= 0.
-3
Let i(c) be the second derivative of -c**5 + 26*c**4/3 - 70*c**3/3 + 12*c**2 - 13*c - 2. Factor i(w).
-4*(w - 3)*(w - 2)*(5*w - 1)
Factor 2/3*x**5 + 32/3*x**3 + 32/3 - 16/3*x**2 - 32/3*x - 14/3*x**4.
2*(x - 2)**4*(x + 1)/3
Let w(y) = -15*y**4 + 39*y**3 - 45*y**2 + 42*y - 3. Let s(d) = -7*d**4 + 19*d**3 - 23*d**2 + 21*d - 2. Let l(n) = 9*s(n) - 4*w(n). Find a, given that l(a) = 0.
1, 2
Factor -2*k**3 + 6*k**5 + 10*k**3 + 3*k**4 - 18*k**5 + 17*k**4.
-4*k**3*(k - 2)*(3*k + 1)
Let k be (-3)/(-4) - 15/20. Suppose k = 5*n + 2 - 17. Find f, given that f**2 + 2 + 6*f**3 - 3*f - f**2 - 2*f**2 - n*f**3 = 0.
-1, 2/3, 1
Let c(o) = -7*o**3 + o**2 - 4. Let n(f) = -6*f**3 - 3. Let w(i) = -3*c(i) + 4*n(i). Factor w(x).
-3*x**2*(x + 1)
Solve -2*v**2 + 7*v**3 - 7*v**3 + 2*v**4 = 0 for v.
-1, 0, 1
Let c(o) = -4*o - 19. Let r be c(-6). Let 0 - 1/4*z + 1/2*z**3 + 0*z**2 - 1/4*z**r + 0*z**4 = 0. Calculate z.
-1, 0, 1
Let b = 18 - 33/2. Let g(w) be the second derivative of -3/4*w**4 - 3/2*w**2 + 0 + 3*w + b*w**3 + 3/20*w**5. Find a such that g(a) = 0.
1
Let q(b) = 6*b**3 - 7*b**2 + 5*b - 4. Let i(v) = 11*v**3 - 13*v**2 - 4*v - 3 - 4 + 13*v. Let d(u) = -4*i(u) + 7*q(u). Factor d(m).
-m*(m - 1)*(2*m - 1)
Let g(r) be the second derivative of 2*r**5/45 - r**3/27 - 5*r. Suppose g(a) = 0. Calculate a.
-1/2, 0, 1/2
Let j(k) be the first derivative of -k**4/2 + 2*k**3/3 - 2. Factor j(w).
-2*w**2*(w - 1)
Let c(d) be the first derivative of d**3/27 - d/9 - 13. Solve c(f) = 0.
-1, 1
Factor -2/9*s + 0 + 4/9*s**2 - 4/9*s**4 + 0*s**3 + 2/9*s**5.
2*s*(s - 1)**3*(s + 1)/9
Suppose -21 = -4*m + 11. Let c = 12 - m. Suppose -1/4*f**c + 0*f**2 - 1/4*f**3 + 0 + 0*f = 0. Calculate f.
-1, 0
Let -1/2*s**2 + 3*s - 9/2 = 0. Calculate s.
3
Let s(y) be the third derivative of y**6/360 + y**5/36 + 7*y**4/72 + y**3/6 - 18*y**2. Find f such that s(f) = 0.
-3, -1
What is u in 12/7*u**2 + 32/7*u + 16/7 = 0?
-2, -2/3
Let u(m) be the second derivative of 0 + 3*m - 7/40*m**5 + 1/4*m**2 - 11/48*m**4 + 5/24*m**3. Let u(g) = 0. What is g?
-1, -2/7, 1/2
Let l be 12/(-114) + (-125)/(-285). Determine m so that 0*m + 1/3*m**4 + 0 + l*m**2 - 2/3*m**3 = 0.
0, 1
Let k = 6 - 2. Factor i**2 - 4*i**2 - i + i**3 + 3*i**4 - 4*i**4 - k*i**3.
-i*(i + 1)**3
Let n be (-5*8/(-220))/1. Solve -2/11*b**2 + 2/11*b**4 + 2/11*b - n*b**3 + 0 = 0.
-1, 0, 1
Let g be (-6)/2 - (-15)/3. Let m = 3 + g. Find y, given that 1/2*y**m + 2*y**2 + 3*y**3 + 1/2*y + 2*y**4 + 0 = 0.
-1, 0
Let q(m) = 6*m**5 - 35*m**4 + 42*m**3 - 23*m**2 - 5*m. Let i(b) = 9*b**5 - 53*b**4 + 63*b**3 - 35*b**2 - 8*b. Let h(t) = 5*i(t) - 8*q(t). Factor h(n).
-3*n**2*(n - 3)*(n - 1)**2
Let n(z) = -z**3 - z**2 - 6. Let w be (34/(-10) - -3)*-15. Let t(f) = -1. Let q(b) = w*t(b) - n(b). Factor q(m).
m**2*(m + 1)
Let j(y) = -y**5 + y**4 - y**3 - y**2 + y. Let n(d) = -10*d**5 - 4*d**4 + 10*d**2 - 2*d. Let w(z) = -6*j(z) + n(z). Find v, given that w(v) = 0.
-2, 0, 1/2, 1
Factor 3/4*s + 3/2*s**2 + 3/4*s**3 + 0.
3*s*(s + 1)**2/4
Let j(d) be the third derivative of -d**5/540 - 7*d**4/108 - 49*d**3/54 - 10*d**2. Determine x so that j(x) = 0.
-7
Suppose 12 = -5*a - 2*v - v, -a = -5*v - 20. Let d(i) be the third derivative of 0*i**4 + i**2 + a*i**3 + 0 + 1/210*i**5 + 0*i. Factor d(z).
2*z**2/7
Suppose -37 = -w + o, 73 - 7 = 2*w + 2*o. Let x be (-1)/(-4) + w/84. Factor -x*v**3 - 7/3*v**4 + 2/3*v + 7/3*v**2 + 0.
-v*(v - 1)*(v + 1)*(7*v + 2)/3
Suppose -4*y = -5*c + 28, -3*c = 2*c - 2*y - 24. Let -2*g**2 + 5/4*g**3 - 1/4*g**c + g + 0 = 0. What is g?
0, 1, 2
Let c(j) be the first derivative of 1/6*j**4 + 0*j**2 + 1/6*j**3 + 3 + 1/20*j**5 + 4*j. Let g(w) be the first derivative of c(w). Factor g(y).
y*(y + 1)**2
Let s(c) be the third derivative of 0*c**4 - 6*c**2 - 1/30*c**5 + 0 + 0*c - 1/15*c**6 + 0*c**3 - 1/35*c**7. Suppose s(f) = 0. Calculate f.
-1, -1/3, 0
Suppose -5*f - 3*n = -25, 0*f + 3*f + 4 = 2*n. Let h(o) be the first derivative of -1/6*o**3 - 3 + 0*o**f + 1/2*o. Suppose h(v) = 0. What is v?
-1, 1
Let a(f) be the second derivative of 3*f**4/16 + 7*f**3/8 - 9*f**2/4 - 23*f. Factor a(q).
3*(q + 3)*(3*q - 2)/4
Let t(s) be the third derivative of -s**5/600 + 3*s**3/20 - 2*s**2 + 17. Factor t(l).
-(l - 3)*(l + 3)/10
Let i be -1 - 24/(-10) - 1. Let d = -30 + 32. Factor -i*z + 0*z**4 + 4/5*z**3 + 0 + 0*z**d - 2/5*z**5.
-2*z*(z - 1)**2*(z + 1)**2/5
Let x(r) = -r. Let t(i) = i**2 - 2*i - 6. Let u(y) = -t(y) - 3*x(y). Factor u(g).
-(g - 6)*(g + 1)
Let t(c) = -14*c**2 + 6*c + 8. Let q = -13 - -17. Let o(d) = 14*d**2 - 7*d - 7. Let m(x) = q*o(x) + 3*t(x). Factor m(w).
2*(w - 1)*(7*w + 2)
Let s(w) be the first derivative of -w**5/40 - w**4/8 - w**3/4 - w**2/4 + 6*w + 7. Let j(p) be the first derivative of s(p). Factor j(q).
-(q + 1)**3/2
Let y(s) = -s**2 + s + 1. Let t be 0/(0 + -1) - 2. Let f(r) = -r**3 - r**2 + 4*r - 1. Let c(a) = t*y(a) + 2*f(a). Factor c(l).
-2*(l - 1)**2*(l + 2)
Let v = 0 + 5. Let a be (1 - v)/(-3 + 1). Factor -2/7*c**a + 0 + 4/7*c.
-2*c*(c - 2)/7
Factor -2/9*i**3 + 4/9*i**2 - 2/9*i + 0.
-2*i*(i - 1)**2/9
Determine t so that -1/5*t**2 - 3/5*t + 3/5*t**3 + 2/5 - 1/5*t**4 = 0.
-1, 1, 2
Suppose 2*t = -4*v + 11 + 11, 2*t = 4*v - 10. Let l = 8/279 + 6/31. Determine u, given that 0 + l*u**t - 2/9*u - 2/9*u**4 + 2/9*u**2 = 0.
-1, 0, 1
Let t(v) be the second derivative of -3*v**5/5 + 9*v**4/4 - v**3 - 13*v. Solve t(j) = 0.
0, 1/4, 2
Let y(l) be the third derivative of l**8/1680 - l**7/1050 - l**6/600 + l**5/300 + 2*l**2. Factor y(w).
w**2*(w - 1)**2*(w + 1)/5
Let q = 9 - 4. Suppose 5*o**2 + 2*o**q + 4 + 4*o**3 - 6*o**4 + 2*o**2 - 6*o - 3*o**2 - 2 = 0. What is o?
-1, 1
Factor 1/3*v**5 + 4/3*v - v**2 + v**4 + 0 - 5/3*v**3.
v*(v - 1)**2*(v + 1)*(v + 4)/3
Solve 5*r**4 + 84*r**3 + 8*r - 4 - 2*r**2 - r**5 - 91*r**3 + r**2 = 0 for r.
-1, 1, 2
Let a(p) be the second derivative of -p**6/40 + 3*p**5/20 - 5*p**4/16 + p**3/4 - 33*p. Factor a(d).
-3*d*(d - 2)*(d - 1)**2/4
Let l(g) be the first derivative of -1/2*g**3 - 3/16*g**4 + 3/10*g**5 + 2 + 0*g**2 + 1/8*g**6 + 0*g. Solve l(y) = 0.
-2, -1, 0, 1
Let t be (-12)/(-3)*2/(-4). Let r be 12/42 - t/(-56). Factor -p - p**3 + r*p**4 + 1/4 + 3/2*p**2.
(p - 1)**4/4
Factor -3/4*f**3 + 0 + 3/4*f**2 + 3/4*f - 3/4*f**4.
-3*f*(f - 1)*(f + 1)**2/4
Let z(h) be the first derivative of h**4/6 + h**3/3 - h + 2. Let d(b) be the first derivative of z(b). Let d(x) = 0. What is x?
-1, 0
Let i(o) = -36*o**4 - 72*o**3 - 48*o**2 - 12*o. Let p(g) = g**4 + g**3 - g**2 - g. Let z(j) = -i(j) + 4*p(j). Find c, given that z(c) = 0.
-1, -1/2, -2/5, 0
Let c(j) = -j**3 + 7*j**2 - 4*j - 12. Let z be c(6). Suppose -2*w + 4 = -z. Find k, given that 0*k**w + 0 - 3/7*k**4 + 1/7*k**3 + 0*k = 0.
0, 1/3
Let r(j) be the third derivative of -j**7/210 + j**6/30 - j**5/20 - j**4/6 + 2*j**3/3 + 2*j**2. Suppose r(b) = 0. What is b?
-1, 1, 2
Let t = 7 + -5. Factor 4/7*h**5 + 10/7*h**4 + 6/7*h**3 - 2/7*h**t - 2/7*h + 0.
2*h*(h + 1)**3*(2*h - 1)/7
Let w = 147/4 - 1021/28. Find m such that -2/7*m**2 + 0 + w*m**3 + 0*m = 0.
0, 1
Let r(y) be the third derivative of -y**7/42 - y**6/24 + y**5/4 + 5*y**4/24 - 5*y**3/3 - 64*y**2. Factor r(q).
-5*(q - 1)**2*(q + 1)*(q + 2)
Let c(w) be the second derivative of -w**6/2 - w**5/4 + 15*w**4/4 - 5*w**3/2 - 5*w**2 - 27*w. What is s in c(s) = 0?
-2, -1/3, 1
Suppose -w = -4*s + 9, 2*w = -2*s - 3*w - 1. Factor 1/4*k**3 - 1/4*k**4 + 1/4*k**s + 0 + 0*k - 1/4*k**5.
-k**2*(k - 1)*(k + 1)**2/4
Let r(g) be the first derivative of -g**6/1440 + g**3/3 - 2. Let f(o) be the third derivative of r(o). Solve f(v) = 0 for v.
0
Let o(j) = -2*j**2 - 5. Let r(i) = -i**2 - 2. Let l(v) = 3*o(v) - 7*r(v). Let l(w) = 0. Calculate w.
-1, 1
Let o = 1 - -13. Let p be (4/7)/(4/o). Suppose 2*n**2 + 0*n**p - 4*n**2 + 2*n = 0. What is n?
0, 1
Let j(x) be the third derivative of -1/120*x**6 - 1/30*x**5 + 0*x - 8*x**2 + 0*x**3 + 0 + 0*x**4. Solve j(p) = 0.
-2, 0
Let z(h) be the second derivative of -h**7/10080 + h**6/2880 + h**5/240 - h**4/6 + 3*h. Let l(f) be the third derivative of z(f). Factor l(t).
-(t - 2)*(t + 1)/4
Let p(q) be the second derivative of -q**7/70 - 3*q**6/40 - q**5/20 + 3*q**4/8 + q**3 + q**2/2 + q. Let d(a) be the first derivative of p(a). Factor d(b).
-3*(b - 1)*(b + 1)**2*(b + 2)
Let t(d) = -d**3 + d - 1. Let o(c) = 8*c**3 - 8*c + 6. Let n = -13 -