0 + a**4/9 + a**3/9 - 75*a. Factor l(m).
2*m*(m + 1)**2/3
Let q(i) be the first derivative of 75*i**5/4 - 15*i**3/2 + 3*i**2 + 14*i + 1. Let z(a) be the first derivative of q(a). Factor z(d).
3*(5*d - 1)**2*(5*d + 2)
Let v(n) = -19*n**2 + 23*n - 4. Let r(g) = 9*g**2 - 11*g + 2. Suppose 3*c + 3 = 5*c - 3*x, -3*x = 5*c - 39. Let p(s) = c*v(s) + 14*r(s). Factor p(m).
4*(m - 1)*(3*m - 1)
Let y(k) be the third derivative of k**6/480 - 19*k**5/240 + 5*k**4/6 + 25*k**3/6 - 54*k**2. Find m such that y(m) = 0.
-1, 10
What is l in -2*l**3 + 57*l**2 - 3492*l - 6962 - 3234*l + 7*l**2 + 170*l**2 = 0?
-1, 59
Let m(o) be the second derivative of -o**7/504 - o**6/72 + o**5/8 + 7*o**4/6 - 22*o. Let f(s) be the third derivative of m(s). Factor f(x).
-5*(x - 1)*(x + 3)
Let l = -33 - -37. Suppose -3*v - 14 = -4*h, l*v + 3*h - 21 = v. What is t in 5*t**3 - 4*t**3 - 33*t - 4*t**3 + 33 + 21*t**v - 18 = 0?
1, 5
Let n(x) = 8*x**3 + 10*x**2 + 32*x + 10. Let q(m) = m**3 + 2*m + 1. Let y(c) = n(c) - 10*q(c). Determine k, given that y(k) = 0.
-1, 0, 6
Let y(o) be the third derivative of -o**8/504 + 4*o**7/315 - o**6/90 - 2*o**5/45 + o**4/12 - 21*o**2 - 2. Suppose y(c) = 0. Calculate c.
-1, 0, 1, 3
Let u(y) = 4*y**3 + 4*y**2 + 2*y - 2. Let v(l) = -5*l**3 - 7*l**2 - 3*l + 3. Let d(b) = -3*u(b) - 2*v(b). Solve d(r) = 0.
0, 1
Let y be ((-4)/(-18)*3)/((-7)/(-42)). Suppose o - 2*p + 3 = 0, -5*o = y*p - p - 24. What is g in 2*g**o - 2/3*g**5 + 0 + 8/9*g - 4/9*g**4 + 8/3*g**2 = 0?
-1, -2/3, 0, 2
Let v(j) be the second derivative of -j**6/1620 - j**5/270 + j**4/36 - 7*j**3/6 - 20*j. Let y(i) be the second derivative of v(i). Suppose y(l) = 0. What is l?
-3, 1
Let f(z) be the first derivative of z**6/2 + 6*z**5/5 - 15*z**4/4 - 6*z**3 + 304. Factor f(y).
3*y**2*(y - 2)*(y + 1)*(y + 3)
Let j = -454/15 - -153/5. Let x(g) be the first derivative of j*g - 1/9*g**3 + 0*g**2 - 5. Solve x(k) = 0 for k.
-1, 1
Suppose -5*l - 3*y + 33 - 9 = 0, 2*y = -2*l + 12. Let p(n) be the first derivative of 2 - 1/3*n**l + 0*n**2 + n. Factor p(v).
-(v - 1)*(v + 1)
Let v(n) = 15*n**4 + 17*n**3 - 19*n**2 + 5*n + 21. Let i(x) = -7*x**4 - 8*x**3 + 9*x**2 - 2*x - 10. Let s(y) = -13*i(y) - 6*v(y). Factor s(h).
(h - 1)**2*(h + 2)**2
Let i(b) = 7*b**2 + 84 - 50 - 17*b - 42. Suppose -3*k + 46 - 19 = 0. Let r(h) = -3*h**2 + 8*h + 4. Let g(u) = k*r(u) + 4*i(u). Factor g(j).
(j + 2)**2
Suppose 3*u = 3*z + 213, -3*z = 3*u + 27 - 210. Let k be (20/(-16))/((u/16)/(-3)). Determine h so that 2/11*h**2 + k*h + 8/11 = 0.
-4, -1
Factor -3*i**2 - 6717*i**3 + 12*i - 6*i**4 + 6714*i**3 + 27*i**2.
-3*i*(i - 2)*(i + 2)*(2*i + 1)
Let x(j) = -13*j**3 - 56*j**2 - 2*j + 56. Let m(g) = -10*g**3 - 56*g**2 - 2*g + 56. Let z(h) = -5*m(h) + 4*x(h). Suppose z(a) = 0. Calculate a.
-1, 1, 28
Suppose -4*w + 27 = -5*f, 5*w - 15 = 2*f + 2*w. Let x be 6/(-9) - 8/f. Find y such that 18 - 4*y + 4*y + y**x + 8*y - 2 = 0.
-4
Let q(n) = -155*n**3 - 3810*n**2 - 43640*n + 102060. Let v(w) = -11*w**3 - 272*w**2 - 3117*w + 7290. Let z(s) = -6*q(s) + 85*v(s). What is l in z(l) = 0?
-27, 2
Factor 23*t**2 + 0 - 1/2*t.
t*(46*t - 1)/2
Let q(u) = -2*u**3 + 2*u**2 + 7*u + 6. Let s be q(-1). Let z(a) be the first derivative of 2/9*a**s - 1/3*a**2 + 8 + 0*a. What is j in z(j) = 0?
0, 1
Suppose -3*d + 11 = -2*c, -4*c - d = -c - 11. Let o be (2 - 5/c)/(3/(-24)). Determine f so that -1/3*f**5 - 2*f**3 + 4/3*f**2 + 0 - 1/3*f + 4/3*f**o = 0.
0, 1
Let m(j) be the second derivative of 5*j**4/12 - 20*j**3/3 + j - 45. Factor m(i).
5*i*(i - 8)
Let s(r) = 2*r - 4. Let w be s(3). Factor -6/5 - 2/5*c**3 - w*c**2 - 14/5*c.
-2*(c + 1)**2*(c + 3)/5
Suppose -5*k = 4*x - 7, -2*k = 6*x - 2*x - 10. Let p be (k + (-4)/(-3))/((-4)/(-36)). Suppose -5/4*h - 7/2*h**2 + 1/2 + 5/4*h**3 + p*h**4 = 0. What is h?
-1, -2/3, 1/4, 1
Let r(i) be the first derivative of 2/3*i**3 + 2/5*i**5 + 6 + 7/6*i**4 - 4/3*i - i**2. Suppose r(s) = 0. What is s?
-1, 2/3
Let g(f) = f**3 + 4*f**2 - 5*f + 4. Let z be g(-5). Suppose 23*c - 57 = z*c. Factor -2/3 - 1/3*j**4 - 3*j**2 + 7/3*j + 5/3*j**c.
-(j - 2)*(j - 1)**3/3
Let g be (-3)/(-144) + 0 - (-27 + 27). Let x(l) be the second derivative of -1/80*l**5 + 3*l + 1/24*l**3 + 1/8*l**2 + 0 - g*l**4. Let x(n) = 0. What is n?
-1, 1
Let h(v) = v**2 + 12*v + 3. Let x(p) = p**3 - 7*p**2 - 3*p + 42. Let u be x(6). Let q be h(u). Factor 0*m + 0 + 0*m**2 + 4/15*m**q - 2/15*m**5 + 2/15*m**4.
-2*m**3*(m - 2)*(m + 1)/15
Let f(h) = 15*h**3 + 225*h**2 - 240*h - 10. Let t(o) = -7*o**3 - 112*o**2 + 119*o + 4. Let s(d) = -2*f(d) - 5*t(d). Let s(p) = 0. Calculate p.
-23, 0, 1
Let l(b) be the first derivative of 4*b**5/15 - 13*b**4/6 + 16*b**3/3 - 3*b**2 - 154. Solve l(z) = 0 for z.
0, 1/2, 3
Let v(u) = -4*u**3 + 6*u + 2. Let b(f) be the second derivative of 2*f**5/5 - 13*f**3/6 - 5*f**2/2 - 20*f. Let q(y) = 2*b(y) + 5*v(y). Factor q(m).
-4*m*(m - 1)*(m + 1)
Suppose 0 + 324/5*d + 36/5*d**5 - 2016/5*d**2 - 672/5*d**4 + 3352/5*d**3 = 0. Calculate d.
0, 1/3, 9
Factor 128 - 34*o + 195 - 263 + 97*o + 3*o**2.
3*(o + 1)*(o + 20)
Let b(s) be the first derivative of -s**7/1680 + s**6/360 + s**5/240 - s**4/24 - s**3/3 - 9. Let j(g) be the third derivative of b(g). Factor j(u).
-(u - 2)*(u - 1)*(u + 1)/2
Suppose 9*c = -5*z + 6*c + 60, 7 = 3*z - 4*c. Let u(j) be the first derivative of -48*j**2 - 8*j**3 - 1/2*j**4 + z - 128*j. Factor u(a).
-2*(a + 4)**3
Let g(j) be the second derivative of -j**7/140 - j**6/90 + j**5/9 - 2*j**4/9 + j**3/6 - 12*j. Let l(s) be the second derivative of g(s). Factor l(y).
-2*(y + 2)*(3*y - 2)**2/3
Let c(x) be the second derivative of 2*x + 0*x**2 + 0 + 1/4*x**5 + 7/12*x**4 + 1/2*x**3 + 1/30*x**6. Factor c(j).
j*(j + 1)**2*(j + 3)
Let g(x) be the first derivative of -x**6/180 + 3*x**5/100 + x**4/30 + 25*x**3/3 + 44. Let l(p) be the third derivative of g(p). Factor l(u).
-2*(u - 2)*(5*u + 1)/5
Let w(z) be the third derivative of 7*z**5/36 - 2*z**4/9 - 2*z**3/3 + z**2 + 261*z. Solve w(x) = 0 for x.
-2/5, 6/7
Let l(y) = 18*y**2 - 36*y - 432. Let h(g) = 2*g**2 - 4*g - 48. Let p(f) = -52*h(f) + 6*l(f). Factor p(x).
4*(x - 6)*(x + 4)
Let v = 1/124 - -117/868. Let y be 1*(26/(-14) - -2). Let y*x**3 + 0 + v*x**2 - 2/7*x = 0. Calculate x.
-2, 0, 1
Suppose 0 = -2*r - 3*b + 10, 5*r - 4*b + 5 = 30. Let c(o) be the second derivative of -r*o + 1/28*o**4 + 2/7*o**3 + 6/7*o**2 + 0. Factor c(t).
3*(t + 2)**2/7
Let i(g) be the third derivative of -g**6/780 - 9*g**5/130 - 5*g**4/4 - 425*g**3/39 - 107*g**2 - 3*g. Factor i(c).
-2*(c + 5)**2*(c + 17)/13
Let h = 6124/17 - 360. Determine n so that -h*n + 16/17*n**3 + 2/17*n**2 + 10/17*n**4 + 0 = 0.
-1, 0, 2/5
Let p be (-5256)/(-1485) - (-2 + 256/132). Let -6/5 - p*h**2 + 4/5*h**3 + 4*h = 0. Calculate h.
1/2, 1, 3
Let m be ((-53)/(-1060) + (-2)/(-10))*12. Factor -2/3*g + 4/3*g**m - 2/3*g**5 - 4/3*g**2 + 2/3 + 2/3*g**4.
-2*(g - 1)**3*(g + 1)**2/3
Let k(o) = -6*o + 70. Let w be k(11). Let f = -9 - -18. Determine p so that -3 + 3*p**2 - p**4 + 9*p - 3 + 4*p**w - f*p**3 = 0.
-1, 1, 2
Let 0*q**2 + 0*q - 2/7*q**3 + 0 + 2/7*q**4 = 0. What is q?
0, 1
Let h(m) be the third derivative of m**5/100 + m**4/20 - 12*m**3/5 + 37*m**2 - 2*m. Factor h(r).
3*(r - 4)*(r + 6)/5
Determine u, given that -1/4*u**4 + 1/4*u + 1/4*u**2 + 0 - 1/4*u**3 = 0.
-1, 0, 1
Let h(w) be the third derivative of w**5/20 + 3*w**4/8 - 5*w**3 - 146*w**2. Factor h(j).
3*(j - 2)*(j + 5)
Let a(f) be the first derivative of 7*f**5/20 - 103*f**4/16 + 79*f**3/2 - 153*f**2/2 - 54*f - 690. Factor a(j).
(j - 6)**2*(j - 3)*(7*j + 2)/4
Let j(p) be the second derivative of -p**7/14 + 3*p**5/20 - 122*p + 1. Factor j(o).
-3*o**3*(o - 1)*(o + 1)
Suppose 0 = -56*i + 51*i. Factor i - 1/7*s**4 - 12/7*s**2 - 8/7*s - 6/7*s**3.
-s*(s + 2)**3/7
Let v(d) be the second derivative of -d**5/12 + 5*d**4/24 + 5*d**3/3 - 11*d**2/2 - 4*d. Let j(h) be the first derivative of v(h). Factor j(x).
-5*(x - 2)*(x + 1)
Factor -392*w - 1/6*w**3 - 10976/3 - 14*w**2.
-(w + 28)**3/6
Let t = 449/356 - 1/89. Let j = t + -11/12. Factor -1/3*g**3 - j*g + 2/3*g**2 + 0.
-g*(g - 1)**2/3
Let y = -6028/7 - -862. Solve 4/7*f**2 + 1/7*f + 4/7*f**4 + y*f**3 + 1/7*f**5 + 0 = 0 for f.
-1, 0
Factor -1/3*l + 1/3*l**3 - 10/3*l**2 + 10/3.
(l - 10)*(l - 1)*(l + 1)/3
Let f = -4 - -7. Suppose -2*h + 9 = h. Let w**2 + 5*w**2 - h + 3*w + f*w*