or 2/15*r**u - 4/15*r - 2/5.
2*(r - 3)*(r + 1)/15
Let l be (-6)/24 - (2681/(-420) - -6). Factor 2/15*a**3 - 2/15*a + l*a**2 - 2/15.
2*(a - 1)*(a + 1)**2/15
Let n(d) = 4*d**4 - 4*d**2 + 4*d + 8. Let v(g) = 8*g**4 - 9*g**2 + 7*g + 15. Let x(c) = -7*n(c) + 4*v(c). Factor x(b).
4*(b - 1)**2*(b + 1)**2
Let j(l) be the second derivative of -1/60*l**6 - 3/2*l**2 + 4*l + 0 + 0*l**3 - 1/6*l**4 + 1/10*l**5. Let y(d) be the first derivative of j(d). Factor y(a).
-2*a*(a - 2)*(a - 1)
Let z = -18 + 518. Let 233*p - 5*p**3 + 9*p**3 - 60*p**2 - z + 67*p = 0. Calculate p.
5
Let l = 29161 - 203509/7. Let x = l + -88. Factor 6/7*h + 8/7*h**2 - x.
2*(h + 1)*(4*h - 1)/7
Let w(x) be the second derivative of -1/50*x**6 - 3/50*x**5 + 0*x**2 - 30*x + 0*x**4 + 1/70*x**7 + 0*x**3 + 0. What is d in w(d) = 0?
-1, 0, 2
Let h(w) be the first derivative of -4/5*w**5 - 2/3*w**4 - 7 - 7/2*w**2 + 0*w + 7/30*w**6 + 0*w**3. Let b(c) be the second derivative of h(c). Factor b(i).
4*i*(i - 2)*(7*i + 2)
Let v be ((-324)/(-8) - 2) + (-2)/4. Let o be v/(-6) + 7 + (1 - -1). Factor 4/3*q - 1/6*q**2 - o.
-(q - 4)**2/6
Suppose -f = 4, f + 6 = -3*y + 11. Let m(b) be the first derivative of 0*b - 9/4*b**4 + 0*b**y - 3/5*b**5 + 2 + 6*b**2. Factor m(z).
-3*z*(z - 1)*(z + 2)**2
Let g = -20351 + 20353. Factor 0*w - 4/15*w**g + 0*w**3 + 2/15 + 2/15*w**4.
2*(w - 1)**2*(w + 1)**2/15
Suppose 14 = 5*z - 6. Let -4 - 61*s**2 - 60*s**4 + 182*s**3 + 6*s**z + 38*s - 20*s**3 - 65*s**2 = 0. What is s?
1/3, 2
Let u(c) be the first derivative of c**5/15 + 7*c**4/12 + 4*c**3/3 - 2*c**2/3 - 16*c/3 - 444. Solve u(j) = 0 for j.
-4, -2, 1
Let -3/5*d**3 + 0*d**2 + 0*d**4 + 0 + 0*d + 3/5*d**5 = 0. What is d?
-1, 0, 1
Let a(h) be the third derivative of h**7/315 + 13*h**6/36 + 32*h**5/45 + 2*h**2 - 7*h. Solve a(p) = 0 for p.
-64, -1, 0
Let v be 4*(-10)/(-15)*9/12. Factor 2*z**2 + 6*z - 2 - z**v + 1 + 10.
(z + 3)**2
Let d(m) = m**3 - 2*m**2 - 1. Let i(j) = -2*j**3 + 14*j**2 - 18*j - 50. Let n(p) = 4*d(p) + i(p). Factor n(y).
2*(y - 3)*(y + 3)**2
Suppose 14*c + 385 = 385. Solve -2/17*v + c + 4/17*v**2 - 2/17*v**3 = 0.
0, 1
Let l(p) be the second derivative of -p**5/4 + 20*p**4/3 - 160*p**3/3 + 224*p. Factor l(t).
-5*t*(t - 8)**2
Let g(t) be the second derivative of -1/25*t**6 + 0*t**3 + 1/105*t**7 + 0 - 25*t + 0*t**2 + 0*t**4 + 0*t**5. Factor g(n).
2*n**4*(n - 3)/5
Let q(c) be the third derivative of c**6/24 + 5*c**5/12 + 5*c**4/6 + 72*c**2. Factor q(a).
5*a*(a + 1)*(a + 4)
Let v(c) = -5*c**3 + 28*c**2 + 159*c + 128. Let r(h) = -6*h**3 + 27*h**2 + 159*h + 129. Let m(d) = -2*r(d) + 3*v(d). What is f in m(f) = 0?
-3, -1, 14
Let b(p) be the third derivative of 0*p**3 - 1/600*p**6 + 0 + 30*p**2 + 0*p - 1/75*p**5 + 1/24*p**4. Let b(q) = 0. What is q?
-5, 0, 1
Let f(x) be the second derivative of -x**7/84 - x**6/12 - 7*x**5/40 - x**4/8 + 102*x. Factor f(j).
-j**2*(j + 1)**2*(j + 3)/2
Let v(x) be the second derivative of x**7/147 - x**6/105 - 2*x**5/35 + 2*x**4/21 - x + 54. Let v(h) = 0. What is h?
-2, 0, 1, 2
Let c be (-26)/468 + 388/72. What is z in c*z - 2*z**2 - 8/3 = 0?
2/3, 2
Determine f so that 19*f - 2519*f**4 + 5*f - 8*f**3 + 2523*f**4 - 20*f**2 = 0.
-2, 0, 1, 3
Let q(a) = -15*a + 18. Let m be q(1). Let p(t) be the second derivative of 1/2*t**4 + 0 + 1/2*t**3 - m*t**2 - 3/20*t**5 + 3*t. Factor p(i).
-3*(i - 2)*(i - 1)*(i + 1)
Let d be 118/590*(2 - (-1 + 1)). Let p = -188/35 - -46/7. Factor -p + 8/5*l - d*l**2.
-2*(l - 3)*(l - 1)/5
Let z(o) be the second derivative of -3*o**2 + 0 + 2/3*o**3 + 1/6*o**4 + 47*o. Let z(a) = 0. What is a?
-3, 1
Factor 2/7*n**3 + 0*n + 0 + 12/7*n**2.
2*n**2*(n + 6)/7
Let j = -2 - -3. Let v be 6/(-6)*1/2*-2. Solve -9*d + 3*d**3 + v - 7 + 1 - j = 0.
-1, 2
Let b(g) be the third derivative of 0*g + 11/15*g**6 + 1/28*g**8 - 2/3*g**3 - 6/5*g**5 - 26/105*g**7 - 11*g**2 + 0 + 7/6*g**4. Factor b(d).
4*(d - 1)**4*(3*d - 1)
Let k be 920/483 - (6/(-63) - 0). Let s(g) be the third derivative of -1/210*g**5 + 0*g**3 + 0*g + 0*g**4 + 1/420*g**6 + 0 + g**k. Solve s(x) = 0.
0, 1
Let y be 1*-18*(-39)/6. What is x in x - 39*x**2 - 7*x + y*x**3 - 177*x**3 - 27*x**4 = 0?
-1, -2/9, 0
Let h(m) = m**5 - m**3. Let n(p) = -p**5 + 5*p**5 - 2*p**2 - 4*p**3 + 18*p**4 - 16*p**4. Let z(b) = 3*h(b) - n(b). Let z(d) = 0. What is d?
-2, -1, 0, 1
Let n(r) = -22*r**3 + 16*r**2 + 48*r + 30. Let o(y) = -2*y**3 - y**2 - y. Let d(m) = n(m) - 10*o(m). Determine k, given that d(k) = 0.
-1, 15
Let a(f) be the second derivative of -f**7/840 - f**6/360 - 17*f**3/6 - 20*f. Let t(d) be the second derivative of a(d). Determine i, given that t(i) = 0.
-1, 0
Suppose 0 = 241*f - 228*f. Let u(w) be the second derivative of 0 + 0*w**2 - 2/5*w**5 + 0*w**4 + f*w**6 + 2/21*w**7 + 2/3*w**3 - 8*w. Let u(s) = 0. What is s?
-1, 0, 1
Let r(l) be the second derivative of -1/12*l**4 + 0*l**3 + 0 + 0*l**2 - 7/24*l**7 + 8*l - 2/5*l**5 - 77/120*l**6. Factor r(t).
-t**2*(t + 1)*(7*t + 2)**2/4
Factor -245 - 29*d**2 - 42*d**2 + d**3 - 75 - 240*d - 6*d**3 + 11*d**2.
-5*(d + 4)**3
Let m = 99 + -96. Solve -m*d**2 + 4*d + 10*d - 8*d - 3 = 0 for d.
1
Let l be (-1 - (1 + 9))*-2. Determine s, given that -7*s**3 + 4 + s**2 + 0 - 24*s + l*s**2 + 4*s = 0.
2/7, 1, 2
Let s be (-330)/27 + 12 + 50/63. Suppose 16/7 + 8/7*i - s*i**2 - 2/7*i**3 = 0. What is i?
-2, 2
Let u(c) be the first derivative of -c**4/12 - c**3/9 + c**2/3 + 271. Factor u(k).
-k*(k - 1)*(k + 2)/3
Suppose -2*b + 9 - 11 = 0. Let x be 0*b/4 - -2. What is o in 6*o**2 - 8*o - 2*o**x + 7*o**3 - 4*o**4 + o**3 = 0?
-1, 0, 1, 2
Let a = -943 - -5659/6. Let l(i) be the third derivative of -11*i**2 + 0 + 1/60*i**6 + 1/60*i**5 + 0*i - 1/12*i**4 - a*i**3. Factor l(o).
(o - 1)*(o + 1)*(2*o + 1)
Suppose u + 3*z - 376 = z, 2*z = 4*u - 1474. Let 71*y + 36*y**3 + u*y + 326*y**4 - 328*y**4 - 216*y**2 - 9*y = 0. Calculate y.
0, 6
Let y(n) be the first derivative of 3*n**4/4 + 16*n**3 - 3*n**2/2 - 48*n - 119. Solve y(s) = 0 for s.
-16, -1, 1
Let x(s) be the third derivative of -s**7/490 + s**6/56 - 2*s**5/35 + s**4/14 - 100*s**2. Find l such that x(l) = 0.
0, 1, 2
Let y(k) = 2*k**5 - 6*k**4 + 12*k**3 - 2*k**2. Let z(s) = 2*s**5 - 5*s**4 + 13*s**3 - s**2. Let r(q) = -3*y(q) + 2*z(q). Factor r(u).
-2*u**2*(u - 2)*(u - 1)**2
Let r = 4388/5 - 874. Suppose 2/5*x**4 + 14/5*x + 4/5 + r*x**2 + 2*x**3 = 0. Calculate x.
-2, -1
Let n(p) be the first derivative of -p**7/2940 - p**6/1260 + p**5/210 + 2*p**3/3 - 10. Let r(z) be the third derivative of n(z). Suppose r(k) = 0. Calculate k.
-2, 0, 1
Let l(k) = 4*k**5 - 8*k**4 - 9*k**3 + 8*k**2. Let q(u) = -2*u**5 + 4*u**4 + 4*u**3 - 4*u**2. Let f be 12/(-5) + 2/5. Let z(n) = f*l(n) - 5*q(n). Factor z(c).
2*c**2*(c - 2)*(c - 1)*(c + 1)
Let k be (-57)/(-228)*(-2 - -2). Let m(x) be the second derivative of -9*x + 0*x**2 - x**3 + 1/4*x**4 + 3/20*x**5 + k. Factor m(d).
3*d*(d - 1)*(d + 2)
Let t(n) = -n**5 + n**4 + n - 1. Let v(g) = -5*g**4 + g**3 + 8*g**2 - g - 3. Let f(z) = 3*t(z) - v(z). Solve f(m) = 0.
-1, 0, 2/3, 1, 2
Let b(m) be the first derivative of -3*m - 4 - 2*m**2 - 1/3*m**3. Factor b(z).
-(z + 1)*(z + 3)
Let b(c) be the second derivative of -c**4/6 - 70*c**3/3 - 1225*c**2 - 312*c. Let b(a) = 0. What is a?
-35
Let q(l) = 6*l - 106. Let a be q(18). Find n such that -6/5 - 2/5*n**a + 8/5*n = 0.
1, 3
Factor 5*d + 2*d**2 + 25/8.
(4*d + 5)**2/8
Let d = -188873837/1330 + 142011. Let v = d - -1/266. Determine z, given that v*z**5 + 0 + 0*z**3 + 0*z + 0*z**2 + 3/5*z**4 = 0.
-1, 0
Let f(b) be the third derivative of 3/100*b**5 + 7*b**2 - 1/120*b**6 + 1/15*b**3 + 0*b + 0 - 7/120*b**4 + 1/1050*b**7. Factor f(l).
(l - 2)*(l - 1)**3/5
Suppose 5*x + 2*z = 6, 0*x + 2*z = 4*x - 12. Factor -5*u**x - 2*u**3 + 0*u - u**4 - u**3 + 2*u + 7*u**3.
-u*(u - 2)*(u - 1)**2
Let y be ((-27)/(-6))/3 + (-4167)/(-30). Let p = -140 + y. Determine v so that 4/5*v**2 + p*v**4 - 6/5*v**3 + 0 + 0*v = 0.
0, 1, 2
Let b be 2/(-8)*2*-4. Suppose l - f - 5 = -2*l, -2*f = -b. Factor -1 + 1 + i**3 + 2*i + 3*i**l.
i*(i + 1)*(i + 2)
Suppose 10*w = 2*w + 176. Let x be 40/w + (-30)/(-165). Factor 0*k - 2/3*k**4 + 2/3*k**x + 2/3*k**5 - 2/3*k**3 + 0.
2*k**2*(k - 1)**2*(k + 1)/3
Let x(z) be the second derivative of -3*z + 0 - 1/24*z**4 - 2*z**2 + 1/3*z**3 - 1/60*z**5. Let a(s) be the first derivative of x(s). Factor a(k).
-(k - 1