f u(h). Let s(x) = 0. Calculate x.
-2, -1
Suppose 6 = -o - k, -6*k - 20 = -k. Let n be 6/o*(-3)/6. Factor 3/2*s**4 + 0 + 1/2*s**2 + n*s**3 + 0*s + 1/2*s**5.
s**2*(s + 1)**3/2
Let y(x) = x**4 - x**2 - x - 1. Let j(b) = -16*b**4 - 24*b**3 + 72*b**2 - 28*b + 36. Let a(h) = -j(h) - 20*y(h). Factor a(c).
-4*(c - 2)**2*(c - 1)**2
Factor -4/9*g**5 - 4/3*g**4 - 4/3*g**3 + 0 - 4/9*g**2 + 0*g.
-4*g**2*(g + 1)**3/9
Let a(o) be the third derivative of o**8/252 - 2*o**7/105 + o**6/30 - o**5/45 - 3*o**2. Factor a(x).
4*x**2*(x - 1)**3/3
Let b(o) be the first derivative of -1 + 3/10*o**4 + 0*o + 2/15*o**3 + 0*o**2 - 8/25*o**5. What is k in b(k) = 0?
-1/4, 0, 1
Suppose 0 = -9*j + 4*j + 5. Suppose i - 5 = -s, -j = -4*s + 7. Find k such that -k**3 + k - 14 + 0*k**i + 14 = 0.
-1, 0, 1
Let v(g) be the first derivative of g**7/357 + g**6/255 - g**5/170 - g**4/102 + 4*g + 7. Let j(x) be the first derivative of v(x). Determine y so that j(y) = 0.
-1, 0, 1
Let g be -3*(-5 + (0 - 1)). Suppose 3*t = 4*c + g, 18 = 3*t + 7*c - 2*c. Factor 0*x + 10*x + 3*x**2 + t + 2*x - 3*x.
3*(x + 1)*(x + 2)
Let q(c) be the third derivative of -c**8/294 + 3*c**7/245 + c**6/210 - 3*c**5/70 + c**4/42 - 10*c**2. What is p in q(p) = 0?
-1, 0, 1/4, 1, 2
Factor 238*n + 1158 - 61*n**2 - 1258 - 58*n - n**4 - 18*n**3.
-(n - 1)**2*(n + 10)**2
Let f(z) = -z**3 + 9*z**2 + 21*z - 108. Let l be f(10). Factor 0 + 4/9*s + 2/9*s**l.
2*s*(s + 2)/9
Suppose 4*j + 5*t = 27, -3*j + 2 + 4 = -t. Factor 16 + j*p**2 + 3*p - 16.
3*p*(p + 1)
Let u(y) be the third derivative of 4*y**6/105 + 4*y**5/35 + 3*y**4/28 + y**3/21 - 4*y**2. Suppose u(t) = 0. What is t?
-1, -1/4
Let x(k) = k**3 - k - 1. Let d(m) = -5*m**3 + 5*m + 4. Let l = 14 - 10. Let j(g) = l*x(g) + d(g). Factor j(b).
-b*(b - 1)*(b + 1)
Solve 21*h - h**4 + h**2 - 22*h + 3 - 3 + h**3 = 0 for h.
-1, 0, 1
Let 15*k**2 + 0*k**4 - 16*k**3 - 14 + 16*k - 2 - 3*k**2 + 4*k**4 = 0. What is k?
-1, 1, 2
Let w be ((16/(-20))/(-2))/(-4)*-28. Let p be 2 - (1 - (-2)/2). Suppose 4/5*b - 2*b**2 - w*b**3 + p = 0. Calculate b.
-1, 0, 2/7
Let x(c) be the first derivative of -c**4 - 8*c**3/3 + 14*c**2 - 16*c - 10. Solve x(w) = 0.
-4, 1
Let b(h) be the second derivative of -1/110*h**5 + 0*h**4 + 0*h**2 + 1/165*h**6 + 0 + 0*h**3 - 5*h. Let b(z) = 0. What is z?
0, 1
Let o(h) be the third derivative of -h**8/1344 + h**7/420 - h**5/120 + h**4/96 - 6*h**2. Find w, given that o(w) = 0.
-1, 0, 1
Let i(o) be the first derivative of 1/20*o**5 + 0*o**2 - 1/24*o**6 + 1 - 1/12*o**3 + 0*o + 1/16*o**4. Find n such that i(n) = 0.
-1, 0, 1
Determine v so that 2/13*v - 12/13 + 2/13*v**2 = 0.
-3, 2
Let y be 4/(-18) + (-500)/99. Let l = y + 450/77. Factor 0 + 16/7*n**4 + l*n**2 + 0*n - 2*n**3 - 6/7*n**5.
-2*n**2*(n - 1)**2*(3*n - 2)/7
Let i(z) be the second derivative of 0 + 3*z - 3/10*z**5 + 1/14*z**7 - 3/2*z**2 - 1/10*z**6 + 1/2*z**4 + 1/2*z**3. Factor i(a).
3*(a - 1)**3*(a + 1)**2
Suppose -3/4*r**3 + 0 + 0*r + 3/2*r**2 = 0. Calculate r.
0, 2
Let s(l) = -2*l**2 + l. Let y be s(6). Let i = y + 334/5. Find b, given that -2/5*b**3 + i*b**2 + 0*b + 0 = 0.
0, 2
Factor 0 + 4/3*a**2 - 4/3*a - 1/3*a**3.
-a*(a - 2)**2/3
Let x be (-20)/112*(-12)/890. Let o = 17471/11214 - x. Solve -4/9 + o*z**4 - 38/9*z**3 + 10/3*z**2 - 2/9*z = 0 for z.
-2/7, 1
Let n be (5 - (11 + -4)) + (5 - 1). Solve -1/3*t**4 + 0*t**3 + 0*t + 0 + 0*t**n = 0.
0
Solve 0*y**3 - 3*y**3 - 2*y**4 + 0*y + 4*y + 3*y**4 = 0.
-1, 0, 2
Let p(i) be the first derivative of -4*i**5/5 + 3*i**4 - 4*i**3 + 2*i**2 - 1. Factor p(n).
-4*n*(n - 1)**3
Let t = -3 - -3. Let z(v) be the first derivative of -1/4*v**3 + 1/8*v**2 + t*v - 1/20*v**5 + 3/16*v**4 + 2. Solve z(l) = 0.
0, 1
Let w = 2 + -13. Let q(c) = -6*c**2 - 18*c - 1. Let t(z) = -2*z**2 - 6*z. Let v(g) = w*t(g) + 4*q(g). Factor v(r).
-2*(r + 1)*(r + 2)
Let j(s) be the third derivative of s**7/210 - s**6/120 - s**5/60 + s**4/24 + 27*s**2 + s. Factor j(o).
o*(o - 1)**2*(o + 1)
Suppose 4*h = -2*c, 3*h + 5 + 4 = 0. Suppose 0 = v - 3*v + c. Factor 0 - 1/2*y**v + 0*y + 1/4*y**2 + 1/4*y**4.
y**2*(y - 1)**2/4
Let n be (-3 - -1) + -12 + 18. Determine c so that -2/5*c**n - 18/5*c**2 - 4/5 - 14/5*c - 2*c**3 = 0.
-2, -1
Let k be 1/20*(-136)/(-51). Let t(f) be the third derivative of f**2 - 1/10*f**4 + k*f**3 + 3/100*f**5 + 0 + 0*f. Solve t(v) = 0 for v.
2/3
Suppose -4*p + 3 = i - 16, 0 = -4*i + 5*p - 8. Let t(f) be the second derivative of 0 - f + 0*f**2 + 1/40*f**5 - 1/12*f**4 + 1/12*f**i. Solve t(y) = 0.
0, 1
Let d(w) be the second derivative of -4*w + 0*w**2 + 1/360*w**6 + 0*w**4 + 0 - 1/60*w**5 + 1/3*w**3. Let c(n) be the second derivative of d(n). Factor c(y).
y*(y - 2)
Let c(b) be the second derivative of -b**4/12 + b**3/6 - 3*b. Let k(m) = -m**3 - 4*m**2 + m + 4. Let g(x) = c(x) - k(x). Factor g(s).
(s - 1)*(s + 2)**2
Factor 30/7*h**2 + 0*h + 0 - 3/7*h**3.
-3*h**2*(h - 10)/7
Let o(f) = -f**2 - 12*f + 15. Let g(a) = -a**2 - 1. Let m(r) = g(r) + o(r). Factor m(n).
-2*(n - 1)*(n + 7)
Let y(z) = z**3 - 3*z**2 - z + 2. Let r be y(2). Let g be (r/50)/((-4)/20). Determine v so that 1/5 + 1/5*v**2 - g*v = 0.
1
Let u = 104/35 - 54/35. Determine z, given that 2*z**3 - 4/7*z + u*z**2 + 0 = 0.
-1, 0, 2/7
Let k(g) be the third derivative of -g**5/30 + 5*g**4/12 - 2*g**3 + 8*g**2 - 6. Factor k(n).
-2*(n - 3)*(n - 2)
Factor 1/4 - 1/4*y**2 - 1/8*y**3 + 1/8*y.
-(y - 1)*(y + 1)*(y + 2)/8
Solve -5*r**3 + 2*r - 7*r**2 + 10*r**2 - 5*r**4 - 10 + 12*r**2 + 3*r = 0.
-2, -1, 1
Let m(j) be the first derivative of -1/24*j**4 - 3/40*j**5 - 2 + j**2 + 0*j**3 + 0*j - 7/240*j**6. Let q(w) be the second derivative of m(w). Solve q(t) = 0.
-1, -2/7, 0
Find a such that -3/7*a**2 + 9/7*a - 5/7 - 1/7*a**3 = 0.
-5, 1
Suppose 0 = -14*p + 16*p. Let z(v) be the second derivative of -1/5*v**7 + 0*v**2 - 2/25*v**5 + p*v**4 + 0 + v - 4/15*v**6 + 0*v**3. Factor z(u).
-2*u**3*(3*u + 2)*(7*u + 2)/5
Let r = 87 + -82. Factor 2/3*n**2 - n**4 + 2/3*n**3 - n + 1/3 + 1/3*n**r.
(n - 1)**4*(n + 1)/3
Suppose -u = -4 - 0. Let k(g) be the second derivative of 0 + 1/6*g**3 + 3*g + 1/4*g**2 + 1/24*g**u. Factor k(w).
(w + 1)**2/2
Let d(b) be the first derivative of -1/7*b**6 + 1/14*b**4 + 0*b**2 + 0*b - 4/21*b**3 + 8/35*b**5 + 6. Determine x so that d(x) = 0.
-2/3, 0, 1
Let t(n) = -16*n**3 - 11*n**2 + 12*n. Let u(s) = 43 - 5*s**3 + 4*s - 43 - 4*s**2. Let c = -3 - 8. Let m(o) = c*u(o) + 4*t(o). Find a, given that m(a) = 0.
-2/3, 0, 2/3
Let w(c) = -c**2 + 11*c + 10. Let y be w(9). Let l be (2 + y/(-18))*3. Let -4/3 + a**2 + 1/3*a**4 - l*a + 4/3*a**3 = 0. Calculate a.
-2, -1, 1
Let g = 21 - 29. Let m = g - -8. Determine j so that 0*j - 2/3*j**3 + m - 1/3*j**2 - 1/3*j**4 = 0.
-1, 0
Let d be (2/(-5))/(-2*15/50). Solve -8/3*j**4 - d*j + 2/3*j**3 + 0 + 8/3*j**2 = 0 for j.
-1, 0, 1/4, 1
Let o = 68581/270 + -254. Let z(p) be the third derivative of 0 + 1/27*p**3 + 0*p + 1/54*p**4 - 4*p**2 + o*p**5. Factor z(d).
2*(d + 1)**2/9
Let y be (((-2)/7)/(-1))/(10/28). Solve 0 + 1/5*t**5 + y*t + 6/5*t**4 + 12/5*t**2 + 13/5*t**3 = 0 for t.
-2, -1, 0
Let a(p) = 2*p - 55. Let s be a(29). Factor 0*m + 9/4*m**5 + 15/4*m**s - 21/4*m**4 - 3/4*m**2 + 0.
3*m**2*(m - 1)**2*(3*m - 1)/4
Let b(y) = -3*y**3 + 3*y**2 + 5. Let o(w) = 3*w**3 - 3*w**2 - 4. Let h(i) = -4*b(i) - 5*o(i). Find s such that h(s) = 0.
0, 1
Suppose -2*h + 90 - 18 = f, h - 39 = -2*f. Let j = h - 104/3. Factor 0 - j*z**2 - 1/3*z**3 + 0*z.
-z**2*(z + 1)/3
Let w(i) be the third derivative of -i**5/180 + 2*i**3/9 + 8*i**2. Suppose w(g) = 0. What is g?
-2, 2
Let k be (-6)/(-9)*(-15)/(-2). Suppose -4*q**k + 29*q**3 - 11*q**3 - 14*q**3 = 0. What is q?
-1, 0, 1
Let r(p) be the first derivative of -p**5 - 45*p**4/4 - 40*p**3 - 40*p**2 + 28. Factor r(c).
-5*c*(c + 1)*(c + 4)**2
Let k be ((-12)/4)/(3/(-4)). Let c(l) be the first derivative of 2 + 0*l**3 + 0*l - 1/3*l**2 + 1/6*l**k. Suppose c(n) = 0. Calculate n.
-1, 0, 1
Let l(o) be the first derivative of o**6/12 + 3*o**5/10 + 3*o**4/8 + o**3/6 + 5. Factor l(z).
z**2*(z + 1)**3/2
Let k(s) be the third derivative of s**6/80 - s**5/40 - s**4/8 + 4*s**2. Factor k(l).
3*l*(l - 2)*(l + 1)/2
Let s = 19 - 15. Suppose 2 = s*k - 3*r, -k - 12 = -6*k - r. Factor -1/2*w**5 - 5/2*w**4 - 5/2*w - 5*w**3 - 5*w**k - 1/2.
-(w + 1)**5/2
Let a(u) be the second derivative of 3*u**5/20 - u**4 + 5*u**3