*j + 20/3*j**4 + 1/3*j**6 - 40/3*j**3 + 0 - 1/42*j**7 - 7*j**2. Factor d(x).
-5*(x - 2)**4
Let q(w) be the first derivative of w**4/18 - 2*w**3/27 - 20*w**2/9 + 48. Factor q(u).
2*u*(u - 5)*(u + 4)/9
Solve -1/2*s**4 + 7/6*s**2 - 1/6*s**5 - 2/3 + 1/6*s**3 + 0*s = 0.
-2, -1, 1
Suppose 3*n + 1/2 + 5/2*n**2 = 0. Calculate n.
-1, -1/5
Let -26*h**2 + 0*h + 126 + 42*h**2 + 4*h - 18*h**2 = 0. What is h?
-7, 9
Suppose -2*n - q + 2*q = 69, 0 = -4*n - 3*q - 153. Let d be (2/4)/(9/n*-13). Suppose 0 - d*w + 2/13*w**2 = 0. Calculate w.
0, 1
Suppose 36 = 4*h + 2*u, 6*h - 3*h = -4*u + 22. Let q be (-61)/(-10) + 4/h. Factor 0 - 9/2*s**3 - 1/2*s**2 + s + q*s**4 - 5/2*s**5.
-s*(s - 1)**3*(5*s + 2)/2
Suppose -15*y - 24 = -69. Factor -2*d**4 + y*d**5 - d**5 + 13 - 13.
2*d**4*(d - 1)
Let f = -5335/8 - -667. Let b(t) be the first derivative of -6 - f*t**2 - 1/20*t**5 + 1/12*t**3 + 1/16*t**4 + 0*t. Solve b(w) = 0.
-1, 0, 1
Find g such that -91*g**4 + 56*g**4 + 2*g**3 + 48*g**4 - 8*g**3 + 5*g**5 = 0.
-3, 0, 2/5
Let s(q) be the second derivative of 1/6*q**6 + 0 + 70/3*q**3 - 5/2*q**4 - 60*q**2 - 3/4*q**5 + 15*q. Factor s(w).
5*(w - 2)**3*(w + 3)
Suppose -n = 3*n + 3*b - 13, -n = 4*b - 13. Suppose 4 + n = 5*m. Factor 0 + 0*j**3 - m + j**3 + 2 - j - j**2.
(j - 1)**2*(j + 1)
Let g be 216/(-20) + 11 - (-20 - -1). Factor 0 - 12/5*v**2 - 27*v**4 - 243/5*v**5 + 0*v + g*v**3.
-3*v**2*(v + 1)*(9*v - 2)**2/5
Suppose -w - 30 = 3*c, 0 = 3*w - c - 4*c + 132. Let t = 41 + w. Factor 15/2*y**t + 0 - 3*y.
3*y*(5*y - 2)/2
Let n(o) = -o**3 + 8*o**2 + 5*o - 5. Let p(s) = -4*s**2 - 2*s + 2. Suppose r - 20 = -3*l, 0 = -3*r + 8*r + 3*l - 40. Let i(y) = r*p(y) + 2*n(y). Factor i(t).
-2*t**2*(t + 2)
Let h(y) be the third derivative of y**6/40 - 3*y**5/10 - 13*y**2 - 1. Solve h(g) = 0 for g.
0, 6
Let m(p) be the second derivative of p**7/2520 - p**6/180 + p**5/40 - p**4/6 - 14*p. Let z(v) be the third derivative of m(v). Factor z(k).
(k - 3)*(k - 1)
Find v, given that 8/5 + 1/10*v**3 - 9/10*v**2 + 3/5*v = 0.
-1, 2, 8
Let q(n) = 10*n**4 + 6*n**3 - 66*n**2 - 126*n + 608. Let d(l) = l**4 - 2*l + 1. Let y(c) = 8*d(c) - q(c). Suppose y(b) = 0. Calculate b.
-5, 3, 4
Let k = 16530 - 16526. Suppose -16/9*r**3 - 2/9*r**k - 4*r - 14/3*r**2 + 0 = 0. What is r?
-3, -2, 0
Let t(q) be the third derivative of 0 + 0*q**3 + 0*q - 2*q**4 - 7*q**2 - 2*q**6 + 5/14*q**7 - 19/5*q**5. Factor t(g).
3*g*(g - 4)*(5*g + 2)**2
Let y(v) be the first derivative of 0*v**2 + 0*v**3 - 3/4*v**4 + 0*v - 12 - 1/5*v**5. Factor y(d).
-d**3*(d + 3)
Let y(q) be the second derivative of 2*q**6/27 - q**5/9 + 5*q**4/72 + 7*q**3/3 - 11*q. Let z(w) be the second derivative of y(w). Let z(g) = 0. What is g?
1/4
Factor -240816/5*z - 122488/5*z**2 - 119716/5 - 1392/5*z**3 - 4/5*z**4.
-4*(z + 1)**2*(z + 173)**2/5
Let h(f) = -f**2 - 54*f - 471. Let o be h(-43). Suppose 2/13*k**o + 6/13*k + 4/13 = 0. Calculate k.
-2, -1
Factor 4/3 + 0*n - 1/3*n**2.
-(n - 2)*(n + 2)/3
Let f = -212 - -16113/76. Let b = f + 149/228. Factor -2*a**2 - b*a**4 + 0 + 2*a**3 + 2/3*a.
-2*a*(a - 1)**3/3
Let t(d) be the third derivative of -d**7/5460 + d**5/195 + 3*d**3 + 2*d**2. Let j(h) be the first derivative of t(h). Let j(u) = 0. What is u?
-2, 0, 2
Let m = -1/13600 - -27203/40800. Factor -4/9 + 2/9*j**5 + 4/9*j**2 + 0*j**4 + m*j - 8/9*j**3.
2*(j - 1)**3*(j + 1)*(j + 2)/9
Let z(o) be the second derivative of 0 + 0*o**2 + 12*o + 1/3*o**4 + 8/3*o**3. Let z(q) = 0. What is q?
-4, 0
Let o be ((4/70)/((-48)/60))/((-348)/812). Determine y, given that 1/3*y**4 - 1/6*y + 1/2*y**2 + 5/6*y**3 - o = 0.
-1, 1/2
Let c = -2/217 - -1091/651. Let u(z) be the first derivative of 1/2*z**2 + 7/4*z**4 - 3/5*z**5 - 4 + 0*z - c*z**3. Suppose u(n) = 0. What is n?
0, 1/3, 1
Let s(d) be the third derivative of d**6/160 - 81*d**5/80 + 1599*d**4/32 + 1681*d**3/8 + d**2 + 1. Solve s(o) = 0.
-1, 41
Let i(l) be the second derivative of l**6/120 - l**5/40 - l**4/16 + l**3/3 - l**2/2 + 11*l. Suppose i(f) = 0. Calculate f.
-2, 1, 2
Suppose 0 = n + 30 - 48. Let i be -3*3/n*(-12)/3. Determine h so that -4/13*h**3 + 0*h + 0 + 2/13*h**i - 6/13*h**4 = 0.
-1, 0, 1/3
Let w(s) be the second derivative of 0 + 3/10*s**6 - 7/4*s**4 + 6*s**2 - 3/20*s**5 + 1/14*s**7 - 14*s + 0*s**3. Determine m so that w(m) = 0.
-2, -1, 1
Let n(o) be the third derivative of o**9/120960 + o**8/40320 + o**5/5 + 6*o**2. Let h(y) be the third derivative of n(y). Suppose h(s) = 0. What is s?
-1, 0
Let p = -8/2221 - -46673/8884. Let x = -8 + 8. Determine r, given that -3/2*r**2 + x - p*r**3 - 15/4*r**4 + 0*r = 0.
-1, -2/5, 0
Let h(z) be the third derivative of 0*z**3 + 0*z + 45*z**2 + 1/10*z**4 - 1/150*z**5 + 0. What is g in h(g) = 0?
0, 6
Let x(o) be the first derivative of -o**5/150 - o**4/90 - 16*o + 1. Let l(y) be the first derivative of x(y). Factor l(p).
-2*p**2*(p + 1)/15
Suppose -5*c + 3*z = 2, -15*z = -2*c - 13*z - 4. Let j be 42/(-9) - (-5)/1. Determine t so that 0*t**c - t + j*t**3 + 2/3 = 0.
-2, 1
Let z = -14 + 4. Let s(d) = d**3 + 10*d**2 - d - 6. Let g be s(z). Factor -h**4 + 2*h**g + 2*h**3 - h**3 + 0*h**4.
h**3*(h + 1)
Solve -10/13*r**2 + 4/13*r + 0 + 6/13*r**4 - 8/13*r**3 = 0 for r.
-1, 0, 1/3, 2
Let q(r) be the first derivative of -r**3/6 + 47*r**2/2 - 93*r/2 + 1006. Factor q(g).
-(g - 93)*(g - 1)/2
Let l(w) be the second derivative of -1/390*w**5 - 1/39*w**3 + 1/78*w**4 + w + 0 + 3*w**2. Let z(u) be the first derivative of l(u). Factor z(h).
-2*(h - 1)**2/13
Let x(m) be the third derivative of -1/200*m**5 + 1/1800*m**6 + 0 - 1/2*m**3 + 13*m**2 + 1/60*m**4 + 0*m. Let b(t) be the first derivative of x(t). Factor b(g).
(g - 2)*(g - 1)/5
Let m(d) be the second derivative of 3/2*d**2 - 1/40*d**6 - 3/20*d**5 - 3/16*d**4 + 1/2*d**3 + 0 + 15*d. Determine x, given that m(x) = 0.
-2, -1, 1
Let l be (-42)/(-546) + (-25)/(-13). Factor 15*h + 10/3 + 20/3*h**l.
5*(h + 2)*(4*h + 1)/3
Suppose -1/8*n**2 + 0 - 65/8*n = 0. What is n?
-65, 0
Suppose 8*g + 6*g - 616 = 0. Determine u, given that -8*u + g*u + 15 - 26*u - 5*u**2 = 0.
-1, 3
Factor -3 - 147*r + 2*r**2 + 29 + 169*r + 10.
2*(r + 2)*(r + 9)
Let b = -96 - -97. Factor 5*q**2 - 4*q**2 + 0 - 5 - 5*q - b.
(q - 6)*(q + 1)
Suppose 5*d + 19 + 26 = 0. Let m = d + 29. Let 20*c**2 - 4*c**3 - 4*c**5 + m*c**3 - 4*c**3 + 8*c - 4*c**4 = 0. Calculate c.
-1, 0, 2
Factor 18*v**3 + 7*v**3 - 46*v**3 - 47*v**3 - 20*v**4 - v + 56*v**2 + 33*v.
-4*v*(v - 1)*(v + 4)*(5*v + 2)
Let t(q) be the second derivative of -q**6/135 + 7*q**5/90 - q - 47. Let t(y) = 0. What is y?
0, 7
Suppose 0 = 252*j + 19 - 14 - 5. Factor -1/5*t + 3/5*t**2 + 4/5*t**3 + j.
t*(t + 1)*(4*t - 1)/5
Let j(h) be the second derivative of 7/54*h**4 - 2/9*h**2 - 5/27*h**3 + 7*h + 0. Find y such that j(y) = 0.
-2/7, 1
Let v(u) = -25*u**2 - 19*u**2 + 8*u**2 + 57 - 6*u. Let k(y) = 5*y**2 + y - 8. Let g(s) = 15*k(s) + 2*v(s). What is j in g(j) = 0?
-2, 1
Let i = -3915 - -43067/11. Factor 0*c + 0 - 2/11*c**4 + 2/11*c**2 - i*c**5 + 2/11*c**3.
-2*c**2*(c - 1)*(c + 1)**2/11
Let g(y) = 145*y**2 + 855*y + 2380. Let h(n) = -11*n**2 - 66*n - 183. Let q(o) = -3*g(o) - 40*h(o). Factor q(p).
5*(p + 3)*(p + 12)
Factor -179629*x**3 - 3*x**5 + 179233*x**3 - 498*x - 960*x**2 - 60*x**4 - 270*x.
-3*x*(x + 2)**2*(x + 8)**2
Factor 30/7*g**3 - 15/7 - 33/7*g + 3*g**4 + 3/7*g**5 - 6/7*g**2.
3*(g - 1)*(g + 1)**3*(g + 5)/7
Let h(o) be the first derivative of 5*o**4 + 0*o - 8*o**2 - 7 - 32/3*o**3. Factor h(z).
4*z*(z - 2)*(5*z + 2)
Let z be (24/28)/(7/(-98)*-46). Factor -2/23*w**4 + 0*w**3 - 16/23*w + 12/23*w**2 + z.
-2*(w - 1)**3*(w + 3)/23
Let c(f) be the third derivative of -f**7/840 + f**6/240 + 17*f**4/24 - 31*f**2. Let n(x) be the second derivative of c(x). Factor n(m).
-3*m*(m - 1)
Let z(h) be the first derivative of h**4/6 + 20*h**3/9 - 13*h**2/3 - 44*h/3 + 216. Factor z(p).
2*(p - 2)*(p + 1)*(p + 11)/3
Let p(d) be the third derivative of d**5/20 - 7*d**4/12 + 4*d**3/3 + 7*d**2 + d. Factor p(n).
(n - 4)*(3*n - 2)
Let c = 696 + -693. Let p(i) be the first derivative of -1/9*i**3 + c - 1/3*i**2 + 0*i. Solve p(g) = 0 for g.
-2, 0
Let w(a) = 12*a + 44. Let x be w(-9). Let k = 193/3 + x. Factor 0 - 2/3*h - k*h**2.
-h*(h + 2)/3
Factor 106/11*w**2 - 4*w + 0 + 10/11*w**3.
2*w*(w + 11)*(5*w - 2)/11
Let l(i) be the second derivative of 1/360*i**5 + 0*i**3 + 9*i + 0