derivative of -i**6/48 - i**5/40 + i**4/16 + i**3/12 - i**2/16 - i/8 + 3. Factor s(j).
-(j - 1)**2*(j + 1)**3/8
Let 5*h - 11*h**4 + 4*h**3 + 4*h**4 + 7*h**2 - 6*h**5 - 3*h = 0. What is h?
-1, -2/3, -1/2, 0, 1
Let y(x) be the first derivative of -x**4/8 + x**3/2 - 47. Factor y(f).
-f**2*(f - 3)/2
Let l(p) = 12*p**3 - p**2 + 5*p + 13. Let x(o) = 19*o**3 - o**2 + 8*o + 20. Let u(t) = 8*l(t) - 5*x(t). What is w in u(w) = 0?
-1, 2
Let q(b) be the first derivative of -2*b**5/95 + b**4/38 + 2*b**3/57 - b**2/19 - 16. Factor q(i).
-2*i*(i - 1)**2*(i + 1)/19
Suppose -40 = -u - 4*u. Factor s**2 + 5*s**2 - u*s - 4*s**2 + 8.
2*(s - 2)**2
Let -18/5*p**3 - 3*p**2 + 3 + 18/5*p = 0. What is p?
-1, -5/6, 1
Solve -30/7*j**3 + 0 - 2/7*j**5 - 2*j**4 + 0*j - 18/7*j**2 = 0.
-3, -1, 0
Let f(z) be the third derivative of 1/14*z**7 + z**3 + 0 - 7/20*z**5 + 3/40*z**6 + 0*z - 3/8*z**4 + 7*z**2. Factor f(g).
3*(g - 1)*(g + 1)**2*(5*g - 2)
Let o = 158 + -158. Let u(d) be the third derivative of 3/20*d**6 - 4/35*d**7 + o*d**4 + 5/168*d**8 + d**2 + 0*d**3 - 1/15*d**5 + 0*d + 0. Solve u(h) = 0.
0, 2/5, 1
Let w be 21/(-18)*135/(-210). Factor -3/2*f**3 - w*f**5 - 9/4*f**4 + 3/4 + 3/2*f**2 + 9/4*f.
-3*(f - 1)*(f + 1)**4/4
Suppose -4*d - 476 = -5*j, 2*j - 2*d = 3*d + 187. Let b be 3/(-5)*j/(-18). Factor 14/5*x**2 + 0 + 4/5*x + 6/5*x**4 + b*x**3.
2*x*(x + 1)**2*(3*x + 2)/5
Let f be (-2)/1 + 2 + 2. Let a(c) = 1 + c**f + 1 - c - 3 + 0. Let k(o) = 2*o**2 - 2*o - 4. Let l(q) = -4*a(q) + k(q). Suppose l(w) = 0. What is w?
0, 1
Let j(s) = -3*s**2 + 2*s + 2. Let v(h) = 12*h**2 - 9*h - 9. Let r(q) = 9*j(q) + 2*v(q). Factor r(t).
-3*t**2
Let g be (40/(-12))/((-1)/(-3)). Let h be 7/g + (-27)/(-18). Find f, given that -12*f**4 - 14/5*f**5 - h - 20*f**3 - 16*f**2 - 6*f = 0.
-1, -2/7
Let w be ((-6)/(-5))/((-26)/(-65)). Let z(f) = -4*f + 12. Let o be z(w). Solve o + 0*t + 5/4*t**3 + 1/2*t**2 + t**4 + 1/4*t**5 = 0 for t.
-2, -1, 0
Let n(k) be the first derivative of 2*k**3/45 - 2*k**2/5 + 8. Let n(m) = 0. What is m?
0, 6
Let a(c) = 22*c**2 + 40*c + 19. Let z(b) = 19*b - 17 - 20 - 99*b - 45*b**2. Let t(r) = -5*a(r) - 3*z(r). Determine l, given that t(l) = 0.
-4/5
Suppose -c - 5 - 8 = -5*h, -2*h - 3*c - 5 = 0. Let n be h/(10 + 9/(-3)). Factor 8/7*w + 0 + n*w**3 + 8/7*w**2.
2*w*(w + 2)**2/7
Suppose -33 = -21*o + 9. What is m in -2/3*m**4 - 4/3*m**3 + 4/3*m + 0 + 2/3*m**o = 0?
-2, -1, 0, 1
Let z(r) be the first derivative of 5*r**4/4 + 25*r**3/3 + 20*r**2 + 20*r + 16. Determine s, given that z(s) = 0.
-2, -1
Let b(w) = -3*w**3 + 4*w**2 + 2*w. Let j(v) = -4*v**3 + 4*v**2 + 2*v. Let o(i) = 6*b(i) - 5*j(i). Solve o(k) = 0 for k.
-1, 0
Suppose 5*a - 217 - 98 = 0. Let l be (-18)/a*-7*1. Factor 2*d**4 - 3*d**l - d**4 + 2*d**4.
3*d**2*(d - 1)*(d + 1)
Let j be ((-2)/6)/(-1 + 20/24). Find x such that 2/9*x**3 - 2/9*x + 2/9*x**4 + 0 - 2/9*x**j = 0.
-1, 0, 1
Determine r, given that -1 + r**2 + 6 + 6*r**4 - r**4 - 11*r**2 = 0.
-1, 1
Let q(g) = -g**5 + g**3 + g**2 - g - 1. Let x(t) = 5*t**5 + 3*t**4 - 16*t**2 - 15*t - 3. Let o(c) = -30*q(c) - 5*x(c). Solve o(s) = 0 for s.
-1, 3
Let h(x) be the second derivative of x**7/1260 + x**4/12 + 3*x. Let v(d) be the third derivative of h(d). Factor v(p).
2*p**2
Let c = 355 - 355. Suppose c - 2/3*s**2 + 4/3*s = 0. Calculate s.
0, 2
Let f(q) be the second derivative of -q**5/5 - 4*q**4/3 - 8*q**3/3 - 9*q. Factor f(z).
-4*z*(z + 2)**2
Let t be 2/12*(-18)/(-228). Let b = 159/532 - t. Let -b*i**3 - 4/7*i**2 - 2/7*i + 0 = 0. What is i?
-1, 0
Find q such that 27*q**2 + 10 + 24*q**4 - 21*q - 4 - 15*q**3 - 21*q**4 = 0.
1, 2
Let k(y) be the third derivative of -y**7/2100 + y**5/200 - y**4/120 + 3*y**2. Factor k(s).
-s*(s - 1)**2*(s + 2)/10
Find u, given that 1/3*u - 2/3*u**2 + 0 + 1/3*u**3 = 0.
0, 1
Let s(v) = -6*v**2 - 13*v + 7. Let l = -12 + 8. Let b(w) = -2*w**2 - 4*w + 2. Let g(i) = l*s(i) + 14*b(i). Let g(p) = 0. Calculate p.
-1, 0
Let y(d) be the third derivative of -d**9/5040 + d**8/2240 + d**7/840 - d**6/240 + d**4/12 + 4*d**2. Let p(i) be the second derivative of y(i). Factor p(s).
-3*s*(s - 1)**2*(s + 1)
Let j be (-38)/(-240) - 5/40. Let s(l) be the second derivative of 1/100*l**5 + 1/30*l**3 + 0 + j*l**4 + 0*l**2 + 2*l. Let s(m) = 0. What is m?
-1, 0
Let r = -5968/9 + 664. Determine h, given that -2/9*h**3 + 2/9*h**2 - r + 8/9*h = 0.
-2, 1, 2
Suppose 14/9*d + 4/9*d**2 + 2/3 - 10/9*d**4 - 2/9*d**5 - 4/3*d**3 = 0. Calculate d.
-3, -1, 1
Suppose 4*n + 3*z = 111, 2*n - 5*n + 80 = -z. Let b be 6*(-4 + n/6). Factor -2/5*g**2 + 0 + 2/5*g**4 - 2/5*g**b + 2/5*g.
2*g*(g - 1)**2*(g + 1)/5
Suppose 0 = 3*c - o + 52, 84 = -5*c + 2*o - o. Let x be (c/3)/((-7)/3). Let -x*r**3 - 6/7*r**4 - 4/7*r - 2*r**2 + 0 = 0. What is r?
-1, -2/3, 0
Let t = 1/18 + 13/9. Determine i, given that -3/2 - t*i + 3/2*i**3 + 3/2*i**2 = 0.
-1, 1
What is x in 0 - 3/5*x**3 + 0*x**2 - 12/5*x**4 + 0*x = 0?
-1/4, 0
Let r(s) be the first derivative of s**7/210 - s**6/150 - s**5/100 + s**4/60 - 2*s + 6. Let n(v) be the first derivative of r(v). Factor n(y).
y**2*(y - 1)**2*(y + 1)/5
Let g(i) = -i**3 + 3*i**2 + 4*i - 4. Let k be g(4). Let t be (12/9)/((-2)/k). Let t*z**2 - 16/3*z**3 + 0 - 1/3*z = 0. Calculate z.
0, 1/4
Let f(l) be the second derivative of -l**7/28 + l**6/20 + 3*l**5/20 - l**4/4 - l**3/4 + 3*l**2/4 - 2*l. Solve f(j) = 0.
-1, 1
Let i(l) = -l + 14. Suppose 0 = 3*u - 0*u - 36. Let s be i(u). Factor 0*j - 4/7*j**4 - 2/7*j**3 + 0*j**s + 0 - 2/7*j**5.
-2*j**3*(j + 1)**2/7
Let p(r) be the third derivative of 1/120*r**5 - 1/420*r**7 - 1/240*r**6 + 1/48*r**4 + 0 + 5*r**2 + 0*r + 0*r**3. Determine s, given that p(s) = 0.
-1, 0, 1
Let z(y) be the first derivative of -1/4*y**2 + 1/12*y**6 + 0*y - 1/5*y**5 + 0*y**4 + 1/3*y**3 - 3. Factor z(k).
k*(k - 1)**3*(k + 1)/2
Factor -5*t**2 - 15*t**3 + t**2 + 22*t**2 + 12*t + 3*t**4 - 24.
3*(t - 2)**3*(t + 1)
Let t(y) be the first derivative of -3 + 1/14*y**4 - 1/7*y**2 + 2/7*y - 2/21*y**3. Factor t(u).
2*(u - 1)**2*(u + 1)/7
Let r(y) = 2 + 1 - y**2 + 7*y**3 + 2 - 5*y. Let k(l) be the second derivative of 3*l**5/20 - l**3/3 + l**2 - 18*l. Let d(m) = -5*k(m) + 2*r(m). Factor d(n).
-n**2*(n + 2)
Let p(s) = 38*s**2 - 27*s - 25. Let w(a) = -a**2 + 2. Let m be w(-2). Let b(z) = -13*z**2 + 9*z + 8. Let x(f) = m*p(f) - 7*b(f). Factor x(u).
3*(u - 1)*(5*u + 2)
Let d(s) be the second derivative of -2*s**7/49 - 2*s**6/21 + 11*s**5/35 + 3*s**4/7 - 32*s**3/21 + 8*s**2/7 + 22*s. Solve d(m) = 0 for m.
-2, 1/3, 1
Let l(z) = -z**3 + z**2 - z. Let n(j) = j - 5. Let x be n(6). Let u(d) = -7*d**3 + 9*d**2 - 7*d. Let c(b) = x*u(b) - 5*l(b). Factor c(t).
-2*t*(t - 1)**2
Let f(s) = s**2 - s - 4. Let a be f(3). Let r = 17 - 15. Solve -h - a*h**r + h = 0.
0
Suppose b - 2*c = 6, 4*b - c = 3*c + 20. Suppose -4*x = -0*y - 4*y - 4, b*y + 4*x = 20. Factor 0 + 0 + 2*t - 4 + 2*t**y.
2*(t - 1)*(t + 2)
Suppose 26 = 5*k - 2*x, 0 = 3*k + 5*x + 5 - 2. Let i = -6 + 11. Factor 3/4*q**i + 0*q + 1/4*q**3 + 1/4*q**2 - 5/4*q**k + 0.
q**2*(q - 1)**2*(3*q + 1)/4
Let b(v) = 5*v**2 + v. Let t be b(-1). Let n = t + -2. Suppose n*o + o - 9*o**3 + 6*o**4 + 0*o**4 = 0. What is o?
-1/2, 0, 1
Let p(m) be the second derivative of 7/6*m**4 - 9/10*m**5 - 2/3*m**3 + 0 + 1/3*m**6 + 0*m**2 + m - 1/21*m**7. Factor p(l).
-2*l*(l - 2)*(l - 1)**3
Let k(g) = 2*g**2 + 2*g - 1. Let l be k(-2). Let b(a) = a - 2. Let u be b(4). Factor -1/3*d**u + 0*d + 1/3*d**l + 0.
d**2*(d - 1)/3
Let i be ((-16)/20)/((-4)/10). What is l in 0*l**2 - i*l - 2*l**2 + 6*l = 0?
0, 2
Let r(t) be the first derivative of -1/54*t**4 + 0*t**2 + t + 2 - 1/27*t**3. Let n(o) be the first derivative of r(o). Factor n(k).
-2*k*(k + 1)/9
Let k(d) = -2*d - 28. Let g be k(-14). Suppose 4/5*b**2 - 2/5*b**3 - 2/5*b + g = 0. What is b?
0, 1
Let q(y) = -y**3 + 12*y**2 + y - 6. Let s be q(12). Suppose b - k = 4*b - 5, -4*k = -b + s. Determine x, given that -3*x**3 + 0*x**3 + 2 + 4*x - 5*x**2 + b = 0.
-2, -2/3, 1
Let x be (-10)/3*(-24)/16. Suppose -d - 4*d - x*z + 15 = 0, -3*z = 5*d - 13. Factor 2/5*u**3 - 2/5 - 2/5*u + 2/5*u**d.
2*(u - 1)*(u + 1)**2/5
Factor -2*f**2 + 6*f**3 + 9*f + 26*f**2 + 19*f**3 - 3*f**5 - 7*f**3.
-3*f*(f - 3)*(f + 1)**3
Let o(s) = 105*s. Let w be o(1). Suppose -w = -3*y + 120. Determine a, given that -21*a**4 - 26*a - 69*a**3 - 6*a**2 - y*a**2 - 6 - 13