- n/15). Factor -1/2*d**3 - q*d**2 + 0*d + 0.
-d**2*(d + 1)/2
Let h(b) be the second derivative of 5/18*b**3 - 18*b + 0 + 1/9*b**4 + 1/60*b**5 + 1/3*b**2. Factor h(q).
(q + 1)**2*(q + 2)/3
Let i be (-4)/(-6) - (-51)/(-85). Let n(r) be the second derivative of 0*r**2 + 4*r - 1/3*r**3 - 1/6*r**4 + i*r**6 + 1/10*r**5 + 0. Factor n(c).
2*c*(c - 1)*(c + 1)**2
Let q(o) be the third derivative of 0 + 16*o**2 - 1/30*o**5 + 0*o + 0*o**3 - 1/3*o**4. Factor q(a).
-2*a*(a + 4)
Let f(y) be the second derivative of y**4/30 - y**3/5 - y - 74. Solve f(k) = 0.
0, 3
Let z(c) be the third derivative of -c**6/960 + 17*c**5/240 - 65*c**4/192 + 2*c**3/3 - 75*c**2. Factor z(x).
-(x - 32)*(x - 1)**2/8
Let q(v) = 3*v**2 + 3*v. Let f(c) = c**2 + c. Let p be (1 + -4)*4/6. Let w = p - -5. Let j(k) = w*q(k) - 7*f(k). Determine y so that j(y) = 0.
-1, 0
Suppose -8 = -3*d + i, -d - i - 4 = 2*i. Let x be (d - 2/4)*2. Factor 3*n + x*n - n**2 - 2 - 7.
-(n - 3)**2
Let u(x) be the second derivative of -3*x**6/50 - 3*x**5/50 + 3*x**4/20 + x**3/5 - 2*x - 105. Let u(f) = 0. Calculate f.
-1, -2/3, 0, 1
Let x(z) be the first derivative of 2*z**5/55 - 7*z**4/11 + 8*z**3/11 + 14*z**2/11 - 26*z/11 + 135. What is i in x(i) = 0?
-1, 1, 13
Suppose 6*q - 3*w = q - 50, q - 3*w = -22. Let r be q/28 - (-1 - (-2)/4). What is h in r*h**5 + 1/4*h**4 + 0 - 1/4*h**3 + 0*h - 1/4*h**2 = 0?
-1, 0, 1
Let z(p) be the third derivative of p**5/20 + 73*p**4/2 + 10658*p**3 + 743*p**2. Factor z(a).
3*(a + 146)**2
Suppose -v + k = -2*k + 12, 3*k = -3*v + 24. Factor -2 + p**v + 3*p - 2*p**2 + 2 - 2*p.
p*(p - 1)**2
Let p(c) be the second derivative of 1/3*c**5 + 1/2*c**4 + 2*c**2 - 4/3*c**3 + 0 + 5*c. Let b(x) be the first derivative of p(x). Factor b(g).
4*(g + 1)*(5*g - 2)
Suppose -6/5*l**3 - 8/15*l**5 - 2/15*l**2 + 0 - 22/15*l**4 + 2/15*l = 0. What is l?
-1, 0, 1/4
Let f(r) be the third derivative of r**7/140 - r**6/80 - r**5/40 + r**4/16 + 2*r**2 + 27. Factor f(t).
3*t*(t - 1)**2*(t + 1)/2
Let i(c) be the second derivative of -8*c**2 - 1/21*c**7 - 5/2*c**5 + 27*c - 8/15*c**6 - 19/3*c**4 - 28/3*c**3 + 0. Factor i(q).
-2*(q + 1)**2*(q + 2)**3
Let k(i) be the first derivative of -5*i**4/4 + 35*i**3 + 5*i**2/2 - 105*i - 226. Factor k(m).
-5*(m - 21)*(m - 1)*(m + 1)
Let o(s) = 5*s**3 - 29*s**2 + 50*s + 3. Let a(x) = -9*x**3 + 57*x**2 - 98*x - 5. Let l(z) = 6*a(z) + 10*o(z). Determine q so that l(q) = 0.
0, 2, 11
Let l(n) be the second derivative of 18*n**2 - 38*n - 13/4*n**4 + 0 + 3/5*n**5 + 2*n**3. Factor l(q).
3*(q - 2)**2*(4*q + 3)
Let u(k) = 120*k**2 - k. Let o(w) = -479*w**2 + 4*w + 1. Let y(q) = 2*o(q) + 9*u(q). Let l be y(1). Let -123 - j**2 + j**4 + l + j**3 - j = 0. What is j?
-1, 0, 1
Let q(y) be the second derivative of y**4/36 + 65*y**3/9 + 4225*y**2/6 - 317*y. Determine s, given that q(s) = 0.
-65
Let v(y) = y**2 - 660*y + 1 + 665*y - 1 - 12. Let a be v(-7). Factor 0 - 1/5*k**a + 1/5*k**3 + 0*k.
k**2*(k - 1)/5
Suppose 2*m - 9 = 23*i - 22*i, 12 = 2*m - 4*i. Find a, given that -1/4*a**m + 0*a - 1/4*a**5 + 0*a**3 + 0 + 0*a**2 = 0.
-1, 0
Let d(w) be the first derivative of -w**8/1680 + w**7/168 - w**6/45 + w**5/30 + 20*w**3/3 - 9. Let j(b) be the third derivative of d(b). Solve j(l) = 0 for l.
0, 1, 2
Let x(j) be the first derivative of -j**6/1800 + j**5/200 - j**4/60 + 8*j**3 + 21. Let r(d) be the third derivative of x(d). Determine b, given that r(b) = 0.
1, 2
Let s(b) = 10*b**3 + 40*b**2 + 65*b + 25. Let p(q) = -9*q**3 - 40*q**2 - 65*q - 26. Let k(j) = 5*p(j) + 4*s(j). Solve k(w) = 0 for w.
-6, -1
Let k(b) be the first derivative of -1 - 8/21*b**3 + 32/7*b - 1/7*b**4 + 8/7*b**2. Factor k(r).
-4*(r - 2)*(r + 2)**2/7
Let l be (-2226)/36 - (-2 + (-1 - -2)). Let t = 127/2 + l. What is s in 1/3*s**2 - t*s + 16/3 = 0?
4
Suppose -m + 5*s = 20 + 3, -3*m + 5*s = 19. Let r be (4 - (m - 2)) + 30/(-15). Find d such that -6/5*d**r + 12/5 + 14/5*d = 0.
-2/3, 3
Let q(s) = s + 1. Let z(j) = j**3 + 3*j - 2. Let m be z(2). Let v(l) = -l**2 + 4*l + 5. Let i(r) = m*q(r) - 3*v(r). Factor i(f).
3*(f - 1)*(f + 1)
Suppose -36 = -14*w + 2*w. Suppose -n - 4*n = -15. Factor -o**n - 6*o**2 - 2*o + 4*o**w + 5*o.
3*o*(o - 1)**2
Let k(z) = -z**3 - 14*z**2 - 23*z + 14. Let t be k(-12). Determine g so that 2*g**2 - t*g**5 - g**2 + g**5 + 3*g**4 - 3*g**3 = 0.
0, 1
Suppose 0 = -15*a - 3*a + 7*a + 22. Find v such that -12/19*v + 2/19*v**a + 0 = 0.
0, 6
Let a(m) be the first derivative of 8*m**3 + 17 + m**6 - 4*m**2 + 0*m - 4/5*m**5 - 9/2*m**4. Solve a(v) = 0 for v.
-2, 0, 2/3, 1
Let y be 20/12*(-5 + (-340)/(-50)). Suppose 2/9*q**2 - 2/9*q**y + 0*q + 0 = 0. What is q?
0, 1
Let j(l) = 27*l**5 - 81*l**4 - 123*l**3 - 27*l**2 + 15*l + 9. Let d(w) = -w**4 + 2*w**3 - w**2 - w + 1. Let i(x) = 9*d(x) - j(x). Suppose i(b) = 0. What is b?
-1, -2/3, 0, 1/3, 4
Let n(f) be the third derivative of -5*f**8/336 + f**7/42 + 5*f**6/24 + f**5/4 - 145*f**2. Factor n(y).
-5*y**2*(y - 3)*(y + 1)**2
Let q(s) = 7*s**2 - 16 - 8*s**2 + 17. Let k(r) be the second derivative of -r**5/10 - r**4/2 + r**3/3 + 3*r**2 + 2*r. Let w(m) = -k(m) + 6*q(m). Solve w(x) = 0.
-1, 0, 1
What is r in -18/7 + 52/7*r**2 + 69/7*r + 9/7*r**3 = 0?
-3, 2/9
Let r be (-348)/57 + 6 + (-4)/(-38). Factor 3*v + 3/2*v**4 + r*v**3 - 9/2*v**2 + 0.
3*v*(v - 1)**2*(v + 2)/2
Let l(u) be the third derivative of -u**7/280 + u**6/10 - 51*u**5/80 + 9*u**4/8 + 125*u**2. Solve l(r) = 0 for r.
0, 1, 3, 12
Factor -4/5*b**2 - 4/5*b + 24/5.
-4*(b - 2)*(b + 3)/5
Let d(b) = 4*b**2 + 602*b + 21319. Let i(z) = 60*z**2 + 9024*z + 319784. Let r(o) = 44*d(o) - 3*i(o). Determine l so that r(l) = 0.
-73
Let v be 197/(-30) - (-8)/20 - 3. Let z = v + 19/2. Suppose 1/3*g**3 + 0 + z*g**2 + 0*g = 0. Calculate g.
-1, 0
Let z be (2/(-4))/(2 - (-105)/(-50)). Suppose -6 = -3*f - b, -5*b - 10 = -z*f - 0*b. Factor 2/3*r**3 + 4/3*r + 0 - 2*r**f.
2*r*(r - 2)*(r - 1)/3
Let t(p) = 20*p**4 + 2*p**3 - 9*p**2 - 13*p + 11. Let s(h) = h**4 - h + 1. Suppose -7*c = -8*c - 2. Let r(k) = c*t(k) + 22*s(k). Factor r(m).
-2*m*(m - 1)*(m + 1)*(9*m + 2)
Let h = -1073/3 - -361. Let v(y) be the first derivative of -4/15*y**5 - 1/12*y**4 - 1/18*y**6 + h*y**2 + 1 + 14/9*y**3 + 8/3*y. Find x such that v(x) = 0.
-2, -1, 2
Let o(v) = 55*v - 53. Let x be o(1). Let s(f) be the first derivative of -9/4*f + 6 - 15/8*f**x - 1/16*f**4 - 7/12*f**3. Find i, given that s(i) = 0.
-3, -1
Suppose 0 = -g + 4*g - 126. Let i be (g/(-4))/(8/(-8)). Determine a, given that -49/2*a**4 + 12*a**2 - 2*a - i*a**3 + 0 = 0.
-1, 0, 2/7
Let c(g) = g**2 + 13*g + 34. Let b be c(-17). Let h = -98 + b. Factor 0*r + 1/5*r**h + 0 + 1/5*r**2 - 2/5*r**3.
r**2*(r - 1)**2/5
Suppose 126*w = 110*w + 12 + 20. Find s such that -2*s + 2/5*s**3 + 2/5*s**4 - 4/5 - 6/5*s**w = 0.
-1, 2
Let o be 1 + (0 - -2) - (0 - -1). Let z = 5 - 3. Factor f**3 + 2*f - 8*f + 7*f**o - 4*f**z + 2*f**3.
3*f*(f - 1)*(f + 2)
Let a = 7/12 - 1/4. Let k(i) be the second derivative of a*i**2 + 0 + 3*i - 5/12*i**4 - 1/18*i**3. Factor k(y).
-(3*y - 1)*(5*y + 2)/3
Let i(y) be the first derivative of y**6/2 + 36*y**5/5 - 27*y**4/2 - 324*y**3 + 2187*y**2/2 - 93. Factor i(m).
3*m*(m - 3)**2*(m + 9)**2
Suppose r + 2*r - 15 = 0, 5*i - 5*r = 0. Let a be ((-4)/(-14))/(1935/105 + -18). Suppose -4/3*b**2 - a*b**i + 0 + 0*b**3 + 2/3*b + 4/3*b**4 = 0. What is b?
-1, 0, 1
Suppose -7 = -4*q + 9. Let n(l) = -l**2 - 1. Let v(g) = 3*g**4 - 10*g**3 + 9*g**2 + 4*g - 2. Let h(x) = q*n(x) + 2*v(x). Let h(p) = 0. Calculate p.
-2/3, 1, 2
Let j = -1 + 2. Let l(q) = -3*q**2 - 3*q + 5. Let m(n) be the third derivative of -n**3/6 - 2*n**2 - 11*n. Let y(k) = j*m(k) - l(k). What is d in y(d) = 0?
-2, 1
Let 0 - 13*f - 1/6*f**2 = 0. Calculate f.
-78, 0
Let x(p) be the second derivative of -p**5/180 - p**4/18 + 25*p**3/54 - p**2 + 4*p + 36. Factor x(j).
-(j - 2)*(j - 1)*(j + 9)/9
Let a(v) = -16*v**2 - v**3 - 11*v + 5*v**4 + 0*v**4 - 6 - v**2 + 13. Let z(u) = 2*u**4 - u**3 - 8*u**2 - 5*u + 3. Let h(q) = 6*a(q) - 14*z(q). Factor h(j).
2*j*(j + 1)**2*(j + 2)
Let y = -2075/9 + 231. Let u(c) be the first derivative of 5 + 0*c**3 - y*c - 1/18*c**4 + 1/3*c**2. Factor u(n).
-2*(n - 1)**2*(n + 2)/9
Let h be 1*2/(-24)*224/(-28). Solve -h*t**2 + 8/9*t - 2/9 = 0.
1/3, 1
Suppose 1 = j + 5. Let x(m) = -15*m**2 - 17*m - 16. Let z(a) = 8*a**2 + 8*a + 8. Let k(n) = j