 second derivative of -3*j**5/20 + j**4/3 + j**3/6 - j**2 + 3*j. Factor v(x).
-(x - 1)**2*(3*x + 2)
Let b be -5 + (-5 - (-1106)/105). Find y such that 38/15*y**3 - 26/15*y**2 + b - 14/15*y**5 - 8/5*y + 6/5*y**4 = 0.
-1, 2/7, 1, 2
Let v(z) = 2*z**3. Let r = 8 + -7. Let q be v(r). Factor 5/4*k**q - 1 - 2*k.
(k - 2)*(5*k + 2)/4
Let y(c) be the second derivative of 7*c**4/30 - 19*c**3/15 - 6*c**2/5 + 39*c. Factor y(w).
2*(w - 3)*(7*w + 2)/5
Let y(a) = 3*a**3 + 2*a**2 - 2*a. Let z(p) = p**2 + p**2 - 6*p**2 - 7*p**3 + 5*p. Let k(g) = 5*y(g) + 2*z(g). What is l in k(l) = 0?
-2, 0
Let a(y) be the second derivative of -y**10/10080 + y**8/1120 - y**6/240 - y**4/6 - y. Let t(b) be the third derivative of a(b). Determine p so that t(p) = 0.
-1, 0, 1
Let g = 5 - 2. Determine w so that 16 - 14 + w + w**5 - 4*w**2 + w**4 - 2*w**g + w**4 = 0.
-2, -1, 1
Factor 0*a**2 - 3*a**3 - 9*a**2 + 15*a - 9 + 6*a**2.
-3*(a - 1)**2*(a + 3)
Let m(q) be the first derivative of 0*q + 5 - 9/10*q**4 - 8/5*q**3 - 4/5*q**2. Factor m(p).
-2*p*(3*p + 2)**2/5
Let h(o) = o**5 - o**3 - o**2 - 1. Let b(s) = -44*s**4 - 56*s**3 - 16*s**2 + 8*s - 12. Let d(g) = -b(g) + 12*h(g). Solve d(q) = 0.
-2, -1, 0, 1/3
Let z = 119 - 119. Let r(g) be the third derivative of z - 1/21*g**3 + 1/42*g**4 + 0*g - 1/210*g**5 - 3*g**2. Let r(k) = 0. Calculate k.
1
Let a = 12 - 4. Suppose 6*x - 6 - x**2 - a + 5 + 0 = 0. What is x?
3
Suppose 0 = -3*y - 0*y + 12. Let c(b) = -b**3 - 3*b**2 - 2*b - 4. Let i be c(-3). Find t such that t + t**y - t**3 - t**2 - i*t + 2*t = 0.
-1, 0, 1
Suppose -6*g + 5*g = -2. Factor -6*c - 3 + 2 - 3 + 0*c**g - 2*c**2.
-2*(c + 1)*(c + 2)
Let a(t) be the third derivative of t**5/180 + t**4/72 - t**3/9 + 9*t**2. Solve a(j) = 0.
-2, 1
Factor -147/5*b**4 + 231/5*b**3 + 0 + 12/5*b - 96/5*b**2.
-3*b*(b - 1)*(7*b - 2)**2/5
Let y(p) be the third derivative of -p**9/1512 + p**7/420 - p**3/3 + 2*p**2. Let s(a) be the first derivative of y(a). Factor s(x).
-2*x**3*(x - 1)*(x + 1)
Let r(g) = g**2 - 3*g + 6. Let w(k) = -1 + 0 + 2. Let t(s) = -r(s) + 6*w(s). Find i, given that t(i) = 0.
0, 3
Suppose 4 - 3 - 8*k**2 - 1 + 4*k = 0. What is k?
0, 1/2
Suppose -2*x + 6 = -d - 0*d, x - 3 = 3*d. Factor 28*s**3 - 24*s - 2*s**2 + 16 - 2*s**2 + 2*s**5 - 17*s**4 + 5*s**4 - 6*s**x.
2*(s - 2)**3*(s - 1)*(s + 1)
Suppose -4*d - 5*m - 9 = 0, 0 = 3*d + m - 6 - 1. Let f(g) be the first derivative of 9/4*g**2 + 7/4*g**d + g - 1 + 1/12*g**6 + 3/5*g**5 + 8/3*g**3. Factor f(c).
(c + 1)**4*(c + 2)/2
Let i(q) be the third derivative of -q**8/560 + q**7/105 - q**6/50 + q**5/50 - q**4/120 + 7*q**2. Factor i(j).
-j*(j - 1)**3*(3*j - 1)/5
Let s(h) be the second derivative of 7*h + 0*h**2 - 2/5*h**5 + 0*h**3 + 0*h**4 + 0 - 26/15*h**6 - 40/21*h**7. Determine q so that s(q) = 0.
-2/5, -1/4, 0
Suppose -2*d - 4 + 12 = 0. Suppose -5*g + 2*g + 9 = -p, -3*p - d*g = -25. Solve 4*m**4 - 7*m**4 + 2*m**4 - m - 3*m**2 - p*m**3 = 0 for m.
-1, 0
Let z be -2 - (-2 - -2) - -10. Suppose 4*q - z*q = 0. Factor 1/2*o**3 + 0 + q*o - 1/2*o**2.
o**2*(o - 1)/2
Let v = -1047 + 73291/70. Let b(u) be the third derivative of 3*u**2 + 0*u + 0*u**3 + 1/420*u**6 + v*u**5 + 1/42*u**4 + 0. Factor b(l).
2*l*(l + 1)*(l + 2)/7
Solve 1/4*m**3 + 0 + 0*m + 0*m**2 = 0 for m.
0
Let i(p) be the first derivative of p**4/16 + p**3/6 - 3*p**2/8 + 2. Solve i(x) = 0 for x.
-3, 0, 1
Let d(b) be the third derivative of b**8/90720 - b**7/22680 - b**5/30 - 3*b**2. Let v(m) be the third derivative of d(m). Solve v(a) = 0 for a.
0, 1
Suppose 0 = -2*x + 2*k + 4, -21*x - 3*k = -23*x. Factor x*o**2 - 14/3*o - 4/3.
2*(o - 1)*(9*o + 2)/3
Let u be (-22 + 24)/(1 + 0/(-1)). Factor 0*c**u + 1/6*c**3 - 1/6*c + 0.
c*(c - 1)*(c + 1)/6
Let j be (2/6)/(39/(-183)). Let l = -3/13 - j. Factor 2/3*r**2 - l*r + 2/3.
2*(r - 1)**2/3
Suppose 0*r - 4*r = -36. Suppose -12 = 3*x - r*x. What is a in 1/4*a**4 + 1/4*a**3 + 0*a**x + 0 + 0*a = 0?
-1, 0
Let q(j) be the first derivative of -1/8*j**4 - 3/2*j**2 + 1/20*j**5 - 1/120*j**6 + 1/6*j**3 - 2 + 0*j. Let u(a) be the second derivative of q(a). Factor u(n).
-(n - 1)**3
Let s(c) = 2*c**2 + 7*c + 3. Let b be s(-5). Suppose -u = 6 - b. Suppose -u*n**2 + 9*n**2 + n + 4*n**3 - 2*n = 0. Calculate n.
-1/4, 0, 1
Let l be (-1)/1*(1/(-24) - 0). Let w(m) be the second derivative of 3*m + 0 + 0*m**2 + l*m**3 - 1/48*m**4. Solve w(k) = 0 for k.
0, 1
Suppose -w - 3 + 5 = 0. Factor -q - q**2 + 0*q**2 - 2*q**w + 2.
-(q + 1)*(3*q - 2)
Let g(o) be the second derivative of -1/18*o**3 + 1/60*o**5 - 1/36*o**4 + 0*o**2 + 0 + 2*o + 1/90*o**6. Suppose g(v) = 0. Calculate v.
-1, 0, 1
Let n = 7 - 3. Let i be 12/5 + n/(-10). Suppose 4*c - 11*c**2 + 6*c**i + 3*c**2 = 0. What is c?
0, 2
Let i(a) be the second derivative of -7*a**4/20 + 19*a**3/10 + 9*a**2/5 - 57*a. Solve i(b) = 0 for b.
-2/7, 3
Factor 0 + 6/7*p**2 - 6/7*p.
6*p*(p - 1)/7
Let l(v) be the third derivative of 4/135*v**5 - 2/27*v**3 + 0*v + 5*v**2 + 0 - 1/36*v**4 - 1/180*v**6. Factor l(b).
-2*(b - 2)*(b - 1)*(3*b + 1)/9
Let x be (-4)/(-40)*2*5. Let q be 14 + -12 - (x + -1). Determine s, given that 2/5*s**4 + 2/5*s**3 + 0*s + 0 + 0*s**q = 0.
-1, 0
Let s(i) be the second derivative of -i**6/168 + i**5/40 - i**4/28 - 4*i**3/3 + 2*i. Let k(q) be the second derivative of s(q). Factor k(n).
-3*(n - 1)*(5*n - 2)/7
Let t(f) be the second derivative of f**8/1120 - f**7/280 + 3*f**6/640 - f**5/320 - f**4/12 + 8*f. Let p(a) be the third derivative of t(a). Solve p(b) = 0.
1/4, 1
Factor 4/5*y + 0 + 6*y**2 - 32/5*y**4 + 48/5*y**3.
-2*y*(y - 2)*(4*y + 1)**2/5
Let j = -130702/7 - -18813. Let d = j - 141. Let -4/7*u**3 + 0*u**2 + 2/7*u**4 + 4/7*u - d = 0. Calculate u.
-1, 1
Let i = 122/5 + -24. Determine x, given that 1/5*x**2 + i - 3/5*x = 0.
1, 2
Let w be (-15)/45*6/(-10). Factor 1/5 - 2/5*l + w*l**2.
(l - 1)**2/5
Let r = -326 - -988/3. Solve 0 - 4/3*c**2 + r*c**3 + 0*c = 0 for c.
0, 2/5
Let p(h) be the first derivative of -1/70*h**5 - 3 + 1/21*h**3 - 1/105*h**6 + 1/42*h**4 - 2*h + 0*h**2. Let x(i) be the first derivative of p(i). Factor x(q).
-2*q*(q - 1)*(q + 1)**2/7
Let g(z) be the third derivative of 8*z**2 + 0*z - 1/20*z**5 + 1/40*z**6 + 1/2*z**3 - 1/8*z**4 + 0. Factor g(y).
3*(y - 1)**2*(y + 1)
Factor 0 - 1/2*m - 2*m**2.
-m*(4*m + 1)/2
Let a(x) be the second derivative of x**6/5 + 3*x**5/4 + x**4 + x**3/2 - 8*x. Factor a(t).
3*t*(t + 1)**2*(2*t + 1)
Let u(d) = -25*d**4 - 25*d**3 - 40*d**2 - 30*d + 30. Let j(o) = o**4 + o**3 + o**2 + o - 1. Let v(f) = -30*j(f) - u(f). Solve v(k) = 0 for k.
-2, 0, 1
Let d be (-1)/(-1) - (2 - 3). Suppose -6*v**3 + 3*v - 4*v**4 - 4*v**2 - 3*v**5 + d*v**5 - 4*v = 0. What is v?
-1, 0
Let v(o) = -o**3 + 4*o**2 + 7*o - 7. Let y be v(5). Let -8*u + 4*u**3 - 5*u**y + 9*u = 0. What is u?
-1, 0, 1
Let q(d) be the third derivative of 7*d**5/180 - 13*d**4/216 + d**3/27 - 7*d**2. Factor q(i).
(3*i - 1)*(7*i - 2)/9
Let m be (1*-8)/4*-2. Let n(z) be the third derivative of -1/12*z**m + 1/60*z**6 - 1/15*z**5 + 2/3*z**3 + 0*z + 0 - 3*z**2. Factor n(j).
2*(j - 2)*(j - 1)*(j + 1)
Suppose -o + 11 = 3. Let d be (-2 + 0)*(-1)/o. Suppose 1/4*h**4 + 0 + d*h**3 - 1/4*h - 1/4*h**2 = 0. Calculate h.
-1, 0, 1
Suppose -2*b = -2, b = -3*s - b + 20. Suppose -3*q + 3 = -s. Factor 9*t**2 - 81/5*t**q + 32/5*t + 4/5.
-(t - 1)*(9*t + 2)**2/5
Suppose 9*q - 693 = -675. Factor 1/4 - m**q + 3/4*m.
-(m - 1)*(4*m + 1)/4
Suppose 4*s = 2*l - 4, -7*s + 2*s - 6 = -3*l. Factor 2/7*p**5 + 0*p + 0*p**2 + s + 0*p**4 - 2/7*p**3.
2*p**3*(p - 1)*(p + 1)/7
Let r(n) = -n**2 + 12*n + 3. Let a be r(12). Suppose -2*u**5 + 21*u**2 + 2*u**a - 19*u**2 + 3*u**4 - 5*u**4 = 0. Calculate u.
-1, 0, 1
Let b be 5 - 2/(2/5). Let o(z) be the third derivative of 0 + 0*z**4 + 2*z**2 + b*z - 1/10*z**5 + 4/3*z**3 - 1/60*z**6. Find q, given that o(q) = 0.
-2, 1
Let c be (3 + (2 - -1))*14/21. Let m(t) be the first derivative of -1/3*t**3 - 5/12*t**c + 1/3*t**2 - 4 + 0*t. Factor m(x).
-x*(x + 1)*(5*x - 2)/3
Let s(w) be the second derivative of 6*w - 1/10*w**5 - 4/9*w**4 + 2/3*w**2 + 0 - 1/3*w**3. Determine d, given that s(d) = 0.
-2, -1, 1/3
Let q(o) be the first derivative of -o**5 + 25*o**4/2 - 60*o**3 + 135*o**2 - 135*o - 60. Factor q(c).
-5*(c - 3)**3*(c - 1)
Suppose 47*r + 59 = 247. Determine g, given that 1/4*g**r - 1/4*g**2 + 0 + 1/4*g - 1/4*g**3 = 0.
-1, 0, 1
Let