termine f so that 0*f - 3*f**2 - 2*f + 2*f**2 + f + 2 = 0.
-2, 1
Let o be ((-5)/(-1) - 5)/(-3). Factor 1/4*v**2 + o + 1/4*v.
v*(v + 1)/4
Let b(j) be the third derivative of j**7/735 + j**6/70 + 11*j**5/210 + j**4/14 - 2*j**2. Factor b(y).
2*y*(y + 1)*(y + 2)*(y + 3)/7
Let i(p) be the first derivative of 0*p + 7/6*p**6 - 23/5*p**5 - 2 + p**2 - 13/3*p**3 + 27/4*p**4. Factor i(b).
b*(b - 1)**3*(7*b - 2)
Let b(c) = -2*c**3 + c**2 + 3*c. Let n(f) be the first derivative of -f**4/4 + f**3/3 + f**2 - 5. Let h(y) = 2*b(y) - 3*n(y). Suppose h(r) = 0. What is r?
-1, 0
Let r be 3 + 1 + (4 - 3). Let c(a) be the third derivative of 0 - 4*a**2 + 1/6*a**3 + 0*a + 1/60*a**r - 1/12*a**4. Find l such that c(l) = 0.
1
Let z = 3 - 3. Factor 4*d**2 + z*d + 3*d + 0*d - 1.
(d + 1)*(4*d - 1)
Let y = -7 - -9. Factor -9 + 3 - 36*o**y + 45*o - 3*o**2.
-3*(o - 1)*(13*o - 2)
Let -12/5 - 4*s**2 - 4/5*s**3 - 28/5*s = 0. What is s?
-3, -1
Let y be 14/7 - 2*(0 + -1). Solve 0*k + 0 + 7/4*k**y + 1/2*k**2 - 9/4*k**3 = 0.
0, 2/7, 1
Suppose 2*j = -5*t + 41, 5*t + 6 = 2*j + 15. Determine y so that j*y**2 + 5*y + 4*y**3 + 0*y - y = 0.
-1, 0
Suppose -2*n - 6 = -14. Let r(b) be the first derivative of 0*b - 2 + 2/45*b**5 + 1/6*b**n + 2/9*b**3 + 1/9*b**2. Factor r(k).
2*k*(k + 1)**3/9
Let z(a) be the third derivative of -a**7/210 - 7*a**6/1800 + a**5/150 + a**4/3 + 9*a**2. Let y(p) be the second derivative of z(p). Factor y(i).
-2*(5*i + 2)*(6*i - 1)/5
Factor 8/3 + 1/6*g**2 + 1/6*g**4 + 4*g - g**3.
(g - 4)**2*(g + 1)**2/6
Let j = 15 - 13. Let d be 1*j*(-7)/(-56). Determine k, given that 1/4*k**3 + 3/4*k**4 - d*k + 1/2 - 5/4*k**2 = 0.
-1, 2/3, 1
Let l(p) = p**3 + 16*p**2 + 17*p + 34. Let v be l(-15). Let o(b) be the second derivative of b**3 - 3*b + 1/12*b**v + 9/2*b**2 + 0. Factor o(f).
(f + 3)**2
Let v(z) = -9*z**4 - 17*z**3 - 7*z**2 + 33*z. Let w(p) = p**4 + 2*p**3 + p**2 - 4*p. Let b(q) = 6*v(q) + 51*w(q). Factor b(l).
-3*l*(l - 1)**2*(l + 2)
Let g be 4/(-3) - 78/(-18). Let w be (g + 26/(-9))*6. Find q such that -w*q**4 + 0*q**3 + 0 + 0*q - 2/3*q**5 + 0*q**2 = 0.
-1, 0
Let u(l) be the third derivative of -l**9/90720 + l**7/7560 - l**5/60 + 3*l**2. Let d(w) be the third derivative of u(w). Let d(v) = 0. Calculate v.
-1, 0, 1
Let j(l) be the first derivative of -3*l - 2/9*l**3 - 1/3*l**2 + 2 - 1/18*l**4. Let b(w) be the first derivative of j(w). Factor b(k).
-2*(k + 1)**2/3
Suppose 3*r - 3*i = -12, 0 = -6*i + 2*i - 8. Let c be r/21 - 16/(-7). Suppose 0*u - c*u + 0*u - 2*u - 2*u**2 = 0. What is u?
-2, 0
Suppose -1 + 31 = 3*u. Factor -u*f - 4*f - 12*f**2 + 4 - 6*f**2.
-2*(f + 1)*(9*f - 2)
Let p(l) = l**3 - 9*l**2 - 10*l + 2. Let k be p(10). Let z(c) be the third derivative of 0 + 0*c**3 + c**k + 0*c + 1/12*c**4 + 1/60*c**5. Factor z(u).
u*(u + 2)
Let b(o) be the third derivative of o**6/120 + o**5/15 + o**4/6 + 7*o**2. Factor b(c).
c*(c + 2)**2
Suppose 2/3*b**2 - 1/9*b**5 + 0*b - 11/9*b**3 + 2/3*b**4 + 0 = 0. Calculate b.
0, 1, 2, 3
Let l(z) be the first derivative of -2*z**5/15 - 2*z**4/5 - 2*z**3/5 - 2*z**2/15 + 4. Let l(k) = 0. Calculate k.
-1, -2/5, 0
Let y(i) = -i**2 + 5*i - 4. Let d be y(3). Determine k, given that k**3 - k**3 - 8*k - d*k**3 + 2 + 2*k + 6*k**2 = 0.
1
Let i = -9 - -11. Let a = i - 2. Find z such that 0*z - 1/3*z**3 + a + 0*z**2 = 0.
0
Let d be 2/2*(-17)/(-5). Let i = -3 + d. Factor i*x**4 - 2/5*x**2 + 0*x**3 + 0*x + 0.
2*x**2*(x - 1)*(x + 1)/5
Let g = 2/413 - -407/1239. Factor 1/3 + g*h**2 - 2/3*h.
(h - 1)**2/3
Let p be ((-32)/48)/(18/(-6)). Let -2/9*w - 2/9*w**4 + p*w**3 + 2/3*w**2 - 4/9 = 0. What is w?
-1, 1, 2
Suppose 5*u - 7*v - 13 = -5*v, -4*v = 3*u - 13. What is b in -1/5 - 1/5*b + 2/5*b**u - 1/5*b**5 - 1/5*b**4 + 2/5*b**2 = 0?
-1, 1
Let y(b) be the first derivative of -4*b**3/3 - 4*b**2 - 21. Factor y(s).
-4*s*(s + 2)
Let t(i) = 3*i**2 + 5*i. Let x(c) = -4*c**2 - 6*c. Let b(m) = m - 8. Let a be b(6). Let z = a - -6. Let f(d) = z*x(d) + 5*t(d). Suppose f(q) = 0. Calculate q.
0, 1
Let a(l) be the second derivative of 1/42*l**3 + 0 - 1/84*l**4 + 0*l**2 + 2*l. Find w such that a(w) = 0.
0, 1
Let m(z) = -5*z + 67. Let s be m(13). Factor 27*v**s + 12*v + 4/3.
(9*v + 2)**2/3
Let q(s) be the first derivative of -s**7/630 + s**6/180 - s**5/180 + s**2 - 2. Let o(n) be the second derivative of q(n). Factor o(u).
-u**2*(u - 1)**2/3
Let o(z) be the second derivative of z**5/90 - z**4/6 + z**3 - 3*z**2 - 6*z. Find v, given that o(v) = 0.
3
Let v(p) = 3*p**2 - p. Let x(c) = -c**2 + 4 + 0*c**2 - 4. Let j(z) = v(z) + 4*x(z). Let j(i) = 0. What is i?
-1, 0
Suppose c = -c + 4. Factor -3*y**3 + 3*y**5 + y**c + y**4 + 2*y**2 - y**4 - 3*y**4.
3*y**2*(y - 1)**2*(y + 1)
Suppose 0 = -0*y - 8*y + 16. Let s(u) be the second derivative of -2*u + 4/3*u**y - 4/9*u**3 + 1/18*u**4 + 0. Factor s(a).
2*(a - 2)**2/3
Let f = 26 + -45/2. Let h(t) be the first derivative of -6*t**3 + 1 - 2*t**2 - f*t**4 + 0*t. Factor h(v).
-2*v*(v + 1)*(7*v + 2)
Let p(g) be the third derivative of g**8/224 - g**7/140 - g**6/40 + g**5/20 + g**4/16 - g**3/4 + 3*g**2. Factor p(m).
3*(m - 1)**3*(m + 1)**2/2
Let r be (20/35)/((-88)/(-28)). Solve 0*f + 0 - 2/11*f**2 - 6/11*f**3 - r*f**5 - 6/11*f**4 = 0.
-1, 0
Let l(v) = v**2 + v - 1. Let a(n) = -3*n**2 + 9*n - 7. Let p(g) = -a(g) - l(g). Factor p(o).
2*(o - 4)*(o - 1)
Let n(r) be the second derivative of -r**6/180 + r**5/30 + r**3/3 - r. Let l(a) be the second derivative of n(a). Factor l(m).
-2*m*(m - 2)
Solve -4/7*s + 0 - 4/7*s**2 + 4/7*s**3 + 4/7*s**4 = 0.
-1, 0, 1
Let b(x) = 5*x**5 + 11*x**4 + 7*x**3 + 5*x**2 + 2*x - 2. Let k(h) = 11*h**5 + 23*h**4 + 13*h**3 + 11*h**2 + 5*h - 5. Let c(q) = -5*b(q) + 2*k(q). Factor c(v).
-3*v**2*(v + 1)**3
Let w be (-3 + 20)/(4/12). Suppose -w = -u - 49. Suppose -2/7*z**3 + 0*z**u + 6/7*z - 4/7 = 0. What is z?
-2, 1
Let t = -20/43 - -398/301. Determine i, given that t*i - 2/7*i**3 + 0*i**2 - 4/7 = 0.
-2, 1
Let k(y) be the second derivative of y**6/330 - y**4/44 - y**3/33 + 10*y. Factor k(h).
h*(h - 2)*(h + 1)**2/11
Let c(h) be the third derivative of h**5/480 - h**3/12 + 2*h**2. What is r in c(r) = 0?
-2, 2
Factor -5/2*c**3 - 1/2*c**5 - 2*c**4 - c**2 + 0 + 0*c.
-c**2*(c + 1)**2*(c + 2)/2
Factor 1/2*w**4 + 5/2*w**2 + 0*w + 0 - 3*w**3.
w**2*(w - 5)*(w - 1)/2
Factor -1/6*d**2 + 0*d + 2/3.
-(d - 2)*(d + 2)/6
Let v = -147 + 741/5. Factor 4/5*y - 2*y**2 + v*y**3 + 0.
2*y*(y - 1)*(3*y - 2)/5
Let a(o) be the first derivative of o**8/2352 - o**7/735 + o**5/210 - o**4/168 + 5*o**2/2 + 2. Let y(x) be the second derivative of a(x). Solve y(l) = 0.
-1, 0, 1
Let o(u) be the second derivative of u**4/12 - 4*u. Let i(d) = 3*d**3 + 11*d**2 + 24*d + 12. Let w(m) = i(m) + 4*o(m). Let w(j) = 0. What is j?
-2, -1
Let o = 204 - 1422/7. Let t = 41/21 - 5/3. Suppose -t*x**2 - 4/7 + o*x = 0. What is x?
1, 2
Find s such that -2/13*s**3 - 34/13*s**2 - 126/13*s + 162/13 = 0.
-9, 1
Let u = -28 - -18. Let l = u - -21/2. Factor 0 - l*x + 1/2*x**2.
x*(x - 1)/2
Let t be (-32)/220*(15/10 - 4). Suppose 2/11*j + t - 2/11*j**2 = 0. Calculate j.
-1, 2
Factor 0 - 1/4*t**5 + 0*t**4 + 2*t**2 + 3/4*t + 3/2*t**3.
-t*(t - 3)*(t + 1)**3/4
Let n(l) = l**3 + 6*l**2 - l - 4. Let j be (2 + -9 - 1) + 2. Let u be n(j). Suppose g**2 - g + 3*g - u*g = 0. Calculate g.
0
Let p(d) be the first derivative of d**9/3024 - d**8/560 + d**7/280 - d**6/360 + d**3 - 1. Let b(k) be the third derivative of p(k). Factor b(i).
i**2*(i - 1)**3
Let u(p) be the second derivative of p**5/70 - p**4/42 - p**3/21 + p**2/7 - 20*p. Find x, given that u(x) = 0.
-1, 1
Suppose 0 = -2*m - 0*m + 16. Suppose 5*p + 4 = 4*n - m, 15 = -3*p + 5*n. Factor p*y**3 + y**3 - 3*y**4 + 0*y**3 + 5*y**3.
-3*y**3*(y - 2)
Factor -97 - 64*a**3 + 16*a**2 - 36*a**5 + 84*a**4 + 97.
-4*a**2*(a - 1)*(3*a - 2)**2
Let d be 2/(-12) - -2*(-78)/(-72). Factor 0*w - 1/3 + 1/3*w**d.
(w - 1)*(w + 1)/3
Let o(l) be the first derivative of 1/3*l**3 - 3*l**2 + 9*l + 3. Find y such that o(y) = 0.
3
Suppose -u + 16 = -0*w - 4*w, -12 = -2*u + 3*w. Suppose 3*q = x + 6, u = 4*x - x. Factor 0*t**4 - t - 4*t**2 + 4*t**4 - 3*t + 2*t**5 + q*t.
2*t*(t - 1)*(t + 1)**3
Let 0*v**2 - 1/2*v**4 - 1/6*v**5 + 0*v - 1/3*v**3 + 0 = 0. What is v?
-2, -1, 0
Find h, given that -22 - 177*h**2 - 7*h**2 - 60*h**3 - 10 - 144*h + 0*h = 0.
-2, -2/3, -2/5
Let w(g) = g**5