 - 2*c**4/21 - c**3 + 1. Let u(f) be the third derivative of h(f). Factor u(d).
2*(d - 1)*(7*d + 2)**3/7
Let g(i) = -i + 8. Let u be g(6). Find y such that 4/11*y + 0 + 10/11*y**u = 0.
-2/5, 0
Let y = 497/108 - -58/27. Let j = -25/4 + y. Let 0 - j*l + 1/2*l**3 + 1/2*l**4 - 1/2*l**2 = 0. Calculate l.
-1, 0, 1
Factor 92/7*q**2 + 50/7 - 24/7*q**3 + 2/7*q**4 - 120/7*q.
2*(q - 5)**2*(q - 1)**2/7
Suppose 3 = 5*v - 7. Suppose -4*g = -v*g. Find p such that 0*p + 0*p**3 + 0*p**2 - 2/9*p**4 - 2/9*p**5 + g = 0.
-1, 0
Suppose 2*f = 2*w - 1 - 15, 0 = 3*w - f - 18. Let v(y) = -y**3 + 2*y**2 + 5*y - 3. Let s be v(3). Factor -t**s - t**3 + w*t**3 - 2*t**2.
t**2*(3*t - 2)
Let c(r) be the second derivative of r**4/42 - 8*r**3/21 + 16*r**2/7 - r. Find f such that c(f) = 0.
4
Let g(t) be the second derivative of t**7/840 - t**6/240 + 5*t**4/12 - t. Let c(j) be the third derivative of g(j). Factor c(q).
3*q*(q - 1)
Let n(k) be the first derivative of k**3 + k + 1/4*k**4 + 3/2*k**2 + 4. Factor n(b).
(b + 1)**3
Let p be 1*4 + 4 + -6. Factor -3*q + 2*q**2 + 6 - q + p*q**3 + 0 - 6*q.
2*(q - 1)**2*(q + 3)
Let l = 76 + -74. Determine r so that 1/4*r**l + 0 + 1/4*r = 0.
-1, 0
Let w(h) be the third derivative of -7*h**6/2160 - h**5/45 - h**4/36 - 7*h**3/6 + 3*h**2. Let u(a) be the first derivative of w(a). Factor u(c).
-(c + 2)*(7*c + 2)/6
Find l such that -1/6*l**2 - 1/2*l - 1/3 = 0.
-2, -1
Let k(y) = -6*y**2 + 2*y - 8. Let m be (-3)/9*(1 - 4). Let n(l) = -l**2 - 1. Let w(h) = m*k(h) - 8*n(h). Determine v, given that w(v) = 0.
-1, 0
Suppose i - 4*o + 6 = 20, -16 = 4*o. Let j be (1 + i)*(-1 + -2). Factor 4 + 3*n**3 + 4*n**j + 3*n**2 - 8*n - 5*n**4 + n - 2.
-(n - 1)**2*(n + 1)*(5*n - 2)
Factor 0*d + 0*d**2 + 0*d**3 + 0 + 3/5*d**5 + 3/5*d**4.
3*d**4*(d + 1)/5
Let s(w) = w**3 - 2*w**2 + 2*w + 6. Let a(p) = 6*p**3 - 10*p**2 + 9*p + 29. Let f(t) = -6*a(t) + 33*s(t). Find l, given that f(l) = 0.
-2, 2
Factor -3*x - 8*x**5 + 6*x**5 - 6*x**3 - 8*x**2 + 3*x**5.
x*(x - 3)*(x + 1)**3
Let n be (10/3)/((-14)/(-21)). Let i(q) be the first derivative of 1/12*q**3 - 1/8*q**4 + 0*q - 2 + 1/20*q**n + 0*q**2. Solve i(h) = 0 for h.
0, 1
Let j(l) be the third derivative of 0*l**3 - 1/300*l**5 + 0 + 0*l**4 + 0*l + l**2. Factor j(n).
-n**2/5
Let v = 18 + -39. Let c = -19 - v. Factor 2/9*t - 2/9*t**3 + 0*t**c + 0.
-2*t*(t - 1)*(t + 1)/9
Let a be ((-75)/(-50))/((-1)/(-3)). Let v = -4 + a. Let -v*b**2 + 0 + 0*b = 0. Calculate b.
0
Let t(m) be the third derivative of m**5/300 + m**4/60 - 38*m**2. Factor t(r).
r*(r + 2)/5
Suppose -4*d - 5*a + 580 = 0, -3*a - 172 = -3*d + 236. Let v = -978/7 + d. Factor v + 6/7*u**2 - 2/7*u**3 - 6/7*u.
-2*(u - 1)**3/7
Let f(y) be the second derivative of -y**5/60 - y**4/24 + y**3/3 + 3*y**2/2 + 2*y. Let t(a) be the first derivative of f(a). Factor t(g).
-(g - 1)*(g + 2)
Suppose -32*d**3 - 1 + 3 + 11*d + 36*d**3 + 13*d**2 = 0. What is d?
-2, -1, -1/4
Let r = 130 + -130. Let f(m) be the third derivative of -1/480*m**6 + 0*m + 0*m**3 + r*m**5 + 0 + 0*m**4 - 4*m**2. What is v in f(v) = 0?
0
Let a(o) be the third derivative of -o**8/168 + o**6/20 - o**5/15 + 10*o**2. Factor a(p).
-2*p**2*(p - 1)**2*(p + 2)
Let h(b) be the third derivative of -b**8/26880 + b**7/20160 + b**5/20 - 2*b**2. Let z(m) be the third derivative of h(m). Solve z(t) = 0.
0, 1/3
Let q = -2 - -1. Let o(g) = -4*g**3 - 8*g. Let u(t) = -t**3 - t. Suppose -z - z - 5*j = 13, 0 = -z - j + 1. Let w(r) = q*o(r) + z*u(r). What is n in w(n) = 0?
-1, 0, 1
Let q = 2 - 5/3. Let p(u) be the first derivative of -1 + q*u**3 + u - u**2. Factor p(h).
(h - 1)**2
Let m(b) = b**2 - 2*b - 4. Let f be m(4). Let w(a) = -a**2 + 9*a - 14. Let z be w(7). Factor 2*r**f + 1/2*r**5 + 0*r + 0*r**2 + z + 2*r**3.
r**3*(r + 2)**2/2
Let b(r) be the third derivative of r**8/784 + 2*r**7/245 + 3*r**6/140 + r**5/35 + r**4/56 - r**2. Solve b(d) = 0.
-1, 0
Let y(l) be the first derivative of l**4/4 + 2*l**3/3 + l**2/2 - 5. Factor y(s).
s*(s + 1)**2
Let r = 22/141 - -24/47. Determine s, given that 2/3*s**5 - 2*s**4 - r*s**2 + 0 + 2*s**3 + 0*s = 0.
0, 1
Let t(o) be the first derivative of -o**6/30 + o**5/5 - 9*o**4/20 + 7*o**3/15 - o**2/5 + 3. Factor t(r).
-r*(r - 2)*(r - 1)**3/5
Let m(b) be the third derivative of -b**5/180 - b**4/72 + b**3/9 - 16*b**2. Factor m(v).
-(v - 1)*(v + 2)/3
Let d(p) be the second derivative of p**7/105 - p**6/36 + p**5/60 - p**3/2 - p. Let o(r) be the second derivative of d(r). Determine x so that o(x) = 0.
0, 1/4, 1
Let p be (((-3348)/(-15))/3)/2. Let h = p - 37. Factor 2/5*b - h - 1/5*b**2.
-(b - 1)**2/5
Let h(l) = -l + 3. Let w be h(3). Suppose w + 2 = d. Factor f**2 - 10*f**3 + 5*f**2 + 10*f**d - 8*f + 2*f**4.
2*f*(f - 2)**2*(f - 1)
Let l(n) = 3*n**2 + n - 2. Let p be l(1). Find o, given that 2*o**3 + o**2 - 4*o**3 + 2*o**p - o**3 = 0.
0, 1
Let r(p) be the second derivative of -p**8/23520 + p**7/8820 - p**4/6 + 4*p. Let y(c) be the third derivative of r(c). Let y(q) = 0. What is q?
0, 1
Suppose -7/2*t**2 + 2*t**4 + 0 + t - 5/2*t**3 = 0. Calculate t.
-1, 0, 1/4, 2
Suppose -8 = -6*z + 16. Let j(d) be the third derivative of 0*d**3 + 0 + 3*d**2 + 1/12*d**z + 0*d - 1/30*d**5. Factor j(n).
-2*n*(n - 1)
Let h(w) be the second derivative of w**6/90 - w**5/15 + w**4/9 - 14*w. Factor h(u).
u**2*(u - 2)**2/3
Let x = -1/15 - -52/105. Let f = 1/14 + x. Let 0 + 0*o**2 + 1/2*o**3 - f*o = 0. What is o?
-1, 0, 1
Let b(w) = -w**2 - w - 1. Let m be b(-2). Let u be (-63)/(-77)*(-2)/m. Find c, given that -2/11*c**3 - u*c + 2/11 + 6/11*c**2 = 0.
1
Suppose -f - 22 + 25 = 0. Let g(a) = -a + 6. Let h be g(f). Factor 0*x - 1/4*x**h + 0*x**4 + 0 + 1/4*x**5 + 0*x**2.
x**3*(x - 1)*(x + 1)/4
Let v(k) be the first derivative of 8*k**3/21 + k**2/7 - 15. Factor v(g).
2*g*(4*g + 1)/7
Factor -1 - 8*q**2 + 1 + 7*q**2 + 4*q.
-q*(q - 4)
Let g be ((-100)/(-3))/(2/(-3) - -1). Factor g*u**2 + 16/3 + 40*u + 250/3*u**3.
2*(5*u + 2)**3/3
Let c = 37 - 32. Let u(y) be the third derivative of 0 + 0*y**4 + 1/120*y**c - y**2 + 0*y + 0*y**3. Factor u(o).
o**2/2
Suppose 5*h - 13 - 2 = 0. Let i be 9/6*h/9. Find j such that 0 - 1/2*j - i*j**2 + 1/2*j**3 + 1/2*j**4 = 0.
-1, 0, 1
Let u(w) = -w**3 - 5*w**2 + 6*w - 6. Let g be u(-6). Let f be -2*1/4*g. Factor -4*o**3 - f*o**3 - o**2 + 6*o**3.
-o**2*(o + 1)
Let u = -308/87 - -1434/203. Let r = u - 20/7. What is s in r*s**2 - 1/3*s**5 + 0*s**3 + 1/3*s - 2/3*s**4 + 0 = 0?
-1, 0, 1
Let o(t) be the first derivative of 5*t**4/8 - 5*t**3/6 + 4. Factor o(f).
5*f**2*(f - 1)/2
Suppose 4*m + 5*p - 3 = 1, 5*m + 4*p - 14 = 0. Let r be ((-4)/5)/(m/(-15)). What is q in -2*q**5 - 2 + r + 2*q**4 = 0?
0, 1
Let i(m) be the second derivative of 2*m**6/105 - m**4/7 + 4*m**3/21 + 3*m. Solve i(h) = 0 for h.
-2, 0, 1
Let k = 1100/411 - 4/411. Factor -k*u + 4*u**2 - 8/3*u**3 + 2/3 + 2/3*u**4.
2*(u - 1)**4/3
Factor -10*x**3 - 15*x**4 + 3*x**2 + 4*x**2 - 2*x**2.
-5*x**2*(x + 1)*(3*x - 1)
Let q(l) be the first derivative of -1 - 4*l**2 + 0*l**3 - 2/5*l**5 + 0*l + 3/2*l**4. Factor q(w).
-2*w*(w - 2)**2*(w + 1)
Suppose -5*s - 3*b + 17 - 2 = 0, -5 = -b. Factor 0*a**2 - 1/4*a**4 + s*a + 0*a**3 + 0 + 1/4*a**5.
a**4*(a - 1)/4
Let l(j) = -j**3 - 4*j**2 - 3*j + 2. Let w be l(-3). Let o be 2/w + 1 + 2. Let -2*v - 5*v**3 + 2*v**3 + 5*v**3 - v**o + 1 = 0. What is v?
-1, 1
Factor 14/13*j**3 - 24/13*j**2 - 32/13 - 120/13*j.
2*(j - 4)*(j + 2)*(7*j + 2)/13
Let h(p) = -p**5 - 3*p**4 + p**3 + p**2 - 6*p - 1. Let g(v) = 4*v**4 - 2*v**3 - 2*v**2 + 6*v. Suppose -5*r - 6 - 4 = 0. Let t(i) = r*h(i) - 3*g(i). Factor t(s).
2*(s - 1)**4*(s + 1)
Let j(r) = -9*r**5 + r**4 + 4*r**3 + 9*r**2 - 5*r + 5. Let m(u) = 5*u**5 - u**4 - 2*u**3 - 5*u**2 + 3*u - 3. Let d(z) = 3*j(z) + 5*m(z). Factor d(g).
-2*g**2*(g - 1)*(g + 1)**2
Let i(v) be the first derivative of -v**4/26 - 2*v**3/39 + 1. Factor i(r).
-2*r**2*(r + 1)/13
Let m be 0 - 3/(144/(-76)). Let t(j) be the first derivative of -8/3*j**2 - m*j**4 - 1/18*j**6 + 25/9*j**3 + 4/3*j + 2 + 7/15*j**5. Let t(q) = 0. Calculate q.
1, 2
Suppose -3*g - 2*g = -55. Suppose -s - 6 = -4, -g = -a + 4*s. Factor 0 - 2/7*m**a - 2/7*m - 4/7*m**2.
-2*m*(m + 1)**2/7
Let y = -772/5 - -158. Factor -4/5*k**3 - 48/5*k + 26/5*k**2 + y.
-2*(k - 3)**2*(2*k - 1)/5
Let r(k) be the second derivative of 1/21*k**7 + 0*k**3 - 1/6*k**4 + 2*k + 1/15*k**6 