2*c**4 = 0.
-2, -1, 0, 1
Suppose d - 2*c - 12 = 0, -5*d + 65 = -2*c - 3*c. Solve 1 + d*s - 5*s - 8*s + s**2 + s = 0 for s.
-1
Suppose 1035*k**3 - 53820*k + 212165/4*k**2 + 5*k**4 + 13520 = 0. What is k?
-104, 1/2
Let k = -229 + 42. Let y = 1319/7 + k. Suppose y*z**3 - 1/7 + 1/7*z**5 - 5/7*z**4 - 10/7*z**2 + 5/7*z = 0. Calculate z.
1
Factor 1/7*m**2 + 1156/7 - 68/7*m.
(m - 34)**2/7
Let a(y) be the first derivative of 1/30*y**4 + 0*y**2 - 3*y + 1 + 1/75*y**6 + 0*y**3 + 1/25*y**5. Let p(u) be the first derivative of a(u). Factor p(g).
2*g**2*(g + 1)**2/5
Let k(p) be the second derivative of p**7/126 + p**6/90 - p**5/10 + p**4/18 + 5*p**3/18 - p**2/2 + 49*p. Factor k(t).
(t - 1)**3*(t + 1)*(t + 3)/3
Let p be 383 + -378 - ((-11)/(-4) + 2). Factor -p*f**2 + 1/4 + 0*f.
-(f - 1)*(f + 1)/4
Let -2/7*i**3 + 2*i + 12/7*i**2 + 0 = 0. What is i?
-1, 0, 7
Factor 135/7*m**4 + 0*m + 3*m**5 + 81/7*m**2 + 0 + 243/7*m**3.
3*m**2*(m + 3)**2*(7*m + 3)/7
Let f(p) be the second derivative of p**7/42 + 3*p**6/10 + 29*p**5/20 + 43*p**4/12 + 5*p**3 + 4*p**2 - p - 2. Factor f(a).
(a + 1)**3*(a + 2)*(a + 4)
Let h(y) be the third derivative of 5/24*y**3 + 0 + 0*y + 1/80*y**5 - 16*y**2 - 3/32*y**4 + 1/480*y**6. Factor h(b).
(b - 1)**2*(b + 5)/4
Let g(o) be the third derivative of 1/72*o**4 + 0 - 1/27*o**3 - 1/540*o**5 - 7*o**2 + 0*o. Let g(i) = 0. What is i?
1, 2
Suppose 86*m - 2*p = 84*m + 6, -3*m = 2*p - 14. Suppose 0 + 12/7*t - 24/7*t**2 - 3/7*t**m + 15/7*t**3 = 0. Calculate t.
0, 1, 2
Let n(u) = 22*u + 7. Let w be n(9). Let v be 1/(-5) + w/25. Factor -2*g + 2 - v*g**3 + 18*g**2 - 5*g - 5*g.
-2*(g - 1)**2*(4*g - 1)
Let y(z) = 3*z**2 - 3*z - 6. Let i be y(-2). Determine x so that i*x**3 - 3*x**3 + 4*x**4 - 5*x**3 = 0.
-1, 0
Let v(h) be the second derivative of 0*h**6 + 0*h**2 + 0*h**4 + 0 - 1/24*h**3 - 1/168*h**7 + 6*h + 1/40*h**5. Find g such that v(g) = 0.
-1, 0, 1
Let h(w) be the first derivative of w**3/5 - 3*w**2/5 - 9*w/5 + 66. Factor h(s).
3*(s - 3)*(s + 1)/5
Let f(w) be the second derivative of w**5/60 - w**4/8 - 4*w**2 + 5*w. Let b(l) be the first derivative of f(l). Factor b(t).
t*(t - 3)
Suppose -85*c - 43*c - 17*c = 151*c. Factor 0 - 10/7*h**3 - 8/7*h**4 + c*h - 2/7*h**2.
-2*h**2*(h + 1)*(4*h + 1)/7
Let c(g) = g**2 + 3*g - 4. Let o be (-12)/3*(-1 + 2). Let h be c(o). Factor 1/2*v**4 + 0*v + 0*v**3 + 1/6*v**5 - 2/3*v**2 + h.
v**2*(v - 1)*(v + 2)**2/6
Let t(r) = -r**2 - r - 1. Let f(l) = 4*l**3 + l**2 - 7*l - 7. Suppose -q - 4*g = -9*g - 8, 3*q - 3*g = 12. Let v(u) = q*t(u) - f(u). Find h such that v(h) = 0.
-1, 1
Find k, given that 10699*k**2 - 10700*k**2 - 39*k - 69 + 13*k = 0.
-23, -3
Let w(o) = -2*o - 8. Let r be w(-6). Factor r*v**4 - 6*v**4 + 2*v**2 - v**3 + v**3.
-2*v**2*(v - 1)*(v + 1)
Let j(k) be the third derivative of k**6/10 + 19*k**5/15 + k**4 - 25*k**2 - 3. Factor j(s).
4*s*(s + 6)*(3*s + 1)
Suppose -j - 62 = -132. Solve 5*k**3 + 8*k**2 - 63*k**4 + 4*k - j*k**4 + 134*k**4 = 0 for k.
-2, -1, 0
Let j(n) be the first derivative of 4046*n**3/3 + 68*n**2 + 8*n/7 + 136. Factor j(y).
2*(119*y + 2)**2/7
Factor 0 + 2/3*s**3 - 26/3*s**2 + 0*s.
2*s**2*(s - 13)/3
Let z(r) be the second derivative of -r**5/20 - 3*r**4/4 - 23*r**3/6 - 15*r**2/2 + 10*r + 3. Determine o, given that z(o) = 0.
-5, -3, -1
Suppose 3*u = -2*u - 95. Let p = u - -22. Factor -i + 2*i**2 + i - i - i**p.
-i*(i - 1)**2
Let i(j) = -5*j + 1. Let r be i(-1). Let t = 10 - r. Factor t + 14*v - 3*v**4 - 5*v**4 + 5*v**4 + 18*v**2 + 5*v**4 + 10*v**3.
2*(v + 1)**3*(v + 2)
Let c(a) be the first derivative of 0*a**2 - 13 + 5/4*a**4 + 0*a + 5/3*a**3. Factor c(u).
5*u**2*(u + 1)
Let a(i) = -9*i - 2. Let g be a(-2). Find m, given that -5*m**4 - 5*m**4 - g*m + 12*m**3 - 16*m**2 + 18*m**4 - 4*m**5 = 0.
-1, 0, 2
Factor -26/5*a**2 - 64/5 + 88/5*a + 2/5*a**3.
2*(a - 8)*(a - 4)*(a - 1)/5
Let o = -301 + 262. Let l = o - -39. Factor l + 3/2*h**4 + 3/2*h**2 + 0*h + 3*h**3.
3*h**2*(h + 1)**2/2
Factor 2/7*y**4 + 20*y + 46/7 + 144/7*y**2 + 52/7*y**3.
2*(y + 1)**3*(y + 23)/7
Let t(l) be the second derivative of -l**4/36 - 5*l**3/9 - 3*l**2/2 - 72*l. Solve t(a) = 0 for a.
-9, -1
Let r(h) be the third derivative of h**7/1470 - 4*h**6/105 + 32*h**5/35 - 256*h**4/21 + 2048*h**3/21 + 40*h**2. Find a, given that r(a) = 0.
8
Let k(v) be the second derivative of -v**6/10 + 103*v**5/20 - 203*v**4/6 + 242*v**3/3 - 60*v**2 - 46*v. What is l in k(l) = 0?
1/3, 2, 30
Suppose 7*c - 8 = 6. Factor -2*q**c - 4*q**2 + 249 - 245 + 10*q.
-2*(q - 2)*(3*q + 1)
Let 12*p + 11/2*p**2 + 0 - 1/4*p**3 = 0. What is p?
-2, 0, 24
Let u(x) be the first derivative of 4*x**6/9 + 32*x**5/15 + 13*x**4/6 + 2*x**3/3 - 11. Factor u(p).
2*p**2*(p + 3)*(2*p + 1)**2/3
Let b = 21989 - 21989. What is x in 3/8*x**2 + b*x + 3/8*x**3 + 0 = 0?
-1, 0
Find q such that 53/2*q - 702*q**2 + 2809/4 - 1/4*q**4 - 53/2*q**3 = 0.
-53, -1, 1
Determine i so that -138 + 80*i - 266*i**2 + 130 - 22*i**3 - 170*i**4 + 396*i**3 - 60*i**4 + 50*i**5 = 0.
1/5, 2/5, 1, 2
Let a(p) = 88*p**3 - 164*p**2 - 616*p + 296. Let j(i) = -16*i**3 + 30*i**2 + 112*i - 54. Let l(m) = -5*a(m) - 28*j(m). Factor l(h).
4*(h - 4)*(h + 2)*(2*h - 1)
Let f(u) = 37 - 1191*u**2 + 1190*u**2 - 9*u + 3. Let s be f(-12). Factor -1/3*v + 1/3*v**3 + 0 - 1/6*v**2 + 1/6*v**s.
v*(v - 1)*(v + 1)*(v + 2)/6
Let v be 2 + -5 - (10 + -15). Let i(n) be the first derivative of 15/4*n**4 - 6*n + 2 + 27/2*n**v - 12*n**3. Find d, given that i(d) = 0.
2/5, 1
Determine w, given that -3/2*w**5 - 3/2*w**4 + 0 + 24*w + 18*w**3 + 42*w**2 = 0.
-2, -1, 0, 4
Let t be 2/19 + 81/855. Let h(p) be the third derivative of 0 - 1/120*p**6 - 32/3*p**3 - t*p**5 - 2*p**4 + 0*p - 4*p**2. Solve h(d) = 0.
-4
Let t(h) = -h**2 - 57*h + 58. Let g(l) = l**2 + l - 2. Let v(o) = 4*g(o) + 2*t(o). Solve v(a) = 0.
1, 54
Let u(v) = v**2 + v + 2. Let g(z) = 4*z**2 - 39*z + 46. Let s(o) = 2*g(o) - 14*u(o). Let s(i) = 0. What is i?
-16, 2/3
Let y(t) be the second derivative of -t**8/560 + 9*t**7/280 - t**6/8 - 5*t**5/8 - 4*t**3 + t - 19. Let l(k) be the second derivative of y(k). Factor l(o).
-3*o*(o - 5)**2*(o + 1)
Let j(n) be the third derivative of -n**5/60 - n**4/12 + 5*n**3/6 - n**2. Let x be j(-3). Factor 0 + 0*h + 2/5*h**x - 2/5*h**3.
-2*h**2*(h - 1)/5
Factor -39636 + 20*j + 39636 - 4*j**2.
-4*j*(j - 5)
Determine y so that -7/2*y + 1/8*y**2 + 49/2 = 0.
14
Suppose 4*q - 64 = -0*q. Suppose -28*c + 148 = 9*c. Find m such that -4*m - 7*m + q - c*m**2 - m = 0.
-4, 1
Let b(z) = 8*z**4 - 13*z**3 - 37*z**2 + 37*z - 5. Let o(m) = 4*m**4 - 6*m**3 - 18*m**2 + 18*m - 2. Let v(d) = 2*b(d) - 5*o(d). Factor v(c).
-4*c*(c - 2)*(c - 1)*(c + 2)
Let s(q) be the third derivative of 2/13*q**3 + 1/156*q**4 + 32*q**2 - 1/390*q**5 + 0*q + 0. Find i such that s(i) = 0.
-2, 3
Let w(t) = 5*t**3 - 480*t**2 + 15360*t - 163836. Let z(d) = -10*d**3 + 960*d**2 - 30720*d + 327673. Let s(y) = 7*w(y) + 4*z(y). Determine i so that s(i) = 0.
32
Suppose -57 = -70*f + 83. Let x(m) be the second derivative of -1/30*m**4 + 5*m - 9/5*m**f + 0 + 2/5*m**3. Factor x(v).
-2*(v - 3)**2/5
Let p(x) be the second derivative of -x**6/15 + 11*x**5/10 + 25*x**4/6 + 13*x**3/3 + 9*x + 1. Factor p(q).
-2*q*(q - 13)*(q + 1)**2
Let x be -1 + 3 + (2 - (-1 + 7)). Let s be (3/(-6))/(x/54). Let s + 9*y + 3/2*y**2 = 0. Calculate y.
-3
Let x(c) = c**3 - 13*c**2 - 13*c - 11. Let l be x(14). Let z be ((-80)/l)/(-5) - 4. Suppose -2/3 - 2/3*s**2 + z*s = 0. What is s?
1
Let w = 407 + -1627/4. Factor w - 1/2*m**2 + 1/4*m.
-(m - 1)*(2*m + 1)/4
Find u such that -5*u**4 + 115*u**2 - 50*u**3 - 1398*u - 3 + 1338*u + 3 = 0.
-12, 0, 1
Let k(o) be the second derivative of -3*o**5/100 - 9*o**4/10 - 81*o**3/10 + 42*o + 2. Let k(y) = 0. What is y?
-9, 0
Let m(w) be the second derivative of 2/3*w**3 + 6*w + 1/2*w**4 + 0*w**2 + 0 - 1/15*w**6 + 0*w**5. Determine c, given that m(c) = 0.
-1, 0, 2
Let n = 1538/105 + -73/5. Let o(s) be the second derivative of n*s**3 - s + 0 + 0*s**2 + 0*s**4 - 1/70*s**5. Let o(w) = 0. Calculate w.
-1, 0, 1
Let o = 425 - 1697/4. Solve 1/4 + 1/2*c**2 + 1/4*c**5 + 1/2*c**3 - 3/4*c - o*c**4 = 0.
-1, 1
Factor 4*x**3 - 11*x**2 - 21 - 8*x**2 - 19 + 68*x - 13*x**2.
4*(x - 5)*(x - 2)*(x - 1)
Let o be (5/10*-3)/((-3)/(-4)). Let a be 20/(-125)*5/o. Factor 0 + 3/5*u**4 + 0*u + 1/5*u**3 + a*u**5 + 0*u**2.
u**3*(u + 1)*