*h**3/33 + 8*h**2/11 - 8*h/11 + 6. Suppose a(s) = 0. What is s?
-2, 2/5
Let j(n) = -10*n**3 - 4*n**2 - 10*n - 12. Let w(x) = x**3 + x + 1. Suppose -3*g - q + 9 = g, -11 = 4*g - 3*q. Let f(s) = g*j(s) + 12*w(s). Factor f(r).
2*r*(r - 1)**2
Let c(r) be the third derivative of -r**5/30 + 5*r**4/12 - 4*r**3/3 + 9*r**2. Factor c(o).
-2*(o - 4)*(o - 1)
Let i be (6/(-12)*(-4)/15)/4. Let l(z) be the third derivative of 0*z**3 - 3/50*z**5 - 3*z**2 - i*z**4 + 0*z - 1/25*z**6 - 1/105*z**7 + 0. Factor l(g).
-2*g*(g + 1)**2*(5*g + 2)/5
Suppose 26/3*d**3 + 16/9*d**4 + 34/9*d**2 + 4/9*d - 32/9*d**5 + 0 = 0. What is d?
-1, -1/4, 0, 2
Let g = 57 - 53. Let z(y) be the first derivative of -1/2*y + 2 - 1/10*y**5 + 1/3*y**3 + 1/12*y**6 - 1/4*y**g + 1/4*y**2. Factor z(r).
(r - 1)**3*(r + 1)**2/2
Let u be (0 + -2)*7/42*-2. Determine k so that -8/3 + 8/3*k - u*k**2 = 0.
2
Let a(g) = g**2 - g + 5. Let h be a(0). Let x(u) be the second derivative of 0 - 1/75*u**6 - 1/30*u**4 - u + 0*u**3 + 0*u**2 - 1/25*u**h. Factor x(n).
-2*n**2*(n + 1)**2/5
Let c(p) be the second derivative of -7/110*p**5 + 0*p**2 + 0 - 8*p - 2/33*p**3 - 3/22*p**4. Factor c(o).
-2*o*(o + 1)*(7*o + 2)/11
Let m(n) be the second derivative of 9/4*n**2 - 3*n + 0 + 1/24*n**4 + 1/2*n**3. Factor m(f).
(f + 3)**2/2
Suppose -2*n + 4*o = 7*o - 20, n = o. Factor -6*c**3 - 3/2*c**n - 9*c**2 - 6*c - 3/2.
-3*(c + 1)**4/2
Let p be ((-105)/10)/((-3)/16). Let d be 3 - (p/12 - 2). Let n**4 + 0 - n**3 - 1/3*n**5 + d*n**2 + 0*n = 0. What is n?
0, 1
Let j(y) = 5*y**2 + 12*y - 11. Let q(a) = 6 + 3*a - 1 - 15*a + 7 - 4*a**2. Let l(t) = 6*j(t) + 7*q(t). Factor l(w).
2*(w - 3)**2
Let s(x) be the third derivative of x**5/240 - x**4/96 - 4*x**2. Factor s(p).
p*(p - 1)/4
Let u(x) be the third derivative of -x**8/42 + 2*x**7/21 + 2*x**6/15 - 19*x**5/15 + 8*x**4/3 - 8*x**3/3 + 2*x**2 - 19. Let u(v) = 0. What is v?
-2, 1/2, 1, 2
Let l be (-25)/(-8) + -1 - (-21)/(-168). Solve 1/7*g**3 + 1/7*g + 0 - 2/7*g**l = 0.
0, 1
Let m = -23 - -23. Let g(f) be the third derivative of -1/24*f**4 + 1/60*f**5 - f**2 + 1/120*f**6 + m*f**3 + 0 - 1/210*f**7 + 0*f. Factor g(h).
-h*(h - 1)**2*(h + 1)
Suppose -4*y - 19 = -7. Let f be (y - -4)*(-4)/(-14). Factor -4/7*w**2 + 6/7*w**3 - f*w + 0.
2*w*(w - 1)*(3*w + 1)/7
Let y(t) be the third derivative of -t**8/5040 - t**7/1260 + 7*t**5/60 + 3*t**2. Let w(r) be the third derivative of y(r). Let w(s) = 0. Calculate s.
-1, 0
Let q be -3 - (-2 - -1) - -1. Let a be q - 0 - 3/(-1). Find i such that 2/5*i**a + 0 - 4/5*i = 0.
0, 2
Let n be -2 + 1/(6/15). Suppose 12 = 4*a + 2*a. Find h such that -1/2*h + 3/2*h**4 + 1 - 5/2*h**a + n*h**3 = 0.
-1, 2/3, 1
Let i(l) be the second derivative of -l + 1/105*l**6 + 0 - 1/21*l**3 - 1/42*l**4 + 1/70*l**5 + 0*l**2. What is t in i(t) = 0?
-1, 0, 1
Let n(o) be the third derivative of -o**8/560 - o**7/280 + 2*o**3/3 + o**2. Let j(q) be the first derivative of n(q). Factor j(p).
-3*p**3*(p + 1)
Let a(y) be the third derivative of -y**5/240 - 5*y**4/48 - 25*y**3/24 + 38*y**2. Factor a(s).
-(s + 5)**2/4
Suppose -l + 2 = -2*n - n, 3*n - 4 = -2*l. Let b be n/((1 + 2)/(-3)). Solve 0*a**2 + 2/11*a + b - 2/11*a**3 = 0.
-1, 0, 1
Let h(f) = 4*f**2 - 4*f**2 + 6 + 4*f**2. Suppose -3*m = -m - 34. Let y(o) = 11*o**2 + 17. Let v(l) = m*h(l) - 6*y(l). Suppose v(k) = 0. What is k?
0
Let u be 2/(-12) - (-24)/16. Suppose 0 = a + 2*b, -3*a = 3*b - 5*b. Let a + 2/3*g**2 - u*g = 0. Calculate g.
0, 2
Factor 116*v**3 + 38*v**2 - 22*v**2 + 27*v**5 + 22*v**5 + 40*v**4 + 184*v**4.
v**2*(v + 4)*(7*v + 2)**2
Let x(o) be the second derivative of 3*o**5/20 + o**4/2 - o**3/2 - 3*o**2 + 10*o. Factor x(b).
3*(b - 1)*(b + 1)*(b + 2)
Let m be (-2)/((11/34)/1). Let f = m - -472/55. Factor -f*c + 8/5 + 6/5*c**2 - 1/5*c**3.
-(c - 2)**3/5
Let h(n) = -n**4 - n**3 + n - 1. Suppose -2*x = -x - 2. Let f(c) = -1 - 26*c**3 + 4*c + 2*c**5 - 3 - x*c**4 + 22*c**3. Let b(q) = -f(q) + 4*h(q). Factor b(l).
-2*l**4*(l + 1)
Let a(g) = 5*g - 2. Let q be a(1). Determine o so that 0 + 2*o**2 + 2/5*o + 8/5*o**q = 0.
-1, -1/4, 0
Suppose 2*x - u - 2 = 0, -2 = 3*x - u - 3*u. Find l, given that 7*l**x - l**2 + l + l - 4*l**2 = 0.
-1, 0
Let q = 87 + -87. Let s(a) be the third derivative of 0 + 0*a**4 - 1/240*a**6 + 0*a + q*a**3 - 1/210*a**7 + 0*a**5 + 3*a**2 - 1/672*a**8. Factor s(b).
-b**3*(b + 1)**2/2
Let i(u) be the second derivative of -u**7/945 - u**6/540 + u**5/270 + u**4/108 - 2*u**2 + 3*u. Let m(l) be the first derivative of i(l). Factor m(d).
-2*d*(d - 1)*(d + 1)**2/9
Suppose 32*o - 25*o = 14. Suppose 1/3*j**o + 0 + 0*j + j**3 = 0. Calculate j.
-1/3, 0
Suppose -4*d + 2 = 2*v - 10, -5*v + 5*d = 0. Let t be ((-2)/6)/(2/(-24)). Let t*h**2 + 4*h**2 - 8*h + h**2 - 3*h**v - 8 = 0. What is h?
-2/3, 2
Let f(i) = i**3 - 2*i**2 - i - 3. Let r be f(3). Suppose -a + 8 = r*a. Factor -a*n**5 - 8*n + 4*n**5 + 2*n - 2 + 3*n**3 - 4*n**2 + 6*n**4 + n**3.
2*(n - 1)*(n + 1)**4
Let y(c) = c**2 - 3*c - 5. Let o be y(5). Let u(j) = -5*j**4 - 3*j**3 - 2. Let a(p) = 11*p**4 + 6*p**3 + 5. Let x(h) = o*u(h) + 2*a(h). Factor x(m).
-3*m**3*(m + 1)
Let k = 40 + -37. Let a(d) be the second derivative of 0*d**2 + 1/105*d**6 + 1/14*d**4 + d - 1/21*d**k - 3/70*d**5 + 0. Factor a(s).
2*s*(s - 1)**3/7
Let f(o) be the first derivative of 2/35*o**5 - 1/14*o**4 + 0*o - 2/21*o**3 + 1/7*o**2 - 4. Solve f(y) = 0 for y.
-1, 0, 1
Suppose 6*r - 4*r = -4*x - 2, 0 = -3*r - 15. Factor 4/3 + 10/3*s**x - 14/3*s.
2*(s - 1)*(5*s - 2)/3
Let r(s) be the second derivative of -1/6*s**4 + 0 + 0*s**2 - 1/3*s**3 - 3*s. Determine i, given that r(i) = 0.
-1, 0
Let v(c) = -3*c**2 + 6*c - 3. Let m(g) = 3*g**2 - 7*g + 0*g - 3 + 7. Let d(s) = -3*m(s) - 4*v(s). Factor d(y).
3*y*(y - 1)
Let p(o) be the third derivative of o**7/630 - o**5/90 + o**3/18 + 9*o**2. Factor p(j).
(j - 1)**2*(j + 1)**2/3
Let k be (-2)/(-5) - 2/15. Let u(g) be the first derivative of -2 - 4/25*g**5 + 0*g**4 + k*g**3 - 1/5*g**2 + 0*g + 1/15*g**6. Factor u(w).
2*w*(w - 1)**3*(w + 1)/5
Let x = 2 + 0. Determine s, given that -4*s**2 + 5*s**2 + 0*s**4 + 0*s**x - s**4 + s**3 - s = 0.
-1, 0, 1
Let t(s) = 2*s - 19. Let c be t(11). Suppose -1/4*l**c + 0 + 1/4*l + 0*l**2 = 0. What is l?
-1, 0, 1
Suppose 0 = -11*r + 2*r. Factor r - 2/5*m**2 + 2/5*m**5 + 0*m + 2/5*m**4 - 2/5*m**3.
2*m**2*(m - 1)*(m + 1)**2/5
Let x(d) be the third derivative of d**5/30 - d**4/12 - 2*d**2. Factor x(c).
2*c*(c - 1)
Suppose -3*y - 5 + 18 = -5*k, 3 = 3*y. Let w be (k + (-3 - -4))*0. Determine h, given that w*h**3 + 0*h**2 + 0 + 0*h - 2/5*h**4 = 0.
0
Let u(o) be the third derivative of 1/420*o**6 + 0 + 0*o**3 + 0*o + 1/105*o**5 - 3*o**2 + 1/84*o**4. Determine p, given that u(p) = 0.
-1, 0
Let g(s) be the second derivative of -3/10*s**5 + 3/20*s**6 + 1/6*s**4 + 0*s**2 + 0*s**3 - 4*s + 0. Factor g(v).
v**2*(3*v - 2)**2/2
Let t = 9 - 5. Suppose 5*x = 4*a + 23, -2*a - 2 = -t*x - 7*a. Factor -6 + 18*p + 9*p**x - 3/2*p**4 - 39/2*p**2.
-3*(p - 2)**2*(p - 1)**2/2
Determine i so that 3*i**2 + 1/5*i**3 - 16/5*i + 0 = 0.
-16, 0, 1
Let n = 2/65 + 41/780. Let t(z) be the third derivative of -1/80*z**5 + 3*z**2 + 0 + 1/6*z**3 + 0*z + 3/160*z**6 - n*z**4. Determine i, given that t(i) = 0.
-1, 2/3
Let s(r) be the second derivative of -3*r**6/20 - 3*r**5/5 - r**4/8 + 2*r**3 + 3*r**2 - 16*r. Suppose s(t) = 0. Calculate t.
-2, -1, -2/3, 1
Let o be (((-8)/(-70))/1)/(31/310). Determine b so that 2/7 - o*b + 6/7*b**2 = 0.
1/3, 1
Let n(s) be the first derivative of 1/6*s**3 + 1/2*s**2 + 5 + 1/2*s. Determine d, given that n(d) = 0.
-1
Let h be ((-8)/6)/((-66)/9). Determine o so that -4/11*o + h + 2/11*o**2 = 0.
1
Let d(x) = -3*x**3 + 16*x**2 - 9*x + 6. Let f(n) = -2*n**3 + 15*n**2 - 10*n + 5. Let o(s) = -3*d(s) + 4*f(s). Let r be o(-13). Factor -2 - 1/2*j**r + 2*j.
-(j - 2)**2/2
Let f(h) = h**3 + 10*h**2 + 9*h + 3. Suppose 5*k = -2*i - 33, 2*i + 2*k - 3*k = -15. Let v be f(i). Factor 2*q**5 - 3*q**4 + q**4 - 4*q**v + 2*q**3 + 2*q**2.
2*q**2*(q - 1)**2*(q + 1)
Suppose -2*u + 3 = -1. Let r(t) be the first derivative of 7/4*t**2 + 4/3*t**3 + 1/2*t - u*t**4 + 1. Factor r(y).
-(y - 1)*(4*y + 1)**2/2
Let r(m) be the first derivative of -m**5/40 + m**4/24 + m**3/12 - m**2/4 - 3*m - 4. Let h(d) be the first derivative of r(d). Let h(u) = 0. Calculate u.
-1, 1
Let m(n) = -15*n**3 + 12*