3*a = 5*a + 1, 2*a = 4*q. Let g = q + 5. Let -1/2*x**g - x + x**3 + 0*x**2 + 1/2 = 0. Calculate x.
-1, 1
Suppose 3*d - 5*q - 10 = -2*d, d = -2*q + 2. Factor -2*t + 2*t**2 + 3 - 5*t**2 + 1 + t**d.
-2*(t - 1)*(t + 2)
Let f(q) = 4*q. Let c be f(1). Suppose 6 = -z - c*l, 5*z + l - 16 = 4*l. Factor 7*s**4 - 11*s**4 - 10*s**4 + 14*s**z - 4*s + 2*s**3 + 2*s**3.
-2*s*(s - 1)*(s + 1)*(7*s - 2)
Let i be 4 + -2 - 4220/630. Let g = i + 36/7. Suppose 0 + 0*h**2 - 2/9*h**5 - g*h**4 + 0*h**3 + 0*h = 0. What is h?
-2, 0
Determine c, given that -30*c - 167*c**2 - 45 + 321*c**2 - 159*c**2 = 0.
-3
Let p(j) be the first derivative of j**6/2 + 9*j**5/5 - 4*j**3 - 41. Suppose p(l) = 0. Calculate l.
-2, 0, 1
Let w(u) be the first derivative of 5/4*u**4 - 8*u - 2*u**2 + 1/5*u**5 + 2*u**3 - 9. Factor w(h).
(h - 1)*(h + 2)**3
Let h(m) = 25*m**3 - 16*m**2 - 128*m + 201. Let z(y) = 6*y**3 - 4*y**2 - 32*y + 50. Let a(p) = 2*h(p) - 9*z(p). Factor a(d).
-4*(d - 2)**2*(d + 3)
Let c = -79 + 55. Let g = -70/3 - c. Let 0 - g*n**2 + 2/3*n = 0. Calculate n.
0, 1
Let u = 46/5 - 179/20. Let v(n) be the second derivative of 0 + 21/40*n**5 - 7/4*n**3 - 3*n - 3/2*n**2 + u*n**4. Factor v(t).
3*(t - 1)*(t + 1)*(7*t + 2)/2
Let r = 6 - 4. Suppose -2*s - r*d = 0, -2*s + 1 = 4*d + 9. What is z in -3*z**s + 2 - 7*z**2 - 3*z + 3*z**3 + 0*z + 8*z**4 + 0*z**3 = 0?
-1, 2/5, 1
Suppose -8*u = 4*x - 3*u - 6, -2*x = -2*u + 6. Let q be (-3 + x)*(-3)/6. Factor 8/5*b**q + 8/5*b**4 + 0 + 2/5*b + 2/5*b**5 + 12/5*b**3.
2*b*(b + 1)**4/5
Let v = 501 + -352. Let k = v + -1339/9. Determine o, given that -4/9*o**2 + 2/9 - 4/9*o**5 + 8/9*o**3 - 4/9*o + k*o**4 = 0.
-1, 1/2, 1
Let d(c) be the third derivative of -c**8/168 + c**7/105 + c**6/30 - c**5/15 - c**4/12 + c**3/3 + 3*c**2. Find q, given that d(q) = 0.
-1, 1
Let d be (0 - 0)/(13 + -11). Let q(a) be the second derivative of 0 + 0*a**2 - 1/30*a**4 + d*a**3 + a. What is c in q(c) = 0?
0
Let p(q) be the second derivative of 0 + 4*q - 1/9*q**3 - 2/15*q**5 - 5/18*q**4 + 0*q**2. Let p(r) = 0. What is r?
-1, -1/4, 0
Let m be 1 + (2 + 8)/2. Suppose m + 10 = 4*k. Factor -1/2*z**2 + 3/4*z**3 + z**k + 0 - z**5 - 1/4*z.
-z*(z - 1)**2*(2*z + 1)**2/4
Factor 2/5*q**5 + 6/5*q**4 + 2/5*q**2 + 0*q + 0 + 6/5*q**3.
2*q**2*(q + 1)**3/5
Let l(t) be the first derivative of t**5/5 - 2*t**3/3 + t - 9. Determine w so that l(w) = 0.
-1, 1
Factor -5*m**4 + 3*m - 3*m**3 - 3*m - 17*m**3 - 10*m - 25*m**2.
-5*m*(m + 1)**2*(m + 2)
Let y = 1 + 1. Suppose 4*q = y*u + 2*q + 4, -20 = -2*u - 4*q. Factor -3*m - 1 + m + 0*m - m**u.
-(m + 1)**2
Let t(x) = x**3 - 6*x**2 + 6*x - 5. Let y be t(5). Let a(w) be the second derivative of 3*w + 1/20*w**5 + 0 + y*w**4 + 0*w**3 + 0*w**2. Factor a(g).
g**3
Let p(c) be the first derivative of -c**6/120 - 3*c**5/80 - c**4/16 - c**3/24 + 5*c - 6. Let u(t) be the first derivative of p(t). Factor u(m).
-m*(m + 1)**3/4
Let x(g) be the first derivative of 4*g**3/3 - 4*g**2 - 8. Solve x(h) = 0.
0, 2
Let p = -82 - -85. Let y(r) be the third derivative of -1/60*r**5 + 0 + 0*r**p + 0*r + 1/24*r**4 - 2*r**2. Let y(n) = 0. What is n?
0, 1
Let y(q) = q**3 - 9*q**2 - 9*q - 4. Let n be y(10). Let x be 2/n*9/6. Find s such that -1/2*s**5 - 1/2*s + s**3 + x*s**4 + 1/2 - s**2 = 0.
-1, 1
Let v(i) = -11*i**4 - 23*i**3 - 6*i**2 + 13*i + 12. Let l(b) = -5*b**4 - 11*b**3 - 3*b**2 + 7*b + 6. Let d(t) = 5*l(t) - 2*v(t). Suppose d(k) = 0. Calculate k.
-2, -1, 1
Let p(s) be the second derivative of -s**6/270 - s**5/90 + 11*s**4/108 + 2*s**3/9 - 2*s**2 + 22*s. What is q in p(q) = 0?
-3, 2
Let k(r) = -r**2 + 13*r - 37. Let y be k(5). Factor -1/4*m**2 + 1/4*m - 1/4*m**y + 1/4.
-(m - 1)*(m + 1)**2/4
Let g be (-8)/(-56) + 13/7. Factor 2/3*v**g + 4/3*v**3 + 2/3*v**4 + 0*v + 0.
2*v**2*(v + 1)**2/3
Let v(s) be the second derivative of -s**8/210 + s**7/420 + 5*s**3/6 + 5*s. Let a(b) be the second derivative of v(b). Determine q, given that a(q) = 0.
0, 1/4
Suppose -5*v = -15, 4*i - 2*v = -0*v - 6. Suppose -2*f - 1 = 5*d, i = 4*f - 5*d - 12 - 1. Find k such that 0 - 5/4*k**f - 1/2*k + 7/4*k**3 = 0.
-2/7, 0, 1
Let p = 10 + -8. Factor -4*o**2 + p*o - 4*o**3 + 2*o**5 + 2*o**4 + 2 + 3*o**5 - 3*o**5.
2*(o - 1)**2*(o + 1)**3
Determine w so that 0 + 1/4*w**5 - 3/4*w**4 + 0*w**2 + 1/2*w**3 + 0*w = 0.
0, 1, 2
Let s**2 + 14*s + 46*s + 304 - 124 + 4*s**2 = 0. Calculate s.
-6
Let o = 17/69 - -2/23. Solve 1/6*d + 0 + 1/6*d**3 + o*d**2 = 0 for d.
-1, 0
Let m(z) be the first derivative of -z**3/6 + z**2/2 - z/2 + 4. Solve m(x) = 0 for x.
1
Let l(b) = 2*b**2 - 4*b + 2. Let d be l(0). Factor d*p + 2/3*p**3 + 2*p**2 + 2/3.
2*(p + 1)**3/3
Factor -16/5 - 12/5*p + 4/5*p**2.
4*(p - 4)*(p + 1)/5
Let k(o) be the third derivative of 10*o**7/63 - o**6/3 - 4*o**5/5 - 4*o**4/9 - 49*o**2. Determine d so that k(d) = 0.
-2/5, 0, 2
Factor 0 - 4/5*a - 1/5*a**2.
-a*(a + 4)/5
Suppose -c + 19 = 5. Let m = c - 11. Find p such that -2*p**2 - 2/3 + 2*p + 2/3*p**m = 0.
1
Let q = -1914/5 + 383. Let q*o + 2/5*o**2 + 1/5*o**3 + 0 = 0. What is o?
-1, 0
Let 8/7 - 2/7*y**2 + 0*y = 0. What is y?
-2, 2
Let y(g) be the third derivative of g**5/240 + g**4/24 + g**3/6 - 3*g**2. What is d in y(d) = 0?
-2
Let y = 54 + -376/7. Factor 2/7*b**5 + 0*b + 2/7*b**4 - y*b**2 + 0 - 2/7*b**3.
2*b**2*(b - 1)*(b + 1)**2/7
Let s(f) be the first derivative of 5*f**3/3 + 5*f**2/2 - 23. Let s(k) = 0. Calculate k.
-1, 0
Let z(a) be the third derivative of 1/360*a**6 + 0 + 0*a**5 - 1/630*a**7 + 0*a - 4*a**2 + 0*a**3 + 0*a**4. Let z(o) = 0. Calculate o.
0, 1
Let u be (-20)/30*(-2 - 1). Let f(b) be the second derivative of 2/9*b**3 + 1/18*b**4 - 4*b + 0 + 1/3*b**u. Factor f(y).
2*(y + 1)**2/3
Let i(p) be the first derivative of -p**6/1620 - p**5/270 - p**3/3 - 4. Let t(m) be the third derivative of i(m). What is k in t(k) = 0?
-2, 0
Let d(o) be the second derivative of -7/6*o**4 + 2/3*o**3 - 5*o + 0 + 0*o**2. Factor d(y).
-2*y*(7*y - 2)
Determine a so that -15*a**3 + 74*a**2 - a**4 + 2*a**4 - 125*a + a**2 = 0.
0, 5
Let b(k) be the second derivative of -7*k**6/75 - 6*k**5/25 + 11*k**4/30 + 4*k**3/5 - 4*k**2/5 - 21*k. Determine d, given that b(d) = 0.
-2, -1, 2/7, 1
Let u be (-2)/24*12/(-3). Suppose -u*r**3 - 1/3*r**4 + 1/3*r**2 + 0 + 1/3*r = 0. What is r?
-1, 0, 1
Let a = -88952247/76505 - -167346/143. Let f = a + 5/107. Factor 8/5 - 14/5*d**3 - f*d**2 - 16/5*d.
-2*(d + 1)*(d + 2)*(7*d - 2)/5
Let o(c) = -4*c**3 - 6*c**2 - 7*c + 5. Let k(d) = d**3 + d**2 + d - 1. Let z(g) = -5*k(g) - o(g). Find h such that z(h) = 0.
-1, 0, 2
Let u = 2/91 - -73/819. Let x(m) be the first derivative of -u*m**3 + 2 + 1/3*m + 0*m**2. Solve x(a) = 0.
-1, 1
Let l be 4/(-6)*90/(-5). Suppose -j = -3*j + 4*t - l, -j + 3*t = 10. Find k such that 4*k**3 - 6*k**3 - j + 2 - k**4 = 0.
-2, 0
Let l be 2/(-6) + 3279/(-45). Let x = 74 + l. Factor 6/5*r**2 - x*r + 0.
2*r*(3*r - 2)/5
Let r(c) = 2*c**5 - 16*c**3 - 10*c**2 + 10*c + 6. Let a(b) = b**5 - 16*b**3 - 11*b**2 + 9*b + 5. Let f(n) = 2*a(n) - 3*r(n). Solve f(k) = 0 for k.
-1, 1, 2
Suppose 3*m + 2*l + 4 = 4*m, 2*m + 37 = -5*l. Let z = m + 10. Determine j, given that 2*j**4 - 2*j**3 + 0*j**z - 3*j**4 = 0.
-2, 0
Let d(s) be the first derivative of -2*s**3 + 2/5*s**5 + 4*s + s**2 - 1/2*s**4 - 2. Find y, given that d(y) = 0.
-1, 1, 2
Let -4*t**5 + 7*t - 31*t**3 - 34*t**4 + 10*t**4 - 23*t - 21*t**3 - 48*t**2 = 0. What is t?
-2, -1, 0
Let v be (1/(-3))/((-10)/15 + 0). Let h(s) be the first derivative of -2/3*s + v*s**2 - 1/9*s**3 + 2. Factor h(p).
-(p - 2)*(p - 1)/3
Suppose -11*y + y = 0. Factor -32/11*z**4 - 18/11*z**2 + y + 2/11*z + 48/11*z**3.
-2*z*(z - 1)*(4*z - 1)**2/11
Solve -243/2 - 3/2*g**2 - 27*g = 0.
-9
Let w(j) be the third derivative of j**8/1344 - j**7/140 + j**6/40 - j**5/24 + j**4/32 + 11*j**2. Determine b so that w(b) = 0.
0, 1, 3
Let t(f) = 6*f**5 - 12*f**4 + 9*f**3 + 3*f**2 - 3*f. Let h(u) = 5*u**5 - 12*u**4 + 10*u**3 + 2*u**2 - 2*u. Let c(q) = 3*h(q) - 2*t(q). Factor c(y).
3*y**3*(y - 2)**2
Let i = -6 + 4. Let j be (i/(-3))/(3/9). What is k in 2*k - k**5 + j*k**3 + 0*k**5 - 3*k = 0?
-1, 0, 1
Factor 36*d**2 + 30*d + 3/5*d**4 + 42/5*d**3 - 75.
3*(d - 1)*(d + 5)**3/5
Suppose -3*d = -3 - 6. Solve -2*w + 2*w**3 - d*w**4 - w**4 + 3*w**4 + w**2 = 0.
-1, 0, 1, 2
Let f = -97/3 - -33. Let b(d) be the first derivative of 0*d + 1 - 2/3*d**3 + f