*4 - 1/5*p**2.
p*(p - 2)*(p - 1)*(p + 1)/5
Let p be (-3)/((-18)/(-26)) - 4/6. Let l(a) = a**3 - 19*a - 5. Let h(y) = 9*y + 3. Let t(f) = p*h(f) - 3*l(f). What is u in t(u) = 0?
-2, 0, 2
Let i(g) be the first derivative of 33*g**4/5 + 179*g**3/5 + 3*g**2 - 24*g/5 - 38. Solve i(o) = 0.
-4, -1/4, 2/11
Let z be ((-100)/70)/((-375)/105). Let 0*m - 4/5*m**4 + z*m**5 + 4/5*m**2 - 2/5*m**3 + 0 = 0. What is m?
-1, 0, 1, 2
Let n(r) be the third derivative of -r**5/210 + r**4/12 + 5*r**2 + 27*r. Factor n(c).
-2*c*(c - 7)/7
Suppose -2*u + 6*u - 36 = -5*w, -5*u - 4*w = -36. Suppose -5*a = 5*g - 15, -g = -u*a - 4 + 1. Suppose -10/9*l - 2/3 - 2/9*l**2 + 2/9*l**g = 0. Calculate l.
-1, 3
Let b(h) be the third derivative of -h**8/15680 - h**7/1470 - h**6/420 - 11*h**5/60 + 10*h**2. Let j(n) be the third derivative of b(n). Solve j(r) = 0.
-2, -2/3
Suppose -3*z + 4*y + 61 = 0, -3*z - 3*y + 18 = -z. Suppose f + 4*f - 2*j + 10 = 0, 0 = f - 3*j + z. Factor 2/3*c + f - 2/3*c**2.
-2*c*(c - 1)/3
Let g = 361 - 361. Let z(x) be the third derivative of 1/120*x**5 - 2*x**2 + 1/12*x**4 + g*x + 0 + 1/4*x**3. Let z(u) = 0. What is u?
-3, -1
Suppose 2*z + 3*z = 20, r - 4*z + 16 = 0. Let w be (2/(-18))/(-1)*(3 + r). Factor 0 + 1/3*x**3 + w*x**2 + 0*x.
x**2*(x + 1)/3
Let a(k) be the first derivative of -5/7*k**3 + 5 + 3/28*k**4 - 9/7*k + 3/2*k**2. Factor a(d).
3*(d - 3)*(d - 1)**2/7
Let q be 10/(-3) + (-52)/(-39) + 5. Let b(o) be the first derivative of 1/6*o**4 + 0*o + 4/3*o**2 - 8/9*o**q + 1. Suppose b(t) = 0. What is t?
0, 2
Find q, given that 30 + 702 + 41*q**2 - 7*q**2 + 528 - 5*q**3 - 600*q + 61*q**2 = 0.
6, 7
Factor -129/5*r + 26 - 1/5*r**2.
-(r - 1)*(r + 130)/5
Let b(q) be the second derivative of q**6/12 + 27*q**5/40 + 5*q**4/4 + 2*q**3/3 + 64*q. Factor b(t).
t*(t + 1)*(t + 4)*(5*t + 2)/2
Let s(d) be the first derivative of -d**3/12 + d/4 + 57. Factor s(t).
-(t - 1)*(t + 1)/4
Suppose -2*o = -4*f + 444, -3*o + 2*f = -f + 669. Let w be o/(-360) + 2/(-9). Factor 2/5*n**2 + 0 + w*n.
2*n*(n + 1)/5
Factor -110*n**3 - 65*n - 401*n**4 + 361*n**4 + 20*n - 5*n**5 - 120*n**2.
-5*n*(n + 1)**2*(n + 3)**2
Factor r**5 + 7*r - 21*r - 66*r**2 - 40*r + 144*r**3 - 4*r**5 - 7*r - 56*r**4 + 42.
-(r - 1)**3*(r + 21)*(3*r + 2)
Suppose 31 = 6*q + 1. Let -q*x**2 + 3*x**2 - 8*x + 4 + 6*x**2 = 0. What is x?
1
Let m be (-15)/(-12)*(-30)/(-50). Let d(b) be the second derivative of 0 - 1/4*b**5 - 9*b + b**2 - 7/6*b**3 + 1/30*b**6 + m*b**4. Suppose d(s) = 0. What is s?
1, 2
Suppose 3*x = 60 + 33. Let k = x + -26. What is n in 2*n**2 + k*n + 0*n**2 - 6*n**2 + 3*n - 4 = 0?
1
Suppose 0 = 3*j - 31 + 22. Let h(w) be the second derivative of -2/9*w**2 + 1/90*w**5 + 0 - 1/27*w**j + 1/27*w**4 + 2*w. Factor h(p).
2*(p - 1)*(p + 1)*(p + 2)/9
Let r(x) = 3*x**3 - 7*x**2 + 4*x. Let f(d) = 13*d**3 - 29*d**2 + 17*d - 4. Let n(i) = -2*f(i) + 9*r(i). Factor n(l).
(l - 4)*(l - 2)*(l + 1)
Let l(i) be the first derivative of 2*i**3/3 - 18*i**2 + 34*i - 85. Determine u so that l(u) = 0.
1, 17
Let u(z) = 2*z**3 + z**2 + 1. Let b(q) = 5*q**4 - 35*q**3 - 10. Let w(c) = -b(c) - 10*u(c). Determine i, given that w(i) = 0.
0, 1, 2
Solve -32/5*d - 32/5*d**2 + 2/5*d**4 + 96/5 + 8/5*d**3 = 0 for d.
-6, -2, 2
Suppose 5*g + 2 = 7*g, g - 15 = -q. Let y be 63/q*6/9. Find x, given that 3/2*x**3 - y - 3/2*x**4 - 3/2*x + 9/2*x**2 = 0.
-1, 1, 2
Let u(n) = -n - 2. Let g be u(-10). Determine p, given that -4*p**2 - 2*p**2 + g*p**2 + 0*p**2 = 0.
0
Let y be (-310)/25 + 18 + 5/(-1). Determine i so that 0*i**2 + 0 - 3/5*i + y*i**3 = 0.
-1, 0, 1
Let l(k) be the first derivative of -3*k**5/5 + 9*k**4 - 20*k**3 - 7. Solve l(j) = 0 for j.
0, 2, 10
Let w(o) = -4*o**4 + 21*o**3 + 62*o**2 + 42*o + 5. Let f(j) = -8*j**4 + 41*j**3 + 125*j**2 + 85*j + 9. Let u(s) = 6*f(s) - 14*w(s). Let u(h) = 0. What is h?
-1, -1/2, 8
Let t = -840 - -847. Let m(d) be the second derivative of 0*d**2 + 1/120*d**6 - 1/48*d**4 + 0 - 1/80*d**5 + 0*d**3 - 14*d + 1/168*d**t. Factor m(z).
z**2*(z - 1)*(z + 1)**2/4
Let x be -6 - -18 - 213/18. Suppose 0 - 1/2*n + x*n**3 - 1/3*n**2 = 0. What is n?
-1, 0, 3
Factor -11*f**2 + 10/3*f**3 - 1/3*f**4 - 16/3 + 40/3*f.
-(f - 4)**2*(f - 1)**2/3
Let t(h) be the third derivative of h**8/16800 + h**7/1400 - h**6/150 - h**5/12 - 24*h**2. Let g(n) be the third derivative of t(n). Factor g(q).
6*(q - 1)*(q + 4)/5
Let n(h) be the second derivative of h**4/27 + 5*h**3/54 + h**2/18 - 145*h. Factor n(c).
(c + 1)*(4*c + 1)/9
Let z be 4 + (-5)/(10/122). Let i = z + 57. Factor 1/2*x**3 + i*x**2 + 0 - 1/2*x.
x*(x - 1)*(x + 1)/2
Let d(r) be the third derivative of 4/3*r**3 + 0 + 0*r - 4/3*r**5 + 1/2*r**4 - 9*r**2. Factor d(t).
-4*(4*t + 1)*(5*t - 2)
Let h be 14/231*11 - (1 + -1). Let p(k) be the first derivative of 18*k + h*k**3 + 6*k**2 - 4. Suppose p(c) = 0. What is c?
-3
Suppose 0 = 3*u + q - 60 - 65, -205 = -5*u - q. Let m = u - 37. What is o in 6*o**m + 3 + 0*o**4 - 3*o**2 - 3/2*o**5 - 9/2*o = 0?
-2, -1, 1
Determine l, given that 42 - 80*l + 53/2*l**2 - 3/2*l**3 = 0.
2/3, 3, 14
Solve 2/5*g**2 + 82/5*g + 156/5 = 0.
-39, -2
Let o(b) = -2*b**5 + 2*b**3 - 2*b**2 + 6*b + 2. Let s(d) = 2*d**5 + d**4 - d**3 + d**2 - 6*d - 2. Let w = 29 + -35. Let r(h) = w*s(h) - 5*o(h). Factor r(j).
-2*(j - 1)*(j + 1)**4
Let p(b) be the third derivative of b**8/1680 + b**7/630 - b**6/180 - b**5/30 - 2*b**4/3 - b**2. Let w(h) be the second derivative of p(h). Factor w(q).
4*(q - 1)*(q + 1)**2
Let p(t) = 2*t**3 + 9*t**2 - 9*t - 15. Let w be p(-5). Let x be 17/36 + (19/4 - w). Let -2/9 + x*m**2 + 10/9*m - 10/9*m**3 = 0. Calculate m.
-1, 1/5, 1
Let v(p) be the first derivative of -p**6/180 + p**5/60 + p**4/6 + 7*p**3/3 - 4. Let s(a) be the third derivative of v(a). Factor s(h).
-2*(h - 2)*(h + 1)
Factor -196/9*z**2 + 4/9*z**3 + 380/9*z - 188/9.
4*(z - 47)*(z - 1)**2/9
Suppose 5*n + 5*v + 5 = 0, 0*v + 10 = 5*n + 2*v. Suppose -5*x = 3*a - 5 - 17, 4*x = -5*a + 28. Solve 1/2 - 3/4*j**x - 1/4*j**3 + 1/4*j**n + 1/4*j = 0 for j.
-1, 1, 2
Let t(n) be the first derivative of -12/7*n**2 - 8/7*n + 8/21*n**6 + 23/7*n**4 + 2/3*n**3 + 5 + 72/35*n**5. What is h in t(h) = 0?
-2, -1/2, 1/2
Let x(i) be the third derivative of -i**6/80 + i**5/4 - 13*i**4/16 - 6*i**3 + 54*i**2. Factor x(j).
-3*(j - 8)*(j - 3)*(j + 1)/2
Let h(q) be the second derivative of -3*q**5/160 + 11*q**4/32 + q**3/16 - 33*q**2/16 + 30*q. Factor h(j).
-3*(j - 11)*(j - 1)*(j + 1)/8
Factor 92 + 456*z**2 - 48*z**3 - 24 + 237*z - 38.
-3*(z - 10)*(4*z + 1)**2
Let z(d) = 3*d**2 - d - 1. Let l be z(-1). Suppose 4*x - 2*r - 4 + 12 = 0, l*r - 12 = 5*x. Factor 5*o**3 - o - 4*o**3 + x*o**3.
o*(o - 1)*(o + 1)
Solve 216*c**3 + 30*c**2 - 33*c + 15*c - 238*c**3 + 6*c**4 + 4 = 0.
2/3, 1
Factor -8 + 78/5*i - 36/5*i**2 - 2/5*i**3.
-2*(i - 1)**2*(i + 20)/5
Let n(r) be the second derivative of 9/10*r**5 + 1/4*r**4 - 11*r + 0 - 5/2*r**3 - 3*r**2. Determine b, given that n(b) = 0.
-2/3, -1/2, 1
Let n(o) be the first derivative of o**3/27 - 20*o**2/3 + 400*o - 267. Factor n(p).
(p - 60)**2/9
Suppose -76*q - 169*q + 645 = -30*q. Factor 5/2*y**q - 15/2*y - 5 + 0*y**2.
5*(y - 2)*(y + 1)**2/2
Let j(u) be the third derivative of u**6/300 + 2*u**5/75 - u**4/15 - 16*u**3/15 + u**2 - 2. Suppose j(s) = 0. Calculate s.
-4, -2, 2
Suppose -3*t - 48 = 4*p - 90, -5*p + 41 = -2*t. Factor -1/5*b**5 + 12/5*b + 3/5*b**4 - 4/5 + 1/5*b**3 - 11/5*b**t.
-(b - 2)*(b - 1)**3*(b + 2)/5
Let z(b) = -b**2 - 10*b + 41. Let h be z(-13). Factor 24*w**h - 49*w**2 - 9*w + 15 + 26*w**2 + w.
(w - 5)*(w - 3)
Suppose -4*t - 12*t = 0. Let b(z) be the third derivative of -11*z**2 + t + 0*z**3 - 1/20*z**5 + 0*z - 1/4*z**4 + 1/40*z**6. Find o, given that b(o) = 0.
-1, 0, 2
Let h = 7 - 3. Suppose -187*n + 183*n + 8 = 0. Factor -1 + h - 28*l**3 - 22*l**4 - 6*l**5 - 12*l**n + 2*l - 1.
-2*(l + 1)**4*(3*l - 1)
Let z(k) be the third derivative of 2*k**6/165 - 47*k**5/330 + k**4/2 + 3*k**3/11 + 208*k**2. What is c in z(c) = 0?
-1/8, 3
Let 0 + 0*g - 2/7*g**4 + 2/7*g**2 + 0*g**3 = 0. Calculate g.
-1, 0, 1
Factor 4*b**2 + 0*b + 0 + 14/3*b**3 + 4/3*b**4.
2*b**2*(b + 2)*(2*b + 3)/3
Let m(t) = t**4 + t**3 - t + 1. Suppose u - 6 = -2*u. Let b(g) = -15*g**4 + 59*g**3 - 58*g**2 + 13*g - 1. Let z(s) = u*m(s) + 2*b(s). Factor z(q).
-4*q*(q - 3)*(q - 1)*(7*q - 2)
Let y(k) be the third derivative of 0