/14 - 4*p**3/21 - 10*p**2. Find z such that j(z) = 0.
-1, -1/3, 2
Let r(d) be the second derivative of d**6/255 - d**5/170 - d**4/102 + d**3/51 + 17*d. Factor r(i).
2*i*(i - 1)**2*(i + 1)/17
Let u(l) = 3*l**3 + 15*l**2 + 50*l + 36. Let p(d) = -25*d**3 - 121*d**2 - 401*d - 288. Let v(a) = -6*p(a) - 51*u(a). Factor v(y).
-3*(y + 1)*(y + 6)**2
Factor -250/9*m + 0 - 28/9*m**4 + 40/3*m**3 - 100/9*m**2 + 2/9*m**5.
2*m*(m - 5)**3*(m + 1)/9
Factor 13/2*v**2 - 1/2*v**3 + 11/2 - 23/2*v.
-(v - 11)*(v - 1)**2/2
Let n = 28/33 - 2/11. Let p be (-1 + 1)*(-2 + 1). What is m in 0*m**2 + p*m + 0 + n*m**3 = 0?
0
Let u(c) = -c**2 + 33*c + 190. Let f be u(-5). Factor 2/5*k + 1/5*k**2 + f.
k*(k + 2)/5
Let u(c) be the second derivative of c**6/30 - 7*c**5/20 + 11*c**4/12 - 5*c**3/6 + 42*c. Find d, given that u(d) = 0.
0, 1, 5
Let p = 8 + -8. Factor -2/5*g**5 - 2/5*g + 0*g**4 + 4/5*g**3 + 0 + p*g**2.
-2*g*(g - 1)**2*(g + 1)**2/5
Let -3/7*b - 6/7*b**4 + 0 + 3/7*b**5 + 0*b**3 + 6/7*b**2 = 0. What is b?
-1, 0, 1
Let q(y) = 2*y - 3. Let t be q(5). Suppose b - t = -2. What is z in -2*z**5 + z**5 - b*z**4 - z**3 + 3*z**4 = 0?
-1, 0
Suppose 24 + 8 = 4*t. Find o, given that 4*o**5 - o - 3*o - 3*o**4 - 5*o**4 + t*o**2 = 0.
-1, 0, 1
Let o(b) be the second derivative of -b**6/15 + b**5/20 + b**4/12 + 18*b. Find v such that o(v) = 0.
-1/2, 0, 1
Let o(u) be the first derivative of u**5/10 - u**4 + 4*u**3 - 8*u**2 - 3*u - 3. Let a(n) be the first derivative of o(n). Factor a(s).
2*(s - 2)**3
Let b(k) be the second derivative of -1/45*k**6 + 1/18*k**3 + 1/18*k**4 - 1/126*k**7 + 0*k**2 - 2*k + 0*k**5 + 0. Factor b(y).
-y*(y - 1)*(y + 1)**3/3
Let d(j) = -2*j - 26. Let y be d(-13). Solve -1/3*w**2 + 5/3*w**5 + 13/3*w**4 + y - 2/3*w + 3*w**3 = 0 for w.
-1, 0, 2/5
Let x(w) = w - 22. Let l be x(24). Suppose 2/5*h**l - 4/5*h + 0 = 0. Calculate h.
0, 2
Let l = -3 - -2. Let p(j) = -j**2 - 1. Let c(d) = 4*d**2 + 2*d + 4. Let r(u) = l*c(u) - 5*p(u). Factor r(f).
(f - 1)**2
Determine y so that -265*y**3 + 6*y - 2*y + 4*y**5 + 257*y**3 = 0.
-1, 0, 1
Let a(j) be the third derivative of 1/60*j**6 - 1/12*j**4 + 0 + 0*j - j**2 + 0*j**3 + 0*j**5. Find i such that a(i) = 0.
-1, 0, 1
Let d(y) be the second derivative of -y**5/5 + 2*y**3/3 + 15*y. Factor d(o).
-4*o*(o - 1)*(o + 1)
Solve -1/8*h**2 + 5/8*h**4 - 1/4*h**5 + 1/8*h + 0 - 3/8*h**3 = 0.
-1/2, 0, 1
Let h(g) be the second derivative of g**7/315 + g**6/225 + g - 4. Suppose h(o) = 0. What is o?
-1, 0
Let s**3 - 3*s**2 - s**2 - 4*s**3 + 5*s**2 = 0. Calculate s.
0, 1/3
Let y(h) = 11*h**2 + 2*h + 13. Let z(m) = -5*m**2 - m - 6. Let a(o) = 6*o - 1. Let l be a(-2). Let u(p) = l*z(p) - 6*y(p). Find k, given that u(k) = 0.
0, 1
Let a be (-51)/(-85)*2/6. Factor 1/5*i**2 + 0 + a*i**3 + 0*i.
i**2*(i + 1)/5
Let t(v) be the third derivative of v**6/1020 - v**5/170 - 13*v**2. Suppose t(c) = 0. What is c?
0, 3
Let n(h) be the second derivative of -1/6*h**4 + 0*h**3 + h**2 + 2*h + 0. Factor n(b).
-2*(b - 1)*(b + 1)
Find s such that 8/5 + 2/5*s**2 + 8/5*s = 0.
-2
Let u(r) be the third derivative of r**6/120 + 3*r**5/40 + r**4/4 + 2*r**3/3 - 3*r**2. Let d(a) be the first derivative of u(a). Factor d(w).
3*(w + 1)*(w + 2)
Let k(w) be the second derivative of -1/78*w**4 + 0 - 1/13*w**2 - w - 2/39*w**3. Factor k(q).
-2*(q + 1)**2/13
Let q(j) be the third derivative of 0*j**3 + 5*j**2 + 0*j - 1/60*j**5 + 0 + 1/24*j**4. Factor q(u).
-u*(u - 1)
Let k = -24 + 13. Let z = 13 + k. Factor -1/2*h**5 + 0 - h**4 + 0*h**z + 0*h - 1/2*h**3.
-h**3*(h + 1)**2/2
Let r be ((-1)/1)/((-42)/14). Let s(x) be the first derivative of 2 - x**2 - r*x**3 + 0*x. Let s(w) = 0. What is w?
-2, 0
Let y(s) be the first derivative of -s**5 + 5*s**4/2 + 5*s**3 - 20*s**2 + 20*s - 12. Solve y(g) = 0 for g.
-2, 1, 2
Factor 2/7*b**4 + 10/7*b**2 - 8/7*b**3 - 4/7*b + 0.
2*b*(b - 2)*(b - 1)**2/7
Suppose 4*b - 5*y - 23 = 0, -b + 5*y + 3 = -14. Let 8/5*m**b - 2/5 - 6/5*m = 0. What is m?
-1/4, 1
Let w(j) = -1. Let p(b) = -b**2 + 2*b. Let c(r) = 5*p(r) + 5*w(r). Solve c(s) = 0 for s.
1
Let v(y) = y**3 - y**2 + 2*y - 2. Let i be v(2). Let b be ((-5)/((-20)/i))/3. Factor -1/2*g - b*g**2 + 1.
-(g - 1)*(g + 2)/2
Let s be (33/3)/1 + -3. Let a be (-2)/((-2 + 5)/(-6)). Let s + 2*u**2 + 5*u + 7*u - a*u = 0. What is u?
-2
Let r be 24/15 + 2/5. Suppose -3*d + r*u - 5*u + 12 = 0, -d + 5 = 2*u. Factor -2/7*m**2 - 2/7*m + 2/7 + 2/7*m**d.
2*(m - 1)**2*(m + 1)/7
Let u(b) = 56*b**4 + 22*b**3 - 66*b**2 + 12*b + 10. Let h(n) = -5*n**4 - 2*n**3 + 6*n**2 - n - 1. Let z(a) = 68*h(a) + 6*u(a). Find k, given that z(k) = 0.
-2, -1, 1
Let v = -10 - -8. Let r(b) = 5*b**2 + 8*b + 5. Let w(g) = -g**2 - 2*g - 1. Let c(i) = v*r(i) - 9*w(i). Find u, given that c(u) = 0.
1
Factor -2/3*f - 8/3*f**3 - 10/3*f**2 + 0.
-2*f*(f + 1)*(4*f + 1)/3
Let r(p) = -p**3 - 2*p**2 - 7*p + 5. Let b be r(4). Let z be b/374 - (-2)/4. Factor -2/11 + 0*s + z*s**2.
2*(s - 1)*(s + 1)/11
Let s be 4*(1/(-6))/(2/(-12)). What is c in 0*c**3 + 2/9*c**2 - 2/9*c**s + 0*c + 0 = 0?
-1, 0, 1
Let a(d) be the third derivative of -d**5/300 + d**3/30 - 6*d**2. Find w, given that a(w) = 0.
-1, 1
Let d be (1 + (1 - 2))/(-1*2). Let f(k) be the first derivative of 4/3*k**3 + 2 + 1/4*k**4 + 2*k**2 + d*k. Find t such that f(t) = 0.
-2, 0
Let t(i) be the second derivative of 0 + 0*i**2 - 9*i + 0*i**4 + 1/5*i**5 - 2/3*i**3. Let t(n) = 0. Calculate n.
-1, 0, 1
Suppose -5*d - 2*y = 4, 3*d = -3*y - 6 - 0. Let a(b) be the third derivative of -1/9*b**3 + 0*b + d + 1/90*b**5 + 0*b**4 + b**2. Factor a(v).
2*(v - 1)*(v + 1)/3
Let a(q) be the third derivative of 0*q**3 + 3*q**2 + 0 + 7/40*q**5 + 0*q + 1/8*q**4. Factor a(k).
3*k*(7*k + 2)/2
Suppose -2*g - 6 = -14. Suppose -h**2 + h - 2*h**4 + 2*h**g - h**3 + 0*h**2 + h**4 = 0. What is h?
-1, 0, 1
Let t be (1/28*4)/((-1)/(-1)). Factor 0 - 3/7*u**2 - 2/7*u + t*u**4 + 0*u**3.
u*(u - 2)*(u + 1)**2/7
Suppose 5*s = v + 15, s + 5*v - 6 = -s. Let d(x) = -x**2 - 4*x + 2. Let g be d(-4). Factor -g*t**s + 2*t**2 - 2*t + 2*t.
-2*t**2*(t - 1)
Let d(h) be the third derivative of 3*h**8/2240 - h**7/560 - h**6/120 + h**5/12 - 2*h**2. Let t(b) be the third derivative of d(b). Factor t(s).
3*(3*s - 2)*(3*s + 1)
Factor -3/4 + 3/2*w**2 + 0*w**3 - 3/4*w**4 + 0*w.
-3*(w - 1)**2*(w + 1)**2/4
Let x(s) = -s**3 + 4*s**2 - 4*s + 5. Let t be 20/8 - 2/(-4). Let m be x(t). Factor m*v + 2/3 + 4/3*v**2.
2*(v + 1)*(2*v + 1)/3
Let n(y) be the first derivative of -y**3 - 3*y**2/2 + 18*y + 26. Factor n(h).
-3*(h - 2)*(h + 3)
Suppose -2*j - 2*j = 0. Let h = 2 + j. Factor -a**3 + h*a**3 - 2*a**3.
-a**3
Let y(m) = m - 7. Let k be y(7). Suppose k = 5*d + 5*x - 5, 0*d + 3*x = -4*d + 5. Factor -2*f**d + 8 - 4*f**2 + f**3 + f**3.
2*(f - 2)**2*(f + 1)
Let a = -99 + 299/3. Factor 2/3*v**2 + a + 4/3*v.
2*(v + 1)**2/3
Suppose 0 = -17*r + 28 + 23. Factor -1/3*c**r - c - 1/3 - c**2.
-(c + 1)**3/3
Let o(f) be the second derivative of f**5/70 - f**4/63 - f**3/21 + 2*f**2/21 - 12*f. Factor o(q).
2*(q - 1)*(q + 1)*(3*q - 2)/21
Let t = 209/2580 + -4/129. Let r(i) be the second derivative of t*i**4 - i + 1/5*i**3 + 3/10*i**2 + 0. Factor r(h).
3*(h + 1)**2/5
Let b(n) be the first derivative of 3*n**4/4 - 2*n**3 - 37. What is g in b(g) = 0?
0, 2
Let y(g) be the first derivative of 1/2*g**6 + 3/5*g**5 - 3/2*g**4 - 2*g**3 + 3*g + 3/2*g**2 - 3. Factor y(a).
3*(a - 1)**2*(a + 1)**3
Suppose x + 0*x = 0. Let y(q) be the second derivative of -1/70*q**5 - 1/21*q**4 + q - 1/21*q**3 + x + 0*q**2. Factor y(p).
-2*p*(p + 1)**2/7
Suppose -9*a - 52 = -61*a. Find j, given that -a + 1/3*j**2 - 2/3*j = 0.
-1, 3
Let o(p) be the first derivative of 1/12*p**6 + 0*p**3 - 1 + 0*p**5 + 0*p + 0*p**2 - 1/8*p**4. Factor o(h).
h**3*(h - 1)*(h + 1)/2
Let c(n) be the first derivative of 2*n**5/5 + 11*n**4/6 + 10*n**3/3 + 3*n**2 + 4*n/3 - 1. Factor c(u).
2*(u + 1)**3*(3*u + 2)/3
Let b(q) = q**2 + 17*q - 18. Let t be b(-18). Let y(k) be the first derivative of t*k**2 + 1/5*k**5 - 3/4*k**4 + 0*k + 3 + 2/3*k**3. Factor y(o).
o**2*(o - 2)*(o - 1)
Let x be (-5)/(-15)*(3 + -2). Let y(w) be the first derivative of 0*w - 1/2*w**2 - 1 - x*w**3. Solve y(i) = 0.
-1, 0
Let h be 44/12 - (-6)/(-9). Factor 0*v - 2/9*v**h + 0 + 2/9*v**2.
-2*v**2*(v - 1)/9
Let w(a) = 4*a - 22. Let q be w(6). Factor -2/7*b - 2/7*b**q + 4/7.
-2*(b - 1)*(b + 2)/7