0*g.
-g**2*(g - 2)**2/3
Let q = 18 + -13. Suppose -5*n - q*m + 1 = -14, -n + m = 3. Factor n + 0*h**2 + 0*h - 1/2*h**4 + 0*h**3.
-h**4/2
Let m(w) be the third derivative of w**9/45360 + w**8/3360 + w**7/630 + w**6/270 + w**4/12 + 4*w**2. Let o(f) be the second derivative of m(f). Factor o(g).
g*(g + 2)**3/3
Let l(s) be the third derivative of 0 - 1/45*s**5 + 0*s - 2*s**2 - 1/36*s**4 - 1/180*s**6 + 0*s**3. Factor l(h).
-2*h*(h + 1)**2/3
Suppose 5*u - 21 = -6. Let -1/2*r**2 + 0*r + 0 - 1/2*r**u = 0. What is r?
-1, 0
Solve 3/4*v**4 + 9/4*v**3 + 0*v**2 - 3*v + 0 = 0 for v.
-2, 0, 1
Factor 0 + 1/2*p**4 - 1/2*p**2 + p - 3/2*p**3 + 1/2*p**5.
p*(p - 1)**2*(p + 1)*(p + 2)/2
Let t = 2/11 + 7/22. Let k = -74 + 77. Find c such that 0 + 1/2*c**k + 0*c - 1/2*c**5 - 1/2*c**2 + t*c**4 = 0.
-1, 0, 1
Let w(o) be the first derivative of o**6/24 - o**5/20 - o**4/16 + o**3/12 - 8. Factor w(k).
k**2*(k - 1)**2*(k + 1)/4
Let n = -959/30 + 32. Let t(o) be the second derivative of -o + 0*o**3 + 0 + 0*o**2 - 1/50*o**5 - n*o**4. Factor t(v).
-2*v**2*(v + 1)/5
Let c be (-1)/(0 + (-3)/15). Suppose -c*m = -8*m + 12. Factor m + 2*g**2 + 3 - 3 + 6*g.
2*(g + 1)*(g + 2)
Let v(l) be the second derivative of l**4/6 + 4*l**3 + 36*l**2 - 6*l. Factor v(u).
2*(u + 6)**2
Let g(x) be the second derivative of -x**7/21 - x**6/3 - 7*x**5/10 + x**4/6 + 8*x**3/3 + 4*x**2 + 13*x. Determine l so that g(l) = 0.
-2, -1, 1
Determine z, given that -44/15*z**2 - 2/15*z**4 - 6/5 - 16/15*z**3 - 16/5*z = 0.
-3, -1
Let n(p) be the first derivative of -3*p**4/4 + p**3 + 21. Solve n(h) = 0.
0, 1
Let f(d) = 51*d**4 + 339*d**3 + 1539*d**2 + 2901*d + 1920. Let y(r) = 5*r**4 + 34*r**3 + 154*r**2 + 290*r + 192. Let p(o) = 2*f(o) - 21*y(o). Factor p(b).
-3*(b + 2)**2*(b + 4)**2
Let q(u) be the second derivative of -13*u**6/45 - u**5/15 - 10*u. Factor q(v).
-2*v**3*(13*v + 2)/3
Let u = 5 - 1. Let q(a) = 3*a**2 + 2*a + 3. Let i(n) = -7*n**2 - 4*n - 7. Let h(t) = u*i(t) + 9*q(t). Find z such that h(z) = 0.
1
Let g = -1148701 + 1077481813/938. Let u = g + -1/134. Factor 2/7 - u*n**2 + 0*n.
-2*(n - 1)*(n + 1)/7
Solve -2/3 - 23/3*n**3 - 11/3*n**4 - 11/3*n - 2/3*n**5 - 23/3*n**2 = 0.
-2, -1, -1/2
Let o(l) = -2*l**3 - 2*l - 1. Let a be o(-1). Let i(v) be the second derivative of 0 + 1/4*v**2 + 1/48*v**4 + 1/8*v**a - 2*v. Suppose i(s) = 0. What is s?
-2, -1
Let n(s) be the first derivative of -1/2*s - 1/12*s**3 - 3/8*s**2 - 3. Suppose n(z) = 0. Calculate z.
-2, -1
Let w = 451 - 2249/5. Suppose -5 - 1 = -3*y. Factor 6/5*i - w*i**3 - 4/5 + 4/5*i**y.
-2*(i - 1)*(i + 1)*(3*i - 2)/5
Let f(i) be the second derivative of 0 + 1/20*i**6 - 1/84*i**7 + 0*i**2 + 1/24*i**4 - 3/40*i**5 + 4*i + 0*i**3. Factor f(k).
-k**2*(k - 1)**3/2
Suppose -360*o + 359*o + 2 = 0. Find w, given that -2/7*w**o - 1/7*w**3 + 2/7 + 1/7*w = 0.
-2, -1, 1
Let y = -21 + 4. Let q = 52/3 + y. Suppose q*a**2 - 1/3*a + 0 = 0. Calculate a.
0, 1
Let i(t) be the second derivative of -3*t**5/80 - t**4/12 - t**3/24 - 4*t. Suppose i(r) = 0. What is r?
-1, -1/3, 0
Suppose 135 = 5*c - 0*c. Let i be 318/c - (-2)/9. Factor i*j**2 - j**2 + 13*j**2 - 10*j + 1.
(4*j - 1)*(6*j - 1)
Let t(j) be the first derivative of -3*j**3 + 9*j**2 - 4*j + 3*j**3 - j**3 + 1 - 23*j. Suppose t(b) = 0. What is b?
3
Let s(n) = -30*n**2 - 30*n + 22. Let t(p) = 29*p**2 + 29*p - 23. Let o(k) = 7*s(k) + 6*t(k). Determine x, given that o(x) = 0.
-4/3, 1/3
Let w(u) be the second derivative of -1/18*u**4 - 2/9*u**3 + 0 - 1/3*u**2 + 7*u. Factor w(c).
-2*(c + 1)**2/3
Find z such that -32/5*z**2 - 77/5*z**3 - 49/5*z**4 + 0 - 4/5*z = 0.
-1, -2/7, 0
Let u = 8 + -3. Let j(f) be the first derivative of 0*f**3 + 2/5*f**u + f**4 - 2*f**2 - 2*f + 1. Suppose j(v) = 0. Calculate v.
-1, 1
Let p be 26/5*55/66 + -3. Let l(f) be the first derivative of 1 - p*f**3 + 2*f + f**2 - f**4 + 1/3*f**6 + 2/5*f**5. Factor l(b).
2*(b - 1)**2*(b + 1)**3
Let c(z) = 3*z - 1. Let j be c(2). Let v(m) be the third derivative of 1/100*m**j + m**2 + 2/15*m**3 + 0 + 0*m + 1/15*m**4. Suppose v(t) = 0. What is t?
-2, -2/3
Let v(u) be the third derivative of 2*u**2 + 0 + 0*u**3 - 1/336*u**8 + 1/105*u**7 + 0*u + 0*u**6 + 1/24*u**4 - 1/30*u**5. What is n in v(n) = 0?
-1, 0, 1
Let a = -466/5 + 94. What is i in -3/5*i**3 + 3/5*i + 1/5 - i**2 + a*i**4 = 0?
-1, -1/4, 1
Let z = -289 - -292. Factor -12/5*o**z - 24/5*o + 2/5*o**4 + 8/5 + 26/5*o**2.
2*(o - 2)**2*(o - 1)**2/5
Let t(d) be the second derivative of -1/9*d**3 + 7/90*d**6 + 0 + 3*d + 11/36*d**4 - 4/15*d**5 + 0*d**2. Find h such that t(h) = 0.
0, 2/7, 1
Let t(r) be the first derivative of -r**5/40 - r**4/32 + r**3/24 + r**2/16 - 2. Determine v so that t(v) = 0.
-1, 0, 1
What is z in -4*z**3 + 23*z + 5*z - 3 - 21 = 0?
-3, 1, 2
Let n be 36/(-4) - (1 + -1). Let o be 2 + 3 + 42/n. Suppose 2/3*t**3 + 1/3 - 2/3*t - o*t**4 + 0*t**2 = 0. Calculate t.
-1, 1
Let f(z) be the third derivative of -z**6/900 + z**4/180 + 2*z**2. Find p such that f(p) = 0.
-1, 0, 1
Let b(f) = -5*f**2 + 22*f + 3. Let k(g) = -65*g**2 + 285*g + 40. Let s(j) = -40*b(j) + 3*k(j). Let s(d) = 0. Calculate d.
0, 5
Find b, given that 6*b**2 + 4*b**2 + 8*b + 2*b**2 + 3*b**3 + b**3 = 0.
-2, -1, 0
Let c = -6 + 7. Let h(l) = -l**2 + l. Let f be h(c). Factor 0 + f*w - 1/2*w**2.
-w**2/2
Solve -4/5*u - 6/5*u**2 + 0 = 0 for u.
-2/3, 0
Suppose 0*j = -4*j + 4*d - 12, 22 = j + 4*d. Factor -1/5*p + 0 + 4/5*p**4 + 2/5*p**j + 7/5*p**3.
p*(p + 1)**2*(4*p - 1)/5
Suppose -q - 22 + 26 = 0. Suppose -q*u + 1 = 5*g + 5, -3*g - 2*u - 2 = 0. Factor 1/5*o**4 + g*o + 0 + 0*o**3 - 1/5*o**2.
o**2*(o - 1)*(o + 1)/5
Factor 0*h**2 - 2*h - 2 + 2*h**2 - 8*h**3 + 10*h**3.
2*(h - 1)*(h + 1)**2
Let n(o) = 3*o**4 + 6*o**3 - 9*o**2 - 6. Let x(u) = u**2 - u + 1. Let d(q) = -n(q) - 6*x(q). Determine w so that d(w) = 0.
-2, -1, 0, 1
Solve 4 + z**3 + 4*z**4 - 27*z + 15*z**2 - 17*z**3 + 9*z**2 + 11*z = 0.
1
Suppose 0*u + 2 = u. Suppose 7 = u*l + 3. Find b such that 3*b**2 - 4*b**3 + b**5 - l*b**2 - 2*b**5 + 3*b**4 + b**3 = 0.
0, 1
Determine m, given that 1/2 - 1/4*m + 1/4*m**3 - 3/4*m**2 + 1/4*m**4 = 0.
-2, -1, 1
Let l(x) be the third derivative of -x**2 + 1/210*x**5 + 0*x + 1/21*x**3 + 1/42*x**4 + 0. Let l(t) = 0. Calculate t.
-1
Let p(o) be the second derivative of o**7/12 - 19*o**6/60 - 3*o**5/20 + 7*o**4/6 + 2*o**3/3 + 5*o. Determine v, given that p(v) = 0.
-1, -2/7, 0, 2
Let c(z) be the third derivative of z**8/10080 - z**7/1260 + z**6/432 - z**5/360 - 4*z**3/3 + 2*z**2. Let h(t) be the first derivative of c(t). Factor h(d).
d*(d - 2)*(d - 1)**2/6
Factor -5*q - 9*q + 4*q + 35*q**2 + 45*q**3.
5*q*(q + 1)*(9*q - 2)
Determine a so that -1/2*a**2 - 1/2 + a = 0.
1
Let s(x) be the third derivative of -x**8/2016 - x**7/420 - x**6/240 - x**5/360 + 5*x**2. Factor s(r).
-r**2*(r + 1)**3/6
Let t = -115 - -117. Let a(q) be the second derivative of 0*q**t + q + 1/15*q**6 + 1/6*q**4 + 0*q**3 + 0 - 1/5*q**5. Factor a(r).
2*r**2*(r - 1)**2
Let k(q) be the third derivative of 0*q**5 + 4*q**2 - 1/210*q**7 + 0*q**3 + 0 - 5/112*q**8 + 0*q + 0*q**4 + 1/60*q**6. Suppose k(y) = 0. Calculate y.
-2/5, 0, 1/3
Find k, given that 3*k**4 + 0 + 0*k**2 + 3/4*k**5 + 9/4*k**3 + 0*k = 0.
-3, -1, 0
Let u(t) be the second derivative of 1/2*t**4 - 1/5*t**6 + 0 + 0*t**2 - 5*t + 1/14*t**7 + 0*t**5 - 1/2*t**3. Factor u(i).
3*i*(i - 1)**3*(i + 1)
Factor 3/7*c**5 - 12/7*c**2 - 15/7*c**4 + 0 + 0*c + 24/7*c**3.
3*c**2*(c - 2)**2*(c - 1)/7
Let c(f) be the first derivative of f**4/4 + 2*f**3/3 + f**2/2 - 2. Factor c(n).
n*(n + 1)**2
Let p(x) = 3*x**3 - 16*x**2 + 15*x + 4. Let j(u) = 6*u**3 - 31*u**2 + 29*u + 7. Let y(r) = -6*j(r) + 11*p(r). Factor y(s).
-(s - 2)*(s - 1)*(3*s - 1)
Let l(q) be the third derivative of -q**5/480 + q**4/64 - q**3/24 + 34*q**2. Factor l(h).
-(h - 2)*(h - 1)/8
Let o(z) be the third derivative of -z**7/2100 - z**6/300 - z**5/100 - z**4/60 + z**3/2 + 2*z**2. Let u(g) be the first derivative of o(g). Factor u(a).
-2*(a + 1)**3/5
Let v be 0/(-2*3/12*2). What is i in 2/3*i + v - 2/3*i**2 = 0?
0, 1
Let p(b) = 17*b - 5. Let h be p(4). Let d = -689/11 + h. Suppose d*o - 2/11*o**2 - 2/11 = 0. What is o?
1
Suppose -4*r + 6*y = 2*y - 28, -4*r = y - 3. Find t such that -7*t**r - 2 + 5*t + 9*t**2 - 5*t = 0.
-1, 1
Let n(q) be the second derivative of q**6/105 + q**5/35 - q**4/42 - 2*q**3/21 