o**2 - 5*o - 11. Let d(x) = -x - 1. Let t(v) = 18*d(v) - 2*n(v). What is i in t(i) = 0?
1
Suppose -178*a**3 - 40*a**2 + 173*a**3 - 104 - 57*a + 14 - 48*a = 0. Calculate a.
-3, -2
Let p(z) be the first derivative of -z**4/20 + z**3/15 + z**2/5 - 12. Factor p(q).
-q*(q - 2)*(q + 1)/5
What is t in 104 + 53 + 5*t**2 - 32 - 50*t = 0?
5
Let g = 53 + -45. Let h(f) be the third derivative of f**2 + 0*f**6 - 1/840*f**7 + 0*f**4 + 0*f + 0*f**5 + 1/1344*f**g + 0 + 0*f**3. Factor h(y).
y**4*(y - 1)/4
Let b(i) be the third derivative of -i**7/42 + i**6/12 + i**5/12 - 5*i**4/12 - 6*i**2. Determine r so that b(r) = 0.
-1, 0, 1, 2
Let n(v) be the first derivative of 1/12*v**4 + 1/3*v**3 + 1/3*v**2 + 0*v + 5. Factor n(x).
x*(x + 1)*(x + 2)/3
Let m(h) be the third derivative of -7/150*h**5 + 3*h**2 + 0 + 0*h + 0*h**3 - 1/30*h**4. Factor m(n).
-2*n*(7*n + 2)/5
Let 2 + 33/2*v**2 + 11*v + 7/4*v**4 + 37/4*v**3 = 0. What is v?
-2, -1, -2/7
Factor 4/5*m - 8/5*m**4 - 4/5*m**5 + 0 + 0*m**3 + 8/5*m**2.
-4*m*(m - 1)*(m + 1)**3/5
Let r = -1387/2 - -694. Let -r*g**2 + 1/2 - 1/2*g**3 + 1/2*g = 0. What is g?
-1, 1
Factor 4 - 45*x + 7*x**2 - 3*x**2 + 53*x.
4*(x + 1)**2
Let 0*v**2 - 4*v**2 + 4*v + 2*v**2 - 2 = 0. Calculate v.
1
Let q(c) be the third derivative of 2*c**2 - 1/270*c**5 + 1/108*c**4 + 0 + 0*c**3 + 0*c. Let q(s) = 0. What is s?
0, 1
Let v(h) be the second derivative of h**5/5 - h**4/3 - 2*h**3/3 + 2*h**2 - 2*h. Find k, given that v(k) = 0.
-1, 1
Let b(t) = -5*t + 15. Let i be b(3). Factor i - 1/5*f**3 - 2/5*f**4 + 0*f**2 - 1/5*f**5 + 0*f.
-f**3*(f + 1)**2/5
Let u(l) be the third derivative of -l**8/1512 + 2*l**7/945 - l**5/135 + l**4/108 + 5*l**2. Factor u(y).
-2*y*(y - 1)**3*(y + 1)/9
Let v(t) be the second derivative of t**7/189 + 2*t**6/135 + t**5/90 + 5*t. Determine c, given that v(c) = 0.
-1, 0
Let h be (-18)/(-21) + 8/(-14). Suppose 4/7 + h*k - 2/7*k**2 = 0. What is k?
-1, 2
Let f(h) be the first derivative of 3*h**4/4 + 3*h**3 + 3*h**2 - 7. Factor f(w).
3*w*(w + 1)*(w + 2)
Suppose 1/4*m - 1/4*m**2 + 1/4 - 1/4*m**3 = 0. Calculate m.
-1, 1
Suppose -19*a + 25*a = 30. Let b(y) be the first derivative of -3/10*y**2 + 3/25*y**a + 0*y + 3/5*y**3 - 2 - 9/20*y**4. What is q in b(q) = 0?
0, 1
Let t = -18 + 22. Factor -3*w**5 + 4 + w**2 + 5*w**2 + 3*w - 4 - 6*w**t.
-3*w*(w - 1)*(w + 1)**3
Let k(a) be the first derivative of 2/21*a**3 - 2 + 4/7*a**2 + 8/7*a. Let k(g) = 0. Calculate g.
-2
Suppose -38*x + 48 = -14*x. Factor 0*s**x - 2/9*s**3 + 2/9*s + 0.
-2*s*(s - 1)*(s + 1)/9
Let t = 2/153 + 904/1071. Let 4/7*p - 22/7*p**4 + 30/7*p**3 + 0 - 18/7*p**2 + t*p**5 = 0. What is p?
0, 2/3, 1
Let f(t) = -t**3 - t**2 + t. Let d(b) be the first derivative of -b**4 - 2*b**3/3 + 2*b**2 - b + 5. Let h(r) = d(r) - 3*f(r). Factor h(x).
-(x - 1)**2*(x + 1)
Let i be ((-32)/18)/4*-6. Let n be (-22)/198 + 49/9. Find t such that -i + n*t - 2*t**2 = 0.
2/3, 2
Let n(x) be the second derivative of -529*x**4/12 - 46*x**3/3 - 2*x**2 + 6*x. Let n(w) = 0. What is w?
-2/23
Determine j, given that j**4 - 3/4*j**3 - 1/4*j**2 + 0*j + 0 = 0.
-1/4, 0, 1
Let b = -12/5 + 16/5. Determine l, given that -b*l + 0 - 2/5*l**3 - 6/5*l**2 = 0.
-2, -1, 0
Factor 5/2*s**2 + 7/2*s**4 - 1/2*s + 0 - 9/2*s**3 - s**5.
-s*(s - 1)**3*(2*s - 1)/2
Let q = 163 - 163. Factor -7/6*u**2 - 1/3*u + q + 2/3*u**3.
u*(u - 2)*(4*u + 1)/6
Let j(t) = t**4 + 3*t**3 - 8*t**2 + 3*t + 7. Let c(v) = 3*v**4 + 5*v**3 - 16*v**2 + 5*v + 13. Let u(s) = 3*c(s) - 5*j(s). Factor u(g).
4*(g - 1)**2*(g + 1)**2
Let a(n) = -n**3 + n**2 + 6*n + 4. Let g be a(3). Find b such that 2/5*b**3 + 0 - 2/5*b**5 + 2/5*b**g - 2/5*b**2 + 0*b = 0.
-1, 0, 1
Let p = -160 - -162. Factor -1/2*l**p - 1/2*l**4 + 0*l + 0 - l**3.
-l**2*(l + 1)**2/2
Let t(b) be the first derivative of 4*b**6/3 + 2*b**5 - 3*b**4/2 - 10*b**3/3 - b**2 - 3. Find w such that t(w) = 0.
-1, -1/4, 0, 1
Let c(n) be the second derivative of n**10/15120 - n**9/3780 + n**7/630 - n**6/360 - n**4/4 - 4*n. Let t(l) be the third derivative of c(l). Factor t(f).
2*f*(f - 1)**3*(f + 1)
Let v(n) be the second derivative of n**6/3 - 6*n**5/5 + 2*n**4/3 + 2*n. Factor v(a).
2*a**2*(a - 2)*(5*a - 2)
Let p(m) be the second derivative of -4/3*m**2 + 16/9*m**3 - 7/18*m**4 - 5*m + 0. Solve p(h) = 0 for h.
2/7, 2
Let m = -197/68 - -3491/3740. Let g = 26/11 + m. Solve 0 - 1/5*o**4 + 1/5*o**2 + 2/5*o - g*o**3 = 0 for o.
-2, -1, 0, 1
Let -4/3*t + 4/9*t**3 + 0*t**2 - 8/9 = 0. What is t?
-1, 2
Let w(u) be the third derivative of u**7/420 + u**6/60 + u**5/30 + 26*u**2. Factor w(b).
b**2*(b + 2)**2/2
Let i(q) be the second derivative of -5*q**4/36 - 10*q**3/3 - 30*q**2 + 7*q. Factor i(x).
-5*(x + 6)**2/3
Suppose z - 4 = -2*j, -2*z = 15*j - 20*j + 28. Let s(d) be the second derivative of -3*d + 1/33*d**j - 1/110*d**5 + 0*d**2 + 0 - 1/33*d**3. Factor s(f).
-2*f*(f - 1)**2/11
Suppose -86/7*f**2 - 16/7 - 68/7*f + 12/7*f**4 - 22/7*f**3 = 0. What is f?
-1, -2/3, -1/2, 4
Let n(z) = -7*z**3 + 6*z**2 - 4*z - 5. Let t(j) = 3*j**3 - 3*j**2 + 2*j + 2. Let p(u) = 2*n(u) + 5*t(u). Determine v, given that p(v) = 0.
0, 1, 2
Suppose 0 = 2*v + 3*x, 0 = 4*x - 3*x + 4. What is h in -v*h + 1 + 4*h + h**2 - h + h = 0?
1
Let b = 5/7 - -13/21. Suppose 0 = 5*l + 2*x - 3*x - 1, -2 = 4*l + 2*x. Factor 0*n + l + 2/3*n**3 + b*n**2.
2*n**2*(n + 2)/3
Let g(s) be the first derivative of -s**6/1620 - s**3 + 2. Let i(x) be the third derivative of g(x). Factor i(q).
-2*q**2/9
Let x be 1*3/6*2/5. Let b(v) be the first derivative of -x*v**5 + 0*v**2 - 1/8*v**4 + 0*v - 1/12*v**6 - 4 + 0*v**3. Factor b(n).
-n**3*(n + 1)**2/2
Solve -2/7 + 8/7*l**3 - 2/7*l**4 - 12/7*l**2 + 8/7*l = 0.
1
Suppose -14 = -3*y - 2*u, 35*y - 37*y + 3*u - 8 = 0. Find v, given that 0*v**y - 64/3 + 16/3*v**3 + 4/3*v**4 - 64/3*v = 0.
-2, 2
Let f be 15/10*(-12)/(-9). Determine z so that 0*z**f + 4/5*z - 2/5*z**4 + 2/5 - 4/5*z**3 = 0.
-1, 1
Let u be ((-6)/252)/((-12)/14). Let b(t) be the second derivative of -t - u*t**4 + 1/6*t**3 + 0 - 1/3*t**2. Factor b(y).
-(y - 2)*(y - 1)/3
Let x(u) be the third derivative of u**7/1260 + u**6/60 + 3*u**5/20 - u**4/24 - u**2. Let q(j) be the second derivative of x(j). Suppose q(n) = 0. Calculate n.
-3
Let t(v) be the first derivative of 3*v**4/20 - 6*v**3/5 + 18*v**2/5 - 24*v/5 + 2. Factor t(a).
3*(a - 2)**3/5
Let a(j) be the second derivative of 3*j**5/20 - j**4 + 2*j**3 - 40*j. What is o in a(o) = 0?
0, 2
Let b(q) = -q**2 + 1. Let w(z) = -2*z - 9. Let g(p) = -p - 5. Let o(c) = -11*g(c) + 6*w(c). Let r(k) = -4*b(k) + 12*o(k). Let r(a) = 0. What is a?
1, 2
Let x = 6 + -3. What is h in -2 - 6*h**2 + x*h**3 + 5 + 6*h**4 - 3*h**5 - 3 = 0?
-1, 0, 1, 2
Let j(g) = -8*g**4 + 4*g**3 - 4*g**2 - 8*g + 8. Let n(u) = 7*u**4 - 5*u**3 + 3*u**2 + 8*u - 7. Let l(q) = -3*j(q) - 4*n(q). Factor l(c).
-4*(c - 1)**3*(c + 1)
Factor -11*w**4 - 13 + 9*w**4 + 11 + 4*w**2.
-2*(w - 1)**2*(w + 1)**2
Let j(g) be the second derivative of 0*g**2 + 0*g**3 - 1/15*g**6 - 3/25*g**5 + 0 - 1/30*g**4 - 4*g. Factor j(o).
-2*o**2*(o + 1)*(5*o + 1)/5
Let u = 1426581/11 + -129578. Let g = -111 + u. Factor -4/11*y**2 + 0 - g*y - 2/11*y**3.
-2*y*(y + 1)**2/11
Let g(p) be the third derivative of p**7/1050 - p**6/600 - p**5/100 + p**4/120 + p**3/15 - p**2. Factor g(u).
(u - 2)*(u - 1)*(u + 1)**2/5
Let d(o) be the third derivative of -o**7/280 + 11*o**6/480 - o**5/20 + o**4/24 - 7*o**2. What is i in d(i) = 0?
0, 2/3, 1, 2
Let s be ((-1)/2)/((-1)/12). Let r = -17 + 19. Factor -s*a**4 + 2*a**5 - a**2 + 4*a**3 - a**2 + 2*a**r.
2*a**3*(a - 2)*(a - 1)
Factor 0*h**4 + h + 3*h**3 + 3*h**2 + 0*h**4 + h**4.
h*(h + 1)**3
Let -18*t + 54 + 3/2*t**2 = 0. Calculate t.
6
Let g be -4 + 1*(4 + 4). Let 1/2*q - 1/2*q**3 - 1/4*q**g - 3/4 + q**2 = 0. Calculate q.
-3, -1, 1
Suppose 0*p = 5*p. Let l(v) be the third derivative of -v**2 + 0*v**5 + 0*v**4 + 0 + p*v**3 + 0*v + 1/180*v**6. Determine a so that l(a) = 0.
0
Factor -3/2*u**2 - 5/2*u**3 + 0 + u.
-u*(u + 1)*(5*u - 2)/2
Let v(t) be the first derivative of t**8/1260 + t**7/840 - t**6/1080 + 2*t**3/3 - 2. Let n(b) be the third derivative of v(b). Factor n(c).
c**2*(c + 1)*(4*c - 1)/3
Let p = 24 - 23. Factor -a - a - p + 19*a**2 - 20*a**2.
-(a + 1)**2
Let j(p) = 1. Let d(a) = a**2 - a - 1. Let y(z) = 5*d(z) + 5*j(z). Find v, given that y(v) = 0.
0, 1
Suppose -3*z + z + 9 