**2 + 7/8*r - 1/8*r**3 + 1/2 = 0.
-1, 4
Let n be 0 - (2 - (3 + -2)). Let f = 0 - n. Find p, given that -f + 0*p**2 - p - p + 0 - p**2 = 0.
-1
Let t(c) be the second derivative of c**7/7560 + c**6/540 + c**5/90 + c**4/3 - c. Let h(y) be the third derivative of t(y). Factor h(f).
(f + 2)**2/3
Let c be 5 - ((-9)/(-3) + -3). Suppose 2 = -h + c. Factor 1/3*l + 1/3*l**h + 2/3*l**2 + 0.
l*(l + 1)**2/3
Let h = 29 + -26. Let a(k) be the second derivative of -4*k - 1/6*k**h - 1/6*k**4 + 0*k**2 + 0 + 3/20*k**5. Factor a(l).
l*(l - 1)*(3*l + 1)
Let b = 50/3 + -15. Factor 3*q**3 + 2/3*q - b*q**4 + 1/3*q**5 - 7/3*q**2 + 0.
q*(q - 2)*(q - 1)**3/3
Let o(l) be the first derivative of 0*l + 5/12*l**3 + 3/16*l**4 - 4 + 1/4*l**2. Factor o(z).
z*(z + 1)*(3*z + 2)/4
Let z(s) be the third derivative of -s**7/42 + s**6/6 - s**5/2 + 5*s**4/6 - 5*s**3/6 - 7*s**2. Determine m so that z(m) = 0.
1
Let q(i) = i**4 - 6*i**3 - 2*i - 1. Let w = -2 + 4. Suppose w = -s - 2. Let x(t) = t**4 - 7*t**3 - 3*t - 1. Let l(h) = s*x(h) + 5*q(h). Factor l(p).
(p - 1)**3*(p + 1)
Let g(v) be the first derivative of -v**3/21 - v**2 - 7*v - 8. Factor g(d).
-(d + 7)**2/7
Let l = -6/269 + 640/4573. Let 0 + l*a**2 - 6/17*a = 0. Calculate a.
0, 3
Let p = -23/6 - -1279/330. Let o(i) be the second derivative of 0*i**2 - 1/55*i**5 + 2/33*i**3 - p*i**6 + 2*i + 7/66*i**4 + 0. Find u such that o(u) = 0.
-1, -2/7, 0, 1
Let m = -2 + 4. Suppose -m*k + 10 = -k. Suppose -k*t**3 + 12*t**3 - t**2 - t**2 = 0. Calculate t.
0, 1
Let i(j) be the third derivative of j**6/1080 - j**5/180 + j**4/72 - j**3/3 + 2*j**2. Let a(f) be the first derivative of i(f). Factor a(r).
(r - 1)**2/3
Let g(d) be the third derivative of d**5/150 - d**4/120 - d**3/10 - 3*d**2. Solve g(v) = 0.
-1, 3/2
Factor -3/2*l**3 - 3/2 - 3/4*l + 15/4*l**2.
-3*(l - 2)*(l - 1)*(2*l + 1)/4
Let h = 76 + -74. Determine o, given that 0 + 0*o**h + 0*o + 3/4*o**4 - 3/4*o**3 = 0.
0, 1
Let g(d) be the second derivative of d**5/20 - 7*d**4/60 + d**3/15 - 6*d. Factor g(y).
y*(y - 1)*(5*y - 2)/5
What is y in -y + 2*y**3 - 15*y + 2*y**3 = 0?
-2, 0, 2
Let o be ((-4)/(-27))/((-4)/(-6)). Let x be ((-2)/(-12))/(12/16). Let 2/9*g**4 + o*g + 0 - 2/9*g**3 - x*g**2 = 0. Calculate g.
-1, 0, 1
Let f(r) be the first derivative of 3*r**4/4 + 2*r**3 + 3*r**2/2 - 2. Factor f(t).
3*t*(t + 1)**2
Solve 2/5*a**5 + 0 + 4/5*a**4 + 0*a**3 - 2/5*a - 4/5*a**2 = 0 for a.
-1, 0, 1
Let z be ((0/1)/2)/(-2). Suppose z = 4*u - 7*u + 6. Solve 3*x**u - x**2 - x**2 = 0 for x.
0
Let u(s) be the third derivative of -s**8/84 + 16*s**7/315 - s**6/15 + s**4/18 + 8*s**2. Let u(g) = 0. What is g?
-1/3, 0, 1
Let w(c) be the second derivative of -21*c**4/8 + c**3/3 + c**2 + 9*c + 1. Suppose w(q) = 0. What is q?
-2/9, 2/7
Let o = -35 + 56. Let k be 14/o - 7/(-3). Find w, given that 0*w**2 - 2/9*w + 2/9*w**k + 0 = 0.
-1, 0, 1
Let l(k) be the second derivative of 0 + 1/27*k**3 + 1/54*k**4 + 0*k**2 - 1/135*k**6 + k - 1/90*k**5. Let l(t) = 0. Calculate t.
-1, 0, 1
Let w(k) be the third derivative of -k**7/3780 - k**6/180 - k**5/20 - k**4/4 - k**3/3 - 4*k**2. Let m(l) be the first derivative of w(l). Factor m(n).
-2*(n + 3)**3/9
Let 15*k**2 - 10*k**2 - 8*k + 23*k = 0. Calculate k.
-3, 0
Let r(k) = -3*k**2 + 23*k - 18. Let b(d) = -5*d**2 + 45*d - 35. Let j(a) = 2*b(a) - 5*r(a). Factor j(h).
5*(h - 4)*(h - 1)
Let g(y) = -y**3 - 14*y**2 - 12*y + 16. Let d be g(-13). Suppose 4*i - 4 = 2*i. What is p in -2*p**2 + 2*p**i + p**2 + d*p + 2 = 0?
-2, -1
Let q(v) = v**2 + v - 1. Let b(c) = c**3 - 4*c**2 - 3*c + 3. Let r(n) = -2*b(n) - 6*q(n). Factor r(w).
-2*w**2*(w - 1)
Let p(l) be the second derivative of 3*l**5/20 + 3*l**4/4 - 6*l**2 + 7*l. Factor p(g).
3*(g - 1)*(g + 2)**2
Suppose 0*a = -6*a. Let g(f) be the third derivative of 1/60*f**6 + 1/12*f**4 - f**2 + a*f**3 + 0 + 0*f + 1/15*f**5. Suppose g(p) = 0. Calculate p.
-1, 0
Suppose -2*w + 1 = -3. Suppose w*d + 3 = 3*d. Factor 6*b**d - b**3 - 2*b**2 + 5*b**4 - 2*b**3.
b**2*(b + 1)*(5*b - 2)
Factor -1/2*u**2 + 2*u - 2.
-(u - 2)**2/2
Let y(a) = -5*a**4 + 5*a**3 - 9*a**2 - 5*a + 8. Let n(f) = 26*f**4 - 24*f**3 + 46*f**2 + 24*f - 40. Let h(u) = -3*n(u) - 16*y(u). Factor h(r).
2*(r - 2)**2*(r - 1)*(r + 1)
Let w(a) be the second derivative of -a**4/48 - a**3/12 + 4*a. Determine x, given that w(x) = 0.
-2, 0
What is z in 10*z**3 + z**3 - 8*z + 4*z + 8*z**2 + 3*z**4 = 0?
-2, 0, 1/3
Let m(r) be the third derivative of 7/30*r**6 + 2*r**2 - 7/135*r**7 + 0 - 109/270*r**5 + 0*r + 1/3*r**4 - 4/27*r**3. Factor m(j).
-2*(j - 1)**2*(7*j - 2)**2/9
Let o = -25 + 25. Let m(f) be the third derivative of 1/36*f**4 + 0*f + 0*f**3 + 3*f**2 - 1/90*f**5 + o. Let m(j) = 0. Calculate j.
0, 1
Let m(i) = 7*i**2 - 9*i. Let j(t) = t. Let z(n) = -4*j(n) - m(n). Let s(c) = c**2 + c - 1. Let h(o) = 2*s(o) + z(o). Let h(p) = 0. Calculate p.
2/5, 1
Let t(h) = -3*h**2 - 2*h - 1. Let p(q) = -10*q**2 - 7*q - 4. Let b(y) = 4*p(y) - 14*t(y). Factor b(j).
2*(j - 1)*(j + 1)
Let q(b) be the second derivative of 0 + 0*b**6 - 1/14*b**7 + 0*b**5 - 4*b + 0*b**3 + 0*b**2 + 0*b**4. Factor q(l).
-3*l**5
Let j be ((-8)/(-110))/((-78)/(-357)). Let a = 2/65 + j. Suppose -6/11*w**2 + a*w + 2/11*w**3 + 0 = 0. Calculate w.
0, 1, 2
Let w(y) be the first derivative of 1/12*y**4 + 1/120*y**5 - 3 + 1/3*y**3 + 0*y - y**2. Let a(b) be the second derivative of w(b). Factor a(x).
(x + 2)**2/2
Let r(c) be the second derivative of c**8/1176 - c**6/210 + c**4/84 + 7*c**2/2 + 6*c. Let z(a) be the first derivative of r(a). Determine k so that z(k) = 0.
-1, 0, 1
Factor -53*s**2 + 2 + 1 + 47*s**2 - 44*s - 17.
-2*(s + 7)*(3*s + 1)
Let y(c) = -15*c**2 + 15*c + 21. Let f(a) = 7*a**2 - 7*a - 10. Suppose 5*t = 8 + 37. Let v(k) = t*f(k) + 4*y(k). Factor v(r).
3*(r - 2)*(r + 1)
Let a(d) = -5*d + 28. Let m be a(5). Let v(l) be the second derivative of 0 - 8/7*l**2 + 3*l + 1/70*l**5 + 4/7*l**m - 1/7*l**4. Suppose v(w) = 0. Calculate w.
2
Let v(f) be the first derivative of f**4/4 + 4*f**3/3 + 2*f**2 - 4. Let q(d) = -d**2 - d + 1. Let c(k) = q(k) + v(k). Suppose c(h) = 0. Calculate h.
-1
Suppose -g - 8 = -2*d, -3*g - 9 = -3*d - 0*g. Let o(u) be the third derivative of 1/6*u**3 + 0 + u**2 - 1/40*u**d + 0*u + 1/48*u**4. Factor o(p).
-(p - 1)*(3*p + 2)/2
Let p(s) be the second derivative of s**8/2520 - s**7/1260 - s**6/540 + s**5/180 - 2*s**3/3 - 4*s. Let w(v) be the second derivative of p(v). Factor w(f).
2*f*(f - 1)**2*(f + 1)/3
Let x(a) be the third derivative of -a**8/112 + 2*a**7/105 - a**6/120 + 28*a**2. Let x(u) = 0. Calculate u.
0, 1/3, 1
Let d(k) = 13*k**3 + 14*k**2 + 17*k + 9. Let p(z) = -7*z**3 - 7*z**2 - 9*z - 5. Let b(x) = -4*d(x) - 7*p(x). Factor b(l).
-(l + 1)**2*(3*l + 1)
Let s(r) be the third derivative of r**6/480 - r**5/60 + 44*r**2. Factor s(i).
i**2*(i - 4)/4
Let w(n) be the third derivative of n**5/20 - n**4/12 - n**3/6 - 6*n**2. Determine j so that w(j) = 0.
-1/3, 1
Let k(u) be the first derivative of -4/21*u**3 + 1/7*u**2 - 1 + 0*u + 1/14*u**4. Find j such that k(j) = 0.
0, 1
Let n(d) = d**3 + 3*d**2 + 2*d + 3. Let y be n(-2). Let l(b) be the first derivative of -1/12*b**4 + 1/9*b**y + 0*b**2 + 0*b + 1. Factor l(o).
-o**2*(o - 1)/3
Suppose 29*k = 31*k. Let 2/5*l**2 + 2/5*l**3 - 2/5*l**5 + k*l + 0 - 2/5*l**4 = 0. What is l?
-1, 0, 1
Let c(o) be the first derivative of -2*o**5/55 + 3*o**4/11 - 26*o**3/33 + 12*o**2/11 - 8*o/11 - 22. Factor c(n).
-2*(n - 2)**2*(n - 1)**2/11
Determine r, given that -116*r**2 + 8 - 64*r**4 + 16*r**3 + 91*r**2 + 28*r**5 - 44*r + 81*r**2 = 0.
-1, 2/7, 1
Factor -10/7*a + 12/7*a**2 - 2/7.
2*(a - 1)*(6*a + 1)/7
Let l(n) = 2*n**4 + 11*n**3 + 6*n**2 + 2*n - 5. Let z(k) = k**4 + 5*k**3 + 3*k**2 + k - 2. Suppose 0 = 3*p - 0 + 30. Let q(c) = p*z(c) + 4*l(c). Factor q(t).
-2*t*(t + 1)**3
Let z(t) = -2*t**2 + 4*t + 1. Let l = -6 - -14. Let m(k) = -5*k**2 + 12*k + 4. Let h(s) = l*z(s) - 3*m(s). Find j such that h(j) = 0.
-2
Let z(b) be the second derivative of -b**6/15 - 3*b**5/20 + b**4/12 + b**3/2 + b**2/2 + 24*b + 2. Factor z(s).
-(s - 1)*(s + 1)**2*(2*s + 1)
Let l(y) be the third derivative of -1/8*y**4 + 0 + 0*y - 4*y**2 - 1/120*y**6 + 1/20*y**5 + 1/6*y**3. Determine w so that l(w) = 0.
1
Let k(z) be the second derivative of -z**7/945 + 7*z**6/1620 - z**5/270 - z**4/108 + z**3/6 - 2*z. Let w(m) be th