 4*v/7 - 6. Solve c(s) = 0.
-1, -2/7, 1
Factor 3/11*k**2 + 0 - 1/11*k + 4/11*k**3.
k*(k + 1)*(4*k - 1)/11
Let f(i) = -10*i**5 - 12*i**4 - 6*i**3 - 4*i + 4. Let d(y) = -y**5 - y**4 - y**3 - y + 1. Let u(x) = 4*d(x) - f(x). Let u(b) = 0. Calculate b.
-1, -1/3, 0
Let z(s) be the second derivative of -1/2*s**2 - 6*s + 0*s**5 + 0*s**3 + 1/6*s**4 - 1/30*s**6 + 0. Let z(q) = 0. What is q?
-1, 1
Let j(y) be the second derivative of y**5/100 + y**4/60 - y**3/30 - y**2/10 - 7*y. Suppose j(u) = 0. Calculate u.
-1, 1
Let r be 0 - 4 - (6 - 0). Let n be 5/r*(-8)/10. Factor 4/5*a**2 - 4/5*a**3 - 2/5 + n*a + 2/5*a**5 - 2/5*a**4.
2*(a - 1)**3*(a + 1)**2/5
Find o such that -5/7*o + 1/7*o**3 - 2/7 + 1/7*o**4 - 3/7*o**2 = 0.
-1, 2
Let s(y) = -y - 8. Let g be s(-7). Let c(x) = -x**2 - x - 1. Let p(t) = 3*t**3 - 3*t - 9. Let h(j) = g*p(j) + 9*c(j). Factor h(i).
-3*i*(i + 1)*(i + 2)
Let l(h) be the second derivative of -h**6/50 + h**4/20 - 8*h. Factor l(o).
-3*o**2*(o - 1)*(o + 1)/5
Let u(g) be the third derivative of g**7/840 + g**6/48 + g**5/10 - g**4/8 - 7*g**2. Let l(k) be the second derivative of u(k). Factor l(q).
3*(q + 1)*(q + 4)
Let a = -403/5 + 81. Determine y so that -2/5 - 4/5*y - a*y**2 = 0.
-1
Let a = 890/209 + -74/19. Factor -2/11*m**2 + a + 2/11*m.
-2*(m - 2)*(m + 1)/11
Let w(g) be the second derivative of -g**8/336 + g**7/210 + g**2 + g. Let n(s) be the first derivative of w(s). Factor n(x).
-x**4*(x - 1)
Let l(r) = 2*r**5 - 9*r**4 + 9*r**2 - 7*r. Let a(q) = 2*q**5 - 10*q**4 + 10*q**2 - 8*q. Let s(w) = -5*a(w) + 6*l(w). Factor s(d).
2*d*(d - 1)**3*(d + 1)
Suppose -5*x - 14 = -2*w, -1 = -2*w - 3*x - 3. Let 2*p + 8/3*p**w - 2/3 = 0. Calculate p.
-1, 1/4
Let l(x) = x - 4 + x**2 + 1 - 2*x. Let q be l(3). Factor 2*w**4 - q*w**4 + 0*w**4.
-w**4
Let h(d) = d**2 + 7*d + 7. Let f(s) = -3*s - 3. Suppose 5*p - p + 28 = 0. Let k(r) = p*f(r) - 3*h(r). Factor k(w).
-3*w**2
Let r(f) be the second derivative of f**7/2520 + f**6/180 + f**5/30 + f**4/2 - 4*f. Let o(k) be the third derivative of r(k). Suppose o(m) = 0. Calculate m.
-2
Let f be (-6)/(48/56) - -9. Solve -2/7*s**f + 6/7 + 4/7*s = 0 for s.
-1, 3
Let l(c) be the third derivative of c**6/480 - c**5/120 + c**4/96 - 5*c**2. Factor l(w).
w*(w - 1)**2/4
Factor 3/7*c + 0 - 6/7*c**2 + 3/7*c**3.
3*c*(c - 1)**2/7
Suppose -c - 8 = 2. Let l be ((-8)/c)/(2/5). Let l + 39/4*q**3 + 9*q + 9/4*q**4 + 29/2*q**2 = 0. What is q?
-2, -1, -2/3
Let w(g) = -3*g - 6. Let n be w(-3). Let p(j) be the first derivative of -4/3*j**n + 6/5*j**5 - 2*j + 4*j**2 + 2 - 2*j**4. Factor p(o).
2*(o - 1)**2*(o + 1)*(3*o - 1)
Suppose -2*a = -3*a. Find s such that 3*s**3 + 3*s**2 + 0*s**4 + s**4 + a*s**3 + s = 0.
-1, 0
Find s, given that -4 + 2*s**2 + s**2 + 4 = 0.
0
Let i(v) be the third derivative of -v**5/30 + v**4/6 + v**3 - 5*v**2. Let i(d) = 0. Calculate d.
-1, 3
Let j be (-85)/51 + 4/6. Let y be (4 - 0)*j/(-2). Factor 7/3*v**4 + 16/3*v**3 + 0 + 11/3*v**y + 2/3*v.
v*(v + 1)**2*(7*v + 2)/3
Solve -1/4*m**3 + 0*m**4 + 1/8*m**5 + 1/8*m + 0*m**2 + 0 = 0 for m.
-1, 0, 1
Let m(c) be the third derivative of -c**7/630 - c**6/72 - c**5/45 - 10*c**2. Factor m(g).
-g**2*(g + 1)*(g + 4)/3
Let n(a) be the first derivative of -4*a**5/35 + 9*a**4/28 - 2*a**3/7 + a**2/14 + 6. Factor n(d).
-d*(d - 1)**2*(4*d - 1)/7
Let v(u) = 5*u**5 - 7*u**4 - 4*u + 4. Suppose -4*f = d + 1, 3*f + 2*d + 2 = -5. Let q(j) = j**5 - j**4 - j**2 - j + 1. Let b(i) = f*v(i) - 4*q(i). Factor b(s).
s**2*(s - 2)**2*(s + 1)
Let v(r) be the third derivative of r**8/84 + 2*r**7/105 - r**6/10 - r**5/15 + r**4/3 - 4*r**2. Let v(h) = 0. Calculate h.
-2, -1, 0, 1
Let y(k) be the second derivative of k**8/112 + 3*k**7/70 + k**6/20 + k**2/2 + k. Let l(t) be the first derivative of y(t). Suppose l(s) = 0. Calculate s.
-2, -1, 0
Let m be -1 + 0 + (4 - 3). Suppose 10 = 5*b - m. Factor 2*d**3 - b + 2*d**4 + d + 2*d**3 - 5*d.
2*(d - 1)*(d + 1)**3
Let c = -2 + 5. Suppose f - c*f = 4, 0 = -z - 4*f - 6. Suppose -9*x**4 + 6*x**2 - x**z + 3*x**3 + 0*x**2 + x = 0. What is x?
-1/3, 0, 1
Suppose 0 = -7*u - 0 + 28. Let 2/3*z**2 + 0 + 0*z + z**u - 7/3*z**3 = 0. What is z?
0, 1/3, 2
Let r(q) = 0*q - q**2 - q + 1 - 4*q. Let f(n) = n**2 + 6*n - 1. Let j be (-66)/14 - -5 - 80/(-14). Let h(t) = j*r(t) + 5*f(t). Factor h(v).
-(v - 1)*(v + 1)
Let k(w) be the first derivative of w**6/16 - 3*w**4/8 - w**3/4 + 9*w**2/16 + 3*w/4 + 3. Find v such that k(v) = 0.
-1, 1, 2
Let q(o) = 3*o**2 + 7*o - 10. Let h(d) = -3*d**2 - 11 + 15*d**2 + 27*d - 39 + 11. Let b(n) = -4*h(n) + 15*q(n). Factor b(w).
-3*(w - 1)*(w + 2)
Let f be 2/3*(1 - -2). Let r be 0 + (0 - (-4)/f). Suppose -2*t**2 + r*t**5 + 4 - 2*t**3 - 4 + 2*t**4 = 0. Calculate t.
-1, 0, 1
Let -1/3 + 1/2*y + 0*y**2 - 1/6*y**3 = 0. What is y?
-2, 1
Let i(k) = k**5 - k**4 + 3*k**3 - 3*k. Let n(c) = 2*c**5 - 2*c**4 + 5*c**3 - 5*c. Let g(v) = -5*i(v) + 3*n(v). Factor g(s).
s**4*(s - 1)
Suppose -2*x + 3 = -1. Determine h so that 7*h**4 - 1 - 3 + 15*h**2 - 2*h - 19*h**3 + h + x = 0.
-2/7, 1
Let g = -13 + 13. Let q(k) be the first derivative of 1/3*k**3 - 1/5*k**5 + 0*k + 0*k**4 - 1 + g*k**2. Factor q(m).
-m**2*(m - 1)*(m + 1)
Let o = 96 + -2299/24. Let w(q) be the third derivative of -q**2 + 0 + 1/6*q**3 - o*q**4 + 0*q + 5/48*q**5. Factor w(t).
(5*t - 2)**2/4
Let g(d) be the third derivative of -d**7/840 - d**6/96 - 3*d**5/80 - 7*d**4/96 - d**3/12 + 3*d**2. Factor g(n).
-(n + 1)**3*(n + 2)/4
Let u(z) = -3*z - 2. Let w be u(-5). Suppose d - 10 = -j, 5*j - j - w = -d. Factor -4*k - 12 - 8*k - 3*k + d*k**2 + 3*k.
3*(k - 2)*(3*k + 2)
Suppose 3*k + 13 = 2*l, 3*k + 9 = -0*k. Factor -1/2*x**l + 0*x + 1/4 + 0*x**3 + 1/4*x**4.
(x - 1)**2*(x + 1)**2/4
Let j(k) be the first derivative of 0*k**4 + 0*k**2 + 4 - k**3 + 0*k + 48/5*k**5. Factor j(f).
3*f**2*(4*f - 1)*(4*f + 1)
Let r(d) be the first derivative of -d**5/210 + d**4/42 + 3*d**2/2 - 2. Let t(a) be the second derivative of r(a). Suppose t(c) = 0. What is c?
0, 2
Let l be 1 - 3 - (-4 + 0). Find u such that 2*u**2 - 6*u**3 - 3*u**2 - 3*u**4 + 2*u**l - 4*u**2 = 0.
-1, 0
Let 0 - v - 1/2*v**3 + 3/2*v**2 = 0. Calculate v.
0, 1, 2
Let j(v) = -v**3 + 6*v**2 + 6*v + 9. Suppose -m = -2*l + 10, 2*m + 27 = -l + 6*l. Let q be j(l). Solve -5 + 2 + f**4 + q*f - 2*f**3 + 2 = 0.
-1, 1
Let m(a) be the third derivative of 9*a**7/35 - 3*a**5/5 - 2*a**4/3 - a**3/3 + 27*a**2. Factor m(r).
2*(r - 1)*(3*r + 1)**3
Let h(s) be the first derivative of -3*s**5/5 + 3*s**4/4 - 7. Factor h(i).
-3*i**3*(i - 1)
Let y be (-17)/(-5) - (0 - -3). Factor 1/5*o**2 + y*o + 0.
o*(o + 2)/5
What is p in -1/3*p - 16/3*p**3 - 8/3*p**2 + 0 = 0?
-1/4, 0
Let h(n) = n**2 - 6*n + 6. Let d be h(5). Let s(x) = 3*x**3 + 3*x**2 + 15*x. Let m(k) = -k. Let z(c) = d*s(c) + 15*m(c). Factor z(t).
3*t**2*(t + 1)
Suppose -4*i = -3*g + 10, 5 = -3*g + 5*g - i. Solve 2*w**g - 6*w + 8 - w - w = 0 for w.
2
Let m(w) be the second derivative of 1/12*w**3 + 1/96*w**4 - 1/240*w**5 + 3/2*w**2 - 3*w + 0. Let t(y) be the first derivative of m(y). Factor t(u).
-(u - 2)*(u + 1)/4
Suppose 5*u + 4*j - 24 = 0, 3*j = 3*u - 8*u + 23. Suppose -c + u = 1. Factor 5/3*v**c + 0 + 1/3*v**2 + v**4 - 1/3*v.
v*(v + 1)**2*(3*v - 1)/3
Let l(k) = k + 10. Let r be l(-10). Suppose r*f + 2*f = 4. Suppose -2/5*u**4 - 4/5*u**3 + 0*u**f + 2/5 + 4/5*u = 0. Calculate u.
-1, 1
Suppose -5*z = -2*o + 21 - 7, 2*o + 4*z + 4 = 0. Solve -4*w + o*w - 2*w**3 + 0*w + 4*w**3 = 0 for w.
-1, 0, 1
Let w(n) be the second derivative of n**5/20 - n**3/6 - n. Determine p, given that w(p) = 0.
-1, 0, 1
Let g = 118 - 824/7. Factor -g*b + 0 - 6/7*b**2 - 6/7*b**3 - 2/7*b**4.
-2*b*(b + 1)**3/7
Suppose -v - 7 = -4*j, -v = -j - 4*v + 18. Determine d so that j*d + 10*d**2 - 4*d + 5*d + 8*d**3 + 2*d**4 = 0.
-2, -1, 0
Let f(m) = m**2 - 3*m. Let s be f(4). Let d(w) be the second derivative of -1/3*w**3 + 0*w**s + 0 + 0*w**2 + 1/10*w**5 + w. Factor d(y).
2*y*(y - 1)*(y + 1)
Let d(y) be the first derivative of 3*y**6/4 - 9*y**5/10 - y**4/8 + y**3/6 - 2. Suppose d(b) = 0. Calculate b.
-1/3, 0, 1/3, 1
Let -1/6*a**3 + 1/3 - 5/6*a + 2/3*a**2 = 0. What is a?
1, 2
Let n(w) = w**3 + 14*w**2 - 13*w + 30. Let x be n(-15). Let h(z) be the second derivative of 0*z**2 + z - 1/10*z**5 - 1/6*z**4 + 2/3*z**3 + x. Factor h(c).
-2*c*(c - 1)*(c + 2)
Let i(g) be the first deri