derivative of -r**6/90 + r**4/6 + r**3/2 + 4*r**2. Let t(x) be the first derivative of c(x). Factor t(o).
-4*(o - 1)*(o + 1)
Suppose 4*z + 4 = 3*f - 6, 5*f = 2*z + 26. Solve -6*q + 6*q**4 - 2 - 3*q**4 - 1 + f*q**3 = 0 for q.
-1, 1
What is w in 6*w**3 - 11*w**3 + 0*w**3 - 112 - 12*w**2 + 96*w + w**3 = 0?
-7, 2
Let f(w) be the second derivative of w**4/6 - 7*w**3/3 - 8*w**2 + 51*w. Factor f(z).
2*(z - 8)*(z + 1)
Let v(n) be the first derivative of -1/2*n**4 + n**2 + 2*n - 2/3*n**3 - 1. Factor v(t).
-2*(t - 1)*(t + 1)**2
Let f(w) be the third derivative of -w**7/90 + w**6/72 + w**5/90 - 16*w**2. Factor f(l).
-l**2*(l - 1)*(7*l + 2)/3
Suppose 0 = 2*v - 3*v. Solve m**2 + 2*m + 4 - 4*m**2 + v*m + m**2 = 0 for m.
-1, 2
Factor 0*x**3 + 2*x**2 - 4*x + 2*x**3 + 4*x - 4*x.
2*x*(x - 1)*(x + 2)
Suppose 5*a - 2*m + 1 = -m, -2*a + m - 1 = 0. Determine n so that -30/7*n**3 + 2/7*n**2 + a + 4/7*n - 2*n**5 + 38/7*n**4 = 0.
-2/7, 0, 1
Let l(w) be the first derivative of 25*w**7/21 + w**6/3 - 8*w**5/5 + 2*w**4/3 + w - 1. Let a(n) be the first derivative of l(n). Factor a(z).
2*z**2*(z + 1)*(5*z - 2)**2
Let s(h) = -2*h**2 - h + 3. Suppose -2*u + 10 = 5*o, 5*u - 9 + 30 = -o. Let d(v) = 2*v**2 + 2*v - 4. Let n(c) = u*d(c) - 6*s(c). Factor n(r).
2*(r - 1)**2
Let u(c) be the third derivative of c**6/420 - c**5/210 - c**4/84 + c**3/21 + 20*c**2. Factor u(l).
2*(l - 1)**2*(l + 1)/7
Suppose 26 = -5*t + 41. Factor 0*c - 3/4*c**5 + 0 - 7/4*c**t + 2*c**4 + 1/2*c**2.
-c**2*(c - 1)**2*(3*c - 2)/4
Suppose -7*y + 10 = -2*y + s, y - 4*s - 2 = 0. Suppose -4*i + 12 = 4. Factor -4*b - 1 - b**5 - b**4 + 2*b**3 + 15*b**i - 13*b**y + 3*b.
-(b - 1)**2*(b + 1)**3
Let h = 16 + -11. Find n such that -h*n**4 - n**4 - 14*n**2 - 4*n - 16*n**3 + 3*n**4 - 3*n**4 = 0.
-1, -2/3, 0
Let f(y) be the first derivative of -1/16*y**4 + 1/8*y**2 + 1/12*y**3 + 0*y - 4 - 1/20*y**5. Factor f(k).
-k*(k - 1)*(k + 1)**2/4
Let c(s) be the third derivative of s**7/42 + 7*s**6/24 + 13*s**5/12 - 5*s**4/8 - 15*s**3 + 44*s**2. Suppose c(j) = 0. Calculate j.
-3, -2, 1
Let q = -5 - 1. Let d be ((-3)/6)/(2/q). Find x, given that -1/2*x**2 + 0 + 0*x + d*x**3 = 0.
0, 1/3
Let -3*m - 36/7*m**2 - 3/7 = 0. What is m?
-1/3, -1/4
Let n(h) = 5*h**3 + 4*h**2 - h + 6. Suppose 8 = s + 3*s. Let f(b) = -1 + b**2 - s*b**2 + b**3 - b**3 - b**3. Let k(p) = 6*f(p) + n(p). Solve k(u) = 0.
-1, 0
Factor -2/13 + 2/13*z**3 + 2/13*z**2 - 2/13*z.
2*(z - 1)*(z + 1)**2/13
Let i = -213/2 - -110. Factor 0 + l**2 - 6*l**4 + 0*l + i*l**5 + 3/2*l**3.
l**2*(l - 1)**2*(7*l + 2)/2
Suppose -110 = 6*f - 4*f. Let r = f - -83. Factor -6*p**2 - 29*p**3 + r*p**2 - 2*p - 7*p**3 - 2*p + 8*p**4 + 16*p**5.
2*p*(p + 2)*(2*p - 1)**3
Suppose -4*i = -6*i + 4*i. Factor 2/7*w**2 - 2/7*w**4 + 0*w**3 + i + 0*w.
-2*w**2*(w - 1)*(w + 1)/7
Let s = -584/341 - -70/31. Factor 0*u + 8/11 - 2/11*u**3 - s*u**2.
-2*(u - 1)*(u + 2)**2/11
Let s = -901 - -905. Find u, given that -24/5*u**3 - 6/5*u**5 + 22/5*u**s + 8/5*u**2 + 0*u + 0 = 0.
0, 2/3, 1, 2
Let z(t) be the first derivative of -t**4/6 - 2*t**3/9 + 2*t**2/3 - 20. Solve z(w) = 0 for w.
-2, 0, 1
Solve -w**4 - 4*w**4 - 4*w**5 - 130*w**2 + 47*w**3 + 142*w**2 = 0 for w.
-4, -1/4, 0, 3
Let z(t) = t**3 + t**2 + 2*t. Let x(v) = -v**2 - 13*v - 6. Let l be x(-13). Let j(h) = 7*h**3 + 7*h**2 + 13*h. Let q(i) = l*j(i) + 39*z(i). Solve q(s) = 0.
-1, 0
Let h be 41/(-205) + 33/65. Factor -2/13*j**2 - 6/13*j - h.
-2*(j + 1)*(j + 2)/13
Let l(n) = 0*n**2 - 7*n**2 - 4*n**2 - 1 + 10*n**2. Let o(c) = -2*c - 5. Let f be o(-4). Let r(i) = i**2 + 4*i + 1. Let k(v) = f*l(v) + r(v). Factor k(j).
-2*(j - 1)**2
Let u(m) be the third derivative of -m**5/330 + m**3/33 - 8*m**2. Find c, given that u(c) = 0.
-1, 1
Factor 0*n + 0 + 1/2*n**2.
n**2/2
Factor -2*j - 8*j**2 + 0 - 5/2*j**3 + 7/2*j**4.
j*(j - 2)*(j + 1)*(7*j + 2)/2
Let u = -40 + 44. Let y(c) be the second derivative of 1/2*c**2 - 1/10*c**5 + 5/12*c**u + 0 - 2/3*c**3 - c. Factor y(n).
-(n - 1)**2*(2*n - 1)
Let u be 2/(-9) + 77/198. Factor -1/6*b**2 + u*b + 1/3.
-(b - 2)*(b + 1)/6
Let j(l) be the third derivative of -l**5/390 - l**4/39 - 4*l**3/39 - 32*l**2. Determine q so that j(q) = 0.
-2
Let q = -150 - -1649/11. Let m = 8/33 - q. What is t in -t + m*t**2 + 2/3 = 0?
1, 2
Let k(c) = -8*c**2 - 8*c + 21. Let x(t) = 12*t**2 + 12*t - 32. Let r(i) = 8*k(i) + 5*x(i). Solve r(j) = 0.
-2, 1
Let h(u) be the second derivative of u**4/54 + u**3/27 - 4*u. Factor h(d).
2*d*(d + 1)/9
Let k(z) = z**3 + 3*z**2 + z + 1. Let h be k(-3). Let f be 2/4 - 3/h. Let 2*u**f + 0 + 0 - 2 = 0. Calculate u.
-1, 1
Let w(o) be the second derivative of -o**6/240 - o**5/80 + o**3/24 + o**2/16 + 19*o. Let w(k) = 0. What is k?
-1, 1
Suppose 5*b - 5 = -5*u, 3*u = -2*b + 7*u + 8. Let j be -1*-2*b/16. Factor 1/2 - j*o - 1/4*o**2.
-(o - 1)*(o + 2)/4
What is g in -8/13 - 50/13*g**2 - 40/13*g = 0?
-2/5
Let i(w) = -21*w**3 + 12*w**2 + 48*w + 12. Let f(r) = -21*r**3 + 11*r**2 + 48*r + 12. Let l(h) = 3*f(h) - 4*i(h). Factor l(c).
3*(c - 2)*(c + 1)*(7*c + 2)
Let l(r) = r**2 - r + 1. Let c(t) = 2 - t - 6*t + 2*t + 2*t**2. Let h(f) = -c(f) - l(f). Solve h(m) = 0.
1
Let o = 127 + -122. Let q(s) be the second derivative of 0 + 17/6*s**4 - s + 28/15*s**6 + 2/3*s**3 + 43/10*s**o + 0*s**2. Let q(k) = 0. What is k?
-1, -2/7, -1/4, 0
Suppose -3*b + b = -4. Let z(n) = -3*n**3 - n**2 - n - 1. Let f be z(-1). Factor b*i**2 - 2*i**f - i**3.
-i**3
Let k(y) be the second derivative of y**5/80 + y**4/16 + y**3/8 + y**2/8 - 2*y. Factor k(q).
(q + 1)**3/4
Let o(x) = -x**2 - 5*x + 2. Let s(z) = 6*z - 3. Let b(c) = -3*o(c) - 4*s(c). Factor b(v).
3*(v - 2)*(v - 1)
Let r = -73/56 + 15/8. Factor -4/7 + 18/7*n - 18/7*n**3 + r*n**2.
-2*(n - 1)*(n + 1)*(9*n - 2)/7
Let j(f) be the second derivative of f**7/840 + f**4/2 - 6*f. Let s(v) be the third derivative of j(v). What is o in s(o) = 0?
0
Factor -1/2*f + 1/4*f**3 - 1/4*f**2 + 0.
f*(f - 2)*(f + 1)/4
Suppose -26*l = -28*l. Factor -2/3*w**5 + 0*w**2 - 2/3*w**4 + l*w**3 + 0 + 0*w.
-2*w**4*(w + 1)/3
Let i(j) be the third derivative of j**6/60 - j**5/285 - j**2 - 1. Factor i(a).
2*a**2*(19*a - 2)/19
Let l(s) be the first derivative of -2 - 1/6*s**3 + 2*s + 1/4*s**2 + 1/24*s**4. Let y(m) be the first derivative of l(m). Solve y(z) = 0 for z.
1
Let u(t) be the third derivative of -t**8/1512 - t**7/189 - t**6/90 + t**5/135 + 7*t**4/108 + t**3/9 + t**2. Let u(s) = 0. Calculate s.
-3, -1, 1
Let d(i) = 5*i**3 - 2 + 3*i - 5*i**2 + 0*i**3 - 4*i**3 - 2*i. Let m be d(5). Factor 4*g - g**3 - 2*g**m + g - 2*g.
-3*g*(g - 1)*(g + 1)
Suppose -3 + 16*m**2 + 19*m**2 + 12 + 6*m - 34*m**2 = 0. What is m?
-3
Let v(j) = -14*j**5 - 14*j**4 + 11*j**3 + 17*j + 17. Let a(t) = 5*t**5 + 5*t**4 - 4*t**3 - 6*t - 6. Let b(c) = -17*a(c) - 6*v(c). Let b(w) = 0. What is w?
-2, 0, 1
Factor 0*p - 2*p + 2*p**2 + p + p**3 + 116 - 118.
(p - 1)*(p + 1)*(p + 2)
Suppose 0 = -2*c + 215 - 215. Let a(y) be the first derivative of 4/21*y**3 + 2 + c*y + 1/7*y**2 + 1/14*y**4. Let a(s) = 0. Calculate s.
-1, 0
Let r = -26699/100 + 267. Let s(j) be the third derivative of 4*j**2 + 0*j**3 + 1/200*j**6 + 0 - r*j**5 - 1/20*j**4 + 0*j. Factor s(u).
3*u*(u - 2)*(u + 1)/5
Let c(p) = 5*p**4 - 4*p**3 - 6. Let w(y) = 15*y**4 - 13*y**3 - 17. Let t(r) = 17*c(r) - 6*w(r). Factor t(j).
-5*j**3*(j - 2)
Let i be (1 - 3)*(-3)/2. Factor -1/2*y**5 + y**4 + 0 + 1/2*y - y**2 + 0*y**i.
-y*(y - 1)**3*(y + 1)/2
Let m be ((-9)/(-270))/(16/6). Let z = 911/80 + m. Determine f so that 6/5 - 48/5*f**5 + 141/5*f**3 - 24/5*f**4 + 168/5*f**2 + z*f = 0.
-1, -1/4, 2
Let r(d) be the second derivative of -d**6/240 - d**5/60 + d**2/2 + d. Let t(z) be the first derivative of r(z). Factor t(w).
-w**2*(w + 2)/2
Suppose -2 = 3*j + 2*r, -5*r = -2*j + 26 - 2. Determine a, given that 1/3 - 2/3*a - 7/3*a**j - 4/3*a**3 = 0.
-1, 1/4
Factor 0*k - 2*k**2 + 0 - 1/2*k**3.
-k**2*(k + 4)/2
Let w(k) = -4*k**2 + 11*k. Let y(a) = -4*a**2 + 10*a. Let l(x) = 2*w(x) - 3*y(x). Factor l(v).
4*v*(v - 2)
Find k, given that -k**2 + 6*k**2 - 4 - 6*k + 4*k - 3*k**2 = 0.
-1, 2
Let b(r) = -7*r - 1. Let w be b(-1). Let m = -11 + 16. Let -2*o**m + 3 - 1 - 8*o**3 + 4*o**2 + w*o + 4*o**3 - 6*o**4 = 0. Calculate o.
-1, 1
Let l(h) be the first derivative of 9*h**4/4 - 4*h**3 + 3*h**2/2 - 6. Let l(w) = 0. Calculate w.
0, 1/3, 1
Let d be (