w.
-q**4
Suppose -178*o = -172*o - 12. Determine k so that 57*k**o + 25/2*k**4 + 4 - 95/2*k**3 - 26*k = 0.
2/5, 1, 2
Let u = 10 + -6. What is b in 3 - b**2 + u - 7 = 0?
0
Let l(m) be the third derivative of -m**6/40 - m**5/10 - m**4/8 + m**2. Factor l(h).
-3*h*(h + 1)**2
Let k(t) be the second derivative of -t**6/840 - t**5/280 - t**3/2 + 6*t. Let f(p) be the second derivative of k(p). Find h such that f(h) = 0.
-1, 0
Let k(x) = 36*x + 363. Let s be k(-10). Factor 1/6*o**s + 0 - 1/2*o**2 + 1/3*o.
o*(o - 2)*(o - 1)/6
Let f(k) be the first derivative of k**4/22 + 2*k**3/11 - k**2/11 - 6*k/11 - 29. Factor f(s).
2*(s - 1)*(s + 1)*(s + 3)/11
Let i(n) = 12*n**5 - 4*n**4 - 2*n**3 + 14*n**2 - 10*n - 10. Let w(r) = r**5 + r**2 - r - 1. Let y(q) = i(q) - 10*w(q). What is z in y(z) = 0?
-1, 0, 1, 2
Let g(q) = q**3 + 8*q**2 + 5*q - 10. Suppose -5*v - 5*z - 40 = 0, -4*z - 39 = 4*v + v. Let d be g(v). Solve -2*s**4 + 4 - 2*s**2 + 3*s**d - 3 = 0.
-1, 1
Factor -1/9*d**2 + 2/3 - 1/9*d.
-(d - 2)*(d + 3)/9
Let x(b) = -25*b + 28. Let h be x(1). What is q in 1/4*q**2 + 0 - 1/4*q**4 + 0*q**h + 0*q = 0?
-1, 0, 1
Let w(h) be the first derivative of h**5/30 + h**4/4 + 2*h**3/3 - 2*h**2 - 5. Let q(g) be the second derivative of w(g). Factor q(j).
2*(j + 1)*(j + 2)
Let r(h) be the second derivative of -h**6/1080 + h**5/120 - h**4/36 - h**3/2 + 3*h. Let q(v) be the second derivative of r(v). Factor q(x).
-(x - 2)*(x - 1)/3
Suppose 3/5*h**4 + 9/5*h - 3*h**2 + 0 + 3/5*h**3 = 0. Calculate h.
-3, 0, 1
Find o, given that -6 + 4*o + 2*o**2 + 11*o - 24*o**2 + 10*o**2 + 3*o**3 = 0.
1, 2
Let v(r) = r - 4. Let y be v(8). Factor y*c - 4*c**2 - 3*c**2 + 3*c**2.
-4*c*(c - 1)
Let w(x) be the third derivative of x**6/120 + x**5/12 + x**4/3 + 2*x**3/3 + 9*x**2. Factor w(u).
(u + 1)*(u + 2)**2
Suppose 4*m + 24 = y, -5*m + 11 = 4*y - 4*m. Let q = 24 + -21. Let 4*x**y - q*x**4 - 3*x**4 = 0. What is x?
0
Let l(d) be the third derivative of d**7/1050 + d**6/120 - d**5/100 - 13*d**4/120 + d**3/3 + 69*d**2. Determine m, given that l(m) = 0.
-5, -2, 1
Suppose 0 = 28*k - 26*k. Solve k*w - 1/5 + 2/5*w**2 + 0*w**3 - 1/5*w**4 = 0 for w.
-1, 1
Suppose 8 + 2 = 5*g. Determine c, given that -2/5*c - 4/5*c**g + 6/5*c**3 + 0 = 0.
-1/3, 0, 1
Let l = 772/7 + -110. Let z = 1235/2198 - -3/314. Determine x, given that z*x + 2/7*x**2 + l = 0.
-1
Let j = 5 + -3. Factor 2*p + j*p - p**2 - p - p - 1.
-(p - 1)**2
Let v(g) be the third derivative of g**6/420 - 4*g**5/105 + 4*g**4/21 - 2*g**2. Factor v(t).
2*t*(t - 4)**2/7
Suppose -5*w - 117 = -4*w. Let f be 2/(-13) - 486/w. Solve 2/5*m**f + 0 - 1/5*m**3 + 0*m + 0*m**2 - 1/5*m**5 = 0 for m.
0, 1
Let k(p) be the first derivative of 0*p**3 + 0*p**2 - 4 - 1/24*p**6 - 1/20*p**5 + 0*p + 0*p**4. Suppose k(c) = 0. What is c?
-1, 0
Let h(v) be the first derivative of -1/3*v**3 - 1/2*v**2 + v - 2. Let b(o) = o**3 + 6*o**2 + 5*o - 5. Let i(s) = -b(s) - 5*h(s). Factor i(g).
-g**2*(g + 1)
Let b = -10589/30 - -353. Let s(g) be the second derivative of 0 - b*g**4 + 2*g + 0*g**2 + 1/150*g**6 - 1/100*g**5 + 0*g**3. Let s(m) = 0. What is m?
-1, 0, 2
Let v(a) = 2*a**3 + 4*a**2 + 4*a + 3. Let l be v(-2). Let c be ((0 - -4) + -6)/l. Factor -2/5*g**5 + 0*g - 2/5*g**2 + c*g**4 + 2/5*g**3 + 0.
-2*g**2*(g - 1)**2*(g + 1)/5
Let h be (-1)/(5/(-25)) + 0. Let j = h - 0. Factor 2/3*g + 0*g**3 + 0 - 2/3*g**j - 4/3*g**2 + 4/3*g**4.
-2*g*(g - 1)**3*(g + 1)/3
Let p(n) = -n**2 + 5*n + 8. Let o be p(5). Let w = -5 + o. Determine l so that -4/13*l + 0 - 8/13*l**w + 10/13*l**2 + 2/13*l**4 = 0.
0, 1, 2
Let p(f) be the third derivative of 25*f**8/336 + 19*f**7/42 + 19*f**6/20 + 13*f**5/15 + f**4/3 - f**2. Factor p(j).
j*(j + 1)*(j + 2)*(5*j + 2)**2
Let x = 24 + -22. Factor -2*l**4 + 5*l**2 + 0*l + l**5 - 3*l**x + l - 2*l**5.
-l*(l - 1)*(l + 1)**3
Let t(p) be the second derivative of 5*p**4/12 + 5*p**3/6 + 8*p. Find f, given that t(f) = 0.
-1, 0
Let i(n) = n + 14. Let g be i(-11). Let d**g - 3*d**4 + 8/3*d**2 + 0 - 4/3*d = 0. What is d?
-1, 0, 2/3
Factor 0 + 1/2*b**2 - 2*b.
b*(b - 4)/2
Let w(c) = 4*c**2 + 4*c + 3. Let a(j) = -5*j**2 - 3*j - 2. Let f(t) = -3*a(t) - 4*w(t). Determine i so that f(i) = 0.
-6, -1
Let d(k) be the first derivative of k**5/30 - k**3/9 - 3*k + 2. Let z(c) be the first derivative of d(c). Factor z(j).
2*j*(j - 1)*(j + 1)/3
Factor -1/3*w**3 + 0*w + 0 - 2/3*w**4 + 2/3*w**2 + 1/3*w**5.
w**2*(w - 2)*(w - 1)*(w + 1)/3
Suppose 0 = -3*u + 2*u. Let 0 + 2*n + u - 8*n**3 - 6*n**2 + 0*n = 0. Calculate n.
-1, 0, 1/4
Let g = 355/2 + -177. Factor -3/2*f**2 + 0 - g*f**3 - f.
-f*(f + 1)*(f + 2)/2
Let o(z) be the second derivative of -z**4/4 - 4*z**3 - 24*z**2 + 8*z. Factor o(q).
-3*(q + 4)**2
Suppose -11 = -3*z + 2*z. Suppose -3*j - z = -4*d, 4*j + 10 = 4*d + 2. Determine v, given that 3*v**j + 3*v**2 + 0*v**3 + 2*v**4 - v**4 + v = 0.
-1, 0
Let r = 305/6 - 5735/114. Let -14/19*p**2 - 4/19*p - 18/19*p**3 - 2/19*p**5 - r*p**4 + 0 = 0. Calculate p.
-2, -1, 0
Let k be (-4)/14 + 0 + 104/168. Suppose -k*a**2 + 2/3 - 1/3*a = 0. Calculate a.
-2, 1
Let w be ((-1)/4)/(4/(-4)). Let o(v) = 11*v - 8. Let g be o(1). Factor 1/4*c**g - 1/4*c + 1/4 - w*c**2.
(c - 1)**2*(c + 1)/4
Let l(d) = 81*d**5 - 107*d**4 + 53*d**3 - 11*d**2 + d - 1. Let b(k) = -k**4 + k**3 - k**2 + 1. Let s(j) = 4*b(j) + 4*l(j). Solve s(i) = 0.
0, 1/3
Suppose 2*o - 4 - 10 = 0. Let g(r) be the third derivative of -1/24*r**4 + 2*r**2 + 0 + 0*r + 1/120*r**5 + 1/84*r**o + 0*r**3 + 1/30*r**6. Factor g(t).
t*(t + 1)**2*(5*t - 2)/2
Suppose -3*q = 2*b + 445, q + 894 = -4*b - q. Let i = 680/3 + b. Factor -40/3*a - i - 50/3*a**2.
-2*(5*a + 2)**2/3
Let x(w) be the second derivative of -w**4/18 + 5*w**3/9 + 2*w**2 - 3*w. Factor x(j).
-2*(j - 6)*(j + 1)/3
Let -3/4*c**4 + 3/4*c**2 - 3/4*c + 3/4*c**3 + 0 = 0. Calculate c.
-1, 0, 1
Let x be 5/45 + (-5 - -5) + 1. Factor 2/9*b**2 - x*b + 8/9.
2*(b - 4)*(b - 1)/9
Let m be (-2)/(-5) + -4*(-2)/(-20). Find z, given that -2/5*z**2 + 0*z + 4/5*z**3 + m - 2/5*z**4 = 0.
0, 1
Let c(z) be the third derivative of 0*z - 2*z**2 + 0 - 1/30*z**5 + 1/4*z**4 - 2/3*z**3. Suppose c(n) = 0. What is n?
1, 2
Let i be (2 - -1)/(12/32). Let o = 8 - i. Find f such that o*f + 2/7*f**2 - 2/7 = 0.
-1, 1
Let v(t) = 6*t**4 + 4*t**3 - 14*t**2 - 12*t + 8. Let l(b) = 4*b**4 + 3*b**3 - 9*b**2 - 8*b + 5. Let y(g) = 8*l(g) - 5*v(g). Factor y(k).
2*k*(k - 1)*(k + 1)*(k + 2)
Let w be (-19)/(-5) + 12/(-15). Let b(y) be the first derivative of 0*y**2 - 2/27*y**3 + w + 2/9*y. Factor b(k).
-2*(k - 1)*(k + 1)/9
Let l(o) be the first derivative of -o**3 - 9*o**2/2 - 6*o + 3. Factor l(a).
-3*(a + 1)*(a + 2)
Let d(i) be the third derivative of 0 + 2/3*i**3 + 0*i**5 + 0*i**4 + 2*i**2 - 1/5040*i**7 + 0*i + 0*i**6. Let t(x) be the first derivative of d(x). Factor t(z).
-z**3/6
Let a(q) be the second derivative of 0 + 0*q**3 + 2/15*q**6 + 0*q**2 + 7*q - 1/12*q**4 - 3/20*q**5. Factor a(j).
j**2*(j - 1)*(4*j + 1)
Let 16/3*y - 8/3 + 2/3*y**3 - 10/3*y**2 = 0. What is y?
1, 2
Let k(c) be the third derivative of c**5/15 + c**4 + 10*c**3/3 - 24*c**2. Determine t, given that k(t) = 0.
-5, -1
Factor 8/15*c**3 + 4/15*c + 0 + 2/3*c**2 + 2/15*c**4.
2*c*(c + 1)**2*(c + 2)/15
Let l be (2/12)/(6/12). Let a(k) be the second derivative of -1/2*k**4 - k + 0*k**2 + 0 + 3/10*k**5 + l*k**3 - 1/15*k**6. Factor a(z).
-2*z*(z - 1)**3
Let d(o) be the second derivative of o**7/8820 - o**6/1260 - o**4/4 - 4*o. Let r(t) be the third derivative of d(t). Determine m so that r(m) = 0.
0, 2
Let z(u) = 5*u**2 + 2*u**2 - 3*u**2 - 3*u**2 - u + u**4 + u**3. Let y(s) = 2*s**5 + 4*s**4 - 8*s**2 - 2*s. Let d(m) = y(m) + 2*z(m). Factor d(f).
2*f*(f - 1)*(f + 1)**2*(f + 2)
Let f(k) be the second derivative of k**5/80 - 7*k**4/48 - k**3/3 + 33*k. Factor f(c).
c*(c - 8)*(c + 1)/4
Let u(o) = o + 1. Let x be u(2). Suppose -2*v + 9 - x = 0. Let 2*m**2 - 5*m**v + 8*m + 2*m**2 - 4 + 3*m**2 = 0. Calculate m.
-1, 2/5, 2
Let z(n) be the third derivative of -n**7/525 - n**6/600 + n**5/300 - 12*n**2. Factor z(w).
-w**2*(w + 1)*(2*w - 1)/5
Let p(r) be the first derivative of r**4/30 + 3*r - 4. Let s(y) be the first derivative of p(y). What is l in s(l) = 0?
0
Let z(o) be the first derivative of 7*o**4/10 + 2*o**3/3 - 2*o**2/5 - 3. Determine d, given that z(d) = 0.
-1, 0, 2/7
Let t be (-155)/(-93)*2/5. Solve 