d derivative of l(c). Factor j(s).
s**2*(s - 1)**2/2
Let y(o) = -25*o**2 + o + 2. Let h be y(-2). Let z = h + 405/4. Factor 7/4*p**4 - 5/4*p**3 + z*p - 9/4*p**2 + 1/2.
(p - 1)**2*(p + 1)*(7*p + 2)/4
Let b(o) be the second derivative of -o**4/28 - o**3/6 - o**2/7 - 34*o. Factor b(a).
-(a + 2)*(3*a + 1)/7
Let o(y) be the first derivative of -21*y**4/20 - 9*y**3/5 - 3*y**2/5 - 15. Suppose o(m) = 0. What is m?
-1, -2/7, 0
Let g(k) be the first derivative of -k**6/180 - k**5/20 - k**4/6 + 2*k**3 + 6. Let n(w) be the third derivative of g(w). What is l in n(l) = 0?
-2, -1
Let o(u) = u**2 + u - 1. Let f be o(0). Let g be (f - -3) + -1 - -1. Factor -1 - 1 - 14*n - 2*n**g + 10*n.
-2*(n + 1)**2
Factor 0 - 1/2*w**3 + 0*w + 3/2*w**2.
-w**2*(w - 3)/2
Let j be (10/(-30))/((-1)/9). Suppose -2*h + j*h = 0. Factor 2/5 - 2/5*f**2 + h*f.
-2*(f - 1)*(f + 1)/5
Let x be 21/36*(-72)/(-112). Factor -7/8*u**3 + 0*u + x*u**2 + 0 + 1/4*u**4.
u**2*(u - 3)*(2*u - 1)/8
Let p = 50/33 - 13/11. Factor 0 + 1/3*k**2 + p*k.
k*(k + 1)/3
Let j be (-39)/156 + 102/56. Factor 2/7*p + 9/7*p**2 + 0 - j*p**3.
-p*(p - 1)*(11*p + 2)/7
Let g(c) = -c**3 + 10*c**2 + 13*c - 14. Let z be g(11). Let m be z/2*(-2)/(-12). Solve -2*q - m + 8/3*q**2 = 0 for q.
-1/4, 1
Let x(o) be the second derivative of -o**4/2 - o**3/3 - 11*o. Suppose x(h) = 0. Calculate h.
-1/3, 0
Let r(x) be the third derivative of x**6/100 - x**4/20 - 6*x**2. Find b, given that r(b) = 0.
-1, 0, 1
Let z(g) = -27*g**3 - 71*g**2 - 37*g - 9. Let k(u) = -9*u**3 - 24*u**2 - 12*u - 3. Let i = 3 + 0. Let j(m) = i*z(m) - 8*k(m). Factor j(r).
-3*(r + 1)**2*(3*r + 1)
Let r(d) be the third derivative of -d**6/120 + d**5/30 - d**4/24 + 14*d**2. Factor r(t).
-t*(t - 1)**2
Find q, given that -4/3*q + 8/3*q**2 - 4/3*q**3 + 0 = 0.
0, 1
Suppose 3*f - c - 14 = -0, 4*f = 2*c + 22. Let o be ((-16)/6 - 4)*2/(-12). Factor -o*t**f + 0*t + 4/9*t**2 + 0.
-2*t**2*(5*t - 2)/9
Let w(h) = -11*h - 8*h**3 + 46*h**4 - 42*h**4 + h**3. Let z(n) = -n**4 + 2*n**3 + 3*n. Let b(t) = -6*w(t) - 22*z(t). Factor b(d).
-2*d**3*(d + 1)
Let w = -23/3 - -49/6. Factor w*j + 1/2*j**3 + 0 - j**2.
j*(j - 1)**2/2
Suppose -6*r**2 + 128*r - r**3 + 2*r**4 - 126*r - r**3 + 0*r**4 + 4 = 0. What is r?
-1, 1, 2
Let o(i) be the third derivative of 7*i**5/15 - 5*i**4/3 - 16*i**3/3 + 25*i**2 + 2. Factor o(j).
4*(j - 2)*(7*j + 4)
Let a(v) be the third derivative of -v**5/150 - v**4/15 - 4*v**3/15 + 7*v**2. Determine n, given that a(n) = 0.
-2
Let w(o) = o**3 - 3*o**2 + 3*o - 4. Let c be w(3). Let x be c + 0 + (8 - 9). Let 5*a**x + 5*a**4 - 4*a - 10*a**2 + 7*a**3 - 3*a**3 = 0. What is a?
-1, -2/5, 0, 1
Let a = 15/62 - 7/93. Suppose a*j**2 + 0*j + 0 = 0. Calculate j.
0
Let q = 0 - -3. Suppose 2*i + 2*i = m - 19, q*i + 12 = 0. Let -l**5 - 3*l**m + 8*l**2 - l**4 + 4*l**3 - 7*l**2 = 0. What is l?
-1, 0, 1
Let l(s) be the third derivative of s**6/160 + 3*s**5/80 - 10*s**2. Factor l(i).
3*i**2*(i + 3)/4
Solve 6*h**3 - 15*h**4 + 24*h**2 + 0*h - 6*h - 327 + 318 = 0 for h.
-1, -3/5, 1
Find c such that -12/5 + 3/5*c**3 + 9/5*c**2 + 0*c = 0.
-2, 1
Let z(r) be the first derivative of -r**5/30 - r**4/12 + 2*r**3/3 + r**2/2 + 1. Let o(x) be the second derivative of z(x). Find a, given that o(a) = 0.
-2, 1
Let l(h) = h**2 - 7*h + 1. Suppose 4 = 2*a - 12. Let r(s) = 3*s**2 - 20*s + 4. Let p(b) = a*l(b) - 3*r(b). Factor p(d).
-(d - 2)**2
Let w(d) be the second derivative of -1/6*d**4 + 0 - 2*d**2 + d**3 - 10*d. Factor w(v).
-2*(v - 2)*(v - 1)
Let p(x) be the third derivative of -x**5/15 + 5*x**4/6 + 4*x**3 + 25*x**2. Factor p(i).
-4*(i - 6)*(i + 1)
Let w = 15 - 12. Let q(i) be the second derivative of -1/28*i**7 - 3*i + 0*i**2 + 0*i**6 - 1/4*i**w + 3/20*i**5 + 0 + 0*i**4. Factor q(t).
-3*t*(t - 1)**2*(t + 1)**2/2
Let k = -8 - -11. Solve f**5 + 2*f**5 + f + 4*f**k - 3*f - 5*f**5 = 0.
-1, 0, 1
Let j(n) be the first derivative of 0*n + 4 + 0*n**2 - 1/21*n**6 + 1/14*n**4 + 2/21*n**3 - 2/35*n**5. Factor j(u).
-2*u**2*(u - 1)*(u + 1)**2/7
Let p(n) be the second derivative of 0*n**2 + 0*n**3 + 1/75*n**6 + 0*n**4 + 1/100*n**5 - 4*n + 0. Factor p(b).
b**3*(2*b + 1)/5
Let 7*k**2 + 3*k**5 + 9*k**2 + 3*k**3 - 6*k**4 - 16*k**2 = 0. Calculate k.
0, 1
Let x(y) be the second derivative of 2/33*y**3 + 1/66*y**4 + 0 - 4*y + 1/11*y**2. Determine u so that x(u) = 0.
-1
Let o(f) = f**3 - f**2 - f - 1. Let k(i) = -6*i**3 + 9*i**2 + 7*i + 7. Let g(s) = -5*k(s) - 35*o(s). Factor g(v).
-5*v**2*(v + 2)
Let m(x) be the second derivative of -x**9/25200 + x**8/11200 + x**4/2 - 9*x. Let q(i) be the third derivative of m(i). Solve q(k) = 0.
0, 1
Let a(m) be the second derivative of -m**7/105 - m**6/30 - m**5/30 - m**2/2 - 2*m. Let h(l) be the first derivative of a(l). What is j in h(j) = 0?
-1, 0
Let o(t) be the first derivative of 0*t - 2/15*t**3 + 2/5*t**2 + 1. Factor o(p).
-2*p*(p - 2)/5
Let g(p) be the first derivative of -6/5*p**5 + 0*p + 9 + 0*p**2 + p**3 + 3/4*p**4. Factor g(t).
-3*t**2*(t - 1)*(2*t + 1)
Let b(n) be the first derivative of n**4/4 - 5*n**3/12 + n**2/8 - 2. Factor b(k).
k*(k - 1)*(4*k - 1)/4
Let x(i) be the second derivative of -i**4/28 + 3*i**3/7 - 12*i**2/7 + 8*i. Factor x(s).
-3*(s - 4)*(s - 2)/7
Find u, given that -10/11*u + 2/11 + 12/11*u**2 = 0.
1/3, 1/2
Factor 0*q**2 + 9/4*q**5 + 15/2*q**3 + 15/2*q**4 - 3/2 - 15/4*q.
3*(q + 1)**4*(3*q - 2)/4
Let y(j) = 2*j**2 + 2*j - 1. Let p be y(1). Factor 2*d**4 + 2*d**3 - d**3 + 2*d**2 + 0*d**3 - 5*d**p.
2*d**2*(d - 1)**2
Let t(k) be the third derivative of k**8/112 - k**7/35 + k**5/10 - k**4/8 - 4*k**2. Factor t(h).
3*h*(h - 1)**3*(h + 1)
Let z be (12/(-24))/((-2)/68). Suppose 4*q - i = z, 0*i = q - i - 5. Find j, given that 0 - 3/4*j**q - 5/4*j**3 - 1/2*j**2 + 0*j = 0.
-1, -2/3, 0
Let l = -1 + 19. Factor l*y + 4*y**3 - y**4 - y**3 - 22*y.
-y*(y - 2)**2*(y + 1)
Suppose 0*a**3 - 4*a**4 + a**4 - 3*a**3 = 0. What is a?
-1, 0
Let y(a) be the third derivative of -a**6/80 + a**5/10 - 5*a**4/16 + a**3/2 - 14*a**2. Find p such that y(p) = 0.
1, 2
Let s(y) be the first derivative of -y**6/42 + 8*y**5/35 - 25*y**4/28 + 38*y**3/21 - 2*y**2 + 8*y/7 - 20. Factor s(a).
-(a - 2)**3*(a - 1)**2/7
Let h be (14/(-8))/(-7)*8/54. Let c(s) be the third derivative of -1/540*s**6 + 0 + 1/108*s**4 + 1/270*s**5 + s**2 - h*s**3 + 0*s. Factor c(y).
-2*(y - 1)**2*(y + 1)/9
Let n(l) be the first derivative of -l**7/280 - l**6/480 + l**5/40 + l**4/32 - l**3/3 + 4. Let f(r) be the third derivative of n(r). Factor f(a).
-3*(a - 1)*(a + 1)*(4*a + 1)/4
Let m be 2/(-4) + (3 - 164/72). Find k, given that 0 + m*k**2 + 0*k = 0.
0
Let j(h) = -h**2 - 8*h + 5. Let x(c) = 8*c - 4. Let r be (12 - 13)/(2/10). Let s(g) = r*x(g) - 4*j(g). Factor s(w).
4*w*(w - 2)
Let p(b) be the second derivative of 3*b**5/20 + 5*b**4/2 - 23*b**3/2 + 18*b**2 - b - 2. Factor p(g).
3*(g - 1)**2*(g + 12)
Suppose 2*s - 6 = -s. Let -3*i**3 - 4*i**3 - i**s - 7*i**3 + 15*i**3 = 0. Calculate i.
0, 1
Let n(g) = 5*g**2 - 5. Let f(k) = -6*k**2 + 6. Let r(m) = -3*f(m) - 4*n(m). Suppose r(a) = 0. Calculate a.
-1, 1
Let i = -1 + 1. Let h be ((-25)/(-60))/(90/48). Solve -h*s**2 + i*s + 0 = 0.
0
Let d(c) be the first derivative of -9*c**5 + 105*c**4/2 - 305*c**3/3 + 70*c**2 - 20*c + 2. Factor d(r).
-5*(r - 2)**2*(3*r - 1)**2
Let u(q) = -q**2 - 1. Let l(k) = -5*k**2 - 2*k - 5. Let h(t) = l(t) - 4*u(t). Factor h(p).
-(p + 1)**2
Let g be 4/26 + 88/1287. Solve g*j**3 - 2/9*j**2 + 0 - 4/9*j = 0 for j.
-1, 0, 2
Let o(d) = -d**2 - 8*d + 4. Let g be o(-8). Factor 26*c**3 - 4*c - g*c + 7*c - 10*c**2 + 4*c**5 - 5*c - 18*c**4 + 4.
2*(c - 2)*(c - 1)**3*(2*c + 1)
Factor 0*r**2 + 0*r**3 + 0 - 1/5*r**4 + 0*r.
-r**4/5
Let i(y) be the third derivative of -4*y**5/15 - y**4/2 + 2*y**3/3 - 5*y**2. Find x, given that i(x) = 0.
-1, 1/4
Let 1/4*k**4 + 0*k**2 - k + 3/4*k**3 + 0 = 0. Calculate k.
-2, 0, 1
Suppose 2*p + 2*p = 5*l + 91, -4*l = 5*p - 124. Factor p*v + 8*v**2 - 3*v - 11*v + 2.
2*(v + 1)*(4*v + 1)
Let o(a) be the first derivative of -a**6/360 - a**5/60 - a**4/24 + a**3/3 - 1. Let l(n) be the third derivative of o(n). Find j, given that l(j) = 0.
-1
Let u be 80/32 - 2/(-4). Let n(z) be the first derivative of 1/9*z**u + 0*z**2 + 1 - 1/3*z. Factor n(c).
(c - 1)*(c + 1)/3
Let p = 11 - 4. Let j = -5 + p. Factor -8*x**2 + 0*x**3 - 2*x**3 + 10*x**j.
-2*x**2*(x -