- 2/3*w**3.
-2*w*(w - 1)*(w + 2)**2/9
Let r = -1651 - -1656. Factor 1/4*x**r + 1/4*x**2 - 3/4*x**3 + 0 - 1/4*x**4 + 1/2*x.
x*(x - 2)*(x - 1)*(x + 1)**2/4
What is g in 48/7*g + 2/7*g**2 + 0 = 0?
-24, 0
Find x such that 300/7*x**3 + 160/7*x**2 - 282/7*x + 52/7 - 212/7*x**4 - 18/7*x**5 = 0.
-13, -1, 2/9, 1
Let s = -1763 + 1763. Let n(f) be the third derivative of -1/30*f**5 + 0 + s*f + 1/3*f**3 + 10*f**2 + 0*f**4. Find r such that n(r) = 0.
-1, 1
Suppose -19*v + 6 = -16*v. Suppose -29 - 4*h + 9*h**v + 25 - h**2 = 0. Calculate h.
-1/2, 1
Let r be 2 + 0 + 0 - 6. Let b be (-2)/(16/4)*r. Suppose p**2 + 2*p**2 + b*p - 5*p**2 = 0. Calculate p.
0, 1
Let t be -19 + 1639/121 - (0 + -7 + 1). Factor t*m**2 - 2/11*m**3 + 2/11*m - 6/11.
-2*(m - 3)*(m - 1)*(m + 1)/11
Let w(f) be the second derivative of f**8/1680 + f**7/168 - f**3/6 - 9*f. Let i(b) be the second derivative of w(b). Determine x so that i(x) = 0.
-5, 0
Let j be (-14)/(12/14 - (-3 + 4)). Factor 89*h**2 - 6*h - j*h**2 + h**4 + 2*h**4.
3*h*(h - 2)*(h + 1)**2
Let w = 170 + -170. Let f(u) be the third derivative of 1/90*u**5 + w*u + 0 - 1/9*u**4 + 4/9*u**3 - 3*u**2. Factor f(r).
2*(r - 2)**2/3
Let v be (-2)/(-6)*(-24 - -39). Let t(i) be the second derivative of -v*i + 3/2*i**2 - 3/2*i**3 + 3/4*i**4 + 0 - 3/20*i**5. Let t(r) = 0. Calculate r.
1
Let f(c) be the first derivative of -c**5/5 + c**4 + 7*c**3/3 - 5*c**2 + 230. Solve f(x) = 0.
-2, 0, 1, 5
Let p(w) = -13*w**2 + 100*w + 101. Let j(u) = -45*u**2 + 300*u + 303. Let k(r) = -2*j(r) + 7*p(r). Factor k(y).
-(y - 101)*(y + 1)
Let w be (1/(-2))/(90/(-2040)) + -6. Factor -16/3 - w*b - 4/3*b**2.
-4*(b + 2)**2/3
Factor -1/9*l**4 - l**2 + 0*l + 0 + 10/9*l**3.
-l**2*(l - 9)*(l - 1)/9
Suppose 356*o + 28 = 363*o. Let n(h) be the third derivative of 0 + 2/3*h**3 - 1/3*h**o + 10*h**2 + 0*h + 1/15*h**5. Factor n(b).
4*(b - 1)**2
Suppose -3*h + h - 5*k + 17 = 0, -4*k = -h + 28. Let d be (0 - -1)*-1 - (-24)/h. What is u in 0 + 0*u - 1/2*u**2 + 0*u**3 + d*u**4 = 0?
-1, 0, 1
Solve 16/7*y**2 - 10/7*y - 100/7 - 2/7*y**3 = 0 for y.
-2, 5
Let k(o) be the second derivative of 289*o**5/30 - 34*o**4/9 + 4*o**3/9 - 27*o - 1. Factor k(c).
2*c*(17*c - 2)**2/3
Find j such that -2/11*j**4 + 2/11*j**3 - 18/11*j + 0 + 18/11*j**2 = 0.
-3, 0, 1, 3
Determine l, given that 4/7*l**3 - 4/7*l + 0 - 4/7*l**2 + 4/7*l**4 = 0.
-1, 0, 1
Let q(g) = -11*g - 101. Let o be q(-9). Let h(v) = 2*v**2 - 4*v - 18. Let d(n) = -5*n**2 + 14*n + 55. Let y(p) = o*d(p) - 7*h(p). Suppose y(f) = 0. What is f?
-2, 2
Let a(p) be the first derivative of -12 + 0*p + 8/9*p**3 + 0*p**2 - 2/15*p**5 + 0*p**4. Factor a(l).
-2*l**2*(l - 2)*(l + 2)/3
Let x(h) be the third derivative of 0*h + 0*h**5 + 13*h**2 + 0*h**3 + 1/180*h**6 + 0 - 1/36*h**4. Determine g so that x(g) = 0.
-1, 0, 1
Let y(x) be the first derivative of -121*x**7/3360 + 77*x**6/1440 + x**5/12 + x**4/24 + x**3 + 16. Let a(q) be the third derivative of y(q). Factor a(w).
-(w - 1)*(11*w + 2)**2/4
Let j(k) be the second derivative of -2/3*k**4 - 1/3*k**3 + 0 + 6*k + 0*k**2. Find z such that j(z) = 0.
-1/4, 0
Let s(q) be the third derivative of -q**6/120 + 31*q**5/30 - 961*q**4/24 + q**2. Suppose s(l) = 0. What is l?
0, 31
Let w(p) = 14*p**3 + 113*p**2 + 90*p - 37. Let o(f) = -5*f**3 - 38*f**2 - 29*f + 12. Let a(g) = 7*o(g) + 2*w(g). Factor a(n).
-(n + 1)*(n + 5)*(7*n - 2)
Find m such that 24/7*m**2 + 0 - 12/7*m + 3/7*m**4 - 15/7*m**3 = 0.
0, 1, 2
Let c(y) be the second derivative of -1/10*y**5 - 1/2*y**2 + 0 + 7*y + 1/6*y**3 + 1/42*y**7 - 1/30*y**6 + 1/6*y**4. Find j, given that c(j) = 0.
-1, 1
Let c(u) be the first derivative of 3*u**5/25 - 9*u**4/5 + 7*u**3 + 18*u**2/5 - 108*u/5 - 71. Factor c(n).
3*(n - 6)**2*(n - 1)*(n + 1)/5
Let y(b) be the first derivative of 12 - b**2 + b + 0*b**3 + 1/2*b**4 - 1/5*b**5. Suppose y(m) = 0. What is m?
-1, 1
Let u = -15832 - -63331/4. Factor 9/4 - 9/4*r**2 + u*r**3 - 3/4*r.
3*(r - 3)*(r - 1)*(r + 1)/4
Let h = 31 + -29. Suppose 22*s - h = 21*s. Find v, given that 2*v**4 - 4/3*v**3 - 4/3*v - 14/3*v**s + 0 = 0.
-1, -1/3, 0, 2
Let l be (-57)/(-152) - (-84)/288. Factor l*p**2 - 1/3*p - 1/3*p**3 + 0.
-p*(p - 1)**2/3
Factor 2/3*f**5 + 92/3*f**2 + 22/3*f**4 + 68/3*f**3 + 14/3 + 58/3*f.
2*(f + 1)**4*(f + 7)/3
Let z(r) be the third derivative of r**8/151200 - r**6/5400 - r**5/12 + 17*r**2. Let u(w) be the third derivative of z(w). Factor u(p).
2*(p - 1)*(p + 1)/15
Let g be (-6 - (-13 - -6))*0. Find z, given that 1/10*z**3 + 1/10*z**2 + g + 0*z = 0.
-1, 0
Let s(b) = -b - 5. Let i(p) = p**2 + p + 1. Let c(t) = -3*i(t) - s(t). Let l(w) = 35*w**2 + 25*w - 25. Let o(u) = 25*c(u) + 2*l(u). Factor o(g).
-5*g**2
Factor -1/3 + 1/3*k**2 - 1/2*k.
(k - 2)*(2*k + 1)/6
Let s(f) be the third derivative of f**7/5880 + f**6/2520 + 4*f**3/3 - 5*f**2. Let i(p) be the first derivative of s(p). Factor i(c).
c**2*(c + 1)/7
Factor -216 + 536*t**3 + 111*t - 65*t**2 + 81*t**2 - 9*t + 95*t**2 - 533*t**3.
3*(t - 1)*(t + 2)*(t + 36)
Let b(t) be the second derivative of t**4/30 + t**3/5 - 2*t**2 + 38*t. Find j such that b(j) = 0.
-5, 2
Let h(z) be the third derivative of -1/135*z**6 - 3*z**2 - 1/54*z**4 + 0*z + 1/54*z**5 + 1/945*z**7 + 0 + 0*z**3. Factor h(o).
2*o*(o - 2)*(o - 1)**2/9
Let y(w) be the second derivative of -w**5/20 + w**4/3 + w**2 + 4*w. Let q be y(4). Find i such that 2*i**3 - 6*i**2 + 0*i**3 + q*i**2 = 0.
0, 2
Let a(q) = -q**2 + 6*q - 6. Let c be a(4). Solve -8*i**2 - 8*i**2 + 12*i**c + 4 = 0.
-1, 1
Let -24/7*q**2 + 44/7*q - 24/7 + 4/7*q**3 = 0. What is q?
1, 2, 3
Factor 1/3*z**2 + 20/3 + 3*z.
(z + 4)*(z + 5)/3
Suppose 4*q = -4*n, -6*n - 2*q + 8 = -2*n. Let z(o) be the first derivative of 3/7*o**n + 6/7*o + 8/7*o**3 + 10/7*o**2 + 7 + 2/35*o**5. Factor z(r).
2*(r + 1)**3*(r + 3)/7
Let u(s) be the first derivative of 0*s - 2*s**2 + 1/4*s**4 - 1/5*s**5 - 29 + 4/3*s**3. Factor u(v).
-v*(v - 2)*(v - 1)*(v + 2)
Let f be 3/(-2)*((-2600)/(-39))/(-25). Solve -38/5*w**3 - 124/5*w**2 - 16/5 + 28*w**f - 10*w**5 + 88/5*w = 0.
-1, 2/5, 1, 2
Factor 30*y + 23*y**2 + 1/2*y**4 + 25/2 + 6*y**3.
(y + 1)**2*(y + 5)**2/2
Let z = 57 + -33. Suppose h**2 + 20*h + 3*h**2 - 16 - z*h - 8 = 0. What is h?
-2, 3
Let z = -13/6 + 89/30. Solve -14/5*v**5 + 0 - z*v - 26/5*v**2 - 46/5*v**4 - 54/5*v**3 = 0.
-1, -2/7, 0
Let o be 5/(-2)*(-4 - -2). Suppose a - 5 = -1. What is w in 20*w**2 + 9*w + 2 + 14*w**3 - 9*w**a - 4*w**2 + w**o + 15*w**4 = 0?
-2, -1
Let p(u) be the third derivative of -u**7/420 + u**6/180 - 3*u**3 - 11*u**2. Let f(h) be the first derivative of p(h). Factor f(x).
-2*x**2*(x - 1)
Let a(v) = -v - 3. Let s be a(-5). Solve z + 23*z - 27 - 3*z**s - 6*z = 0 for z.
3
Suppose -2*r - 12 = -4*f - 0*r, 0 = -5*f + 2*r + 16. Let y be (f/(-1) + -1)*-1. Factor -3/8*g**4 + 0 + 1/8*g**y + 3/8*g**3 + 0*g - 1/8*g**2.
g**2*(g - 1)**3/8
Let y(g) = 9*g**2 + 209*g + 4418. Let u(a) = -a**2 - 3*a. Let b(q) = -14*u(q) - 2*y(q). Factor b(l).
-4*(l + 47)**2
Let g be -2*(-7)/(-231)*-27. Factor 0 - 32/11*c**4 - g*c**2 + 2/11*c + 48/11*c**3.
-2*c*(c - 1)*(4*c - 1)**2/11
Suppose 0 = -5*x + 3*g + 34, x = -5*g - 10. Let n(s) be the second derivative of -1/45*s**4 + 4*s + 1/225*s**6 + 0 + 1/15*s**2 + 0*s**3 + 0*s**x. Factor n(z).
2*(z - 1)**2*(z + 1)**2/15
Let d(h) be the third derivative of 0*h + 0*h**3 + 0 + 1/150*h**5 - 7*h**2 - 1/30*h**4. Factor d(a).
2*a*(a - 2)/5
Let l be -1 + 2/15*9. Let s(z) be the first derivative of -1/15*z**6 - 4/25*z**5 + l*z**2 + 4/15*z**3 + 0*z + 0*z**4 - 6. Factor s(b).
-2*b*(b - 1)*(b + 1)**3/5
Let i(h) = -6*h**5 - 12*h**4 + 2*h**3 + 13*h**2 + 4*h. Let c(b) = b**5 - b**3 - b**2. Let y(g) = -3*c(g) - 3*i(g). Solve y(m) = 0.
-2, -1, -2/5, 0, 1
Find p such that -2/7*p**2 - 94/7*p + 0 = 0.
-47, 0
Suppose 4*p - 2 = h - 14, -4*p - 12 = 5*h. Let x(s) be the first derivative of -45/4*s**2 + h*s + 5 - 25/2*s**3 - 1/2*s**5 - 35/8*s**4. Factor x(u).
-5*u*(u + 1)*(u + 3)**2/2
Suppose -2*m - 18 = 2*v, m = 2*v - 0*v. Let z = 9 + m. Suppose -z*y**2 - 19*y**3 - 14*y**4 - y**2 + y**3 = 0. What is y?
-1, -2/7, 0
Let k(c) be the third derivative of 0*c - 1/6*c**3 + c**2 - 1/180*c**5 + 1/18*c**4 + 0. Factor k(a).
-(a - 3)*(a - 1)/3
Let t be (384/36)/8 + (1 - (-1)/(-3)). Suppose -4/9*a**t + 4/9*a + 0 = 0. What is a?
0, 1
Suppose 15*w = 7*w + 10*w. Let o(m) be the first derivat