 5*x + 2. Let z(k) = -k - 1. Let c(j) = p(j) + 5*z(j). Factor c(d).
-2*d**2
Let g(t) be the third derivative of t**6/180 - t**5/18 + t**4/18 + 8*t**3/9 - 27*t**2. Factor g(w).
2*(w - 4)*(w - 2)*(w + 1)/3
Let r(b) be the second derivative of 1/100*b**5 + 1/75*b**6 + 0 + 0*b**2 + 0*b**4 + 0*b**3 - b + 1/210*b**7. Suppose r(l) = 0. Calculate l.
-1, 0
Let d be 1 + (-8)/5 + (-5 - -6). Factor 0 + d*c**2 + 1/5*c**3 + 1/5*c.
c*(c + 1)**2/5
Let f be 1 + (-1 - 2) + 1. Let m be 2 + (32/20)/f. Let -2/5*x**2 + 0*x + m = 0. What is x?
-1, 1
Let b(p) be the third derivative of -p**6/180 - p**5/90 - p**2. Let b(o) = 0. Calculate o.
-1, 0
Let d(v) be the third derivative of v**8/224 - v**7/70 + v**6/80 + 4*v**2. Factor d(p).
3*p**3*(p - 1)**2/2
Suppose 20 = -2*s + 12*s. Factor -x + 0 - 1/2*x**s.
-x*(x + 2)/2
Let z(a) be the third derivative of a**6/960 + 10*a**2. Factor z(n).
n**3/8
Let x be 2/(-6) + (-1105)/(-102). Factor 6 + 24*l + x*l**2.
3*(l + 2)*(7*l + 2)/2
Let o(b) be the third derivative of -b**5/40 + b**4/2 - 3*b**3 - b**2 + 20. Find j, given that o(j) = 0.
2, 6
Let s(a) be the third derivative of -a**5/30 - a**4/12 + 2*a**3/3 - a**2. Find v such that s(v) = 0.
-2, 1
Let t(y) be the first derivative of -2*y**3/3 - 2*y**2 + 6*y + 5. Factor t(n).
-2*(n - 1)*(n + 3)
Let z = -1/75 + 907/525. Suppose 8/7*o**2 - z*o + 2/7 + 12/7*o**3 - 10/7*o**4 = 0. Calculate o.
-1, 1/5, 1
Let p(v) = v + 6. Let x be p(-3). Let k**x - 7*k**3 + 3*k**2 - k - k**5 + k**2 + 0*k**2 + 4*k**4 = 0. What is k?
0, 1
Let h(m) be the third derivative of 4*m**2 + 0*m - 1/30*m**4 - 2/15*m**3 + 1/200*m**6 + 0 + 1/60*m**5. Factor h(u).
(u - 1)*(u + 2)*(3*u + 2)/5
Let i(n) be the first derivative of -n**3/15 + n**2/10 - 6. What is q in i(q) = 0?
0, 1
Let q be 3/(-9)*(-2 + -16). Factor -3*s**3 + 3*s**3 + q*s**3 - 3*s**2 - 3*s**4.
-3*s**2*(s - 1)**2
Suppose 2/3*r - 2*r**2 + 2*r**3 - 2/3*r**4 + 0 = 0. What is r?
0, 1
Let w(g) = -2*g**2 + 6*g. Let j(d) be the first derivative of d**3/3 + d - 5. Let a(x) = 4*j(x) + w(x). Find c, given that a(c) = 0.
-2, -1
Suppose 4*s + 2 + 2 = 0. Let u be (4/(-60))/(s/6). Determine m so that -u*m**4 + 0 - 2/5*m**3 + 2/5*m**2 + 2/5*m = 0.
-1, 0, 1
Let h be 0 + (6/(-8))/(-3). Let z = 19 + -19. Factor h*p**2 + 0 + z*p - 1/4*p**5 + 1/4*p**3 - 1/4*p**4.
-p**2*(p - 1)*(p + 1)**2/4
Determine j so that 4*j**2 - 8*j**3 - 4*j**3 + 10*j**3 = 0.
0, 2
Let m(w) be the second derivative of -w**6/1440 - w**5/240 - w**4/96 - 7*w**3/6 - 6*w. Let v(d) be the second derivative of m(d). Let v(a) = 0. What is a?
-1
Let w be ((-115)/(-25) - 4)/3. Factor 0*b**2 + w*b**3 - 1/5*b + 0.
b*(b - 1)*(b + 1)/5
Suppose -z - 5 = -2*n + 2*z, -n + 2 = -2*z. Suppose n*b - 3*x - 23 = 0, -3*b + 4*x + 13 = -13. Let -2*p**2 - p**2 + 4*p**2 + 0*p**b = 0. What is p?
0
Let q = 15 + -11. Factor -c**3 - c**3 + 0*c + q*c**2 - c - c.
-2*c*(c - 1)**2
What is r in 15/4*r**2 + 9/4 - 21/4*r - 3/4*r**3 = 0?
1, 3
Suppose 0 = -5*c + 4*t + 910, 3*t - 546 = -3*c - 27. Let j = 1254/7 - c. Let -4/7*k**2 - j*k**4 + 0 + 2*k**3 - 2/7*k = 0. What is k?
-1/4, 0, 1
Let d(w) be the first derivative of 9*w**5/20 - w**4/2 - w**3/2 + w - 5. Let q(b) be the first derivative of d(b). Determine f, given that q(f) = 0.
-1/3, 0, 1
Let q(m) = -m**2 - m - 1. Let j(b) = -b**2 - 7*b + 8. Let w be j(-6). Let h(c) = 8*c**2 + 5*c + 8. Let x(l) = w*q(l) + 2*h(l). Solve x(v) = 0 for v.
1
Suppose 3*j - 8 = 37. Suppose 3*f - 8*f = -j. Suppose -2/7*t + 0 + 2/7*t**4 + 6/7*t**2 - 6/7*t**f = 0. What is t?
0, 1
Let g(w) be the second derivative of 1/10*w**6 - 1/6*w**4 + 1/10*w**5 + 0 + 2*w - 1/2*w**2 - 1/2*w**3 + 1/42*w**7. Factor g(r).
(r - 1)*(r + 1)**4
Let g(b) be the first derivative of -7 + 0*b - 1/20*b**4 - 1/15*b**3 + 1/25*b**5 + 1/10*b**2. Factor g(s).
s*(s - 1)**2*(s + 1)/5
Let a(w) be the first derivative of -2*w**3/21 - 4*w**2/7 - 6*w/7 + 3. Find b, given that a(b) = 0.
-3, -1
Let u(q) = -6*q - 232. Let o be u(-39). Determine h so that -3/4*h**o - 3*h - 3 = 0.
-2
Let u be 36 + -2 - (-20)/(-10). Let m = u - 32. Determine r, given that -3/2*r**3 - 3/2*r**5 + 0 + 3*r**4 + 0*r**2 + m*r = 0.
0, 1
Let l = 24 - 24. Let w(p) be the first derivative of l*p**3 + 1/5*p**5 + 3 - 2/3*p**2 + 0*p + 7/12*p**4. Solve w(d) = 0 for d.
-2, -1, 0, 2/3
Let s(g) be the second derivative of -g**7/126 - g**6/45 + g**4/18 + g**3/18 + 17*g. Factor s(u).
-u*(u - 1)*(u + 1)**3/3
Let p be 44/16 + 2/8. Suppose 2*q = -0*j + j - 9, 3*j - p*q - 18 = 0. Factor -1/2*z + 0 + 0*z**2 + 1/2*z**j.
z*(z - 1)*(z + 1)/2
Let b(g) = -g**5 + 24*g**4 - 52*g**3 + 51*g**2 - 16*g. Let m(q) = 8*q**5 - 168*q**4 + 364*q**3 - 356*q**2 + 112*q. Let f(y) = 20*b(y) + 3*m(y). Factor f(s).
4*s*(s - 2)**2*(s - 1)**2
Factor -3*x**2 - x**3 - x**2 - 2*x - 2 - 3*x.
-(x + 1)**2*(x + 2)
Let r = -253 + 253. Factor -1/6*l**2 - 1/6*l**5 + 0 + 1/6*l**4 + r*l + 1/6*l**3.
-l**2*(l - 1)**2*(l + 1)/6
Let r(g) be the first derivative of g**5/70 + g**4/42 + g - 1. Let t(v) be the first derivative of r(v). Find x such that t(x) = 0.
-1, 0
Let z = 49 - 146/3. Factor -2/3*k - 1/3*k**2 + z*k**3 + 0.
k*(k - 2)*(k + 1)/3
Let i(j) be the second derivative of j**5 - 245*j**4/12 + 130*j**3 - 90*j**2 + j - 20. Solve i(o) = 0.
1/4, 6
Let w(a) be the second derivative of a**9/63 + a**8/210 - a**7/168 - a**6/360 - 4*a**3/3 + 3*a. Let j(g) be the second derivative of w(g). Solve j(l) = 0.
-1/4, 0, 1/3
Let 4*y**3 - 4*y**4 + y**5 + 16*y**2 + 4 + 4*y**4 - 3*y**5 - 4*y**4 + 14*y = 0. Calculate y.
-1, 2
Suppose 3*b = -b. Let m(y) be the third derivative of 0*y**3 + 1/120*y**6 + 0*y + b + 1/60*y**5 + 2*y**2 + 0*y**4. Solve m(k) = 0.
-1, 0
Let x(v) be the third derivative of -1/60*v**5 + 1/48*v**4 + 0*v**3 + 0 + 4*v**2 + 1/240*v**6 + 0*v. Factor x(f).
f*(f - 1)**2/2
Let d be (132/135)/((-3)/(-18)). Let p = d + -26/5. Solve 0*c + 0 - p*c**2 = 0 for c.
0
Let f(j) be the second derivative of j**8/1680 - j**7/840 - j**6/720 + j**4/3 - 7*j. Let z(u) be the third derivative of f(u). Find r, given that z(r) = 0.
-1/4, 0, 1
Suppose 3*b + 3 - 9 = 0. Determine l so that 2/3*l - l**b + 1/3*l**3 + 0 = 0.
0, 1, 2
Let y = -13/119 - -3092/1071. Let r(q) be the first derivative of -10/3*q**2 - 4/3*q + 3 - y*q**3. Factor r(v).
-(5*v + 2)**2/3
Let c be 1 + 4 - (7 + -2). Factor -2/7*w**3 + 2/7*w + c*w**2 + 0.
-2*w*(w - 1)*(w + 1)/7
Let z(b) be the third derivative of -b**6/40 + b**5/5 - b**4/2 + 29*b**2. Suppose z(m) = 0. Calculate m.
0, 2
Let w(t) be the second derivative of 0*t**4 + 0*t**3 + t - 1/70*t**5 + 0*t**2 + 0. Let w(g) = 0. Calculate g.
0
Let x be ((-1392)/165)/(-4) + -2. Let b = 4/55 + x. Solve b - 2/11*r**2 + 0*r = 0 for r.
-1, 1
Let d(x) be the third derivative of -5/72*x**4 + 0 - 1/360*x**6 - 1/9*x**3 - 1/45*x**5 + 0*x + 2*x**2. Suppose d(i) = 0. Calculate i.
-2, -1
Let g be 2/(-3)*3 - 1. Let v be (-4)/(-1)*(5 + g). Factor -3 + v*w**5 + 30*w**3 - 14*w**2 + 3 - 20*w**4 - 6*w**4 + 2*w.
2*w*(w - 1)**3*(4*w - 1)
Let r(s) be the first derivative of -s**4/60 - 2*s**3/15 - 2*s**2/5 + 4*s - 4. Let v(i) be the first derivative of r(i). Factor v(g).
-(g + 2)**2/5
Let y(v) = -v - 3. Let t be y(-5). Let r be -93*(-2)/45 + (-14)/105. Find n such that -2*n**3 - r*n**t - 7*n + 5*n + 0*n = 0.
-1, 0
Let m be 13/(975/(-10))*5/(-4). Let d(n) be the first derivative of -3 + 0*n**3 - 1/3*n - 1/3*n**2 + m*n**4 + 1/15*n**5. Factor d(f).
(f - 1)*(f + 1)**3/3
Let l(u) be the first derivative of u**6/240 - 3*u**5/80 - u**3 - 2. Let o(q) be the third derivative of l(q). Factor o(c).
3*c*(c - 3)/2
Let t(d) be the first derivative of 2*d**2 - 4/15*d**5 + 1 + 1/12*d**6 + 0*d - 1/3*d**4 + 0*d**3. Let v(s) be the second derivative of t(s). Solve v(b) = 0.
-2/5, 0, 2
Let x = -7 - -11. Suppose -3*o + 6 = 5*p, x*p + 0 = o - 2. Factor z**2 + 0*z**3 + 2*z**3 + 0*z**3 - o*z - z**3.
z*(z - 1)*(z + 2)
Factor s + s + s - s + s**2.
s*(s + 2)
Let i = -43/20 + 12/5. Find d such that -1/4*d**2 + 0 - i*d = 0.
-1, 0
Let p be (11 - 1897/175)/((-4)/(-10)). Determine d so that 9/5*d**4 - 9/5*d**2 + 0 - p*d + 2/5*d**3 = 0.
-1, -2/9, 0, 1
Let t(y) = 6*y**5 + 24*y**4 + 21*y**3 - 3*y**2 - 3. Let u(z) = -7*z**5 - 24*z**4 - 20*z**3 + 2*z**2 + z + 2. Let r(b) = 2*t(b) + 3*u(b). Solve r(m) = 0.
-1, 0, 1/3
Suppose -5*u + 8 = -u. Let q(p) be the second derivative of 0*p**3 + 0*p**u + 1/6*p**4