he first derivative of -b**3/3 - b**2/2 - b + 9. Let m(r) = -4*r**4 + 4*r**3 + 4*r**2 + 4*r + 4. Let x(q) = -m(q) - 4*w(q). Factor x(c).
4*c**3*(c - 1)
Let y be (-2 - -2 - -1) + 3. Suppose 0*j + 2*g - 4 = j, 3*j = -4*g + 28. Factor -2*r**2 + 2*r**j - y*r + 4*r.
2*r**2*(r - 1)*(r + 1)
Suppose -4*r - 21*r - r**2 + 10*r - 2*r**2 = 0. Calculate r.
-5, 0
Let s be 0/4*(-2)/4. Let b(z) be the second derivative of -1/3*z**3 - z + s*z**2 + 0 - 1/6*z**4. Factor b(o).
-2*o*(o + 1)
Let b(k) be the third derivative of -k**8/171360 + k**7/42840 + k**6/3060 - k**5/60 + 9*k**2. Let x(h) be the third derivative of b(h). Let x(a) = 0. What is a?
-1, 2
What is l in 30*l**2 - 1 - 51*l**2 - 6*l + 1 = 0?
-2/7, 0
Let r(c) be the second derivative of -c**7/28 - 3*c**6/20 - 3*c**5/20 + c. Find y, given that r(y) = 0.
-2, -1, 0
Suppose -t - 17*i = -18*i, t + 3*i - 12 = 0. Let 6/5*p**t + 2*p**2 - 2/5 - 6/5*p - 8/5*p**4 = 0. Calculate p.
-1, -1/4, 1
Let k be (-1 - 27/(-21))*14. Suppose 0 = 7*s - k*s, -3*r = -5*s - 12. Solve -1/2*w**3 + 0 + 1/2*w**r + 0*w + 0*w**2 = 0.
0, 1
Let u(v) be the second derivative of 13/105*v**6 + 17/70*v**5 - 1/7*v**2 + 3*v + 4/21*v**4 - 1/42*v**3 + 1/42*v**7 + 0. Factor u(x).
(x + 1)**4*(7*x - 2)/7
Let 1/3*g**4 + 0*g - 4/3*g**3 + 0 + g**2 = 0. Calculate g.
0, 1, 3
Let o be (-1)/(-3) + (-10)/3. Let v be (-1)/2*-4 - o. Determine w, given that 19*w**5 + 4*w**3 + 7*w**v + 23*w**5 - 28*w**4 = 0.
0, 2/7
Let v(c) be the second derivative of -3*c + 1/50*c**5 - 1/15*c**3 + 0*c**4 + 0*c**2 + 0. Factor v(d).
2*d*(d - 1)*(d + 1)/5
Let i be (-2)/(-2)*(0 + 3). Let k be 12/i + 4/(-2). Factor g**2 + 0*g**3 + g**3 + g**4 - g - 2*g**k.
g*(g - 1)*(g + 1)**2
Let x be 0 + -5*(-6)/180. Factor -x*h + 1/6 - 1/6*h**2 + 1/6*h**3.
(h - 1)**2*(h + 1)/6
Let -16*a**4 + 8*a**2 - 3*a**3 + 0*a**3 + 2*a**3 - 12*a**5 + 5*a**3 = 0. Calculate a.
-1, 0, 2/3
Suppose 0 = z - 2*x + 7, -23*x + 18 = z - 20*x. Find q, given that -3/2 + 3/2*q**2 - 3/4*q + 3/4*q**z = 0.
-2, -1, 1
Let x(t) = 2*t - 5. Let h(k) = -3*k + 5. Let v(i) = -3*h(i) - 4*x(i). Let g be v(-5). Suppose j + g*j + 3*j**5 - 2*j**3 - 2*j**5 = 0. What is j?
-1, 0, 1
Let s(p) be the second derivative of -p**6/90 - p**5/20 - p**4/18 + 15*p. Factor s(f).
-f**2*(f + 1)*(f + 2)/3
Let g(o) be the first derivative of -o**7/630 + o**5/180 - o**2/2 + 1. Let z(p) be the second derivative of g(p). Factor z(m).
-m**2*(m - 1)*(m + 1)/3
Let u(s) be the third derivative of -s**6/80 - 7*s**5/120 - 5*s**4/48 - s**3/12 + 8*s**2. Factor u(j).
-(j + 1)**2*(3*j + 1)/2
Let t(o) be the first derivative of -1/3*o**2 + 1/30*o**5 - o + 1/3*o**3 - 1 - 1/6*o**4. Let x(p) be the first derivative of t(p). Factor x(w).
2*(w - 1)**3/3
Let m = 104111/45 - 2315. Let n = -4/45 - m. Solve 2/3*c + 2/3*c**3 - n*c**2 + 0 = 0 for c.
0, 1
Let r(p) = -p**5 + p**4 + 3*p**2. Let h(v) be the first derivative of -2*v**3/3 + 5. Let f(b) = 3*h(b) + 2*r(b). Let f(c) = 0. What is c?
0, 1
Let d be (-3)/(-6)*4*3/15. Suppose 8/5*r + d - 2*r**2 = 0. Calculate r.
-1/5, 1
Let j(x) be the second derivative of x**7/7560 - x**6/1080 - x**4/4 + 2*x. Let d(s) be the third derivative of j(s). Factor d(w).
w*(w - 2)/3
What is z in -8/3*z**2 - 1/3*z**4 - 2*z + 3 + 2*z**3 = 0?
-1, 1, 3
Suppose -3*p - 3*m = -0*m - 39, m = -4*p + 49. Suppose 0 = 2*s + 2*j - p, 0 = 2*s - 0*j - j - 3. Suppose -4*o**2 - 2*o**s - 2*o + o**3 - o**3 = 0. What is o?
-1, 0
Let o = 212523/80 + -2657. Let n = -1/16 - o. Suppose -n*h**5 + 0 + 0*h**2 - 2/5*h + 0*h**4 + 4/5*h**3 = 0. Calculate h.
-1, 0, 1
Let q(d) be the first derivative of -d**4/5 + 28*d**3/15 - 16*d**2/5 - 64*d/5 + 7. Suppose q(x) = 0. Calculate x.
-1, 4
Let x(p) = -6*p**2 - 7*p. Let z(g) = -g**2 - g. Let h(s) = -2*x(s) + 14*z(s). Factor h(w).
-2*w**2
Let n = 602 + -3003/5. Factor -v**3 - 2/5 - 9/5*v**2 - n*v - 1/5*v**4.
-(v + 1)**3*(v + 2)/5
Suppose 5*p - 14 = 11. Suppose -5*o + 20 = 2*h, -5*h = -p - 20. Factor -a**2 - o*a**3 + 2*a - 2*a**3 + 2*a + 1.
-(a - 1)*(a + 1)*(4*a + 1)
Let s(i) be the third derivative of i**8/1512 + 2*i**7/945 - i**6/270 - 4*i**5/135 - 7*i**4/108 - 2*i**3/27 - 3*i**2. Let s(w) = 0. What is w?
-1, 2
Let f(l) = 2*l + 4. Let s be f(-2). Let n(i) be the first derivative of 1/2*i**2 - 1/3*i**3 - 1 + s*i. Solve n(z) = 0.
0, 1
Let d be 24/(-220)*-5*4/3. Solve -d - 2/11*t**2 + 8/11*t = 0.
2
Let s = 17033/12 - 1417. Let q = s + 1/12. Let q*d**4 - d**3 + 0 - 5/2*d**2 + d = 0. What is d?
-1, 0, 2/5, 1
Let f = 2/743 + 1476/3715. Factor 0 - 2/5*c**3 - 3/5*c**4 + f*c + 3/5*c**2.
-c*(c - 1)*(c + 1)*(3*c + 2)/5
Let y(j) be the second derivative of j**7/14 - j**6/2 + 27*j**5/20 - 7*j**4/4 + j**3 + 15*j. Factor y(p).
3*p*(p - 2)*(p - 1)**3
Let z(c) be the second derivative of c**6/5 + 17*c**5/20 + 5*c**4/4 + c**3/2 - c**2/2 - 20*c. Solve z(m) = 0 for m.
-1, 1/6
Let g(n) be the second derivative of n**6/210 + n**5/140 + 8*n. Factor g(z).
z**3*(z + 1)/7
Factor 0 - 2/11*i**4 + 8/11*i**3 + 0*i + 0*i**2.
-2*i**3*(i - 4)/11
Factor 0*m**2 + 0 + 0*m**3 - 3/4*m**5 - 1/4*m**4 + 0*m.
-m**4*(3*m + 1)/4
Let t = 10603/3315 + 1/663. Find w such that 88/5*w - 132/5*w**2 + 2*w**3 - t + 10*w**4 = 0.
-2, 2/5, 1
Let u(h) = 2*h**5 + 6*h**4 + 6*h**3 + 7*h**2 - 5. Let w(g) = g**5 + 3*g**4 + 3*g**3 + 3*g**2 - 2. Let r(l) = 2*u(l) - 5*w(l). Factor r(f).
-f**2*(f + 1)**3
Let 1/2 - 1/4*j - 1/4*j**2 = 0. Calculate j.
-2, 1
Let f = 2 - 13. Let s(y) = 6*y**3 + 26*y**2 - 4*y + 5. Let l(w) = w**3 + 5*w**2 - w + 1. Let g(m) = f*l(m) + 2*s(m). Determine n so that g(n) = 0.
1
Let q be (-559)/(-86) + (-2 - 2). Suppose q*i**2 + 0 - i = 0. What is i?
0, 2/5
Let u(c) be the first derivative of -c**3/9 + c**2/3 - c/3 + 21. What is x in u(x) = 0?
1
Let r(z) be the second derivative of 3*z**5/40 - 5*z. Suppose r(i) = 0. What is i?
0
Let z(x) = -44*x**4 + 36*x**3 + 11*x**2 + 3. Let j(f) = -88*f**4 + 72*f**3 + 21*f**2 + 5. Let d(v) = -3*j(v) + 5*z(v). Factor d(r).
4*r**2*(r - 1)*(11*r + 2)
Let f(p) be the second derivative of p**4/12 - p**3 + 5*p**2/2 - 16*p. Let f(w) = 0. Calculate w.
1, 5
Let y(z) be the first derivative of 0*z - 2 + 2/3*z**3 - 1/2*z**6 - 4/5*z**5 + 0*z**2 + 1/4*z**4. Factor y(a).
-a**2*(a + 1)**2*(3*a - 2)
Let z(i) = -2*i**3 - 15*i**2 + 20*i - 3. Let n(r) = 5*r**3 + 30*r**2 - 40*r + 5. Let o(y) = -3*n(y) - 5*z(y). Let o(g) = 0. What is g?
-4, 0, 1
Let l(y) be the first derivative of y**9/1260 + y**8/600 + y**7/1050 - 5*y**3/3 - 4. Let a(w) be the third derivative of l(w). Let a(s) = 0. What is s?
-2/3, -1/2, 0
Let t(m) = 4*m**3 - 2*m - 2. Let w(g) = -5*g**3 - g**2 + 3*g + 3. Let p(s) = 3*t(s) + 2*w(s). Factor p(i).
2*i**2*(i - 1)
Let y(o) be the third derivative of -1/100*o**5 + 3*o**2 + 0*o + 0 + 0*o**3 + 1/120*o**4. Solve y(x) = 0.
0, 1/3
Let w(p) be the first derivative of -p**8/1848 - 2*p**7/1155 - p**6/660 + 3*p**2 + 5. Let u(r) be the second derivative of w(r). Solve u(j) = 0.
-1, 0
Let b(z) be the second derivative of 3*z**5/80 - z**4/16 + 45*z. Let b(k) = 0. What is k?
0, 1
Suppose 3*o = -3*o. Let p(j) be the first derivative of 0*j - 1/2*j**4 + o*j**2 + 2/3*j**3 + 3 + 1/3*j**6 - 2/5*j**5. Factor p(k).
2*k**2*(k - 1)**2*(k + 1)
Let r(k) be the second derivative of 2*k**7/21 + k**6/15 - 2*k**5/5 - k**4/3 + 2*k**3/3 + k**2 - k. Solve r(x) = 0 for x.
-1, -1/2, 1
Let s(c) be the third derivative of -c**8/2800 + c**7/840 - c**6/900 - c**3/6 + 5*c**2. Let v(a) be the first derivative of s(a). Suppose v(z) = 0. Calculate z.
0, 2/3, 1
Let n = -79/396 - -5/22. Let m(x) be the second derivative of -1/18*x**3 - 3*x + 0 + 1/3*x**2 - n*x**4. Factor m(v).
-(v - 1)*(v + 2)/3
Let w(p) = -1. Let x(t) = 2*t**3 + 2*t**2 - 2*t - 20. Let f(r) = -36*w(r) + 2*x(r). Factor f(d).
4*(d - 1)*(d + 1)**2
Factor 2/7*w**2 + 4/7*w - 2/7*w**4 + 0 - 4/7*w**3.
-2*w*(w - 1)*(w + 1)*(w + 2)/7
Let b(h) = -8*h**3 + 4*h - 10*h**2 + h**3 - h**3 - 6. Let x(r) = -7*r**3 - 9*r**2 + 3*r - 5. Let l(o) = -5*b(o) + 6*x(o). What is d in l(d) = 0?
-1, 0
Suppose 8/3*n + 2/3 + 8/3*n**3 + 4*n**2 + 2/3*n**4 = 0. Calculate n.
-1
Let m(x) be the first derivative of 3*x**2/2 + 3*x - 2. Let g be m(-1). Determine o so that -1/5*o**2 + 1/5*o**4 + 0*o**3 + 0*o + g = 0.
-1, 0, 1
Let f(i) = -7*i**4 + 6*i**3 + 11*i**2 - 15*i - 13. Let w(t) = 3*t**4 - 3*t**3 - 5*t**2 + 7*t + 6. Let n(d) = -4*f(d) - 9*w(d). Suppose n