e the first derivative of 0*i**o + 1/7*i**2 + 0*i + 1 - 1/14*i**4. Factor j(d).
-2*d*(d - 1)*(d + 1)/7
Factor -3 + 3 + 3*b**2 + 1 - 4.
3*(b - 1)*(b + 1)
Let s(y) be the third derivative of 3*y**8/112 - y**7/10 + y**6/8 - y**5/20 + 8*y**2. Factor s(d).
3*d**2*(d - 1)**2*(3*d - 1)
Suppose 0 + 0*o**2 - 6*o**5 + 14/3*o**4 + 4/3*o**3 + 0*o = 0. What is o?
-2/9, 0, 1
Let m(g) be the second derivative of -g**7/70 - g**6/8 - 9*g**5/20 - 7*g**4/8 - g**3 - g**2/2 - g. Let s(j) be the first derivative of m(j). Factor s(p).
-3*(p + 1)**3*(p + 2)
Let q(f) be the second derivative of f**8/5040 - f**6/540 + f**4/72 - f**3/3 + 2*f. Let v(z) be the second derivative of q(z). What is x in v(x) = 0?
-1, 1
Let f(c) be the second derivative of -2/3*c**3 + 0 + 2*c**2 + 49/20*c**5 + 2*c - 49/12*c**4. Solve f(j) = 0.
-2/7, 2/7, 1
Let z(n) be the third derivative of -n**5/60 + n**4/4 + 3*n**3/2 - 3*n**2. Let r be z(7). Let -k**2 - 2*k**3 - 3*k**2 + k**3 - k**3 - r*k = 0. Calculate k.
-1, 0
Let f(r) = -r**2 - 1. Let m(k) = 9*k**2 + 9*k + 6. Let v(l) = -6*f(l) - m(l). Suppose v(g) = 0. What is g?
-3, 0
Let i(a) be the first derivative of -a**3/5 + 3*a**2/2 - 12*a/5 + 17. What is h in i(h) = 0?
1, 4
Let v(b) be the first derivative of b**4/4 + b**2/2 - b + 3. Let u(g) = -2*g**3 - 4*g + 3. Let l(o) = u(o) + 3*v(o). Factor l(c).
c*(c - 1)*(c + 1)
Let d(l) be the first derivative of -3*l**5/5 - 3*l**4/2 + l**3 + 3*l**2 - 12. Factor d(t).
-3*t*(t - 1)*(t + 1)*(t + 2)
Let c(l) be the third derivative of -l**7/42 + l**6/8 - 5*l**4/6 - 33*l**2. What is x in c(x) = 0?
-1, 0, 2
Let d be (-4)/(-6) - 1/3. Let t be 8/(-2) + (-26)/(-6). Factor t*r**2 - 1/3*r**3 + d*r - 1/3.
-(r - 1)**2*(r + 1)/3
Let z = -27 + 1621/60. Let i(j) be the third derivative of -1/12*j**4 - 1/30*j**5 + z*j**6 + 4*j**2 + 0*j + 0 + 1/3*j**3. Factor i(r).
2*(r - 1)**2*(r + 1)
Let h(y) = -15*y**2 + 33*y + 9. Let t(n) = 7*n**2 - 16*n - 4. Let l(q) = 4*h(q) + 9*t(q). Find v, given that l(v) = 0.
0, 4
Let r(v) be the first derivative of -v**5/25 - 3*v**4/20 - v**3/5 - v**2/10 + 20. Let r(g) = 0. What is g?
-1, 0
Let m(z) = 10*z**2 - 38*z + 8. Let w(y) = y + 1. Let j(s) = m(s) + 4*w(s). Suppose j(x) = 0. What is x?
2/5, 3
Let w(f) = f**3 + 4*f**2 + 3*f + 2. Let g be w(-2). Let j(l) be the second derivative of 0*l**2 + 0 - 1/9*l**g - 1/30*l**5 - 2*l - 1/9*l**3. Factor j(i).
-2*i*(i + 1)**2/3
What is b in 15*b - 31*b**2 + 7*b + 30*b**2 - 121 = 0?
11
Let f = 34/15 - -2/5. Find w, given that -f*w**3 - 4*w**2 - 8/3*w - 2/3*w**4 - 2/3 = 0.
-1
Let u(i) be the second derivative of -i**10/30240 + i**9/7560 - i**7/1260 + i**6/720 + i**4/2 - i. Let w(s) be the third derivative of u(s). Factor w(b).
-b*(b - 1)**3*(b + 1)
Let c = -8 - -11. Let b(l) be the second derivative of -16/15*l**6 - l + 0*l**2 - 1/3*l**c + 0 + 8/5*l**5 + 1/6*l**4. Solve b(j) = 0.
-1/4, 0, 1/4, 1
Let o(z) be the third derivative of 0 + 0*z - 1/240*z**5 - 3*z**2 - 1/96*z**4 + 0*z**3. Find x, given that o(x) = 0.
-1, 0
Let i = -487 - -983/2. Factor -3/2*r**2 + 0 + i*r.
-3*r*(r - 3)/2
Let p(f) be the first derivative of 2*f**3/15 + 3*f**2/10 + f/5 - 1. Factor p(s).
(s + 1)*(2*s + 1)/5
Let u(t) be the second derivative of -1/3*t**4 + 0*t**2 + 0*t**5 + 1/3*t**3 + 2/15*t**6 + 3*t - 1/21*t**7 + 0. Factor u(k).
-2*k*(k - 1)**3*(k + 1)
Suppose 0 = 4*s - 0*s. Solve -6*z**2 + s*z**2 + 3 + 0*z**2 + 3*z**2 = 0.
-1, 1
Let j(n) be the second derivative of n**5/270 - 4*n**3/27 + n**2 - n. Let w(b) be the first derivative of j(b). Let w(z) = 0. Calculate z.
-2, 2
Suppose u = -5*a - 3, 84*u - 80*u + 12 = a. Factor 0 + a*i - 2/5*i**3 - 4/5*i**2.
-2*i**2*(i + 2)/5
Let h(s) = -s**3 + 4*s**2 + 4*s - 1. Let g be h(4). Let 9*y**3 - g*y**5 + 11*y**4 + 3*y**4 - 10*y**4 + 2*y**2 = 0. Calculate y.
-2/5, -1/3, 0, 1
Let f(b) be the first derivative of -4*b**5/5 + b**4/10 + 14*b**3/15 + 2*b**2/5 + 5. Find s, given that f(s) = 0.
-1/2, -2/5, 0, 1
Factor 2*h**3 - 4/3*h**2 + 0*h - 2/3*h**4 + 0.
-2*h**2*(h - 2)*(h - 1)/3
Solve 6/5*a**3 + 0*a + 2/5*a**4 + 0 + 4/5*a**2 = 0.
-2, -1, 0
Let s(l) be the second derivative of l**4/3 - 4*l**3/3 - 6*l**2 - 19*l. Find n, given that s(n) = 0.
-1, 3
Let h(s) be the third derivative of 7*s**5/20 + 3*s**4/4 - s**3/2 + 10*s**2. Factor h(a).
3*(a + 1)*(7*a - 1)
Let p be (-37 - -31) + (-57)/(-9). Factor -p*m**2 - m - 2/3.
-(m + 1)*(m + 2)/3
Let u(n) be the second derivative of n**8/20160 + n**7/3780 - n**6/2160 - n**5/180 - n**4/12 - n. Let i(q) be the third derivative of u(q). Factor i(h).
(h - 1)*(h + 1)*(h + 2)/3
Let r(o) = 4*o**2 - 3*o + 8. Let q(k) = 3*k**2 - 4*k + 7. Let n(u) = 3*q(u) - 2*r(u). Let n(p) = 0. What is p?
1, 5
Suppose 8 - 44 = -2*a - 4*j, -4*a - 4*j = -60. Let x be 20/(-6)*a/(-10). Factor 0*d**3 + 1/5*d**2 + 0*d - 1/5*d**x + 0.
-d**2*(d - 1)*(d + 1)/5
Factor -7/6*o + 5/3 + 1/6*o**2.
(o - 5)*(o - 2)/6
Let y(l) be the third derivative of 0*l + 1/336*l**8 - 6*l**2 - 1/15*l**5 - 1/60*l**6 + 0 + 1/3*l**3 + 1/24*l**4 + 1/105*l**7. Factor y(i).
(i - 1)**2*(i + 1)**2*(i + 2)
Let o(n) be the first derivative of -14/27*n**3 + 4 + 0*n + 4/9*n**4 - 2/15*n**5 + 2/9*n**2. Factor o(m).
-2*m*(m - 1)**2*(3*m - 2)/9
Let k = -21 - -65/3. Factor 2/3 - k*d**2 - 2/3*d + 2/3*d**3.
2*(d - 1)**2*(d + 1)/3
Suppose -3 - 5*o**2 - 15*o + 4 - 11 = 0. What is o?
-2, -1
Solve 18*d**4 - 4*d**3 - 6*d**4 + 12*d**3 + 4*d**5 = 0.
-2, -1, 0
Let v = 10/17 - 3/34. Let -1 - v*y**2 + 9/2*y + 39/2*y**4 - 31/2*y**3 - 7*y**5 = 0. Calculate y.
-1/2, 2/7, 1
Let z(c) be the first derivative of -2/9*c**3 + 3 - 2/3*c + 2/3*c**2. Factor z(l).
-2*(l - 1)**2/3
Let q be (-1 - -1)*(-2 + 1). Factor -4*j**4 - 2*j**2 + 6*j**4 + q*j**4.
2*j**2*(j - 1)*(j + 1)
Let f(n) be the third derivative of -n**6/15 + n**5/6 - n**4/12 - 5*n**2 + 3. Solve f(h) = 0 for h.
0, 1/4, 1
Suppose -2*r = 3*y - 39, -4*r + y + 53 = -4. Let c be ((-6)/r)/(12/(-15)). Suppose -c*i**2 + i + 0 = 0. What is i?
0, 2
Let r be 4/(-20) + (-162)/(-10). Let y be (-12)/18 + r/6. Factor y - o - o**2 - 2.
-o*(o + 1)
Let k(o) = -o**3 - 5*o**2 - 6*o - 5. Let u be 2 + (-1 + -5)/1. Let b be k(u). Determine z, given that 0 + 0*z + 2/3*z**4 + 0*z**2 + 1/3*z**5 + 1/3*z**b = 0.
-1, 0
Let f(r) = -r**2 + 7*r - 2. Let a(j) = -j**2 + 6*j - 1. Let y(m) = -4*a(m) + 3*f(m). Let v be y(4). Factor -1/2*p - p**v + 1 + 1/2*p**3.
(p - 2)*(p - 1)*(p + 1)/2
Let i = -75 - -105. Factor -18*x - i*x**3 - 1 + 24*x**2 + 20*x**3 + 5.
-2*(x - 1)**2*(5*x - 2)
Factor -10/13*y**4 + 0 + 18/13*y**3 - 14/13*y**2 + 2/13*y**5 + 4/13*y.
2*y*(y - 2)*(y - 1)**3/13
Let g be 1 + 16/(-6) + 2. Factor 0 + g*j - 1/3*j**2.
-j*(j - 1)/3
Suppose 0 = -3*t + 2*t + 6. Let s(k) = -2*k**4 - 7*k**3 + 13*k**2 - 4*k. Let j(u) = 2*u**4 + 6*u**3 - 12*u**2 + 4*u. Let y(x) = t*s(x) + 7*j(x). Factor y(p).
2*p*(p - 1)**2*(p + 2)
Let t be -1 + 1 + 402/12. Let h = -465/2 + 292. Factor -49/2*w**5 - h*w**4 + 8*w - t*w**3 - 2 + 23/2*w**2.
-(w + 1)**3*(7*w - 2)**2/2
Let p(l) = 4*l**2 - 8*l - 8. Let z(y) = 3*y**2 - 8*y - 8. Let u(t) = -5*p(t) + 6*z(t). Let u(q) = 0. What is q?
-2
Suppose -5*t = 2*t + 14*t. Suppose 7/4*n**2 + 1/2*n**3 + 1/2*n - 3/4*n**4 + t = 0. Calculate n.
-1, -1/3, 0, 2
Suppose -3*v - 37 = -5*p, v = -0 - 4. Let m = -3 + p. Factor -4*k + 6*k - m*k**2 + 0*k.
-2*k*(k - 1)
Let r(w) be the first derivative of 25*w**3/3 + 45*w**2/2 - 10*w + 16. Factor r(m).
5*(m + 2)*(5*m - 1)
Let r(t) be the first derivative of -1 - 2/3*t + 0*t**2 + 2/9*t**3. What is d in r(d) = 0?
-1, 1
Let w be (-2 + 1)/((-5)/20). Let n(h) be the first derivative of -1/9*h**3 + 4 + 0*h - 1/3*h**2 + 1/12*h**w. Factor n(v).
v*(v - 2)*(v + 1)/3
Let v be (1 - 1*2)*-2. Let l be 4/(-12) - (-1 - 0). Find z, given that 2/3*z**v + 0*z - l = 0.
-1, 1
Let g(z) be the third derivative of z**6/30 - z**5/15 - z**4/3 + 16*z**2. Factor g(r).
4*r*(r - 2)*(r + 1)
Let n(t) = 3*t**2 + 5*t + 2. Let p be n(-2). Let d(x) be the second derivative of 1/42*x**p - 3*x + 1/7*x**2 - 2/21*x**3 + 0. Factor d(q).
2*(q - 1)**2/7
Let m(w) be the second derivative of -1/3*w**4 + 3*w + 0 + 0*w**3 + 0*w**2 - 1/10*w**5. Factor m(k).
-2*k**2*(k + 2)
Let l(i) be the first derivative of i**3/6 - 3*i**2/4 + i + 13. Suppose l(q) = 0. Calculate q.
1, 2
Let p = 269 - 266. Let l(r) = 2*r**2 + 3*r + 3. Let w be l(-2). Find y, given that 8/9*y**w - 14/9*y**2 + 2/9*