/7*g**4 - 4/35*g**5 + 0*g**2 - 5. Solve d(k) = 0.
-1, 0
Let l(b) = -7*b**2 - 3*b + 11. Let r(z) = -4*z**2 - 2*z + 6. Let u(h) = -6*l(h) + 11*r(h). Factor u(s).
-2*s*(s + 2)
Factor 2*z + 23*z**2 + 31*z**2 - 52*z**2 - 4*z.
2*z*(z - 1)
Suppose 5*n - 12 + 2 = 0. Let w = n - 0. Find p such that 2/5*p**3 + 4/5*p**4 + 2/5*p**5 + 0 + 0*p**w + 0*p = 0.
-1, 0
Let w(x) = -x + 1. Let o(a) = -a**4 + a - 1. Let m(z) = -z + 5. Let b be m(4). Let f(t) = b*o(t) + w(t). Determine k, given that f(k) = 0.
0
Solve n**2 - 8/7*n + 3/7 - 2/7*n**3 = 0.
1, 3/2
Let i(r) be the third derivative of -r**5/12 - 20*r**4/3 - 640*r**3/3 - 44*r**2. Determine x so that i(x) = 0.
-16
Factor 15*d + 8*d**2 - 27*d**2 + 14*d**2 - 10.
-5*(d - 2)*(d - 1)
Let s(o) be the first derivative of -4*o**3/3 + 4*o**2 - 7. Solve s(h) = 0 for h.
0, 2
Suppose 4*y - 3*h = 11, -2*y = -3*h - 5 - 2. Let n be 1 + (-3)/(-2) + 1. What is t in -t**y - n*t + 7/2*t**3 + 1 = 0?
-1, 2/7, 1
Let f be 1 - (8/(-4))/1. Suppose 29 = 3*b - f*p + 8, 18 = 2*b - 3*p. Factor -6*l**3 + 0*l + 0 - 15/4*l**4 - b*l**2 - 3/4*l**5.
-3*l**2*(l + 1)*(l + 2)**2/4
Let r(m) be the second derivative of 0 + 1/48*m**4 - 1/24*m**3 + 3*m + 0*m**2. Let r(y) = 0. What is y?
0, 1
Let o = 22 + -22. Let m(v) be the second derivative of o - 2*v - 1/21*v**4 + 1/70*v**5 + 2/7*v**2 - 1/21*v**3. Solve m(l) = 0.
-1, 1, 2
Let c(y) = 4*y**5 + 11*y**4 - 4*y**3 + 5*y - 5. Let h(w) = -4*w**5 - 10*w**4 + 4*w**3 - 4*w + 4. Let d(v) = -4*c(v) - 5*h(v). Factor d(u).
2*u**3*(u + 2)*(2*u - 1)
Let f be -7 + 11 + 8/(-10). What is x in -4/5*x**2 - 14/5*x**3 - 6/5*x**5 + 0*x + 0 - f*x**4 = 0?
-1, -2/3, 0
Let p(u) be the second derivative of 8*u**7/147 - 26*u**6/105 + 3*u**5/35 + 16*u**4/21 - 8*u**3/21 - 18*u. Suppose p(v) = 0. What is v?
-1, 0, 1/4, 2
Let q(l) = -15*l**2 + 53*l + 5. Let v(j) = -5*j**2 + 18*j + 2. Let b(a) = 6*q(a) - 17*v(a). Factor b(f).
-(f - 2)*(5*f - 2)
What is l in -7*l**2 + 2*l**5 - 7*l**3 + 6*l**3 + 4 + 3*l**4 - l**5 = 0?
-2, -1, 1
Factor q**2 + 3*q + 8*q**2 - 2 + 2*q**2 - 12*q**2.
-(q - 2)*(q - 1)
Find w such that 0*w + 0*w**2 + 0 + 1/4*w**3 = 0.
0
Suppose 4*h + 0*h = 8. Factor 2*s**3 + 8*s**2 + 7*s + 2 + 0 - 13*s**5 + 12*s**5 - h*s**4.
-(s - 2)*(s + 1)**4
Factor -1/2*y**4 - 1/4*y**3 + 0*y**2 + 0 + 0*y.
-y**3*(2*y + 1)/4
Let m(h) be the third derivative of h**5/30 + h**4/6 + h**3/3 - 3*h**2. Factor m(l).
2*(l + 1)**2
Let k(t) = 3*t - 18. Let g be k(6). Let r(a) be the second derivative of -a + g + a**3 + 3/2*a**2 + 1/4*a**4. Solve r(i) = 0 for i.
-1
Suppose -3 + 2*x + 3*x**2 + 0 - 2*x = 0. What is x?
-1, 1
Let f be 12/(-60) - 26/(-30). Let i = -5 - -5. Factor 0 + i*z - f*z**2 - 2/3*z**3.
-2*z**2*(z + 1)/3
Find o such that -13*o**3 - 3*o + 16*o**3 + 2*o + 2 - 4*o**2 + 0*o = 0.
-2/3, 1
Let r be 4 + (-100)/8*2. Let f be -3 + 1/(r/(-66)). Find v, given that 4/7*v - 4/7 - f*v**2 = 0.
2
Suppose -1/7*p - 1/7*p**2 + 0 = 0. Calculate p.
-1, 0
Let s = 9713/9 + -1079. Factor -4/9*k**3 - s + 4/9*k + 0*k**2 + 2/9*k**4.
2*(k - 1)**3*(k + 1)/9
Suppose 0 = -4*d + 2*a + 64, -5*d - 2*a = 3*a - 110. Let v be -1 + 5*d/15. Factor -1/5*c**v - 2*c**2 - 2*c**3 - c**4 - c - 1/5.
-(c + 1)**5/5
Let m(k) = 5*k**3 + 66*k**2 + 186*k + 6. Let i(o) = 55*o**3 + 725*o**2 + 2045*o + 65. Let n(w) = -6*i(w) + 65*m(w). Factor n(z).
-5*z*(z + 6)**2
Let y be 8/2 + -3 + -1. Let w(j) be the second derivative of 0*j**3 + y*j**4 - 1/90*j**6 + 0*j**5 + 0 + 2*j - 1/126*j**7 + 0*j**2. Factor w(f).
-f**4*(f + 1)/3
Let y(g) be the second derivative of -1/30*g**5 - 1/126*g**7 + 0 - 5*g + 1/6*g**3 + 1/30*g**6 - 1/18*g**4 - 1/6*g**2. Factor y(f).
-(f - 1)**4*(f + 1)/3
Let u(i) = -13*i**4 + 24*i**2 + 21*i. Let z(x) = -20*x**4 + 36*x**2 + 32*x. Let f(b) = 8*u(b) - 5*z(b). Factor f(m).
-4*m*(m - 2)*(m + 1)**2
Let o(i) be the first derivative of -i**4/3 - 4*i**3/9 + 8*i**2/3 + 16*i/3 - 7. Factor o(m).
-4*(m - 2)*(m + 1)*(m + 2)/3
Let r(z) be the first derivative of z**6/40 - 3*z**4/8 - z**3 - 3*z**2 + 9. Let h(w) be the second derivative of r(w). Factor h(k).
3*(k - 2)*(k + 1)**2
Let d(f) be the second derivative of f**7/336 - f**6/40 + 7*f**5/80 - f**4/6 + 3*f**3/16 - f**2/8 + 8*f. Suppose d(s) = 0. What is s?
1, 2
Let h(b) = 2*b**5 + 4*b**4 + 2*b**3 + 2*b. Let p = 9 + -5. Let u(q) = 2*q**5 + 3*q**4 + q**3 + 3*q. Let d(s) = p*u(s) - 6*h(s). Factor d(a).
-4*a**3*(a + 1)*(a + 2)
Let o(n) = -2*n**3 - 7*n**2 + 2*n - 3. Let k(h) = 1 + 11*h**2 - h + 0*h**2 - 8*h**2 + h**3. Let p(l) = -15*k(l) - 6*o(l). Factor p(a).
-3*(a - 1)*(a + 1)**2
Factor 4/5*f + 1/5*f**2 + 4/5.
(f + 2)**2/5
Suppose 1 = l - 2. Suppose -9 = -6*j + l. What is t in -2/7*t**j + 0*t + 0 = 0?
0
Suppose 0 = -f - 19 + 23. Let n(k) be the second derivative of 5/2*k**3 - 3/2*k**2 - k**f + 0 - 3*k. Solve n(z) = 0.
1/4, 1
Let o be ((-3)/9)/(2/6). Let b be 1 - -2*o/(-2). Determine v so that 1/3 - b*v + 3*v**2 = 0.
1/3
Let c(d) be the second derivative of d**7/210 + d**6/150 - 4*d. Determine a so that c(a) = 0.
-1, 0
Let a(k) = -k**2 - 8*k - 8. Let t be a(-6). Solve -12*z**5 - 8*z + 20*z**3 + 2*z**4 + 4*z**4 - 4*z**2 - 2*z**t = 0.
-1, -2/3, 0, 1
Let k(m) = 9*m**4 - 3*m**3 + 3*m**2 - 9*m. Let c(z) = -z**4 + z. Let d = 13 - 12. Let f(r) = d*k(r) + 12*c(r). Factor f(h).
-3*h*(h - 1)*(h + 1)**2
Determine b, given that 58*b**2 + 27*b - 32 + 9*b - 62*b**2 = 0.
1, 8
Let g(n) be the first derivative of 7*n**6/10 - 3*n**5/10 - 7*n**4/4 + n**3 - n - 1. Let y(s) be the first derivative of g(s). Let y(w) = 0. What is w?
-1, 0, 2/7, 1
Factor 32*n + n**2 - 30*n - 3 + 0*n**2.
(n - 1)*(n + 3)
Let k(z) be the third derivative of z**7/2940 - z**6/5040 - z**5/420 + z**4/3 - 6*z**2. Let g(y) be the second derivative of k(y). Factor g(a).
(2*a + 1)*(3*a - 2)/7
Let j(t) be the first derivative of -2*t**5/25 - 3*t**4/5 - 26*t**3/15 - 12*t**2/5 - 8*t/5 - 19. Factor j(q).
-2*(q + 1)**2*(q + 2)**2/5
Let o be ((-1 - -2) + (-3)/2)*-1. What is s in 1/2*s**3 + 1/2*s**4 + 0 - 1/2*s - o*s**2 = 0?
-1, 0, 1
Let c(h) be the third derivative of h**6/120 - 2*h**5/15 - h**4/8 - h**3/3 - 9*h**2. Let i(d) = -d**3 - d - 1. Let m(s) = -c(s) + 4*i(s). Factor m(g).
-(g - 1)**2*(5*g + 2)
Let n(s) = s**4 + s**3 - 2. Let x = 11 - 18. Let r(o) = 3*o**4 + 3*o**3 - 7. Let a(u) = x*n(u) + 2*r(u). Factor a(z).
-z**3*(z + 1)
Let f be (18/5 - 2)/(182/130). Let i be 3/14*(-4)/(-3). Factor f + i*a**2 - 8/7*a.
2*(a - 2)**2/7
Let z(v) be the third derivative of v**7/105 - v**6/60 - v**5/30 + v**4/12 - 7*v**2. Determine m so that z(m) = 0.
-1, 0, 1
Let o(n) be the third derivative of -n**7/42 + n**6/8 - n**5/4 + 5*n**4/24 + 19*n**2. Factor o(g).
-5*g*(g - 1)**3
Determine n so that -7*n**3 + 0*n - 9*n**2 + 4*n**3 - 2*n - 4*n = 0.
-2, -1, 0
Let m(i) be the second derivative of 2/15*i**6 + 4*i**2 + 3*i**4 - 14/3*i**3 - 2*i - i**5 + 0. Factor m(y).
4*(y - 2)*(y - 1)**3
Let d(g) be the first derivative of g**4/14 - 2*g**3/7 + 2*g**2/7 - 23. Determine m, given that d(m) = 0.
0, 1, 2
Suppose -4*r = 4*p - 6*r - 12, 5*r = -20. Let w(v) be the first derivative of 0*v**2 + 0*v**3 + 1/6*v**4 - 1/9*v**6 + p + 0*v + 0*v**5. Solve w(y) = 0.
-1, 0, 1
Let y(f) be the second derivative of f**6/300 - f**5/75 + f**4/60 - 3*f**2/2 + 3*f. Let h(k) be the first derivative of y(k). Determine n, given that h(n) = 0.
0, 1
What is j in -1/6*j**4 - 1/6*j**2 + 0*j + 0 - 1/3*j**3 = 0?
-1, 0
Suppose 2*w + 2*w - 16 = 0. Factor 3*n**w + 2*n - 2*n**4 + 4*n**2 + 4*n**3 + n**2.
n*(n + 1)**2*(n + 2)
Let w(h) = -h**3 + 3*h**2 + 7*h + 3. Let m(a) = a**3 - 3*a**2 - 6*a - 2. Suppose -2*j - 5 = -j. Let s(i) = j*w(i) - 6*m(i). Factor s(z).
-(z - 3)*(z - 1)*(z + 1)
Let s = 2 + 1. Suppose s*y = 2*o - 15, 2*y - 2 + 12 = 2*o. Find n, given that 1/2*n + o + 1/2*n**4 - 1/2*n**2 - 1/2*n**3 = 0.
-1, 0, 1
Let j(m) be the first derivative of -4*m**5/35 + 5*m**4/7 - 12*m**3/7 + 2*m**2 - 8*m/7 + 47. What is f in j(f) = 0?
1, 2
Factor 0 - 2/7*n**3 - 2/7*n**5 + 0*n**2 + 0*n - 4/7*n**4.
-2*n**3*(n + 1)**2/7
Determine d so that -8/9 + 0*d + 2/9*d**3 + 2/3*d**2 = 0.
-2, 1
Let x be 1 + 4/(-2) - 0. Let m(h) = 3*h - 1 - 4*h + 9*h - 7*h**2. Let w(f) = f**2 - f. Let u(v) = x*m(v) - 6*w(v). Factor u(g).
(g - 1)**2
Let y(k) = -39 + k**2 + 4*k**2 + 36*k - 2*k**2. Let p(j) = -j**2 - 9*j + 10. Let n(s) = 15*p(s) + 4*y(s). Find a such that n(a) = 0.
1, 2
Factor 0