, 2/9, 1
Let r = 800/19 + -10324/247. Find o such that -r*o**3 + 8/13 - 2/13*o**4 + 6/13*o**2 + 16/13*o = 0.
-2, -1, 2
Let f = -196672/15 - -13112. Find s such that f - 2/15*s**2 + 0*s = 0.
-2, 2
Let j be 27/18 + (-18)/(-4). Factor j + 9*i + 3/4*i**3 + 9/2*i**2.
3*(i + 2)**3/4
Let g(r) be the first derivative of -3*r**5/5 - 63*r**4/4 + 96*r**3 - 150*r**2 - 62. What is w in g(w) = 0?
-25, 0, 2
Let c(m) be the first derivative of -m**5/30 - 5*m**4/24 - m**3/3 + 121. Factor c(l).
-l**2*(l + 2)*(l + 3)/6
Factor -7*r + 52/5 - 1/5*r**3 - 16/5*r**2.
-(r - 1)*(r + 4)*(r + 13)/5
Let w(f) be the second derivative of -f**7/5670 - f**6/324 + 13*f**4/4 + 31*f. Let l(b) be the third derivative of w(b). Let l(j) = 0. What is j?
-5, 0
Factor 159271 + 21*f**3 - 159367 - 3*f**4 + 2*f**4 + 72*f**2 + 4*f.
-(f - 24)*(f - 1)*(f + 2)**2
Let k be (-2 - -5) + (-134 - 0). Let l = 140 + k. Factor -6*x**4 - 27/2*x**3 + 0 - l*x**2 - 3/2*x.
-3*x*(x + 1)**2*(4*x + 1)/2
Suppose -5*q = -2*f + 6, 4*q + 2*f + 8 = 14. What is t in 6/13*t**3 - 2/13*t**4 - 8/13*t + q + 0*t**2 = 0?
-1, 0, 2
Let n(u) be the second derivative of u**5/8 - 11*u**4/24 + 7*u**3/12 - u**2/4 + 44*u. Factor n(l).
(l - 1)**2*(5*l - 1)/2
Suppose -89 = -100*a + 209 + 2. Factor 2/9*p**2 + 0 + 0*p - 4/9*p**a + 2/9*p**4.
2*p**2*(p - 1)**2/9
Let b(f) be the third derivative of f**7/105 - f**6/3 + 3*f**2 + 16. Factor b(w).
2*w**3*(w - 20)
Suppose 80736/5*g - 696/5*g**2 - 3121792/5 + 2/5*g**3 = 0. What is g?
116
Let s(n) be the second derivative of n**4/3 + 32*n**3/3 + 30*n**2 - 3*n + 3. Let s(p) = 0. What is p?
-15, -1
Factor -256/19*q + 0 - 960/19*q**2 - 12*q**3 - 14/19*q**4.
-2*q*(q + 8)**2*(7*q + 2)/19
Let n(t) be the third derivative of 0 - 13*t**2 + 0*t + 0*t**3 + 0*t**4 - 1/120*t**6 + 1/90*t**5 - 1/126*t**7. Determine c, given that n(c) = 0.
-1, 0, 2/5
Let f(a) be the first derivative of a**4/18 - 2*a**3/27 - a**2 + 2*a + 37. Suppose f(n) = 0. Calculate n.
-3, 1, 3
Suppose 5*q + 5 - 15 = 0. Determine r so that 310*r - r**q + 6*r**2 + 125 - 260*r = 0.
-5
Let l = 23 - 20. Let z(g) be the third derivative of -g**2 - 5/6*g**l + 80/21*g**8 + 0 - 32/3*g**7 + 38/3*g**6 - 25/3*g**5 + 0*g + 10/3*g**4. Solve z(n) = 0.
1/4, 1/2
Let p(a) be the first derivative of -21 - 20*a + 5/4*a**4 - 10*a**2 + 5/3*a**3. Factor p(y).
5*(y - 2)*(y + 1)*(y + 2)
Let f = 52 + -47. Factor -11*l**3 - 6*l - 12*l - 4*l**4 - f*l**2 + 20*l.
-l*(l + 1)*(l + 2)*(4*l - 1)
Let p(n) be the second derivative of n**5/30 - n**4/3 + 8*n**3/9 + 307*n. Factor p(y).
2*y*(y - 4)*(y - 2)/3
Let c(h) = -6*h**2 - 88*h - 496. Let y(a) = 2*a**2 + 30*a + 165. Let j(w) = -3*c(w) - 10*y(w). Find u such that j(u) = 0.
-9
Suppose -9*v + 15 = -6*v. Determine r so that -15 + 4*r**2 - v*r**4 + r**2 + 10*r**2 - 25 + 20*r**3 - 50*r = 0.
-1, 2, 4
Let l(m) be the second derivative of 4/5*m**2 + 0 + 27*m - 1/30*m**4 + 1/50*m**5 - 4/15*m**3. Find g, given that l(g) = 0.
-2, 1, 2
Let a(d) = d**3 + 2*d**2 - d - 2. Let j(w) = 9*w**3 + 16*w**2 - 27*w + 2. Let y(u) = -14*a(u) + 2*j(u). Factor y(o).
4*(o - 2)*(o - 1)*(o + 4)
Suppose 0 = -5*f - 3*z + 29, 2*f + 3*z - 5 = 3. Suppose -4*b + 3*m + 11 = 0, -3*b + 6*m = 5*m - f. Factor 1/3*c + 1/6*c**3 + 0 + 1/2*c**b.
c*(c + 1)*(c + 2)/6
Suppose 31 = 5*r - 4*g, 3*g = -2*r - 1 - 5. Let o be r - (2 + (-4)/2). Find u, given that 15*u**2 - 3*u - 6*u - 6*u**2 - 3*u**3 + 0*u + o = 0.
1
Let j(v) = -2*v**4 - 26*v**3 + 11*v**2 + 8*v + 9. Let u(m) = -m**4 - 12*m**3 + 5*m**2 + 4*m + 4. Let k(o) = 4*j(o) - 9*u(o). Let k(t) = 0. Calculate t.
-4, -1, 0, 1
Let j be 0/((-20)/(-5)) + (-92)/(-2). Let a = j + -46. Solve 0 + a*w**3 + 2/3*w - 2/3*w**5 + 4/3*w**2 - 4/3*w**4 = 0.
-1, 0, 1
Let n(o) be the first derivative of -o**7/98 + 3*o**5/70 - o**3/14 - 23*o + 8. Let g(f) be the first derivative of n(f). Let g(k) = 0. What is k?
-1, 0, 1
Suppose -t - 1 = -l, -2 = 5*t - 2*l - 6. Factor 4*w**2 + 16*w - 12*w**2 - 16*w**2 + 0*w**2 + 12*w**3 - t*w**4.
-2*w*(w - 2)**3
Let d(r) be the first derivative of -5*r**3/3 + 20*r**2 + 100*r + 1. Let d(t) = 0. What is t?
-2, 10
Let t(i) be the second derivative of 4/7*i**2 + 14*i - i**4 + 43/35*i**5 - 2/5*i**6 - 2/7*i**3 + 0. Let t(j) = 0. What is j?
-2/7, 1/3, 1
Factor -4*g**2 - 68/3*g - 88/3.
-4*(g + 2)*(3*g + 11)/3
Let 0 + 177/5*s**3 + 41/5*s**2 - 341/5*s**4 + 121/5*s**5 + 2/5*s = 0. Calculate s.
-1/11, 0, 1, 2
Let s(b) = -b + 1 + 5*b + b**2 - 5*b. Let u = 784 + -783. Let c(f) = -f**3 - 2*f**2 + 5*f - 4. Let x(r) = u*c(r) + 2*s(r). Solve x(v) = 0 for v.
-2, 1
Let y(f) be the second derivative of -5/27*f**3 + 1/54*f**4 + 2/3*f**2 - 12*f + 0. Factor y(l).
2*(l - 3)*(l - 2)/9
Let z(j) be the first derivative of -j**6/450 + j**5/75 + 6*j**3 - 24. Let n(i) be the third derivative of z(i). Find l, given that n(l) = 0.
0, 2
Let f = -16 - -18. Let n(s) = 0*s**3 - s + s**3 + s**f + 5 - 11. Let u(z) = 3. Let t(k) = 3*n(k) + 5*u(k). Solve t(l) = 0.
-1, 1
Let l(j) be the first derivative of 0*j + 4/3*j**3 - 4*j**2 + 35. Factor l(k).
4*k*(k - 2)
Let c(i) = -9*i**3 - 35*i**2 - 73*i - 37. Let m(a) = -a**3 + a**2 - a - 1. Let p(h) = c(h) - 5*m(h). Factor p(k).
-4*(k + 1)**2*(k + 8)
Let t(g) be the second derivative of -g**3/6 + 7*g**2/2 - 2*g. Let a be t(5). Factor 19 - 15 - a*n + 2*n**2 + 8*n.
2*(n + 1)*(n + 2)
Solve -3*i**3 + 8*i - 6 + 6*i**3 - 17*i = 0 for i.
-1, 2
Let t(y) = y**2 - y + 1. Let h(m) = -3*m**2 + 92*m + 89. Let q(z) = 2*h(z) + 4*t(z). Factor q(k).
-2*(k - 91)*(k + 1)
Suppose g - 16 = -0. Let k = -10 + g. Solve k*c - c**2 + c - 8*c = 0.
-1, 0
Let a(i) be the third derivative of -12*i**2 - 1/60*i**5 + 0*i + 1/24*i**4 + 0 + 0*i**3. Factor a(g).
-g*(g - 1)
Factor -45/2 + 15/2*h**4 + 5/6*h**5 - 45/2*h + 15*h**2 + 65/3*h**3.
5*(h - 1)*(h + 1)*(h + 3)**3/6
Let d(c) be the first derivative of 0*c**2 - 3/20*c**5 + 1/4*c**4 + 1/2*c**3 - 3*c - 1/10*c**6 - 2. Let q(k) be the first derivative of d(k). Factor q(f).
-3*f*(f - 1)*(f + 1)**2
Let i be 2*(-6)/(-4)*1. Factor r**2 + i - 1 + 0*r - 4 + r.
(r - 1)*(r + 2)
Factor 3/5*z**3 - 6/5 + 6/5*z**2 - 3/5*z.
3*(z - 1)*(z + 1)*(z + 2)/5
Let h(l) be the first derivative of -64/3*l - 16/3*l**2 - 7 - 4/9*l**3. Determine w so that h(w) = 0.
-4
Let h(a) be the third derivative of -17/6*a**4 + 0 - 7/30*a**6 + 0*a - 2/105*a**7 + 11*a**2 - 4*a**3 - 17/15*a**5. Let h(s) = 0. What is s?
-3, -2, -1
Let k(c) be the first derivative of -c**4/4 - 10*c**3/3 - 4*c**2 + 14*c - 19. Let m be k(-9). Factor 0*w**4 + 1/3*w + 0*w**2 + 0 + 1/3*w**m - 2/3*w**3.
w*(w - 1)**2*(w + 1)**2/3
Let n(u) be the third derivative of -1/8*u**6 + 0 + 0*u**3 + 12*u**2 + 0*u - 1/14*u**7 - 5/336*u**8 + 0*u**4 - 1/12*u**5. What is z in n(z) = 0?
-1, 0
Let b(t) be the third derivative of -t**6/450 - t**5/50 - 35*t**3/6 - 24*t**2. Let l(f) be the first derivative of b(f). Find x, given that l(x) = 0.
-3, 0
Let p = -3/26 + 61/78. Suppose 0*f + 0*f**2 + 0*f**4 + p*f**5 - 2/3*f**3 + 0 = 0. Calculate f.
-1, 0, 1
Let d be (-7)/14 + (0 - -1). Suppose 76*v - 87*v + 11 = 0. Factor d*s**2 + v + 3/2*s.
(s + 1)*(s + 2)/2
Suppose 4*v - 2*v = 8. Suppose -9*y + v = -7*y. Determine l, given that 0 + 2 - 2*l**2 + 5*l**2 - 5*l - l**4 - l**3 + y*l**3 = 0.
-2, 1
Find a, given that 6/5*a**3 + 0 - 18/5*a**2 + 12/5*a = 0.
0, 1, 2
Let q(m) be the first derivative of -m**5/20 + m**4/8 + m**3/4 - m**2 + m + 129. Factor q(v).
-(v - 2)*(v - 1)**2*(v + 2)/4
Let n = 42733 - 42729. Find r, given that -3/4*r - r**3 - 15/2*r**n - 9/4*r**5 + 7/2*r**2 + 0 = 0.
-3, -1, 0, 1/3
Let k(g) = 47*g**3 + 11*g**2 + 68*g + 90. Let s(i) = 8*i**3 - i - 1. Let x(z) = 5*k(z) - 30*s(z). Factor x(v).
-5*(v - 16)*(v + 2)*(v + 3)
Factor 816 - 434 - 4*r**2 - 418 - 24*r.
-4*(r + 3)**2
Let f be (-23)/7590*-22*(-9)/(-3). Suppose f*v + 0 + 1/5*v**2 = 0. What is v?
-1, 0
Let t(m) be the second derivative of 1/2*m**4 - 14*m - 3/20*m**5 + 0 - 1/2*m**3 + 0*m**2. Factor t(o).
-3*o*(o - 1)**2
Suppose 0 = -17*s + 20*s - 1077. Let w = s - 3227/9. Find z such that 2/9 + 4/9*z**3 + 2/9*z**4 - 2/9*z - 2/9*z**5 - w*z**2 = 0.
-1, 1
Solve 0*j**2 + 16*j + j**2 + 40 - 63 + 38 = 0.
-15, -1
Let i(g) = 23*g**2 + 2*g - 1. Let n(x) = -3*x**2. Let h(y) = -13*y - 3. Let a be h(-1). Suppose -5*o + a = -5. Let v(u) = o*i(u) + 24*n(u). Factor v(z).
-3*(z - 1)**2
Suppose 3*u = 3*d + 24, d - 5*d = -2*u + 24. Let h