*l**4 + 0*l + q - r*l**2 - 8*l**3.
-2*l**2*(3*l + 2)**2/3
Let j(b) be the first derivative of b**6/27 + 2*b**5/45 - b**4/9 - 1. Let j(x) = 0. What is x?
-2, 0, 1
Let h(t) = -20*t - 74. Let w be h(-4). Let j(p) be the second derivative of -1/135*p**w - 1/45*p**5 + 0*p**2 - 1/54*p**4 + 0 - p + 0*p**3. Factor j(n).
-2*n**2*(n + 1)**2/9
Let u be 1/2*(-1 - 3). Let o = 6 + u. Factor -10*w**3 + 3*w**2 + 21*w**2 + o - 26*w + 8*w.
-2*(w - 1)**2*(5*w - 2)
Let f be (-24)/(-35) - 60/210. Factor 0 - 2/5*j + f*j**2.
2*j*(j - 1)/5
Suppose -m - 9 = 4*t + 8, 37 = 4*m - 5*t. Factor 2*o**5 + m*o**3 + 3 + 4*o**2 - o - 5*o**4 - 3*o**2 - 3.
o*(o - 1)**3*(2*o + 1)
Let b be ((-12)/(-75))/((-4)/(-20)). Find i, given that -b*i**2 + 4/5 + 0*i = 0.
-1, 1
Let v(g) be the first derivative of g**4/12 + g**3 + 9*g**2/2 - 2*g - 2. Let s(h) be the first derivative of v(h). Solve s(i) = 0 for i.
-3
Let u(i) = -i**2 + 11*i - 7. Let n be u(10). Suppose 5*j + 3*b = b - 2, -4 = n*j + 4*b. Let j*a + 0*a**2 + 0 + 1/3*a**3 = 0. Calculate a.
0
Let n = 6 + -4. Let r(b) be the first derivative of 1/3*b**3 + 3 + 1/2*b**n + 0*b - 1/4*b**4 - 1/5*b**5. Factor r(l).
-l*(l - 1)*(l + 1)**2
Let i(b) = -b - 3. Let n be i(-6). Determine k so that 2*k**n - 10*k + 10*k + 2*k**2 = 0.
-1, 0
Let u(c) = c**2 + 1. Let x(a) = 20*a**2 + 27*a - 1. Let j(o) = -5*u(o) + x(o). Factor j(s).
3*(s + 2)*(5*s - 1)
Let z(p) = 5*p**4 - 24*p**2 + 28*p - 3. Let x(s) = -s**3 + s**2 + s + 1. Let h(c) = 3*x(c) - z(c). Factor h(w).
-(w - 1)**2*(w + 3)*(5*w - 2)
Let r = 3/130 + 59/260. Factor 1/4*w**4 - 1/4*w**3 - r*w**2 + 1/4*w + 0.
w*(w - 1)**2*(w + 1)/4
Let v(c) = 4*c**3 - 12*c**2 + 7*c - 9. Let h(w) = -6*w**3 + 18*w**2 - 11*w + 13. Let b(q) = -5*h(q) - 7*v(q). Factor b(o).
2*(o - 1)**3
Let n be 3 + 3/((-300)/436) + 2. Let p(g) be the first derivative of 12/5*g**3 + 2/5*g + 1 + 2*g**4 + 7/5*g**2 + n*g**5. What is c in p(c) = 0?
-1, -1/2
Let k = 2 - -4. Let l(a) = a**3 - 5*a**2 - 6*a + 2. Let u be l(k). Let -1/4*w**3 - 1/4*w**u + 1/2*w**4 + 0 + 0*w = 0. Calculate w.
-1/2, 0, 1
Suppose 0 + 10/3*b + 2/3*b**2 = 0. Calculate b.
-5, 0
Suppose 4*r = 5*r - 10. Let k = 10 + -7. Factor 0*y**3 - 2*y**k - r*y**4 - 2*y**3.
-2*y**3*(5*y + 2)
Find v, given that 0*v - 4*v - 4*v**2 + 7*v**3 + 20*v**3 - 7*v**3 - 12*v**4 = 0.
-1/3, 0, 1
Factor -7*i**2 - i + 5*i**3 - 12 + 11 + 4.
(i - 1)**2*(5*i + 3)
Let n be (3 + -3)/(2 - 3). Let w be n + (3 - (-1 + 1)). Factor -6*m**4 - 2 + 21*m**w + 12*m + 0*m**4 - 24*m**2 - m**3.
-2*(m - 1)**3*(3*m - 1)
Let h(j) be the second derivative of -j**4/3 - 8*j**3/3 - 6*j**2 - 7*j. Factor h(n).
-4*(n + 1)*(n + 3)
Let b(x) be the first derivative of x**6/300 - x**4/20 - 2*x**3/15 - 5*x**2/2 + 4. Let c(g) be the second derivative of b(g). Let c(y) = 0. Calculate y.
-1, 2
Factor 2*y - 33*y**2 - 31*y**2 + 73*y**2.
y*(9*y + 2)
Let a(w) = 3*w**4 - 12*w**3 + 6*w**2 + 6*w + 3. Let c(r) = 2*r**4 - 11*r**3 + 5*r**2 + 6*r + 3. Let t(y) = 5*a(y) - 6*c(y). Solve t(k) = 0.
-1, 1
Let c = 12 + -8. Suppose -c + 19 = 3*f. Determine a so that 10*a**3 - 28*a**4 + 16*a**2 - 30*a**f - 8*a - 5*a**3 + 21*a**3 = 0.
-1, 0, 2/5, 2/3
Let q(d) be the third derivative of d**7/1680 + d**6/1080 - 7*d**5/720 + d**4/72 - 2*d**3/3 + 2*d**2. Let a(c) be the first derivative of q(c). Factor a(o).
(o - 1)*(o + 2)*(3*o - 1)/6
Let z(g) = g**3 + 5*g**2 - 2*g - 7. Let u be 10*1/4*-2. Let l be z(u). Suppose 3*d**l - 2*d**4 + 1/2*d - 2*d**2 + 0 + 1/2*d**5 = 0. Calculate d.
0, 1
Factor 4/3*n**4 + 0*n**3 - 2/3*n + 2/3*n**5 + 0 - 4/3*n**2.
2*n*(n - 1)*(n + 1)**3/3
Let o(q) be the third derivative of -5*q**8/336 + q**7/42 + q**6/24 - q**5/12 + 27*q**2. Factor o(g).
-5*g**2*(g - 1)**2*(g + 1)
Let s(q) be the third derivative of q**10/30240 - q**9/7560 + q**7/1260 - q**6/720 - q**4/8 - 4*q**2. Let w(k) be the second derivative of s(k). Factor w(o).
o*(o - 1)**3*(o + 1)
Let b(k) be the first derivative of k - 1/6*k**3 + 4 + 1/4*k**2. Determine h so that b(h) = 0.
-1, 2
Let v be ((-3)/1 - (-4 - -1))/2. Factor 2/3*k**5 + v*k**2 - 4/3*k**3 + 2/3*k + 0*k**4 + 0.
2*k*(k - 1)**2*(k + 1)**2/3
Let a(q) be the second derivative of -q**9/12096 + q**8/3360 - q**7/3360 + q**3/6 - 5*q. Let b(c) be the second derivative of a(c). Suppose b(g) = 0. What is g?
0, 1
Let u(f) be the first derivative of f**6/135 + f**5/54 + f**4/108 + 2*f**2 - 3. Let c(v) be the second derivative of u(v). Let c(s) = 0. Calculate s.
-1, -1/4, 0
Suppose -12 = -3*s + 6. Suppose s*p**3 + 9*p**2 - 9*p**4 + p**3 - 4*p**3 - 3*p = 0. What is p?
-1, 0, 1/3, 1
Let r be 180/210 - 54/14 - -3. Find c, given that -1/6*c**3 + r*c**2 + 0 + 0*c = 0.
0
Factor -15/7*b + 12/7*b**2 - 3/7*b**3 + 6/7.
-3*(b - 2)*(b - 1)**2/7
Let f(o) be the third derivative of o**8/2240 + o**7/840 + o**4/4 + 4*o**2. Let y(b) be the second derivative of f(b). Find k such that y(k) = 0.
-1, 0
Let r be 5/(-14)*((-52)/8 + 3). Suppose 1/4*d**4 + 9/4*d**2 + 1/2 - 7/4*d - r*d**3 = 0. Calculate d.
1, 2
Let b(s) be the second derivative of -s**6/60 + s**5/20 - 6*s. Factor b(z).
-z**3*(z - 2)/2
Suppose -5*r - 15 - 5 = 0. Let m be r/14 - 10/(-35). Factor 0*p + 1/4*p**4 - 1/2*p**3 + 1/4*p**2 + m.
p**2*(p - 1)**2/4
Let q(h) = -h**3 - 12*h**2. Let x be q(-12). Let m(p) be the third derivative of -4*p**2 - 1/44*p**4 + 0*p**5 + 2/33*p**3 + x*p + 0 + 1/660*p**6. Factor m(y).
2*(y - 1)**2*(y + 2)/11
Let z = 19 + -19. Suppose -3*d + q = -8*d + 6, z = 2*d + 2*q + 4. Determine c so that 2/9*c + 0 + 2/9*c**3 - 4/9*c**d = 0.
0, 1
Factor 3/4*m**2 - 1/2*m**3 + 0 - 1/4*m.
-m*(m - 1)*(2*m - 1)/4
Suppose -91*l - 15 = -94*l. Let j(a) be the second derivative of 1/9*a**3 + 0 - 1/30*a**l + 0*a**2 - 3*a + 0*a**4. Solve j(p) = 0 for p.
-1, 0, 1
Let a(h) = -4*h**3 + h. Let x be a(2). Let s be (2/(-8))/(6/x). Determine k so that s*k - 1/4 - k**2 = 0.
1/4, 1
Let b(q) be the third derivative of q**7/280 - q**6/32 + 3*q**5/80 + 5*q**4/32 - q**3/2 + 29*q**2. Factor b(r).
3*(r - 4)*(r - 1)**2*(r + 1)/4
Suppose 4*t - 4*m = -4 + 20, 3*m + 8 = -t. Let o(s) = s**2 - 1. Let d(a) = 20*a**2 + 18*a - 2. Let g(q) = t*d(q) - 5*o(q). Factor g(w).
3*(w + 1)*(5*w + 1)
Suppose -2*v - 3*o + 6 = v, 3*o - 12 = 0. Let u(n) = -3*n**3 + 5*n**2. Let l(j) = -9*j**3 + 16*j**2. Let k(g) = v*l(g) + 7*u(g). Solve k(c) = 0 for c.
0, 1
Let j(i) = -2*i - 2. Let w be j(-4). Factor -17*u**2 + 4*u**2 + 21*u + w*u**2 + u**2 - 9.
-3*(u - 3)*(2*u - 1)
Let g(p) be the third derivative of -p**8/112 + p**7/70 + 3*p**6/40 - p**5/20 - p**4/4 + 12*p**2. Let g(m) = 0. What is m?
-1, 0, 1, 2
Let y = -2 - -8. Let d(u) = -9*u**4 + 6*u**3 + 3*u**2 + 12*u. Let q(m) = 8*m**4 - 5*m**3 - 4*m**2 - 11*m. Let x(t) = y*q(t) + 5*d(t). Factor x(s).
3*s*(s - 2)*(s + 1)**2
Let x be (-2)/(-4) - (-20)/(-8). Let j be -2 + x + (-28)/(-6). Factor -2/3*r + 2/3*r**2 - j + 2/3*r**3.
2*(r - 1)*(r + 1)**2/3
Let b be 5/(450/42) - 1/(-5). Let r(l) be the second derivative of 0 + 2*l - b*l**2 - 1/36*l**4 - 2/9*l**3. What is c in r(c) = 0?
-2
Let u(p) be the third derivative of -p**8/1680 + p**7/1260 - p**4/8 + p**2. Let s(h) be the second derivative of u(h). Factor s(l).
-2*l**2*(2*l - 1)
Factor 1/4 - 1/8*k**2 - 1/8*k.
-(k - 1)*(k + 2)/8
Let p(y) be the first derivative of 4 + 0*y**3 - 1/6*y**6 + 0*y**2 - 1/4*y**4 - 2/5*y**5 + 0*y. Factor p(k).
-k**3*(k + 1)**2
Let l(v) = -20*v**5 + 80*v**3 - 40*v**2 - 60*v + 40. Let r(s) = -5*s**5 + 20*s**3 - 10*s**2 - 15*s + 10. Let n(b) = -2*l(b) + 9*r(b). Factor n(j).
-5*(j - 1)**3*(j + 1)*(j + 2)
Determine k, given that 0 - 1/3*k**4 + k**2 + 0*k + 2/3*k**3 = 0.
-1, 0, 3
Suppose 0 = 4*g + 16, 2*g = -f - 0*g. Suppose -3*u + f = -7. Find w, given that -5/3*w - 10/3*w**2 - 5/3*w**4 - 10/3*w**3 - 1/3 - 1/3*w**u = 0.
-1
Let d(y) be the second derivative of -y**5/5 + y**4/3 + 2*y**3/3 - 4*y**2 - 2*y. Let p(b) be the first derivative of d(b). Let p(j) = 0. What is j?
-1/3, 1
Let l(t) = 8*t**3 + 5*t**2 - t + 9. Let d(j) = -2 - j + 5*j**2 + 1 + 7*j**3 + 9 - j**2. Let c(b) = 7*d(b) - 6*l(b). Find x, given that c(x) = 0.
-1, 1, 2
Let p(f) = 3*f - 10. Let h be p(5). Suppose -4*d - h*s = -s, -2*d - s + 2 = 0. Let 0*u**d - 3/5*u**3 - 1/5*u**4 + 0 + 4/5*u = 0. Calculate u.
-2, 0, 1
Let q be ((-4)/(-3))/(-3 + 22/6). Determine u, given that 2/5*u**3 + 0 + 2/5*u**4 - 2/5*u - 2/5*u**q = 0.
-1, 0, 1
Suppose -30 = -17*x + 4