e first derivative of -r**4/14 + 2*r**3/21 + 2*r**2/7 + 7. Find u, given that t(u) = 0.
-1, 0, 2
Solve -3 + 6*s + 14*s**2 - 9*s**2 - 8*s**2 = 0.
1
Let h(n) be the third derivative of -n**6/180 - n**5/30 - n**4/12 + n**3/6 + 4*n**2. Let m(z) be the first derivative of h(z). Factor m(p).
-2*(p + 1)**2
Suppose 14*s - 5*s**3 + 3*s**5 + 18*s**2 - 8 - 7*s**4 - s**4 - 10*s = 0. What is s?
-1, 2/3, 2
Suppose 5 = 9*w - 13. Let x(d) be the first derivative of 2*d + 3*d**3 + 7/2*d**2 + w + 5/4*d**4 + 1/5*d**5. Factor x(h).
(h + 1)**3*(h + 2)
Let r(c) be the second derivative of 1/18*c**4 + 1/9*c**3 + 0 + 2*c + 0*c**2. Solve r(v) = 0.
-1, 0
Let j be 4*(3 - (-116)/(-40)). Factor 2/5 + j*a**2 + 4/5*a.
2*(a + 1)**2/5
Let z(m) = m**2 - 5*m - 6. Let i be z(6). Let i*r**2 + 2*r**2 - 8*r - 8*r**2 + 2*r**2 = 0. What is r?
-2, 0
Let f be (-6)/7*(-420)/135. Let v(k) be the second derivative of f*k**3 - 11/3*k**4 + 2*k - k**2 + 4/21*k**7 + 14/5*k**5 + 0 - 17/15*k**6. Factor v(s).
2*(s - 1)**4*(4*s - 1)
Factor 1/2*l**2 - 1/8*l**4 + 0*l + 0*l**3 + 0.
-l**2*(l - 2)*(l + 2)/8
Let v(f) = 4*f**3 + 3*f**2 - 3*f + 3. Let m(h) = -3*h**3 - 2*h**2 + 2*h - 2. Let x(j) = -3*m(j) - 2*v(j). Suppose x(u) = 0. Calculate u.
0
Factor 2/3*z - 2/3*z**3 - 2/3*z**4 + 2/3*z**2 + 0.
-2*z*(z - 1)*(z + 1)**2/3
Let z(n) be the third derivative of -n**9/302400 + n**8/33600 - n**7/12600 + n**5/15 - n**2. Let f(b) be the third derivative of z(b). Factor f(v).
-v*(v - 2)*(v - 1)/5
Let b(p) = -p**2. Let u(o) = -12*o**2 - 12*o - 8. Let x(d) = -8*b(d) + u(d). Factor x(c).
-4*(c + 1)*(c + 2)
Let i(d) be the third derivative of d**11/332640 - d**9/60480 - d**5/60 - 4*d**2. Let t(j) be the third derivative of i(j). Let t(s) = 0. What is s?
-1, 0, 1
Let h = 18 - -6. Let l = h + -24. Let 2/11*k**3 + 0 + l*k**2 + 0*k + 4/11*k**4 + 2/11*k**5 = 0. Calculate k.
-1, 0
Let n(h) = 2*h + 11 + h - 2*h. Let j be n(-8). Let -4*y + 6*y + 0*y**j - 3*y**3 + y**3 = 0. Calculate y.
-1, 0, 1
Let x(p) be the third derivative of p**6/120 + 2*p**5/15 + 7*p**4/24 + p**3/3 + 3*p**2. Let s be x(-7). Factor 1 + 2*h**3 - 1 - s*h + 0.
2*h*(h - 1)*(h + 1)
Let v(p) be the second derivative of p**4/18 + 2*p**3/9 - p**2 - 13*p. Factor v(x).
2*(x - 1)*(x + 3)/3
Let c be 1 + 1*(-4 - -6). Find u such that 0 - 1/3*u**2 - 1/3*u**c + 2/3*u = 0.
-2, 0, 1
Factor 0*w + 0 - 2/9*w**2 + 2/9*w**3.
2*w**2*(w - 1)/9
Let l(h) = -3*h**4 + 4*h**3 - 3*h**2 - 6*h + 4. Let x(s) = -7*s**4 + 9*s**3 - 6*s**2 - 13*s + 9. Let w(o) = 9*l(o) - 4*x(o). Factor w(z).
z*(z - 2)*(z + 1)**2
Let o(c) be the first derivative of -5*c**6/21 + 46*c**5/35 - 15*c**4/7 + 8*c**3/21 + 8*c**2/7 - 14. Determine w so that o(w) = 0.
-2/5, 0, 1, 2
Let f(q) be the third derivative of 0 + 1/525*q**7 + 1/300*q**6 + 0*q + 0*q**3 + 0*q**4 - 2*q**2 + 0*q**5. Let f(l) = 0. What is l?
-1, 0
Let n(j) be the third derivative of j**6/720 + j**5/120 + 23*j**2. Determine c so that n(c) = 0.
-3, 0
Let m be (1 - 4)*((-5)/1)/5. Suppose 3*a - 15 = -2*a. Find i such that 0*i - m*i**2 + 4*i**a + 1/2 - 3/2*i**4 = 0.
-1/3, 1
Factor 1/7 + 8/7*w**4 + 4/7*w**5 + 1/7*w**3 - 1/7*w - 5/7*w**2.
(w + 1)**3*(2*w - 1)**2/7
Let f(s) = s**2 - 9*s + 3. Let b be f(9). Factor c + 2*c**5 - c**3 - c**5 - c**b.
c*(c - 1)**2*(c + 1)**2
Let a(t) = -2*t**2 + 2*t - 2. Let k(q) = -q - q**5 + 1 + 0*q**5 + 0*q**5 + q**2 + q**3. Let w(o) = a(o) + 2*k(o). Factor w(x).
-2*x**3*(x - 1)*(x + 1)
Let q be (12/9)/(30/9). What is n in -q*n**2 + 8/5*n - 8/5 = 0?
2
Let u be (-1*2)/8 - (-15)/48. Let c(q) be the first derivative of -1/20*q**5 + 0*q + 0*q**2 + 1/6*q**3 + u*q**4 - 2. Factor c(g).
-g**2*(g - 2)*(g + 1)/4
Find r such that -6/5*r - 2/5*r**2 - 4/5 = 0.
-2, -1
Let s(c) be the second derivative of c**4/12 - 7*c**3/3 + 49*c**2/2 - 12*c. Solve s(h) = 0 for h.
7
Determine c so that 4*c**2 + 62*c - 2*c**2 + 3*c**2 - 72*c = 0.
0, 2
Let o(s) be the second derivative of -s**6/45 + s**5/15 + s**4/18 - 2*s**3/9 - 9*s. Find y, given that o(y) = 0.
-1, 0, 1, 2
Let s(a) = -4*a**2 + 6*a - 2. Let f(p) = 3*p**2 - 5*p + 2. Let d(q) = 5*f(q) + 4*s(q). Factor d(r).
-(r - 1)*(r + 2)
Suppose 0 = 5*x - 21 - 9. Suppose -x = -0*l - 3*l. Solve -4*k + l - 10*k**2 - 8*k**3 + 6*k**2 - 10*k**2 = 0.
-1, 1/4
Let b(w) be the third derivative of -2*w**7/105 + 2*w**6/15 - w**5/5 + 27*w**2. Factor b(v).
-4*v**2*(v - 3)*(v - 1)
Let f(n) = -n + 8. Let z = 10 + -4. Let u be f(z). Let -2/3 - 2/3*o**u - 4/3*o = 0. Calculate o.
-1
Let w = 11 - 9. Solve g**3 + 4*g**4 + w*g**4 - 4*g**4 - 3*g**3 = 0.
0, 1
Find q, given that 0 + 1/3*q**2 - 1/3*q = 0.
0, 1
Let v(c) = -4*c**2 - 8*c + 1. Let y = 4 + 1. Let g(f) = 4*f**2 - f + y*f - 2*f**2. Let n(i) = -5*g(i) - 2*v(i). Solve n(d) = 0.
-1
Let w(l) be the third derivative of 1/105*l**7 + 0 - 1/120*l**6 + 0*l - 2*l**2 + 0*l**5 + 0*l**3 + 0*l**4 - 1/336*l**8. Find n, given that w(n) = 0.
0, 1
Let w be (-3 - -4)/(2/(-4))*-1. Let p be (-4 - -1)*6/(-4). Factor -1/2*s**w + 3*s - p.
-(s - 3)**2/2
Let x(s) = -4*s**2 + 4. Suppose -2*o - 7 = -19. Let p(c) = -4*c**2 - c + 5. Let l(z) = o*p(z) - 7*x(z). Suppose l(h) = 0. What is h?
1/2, 1
Suppose -2 - 2 = -2*c. What is v in 4*v - c*v + v**2 - 4*v + 1 = 0?
1
Factor 306*x**2 - 4*x**3 + 0 - 96*x - 6 - 58 - 342*x**2.
-4*(x + 1)*(x + 4)**2
Let k(m) be the first derivative of -m**6/6 - 3*m**5/5 + m**4/4 + m**3 + 33. Factor k(g).
-g**2*(g - 1)*(g + 1)*(g + 3)
Let d(q) be the second derivative of -q**9/15120 + q**8/3360 - q**7/2520 + 5*q**4/12 - q. Let i(j) be the third derivative of d(j). Factor i(h).
-h**2*(h - 1)**2
Let p(t) = -t**2 - 1. Let j(b) = 5*b - 5. Let d(y) = -j(y) + 5*p(y). Factor d(f).
-5*f*(f + 1)
Let z(j) be the second derivative of j**6/6 + 3*j**5/4 - 10*j**3/3 + 19*j. Find p such that z(p) = 0.
-2, 0, 1
Let v(n) be the third derivative of n**6/840 - n**5/140 - 3*n**4/56 - 5*n**3/42 - 31*n**2. Factor v(a).
(a - 5)*(a + 1)**2/7
Let b(p) be the third derivative of -p**5/100 - 7*p**4/20 + 31*p**2. Find r such that b(r) = 0.
-14, 0
Let l(z) be the third derivative of -z**7/350 + 3*z**6/200 - z**5/50 + 12*z**2. Factor l(i).
-3*i**2*(i - 2)*(i - 1)/5
Let h = 5 + -2. Solve 2/5*t**h - 6/5*t**2 - 2/5 + 6/5*t = 0 for t.
1
Suppose 3*j = 1 + 2. Let q(t) be the first derivative of j - 1/20*t**5 - 1/16*t**4 + 0*t + 1/12*t**3 + 1/8*t**2. Factor q(h).
-h*(h - 1)*(h + 1)**2/4
Let s be (-30)/8*(-8)/3. Let u = s + -7. Find c, given that 3*c**u - c**2 + 0*c**2 + c**5 + 2*c**2 + 3*c**4 = 0.
-1, 0
Let h(z) be the third derivative of -z**7/2520 + z**6/1080 - z**3/2 + 3*z**2. Let a(x) be the first derivative of h(x). Determine q so that a(q) = 0.
0, 1
Factor -26*h - 12*h - 48 + 10*h + 0*h - 4*h**2.
-4*(h + 3)*(h + 4)
Let r(u) = 2*u**2 + 3*u. Let i(h) = h**2 + 2*h. Let t(a) = -7*i(a) + 4*r(a). Find b, given that t(b) = 0.
0, 2
Let a(w) be the second derivative of w**7/42 - w**6/15 - w**5/20 + w**4/6 + 2*w. Find s, given that a(s) = 0.
-1, 0, 1, 2
Let m = 17 + -20. Let p(a) = -3*a**3 - 8*a**2 - 7*a. Let o(y) = -4*y**3 - 9*y**2 - 6*y. Let u(q) = m*p(q) + 2*o(q). Factor u(w).
w*(w + 3)**2
Let x = 21 - 21. Suppose -2*n**2 - 3*n**4 - 4*n**3 + x*n + 1/5 - 4/5*n**5 = 0. Calculate n.
-1, 1/4
Factor 5*q**4 - 15*q**3 + 15*q**2 - 2*q + 0*q**2 - 3*q.
5*q*(q - 1)**3
Let z(i) be the third derivative of 1/12*i**6 + 0*i**3 + 0*i - 7/30*i**5 + 1/6*i**4 - i**2 + 0. Factor z(c).
2*c*(c - 1)*(5*c - 2)
Let f(z) = -8*z**2 + 8*z - 2. Let w(x) = -17*x**2 + 17*x - 5. Let u(q) = -13*f(q) + 6*w(q). Find j, given that u(j) = 0.
-1, 2
Let o(u) be the third derivative of -10*u**2 + 0 + 0*u**3 + 0*u + 1/8*u**4 - 1/20*u**5. Factor o(m).
-3*m*(m - 1)
Let n(b) be the second derivative of -3*b**5/80 + 3*b**3/8 - 3*b**2/4 - 3*b. Solve n(m) = 0.
-2, 1
Let t = -5 + 7. Find r, given that -2*r**2 + 5*r + t*r**5 + 2*r**4 - 5*r - 2*r**3 = 0.
-1, 0, 1
Let g be 2/(-2) - (-1)/(6/8). Let f(v) be the second derivative of 0*v**3 - g*v**2 + 0 + 1/18*v**4 - v. Let f(z) = 0. Calculate z.
-1, 1
Let w(a) be the third derivative of a**7/210 + a**6/120 - a**5/30 - 12*a**2. Solve w(y) = 0.
-2, 0, 1
Let -10/3*a + 2/3*a**3 - 2/3*a**2 - 2 = 0. What is a?
-1, 3
Let d(w) be the first derivative of -w**8/5880 - w**3/3 + 1. Let m(q) be the third derivative of d(q). Let m(o) = 0. What is o?
0
Let x(t) = -t**3 - 2*t**2 - 4*t - 1. Let w be x(-1). Let 1/2*j**w + 1/2 + 