*4 - 8.
(5*j - 2)**3*(5*j + 2)**2/4
Let b = -1435139/420 - -3417. Let m(i) be the third derivative of 1/210*i**5 - b*i**6 + 1/84*i**4 + i**2 + 0 + 0*i**3 + 0*i - 1/735*i**7. Factor m(o).
-2*o*(o - 1)*(o + 1)**2/7
Let i = 2077/3 + -691. Let 2/3*x**2 + 0 - i*x = 0. Calculate x.
0, 2
Suppose 3*p + 4*l = 75, 22 + 3 = p - 5*l. Let q be (30/p)/(3/10). Factor 10*r**5 + 8*r**3 - 20*r**2 + 2 - 6 - 11*r + 24*r**q - 7*r.
2*(r - 1)*(r + 1)**3*(5*r + 2)
Factor 2/7*y - 2/7*y**3 - 4/7 + 4/7*y**2.
-2*(y - 2)*(y - 1)*(y + 1)/7
Let w(f) = -f**5 + 6*f**4 - f**3 - 6*f**2 - f. Let r(j) = j**4 - j**2 - j. Let s(d) = -3*r(d) + w(d). Find t, given that s(t) = 0.
-1, 0, 1, 2
Find d such that -12*d**4 + 2*d**5 + 26*d**4 - 12*d**4 = 0.
-1, 0
Let n(o) = 13*o**4 + 5*o**3 + 7*o**2 + 5. Let z(b) = 5 + b - b**3 + b**2 - b + b**4 - 4. Let s(h) = -n(h) + 5*z(h). Factor s(v).
-2*v**2*(v + 1)*(4*v + 1)
Factor -8/7*o**2 + 0 - 8/7*o - 2/7*o**3.
-2*o*(o + 2)**2/7
Let w = -15 + 9. Let y = w + 9. Let z(a) = -a**2 + 1. Let g(o) = -2*o**2 + 2. Let b(q) = y*g(q) - 8*z(q). Solve b(i) = 0.
-1, 1
Factor -3*z**2 - 2*z + 2*z**2 + 3 + 4*z.
-(z - 3)*(z + 1)
Let w be ((-168)/(-18))/(3*(2 - 0)). Find j such that 8/9*j**2 - 4/9 + w*j**5 + 14/9*j - 28/9*j**3 - 4/9*j**4 = 0.
-1, 2/7, 1
Let l be (0 + 4)/(752/282). Factor 0*x + l - 3/2*x**2.
-3*(x - 1)*(x + 1)/2
Let v(w) = 2*w**3 - 2*w**2 + 2*w. Let l(g) be the first derivative of 0*g - 2*g**2 + 5/3*g**3 - g**4 - 3. Let y(u) = 6*l(u) + 13*v(u). Factor y(t).
2*t*(t + 1)**2
Suppose 4*r - 12 = -2*k, -4*k + 3*r = -25 + 1. Suppose -21 = -5*g - k. Let 3*p**g + 4*p**3 - 6*p**3 = 0. What is p?
0
Find l, given that -4 - 5*l + 3*l - 3*l**2 + 10*l = 0.
2/3, 2
Let h(s) be the first derivative of -3*s**4/32 + 9*s**2/16 + 3*s/4 + 8. Factor h(j).
-3*(j - 2)*(j + 1)**2/8
Let r(j) be the second derivative of -7*j**4/6 + 41*j**3/6 - 6*j**2 - 3*j. Let g(z) = -5*z**2 + 14*z - 4. Let c(b) = 14*g(b) - 4*r(b). Factor c(i).
-2*(i - 2)*(7*i - 2)
Let o(k) be the third derivative of 0 + k**2 + 0*k + 1/240*k**5 + 0*k**3 - 1/96*k**4. Let o(i) = 0. What is i?
0, 1
Let o(j) be the second derivative of -j**6/135 - j**5/45 + j**4/54 + 2*j**3/27 + 9*j. Factor o(n).
-2*n*(n - 1)*(n + 1)*(n + 2)/9
Suppose -5*p + 3*p = -9*p. Factor -2/3*d + p + 7/3*d**2.
d*(7*d - 2)/3
Let q(v) be the second derivative of 1/25*v**5 + 0 + 1/30*v**4 + 0*v**3 - 3*v + 1/75*v**6 + 0*v**2. Solve q(w) = 0 for w.
-1, 0
Factor -10*s - 6*s**3 + 33*s**2 + s**3 - 48*s**2.
-5*s*(s + 1)*(s + 2)
Let c(s) be the third derivative of -1/6*s**3 + 0*s + 1/60*s**6 + 2*s**2 - 1/12*s**4 + 0*s**5 + 0 + 1/210*s**7. Factor c(r).
(r - 1)*(r + 1)**3
Let f = 2/31 + 23/124. Suppose -5*u = -15, -2 - 1 = 2*v - u. Determine k, given that -1/2*k**5 + 1/2*k**3 + 0 - 1/4*k**2 + v*k + f*k**4 = 0.
-1, 0, 1/2, 1
Let a(n) be the third derivative of -n**7/420 - n**6/120 + 11*n**2. Let a(p) = 0. Calculate p.
-2, 0
Let y(r) = 2*r + 8. Let t be y(-6). Let m be (-2)/t*(0 + 0). Factor 9*z - 3*z**2 - 4 + m*z - 2.
-3*(z - 2)*(z - 1)
Let b(o) be the third derivative of 0*o - 1/280*o**8 + 0 - 1/150*o**5 + 1/105*o**7 + 0*o**4 + 0*o**3 + o**2 - 1/300*o**6. Factor b(r).
-2*r**2*(r - 1)**2*(3*r + 1)/5
Suppose -5*s = -21 + 6. Factor 14*z**s - z + 2*z + 18*z**2 + 3*z.
2*z*(z + 1)*(7*z + 2)
Let d(s) = -s**2 + s - 1. Let x(m) = 6*m**2 + 6*m + 2. Let z(c) = -2*d(c) - x(c). Factor z(v).
-4*v*(v + 2)
Let s(y) be the second derivative of -y**4/2 + 4*y**3/3 + 4*y**2 - 8*y. Factor s(m).
-2*(m - 2)*(3*m + 2)
Let s(l) = -10*l**4 + 39*l**3 - 69*l**2 + 29*l - 11. Let p(d) = -5*d**4 + 19*d**3 - 34*d**2 + 14*d - 6. Let i(c) = -11*p(c) + 6*s(c). Factor i(k).
-5*k*(k - 2)**2*(k - 1)
Let p(q) = q**2 + 17*q + 10. Let n be p(-12). Let l be 6/8*n/(-15). Factor 1/2*w**3 - 1 - 2*w**2 + l*w.
(w - 2)*(w - 1)**2/2
Let f(w) be the third derivative of 0*w - 1/330*w**5 + 0*w**3 - 1/132*w**4 - 3*w**2 + 0. Factor f(o).
-2*o*(o + 1)/11
Let t(h) = -h**3 + 11*h**2 - 10*h. Let o be t(10). Suppose b = -o*b. Factor 1/2*u**5 + b*u - 1/2*u**4 + 0 + 1/2*u**2 - 1/2*u**3.
u**2*(u - 1)**2*(u + 1)/2
Suppose 12 = -13*v + 38. Factor 0 + 0*h + 2/7*h**3 - 2/7*h**v.
2*h**2*(h - 1)/7
Factor 15/4*g**2 - 6*g - 3/4*g**3 + 3.
-3*(g - 2)**2*(g - 1)/4
Factor 3*r**2 - 6*r + 9 - 6*r**2 + 0*r**2.
-3*(r - 1)*(r + 3)
Let a(s) = -s**2 + s. Let w(j) = -14*j**2 + 6*j + 4. Let b(z) = 8*a(z) - w(z). Find l, given that b(l) = 0.
-1, 2/3
Let u(n) be the second derivative of n**7/126 + n**6/36 + n**5/120 - n**4/36 + 13*n. Solve u(s) = 0.
-2, -1, 0, 1/2
Let f(s) = 4*s**4 - 20*s**3 + 23*s**2 - 7*s. Let x(d) = -d**4 + d**3 + d**2 - d. Let a(q) = -4*f(q) + 12*x(q). Suppose a(l) = 0. What is l?
0, 2/7, 1, 2
Let y be (6/(-9))/((-2)/15). Suppose p = -6 + y. Let z(n) = n**2 - n + 1. Let q(m) = -4*m**2 + 4*m - 10. Let v(r) = p*q(r) - 6*z(r). Solve v(d) = 0.
-1, 2
Let s(c) = -5*c - 5*c**3 + 3 + 6 - 2 - 3 - 10*c**4 - 18*c**2. Let x(i) = -3*i**4 - 2*i**3 - 6*i**2 - 2*i + 1. Let j(a) = -4*s(a) + 14*x(a). Factor j(w).
-2*(w + 1)**4
Let x(a) be the third derivative of -a**7/945 - a**6/180 - a**5/135 - 8*a**2. Factor x(n).
-2*n**2*(n + 1)*(n + 2)/9
Let l(w) be the first derivative of -2/15*w**5 - 3 + 0*w**4 - 2/3*w + 0*w**2 + 4/9*w**3. Factor l(h).
-2*(h - 1)**2*(h + 1)**2/3
Let o(n) = 17*n**3 - 18*n**2 - 8*n. Let q(t) = 11*t**3 - 12*t**2 - 5*t. Let k(w) = -5*o(w) + 8*q(w). Factor k(d).
3*d**2*(d - 2)
Determine y, given that -2/3*y**2 + 8/9 + 0*y - 2/9*y**3 = 0.
-2, 1
Let z(y) be the first derivative of 2*y**5/5 - 2*y**3/3 - 3. Let d(t) = -2*t**4 + 2*t**2. Let u(b) = 4*d(b) + 3*z(b). Solve u(j) = 0 for j.
-1, 0, 1
Let d(y) be the first derivative of 4*y**5/5 - 37*y**4/4 + 39*y**3 - 135*y**2/2 + 27*y + 8. Find a, given that d(a) = 0.
1/4, 3
Factor 6*u**2 + u - 6*u**2 - 3*u**2 + 4*u**5 - 5*u**3 + 3*u**4.
u*(u - 1)*(u + 1)**2*(4*u - 1)
Suppose 3*r = -0*p + 2*p - 2, -3*r + 3 = 3*p. Suppose -2*s = -2*d + 2, -6 = -d - p. Factor -3*z**2 + s*z + 4 - z**2 + 5*z**2.
(z + 2)**2
Let q be (-2)/(-14) - (-7)/49. Find g, given that 2/7 + q*g**2 - 4/7*g = 0.
1
Let u = 511/2994 - 2/499. Let -u*p**2 + 1/2*p - 1/3 = 0. Calculate p.
1, 2
Suppose -4 - 35 = -3*r. Factor -12*f**3 - r*f**4 - 17*f**4 - 9*f**5 - f**2 + 25*f**2.
-3*f**2*(f + 2)**2*(3*f - 2)
Suppose -2*i + 6 = i. Suppose l - 6 + i = 0. Factor -3/5*f**5 + 0 + 0*f**2 + 3/5*f**3 + 0*f + 0*f**l.
-3*f**3*(f - 1)*(f + 1)/5
Let s(o) = -6*o**4 - 3*o**4 + 3*o + 2*o**4 - 3*o**3 - 2 + 5*o**2. Let t(n) = 20*n**4 + 8*n**3 - 15*n**2 - 8*n + 6. Let z(b) = -11*s(b) - 4*t(b). Factor z(k).
-(k - 1)**2*(k + 1)*(3*k + 2)
Let h(b) = 3*b**2 + 8*b**2 + 11*b + 6*b + 3*b - 8. Let k(i) = -i**2. Let m(v) = h(v) - k(v). Factor m(a).
4*(a + 2)*(3*a - 1)
Let l(j) be the third derivative of j**8/6720 - j**6/720 + j**4/12 + j**2. Let h(i) be the second derivative of l(i). Find p, given that h(p) = 0.
-1, 0, 1
Let d(f) be the first derivative of -f**5/5 + 3*f**4/4 - f**3 + f**2/2 - 1. Factor d(t).
-t*(t - 1)**3
Let o(i) be the second derivative of 3*i**5/20 - i**4/2 - i**3/8 + 3*i**2/4 - 13*i. Find x such that o(x) = 0.
-1/2, 1/2, 2
Let w(l) be the first derivative of l**6/18 + l**5/15 - 5*l**4/12 - l**3/9 + 4*l**2/3 - 4*l/3 + 1. What is d in w(d) = 0?
-2, 1
Suppose b - 3 - 15 = 0. Let v = b - 13. Factor -5*k**4 - 10*k**3 - 6 - 5*k + 3 - k**v - 10*k**2 + 2.
-(k + 1)**5
Suppose -51*d + 114 = -39. Determine c, given that -c**2 + c**4 - 2/5*c + 3/5*c**5 - 1/5*c**d + 0 = 0.
-1, -2/3, 0, 1
Let w = -109 - -112. Let s(o) be the second derivative of -1/50*o**5 + 1/5*o**4 - 4/5*o**w + 0 - 3*o + 8/5*o**2. Factor s(p).
-2*(p - 2)**3/5
Let y(v) = 4*v**2 - v - 5*v**2 + 8*v**3 - 3*v**2 + 6*v**2. Let b(z) = 7*z**3 + 2*z**2 - z. Let h(p) = 5*b(p) - 4*y(p). Solve h(g) = 0.
-1, 0, 1/3
Suppose -5*y + 10 = -s - 0*s, 2*s = -2*y + 4. Let r be y/((-30)/(-39)) + -1. Solve 0 + 14/5*k**3 + r*k**2 - 6/5*k**5 - 8/5*k**4 - 8/5*k = 0.
-2, -1, 0, 2/3, 1
Let j(z) be the first derivative of 0*z**3 + 2/3*z + 1/2*z**2 + 3 - 1/12*z**4. Factor j(v).
-(v - 2)*(v + 1)**2/3
Let n(m) be the third derivative of 0*m**5 + 0*m**3 - 1/1848*m**8 + 0 - 1/1155*m**7 + 0*m**6 + 0*m - 3*m**2 + 0*m**4. Suppose n(h) = 0. What is h?
-1, 0
Let b(a) be the third derivative of a**5/30 + a**4/3 + a**3 + 8*a**2. Factor b(w).
2*(w + 1)*(w + 3)
Let s(j) be the first derivative of -j**7/28 - 