first derivative of -2/5*p**5 + 0*p**2 - 2/3*p**3 + 0*p - p**4 + 3. Let w(r) = 0. Calculate r.
-1, 0
Let i be (-6)/(-27) - (-64)/36. Suppose -h + i*h = 3. Find u, given that -2*u**4 + 8*u**2 + 9*u - 9*u**3 - 6 + h*u**4 + 2*u**4 - 5*u**2 = 0.
-1, 1, 2
Let t(i) be the second derivative of 0*i**3 + 7*i + 0*i**4 + 0*i**2 + 1/105*i**6 + 0 + 1/70*i**5. Find r such that t(r) = 0.
-1, 0
Let x(n) = n**3 - 5*n**2 + n - 2. Let s be x(5). Find o such that -20*o**4 + 3*o**s + 6*o**2 - 4*o**5 + o**5 + 14*o**4 = 0.
-2, -1, 0, 1
Suppose p - 3*p + 4 = 0. Let i(c) be the third derivative of -1/120*c**5 + 0*c + 0 + 0*c**3 + c**p + 0*c**4. Factor i(r).
-r**2/2
Let t be ((-4)/6)/((-42)/36). Factor -16/7*p**3 - 6/7*p**4 - t*p - 2*p**2 + 0.
-2*p*(p + 1)**2*(3*p + 2)/7
Factor 1/5*b**3 - 2/5 - 4/5*b**2 + b.
(b - 2)*(b - 1)**2/5
Let c = -50 + 103/2. Find p, given that 1/2*p**2 + 1 - c*p = 0.
1, 2
Suppose -2*x - 2*k = -6*x + 22, 3 = -4*x - 3*k. Let d(j) be the second derivative of 0 + 3/16*j**4 + 1/2*j**2 + 4*j - 1/2*j**x. Suppose d(y) = 0. What is y?
2/3
Let l be 9/4 + (-1)/4. Determine q so that -3*q**2 + 6 - 21*q - 8*q**l + 12*q**3 - 4*q**2 = 0.
-1, 1/4, 2
Let c(j) = -9*j**2 - 12*j - 13. Let v(h) = -13*h**2 - 18*h - 19. Let k(s) = 7*c(s) - 5*v(s). Solve k(q) = 0.
-2, -1
Let h(c) be the second derivative of -c**5/4 + 5*c**4/6 + 20*c**3/3 + 35*c. Factor h(b).
-5*b*(b - 4)*(b + 2)
Let d be 17/5 + (-2)/5. Suppose -2*x + x + 8 = a, 4*a + 2*x = 22. Let -5*v**2 - v**a - v**2 + d*v**2 + 4 = 0. Calculate v.
-2, 1
Let o(l) be the first derivative of 0*l + 0*l**5 + 0*l**2 + 0*l**4 + 1 + 0*l**6 + 1/840*l**7 + 1/3*l**3. Let n(h) be the third derivative of o(h). Factor n(s).
s**3
Let z(c) be the first derivative of -5*c**6/12 - c**5 - 5*c**4/8 + 6. Find w such that z(w) = 0.
-1, 0
Let h(z) = -3*z**2 - z - 3. Suppose 5*w - a = -5*a - 41, w + 25 = -5*a. Let b(d) = d**2 + 1. Let m(f) = w*b(f) - 2*h(f). Factor m(l).
(l + 1)**2
Let k(n) be the third derivative of -9*n**8/4 + 78*n**7/35 + 11*n**6/5 - 52*n**5/15 + 4*n**4/3 - 5*n**2. Determine l, given that k(l) = 0.
-2/3, 0, 2/7, 1/3, 2/3
Let u(z) be the third derivative of -z**8/3360 - z**7/1050 + 7*z**6/1200 - z**5/150 - 47*z**2. Let u(c) = 0. What is c?
-4, 0, 1
Let i(q) be the third derivative of -q**6/20 + 4*q**5/15 - 7*q**4/12 + 2*q**3/3 + 3*q**2. Factor i(k).
-2*(k - 1)**2*(3*k - 2)
Let t(a) be the third derivative of 0 + 1/20*a**5 + a**3 + 3*a**2 - 3/8*a**4 + 0*a. Factor t(j).
3*(j - 2)*(j - 1)
Let n = -1406 + 1406. Let n + 0*o - 1/7*o**2 = 0. What is o?
0
Let z(i) be the second derivative of i**7/2520 + i**6/540 + 5*i**3/3 + 6*i. Let a(j) be the second derivative of z(j). Factor a(n).
n**2*(n + 2)/3
Let j(t) be the third derivative of -t**6/40 + 23*t**5/60 + 5*t**4/12 - 8*t**3/3 + 27*t**2. Determine u so that j(u) = 0.
-1, 2/3, 8
Let z = -90 - -636/7. Let m be (-24)/(-11) + ((-18)/(-33))/(-3). Find x such that 2*x**4 - 6/7*x**3 + 4/7*x - 6/7*x**5 + 0 - z*x**m = 0.
-2/3, 0, 1
Let v(y) = -y**4 - y**3 + y**2 + 1. Let k(p) = -3*p**5 + 4*p**4 + 7*p**3 - 6*p**2 - 6. Let q(d) = -k(d) - 6*v(d). Factor q(s).
s**3*(s + 1)*(3*s - 1)
Let y(u) be the second derivative of -u**4/120 + 2*u**3/3 - 20*u**2 - 61*u. Factor y(x).
-(x - 20)**2/10
Let f(b) be the first derivative of -2*b**3/33 - 38*b**2/11 - 722*b/11 - 7. Factor f(m).
-2*(m + 19)**2/11
Let v(g) be the third derivative of -g**6/600 - g**5/100 - g**4/60 + 3*g**2. Factor v(h).
-h*(h + 1)*(h + 2)/5
Let w(u) = -7*u**2 - 15*u. Let f(q) = -8*q**2 - 16*q. Let o(j) = 5*f(j) - 6*w(j). Find r such that o(r) = 0.
-5, 0
Let k(m) = m**2 + m. Let t be k(2). Suppose -2 = -4*l + t. Determine b so that -2 - b**3 - 6*b - 4*b**3 + 3*b**3 - 6*b**l = 0.
-1
Let m(u) be the second derivative of u**4/84 - 10*u**3/21 + 50*u**2/7 + 20*u. Let m(d) = 0. What is d?
10
Let r(l) be the third derivative of l**7/180 - 4*l**6/135 + l**5/45 + 2*l**3/3 - l**2. Let h(d) be the first derivative of r(d). Suppose h(n) = 0. What is n?
0, 2/7, 2
Determine t, given that 3*t**4 + 4*t**2 - 3*t**2 - 7*t**2 - 4*t - t**4 = 0.
-1, 0, 2
Let o(n) = 43*n**2 + 43*n + 9. Let w(h) = -29*h - 1 - 29*h**2 - 1 - 4. Let u(p) = 5*o(p) + 7*w(p). Suppose u(f) = 0. What is f?
-1/2
Let p(r) = r**5 + r**4 - 3*r**3 - r**2 + 2*r. Let f(d) = -4*d**5 - 2*d**4 + 9*d**3 + 4*d**2 - 7*d. Let b(i) = -6*f(i) - 21*p(i). Factor b(o).
3*o**2*(o - 1)**3
Let y(c) = 8*c**3 + c**2 + 3*c. Let u(j) = -15*j**3 - j**2 - 5*j. Let l(g) = -g**2 + 9*g + 4. Let w be l(9). Let z(x) = w*u(x) + 7*y(x). Factor z(p).
-p*(p - 1)*(4*p + 1)
Let c be -6 - -10 - (-2 + 3). Let h(u) be the third derivative of 3*u**2 - 1/12*u**c + 1/96*u**4 + 0*u + 1/240*u**5 + 0. Determine a so that h(a) = 0.
-2, 1
Let a(l) be the first derivative of l**4/2 + 16*l**3/9 + 13*l**2/9 + 4*l/9 + 6. Let a(s) = 0. Calculate s.
-2, -1/3
Let g(u) be the second derivative of -u**9/37800 + u**8/5600 - u**7/2100 + u**6/1800 - u**4/4 + u. Let t(h) be the third derivative of g(h). Factor t(f).
-2*f*(f - 1)**3/5
Let v(p) be the first derivative of -p**6/360 + p**5/20 - 3*p**4/8 + 7*p**3/3 + 9. Let w(h) be the third derivative of v(h). Factor w(b).
-(b - 3)**2
Let i(u) be the first derivative of u**6/240 + u**5/120 - u**4/48 - u**3/12 - u**2 - 2. Let l(w) be the second derivative of i(w). Factor l(z).
(z - 1)*(z + 1)**2/2
Let y = 2336/2097 + -2/699. Let o = 16/9 - y. Factor -1/3 + g**2 + o*g.
(g + 1)*(3*g - 1)/3
Let x(o) = -o**2 - 1. Let l(r) = -2*r**2. Let d(q) = l(q) - x(q). Determine h, given that d(h) = 0.
-1, 1
Let x(q) = q**2 - 10*q + 11. Suppose -5*a + 5*r + 87 - 32 = 0, -4*a + r + 38 = 0. Let g be x(a). Determine p, given that -8/3*p + 8/3 + 2/3*p**g = 0.
2
Let x(b) be the third derivative of 2*b**7/525 + b**6/150 - b**5/75 - b**4/30 + 11*b**2. Factor x(m).
4*m*(m - 1)*(m + 1)**2/5
Let s(i) be the first derivative of i**7/2520 + i**6/360 + i**5/180 + 2*i**3 - 10. Let m(j) be the third derivative of s(j). Factor m(z).
z*(z + 1)*(z + 2)/3
Factor 7*u**2 + 11*u**2 - 10*u**2 + 6*u + 2*u**3 + 0*u**3.
2*u*(u + 1)*(u + 3)
Solve 3 - 14*q**2 - 21*q**2 + 10*q + 6 - 4 + 20*q**3 = 0 for q.
-1/4, 1
Let c(b) = -b**3 + b**2 + b + 2. Let f(q) = 2*q**3 - 2*q**2 - 2*q - 5. Let j(s) = -7*c(s) - 3*f(s). Factor j(h).
(h - 1)**2*(h + 1)
Let j(i) be the third derivative of i**6/40 + i**5/3 + 13*i**4/8 + 3*i**3 + 3*i**2. Let j(g) = 0. What is g?
-3, -2/3
Let j(h) be the third derivative of h**6/30 + h**5/5 - h**4/6 - 2*h**3 + 10*h**2. Factor j(n).
4*(n - 1)*(n + 1)*(n + 3)
Suppose 3/7*s - 45/7*s**2 + 18/7 + 9/7*s**3 + 15/7*s**4 = 0. What is s?
-2, -3/5, 1
Let m = -710/77 - -114/11. Determine t so that 8/7*t**2 - m*t + 0 - 2/7*t**3 = 0.
0, 2
Let i(a) = -a + 2. Suppose 3*c = 2*c. Let y be i(c). Suppose -b + 0*b**3 - b**5 - b + 6*b**3 - 3*b**3 + b**y - b**4 = 0. What is b?
-2, -1, 0, 1
Let k be (8/16)/((-3)/(-2)). Suppose 0 + a**3 - a**2 - k*a**4 + 1/3*a = 0. Calculate a.
0, 1
Let l be (1 + -3 + -1)*-1. Let 1/2*y**5 + 0*y**4 - y**l + 0*y**2 + 0 + 1/2*y = 0. Calculate y.
-1, 0, 1
Determine w, given that 39*w**2 - 95*w + 106*w**2 + 10 - 75*w**3 + 15*w**2 = 0.
2/15, 1
Let j(k) be the first derivative of -2*k**6/3 + 18*k**5/5 - 7*k**4 + 6*k**3 - 2*k**2 + 11. Find t such that j(t) = 0.
0, 1/2, 1, 2
Let c = 37 - 181/5. Let w = 634/805 - -2/161. Factor 2/5*m**4 - w*m - 2/5 + 0*m**2 + c*m**3.
2*(m - 1)*(m + 1)**3/5
Let f(o) be the third derivative of 0*o**3 + 1/600*o**6 + 4*o**2 + 0 + 1/30*o**4 + 1/75*o**5 + 0*o. Solve f(b) = 0.
-2, 0
Let c = 5/2 + -9/4. Let f(l) = -l**2 + 19*l + 4. Let o be f(19). What is q in -1/2*q**5 - 7/2*q**2 - 3/2*q - 9/4*q**o - c - 4*q**3 = 0?
-1, -1/2
Let f(i) = -i**2 - 3*i - 3. Let j(n) = -n - 1. Let p(c) = -f(c) + 3*j(c). Determine d so that p(d) = 0.
0
Factor 0 + 2/15*b + 2/15*b**2.
2*b*(b + 1)/15
Let s(u) be the second derivative of -u**6/30 + u**5/10 + u**4/4 - 8*u. Factor s(x).
-x**2*(x - 3)*(x + 1)
Let m(v) = -3*v**3 + 33*v**2 - 46*v + 16. Let p(r) = r**3 - 11*r**2 + 15*r - 5. Let q(j) = -4*m(j) - 11*p(j). Let q(w) = 0. Calculate w.
1, 9
Let l(x) = 3*x**2. Let w be l(-1). Factor -5*o**w - 3*o**4 + 3*o**5 + 7*o**2 - 4*o**2 + 2*o**3.
3*o**2*(o - 1)**2*(o + 1)
Let f(d) = 23*d - 113. Let b be f(5). Factor 2/3*q**2 - b*q + 0.
2*q*(q - 3)/3
Determine g, given that 4/21*g + 0 + 2/21*g**2 - 2/21*g**3 = 0.
-1, 0, 2
Let