ctor h(u).
3*u**2*(u + 1)*(7*u - 2)/7
Let -3*v + 5*v**3 - 2*v**3 - 2 - 1 - 6*v**2 + 9*v**2 = 0. Calculate v.
-1, 1
Let o(b) be the first derivative of b**4/24 - 5*b**3/6 + 25*b**2/4 - 125*b/6 - 23. Find s, given that o(s) = 0.
5
Suppose 5*f = -2*i + 4, -5*f = 3*i - 0*i - 6. Let v(p) be the first derivative of 0*p - 2/3*p**3 + 1/2*p**i + 1 + 1/4*p**4. Factor v(s).
s*(s - 1)**2
Let u be 5 - ((-2706)/54)/(-11). Let a be 2/(-8) - (-50)/72. Solve -2/3*j**4 - 2/3*j + 2/9 + u*j**3 + a*j**2 + 2/9*j**5 = 0 for j.
-1, 1
Let i(t) = 6 - 2*t + 0*t + 3*t - 15. Let s be i(15). Factor -s*x**2 - 10/3*x**3 - 2/3*x**4 - 14/3*x - 4/3.
-2*(x + 1)**3*(x + 2)/3
Let f = 173/9 - 19. Find y such that -f*y**2 + 0 - 2/9*y**5 - 2/3*y**4 + 0*y - 2/3*y**3 = 0.
-1, 0
Let j(s) be the first derivative of s**5/30 - s**4/6 + s**3/6 - 10. Suppose j(r) = 0. What is r?
0, 1, 3
Let y(q) be the second derivative of -q**5/15 - 5*q**4/9 - 2*q**3/3 + 6*q**2 + 2*q. Factor y(h).
-4*(h - 1)*(h + 3)**2/3
Suppose 50 = 5*i + 5*p, 2*i = 4*i + 4*p - 22. Let g be 2*1/(6/i). Let 2/5 + 4/5*q**g + 6/5*q**4 - 4/5*q - 8/5*q**2 = 0. Calculate q.
-1, 1/3, 1
Suppose f - 4*f - 6 = 0, 2*f + 7 = n. Let y(j) be the first derivative of 0*j**n + 3 + 0*j + 1/16*j**4 + 0*j**2. Factor y(x).
x**3/4
Factor 2/11*c**3 + 0*c**2 + 0 - 2/11*c**4 + 0*c.
-2*c**3*(c - 1)/11
Suppose 4*c + 3*n = -31, -2*n + 1 = -2*c + 3. Let v = 7 + c. Factor 20 + v*t**4 - 16 + 14*t - t**4 + 10*t**3 + 18*t**2.
2*(t + 1)**3*(t + 2)
Let j(n) = -n**3 - 5*n**2 + 4*n - 6. Let b be j(-6). Suppose b = 5*h - 4. Find f, given that 0 + 2/9*f**3 + 2/9*f - 4/9*f**h = 0.
0, 1
Let p(q) = q**2 - 15*q + 29. Let y be p(13). Suppose 0 = 3*h + 12, h + 15 = y*t - 1. Let 2/7*m**3 - 2/7*m**5 - 2/7*m**t + 2/7*m**2 + 0 + 0*m = 0. Calculate m.
-1, 0, 1
Let g be 4 - ((8 - 1) + (7 - 10)). Let k(h) be the third derivative of 1/150*h**5 + 0*h**3 - 1/60*h**4 + 0*h - 4*h**2 + g. Determine d, given that k(d) = 0.
0, 1
Let q(r) = -r**2 + 2*r - 2. Let l(j) = j**2 - 3*j + 2. Let m(y) = 5*l(y) + 6*q(y). Factor m(h).
-(h + 1)*(h + 2)
Let m(h) be the second derivative of -h**8/2520 + h**6/270 - h**4/36 + 2*h**3/3 - 5*h. Let z(x) be the second derivative of m(x). Solve z(s) = 0.
-1, 1
Let j(t) be the second derivative of -t**4/30 + 2*t**3/15 + 3*t**2/5 - 14*t. Find q, given that j(q) = 0.
-1, 3
Factor -161*i + 530*i + 357*i + 2662 + 66*i**2 + 15*i**3 - 13*i**3.
2*(i + 11)**3
Let x(d) = -d**2 + 5*d + 4. Let r be x(6). Let f be 1*(-2 - 5/r). Factor 1/2*i**5 - 1/2*i**2 + 0 + 0*i - f*i**3 + 1/2*i**4.
i**2*(i - 1)*(i + 1)**2/2
Suppose -y + 3*y = -r - 9, 2*r - 2*y = 0. Let u(d) = -2*d - 2. Let m be u(r). What is p in 0*p + 0 - p**m - p**3 - 1/3*p**5 - 1/3*p**2 = 0?
-1, 0
Let y(v) be the first derivative of -6*v**4 + 202*v**3/3 + 62*v**2 + 18*v + 10. Solve y(s) = 0 for s.
-1/3, -1/4, 9
Let c be 2/5 - 48/120. Factor 4/7*z**2 + 2/7*z**3 + c + 2/7*z.
2*z*(z + 1)**2/7
Suppose 3*m = -1 + 10. Determine k, given that 4*k**3 + 0*k - 2*k**3 - k**4 - 4 + m*k**2 - 4*k = 0.
-1, 2
Let n(t) = -t - 6. Let k be n(-8). Find u such that -10*u + 6*u - k + 3*u + u**2 + 0*u = 0.
-1, 2
Let f be (16/84)/(5/15). Determine w so that 0 + 0*w**3 + 6/7*w**2 - 2/7*w**4 + f*w = 0.
-1, 0, 2
Let t(g) = g**3 - 7*g**2 - g + 9. Let l be t(7). Find z, given that 3*z + l*z**3 - 2*z**2 + 4 + 7*z + 10*z**2 = 0.
-2, -1
Let c = 26 - 26. Solve 1/2*u**3 + 5/2*u**5 + 0 + u**2 + c*u - 4*u**4 = 0.
-2/5, 0, 1
Let n = 8/9 + 4/9. Factor -2/3*o**2 - n*o + 0.
-2*o*(o + 2)/3
Let g(p) be the third derivative of -1/480*p**6 - 1/80*p**5 + 0*p**4 + 0 + p**2 + 0*p + 1/6*p**3. Solve g(j) = 0.
-2, 1
Let m(h) be the second derivative of -1/9*h**3 - 2*h + 1/30*h**5 - 1/18*h**4 + 1/3*h**2 + 0. Factor m(d).
2*(d - 1)**2*(d + 1)/3
Let r be 808/1920 + 6/(-16). Let l(v) be the third derivative of 1/120*v**7 + r*v**5 + 0 - v**2 + 0*v**3 - 1/48*v**4 - 1/30*v**6 + 0*v. Factor l(h).
h*(h - 1)**2*(7*h - 2)/4
Suppose 2*j - 7*j = -15. Let u(d) = d - 3. Let t be u(6). Factor 7*c**t + c**j + 16*c + c**3 - 21*c**2 - 4.
(c - 1)*(3*c - 2)**2
Let q(i) be the second derivative of i**5/40 + i**4/12 + i**3/12 - 3*i. Factor q(a).
a*(a + 1)**2/2
Let v(h) be the third derivative of -h**8/252 + h**6/90 + 9*h**2. What is x in v(x) = 0?
-1, 0, 1
Let k be (2/(-10))/((-1)/1). Let n be 2/(-3) - (-40)/15. Suppose 1/5*r**5 - 1/5*r**3 + 0 + 0*r + k*r**n - 1/5*r**4 = 0. What is r?
-1, 0, 1
Let d(u) = u**2 + u. Suppose 0 = 2*q + 3*n - 0*n + 21, -q = 3*n + 18. Let i(m) = m**2 + m. Let r(p) = q*d(p) + i(p). Factor r(f).
-2*f*(f + 1)
Let t(b) = -15*b**2 + 560*b - 495. Let l(n) = -2*n**2 + 70*n - 62. Let w(f) = 25*l(f) - 3*t(f). Suppose w(r) = 0. What is r?
1, 13
Let a(v) = -v + 6. Let f be a(5). Find n, given that -1/2*n**3 - n**2 + f + 1/2*n = 0.
-2, -1, 1
Let 2/3*j**4 + 0*j - 1/3*j**5 + 0*j**2 + 0 - 1/3*j**3 = 0. Calculate j.
0, 1
Let u(j) = -j**2 + j + 4. Let h be u(0). Solve 0 + 0*k**3 - 2/5*k + 4/5*k**h + 2/5*k**5 - 4/5*k**2 = 0.
-1, 0, 1
Let n = -1 + 1. Let r(z) = 1 + z**2 + z + n - z. Let d(y) = -y**3 - 6*y**2 - 7. Let x(b) = 2*d(b) + 14*r(b). Factor x(s).
-2*s**2*(s - 1)
Let u(p) be the second derivative of p**7/18 + p**6/45 - 7*p**5/60 - p**4/18 - 11*p + 2. What is k in u(k) = 0?
-1, -2/7, 0, 1
Let w(z) be the third derivative of -z**7/70 + z**6/20 + z**5/5 - z**4/4 - 3*z**3/2 - 45*z**2. Suppose w(t) = 0. Calculate t.
-1, 1, 3
Suppose -13/2*a**2 + 6*a**3 + 1/2 + 0*a = 0. What is a?
-1/4, 1/3, 1
Suppose 4*j + 9 - 21 = 0. Let k(s) be the first derivative of j - 1/8*s**4 - 1/2*s + 1/4*s**2 + 1/6*s**3. Factor k(v).
-(v - 1)**2*(v + 1)/2
Let o(x) be the first derivative of -x**5/15 + 5*x**4/12 - 2*x**3/3 - 2*x**2/3 + 8*x/3 + 29. What is w in o(w) = 0?
-1, 2
Let w be -2 + 4/(-32)*-18. Let y(j) be the third derivative of -w*j**4 + 0*j**5 + 0 + 2/3*j**3 + 2*j**2 + 1/60*j**6 + 0*j. Suppose y(a) = 0. What is a?
-2, 1
Suppose 3*k = 3, 6*a - 12 = 2*a - 4*k. Factor -139*t**2 + t - 3*t + 2*t**3 - a + 141*t**2.
2*(t - 1)*(t + 1)**2
Let u(m) be the third derivative of -16*m**5/15 - 5*m**4/2 + 2*m**3/3 - 16*m**2. Factor u(h).
-4*(h + 1)*(16*h - 1)
Let s(f) be the third derivative of -11/84*f**4 - 8/105*f**5 + 4*f**2 - 1/60*f**6 - 2/21*f**3 + 0 + 0*f. Factor s(w).
-2*(w + 1)**2*(7*w + 2)/7
Let b(j) be the third derivative of j**6/40 - j**5/4 - 3*j**4/4 + 2*j**2 - 2. Factor b(f).
3*f*(f - 6)*(f + 1)
Let f = 11 + -32/3. Factor 0 - f*l - 1/3*l**2.
-l*(l + 1)/3
Let m(r) be the first derivative of -r**6/18 - r**5/15 + r**4/3 + 4*r**3/9 + 20. What is j in m(j) = 0?
-2, -1, 0, 2
Let b(v) be the first derivative of v**4/10 + 4*v**3/5 + 12*v**2/5 + 16*v/5 - 1. Factor b(y).
2*(y + 2)**3/5
Let r = 15/7 - 32/15. Let l(w) be the third derivative of 0 + 0*w**3 - r*w**7 + 0*w - 1/60*w**6 + 0*w**4 + 1/15*w**5 - 2*w**2. Factor l(g).
-2*g**2*(g - 1)*(g + 2)
Factor 3/8*v + 0 + 9/8*v**2 + 3/8*v**4 + 9/8*v**3.
3*v*(v + 1)**3/8
Let y(i) be the second derivative of -1/60*i**5 + 0 + 1/2*i**2 + 2*i + 1/24*i**4 + 0*i**3. Let m(t) be the first derivative of y(t). Solve m(f) = 0 for f.
0, 1
Let d(z) = -2*z**2 + 5*z + 7. Let g be d(3). Suppose g*s + s = 5. Let -7/2*h + 5/2*h**2 + s = 0. Calculate h.
2/5, 1
Factor 0*p + 1/5*p**2 + 2/5*p**3 + 0 + 1/5*p**4.
p**2*(p + 1)**2/5
Let h(y) be the third derivative of y**6/660 - y**5/330 - 8*y**2. Factor h(m).
2*m**2*(m - 1)/11
Let k(d) be the third derivative of d**5/12 - 5*d**4/24 - 5*d**3/3 + 6*d**2. Factor k(o).
5*(o - 2)*(o + 1)
Let w be (-4 - -7 - 3)/(-1). Let v(f) be the second derivative of 0*f**4 + 0*f**6 - f + w + 1/18*f**3 + 1/126*f**7 + 0*f**2 - 1/30*f**5. Factor v(x).
x*(x - 1)**2*(x + 1)**2/3
Let o(f) be the first derivative of 21*f**4/4 + 2*f**3 - 21*f**2/2 - 6*f + 5. Let o(v) = 0. What is v?
-1, -2/7, 1
Let j(i) be the second derivative of i**6/105 - i**5/35 + i**4/42 + 10*i. Find k such that j(k) = 0.
0, 1
Let t(j) be the third derivative of j**7/3780 + j**6/540 + j**5/180 + j**4/108 + 4*j**3/3 - 5*j**2. Let k(w) be the first derivative of t(w). Factor k(n).
2*(n + 1)**3/9
Let m(q) = q**2 - 5*q + 4. Let k be m(4). Let v be (0 + -2)*(k + -1). Let -2*d**2 + 3*d**4 + 6*d - v + 3*d**4 - 6*d**3 - 2*d**4 = 0. What is d?
-1, 1/2, 1
Let b(p) = 7*p**3 - 5*p**2 + 2*p + 2. Let a(z) = 13*z**3 - 9*z**2 + 3*z + 3. Let q(v) = 6*a(v) - 11*b(v). Factor q(g).
(g - 2)*(g + 1)*(