 = 0.
-7, 1/4, 1
Suppose -12*z**3 - 19*z**2 + 5/2 - 9/2*z = 0. Calculate z.
-1, -5/6, 1/4
Suppose -10*h = 31 - 71. Let m(g) be the first derivative of 0*g**2 - 2/25*g**5 + 0*g**3 - 2 + 1/5*g**h + 0*g. Solve m(n) = 0.
0, 2
Let i(s) be the second derivative of 2/21*s**4 - 10*s + 2/7*s**2 + 1/70*s**5 + 0 + 5/21*s**3. Suppose i(f) = 0. Calculate f.
-2, -1
Let x(p) be the third derivative of 5*p**8/336 + 2*p**7/21 - p**6/24 - 4*p**5/3 - 5*p**4/2 + p**2 + 3*p. Determine o, given that x(o) = 0.
-3, -2, -1, 0, 2
Factor -13/3*l**2 + 0 - 4/3*l + 4/3*l**3 + 7/12*l**4.
l*(l - 2)*(l + 4)*(7*l + 2)/12
Suppose 0 = -2*j - 10 + 16. Suppose j*w + 3*t - 18 = 0, -12 = -5*t + 2*t. Let 0 + 4/7*z**w + 0*z + 2/7*z**3 = 0. What is z?
-2, 0
Suppose 4*r - 7*n - 43 = 0, -2*n + 4*n = -10. Factor -27/5*s**3 + 3*s + 3/5 + 9/5*s**r.
-3*(s - 1)*(3*s + 1)**2/5
Let b(q) be the third derivative of -7*q**6/120 - 7*q**5/60 + 7*q**2. Let m(w) = 6*w**3 + 6*w**2. Let i(f) = -2*b(f) - 3*m(f). Let i(d) = 0. Calculate d.
-1, 0
Let b be 4 - ((-3)/(-2))/(18/24). Factor b*w**4 + 101 + 12*w**5 - 101.
2*w**4*(6*w + 1)
Let q(p) be the first derivative of 2*p**3/9 + p**2/3 - 34. Let q(a) = 0. Calculate a.
-1, 0
Let u = -2 + -1. Let h(t) = -t**3 - 2*t**2 + 2*t + 4. Let s be h(u). Factor 3*f**2 - 3 + s*f + 7 - 12*f**2 - 2.
-(f - 1)*(9*f + 2)
Let m = 32 - 26. Let z be 1 - m - (-897)/161. Solve 2/7 - z*j + 2/7*j**2 = 0.
1
Let n(w) be the first derivative of -3*w**4/4 + 3*w**3 + 6*w**2 - 36*w + 300. Factor n(g).
-3*(g - 3)*(g - 2)*(g + 2)
Let z = 39 + -49. Let l be (-6)/(-5)*z/(-18)*3. Suppose -2/5 + 3/5*t - 1/5*t**l = 0. Calculate t.
1, 2
Factor 10/3*d + 4 - 2/3*d**3 - 4/3*d**2.
-2*(d - 2)*(d + 1)*(d + 3)/3
Let w(g) be the third derivative of 5/3*g**3 - 20*g**2 + 0 + 1/4*g**5 + 1/24*g**6 - 1/42*g**7 - 25/24*g**4 + 0*g. What is u in w(u) = 0?
-2, 1
Find r such that -128/3*r - 64/3 + 26/3*r**3 + 16/3*r**4 + 2/3*r**5 - 52/3*r**2 = 0.
-4, -1, 2
Let w(s) be the second derivative of s**6/420 + s**5/70 + 11*s**2/2 + 14*s. Let g(i) be the first derivative of w(i). Suppose g(q) = 0. Calculate q.
-3, 0
Let c(x) be the first derivative of 3*x**5/5 - 3*x**4/4 - 7*x**3 + 3*x**2/2 + 18*x + 56. Solve c(v) = 0 for v.
-2, -1, 1, 3
Suppose -2/19*f**2 + 392/19*f + 394/19 = 0. Calculate f.
-1, 197
Let b(y) be the first derivative of -6/25*y**5 + 0*y**3 - 1/10*y**6 + 0*y + 4 + 0*y**2 - 3/20*y**4. Factor b(w).
-3*w**3*(w + 1)**2/5
Suppose 2*b - 17 = -3*c, -2*c - 3*b + 4 = -9. Determine g, given that -4*g**5 + 0*g**5 + 9*g**5 - 10*g**4 + 0*g**c - 15*g**3 = 0.
-1, 0, 3
Let t = 4388 + -13163/3. Factor 0*u + 0*u**2 + 0 + t*u**3 - 7/6*u**5 - 5/6*u**4.
-u**3*(u + 1)*(7*u - 2)/6
Let x(h) be the third derivative of 0*h - 2/15*h**3 - 3/20*h**4 - 1/840*h**8 - 7/150*h**6 - 8/75*h**5 + 0 - 26*h**2 - 2/175*h**7. Factor x(d).
-2*(d + 1)**4*(d + 2)/5
Let c be (0 + -2)/(825/(-154) + 5). Suppose -2*w + 2 + 2 = 0. Factor -4*j + c*j**w - 8/5.
4*(j - 1)*(7*j + 2)/5
Suppose 2*z = -3*z. Suppose 0 = -2*m - 15*n + 12*n - 5, -4*n - 10 = m. Factor -3/5*d**3 + 3/5*d + z + 3/5*d**m - 3/5*d**4.
-3*d*(d - 1)*(d + 1)**2/5
Let c(m) be the second derivative of 0*m**3 + 1/3*m**4 + 0*m**2 - 3/10*m**5 + 0 + 17*m + 1/15*m**6. Factor c(v).
2*v**2*(v - 2)*(v - 1)
Let t(z) be the third derivative of 0 + 0*z**3 + 1/90*z**5 - 1/9*z**4 + 0*z - 2*z**2. Suppose t(h) = 0. Calculate h.
0, 4
Let f(b) = b**3 - b - 1. Let s(u) be the second derivative of -u**5/10 + u**4/6 - 2*u**3/3 + 7*u**2/2 - 21*u. Let r(m) = 12*f(m) + 4*s(m). Factor r(a).
4*(a - 1)**2*(a + 4)
Let j(i) be the second derivative of 10*i - 1/5*i**3 + 21/50*i**5 - 2/5*i**2 + 1/3*i**4 + 2/15*i**6 + 0. What is c in j(c) = 0?
-1, -1/2, 2/5
Suppose -38/3*o**3 + 16*o**2 - 16/3 + 2/3*o + 4/3*o**4 = 0. What is o?
-1/2, 1, 8
Let c(a) be the first derivative of 0*a**2 + 2/3*a**3 + 0*a + 9 - 2/5*a**5 - 1/3*a**6 + 1/2*a**4. Determine i so that c(i) = 0.
-1, 0, 1
Let s(a) be the second derivative of -a**6/120 + a**5/40 + a**4/4 + 11*a**3/6 - 7*a. Let b(l) be the second derivative of s(l). Factor b(r).
-3*(r - 2)*(r + 1)
Let m = 57/805 + -2/483. Let h(a) be the third derivative of 0*a**3 + 0*a + 0 + 3*a**2 + 1/60*a**6 + 1/12*a**4 - m*a**5. Determine c, given that h(c) = 0.
0, 1
Let w(k) be the second derivative of 0 + 1/10*k**2 - 1/210*k**7 - 1/30*k**4 - 9*k + 1/50*k**5 + 1/150*k**6 - 1/30*k**3. Determine o so that w(o) = 0.
-1, 1
What is p in -508/9*p**3 + 62/9*p**4 - 2/9*p**5 + 170/3*p + 388/9*p**2 - 50 = 0?
-1, 1, 15
Suppose o + 5 = 0, 2*t - o - 25 = 4*o. Suppose 2*r = -5*z + 1, -3*r + 1 + 4 = 4*z. Find a such that 0*a**r - 1/5*a**4 + t*a**2 + 0*a - 1/5*a**5 + 0 = 0.
-1, 0
Let 1/6*h**5 - 243/2 + 27/2*h + 29*h**3 + 23/6*h**4 + 75*h**2 = 0. Calculate h.
-9, -3, 1
Let 34*f + 17*f**2 - 2*f**2 + 6 - 3 + 12 + 44*f = 0. What is f?
-5, -1/5
Let v(f) be the second derivative of -f**6/6 + 13*f**5/4 + 25*f**4/4 - 65*f**3/6 - 35*f**2 - 275*f. Factor v(s).
-5*(s - 14)*(s - 1)*(s + 1)**2
Suppose -3*t = -104 - 385. Let g = 659/4 - t. Factor 0 - 1/2*v**2 - 1/4*v - v**4 + g*v**3.
-v*(v - 1)**2*(4*v + 1)/4
Let y(j) be the second derivative of 7*j**6/15 + 127*j**5/20 + 31*j**4/3 + 16*j**3/3 + 2*j - 351. Determine c, given that y(c) = 0.
-8, -4/7, -1/2, 0
Let g be 60/(-200) - 23/(-10). Solve -2 + 19/3*w + 7/3*w**g = 0 for w.
-3, 2/7
Let w(t) be the first derivative of t**6/60 - 23*t**5/60 - 2*t**4/3 + 41*t**3/3 + 41. Let z(d) be the third derivative of w(d). Find i, given that z(i) = 0.
-1/3, 8
Let g(x) be the second derivative of x**4/32 - x**3/8 + 20*x + 3. Find b, given that g(b) = 0.
0, 2
Let t(m) be the third derivative of m**8/504 + m**7/140 + m**6/120 + m**5/360 + 2*m**2 - 25*m. Factor t(g).
g**2*(g + 1)**2*(4*g + 1)/6
Suppose -p + 5*p = 68. Suppose 4*w - 17 + p = 0. Factor w - 2/7*c - 5/7*c**2 - 3/7*c**3.
-c*(c + 1)*(3*c + 2)/7
Solve -21886 - k**2 + 5224 + 272*k - 1834 = 0.
136
Let d(z) be the first derivative of -35*z**6/36 + 2*z**5 - 5*z**4/8 - 5*z**3/9 - 42. Factor d(j).
-5*j**2*(j - 1)**2*(7*j + 2)/6
Suppose 29*g + 48 = 35*g. Let d be (2 - (-2 + 0)) + g/(-2). Factor 2/5*y**2 - 2/5 + d*y.
2*(y - 1)*(y + 1)/5
Factor -2*h**2 + 0 + 3/2*h**3 + 1/2*h.
h*(h - 1)*(3*h - 1)/2
Let w(n) be the second derivative of -n**5/210 - n**4/126 + 2*n**3/63 - 45*n. Factor w(k).
-2*k*(k - 1)*(k + 2)/21
Let z(l) = l**3 + 11*l**2 - 27*l - 8. Let f be z(-13). Suppose f*n = 4*q - 4, -n - 3*q = -5 + 2. Suppose 1/7*m**3 + n*m + 0 + 0*m**2 - 1/7*m**4 = 0. What is m?
0, 1
Let j(h) = h**2 + 2*h - 1. Let y be j(-2). Let k(l) = -7*l**3 - l - 1. Let f be k(y). Factor 12*m - 13*m**2 - 4 - 2*m**4 + m**4 + f*m**3 - m**3.
-(m - 2)**2*(m - 1)**2
Factor 0*o + 0 + 0*o**2 + 14/3*o**3 - 2/3*o**4.
-2*o**3*(o - 7)/3
Let l(h) be the first derivative of -h**6/15 - 3*h**5/10 + 4*h**3/3 - 13*h + 10. Let k(d) be the first derivative of l(d). Factor k(j).
-2*j*(j - 1)*(j + 2)**2
Let i(k) = k**5 + k**4 - k**3 - k**2 + 2*k - 2. Let a(z) = -38*z**4 + 3 - 3*z**5 + 37*z**4 + 2 - 4*z + 2*z**3 + z**2. Let h(s) = -6*a(s) - 15*i(s). Factor h(c).
3*c*(c - 2)*(c - 1)**2*(c + 1)
Let g(d) = d**2 + d. Let f(q) = 12*q**2 - 129*q + 264. Let x(h) = -f(h) + 9*g(h). Find o such that x(o) = 0.
2, 44
Let 9/2*p - 1/2*p**2 - 4 = 0. What is p?
1, 8
Let l(g) be the third derivative of -1/840*g**7 + 22*g**2 + 0 + 0*g + 5/96*g**4 + 1/1344*g**8 - 1/120*g**5 + 1/8*g**3 - 1/80*g**6. Solve l(n) = 0 for n.
-1, 1, 3
Let g = 6426 + -6424. Factor 2/7*v**g - 2/7*v**3 - 2/7*v**4 + 0 + 2/7*v.
-2*v*(v - 1)*(v + 1)**2/7
Let v(w) = -22*w + 465. Let r be v(21). Determine t so that 2/5*t - 7/5*t**5 - 3*t**r + 1/5*t**2 + 19/5*t**4 + 0 = 0.
-2/7, 0, 1
Suppose 0 = -w + 3, 5*y - 4*w - 76 = 2. Let a be ((-3)/(-2))/(9/y). Let 5*z**4 + 4*z - 11*z**4 + 0*z**4 - a*z**3 + 5*z**4 = 0. Calculate z.
-2, 0, 1
Let r(t) = -10*t - 187. Let u be r(-19). Factor -2/3*s**u + 0*s**2 + 0 + 0*s - 1/3*s**4.
-s**3*(s + 2)/3
Let b be 3/(-4)*3/(-6). Let q(s) be the first derivative of 3/20*s**5 + b*s**2 - 10 + 0*s - 3/16*s**4 - 1/4*s**3. Let q(v) = 0. What is v?
-1, 0, 1
Factor -6 + 6 - 300*m**3 + 308*m**3 + 71*m**2 - 27*m**2 + 56*m.
4*m*(m + 2)*(2*m + 7)
Let y be 9*28/1386*11. Let t be 9/6 - (-2)/4. Let -2/3*q**t - 8/3*q - y = 0. Calculate q.
-3, -1
Let q(y) be the first derivative of -5*y**6/6 - 10*y**5 - 40*y**4 - 160*y**3/3 + 601. 