)/7
Let w(p) be the third derivative of 0*p**5 + 0*p + 1/20*p**6 + 4*p**2 - 1/3*p**4 + 0*p**3 + 1/105*p**7 + 0. Solve w(b) = 0 for b.
-2, 0, 1
Let g be (-197)/(-60) + 8/60. Let m = g - 5/3. Let -m*a + 5/4*a**2 + 1/2 = 0. What is a?
2/5, 1
Factor 0 - 2/7*j**2 + 8/7*j.
-2*j*(j - 4)/7
Factor -2/7*p**3 + 4/7*p**2 - 2/7*p + 0.
-2*p*(p - 1)**2/7
Find v such that 3/5*v**5 - 3/5*v**2 - 9/5*v**4 + 0*v + 9/5*v**3 + 0 = 0.
0, 1
Let m(l) be the third derivative of l**8/336 + l**7/210 - l**6/40 - l**5/60 + l**4/12 + 31*l**2. Solve m(a) = 0 for a.
-2, -1, 0, 1
Determine w, given that -1/5*w + 0 - 1/5*w**2 = 0.
-1, 0
Let x(g) be the second derivative of -g**7/21 + g**6/5 + 2*g**5/5 - 8*g**4/3 + 16*g**2 + 26*g. Factor x(o).
-2*(o - 2)**3*(o + 1)*(o + 2)
Let r(g) = -2*g**3 + g**2 + 16*g - 3. Let d(h) = 10*h**3 - 6*h**2 - 80*h + 14. Let o(c) = -3*d(c) - 14*r(c). Factor o(i).
-2*i*(i - 4)*(i + 2)
Find w, given that -8/13*w - 6/13*w**2 - 2/13 = 0.
-1, -1/3
Let s(y) be the first derivative of -y**3/18 + y/6 + 11. What is q in s(q) = 0?
-1, 1
Let r(q) = 25*q**4 + 9*q**3 - 25*q**2 + 8*q. Let z(h) = -3*h**2 + 0*h**2 + 3*h**4 + h**3 - 5*h + 6*h. Let u(b) = 6*r(b) - 51*z(b). Factor u(d).
-3*d*(d - 1)**2*(d + 1)
Let u = 47/72 - -1/72. Factor 0 + 2*z**2 + 2/3*z**4 - 2*z**3 - u*z.
2*z*(z - 1)**3/3
Suppose 0 = 3*x - 3 - 3. Let p = x + 0. Determine l, given that -10/9*l**p - 4/9*l + 0 = 0.
-2/5, 0
Factor -7*n - 2*n - n**3 - 10 + 4*n + 10*n**2 + 6*n**3.
5*(n - 1)*(n + 1)*(n + 2)
Let o(d) = 2 + 0*d**2 + 0*d**2 + 4*d + d**2. Let s be o(-4). Factor 2/7*x**s - 2/7 + 0*x.
2*(x - 1)*(x + 1)/7
Let s be (-20)/((-5)/((-10)/(-4))). Suppose -3*j + s = -o, j + 5*o = o + 12. Factor -2/7*k + 4/7*k**3 + 2/7*k**j - 4/7*k**2 + 2/7 - 2/7*k**5.
-2*(k - 1)**3*(k + 1)**2/7
Let y = -43 + 47. Suppose y = -18*w + 20*w. Solve -2/13*f**4 + 0*f + 4/13*f**3 - 2/13*f**w + 0 = 0 for f.
0, 1
Let n(f) be the first derivative of f**6/420 + f**5/70 + f**4/28 + f**3/21 + 3*f**2/2 + 2. Let u(h) be the second derivative of n(h). Factor u(a).
2*(a + 1)**3/7
Suppose 0 = 4*q - 8*q. Let k(l) be the second derivative of -1/12*l**4 - 1/20*l**5 + 0*l**3 - 3*l + 0*l**2 + q. Let k(g) = 0. What is g?
-1, 0
Let h(k) be the second derivative of 0 - 12/5*k**5 + 2*k + 8*k**3 - 31/6*k**4 - 4*k**2 + 7/3*k**6. Find c, given that h(c) = 0.
-1, 2/7, 2/5, 1
Solve 2/3*p**3 - 1/3*p**5 + 0*p**2 + 0 - 1/3*p + 0*p**4 = 0.
-1, 0, 1
Suppose -3*a + a = 0. Suppose a + 4 = 2*i. Find y, given that 0*y**i + 2/3*y - 1/3 + 1/3*y**4 - 2/3*y**3 = 0.
-1, 1
Let z = -2/479 - -964/1437. Factor 4/3 - 2/3*c - z*c**2.
-2*(c - 1)*(c + 2)/3
Determine a so that -2/5*a**2 + 0*a - 2/5*a**3 + 0 = 0.
-1, 0
Let o(u) = 3*u**3 + 13*u**2 - 5*u - 1. Let s(a) = a**3 + 6*a**2 - 3*a. Let f(j) = 4*o(j) - 10*s(j). Factor f(i).
2*(i - 2)*(i - 1)**2
Let g(a) be the first derivative of -a**5/5 + a**4/2 + a**3/3 - a**2 + 27. Determine t, given that g(t) = 0.
-1, 0, 1, 2
Let z = 74 + -71. Factor 1/2*x + x**2 + 1/2*x**z + 0.
x*(x + 1)**2/2
Let c = -38 - -59. Suppose -3*s + 5*t = -24, s + s = 5*t + c. Factor 2/3 + 7/3*f + 1/3*f**4 + 5/3*f**s + 3*f**2.
(f + 1)**3*(f + 2)/3
Suppose 5 = j + d + 1, 3*j - 4*d = -2. Let -1/4*w**3 - j*w + 1 + 5/4*w**2 = 0. Calculate w.
1, 2
Let u(i) be the first derivative of -1/3*i**3 - 2 + 3/2*i**2 - 2*i. Factor u(k).
-(k - 2)*(k - 1)
Let o(d) be the second derivative of d**5/30 - 2*d**4/27 + d**3/27 - 2*d. Suppose o(m) = 0. Calculate m.
0, 1/3, 1
Let o(h) be the second derivative of -h**7/70 + 3*h**5/50 - h**3/10 - 6*h. Factor o(b).
-3*b*(b - 1)**2*(b + 1)**2/5
Let z = -324 - -326. What is f in -2/5 - 4/5*f**z - 6/5*f = 0?
-1, -1/2
Let t(r) = -2*r**2 + 3*r - 4. Let x(z) = 1 + 1 + z**2 + 1 - 2*z. Let c be (-2)/(1/(3/2)). Let p(j) = c*x(j) - 2*t(j). Solve p(h) = 0 for h.
-1, 1
Let f(a) be the second derivative of a**6/60 + a**5/40 - 5*a. Factor f(h).
h**3*(h + 1)/2
Let w(y) = y**3 - 9*y**2 + 12*y + 16. Let f be w(7). Let c(v) be the first derivative of -1/12*v**3 - 1/8*v**f - 2 + 0*v. Suppose c(b) = 0. Calculate b.
-1, 0
Let n = 25 - 17. Suppose 7*s**4 - 12*s**2 + 11*s**4 + n*s - 32*s**2 + 48*s**3 + 18*s**4 = 0. Calculate s.
-2, 0, 1/3
Let k(w) be the third derivative of w**8/70560 + w**7/4410 + w**6/840 + w**5/20 + 5*w**2. Let m(r) be the third derivative of k(r). Solve m(h) = 0.
-3, -1
Suppose 0 = 2*d + 2*j + 3*j + 2, -10 = 5*j. Suppose d*b - 25 = -b. Determine r so that -r**5 + 3*r**3 + r**2 - 3*r**b + 3*r**4 + 5*r**5 = 0.
-1, 0
Let a(x) = x**3 + 4*x**2 - 7*x - 10. Let c be a(-5). Factor 2/5*h**2 + c - 2/5*h.
2*h*(h - 1)/5
Let b(s) be the first derivative of 0*s**2 + 0*s - 2/55*s**5 - 3/22*s**4 + 2 - 4/33*s**3. Find c such that b(c) = 0.
-2, -1, 0
Let s be (-2)/4 - (-117)/26. Find a such that a + 0*a**3 - s*a**2 - a**3 + 1 + 3*a**2 = 0.
-1, 1
Let -2*j + 1/4*j**2 + 4 = 0. What is j?
4
Let v(j) be the third derivative of j**7/70 - 3*j**6/40 + 3*j**5/20 - j**4/8 + 5*j**2 - 5. Solve v(r) = 0.
0, 1
Let y be (-51)/(-18) + 15/90. Factor 2/3*q**5 - 2/3*q**2 + 0 + 2/3*q**4 - 2/3*q**y + 0*q.
2*q**2*(q - 1)*(q + 1)**2/3
Let y(v) be the second derivative of v**7/189 + v**6/45 + v**5/45 + 2*v. Factor y(j).
2*j**3*(j + 1)*(j + 2)/9
Let u = -47/2 - -565/24. Let n(c) be the second derivative of 0 - 2*c + 1/12*c**3 - u*c**4 + 0*c**2. What is v in n(v) = 0?
0, 1
Let x be (49/7 + -8)/((-2)/6). Factor -66/7*s**2 - 32/7*s**4 - 20/7*s - 2/7 - 80/7*s**x.
-2*(s + 1)**2*(4*s + 1)**2/7
Let i(s) be the first derivative of s**5/30 + s**4/8 + s**3/6 + s**2/12 - 11. Factor i(r).
r*(r + 1)**3/6
Let j(t) = -t**2 - 1. Let v(g) = g**2 + 3*g - 2. Let q(k) = k - 5. Let l be q(3). Let m(w) = l*j(w) + v(w). What is o in m(o) = 0?
-1, 0
What is p in 1/6*p - 1/6*p**4 + 1/6*p**2 + 0 - 1/6*p**3 = 0?
-1, 0, 1
Let s(m) be the first derivative of m**6/40 + m**5/80 + 6*m - 6. Let j(i) be the first derivative of s(i). Factor j(c).
c**3*(3*c + 1)/4
Suppose -t - 8 = -10. Let -2/9 - 2/3*r - 2/3*r**t - 2/9*r**3 = 0. Calculate r.
-1
Let i(h) be the second derivative of -2/15*h**4 + 0 - 2/105*h**7 - 1/5*h**5 - 4*h - 8/75*h**6 + 0*h**2 + 0*h**3. Factor i(v).
-4*v**2*(v + 1)**2*(v + 2)/5
Let p(j) = -j - 12. Let i be p(-7). Let z = i - -11/2. Find q such that -z*q**3 + 0 - q**2 - 1/2*q = 0.
-1, 0
Let w = -82 + 87. Let o(g) be the third derivative of -1/20*g**6 + 0 + 0*g**3 - g**2 - 1/30*g**w - 1/168*g**8 + 0*g**4 + 0*g - 1/35*g**7. Factor o(r).
-2*r**2*(r + 1)**3
Let g(o) be the first derivative of -o**3/3 + o**2 - 6. Determine y, given that g(y) = 0.
0, 2
Let t(c) be the second derivative of c**7/630 + c**6/360 - c**5/180 - c**4/72 + 7*c**2/2 + 8*c. Let a(b) be the first derivative of t(b). Solve a(p) = 0.
-1, 0, 1
Let h(d) = -d**3 + 7*d**2 + 8*d + 2. Let v be h(8). Factor 0*p**2 - 8*p + 2 - v*p**2 + 3*p**2 + 11*p.
(p + 1)*(p + 2)
Let 6/13*u + 0*u**2 + 4/13 - 2/13*u**3 = 0. Calculate u.
-1, 2
Let b = -3/4 - -1. Determine h, given that -1/4 + 1/4*h**5 + 1/2*h**2 - 1/2*h**3 + 1/4*h - b*h**4 = 0.
-1, 1
Suppose -5*b - 4*p + 3*p = 9, p = 4*b. Let r = b + 3. Let 3 + a + 0 - 2 + a**3 - 2*a - a**r = 0. What is a?
-1, 1
Let v be 2/6 + 35/21. Let 2/3*j + 1/3 + 1/3*j**v = 0. Calculate j.
-1
Let b(u) be the second derivative of 0 - u - u**2 + 0*u**3 + 1/6*u**4. Factor b(f).
2*(f - 1)*(f + 1)
Let v be 1/1 + 20/5. Find q such that 0*q + 2/3*q**v + 0 + 2/3*q**2 + 2*q**4 + 2*q**3 = 0.
-1, 0
Let s(y) = -y**2 + y + 1. Let c be s(0). Let g be (-30)/(-24)*4*c. Solve -4*b**2 + 3*b**2 - b**3 - 3*b - g*b**2 - 1 + 3*b**2 = 0 for b.
-1
Let z(y) be the second derivative of -y**9/1512 - y**8/420 + y**7/140 + y**6/45 - y**5/15 + y**3/2 - y. Let x(m) be the second derivative of z(m). Factor x(j).
-2*j*(j - 1)**2*(j + 2)**2
Let n(j) be the first derivative of j**5/30 + j**4/4 + 2*j**3/3 + 7*j**2/2 + 1. Let d(z) be the second derivative of n(z). Suppose d(i) = 0. Calculate i.
-2, -1
Let k(r) = 6*r**5 - 13*r**4 + 6*r**3 + 2*r**2. Let o(c) = 6*c**5 - 12*c**4 + 6*c**3 + 3*c**2. Let q(i) = -3*k(i) + 2*o(i). Let q(u) = 0. What is u?
0, 1/2, 2
Let o(d) = 5*d**2 + 32*d - 163. Let s(y) = y**2 + y + 1. Let i(l) = o(l) - 6*s(l). Factor i(z).
-(z - 13)**2
Let n = 148/301 + 28/43. Factor 0*o**2 + 0 + n*o**3 + 0*o - 12/7*o**4.
-4*o**3*(3*o - 2)/7
Factor 18/7*b**3 + 4/7*b + 2/7*b**5 - 10/7*b**4 + 0 - 2*b**2.
2*b*(b - 2)*(b - 1)**3/7
Let h(