*2 + 1/3*j - 4/3*j**3 = 0.
-1/4, 0, 1
Let u(s) be the third derivative of -s**10/7560 + s**9/945 - s**8/560 + s**4/2 + 13*s**2. Let q(g) be the second derivative of u(g). Factor q(j).
-4*j**3*(j - 3)*(j - 1)
Factor -34/5*h + 2/5*h**3 - 2/5*h**2 - 6.
2*(h - 5)*(h + 1)*(h + 3)/5
Let u(j) be the second derivative of 1/10*j**6 + 0 - 1/4*j**4 - j**3 + 0*j**2 - 10*j + 3/10*j**5. What is a in u(a) = 0?
-2, -1, 0, 1
Let n = 1758 + -5273/3. Factor w**3 + n*w**2 - w - 1/3.
(w - 1)*(w + 1)*(3*w + 1)/3
Let o = 2116 - 14810/7. Factor -o*y**2 - 8/7 - 8/7*y.
-2*(y + 2)**2/7
Let q(n) = -11*n**3 + 10*n**2 + 14*n + 5. Let w(d) = 7*d**3 - 10*d**2 - 15*d - 6. Let y(f) = 4*q(f) + 6*w(f). Find g such that y(g) = 0.
-8, -1
Let n(y) be the second derivative of y**8/336 - y**7/42 + y**6/18 - 7*y**3/3 + 7*y. Let d(r) be the second derivative of n(r). Factor d(x).
5*x**2*(x - 2)**2
Suppose -3 = 3*g + 4*c + 5, -31 = -4*g + 3*c. Suppose 0 = 59*w - 64*w + t + 6, -2*t + 8 = 0. Suppose -b**2 - b**g - b**3 - b**w + 4*b**3 = 0. What is b?
0, 1, 2
Suppose 19*v = 86 - 10. Let y(w) be the second derivative of 0*w**2 + 1/45*w**6 - 1/9*w**v + 1/126*w**7 - 2*w - 1/20*w**5 + 2/9*w**3 + 0. Factor y(a).
a*(a - 1)**2*(a + 2)**2/3
Let y(h) = -235*h + 708. Let l be y(3). Factor -1/7*t + 1/7*t**l + 1/7*t**4 + 0 - 1/7*t**2.
t*(t - 1)*(t + 1)**2/7
Let s(i) = i - 2. Let z be s(7). Suppose u - c = -z*c + 7, -u = -3*c. Factor -3*p**2 - 2*p**3 + 7*p**3 + 0*p**u - 2*p**3.
3*p**2*(p - 1)
Suppose 3 = 2*p - w, 3*p + 3*w = 6*p - 3. Solve 1/2*h**2 + 3/2 + p*h = 0.
-3, -1
Let s = 8 + -4. Suppose s*d + 2 - 10 = 0. Suppose 12*o**2 - 3*o - o**4 - 9*o**3 + o**4 - 3*o**d + 3*o**4 = 0. Calculate o.
0, 1
Let a(z) be the first derivative of -z**5/3 - 2*z**4 - 16*z**3/9 + 191. Solve a(l) = 0 for l.
-4, -4/5, 0
Suppose 6 = g - 0*g. Let i(q) be the second derivative of 3/14*q**2 + 3/14*q**4 - 3/35*q**5 + 0 + 1/70*q**g - 6*q - 2/7*q**3. Factor i(y).
3*(y - 1)**4/7
Let l(t) be the first derivative of -5/2*t - 9/8*t**2 - 37 + 1/12*t**3. Factor l(s).
(s - 10)*(s + 1)/4
Let d(n) = -n**2 + 2*n + 1. Let k(f) = f**3 - 8*f**2 + 7*f + 12. Let y(h) = 6*d(h) - k(h). Factor y(a).
-(a - 3)*(a - 1)*(a + 2)
Let s(r) = -r**2 + 3. Let w(y) = 26*y**2 + 51*y + 3. Let u(h) = 5*s(h) + w(h). Determine v, given that u(v) = 0.
-2, -3/7
Determine r, given that -12/7 - 16/7*r**2 - 38/7*r = 0.
-2, -3/8
Let y = -228 + 230. Factor 0 - 2*g**y - 2/5*g**3 - 8/5*g.
-2*g*(g + 1)*(g + 4)/5
Let d(y) = -y**2 + 31*y - 106. Let r be d(27). What is m in -8/5 + 8/5*m - 2/5*m**r = 0?
2
Let s be -3*(4/(-20))/1 + 28/(-60). Let 2/15*h**2 - 2/15*h**3 + 2/15*h - s = 0. What is h?
-1, 1
Factor -2805*y - 4*y**2 - 2661*y - 40000 + 6266*y.
-4*(y - 100)**2
Let a = 229 - 229. Let k(q) be the third derivative of 0 + 6*q**2 + 1/10*q**5 + 0*q + 0*q**7 + a*q**4 + 1/112*q**8 - 3/40*q**6 + 0*q**3. Factor k(j).
3*j**2*(j - 1)**2*(j + 2)
Let x(t) be the second derivative of -17*t**4/144 - 53*t**3/72 - t**2/4 - 50*t - 4. Determine s so that x(s) = 0.
-3, -2/17
Let z(t) be the first derivative of -2*t**6/3 - 8*t**5/5 + 2*t**4 + 32*t**3/3 + 14*t**2 + 8*t + 8. Factor z(q).
-4*(q - 2)*(q + 1)**4
Let s = 11132/16701 + 2/16701. Factor -10/9*r**3 + 0 - 2/9*r**4 - s*r - 14/9*r**2.
-2*r*(r + 1)**2*(r + 3)/9
Factor 58/7*x**2 - 78/7*x + 36/7 - 18/7*x**3 + 2/7*x**4.
2*(x - 3)**2*(x - 2)*(x - 1)/7
Let q(f) be the second derivative of f**5/30 + 7*f**4/6 - 22*f**3/9 - 190*f. Solve q(k) = 0.
-22, 0, 1
Let 2/13*q**2 + 4*q + 0 = 0. Calculate q.
-26, 0
Let z(j) be the third derivative of 0 + 15*j**2 + 0*j**3 - 1/210*j**5 + 0*j - 3/28*j**4. Let z(i) = 0. Calculate i.
-9, 0
Suppose 5*r - 25 = 3*v + 5, -r + 4*v + 23 = 0. Let -16 - 63*h + 3*h - 10*h**2 + 5*h**4 - 46 + 22 + 15*h**r = 0. What is h?
-2, -1, 2
Let v(w) be the third derivative of 0*w**4 + 0 + 0*w + 0*w**3 - 22*w**2 + 1/300*w**5. Find b such that v(b) = 0.
0
Let u be -4 - (-154)/(-21) - -14. Suppose -u*g**2 + 8/3 + 2/3*g - 2/3*g**3 = 0. What is g?
-4, -1, 1
Let t(b) be the first derivative of -b**2 + 1/2*b**4 - 3 - 4/5*b + 4/15*b**3. Factor t(x).
2*(x - 1)*(x + 1)*(5*x + 2)/5
Suppose 0 = 4*n + 2*k + 8, 4*n - 3 = -5*k - 23. Let h(x) be the third derivative of 0 + 0*x**4 + 0*x + n*x**3 + 10*x**2 - 1/270*x**5. What is b in h(b) = 0?
0
Let f(s) be the third derivative of s**8/1344 + s**7/840 - s**6/80 - 180*s**2. Let f(c) = 0. Calculate c.
-3, 0, 2
Let d = 156554/11 + -14232. Factor -4/11*y**3 + 2/11*y**4 + 0 - d*y**2 + 4/11*y.
2*y*(y - 2)*(y - 1)*(y + 1)/11
Let j be (-6 - -5)/(-2*1/(-2)). Let q be j/4*(-3 - 5). Factor 1/5*r**q - 2/5*r**3 + 1/5*r**4 + 0*r + 0.
r**2*(r - 1)**2/5
Factor 450*o**2 + 6674*o + 2*o**3 + 843750 + 9511*o + 17565*o.
2*(o + 75)**3
Let q = 88 + -72. Let d be (4 + (q/(-4))/2)/3. Factor -c**2 - d - 5/3*c.
-(c + 1)*(3*c + 2)/3
Factor -48 + 112*u + 54*u**2 - 1073*u**4 - 54*u**2 + 4*u**5 + 1120*u**4 + 272*u**2 + 180*u**3.
(u + 2)**3*(u + 6)*(4*u - 1)
Let m(x) be the third derivative of x**6/120 + x**5/4 + 47*x**4/24 + 11*x**3/2 - 136*x**2. Let m(t) = 0. Calculate t.
-11, -3, -1
Let q be (-2)/((-8)/12) + 5 + -6. Factor -18/7 + 8*c + 24/7*c**3 - 2/7*c**4 - 60/7*c**q.
-2*(c - 9)*(c - 1)**3/7
Let u(p) be the second derivative of -p**7/63 - 2*p**6/75 + 2*p**5/75 + p**4/15 + p**3/45 - 54*p - 1. Let u(y) = 0. What is y?
-1, -1/5, 0, 1
Let y(t) = t**2 - 111*t. Let w be y(0). Factor -21/5*k**2 + 3/5*k**4 - 6/5*k**3 - 12/5*k + w.
3*k*(k - 4)*(k + 1)**2/5
Find v, given that 8/3*v + 92/3*v**3 + 8/3 - 70/3*v**2 + 8/3*v**5 - 46/3*v**4 = 0.
-1/4, 1, 2
Determine t, given that 1/9*t**2 + 116/9*t + 3364/9 = 0.
-58
Let g(s) be the first derivative of 7/51*s**6 - 10/51*s**3 - 9/34*s**4 + 2/17*s**2 + 0*s + 2/17*s**5 + 11. Let g(o) = 0. What is o?
-1, 0, 2/7, 1
Let d = 19203 - 172825/9. Factor 2 + 2/3*t - 10/9*t**2 + d*t**3.
2*(t - 3)**2*(t + 1)/9
Let f(u) = -u**2 + 5*u - 3. Let d be f(3). Let t be 1 - 2 - (-104)/40. Factor c**2 - t*c + 4/5 - 1/5*c**d.
-(c - 2)**2*(c - 1)/5
Let z(o) be the second derivative of -o**4/78 - o**3/39 - 21*o. Suppose z(g) = 0. Calculate g.
-1, 0
Let l(f) be the first derivative of f**5/60 - 5*f**4/36 + 7*f**3/18 - f**2/2 + 23*f + 22. Let y(s) be the first derivative of l(s). Factor y(j).
(j - 3)*(j - 1)**2/3
Let d = -134482/3 + 44828. Let -32/3*h + 0 - d*h**2 = 0. Calculate h.
-16, 0
Let y(z) = -z + 1. Let r(i) = -i - 6 - i - 2*i**2 + 10*i. Let m = -7 - -11. Let q(x) = m*y(x) + r(x). Suppose q(f) = 0. Calculate f.
1
Let q(t) be the second derivative of -t**7/105 + 23*t**6/75 + 12*t**5/25 + 15*t - 5. Solve q(a) = 0 for a.
-1, 0, 24
Let m = 4109/360 + -793/72. Let b = -4 + 8. What is r in -m*r**b - 2/5*r + 0 - 6/5*r**3 - 6/5*r**2 = 0?
-1, 0
Let z(q) = -q**2 - 2. Let c(j) = 5*j**2 - j + 18. Let n(g) = c(g) + 6*z(g). Factor n(h).
-(h - 2)*(h + 3)
Let y(w) be the first derivative of 1/9*w**6 - 5 - 4/9*w**3 + 2/3*w**4 - 4/3*w + 8/15*w**5 - 5/3*w**2. Factor y(r).
2*(r - 1)*(r + 1)**3*(r + 2)/3
Solve 3*a**2 + 6*a + 1/2*a**3 + 4 = 0 for a.
-2
Solve 2*a + 6*a**3 + 3*a**4 + 38941 - 27*a**2 - 38917 - 8*a = 0.
-4, -1, 1, 2
Let w(h) be the third derivative of -h**6/1980 - 7*h**3/6 + 19*h**2. Let n(x) be the first derivative of w(x). Factor n(t).
-2*t**2/11
Let s(h) = -3*h + 13. Let p be s(3). Find g, given that -27*g**3 + 127*g**4 - 82*g**4 + 66*g**5 - p*g**2 - 2*g**2 = 0.
-1, -2/11, 0, 1/2
Factor -55*a**3 - 123 - 5*a**4 + 123 - 95*a**2 - 45*a.
-5*a*(a + 1)**2*(a + 9)
Suppose 47*r - 12 = 41*r. Let f = -145/2 + 74. Determine c, given that -7/4*c**r + f*c - 3/4*c**3 + 0 = 0.
-3, 0, 2/3
Let j(k) be the first derivative of 0*k**5 + 0*k**2 + 0*k - 15/4*k**4 + 5/6*k**6 - 10/3*k**3 + 25. Find m such that j(m) = 0.
-1, 0, 2
Let u(p) be the third derivative of 3*p**8/560 - 2*p**7/105 + 13*p**6/600 - p**5/150 - 16*p**2 + 6*p. Factor u(w).
w**2*(w - 1)**2*(9*w - 2)/5
Let f(v) = -v**2 - 10*v + 30. Let d be f(-13). Let y be (5/d)/(25/(-30)). Suppose -y*n**2 - 32/3 + 16/3*n = 0. Calculate n.
4
Let y(b) = -4*b - 14. Let a(x) = -1. Let s(j) = -2*a(j) + y(j). Let n be s(-5). Suppose -3*c**2 - c**5 - 10*c**4 + n*c**4 + c + 5*c**2 = 0. Calculate c.
-1, 0, 1
Let p(w) be the second derivative of w**5/4 + 65*w**4/6 + 350*w**3/3 - 980*w**2 - 172*w. Solve p(y) = 0.
-14, 2
Let j(n) be the first derivative of -n**4/4 - 3*n**3 + 5*n**2 + 5*n - 5. Let f 