = 0. What is n?
-2, 2/9, 1
Let u(o) be the second derivative of -3*o**5/20 - 13*o**4/2 - 185*o**3/2 - 600*o**2 - 612*o. Factor u(f).
-3*(f + 5)**2*(f + 16)
Let f(p) be the third derivative of p**8/672 + 3*p**7/140 + 29*p**6/240 + 13*p**5/40 + 3*p**4/8 - 2*p**2 - p. Solve f(o) = 0.
-3, -2, -1, 0
Let d(h) be the second derivative of -171/160*h**5 + 0 - 1/4*h**3 + 9/20*h**6 + 7/8*h**4 - 15*h + 0*h**2. Factor d(b).
3*b*(3*b - 2)**2*(4*b - 1)/8
Let w be (-4)/2*32/(-112). Determine q, given that -16/7 - 20/7*q - w*q**2 = 0.
-4, -1
Let i(n) = -87*n**2 - 1046*n - 21. Let z be i(-12). Factor 0*d**2 - 2/9*d**z - 2/9*d**4 + 0*d + 0.
-2*d**3*(d + 1)/9
Let v = -1 - -4. Suppose 0 = -5*r + 7*r. Determine f so that -4*f**5 + 8*f**4 + r*f**4 + f**3 - 5*f**v = 0.
0, 1
Let s(f) be the first derivative of f**6/9 + f**5 + 8*f**4/3 + 4*f**3/3 - 8*f**2/3 + 182. Find o, given that s(o) = 0.
-4, -2, 0, 1/2
Let d = 530/69 + -146/23. Let v(i) be the first derivative of 0*i**2 - 4*i + d*i**3 - 13. Let v(j) = 0. What is j?
-1, 1
Suppose -2*w - 6 = -3*n, 0*w + 4*w + 8 = 5*n. Let v(a) be the third derivative of 0*a - 6*a**2 + 0 + 8/3*a**3 + 1/15*a**5 - 2/3*a**n. Solve v(z) = 0.
2
Let o(r) = -6*r**4 - 10*r**3 - 18*r**2 + 18*r + 8. Let k(n) = n**4 - n**3 + 2*n**2 - n + 1. Let u(v) = -4*k(v) - o(v). Factor u(l).
2*(l - 1)*(l + 1)**2*(l + 6)
Let o(c) be the first derivative of -c**7/1120 - c**6/480 + c**5/80 + 14*c**3/3 - 12. Let l(i) be the third derivative of o(i). Factor l(r).
-3*r*(r - 1)*(r + 2)/4
Let c(f) = -f**3 + 5*f**2 + 2*f - 7. Let a be c(5). Find g, given that -8*g**3 + 4*g**2 - g**2 + 6*g + 2*g**a + 3*g**3 = 0.
-1, 0, 2
Let r(u) be the second derivative of -u**4/42 + 4*u**3/21 - 10*u + 2. Factor r(x).
-2*x*(x - 4)/7
Suppose -8 = 2*w - 2*d, -4*w + 11 = -5*d + 34. Let -w*u - 1/3*u**2 - 8/3 = 0. What is u?
-8, -1
Let y(m) = -m**3 - m**2 - m + 1. Let a(b) = -3*b**5 - 3*b**4 + 22*b**3 - 2*b**2 - 11*b + 5. Let u(k) = a(k) + 4*y(k). Factor u(n).
-3*(n - 1)**3*(n + 1)*(n + 3)
Find b, given that -32/5*b + 4/5*b**2 + 32/5*b**3 - 4/5*b**4 + 0 = 0.
-1, 0, 1, 8
Let m(i) = -3*i**2 - 486*i - 555. Let x(w) = -2*w**2 - 496*w - 554. Let f(b) = -5*m(b) + 6*x(b). Find r, given that f(r) = 0.
-1, 183
Let f(d) = 68*d**2 + 146*d + 6. Let c(n) = -n**2 + n - 1. Let g(t) = -4*c(t) + 2*f(t). Suppose g(a) = 0. What is a?
-2, -2/35
Let d(r) = 6*r - 16. Let m be d(4). Let s be m/14*(-2 - -4) - 0. Solve -4/7*z**4 - s*z + 0 + 8/7*z**2 - 2/7*z**5 + 6/7*z**3 = 0 for z.
-2, 0, 1
Let j(r) be the third derivative of 0 + 3/560*r**8 + 0*r**3 + 0*r**6 + 1/10*r**5 - 1/35*r**7 + 0*r - 3/40*r**4 + 31*r**2. Find g such that j(g) = 0.
-1, 0, 1/3, 1, 3
Let f be (-560)/(-90) - ((-18)/(-12))/((-15)/(-50)). Let u = -6/7 - -88/21. Suppose 25/9*l**4 - 4/3*l + 4/9 + u*l**3 - f*l**2 = 0. What is l?
-1, 2/5
Let c(h) be the first derivative of 4/3*h**6 + 8*h**2 + 44/3*h**3 + 23 + 2*h + 34/5*h**5 + 14*h**4. Find k such that c(k) = 0.
-1, -1/4
Find w such that -12/5*w - 21/5*w**5 - 24/5*w**2 + 63/5*w**3 + 0 - 6/5*w**4 = 0.
-2, -2/7, 0, 1
Solve 1/5*a**2 + 8/5 - 1/5*a**3 + 2*a = 0 for a.
-2, -1, 4
Let l(s) be the second derivative of -s**5/5 - 7*s**4/6 - 4*s**3/3 + 4*s**2 + 132*s. Factor l(u).
-2*(u + 2)**2*(2*u - 1)
Suppose -627 = -10*h + 283. Let f = h + -91. Factor 3/5*n**3 + f*n - 2/5*n**2 + 0 + n**4.
n**2*(n + 1)*(5*n - 2)/5
Let i be 0/((12 - 8) + 1 + -4). Suppose 2/7*a + i - 1/7*a**2 = 0. Calculate a.
0, 2
Determine b, given that 2*b**2 + 15*b - 8*b**2 + 4*b**2 + 7*b**2 = 0.
-3, 0
Suppose -18*p + 160 = -8*p. Let w(i) = i**3 - 15*i**2 - 18*i + 35. Let n be w(p). Solve -1/4*c**n + 1/4*c + 0*c**2 + 0 = 0 for c.
-1, 0, 1
Suppose -232/15*i**3 + 162/5 + 504/5*i + 52*i**2 + 14/15*i**4 = 0. Calculate i.
-1, -3/7, 9
Let q = 66 - 63. Find z such that -z**q + 2*z + 0*z**3 - 8*z**2 - 4*z**3 - 6*z - z**4 = 0.
-2, -1, 0
Let z(w) = -11*w - 15. Let f be z(-5). Suppose 36*s = f*s. Factor 1/3*d**4 + 0*d**2 + 0*d - 1/3*d**3 + s.
d**3*(d - 1)/3
Let v be (-2 - 3)*(-2 - -1). Solve -r + 3*r**2 + 2*r**4 + r**5 - v*r**2 + 0*r**2 = 0 for r.
-1, 0, 1
Let y(n) = -26*n + 56. Let o be y(2). Let j(q) be the second derivative of -5*q + 5/3*q**3 + 0 - 2*q**2 - 2/3*q**o + 1/10*q**5. Suppose j(z) = 0. Calculate z.
1, 2
Let r(f) be the second derivative of f**6/40 - 17*f**5/80 + 3*f**4/8 + f**3/3 + 7*f + 1. What is a in r(a) = 0?
-1/3, 0, 2, 4
Let i(j) be the third derivative of 7*j**7/120 + 1729*j**6/240 + 20663*j**5/80 + 8645*j**4/24 + 1225*j**3/6 + 370*j**2. Determine k so that i(k) = 0.
-35, -2/7
Let f = 178 - 199. Let a be 42/(-36)*(-1 + (-18)/f). What is n in 0*n + 0 + a*n**3 - 1/6*n**2 = 0?
0, 1
Let u be 10 + 248/(-26) + 0/10. Factor -2/13*y**2 - 4/13 - u*y.
-2*(y + 1)*(y + 2)/13
Let r(p) = 2*p**3 - 68*p**2 + 506*p + 578. Let j(a) = -12*a**3 + 409*a**2 - 3034*a - 3468. Let g(s) = 2*j(s) + 13*r(s). Factor g(k).
2*(k - 17)**2*(k + 1)
Let f(g) be the second derivative of -3*g**5/80 + 87*g**4/16 - 2523*g**3/8 + 73167*g**2/8 - 25*g - 5. Factor f(b).
-3*(b - 29)**3/4
Let h(l) = 2*l**2 - 22*l - 24. Let o(v) = v - 1. Let t be o(3). Let s(g) = -g - 1. Let d(b) = t*h(b) - 44*s(b). Suppose d(f) = 0. What is f?
-1, 1
Let s(t) be the first derivative of -5/3*t**3 - 5/2*t**2 - 7 + 10*t. Determine v, given that s(v) = 0.
-2, 1
Suppose -24 + 3 = -7*w. Suppose w*p**3 + 3*p**4 - 75*p**5 - 67*p**5 + 139*p**5 + 3*p**3 = 0. Calculate p.
-1, 0, 2
Let v(j) be the second derivative of -1/10*j**5 + 0*j**2 + 0 + 0*j**3 + 2*j - 1/3*j**4. Suppose v(u) = 0. Calculate u.
-2, 0
Let p(x) be the second derivative of 5*x - 1/2*x**3 - 1/4*x**4 - 1/20*x**5 + 0 + 5/2*x**2. Let w(k) be the first derivative of p(k). Factor w(i).
-3*(i + 1)**2
Let m = -25873/3 - -8625. Factor -z + 1/3*z**3 + 0 + m*z**2.
z*(z - 1)*(z + 3)/3
Let x be 2/(4 + 18/(-5)). Let o(l) be the third derivative of -l**2 + 0 - 4/105*l**7 + 0*l**4 + 1/84*l**8 + 1/30*l**6 + 0*l + 0*l**x + 0*l**3. Factor o(k).
4*k**3*(k - 1)**2
Determine h, given that 3 + 72*h - 1 + 6 + 7*h**3 + 254*h**2 - 8 = 0.
-36, -2/7, 0
Solve 244*b**4 - 65*b**3 - 205*b**2 + 242*b**4 - 235*b - 90 - 491*b**4 = 0 for b.
-9, -2, -1
Determine s so that s**2 + 2/5*s + 4/5*s**3 + 0 + 1/5*s**4 = 0.
-2, -1, 0
Factor 16 + 45*g**4 - 16 - 50*g**4 - 8000*g - 7600*g**2 + 395*g**3.
-5*g*(g - 40)**2*(g + 1)
Factor 3*m**2 + 3*m**3 - 3/2 - 3/2*m - 3/2*m**5 - 3/2*m**4.
-3*(m - 1)**2*(m + 1)**3/2
Let a(l) be the second derivative of -7*l**4/30 + l**3/3 - 38*l. Factor a(z).
-2*z*(7*z - 5)/5
Let u(j) be the third derivative of -j**6/200 - j**5/2 - 84*j**4/5 - 576*j**3/5 + 11*j**2. Factor u(x).
-3*(x + 2)*(x + 24)**2/5
Let m(t) = -18*t + 162. Let y be m(9). Let x(g) be the second derivative of 1/3*g**4 + 2*g - 6*g**2 + y - 4/3*g**3. Factor x(b).
4*(b - 3)*(b + 1)
What is k in -17 - 2*k**2 - k**3 + 2*k + 13*k - 2*k + 7 = 0?
-5, 1, 2
Let i(y) be the third derivative of -y**8/33600 - y**7/700 - 3*y**6/100 + 3*y**5/20 + 10*y**2. Let o(m) be the third derivative of i(m). Factor o(p).
-3*(p + 6)**2/5
Let y(l) be the third derivative of l**5/20 - 21*l**4/2 + 83*l**3/2 + 2*l**2 - 20. Let y(a) = 0. What is a?
1, 83
Let u be (-18)/8*8/(-3). Suppose -f = f - u. Factor -17*k**2 + 20*k - 19*k**2 + 30*k**f - 1 - 9*k**4 - 2*k - 2.
-3*(k - 1)**3*(3*k - 1)
Let s(a) be the second derivative of a**5/30 - 2*a**4/9 + 5*a**3/9 - 2*a**2/3 + a - 5. Factor s(o).
2*(o - 2)*(o - 1)**2/3
Let i(f) = -4*f**2 - 8*f. Let y(g) = -3*g**2 - 8*g. Let m(n) = -5*i(n) + 6*y(n). Find u such that m(u) = 0.
0, 4
Suppose -4 + 5*a**2 + 774*a - 864*a + 4 = 0. What is a?
0, 18
Let b(w) = w**5 - w**4 + 7*w**3 - 3. Let y(p) be the second derivative of p**7/21 - p**6/15 + p**5 - 4*p**2 + 19*p. Let o(a) = -8*b(a) + 3*y(a). Factor o(c).
-2*c**3*(c - 2)*(c + 1)
Let a(u) be the first derivative of 2*u**3/