vative of -10*s**6/3 - 28*s**5/5 + 18*s**4 + 112*s**3/3 + 16*s**2 + 18. Let c(z) = 0. Calculate z.
-2, -1, -2/5, 0, 2
Let r(t) be the first derivative of -2*t**5/15 + t**4 - 2*t**3 - 26. Find k, given that r(k) = 0.
0, 3
Suppose 4*i + 20 = -2*m, 8 + 2 = 2*m - 2*i. Suppose 2*c + 3*c**3 + m*c**2 - 2*c**2 + 2*c**4 - 5*c**3 = 0. What is c?
-1, 0, 1
Suppose 0 = -9*f + 12*f - 33. Let w = f + -9. What is u in 1/2*u**3 - 1/2 - 1/2*u + 1/2*u**w = 0?
-1, 1
Let m(p) = -6*p**2 - 4*p - 5. Let k = -5 - -7. Let b(s) = s**2 - 2*s**k - 7 + 6 - s. Let y(n) = -5*b(n) + m(n). Factor y(l).
-l*(l - 1)
Let s(d) be the first derivative of d**6/21 + 6*d**5/35 + 3*d**4/14 + 2*d**3/21 + 12. Factor s(n).
2*n**2*(n + 1)**3/7
Suppose -2*w - 3/2 - 1/2*w**2 = 0. Calculate w.
-3, -1
Let c(d) = -d**2 + 5*d + 2. Let x be c(5). Let w(b) be the first derivative of 0*b**x + 1 - 1/9*b**3 + 1/3*b. Solve w(q) = 0.
-1, 1
Suppose -3*v = -15 - 18. Suppose 7*o = v*o. Factor -1/2*l - l**2 + 3/2*l**3 + o.
l*(l - 1)*(3*l + 1)/2
Suppose 0 = -j - 2*w - 4, -j + 4*w = -16 + 2. Let m(s) be the third derivative of 0 - 1/40*s**5 - 1/4*s**4 + 0*s + 2*s**j - s**3. Factor m(o).
-3*(o + 2)**2/2
Suppose -4*g = -3*g - 3. Solve 14*o**3 - 16*o**2 - 10*o - 32*o**g - 10*o + 14*o**3 - 8 = 0 for o.
-2, -1
Suppose -5*b + 0*b = 10. Let u(m) = 1. Let h(z) = z**2 - 2*z + 10. Let a(g) = b*h(g) + 18*u(g). Factor a(w).
-2*(w - 1)**2
Let n(l) be the third derivative of -l**7/30 - 4*l**6/15 - 29*l**5/105 - 2*l**4/21 - 20*l**2. Factor n(a).
-a*(a + 4)*(7*a + 2)**2/7
Let k(l) = -l**2 + 4*l. Let o be k(4). Suppose o = 3*q - 4*q + 4. Suppose 16*j + 2*j**2 + q + 2*j**3 + 4 + 8*j**2 = 0. What is j?
-2, -1
Suppose 1 + 7 = t. Let u(k) = -t + 1 + 2 + 4*k**2 + k. Let a(v) = 3*v**2 + v - 4. Let y(z) = 3*a(z) - 2*u(z). Solve y(h) = 0 for h.
-2, 1
Let 0 + 6/11*h**3 + 6/11*h**5 - 18/11*h**4 - 12/11*h + 18/11*h**2 = 0. Calculate h.
-1, 0, 1, 2
Let m = -87 - -90. Factor 2/3*q + 0 + 2/3*q**2 - 2/3*q**4 - 2/3*q**m.
-2*q*(q - 1)*(q + 1)**2/3
Let j be (-12524)/(-160) - (-6)/(-15). Let z = 3101/24 - j. Factor z*x**2 + 98/3*x**3 + 8/3 + 64/3*x.
2*(x + 1)*(7*x + 2)**2/3
Let l be (-210)/(-25) - 4/10. Determine g, given that -2*g + 0*g**3 - 6*g**3 + l*g**3 = 0.
-1, 0, 1
Let a(s) = 2*s - 2. Let x be a(4). Factor -2*b**4 + 4*b**2 + 6*b**4 - 2*b**4 + x*b**3.
2*b**2*(b + 1)*(b + 2)
Let f(h) be the first derivative of -h**3/15 + 2*h**2/5 + 4. Find g, given that f(g) = 0.
0, 4
Let c(g) be the third derivative of -g**8/336 - 2*g**7/105 + g**6/60 + 2*g**5/15 - g**4/24 - 2*g**3/3 - 40*g**2. Determine u so that c(u) = 0.
-4, -1, 1
Let l = -11 + -5. Let y be l/(-44)*1/2. Factor 0*h**3 + 0*h - 4/11*h**2 + y + 2/11*h**4.
2*(h - 1)**2*(h + 1)**2/11
Suppose 0*y + 5*y = 0. Let c(m) be the third derivative of 0 + 0*m - 1/120*m**5 + 0*m**4 + 1/120*m**6 + 2*m**2 + y*m**3 - 1/420*m**7. Factor c(q).
-q**2*(q - 1)**2/2
Suppose 2*l = 6*l - 40. Let r = -10 + l. Factor 2/7*b**3 + r + 2/7*b**4 + 0*b**2 + 0*b.
2*b**3*(b + 1)/7
What is n in -300 + 153 + 147 - 2*n**3 - n**2 - n**4 = 0?
-1, 0
Let c(s) = 4*s**2 + 2*s. Let u be c(2). Suppose 25 = 5*v + 3*w, -v = 4*v + 2*w - u. Factor 5*p**2 + 5*p**2 - 6*p**v - 3*p**2.
p**2
Let g(v) be the first derivative of -v**3/18 + v**2/6 - 19. Suppose g(a) = 0. What is a?
0, 2
Determine v, given that 3/2*v - 7/2*v**3 + 3/2*v**4 + 3/2*v**2 - 1 = 0.
-2/3, 1
Let y(b) = -4*b**2 + 3*b. Let v(z) = 7*z**2 - 6*z. Let h(u) = 3*v(u) + 5*y(u). Find x, given that h(x) = 0.
0, 3
Let d = -10 + 12. Suppose j = -d*j. Factor -2/7*g**4 + 0*g**3 + 0 + j*g + 2/7*g**2.
-2*g**2*(g - 1)*(g + 1)/7
Factor 12*d**2 - 4 + 9*d**2 - d**2 + 55*d - 11.
5*(d + 3)*(4*d - 1)
Let t(v) = -3 - 12*v - v - 2 - v**2. Let j(d) = d**2 + 19*d + 7. Let b(z) = 5*j(z) + 7*t(z). Find p such that b(p) = 0.
0, 2
Let u(v) = v**5 + v**3. Let w(b) = -8*b**5 - 20*b**4 - 44*b**3 - 40*b**2 - 20*b - 4. Let y(z) = 4*u(z) + w(z). Factor y(l).
-4*(l + 1)**5
What is s in -10/11*s**2 + 0 - 4/11*s + 14/11*s**3 = 0?
-2/7, 0, 1
Let l(x) = -x**2 - x + 1. Let h(g) = -12*g**2 + 24*g - 9. Let m(c) = -h(c) - 3*l(c). Factor m(j).
3*(j - 1)*(5*j - 2)
Let s(c) be the first derivative of c**4/20 - c**3/15 - 17. Suppose s(b) = 0. Calculate b.
0, 1
Let y(s) be the second derivative of 0*s**3 - 2*s + 1/480*s**6 + 0*s**4 + 0 - s**2 + 1/240*s**5. Let h(j) be the first derivative of y(j). Factor h(f).
f**2*(f + 1)/4
Let m = -1850/9 - -206. Factor 0*d**2 + 0*d**4 + 2/9*d**5 - m*d**3 + 0 + 2/9*d.
2*d*(d - 1)**2*(d + 1)**2/9
Suppose -7*a + 14*a = 0. Factor a - 1/6*o**3 - 1/6*o + 1/3*o**2.
-o*(o - 1)**2/6
Suppose -t + 2 = -m - 0, -5*m = 0. Suppose 0 = b - h - 3*h + 9, 3*b - t*h = 3. Factor 0 + 0*w**2 + 1/4*w**b + 0*w.
w**3/4
Suppose z + 11 = 3*r, -5*r - z = -2*z - 15. Suppose -2*w = -3*f + 2*w + 6, -r*f + 4 = 5*w. What is d in 0*d**f + 0 - 1/2*d**3 + 1/2*d = 0?
-1, 0, 1
Factor -2/5*m**2 - 72/5 + 24/5*m.
-2*(m - 6)**2/5
Let j(a) = -a**3 + 27*a**2 - 39*a + 19. Let l(t) = t**3 + t**2 - t + 1. Let w(m) = -j(m) + 3*l(m). Factor w(p).
4*(p - 4)*(p - 1)**2
Let h(x) be the third derivative of x**2 - 1/20*x**5 + 1/70*x**7 + 0*x**4 + 0*x + 0 + 0*x**3 + 0*x**6. Factor h(l).
3*l**2*(l - 1)*(l + 1)
Let x(d) be the second derivative of -d**5 - 5*d**4/12 + 5*d**3/2 + 29*d. Factor x(g).
-5*g*(g + 1)*(4*g - 3)
Let j(b) = b. Let y(q) = -3*q**2 + 9*q. Let m(a) = -3*j(a) - y(a). Factor m(i).
3*i*(i - 4)
Factor 2/7*r**2 + 2/7 - 4/7*r.
2*(r - 1)**2/7
Let b(s) be the third derivative of 1/15*s**5 + 0*s**3 - 8*s**2 + 1/21*s**8 + 0*s**4 - 2/105*s**7 - 2/15*s**6 + 0 + 0*s. Let b(j) = 0. Calculate j.
-1, 0, 1/4, 1
Let d = 855 - 853. Determine h, given that 0 + h - 1/2*h**d = 0.
0, 2
Let n be (0 + 3/180)*5/42. Let o(u) be the third derivative of 0*u**4 + u**2 + 0*u**3 + 0 + 0*u + n*u**8 + 0*u**7 + 1/45*u**5 - 1/60*u**6. Factor o(x).
2*x**2*(x - 1)**2*(x + 2)/3
Factor -21*k**2 + 51*k - 3*k**3 - 3 - 29 + 5.
-3*(k - 1)**2*(k + 9)
Let s(h) = -7*h**2 + 3*h + 13*h**2 - 3 - 1 + 7*h**3 + 6*h**2. Let t(o) = 21*o**3 + 36*o**2 + 9*o - 13. Let u(b) = -21*s(b) + 6*t(b). Factor u(p).
-3*(p + 1)**2*(7*p - 2)
Let 186/7*z**2 + 24/7 - 132/7*z - 60/7*z**5 - 156/7*z**4 + 57/7*z**3 = 0. What is z?
-2, 2/5, 1/2
Let a(y) be the third derivative of y**8/784 - 2*y**7/245 + y**6/56 - y**5/70 + 4*y**2. Suppose a(n) = 0. What is n?
0, 1, 2
Let s be (3/(-6))/(3/6). Let r(p) = p**5 + p**4 - p**2 + 1. Let n(w) = -4*w**5 - 4*w**4 + w**3 + 4*w**2 - 3. Let g(m) = s*n(m) - 3*r(m). Factor g(y).
y**2*(y - 1)*(y + 1)**2
Suppose 2*p - 4 = -3*n, -4*p + 5 = -5*n - 3. Suppose -3*h - p*h = -5. Factor -1 + 2*o**4 + h - o**2 + o**3.
o**2*(o + 1)*(2*o - 1)
Let z be -5 + (5 + -2 - -7). Let n(l) be the second derivative of 0 + 1/24*l**4 - 1/80*l**z - l + 1/24*l**3 - 1/4*l**2. Factor n(g).
-(g - 2)*(g - 1)*(g + 1)/4
Let q be (-1 - (-15)/2) + -2. Let u = 71/14 - q. Suppose 2/7*t**4 + 6/7*t**5 - 12/7*t**3 + 2/7 + 6/7*t - u*t**2 = 0. Calculate t.
-1, -1/3, 1
Let u = 704 + -702. Let p be (-1)/4 + 2/4. Factor -7/4*h**u + 3/4*h**3 - p + 5/4*h.
(h - 1)**2*(3*h - 1)/4
Let y(z) = -945*z**5 + 615*z**4 - 65*z**3 - 45. Let a(q) = -43*q**5 + 28*q**4 - 3*q**3 - 2. Let m(b) = 45*a(b) - 2*y(b). Factor m(w).
-5*w**3*(3*w - 1)**2
Let y(f) be the second derivative of -5*f**4/12 - 50*f**3/3 - 250*f**2 + f - 2. Factor y(n).
-5*(n + 10)**2
Let r = 59/42 + 2/21. Let f(m) be the first derivative of 2 + 3/4*m**6 + r*m**5 - 1/2*m**2 - 11/8*m**4 - 11/6*m**3 + 0*m. Find p such that f(p) = 0.
-2, -1/3, 0, 1
Let a = -1 - -6. Let -3*b + 5*b**a + 2*b**4 - 4*b**5 + 0*b**5 + 2*b - 2*b**2 = 0. What is b?
-1, 0, 1
Suppose 0 = -3*t + 9, 4*w + 0*t + 5*t - 119 = 0. Suppose -5*c - 4*h + 29 = 0, 2*c - h - h - w = 0. What is y in c*y + 1 - 6*y**2 + 3 - 6 - y = 0?
1/3, 1
Suppose 0*t - 8 = -4*t. Suppose 0 = -4*w + t*w. Let 2/7*o**4 + 0*o**2 - 2/7*o**3 + w + 0*o = 0. What is o?
0, 1
Let n(s) = -8*s**3 + 31*s**2 - 18*s + 11. Let w(t) = -4*t**3 + 15*t**2 - 9*t + 5. Let p(k) = -3*n(k) + 7*w(k). Let p(l) = 0. Calculate l.
1/2, 2
Let g be 88/20 + 4/(-10). Let d**4 + 2*d**2 - g*d**2 + d**2 = 0. What is d?
-1, 0, 1
Let t(z) be the third derivative of 0*z - 2/27*z**3 - 5*z**2 + 0 - 5/108*z**4 - 1/540*z**6 - 2/135*z**5. Suppose t(w) = 0. Calculate w.
-2, -1
Let l(a) = -a**2 - 5*a - 2. Let w(n) = n**2 + 10*n + 12. Let m be w(-8). Let z be l(m