4*n - 5. Factor y(i).
-2*(i - 3)*(i + 2)**2/15
Let w(u) be the second derivative of 8*u + 0 + 4/3*u**3 - 1/5*u**5 + 0*u**2 - 1/3*u**4. Let w(p) = 0. Calculate p.
-2, 0, 1
Let f(j) = -5*j**5 + 9*j**4 - 9*j**3 - j**2 - 3. Let n(k) = k**5 - k**4 + k**3 + k**2 + 1. Let a(w) = f(w) + 3*n(w). Factor a(z).
-2*z**2*(z - 1)**3
Let y be (-1)/1 - (-23 - -19). Let a(p) be the first derivative of 1 + 1/3*p**2 + 0*p - 2/9*p**y. Let a(r) = 0. Calculate r.
0, 1
Let g(k) be the first derivative of k**3 - 3*k**2/2 - 9. Factor g(n).
3*n*(n - 1)
Let o(w) be the second derivative of w**4/54 + 2*w**3/27 + 9*w. What is h in o(h) = 0?
-2, 0
Let j be 7/14*252/(-2). Let f be (-70)/j + (-4)/18. Let -2/9 + f*m - 2/3*m**2 = 0. Calculate m.
1/3, 1
Suppose 5*f - 8 = 3*p + 7, f + 3*p = -15. Let y = f - -2. Suppose 6*k + 0 + 0*k**2 - 4 - 2*k**y = 0. Calculate k.
1, 2
Let b be 89/5 - 2/(-10). Factor 3*i**3 + 8 - b*i**2 - 12 + 36*i - 20.
3*(i - 2)**3
Let i be 20/(-10) - 14/(-3). Suppose 2/3*a + 2*a**5 + 0 + 4/3*a**2 - 4/3*a**4 - i*a**3 = 0. Calculate a.
-1, -1/3, 0, 1
Let n(f) = 0 - 2 + 16*f + 18*f**3 + 2*f**4 - 22*f**3. Let m(r) = 2*r**4 - 4*r**3 + r**2 + 16*r - 1. Let o(d) = 6*m(d) - 7*n(d). Suppose o(j) = 0. Calculate j.
-2, 1, 2
Let u = 4 - 2. Let k be (1/u)/((-2)/(-20)). Solve -f**4 + 2*f**2 - 2*f**3 + 10*f - 4 - 9*f + f**k + 3 = 0 for f.
-1, 1
Let x be (-45)/(-84) - (3 - 4)/(-4). Factor x*w**2 + 6/7*w**4 + 0 + 0*w - 8/7*w**3.
2*w**2*(w - 1)*(3*w - 1)/7
Let b be 3*4*(-4)/(-96). Determine n so that n**4 + 0*n**2 + 0 + b*n**3 + 0*n + 1/2*n**5 = 0.
-1, 0
Let t(g) be the third derivative of -1/84*g**8 - 5*g**2 + 0*g + 0*g**3 - 1/6*g**4 + 0*g**7 + 0 + 1/15*g**6 + 0*g**5. Factor t(k).
-4*k*(k - 1)**2*(k + 1)**2
Let h = 28 + -28. Suppose h - 14 = -7*x. Factor -2/9*n**x + 2/9*n + 4/9.
-2*(n - 2)*(n + 1)/9
Find x such that 4/3*x**4 - 2*x**3 - 1/3*x + 0 + 4/3*x**2 - 1/3*x**5 = 0.
0, 1
Let i(h) be the first derivative of h**3/21 + 3*h**2/7 + 9*h/7 - 9. Solve i(j) = 0 for j.
-3
Let o(b) = -2*b - 6. Let k be o(-5). Suppose 4*m + 6*w = w + 28, -3*w = -4*m - 4. Let -k - q**m + 5 + 0*q**2 = 0. What is q?
-1, 1
Let c(k) be the third derivative of -k**6/300 + k**5/90 - k**4/90 - 7*k**2. Let c(a) = 0. What is a?
0, 2/3, 1
Let q(f) be the second derivative of f**6/45 - f**5/10 - 5*f**4/6 - 17*f**3/9 - 2*f**2 - 22*f. Factor q(n).
2*(n - 6)*(n + 1)**3/3
Let x(t) = -t**3 + 11*t**2 - 18*t. Let w be x(9). Let z(f) be the second derivative of 0 + 3/4*f**5 + f**3 - 2*f + w*f**2 + 7/4*f**4. Let z(j) = 0. Calculate j.
-1, -2/5, 0
Let l = -3 + 8. Let c be (-44)/55*l/(-2). Let -j + 1/2*j**c + 1/2 = 0. What is j?
1
Let v = 2 + -2. Let z be 3 + v + 10/(-8). Factor 0 - 1/2*m**5 - 9/4*m**3 + 5/4*m**2 - 1/4*m + z*m**4.
-m*(m - 1)**3*(2*m - 1)/4
Let b = -9 + 13. Let r be (-370)/(-280) - 8/14. Determine x so that 3/4*x**b + 0 - 3/4*x**3 - r*x**2 + 3/4*x**5 + 0*x = 0.
-1, 0, 1
Let f(a) = -6*a**4 - 36*a**3 - 6*a**2 + 131*a - 83. Let m(z) = -z**4 - 6*z**3 - z**2 + 22*z - 14. Let p(o) = -6*f(o) + 39*m(o). Factor p(v).
-3*(v - 1)**2*(v + 4)**2
Let f(y) = 7*y**2 + 10*y + 3. Let i(a) = 13*a**2 + 19*a + 6. Let h(q) = -7*f(q) + 4*i(q). Solve h(k) = 0 for k.
-1
Let c(b) = 2*b**3 + 2*b**2 - 3*b - 2. Let u be c(-2). Let t = u + 7. Factor 2 + r**3 + 3*r**t - r**4 - r**4 + 3*r - 7*r.
-2*(r - 1)**3*(r + 1)
Let r(i) = i**2 + 12*i - 13. Let n(x) = 12*x - 14. Let s(u) = 3*n(u) - 2*r(u). Factor s(c).
-2*(c - 4)*(c - 2)
Let y(i) = i**3 - 5*i**2 + 5*i - 1. Suppose -5*u = o - 17, -4*u + 0 + 1 = 5*o. Let m be y(u). Let r**3 + 3*r + r**5 - m*r - 2*r**4 = 0. What is r?
0, 1
Let s(f) be the second derivative of f**7/10080 - f**6/1440 + f**5/480 - f**4/3 + f. Let o(j) be the third derivative of s(j). Find i, given that o(i) = 0.
1
Let m(k) be the third derivative of k**8/224 + k**7/140 - k**6/80 - k**5/40 - 20*k**2. Factor m(t).
3*t**2*(t - 1)*(t + 1)**2/2
Let d = 19 - 169/9. Suppose 0*q**3 + 0*q**2 - d*q**4 + 2/9*q**5 + 0*q + 0 = 0. Calculate q.
0, 1
Let d be (6/8)/(660/160). Factor 0*n - 2/11*n**3 + 0 - d*n**2.
-2*n**2*(n + 1)/11
Let r(l) be the third derivative of -l**6/40 - 9*l**5/20 - 15*l**4/8 - 7*l**3/2 - 33*l**2. Let r(p) = 0. What is p?
-7, -1
Suppose -4*c + 22 = -f, -f + 46 = -6*f + 4*c. Let b be ((-2)/4*f)/2. Factor -b - 1/2*w**2 - 2*w.
-(w + 1)*(w + 3)/2
Let d(v) be the third derivative of -1/84*v**7 + 0*v**3 - 1/24*v**4 + 0 + 1/120*v**6 + 1/24*v**5 - 3*v**2 + 0*v. Determine j so that d(j) = 0.
-1, 0, 2/5, 1
Let g(a) be the third derivative of -1/24*a**4 - 3*a**2 - 1/180*a**5 + 0 - 1/9*a**3 + 0*a. Factor g(j).
-(j + 1)*(j + 2)/3
Let w(c) be the third derivative of c**10/60480 + c**9/10080 + c**8/4480 + c**7/5040 + c**4/8 + 3*c**2. Let z(x) be the second derivative of w(x). Factor z(u).
u**2*(u + 1)**3/2
Let i(s) be the second derivative of s**4/4 + 3*s**3/2 - 15*s**2 - s + 2. Factor i(h).
3*(h - 2)*(h + 5)
Let a(l) be the third derivative of -l**6/10 - 2*l**5/3 - 2*l**4/3 - 3*l**3/2 - 7*l**2. Let x(v) be the first derivative of a(v). Factor x(c).
-4*(c + 2)*(9*c + 2)
Let s(b) = 8*b**4 + 23*b**3 + 31*b**2 + 25*b - 9. Let v(t) = 2*t**4 + 6*t**3 + 8*t**2 + 6*t - 2. Let x(a) = 2*s(a) - 9*v(a). Let x(l) = 0. What is l?
-2, -1, 0
Suppose -6*b + b + 10 = 0. Suppose 2*h + 2*c = 12, -b*h + 3 = 4*c - 17. Let -2 - x**2 + 0*x**2 - 4*x - x**h = 0. Calculate x.
-1
Let f be 1/(-4)*(-8)/56*12. Factor f*o**2 + 6/7*o + 3/7.
3*(o + 1)**2/7
Suppose 5*x = -2*a + 2, 0*a - 2 = 3*x + 2*a. Factor -3*y**4 + 2*y**3 + 4*y**4 - 2*y**x + 0*y**3 - y - y**5 + 1.
-(y - 1)**3*(y + 1)**2
Let q(d) be the third derivative of 0*d**3 + 0*d - 1/6*d**4 + 0 + 6*d**2 - 1/6*d**5 + 7/60*d**6. Factor q(j).
2*j*(j - 1)*(7*j + 2)
Let h = -1243835948/2811745377 - 5/1940473. Let v = 1/483 - h. Suppose -2/9 - 4/9*j**3 + 2/9*j**4 + 0*j**2 + v*j = 0. What is j?
-1, 1
Let c(u) = u**2 + 4*u - 10. Let k be c(-6). Find q, given that 2/5*q**k + 0 + 0*q + 1/5*q**3 = 0.
-2, 0
Let g(i) be the second derivative of -i**5/30 - i**4/18 + i**3/9 + i**2/3 - 10*i. Factor g(d).
-2*(d - 1)*(d + 1)**2/3
Let w(r) be the first derivative of r**4 - 6*r**2 + 8*r - 18. Find a, given that w(a) = 0.
-2, 1
Suppose 0 = c + c + n - 9, 3*c - 4*n = -14. Determine r so that -5*r + 10*r + 1 - 2*r**c - 5*r + r**4 = 0.
-1, 1
Suppose -3*t + 660 = 2*t. Determine k so that 124*k**2 - 19 + 176*k**3 - 318*k**2 - 1 + 2 - t*k - 32*k**4 = 0.
-1/4, 3
Let v(w) be the second derivative of -4*w - 1/10*w**6 - 3/2*w**3 + 0 - 2/21*w**7 + 1/12*w**4 + 13/20*w**5 + w**2. What is u in v(u) = 0?
-2, -1, 1/4, 1
Let g(u) be the second derivative of u**5/135 + u**4/36 - 2*u**3/27 - 5*u**2/2 - 2*u. Let q(a) be the first derivative of g(a). What is n in q(n) = 0?
-2, 1/2
Let x be 2 - 2*(-1 + 0). Suppose x*g = 8 - 0. Determine f so that 12*f**2 - 12*f**g - 2*f**3 + 2*f = 0.
-1, 0, 1
Suppose i + 24 = 5*i. Let t = -19 - -27. Factor v**3 + t*v + 5*v**2 + 0 + i - 2.
(v + 1)*(v + 2)**2
Let -24*j**2 + 46*j + 11 - 33 + 4*j**3 + 2*j - 10 = 0. What is j?
2
Let u(i) = -i**2 + i + 1. Let h be (-2)/(2 + 12/(-5)). Let j(w) = 3 + 5*w - 5*w**2 + 2 + w**2. Let n(d) = h*u(d) - j(d). Factor n(f).
-f**2
Let v(n) be the third derivative of n**8/72 + n**7/63 - 23*n**6/180 - 29*n**5/90 - n**4/9 + 4*n**3/9 + 6*n**2. Find c, given that v(c) = 0.
-1, 2/7, 2
Factor 7*c**4 + 4*c**3 - 14*c**2 + 5*c**4 - 19*c + 2*c**2 + 4*c**5 + 11*c.
4*c*(c - 1)*(c + 1)**2*(c + 2)
Let v be (-16)/6 - 2/(-4)*6. Solve v*l**2 + 3 + 2*l = 0.
-3
Determine w, given that 5/2*w**2 + w - 7/2*w**3 + 0 = 0.
-2/7, 0, 1
Let x = 84 - 79. Factor -1/3*o**x + 0 + 0*o**2 + 0*o - 2/3*o**3 - o**4.
-o**3*(o + 1)*(o + 2)/3
Let y = -43/12 + 11/3. Let r(g) be the second derivative of y*g**6 + 0 + 0*g**2 + 1/40*g**5 - 5/24*g**4 + 1/6*g**3 - 1/28*g**7 - 2*g. Find q such that r(q) = 0.
-1, 0, 2/3, 1
Suppose 6 = -16*o + 18*o. Let q(v) be the first derivative of 1/6*v**6 + 1/4*v**4 + 1 + 0*v**2 + 0*v - 2/5*v**5 + 0*v**o. Factor q(i).
i**3*(i - 1)**2
Let j be (21/(-2))/3*-5. Let o = 75/4 - j. Find s such that -o*s + 3/4*s**2 - 1/2 = 0.
-1/3, 2
Let m be (-12)/3*27/12. Let s = -7 - m. Factor -1/5*d**s + 2/5 - 1/5*d.
-(d - 1)*(d + 2)/5
Let y(z) be the second derivative of 3*z**7 + 37*z**6/10 - 147*z**5/20 - 39*z**4/4 + 7*z**3/2 + 3*z**2 + 44*z. Let y(c) = 0. Calculate c.
-1, -1/6, 2/7, 1
Let b(g) be the firs