5 - 2 = c. Suppose -o + 5*u = 13, c*o = o + 5*u - 11. Determine p, given that 2 - 3*p + o*p + p**2 - 4 = 0.
-1, 2
Factor 3/2*x - 1 - 1/2*x**3 + 0*x**2.
-(x - 1)**2*(x + 2)/2
Let i(u) be the third derivative of u**7/280 - u**6/120 - u**5/40 + u**4/8 + u**3/2 - u**2. Let a(o) be the first derivative of i(o). What is r in a(r) = 0?
-1, 1
Solve -7*t**3 - 4*t**4 + 11*t**3 + 8 - 4*t**2 + t**3 - 12*t + 7*t**3 = 0 for t.
-1, 1, 2
Let j = -132 + 132. Solve -1/2*b**5 + 1/4*b**2 + 1/2*b**3 + j*b - 1/4*b**4 + 0 = 0 for b.
-1, -1/2, 0, 1
Let j(v) be the first derivative of -11*v**6/39 + 48*v**5/65 - 15*v**4/26 + 4*v**3/39 + 3. Solve j(c) = 0 for c.
0, 2/11, 1
Factor -1/3 + 2/3*a - 1/3*a**2.
-(a - 1)**2/3
Let a(g) be the second derivative of -g**5/80 + 3*g**4/16 - 9*g**3/8 + 27*g**2/8 - 6*g. Find j such that a(j) = 0.
3
Let d(o) = -4*o**4 + 9*o**3 - 12*o**2 + o - 3. Let k(h) = 20*h**4 - 44*h**3 + 60*h**2 - 4*h + 16. Let z(w) = -16*d(w) - 3*k(w). Factor z(u).
4*u*(u - 1)**3
Let p = 2/30337 + 17201071/121348. Determine o, given that -12*o + 114*o**2 - 36*o**3 - 783/4*o**4 - 12 + p*o**5 = 0.
-2/3, -2/7, 2/3, 1
Let u(j) be the second derivative of -j**7/168 - j**6/60 - 6*j. Solve u(n) = 0 for n.
-2, 0
Factor -1/5*l**3 + 2/5*l**2 - 1/5*l + 0.
-l*(l - 1)**2/5
Let v be 2 + (-6)/(-1) + -3. Find t, given that 4 - 9*t**2 - 2*t**3 + 2*t**2 + t**3 + t**v + 3*t**4 = 0.
-2, -1, 1
Let m be 1 + (-2 - -6) + -2. Factor n**m - n**2 + 0 - n + 0 - n.
n*(n - 2)*(n + 1)
Let g(f) be the second derivative of 8*f**6/15 - 3*f**5/5 - 5*f**4/3 + 2*f**3 + 2*f**2 + 12*f. Factor g(l).
4*(l - 1)**2*(l + 1)*(4*l + 1)
Let i(x) be the third derivative of -x**7/280 + x**5/80 - 17*x**2. Suppose i(s) = 0. Calculate s.
-1, 0, 1
Let y be 6*((-1)/2 - -1). Suppose 3*r + 10*c - 15*c - 37 = 0, r = -3*c - 11. Factor 2/9*k**y - 2/9*k**5 + 0*k**r + 0*k + 0 + 0*k**2.
-2*k**3*(k - 1)*(k + 1)/9
Let r be 3 - 6/(-9)*3. Factor 1/2*x**r + 1/2*x**4 + 1/2 + 1/2*x - x**3 - x**2.
(x - 1)**2*(x + 1)**3/2
Factor 0 - 2/5*a**4 + 0*a**3 + 1/5*a**5 + 2/5*a**2 - 1/5*a.
a*(a - 1)**3*(a + 1)/5
Suppose 4*m = g - 1, -3*g + g + m = -9. Let n be 15/g + (-14)/6. Find o, given that -2/3*o - 1/3 + 1/3*o**4 + n*o**3 + 0*o**2 = 0.
-1, 1
Suppose 2*q = -2*q + 60. Suppose -3*l - 20 = 2*l, g = 3*l + q. Determine p, given that -8*p**4 + 7*p - 4*p**g + 5 - 3*p**5 - 4*p**2 + 10*p**2 - 3 = 0.
-1, -2/3, 1
Let m(a) = -a + 2. Let z(s) = -s**2 + 4*s - 2. Let b be z(2). Let d be m(b). Determine g so that -3/5*g**3 + d*g + 0 + 0*g**2 + 3/5*g**4 = 0.
0, 1
Let q(g) = -3*g**3. Let p(l) be the second derivative of -l**6/30 - 3*l**5/20 + l**4/12 - l**3/6 - 10*l. Let v(j) = 3*p(j) - 4*q(j). Factor v(t).
-3*t*(t - 1)**2*(t + 1)
Let l(u) be the first derivative of 0*u**2 + 0*u + 1/5*u**5 + 0*u**3 - 1/2*u**4 + 10. Find w such that l(w) = 0.
0, 2
Let b be 10/24 + 2/6. Let l = 5/4 - b. Factor 0*z - l*z**2 + 1/2.
-(z - 1)*(z + 1)/2
Let x(t) be the third derivative of t**7/1260 - t**6/240 + t**5/120 - t**4/144 + t**2. Factor x(s).
s*(s - 1)**3/6
Let a be (14/210)/((-4)/(-12)). Factor -4/5*x**2 - 1/5*x + a*x**3 + 0 + 4/5*x**4.
x*(x - 1)*(x + 1)*(4*x + 1)/5
Let s(i) be the second derivative of -i**5/300 + i**4/60 - i**2/2 - 4*i. Let w(x) be the first derivative of s(x). Let w(m) = 0. Calculate m.
0, 2
Factor 1/4*q**4 + 1/4*q**2 - 1/2 - 3/4*q + 3/4*q**3.
(q - 1)*(q + 1)**2*(q + 2)/4
Let n(b) be the first derivative of -b**5/8 + 7*b**4/32 + b**3/3 - b**2/4 + 5. Determine u so that n(u) = 0.
-1, 0, 2/5, 2
Let j be (-2)/2 + (-3 - -3). Let v(r) = 5*r**3 + 11*r**2 + 7*r + 1. Let q(k) = k**3 + k**2 - k - 1. Let a(g) = j*v(g) + 2*q(g). Suppose a(m) = 0. What is m?
-1
Let i(p) be the second derivative of -4*p**6/15 - 11*p**5/10 - 5*p**4/6 + 2*p**3/3 + 7*p + 4. Suppose i(z) = 0. What is z?
-2, -1, 0, 1/4
Factor 0 + 5/2*y**2 + 1/2*y**3 + 2*y.
y*(y + 1)*(y + 4)/2
Factor 9*f**2 + 3*f**4 - 173 - 12*f**3 + 173.
3*f**2*(f - 3)*(f - 1)
Let u(h) be the second derivative of -1/80*h**5 + 3/2*h**2 - 1/48*h**4 + 0 + 1/24*h**3 - 2*h. Let d(v) be the first derivative of u(v). Solve d(b) = 0.
-1, 1/3
Suppose 25*m = -3*m + 84. Factor 0 - 1/4*p**2 - 1/4*p**m + 0*p.
-p**2*(p + 1)/4
Let d be (1 - 0) + (-1 - 9/(-3)). Let s(z) be the second derivative of z - 1/54*z**4 + 0 + 0*z**2 + 0*z**d. Suppose s(y) = 0. What is y?
0
Let j(r) be the first derivative of r**7/280 - r**6/120 - r**5/20 + 5*r**3/3 - 4. Let u(v) be the third derivative of j(v). Factor u(b).
3*b*(b - 2)*(b + 1)
Suppose 162/13 + 2/13*k**2 + 36/13*k = 0. What is k?
-9
Let v = 549/2464 + 1/224. Let b(k) be the second derivative of -2/11*k**2 + 0 + 3/11*k**3 - v*k**4 + 3*k - 1/55*k**6 + 1/10*k**5. What is g in b(g) = 0?
2/3, 1
Let p = 15 + -13. Let c(v) be the second derivative of -p*v - 2/75*v**6 + 0*v**2 + 0 - 1/105*v**7 + 0*v**3 - 1/50*v**5 + 0*v**4. Factor c(b).
-2*b**3*(b + 1)**2/5
Let d(a) be the first derivative of a**6/15 - 4*a**5/25 + a**4/10 - 6. Factor d(i).
2*i**3*(i - 1)**2/5
Let a = -197 + 395/2. Let u = 19/44 + -2/11. Factor u + 1/4*o**2 - a*o.
(o - 1)**2/4
Let q(z) = -z**3 + z**2 - z + 2. Let l be q(2). Let d be l/6 + 22/9. Factor -d - 4/3*b**2 - 8/3*b - 2/9*b**3.
-2*(b + 2)**3/9
Let t = 15 - 10. Let z(m) = 2*m**2 - 2*m - 4. Let v(s) = 0 - 7 + 0*s**2 + 3*s**2 - 4*s. Let c(l) = t*z(l) - 3*v(l). Find y such that c(y) = 0.
-1
Factor -1/5 + 2/5*z - 1/5*z**2.
-(z - 1)**2/5
Suppose -4/11*b**3 - 2/11*b**4 + 0 + 0*b - 2/11*b**2 = 0. What is b?
-1, 0
Let x(m) be the third derivative of m**5/20 + m**4/8 - 9*m**2. Find z, given that x(z) = 0.
-1, 0
Let z(a) = 2*a**3 + 10*a**2. Let m(i) = -123*i**2 + 104*i**2 + 2*i - 3*i**3 - i. Let n(t) = -4*m(t) - 7*z(t). Factor n(r).
-2*r*(r - 2)*(r - 1)
Solve -190/11*j**3 - 104/11*j + 228/11*j**2 + 16/11 + 50/11*j**4 = 0 for j.
2/5, 1, 2
Let t(j) be the first derivative of 3*j**3 + 3 + 0*j - 3/2*j**2. Factor t(o).
3*o*(3*o - 1)
Let q(w) be the first derivative of -w**3/18 - 5*w**2/2 - 75*w/2 - 16. Factor q(j).
-(j + 15)**2/6
Suppose b**2 - 4*b**2 + 8*b + 9 - 8*b - 6*b = 0. What is b?
-3, 1
Suppose t = j - 5 + 14, -3*t = -4*j - 31. Let l = t + -5. Find h, given that l - 2/5*h**4 - 2/5*h**3 + 0*h + 0*h**2 = 0.
-1, 0
Let h be 9/54 + 46/12. Let z(d) be the first derivative of 1/4*d**h - 1 - d + 1/3*d**3 - 1/2*d**2. Suppose z(c) = 0. What is c?
-1, 1
Let i(l) be the first derivative of l**4/2 - 3*l**3/2 + 3*l**2/2 - l/2 + 15. Factor i(n).
(n - 1)**2*(4*n - 1)/2
Let h be 42/105*1*1/4. Let i(c) be the second derivative of 1/5*c**2 - 1/30*c**4 + 0 - 2*c - h*c**3. Factor i(b).
-(b + 2)*(2*b - 1)/5
Let p be (0/6)/3*(-2)/(-4). Let o(z) be the second derivative of 1/42*z**7 - 1/10*z**5 - 1/30*z**6 + 1/6*z**4 + 2*z + p + 1/6*z**3 - 1/2*z**2. Factor o(y).
(y - 1)**3*(y + 1)**2
Let u be -15*(1 + (-4)/2). Suppose a + 2*a = u. Let -3*h - 6*h**2 - a*h + 2*h**4 + 4*h**3 + 0*h + 8 = 0. Calculate h.
-2, 1
Factor -6 - 20*v**4 - 12*v**4 - 9*v + 9*v**3 + 6*v**2 + 35*v**4 - 3*v**2.
3*(v - 1)*(v + 1)**2*(v + 2)
Let k(r) be the second derivative of r**4/24 - r**3/4 + 4*r. Find v, given that k(v) = 0.
0, 3
Suppose -3*m + 6 = -0*h - h, -5*h - m = 46. Let z(n) = 8 + 2*n - 14*n + 2*n**2 + 4*n. Let d(u) = -u**2 + 4*u - 4. Let l(r) = h*d(r) - 4*z(r). Factor l(b).
(b - 2)**2
Let s(z) = 4*z**2 + 2*z + 2. Let m(k) = 5*k**2 + k + 2. Suppose 4*h - 3 - 3 = -o, 3*o + 6 = 0. Let q(a) = h*m(a) - 3*s(a). Let q(i) = 0. Calculate i.
-1
Factor -2/7*k + 2/7 - 2/7*k**2 + 2/7*k**3.
2*(k - 1)**2*(k + 1)/7
Suppose -2*j + 5 + 1 = 0. Let w = 1133/4 - 283. Suppose -1/4 + 1/4*b + 1/4*b**2 - w*b**j = 0. What is b?
-1, 1
Let p = 41/132 - 2/33. Factor 1/4*q - 1/4*q**3 - 3/4*q**2 + 1/2 + p*q**4.
(q - 2)*(q - 1)*(q + 1)**2/4
Let u(c) = 6*c**5 - 9*c**3 - 3*c**2 + 9. Let r(y) = y**5 - y**4 - y**3 + y**2 + 1. Let z(w) = 9*r(w) - u(w). Determine o so that z(o) = 0.
-1, 0, 2
Suppose -5*g + 11 = -9. Let n(r) be the first derivative of 1/12*r**g - 5/9*r**3 - 2 - 4/3*r + 4/3*r**2. What is m in n(m) = 0?
1, 2
Suppose -6*m - 3*v = -m - 47, 0 = 4*m + 5*v - 35. Let j = 2 + 4. Factor j*i**2 + 9*i**2 - 19*i + m*i**2 + 4 - i.
(5*i - 2)**2
What is p in 4/7*p**2 - 12/7*p**3 + 0 + 8/7*p + 4/7*p**5 - 4/7*p**4 = 0?
-1, 0, 1, 2
Let y be -4*-2*(-4)/(-8). Factor -q**2 - 1/2*q**5 + 1/2*q**y - 1/2*q + 1/2 + q**3.
-(q - 1)**3*(q + 1)**2/2
Let a = 9 + -7. Factor 4*g**5 -