 -1/4*i**2 - 169/4 - 13/2*i.
-(i + 13)**2/4
Let q(z) be the second derivative of 2*z**7/21 + 4*z**6/15 - z**5/5 - 2*z**4/3 - 34*z. Factor q(n).
4*n**2*(n - 1)*(n + 1)*(n + 2)
Let l(a) be the second derivative of -a**4/60 - a**3/15 - a**2/10 + 6*a. Suppose l(m) = 0. Calculate m.
-1
Let u be (-2 + 3)/((-4)/(-12)). Let o(a) be the second derivative of a**2 - 1/3*a**u + a + 0 + 1/24*a**4. Factor o(c).
(c - 2)**2/2
Let y be -3*(-4 - (-531)/135). What is m in 8/5 + y*m**3 - 2/5*m**2 - 4/5*m = 0?
-2, 2
Let d be (-68)/(-12) + (-5 + 1 - -3). Suppose -16*w - 86/3*w**2 - 20*w**3 - d*w**4 - 8/3 = 0. Calculate w.
-2, -1, -2/7
Let y(k) be the first derivative of 2*k**3/21 + 2*k**2/7 + 2*k/7 - 1. Factor y(j).
2*(j + 1)**2/7
Let o = 6 + -5. Let f(g) = 3*g**3 - 2*g + 1. Let l be f(o). Factor 0 - 2/5*m + 7/5*m**l.
m*(7*m - 2)/5
Let k(q) = -2*q - 36. Let z be k(-18). Factor -1/4*m**2 + 1/4*m**4 + 0*m**3 + 0*m + z.
m**2*(m - 1)*(m + 1)/4
Let v be (-2)/(-9) + 22/(-99). Find y, given that -20/7*y**2 + v + 2/7*y + 50/7*y**3 = 0.
0, 1/5
Let b(c) = -6*c**3 + 9*c**2 - 22*c + 27. Let s(m) = -m**3 + m. Let z(l) = b(l) - 5*s(l). Factor z(k).
-(k - 3)**3
Let n(i) = i**3 - 5*i**2 - 4*i - 2. Let p(g) = -6*g**3 + 26*g**2 + 21*g + 11. Let w(r) = -11*n(r) - 2*p(r). Factor w(m).
m*(m + 1)*(m + 2)
Let h(l) be the third derivative of 0*l**7 - l**2 + 0*l**5 + 1/96*l**4 + 0 + 0*l + 0*l**3 + 1/1344*l**8 - 1/240*l**6. Find x such that h(x) = 0.
-1, 0, 1
Let c(r) = -r**3 - r**2 + 1. Let d(j) = 12*j**3 + 22*j**2 + 22*j + 2. Let g(w) = -10*c(w) - d(w). Let g(q) = 0. What is q?
-3, -2, -1
Find z such that 0*z**2 + 2/3*z**4 + 0 - 2*z**3 + 0*z = 0.
0, 3
Determine a, given that -4*a - 5/4*a**3 - 1 + 19/4*a**2 = 0.
-1/5, 2
Let g(a) be the second derivative of -2/21*a**7 - a + 11/30*a**4 + 0 - 2/5*a**2 - 1/10*a**5 - 7/25*a**6 + 1/5*a**3. Determine l, given that g(l) = 0.
-1, 2/5, 1/2
Let a(o) be the first derivative of 0*o - 2/3*o**3 + 2/5*o**2 + 4. Find l, given that a(l) = 0.
0, 2/5
Suppose 5*l + 3 - 16 = -3*h, -4*h + 20 = 4*l. Let g be h/15 + 2 + -2. Find o such that -2/5*o**2 - g + 4/5*o = 0.
1
Let g(u) be the first derivative of 0*u**3 + 0*u - 7/15*u**5 - 1 + 5/18*u**6 + 0*u**2 + 1/6*u**4. Suppose g(j) = 0. What is j?
0, 2/5, 1
Determine q so that 168/11*q - 8/11 - 882/11*q**2 = 0.
2/21
Suppose -3*k - 1 + 4 = -3*o, 0 = -5*o + k - 1. Factor -1/4*a**3 - a**2 + o - a.
-a*(a + 2)**2/4
Let n(j) be the third derivative of -j**8/1344 - 13*j**7/840 - 29*j**6/240 - 53*j**5/120 - 85*j**4/96 - 25*j**3/24 + 43*j**2. Factor n(v).
-(v + 1)**3*(v + 5)**2/4
Let g(a) be the third derivative of a**6/960 + a**5/160 - a**4/192 - a**3/16 + 3*a**2 + 3. Suppose g(c) = 0. What is c?
-3, -1, 1
Let x(b) be the second derivative of 3*b**5/10 - 2*b**4/3 - 5*b**3/3 + 2*b**2 - 12*b. Suppose x(i) = 0. Calculate i.
-1, 1/3, 2
Let v(h) = -h**3 + 3*h**2 - h - 1. Let g(w) be the first derivative of -w**4/4 + w**3/3 - w**2/2 + w + 4. Let p(d) = -g(d) - v(d). Find s, given that p(s) = 0.
0, 1
Let d(w) = -2*w**3 + 2*w**2 - 2. Let u(n) = -n + 1. Let r(v) = v**2 - 2. Let h(x) = r(x) + u(x). Let c(t) = -2*d(t) + 4*h(t). Factor c(p).
4*p*(p - 1)*(p + 1)
Let h(j) be the third derivative of -j**7/840 + j**6/180 + j**5/120 - j**4/12 - j**3/3 + 2*j**2. Let l(u) be the first derivative of h(u). Factor l(t).
-(t - 2)*(t - 1)*(t + 1)
Let z(k) be the first derivative of -k**4/6 + k**3/18 - 11. Factor z(l).
-l**2*(4*l - 1)/6
Suppose -5*v = 5*s, -2*s + 0*s + 5 = -3*v. Let g(k) be the first derivative of s + 2*k + 2*k**2 + 2/3*k**3. Suppose g(c) = 0. Calculate c.
-1
Let p(d) be the second derivative of 2/39*d**3 + 2/65*d**5 + 0*d**2 + 1/195*d**6 + 3*d + 5/78*d**4 + 0. Determine c, given that p(c) = 0.
-2, -1, 0
Let r(y) = -y**2 - 5*y + 3. Let w be r(-12). Let a be 0 - -3*(-6)/w. Solve -4/9*v + 2/3*v**3 + 2/9*v**4 - a*v**5 - 2/9*v**2 + 0 = 0 for v.
-1, 0, 1, 2
Let z(s) = s + 20. Let q(f) = -f - 21. Let o(l) = 4*q(l) + 5*z(l). Let c be o(-12). Solve 68*v**5 - 63*v**c - 6*v**3 + 79*v**5 + 9*v**2 - 21*v**2 - 66*v**3 = 0.
-2/7, 0, 1
Let y(l) be the third derivative of 0*l**4 - 2/5*l**6 + 0*l - 1/5*l**7 + 0*l**3 - 2/15*l**5 + 0 + l**2 + 7/24*l**8. Factor y(t).
2*t**2*(t - 1)*(7*t + 2)**2
Let y(f) be the second derivative of -f**4/4 - 5*f**3 - 75*f**2/2 - 22*f. Let y(s) = 0. Calculate s.
-5
Let m be -1 - -4 - (7 + -10). Suppose m*g - 9 = 3*g. Solve 0*y**g - 1/4*y**4 + 0*y + 1/4*y**2 + 0 = 0.
-1, 0, 1
Let o(k) be the first derivative of k**5/10 - 7*k**4/12 + 7*k**3/6 - k**2 + 2*k + 3. Let w(v) be the first derivative of o(v). Factor w(g).
(g - 2)*(g - 1)*(2*g - 1)
Let m(w) be the third derivative of -w**7/210 - w**6/180 + w**5/60 + w**4/36 - 9*w**2. Factor m(z).
-z*(z - 1)*(z + 1)*(3*z + 2)/3
Let t(f) be the first derivative of f**4/18 - 2*f**3/3 + 3*f**2 - 3*f - 4. Let l(u) be the first derivative of t(u). Solve l(s) = 0 for s.
3
Let k = -17 + 21. Factor -30 + 30 - 4*y**2 + k*y**3.
4*y**2*(y - 1)
Let d be (4 + 0)*6/4. Solve a**5 - a**5 + a - 6*a**4 + 2*a + d*a**2 - 3*a**5 = 0.
-1, 0, 1
Let z(r) be the first derivative of -r**7/168 + r**5/80 - r - 1. Let y(f) be the first derivative of z(f). Determine n, given that y(n) = 0.
-1, 0, 1
Let 0 + 1/2*d**4 - 3/2*d**3 - 1/2*d**2 + 3/2*d = 0. What is d?
-1, 0, 1, 3
Factor -1/6*n**5 + 1/3*n**2 + 0*n**4 + 1/2*n**3 + 0 + 0*n.
-n**2*(n - 2)*(n + 1)**2/6
Let d be 3 - (-4)/(96/(-71)). Let p(q) be the second derivative of 0*q**3 - 1/4*q**2 + d*q**4 + 2*q + 0. Factor p(m).
(m - 1)*(m + 1)/2
Let u(m) = -m**2 + m - 2. Let a(w) = -4 + 3*w**2 - 2*w**2 + 3*w - 3*w**2. Let f(n) = -4*a(n) + 9*u(n). Factor f(q).
-(q + 1)*(q + 2)
Let n(b) = -11*b + 112. Let g be n(10). Factor 0 - 9/4*c**3 - 9/4*c**4 - 3/4*c**5 + 0*c - 3/4*c**g.
-3*c**2*(c + 1)**3/4
Let s be (6 + 0)/(-3) + 7. Factor -g**2 + 3*g**2 + 5 + 2*g**3 - s - 4*g.
2*g*(g - 1)*(g + 2)
Suppose 14*w = 8*w + 12. Let 1/4*p**4 + 1/4*p**5 + 0*p - 1/4*p**3 + 0 - 1/4*p**w = 0. Calculate p.
-1, 0, 1
Let o(r) be the third derivative of r**5/20 - r**3/2 - 7*r**2. Factor o(z).
3*(z - 1)*(z + 1)
Let o = 69 - 64. Let k(n) be the first derivative of n**2 - 9/4*n**4 - 4 + 0*n - 5/3*n**3 + n**o + 7/6*n**6. Find f such that k(f) = 0.
-1, 0, 2/7, 1
Let u(n) be the first derivative of -n**6/15 + n**4/5 - n**2/5 - 6. Factor u(i).
-2*i*(i - 1)**2*(i + 1)**2/5
Let 1/3*k**2 + k + 0 = 0. What is k?
-3, 0
Factor 2*m**4 - 12*m**3 + 0*m**4 + 2*m**3 + 12*m**3.
2*m**3*(m + 1)
Let u(p) be the first derivative of -p**4/12 + p**3/6 + p**2 + 4*p - 4. Let f(h) be the first derivative of u(h). Let f(t) = 0. Calculate t.
-1, 2
Suppose 4*u = 2*u + 6. Find r, given that -2*r**2 + 4 - 4 + 0*r**2 - 2*r**u = 0.
-1, 0
Suppose -w + 4 = 3, -3*w = -5*k + 12. Factor 3*b**2 + 17*b**2 - 6*b - 8*b**k - 2*b.
-4*b*(b - 2)*(2*b - 1)
Suppose 9 + 4*n**5 - 4*n + 10*n**2 - 9*n**4 - 9 - n**4 = 0. What is n?
-1, 0, 1/2, 1, 2
Let t be 12/(6 - 2)*2/3. Let k(o) be the second derivative of 1/80*o**5 - 1/48*o**4 + 0*o**t + 0*o**3 + 0 - 2*o. Factor k(j).
j**2*(j - 1)/4
Let p(l) = l**2 - 10*l. Let d be p(10). Let h(z) be the second derivative of 2*z + 0*z**4 + 1/20*z**5 + 0 + d*z**2 - 1/6*z**3. Factor h(i).
i*(i - 1)*(i + 1)
Suppose 0 = -2*m - d + 9, 0 = 5*m + d + 2*d - 23. Find k such that 6*k + k**5 + 2 + 0*k**3 + k**5 - 4*k**5 + m*k**2 - 4*k**3 - 6*k**4 = 0.
-1, 1
Let b(g) = -3*g - 15. Let a be b(-6). Let f = -74 + 224/3. Find m such that -2/9 - f*m - 2/9*m**a - 2/3*m**2 = 0.
-1
Let x be -3 + 5/10 - 51/(-18). Factor -1/3 + 0*j + x*j**2.
(j - 1)*(j + 1)/3
Let n(j) be the third derivative of j**8/840 - 4*j**7/525 + j**6/300 + j**5/15 - j**4/15 - 8*j**3/15 - 4*j**2. Let n(z) = 0. What is z?
-1, 2
Let x(j) be the second derivative of -j**6/120 - j**5/80 + 7*j. Factor x(l).
-l**3*(l + 1)/4
Factor -7 + 118*t**2 - 113*t**2 + 7 - 40*t.
5*t*(t - 8)
Let l(q) be the first derivative of -3*q**5/5 + 15*q**4/4 - 8*q**3 + 6*q**2 - 9. Factor l(h).
-3*h*(h - 2)**2*(h - 1)
Let v(d) be the third derivative of -2*d**7/105 - d**6/30 - 6*d**2. Factor v(r).
-4*r**3*(r + 1)
Let m = -18 - -8. Let f be m/3*(-6)/5. Factor 5*g - g - 3*g - g**3 - 3*g**4 + f*g**4 - g**2.
g*(g - 1)**2*(g + 1)
Let l(m) be the second derivative of 0 + 1/40*m**5 - 1/12*m**3 - 2*m - 1/4*m**2 + 1/24*m**4. What is c in l(c) = 0?
-1, 1
Let u(n) = -2 + n + 3 + 0*n. Let b be u(1).