o**5.
o*(o - 1)**2*(o + 1)*(3*o + 1)
Determine l so that -87 - 15*l + 37 - 3*l**3 + 44 - 12*l**2 = 0.
-2, -1
Let q(c) = 4*c**4 - 10*c**3 + 13*c**2 + 7*c - 7. Let i(k) = -k**4 + 3*k**3 - 4*k**2 - 2*k + 2. Let m(h) = -7*i(h) - 2*q(h). Factor m(x).
-x**2*(x - 1)*(x + 2)
Let u be (-6)/210 - 3/(-7). Factor -u*g**5 + 2/5 - 2*g + 4*g**2 - 4*g**3 + 2*g**4.
-2*(g - 1)**5/5
Let d(g) be the second derivative of -g**6/60 - g**5/20 + 6*g. Factor d(p).
-p**3*(p + 2)/2
Let x = 7/6 - 7/12. Let m(a) be the first derivative of 2 + 5/6*a**2 + 2/15*a**5 + 1/3*a + x*a**4 + a**3. Suppose m(d) = 0. What is d?
-1, -1/2
Let y(g) = -g**3 + 5*g**2 + 4*g + 12. Let v be y(6). Solve 0*n**3 + 0*n**2 + 0*n - 5/3*n**5 + v - 2/3*n**4 = 0.
-2/5, 0
Let a(v) be the third derivative of v**7/2940 + v**6/315 + v**5/105 - v**3/6 + 4*v**2. Let u(k) be the first derivative of a(k). Factor u(d).
2*d*(d + 2)**2/7
Suppose 2*u - 8 = 0, -2*n + 0*u + 3*u = 18. Let k be (0 + 1)*(-1 - n). Let -9 + k*b + 3*b**2 + 9 = 0. Calculate b.
-2/3, 0
Let v(p) = -p**2 - 5*p - 3. Let t be v(-4). Let g(f) be the first derivative of -1/16*f**4 - t + 0*f + 0*f**3 + 1/8*f**2. Factor g(z).
-z*(z - 1)*(z + 1)/4
Let o = -11/4 + 13/4. Determine c, given that 0 - o*c**2 + c = 0.
0, 2
What is t in 0 - 2/9*t - 4/9*t**2 + 4/9*t**4 + 0*t**3 + 2/9*t**5 = 0?
-1, 0, 1
Factor 3*w**2 - 7*w + 3*w**2 - 4*w**2 - w.
2*w*(w - 4)
Suppose -3*m + 4*j = -2 - 4, 2*m - 4 = -5*j. Factor -h**4 - h**m + h**3 - 2*h**2 + 4*h**2 - h.
-h*(h - 1)**2*(h + 1)
Let z = -86 + 86. Let a be (5/(-4))/(-5)*1. Factor -1/4*r**3 + a*r**2 + 0*r + z.
-r**2*(r - 1)/4
Suppose 1/10*w**2 + 11/10*w + 1 = 0. What is w?
-10, -1
Let z(l) = -6*l**3 - 4*l**2 + 11*l. Let d(c) = c**3 - c**2 - c. Let y(o) = d(o) + z(o). Solve y(m) = 0.
-2, 0, 1
Suppose 0*q = q - 2. Find w, given that -4*w**4 - 1/4 - 1/4*w**q + 3/2*w - 6*w**3 = 0.
-1, 1/4
Let y(u) be the first derivative of u**3/9 + 5*u**2/6 - 43. Solve y(k) = 0.
-5, 0
Factor 0 + r**2 + r + 1/4*r**3.
r*(r + 2)**2/4
Let u be (25/(-15))/((-15)/18). Let a(v) be the first derivative of 0*v + 3 + v**3 + 3/2*v**u. Solve a(m) = 0 for m.
-1, 0
Let f(y) = -y**2 + 10*y - 10. Let z be f(-9). Let d = -1257/7 - z. Solve -8/7*x**2 - d*x - 2/7*x**3 - 4/7 = 0 for x.
-2, -1
Factor 2/7*m**2 - 4/7 + 2/7*m.
2*(m - 1)*(m + 2)/7
Let s(x) be the second derivative of -x**5/5 + x**4/3 + 4*x**3 + 19*x. Let s(u) = 0. Calculate u.
-2, 0, 3
Let m(y) be the first derivative of 4 - 1/18*y**5 + 0*y + y**2 - 13/36*y**4 + 2/3*y**3. Let a(q) be the second derivative of m(q). Find b, given that a(b) = 0.
-3, 2/5
Factor -3/7*x**5 - 48/7*x - 75/7*x**2 - 3*x**4 - 12/7 - 57/7*x**3.
-3*(x + 1)**3*(x + 2)**2/7
Factor 14*z**2 - z**2 + 3*z**3 - 9*z**2 + z**3.
4*z**2*(z + 1)
Suppose 3*a + 0*a = 0. Factor 2/9*r - 2/9*r**2 + a.
-2*r*(r - 1)/9
Let m(v) = -v**4 - v**3 - 2*v**2 - 5*v + 3. Let y(n) = -2*n**2 - 4*n + 2. Let w(g) = 4*m(g) - 6*y(g). Factor w(s).
-4*s*(s - 1)*(s + 1)**2
Let z be (190/(-25) - -4) + 4. Factor 4/5 + z*r - 2/5*r**2.
-2*(r - 2)*(r + 1)/5
Let g(y) be the first derivative of -4*y**4 + 2*y**2 + 4. Solve g(i) = 0.
-1/2, 0, 1/2
Let u be (-77)/88*(-4)/14. Find v such that 3/2*v**2 + 9/4*v**3 + 0 + v**4 + u*v = 0.
-1, -1/4, 0
Let l(i) = -19*i**2 + 19*i + 13. Let y(z) = 3*z**2 - 4 - 9*z + 7*z**2 - 3. Let v(o) = -6*l(o) - 10*y(o). Find n such that v(n) = 0.
-2/7, 2
Let j(r) be the first derivative of -r**6/160 + r**5/80 + r**4/32 - r**3/8 - 3*r**2/2 + 2. Let g(u) be the second derivative of j(u). Factor g(y).
-3*(y - 1)**2*(y + 1)/4
Let n(g) = -8*g**3 - 272*g**2 - 252*g - 12. Let r(a) = -3*a**3 - 109*a**2 - 101*a - 5. Let q(l) = 5*n(l) - 12*r(l). Determine c, given that q(c) = 0.
-12, -1, 0
Let z(l) = -1 + 5*l**2 + 9*l**2 + 9*l**2 + 20*l**3 + 9*l**2. Let u(o) = 7*o**3 + 11*o**2. Let w(t) = -11*u(t) + 4*z(t). Solve w(i) = 0.
-2, -1, 2/3
Suppose -4*a + a + 6 = 0. Let r(p) be the first derivative of 0*p - 1/2*p**2 - 3/4*p**4 - 1/5*p**5 - a - p**3. Factor r(y).
-y*(y + 1)**3
Let h(c) be the third derivative of 1/8*c**4 + 0 + 0*c + 0*c**3 + 1/10*c**5 + c**2. Let h(u) = 0. What is u?
-1/2, 0
Let x(g) be the first derivative of -g**6/3 - 4*g**5 - 15*g**4 - 80*g**3/3 - 25*g**2 - 12*g - 22. Suppose x(p) = 0. Calculate p.
-6, -1
Let p(d) be the second derivative of -d**6/180 + d**5/24 - d**4/9 + d**3/9 + 28*d. Factor p(x).
-x*(x - 2)**2*(x - 1)/6
Let f(a) = -a**3 + 1. Let b be f(1). Let z be 22/(-55) - (-24)/10. Determine j so that -1/3*j**3 + b + 0*j**z + 1/3*j = 0.
-1, 0, 1
Let q(g) be the second derivative of -g**5/100 + g**4/60 + g**3/30 - g**2/10 + 11*g. Find x, given that q(x) = 0.
-1, 1
Let a(i) be the third derivative of -1/360*i**6 - 1/30*i**5 - 1/6*i**4 + 0 - 4/9*i**3 - 2*i**2 + 0*i. Factor a(n).
-(n + 2)**3/3
Let b(p) = -35*p**3 - 73*p**2 - 19*p + 24. Let y(s) = -18*s**3 - 36*s**2 - 9*s + 12. Let j = -25 + 28. Let r(k) = j*b(k) - 5*y(k). Find h such that r(h) = 0.
-2, -1, 2/5
Let a(j) be the second derivative of -3*j + 0*j**2 + 1/30*j**4 + 0 - 1/15*j**3. What is d in a(d) = 0?
0, 1
Suppose 3*d - 1 = s, -s - 4 + 5 = -2*d. Factor -3/4*r + 1/4 - 3/4*r**4 + 1/2*r**d + 1/2*r**3 + 1/4*r**5.
(r - 1)**4*(r + 1)/4
Let r(c) be the first derivative of 5*c**6/6 - 4*c**5 + 5*c**4 + 10*c**3/3 - 25*c**2/2 + 10*c + 22. Suppose r(v) = 0. What is v?
-1, 1, 2
Let b(z) be the third derivative of -z**5/180 - z**4/36 + 12*z**2. Factor b(s).
-s*(s + 2)/3
Let r(u) = -17*u**3 - 11*u**2 + 23*u - 9. Let b(k) = -8*k**3 - 5*k**2 + 11*k - 4. Let p(t) = -13*b(t) + 6*r(t). Solve p(y) = 0.
-1, -1/2, 2
Let l(d) be the second derivative of 0 + 0*d**2 - d - 1/36*d**4 - 1/9*d**3. Factor l(r).
-r*(r + 2)/3
Let r(p) be the third derivative of -3*p**2 + 1/24*p**4 - 1/30*p**5 + 0*p**3 + 0*p + 0 + 1/120*p**6. Let r(w) = 0. Calculate w.
0, 1
Let v(c) = -c**3 + 10*c**2 - 8*c - 9. Suppose 0*z - 3*z = 4*o - 27, 4*o + z = 33. Let r be v(o). Factor h + r*h**2 - 1/2*h**4 + 1/2 - h**3.
-(h - 1)*(h + 1)**3/2
Let t(b) be the second derivative of -b**6/150 + b**4/20 + b**3/15 + 32*b. Solve t(q) = 0.
-1, 0, 2
Let o(f) = 50*f**3 - f**2 + 1. Let n be o(-1). Let v be 1/(-4) + n/(-8). Factor -6 + 2*i + v + i**2.
i*(i + 2)
Let v(x) = -2*x**5 - 4*x**3 + 10*x**2 - 3*x - 1. Let l(q) = -3*q**5 - q**4 - 7*q**3 + 19*q**2 - 5*q - 3. Let h(f) = -3*l(f) + 5*v(f). What is w in h(w) = 0?
-1, 1, 2
Suppose 0 = -2*w + 5*w. Suppose w = -5*d - d + 12. What is t in 0*t - 2/5 + 2/5*t**d = 0?
-1, 1
Let b = -6281/7 + 899. Find s, given that -b*s**2 + 9/7*s + 3/7 = 0.
-1/4, 1
Let w(u) = 5*u**5 + 2*u**4 + u**3 + 4*u**2 - 6*u - 6. Let j(g) = 6*g**5 + 2*g**4 + g**3 + 5*g**2 - 7*g - 7. Let x(v) = -6*j(v) + 7*w(v). Factor x(h).
-h**2*(h - 2)*(h - 1)*(h + 1)
Let g(w) be the first derivative of 5*w**4/4 + 5*w**3/3 - 5*w**2 + 8. Let g(l) = 0. Calculate l.
-2, 0, 1
Let x be 0 + (-6)/(-3) - 5. Let t(o) = o**4 - o**3 - o**2 - 1. Let h(w) = -6*w**4 + 8*w**3 + 2*w**2 + w + 5. Let n(v) = x*h(v) - 15*t(v). Factor n(r).
3*r*(r - 1)**3
Suppose 5*f - 73 = 4*t, -4*f - 3*t + 42 = -35. Let d = f - 17. What is y in 0 + 4/3*y**2 + d*y - 22/3*y**3 - 14/3*y**5 + 32/3*y**4 = 0?
0, 2/7, 1
Let a(u) be the second derivative of -5*u**4/12 - 10*u**3 - 90*u**2 - 8*u. Find m such that a(m) = 0.
-6
Let y be (-2)/6*(0 - -3)/(-3). Factor y*b**2 + 1/3*b - 2/3.
(b - 1)*(b + 2)/3
Let m(v) be the first derivative of -4*v**3/3 + 2*v**2 + 8*v + 10. Factor m(r).
-4*(r - 2)*(r + 1)
Let z(v) = 8*v - 13 - 3*v**2 + 23 + 4*v**2. Let w be z(-7). Determine u so that -2/9*u**w - 2/9*u - 4/9*u**2 + 0 = 0.
-1, 0
Factor -1/5*d**2 + 0*d + 0.
-d**2/5
Let y(g) be the second derivative of 0*g**4 + 1/180*g**5 - 1/3*g**3 + 1/1080*g**6 + 0 + 0*g**2 - g. Let h(w) be the second derivative of y(w). Factor h(x).
x*(x + 2)/3
Suppose a + 4*s = 6*s + 1, 4*s - 1 = 5*a. Let j = -1 - a. Factor 1/2*u**2 + j + 1/2*u.
u*(u + 1)/2
Let r = -199 - -199. Factor r*g**4 - 8/7*g**3 + 2/7*g**5 + 4/7 + 6/7*g - 4/7*g**2.
2*(g - 2)*(g - 1)*(g + 1)**3/7
Suppose 4*g + 2*n - 168 = 0, 0 = -3*n + 8*n - 10. Suppose 6*d - 16*d**2 - 4 + 6*d**2 + 55*d**4 - g*d**4 + 12*d - 18*d**3 = 0. What is d?
-1, 2/7, 1
Let i be (141/611)/(3/2). Factor -2/13 + 2/13*g**2 - 2/13*g + i*g**3.
2*(g - 1)*(g + 1)**2/13
Suppose -5*p - 6 = -1. Let o(w) = w**2 + 2*w + 1. Let x be o(p). What is s in -1/4*s**3 + x*s + 1/4*s**2 + 0 = 0?
0, 1
Let