))/((-4)/10). Let p(b) = m*y(b) + 2*j(b). Factor p(s).
-2*s**3*(3*s - 1)
Let l(k) be the second derivative of 0 - 1/3*k**3 - 1/2*k**2 - 4*k - 1/12*k**4. Factor l(c).
-(c + 1)**2
Let k = -857 + 859. Factor 5*a**k + 5/2*a**4 + 1/2 - 5*a**3 - 5/2*a - 1/2*a**5.
-(a - 1)**5/2
Factor -11/3*f**3 - 35/3*f**2 - 28/3*f - 4/3.
-(f + 1)*(f + 2)*(11*f + 2)/3
Suppose 0*r - r + 4*j + 8 = 0, 0 = r + 4*j. Let u(o) be the third derivative of 1/20*o**5 - o**2 + 0*o - o**3 + 1/8*o**r + 0. Factor u(b).
3*(b - 1)*(b + 2)
Let k = -151 - -155. Let j(b) be the first derivative of 33/20*b**5 + 3/8*b**6 + 45/16*b**k + 0*b + 3/4*b**2 + 9/4*b**3 - 2. Factor j(o).
3*o*(o + 1)**3*(3*o + 2)/4
Let h(p) be the second derivative of p**7/189 - p**6/135 + 2*p. Let h(j) = 0. What is j?
0, 1
Let c(i) = 3*i**3 - i**2 + i - 1. Let q be c(1). Factor 0 + 0*w + w**q + 0 - 2*w.
w*(w - 2)
Let x(b) be the first derivative of 2 + 3/4*b**2 + b + 1/6*b**3. Factor x(q).
(q + 1)*(q + 2)/2
Suppose -5*x = r - 27, 3*x + 18 = -r + 7*x. Let i(a) be the first derivative of -8/9*a + 2/9*a**3 + 1/18*a**4 + 1 + 0*a**r. Find p, given that i(p) = 0.
-2, 1
Let o(x) be the second derivative of 1/14*x**7 + 3/20*x**5 + 0 - 1/5*x**6 + 0*x**3 + 0*x**4 + 0*x**2 - 9*x. Factor o(r).
3*r**3*(r - 1)**2
Let x be 0/((-3 - -5)*-1). Factor x - 3/2*c**3 - 1/2*c**2 + 0*c.
-c**2*(3*c + 1)/2
Let x be 7/(-45) - (-2)/10. Let y = x + 37/180. Find j such that y*j**2 + j + 1 = 0.
-2
Let k(l) be the second derivative of l**4/21 + 8*l**3/21 + 8*l**2/7 - 3*l. Factor k(z).
4*(z + 2)**2/7
Let v(n) be the third derivative of -n**9/60480 + n**8/3360 - n**7/420 + n**6/90 - n**5/60 + 3*n**2. Let u(y) be the third derivative of v(y). Factor u(g).
-(g - 2)**3
Let f be ((-2)/3)/((-180)/435). Let i = f + -1/9. Solve 0 - i*h**3 + 3/2*h + 0*h**2 = 0 for h.
-1, 0, 1
What is c in 4*c**4 + 0 + 6/5*c**5 + 12/5*c**2 + 24/5*c**3 + 2/5*c = 0?
-1, -1/3, 0
Let o = 12 + -9. Let r(m) be the first derivative of -m**2 - 1/3*m**6 + m**4 + 0*m + o + 0*m**3 + 0*m**5. Find s such that r(s) = 0.
-1, 0, 1
Suppose -7 = -5*a + 18. Let k(n) be the second derivative of -1/10*n**a + 0 - 2*n + 0*n**3 + 0*n**2 + 1/15*n**6 + 1/21*n**7 - 1/6*n**4. Factor k(i).
2*i**2*(i - 1)*(i + 1)**2
Let u(i) be the second derivative of -i**4/24 + i**3/4 - i**2/2 + 8*i. Factor u(q).
-(q - 2)*(q - 1)/2
Let m(g) be the second derivative of g**10/105840 - g**9/52920 - g**8/23520 + g**7/8820 - g**4/6 + 6*g. Let n(w) be the third derivative of m(w). Factor n(z).
2*z**2*(z - 1)**2*(z + 1)/7
Let j(r) be the first derivative of 3*r**5/20 - 3*r**4/4 - r**3/4 + 3*r**2/2 + 4. Solve j(w) = 0 for w.
-1, 0, 1, 4
Factor 33*r**5 - 18*r**5 - 33*r**3 - 12*r**5 - 24*r - 54*r**2.
3*r*(r - 4)*(r + 1)**2*(r + 2)
Let o(f) be the second derivative of -f**6/10 - 9*f**5/20 - 3*f**4/4 - f**3/2 + 15*f. Factor o(r).
-3*r*(r + 1)**3
Suppose 20*x = 15*x + 5. Let l be (-2)/4*(-8)/2. Factor x - y**3 - 6 + 1 - 5*y + 2 - 4*y**l.
-(y + 1)**2*(y + 2)
Suppose 24 = -0*f + 6*f. Factor 0*m + 0*m**2 + 2/3*m**3 + 2/3*m**5 + 0 + 4/3*m**f.
2*m**3*(m + 1)**2/3
Suppose c + 3*c - 3*h = 28, -3*c + 32 = -5*h. Let p = -2 + 5. Let -u**5 + 3*u**2 - 2*u**c + 3*u**5 - 2*u**p - u**2 = 0. What is u?
-1, 0, 1
Let h(i) be the first derivative of -1/3*i**3 + 5 - 1/6*i**2 + 2/3*i + 1/12*i**4 + 1/15*i**5. Suppose h(k) = 0. Calculate k.
-2, -1, 1
Let t = -18 - -23. Factor 0*p**4 + p**2 - 2*p**3 + 3/2*p + 1/2*p**t - 1.
(p - 1)**3*(p + 1)*(p + 2)/2
Let b = -545/4 - -273/2. Let 0 + 0*p + 0*p**3 + 0*p**2 - b*p**4 = 0. What is p?
0
Let a(l) be the second derivative of -l**6/60 + l**5/2 - 59*l**4/12 + 15*l**3 - 81*l**2/4 - 33*l. Factor a(g).
-(g - 9)**2*(g - 1)**2/2
Suppose -2*b + 7*b - 24 = -2*l, -3*l + 5*b - 14 = 0. Let y = 0 + l. Factor 3*d - 3*d**2 + d**3 - 4 + 1 + y.
(d - 1)**3
Let m be 0 + (4 + -1 - 7). Let p be (m/(-5))/(8/20). Factor 3/4*w**4 - 1/2*w**p + 0 + 1/4*w**3 + 0*w.
w**2*(w + 1)*(3*w - 2)/4
Let p = -197 + 1381/7. Factor 0*h**2 + 4/7*h**3 - p*h**4 - 4/7*h + 2/7.
-2*(h - 1)**3*(h + 1)/7
Suppose 20*c - 6 = 5*v + 24*c, -14 = -5*v + c. Find b such that v*b + 8/5*b**2 + 2/5 = 0.
-1, -1/4
Let y = -768/5 + 801/5. Find c such that 12/5 + 3/5*c**3 - 9/5*c**4 + y*c**2 + 36/5*c - 3/5*c**5 = 0.
-2, -1, 2
Find j, given that -3*j**5 + 4*j**5 + 4*j**3 + 2*j**2 + j**5 + 6*j**4 + 2*j**3 = 0.
-1, 0
Determine w, given that -2*w + 0*w + 8*w + 0*w - 3*w**2 = 0.
0, 2
Factor 0 + 0*u + 0*u**2 - 5/2*u**4 + u**3.
-u**3*(5*u - 2)/2
Let d(f) be the first derivative of 2/11*f**3 + 1/22*f**4 + 2/11*f + 3/11*f**2 - 3. Factor d(w).
2*(w + 1)**3/11
Suppose -10*v = -4*v - 12. Factor -34/5*p**v - 12/5*p + 0 - 2*p**3.
-2*p*(p + 3)*(5*p + 2)/5
Factor -4/7*a - 2/7*a**2 + 0.
-2*a*(a + 2)/7
Let p be (3 - -1) + (-5 - -4). Determine a so that -p*a**5 - 3*a + 6*a**3 - 2*a**4 + 2*a**4 + 0*a**4 = 0.
-1, 0, 1
Let r(a) be the second derivative of -3*a + 1/56*a**7 + 0*a**3 + 0*a**2 + 1/10*a**6 + 3/16*a**5 + 0 + 1/8*a**4. Factor r(k).
3*k**2*(k + 1)**2*(k + 2)/4
Let c be -5 - (-12)/(-8)*(-14)/3. Solve -4/3*a**3 + 0*a + 0 - 2/3*a**c - 2/3*a**4 = 0.
-1, 0
Let z(x) = 5*x**2 - 13 + 4*x - 7 - 4*x**2 + 5*x. Let w be z(-11). Factor 0*d + 1/2*d**3 + 0 - 1/2*d**5 + 1/2*d**4 - 1/2*d**w.
-d**2*(d - 1)**2*(d + 1)/2
Let m(g) = -5*g**4 - 8*g**3 + 23*g**2 + 20*g + 3. Let t(x) = 5*x**4 + 7*x**3 - 22*x**2 - 20*x - 2. Let s(f) = -2*m(f) - 3*t(f). Factor s(r).
-5*r*(r - 2)*(r + 1)*(r + 2)
Suppose 3 = -a + 4*a. Let j be 3/12 + a/12. Solve s**3 - s + j*s**2 - 1/3 = 0 for s.
-1, -1/3, 1
Let a = 17 - 15. Factor -3*j**3 - 2*j**4 + j**4 - a*j + 3*j**3 + 3*j**2.
-j*(j - 1)**2*(j + 2)
Let l(b) = -3*b**2. Let u(r) = 5*r**2 - 6*r - 5. Let z(p) = 6*l(p) + 3*u(p). Factor z(k).
-3*(k + 1)*(k + 5)
Let l = 109 - 105. Factor 2/3*g**3 + 0*g**2 + 0*g + 0 - g**l - 5/3*g**5.
-g**3*(g + 1)*(5*g - 2)/3
Let l(f) be the third derivative of -2*f**5/105 + f**4/84 - 4*f**2. Factor l(j).
-2*j*(4*j - 1)/7
Let g(z) be the third derivative of z**6/3 - z**5/3 + 5*z**4/48 - 3*z**2. Let g(l) = 0. Calculate l.
0, 1/4
Let r be -12 + 10 - (-1 - 1). Suppose r = 3*c + 3 - 12. What is j in 4/3*j**3 - 1/3 + 2*j - c*j**2 = 0?
1/4, 1
Let f(k) be the second derivative of -k**7/70 + k**6/20 + 2*k**2 + 8*k. Let x(c) be the first derivative of f(c). Find j, given that x(j) = 0.
0, 2
Factor -547*d + 537*d + 5*d**4 - 10*d**2 - 5*d**2.
5*d*(d - 2)*(d + 1)**2
Let b(z) be the second derivative of -z**4/24 + z**3/4 + 5*z. Factor b(y).
-y*(y - 3)/2
Suppose -40*s - 9 = -209. Find z, given that 27*z**3 - 30*z**s + 0 + 3*z + 39/2*z**4 - 39/2*z**2 = 0.
-1, 0, 1/4, 2/5, 1
Let n(j) = j**2 - 6*j - 4. Let w be n(3). Let q = -10 - w. Factor 2/9*a**q - 4/9*a**2 + 2/9*a + 0.
2*a*(a - 1)**2/9
Let i = 8353/24 - 348. Let c(g) be the second derivative of 0*g**3 - 3*g - 1/40*g**5 + 0 - i*g**4 + 0*g**2. Factor c(y).
-y**2*(y + 1)/2
Let g be (-45)/(-4 - -1)*1. Suppose -g = -4*a - a. Factor 0 - 1/2*l**a + 1/2*l**2 + 0*l.
-l**2*(l - 1)/2
Let v(i) be the first derivative of 3 + 8/15*i**3 - 6/25*i**5 + 1/15*i**6 + 0*i**4 + 0*i**2 + 0*i. What is j in v(j) = 0?
-1, 0, 2
What is a in -3/7*a**2 - 15/7*a - 12/7 = 0?
-4, -1
Let c(z) = -24*z**4 + 14*z**3 + 24*z**2 - 14. Suppose 0 + 3 = -k. Let d(s) = -5*s**4 + 3*s**3 + 5*s**2 - 3. Let f(g) = k*c(g) + 14*d(g). Factor f(a).
2*a**2*(a - 1)*(a + 1)
Let j(y) be the second derivative of y**5/140 - y**4/56 - y**3/7 + 7*y**2/2 - 2*y. Let l(z) be the first derivative of j(z). Suppose l(c) = 0. What is c?
-1, 2
Let d = -94 - -94. Determine u so that 0*u - 1/6*u**3 + 1/6*u**4 + d*u**2 + 0 = 0.
0, 1
Let r(p) be the first derivative of -p**6/5 + 3*p**5/5 - 3*p**4/10 - 4*p**3/5 + 6*p**2/5 - 3*p/5 + 17. Determine l so that r(l) = 0.
-1, 1/2, 1
Let h(b) = b**3 + 49*b**2 - 49*b + 52. Let k be h(-50). Find m, given that 1/3*m + 2/3*m**k - 1/3*m**4 - 2/3*m**3 - 1/3 + 1/3*m**5 = 0.
-1, 1
Let u be 2/4*-14 - 3. Let c be (-52)/u - (2 - -2). Solve 2*q - 14/5*q**2 - 2/5 + c*q**3 = 0 for q.
1/3, 1
Let a(v) = -v**3 + 7*v**2 - 7*v - 4. Let o be a(6). Let x be (4/o)/((-1)/5). Factor -1/3*u**3 - u - 1/3 - u**x.
-(u + 1)**3/3
Let o(j) be the first derivative of 0*j - 2 + 0*j**2 - 33/20*j**4 + 27/25*j**5 + 2/5*j**3. Factor o(g).
3*g**2*(g - 1)*(9*g - 2)/5
Suppose 0 = -5*n - 10, 12*n - 8*n = 5*i - 18. Let w = 3054/7 + -435. Factor 3/7*v**i + 6/7 + w*v.
3*(v + 1)*