= -v. Suppose -7*l + 4*l + v = 0. Solve 0 - 5/4*p**l - 1/2*p + 7/4*p**3 = 0.
-2/7, 0, 1
Let v(m) = -m**3 - m. Suppose -4*j + 3*j + 22 = 0. Let i(g) = 10*g**3 - 6*g**2 - g - 8. Let o(w) = j*v(w) + 2*i(w). Factor o(p).
-2*(p + 2)**3
Let n(w) be the first derivative of -w**3/9 + 2*w**2/3 - 4*w/3 + 5. Let n(s) = 0. What is s?
2
Let l(x) be the third derivative of 2*x**7/945 - x**5/45 - x**4/27 - 11*x**2. Find g such that l(g) = 0.
-1, 0, 2
Let z(u) be the second derivative of -5*u - 1/40*u**5 + 1/24*u**4 + 0 + 5/12*u**3 + 3/4*u**2. Find p, given that z(p) = 0.
-1, 3
Let o(y) be the first derivative of 3 + 0*y**4 - 1/36*y**6 + 0*y**3 - 1/30*y**5 + 0*y + 0*y**2. Determine u, given that o(u) = 0.
-1, 0
Let i(v) = v**3 + 12*v**2 + 2. Let n be i(-12). Factor -32/9 - 176/9*d**2 - 32/3*d**3 - 128/9*d - n*d**4.
-2*(d + 2)**2*(3*d + 2)**2/9
Let l(r) be the first derivative of r**4/30 - 2*r**3/15 - 3*r**2/5 - 2*r - 3. Let z(j) be the first derivative of l(j). Factor z(n).
2*(n - 3)*(n + 1)/5
Determine v so that -2/9*v**5 + 0*v**3 + 0 + 4/9*v**4 + 0*v**2 + 0*v = 0.
0, 2
Let g = 7 + -4. Determine p, given that -15*p**3 - 2*p**4 + 9*p**3 + 8*p**g = 0.
0, 1
Let x(j) be the second derivative of 0 + 0*j**3 - 2*j + 0*j**4 - 1/45*j**6 + 1/30*j**5 + 0*j**2. Factor x(r).
-2*r**3*(r - 1)/3
Let w(z) be the first derivative of -z**6/900 - z**5/150 - z**4/60 + z**3/3 + 5. Let o(f) be the third derivative of w(f). Factor o(u).
-2*(u + 1)**2/5
Let y(o) = 0*o - 8*o - o + 10*o**2 - 1. Let s(g) = 9*g**2 - 9*g. Suppose 0 = 2*j - 7 - 7. Let n(m) = j*s(m) - 6*y(m). Solve n(q) = 0.
1, 2
Suppose c + 2*o - 8 = -4*c, o - 1 = -c. Let g(n) = -n**2 - 9*n + 3. Let l be g(-9). Factor -5*q - 2*q**c + 4*q + 2*q**3 - l*q**3.
-q*(q + 1)**2
Let f(m) be the second derivative of -3/5*m**4 + 0*m**2 - 4/5*m**3 - 2*m + 27/50*m**5 + 0 + 27/50*m**6. Factor f(l).
3*l*(3*l - 2)*(3*l + 2)**2/5
Let f(i) = 2*i - 3. Let o(j) = 6*j - 8. Let p(z) = 14*f(z) - 5*o(z). Let l be p(-2). Find m, given that 5 - 9 - m**l - 4*m**2 + 8*m - 20*m = 0.
-2, -2/5
Factor -17*f**2 - 5*f**2 + 18*f - 4 + 2*f**2 - 2*f**2 + 8*f**4.
2*(f - 1)*(f + 2)*(2*f - 1)**2
Let q(y) be the second derivative of y**4/12 - 7*y**3/6 - 2*y**2 - y. Let r be q(8). Factor -h**r + 2*h**4 - 3*h**4.
-2*h**4
Suppose u - 4 = -u. Let d be 5/(-6)*4/(-10). Suppose 1/3 - l - d*l**3 + l**u = 0. What is l?
1
Let u = 4065 + -12053/3. Let h = u - 47. Solve 0*z + 0*z**2 + 0 - 1/3*z**3 - h*z**4 = 0 for z.
-1, 0
Let u = 5 - 8. Let o be 0 - (u/15 - 0). Factor 1/5*b**2 + o - 2/5*b.
(b - 1)**2/5
Let p(f) be the first derivative of f**9/25704 + f**8/4760 + f**7/2380 + f**6/3060 - 2*f**3/3 - 4. Let t(b) be the third derivative of p(b). Factor t(q).
2*q**2*(q + 1)**3/17
Factor -1/3*g + 1/3*g**3 + 1/3 - 1/3*g**2.
(g - 1)**2*(g + 1)/3
Factor -2/15*y**5 + 0*y**2 + 0*y - 12/5*y**4 - 54/5*y**3 + 0.
-2*y**3*(y + 9)**2/15
Let s(o) = -6*o + 4. Let n be s(-4). Let w be ((-1)/5)/((-14)/n). Factor 4/5 - 6/5*c + 0*c**2 + w*c**3.
2*(c - 1)**2*(c + 2)/5
Let h = -1303/588 - 5/147. Let f = -23/12 - h. Factor 1/3*i + f*i**2 - 1/3 - 1/3*i**3.
-(i - 1)**2*(i + 1)/3
Suppose -z = 3 - 6. Let k(o) = 2*o**3 + 9*o**2 + 4*o + 1. Let t(x) = -2*x**3 - 8*x**2 - 4*x - 1. Let f(y) = z*k(y) + 4*t(y). Solve f(q) = 0 for q.
-1, -1/2
Let p(b) = -b**3 + 7*b**2 + 30*b + 3. Let k be p(10). Factor 0*l**2 + 0*l - 2/5*l**k + 2/5*l**4 + 0.
2*l**3*(l - 1)/5
Let l(d) be the second derivative of 5*d**7/42 - 5*d**6/6 + 9*d**5/4 - 35*d**4/12 + 5*d**3/3 - 7*d. Factor l(i).
5*i*(i - 2)*(i - 1)**3
Let y(l) be the first derivative of l**3/6 + 3. Suppose y(u) = 0. What is u?
0
Suppose -f = -4*h + 41, 2*h - 5*f = -h + 35. Let a(t) = -t + 13. Let u be a(h). Factor 6*w**2 - 3*w**4 + 0*w - 3 + 3*w + u*w**5 - 6*w**3 + 0*w.
3*(w - 1)**3*(w + 1)**2
Suppose 5*h - 14 = m + 8, -4*h - 86 = 2*m. Let b = m - -75/2. Find n such that 0*n + b*n**2 + 0 = 0.
0
Let b be (-3)/9 + 37/3. Find y such that 8 + b*y**2 - 4*y - 9*y**2 - 5*y - 2 = 0.
1, 2
Let p(s) = 3*s**3 - 17*s**2 + 9*s - 3. Suppose 2*l - 4*l + 6 = 0. Let y(m) = m**3 - 6*m**2 + 3*m - 1. Let d(o) = l*p(o) - 8*y(o). Factor d(g).
(g - 1)**3
Let f be (4/(-6))/((-2)/9). Let k(q) = q**2 + 4*q + 3. Let o be k(-4). Let 2*w**o - 2*w**3 + 3*w**3 - w**f + w**4 = 0. What is w?
-2, 0
Let w(k) = -30*k**2 + 8*k + 13. Let o(v) = 7*v**2 - 2*v - 3. Let f(h) = -26*o(h) - 6*w(h). Determine t, given that f(t) = 0.
0, 2
Solve -2/13*a**2 - 2/13 + 4/13*a = 0 for a.
1
Let d(j) be the third derivative of j**5/54 - j**4/36 - 2*j**3/27 + 3*j**2. What is z in d(z) = 0?
-2/5, 1
Let h = 12 + -7. Let b(x) = -39*x**2 + 39*x + 18. Let r(c) = 11*c**2 - 11*c - 5. Let f(t) = h*b(t) + 18*r(t). Suppose f(m) = 0. Calculate m.
0, 1
Let n be (-5)/5*4 + 5. Suppose 2*f = n + 3. Solve -63/5*p**3 - 66/5*p**f - 4/5*p + 8/5 = 0.
-2/3, 2/7
Let s(h) be the second derivative of 2*h**5/25 + h**4/15 - 4*h**3/15 - 2*h**2/5 + 4*h. Factor s(c).
4*(c - 1)*(c + 1)*(2*c + 1)/5
Let g = -2/73 - -145/2628. Let l(t) be the third derivative of g*t**4 - 1/630*t**7 + 0*t + 0 + 1/18*t**3 + 0*t**5 - 1/180*t**6 + 2*t**2. Factor l(u).
-(u - 1)*(u + 1)**3/3
Factor -11/2*x + 13/2*x**2 - 1.
(x - 1)*(13*x + 2)/2
Factor 3*m**2 + 9 - 34*m + 14*m + 15 + m**2.
4*(m - 3)*(m - 2)
Let d(o) = -2*o**4 + 6*o**3 - 6*o**2 - 2*o - 2. Let g = -6 + 4. Let x(c) = c**4 - 5*c**3 + 7*c**2 + 3*c + 3. Let z(j) = g*x(j) - 3*d(j). Factor z(s).
4*s**2*(s - 1)**2
Determine z, given that 26 + 280 - 480*z - 32*z**3 + 144 + 188*z**2 + 2*z**4 = 0.
3, 5
Let h(j) = 21*j**2 - 9*j. Let l(z) = -4*z**2 + 2*z. Let s(a) = 2*h(a) + 11*l(a). Factor s(f).
-2*f*(f - 2)
Let u(m) = -1. Let q(d) = 1. Let h(k) = k**2 - 2*k + 5. Let o(i) = -2*h(i) - 2*q(i). Let t be 2/(-1)*5*1. Let f(r) = t*u(r) + o(r). Factor f(z).
-2*(z - 1)**2
Let f be (-90)/(-8)*(-80)/(-30). Let l = f - 26. Solve 0*p**3 + 2/7*p**l + 0 + 0*p + 2/7*p**5 + 0*p**2 = 0.
-1, 0
Let m(x) be the first derivative of 3 + 0*x + 2/9*x**3 - 1/12*x**4 - 1/6*x**2. Find c, given that m(c) = 0.
0, 1
Suppose 40*c - 6 = 38*c. Factor 0 - 2/3*f + 2/3*f**2 - 2/3*f**4 + 2/3*f**c.
-2*f*(f - 1)**2*(f + 1)/3
Let k(b) be the first derivative of b**6/30 + 2*b**5/25 - 2*b**3/15 - b**2/10 + 5. Determine x, given that k(x) = 0.
-1, 0, 1
Suppose 0 = -4*x + 13 - 5. Let g(d) = -d**3 + 9*d**2 + 9*d + 14. Let r be g(10). Factor -r*a**4 + 2 + 0*a + 4*a**3 - 4*a + x*a**4.
-2*(a - 1)**3*(a + 1)
Let a(p) be the third derivative of 0*p**3 + 1/84*p**4 + 1/1176*p**8 + 0 + 0*p + 0*p**7 + 0*p**5 - 2*p**2 - 1/210*p**6. Factor a(q).
2*q*(q - 1)**2*(q + 1)**2/7
Let u(k) = -k**3 + 1. Suppose 5*r - v = 26, v = 5*v - 16. Let l(c) = -4*c**3 - 6*c**2 + 14. Let y(t) = r*u(t) - l(t). Let y(x) = 0. What is x?
-1, 2
Suppose -5*j + 13 = 4*r, 17 = j + 2*r - 6*r. What is p in -2/3*p**4 + 0*p**3 + 1/3*p - 1/3*p**j + 2/3*p**2 + 0 = 0?
-1, 0, 1
Find w such that 40/7*w + 0 + 128/7*w**2 + 74/7*w**3 + 10/7*w**4 = 0.
-5, -2, -2/5, 0
Factor -4/3*v - 10/9 - 2/9*v**2.
-2*(v + 1)*(v + 5)/9
Let 2/5*m**2 - 6/5*m + 0 = 0. What is m?
0, 3
Let h = -2 - -4. Let k(o) be the first derivative of -3/4*o**h + 1/6*o**3 + o - 2. Factor k(a).
(a - 2)*(a - 1)/2
Let b(f) be the first derivative of -f**3/4 - 3*f**2/2 + 32. Factor b(u).
-3*u*(u + 4)/4
Let h(l) = -l - 10. Let r be h(-14). Determine b so that 0*b + 0 + 1/3*b**r + 2/3*b**3 - 2/3*b**5 - 1/3*b**2 = 0.
-1, 0, 1/2, 1
Factor 0*m + 0 - 2/9*m**4 + 4/9*m**2 + 2/9*m**3.
-2*m**2*(m - 2)*(m + 1)/9
Factor 15/4 - 3/4*u**2 + 3*u.
-3*(u - 5)*(u + 1)/4
Let q(f) = -f**2 + 23*f. Let y be q(23). Factor -2/5*c - 4/5*c**3 + 1/5*c**4 + y + c**2.
c*(c - 2)*(c - 1)**2/5
Factor 9/4*a**3 + 0 + 0*a + 3*a**2 - 3/4*a**4.
-3*a**2*(a - 4)*(a + 1)/4
Suppose 0*c**2 + 1/2*c**4 + 0*c - 1/4*c**3 + 0 - 1/4*c**5 = 0. What is c?
0, 1
Let k = 1 + -1. Let n(v) be the first derivative of -3 + k*v**2 + 0*v**3 - 1/24*v**6 + 0*v**5 + 1/16*v**4 + 0*v. Find d such that n(d) = 0.
-1, 0, 1
Suppose -5*o - 6 + 1 = 0. Let i be (8/20)/(-2)*o. Factor -1/5*d**2 + 0 + 1/5*d**4 + 1/5*d**3 - i*d**5 + 0*d.
-d**2*(d - 1)**2*(d + 1)/5
Let g(f) be the second derivative of 3*f**5/4 + f**4/2 - 5*f**3/2 + 2*f. Let c(w) = w**3 - w + 1. Let q(x) = 6*c(x) - g(x). Suppose q(y) = 0. Calculate y.
-1, -2/3, 1
Let b(w) be the third derivative of -w**5/180 - 5*w**4/72 - w**3/3 - w**2. Suppose b(d) = 0. Calculate d.
-3