t k = 2004 - 20009/10. Let z = k - 13/5. Let z*j**2 + 3/2*j**4 + 3/2*j**3 + 0 + 0*j + 1/2*j**5 = 0. Calculate j.
-1, 0
Let o be (-5)/(-10) + (3 - (-65)/(-20)). Let h(d) be the second derivative of 0*d**2 - 1/12*d**4 - o*d**5 + 0 + 0*d**3 - 2/15*d**6 - d. Factor h(n).
-n**2*(n + 1)*(4*n + 1)
Let u = 8025/4 + -2006. Find r, given that 0 - u*r**3 + 0*r + 1/4*r**4 + 0*r**2 = 0.
0, 1
What is l in -13 - 89*l**3 + 440*l**2 - 5 + 0 + 19 - 311*l**3 - 41*l = 0?
1/20, 1
Factor 31944*n**2 - 94*n**4 - 44189*n**3 + 292*n**4 + 48545*n**3 + 3*n**5.
3*n**2*(n + 22)**3
Factor 230/3*a + 13225/3 + 1/3*a**2.
(a + 115)**2/3
Factor -14*h - 109*h**2 + 64 + h**4 + 48*h**2 - 4*h**3 + 49*h**2 + 46*h.
(h - 4)**2*(h + 2)**2
Let r(v) be the second derivative of -v**5/15 + 8*v**4/9 - 14*v**3/9 + 34*v. Let r(x) = 0. Calculate x.
0, 1, 7
Let o(w) be the second derivative of 5*w**4/24 + 385*w**3/6 + 29645*w**2/4 + 190*w. Factor o(f).
5*(f + 77)**2/2
Let x(f) be the third derivative of f**5/240 + 5*f**4/32 + 102*f**2. Factor x(v).
v*(v + 15)/4
Suppose -20 = -4*k, 2*k + 3 = d + 2. Let z = -6 + d. Determine w so that -3*w**2 - 4*w + 0*w**2 + z*w**2 = 0.
0, 2
Suppose -7*y - 6*y = -52. Let g(m) be the second derivative of 0 - 1/21*m**y + 1/42*m**6 - 9*m - 1/14*m**2 - 1/7*m**3 + 3/70*m**5. Factor g(n).
(n - 1)*(n + 1)**2*(5*n + 1)/7
Let a(y) be the third derivative of y**6/200 + 3*y**5/50 + y**4/8 + 2*y**2 - 106. Find s, given that a(s) = 0.
-5, -1, 0
Suppose 0 = -0*k + k - 3. Suppose v - k*v + 2*p = 0, -5*v + 24 = 3*p. Find z, given that -z**v - 3*z**3 + 7*z - 3*z**2 - 2 - 4*z**3 + 4*z**4 = 0.
-1, 1/2, 2
Solve -54 + 97*f - 30*f**2 + 37*f**2 + 69*f + 6 = 0.
-24, 2/7
Let y be (60/(-630))/((-2)/28). Suppose -y*a**2 - 8/3*a + 4 = 0. What is a?
-3, 1
Let b(k) = -k**2 + k. Let u(s) = 2*s**3 - 5*s**2 - 13*s. Let o(a) = -3*b(a) - u(a). Factor o(v).
-2*v*(v - 5)*(v + 1)
Suppose 3*b - 2*j - 3*j = 185, -228 = -4*b + 2*j. Suppose b*x**4 - 5*x - 12*x**3 - 59*x**4 + 21*x = 0. Calculate x.
-2, 0, 1
Suppose 10 = 2*y + 3*y. Suppose 0 = 2*f + 4*n - 14, 4*n = -5*f + y*n + 75. Find d, given that -f*d**3 + 27*d + 7*d**4 - 15*d**2 - 6 + 14*d**4 - 10*d**3 = 0.
-1, 2/7, 1
Let j be 2/24 - -205*16/6720. Solve 0 + 4/7*d**2 - j*d = 0.
0, 1
Let l(f) be the first derivative of f**8/840 + f**7/84 + f**6/45 + f**3 + 7. Let w(q) be the third derivative of l(q). Factor w(t).
2*t**2*(t + 1)*(t + 4)
Suppose 0 - 13/4*k**2 - k**3 - 3/4*k = 0. What is k?
-3, -1/4, 0
Let j(t) = 8*t + 33. Let x be j(-4). Let v be 2/x - (-40)/(-28). Factor 2/7*y**4 + v*y**3 - 2/7 - 4/7*y + 0*y**2.
2*(y - 1)*(y + 1)**3/7
Let w(x) be the second derivative of 2*x**6/75 - 3*x**5/25 + x**4/5 - 2*x**3/15 + x - 23. Suppose w(h) = 0. Calculate h.
0, 1
Let z = 9 - -40. Let a be 14/z + 66/14. Let -7*k**4 + k**a + 3*k**3 + 2*k**4 - k**2 + 2*k**4 = 0. What is k?
0, 1
Let z(t) be the third derivative of t**8/1008 + 2*t**7/105 + 5*t**6/36 + 7*t**5/15 + 5*t**4/8 + 127*t**2. Find f such that z(f) = 0.
-5, -3, -1, 0
Let b = -318 + 324. Let n(s) be the second derivative of -4*s + 0 + 1/10*s**b + 0*s**2 - 1/6*s**3 - 7/20*s**5 + 5/12*s**4. Suppose n(x) = 0. Calculate x.
0, 1/3, 1
Let j(t) be the third derivative of t**5/450 + 2*t**4/45 - t**3/5 - 4*t**2 + 3. Factor j(d).
2*(d - 1)*(d + 9)/15
Let f(r) be the first derivative of 75/4*r**4 - 5/2*r**6 + 10*r**3 - 30*r**2 + 40 - 6/5*r**5 - 24*r. Let f(s) = 0. What is s?
-2, -1, -2/5, 1, 2
Suppose -5*i = -11*i + 24. Let x be 1*-1 - (-5 - -2). Factor 36*p**x + 3*p**i - 5*p + 8 - 13*p - 20*p**3 - 10*p + p**4.
4*(p - 2)*(p - 1)**3
Suppose 2*n + 0*n + g = 3, -4*n - g + 9 = 0. Let s be 525/300*(-64)/(-616). Suppose -2/11*h**2 - 6/11*h**n - s*h**4 + 4/11 + 6/11*h = 0. What is h?
-2, -1, 1
Suppose 0 = -5*y + 4*j + 2 + 4, 0 = -5*y + 5*j + 5. Let w be (-1)/y - (7 + -8). Determine z, given that -1/4*z**3 + 1/4*z + w - 1/2*z**2 = 0.
-2, -1, 1
Let r(k) = 92*k + 4. Let z be r(-1). Let v = -263/3 - z. What is a in -v*a**4 + a**3 + 0*a - 2/3*a**2 + 0 = 0?
0, 1, 2
Let c(a) be the second derivative of -a**6/540 - a**5/270 + 19*a**2 - 48*a. Let j(o) be the first derivative of c(o). Suppose j(w) = 0. Calculate w.
-1, 0
Let u(b) = 3*b**2 - 15*b - 15. Let y = -29 - -32. Let n(k) = -3*k**2 + 16*k + 15. Let t(q) = y*n(q) + 4*u(q). Factor t(i).
3*(i - 5)*(i + 1)
Let h(v) be the third derivative of -v**8/112 + v**7/7 - 29*v**6/40 + 8*v**5/5 - 3*v**4/2 + 58*v**2. Let h(b) = 0. What is b?
0, 1, 2, 6
Let b be (-1 + 4)*(1 + 1). Let s(l) be the third derivative of 0*l**4 - 1/1176*l**8 + 3*l**2 + 0 + 0*l + 0*l**7 + 1/140*l**b - 1/105*l**5 + 0*l**3. Factor s(x).
-2*x**2*(x - 1)**2*(x + 2)/7
Solve 26 + 909/2*w**2 - 162*w**3 + 226*w = 0.
-2/9, 13/4
Let l(p) = p**5 + p. Let t(w) = 5*w**5 + 2*w**4 + 6*w**3 - 20*w**2 + 25*w - 6. Let b(a) = 6*l(a) - t(a). Factor b(y).
(y - 2)*(y - 1)**3*(y + 3)
Let g(l) be the first derivative of 0*l - 1/120*l**5 + 2*l**3 - 6 - 1/720*l**6 + 0*l**4 + 0*l**2. Let v(n) be the third derivative of g(n). Factor v(p).
-p*(p + 2)/2
Let r be (((-4)/(-16))/(6/(-16)))/(150/(-675)). Factor -r + 9/4*v + 3/4*v**2.
3*(v - 1)*(v + 4)/4
Let t(l) be the first derivative of -5*l**4/4 + 5*l**3 + 60*l**2 + 140*l - 35. Let t(i) = 0. What is i?
-2, 7
Let y(i) be the first derivative of 12 + 6*i**2 - i**3 + 12*i - 3/4*i**4. Factor y(q).
-3*(q - 2)*(q + 1)*(q + 2)
Let w(v) = -4*v**2 - 3*v + 3*v. Let m(u) = u**2 - 2*u - 7. Let y be m(-2). Let i(n) = -n**2. Let x(o) = y*w(o) - 5*i(o). Factor x(a).
a**2
Suppose 6*y - 4*r = 2*y, 2*r = 3*y - 3. Determine x, given that y*x**2 - 24 + x**2 + 8 = 0.
-2, 2
Let c be (-1)/(-4) - 519/12. Let b = -128/3 - c. Solve 2/3*t + t**2 - b = 0.
-1, 1/3
Let s(y) be the first derivative of -3 - 1/24*y**3 + 1/16*y**2 - 1/32*y**4 + 1/8*y. Factor s(a).
-(a - 1)*(a + 1)**2/8
Suppose -10*x = -413 + 393. Suppose 0 - x*l**3 - 8/3*l + 1/3*l**4 + 4*l**2 = 0. What is l?
0, 2
Let q(x) = x**3 + 7*x**2 + 2*x - 12. Let z be q(-6). Suppose 11*j + 3 = z*j. Let 3/5*w**5 - 24/5*w + 12/5*w**2 + 0 - 3*w**4 + 18/5*w**j = 0. Calculate w.
-1, 0, 2
Let l = -23 + 118. Let k = 99 - l. Factor 4/9*f**2 + 0 + 2/9*f - 2/9*f**5 + 0*f**3 - 4/9*f**k.
-2*f*(f - 1)*(f + 1)**3/9
Let h(i) = 2 - 6 + 12*i - 37*i**2 + 0 + 36*i**2. Let d(f) = -f. Let r(t) = -14*d(t) - 2*h(t). Let r(z) = 0. Calculate z.
1, 4
Let y(w) be the second derivative of -w**8/1344 + w**7/210 - w**6/120 + 5*w**2/2 + 20*w. Let f(v) be the first derivative of y(v). Let f(j) = 0. What is j?
0, 2
Let m(y) = 5*y**3 + 24*y**2 + 41*y - 66. Let p(j) = 11*j**3 + 45*j**2 + 84*j - 131. Let h(d) = -18*m(d) + 8*p(d). Factor h(u).
-2*(u - 1)*(u + 2)*(u + 35)
Let q(f) be the second derivative of -20*f + 1/30*f**6 + 0 + 1/6*f**4 + 2/3*f**3 - 3/2*f**2 - 1/5*f**5. Factor q(g).
(g - 3)*(g - 1)**2*(g + 1)
Let c(w) be the third derivative of 0*w**4 + 0 - 1/1365*w**7 + 1/390*w**5 + 0*w**3 + 0*w + 0*w**6 - 9*w**2. Solve c(f) = 0.
-1, 0, 1
Let o(d) be the second derivative of d**2 + 1/5*d**5 + 0 + 1/15*d**6 - 1/3*d**4 + 8*d - 1/3*d**3 - 1/21*d**7. Factor o(y).
-2*(y - 1)**3*(y + 1)**2
Suppose 0 = -2*a - 3*y + 69 + 10, -y + 73 = 2*a. Suppose 64 + p**5 + 120*p + 69*p**3 - 6*p**5 - 45*p**4 + 16 - a*p**2 - 184*p**3 = 0. Calculate p.
-4, -1, 1
Let z(c) be the first derivative of 5 - 4/3*c + 4/9*c**3 + 0*c**2. Factor z(f).
4*(f - 1)*(f + 1)/3
Let v = -41 - -167/4. Let k(y) be the first derivative of -6*y - v*y**4 + 3/2*y**2 + 1 + 2*y**3. Solve k(w) = 0.
-1, 1, 2
What is v in 132 + 9*v**3 - 275 - 2*v + 131 - 6*v + 17*v**2 - v**5 - 5*v**4 = 0?
-6, -1, 1, 2
Find g, given that -6 - 28/5*g + 2/5*g**2 = 0.
-1, 15
Suppose 185*t + 2*g = 187*t + 6, 0 = -4*t - 3*g + 23. Factor 13/2*o**t + 5/2*o**3 + 2*o - 2.
(o + 1)*(o + 2)*(5*o - 2)/2
Let j(h) = -6*h**3 + 246*h**2 - 238*h - 494. Let x(w) = -13*w**3 + 491*w**2 - 477*w - 991. Let z(r) = 5*j(r) - 2*x(r). Find m, given that z(m) = 0.
-1, 2, 61
Let l(n) be the second derivative of 0 - 25/3*n**4 - 19/2*n**2 - 77/6*n**3 - 3*n. Let c(j) = 500*j**2 + 386*j + 94. Let q(f) = -3*c(f) - 14*l(f). Factor q(o).
-4*(5*o + 2)**2
Let m(f) be the first derivative of f**6/72 - f**5/24 + 20*f**3/3 - 27. Let q(v) be the third derivative of m(v). Factor q(s).
5*s*(s - 1)
Let b(j) be the first derivative of j**3 + 183*j**2 - 309. Factor b(o).
3*o*(o + 122)
Let j(o) be the second derivative of 