 0.
4/9
Let a = 179/82 + -69/41. Let 0 - a*s - 1/8*s**2 = 0. Calculate s.
-4, 0
Factor -3/7*t**2 - 6 - 45/7*t.
-3*(t + 1)*(t + 14)/7
Let q(h) be the third derivative of -3*h**5/4 - 35*h**4/6 - 50*h**3/3 + 8*h**2. Let q(n) = 0. What is n?
-2, -10/9
Let y(o) be the first derivative of 2*o**3/3 + 2*o**2 + 127. Determine l, given that y(l) = 0.
-2, 0
Let 84*a - 7938 - 2/9*a**2 = 0. What is a?
189
Let h(q) be the second derivative of -q**8/6720 - q**7/630 - q**6/180 - q**4 - 5*q. Let v(s) be the third derivative of h(s). Let v(d) = 0. What is d?
-2, 0
Let d = 28 + -26. Suppose -3*s**3 - 3*s**4 + d*s**2 + 1 + s**3 - s**5 + 3*s + 0*s**3 + 0*s = 0. What is s?
-1, 1
Factor -37/3*m + 40 - 1/3*m**2.
-(m - 3)*(m + 40)/3
Let r = 4649/2 + -2314. Factor -3/2*q**3 + 27/2 - 45/2*q + r*q**2.
-3*(q - 3)**2*(q - 1)/2
Let m be (-6 - -16 - 20) + (-150)/(-14). Factor -1/7*w**3 - 1/7*w**2 - 3/7 + m*w.
-(w - 1)**2*(w + 3)/7
Suppose -3*u**3 + 13 - 39*u**4 - 12*u - 72 + 15*u**5 + 28 + 19 + 51*u**2 = 0. What is u?
-1, -2/5, 1, 2
Let s(r) be the third derivative of -r**9/34020 + r**7/2835 - r**5/270 - 3*r**4/8 + 6*r**2. Let w(g) be the second derivative of s(g). Factor w(i).
-4*(i - 1)**2*(i + 1)**2/9
Suppose 5*a + a = -216. Let f be ((-2)/a)/((39/12)/13). Find p, given that -2/9*p**2 + 0 - f*p = 0.
-1, 0
Suppose -g = 3*g - 368. Let q = g - 89. Let 0 - 1/2*k**q - 2*k - 2*k**2 = 0. What is k?
-2, 0
Determine p so that -1/12*p**4 + 55/4*p**2 + 0 - 83/12*p - 27/4*p**3 = 0.
-83, 0, 1
Let t = -87 - -87. Let j(x) be the third derivative of -3*x**2 + 0 + x**3 + 0*x - 1/40*x**5 + t*x**4. Factor j(v).
-3*(v - 2)*(v + 2)/2
Let o(p) = -p**2 + 4*p + 4. Let a be o(4). Let q(x) be the first derivative of 0*x + 2/3*x**3 + a + 0*x**2 + 1/4*x**4. Let q(l) = 0. What is l?
-2, 0
Find n such that 2/5*n**2 + 2/5 + 4/5*n = 0.
-1
Suppose -14*w - 22 = -106. Let d be (-2)/w*108/(-42). Solve -d*b**3 + 3/7*b**4 + 0*b + 0 + 3/7*b**2 = 0.
0, 1
Let o(k) be the first derivative of 0*k**2 + 3*k**4 - 4/5*k**5 - 13 + 0*k + 0*k**3. Factor o(h).
-4*h**3*(h - 3)
Let j(a) = 10*a**3 + a**2 - 1. Let i = -6 - -7. Let l be j(i). Determine q, given that -2*q**5 - 2*q - 2*q + 12*q**2 - 2*q**4 + 3*q**3 - l*q**2 + 3*q**3 = 0.
-2, -1, 0, 1
Let u be (-15)/165*(-22)/(-12)*-2. What is c in -1/3*c**5 - 2/3*c**4 - u*c**3 + 0*c + 0*c**2 + 0 = 0?
-1, 0
Let t(s) be the first derivative of -5*s**6/6 - 25*s**5/6 + 185*s**4/8 - 305*s**3/18 - 55*s**2/4 + 35*s/3 + 71. Suppose t(o) = 0. What is o?
-7, -1/2, 1/3, 1, 2
Let c be (-6)/((1875/(-10))/25). Determine l so that -c*l + 3/5 + 1/5*l**2 = 0.
1, 3
Factor -2/7*s**2 + 0 + 22/7*s.
-2*s*(s - 11)/7
Determine u so that -3*u**3 - 62*u + 788 - 43*u + 42*u**2 - 722 = 0.
1, 2, 11
Let s = -11 - -20. Let n be ((-12)/4 + s)*(-1)/(-4). Factor -1/2*w**2 - 1 + n*w.
-(w - 2)*(w - 1)/2
Let k(v) = -v**3 - 6*v**2 + 17*v - 16. Let z(n) = n**2 + n + 1. Let m(l) = k(l) + 2*z(l). Factor m(h).
-(h - 2)*(h - 1)*(h + 7)
Let a(p) = 7*p**2 - 1. Let h be a(1). Let t = 1 + 3. Factor 2*f - 3*f**t - f**4 - h*f**3 + 3*f - 3*f.
-2*f*(f + 1)**2*(2*f - 1)
Let k(b) = 3*b. Let t be k(2). Suppose -4*x + 2*r = -t, 2*r = -0*x + 5*x - 6. Solve x + 1/2*q + 1/2*q**2 = 0 for q.
-1, 0
Let i(y) = 5*y - 22. Let m be i(6). Let w be (-18)/m*2/(-6)*4. What is j in -2 - 15/2*j**2 + 8*j - j**w + 5/2*j**4 = 0?
-2, 2/5, 1
Let h = 320 + -316. Let y(u) be the third derivative of 1/2*u**3 - 15/16*u**h - u**2 + 0 - 11/80*u**6 + 0*u + 3/5*u**5. Solve y(a) = 0.
2/11, 1
Let k(x) be the second derivative of -x**5/60 - x**4 - 24*x**3 - 20*x**2 + 25*x. Let z(w) be the first derivative of k(w). Let z(f) = 0. Calculate f.
-12
Let y = -8 - -11. Suppose -38 = -y*f - 8. Find x, given that -4*x**4 + f*x**2 + 24*x**4 + 5*x**5 + 3*x**3 + 22*x**3 = 0.
-2, -1, 0
Let w(i) be the third derivative of -i**5/90 - 11*i**4/9 + 137*i**2. Factor w(r).
-2*r*(r + 44)/3
Let b(p) be the second derivative of 3/4*p**4 - 7/20*p**5 + 15*p - 1/3*p**3 + 0*p**2 + 0. Solve b(x) = 0 for x.
0, 2/7, 1
Let i(y) be the third derivative of 4/27*y**3 + 2/27*y**4 - 15*y**2 + 0 + 0*y - 1/54*y**5. Find f such that i(f) = 0.
-2/5, 2
Let p(v) = -v**2 + 41*v - 404. Let x be p(17). Let b(l) be the second derivative of 2/9*l**3 + 2/3*l**2 + 1/36*l**x + 0 - 4*l. Factor b(f).
(f + 2)**2/3
Let x(u) = -12*u**4 + 8*u**3 - 4*u. Let r(p) = p**5 + p**4 - p**3 + p. Let n be 3/18*-4*-2*3. Let q(s) = n*r(s) + x(s). Solve q(d) = 0 for d.
0, 1
Factor 0*z + 0 - 16/9*z**2 + 4/9*z**4 - 8/9*z**3 + 2/9*z**5.
2*z**2*(z - 2)*(z + 2)**2/9
Let c(n) be the third derivative of -n**5/90 + 115*n**4/18 - 13225*n**3/9 + 3*n**2 + 58*n. Factor c(i).
-2*(i - 115)**2/3
Let d = -389 + 393. Let u(z) be the first derivative of 0*z**3 - 1/4*z**d - 3 + 3/2*z**2 - 2*z. Let u(q) = 0. What is q?
-2, 1
Suppose 2*a = -4*a + 12. Find m, given that -16*m**a + 17*m**3 - 8*m + m**4 - 27*m**3 - 3*m**4 = 0.
-2, -1, 0
Let u(q) be the first derivative of -q**6/3 + 12*q**5/5 + 5*q**4 - 32*q**3/3 - 33*q**2 - 28*q - 126. Factor u(n).
-2*(n - 7)*(n - 2)*(n + 1)**3
Let g(p) be the third derivative of 2*p**7/525 + 3*p**6/40 + 107*p**5/300 + p**4/5 - 465*p**2. Solve g(c) = 0.
-8, -3, -1/4, 0
Let x(m) = 6*m**2 + m + 1. Let z(c) = -11*c**2 + 58*c + 114. Let y(g) = -4*x(g) - 2*z(g). Let y(f) = 0. What is f?
-58, -2
Let d(t) be the first derivative of -2*t**3/15 + 7*t**2 + 302. Let d(c) = 0. What is c?
0, 35
Let n(g) be the second derivative of 38/45*g**6 + 0 - 8/21*g**7 + 5*g + 0*g**2 - 4/9*g**4 + 4/5*g**5 + 0*g**3. Determine u, given that n(u) = 0.
-2/3, 0, 1/4, 2
Let j(n) = -n**4 - n**3 + n. Let z(l) = -20*l**5 - 155*l**4 + 200*l**3 + 125*l**2 - 100*l - 45. Let b(k) = 5*j(k) + z(k). Solve b(u) = 0.
-9, -1/2, 1
Let g(s) = -s**2 + 2*s + 14. Let z be g(-5). Let t be (-68)/z + ((-8)/(-12))/(-1). Factor -2/7 + 12/7*c**2 - t*c**5 - 6*c**4 + 6/7*c - 20/7*c**3.
-2*(c + 1)**3*(3*c - 1)**2/7
Let -20/13*k**2 - 40/13*k + 2/13*k**4 + 48/13 + 10/13*k**3 = 0. Calculate k.
-6, -2, 1, 2
Let r = 1/1349 + 1347/2698. Suppose -r*x**4 - 6 - 4*x**3 - 14*x - 23/2*x**2 = 0. What is x?
-3, -2, -1
Let c be 8/36 + 460/36. Suppose 2*w = -b + 9, -5*w + 4*b = -c - 3. Suppose 1/6*z**w + 0 + 0*z**2 + 2/3*z**3 + 0*z = 0. What is z?
-4, 0
Suppose 14*q = 693 - 693. Let f(s) be the third derivative of 4*s**2 - 1/60*s**5 - 1/12*s**4 + q*s + 0 + 0*s**3. Find g such that f(g) = 0.
-2, 0
Let n(u) be the first derivative of -52/21*u**3 + 8/7*u + 7 + 22/7*u**2. Suppose n(y) = 0. What is y?
-2/13, 1
Factor 96/11*n**3 + 36/11*n**4 + 2/11*n**5 + 0 + 92/11*n**2 + 30/11*n.
2*n*(n + 1)**3*(n + 15)/11
Suppose 7*h = h - 540. Let u = h - -272/3. What is i in 1/6 - 2/3*i**3 + u*i + 1/3*i**2 - 1/2*i**4 = 0?
-1, -1/3, 1
Find y such that 0 + 12/5*y**4 - 9/5*y**5 + 3/5*y**3 - 6/5*y**2 + 0*y = 0.
-2/3, 0, 1
Let p(o) = -o + 27. Let r be p(0). Determine m, given that 9*m**3 + 2 - 5*m**2 + r*m - 32*m - m**2 = 0.
-2/3, 1/3, 1
Factor 1/3*v**2 + 0 + v.
v*(v + 3)/3
Let f(k) = 23*k**2 - 3*k + 3. Let x be f(1). Factor x*v**2 - 12*v**2 + v**3 - 4*v - 14*v**2.
v*(v - 4)*(v + 1)
Let i be (136/12)/17 - 15/(-18). Factor -1/2*b**4 + i*b + 0 + 5/2*b**2 + 1/2*b**3.
-b*(b - 3)*(b + 1)**2/2
Let r be (-3)/((-32)/(-48) - (-2)/(-2)). Suppose -4*l - 12 = -4*k, 5*k + 3*l + 9 = r*k. Factor k + 0*f - 3/7*f**2 - 6/7*f**3.
-3*f**2*(2*f + 1)/7
Suppose -2/7*d**3 + 40/7*d - 48/7 - 4/7*d**2 = 0. What is d?
-6, 2
Suppose -29*v + 0*v = -29. Let r be v*-2 + 2135/244. Find d such that -9*d + 33/4*d**2 - 3/2*d**3 - r = 0.
-1/2, 3
Let g(i) be the second derivative of i**4/12 - 5*i**3/6 - 25*i**2 + 22*i - 3. Determine j, given that g(j) = 0.
-5, 10
Let g(y) be the third derivative of y**9/1260 - y**8/420 + y**7/630 - 2*y**4/3 + 8*y**2. Let d(l) be the second derivative of g(l). Factor d(m).
4*m**2*(m - 1)*(3*m - 1)
Suppose -15*m + 2 = -3*t - 13*m, 0 = -3*t - 5*m + 26. Factor 16/3 - 8/3*l + 1/3*l**t.
(l - 4)**2/3
Let j(p) be the first derivative of -p**5/5 - p**4/4 + 3*p**3/2 - p**2 + 12*p - 17. Let a(z) be the first derivative of j(z). Find u, given that a(u) = 0.
-2, 1/4, 1
Let p be (-8)/(-1 - (-12)/20). Let x = 20 - p. Find d such that x*d + 6/7*d**3 + 0*d**2 + 0 - 2/7*d**5 - 4/7*d**4 = 0.
-3, 0, 1
Let g(k) be the second derivative of k**4/30 - 7*k**3/15 - 18*k**2/5 - 79*k. Suppose g(i) = 0. Calculate i.
-2, 9
Let -4272*h**3 + 640*h 