1, 0, 10
Suppose 0 = -5*c - 0*c + 2*h + 20, -c = 4*h + 18. Solve -1/3*d**c + 0 + 0*d = 0 for d.
0
Let u(f) = -4*f**2 + 736*f - 24. Let z(j) = j**2 - 147*j + 5. Let a(h) = -5*u(h) - 24*z(h). Suppose a(p) = 0. Calculate p.
-38, 0
Factor -2*b - 38*b - 115*b**2 + 14*b**3 + b**3.
5*b*(b - 8)*(3*b + 1)
Let p(d) = -73*d**2 - 422*d + 23. Let w be p(-5). Factor -w*v - 25/3*v**4 - 196/3 - 949/3*v**2 + 110*v**3.
-(v - 7)**2*(5*v + 2)**2/3
Let c(d) = 6*d**3 - 5*d**3 + 1 + d**4 + 2*d - d - 2*d. Let r(k) = 6*k**4 + 14*k**3 - 34*k**2 + 16*k - 14. Let y(m) = -36*c(m) - 2*r(m). Solve y(a) = 0.
-2, -1/3, 1/2
Suppose -254*c**4 + 40*c**3 - 11*c**2 - 40*c + 518*c**4 + 41 - 31*c**2 - 263*c**4 = 0. Calculate c.
-41, -1, 1
Let n(h) be the first derivative of h**4/28 - 8*h**3/21 + 9*h**2/14 + 18*h/7 + 551. Factor n(u).
(u - 6)*(u - 3)*(u + 1)/7
Let f be 4/22 + (-12)/66. Suppose r = -2*w + 4*w, f = -r - 5*w + 7. Find t, given that 3*t**r + 5*t + t + t + 6 + 2*t = 0.
-2, -1
Factor -55*l**3 - 48*l**2 + 155*l**3 - 80*l**3 + 36*l - 8.
4*(l - 1)**2*(5*l - 2)
Suppose -6*c = -3*c - 78. Let n = 42 - c. Factor -6*s - n*s**3 + 6*s**3 - 2*s + 2*s**4 + 16*s**2.
2*s*(s - 2)**2*(s - 1)
Let b(d) be the second derivative of 1/135*d**6 + 1/9*d**2 + 0*d**5 + 0*d**3 + 0 - 1/27*d**4 + 12*d. Find x such that b(x) = 0.
-1, 1
Let r(q) be the third derivative of -q**7/60 + 4*q**6/45 - q**5/15 + 5*q**3 + 13*q**2. Let i(v) be the first derivative of r(v). Find z such that i(z) = 0.
0, 2/7, 2
Let f be (-6 + -8)*18/4. Let m be 14/f + 110/9. Suppose 3 + 3*g**4 + 12*g**3 - 3*g**2 - 3*g**4 + 21*g**2 + 3*g**4 + m*g = 0. Calculate g.
-1
Let b(j) = -j**3 - 8*j**2 - 6*j + 9. Let m = -19 + 12. Let l be b(m). Factor 12*q**3 + 2*q + q**l + 0*q**2 - 13*q**3.
-q*(q - 2)*(q + 1)
Let h(r) = -2*r**5 + 3*r**4 + 6*r**3 + 7*r**2 + r - 5. Let b(g) = g**4 + g**2 + g - 1. Let w(k) = 5*b(k) - h(k). Factor w(u).
2*u*(u - 1)**2*(u + 1)*(u + 2)
Solve 2*q + 12/5 - 2/5*q**3 - 4/5*q**2 = 0 for q.
-3, -1, 2
Let t(d) be the third derivative of d**6/480 + 7*d**5/240 - d**4/96 - 7*d**3/24 + 24*d**2. Factor t(p).
(p - 1)*(p + 1)*(p + 7)/4
Let y = 3 + 2. Let i = y + -3. Factor 1/3*c + 0 + 2/3*c**i + 1/3*c**3.
c*(c + 1)**2/3
Let x(i) = 2*i**2 + 40*i - 120. Let v(d) = -2*d**2 - 42*d + 120. Let m(n) = -3*v(n) - 4*x(n). Find o such that m(o) = 0.
-20, 3
Factor -u**2 + 50*u - 87*u + 40*u.
-u*(u - 3)
Let t(f) be the second derivative of -3/40*f**5 + 0 + 3/4*f**3 + 1/4*f**4 - 11*f + 0*f**2. Factor t(k).
-3*k*(k - 3)*(k + 1)/2
Let u(h) be the third derivative of -h**5/120 - h**4/48 + 5*h**3/2 - 36*h**2. Factor u(z).
-(z - 5)*(z + 6)/2
Let c(l) be the third derivative of 0*l**7 + 1/84*l**8 - 12*l**2 - 4/3*l**3 + 2/15*l**5 + 0 + 0*l + 1/2*l**4 - 2/15*l**6. Suppose c(r) = 0. What is r?
-2, -1, 1
Suppose -3*u + 56 = -25. Let l = 29 - u. What is i in -4/7*i**4 + 0 + 2/7*i**3 + 2/7*i**5 + 0*i + 0*i**l = 0?
0, 1
Determine z, given that -4/9 - 667/9*z**3 - 289/9*z**5 - 97/9*z**2 - 799/9*z**4 + 56/9*z = 0.
-1, 2/17
Let w(d) be the first derivative of 2*d**5/7 - 2*d**4 + 104*d**3/21 - 32*d**2/7 - 43. Find r such that w(r) = 0.
0, 8/5, 2
Let 1/7*w**3 - 841/7 + 899/7*w - 59/7*w**2 = 0. What is w?
1, 29
Factor -486 - 3*u**3 + 35*u**2 - 34*u**2 - 36*u - 29*u + 47*u**2 - 70*u.
-3*(u - 9)**2*(u + 2)
Let z(u) be the second derivative of 0*u**3 + 0*u**2 + u**4 - 17*u - u**5 + 4/15*u**6 + 0. What is v in z(v) = 0?
0, 1, 3/2
Let h be (960/132 - 9) + (1 - -2). Factor 0 + 6/11*l - 2/11*l**4 - h*l**2 + 10/11*l**3.
-2*l*(l - 3)*(l - 1)**2/11
Let a(r) = -10*r**2 + 17*r - 59. Let q(u) = 3*u**2 - 6*u + 19. Let x(l) = -2*a(l) - 7*q(l). Suppose x(w) = 0. Calculate w.
3, 5
Find l such that 1/7*l**4 + 6/7*l + 0 - 11/7*l**2 + 4/7*l**3 = 0.
-6, 0, 1
Let o = 27 - 24. Find l, given that 3*l + 4*l**2 - 2*l + 4*l + o*l = 0.
-2, 0
Let t be 0 + -3 + 7 - (0 - -4). Let i(c) be the first derivative of 1 - 1/4*c**4 + t*c**2 - 2/3*c**3 + 0*c. Factor i(m).
-m**2*(m + 2)
Suppose 2*x + 1 = 4*z + 11, -2 = -2*x - 4*z. Let k(u) = 2*u**2 - u - 4. Let d be k(x). Let -6*o + 2 - 3*o**2 + 6 - d = 0. Calculate o.
-1
Let s(b) = b**2 - 23*b - 34. Let o be s(24). Let d(a) = a**3 + 10*a**2 - 2*a - 18. Let p be d(o). Factor -2/5 + 2/5*h**p - 2/5*h + 2/5*h**3.
2*(h - 1)*(h + 1)**2/5
Let l(t) = t + 2. Let x be l(0). Let r = -2752/5 + 554. Let -8/5 + 6/5*w**x + r*w**3 - 16/5*w = 0. What is w?
-2/3, 1
Let l(x) be the second derivative of x**6/90 - 2*x**4/3 - x**3/3 - 13*x**2/2 + 7*x + 2. Let h(y) be the second derivative of l(y). Find i, given that h(i) = 0.
-2, 2
Let q(o) be the third derivative of o**7/1260 + o**6/120 + o**5/40 + o**4/36 - o**2 + 19. Factor q(g).
g*(g + 1)**2*(g + 4)/6
Let y(l) be the first derivative of l**6/18 - 4*l**5/15 - 11*l**4/12 - 2*l**3/3 - 21. Suppose y(n) = 0. Calculate n.
-1, 0, 6
Let g(p) = 0*p**2 + 9*p - 1 - 3*p**2 + 3. Let h(r) = -4*r**2 + 13*r + 3. Suppose 5*w = 3*l - 38, 4*w + 4*l + 14 = -10. Let v(q) = w*g(q) + 5*h(q). Factor v(k).
(k + 1)**2
Let s(q) be the second derivative of -q**9/45360 + q**7/3780 - q**5/360 - 2*q**4/3 + 8*q. Let p(j) be the third derivative of s(j). Factor p(l).
-(l - 1)**2*(l + 1)**2/3
Let l = 11 + 62. Factor 22*o + 25*o - 5*o**2 - l*o + 36*o.
-5*o*(o - 2)
Suppose -8/3 - 16/9*y - 2/9*y**2 = 0. What is y?
-6, -2
Let c(j) be the first derivative of -j**6/40 + j**5/20 + j**4/8 - j**3/2 + 11*j**2/2 + 6. Let v(l) be the second derivative of c(l). Let v(s) = 0. What is s?
-1, 1
Let v = 99 + -99. Suppose v = -2*r - 2*s - 6, 7*r - 4*r - s - 11 = 0. Find j, given that 3/2*j + 0 - 5/4*j**3 - 13/4*j**r = 0.
-3, 0, 2/5
Suppose -135*b + 294 - b**3 - 38*b - 436 + 88*b**2 + 228 = 0. Calculate b.
1, 86
Find f such that 3*f**4 + 356*f**3 - 24843*f + 547*f**3 + 13781*f**2 - 360*f**3 + 10516*f**2 = 0.
-91, 0, 1
Let g(m) be the first derivative of 3*m**4/4 + 24*m**3 + 495*m**2/2 + 726*m - 64. Let g(k) = 0. Calculate k.
-11, -2
Let a = -42 + 44. Factor -3*t**3 + 5*t**3 + a - 4*t**2 + 2 - 2*t.
2*(t - 2)*(t - 1)*(t + 1)
Let y(d) be the second derivative of -3*d**5/80 + 33*d**4/4 - 1089*d**3/2 - 9*d + 11. Factor y(p).
-3*p*(p - 66)**2/4
Suppose 3*g + 57 = -3*h, 16 = -g - 3*g. Let k = h - -21. Determine a so that -4*a + k*a + a**2 - 3*a**2 = 0.
0, 1
Let m be (-48)/(-288) + 13/(-6) + 2. Let g(u) be the first derivative of 0*u + 5 + m*u**2 - 2/15*u**3. Factor g(p).
-2*p**2/5
Let n(w) = -4*w**3 - 2*w**2 + 2*w. Let a(i) = 7*i**3 + 3*i**2 - 4*i. Let s be (-14)/(-3) + 21/63. Let t(h) = s*n(h) + 3*a(h). Factor t(u).
u*(u - 2)*(u + 1)
Let q = 34 + -56. Let t be (-2)/6*36/q. Factor 4/11 + 2/11*o**2 - t*o.
2*(o - 2)*(o - 1)/11
Let m(c) be the second derivative of -c**7/3780 + 19*c**4/12 + 11*c. Let y(g) be the third derivative of m(g). Find s such that y(s) = 0.
0
Factor -24/5 - 2/5*a**2 - 14/5*a.
-2*(a + 3)*(a + 4)/5
Let c(v) be the second derivative of -11*v**4/20 + 4*v**3/5 + 9*v**2/10 + 2*v + 49. Solve c(w) = 0 for w.
-3/11, 1
Let v = 49 + -39. Let p be 1/(5/6)*v/4. What is i in -8/7*i**4 + 8/7*i**p + 4/7*i**2 + 4/7 + 2/7*i**5 - 10/7*i = 0?
-1, 1, 2
Suppose -130/3*h - 2*h**4 + 50/3*h**2 - 44/3 + 130/3*h**3 = 0. What is h?
-1, -1/3, 1, 22
Let d(x) = 1296*x**4 - 1332*x**3 + 111*x**2 + 168*x + 27. Let w(r) = 185*r**4 - 190*r**3 + 16*r**2 + 24*r + 4. Let i(a) = -4*d(a) + 27*w(a). Factor i(b).
-3*b*(3*b - 2)**2*(7*b + 2)
Let 652*m - 620*m - 2 + 2*m**2 - 32 = 0. What is m?
-17, 1
Factor 49 - 3*s - 21571*s**2 - 11*s + 21572*s**2.
(s - 7)**2
Suppose -34 = 5*z + 116. Let l be ((-4)/(-6))/((-4)/z). Factor 16*j**2 - 5*j**l + 5*j**3 - 16*j**2.
-5*j**3*(j - 1)*(j + 1)
Let f(j) be the second derivative of j**6/120 - j**5/20 - 3*j**4/8 + 7*j**3/3 - 10*j. Let a(g) be the second derivative of f(g). Find i such that a(i) = 0.
-1, 3
Suppose 10 = 3*u + 2*u. Suppose 0 = -4*k + u*m + 6, 0*k - 3*k + 11 = 5*m. Determine f, given that k*f + 2/3*f**2 + 0 = 0.
-3, 0
Let v(g) = -g**2 + 48*g - 127. Let a be v(3). Suppose -7/4*q**3 + 3/2*q**2 + 1/4*q**4 + 8*q - a = 0. What is q?
-2, 1, 4
Let m(q) = 4*q**2 + 9*q - 9. Let y(o) = -5*o**2 - 10*o + 9. Let t(u) = -4*m(u) - 3*y(u). Let v be t(-7). Factor -2/5*r**v + 0 - 2/5*r.
-2*r*(r + 1)/5
Let r(p) = -2*p**3 + p**2 - p + 25. Let u(f) = 3*f**3 - 2*f**2 - 26. Let o(a) = -4*r(a) - 3*u(a). Let j(y) be the first derivative of o(y). Factor j(w).
-(w - 2)*(3