 0 - 4/3*p**t.
-p*(p + 1)*(3*p - 1)**3/6
Let k = 77 - 384/5. Let q(o) be the second derivative of -2*o**3 + 9/20*o**5 + 0*o**2 + 0 - o**4 - 3*o - 1/14*o**7 + k*o**6. Factor q(f).
-3*f*(f - 2)**2*(f + 1)**2
Suppose -5*o - 3*j = 3 + 3, -3*j = -4*o + 6. Let g(n) be the first derivative of 1 + o*n - 1/5*n**2 - 1/15*n**3. Suppose g(p) = 0. What is p?
-2, 0
Suppose -15 = -5*a - 0. Suppose -a*y**3 + 0*y + 50 - 44 + 9*y = 0. What is y?
-1, 2
Let f(y) be the third derivative of -y**6/360 - y**5/12 - 2*y**4/3 + 32*y**3/9 - 10*y**2 - 2*y. Solve f(z) = 0 for z.
-8, 1
Let h = -3 + 4. Suppose q = h + 8. Factor 0*k**4 - 2*k**5 - k**4 - q*k**4 - 20*k**3 - 10*k - 2 - 20*k**2.
-2*(k + 1)**5
Suppose 5*m + 287 = -4*i, 5*i + 0 = -3*m - 180. Let s be 2/(-4) + m/(-22). Suppose 3*t - s*t - 3*t**2 + 0*t - 4*t = 0. What is t?
-1, 0
Let w = -6 - -9. Factor 3*p**5 - 14*p - 2*p**w - 4*p**3 + 17*p.
3*p*(p - 1)**2*(p + 1)**2
Let n(u) be the second derivative of 9*u - 1/39*u**3 + 0 + 2/13*u**2 - 1/78*u**4. Factor n(f).
-2*(f - 1)*(f + 2)/13
Let y(p) = -p**2 + p. Let o(m) = 1. Let h(q) = -7. Let j(w) = 3*h(w) + 15*o(w). Let l(r) = -j(r) + 3*y(r). Factor l(b).
-3*(b - 2)*(b + 1)
Let i(c) be the third derivative of 0 + 0*c - 1/105*c**7 - 1/60*c**6 - 1/90*c**5 - 3*c**2 - 1/504*c**8 + 0*c**3 + 0*c**4. Solve i(f) = 0 for f.
-1, 0
Let m = 4 + -2. What is i in 0*i + 0 - 1/5*i**3 + 2/5*i**m = 0?
0, 2
Let k(n) be the first derivative of -2*n**5/25 - 8*n**4/5 - 64*n**3/5 - 256*n**2/5 - 512*n/5 + 21. Factor k(t).
-2*(t + 4)**4/5
Let t = 8 + -6. Let q = 19 - 15. What is b in 0*b**5 + b**3 + t*b**q - 2*b**3 - b**5 = 0?
0, 1
Let w(f) be the second derivative of -f**6/150 + 7*f**5/100 - 2*f**4/15 - 8*f**3/15 - 23*f. Factor w(i).
-i*(i - 4)**2*(i + 1)/5
Let m be 4/30 - 18/(-27). Let k = m - 2/15. What is j in -k*j**3 + 0*j + 0 + 4/9*j**2 + 2/9*j**4 = 0?
0, 1, 2
Let g(x) be the third derivative of x**8/8960 - x**7/1680 + x**6/720 + x**5/12 - 3*x**2. Let h(k) be the third derivative of g(k). Factor h(m).
(3*m - 2)**2/4
Let v(p) be the first derivative of -p**6 + 8*p**5/5 + 8*p**4 - 32*p**3/3 - 16*p**2 + 11. Suppose v(w) = 0. What is w?
-2, -2/3, 0, 2
Let l(z) be the first derivative of -z**7/4200 + z**5/600 - 4*z**3/3 - 3. Let i(g) be the third derivative of l(g). Factor i(f).
-f*(f - 1)*(f + 1)/5
Let n be -2 + (-21)/(-15) + 1. Let p be (-3)/(-15) - ((-1)/5 - 0). Factor n*d - p*d**3 - 2/5*d**2 + 2/5*d**4 + 0.
2*d*(d - 1)**2*(d + 1)/5
Let d be 4/(-18) - 21664/(-17784). Let y = -16/19 + d. Find o, given that -y*o + 2/13*o**3 + 2/13*o**2 - 2/13 = 0.
-1, 1
Find z, given that 174*z**2 - 474*z**2 - 625*z**4 - 383*z**3 + 1133*z**3 + 40*z = 0.
0, 2/5
Factor 0 - 3/7*m**3 - 6/7*m - 9/7*m**2.
-3*m*(m + 1)*(m + 2)/7
Factor 0*k + 0*k**3 + 2/7*k**2 - 1/7*k**4 - 1/7.
-(k - 1)**2*(k + 1)**2/7
Let y(n) = 4*n**4 + 14*n**3 + 24*n**2 + 18*n + 4. Let b(x) = -x**3 + x. Let h(o) = 2*b(o) - y(o). Factor h(z).
-4*(z + 1)**4
Suppose -2/7*d**2 + 2/7*d - 2/7*d**3 + 2/7 = 0. Calculate d.
-1, 1
Let k(y) be the first derivative of 3*y**5/5 + 6*y**4 + 24*y**3 + 48*y**2 + 48*y - 23. Solve k(n) = 0.
-2
Let d(l) be the third derivative of 2/21*l**3 + 3*l**2 + 0*l**5 + 1/420*l**6 - 1/28*l**4 + 0*l + 0. What is c in d(c) = 0?
-2, 1
Solve 9*d**2 + 2*d**3 + 10 - 4 + d**2 + 16*d + 2 = 0 for d.
-2, -1
Suppose 0 = -6*h + h + 15. Factor -2*n**2 - 3*n + 14*n - h*n - 8.
-2*(n - 2)**2
Let m(f) be the third derivative of -f**6/280 + 3*f**5/70 - 9*f**4/56 + 2*f**3/7 + 11*f**2. Solve m(s) = 0.
1, 4
Find l, given that 57 + 2*l**2 - 31 - 26 = 0.
0
Let a(o) = -15*o**4 - 6*o**3 + 12*o**2 + 12*o + 9. Let y(q) = -14*q**4 - 7*q**3 + 11*q**2 + 12*q + 8. Let u(j) = 5*a(j) - 6*y(j). Factor u(f).
3*(f - 1)*(f + 1)**2*(3*f + 1)
Suppose 4*w + 0 = -16. Let b = 6 + w. Suppose -7*d**2 - d + d**b + 18*d**3 - 3*d = 0. What is d?
-1/3, 0, 2/3
Let u(m) be the second derivative of m**7/21 - 2*m**6/15 + m**4/3 - m**3/3 + 9*m. Factor u(c).
2*c*(c - 1)**3*(c + 1)
Find s such that 1/6*s**2 + s + 3/2 = 0.
-3
Suppose -12 = -0*q + 4*q. Let y = q - -5. Suppose -y - 4 + 5 + f**2 = 0. What is f?
-1, 1
Let q(r) be the first derivative of -1 + 1/6*r**3 + 0*r + 0*r**2. Factor q(l).
l**2/2
Let q(b) be the third derivative of 0*b**3 + 0 + 2/1155*b**7 + 3*b**2 + 0*b**5 + 0*b - 1/660*b**6 - 1/1848*b**8 + 0*b**4. Suppose q(y) = 0. What is y?
0, 1
Let s(v) = -12*v**4 + 2*v**3 + 12*v**2 - 4*v + 2. Let i(q) = q**4 - q**3 - q**2 + 1. Let l(w) = 4*i(w) - 2*s(w). Factor l(t).
4*t*(t - 1)*(t + 1)*(7*t - 2)
Let f(n) be the third derivative of -n**6/40 - 3*n**5/10 - 3*n**4/2 - 4*n**3 + 4*n**2. Let f(j) = 0. Calculate j.
-2
Let n(y) be the second derivative of -y**5/120 - y**4/12 - y**3/4 - 2*y**2 + 2*y. Let c(r) be the first derivative of n(r). Let c(q) = 0. Calculate q.
-3, -1
Let h(b) be the first derivative of -4*b**3/3 - 16*b**2 - 64*b - 5. Solve h(v) = 0.
-4
Let i = -1/43 + 61/774. Let x(z) be the second derivative of 2*z + i*z**4 + 2/3*z**2 + 0 - 1/3*z**3. Determine y, given that x(y) = 0.
1, 2
Let o be 3*5*(-6)/(-45). Solve 8*j**3 + 97*j**2 - 6*j - 97*j**2 - o = 0 for j.
-1/2, 1
Factor 2/5*v + 0 + 2/15*v**2.
2*v*(v + 3)/15
Suppose 0*s**2 + 2/17*s**4 + 0 - 2/17*s**3 + 0*s = 0. What is s?
0, 1
Let q be (-4)/(-7 - (-36)/6). Factor -q*z**2 - 8/3 + 20/3*z.
-4*(z - 1)*(3*z - 2)/3
Let s = -5063/5 - -1013. Solve 2/5*c**2 + s*c - 4/5 = 0.
-2, 1
Let w(p) = 2*p. Let m be w(3). Let l = m - 2. Factor 2/3*f**2 + 2/3*f**l + 0 - 4/3*f**3 + 0*f.
2*f**2*(f - 1)**2/3
Suppose -10 = -2*p - 3*p. Let f(t) be the first derivative of -3/2*t**2 - 12/5*t**5 - 2*t + 7/6*t**6 - t**4 + 14/3*t**3 + p. Factor f(q).
(q - 1)**3*(q + 1)*(7*q + 2)
Let t(p) = 5*p**2 + p + 3. Let a(m) be the second derivative of m**4/3 + m**3/3 + m**2 + 2*m. Let d(o) = -3*a(o) + 2*t(o). Suppose d(v) = 0. Calculate v.
-2, 0
Let d(h) = 5*h**2 - 9*h + 16. Let u(r) = -r**2 + 2*r - 4. Let b(o) = -2*d(o) - 9*u(o). Factor b(c).
-(c - 2)*(c + 2)
Let j(p) be the third derivative of p**10/45360 - p**9/7560 + p**8/3360 - p**7/3780 - p**4/8 + p**2. Let c(g) be the second derivative of j(g). Factor c(d).
2*d**2*(d - 1)**3/3
Let s be 2/16 + 225/120. Suppose -4*u - j = 4*j + 15, 4*u - 2*j = 6. Factor 0 + u*d**s - 2/9*d**4 + 0*d + 2/9*d**3.
-2*d**3*(d - 1)/9
Let r be (-20)/(-9) + (-6)/3. Let 0*q - 2/9*q**4 - 4/9*q**3 - r*q**2 + 0 = 0. What is q?
-1, 0
Solve 3/2*d**4 + 1/3*d**5 - 1/2 + 4/3*d**3 - d**2 - 5/3*d = 0.
-3, -1, -1/2, 1
Let q = 6 + -6. Let k be (1 - (q + -1)) + 2. Suppose -4*h**2 + 6*h**k - 5*h + 5*h + 0*h - 2*h**3 = 0. What is h?
-2/3, 0, 1
What is l in 0*l + 6/5*l**2 - 2/5*l**3 + 0 = 0?
0, 3
Suppose 0 = -2*q + 4*q + 20. Let s be (-7)/q - (-5)/(-25). Determine x, given that -x - 1/2*x**2 - s = 0.
-1
Let h(p) be the third derivative of 0 - 1/630*p**7 - 1/720*p**6 + 1/672*p**8 + 0*p**5 + 0*p**4 + 0*p**3 + 0*p - 2*p**2. Find n, given that h(n) = 0.
-1/3, 0, 1
Let l(u) be the third derivative of u**6/40 + u**5/10 - u**4/8 - u**3 - 7*u**2. Find b, given that l(b) = 0.
-2, -1, 1
Let p(a) be the third derivative of a**6/24 + a**5/6 - 5*a**4/24 - 5*a**3/3 - 9*a**2. Solve p(m) = 0.
-2, -1, 1
Let p(o) = o**3 + 4*o**2 - 6*o - 5. Let s be p(-5). Factor 0*i**3 + i**5 + 2*i**2 - 3*i**3 + s*i**2.
i**2*(i - 1)**2*(i + 2)
Let d(u) = -u**3 - 2*u**2 - 3*u - 2. Let q be d(-2). Suppose 4*w - k + 2 = 0, 7*k = -q*w + 2*k + 10. Factor 2/3*x**3 - 4/3*x**4 + w*x + 0 + 0*x**2 + 2/3*x**5.
2*x**3*(x - 1)**2/3
Suppose 4*j - 12 = 2*j. Let x(p) = p**2 - 7*p + 6. Let a(f) = -2*f**2 + 15*f - 13. Let u(g) = j*a(g) + 13*x(g). Let u(v) = 0. What is v?
0, 1
Suppose r - o - 8 = 0, -2*o - 1 - 3 = 2*r. Suppose 1 = f - r. Suppose -3*l**4 + 2*l**3 + 0*l**3 + 5*l**f = 0. What is l?
-1, 0
Let u(g) be the second derivative of -1/6*g**4 - g + 0 - 1/45*g**6 + 1/9*g**3 + 0*g**2 + 1/10*g**5. Solve u(y) = 0.
0, 1
Let s(u) be the third derivative of -u**6/300 + u**5/75 - u**4/60 + 4*u**2. Find b, given that s(b) = 0.
0, 1
Let k(c) be the third derivative of c**8/1848 - 3*c**7/385 + c**6/22 - 23*c**5/165 + c**4/4 - 3*c**3/11 + 16*c**2. Factor k(f).
2*(f - 3)**2*(f - 1)**3/11
Factor -2/5*i**2 - 2/5*i + 0.
-2*i*(i + 1)/5
Let d(h) be the third derivative of -h**6/300 + h**5/75 - h**4/60 - 11*h**2 + h. Factor d(q).
-2*q*(q - 1)**2/5
Factor 5/3*f**3 + 7/3*f**2 + 1/3*f**4 + f + 0.
f*(f + 1)**2*