- 14*f**2 + 3*f**4 + 11*f**2.
3*f*(f - 1)*(f + 1)**2
Find z, given that -3/7*z**5 + 0*z**3 + 0 + 0*z**2 - 3/7*z**4 + 0*z = 0.
-1, 0
Factor f**3 + 3*f**4 + 4*f + f**5 - 6*f + 0*f**4 - 3*f**2.
f*(f - 1)*(f + 1)**2*(f + 2)
Find z such that 0 + 0*z**3 + 4/5*z + 2/5*z**4 - 6/5*z**2 = 0.
-2, 0, 1
Suppose -3 = -0*q + q. Let r = q + 5. Factor r*g**2 + 0*g**2 + 4*g - 4*g + 4*g**3 + 2*g**4.
2*g**2*(g + 1)**2
Let c(y) = y**5 + 6*y**4 - y**3 - 6*y**2. Let r(b) = 6*b**4 - 6*b**2. Let u(g) = 3*c(g) - 2*r(g). Suppose u(q) = 0. What is q?
-2, -1, 0, 1
Factor 4 + 21*v - v**3 - 3*v**2 + v**4 - 25*v + 3*v**3.
(v - 1)**2*(v + 2)**2
Let y be (-24)/(-10) - (3 - (7 - 6)). Let g be 22/30 - 1/3. Factor -y*b**2 + g + 0*b.
-2*(b - 1)*(b + 1)/5
Let l = 200/369 + -4/41. Suppose 5*b - 4 = 3*b. Suppose -2/9*w**b + l*w - 2/9 = 0. What is w?
1
Let x be (-10)/45 - (2 + (-40)/18). Determine k so that 0 + 2*k**2 + x*k + 6*k**3 + 5/2*k**4 = 0.
-2, -2/5, 0
Let g(d) be the third derivative of d**9/30240 - d**8/10080 - d**7/2520 + d**6/360 + d**5/60 + 3*d**2. Let b(j) be the third derivative of g(j). Factor b(u).
2*(u - 1)**2*(u + 1)
Let u(p) be the third derivative of -p**6/360 + 11*p**5/60 - 121*p**4/24 + 1331*p**3/18 + 27*p**2. Suppose u(w) = 0. Calculate w.
11
Let y(i) be the first derivative of -22*i**3/3 - 14*i**2 - 6*i - 1. Let k(x) = 7*x**2 + 9*x + 2. Let m(g) = 16*k(g) + 5*y(g). Factor m(c).
2*(c + 1)**2
Let m = 24 - 18. Factor -7 + 8*i**2 + m - 7*i**2.
(i - 1)*(i + 1)
Let g(q) be the third derivative of -2/27*q**3 - 1/36*q**4 - 1/270*q**5 + 0 + 3*q**2 + 0*q. What is p in g(p) = 0?
-2, -1
Let r(m) = -m**2 + 9*m + 10. Let b be r(10). Find p such that 2/3*p - 8/9*p**2 + b = 0.
0, 3/4
Let m be ((-4)/3)/4*24/(-4). Find d such that -2/3*d**m - 8/3 + 8/3*d = 0.
2
Let k = 9 + -6. Let o = 7 + -3. Determine f, given that 1/4*f - 1/2*f**k + 0 + 1/4*f**5 + 0*f**2 + 0*f**o = 0.
-1, 0, 1
Let w = -10 + 16. Let m be ((-8)/40)/(w/(-10)). Solve 4/3*d**3 + d**4 - m - 2/3*d**2 - 4/3*d = 0.
-1, -1/3, 1
Let m be (-9)/((-891)/402) - 4. Let c(d) be the second derivative of d + 0 + m*d**3 + 1/66*d**4 + 0*d**2. Let c(h) = 0. Calculate h.
-2, 0
Factor 2/11*j**2 + 0 - 2/11*j.
2*j*(j - 1)/11
Let l(p) = -2*p**2 - 7*p + 1. Let d be l(-5). Let i be 4/d - (-288)/420. Determine j, given that -i*j + 1/5 + 1/5*j**2 = 0.
1
Let t be (-126)/(-4)*(-10)/(-6). Solve -75/4*l**4 + t*l**3 - 3 + 21*l - 207/4*l**2 = 0 for l.
2/5, 1
Factor 3*q + 3*q**2 - 16 - 2*q**2 + 16.
q*(q + 3)
Let j(r) be the third derivative of 169*r**5/120 + 13*r**4/12 + r**3/3 + 3*r**2. Suppose j(k) = 0. Calculate k.
-2/13
Let x(z) = -11*z**2 + 6*z - 1. Let k(d) = -65*d**2 + 35*d - 5. Let b(h) = 6*k(h) - 35*x(h). Let b(f) = 0. Calculate f.
-1, 1
Let s(b) be the third derivative of -b**4/12 + 5*b**3/3 - b**2. Let q be s(5). Solve 0*w**2 + 6*w**5 - 4*w**4 + 0*w + q + 2/3*w**3 = 0 for w.
0, 1/3
Factor 8/5 - 1/5*a**2 + 7/5*a.
-(a - 8)*(a + 1)/5
Let u(b) be the second derivative of b**7/36 + 4*b**6/45 + b**5/30 - 7*b**4/36 - 11*b**3/36 - b**2/6 - 7*b. Determine m, given that u(m) = 0.
-1, -2/7, 1
Factor 3*y**2 - 4*y**4 + 12 - 12*y**3 - 4*y**3 + 13*y + 3*y - 11*y**2.
-4*(y - 1)*(y + 1)**2*(y + 3)
Factor 0*n + 3/2 - 1/6*n**2.
-(n - 3)*(n + 3)/6
Let g(m) be the third derivative of -m**8/20160 + m**6/720 + m**5/60 + 2*m**2. Let n(k) be the third derivative of g(k). Factor n(q).
-(q - 1)*(q + 1)
Suppose 5*g = -4*g + 36. Let p(m) be the third derivative of -1/9*m**3 + 0*m - 1/30*m**5 - 1/12*m**g + 0 - 1/180*m**6 - 2*m**2. Factor p(j).
-2*(j + 1)**3/3
Let b be 7/7 - 6/8. Let j(k) be the second derivative of -b*k**3 + 0*k**4 - 2*k + 0 + 1/2*k**2 + 1/40*k**5. Solve j(a) = 0.
-2, 1
Let s(o) be the first derivative of -4*o**5/5 - 2*o**4 + 4*o**3 + 8*o**2 - 16*o + 8. Let s(b) = 0. What is b?
-2, 1
Suppose -3*j - 6 = -4*j. Let y be 3 + ((-27)/j - -2). Factor 1/4 + y*g + 1/4*g**2.
(g + 1)**2/4
Suppose -5*v + 605 = -4*q, q + 242 = 2*v - 0*v. Let j = v - 603/5. Suppose j*d**2 + 0*d - 2/5 = 0. Calculate d.
-1, 1
Let n(q) = -q**2 - 4*q + 2. Let b(t) = -t**2 - t + 1. Let l(s) = 2*b(s) - n(s). Factor l(m).
-m*(m - 2)
Let w(i) be the first derivative of 2/5*i**5 + 4 + 1/9*i**6 + 0*i - 2/3*i**3 - 2/3*i**2 + 1/6*i**4. Let w(b) = 0. What is b?
-2, -1, 0, 1
Let j(o) be the second derivative of -o**4/12 + o**3/3 - o**2/2 - 9*o. Let j(n) = 0. Calculate n.
1
Suppose 0 = 3*x - 5*v + 25, 20 = 6*v - 2*v. Let i(t) be the second derivative of -2*t - 1/18*t**4 + 0*t**2 + x - 1/9*t**3. Solve i(p) = 0.
-1, 0
Suppose -5*j = -5*b + 15, 3*j = b + 6 - 11. Let t = -2308/11 - -210. Find l, given that -2/11*l**b + 0 - t*l = 0.
-1, 0
Let a be 4 + (-25)/6 - 6/(-9). Suppose a - 1/2*k**3 + 1/2*k - 1/2*k**2 = 0. Calculate k.
-1, 1
Suppose -t + 8 = -2. Suppose 9*b**3 - 2*b + 5*b - 3*b**4 - t*b**2 + b**2 = 0. What is b?
0, 1
Let g = 19427/13272 + -3/553. Let f(p) be the third derivative of 0*p + 2*p**5 + 0 - 4*p**2 + g*p**6 + 9/8*p**4 + 1/3*p**3. Suppose f(j) = 0. What is j?
-2/7, -1/5
Let z = 35 + -35. Let l(n) be the second derivative of -1/4*n**3 + 0*n**2 - 1/16*n**4 + 4*n + z. Suppose l(m) = 0. Calculate m.
-2, 0
Let f(n) be the second derivative of 5*n**6/6 + 23*n**5/2 + 215*n**4/4 + 260*n**3/3 + 40*n**2 - 35*n. Factor f(x).
5*(x + 1)*(x + 4)**2*(5*x + 1)
Let z(q) be the first derivative of 3*q**4/8 - 2*q**3 + 7. Factor z(b).
3*b**2*(b - 4)/2
Find o such that -5/2*o**2 - 1/2*o**3 - 2 - 4*o = 0.
-2, -1
Let z(g) = -g**3 + 10*g**2 - 8*g - 7. Suppose -9 = -2*c + 9. Let b be z(c). Factor -2 + 3*f + 4 - 4*f**b + 5*f**2.
(f + 1)*(f + 2)
Let y = 194/335 + -12/67. Suppose 2/5*k**3 - 2/5*k + y - 2/5*k**2 = 0. What is k?
-1, 1
Let g(k) = k**2 + 2*k - 1. Let r be g(1). Suppose 0 + 3 + 6*u + 1 + 0 + r*u**2 = 0. Calculate u.
-2, -1
Suppose 3*p = -3*s + 12, -5*s - 3*p + 7 = -5. Let h(q) be the second derivative of 1/12*q**3 - 1/60*q**6 - 1/8*q**4 + 3/40*q**5 + s + 0*q**2 + q. Factor h(u).
-u*(u - 1)**3/2
Let l be (-10)/((-1)/2*4). Let z be (l/(-40))/(1/(-2)). Suppose 1/4 - 1/2*b + z*b**2 = 0. What is b?
1
Let u be 18/(-45)*5/6*0. Factor -2/5*m**4 + u*m**2 + 0 + 0*m + 0*m**3 - 2/5*m**5.
-2*m**4*(m + 1)/5
Suppose -90*u = -96*u + 30. Factor 0 + 12/13*t**3 + 0*t + 8/13*t**u + 18/13*t**4 + 2/13*t**2.
2*t**2*(t + 1)**2*(4*t + 1)/13
Let z(p) be the first derivative of 2*p**6/3 - p**4 + 3. Solve z(o) = 0.
-1, 0, 1
Let z(c) be the second derivative of c**7/21 - 2*c**6/15 + c**4/3 - c**3/3 + 2*c. What is d in z(d) = 0?
-1, 0, 1
Let m(b) be the third derivative of -2*b**7/105 + b**6/6 - 3*b**5/5 + 7*b**4/6 - 4*b**3/3 - 3*b**2. Find r such that m(r) = 0.
1, 2
Let v(u) be the third derivative of u**7/105 + 2*u**6/15 + 4*u**5/5 + 8*u**4/3 + 16*u**3/3 + 13*u**2. Factor v(z).
2*(z + 2)**4
Let f(p) be the second derivative of -p**5/10 + p**4/2 - 2*p**3/3 + 8*p. Let f(x) = 0. Calculate x.
0, 1, 2
Let f = -4 - -7. Factor 0*u**f - 2*u**3 + u**3.
-u**3
Let p(c) be the second derivative of -c**6/360 - c**5/120 - 5*c**3/6 - c. Let u(l) be the second derivative of p(l). Determine q so that u(q) = 0.
-1, 0
Let c(d) be the first derivative of d**5/20 - d**4/12 - d**3/3 + 7*d - 5. Let b(f) be the first derivative of c(f). Factor b(l).
l*(l - 2)*(l + 1)
Suppose 5*d + y - 3 = 0, -2*d + 12 = -3*d + 4*y. Let b(c) be the first derivative of -1/10*c**5 + d*c**3 + 1/2*c - 1/4*c**4 + 2 + 1/2*c**2. Factor b(z).
-(z - 1)*(z + 1)**3/2
Suppose -2 = -3*d + 7. Let u(z) be the second derivative of z - 1/12*z**4 + 0 + 0*z**2 - 1/6*z**d. Factor u(w).
-w*(w + 1)
Let z = -34/5 + 7. Let y(h) be the first derivative of -2/15*h**6 - 6/25*h**5 + 8/15*h**3 + 0*h**2 + 2 + z*h**4 - 2/5*h. Solve y(p) = 0 for p.
-1, 1/2, 1
Determine c so that 1/2*c**2 + 0 + 1/2*c = 0.
-1, 0
Find o, given that 4 - 2 - 30*o - 2*o**2 + o**3 + 29*o = 0.
-1, 1, 2
Suppose 2*u + 16 = -2*u + 4*l, 0 = 5*l - 20. Factor -1/5*d**2 + u*d + 1/5.
-(d - 1)*(d + 1)/5
Let o(j) be the third derivative of j**5/12 - 5*j**4/24 - 5*j**3/3 - 39*j**2. Suppose o(b) = 0. What is b?
-1, 2
Let -30/7 + 4*z + 2/7*z**2 = 0. Calculate z.
-15, 1
Let j(v) = -4*v**3 - 2*v**2 + 2*v + 4. Let m(o) = o**2 + o + 1. Let z(g) = j(g) - 4*m(g). Solve z(n) = 0 for n.
-1, -1/2, 0
Suppose -5*x + 157 = 3*y, 5*x - 6*y - 165 = -y. Let d be x/5 - 3 - 3. Let 4/5*n + d*n**2 + 0 = 0. Calculate n.
-2, 0
Let v(l) = -5*l**3 + 9*l**