that h(s) = 0.
-1, 1
Let b(c) be the first derivative of 0*c**4 - 4/3*c**3 + 2*c + 0*c**2 + 2/5*c**5 - 3. Let b(w) = 0. Calculate w.
-1, 1
Suppose h = 5*i - 1 - 4, 0 = h - 3*i + 3. Suppose h = 2*m - p - 5, -4*m + 14 = -5*p + 1. Factor -4 - 2*y**m + 7*y + 0*y - y.
-2*(y - 2)*(y - 1)
Let o = -4330/3 + 1444. Factor -2/3 - 4/3*n - o*n**2.
-2*(n + 1)**2/3
Suppose 1/2*a + 1/6*a**2 + 1/3 = 0. What is a?
-2, -1
Let t(r) be the first derivative of 0*r**3 + 0*r + 1/25*r**5 + 0*r**2 + 1/20*r**4 + 4. Factor t(f).
f**3*(f + 1)/5
Factor -4*c**4 + 0*c**4 - c**4 + 5*c**5 - 10*c**5 + 10*c**3.
-5*c**3*(c - 1)*(c + 2)
Let w be (-2 + 5)/(3/(-16)). Let z be (w/36)/(6/(-9)). Factor -1/3*f**3 + 0 + z*f**2 + 0*f.
-f**2*(f - 2)/3
Let m(x) be the third derivative of 7*x**5/120 + x**4/3 + x**3/3 - 13*x**2. Factor m(z).
(z + 2)*(7*z + 2)/2
Let m(f) be the first derivative of -f**6/6 - 3*f**5/5 - f**4/2 + 2*f**3/3 + 3*f**2/2 + f - 21. Let m(i) = 0. Calculate i.
-1, 1
Find h such that -h**3 - 15 - 5*h**5 + 7*h**3 + 30*h**2 - 5*h + 5*h**3 - 15*h**4 - h**3 = 0.
-3, -1, 1
Let d(c) be the first derivative of 3*c**5/10 + 3*c**4/2 - 2. Factor d(p).
3*p**3*(p + 4)/2
Let v(d) be the first derivative of -d**6/14 + 6*d**5/35 + 15. Factor v(h).
-3*h**4*(h - 2)/7
Let y(i) be the third derivative of -i**10/30240 - i**9/45360 + i**8/10080 - i**4/12 - 5*i**2. Let h(p) be the second derivative of y(p). What is a in h(a) = 0?
-1, 0, 2/3
Let s = 82/3 - 27. Let n(t) be the third derivative of 1/105*t**7 + 0*t**4 - 1/15*t**5 + 0*t + s*t**3 + 0 + 2*t**2 + 0*t**6. Factor n(k).
2*(k - 1)**2*(k + 1)**2
Suppose 4*t = w + 39, -4*t + 5*t - 6 = -w. Suppose 4*u + 8 = -2*n, 3*n + 9*u = 4*u - t. Let 5*o - 5*o - n*o**2 = 0. What is o?
0
Suppose -3*y + y + 3*j = 8, 0 = 2*j - 8. Let o(i) be the second derivative of 0 - 1/2*i**4 + i - 4*i**2 + 1/20*i**5 + y*i**3. Determine s, given that o(s) = 0.
2
Let u = 3 + -1. Factor -75*m**u + 75*m**2 + 4 - 6*m + 2*m**3.
2*(m - 1)**2*(m + 2)
Suppose -5*r + 16 = -9. Suppose r*j + 0*b + b - 13 = 0, 5*j = -5*b + 5. Find t such that 0*t + 0 + 1/3*t**2 - 1/3*t**4 + 0*t**j = 0.
-1, 0, 1
Let l = -1847/2 - -924. Let -l*f**2 + 1/2 + 0*f = 0. What is f?
-1, 1
Let m be 4/(-21)*28/24. Let h = 4/9 - m. Factor -2/9*t**2 - 2/9*t**5 - h*t**4 + 0 - 2/3*t**3 + 0*t.
-2*t**2*(t + 1)**3/9
Let f be (-60)/(-14) + 4/(-14). Factor -4*c**4 - 3 - 36*c**2 + c**f + 42*c**2.
-3*(c - 1)**2*(c + 1)**2
Suppose -3*j = -3 - 12. Let f = j + -1. Factor 3*n**3 - n**3 + 2*n**4 - 4*n**f.
-2*n**3*(n - 1)
Let n(z) be the second derivative of z**7/168 + z**6/40 + z**5/40 - z**4/24 - z**3/8 - z**2/8 + 2*z. Factor n(y).
(y - 1)*(y + 1)**4/4
Determine n, given that -3*n**3 + 20*n**4 - 40*n**4 + 3*n**5 + 3*n**2 + 17*n**4 = 0.
-1, 0, 1
Factor -2*b**2 + 3 - 1/2*b**3 - 1/2*b.
-(b - 1)*(b + 2)*(b + 3)/2
Suppose -36 + 60*f - 28*f**2 + 26*f**3 - 52*f**3 + 30*f**3 = 0. What is f?
1, 3
Factor 2/7*p**2 + 36/7*p + 162/7.
2*(p + 9)**2/7
Factor -1/2*l**5 + 1/2*l**3 + 0*l + 0 - 1/2*l**2 + 1/2*l**4.
-l**2*(l - 1)**2*(l + 1)/2
Let m = -8 + 10. Suppose m*j = -3*f + 17, 5*f + 2*j = -j + 27. Let -6/7*h - 2/7*h**f - 2/7 - 6/7*h**2 = 0. What is h?
-1
Let t be (-16)/90 - 4/(-10). Let o = 478 + -4298/9. Determine j so that 2/9*j**2 - o*j + t = 0.
1
Let g(w) be the third derivative of -14*w**7/9 + 119*w**6/45 - 76*w**5/45 + 4*w**4/9 + 17*w**2. Let g(j) = 0. What is j?
0, 2/7, 2/5
Let d(w) be the second derivative of -w**7/840 + 11*w**6/2160 - w**5/180 + 5*w**4/12 + 4*w. Let h(v) be the third derivative of d(v). Factor h(z).
-(z - 1)*(9*z - 2)/3
Let m(b) = -b**2 + 5*b + 8. Let t be m(7). Let h(f) = -4*f**4 + 4*f**3 + f**2 - f. Let i(q) = q**4 - q**3. Let x(y) = t*i(y) - 2*h(y). Factor x(j).
2*j*(j - 1)**2*(j + 1)
Let x(k) be the third derivative of -k**7/11340 + k**5/135 - 3*k**4/8 - 2*k**2. Let w(p) be the second derivative of x(p). What is c in w(c) = 0?
-2, 2
Suppose 0 = h - 2*w - 4, h + 4*w - 3*w - 1 = 0. Solve 3*j**5 + 6*j**h - 6*j**4 - 169 + 169 - 3*j = 0.
-1, 0, 1
Let w be (-1 + 8/6)*39. Let u = w - 11. Factor 0 + 0*i + 2/7*i**u.
2*i**2/7
Factor 1/4*h**2 - 1/4*h - 1/2.
(h - 2)*(h + 1)/4
Let n(u) be the second derivative of u**7/49 + 8*u**6/105 + 3*u**5/35 - u**3/21 - 5*u. Factor n(s).
2*s*(s + 1)**3*(3*s - 1)/7
Let d(m) be the first derivative of 0*m - 1/6*m**6 + 9/2*m**2 - 4 - 2*m**3 + 6/5*m**5 - 2*m**4. Factor d(r).
-r*(r - 3)**2*(r - 1)*(r + 1)
Let i(u) be the first derivative of 5*u**3/9 - 20*u**2/3 + 80*u/3 + 2. Let i(d) = 0. What is d?
4
Determine q, given that 45/8*q**2 + 375/8 + 3/8*q**3 + 225/8*q = 0.
-5
Let q be (-120)/48*(-4)/(-5)*-2. Factor 0*b**2 + 0*b**3 + 0*b + 0 - 1/2*b**q.
-b**4/2
Let k(w) be the first derivative of 27*w**5/25 - 9*w**4/10 - 11*w**3/5 + 6*w**2/5 + 12*w/5 + 7. Factor k(s).
3*(s - 1)**2*(3*s + 2)**2/5
Let y = 10 - 6. Let f(x) be the third derivative of 1/48*x**4 + 0*x**3 + 1/120*x**5 + 0 + y*x**2 + 0*x. Factor f(h).
h*(h + 1)/2
Let w(j) be the first derivative of -9/4*j - 1/4*j**3 - 3/2*j**2 + 2. Factor w(z).
-3*(z + 1)*(z + 3)/4
Let g(c) be the first derivative of -4/9*c**3 + 1/6*c**6 + 0*c + 5 + 4/15*c**5 - 1/6*c**4 - 1/6*c**2. Find o such that g(o) = 0.
-1, -1/3, 0, 1
Let m(s) be the second derivative of 0 + 1/20*s**5 + 0*s**3 + 3*s + 0*s**2 + 0*s**4. Suppose m(k) = 0. Calculate k.
0
Let a be (-117)/52*1/(-3). Factor -3/2*g**2 + 3/4 - a*g.
-3*(g + 1)*(2*g - 1)/4
Let b be -5 - 2/(44/(-114)). What is p in -2/11*p**5 + b*p + 0 - 4/11*p**4 + 4/11*p**2 + 0*p**3 = 0?
-1, 0, 1
Let g be (-1 - (-3 - -5)) + -1. Let j(s) = s**3 + 5*s**2 + 3*s - 4. Let h be j(g). Factor h - 1/3*x - 1/3*x**2.
-x*(x + 1)/3
Let m(u) be the first derivative of 5*u**5/12 + 55*u**4/48 - 14*u**3/9 + u**2/2 - 12. Determine c, given that m(c) = 0.
-3, 0, 2/5
Find f such that 1/4*f**2 + 3/4 - f = 0.
1, 3
Let h be 13/78 + 19/6. What is k in -4/3*k**2 + 0*k - h*k**3 + 0 = 0?
-2/5, 0
Let i(g) be the first derivative of -1/5*g**2 + 2/15*g**3 + 0*g + 4. Determine x so that i(x) = 0.
0, 1
Let m = 0 - -3. Let w = 3 - m. Factor 2/3*t + w - 2/3*t**3 + 0*t**2.
-2*t*(t - 1)*(t + 1)/3
Let w be -1 - (-3 - -3 - 3). Let g(n) be the third derivative of 1/72*n**4 + 0*n - 1/180*n**5 + 1/9*n**3 - n**w + 0. Find k such that g(k) = 0.
-1, 2
Suppose -5 = 3*k - 8*k. Solve -21*w**3 - 2 - k + 12*w**3 + 9*w + 3*w**2 = 0.
-1, 1/3, 1
Let f = 6301/135 - 233/5. Let j(x) be the third derivative of f*x**3 - 13/108*x**4 - 23/540*x**6 + 0*x + 1/135*x**7 - x**2 + 0 + 1/10*x**5. Factor j(p).
2*(p - 1)**3*(7*p - 2)/9
Let t(l) be the second derivative of l**8/3360 - l**7/1260 + l**4/6 - 3*l. Let g(d) be the third derivative of t(d). Let g(w) = 0. Calculate w.
0, 1
Find k, given that -34*k + 5 + 7 + 0 - 2*k**2 - 30*k**2 + 14*k**3 = 0.
-1, 2/7, 3
Let m(u) be the third derivative of -u**5/60 + u**3/6 - 4*u**2. Determine r, given that m(r) = 0.
-1, 1
Let i(k) be the third derivative of -k**5/210 + k**4/28 - 2*k**3/21 + 6*k**2. Factor i(j).
-2*(j - 2)*(j - 1)/7
Let w be 1/3*4/12*3. Factor 1/3*s + 0 - w*s**2.
-s*(s - 1)/3
Find c, given that 4*c**3 - 10*c + 13*c**2 - 12*c - 5*c**2 + 10*c = 0.
-3, 0, 1
Determine c, given that -6/13*c**2 - 6/13*c - 2/13 - 2/13*c**3 = 0.
-1
Suppose 5*a - 9*a = 0. Let p(i) be the first derivative of -3/2*i**4 + 10/3*i**3 - i**2 + 2 - 18/5*i**5 + a*i. Solve p(t) = 0.
-1, 0, 1/3
Let o(x) be the first derivative of -5*x**6/36 + x**5 - 5*x**4/2 + 20*x**3/9 + 7. Factor o(f).
-5*f**2*(f - 2)**3/6
Let d(w) be the second derivative of 1/6*w**4 - 3*w + 0 - 4/3*w**3 + 4*w**2. Determine g so that d(g) = 0.
2
Let 31*n**2 - 77*n**3 - 71*n**2 + 20*n + 520*n**4 + 2800*n**5 - 388*n**3 = 0. Calculate n.
-2/5, -2/7, 0, 1/4
Let s(c) be the third derivative of -c**6/90 + c**5/10 - c**3/2 - c**2. Let p(o) be the first derivative of s(o). Find a, given that p(a) = 0.
0, 3
Suppose -4*m = -m - 6. Let f be (5 - 2)/(3/m). Factor 7*i**3 - 2*i + 2 - i**3 - 2*i**5 - 3*i**2 - i**2 - f*i**3 + 2*i**4.
-2*(i - 1)**3*(i + 1)**2
Let z(k) be the first derivative of -k**4 + 0*k - 10 - 2/5*k**5 + 0*k**2 - 2/3*k**3. Find h, given that z(h) = 0.
-1, 0
Let z(o) be the first derivative of o**8/840 - 2*o**7/525 + o**5/75 - o**4/60 - o**2/2 - 2. Let s(j) be the second derivative of z(j). Factor s(c).
2*c*(c - 1)**3*(c + 1)/5
Let i = 5 - 5. Suppose 10*v - 12*v = i. Factor -8/7*m**4 + m**3 -