5*n**2 + 7*n**5 + 0*n**5 = 0?
-1, -2/7, 0, 2
Let o(u) = -u**3 - 8*u**2 - 8*u - 6. Let f be o(-7). Let b = 6 - f. Determine m so that -1/2*m + 9/4*m**2 - 7/2*m**3 - 1/2*m**b + 0 + 9/4*m**4 = 0.
0, 1/2, 1, 2
Let i(f) be the third derivative of 0*f + 1/5*f**5 + 0 + 1/24*f**4 - 3*f**2 + 2/5*f**6 + 32/105*f**7 + 0*f**3. Determine y so that i(y) = 0.
-1/4, 0
Suppose 3*y - 64 = 4*d, 20 - 52 = -3*y - 4*d. Let b = -16 + y. Let -1/4*z - 1/4*z**2 + b = 0. Calculate z.
-1, 0
Let m(c) be the third derivative of -c**5/270 - c**4/36 - 2*c**3/27 - 18*c**2. Factor m(q).
-2*(q + 1)*(q + 2)/9
Let m(b) be the third derivative of 2*b**7/105 + b**6/10 + 2*b**5/15 - 5*b**2. Suppose m(f) = 0. What is f?
-2, -1, 0
Let o(t) be the third derivative of 0*t**4 - 6*t**2 + 0 + 0*t + 1/175*t**7 + 0*t**3 + 7/200*t**6 - 1/50*t**5 - 1/80*t**8. What is n in o(n) = 0?
-1, 0, 2/7, 1
Let l = -4/21 + 6/7. Let -2/3*y**2 + 0*y + l = 0. What is y?
-1, 1
Suppose s + 1 = -j, -4*j = -5*s - 10 + 32. Factor 9/4 - 3/2*w + 1/4*w**s.
(w - 3)**2/4
Let y(x) be the first derivative of x**5/3 + 5*x**4/3 + 5*x**3/3 - 45. Factor y(b).
5*b**2*(b + 1)*(b + 3)/3
Let a = 458/117 + -48/13. Let 2/9 + 0*x**3 + a*x**4 - 4/9*x**2 + 0*x = 0. What is x?
-1, 1
Let z(x) be the third derivative of x**8/3360 - x**7/1080 - x**6/540 - x**5/12 - 4*x**2. Let l(m) be the third derivative of z(m). Find r such that l(r) = 0.
-2/9, 1
Let a = -6 - -8. Factor 4*v - 3*v + 0*v**a - 6 - 3*v**2 + 8*v.
-3*(v - 2)*(v - 1)
What is j in 0*j**2 + 0 + 0*j - 1/5*j**4 - 1/5*j**3 = 0?
-1, 0
Suppose -2*q + a = 2*q - 1, 3*q - a = 2. Let z be 2 + (q*2 - -2). What is g in 0*g - 5*g**3 + 4*g + g**3 + 2*g**2 - z = 0?
-1, 1/2, 1
Suppose -13 = -4*k + g, -5*g + 4 + 0 = 3*k. Find y such that -4/3*y**4 + 4/3*y**k + 0*y + 0*y**2 + 0 + 1/3*y**5 = 0.
0, 2
Determine c, given that -2*c**2 - 7 - 1 - c - 7*c = 0.
-2
Let g be (-3)/(-12) + (-12)/(-16) - -1. Factor 33*v - 2 - 363/2*v**g + 1331/4*v**3.
(11*v - 2)**3/4
Factor -12/7*a**2 - 8/7 + 4*a.
-4*(a - 2)*(3*a - 1)/7
Let w(u) = 2*u**4 + 13*u**3 - 11*u**2 - 11*u. Let q(v) = v**4 + 7*v**3 - 6*v**2 - 6*v. Let a(d) = -11*q(d) + 6*w(d). Factor a(b).
b**3*(b + 1)
Solve 0 + 4/15*h + 2/15*h**4 + 0*h**3 - 2/5*h**2 = 0.
-2, 0, 1
Let q = 10 - 5. Suppose -20*t**2 - 4 + 54*t**4 - 5*t**3 - 24*t**2 - 18*t**q - 6*t**4 + 26*t - 3*t**3 = 0. Calculate t.
-1, 1/3, 1, 2
Solve -3 + 2*i - 2*i - 3*i**2 + 3*i - 9*i = 0.
-1
Let t be (-13)/(-2) + 1/(-2). Factor 9*f + 13*f - f - 24*f**2 + 6*f**3 - 3*f**5 + t*f**4 - 6.
-3*(f - 1)**4*(f + 2)
Determine p, given that 6*p - 2/3*p**2 + 20/3 = 0.
-1, 10
Let g(r) be the first derivative of -r**5/40 - r**4/8 - r**3/4 - r**2/4 - 2*r - 1. Let h(d) be the first derivative of g(d). Factor h(n).
-(n + 1)**3/2
Determine p so that 19*p + 6*p**4 - 19*p - 3*p**4 - 3*p**2 = 0.
-1, 0, 1
Let w = -182 + 911/5. Suppose 0*i**3 + 1/5*i**4 - w*i**2 + 0 + 0*i = 0. What is i?
-1, 0, 1
Suppose -61*o**2 - 9*o + o + 25*o**2 + 48*o**3 - 64*o**3 = 0. What is o?
-2, -1/4, 0
Let j(a) be the second derivative of -a**6/50 + a**4/20 + 8*a. Factor j(r).
-3*r**2*(r - 1)*(r + 1)/5
Suppose -5*c - o + 0*o + 11 = 0, 0 = 4*o + 16. Let f(v) be the second derivative of 20/21*v**c + 1/2*v**4 + 4/7*v**2 + v + 0. Solve f(y) = 0 for y.
-2/3, -2/7
Let c(o) be the second derivative of -1/27*o**3 - 5*o + 0*o**2 + 0*o**5 + 0 + 1/27*o**4 + 1/189*o**7 - 2/135*o**6. Factor c(g).
2*g*(g - 1)**3*(g + 1)/9
Suppose 5*a - 5 = -5*o, 2*o + 0 = a + 8. Suppose 4 + 2*u**2 + 3*u + o*u - 12*u = 0. What is u?
1, 2
Let k(x) be the third derivative of 2*x**2 + 1/540*x**6 + 0 - 1/108*x**4 + 0*x + 1/270*x**5 - 1/27*x**3. Find a, given that k(a) = 0.
-1, 1
Let r(v) be the second derivative of v**4/78 - v**2/13 - 11*v. Find t such that r(t) = 0.
-1, 1
Let n(a) be the third derivative of -1/12*a**4 + 2/9*a**3 + 0 + 1/90*a**5 + 4*a**2 + 0*a. Factor n(x).
2*(x - 2)*(x - 1)/3
Let g be 1*16/9*69/92. Factor -4/3 - 1/3*x**2 + g*x.
-(x - 2)**2/3
Let x = -6 - -9. Let a = 1 + x. Factor 2*l**3 - a - 2*l + 4.
2*l*(l - 1)*(l + 1)
Let f(r) be the third derivative of -1/105*r**7 + 0*r**4 + 1/30*r**5 - 8*r**2 + 1/168*r**8 + 0*r - 1/60*r**6 + 0*r**3 + 0. Find b, given that f(b) = 0.
-1, 0, 1
Factor 5*o**3 - 156 + 156 + 405*o + 90*o**2.
5*o*(o + 9)**2
Let y(k) be the third derivative of -k**8/560 - 3*k**7/350 - k**6/200 + 3*k**5/100 + k**4/20 + k**2. Find i, given that y(i) = 0.
-2, -1, 0, 1
Let a(o) = -o**3 - 12*o**2 + 2. Let i be a(-12). Let f = i - -2. Let -3*j**2 + 1 - 10*j - 5 + j**2 + f*j**3 = 0. Calculate j.
-1, -1/2, 2
Suppose 0*v = 9*v + 2*v. Let b(i) be the third derivative of 0*i + 4*i**2 + 1/105*i**7 + 1/48*i**6 + 0 + 0*i**4 + v*i**3 + 1/120*i**5. Factor b(r).
r**2*(r + 1)*(4*r + 1)/2
Suppose -2*c - 3*r = -15, 2*c + 2*c - 6 = 2*r. Let p(t) be the first derivative of 4/3*t**c + 1 + 0*t + t**2 - 3/2*t**4. Let p(h) = 0. Calculate h.
-1/3, 0, 1
Suppose -45 = -6*h - 9. Let q(s) be the second derivative of -5/9*s**3 + 0 + 3*s - 13/6*s**4 + 8/3*s**5 + 112/45*s**h + 2/3*s**2. Find g, given that q(g) = 0.
-1, -1/4, 1/4, 2/7
Let q(i) be the third derivative of -i**6/1800 + i**4/120 - i**3/2 + 6*i**2. Let n(h) be the first derivative of q(h). Factor n(c).
-(c - 1)*(c + 1)/5
Let d(f) be the second derivative of -1/160*f**6 + 0 - 1/24*f**4 + 0*f**2 - 1/40*f**5 + 1/3*f**3 - 2*f. Let n(g) be the second derivative of d(g). Factor n(q).
-(3*q + 2)**2/4
Factor 2/7 + 2/7*a**2 + 4/7*a.
2*(a + 1)**2/7
Let k = -52876/3 - -17826. Let q = -199 + k. Factor r**2 - q*r - 2/3.
(r - 2)*(3*r + 1)/3
Determine q so that 0 + 2/9*q - 2/9*q**3 - 2/9*q**2 + 2/9*q**4 = 0.
-1, 0, 1
Suppose 4*b - 12 = -0*b. Let q be b*((-2)/(-3) + 0). Determine u, given that u**4 + 0*u**2 + 4*u + 6*u**2 + 4*u**3 + 0*u**q + 1 = 0.
-1
Let g(f) be the third derivative of -f**8/1680 - f**7/840 + 5*f**3/6 + 3*f**2. Let j(h) be the first derivative of g(h). Suppose j(m) = 0. Calculate m.
-1, 0
Let r = 52/7 + -142/21. Let y = 383/6 + -125/2. Find f, given that 4/3*f - 2/3*f**4 + r - y*f**3 + 0*f**2 = 0.
-1, 1
Let d(a) = 7*a**2 + a + 1. Let u be d(-1). Let h be 1*u/((-21)/(-12)). Factor -21 - h*c**3 + 2*c**4 + 21 + 2*c**2.
2*c**2*(c - 1)**2
Let f = -3/1769 + -113207/5307. Let m = f + 22. Solve -m*s + 1/3 + 1/3*s**2 = 0 for s.
1
Let q be (-2)/(-4)*2/45. Let k(z) be the second derivative of -1/54*z**4 + 0 + 0*z**3 - 1/135*z**6 - 2*z + 0*z**2 + q*z**5. What is l in k(l) = 0?
0, 1
Suppose -4 = -5*q + 6. Factor -3*a**q + 3*a + a**2 + 2*a**2 + 3*a**2.
3*a*(a + 1)
Factor 0 - 3/4*i**2 + 0*i - 3/4*i**3.
-3*i**2*(i + 1)/4
Let o(n) = -n**4 + n**2 - 1. Let a(r) = 352*r**5 - 118*r**4 - 296*r**3 + 178*r**2 - 4*r - 14. Let s(i) = a(i) - 6*o(i). Solve s(j) = 0.
-1, -2/11, 1/2
Suppose -27/7*p**3 + 6/7*p + 0 + 3*p**2 = 0. Calculate p.
-2/9, 0, 1
Let m(l) be the second derivative of 7*l**5/130 - l**4/39 + 7*l. Solve m(v) = 0 for v.
0, 2/7
Let m be 54/10 + (-8)/20. Determine i, given that i**3 - 3 + m*i + 2*i**2 + 5 + 2*i**2 = 0.
-2, -1
Suppose 2*a - 9*g + 5*g = 0, 0 = -3*a - g + 14. Let d(n) be the second derivative of -1/2*n**2 - n - 1/24*n**a - 1/4*n**3 + 0. Find i, given that d(i) = 0.
-2, -1
Let p(f) be the third derivative of 0*f**3 - 3*f**2 - 2/105*f**7 + 0 + 0*f**4 + 1/30*f**6 + 0*f + 0*f**5. Let p(s) = 0. Calculate s.
0, 1
Let y(n) = 2*n**4 + 12*n**3 + 8*n**2 - 12*n - 10. Let b(j) = -j**3 - j**2 + j + 1. Let v(q) = 10*b(q) + y(q). Factor v(h).
2*h*(h - 1)*(h + 1)**2
Let z(j) be the third derivative of j**6/120 - j**5/15 + j**4/24 - 2*j**3/3 - 2*j**2. Let a be z(4). What is o in 0 - 4*o**3 - 4/3*o**2 - 3*o**4 + a*o = 0?
-2/3, 0
Let a(l) = -4*l**2 + 34*l - 100. Let p(i) = i. Let k(z) = a(z) + 6*p(z). Factor k(u).
-4*(u - 5)**2
Let o(i) be the third derivative of -i**6/90 - 4*i**5/45 - 5*i**4/18 - 4*i**3/9 + 20*i**2. Solve o(t) = 0 for t.
-2, -1
Factor 8/5*a**2 + 0 - 4/5*a**5 + 0*a - 4*a**3 + 16/5*a**4.
-4*a**2*(a - 2)*(a - 1)**2/5
Let f(k) = 5*k**2 - 2*k - 1. Let d(v) = v**2 - 3*v**2 + v**2. Let r(b) = -6*d(b) - f(b). Factor r(t).
(t + 1)**2
Let 6*k**2 - 12*k**2 + 18*k - 21 + 9*k**2 = 0. Calculate k.
-7, 1
Let q = -809/5 + 163. Factor 0 - 3/5*t**2 + 3/5*t**4 - q*t**3 + 6/5*t.
3*t*(t - 2)*(t - 1)*(t + 1)/5
Let l(q) be the first derivative of 4*q**5/5 - 2*q**4 + 4*q**2 - 4*q - 6. Find f such that l(f) = 0.
-1, 1
Let q(g) be the third d