or o(q).
-2*q*(q - 4)*(5*q + 2)/7
Let r(m) be the first derivative of -m**3/3 - 11*m**2/2 + 3*m - 2. Let g be r(-11). Find l such that -g*l - 3/2*l**2 - 1/4*l**3 - 2 = 0.
-2
Factor -1/5 + 3/5*c**4 + 2/5*c**3 - 2/5*c**2 - 3/5*c + 1/5*c**5.
(c - 1)*(c + 1)**4/5
Let p(m) be the second derivative of m**6/120 - m**5/30 - m**4/24 + m**3/3 - 9*m**2/2 - 9*m. Let d(s) be the first derivative of p(s). Factor d(l).
(l - 2)*(l - 1)*(l + 1)
Let b be -2 + 33/21 - 493/(-203). Let s = -13 - -41/3. Factor -4/3*f - 2/3*f**b - s.
-2*(f + 1)**2/3
Let a = 8/35 + 1/14. Let o(s) be the first derivative of 1/5*s**2 + 1 + 4/15*s**3 + 0*s - a*s**4. Find b, given that o(b) = 0.
-1/3, 0, 1
Let x(y) be the second derivative of y**6/120 - y**5/40 - y**4/48 + y**3/12 + 10*y + 3. Let x(b) = 0. Calculate b.
-1, 0, 1, 2
Let p(m) = 6*m**4 - 4*m**3 - 6*m**2 + 20*m. Let i(y) = y**4 - y**3 - y**2 + 4*y. Let v(q) = -16*i(q) + 3*p(q). Factor v(n).
2*n*(n - 1)*(n + 1)*(n + 2)
Determine z, given that -72/7*z**2 + 78/7*z**4 + 8/7*z**3 - 32/7*z + 18/7*z**5 + 0 = 0.
-4, -2/3, 0, 1
Let o(m) be the third derivative of 6*m**2 + 0 + 0*m - 9/2*m**3 - 1/20*m**5 - 3/4*m**4. Factor o(w).
-3*(w + 3)**2
Let w(r) be the third derivative of -r**8/560 - r**7/175 + r**5/50 + r**4/40 + 3*r**2. Solve w(x) = 0 for x.
-1, 0, 1
Let q(t) be the second derivative of -t**5/120 - t**4/36 - t**3/36 - 9*t. Factor q(l).
-l*(l + 1)**2/6
Let u(k) = -k**3 + k**2 + k - 1. Let p(v) = -3*v**3 + v**2 + 7*v + 3. Let b(g) = 2*p(g) - 2*u(g). Factor b(i).
-4*(i - 2)*(i + 1)**2
Let f(n) be the first derivative of -98*n**3/9 + 14*n**2/3 - 2*n/3 - 2. Find w, given that f(w) = 0.
1/7
Let f(t) be the third derivative of t**7/560 + t**6/64 + 7*t**5/160 + 3*t**4/64 + 22*t**2. What is n in f(n) = 0?
-3, -1, 0
Let b(a) be the second derivative of a**7/21 + a**6/5 + a**5/10 - a**4/2 - 2*a**3/3 - 40*a. What is n in b(n) = 0?
-2, -1, 0, 1
Let 3*b**4 + 4*b**2 - 18*b**3 + 9*b**3 - 3*b + 5*b**2 = 0. What is b?
0, 1
Let g(r) be the third derivative of 5*r**8/84 + 5*r**7/42 + r**6/24 - 7*r**2. Factor g(l).
5*l**3*(l + 1)*(4*l + 1)
Find t such that -8/7*t**2 + 0*t + 2/7*t**4 + 4/7*t**3 - 1/7*t**5 + 0 = 0.
-2, 0, 2
Let -4/3 - 34/3*y - 32/3*y**3 - 80/3*y**2 = 0. Calculate y.
-2, -1/4
Let h(d) = d**2 - 12*d + 34. Let g be h(8). Factor -2/3*j - 6*j**4 + 0 - 14/3*j**g - 10*j**3.
-2*j*(j + 1)*(3*j + 1)**2/3
Let v be (9/15)/((-21)/(-45)). Let s = v + -67/63. Factor -2/9 + s*p**2 + 0*p.
2*(p - 1)*(p + 1)/9
Suppose -25 = 4*q - 9. Let t be (q/(-12))/((-1)/(-1)). Solve t*n**3 + 0 - n**2 + 2/3*n = 0.
0, 1, 2
Let f = 49733/454 + -10/227. Let v = f + -105. Factor -1 + v*a - 2*a**2.
-(a - 2)*(4*a - 1)/2
Let m(i) be the third derivative of 1/30*i**6 + 0 - 2*i**2 + 1/105*i**7 + 0*i - 1/30*i**5 - 1/6*i**4 + 0*i**3. Factor m(x).
2*x*(x - 1)*(x + 1)*(x + 2)
Suppose 3*t = 2*t + 3. Let k = 1 + t. Suppose 0 - 2/7*h**k + 2/7*h**3 - 2/7*h + 2/7*h**2 = 0. Calculate h.
-1, 0, 1
Find g, given that -4*g**2 + 10*g**2 + 2*g - 3*g**5 + 0*g - 6*g**4 + g = 0.
-1, 0, 1
Factor 1/4*d**3 + 0*d**2 - 1/4*d**4 + 0*d + 0.
-d**3*(d - 1)/4
Let -11*d**4 - 35*d**3 - d**2 + 5*d - 3*d**2 - 6*d**2 - 9*d**4 = 0. Calculate d.
-1, 0, 1/4
Let m(h) = -h**3 + 5*h**2 + 5*h + 5. Let l be m(6). Let o = l + 5. Solve 0*g + 2/7*g**3 + 0 + 2/7*g**o + 0*g**2 = 0 for g.
-1, 0
Let z = 36181/11 + -3287. What is v in 2/11*v**4 - 12/11*v**3 + 8/11 - z*v + 26/11*v**2 = 0?
1, 2
Suppose 0*w - w = 10. Let v = -19/2 - w. Find l such that 0*l + v*l**3 - 1/2*l**2 + 0 = 0.
0, 1
Let y be (3 - (-2)/12) + -3. Let q(s) be the second derivative of -2/3*s**3 + 0 + s**2 + y*s**4 - 2*s. Suppose q(j) = 0. What is j?
1
Let d be (-375)/(-200) - 2/(-16). Suppose -3/2*t + 1/2*t**d + 1 = 0. What is t?
1, 2
Let y(q) be the first derivative of 1 + 1/6*q**2 - 2/15*q**5 + 0*q**4 - 1/18*q**6 + 2/9*q**3 + 0*q. Determine t, given that y(t) = 0.
-1, 0, 1
Factor -3/2*c**3 + 0 + 3/2*c**2 + 0*c.
-3*c**2*(c - 1)/2
Let f(o) be the first derivative of -3*o**4/8 + 3*o**3/2 + 3*o**2 - 31. What is m in f(m) = 0?
-1, 0, 4
Factor -20*p + 13*p - 3*p**2 + 4*p + 0*p**2.
-3*p*(p + 1)
Let d(q) be the first derivative of q**5/180 + q**4/36 + q**3/18 - q**2/2 + 2. Let s(o) be the second derivative of d(o). Factor s(u).
(u + 1)**2/3
Let h = 8 + -4. Let f**h + 0*f**4 - f**3 - f**5 + f**4 = 0. Calculate f.
0, 1
Suppose -5*k = 2 - 17. Let 1/2*q**k + 1/2 + 3/2*q**2 + 3/2*q = 0. What is q?
-1
Let q(t) be the third derivative of t**7/840 + t**6/180 + t**5/120 + t**4/12 - t**2. Let v(p) be the second derivative of q(p). Solve v(c) = 0 for c.
-1, -1/3
Let y = 9 - 7. Let b(d) be the third derivative of 0 - 2*d**y + 0*d - 1/360*d**6 - 1/180*d**5 + 1/18*d**3 + 1/72*d**4. Factor b(r).
-(r - 1)*(r + 1)**2/3
Let j(y) be the first derivative of -3*y**4/4 + y**3 + 6*y**2 - 12*y + 2. Suppose j(r) = 0. What is r?
-2, 1, 2
Let g(n) be the second derivative of n**4/3 - 2*n**3/3 - 4*n**2 - n. Solve g(c) = 0 for c.
-1, 2
Let g(b) be the third derivative of -b**6/150 - b**5/75 + b**4/15 + 8*b**2. Let g(c) = 0. What is c?
-2, 0, 1
Let k(h) = h**3 + 3*h**2 - 11*h - 5. Let t be k(-5). What is r in -2/9*r**3 - 4/9*r**4 + 4/9*r**2 + 2/9*r**5 + t*r + 0 = 0?
-1, 0, 1, 2
Let o(f) = -5*f + 32. Let p(d) = 2*d - 11. Let l(i) = -4*o(i) - 11*p(i). Let y be l(-5). Factor -5*z**2 - 5 + 6*z**4 + 5 + 3*z - y*z**3 - 4*z**2 + 3.
3*(z - 1)**2*(z + 1)*(2*z + 1)
Factor -1/4*o**5 + 0*o + 0*o**2 + 1/4*o**4 + 0 + 0*o**3.
-o**4*(o - 1)/4
Let h(l) = 2*l**3 - 5*l**2 - l + 3. Let q = 29 - 55. Let u(x) = -8*x**3 + 20*x**2 + 5*x - 13. Let c(m) = q*h(m) - 6*u(m). Factor c(i).
-2*i*(i - 2)*(2*i - 1)
Let s(r) be the second derivative of -3*r**7/140 + r**6/30 - r**5/60 + r**3/3 + 3*r. Let y(z) be the second derivative of s(z). Determine b so that y(b) = 0.
0, 1/3
Let c(z) = -z**2 + z + 1. Let v(f) = 15*f + 9*f**3 + 3*f - 33*f**2 + 2 - 3 + 16. Let p(h) = 9*c(h) - v(h). Factor p(g).
-3*(g - 2)*(g - 1)*(3*g + 1)
Let y = -13 - -7. Let t = y + 10. Factor 0 - 2/3*i**3 - 2/3*i**t + 2/3*i + 2/3*i**2.
-2*i*(i - 1)*(i + 1)**2/3
Suppose 3*i = 9 - 0. Factor 13/4*b + 17/4*b**i + 1/2 + b**4 + 6*b**2.
(b + 1)**2*(b + 2)*(4*b + 1)/4
Let t(f) = -3*f - 3. Let i be t(-2). Let v be i/12 - (-3)/4. Solve s**2 + 2*s + v + 0*s - 4*s = 0.
1
Let q = -3 - -7. Suppose 2*x + 0 = q. Factor -x*i**2 - 3*i - i + 2*i + 4*i**2.
2*i*(i - 1)
Suppose -10 - 15*a + 5*a**4 + 4*a**3 + 5*a**2 - 7*a**3 + 18*a**3 = 0. What is a?
-2, -1, 1
Let x(w) = w**3 + 7*w**2 - 9*w - 8. Let c be x(-8). Determine d, given that -2/5*d**2 + c + 0*d = 0.
0
Let h(y) be the third derivative of 0*y**3 + 1/75*y**5 - 1/300*y**6 + 0*y - 1/60*y**4 + 0 - y**2. Factor h(n).
-2*n*(n - 1)**2/5
Suppose 2*v = 4*o - 16, -5*o = -10*o + 4*v + 26. Suppose 0 = -3*y + 2*y + 2. Determine b, given that -1 - o*b + 2*b + b**y = 0.
-1, 1
Let b(x) = 49*x + 51. Let n be b(-1). Factor 7/4*i**4 + i**5 - 1/2*i - 1/2*i**3 - n*i**2 + 1/4.
(i - 1)*(i + 1)**3*(4*i - 1)/4
Let o(a) = 30*a**4 - 3*a**3 - 27*a**2 + 12*a - 6. Let i(w) = w**3 + w**2 - w + 1. Let g(f) = -6*i(f) - o(f). Find h, given that g(h) = 0.
-1, 0, 2/5, 1/2
Suppose 2*l = 4*l - u - 6, 4 = 5*l + 3*u. Suppose -3*y = -9*y. Let -4/9*i**5 + 0 + y*i**l + 2/9*i**4 + 0*i + 0*i**3 = 0. Calculate i.
0, 1/2
Let r(g) be the third derivative of -1/108*g**4 + 0 + 0*g + 0*g**3 + 1/270*g**5 - g**2. Factor r(q).
2*q*(q - 1)/9
Suppose -5 - 50 = 5*r. Let z = -7 - r. Factor 0*t**5 + 6*t**3 + 5*t**4 + t + t**5 + z*t**2 - t**4.
t*(t + 1)**4
Suppose 0 = 7*i - 9*i + 10*i. Let 6*g**3 - 5/3*g**2 + i - 2/3*g = 0. Calculate g.
-2/9, 0, 1/2
Let v(g) = -g**2 - 5*g - 2. Let w be v(-2). What is r in 1 + 3/2*r - 2*r**w + 15/2*r**3 - 8*r**2 = 0?
-1/4, 1, 2
Let t be 0*(1/2 + -1). Suppose 5*w - 14 = 10*j - 7*j, -j - w = -6. Solve 0 - 2/5*c**5 + 0*c**j + t*c**4 + 0*c + 2/5*c**3 = 0.
-1, 0, 1
Let s(x) be the second derivative of 9*x**5/10 + 11*x**4/6 + 2*x**3/3 + 60*x. Factor s(o).
2*o*(o + 1)*(9*o + 2)
Let o(i) be the third derivative of i**6/60 + i**5/30 - i**4/12 - i**3/3 + 10*i**2. Suppose o(g) = 0. Calculate g.
-1, 1
Suppose 65 = -2*z - 41. Let x = -263/5 - z. Factor 2/5*q + 0 + x*q**2.
2*q*(q + 1)/5
Let h(p) = -6*p**3 - 4*p**2 + 8*p + 4. Let a(r) = -17*r**3 - 11*r**2 + 24*r + 11. Let l(j) = 2*a(j) - 7*h(j). Factor l(i).
2*(i - 1)*(i + 1)*(4*i + 3)
Let j(n) be the third