 - 2/5*j**r + 4/5*j = 0. Calculate j.
-1, -2/3, 0, 1
Let s(t) be the third derivative of t**8/1680 + t**7/315 + 5*t**4/12 + 5*t**2. Let j(c) be the second derivative of s(c). Factor j(o).
4*o**2*(o + 2)
Let y(s) be the third derivative of -s**6/120 + s**5/10 - s**4/2 - s**3/2 + 6*s**2. Let a(r) be the first derivative of y(r). Determine i, given that a(i) = 0.
2
Factor -8/3*o**2 - 2/3*o + 0.
-2*o*(4*o + 1)/3
Suppose -5/3*x**2 - 1/3*x**3 - x + 3 = 0. Calculate x.
-3, 1
Let i = 210 + -146. Let j = -446/7 + i. What is f in 0*f - 2/7*f**3 + 0 - j*f**2 = 0?
-1, 0
Let x(n) = n**2 - 3*n - 4. Let b be x(-5). Let u be ((-6)/12)/((-2)/b). Suppose 3*w**2 + 9 - u + w**3 = 0. Calculate w.
-3, 0
Let x(l) = 8*l - 4 - 5*l**2 + l**2 + 2 - 6*l**3. Let t(y) = -13*y**3 - 8*y**2 + 16*y - 5. Let b(k) = 2*t(k) - 5*x(k). Factor b(h).
4*h*(h - 1)*(h + 2)
Let w be (-46)/(-40) - (-6)/(-8). Solve 7/5*n - 7/5*n**3 + w - 2/5*n**2 = 0.
-1, -2/7, 1
Suppose -2*x = 2*x. Let v(q) be the second derivative of 1/21*q**7 - q + x*q**3 + 1/6*q**4 + 3/10*q**5 + 0 + 0*q**2 + 1/5*q**6. Solve v(t) = 0.
-1, 0
Let y = 323/3 - 107. Let f(j) be the third derivative of y*j**3 + 0 + 1/4*j**4 + 0*j + 1/30*j**5 + j**2. Factor f(g).
2*(g + 1)*(g + 2)
Let x(z) be the third derivative of z**6/40 + z**5/5 + z**4/2 - 2*z**2. Solve x(t) = 0.
-2, 0
Let d(h) be the first derivative of -5*h**7/189 + 8*h**6/135 - h**5/90 - h**4/27 + 5*h + 1. Let k(x) be the first derivative of d(x). Factor k(v).
-2*v**2*(v - 1)**2*(5*v + 2)/9
Let k(s) be the third derivative of 0*s - 1/30*s**5 - 1/12*s**4 + 1/3*s**3 + 0 - 2*s**2 + 1/60*s**6. Factor k(q).
2*(q - 1)**2*(q + 1)
Suppose m = 2 + 3. Let n(r) = 9*r**4 - 4*r**3 - 9*r**2 + 9*r + 5. Let c(q) = -8*q**4 + 4*q**3 + 8*q**2 - 8*q - 4. Let b(i) = m*c(i) + 4*n(i). Factor b(l).
-4*l*(l - 1)**2*(l + 1)
Let k(s) be the first derivative of -8*s - s**4 + 2*s**2 - 4 + 8/3*s**3. Let k(c) = 0. Calculate c.
-1, 1, 2
Let 2*a**2 - 8/3*a**3 + 2/3*a**4 + 8/3*a - 8/3 = 0. What is a?
-1, 1, 2
Let p be 1*(-3 - (-2)/1). Let b be p/(-1) - 12/28. Factor 2/7*c**2 + 6/7*c + b.
2*(c + 1)*(c + 2)/7
Factor -1 + 22 - 8*i**2 + i**4 - 5.
(i - 2)**2*(i + 2)**2
Let i = 139/20280 + 1/676. Let r(y) be the third derivative of y**2 - 1/40*y**5 - i*y**6 + 0 + 0*y + 1/12*y**4 + 1/420*y**7 + 1/3*y**3. What is b in r(b) = 0?
-1, 2
Let s(q) be the second derivative of -q**6/180 - q**5/60 + q**3/2 + q. Let l(j) be the second derivative of s(j). Suppose l(p) = 0. Calculate p.
-1, 0
Let u(n) be the second derivative of n**5/110 + n**4/33 + n**3/33 - 3*n. Solve u(m) = 0.
-1, 0
Suppose -20 = -5*z, 4 + 0 = -i + 2*z. Suppose -2*n = -12 + i. Determine j, given that 4*j + n*j**2 - 2 + 4 + 5*j = 0.
-2, -1/4
Suppose b + t = 4*t - 2, 0 = -2*b - 2*t + 12. Let o be 4 + -1*b/2. Factor -k**2 + k**4 - k**5 + k**3 + 3*k**2 - 3*k**o.
-k**2*(k - 1)**2*(k + 1)
Let t be (5*1/(-25))/(3/(-5)). Factor t*b**4 + 2/3*b**3 + 1/3*b**2 + 0 + 0*b.
b**2*(b + 1)**2/3
Let n(m) be the third derivative of -9*m**6/200 + 3*m**5/100 - m**4/120 + 5*m**3/6 - 2*m**2. Let s(r) be the first derivative of n(r). Factor s(w).
-(9*w - 1)**2/5
Suppose 5*s - 68 = -4*p, -2*p + 4*s + 34 = 3*s. Let u = -12 + p. Let 2/7*h**u + 0*h**4 + 0 + 0*h + 0*h**3 + 0*h**2 = 0. What is h?
0
Factor 0*u - 2/5*u**4 + 0 - 4/5*u**3 - 2/5*u**2.
-2*u**2*(u + 1)**2/5
Factor -k**3 - 4*k**3 - 10*k - 14*k**2 - k**2.
-5*k*(k + 1)*(k + 2)
Let h(w) be the third derivative of 2*w**2 + 0 + 0*w - 1/6*w**3 + 0*w**5 + 1/60*w**6 - 1/12*w**4 + 1/210*w**7. Determine v, given that h(v) = 0.
-1, 1
Suppose -4*t - 4*i = -2*i - 66, -i = -2*t + 31. Suppose u + 0*u - 4 = 3*c, 0 = 4*u - c - t. Solve 0 + 0*r - 1/3*r**2 + 0*r**3 + 1/3*r**u = 0.
-1, 0, 1
Let a(m) be the third derivative of m**6/200 + m**5/100 + 3*m**2. Let a(y) = 0. What is y?
-1, 0
Let c(p) = 9*p**3 - 9*p**2 - 9*p + 9. Let y(g) = -4*g**3 + 4*g**2 + 4*g - 4. Let l(a) = 2*c(a) + 5*y(a). Factor l(x).
-2*(x - 1)**2*(x + 1)
Suppose 0 = -145*q + 142*q + 15. What is i in -1/2*i**2 + 0 - 3/2*i**4 + 0*i - 1/2*i**q - 3/2*i**3 = 0?
-1, 0
Let r be (5/(-2))/((-18)/4). Let b(m) be the second derivative of 0 - r*m**3 - 7/18*m**4 - 1/3*m**2 - 1/10*m**5 - 3*m. Find s such that b(s) = 0.
-1, -1/3
Let g(z) = -2*z**2 - 12*z + 2. Let p(d) = d**2 + 2*d - 1. Let a(o) = -g(o) - 6*p(o). What is q in a(q) = 0?
-1, 1
Let u(l) be the third derivative of -l**8/6720 + l**7/1680 - l**6/1440 - l**3/6 + 3*l**2. Let i(n) be the first derivative of u(n). Let i(q) = 0. What is q?
0, 1
Let i(d) be the third derivative of d**5/30 - d**4/2 + 3*d**3 - 6*d**2. Factor i(l).
2*(l - 3)**2
Let w be 1*2 - (-9)/(162/(-30)). Factor w*m**3 - 1/3*m**2 + 0*m + 0.
m**2*(m - 1)/3
Let r be (2/(-6))/((-1)/4). Solve 4/3*u + 2/3*u**4 + 0*u**2 - r*u**3 - 2/3 = 0.
-1, 1
Let x(a) be the second derivative of -a**6/1260 + a**5/140 - a**4/42 - 2*a**3/3 - a. Let i(y) be the second derivative of x(y). Suppose i(d) = 0. What is d?
1, 2
Let l = -8 + 8. Let w(x) be the third derivative of 1/15*x**3 + 0*x + l - 3/50*x**5 - x**2 - 11/300*x**6 - 4/525*x**7 - 1/60*x**4. Suppose w(z) = 0. What is z?
-1, 1/4
Solve -4/7*t + 0 + 4/7*t**3 + 4/7*t**4 - 4/7*t**2 = 0.
-1, 0, 1
Let s(c) = -c**3 + 5*c**2 - 2*c - 2. Let g be s(4). Suppose -9*d + g = -6*d. Factor 0*t**3 - 1/4*t**4 + 0 + 0*t + 1/4*t**d.
-t**2*(t - 1)*(t + 1)/4
Let i(z) be the second derivative of -z**6/900 - 2*z**3/3 - 4*z. Let o(f) be the second derivative of i(f). Factor o(u).
-2*u**2/5
Let m(o) be the third derivative of o**6/40 + o**5/20 + 10*o**2. Factor m(v).
3*v**2*(v + 1)
Let p(m) be the second derivative of m**7/14 - m**6/10 - 5*m. Suppose p(f) = 0. Calculate f.
0, 1
Let j = -102 - -105. Factor 0*g**j - 2/3*g + 2/3*g**5 + 0 + 4/3*g**4 - 4/3*g**2.
2*g*(g - 1)*(g + 1)**3/3
Let c(h) be the second derivative of -h**7/3360 + h**5/160 - h**4/12 + 2*h. Let y(x) be the third derivative of c(x). Determine d so that y(d) = 0.
-1, 1
Factor -2*y**3 - 1 - 2 + 1 + 10*y + 8 + 2*y**2.
-2*(y - 3)*(y + 1)**2
Let s(m) be the first derivative of 6*m**7/35 - m**6/5 - 47*m**5/15 - 22*m**4/3 - 8*m**3 + 5*m**2/2 + 5. Let l(u) be the second derivative of s(u). Factor l(x).
4*(x - 3)*(x + 1)*(3*x + 2)**2
Let a(t) be the third derivative of t**8/3360 + t**7/1260 + t**4/24 - t**2. Let c(w) be the second derivative of a(w). Solve c(v) = 0 for v.
-1, 0
Let s(v) be the first derivative of 2*v**5/25 - v**4/5 - 2*v**3/15 + 2*v**2/5 + 26. Factor s(l).
2*l*(l - 2)*(l - 1)*(l + 1)/5
Let a(m) = 4*m**3 + 8*m**2 - 2*m + 6. Let u = -2 - -1. Let i(x) = -6 + 0 + 3 + 2 - x**2 + x - x**3. Let q(z) = u*a(z) - 6*i(z). Factor q(r).
2*r*(r - 2)*(r + 1)
Let z be (5/(-20)*2)/(-12). Let k(p) be the first derivative of -z*p**6 + 2 + 1/6*p**3 + 0*p - 5/16*p**4 + 1/5*p**5 + 0*p**2. Solve k(x) = 0.
0, 1, 2
Let u(g) be the second derivative of g**6/360 + g**5/20 + 3*g**4/8 + 3*g**3/2 + 2*g. Let d(j) be the second derivative of u(j). What is o in d(o) = 0?
-3
Let z(b) = -4*b**2 - 9. Let q(v) = v**2 + 2. Let w be 2/(-5) - 141/(-15). Let g(k) = w*q(k) + 2*z(k). Factor g(a).
a**2
Let g(q) be the second derivative of -49/3*q**4 + 5*q - 8*q**2 - 56/3*q**3 + 0. Factor g(o).
-4*(7*o + 2)**2
Let r be (-1)/(-3) + 37/(-3). Let k be 1 + 3*(-2)/r. Determine w so that -3/2*w - 5/2*w**2 + k*w**3 + 2*w**4 + 1/2 = 0.
-1, 1/4, 1
Factor 3 + 9 + 2*x - 135*x**2 - 21*x - 5*x.
-3*(5*x + 2)*(9*x - 2)
Let c(j) be the first derivative of -j**4 - 8*j**3/3 - 9. Factor c(d).
-4*d**2*(d + 2)
Let y(f) be the third derivative of -f**6/660 + f**5/33 - 8*f**4/33 + 32*f**3/33 + 58*f**2. Solve y(t) = 0.
2, 4
Let j be -3 + 1 - 9*-1. Let 4*k + k + j*k**2 + 0 - 2 = 0. What is k?
-1, 2/7
Let r(t) = t**3 + 3*t**2 + 3*t. Let v be r(-2). Let y(b) = -2*b**2 + 2*b. Let l(n) = 270*n - n**2 + 2*n**2 - 271*n. Let j(w) = v*y(w) - 5*l(w). Factor j(q).
-q*(q - 1)
Factor -1/5*b - 3/5*b**2 + 1/5*b**3 + 2/5 + 1/5*b**4.
(b - 1)**2*(b + 1)*(b + 2)/5
Suppose 6 = 5*s - 2*w - 11, -s = -2*w + 3. Suppose 0 = 2*k + 4*p - 16, -3 = -k + p - 7. Factor k*o + o**5 - 6*o + s*o - 2*o**2 + 2*o**4.
o*(o - 1)*(o + 1)**3
Suppose -2*v = -7*v + 15. Solve 4*k**v - 2*k**4 - k**3 + 9*k**5 - 13*k**4 + 3*k**5 = 0.
0, 1/4, 1
Let d(z) be the first derivative of -z**5/5 + z**4/2 - z**3/3 + 2. Factor d(i).
-i**2*(i - 1)**2
Solve -62/3*c + 4 - 98/9*c**4 - 14/9*c**3 + 262/9*c**2 = 