= 15167/9 + -1675. Suppose 0 = -5*a - 4 + 24. Factor -2/9*n + 4/9 - 68/9*n**a - f*n**3 - 16/3*n**2 - 2*n**5.
-2*(n + 1)**4*(9*n - 2)/9
Let t(q) = 2*q**2 + 7*q. Let f(w) be the third derivative of -w**5/60 - w**4/8 - w**2. Let k(z) = -9*f(z) - 4*t(z). Factor k(a).
a*(a - 1)
Let q(d) = -d**2 - d. Let g = 2 + 1. Suppose -5*n - 2*h - 6 = -h, -g*n + h = 2. Let f(i) = -i**2 + 1. Let p(m) = n*q(m) + 2*f(m). Solve p(k) = 0 for k.
-1, 2
Suppose -5*c + 2 - 7 = 0, -2*y = c + 7. Let o be (-2)/y*2/2. Let -32/3*z**2 - 4*z**4 - 4/3 - 28/3*z**3 - 6*z - o*z**5 = 0. What is z?
-2, -1
Let x = 4213/14721 + -1/2103. Factor x - 4/7*k + 2/7*k**2.
2*(k - 1)**2/7
Let d(p) = 3*p**3 - 5*p**2 + p + 13. Let z(t) = t**2 + t + 1. Let u = -16 - -20. Let c(s) = u*z(s) - d(s). What is j in c(j) = 0?
-1, 1, 3
Let o = 277/4 + -69. Find k such that 1/4*k + o*k**2 + 0 = 0.
-1, 0
Let n = -6 + 3. Let s be ((3 + n)/1)/1. Factor s + 2/5*y - 2/5*y**2.
-2*y*(y - 1)/5
Let z(l) be the third derivative of -l**5/30 + l**4/12 + 2*l**3/3 - 2*l**2. Find w such that z(w) = 0.
-1, 2
Let 2/7*s**2 - 4/7*s + 2/7 = 0. Calculate s.
1
Let o(t) be the third derivative of t**8/1344 - t**7/280 + t**6/160 - t**5/240 - 3*t**2. Factor o(f).
f**2*(f - 1)**3/4
Let a(h) = 3*h**4 - 5*h**3 - 11*h**2 + 0*h**4 - 5*h - h**3 - 5*h**3. Let d(r) = -r**4 + 4*r**3 + 4*r**2 + 2*r. Let w(q) = -3*a(q) - 8*d(q). Factor w(c).
-c*(c - 1)**2*(c + 1)
Suppose -1 = 3*i - 10. Let 2*b**i - 5*b - 4*b**2 - 4*b**3 + 0*b + 3*b = 0. What is b?
-1, 0
Let i(r) be the second derivative of r**7/840 - r**4/12 + 5*r. Let c(h) be the third derivative of i(h). Suppose c(a) = 0. Calculate a.
0
Let m(b) be the third derivative of 2*b**2 - 1/40*b**6 + 0 + 0*b - 1/2*b**3 - 3/20*b**5 - 3/8*b**4. What is t in m(t) = 0?
-1
Let j be (4/(-5))/((-2)/5). Let c(p) be the second derivative of -1/24*p**4 - 1/40*p**5 + 0*p**3 - j*p + 0*p**2 + 0. Find x, given that c(x) = 0.
-1, 0
Suppose i + i + 4*m = 64, 2*i + 3*m - 64 = 0. Let o be 6/(-8)*i/(-60). Let -1/5 - o*a - 1/5*a**2 = 0. What is a?
-1
Factor 13*y + 10 + 7*y + 2 - 9*y**2 - 8*y.
-3*(y - 2)*(3*y + 2)
Let v(o) = -15*o**2 + 30*o + 21. Let h(l) = -1 + 3 - 6*l + 3*l**2 - 6. Let y(f) = -21*h(f) - 4*v(f). Factor y(p).
-3*p*(p - 2)
Let b(z) = -z**2 - z + 2. Let x be b(0). Suppose m - x = -0*m. Solve t - 3*t - m*t**2 + 0*t**2 = 0.
-1, 0
Let l(n) be the third derivative of -n**6/30 + n**5/5 - n**4/2 + 2*n**3/3 - 3*n**2. Factor l(w).
-4*(w - 1)**3
Factor 5/3 - 5/3*n**2 + 1/3*n - 1/3*n**3.
-(n - 1)*(n + 1)*(n + 5)/3
Let d(f) = -f**2 - 6*f + 9. Let h be d(-7). What is g in g**h + 0 + 1/2*g**5 - g**4 + 0*g**3 - 1/2*g = 0?
-1, 0, 1
Let t(x) be the first derivative of -29*x**3 + 4 + 2*x + x**2 - x + 28*x**3. Let t(a) = 0. What is a?
-1/3, 1
Let l(m) be the third derivative of m**7/2100 - m**6/450 + m**5/300 + m**3/2 + 2*m**2. Let c(t) be the first derivative of l(t). Factor c(o).
2*o*(o - 1)**2/5
Suppose -3*t + 4 + 5 = 0. Suppose -3*j = z - 7 - t, -2*z = -5*j + 13. Let 0 + 0*n**2 + 0*n - 6/5*n**j - 3/5*n**4 = 0. What is n?
-2, 0
Let k be 4/(3 - 5) - -4. Suppose -u**k - 7*u**2 - 2*u + 0*u**2 + 10*u**2 = 0. What is u?
0, 1
Factor 24/5*z - 4*z**2 + 2/5*z**3 + 144/5.
2*(z - 6)**2*(z + 2)/5
Let z(x) be the second derivative of -x**8/7840 - x**7/4410 + x**6/840 + x**5/210 - x**4/6 - 5*x. Let i(p) be the third derivative of z(p). Factor i(m).
-2*(m - 1)*(m + 1)*(3*m + 2)/7
Suppose -3*c = 5*r - 4 + 23, -8 = c + 2*r. Suppose -6 = 3*i, 0*h + 2 = c*h - i. Determine v so that 0 - v**4 + 1/3*v**5 + h*v + v**3 - 1/3*v**2 = 0.
0, 1
Suppose 2*i - 8/3 + 4/3*i**3 + 6*i**2 = 0. Calculate i.
-4, -1, 1/2
Let i(h) = 15*h**2 + 8*h. Suppose 2*a - 12 + 0 = 0. Let u(b) = 8*b**2 + 4*b. Let s = -6 + -5. Let t(o) = a*i(o) + s*u(o). Solve t(d) = 0 for d.
-2, 0
Factor 0*g + 6/11*g**4 - 2/11*g**5 + 0 - 8/11*g**2 + 0*g**3.
-2*g**2*(g - 2)**2*(g + 1)/11
Solve 4/13 + 10/13*p + 8/13*p**2 + 2/13*p**3 = 0.
-2, -1
Let f(i) = i - 1. Let a = 5 - 2. Let j be f(a). Factor j*n**3 + 6 + 3*n**2 + 0*n**3 + 2 - 9*n**2.
2*(n - 2)**2*(n + 1)
Let z = 49 - 47. Suppose -1/2*b**4 + 2*b**3 + 1/2*b**z + 0*b + 0 - 2*b**5 = 0. Calculate b.
-1, -1/4, 0, 1
Let o(a) be the second derivative of a**5/20 + a**4/2 + 3*a**3/2 + 2*a. Factor o(m).
m*(m + 3)**2
Suppose 3*t = v + v - 8, -4*v + 2*t = -16. Suppose -6 + 14 = v*s. Factor -2*g**3 - 2*g**s + 0*g**3 + g**3 - g.
-g*(g + 1)**2
Suppose 2*q = 4*x - 3*q - 137, -3*q = 2*x - 41. Let c be (8/x)/((-9)/(-21)). Let -10/9*k - 4/9 - c*k**2 = 0. What is k?
-1, -2/3
Let g(o) be the third derivative of o**9/15120 + o**8/3360 - o**7/2520 - o**6/360 - o**4/12 + 8*o**2. Let j(t) be the second derivative of g(t). Factor j(k).
k*(k - 1)*(k + 1)*(k + 2)
Let b(g) be the third derivative of g**8/672 + g**7/180 + g**6/180 - g**4/24 - 3*g**2. Let z(l) be the second derivative of b(l). Solve z(s) = 0 for s.
-1, -2/5, 0
Let j be (-85)/(-51)*(0 + 1/5). Factor -j*h + 0 + 1/3*h**2.
h*(h - 1)/3
Let k(s) be the first derivative of s**6/24 - 3*s**4/16 - s**3/6 - 16. Factor k(q).
q**2*(q - 2)*(q + 1)**2/4
Let x(u) be the second derivative of 0*u**2 + 0 + 1/6*u**3 - 5/24*u**4 - 1/60*u**6 + 1/10*u**5 - 4*u. Factor x(j).
-j*(j - 2)*(j - 1)**2/2
Let l(t) be the first derivative of -2*t**5/15 - t**4 - 16*t**3/9 + 2*t**2 + 6*t - 5. Let l(q) = 0. What is q?
-3, -1, 1
Let h(x) be the second derivative of -x**4/42 - x**3/21 + 6*x**2/7 + 23*x. Find y such that h(y) = 0.
-3, 2
Let q(b) = -b**5 + b**3 - b**2 + b - 1. Suppose u = -1 - 4. Let h(w) = -2*w**5 - 6*w**4 + 8*w**3 - 5*w**2 + 5*w - 5. Let f(x) = u*q(x) + h(x). Factor f(r).
3*r**3*(r - 1)**2
Suppose 29*f - 26 = 32. Find s, given that -11/2*s**f - 9/4*s**3 + 2 + 9/4*s**4 + s = 0.
-1, -2/3, 2/3, 2
Let d be (-4)/8 - 155/(-30). Factor d*p**4 + 2/3*p + 10/3*p**2 + 0 + 4/3*p**5 + 6*p**3.
2*p*(p + 1)**3*(2*p + 1)/3
Let u be 2/((-4)/(-18)) + -1. Determine s so that -s**5 - 3*s**4 + 5*s**5 + u*s**2 - 5*s**4 - 4*s = 0.
-1, 0, 1
Let x(g) be the second derivative of -1/2*g**2 + 0 - 2*g - 1/12*g**4 + 1/3*g**3. Suppose x(j) = 0. Calculate j.
1
Let x(i) = i**5 - i**4 + i**2 - i + 1. Let c(o) = -2*o**5 + o**4 + 5*o**3 - o**2 - 3*o + 2. Let a(f) = -2*c(f) + 4*x(f). Find s such that a(s) = 0.
-1, -1/4, 0, 1
Suppose 4*g = 5*g + 6. Let j = 8 + g. Determine m so that -m - m**j - 1/3 - 1/3*m**3 = 0.
-1
Suppose -6*a = -a. Let j be a + (-4)/(-18) - 0. Determine c so that 0 - 2/9*c - 4/9*c**2 - j*c**3 = 0.
-1, 0
Let n = -113 + 117. Let c(g) be the first derivative of -4/3*g + 13/3*g**2 + n - 46/9*g**3 + 2*g**4. Solve c(z) = 0.
1/4, 2/3, 1
Let l(i) be the first derivative of i**6/18 - 2*i**5/15 + i**4/12 + 5. Determine t so that l(t) = 0.
0, 1
Let h = -4869/13 - -375. Determine t so that 0*t + h*t**5 + 0 + 16/13*t**4 + 14/13*t**3 + 4/13*t**2 = 0.
-1, -2/3, 0
Let t(j) be the third derivative of -j**6/60 + j**4/4 + 2*j**3/3 - j**2. Solve t(y) = 0 for y.
-1, 2
Let q(p) = 2*p**2 + 51*p - 21. Let y be q(-26). Let c(j) be the second derivative of 0*j**2 + 0 + 1/10*j**y + 0*j**3 + 4*j - 1/21*j**4. Factor c(n).
2*n**2*(7*n - 2)/7
Let l(z) be the first derivative of -z**3/3 - z**2 + 10. Find k, given that l(k) = 0.
-2, 0
Let v(d) = 2*d**3 - d**2. Let n be v(-1). Let o(x) = -x**4 + x + 1. Let p(l) = -2*l**4 + 7*l**3 - 5*l**2 - 1. Let b(h) = n*p(h) - 3*o(h). Factor b(i).
3*i*(i - 1)**2*(3*i - 1)
Let p(f) = f - 2. Let z be (-1)/(2 + 9/(-4)). Let b be p(z). Factor 0*y**2 + y**2 + y**2 + b*y.
2*y*(y + 1)
Factor 3*v**4 - 19*v**2 + 6*v + 0 + 0 + 10*v**2.
3*v*(v - 1)**2*(v + 2)
Let d be -5 - 0/1 - -17. Factor -38*a**3 - 64/3*a**4 + 0 + 0*a - d*a**2 - 10/3*a**5.
-2*a**2*(a + 3)**2*(5*a + 2)/3
Let f(d) be the second derivative of d + 5/48*d**4 + 1/20*d**5 + 0 + 0*d**2 + 1/12*d**3 + 1/120*d**6. Factor f(q).
q*(q + 1)**2*(q + 2)/4
Let d(c) be the first derivative of -c**4 + 3 - 4*c - 1 + 2*c**3 - 3 + 3*c**2. Factor d(j).
-2*(j - 2)*(j + 1)*(2*j - 1)
Let p(n) be the third derivative of -n**8/1176 - 4*n**7/735 - n**6/140 + 2*n**5/105 + n**4/21 - 12*n**2. Find w, given that p(w) = 0.
-2, -1, 0, 1
Let f = 6 + 2. Factor -9*j**2 - j - j - 7*j**2 - f*j**3 + 6*j**2.
-2*j*(j + 1)*(4*j + 1)
Suppose -3*m + g + g = 2, 5*g = m - 21. Let u be 4/(-24)*(m - -2). Factor 0*a + 0 + u*a**2.
a**2/3
Let j = 26 - 25. Let w = 1 + j. Determine r, given that -r - 1/4*r**w - 1 = 0.
-