or z(i).
(i - 8)**2/3
Let v(g) be the second derivative of -g**6/75 - g**5/50 + g**4/10 + g**3/15 - 2*g**2/5 - 4*g. What is y in v(y) = 0?
-2, -1, 1
Let g(a) be the first derivative of -2 - 1/16*a**4 - 1/12*a**3 + 1/20*a**5 + 1/8*a**2 + 0*a. Factor g(r).
r*(r - 1)**2*(r + 1)/4
Let g(j) be the first derivative of -j**6/12 - j**5/2 - 5*j**4/4 - 5*j**3/3 - 5*j**2/4 - j/2 + 5. Factor g(v).
-(v + 1)**5/2
Suppose 3*b = 13 - 1. Factor 3*y**3 - b*y**3 - y**3 + y**3.
-y**3
Let m(c) = 16*c**3 - 10*c**2 - 6*c. Let w(u) = -3*u**3 + 2*u**2 + u. Let p(h) = 4*m(h) + 22*w(h). Factor p(b).
-2*b*(b - 1)**2
Let f(d) be the second derivative of -d**9/35280 - d**8/7840 + d**6/840 + d**5/280 + 2*d**4/3 + 5*d. Let k(h) be the third derivative of f(h). Factor k(g).
-3*(g - 1)*(g + 1)**3/7
Let f(p) be the third derivative of -125*p**6/3 - 25*p**5 - 25*p**4/4 - 5*p**3/6 - 31*p**2. Suppose f(u) = 0. Calculate u.
-1/10
Factor 0 - 2/7*b**4 + 4/7*b + 8/7*b**3 - 10/7*b**2.
-2*b*(b - 2)*(b - 1)**2/7
Let a(l) be the second derivative of l**4/60 - l**2/10 - 5*l. Factor a(p).
(p - 1)*(p + 1)/5
Factor -2/5*h**3 - 4/5*h**2 + 0 + 0*h.
-2*h**2*(h + 2)/5
Let q be (-15)/60 + 9/4. Let p(g) be the third derivative of 0 + 0*g + g**q - 1/108*g**4 + 0*g**3 + 1/270*g**5. Factor p(s).
2*s*(s - 1)/9
Let v(x) = -x**2 - 2*x + 4. Let a be v(-3). Let h = a - -2. Find k such that 2*k**3 + k**2 - 1 - 2*k + k - k**h = 0.
-1, 1
Let a = 7 + -7. Suppose a*m + 6 = 3*m. Suppose -3*g**4 - 6*g**m - 19*g**2 + 15*g**3 - 6 - 2*g**2 + 21*g = 0. Calculate g.
1, 2
Let b(s) be the third derivative of -s**7/147 + 3*s**6/70 - 4*s**5/35 + s**4/6 - s**3/7 - s**2 - 12*s. Suppose b(g) = 0. What is g?
3/5, 1
Solve -5*s**2 - 3*s + 23*s - 159 + 159 = 0.
0, 4
Let x be 8/3 + 10/(-15). Factor 1 + z**2 - 11 + x*z**2 + 7.
3*(z - 1)*(z + 1)
Let q(z) be the first derivative of -z**5 + 5*z**4/4 - 6. Factor q(l).
-5*l**3*(l - 1)
Let i = -10/11 + 31/22. Let i + a + 1/2*a**2 = 0. What is a?
-1
Let u(i) be the first derivative of 5*i**3/3 + 35*i**2/2 - 40*i + 48. Factor u(o).
5*(o - 1)*(o + 8)
Let q be (-3)/(-5) - 62/120. Let p(l) be the third derivative of 1/10*l**5 + 0 + 0*l**3 + 0*l - 2*l**2 - q*l**4. Determine b, given that p(b) = 0.
0, 1/3
Suppose 4*r - 18 + 2 = 0. Suppose -r*y + 2*y = 0. Find o such that 3/4*o**2 - 3/4*o**3 + y - 1/4*o + 1/4*o**4 = 0.
0, 1
Let u(d) be the second derivative of d**5/120 - d**4/48 + 5*d**2/2 - 6*d. Let i(s) be the first derivative of u(s). Factor i(l).
l*(l - 1)/2
Suppose 46/5*x**3 - 6/5*x + 8/5*x**5 - 2*x**2 - 38/5*x**4 + 0 = 0. Calculate x.
-1/4, 0, 1, 3
Factor -55*b**4 + 4*b - 4*b + 54*b**3 + b**4 - 8*b.
-2*b*(3*b - 2)**2*(3*b + 1)
Let b(d) be the first derivative of 3/8*d**4 + 3*d - 1 - 3/10*d**5 - 15/4*d**2 + 3/2*d**3. Factor b(c).
-3*(c - 1)**3*(c + 2)/2
Factor 2/13*t**2 - 4/13 + 2/13*t.
2*(t - 1)*(t + 2)/13
Suppose -4*w = -w - 6. Let c = 0 + w. Factor 1/2*z**c + 0 - 1/2*z**3 + 0*z.
-z**2*(z - 1)/2
Let r = 1/6 + 40/3. Factor 27/2*l**3 - r*l - 3*l**2 + 3.
3*(l - 1)*(l + 1)*(9*l - 2)/2
What is y in 1 - 1 + 10*y**4 + 5*y**5 - 8*y**4 - 2*y**2 - 5*y**3 = 0?
-1, -2/5, 0, 1
Let q = 45 - 43. Suppose r - 5/2*r**q + 0 = 0. What is r?
0, 2/5
Let b = -587/9579 - 1/309. Let a = 35/62 + b. Find u, given that -a*u**2 + 0*u + 1/2*u**3 + 0 = 0.
0, 1
Let h(w) be the first derivative of -w**5/5 - w**4/4 + w**3 + w**2/2 - 2*w - 5. Solve h(s) = 0.
-2, -1, 1
Factor 8/5*t**4 + 2/5*t**3 + 0*t**2 + 0*t + 0.
2*t**3*(4*t + 1)/5
Let g(l) be the second derivative of l**7/98 + l**6/70 + 9*l. Factor g(z).
3*z**4*(z + 1)/7
Factor 3*y**2 + 3 - 14*y + 26*y + 4 + 2.
3*(y + 1)*(y + 3)
Let c(v) = 7*v**4 - 6*v**3 - 2*v**2 - 5. Suppose 0 = 4*q + 5 + 19. Let d(w) = 15*w**4 - 13*w**3 - 4*w**2 - 11. Let b(k) = q*d(k) + 13*c(k). Factor b(y).
(y - 1)**2*(y + 1)**2
Let p(k) be the third derivative of k**7/420 + 5*k**3/6 + 4*k**2. Let o(n) be the first derivative of p(n). What is a in o(a) = 0?
0
Let u(r) = r**2 - 3*r - 10. Let q be u(-3). Solve 6*y**2 + 10*y - 3 + 4*y**2 - q*y**2 + 11 = 0.
-4, -1
Let a be 12/9*(-3)/(-14). Solve 4/7*x**3 - 4/7*x**2 + a - 2/7*x**5 + 2/7*x**4 - 2/7*x = 0 for x.
-1, 1
Let w(f) be the second derivative of -f**4/78 + f**3/39 + 2*f**2/13 - 3*f. Find g such that w(g) = 0.
-1, 2
Let m = 7 + -8. Let i = 3 - m. Factor 0 - 1/3*v**3 - 1/3*v**2 + 0*v + 2/3*v**i.
v**2*(v - 1)*(2*v + 1)/3
Let h(x) = 4*x**4 - 4*x**3 + 2*x**2 + 4*x. Let k(v) = -v**4 + v**3 - v**2 - v. Let y(r) = -4*h(r) - 12*k(r). Determine o, given that y(o) = 0.
-1, 0, 1
Let h(x) be the first derivative of -x**7/420 - x**6/180 + x**5/60 + x**4/12 - 4*x**3/3 - 3. Let z(c) be the third derivative of h(c). Factor z(u).
-2*(u - 1)*(u + 1)**2
Determine k, given that 2/5*k**5 - 2*k**4 - 8/5*k**2 + 0*k + 16/5*k**3 + 0 = 0.
0, 1, 2
Let x(a) be the first derivative of 4/3*a**5 + 2/9*a**6 + 4/3*a**2 + 0*a + 3*a**4 - 1 + 28/9*a**3. Let x(g) = 0. What is g?
-2, -1, 0
Let l be (-2*(-2)/5)/(16/40). Let -6/5*w**l - 2*w + 2*w**3 + 8/5*w**4 - 2/5 = 0. What is w?
-1, -1/4, 1
Let k(p) be the third derivative of p**6/10 + p**5/4 + p**4/8 - 18*p**2. Factor k(g).
3*g*(g + 1)*(4*g + 1)
Let h(b) be the first derivative of -b**7/420 + b**6/240 + b**5/120 - b**4/48 - b**2 - 1. Let f(z) be the second derivative of h(z). Factor f(q).
-q*(q - 1)**2*(q + 1)/2
Let q = -1299 + 3899/3. Factor q*y**3 + 2/3 + 2*y**2 + 2*y.
2*(y + 1)**3/3
Let d = 1/11 - 14/275. Let a(s) be the second derivative of 0*s**4 - d*s**5 + 2*s + 2/15*s**3 + 0 - 1/5*s**2 + 1/75*s**6. Let a(i) = 0. Calculate i.
-1, 1
Let n(d) be the third derivative of d**8/26880 + d**7/3360 - d**6/2880 - d**5/160 + d**4/12 + 7*d**2. Let m(t) be the second derivative of n(t). Factor m(v).
(v - 1)*(v + 1)*(v + 3)/4
Let h(v) be the second derivative of v**7/3780 + v**6/1620 + v**3/6 - 2*v. Let f(w) be the second derivative of h(w). Factor f(a).
2*a**2*(a + 1)/9
Let k(v) = v**3 + 6*v**2 + 5*v - 4. Let s be k(-5). Let y be 2/3 - s/(-6). What is r in y*r + 0*r - 2*r**3 - 2*r + 4*r**2 = 0?
0, 1
Let y(r) be the third derivative of r**5/360 - r**3/9 - 10*r**2. Factor y(c).
(c - 2)*(c + 2)/6
Find m such that 2/5*m**2 + 0 - 12/5*m = 0.
0, 6
Let j(u) = -u**2 - 18*u - 12. Let d be j(-17). Let q be ((-17)/(-17))/(d/2). Solve q*a + 3/5*a**2 - 1/5*a**4 + 0 + 0*a**3 = 0 for a.
-1, 0, 2
Suppose -4*r = -r. Let n = 2 - r. Factor 1 + 2*o**4 - 7*o**4 + 4*o**2 + 2*o - 2*o**3 + 2*o - n*o**5.
-(o - 1)*(o + 1)**3*(2*o + 1)
Let b = 130 - 127. Let p(k) be the second derivative of k + 0 - 1/8*k**4 + 0*k**2 - 1/2*k**b. Solve p(o) = 0 for o.
-2, 0
Suppose 0 = 4*x + 23 + 5. Let z = x + 9. Factor -3 - 2*g**2 - g**z + 6*g + 0*g**2.
-3*(g - 1)**2
Let f(z) be the third derivative of -z**7/105 + z**6/120 + z**5/30 - z**4/24 - 11*z**2. Find u such that f(u) = 0.
-1, 0, 1/2, 1
Let a(p) = -p**3 + 8*p**2 + p - 6. Let d be a(8). Let w be d*1/4*0. Factor -z - 3*z + w*z + z**2 + 2*z.
z*(z - 2)
Let c(r) = 2*r**3 - 9*r**2 - 2*r + 9. Let v(k) = 3*k**3 - 13*k**2 - 3*k + 13. Let d(g) = -7*c(g) + 5*v(g). Suppose d(b) = 0. What is b?
-1, 1, 2
Let a(d) = d**3 + 29*d**2 + 27*d - 26. Let s be a(-28). Factor 3/4*h**4 + 0 + 0*h - 3/4*h**5 - 3/4*h**s + 3/4*h**3.
-3*h**2*(h - 1)**2*(h + 1)/4
Let r(n) = 4 - 1 - 2. Let l(v) = -v**2 + 2*v + 6. Let b(j) = 2*l(j) - 14*r(j). Factor b(a).
-2*(a - 1)**2
Factor 0 + 0*d**2 + 2/7*d - 4/7*d**3 + 0*d**4 + 2/7*d**5.
2*d*(d - 1)**2*(d + 1)**2/7
Let x = 0 + -6. Let w = 9 + x. Factor -t**4 + 2*t**2 - 6 + 2 + w.
-(t - 1)**2*(t + 1)**2
Factor 4/9*o**5 + 0 + 10/9*o**2 + 2/9*o + 14/9*o**4 + 2*o**3.
2*o*(o + 1)**3*(2*o + 1)/9
Let p(d) be the first derivative of 2/27*d**3 + 1/9*d**2 - 4/9*d - 3. Let p(a) = 0. Calculate a.
-2, 1
Suppose -8*o - 195 = -73*o. Solve 3 + 9/2*m**2 - 15/2*m - 3/2*m**4 + 3/2*m**o = 0 for m.
-2, 1
Let a(m) = -129*m**5 + 72*m**3 - 9*m**2 + 33*m + 33. Let c(g) = -16*g**5 + 9*g**3 - g**2 + 4*g + 4. Let d(w) = -4*a(w) + 33*c(w). Factor d(f).
-3*f**2*(f - 1)*(2*f + 1)**2
Let g(z) be the second derivative of z**8/2240 - z**7/280 + z**6/120 + 3*z**4/4 + 4*z. Let p(s) be the third derivative of g(s). Factor p(c).
3*c*(c - 2)*(c - 1)
Let v(c) be the first derivative of -c**3/15 + c**2/5 - c/5 - 2. Determine a so that v(a) = 0.
1
Let b(d) be the second derivative of d**8/5376 - d**7/840 + d**6/720 + 3*d**4/4 + 4*d. Let c(j) be the third d