3/3*l**3 + 1/5*l**5 - 10. Find y, given that h(y) = 0.
-2, -1
Let s(d) = -d**2 + 13*d + 16. Suppose -62 = -7*v + 36. Let o be s(v). Find r, given that -3*r + 9/2 - 3/2*r**o = 0.
-3, 1
Factor 3/5*m**2 + 6*m + 15.
3*(m + 5)**2/5
Solve -2*f**2 - 60 + 0*f**2 - 3*f**2 + f**2 + 64*f = 0 for f.
1, 15
Suppose 3*m - 138 = 2*m. Suppose 142*u = m*u + 12. Factor 2/9*h - 2/9 - 2/9*h**u + 2/9*h**2.
-2*(h - 1)**2*(h + 1)/9
Let h(v) be the first derivative of 1 + 7/8*v**4 + v**2 + 11/6*v**3 + 0*v. Factor h(y).
y*(y + 1)*(7*y + 4)/2
Let i be 549/(-54)*(-2)/8. Let a = i - 15/8. Factor 4/3*h**3 - a*h**5 + 16/3*h**2 + 14/3*h + 4/3 - 4/3*h**4.
-2*(h - 2)*(h + 1)**4/3
Let w be (-7)/((-21)/9) - 2. Suppose t - w = 2. Solve 6*v**2 - 3*v**t + 2*v - 105 + v + 99 = 0 for v.
-1, 1, 2
Suppose 0 = 4*h + 3*x + 33, 28 = -3*h - 0*x + x. Let z be 1 + 4 + 42/h. Determine a so that a**2 + 1/3 + z*a**3 + a = 0.
-1
Let o be (145/116)/(30/48). Solve 8 + 10/3*q**4 - 2*q**3 - 2/3*q**5 + 16/3*q - 26/3*q**o = 0 for q.
-1, 2, 3
Let z(s) be the first derivative of 3/2*s**4 + 3*s + 3 - 3/5*s**5 + 0*s**3 - 3*s**2. Factor z(c).
-3*(c - 1)**3*(c + 1)
Let r be 39/(-36)*54/(-351). Let z(p) be the second derivative of 0*p**3 - 3/20*p**5 + 1/30*p**6 + r*p**4 + 0 + p + 0*p**2. Factor z(b).
b**2*(b - 2)*(b - 1)
Let -8/5*o**3 + 0*o + 18/5*o**2 - 27/5 + 1/5*o**4 = 0. Calculate o.
-1, 3
Let b(h) = -h**2 - 4*h - 3. Let r(j) = -2*j**2 - 7*j - 5. Let m(x) = 5*b(x) - 3*r(x). Let v(k) = -k**2 + k + 2. Let u(d) = 3*m(d) - v(d). Factor u(w).
2*(w + 1)*(2*w - 1)
Let f(o) be the second derivative of -o**4/36 - 5*o**3/18 + 7*o**2/3 + 20*o. Solve f(a) = 0 for a.
-7, 2
Let n = -1257 + 13831/11. Find h, given that -10/11*h**4 + 4/11*h**3 + 0 - n*h + 10/11*h**2 = 0.
-1, 0, 2/5, 1
Factor 5/6*k**4 + 25/6*k - 5/2 - 5*k**3 + 5/3*k**2 + 5/6*k**5.
5*(k - 1)**3*(k + 1)*(k + 3)/6
Suppose -20*b**3 + 10*b + 8 - 107*b**2 + 12*b**4 + 10*b + 87*b**2 = 0. Calculate b.
-1, -1/3, 1, 2
Let f(m) = -m**2. Let z(v) be the first derivative of -2*v**3 - v**2 + 3*v + 27. Let s(i) = 5*f(i) - z(i). Solve s(t) = 0 for t.
-3, 1
Let l = 98/5 + -191/10. Let -1/2 - c - l*c**2 = 0. Calculate c.
-1
Let u(l) be the third derivative of -l**6/600 + l**5/150 - l**4/120 + 49*l**2. Factor u(t).
-t*(t - 1)**2/5
Suppose 692*o + 4*z - 12 = 694*o, 0 = 5*o + 2*z - 6. What is n in 0*n + o - 1/2*n**2 = 0?
0
Let q(r) be the third derivative of -r**8/144 - 19*r**7/630 + 2*r**6/15 + 11*r**5/45 - 2*r**4/9 - 160*r**2. What is g in q(g) = 0?
-4, -1, 0, 2/7, 2
Let i(s) be the second derivative of -2*s**4/3 + 109*s**3/3 - 27*s**2 + 10*s - 1. Determine g so that i(g) = 0.
1/4, 27
Factor 0 - 2/3*r**3 + 2/3*r**2 + 2/3*r - 2/3*r**4.
-2*r*(r - 1)*(r + 1)**2/3
Let v(k) = k**3 + 9*k**2 + 20*k + 15. Let g be v(-6). Suppose 3*w - 4 = 6*w - 5*i, 0 = 3*w + 2*i - 10. Suppose 1/8 + 9*q**g - 5/8*q - 9/4*q**w = 0. Calculate q.
-1/4, 1/6, 1/3
Suppose 86*l - 99*l = 0. Find o, given that -1/6*o**2 - 1/6*o**3 + l + 1/6*o**4 + 1/6*o = 0.
-1, 0, 1
Factor -14/9*q + 4/9 + 8/9*q**2 + 8/9*q**3.
2*(q + 2)*(2*q - 1)**2/9
Let q(h) be the third derivative of -h**7/1260 + h**6/180 - h**5/60 + h**4/36 - h**3/36 - 120*h**2. Factor q(n).
-(n - 1)**4/6
Let f = -987 - -1977/2. Determine g, given that 0*g**2 + 3/2*g - f*g**3 + 0 = 0.
-1, 0, 1
Let z(g) be the third derivative of 0*g**6 - 1/1260*g**7 + 0 + 0*g**4 - 3*g**2 + 0*g**5 + 0*g - 1/2*g**3. Let u(d) be the first derivative of z(d). Factor u(j).
-2*j**3/3
Let v(y) be the first derivative of 3*y**5/5 - 3*y**4/4 - 10*y**3 - 12*y**2 + 155. Factor v(h).
3*h*(h - 4)*(h + 1)*(h + 2)
Let m be ((-2)/6)/((-21)/(-126)). Let b be 15/m*4/(-12). Factor -5*a**2 + 5*a**3 + 5/2*a - 1/2 + 1/2*a**5 - b*a**4.
(a - 1)**5/2
Let t(g) be the second derivative of -g**4/54 + 11*g**3/27 - 10*g**2/9 - 2*g + 59. Suppose t(m) = 0. Calculate m.
1, 10
Let a(r) = -r**2 - 2*r. Let x(v) = -3*v**2 - 5*v. Let y be 4/((-9)/10 + (-12)/(-30)). Let n(u) = y*a(u) + 3*x(u). Solve n(d) = 0.
0, 1
Let n(h) be the first derivative of -h**4/78 + 4*h**3/39 - 3*h**2/13 + 13*h - 18. Let o(d) be the first derivative of n(d). Solve o(r) = 0.
1, 3
Let g(k) = -17*k**3 + 209*k**2 - 2178*k + 7997. Let m(x) = -9*x**3 + 105*x**2 - 1089*x + 3999. Let t(r) = 6*g(r) - 11*m(r). What is q in t(q) = 0?
11
Factor 192 + 1/3*o**2 - 16*o.
(o - 24)**2/3
Suppose 2*k + 20 = 2*m, -4*k - 3*m = -0*m + 12. Let s be (-3 - -1)/(k*1). Solve -s*t**2 + 0 - 1/3*t = 0.
-1, 0
Factor -116*v**3 - 298*v**4 + 23*v**2 - 11*v**2 - 108*v**2 + 270*v**4.
-4*v**2*(v + 3)*(7*v + 8)
Let 3*y - 210*y**2 + 108*y**2 + 105*y**2 = 0. What is y?
-1, 0
Let o = 1466 + -7328/5. What is m in -28/15*m + 2/5*m**4 - 32/15*m**2 - o - 4/15*m**3 = 0?
-1, -1/3, 3
Factor 84*f**3 - 207*f**2 - 5*f**2 + 28*f**4 + 120*f**3 + 44*f**2 - 64*f.
4*f*(f - 1)*(f + 8)*(7*f + 2)
Let h(o) be the first derivative of -1/24*o**3 - 3/8*o**2 - 9/8*o - 17. Factor h(u).
-(u + 3)**2/8
Let i(q) be the first derivative of -q**5/40 + 5*q**4/8 - 37*q**3/24 + 9*q**2/8 + 363. Factor i(h).
-h*(h - 18)*(h - 1)**2/8
Factor -51/5*g**4 - 366/5*g**2 - 63/5 - 3/5*g**5 + 234/5*g**3 + 249/5*g.
-3*(g - 1)**4*(g + 21)/5
Let o(r) be the second derivative of -r**5/70 + 4*r**4/21 + 3*r**3/7 + 121*r. Factor o(f).
-2*f*(f - 9)*(f + 1)/7
Let h(y) be the second derivative of -y**7/105 + 2*y**6/75 + 6*y**5/25 + 7*y**4/15 + y**3/3 - 51*y. Factor h(o).
-2*o*(o - 5)*(o + 1)**3/5
Let k(f) be the third derivative of 3*f**7/490 + 59*f**6/280 + 13*f**5/20 + 17*f**4/56 - 9*f**3/7 - 40*f**2 + 1. What is l in k(l) = 0?
-18, -1, 1/3
Factor 0 + 3/4*x**4 + 0*x + 7/4*x**5 - x**3 + 0*x**2.
x**3*(x + 1)*(7*x - 4)/4
Let u(d) = 11*d - 1. Let k be u(-1). Let x(l) = -l**2 - 12*l + 3. Let g be x(k). Factor p**2 + 3*p**4 - 5*p**4 - 3*p**3 + 4 - g + 3*p.
-(p - 1)*(p + 1)**2*(2*p + 1)
Let n(k) = k**3 + 8*k**2 + 3*k + 2. Let g(t) = -1 - 2*t - 2 - 9*t**2 - t. Let x be (4 - 3)*1 + 2. Let q(r) = x*n(r) + 2*g(r). Factor q(i).
3*i*(i + 1)**2
Suppose 0 = 2*y - i - 23, -5*y - 4*i + 63 = -i. Factor -f + 2 - y*f**2 + 13*f - 6 + 22*f**3 - 18*f**3.
4*(f - 1)**3
Suppose -892*z = -983*z + 182. Factor -2*h**4 + 0 + 31/2*h**3 - 10*h**z - 7/2*h.
-h*(h - 7)*(h - 1)*(4*h + 1)/2
Let z(c) = -c**3 - 7*c**2 + 13*c - 6. Let b be z(-8). Let k = b + 49. Factor -5*n - 2 - 3/2*n**2 + 9/4*n**k.
(n - 2)*(3*n + 2)**2/4
Find r, given that 18*r**2 - 22*r**2 - 5*r**4 + 125*r**3 + 4*r**2 = 0.
0, 25
Let n(x) be the first derivative of -5*x**4/4 - 8*x**3/3 - x**2/2 + 2*x - 72. Factor n(i).
-(i + 1)**2*(5*i - 2)
Let x(v) = -v**3 + 4*v**2 - v + 7. Let j be x(4). Suppose 2*h = p + 5, 17 = -j*h + 7*h + 5*p. Solve -b - 1/3*b**2 - 1/3*b**4 + 2/3 + b**h = 0.
-1, 1, 2
Let v(a) be the third derivative of 3*a**8/112 - 4*a**7/35 - 13*a**6/60 + 14*a**5/15 + 49*a**4/24 + 106*a**2. Solve v(o) = 0.
-1, 0, 7/3
Suppose 13*n = 24*n - 20*n - 32*n. Factor n*a - 2/17*a**4 - 6/17*a**3 - 4/17*a**2 + 0.
-2*a**2*(a + 1)*(a + 2)/17
Let i = 21 - 21. Let w be 1 + (i/(-1) - -2). Factor 3*k**2 + 4*k - w*k**2 - 2*k**2 + 0*k.
-2*k*(k - 2)
Let b(c) be the third derivative of -1/15*c**5 - 1/3*c**4 + 0*c + 19*c**2 + 0*c**3 + 5/6*c**6 + 0 - 8/35*c**7. Find j, given that b(j) = 0.
-1/4, 0, 1/3, 2
Let w be 4/(-1) - (-29 + 15). Let k be 4/w - 2834/(-65). Determine b so that -84*b**5 - 8*b + 28*b**4 + 99*b**5 + k*b**3 - 28*b**2 - 51*b**5 = 0.
-1, -2/9, 0, 1
Suppose 3*b + 4*u + 11 - 32 = 0, 5*b - 30 = -5*u. Let c be -3 - (4 - (b + 6)). Find j such that -5*j**4 + 4*j**5 - 4*j**3 + 9*j**4 + j**c - 5*j**2 = 0.
-1, 0, 1
Let n be (7 + -8)*-1*(2 + 0). Determine j so that 59*j**4 - 12*j**3 - 7*j**n - 2*j**5 - 9*j**5 - 22*j**4 - 9*j**5 + 2*j = 0.
-2/5, 0, 1/4, 1
Let f = 20 + -19. Let h(x) = -5*x**4 - 7*x**3 + 7*x + 2. Let k(u) = u**3 - u - 1. Let i(r) = f*h(r) - 3*k(r). Suppose i(z) = 0. Calculate z.
-1, 1
Let z = -14681 - -14683. Suppose -3/5*b**z - 363/5 + 66/5*b = 0. What is b?
11
Let s(i) be the first derivative of i**6/12 - 2*i**5/5 + i**4/2 + i**3/3 - 5*i**2/4 + i + 2. What is p in s(p) = 0?
-1, 1, 2
Let 1/7*n**3 - 1 + 15/7*n - 9/7*n**2 = 0. Calculate n.
1, 7
Factor -26/19*d + 2/19*d**2 + 60/19.
2*(d - 10)*(d - 3)/19
Let j be 275/10*87/15. Let p = j + -3497/22. Find c such that 6/11*c - 2/11 - p*c**2 + 2/11*c**3 = 0.
1
Let d(h) = h**3 - 17*h**2 - 43*h + 740. Let u be d(17). Determine s so that -u*s**2 