 0*g. Suppose x(k) = 0. Calculate k.
-1, 1
Suppose -a + o = -1 - 11, -4*o - 56 = -5*a. Let p be 2/8 - 2/a. Determine s, given that -4/7*s**3 + 2/7*s**4 + p*s**2 - 2/7 + 4/7*s = 0.
-1, 1
Let k(c) be the second derivative of 1/42*c**7 + c + 1/15*c**6 - 1/6*c**4 + 0*c**5 - 1/6*c**3 + 0*c**2 + 0. Factor k(m).
m*(m - 1)*(m + 1)**3
Suppose -2*i = -i + 12. Let o(v) = v**2 + 13*v + 12. Let d be o(i). Factor 0*m**2 + 2/5*m - 2/5*m**3 + d.
-2*m*(m - 1)*(m + 1)/5
Factor -1/7*n**3 + 1/7*n + 0*n**2 + 0.
-n*(n - 1)*(n + 1)/7
Let w be (1 - -7)*(-2)/(-8). Factor 2 + 0*i**w + 4*i**2 - 6*i**2.
-2*(i - 1)*(i + 1)
Suppose 0 = c - 5*a - 13, -2*c = -5*a - 12 + 1. Let g be 2/(-5)*(0 + c). Find p such that -g*p**2 + 0 - 2/5*p**3 - 2/5*p = 0.
-1, 0
Let m = 10 - 3. Let -3*r**2 + 11*r + 0 - 8 - 19 + m*r = 0. What is r?
3
Let m(w) be the first derivative of w**6/30 - 3*w**5/20 + w**4/4 - w**3/6 + w**2/2 + 3. Let s(h) be the second derivative of m(h). Let s(b) = 0. Calculate b.
1/4, 1
Let c be 1*2 + 3/3. Suppose -4*a + 6*a = -r + 1, c*r = -2*a + 7. Factor 5*m**2 - 2 + r*m**2 - 6*m + 0*m.
2*(m - 1)*(4*m + 1)
Suppose 2 = -4*r - 4*g - 6, 0 = -4*r + 5*g + 28. Suppose -2*z**3 - 2/3*z**r + 2*z + 2/3 = 0. Calculate z.
-1, -1/3, 1
Let p(n) = -n**3 + 10*n**2 - 12*n + 10. Let u be p(8). Let a be 2/4 + (-9)/u. Factor 0*l - a*l**3 + 4/7*l**2 + 0.
-2*l**2*(l - 2)/7
Solve 14*n - 6*n + 2*n**2 + 2*n**2 + 0*n**2 - 4*n**3 = 0.
-1, 0, 2
Factor -12/5 - 8/5*m + 4/5*m**2.
4*(m - 3)*(m + 1)/5
Let s(j) be the third derivative of -4/3*j**3 + 0*j - j**2 + 0 + 1/6*j**4 + 1/15*j**5. Factor s(m).
4*(m - 1)*(m + 2)
Suppose 0 = -k - 2*k + 6. Let b(h) be the first derivative of 2 + 0*h + k*h**2 - 2/3*h**3. Find s, given that b(s) = 0.
0, 2
Let w be 20/(-5) - (2 - 34). Let -32*u + 20*u**5 - w*u**4 + 12*u**4 + 7*u**4 + 120*u**3 - 83*u**4 - 16*u**2 = 0. Calculate u.
-2/5, 0, 1, 2
Let k be 3*(1 + 1 + -3). Let z = 0 - k. Let 2*j**2 - 5/2*j**z + j**4 + 0 - 1/2*j = 0. What is j?
0, 1/2, 1
Suppose 0 = 3*f - 3, 32 = -0*w + 5*w + 2*f. Let n be 161/196 + w/14. Solve 1/4 + y**2 - n*y = 0.
1/4, 1
Let p(a) be the second derivative of a**8/26880 - a**7/10080 + 2*a**4/3 + 7*a. Let u(b) be the third derivative of p(b). Find f, given that u(f) = 0.
0, 1
Let d(a) be the second derivative of a**5/110 + 3*a**4/22 + 8*a**3/11 + 16*a**2/11 + a. What is l in d(l) = 0?
-4, -1
Factor 2*d**2 + 0 + 2/3*d**4 + 10/3*d**3 - 6*d.
2*d*(d - 1)*(d + 3)**2/3
Suppose -r = -6*r + 15. Let w(k) be the first derivative of -7/6*k**4 - 2 + 8/3*k + 8/3*k**2 - 2/3*k**5 + 2/9*k**r - 1/9*k**6. Suppose w(p) = 0. What is p?
-2, -1, 1
Let o be -2 - -5 - (-39)/(-15). Let 4*p**2 + 2*p + o*p**5 + 2/5 + 2*p**4 + 4*p**3 = 0. What is p?
-1
Let o(g) = -g**3 + 5*g**2 - 3*g - 16. Let f(c) = -1. Let a(v) = -21*f(v) + 3*o(v). Factor a(x).
-3*(x - 3)**2*(x + 1)
Let g(w) be the second derivative of -w**5/4 + 5*w**4/4 - 10*w**2 + 18*w. What is s in g(s) = 0?
-1, 2
Let k(n) be the second derivative of n**7/84 - n**6/15 + n**5/8 - n**4/12 + n. Factor k(z).
z**2*(z - 2)*(z - 1)**2/2
Find f, given that 24/13*f**2 - 10/13*f**3 - 24/13*f**4 - 8/13*f + 18/13*f**5 + 0 = 0.
-1, 0, 2/3, 1
Let i(w) be the third derivative of w**8/840 + 2*w**7/525 + w**6/300 + 3*w**2. Factor i(f).
2*f**3*(f + 1)**2/5
Suppose -6 = 4*j - 7*j. Suppose -2*a + 10 = 3*a. Factor -5*y + 2*y**2 + j + a - y.
2*(y - 2)*(y - 1)
Let y(v) be the first derivative of 2*v**5/85 + 3*v**4/34 + 2*v**3/17 + v**2/17 - 1. Factor y(l).
2*l*(l + 1)**3/17
Factor 1/2*m**3 - 2/3 - 1/2*m + 5/6*m**2 - 1/6*m**4.
-(m - 4)*(m - 1)*(m + 1)**2/6
Let k(n) be the third derivative of n**6/60 - n**5/15 + n**4/12 + 37*n**2. Solve k(a) = 0 for a.
0, 1
Solve 12/5*r**2 - 6/5*r**4 - 3/5*r**5 + 9/5*r**3 - 12/5*r + 0 = 0 for r.
-2, 0, 1
Let v(m) be the second derivative of m**6/720 + m**5/120 + m**4/48 - m**3/3 + m. Let o(t) be the second derivative of v(t). Factor o(l).
(l + 1)**2/2
Let j be (-14)/(-3)*(5 - -1). Suppose 4*l - j = -4*o, 0*l + l + 2*o - 9 = 0. Factor 3*v**4 - v**4 + 0*v**4 - 2*v**2 - v + v**l.
v*(v - 1)*(v + 1)**3
Let m(v) be the first derivative of 0*v + 1/10*v**4 + 0*v**3 + 2/25*v**5 - 2 + 0*v**2. Solve m(h) = 0 for h.
-1, 0
Determine m so that -6*m**2 + m**4 + 2*m**4 + 26*m**3 - 29*m**3 = 0.
-1, 0, 2
Suppose 10 + 2 = 4*s. Factor 7*b**2 - 4*b**2 - b + b**2 - 3*b**s.
-b*(b - 1)*(3*b - 1)
Let y(x) be the first derivative of -3/2*x**2 + 1 - 2*x - 1/3*x**3. Factor y(k).
-(k + 1)*(k + 2)
Suppose 6*l + 3*l + 0*l = 0. Suppose 2*a - 1 = 2*v + a, v + a = 7. Factor l + 1/3*x**v - 1/3*x.
x*(x - 1)/3
Factor 8/5 - 2/5*i**2 + 0*i.
-2*(i - 2)*(i + 2)/5
Suppose 0 = 2*v + 2*z + 4, v - 2*z + z - 8 = 0. Let q(m) be the first derivative of -1/6*m**6 + 0*m**2 + 1/4*m**4 + 0*m - 3 + 0*m**v + 0*m**5. Factor q(u).
-u**3*(u - 1)*(u + 1)
Let q(f) be the first derivative of -f**8/504 + 4*f**7/315 - f**6/30 + 2*f**5/45 - f**4/36 - f**2 - 2. Let x(v) be the second derivative of q(v). Factor x(d).
-2*d*(d - 1)**4/3
Let n(b) be the first derivative of 2/3*b**3 - 2 - 4*b**2 + 8*b. Factor n(s).
2*(s - 2)**2
Let q(x) be the third derivative of x**6/480 + x**5/40 + 3*x**4/32 - 4*x**2. Suppose q(k) = 0. What is k?
-3, 0
Let n(k) = k**4 + 2*k**3 - 3*k**2 + 2. Let q(o) = o**2 - o - 1. Let z(i) = 3*n(i) + 6*q(i). Factor z(x).
3*x*(x - 1)*(x + 1)*(x + 2)
Let u(a) = 3*a**2 - 9*a + 2. Let l be u(3). Determine q so that -8*q - 10/3*q**l - 8/3 = 0.
-2, -2/5
Let n(i) be the third derivative of 0*i**3 - 1/120*i**6 + 8*i**2 - 1/15*i**5 + 0 + 0*i - 1/6*i**4. Let n(t) = 0. Calculate t.
-2, 0
Let f be (1/(-8))/((-4)/(-48)*-3). Let p(b) be the third derivative of -b**2 + 0 + 3/16*b**4 - f*b**3 - 1/80*b**6 + 0*b**5 + 0*b. Factor p(i).
-3*(i - 1)**2*(i + 2)/2
Suppose 34 = -k + 3*k. Factor 18*z**2 - k*z**2 - 2*z + 0*z + 1.
(z - 1)**2
Let u(k) = -7*k**3 - 17*k**2 - 19*k - 21. Let d(t) = t**3 + t**2 - t + 1. Let g(c) = 5*d(c) + u(c). Determine b, given that g(b) = 0.
-2
Suppose f - 6*f = 5, 57 = 4*d - f. What is t in -4 - 22*t - d*t**2 - 7*t**2 - 7*t**2 + 32*t**4 + 14*t**5 + 8*t**3 = 0?
-1, -2/7, 1
Let v = -10 - -13. Let z(c) be the second derivative of 2*c + 3/80*c**5 + 0 - 1/6*c**v - 1/2*c**2 + 5/48*c**4. Factor z(s).
(s - 1)*(s + 2)*(3*s + 2)/4
Let k be 8/6 - 38/(-57). Factor -20/9*z - 50/9*z**k - 2/9.
-2*(5*z + 1)**2/9
Let i(g) be the first derivative of 0*g**2 + 3/7*g - 1/7*g**3 + 6. Determine l so that i(l) = 0.
-1, 1
Factor -l**4 - 11*l**4 + 5 - 3*l**5 - 9*l**3 - 5.
-3*l**3*(l + 1)*(l + 3)
Let d(n) be the third derivative of 3*n**2 + 1/15*n**7 - 2/3*n**3 - 1/6*n**5 + 3/20*n**6 - 3/4*n**4 + 0 + 0*n. Solve d(w) = 0 for w.
-1, -2/7, 1
Suppose -2 + 3/2*a + 1/2*a**2 = 0. Calculate a.
-4, 1
Let b be 3 + (0 - (1 + -2)). Suppose 0*z - 1/2*z**3 + 0 - 1/2*z**5 + z**b + 0*z**2 = 0. What is z?
0, 1
Let d be (5/(-2))/((-1)/2). Suppose g - 1 = 1. Let 46*b**3 - 14*b + 4 + 40*b**d - 38*b**2 + 12*b**g + b + 94*b**4 - b = 0. What is b?
-1, 1/4, 2/5
Suppose 0 = 3*q + 6 - 18. Factor 2*d**2 - 2*d + 4*d**4 - 2*d**3 - 9*d**4 + 3*d**q + 4*d.
-2*d*(d - 1)*(d + 1)**2
Suppose -162/7*i**5 - 232/7*i**2 - 4/7 - 492/7*i**3 - 50/7*i - 468/7*i**4 = 0. What is i?
-1, -1/3, -2/9
Let c(r) = -4*r**2 + 3*r - 9. Let g(j) = -4*j**2 + 4*j - 8. Let d(v) = 2*v**2 - 3*v + 3. Let h be d(2). Let b(m) = h*g(m) - 4*c(m). Factor b(t).
-4*(t - 1)**2
Let k(d) = -9*d**2 + 3*d + 8. Let u(f) be the second derivative of 0 - 1/3*f**3 + 5/12*f**4 - 3*f - 2*f**2. Let o(x) = -6*k(x) - 11*u(x). Solve o(t) = 0 for t.
2
Let f(i) be the third derivative of i**9/5040 + 3*i**8/2240 + i**7/280 + i**6/240 - i**4/12 + 5*i**2. Let t(v) be the second derivative of f(v). Solve t(o) = 0.
-1, 0
Suppose 6*z + 0*z**2 + 5*z - 5*z**2 - 16*z = 0. What is z?
-1, 0
Let n = -11 - -20. Let i be ((-12)/8)/(n/(-12)). Factor 3/2*x**i + 0*x + 0.
3*x**2/2
Let f(j) be the first derivative of 2*j**6/3 + 16*j**5/5 + 4*j**4 + 60. Let f(t) = 0. What is t?
-2, 0
Let h(s) be the third derivative of -s**11/249480 - s**10/226800 + s**9/90720 + s**5/20 - s**2. Let n(v) be the third derivative of h(v). Factor n(f).
-2*f**3*(f + 1)*(2*f - 1)/3
Find s such that 40/7*s - 2/7*s**3 - 4/7*s**2 - 48/7 = 0.
-6, 2
Let b(q) = 6*q - 1. Suppose v = -1 + 2. Let j be b(v). Factor 0*x**2 + 2/7*x**j + 0 + 2/7*x**3 - 4/7*x**4 + 0*x.
2*x**3*(x - 1)**2/7
Let c(m) be the third der