0 - 3/4*g**3 - 3/4*g - p*g**2.
-3*g*(g + 1)**2/4
Determine k so that -6*k + 6*k**3 + 3*k**4 - 9 + 19*k**2 - 6*k**4 - 7*k**2 = 0.
-1, 1, 3
Let b(a) = -a**2 + 12*a + 136. Let v be b(19). Let -3/2*s**4 + v*s**2 + 3*s**5 + 3*s - 3/2 - 6*s**3 = 0. What is s?
-1, 1/2, 1
Let f(n) be the third derivative of -n**5/100 + n**4/10 - 2*n**3/5 - 7*n**2. Factor f(p).
-3*(p - 2)**2/5
Factor -8/11*a + 2/11*a**2 + 0.
2*a*(a - 4)/11
Find j, given that -8/3*j**2 + 8/3 + 2/3*j**3 - 2/3*j = 0.
-1, 1, 4
Let r(y) = -1. Let l(b) = -2*b + 1. Let p(x) = -l(x) + 2*r(x). Let i be p(4). Determine c so that 6*c - 3*c**5 - 12*c**3 - 8*c**4 - 8*c + c**i - 8*c**2 = 0.
-1, 0
Let h(d) = d**2 - 2*d - 20. Let o be h(6). Factor -3/2*q**3 + 0*q**2 + 1/2*q**o + 2*q + 0.
q*(q - 2)**2*(q + 1)/2
Let a(q) = q**3 - q + 1. Let c(g) = 16*g**3 - 16*g**2 - 58*g - 14. Let s(b) = 36*a(b) - 2*c(b). Factor s(t).
4*(t + 2)**2*(t + 4)
Suppose 4*m - 2*m + 4*v = -8, 3*m - 3*v = 15. Let u**5 + 2*u**3 + 2*u**m + 1 - 3*u - 3*u**4 + 0*u**5 + 0*u**5 = 0. Calculate u.
-1, 1
Let x be -1 + (3 - (-55)/(-30)). Let q(s) be the first derivative of -1/10*s**5 + 1/8*s**4 + x*s**3 + 0*s - 2 - 1/4*s**2. Let q(v) = 0. Calculate v.
-1, 0, 1
Let a = 47 - 45. Let l(n) be the third derivative of 1/24*n**5 + 0 + 1/12*n**3 + a*n**2 + 3/32*n**4 + 0*n. Factor l(q).
(2*q + 1)*(5*q + 2)/4
Let i(y) be the second derivative of y**7/3780 - y**6/405 + y**5/108 - y**4/54 + y**3 - 4*y. Let x(z) be the second derivative of i(z). What is r in x(r) = 0?
1, 2
Let y = 59/135 + -1/27. Factor 12/5*j**2 - 2/5 + 22/5*j**4 - y*j + 28/5*j**3 + 6/5*j**5.
2*(j + 1)**4*(3*j - 1)/5
Let t(g) be the third derivative of 0 + 3/20*g**5 + 5/8*g**4 + 2*g**2 + 0*g - g**3. Factor t(a).
3*(a + 2)*(3*a - 1)
Let h(j) = 2*j + 18. Let k be h(-8). Factor -1/4*z + 0 - 1/4*z**k.
-z*(z + 1)/4
Let y(j) = -5*j**2 + 10*j - 2. Let x(s) = -11*s**2 + 21*s - 3. Let g(q) = -2*x(q) + 5*y(q). Factor g(a).
-(a - 2)*(3*a - 2)
Let n(a) be the first derivative of 0*a - 1/24*a**6 + 0*a**5 + 1/6*a**3 + 0*a**2 + 3/16*a**4 - 7. Factor n(j).
-j**2*(j - 2)*(j + 1)**2/4
Factor 12*g - 4 + 30*g**2 - 20*g**2 + 4*g**3 - 22*g**2.
4*(g - 1)**3
Let h be (0 + (-2)/(-4))/((-18)/(-12)). Let a = 79/15 + -23/5. Factor a + b + h*b**2.
(b + 1)*(b + 2)/3
Let y(v) be the third derivative of v**5/300 - v**4/60 + v**3/30 + 9*v**2. Factor y(h).
(h - 1)**2/5
Solve 22*j**3 - 38*j**3 - 6*j + 5*j**4 + 22*j**3 - 2*j**2 - 3*j**4 = 0 for j.
-3, -1, 0, 1
Let m(y) be the third derivative of y**9/52920 - y**7/4410 + y**5/420 - y**4/3 + 3*y**2. Let c(n) be the second derivative of m(n). Solve c(g) = 0.
-1, 1
Find j, given that -3*j**2 + 9/2 - 3/4*j - 3/4*j**3 = 0.
-3, -2, 1
Let 0 + 1/2*d**2 + 1/2*d - 1/2*d**3 - 1/2*d**4 = 0. Calculate d.
-1, 0, 1
Let i(r) be the third derivative of r**9/151200 - r**8/25200 + r**5/30 + 2*r**2. Let m(u) be the third derivative of i(u). Factor m(j).
2*j**2*(j - 2)/5
Let o = -15 - -8. Let z(g) = -g - 7. Let q be z(o). Factor -1/3*l**5 + 2/3*l**4 + 0 + 1/3*l + q*l**3 - 2/3*l**2.
-l*(l - 1)**3*(l + 1)/3
Suppose -4*r + 8 = -3*c, -2*r - 2*r + 16 = -c. Let p be (-3 + 12/c)/(-3). Find t, given that t**3 + p*t + 0 - 1/3*t**2 - t**4 + 1/3*t**5 = 0.
0, 1
Factor 10*u**3 + 10 - 5*u**3 - 8*u + 20*u**2 + 33*u.
5*(u + 1)**2*(u + 2)
Let a be (-64)/(-14) - 21/(-49). Let w(s) be the first derivative of 0*s**3 - 1/15*s**a - 1/12*s**4 + 0*s + 2 + 0*s**2. Determine k so that w(k) = 0.
-1, 0
Let n(r) = -2*r - 5. Let h be n(-5). Factor h*c**3 - 6*c**2 + 4*c**2 - 3*c**3.
2*c**2*(c - 1)
Let a be 6/8*9*33/99. Factor 15/2*n + a + 3/4*n**4 + 9/2*n**3 + 9*n**2.
3*(n + 1)**3*(n + 3)/4
Suppose -4*l - 3*c = 25, -l + 0*l + 8 = -4*c. Let q be (1/2)/(l/(-24)). Find x such that 0*x**2 - 2*x**q + 0*x**4 + x**2 + x**4 = 0.
0, 1
Let b = -45 - -49. Let u(o) be the first derivative of 0*o - 3 - 1/4*o**3 + 1/4*o**2 + 1/16*o**b. Determine s, given that u(s) = 0.
0, 1, 2
Let z = -4 + 7. Suppose 0 = b - z*b + 4. Solve -b*i**2 - i**2 + i**2 - 4*i = 0 for i.
-2, 0
Let s be -8 + 5 - 66/(-18). Suppose s*k**2 + 6 - 4*k = 0. Calculate k.
3
Let u(v) be the first derivative of -3*v**4/4 - v**3/2 + 3*v**2/2 + 3*v/2 - 4. Find i, given that u(i) = 0.
-1, -1/2, 1
Let d be ((-4)/4)/((-1)/(-7)). Let y(a) = a**2 + 7*a + 2. Let h be y(d). Suppose 3*m - 2 + 0*m**h - 2*m + m**2 = 0. What is m?
-2, 1
Let d = 25 - 49/2. Factor 0*g - 1/2*g**5 - d*g**3 + 0 + 0*g**2 + g**4.
-g**3*(g - 1)**2/2
Suppose 6*x = 51 - 51. Let b(v) be the first derivative of 1 + 0*v - 1/4*v**4 + 0*v**3 + x*v**2 + 1/10*v**5. Factor b(f).
f**3*(f - 2)/2
Let p(l) = -22*l**3 + 40*l**2 - 2*l - 10. Let b(j) = 265*j**3 - 480*j**2 + 25*j + 120. Let f(t) = -3*b(t) - 35*p(t). What is r in f(r) = 0?
-2/5, 1
Factor 9*y - 4*y**2 - 26*y**2 + 18 - 66*y + 9*y**2.
-3*(y + 3)*(7*y - 2)
Let o = -7983/4 - -2007. Factor -6*q - o*q**2 - 25/4*q**3 - 1.
-(q + 1)*(5*q + 2)**2/4
Let g be ((-1)/(-3))/(2/12). Let w(o) = -o + 4. Let i be w(g). Factor 4/5*n**i + 0 - 2/5*n**3 - 2/5*n.
-2*n*(n - 1)**2/5
Factor 5*x**2 + 1 - 3*x + 3 + 11*x + x**3.
(x + 1)*(x + 2)**2
Let w(u) = -u + 2. Let b be w(2). Let z be b - 4/(-4)*3. Determine f so that 0 - f + 5/2*f**2 + 7/2*f**z = 0.
-1, 0, 2/7
Find x such that 1/2*x + 1/6*x**2 + 0 = 0.
-3, 0
Let q(j) be the second derivative of -j**5/10 + j**4/2 - j**3 + j**2 + 3*j. Factor q(f).
-2*(f - 1)**3
Solve 72/5*b**4 - 4/5 - 166/5*b**2 + 10*b + 48/5*b**3 = 0.
-2, 1/6, 1
Let x(j) be the second derivative of -j**5/20 - 3*j**4/8 - j**3 + 4*j**2 + 5*j. Let d(f) be the first derivative of x(f). Solve d(k) = 0.
-2, -1
Let s(p) be the second derivative of 3*p**5/20 + 6*p**4 + 96*p**3 + 768*p**2 - 8*p. Factor s(m).
3*(m + 8)**3
Let f(q) be the first derivative of q**4/18 - q**3/9 - 3*q + 1. Let s(m) be the first derivative of f(m). Let s(h) = 0. What is h?
0, 1
Let m = -641/3 + 221. Determine x, given that 0 + 40/9*x**4 + m*x**3 + 10/3*x**2 + 4/9*x = 0.
-1, -2/5, -1/4, 0
Let o = 11 + -20. Let j be o*-2*(-2)/(-12). Determine r, given that j*r**4 - 4*r**2 - 9*r**5 - r**3 + r**3 + 0*r**4 + 8*r**3 = 0.
-1, 0, 2/3
Factor 24/7 - 32/7*d**2 - 20/7*d + 12/7*d**3.
4*(d - 3)*(d + 1)*(3*d - 2)/7
Let x(y) be the first derivative of -4 + y + 0*y**2 - 1/3*y**3 - 1/6*y**4. Let i(w) be the first derivative of x(w). Determine z so that i(z) = 0.
-1, 0
Let h(p) be the first derivative of p**4/2 - 6*p**3 + 27*p**2 - 54*p - 1. Factor h(k).
2*(k - 3)**3
Let a(o) be the third derivative of -o**5/240 + o**4/24 - 13*o**2. Suppose a(c) = 0. Calculate c.
0, 4
Let o(y) be the third derivative of y**7/210 - y**6/24 + y**5/10 + y**4/6 - 4*y**3/3 - 6*y**2. Suppose o(r) = 0. What is r?
-1, 2
Let l(n) be the third derivative of 0 + 0*n**4 - 1/490*n**7 + 0*n + 0*n**5 + 0*n**3 + 1/140*n**6 + 5*n**2. Factor l(a).
-3*a**3*(a - 2)/7
Let p(s) be the second derivative of 1331*s**5/90 + 121*s**4/9 + 44*s**3/9 + 8*s**2/9 + 11*s. Find t, given that p(t) = 0.
-2/11
Let t(h) be the first derivative of -h**2 - 4*h - 1. Let y be t(-3). Factor 1 - 4*f**y + 4*f**2 - 3*f**2 + 4*f**2 - 2*f.
(f - 1)**2
Let g(w) be the second derivative of 2*w**7/7 - w**6/2 + 3*w**5/20 + 18*w. Let g(j) = 0. What is j?
0, 1/4, 1
Let w(p) be the first derivative of p**5/270 - p**3/27 + p**2 - 4. Let i(h) be the second derivative of w(h). Factor i(y).
2*(y - 1)*(y + 1)/9
Suppose 1 - 4/5*q - 1/5*q**2 = 0. Calculate q.
-5, 1
Factor -2/3*o + 5/3*o**4 - 3*o**3 - 1/3*o**5 + 7/3*o**2 + 0.
-o*(o - 2)*(o - 1)**3/3
Let t(z) be the second derivative of z**8/2800 - z**3/6 - 8*z. Let y(o) be the second derivative of t(o). Determine s, given that y(s) = 0.
0
Suppose 3*c + 1 = -41. Let z be ((-1)/4)/(c/16). Factor 0*d + 0 - 2/7*d**2 - 2/7*d**3 + z*d**4 + 2/7*d**5.
2*d**2*(d - 1)*(d + 1)**2/7
Let z(o) be the first derivative of -3*o**5/35 + 3*o**3/7 + 3*o**2/7 - 2. Suppose z(q) = 0. Calculate q.
-1, 0, 2
Let s be 4/(-8)*-6 + -2 + 1. Factor 8*m + 7/2*m**2 + s.
(m + 2)*(7*m + 2)/2
Let v(r) = r**2 + 8*r + 9. Suppose -s - 6 - 1 = 0. Let b be v(s). Suppose -2/7*j**b - 2/7 + 4/7*j = 0. What is j?
1
Let g(p) be the first derivative of 1/14*p**4 + 3/7*p**2 + 2/7*p + 2 + 2/7*p**3. Solve g(s) = 0 for s.
-1
Let p(h) = h**3 - 8*h**2 + h + 5. Let o(i) = 2*i**3 - 17*i**2 + i + 9. Let s(y) = 2*o(y) - 5*p(y). Let g be s(5). Factor -t**g + 3/2*t**2 + 1/4*t**4 - t + 1/4.
(t - 1)**4/4