1/6
Let w = -141/304 + 10/19. Let p(r) be the first derivative of 0*r**2 - 1/12*r**3 - w*r**4 - 2 + 0*r. Factor p(m).
-m**2*(m + 1)/4
Factor 5/4*s - 1/2 - s**2 + 1/4*s**3.
(s - 2)*(s - 1)**2/4
Let g(d) be the second derivative of -1/27*d**4 + 1/30*d**5 + 0 + 3*d + 0*d**2 - 1/135*d**6 + 0*d**3. Solve g(q) = 0.
0, 1, 2
Let r(n) be the second derivative of -n**6/50 + 3*n**5/100 + n**4/20 - n**3/10 - 6*n. Factor r(h).
-3*h*(h - 1)**2*(h + 1)/5
Let d(u) be the first derivative of u**4/18 + 4*u**3/27 + u**2/9 + 1. What is g in d(g) = 0?
-1, 0
Let m(c) be the second derivative of c**7/273 + 2*c**6/195 + c**5/130 + 18*c. Factor m(l).
2*l**3*(l + 1)**2/13
Let x(m) be the third derivative of -1/180*m**6 + 3*m**2 + 0*m**5 - 1/504*m**8 + 2/315*m**7 + 0 + 0*m**3 + 0*m**4 + 0*m. Factor x(v).
-2*v**3*(v - 1)**2/3
Let n(h) = 3*h**2 - 9*h + 4. Let o be n(7). Let t be 4*((-260)/o - -3). Factor 8/11*d + 8/11 + t*d**2.
2*(d + 2)**2/11
Let l(q) = 10*q**3 + 16*q**2 + 6*q. Let i(s) = 3*s**3 - 4*s + 2*s - 4*s**3 - 2*s**3 - 5*s**2. Let w(o) = 16*i(o) + 5*l(o). Find g such that w(g) = 0.
-1, 0, 1
Let m(o) = -o**2 + 9*o + 5. Let r be m(10). Let d be r/3 + 2 - 0. Let -1/3*x**2 + d*x**4 + 0 + 1/3*x**3 - 1/3*x = 0. What is x?
-1, 0, 1
Let u(c) be the second derivative of 5*c**4/12 - 5*c**3 - 35*c**2/2 - 5*c. Factor u(p).
5*(p - 7)*(p + 1)
Let x(w) be the first derivative of 2*w**5/5 + w**4/2 + w**2 - 2*w - 2. Let p(m) = -3*m**4 - 4*m**3 - m**2 - 5*m + 5. Let l(b) = 2*p(b) + 5*x(b). Factor l(q).
2*q**2*(q + 1)*(2*q - 1)
Let h(l) be the first derivative of -3 + 3/4*l**2 - 3/8*l**4 - 3/2*l + 1/2*l**3. Factor h(j).
-3*(j - 1)**2*(j + 1)/2
Let z = -252 - -112. Let f be 0 - 2 - z/50. Find g such that -2/5*g**2 - 2/5 + f*g = 0.
1
Let y(u) = -9*u**3 - 3*u**2 + 9*u + 9. Let n(a) = -17*a**3 - 6*a**2 + 17*a + 17. Let d(k) = -6*n(k) + 11*y(k). Find t such that d(t) = 0.
-1, 1
Let u(w) be the third derivative of w**7/5880 + 2*w**3/3 - 5*w**2. Let c(z) be the first derivative of u(z). Determine j, given that c(j) = 0.
0
Let p(t) = -t**2 + t - 1. Suppose 0 = -4*j - 5*f + 35, -5*j + 5*f + 7 = -3. Let n(q) = -3*q**2 + 7*q - 5. Let d(y) = j*p(y) - n(y). Factor d(o).
-2*o*(o + 1)
Factor -32*c - 4*c**3 + 20*c - 4*c**2 + 20*c.
-4*c*(c - 1)*(c + 2)
Let z(b) be the first derivative of 0*b + 2/9*b**3 + 0*b**2 + 2/15*b**5 + 1/3*b**4 - 1. Factor z(j).
2*j**2*(j + 1)**2/3
Let i(d) = -45*d**2 + 9*d. Let a(z) = 9*z**2 - 2*z. Let y(n) = 3*n - 6. Let w be y(-6). Let k(l) = w*a(l) - 5*i(l). Let k(g) = 0. Calculate g.
-1/3, 0
Suppose 8*k - 9 = 23. Solve 8/9*c**3 + 4/9*c + 0 - 2/9*c**k - 10/9*c**2 = 0 for c.
0, 1, 2
Let u(t) be the second derivative of t**6/360 - t**5/48 + t**4/36 - 17*t. Factor u(y).
y**2*(y - 4)*(y - 1)/12
Let x be 1*(-3)/15*0. Factor 0 + x*q - 1/4*q**2 - 1/4*q**3.
-q**2*(q + 1)/4
Suppose 2*c + 3*m = 9, 4*c - m = -1 - 2. Factor c + 1/3*s + 1/3*s**2.
s*(s + 1)/3
Let g(o) be the first derivative of o**7/210 - o**6/40 + o**5/20 - o**4/24 + o**2 + 5. Let u(t) be the second derivative of g(t). Find n, given that u(n) = 0.
0, 1
Suppose -5*r = -5*k + 5, 0 = -k - 2*r - r + 5. Find b such that 2/5*b + 2/5*b**3 + 4/5*b**k + 0 = 0.
-1, 0
Let h = 299/2 + -149. Let 7/2*s**2 - s + 0 - 9/2*s**3 + 5/2*s**4 - h*s**5 = 0. Calculate s.
0, 1, 2
Suppose 3*j = 12 + 3. Suppose j*d - 20 = d. Let 0 + 0*n**2 - 2/9*n - 2/9*n**d + 4/9*n**3 + 0*n**4 = 0. Calculate n.
-1, 0, 1
Suppose -8*v + 212 = -4*v. Factor v*s**2 - 5*s**3 - 52*s**2 + 5*s**3 - s**4.
-s**2*(s - 1)*(s + 1)
Let m be -1 + (7 + -3 - -1). What is t in -2*t**m + 0*t**4 + 1 - 1 + 4*t**3 = 0?
0, 2
Let w = 130/423 - 4/47. Factor -2/9*i**2 + 4/9*i - w.
-2*(i - 1)**2/9
Let o(c) be the third derivative of c**6/30 - c**4/2 + 4*c**3/3 + 2*c**2. Factor o(s).
4*(s - 1)**2*(s + 2)
Let h(f) be the second derivative of -1/8*f**2 + 0 + 5/24*f**3 - 6*f - 1/12*f**4. Solve h(z) = 0.
1/4, 1
Let p(l) be the second derivative of l**5/38 - 13*l**4/114 - 2*l**3/19 - 7*l. What is b in p(b) = 0?
-2/5, 0, 3
Let g(u) be the second derivative of u**5/10 - u**4/6 - 2*u**3/3 + 7*u. Suppose g(t) = 0. Calculate t.
-1, 0, 2
Suppose 19*x - 14*x = 10. Let 12/5*w**4 - 3/5 - 33/5*w**3 - 3/5*w + 27/5*w**x = 0. Calculate w.
-1/4, 1
Let u(s) be the second derivative of s**4/66 + s**3/33 + 2*s. Solve u(r) = 0 for r.
-1, 0
Let c = 3 - 3. Suppose 8 = 4*o - c. Let 5*n + n**3 + 2 + 0 - 4*n**o - 4 = 0. What is n?
1, 2
Let g(p) be the second derivative of -1/135*p**6 + 1/27*p**4 + 3*p + 2/189*p**7 - 1/9*p**2 + 0 + 2/27*p**3 - 2/45*p**5. What is q in g(q) = 0?
-1, 1/2, 1
Solve 75/2*v**2 + 6 + 3/2*v**5 + 24*v + 21/2*v**4 + 57/2*v**3 = 0.
-2, -1
Let o(k) be the third derivative of -k**6/780 + 2*k**5/195 - k**4/39 + 58*k**2. Factor o(f).
-2*f*(f - 2)**2/13
Find x such that -x**5 + 7*x**2 - 2*x**4 + x**4 - 7*x**2 = 0.
-1, 0
Let r(w) = -w + 7. Let l be r(6). Suppose a - 1 - l = 0. Suppose 1 + 4*t**2 - 1 - a*t**2 = 0. What is t?
0
Solve 4 - 8*z + 2*z**2 - 13 - 1 = 0 for z.
-1, 5
Factor -4*s + s - 8*s**2 + 7*s**2.
-s*(s + 3)
Factor 2/7*c**5 + 2/7 - 6/7*c + 4/7*c**2 + 4/7*c**3 - 6/7*c**4.
2*(c - 1)**4*(c + 1)/7
Let g = 65861569/237034 + 3/33862. Let d = g + -277. Suppose -d*r + 4/7 + 2/7*r**2 = 0. Calculate r.
1, 2
Let u(j) = 3*j**3 + 12*j**2 + 6*j + 3. Let w(i) = 0*i + 11*i**2 + 3*i**3 - 3 + 9 + 7*i - 3. Let s(l) = -2*u(l) + 3*w(l). Factor s(h).
3*(h + 1)**3
Factor -5/3*v**2 + v + 0 + 1/3*v**3 + 1/3*v**4.
v*(v - 1)**2*(v + 3)/3
Let g(q) be the second derivative of q**5/210 - q**4/84 - 2*q**3/21 + 2*q**2 - 2*q. Let p(x) be the first derivative of g(x). Factor p(n).
2*(n - 2)*(n + 1)/7
Let a(y) be the second derivative of -y**6/120 + 11*y. What is b in a(b) = 0?
0
Let p(l) be the third derivative of l**8/840 + l**7/210 + l**6/180 + l**3/6 + 3*l**2. Let m(i) be the first derivative of p(i). Let m(r) = 0. What is r?
-1, 0
Let c(q) = -q + 4. Let u be c(0). Let 1 + 12*i**2 + i**u - 1 - 13*i**2 = 0. What is i?
-1, 0, 1
Let l(q) be the second derivative of -q**6/180 + q**5/120 + q**4/24 - q**3/36 - q**2/6 - q. Suppose l(b) = 0. Calculate b.
-1, 1, 2
Let o(w) be the third derivative of -w**9/1080 + 3*w**8/1120 - w**7/630 + w**4/12 - 2*w**2. Let r(a) be the second derivative of o(a). Solve r(j) = 0 for j.
0, 2/7, 1
Let c(b) be the first derivative of 3*b**4/4 + 4*b**3 + 15*b**2/2 + 6*b - 3. Factor c(n).
3*(n + 1)**2*(n + 2)
Find v, given that v**3 - 5*v**3 - 4*v**3 + 4*v**3 + 4*v**5 = 0.
-1, 0, 1
Let w(s) = -2*s**2. Let b(a) = a**2. Let h(d) = -8*b(d) - 3*w(d). Factor h(x).
-2*x**2
Suppose -7 - 8 = -3*w. Let t(u) = -3*u**4 + 9*u**3 - 5*u**2 + u - 2. Let i(j) = j**4 - 4*j**3 + 2*j**2 + 1. Let l(a) = w*i(a) + 2*t(a). Factor l(y).
-(y - 1)*(y + 1)**3
Let u be (-3)/5 + 36/10. Let w(o) be the first derivative of -8/21*o**3 + u + 0*o - 1/7*o**2. Factor w(r).
-2*r*(4*r + 1)/7
Let n(p) = 2*p**2 + p. Let c = 17 + -11. Let l(h) = -7*h**2 - 4*h. Let k(d) = c*l(d) + 22*n(d). Determine y, given that k(y) = 0.
0, 1
Let z be (0 + -3)*(-6)/9. What is n in -8/3 + 4*n - z*n**2 + 1/3*n**3 = 0?
2
Let n(i) be the third derivative of -3/8*i**4 + 0 + 7*i**2 - 1/40*i**5 + 0*i - 9/4*i**3. Factor n(d).
-3*(d + 3)**2/2
Suppose 8*l + 0 = 8. What is c in 49*c**4 + 259/4*c**3 + 51/4*c**2 - 4*c - l = 0?
-1, -2/7, 1/4
Determine q so that -75*q**2 - 3*q - 3 - 60*q**4 - 160*q**3 + 48*q + 3 = 0.
-3/2, 0, 1/3
Let u(t) = t + 3*t - 3*t + 1. Let s be u(-1). Find q such that 0*q**4 + s*q + 0 - 2/7*q**2 - 8/7*q**5 + 6/7*q**3 = 0.
-1, 0, 1/2
Let -8/13 - 24/13*r - 10/13*r**2 = 0. Calculate r.
-2, -2/5
Let s(f) be the second derivative of 0 + 1/8*f**4 + 1/40*f**5 + 1/84*f**7 - 6*f + 0*f**2 - 1/20*f**6 - 1/6*f**3. What is q in s(q) = 0?
-1, 0, 1, 2
Factor -13*r - 2*r + 15*r**2 - 35*r**2.
-5*r*(4*r + 3)
Let r(o) be the second derivative of 4*o**4/15 + 14*o**3/15 - 4*o**2/5 - 5*o. Solve r(j) = 0 for j.
-2, 1/4
Suppose 5*o - c - 23 = 0, -6*o + 5*o + 7 = -c. Factor -4/7 + 0*p**2 + 4/7*p**o + 8/7*p**3 - 8/7*p.
4*(p - 1)*(p + 1)**3/7
Let t(h) be the third derivative of -h**8/192 + 19*h**7/840 + 13*h**6/480 - 19*h**5/240 - h**4/16 - 2*h**2 - 7*h. Solve t(s) = 0 for s.
-1, -2/7, 0, 1, 3
Factor -4/5*b**3 + 0*b**2 - 2/5*b**4 + 0*b + 0 + 6/5*b**5.
2*b**3*(b - 1)*(3*b + 2)/5
Let t(p) = p**2 - p + 1. Let f(d) = d**2 + d. Let j(y) = -3*f(y) + 6*t(y). Find l, given that 