that o + o**5 - 5*o**2 - 5*o - 3*o**3 - 2*o**c + 3*o**4 + 2*o = 0.
-1, 0, 2
Let w be -1*3/6*0. Let z(i) be the second derivative of 3*i + 1/35*i**5 + w*i**4 + 0 - 2/21*i**3 + 1/105*i**6 - 1/7*i**2. Factor z(g).
2*(g - 1)*(g + 1)**3/7
Let w = -868/33 + 18/11. Let t = w + 25. Find v such that t*v**2 + 0 + 2/3*v = 0.
-2, 0
Suppose 9 + 7 = 4*w. Let 2*m**w + 1 - 8*m - 1 + 6*m**3 = 0. Calculate m.
-2, 0, 1
Suppose -22 = -3*c - 16. Let b(i) be the second derivative of 1/40*i**5 + 0 + 0*i**c + 0*i**4 + i - 1/12*i**3. Factor b(w).
w*(w - 1)*(w + 1)/2
Factor 0 - 1/5*u**3 + 4/5*u**2 - 4/5*u.
-u*(u - 2)**2/5
Let r(g) be the first derivative of -1/600*g**5 + 1/450*g**6 + 2/3*g**3 + 0*g**4 + 0*g + 1 + 0*g**2. Let y(s) be the third derivative of r(s). Factor y(x).
x*(4*x - 1)/5
Let d(w) = -6*w**3 + 15*w**2 - 7*w - 7. Let u(t) = -6*t**3 + 14*t**2 - 8*t - 6. Let n(j) = 6*d(j) - 5*u(j). Solve n(o) = 0 for o.
-2/3, 1, 3
Suppose 0 = -2*w + 4*w + 6. Let h(c) = -c**3 + 4*c**2 + c - 4. Let k(x) = -x**3 + 5*x**2 + x - 5. Let a(n) = w*h(n) + 2*k(n). Let a(g) = 0. Calculate g.
-1, 1, 2
Let s(j) be the second derivative of j**6/150 - j**4/30 + j**2/10 - 4*j. Find f, given that s(f) = 0.
-1, 1
Let y(w) be the second derivative of -w**5/40 - 3*w**4/8 + w**3/12 + 9*w**2/4 - 56*w. Determine p so that y(p) = 0.
-9, -1, 1
Suppose -51*q**2 - 6 + 50*q + 0 + 18*q**3 - 2 - 33*q**2 = 0. Calculate q.
1/3, 4
Let s be ((-24)/(-20))/(2/10). Let a = s - 2. Find i such that 2*i + 3*i**2 - 2*i**2 - 3*i**a - 5*i**3 + i**3 = 0.
-1, 0, 2/3
Suppose 2/5*q**2 + 0 + 2/5*q = 0. What is q?
-1, 0
Let s = -15 + 18. Suppose -5*h = -s*h - 4. Factor -2/9*d + 0 - 2/9*d**h.
-2*d*(d + 1)/9
Solve 0 + 0*z**2 - 8/9*z + 2/9*z**3 = 0 for z.
-2, 0, 2
Let d(a) be the second derivative of 15*a**7/14 + 8*a**6/3 - a**5 - 15*a**4/2 - 25*a**3/6 + 5*a**2 + 11*a. Factor d(z).
5*(z - 1)*(z + 1)**3*(9*z - 2)
Let a(q) be the second derivative of 2/3*q**4 + 3/5*q**5 + 0 + 0*q**3 + 0*q**2 - 5*q + 2/15*q**6. Factor a(t).
4*t**2*(t + 1)*(t + 2)
Let x = -41 - -43. Let n(c) be the second derivative of -2/27*c**3 - 7/54*c**4 + c + 0 + 0*c**x. Solve n(l) = 0 for l.
-2/7, 0
Let h(c) = c**2 + c. Let t(g) be the second derivative of -19*g**4/12 - 3*g**3 - 2*g**2 + 3*g. Let d(w) = -2*h(w) + t(w). Factor d(u).
-(3*u + 2)*(7*u + 2)
Let 4/3*s**4 + 0 + 2/3*s**3 + 0*s**2 + 2/3*s**5 + 0*s = 0. Calculate s.
-1, 0
Let j = 10 + -4. Factor 3*w**2 - 6 - j*w**2 - 3*w + 12*w + 0*w**2.
-3*(w - 2)*(w - 1)
Factor -12*j**2 - 6*j**4 + 13*j**2 - 3*j**5 + 2*j**2 + 3*j + 3*j**2.
-3*j*(j - 1)*(j + 1)**3
What is h in 2/3*h - 2/3*h**2 + 4/3 = 0?
-1, 2
Let h(a) = a**5 - a**4 + a**3 - a. Let p(q) = 5*q**5 - q**4 - 12*q**3 - 4*q**2 + 6*q. Let c(i) = 2*h(i) - p(i). Suppose c(j) = 0. Calculate j.
-2, -1, 0, 2/3, 2
Let z(n) be the third derivative of -1/24*n**4 + 1/6*n**3 + 1/120*n**6 - n**2 - 1/60*n**5 + 0*n + 0. Find q, given that z(q) = 0.
-1, 1
Find o such that -2*o + 2*o + 6*o**4 - 9*o**3 - 380*o**5 + 383*o**5 = 0.
-3, 0, 1
Let w be (10/25)/(8/10). Suppose -t + 12 = 3*t. Find n such that -w + 1/2*n**4 + n - n**t + 0*n**2 = 0.
-1, 1
Determine w, given that 6/13 + 4/13*w - 2/13*w**2 = 0.
-1, 3
Let p be (-88)/(-55) - (-4)/10. Factor 3/5*a**p - 6/5*a + 0.
3*a*(a - 2)/5
Factor 0*m + 0 - 3/2*m**4 - 9/2*m**3 + 0*m**2.
-3*m**3*(m + 3)/2
Determine j so that -4*j**2 - 7*j**2 - j**2 + 4*j + 8 + 4*j**2 - 4*j**3 = 0.
-2, -1, 1
Let t = 176/273 - -2/91. Factor 0 + 0*d**2 - 4/3*d**4 + t*d**5 + 0*d + 2/3*d**3.
2*d**3*(d - 1)**2/3
Let r(b) = -b**2 - 5*b - 2. Let n be r(-4). Factor -1/3*w**n + 0 + 1/3*w**3 + 0*w.
w**2*(w - 1)/3
Let h(k) be the third derivative of -1/35*k**7 + 1/168*k**8 - 1/4*k**4 + 1/15*k**5 + 1/30*k**6 + 1/3*k**3 - 3*k**2 + 0*k + 0. Factor h(y).
2*(y - 1)**4*(y + 1)
Let n(l) be the second derivative of l**6/1800 + l**5/300 + l**4/120 + l**3/3 - 3*l. Let q(b) be the second derivative of n(b). Factor q(d).
(d + 1)**2/5
Let t(l) be the first derivative of 12/5*l + 6/5*l**2 + 9/25*l**5 + 4 - 3/5*l**4 - 7/5*l**3. Let t(i) = 0. What is i?
-1, -2/3, 1, 2
Let g(b) be the third derivative of 0*b**5 - b**2 - 1/30*b**6 + 1/168*b**8 + 0*b + 1/105*b**7 + 0 + 0*b**3 + 0*b**4. Determine t, given that g(t) = 0.
-2, 0, 1
Let c(w) be the first derivative of 4/3*w**3 + 1/2*w**4 + 0*w - 4 + 0*w**2. Factor c(q).
2*q**2*(q + 2)
Let a(s) be the third derivative of s**7/4200 + s**6/1800 - s**3/2 + s**2. Let x(f) be the first derivative of a(f). Solve x(j) = 0.
-1, 0
Let u(n) = 2*n - 44. Let c be u(23). What is l in 4/3*l - 2/3 - 2/3*l**c = 0?
1
Let m(d) be the second derivative of -d**8/33600 + d**7/12600 + d**6/3600 - d**5/600 - d**4/3 - 3*d. Let l(c) be the third derivative of m(c). Factor l(q).
-(q - 1)**2*(q + 1)/5
Factor -1217*d**2 - 223*d - 186*d - 12 + 109*d - 658*d**2.
-3*(25*d + 2)**2
Let 0 + 0*q**2 + 2/5*q**3 + 0*q**4 - 1/5*q - 1/5*q**5 = 0. Calculate q.
-1, 0, 1
Let s(d) be the second derivative of d**7/280 + d**6/120 - d**5/40 - d**4/8 + d**3/6 - d. Let q(i) be the second derivative of s(i). Factor q(p).
3*(p - 1)*(p + 1)**2
Let l(c) be the second derivative of 3/4*c**4 - 6*c + 3/2*c**3 - 3*c**2 + 0 - 3/10*c**5. Factor l(i).
-3*(i - 2)*(i + 1)*(2*i - 1)
Let v(s) = -s**2 - 5*s + 4. Let n be v(-5). Factor 0*l**2 + n*l**2 + 3*l - l**2.
3*l*(l + 1)
Let i(u) be the second derivative of 5*u**7/168 - u**6/12 + u**5/16 - 17*u. Find f, given that i(f) = 0.
0, 1
Let t be (2/(-12))/(2/15). Let m = -7/12 - t. Suppose m*w - 4/9 - 2/9*w**2 = 0. Calculate w.
1, 2
Let s = 321/4 + -80. Let -s*p**4 + 1/4*p**2 + 0 - 1/4*p**3 + 1/4*p = 0. What is p?
-1, 0, 1
Let k(o) = 3*o - 24. Let u be k(8). Let z(c) be the first derivative of u*c**5 + 0*c + 1/3*c**6 + c**2 - c**4 + 1 + 0*c**3. Factor z(q).
2*q*(q - 1)**2*(q + 1)**2
Let m(n) = n**3 + 6*n**2 + n + 8. Let o be m(-6). Suppose o*q + 9 = -3*a - q, -2*q - 12 = -a. Find g such that -2*g**3 - 4*g**3 + 0*g**3 - 2*g**a + 0*g**2 = 0.
-1/3, 0
Find s such that 0*s**3 - 2/3*s + 0 - 4/3*s**4 + 2/3*s**5 + 4/3*s**2 = 0.
-1, 0, 1
Let w(u) = -u**3 + 8*u**2 + u - 6. Let s be w(8). Let f(c) be the first derivative of c**2 + 0*c + s - 5/4*c**4 - c**3. Factor f(d).
-d*(d + 1)*(5*d - 2)
Factor -2 + 26/7*g - 2/7*g**3 - 10/7*g**2.
-2*(g - 1)**2*(g + 7)/7
Let b(q) be the second derivative of 1/24*q**4 + 1/6*q**3 - 8*q + 0 + 0*q**2. Factor b(o).
o*(o + 2)/2
Factor -m**2 + 1 - 1 + 0.
-m**2
Suppose 2 + 4 = -3*l. Let n = l + 4. Let 2*y + 2*y**2 - 4*y**2 - 2*y**2 + 0*y**n + 2*y**3 = 0. Calculate y.
0, 1
Let o(x) = -x + 9. Let h be o(-9). Let s(j) = j**2 + j. Let b(y) = -3*y**3 + 27*y**2 + 12*y. Let p(t) = h*s(t) - b(t). Factor p(w).
3*w*(w - 2)*(w - 1)
Let h(z) = 7*z**4 - 27*z**3 + 4*z**2 + 5*z + 11. Let t(m) = 2*m**4 - 7*m**3 + m**2 + m + 3. Let p(x) = -6*h(x) + 22*t(x). Factor p(a).
2*a*(a - 1)*(a + 1)*(a + 4)
Let d be 6/8 + 3/(1 - -5). Find g, given that 9/4*g**2 + 1/2 + 1/4*g**4 - d*g**3 - 7/4*g = 0.
1, 2
Let a(z) be the third derivative of -z**6/180 - z**5/60 - z**3/2 - z**2. Let u(s) be the first derivative of a(s). Solve u(n) = 0.
-1, 0
Let c(f) be the third derivative of f**5/120 + f**4/48 + 2*f**2. Let c(j) = 0. Calculate j.
-1, 0
Factor -2/7*x**3 + 0*x + 0 - 4/7*x**2.
-2*x**2*(x + 2)/7
Factor -2/5*d**3 + 0*d + 0 + 4/5*d**2.
-2*d**2*(d - 2)/5
Let t be 30/8 + (-21)/28. Suppose 5 - 2 + 3*x**3 - 17*x - 6*x**2 + 14*x + t = 0. What is x?
-1, 1, 2
Suppose 2*r = 4*o - 10, 4*r = 3*r + 1. Let h(w) be the third derivative of 1/42*w**4 + 0*w**o + 1/210*w**5 + 0 + 0*w - w**2. Let h(c) = 0. Calculate c.
-2, 0
Let v(u) = -u**2 + 5*u + 16. Let i be v(7). Factor -3/2*n**4 - 3/4*n + 0 + 3/4*n**5 + 0*n**3 + 3/2*n**i.
3*n*(n - 1)**3*(n + 1)/4
Let m = -5 + 7. Suppose 0 = -4*f + 11 + 5. Factor -2*k**m + f*k**3 - 2*k**4 + 8 - 8.
-2*k**2*(k - 1)**2
Let j(y) be the second derivative of 0 - y + 1/27*y**3 + 0*y**2 - 2/135*y**6 + 1/27*y**4 - 1/90*y**5. Solve j(r) = 0 for r.
-1, -1/2, 0, 1
Let k(c) be the second derivative of 5/24*c**3 - 1/4*c**2 - 1/12*c**4 + 1/80*c**5 + 0 - 4*c. Factor k(z).
(z - 2)*(z - 1)**2/4
Let n(x) be the second derivative of 5/6*x**4 - 2*x + x**2 + 1/5*x**5 + 4/3*x**3 + 0. Factor n(s).
2*(s + 1)**2*(2*s + 1)
Let y(g) be the second derivative of -g**4 + 26*g**3/3 - 8*g**2 - 5*g. Find b such that y(b) = 0.
1/3, 4
Let s(x) = -x**3 - x - 1. Let h(q) = 5*q**3 -