+ 2 + 0*w + 1/9*w**4. Solve z(u) = 0.
-1, -2/7, 0, 1
Determine p so that 35*p**2 + 2 - 45*p**2 - 5*p**3 - 2 = 0.
-2, 0
Factor 7/5*r - 2/5 - r**2.
-(r - 1)*(5*r - 2)/5
Let f(p) = -p**2 - 5*p + 3. Let h be f(-6). Let z be (-1 + 1)*(4 + h). Factor 3*v**4 + z*v**5 - 4*v**4 + v**2 + v**5 - v**3.
v**2*(v - 1)**2*(v + 1)
Suppose 5*h = c + 7, -c + 5*c = h + 10. Factor 10*p + 2 - 15*p**3 + h + 8*p**2 + 17*p**3.
2*(p + 1)**2*(p + 2)
Let s be (-60)/(-18) + 3*-1. Let b(r) = 2*r. Let o be b(0). Let 1/3*a**3 - s*a - 1/3*a**2 + o + 1/3*a**4 = 0. Calculate a.
-1, 0, 1
Let s = 73 + -71. Let x(k) be the first derivative of 2/3*k**3 - 1/6*k**6 + 1/2*k**s + 0*k + 0*k**4 - 1 - 2/5*k**5. Let x(b) = 0. Calculate b.
-1, 0, 1
Let s(a) be the second derivative of -a**6/168 + 2*a**5/105 - a**4/168 - a**3/21 - 3*a**2/2 - 7*a. Let q(b) be the first derivative of s(b). Factor q(i).
-(i - 1)**2*(5*i + 2)/7
Let n(j) be the second derivative of 1/15*j**3 - 1/30*j**4 + 2/5*j**2 + 0 + 4*j. Let n(m) = 0. Calculate m.
-1, 2
Let g = -20/9 + 26/9. Let d(f) be the first derivative of -8*f - 2 - 4*f**2 - g*f**3. Factor d(h).
-2*(h + 2)**2
Let d = -395 + 398. Determine y so that 1/3*y**d - 1/3 - 1/3*y + 1/3*y**2 = 0.
-1, 1
Factor -2/11*z**2 - 2/11*z + 2/11 + 2/11*z**3.
2*(z - 1)**2*(z + 1)/11
Suppose 40 = w + 4*w. Let v(x) be the third derivative of -1/12*x**4 + 0*x**3 - 1/120*x**6 + 0*x + 0 + 1/12*x**5 + 3*x**2 + 1/112*x**w - 1/42*x**7. Factor v(u).
u*(u - 1)**2*(u + 1)*(3*u - 2)
Factor 0*a - 15/4*a**4 - 9/4*a**3 + 0 + 3/2*a**2.
-3*a**2*(a + 1)*(5*a - 2)/4
Let c be ((-3)/6)/(4/(-32)). Factor -1/4*n**c - 1/2*n + 0*n**2 + 1/4 + 1/2*n**3.
-(n - 1)**3*(n + 1)/4
Let g(p) = p**2 + 9*p + 3. Let o be g(-9). Let u(s) be the first derivative of -o - 1/4*s - 1/16*s**4 + 1/12*s**3 + 1/8*s**2. Determine n, given that u(n) = 0.
-1, 1
Let i(r) be the third derivative of -49*r**6/300 + 112*r**5/75 - 29*r**4/15 + 16*r**3/15 - 14*r**2. Let i(p) = 0. Calculate p.
2/7, 4
Let j = 110 - 110. Suppose 0 + 0*k**2 + 2/9*k**3 + j*k = 0. Calculate k.
0
Let x(l) = -2*l**4 + 3*l**3 + 5*l**2 - 3*l - 3. Suppose -24 = -5*i - 9. Let s(n) = -4*n**4 + 5*n**3 + 9*n**2 - 5*n - 5. Let p(z) = i*s(z) - 5*x(z). Factor p(y).
-2*y**2*(y - 1)*(y + 1)
Let o = 9 + -6. Factor 5*m**3 - 14*m**5 + o*m**4 + 13*m**5 - 4*m**3 + m**2 - 4*m**3.
-m**2*(m - 1)**3
Solve 0 - 8/15*g**2 - 8/15*g + 2/15*g**4 + 2/15*g**3 = 0.
-2, -1, 0, 2
Let z(g) be the second derivative of -g**6/420 + g**4/84 + 3*g**2/2 - 2*g. Let h(b) be the first derivative of z(b). Factor h(u).
-2*u*(u - 1)*(u + 1)/7
Solve 5*v - 5*v + 15*v**2 + 5*v + 5*v**3 + 5*v = 0 for v.
-2, -1, 0
Let w(m) = -36*m**3 + 22*m**2 + 20*m - 6. Let h(o) = -5*o**3 + 3*o**2 + 3*o - 1. Let c(y) = 44*h(y) - 6*w(y). Factor c(u).
-4*(u - 1)**2*(u + 2)
Let y = 3 + 2. Let r(i) = -i + 7. Let p be r(y). Solve 2 + 0 + f**2 + 9*f**p - 9*f = 0 for f.
2/5, 1/2
Let o be (-1)/5*(-25)/10. Let -o + 7/4*j**2 - 5/4*j = 0. Calculate j.
-2/7, 1
Find l, given that -1/5 + 3/5*l + 4/5*l**2 = 0.
-1, 1/4
Let p(k) = k + 4. Let s be p(-2). Let -s*o**3 - 9*o + 10*o + o = 0. Calculate o.
-1, 0, 1
Let w(k) = -k - 13. Let q be w(-12). Let y(i) = i**4 - i**2 - 1. Let f(c) = 2*c**4 + 2*c**3 - c**2 - 1. Let r(b) = q*f(b) + y(b). Factor r(g).
-g**3*(g + 2)
Let h(t) = -16*t**3 - 66*t**2 + 33*t - 5. Let v(s) = -32*s**3 - 131*s**2 + 65*s - 10. Let f(d) = 13*h(d) - 6*v(d). Factor f(j).
-(j + 5)*(4*j - 1)**2
Suppose 6*o = -h + 3*o - 6, 0 = 2*h - o - 2. Factor 1/2*n**2 - 1/2*n + h.
n*(n - 1)/2
Factor 0 - 1/6*y + 0*y**2 + 1/6*y**3.
y*(y - 1)*(y + 1)/6
What is l in 77/3*l**2 + 32/3*l + 49/3*l**3 + 4/3 = 0?
-1, -2/7
Let o(a) = -a**2 - 12*a + 13. Let t be o(-10). Suppose -2*v**2 + 4*v - 2*v**2 - t + 33 = 0. Calculate v.
0, 1
Suppose -5*j = -3*r + 61, -24 = -2*r + 3*j + 16. Suppose 0 = -2*o + 4, -3*q - 5*o - 1 = -r. Factor q*s**3 - 4*s**3 + 7 + 6*s - 3.
-2*(s - 2)*(s + 1)**2
Let l(o) = o**3 + 8*o**2 + 17*o + 32. Let k be l(-6). Factor -6*m + 6*m**3 - 9/5 + 5*m**4 - 16/5*m**k.
(m - 1)*(m + 1)*(5*m + 3)**2/5
Let j = -6/11 + 62/33. Suppose -2/3*i**2 + j + 2/3*i = 0. What is i?
-1, 2
Let i(c) = -c - 7. Let n be i(-8). Suppose a = 5*p + 16 + 8, -3*a - 4*p - 4 = 0. Factor 2*s**3 + a*s**2 + 2*s + 1 - n.
2*s*(s + 1)**2
Let r = 3614/2265 - -2/453. Factor -l**2 - 4/5 + 1/5*l**3 + r*l.
(l - 2)**2*(l - 1)/5
Let w(g) be the first derivative of -g**4/12 - g**3/3 - g**2/2 - g - 1. Let i(k) be the first derivative of w(k). Factor i(s).
-(s + 1)**2
Let j(p) be the third derivative of -1/3*p**3 - 5/24*p**4 + 0*p - 1/120*p**6 - 5*p**2 - 1/15*p**5 + 0. Factor j(c).
-(c + 1)**2*(c + 2)
Let c = -875/12 - -73. Let o(g) be the second derivative of 0 - 1/6*g**3 + c*g**4 + g + 1/4*g**5 + 0*g**2 + 1/10*g**6. Determine f so that o(f) = 0.
-1, 0, 1/3
Let 6/5*v**2 - 8/5*v + 2/5 = 0. Calculate v.
1/3, 1
Let i(c) be the third derivative of c**8/336 - 2*c**7/105 + c**6/20 - c**5/15 + c**4/24 + 29*c**2. Determine w, given that i(w) = 0.
0, 1
Let m(q) be the second derivative of -7*q**6/120 + 9*q**5/80 + 5*q**4/48 - 3*q**3/8 + q**2/4 - 20*q. Let m(r) = 0. Calculate r.
-1, 2/7, 1
Let s = 20 + -20. Let n(r) be the third derivative of -r**2 + 1/120*r**5 + 0*r + s - 1/24*r**3 + 1/240*r**6 - 1/96*r**4 - 1/1344*r**8 - 1/840*r**7. Factor n(t).
-(t - 1)**2*(t + 1)**3/4
Let l(w) be the first derivative of w**5 - 5*w**4 + 5*w**3 + 10*w**2 - 20*w - 27. Determine y, given that l(y) = 0.
-1, 1, 2
Suppose 5 + 0 = k, k = 5*p - 10. Factor -13 + 3*d**2 + d**p + 10 + 3*d - 4*d**3.
-3*(d - 1)**2*(d + 1)
Let l be (16 + -18)*6/(-20). Factor -2/5 - l*r - 1/5*r**2.
-(r + 1)*(r + 2)/5
Let p(g) be the first derivative of -g**6/10 + 2*g**5/5 - 3*g**4/10 - 8*g**3/15 + 9*g**2/10 - 2*g/5 + 11. Determine o so that p(o) = 0.
-1, 1/3, 1, 2
Let y(i) be the first derivative of -i**6/120 + i**2 - 5. Let h(s) be the second derivative of y(s). Factor h(f).
-f**3
Let k(c) be the third derivative of -c**8/26880 - c**7/1680 - c**6/240 + c**5/20 - c**2. Let u(v) be the third derivative of k(v). Factor u(n).
-3*(n + 2)**2/4
Let o(p) = -2*p - 2. Let y be o(-2). Factor 4 - y - 2*j + 0 + j**2 - 1.
(j - 1)**2
What is a in -7/3*a**2 + 2/3*a + 0 + 3*a**3 - 5/3*a**4 + 1/3*a**5 = 0?
0, 1, 2
Let d(y) be the second derivative of -y**7/210 + y**6/15 - 2*y**5/5 + 4*y**4/3 - 8*y**3/3 - 3*y**2/2 + y. Let p(b) be the first derivative of d(b). Factor p(w).
-(w - 2)**4
Let w(n) be the first derivative of -n**3/8 - 15*n**2/16 - 9*n/4 + 48. Factor w(y).
-3*(y + 2)*(y + 3)/8
Let 0*f - 3*f**3 - 3/2*f**5 + 0 + 9/2*f**4 + 0*f**2 = 0. Calculate f.
0, 1, 2
Let s(u) be the first derivative of 1/2*u + 1/6*u**3 + 1/2*u**2 + 1. Factor s(k).
(k + 1)**2/2
Let u(t) be the second derivative of -t**8/3360 + t**7/630 - t**6/360 + t**4/6 + 3*t. Let w(j) be the third derivative of u(j). Find v, given that w(v) = 0.
0, 1
Factor -9*r**3 - 53 - 36*r + 29 + 6*r**3 - 18*r**2.
-3*(r + 2)**3
Let l(i) be the second derivative of -i**7/210 + i**6/50 - i**5/50 + i. Factor l(x).
-x**3*(x - 2)*(x - 1)/5
Let g = -3 + 5. Find b such that -4*b**4 + 6*b**2 - 2*b**2 - g*b**5 - 6*b + 8*b = 0.
-1, 0, 1
Find b such that 3*b**2 + 6*b**3 + 3*b**4 + 63 - 63 = 0.
-1, 0
Let d be 2/11 + 15/220. Let i(u) = -u**2 - 10*u - 14. Let o be i(-8). Factor d*z - 1/4*z**o + 0.
-z*(z - 1)/4
Let 3/2*q**2 + 0 + 3/2*q = 0. What is q?
-1, 0
Suppose 5*z + 3 = 18. Let v(r) be the third derivative of -7/180*r**6 - 1/10*r**5 + 0*r**z + 0 + 0*r - 1/18*r**4 + 2*r**2. Factor v(y).
-2*y*(y + 1)*(7*y + 2)/3
Let j = -4 + 3. Let w(l) = 6*l**3 - l**2 - 2*l. Let a(k) = k**3 - k. Suppose -4*d + 3*d - 3*f = 13, 2*d - 24 = 4*f. Let y(x) = d*a(x) + j*w(x). Factor y(s).
-s**2*(4*s - 1)
Let v = 1/30 - -2/15. Let k(g) be the second derivative of 0*g**2 + 1/10*g**5 + v*g**4 + 0*g**3 + 0 - g. Factor k(z).
2*z**2*(z + 1)
Let r(p) be the first derivative of 3*p**5/35 + 3*p**4/7 + 5*p**3/7 + 3*p**2/7 + 9. Suppose r(u) = 0. What is u?
-2, -1, 0
Let n(v) be the third derivative of 0*v + 0 + 0*v**3 + 11/300*v**5 - 1/60*v**4 - 3/200*v**6 - 3*v**2. Solve n(p) = 0.
0, 2/9, 1
Determine w, given that 32/7 + 12/7*w**3 + 2/7*w**4 - 48/7*w + 2/7*w**2 = 0.
-4, 1
Let q(i) = 11*i**4 - 11*i**3 - 2*i**2 - 7*i - 9. Let l = -14 + 10. Let c(x) = -5*x**4 + 5*x**3 + x**2 + 3*x + 4. Let h(b) = l*q(b) - 9*c(b). Factor h(u).
u*(u - 1)**2