2 + 1/42*o**4 + 1/70*o**5 + 2*o + 0 + 0*o**3 + 1/420*o**6. Let y(l) be the first derivative of g(l). Factor y(n).
2*n*(n + 1)*(n + 2)/7
Let y(r) be the third derivative of r**8/112 + 16*r**7/105 + 47*r**6/60 + 2*r**5/3 - 25*r**4/24 - 5*r**2. Factor y(s).
s*(s + 1)*(s + 5)**2*(3*s - 1)
Solve -18 + 18*s + 2/3*s**3 - 6*s**2 = 0 for s.
3
Suppose 3*q - 13 = -4. Let y(l) be the second derivative of 1/36*l**4 - 1/6*l**q + 1/3*l**2 + 0 + 2*l. Solve y(r) = 0.
1, 2
Let h(f) = -f + 14. Let r be h(10). What is j in -5*j + r*j**2 + 3*j + 6*j = 0?
-1, 0
Let x(a) be the third derivative of -a**5/100 + 2*a**3/5 + 2*a**2. Factor x(u).
-3*(u - 2)*(u + 2)/5
Let d be (-20)/6 + -1 + 5. Let y(p) be the third derivative of -1/15*p**7 - 23/60*p**6 + p**2 + 0*p + 0*p**3 + 0 - 1/3*p**4 - d*p**5. Factor y(x).
-2*x*(x + 1)*(x + 2)*(7*x + 2)
Let j(i) be the second derivative of -i**6/105 + 3*i**5/70 - i**4/21 - 57*i. Factor j(g).
-2*g**2*(g - 2)*(g - 1)/7
Let v(r) = -10*r**4 + 12*r**3 - 18*r**2 + 5*r + 4. Let u(o) = -3*o**4 + 4*o**3 - 6*o**2 + 2*o + 1. Let b(k) = -7*u(k) + 2*v(k). Let b(j) = 0. What is j?
1
Let l(r) be the first derivative of 6/35*r**5 + 0*r**2 + 2/21*r**3 + 0*r - 1/21*r**6 + 4 - 3/14*r**4. Determine c, given that l(c) = 0.
0, 1
Find n such that -n - n**2 - 1 + 2*n - 2*n - n = 0.
-1
Let x(z) be the third derivative of -z**8/1848 - 2*z**7/1155 + z**6/165 + 4*z**5/165 - 23*z**2. Determine b, given that x(b) = 0.
-2, 0, 2
Let s(u) = 2*u**3 + 8*u**2 + 0 + 8*u**4 - 2*u**2 - 6*u**4 - 6. Let r(p) = -4*p**4 - 4*p**3 - 11*p**2 + 11. Let l(h) = -6*r(h) - 11*s(h). Factor l(b).
2*b**3*(b + 1)
Let s(q) be the second derivative of q**6/300 - q**5/50 + q**4/30 - q**2 + q. Let w(d) be the first derivative of s(d). Factor w(a).
2*a*(a - 2)*(a - 1)/5
Let a(p) be the third derivative of p**7/70 - p**6/40 - 18*p**2. Suppose a(r) = 0. Calculate r.
0, 1
Suppose 0 = 2*i + 5*n - 5, -i = i - 5*n - 15. Suppose 3*w - 4*o + 4 = 5*w, i*o - 5 = -w. Suppose -1/4*s**2 + 1/4*s + 1/4*s**4 + w - 1/4*s**3 = 0. Calculate s.
-1, 0, 1
Let d(t) = 4*t - 2 - 3*t + 3. Let q be d(-1). Factor -1/4*g**5 + 0*g + 0*g**2 + 0*g**3 + q - 1/4*g**4.
-g**4*(g + 1)/4
Let m be (-44)/3 - 26/13. Let v = m - -52/3. Factor -v*j**2 + 1/3*j + 1/3*j**5 + 1/3*j**4 + 1/3 - 2/3*j**3.
(j - 1)**2*(j + 1)**3/3
Let j(t) be the first derivative of t**6/33 - 4*t**5/55 + 4*t**3/33 - t**2/11 - 29. Suppose j(b) = 0. What is b?
-1, 0, 1
Let x(y) be the third derivative of -y**6/420 + y**5/210 + y**4/84 - y**3/21 - 2*y**2. Factor x(h).
-2*(h - 1)**2*(h + 1)/7
Let y(q) be the second derivative of q**4/28 - q**3/7 + 3*q**2/14 + 26*q. Factor y(d).
3*(d - 1)**2/7
Suppose -u + 2*b = u - 12, -6 = -4*u - 2*b. Factor 2*k**u + 2*k + k**3 - 4*k**3 + 0*k**3 + k**2.
-k*(k - 2)*(k + 1)
Let s(c) be the third derivative of -c**7/16380 + c**6/4680 + c**4/8 - 2*c**2. Let y(k) be the second derivative of s(k). Factor y(d).
-2*d*(d - 1)/13
Let b(o) = -o**2 - 6*o - 2. Let s be b(-6). Let t(r) = -3*r**2 - 4*r + 7. Let d(g) = -g**2 - g + 2. Let p(m) = s*t(m) + 7*d(m). Factor p(u).
-u*(u - 1)
Let r(s) be the first derivative of -s**3/3 + 2*s**2 - 4*s + 10. Factor r(i).
-(i - 2)**2
Let n(p) be the second derivative of p**5/10 + 5*p**4/6 + 7*p**3/3 + 3*p**2 + 16*p. Find c, given that n(c) = 0.
-3, -1
Let o = 7 - 5. Suppose 0 - 9 = -3*i + 3*w, 4*w - 6 = -o*i. Solve 10*y**5 + 3*y**4 + i*y**4 - 4*y**3 + 0*y**4 = 0.
-1, 0, 2/5
Let m(g) be the third derivative of g**9/7560 - g**7/2100 + g**3/3 + 2*g**2. Let b(k) be the first derivative of m(k). Factor b(w).
2*w**3*(w - 1)*(w + 1)/5
Suppose 4*u + u = 4*v + 9, -u + 17 = 3*v. Suppose -1/2*n**u - 1/2*n + n**2 - 1/2 + n**3 - 1/2*n**4 = 0. What is n?
-1, 1
Let p(q) be the second derivative of -q**8/20160 - q**7/7560 + q**4/6 - 3*q. Let l(a) be the third derivative of p(a). Solve l(s) = 0.
-1, 0
Let p(h) be the third derivative of h**8/50400 - h**7/6300 + h**6/1800 - h**5/60 + 3*h**2. Let m(g) be the third derivative of p(g). Find f such that m(f) = 0.
1
Let w(l) be the second derivative of -1/10*l**3 + 1/50*l**5 + 0 - 1/5*l**2 - l + 1/20*l**4. Factor w(y).
(y - 1)*(y + 2)*(2*y + 1)/5
Let b be 1/((15/(-6))/(-5)). Let m(s) be the second derivative of 0 + 0*s**5 - 1/105*s**6 - 2*s + 0*s**b + 1/42*s**4 + 0*s**3. Let m(f) = 0. What is f?
-1, 0, 1
Let j = 4891 - 1628701/333. Let q = 1318/2331 + j. Solve 2*x - q - 10/7*x**2 = 0.
2/5, 1
Let p(i) = 32*i**5 - 8*i**4 - 24*i**3 + 8*i**2. Let w(s) = -s**5 - s**3. Let f(y) = p(y) + 4*w(y). Determine d, given that f(d) = 0.
-1, 0, 2/7, 1
Let u(y) be the second derivative of -y**7/63 - y**6/15 - y**5/10 - y**4/18 - 13*y. Factor u(g).
-2*g**2*(g + 1)**3/3
Find x, given that 0 - 4/3*x - 1/3*x**3 - 5/3*x**2 = 0.
-4, -1, 0
Suppose 3*r - 1 = 11. Let a(q) be the first derivative of 7/10*q**5 + 5/8*q**r - 1/3*q**3 + 0*q**2 + 1 + 0*q. Factor a(v).
v**2*(v + 1)*(7*v - 2)/2
Let l be (2/(-25))/((-1)/((-15)/(-1))). Let l - 3/5*k**2 + 9/5*k**3 - 3/5*k**4 - 9/5*k = 0. Calculate k.
-1, 1, 2
Suppose -5*c = -5*b - 10, -b + 6*b = -5*c + 10. Factor -3*z + 2*z**2 + 2*z**2 - z**2 + b*z**2.
3*z*(z - 1)
Let l(m) be the second derivative of 2*m**7/63 - 2*m**6/45 - m**5/15 + m**4/9 + 21*m. Let l(g) = 0. What is g?
-1, 0, 1
Let q = 142 - 424/3. Let y be ((-2)/(-12))/((-1)/(-8)). Suppose 2*z + q*z**2 + y = 0. Calculate z.
-2, -1
Let v(l) = 3*l**4 + 4*l**2. Let g(c) = -c**2 + 6*c - 7. Let j be g(3). Let h(y) = -y**4 - y**2. Let k(r) = j*v(r) + 7*h(r). Factor k(b).
-b**2*(b - 1)*(b + 1)
Let z(n) = 5*n**2. Let q be z(-1). Factor 9*g**3 + 3*g**3 + 3*g**2 - 3*g**3 + 3*g**q + 0*g**2 + 9*g**4.
3*g**2*(g + 1)**3
Let w(v) be the third derivative of -v**5/20 + 5*v**4/48 + v**3/12 - 7*v**2. Let w(x) = 0. What is x?
-1/6, 1
Let n = 5/352 + 479/15840. Let t(d) be the third derivative of 0*d + 5/36*d**4 - 3*d**2 + 0 + 1/180*d**6 + 2/9*d**3 + n*d**5. Factor t(w).
2*(w + 1)**2*(w + 2)/3
Let f(p) = -5*p**3 + 11*p. Let s(j) = 3*j**3 - 6*j. Suppose -8 = -5*l + 22. Let z(c) = l*f(c) + 11*s(c). Factor z(m).
3*m**3
Let w(x) be the first derivative of -2*x**3/9 - 19*x**2/3 - 12*x + 47. Factor w(m).
-2*(m + 1)*(m + 18)/3
Let v(h) be the second derivative of 0 - 1/40*h**5 + 0*h**2 - 3*h + 1/12*h**3 + 0*h**4. Let v(k) = 0. What is k?
-1, 0, 1
Let g be (2828/(-960))/(-7) + (-4)/10. Let l(z) be the second derivative of 0*z**3 + 0 + 1/8*z**2 - 2*z - g*z**4. Factor l(a).
-(a - 1)*(a + 1)/4
Let n(d) be the second derivative of d**5/15 - 2*d**4/9 - 8*d**3/9 + 16*d**2/3 + 10*d. Factor n(x).
4*(x - 2)**2*(x + 2)/3
Let w = 2 - -1. Suppose 3*u - u - 3*q = 21, 22 = -u - 5*q. Find v, given that -v + 8*v**4 - 2*v**5 - 2*v**u - 7*v**3 - w*v**3 + 8*v**2 - v = 0.
0, 1
Find l, given that 1/4*l**3 + 0*l + 1 - 3/4*l**2 = 0.
-1, 2
Let b(n) be the second derivative of 0 - n - 1/60*n**5 + 0*n**3 + 1/90*n**6 + 0*n**4 + 0*n**2. Suppose b(z) = 0. What is z?
0, 1
Factor 163*b - 163*b + b**3 - b**2.
b**2*(b - 1)
Let w = 622/1045 - -1/209. Suppose -1/5*g**3 - w*g**2 - 2/5*g + 0 = 0. What is g?
-2, -1, 0
Let p(k) be the second derivative of -1/60*k**6 + 0 + 1/20*k**5 + 1/8*k**4 - 2/3*k**3 + k**2 + 8*k. Let p(j) = 0. Calculate j.
-2, 1, 2
Let x(i) = 21*i**2 - 29. Let k(r) = -4*r**2 + 6. Let u(z) = -11*k(z) - 2*x(z). Determine l so that u(l) = 0.
-2, 2
Let r(t) = 0*t**2 - t + 2*t**2 - 3*t**2. Let l(m) = -7*m - 2 - 21*m**2 + 0 + 16*m**2. Let z(u) = l(u) - 4*r(u). Solve z(d) = 0 for d.
-2, -1
Suppose 8*b - 12*b + 12 = 0. Let p(w) be the second derivative of 1/6*w**4 + 1/3*w**b - 1/10*w**5 - 2*w + 0 - w**2. What is i in p(i) = 0?
-1, 1
Factor 4/5*t**3 - 3/5 - 17/5*t**2 + 16/5*t.
(t - 3)*(t - 1)*(4*t - 1)/5
Let j(r) = r**2 + 16*r - 25. Let n be j(-17). Let g be (-8)/22*4/n. Factor g*s**2 + 0 + 2/11*s.
2*s*(s + 1)/11
Let y = 1618/7 + -6914/35. Find h, given that 128/5*h**2 + y*h**3 - 243/5*h**5 - 432/5*h**4 + 16/5*h + 0 = 0.
-2, -2/9, 0, 2/3
Let q(v) = 2*v - 1. Let y be q(3). Suppose 5*u - 4*u = y*p + 5, 5 = -2*p + u. Factor p - d + 4*d**2 - 3*d**2 - 2.
(d - 2)*(d + 1)
Suppose -10*z = 5*z - 4*z. Let t(p) be the second derivative of z + 2/7*p**2 - 1/42*p**4 + 2*p - 1/21*p**3. Suppose t(k) = 0. What is k?
-2, 1
Let g be 16*(2/42)/((-8)/(-12)). Factor 6/7*d + 2/7*d**5 + 4/7 + 0*d**4 - g*d**3 - 4/7*d**2.
2*(d - 2)*(d - 1)*(d + 1)**3/7
Suppose -3*z = 3*h - 15, -5*h - 4