
2*(k - 1)**4/5
Suppose 26 = -5*o + 6. Let w be 2/(o/(-2)) + -1. Let -2*f**3 - 2*f**2 + 3*f**2 - 2*f + w*f - 5*f**2 = 0. Calculate f.
-1, 0
Let c(r) be the second derivative of -2*r**7/21 + 8*r**6/35 + 4*r**5/35 + 21*r. Let c(n) = 0. What is n?
-2/7, 0, 2
Let 0 + 1/6*k**2 - 1/3*k = 0. What is k?
0, 2
Let 3/4*p**2 + 3/4*p**3 - 6*p - 9 = 0. Calculate p.
-2, 3
Let l(f) be the first derivative of 1 + 1/12*f**4 - 1/18*f**3 + 0*f**2 + 1/90*f**6 + f - 1/20*f**5. Let d(h) be the first derivative of l(h). Factor d(t).
t*(t - 1)**3/3
Let r(q) be the first derivative of 0*q**2 + 2/5*q**5 + 0*q**3 - 8 + 1/2*q**4 + 0*q. Suppose r(d) = 0. Calculate d.
-1, 0
Let a(u) be the third derivative of u**6/200 - u**5/100 - u**4/40 + u**3/10 - 5*u**2. Factor a(r).
3*(r - 1)**2*(r + 1)/5
Let r be 4 + 0 - (1 - -1). Suppose -p - p - a = -2, 4*p = 4*a + 16. Let -2*w - r + 0 + 3*w + 6*w**p - 5*w**2 = 0. Calculate w.
-2, 1
Let f(y) = 15*y**4 + 39*y**3 + 45*y**2 + 33*y + 3. Let r(p) = 7*p**4 + 19*p**3 + 23*p**2 + 17*p + 2. Let o(d) = -4*f(d) + 9*r(d). What is h in o(h) = 0?
-2, -1
Let l be (-572)/154 + (-1 - -5). Factor 0 + 2/7*z - l*z**4 - 6/7*z**2 + 6/7*z**3.
-2*z*(z - 1)**3/7
Factor 1/4*i**3 + 0 + 1/4*i**4 - 1/4*i - 1/4*i**2.
i*(i - 1)*(i + 1)**2/4
Let z = 0 - 0. Let g = -27 + 29. Factor z + 1/3*a**g + 0*a.
a**2/3
Let w be 69/36 + 2/(-12). Suppose -w*k**3 - 1/2 + 3*k**2 - 3/4*k = 0. What is k?
-2/7, 1
Suppose 23 = -2*u + 27. Determine v so that -2/5 - u*v**2 + 9/5*v = 0.
2/5, 1/2
Let i(d) = 13*d**3 + 19*d**2 - 27*d + 9. Let z(h) be the first derivative of 13*h + 5*h**4 - 20*h**2 - 3 + 29/3*h**3. Let p(u) = 7*i(u) - 5*z(u). Factor p(x).
-(x + 2)*(3*x - 1)**2
Let w(d) be the second derivative of -d**6/150 - d**5/50 - d**4/60 - 12*d. What is a in w(a) = 0?
-1, 0
Suppose -k = -3*a + 3*k + 10, k + 5 = 2*a. Let n(c) be the second derivative of 0*c**a + 2*c - 1/9*c**3 - 1/18*c**4 + 0. Factor n(y).
-2*y*(y + 1)/3
Let m be ((40/(-24))/((-5)/6))/8. Determine z so that -7/4*z**3 + 0 + 3/4*z**4 - m*z + 5/4*z**2 = 0.
0, 1/3, 1
Let b = -29062151/1512 - -19221. Let c(f) be the third derivative of 1/945*f**7 + 0*f**6 + 0*f**4 + 0*f**5 + b*f**8 + 0 + 0*f**3 + 3*f**2 + 0*f. Factor c(m).
2*m**4*(m + 1)/9
Let j(d) be the third derivative of -d**7/945 + 7*d**5/270 + d**4/18 + 6*d**2. Solve j(x) = 0.
-2, -1, 0, 3
Let o = 5/31 - -16/93. Factor -1/6*g**3 + 0 - o*g**2 - 1/6*g.
-g*(g + 1)**2/6
Let t(k) = -8*k**3 - k**2 + 7*k + 5. Let l(u) = 9*u - u - 8*u**3 + 7 - 1. Let c(n) = -5*l(n) + 6*t(n). Let c(r) = 0. What is r?
-1, 0, 1/4
Let l(s) = -s + 15. Let g be l(15). Suppose 4*z - 12 = -4*y, -15 = -z - 5*y - g*y. Determine t so that -18/7*t**4 - 8/7*t**2 + 24/7*t**3 + 0 + z*t = 0.
0, 2/3
Factor 9*z**4 - 36*z**5 - 2*z**2 - 10*z**2 + 33*z**5.
-3*z**2*(z - 2)**2*(z + 1)
Let h(r) be the first derivative of -1/10*r**5 + 0*r + 0*r**2 + 1/6*r**6 + 6 + 0*r**3 - 1/8*r**4. Solve h(o) = 0 for o.
-1/2, 0, 1
Let n(c) be the third derivative of 4*c**2 + 1/84*c**4 + 0 + 2/21*c**3 - 1/210*c**5 + 0*c. Factor n(f).
-2*(f - 2)*(f + 1)/7
Let b = -21 - -25. Let i(q) be the first derivative of 1/2*q**b - 2*q**3 + 2 + 0*q**2 + 8*q. Factor i(d).
2*(d - 2)**2*(d + 1)
Let u(z) be the third derivative of -z**5/270 + z**4/54 - z**3/27 + 2*z**2 + 19. Solve u(y) = 0.
1
Let x(j) be the third derivative of j**7/490 - 3*j**6/280 + j**5/140 + 3*j**4/56 - j**3/7 - 5*j**2. Factor x(s).
3*(s - 2)*(s - 1)**2*(s + 1)/7
Let v be ((-20)/12)/((-20)/24). Factor 3*r + 0 + 3/2*r**v.
3*r*(r + 2)/2
Let a(l) be the first derivative of -l**5 - 15*l**4/4 + 10*l**3/3 + 30*l**2 + 40*l - 31. What is s in a(s) = 0?
-2, -1, 2
Let j(y) be the second derivative of -y**4/18 + 4*y**3/9 - 4*y**2/3 - 21*y. Factor j(f).
-2*(f - 2)**2/3
Let i = 2/11 - -12/55. Solve 0*z + i*z**2 - 2/5 = 0 for z.
-1, 1
Suppose -3*a - 114 = -2*i, -2*i = -6*i. Let f = a - -115/3. Factor -1/3*j**3 + f - j + j**2.
-(j - 1)**3/3
Let x = -585 - -587. Factor 0*j + 0 + 3/7*j**x - 9/7*j**3.
-3*j**2*(3*j - 1)/7
Let b(a) be the second derivative of a**4/30 + 4*a**3/15 + 3*a**2/5 + a. Factor b(r).
2*(r + 1)*(r + 3)/5
Let c be 0 + ((-1)/30)/(30/(-180)). Factor 1/5*p + c*p**3 + 0 + 2/5*p**2.
p*(p + 1)**2/5
Let c(u) be the second derivative of -u**10/30240 + u**9/15120 + u**4/12 + u. Let f(d) be the third derivative of c(d). Find m, given that f(m) = 0.
0, 1
Let f be 15/(-6) - (3/1 - 7). Find j such that 15/2*j**2 + 12*j + f*j**3 + 6 = 0.
-2, -1
Suppose 0 = u + 3*o - 0*o + 4, 3*u - 3*o - 12 = 0. Factor 0 + 3*l**2 + l**u - 2*l**4 + 2*l**3 + 0.
-2*l**2*(l - 2)*(l + 1)
Let c(s) = -s + 8. Let j be c(4). Let t(y) be the third derivative of -1/12*y**j + 0 + y**2 + 0*y + 1/30*y**5 - 1/3*y**3 + 1/60*y**6. Factor t(x).
2*(x - 1)*(x + 1)**2
Let z(x) be the third derivative of 0*x + 0 - x**2 - 1/40*x**5 + 0*x**3 + 1/8*x**4. Factor z(o).
-3*o*(o - 2)/2
Let t(k) be the second derivative of 2*k**7/21 - 2*k**6/5 + 2*k**5/5 + 2*k**4/3 - 2*k**3 + 2*k**2 - k - 5. Factor t(w).
4*(w - 1)**4*(w + 1)
Let x(m) = 105*m**4 - 49*m**3 - 48*m**2 - 8*m + 7. Let q(y) = -52*y**4 + 24*y**3 + 24*y**2 + 4*y - 3. Let a(i) = 7*q(i) + 3*x(i). Factor a(o).
-o*(o - 1)*(7*o + 2)**2
Let w(o) be the second derivative of -1/80*o**5 - 6*o + 0 + 1/16*o**4 + 1/24*o**3 - 3/8*o**2. Factor w(u).
-(u - 3)*(u - 1)*(u + 1)/4
Let q be (-9)/189 + 2/6. Determine y, given that 0 - 2/7*y**3 - 2/7*y**2 + 0*y + q*y**5 + 2/7*y**4 = 0.
-1, 0, 1
Let x(b) be the first derivative of -1/8*b**6 - 1/4*b + 1/2*b**3 + 9 + 1/8*b**4 + 1/8*b**2 - 1/4*b**5. Determine y so that x(y) = 0.
-1, 1/3, 1
Let x(j) be the first derivative of j**5 - 5*j**4 - 10*j**3/3 + 30*j**2 + 45*j + 9. What is g in x(g) = 0?
-1, 3
Let v(c) be the first derivative of 20/27*c**3 - 4 + 1/27*c**6 + 2/9*c + 5/9*c**2 + 2/9*c**5 + 5/9*c**4. Find r such that v(r) = 0.
-1
Let y(d) be the third derivative of -d**7/42 + d**6/4 - 3*d**5/4 + 5*d**4/6 + 36*d**2. Suppose y(j) = 0. What is j?
0, 1, 4
Factor -4/7 + 2/7*t**2 + 2/7*t.
2*(t - 1)*(t + 2)/7
Let g = 10 + -1. Factor -g + 56*k**2 - 60*k**2 + 1 + 12*k.
-4*(k - 2)*(k - 1)
Let a(b) be the first derivative of b**3/8 - 21*b**2/8 + 147*b/8 + 28. Solve a(q) = 0.
7
Let q(w) = -w**2 - 12*w - 8. Let d be q(-8). Let z be 4 - 2 - d/14. Factor z*u**2 + 0*u - 2/7.
2*(u - 1)*(u + 1)/7
Let i be (-14)/(-6)*4/14. Suppose -4*x + 0 = -8. Find j such that -2/3 + i*j**3 + 2/3*j**x - 2/3*j = 0.
-1, 1
Let -6*r**2 + 24/5*r + 3/5*r**5 - 9/5*r**3 + 0 + 12/5*r**4 = 0. Calculate r.
-4, -2, 0, 1
Let f(c) = c**5 + c**4 - c**3 - c**2 - 1. Let t(p) = 14*p**5 + 24*p**4 - 14*p**3 - 26*p**2 - 16. Let m(y) = 36*f(y) - 2*t(y). Factor m(v).
4*(v - 1)**3*(v + 1)*(2*v + 1)
Find m, given that 0*m**2 - 2/9 + 2/9*m**4 - 4/9*m**3 + 4/9*m = 0.
-1, 1
Let p = 175 + -166. Let r(s) be the first derivative of -21/4*s**4 + p*s**3 - 3*s**2 + 0*s - 3. Factor r(g).
-3*g*(g - 1)*(7*g - 2)
Factor 13*h - 5*h**4 + h**3 - 4*h**3 - 12*h**3 + 5*h**2 + 2*h.
-5*h*(h - 1)*(h + 1)*(h + 3)
Factor 4/9*z - 2/9*z**2 + 2/3.
-2*(z - 3)*(z + 1)/9
Let m(t) = 3*t + 8. Let g be m(-2). Solve -4/3*l**3 + 2/3*l + 4/3*l**g - 2/3*l**4 - 2/3 + 2/3*l**5 = 0 for l.
-1, 1
Let h(o) be the first derivative of -9 - o + 1/12*o**3 + 0*o**2. Factor h(d).
(d - 2)*(d + 2)/4
Let i(n) be the first derivative of -8*n**3/3 + n**2 - 2. Factor i(m).
-2*m*(4*m - 1)
Suppose -170*l + 175*l - 10 = 0. Factor -v - 1/2 - 1/2*v**l.
-(v + 1)**2/2
Let t(f) = f**3 - 5*f**2 - f + 6. Let c be t(5). Suppose o = -5*g + 15, -o + 0*o = -5*g + 5. Determine p so that -o*p**3 - 3 - 3*p - c - p + 13*p**2 = 0.
-2/5, 1, 2
Let t(k) = k**5 + k**4 + k**3 + k**2. Let p(c) = -2*c**5 + 4*c**4 + 19*c**3 + 7*c**2 - 15*c - 9. Let a(j) = p(j) - t(j). Factor a(l).
-3*(l - 3)*(l - 1)*(l + 1)**3
Let o = 34 - -11. Let k be (-2)/((o/(-4))/5). What is f in -4/9*f + 16/9*f**2 - 2/9 - 4/9*f**3 + k*f**5 - 14/9*f**4 = 0?
-1, -1/4, 1
Factor 0 + 2/11*f**4 + 0*f**2 + 2/11*f**3 + 0*f.
2*f**3*(f + 1)/11
Let x be (0 + 3/(-8))/(30/(-60)). Suppose 9/4*t + 0 - x*t**2 = 0. Calculate t.
0, 3
Let y(u) be the third derivative of -u**9/211680 - u**8/70560 + u**5/60 - u**2. Let q(o) be the third derivative of y(o). Suppose q(f) = 0. What is f?
-1, 0
Let r(g) be the second derivative of g**8/672 - g**7/420 + g**2 - 3*g. Let q(z) be the first derivative of r(z). Factor q(u).
u**4*(u - 1)/2
Let k 