-5*t(h) + 32*y(h). Suppose f(o) = 0. What is o?
-1, 2
Factor 6 - 290*g**3 - 20*g**2 + 6 + 139*g**3 + 143*g**3 + 16*g.
-4*(g - 1)*(g + 3)*(2*g + 1)
Let f(i) = i - 3. Let d(h) = h**2 + 3*h - 12. Let l(c) = d(c) - 4*f(c). Factor l(g).
g*(g - 1)
Let u(w) be the third derivative of -w**5/300 + 5*w**4/12 - 125*w**3/6 - 715*w**2. Factor u(c).
-(c - 25)**2/5
Let 8*j**3 + 0 + 4/3*j**5 + 32/3*j**4 + 100/3*j - 160/3*j**2 = 0. What is j?
-5, 0, 1
Let m = 13 - 11. Factor -2*h**2 + 19 - m*h - 32 + 15 + 2*h**3.
2*(h - 1)**2*(h + 1)
Let s(x) be the third derivative of -7*x**7/135 + 133*x**6/108 - 1066*x**5/135 + 265*x**4/27 - 16*x**3/3 + 646*x**2. Find w, given that s(w) = 0.
2/7, 4, 9
Let y(r) be the second derivative of -r**7/3024 - r**6/864 + 5*r**4/4 + r. Let j(t) be the third derivative of y(t). Factor j(i).
-5*i*(i + 1)/6
Let v be 2 + -5 + -4 + 11. Suppose -52*q - 28*q**3 - 16 + 5*q**4 - 21*q**2 - 39*q**2 - 9*q**v = 0. Calculate q.
-4, -1
Find x such that -2*x**3 - 226*x + 12*x**2 + 11*x**3 + 181*x = 0.
-3, 0, 5/3
Let c(j) be the third derivative of 1/8*j**4 + 0*j**5 + 0*j - 14*j**2 + 0*j**3 - 1/40*j**6 + 0. Factor c(b).
-3*b*(b - 1)*(b + 1)
Let w(l) be the second derivative of -1/32*l**4 + 1/16*l**3 - 6*l - 1/16*l**2 + 0 + 1/160*l**5. Factor w(m).
(m - 1)**3/8
Suppose o = -4*j + 12, 4*o + 2 + 34 = 5*j. Let u be 0 - o - 56/16. Factor u*f + 1/4*f**4 + 0 - 1/2*f**3 - 1/4*f**2.
f*(f - 2)*(f - 1)*(f + 1)/4
Let q(l) be the third derivative of -l**8/1008 - l**7/1260 + 13*l**6/720 + l**5/180 - 5*l**4/36 + 2*l**3/9 + 21*l**2 - 9*l. Solve q(j) = 0 for j.
-2, 1/2, 1, 2
Let u(f) be the first derivative of 60*f**2 + 45*f + 10*f**4 - 26 + 110/3*f**3 + f**5. Factor u(s).
5*(s + 1)**2*(s + 3)**2
Let k(q) = -q**2 + 2*q + 4. Let n be k(3). Let v be 435/812 + n/((-4)/(-3)). Let v*t**2 + 3/7*t**3 + 3/7 + 9/7*t = 0. Calculate t.
-1
Let g = 441/856 - 15/107. Determine d so that g*d**4 + 0 - 21/8*d**3 + 45/8*d**2 - 27/8*d = 0.
0, 1, 3
Let x = 38 + -56. Let o = -16 - x. Suppose -6*y**2 + 5*y**3 - y**3 + 4*y**o = 0. Calculate y.
0, 1/2
Let n(f) = -7*f**2 - 10*f - 2. Let b(y) = -8*y**2 - 11*y - 2. Let g(z) = -5*b(z) + 6*n(z). Find q such that g(q) = 0.
-2, -1/2
Suppose -48*n**3 - 15*n**2 + 145*n**3 - 48*n**3 - 44*n**3 = 0. What is n?
0, 3
Let v(s) = -s**4 - s**2 - 2*s - 3. Let j(k) = 4*k**3 + 5*k**2 + 2*k + 10. Let f(o) = -j(o) - 3*v(o). Factor f(l).
(l - 1)**2*(l + 1)*(3*l - 1)
Let i = 1997 + -5989/3. Determine r so that 2/3*r**4 - 10/3*r - 4/3 + i*r**3 - 2*r**2 = 0.
-1, 2
Factor -3*r**2 + 4119*r - 4*r**2 - 4071*r + 4*r**2 - 117.
-3*(r - 13)*(r - 3)
Let w be (-1 - -19) + 10488/(-608). Factor 1/4*x**3 - 1/4*x**2 - 5/4*x - w.
(x - 3)*(x + 1)**2/4
Let j(m) = m**3 - 8*m**2 + 5. Let h be j(8). Solve -3*g**h + 2*g**5 + 6*g**5 + 3*g**4 + 2*g**4 = 0.
-1, 0
Let b(y) be the second derivative of -y**5/210 + y**4/14 - 23*y**3/63 + 5*y**2/7 - 63*y. Find t, given that b(t) = 0.
1, 3, 5
Solve -10 - 1/4*h**3 - 11*h - 7/2*h**2 = 0.
-10, -2
Let y(s) be the second derivative of -3*s**5/20 + 9*s**4/4 - 10*s**3 + 18*s**2 + 3*s. Factor y(x).
-3*(x - 6)*(x - 2)*(x - 1)
Solve 198/7 + 3/7*i**2 - 51/7*i = 0 for i.
6, 11
Let f(s) be the first derivative of 1/15*s**6 + 6/25*s**5 + 1/5*s**4 + 11 - 2/5*s - 4/15*s**3 - 3/5*s**2. Let f(w) = 0. Calculate w.
-1, 1
Let o(u) = u**3 - 6*u**2 - 54*u + 329. Let n be o(7). Determine a, given that -1/2*a**4 + n + 0*a**3 + 1/2*a**2 + 0*a = 0.
-1, 0, 1
Let r(p) be the third derivative of p**8/112 + p**7/35 + p**6/40 - 1017*p**2. Factor r(m).
3*m**3*(m + 1)**2
Let s(q) be the first derivative of -q**7/160 + 3*q**6/160 - q**5/80 - 5*q**3/3 + q - 13. Let n(j) be the third derivative of s(j). Find c, given that n(c) = 0.
0, 2/7, 1
Suppose -4*y = 39 + 45. Let o be 2*(7/y - 8/(-18)). Factor o*s**3 + 0 - 2/3*s + 4/9*s**2.
2*s*(s - 1)*(s + 3)/9
Let y = -10/33 - -113/264. Let z(x) be the third derivative of -1/40*x**6 + y*x**4 + 1/10*x**5 - x**2 + 0 - x**3 + 0*x. Determine l, given that z(l) = 0.
-1, 1, 2
Let m(a) = -6*a**4 - 40*a**3 + 104*a**2 + 48*a. Let j(x) = 7*x**4 + 41*x**3 - 104*x**2 - 48*x. Let d(t) = 4*j(t) + 3*m(t). Suppose d(c) = 0. Calculate c.
-6, -2/5, 0, 2
Let k(c) be the first derivative of c**6/3 + 6*c**5/5 + c**4/2 - 2*c**3 - 2*c**2 - 273. Suppose k(a) = 0. Calculate a.
-2, -1, 0, 1
Let r(c) be the third derivative of c**6/210 + c**5/105 + 255*c**2. Solve r(j) = 0.
-1, 0
Let o(u) be the first derivative of 5*u**9/3024 - u**8/168 + u**7/168 + u**3 + 18. Let l(x) be the third derivative of o(x). Factor l(f).
5*f**3*(f - 1)**2
Let w(j) be the first derivative of j**4 + 2*j**2 + 0*j + 4 + 8/3*j**3. Factor w(f).
4*f*(f + 1)**2
Let h(m) be the first derivative of -m**8/10080 - m**7/1260 - m**6/432 - m**5/360 + 4*m**3 - 10. Let f(s) be the third derivative of h(s). Factor f(c).
-c*(c + 1)**2*(c + 2)/6
Let v(g) = 10*g**5 - 8*g**3 - 2*g - 6. Let m(y) = y**5 - y - 1. Let q(o) = -6*m(o) + v(o). Factor q(d).
4*d*(d - 1)**2*(d + 1)**2
Let t = 924 + -17552/19. Suppose 10/19*h + t + 2/19*h**3 + 8/19*h**2 = 0. What is h?
-2, -1
Factor -25/4*b**2 + 24*b - 5 - 9/4*b**3.
-(b - 2)*(b + 5)*(9*b - 2)/4
Let x(k) = k. Let j(v) = -v**5 - 2*v**4 + 3*v**3 - 5*v. Let p(y) = -2*j(y) - 10*x(y). Determine w, given that p(w) = 0.
-3, 0, 1
Let u = -66/199 - -1657/796. Solve 23/4*a**4 - u*a**5 - 55/4*a**2 + 3 + 15/4*a**3 - 7*a = 0.
-1, 2/7, 2, 3
Let b be (-320)/(-560) + 17/(-42). Let o(x) be the third derivative of 0*x + 0 - 1/60*x**5 + 11*x**2 - 2/3*x**3 - b*x**4. Let o(i) = 0. What is i?
-2
What is s in 33*s**3 - 5*s**3 - 20*s**4 - 28*s + 54*s**2 - 7*s**2 - 3*s**2 - 24 = 0?
-1, -3/5, 1, 2
Let y(v) be the second derivative of v**5/40 - 2*v**4/3 + 41*v**3/12 - 13*v**2/2 - 87*v + 2. Factor y(t).
(t - 13)*(t - 2)*(t - 1)/2
Let t(w) = w**2 - 6*w - 4. Let i be t(7). Find b such that 4*b**2 - 190*b**3 + 95*b**i + 91*b**3 = 0.
0, 1
Let h(i) = 12*i**4 + 36*i**3 - 5*i**2 - 29*i - 7. Let v(s) = -4*s**4 - 12*s**3 + 2*s**2 + 10*s + 2. Let l = 25 - 32. Let m(k) = l*v(k) - 2*h(k). Factor m(b).
4*b*(b - 1)*(b + 1)*(b + 3)
Find r, given that 0 + 0*r + 0*r**2 + 21/5*r**4 - 18/5*r**3 + 9/5*r**5 = 0.
-3, 0, 2/3
Suppose 2*m + 25 = 4*m - 3*a, 7 = 2*m + 3*a. Suppose -5*c - 20 = -x, -2*c + 4*c + m = -2*x. Factor 0 + 4*d - 6*d**2 + 2*d**3 + x + 0*d.
2*d*(d - 2)*(d - 1)
Determine y, given that 33/4*y**2 + 64 + 1/4*y**3 + 72*y = 0.
-16, -1
Let p = 27 - 22. Let i be (-2)/p - (-102)/30. Factor 0 + 12/5*d**4 + 1/5*d + 13/5*d**i + 6/5*d**2 + 4/5*d**5.
d*(d + 1)**2*(2*d + 1)**2/5
Find a, given that 11*a - 40*a - a**3 - 252 - 19*a**2 - 91*a = 0.
-7, -6
Let f(y) be the second derivative of y**7/1680 + 7*y**6/720 - y**3/6 + 16*y. Let r(j) be the second derivative of f(j). Factor r(n).
n**2*(n + 7)/2
Suppose 3*l + 4*a - 14 = 0, 0 = 2*a - a - 2. Factor 0*n**3 + l*n**5 + 4*n**5 + 8*n**4 - 2*n**5 + 4*n**3.
4*n**3*(n + 1)**2
Let k be 20/(-228)*-3*(-12)/(-10). Factor -8/19 - 2/19*d**3 + k*d**2 + 0*d.
-2*(d - 2)**2*(d + 1)/19
Let i(l) be the third derivative of l**7/315 - l**6/90 + l**4/18 - l**3/9 + 10*l**2 - 2. Solve i(t) = 0 for t.
-1, 1
Factor -5*u**2 - 33611*u + 33617*u + 3*u**2 + 56.
-2*(u - 7)*(u + 4)
Let p = 667/20 - 4609/140. Factor -3/7*n**2 - p*n**3 + 3/7*n**4 + 0 + 0*n + 3/7*n**5.
3*n**2*(n - 1)*(n + 1)**2/7
Let b be (-5 - (1 + -5))*-17. Suppose -b = -5*y - 2. Factor -1 + 5 - 4 + 3*f**y - 3*f.
3*f*(f - 1)*(f + 1)
Let z(g) = 37*g**2 - 2*g + 1. Let i be z(-1). Let t = i - 40. What is d in -1/8*d**2 + t*d + 1/8 = 0?
-1, 1
Let x(l) be the second derivative of 2/15*l**6 - 4*l**2 + 3*l - 2*l**3 + 3/5*l**5 + 1/3*l**4 + 0. Factor x(n).
4*(n - 1)*(n + 1)**2*(n + 2)
Let z(d) be the second derivative of d**7/126 - d**6/30 + d**5/60 + d**4/12 - d**3/9 + 2*d + 24. Factor z(o).
o*(o - 2)*(o - 1)**2*(o + 1)/3
Let w(k) = 3*k**3 + k**2. Let f be w(-1). Let l be (-14 - (-2)/f)*(-189)/630. Factor l*g - 6*g**2 + 3/2.
-3*(g - 1)*(4*g + 1)/2
Let u(r) = 3*r**5 + 16*r**4 - r**3 - 9*r**2 + 5*r - 7. Let l(m) = -m**5 - 8*m**4 + m**3 + 5*m**2 - 3*m + 3. Let i(y) = 7*l(y) + 3*u(y). Let i(j) = 0. What is j?
-1, 0, 1, 3
Let c(y) be the third derivative of 0 - y**2 - 1/330*y**5 + 0*y - 1/11*y**3 + 1/33*y**4. Find b, given that c(b) = 0.
1, 3
Let x(a) = a**2 - 69*a + 263. Let g be x(4). Factor -1/5*l**4 + 2/5*l**2 + 12/5*l + 8/5 - 3/5*l**g.
-(l - 2