6 + 7*k**5 - 65*k**4/4 - 5*k**3 + 45*k**2 - 1. Suppose s(t) = 0. Calculate t.
-1, 0, 2, 3
Factor -s**3 + 1/2 + 0*s - 3/2*s**2.
-(s + 1)**2*(2*s - 1)/2
Let u = 142/679 - -1/194. Let z = 13/28 - u. Factor z*g**2 + 1 + g.
(g + 2)**2/4
Suppose 4*p - 9 = 3. Factor t**p + 1 - 2*t**3 + t**3 - t + t**3 - t**2.
(t - 1)**2*(t + 1)
Let z be ((-9)/15)/(4/(-5)). Let r(o) be the first derivative of -z*o**4 + 1/2*o**2 - 2/3*o**3 + 2 + 0*o. Let r(g) = 0. What is g?
-1, 0, 1/3
Let g(k) be the third derivative of -k**8/112 - 3*k**7/70 + k**6/20 + 3*k**5/5 + k**4 - 20*k**2. Find v such that g(v) = 0.
-2, -1, 0, 2
Let f(s) be the second derivative of s**4/16 - 9*s**3/2 + 243*s**2/2 - 5*s - 3. Factor f(j).
3*(j - 18)**2/4
Suppose 4/7*h + 2/7*h**4 - 2*h**2 + 0 - 4/7*h**5 + 12/7*h**3 = 0. Calculate h.
-2, 0, 1/2, 1
Let x(s) be the first derivative of s**3/27 - 10*s**2/9 + 100*s/9 + 37. What is h in x(h) = 0?
10
Let w(q) be the first derivative of q**4/12 - 2*q + 2. Let g(u) be the first derivative of w(u). Factor g(j).
j**2
Let x(h) be the first derivative of -h**6/63 - 4*h**5/105 - h**4/42 - 7. Factor x(b).
-2*b**3*(b + 1)**2/21
Let k(h) be the second derivative of -h**7/252 - h**6/60 - h**5/60 + 44*h. Suppose k(a) = 0. Calculate a.
-2, -1, 0
Let q(h) be the third derivative of -h**7/420 - h**6/90 - h**5/60 + h**3/3 + 3*h**2. Let i(r) be the first derivative of q(r). Determine x, given that i(x) = 0.
-1, 0
Determine r, given that -24 + 18*r + 4*r**2 + 0*r**2 - 22*r = 0.
-2, 3
Let a = 1094/3 + -364. Determine l so that 0*l + 0 - 2*l**3 - a*l**4 - 4/3*l**2 = 0.
-2, -1, 0
What is j in 1/7*j - 2/7*j**3 + 0 + 0*j**4 + 1/7*j**5 + 0*j**2 = 0?
-1, 0, 1
Let t(c) be the first derivative of c**6/1800 + c**5/600 - c**3/3 - 1. Let l(x) be the third derivative of t(x). Let l(r) = 0. What is r?
-1, 0
Suppose 4*m + 5*c + 5 - 27 = 0, 3*c = -4*m + 18. Let x(f) be the first derivative of 1/2*f**2 - 1/5*f**5 - 1/4*f**4 + 1/3*f**3 - m + 0*f. Factor x(j).
-j*(j - 1)*(j + 1)**2
Let t be 0/(4*(-2 + (-14)/(-8))). Suppose 0*w**3 - 1/2*w**4 + 0 + t*w + 1/2*w**2 = 0. Calculate w.
-1, 0, 1
Factor j**3 + 23*j + 4*j**2 - 55*j + 24*j + 13*j + 2.
(j + 1)**2*(j + 2)
Determine j so that 0 + 3/11*j**5 - 10/11*j**4 - 6/11*j**2 + 12/11*j**3 + 1/11*j = 0.
0, 1/3, 1
Let n = 79/28 + -9/4. Solve -2/7*w**5 + 2/7*w**4 + n*w**3 + 2/7 - 2/7*w - 4/7*w**2 = 0.
-1, 1
Let b(w) be the first derivative of 2*w**5/45 + 2*w**4/9 + 8*w**3/27 - 9. Determine x, given that b(x) = 0.
-2, 0
Suppose 0*p**2 + 2*p**3 - 2/3*p**5 - 4/3*p**4 + 0 + 0*p = 0. What is p?
-3, 0, 1
Let 4*o**4 - 4*o**3 - 12*o**2 + 3*o**3 - 7*o**3 = 0. Calculate o.
-1, 0, 3
What is v in -1/2*v + 1/6*v**2 + 0 = 0?
0, 3
Let n = -1 - -2. Factor n - 4*z - 6 + 1 - z**2.
-(z + 2)**2
Factor 0*s**2 + 4*s**2 - 36*s + 33 + 4*s - 5.
4*(s - 7)*(s - 1)
Let g(m) be the third derivative of 7*m**8/24 + 11*m**7/15 + 8*m**6/15 + 2*m**5/15 - 3*m**2 + 1. Determine z so that g(z) = 0.
-1, -2/7, 0
Suppose -9 = 4*j + 3*d, -11*j - d = -9*j + 3. Factor 0*t**2 + 0 + t**3 + 7*t**4 + 49/4*t**5 + j*t.
t**3*(7*t + 2)**2/4
Let d(w) be the first derivative of -2 + 3/4*w**4 + 2/9*w**3 + 0*w + 7/15*w**5 + 0*w**2. What is u in d(u) = 0?
-1, -2/7, 0
Factor -2*b**2 + 0 + 0*b - 2/3*b**3.
-2*b**2*(b + 3)/3
Let b(p) = 2*p**2 - 25*p + 44. Let y be b(2). Factor 3 + n - 5/3*n**y + 1/3*n**3.
(n - 3)**2*(n + 1)/3
Suppose 0 = 2*d - 3*d + 4*c + 16, -5*d - 4*c - 16 = 0. Let q be (-2)/(-19) + (-36)/(-399)*2. Factor d + 0*p - q*p**2.
-2*p**2/7
Let c(i) be the first derivative of 49*i**4/12 + 28*i**3/9 + 2*i**2/3 + 16. Factor c(l).
l*(7*l + 2)**2/3
Let w = 553 - 1645/3. Determine v, given that 0 + 0*v - w*v**4 + 6*v**3 - 4/3*v**2 = 0.
0, 2/7, 1
Let u(n) = -n**2 - n + 4. Let o(v) = -3*v**2 - v + 9. Let j(y) = -2*o(y) + 5*u(y). Factor j(d).
(d - 2)*(d - 1)
Let n(j) = -14*j**5 - 10*j**4 - 4*j**3 + 8*j. Let q(t) = 5*t**5 + 3*t**4 + t**3 - 3*t. Let o(y) = 3*n(y) + 8*q(y). Find z such that o(z) = 0.
-2, -1, 0
Suppose 2*w - 8 - 6 = -2*o, 3*w - 11 = -o. Factor -7 + n + 7 + n**3 - 2*n**w.
n*(n - 1)**2
Let -6*t**2 - 2/7*t**3 + 242/7 - 198/7*t = 0. What is t?
-11, 1
Factor 0 + 0*t + 3/4*t**4 - 3/2*t**2 - 3/4*t**3.
3*t**2*(t - 2)*(t + 1)/4
Let 0*m**4 + 4*m**4 + 3*m**4 - 9*m**4 + 24*m**2 - 32*m = 0. Calculate m.
-4, 0, 2
Let p(h) = 2*h**4 - 2*h**3 + 8*h**2 - 3*h + 5. Let f(i) = 15*i**2 - 3*i + 3 - 6*i**2 - 3*i**3 + 3*i**4 + 3. Let s(o) = -5*f(o) + 6*p(o). Factor s(j).
-3*j*(j - 1)**2*(j + 1)
Factor 0*n + 3/2*n**3 + 0 + 3/2*n**2.
3*n**2*(n + 1)/2
Factor 2*c + 4*c**3 + 6*c - 36 - 5*c + 9*c + 20*c**2.
4*(c - 1)*(c + 3)**2
Let a(c) be the first derivative of -c**9/9072 + c**8/5040 + c**7/2520 - c**6/1080 - 2*c**3/3 + 5. Let u(i) be the third derivative of a(i). Factor u(f).
-f**2*(f - 1)**2*(f + 1)/3
Let r(o) be the third derivative of o**6/540 - 2*o**5/135 + o**4/27 + 9*o**2. Suppose r(v) = 0. Calculate v.
0, 2
Let p(l) be the second derivative of -l**5/390 - l**4/39 - 4*l**3/39 - 2*l**2 - l. Let n(x) be the first derivative of p(x). Determine j, given that n(j) = 0.
-2
Suppose -3*c + 20 = 2*c + 5*h, -8 = -2*c + 5*h. Factor 0*o + 0*o + c*o - 18*o**3 - 14*o**2.
-2*o*(o + 1)*(9*o - 2)
Find n, given that 0*n + 1/5*n**5 + 3/5*n**4 + 4/5 - 7/5*n**2 - 1/5*n**3 = 0.
-2, -1, 1
Suppose 0*v = -4*v + 56. Let d = v + -11. Suppose -2*q**2 + 0*q + 6*q + 5*q**2 - d*q = 0. Calculate q.
-1, 0
Let l be ((-22)/(-77))/((-12)/(-21)). Factor 0 + l*r - 1/2*r**2.
-r*(r - 1)/2
Suppose -3*n - 2*n + 20 = 0. Factor l - 10*l**3 - 5*l - 3 + 12*l**2 - 2*l + n + 3*l**4.
(l - 1)**3*(3*l - 1)
Let p(m) = 3*m**2 + 3*m + 7. Let q(t) = -2*t**2 - 2*t - 5. Let i(w) = 5*p(w) + 7*q(w). Factor i(f).
f*(f + 1)
Let r be -3 + 3 + -4 + 0. Let i(t) = t**2 + 2*t - 3. Let x(d) = -d**2 - 3*d + 4. Let h(a) = r*i(a) - 3*x(a). Solve h(g) = 0.
0, 1
Let u(y) be the third derivative of y**6/216 - y**5/60 + y**4/72 - y**3/3 - y**2. Let q(l) be the first derivative of u(l). Factor q(o).
(o - 1)*(5*o - 1)/3
Let f = -94 + 100. Let b(v) be the second derivative of -1/3*v**f + 0*v**2 + 5/6*v**4 + 2/3*v**3 - 1/5*v**5 + 0 - 3*v. Factor b(h).
-2*h*(h - 1)*(h + 1)*(5*h + 2)
Let x(i) be the first derivative of 2*i**5/15 - 2*i**4/3 + 10*i**3/9 - 2*i**2/3 - 2. Factor x(h).
2*h*(h - 2)*(h - 1)**2/3
Let y(k) be the first derivative of 7*k**6/51 - 18*k**5/85 + k**4/17 + 7. Solve y(h) = 0 for h.
0, 2/7, 1
Let z(h) be the first derivative of 0*h - 3/8*h**4 - 5/6*h**3 - 1/2*h**2 + 1. Factor z(a).
-a*(a + 1)*(3*a + 2)/2
Let z(a) be the second derivative of -a**7/1680 + 7*a**6/2880 - a**5/480 + a**4/6 - 5*a. Let l(y) be the third derivative of z(y). Factor l(j).
-(j - 1)*(6*j - 1)/4
Let j(t) be the third derivative of -t**8/336 + t**7/105 + t**6/60 - t**5/15 - t**4/24 + t**3/3 - 2*t**2 + 26*t. Find n such that j(n) = 0.
-1, 1, 2
Let g = 1293/2 + -633. Suppose 0 = -5*i - 2*c + 19, -c + 0 = i - 5. Let 9/2*z**2 + g + 1/2*z**i + 27/2*z = 0. Calculate z.
-3
Let h(u) be the second derivative of 32*u**6/45 + 8*u**5/15 - 5*u**4/3 - 2*u**3 + 18*u. Factor h(c).
4*c*(c - 1)*(4*c + 3)**2/3
Let k = 5 - -4. Let l be (2/(-4))/(k/(-6)). Solve l*u**5 + 0*u - 1/3*u**3 + 0 - 1/3*u**2 + 1/3*u**4 = 0 for u.
-1, 0, 1
Factor 0*u**3 + 2/5*u**5 + 0*u + 3/5*u**4 + 0 - 1/5*u**2.
u**2*(u + 1)**2*(2*u - 1)/5
Suppose -6 = -n - n. Suppose 4*u + 4*u**2 + 12 - n - 3*u**2 + 2*u = 0. What is u?
-3
Factor 0*d**2 + 1/5 - 1/10*d**3 + 3/10*d.
-(d - 2)*(d + 1)**2/10
Let u(c) be the third derivative of c**6/120 - c**5/10 - c**4/24 + c**3 - 15*c**2. Factor u(m).
(m - 6)*(m - 1)*(m + 1)
Suppose -4*o = -5*m + 41, -2*o + 6 = -o + 2*m. Let x be 0*o/64*-4. Solve 0 + x*i - 28/5*i**3 - 49/5*i**4 - 4/5*i**2 = 0 for i.
-2/7, 0
Let a(r) be the third derivative of -r**5/240 - r**4/8 - 3*r**3/2 + 25*r**2. Factor a(g).
-(g + 6)**2/4
Let t(c) = -c**2 + 8*c - 7. Let u be t(7). Let p be ((-2)/4)/(1/(-6)). Find l, given that u - 2/9*l - 2/9*l**p + 4/9*l**2 = 0.
0, 1
Let j = -1/4 - -5/18. Let l(v) be the second derivative of 0*v**2 + j*v**4 + 0 - 2*v - 1/18*v**3. Find x such that l(x) = 0.
0, 1
Let s(c) be the third derivative of c**9/13440 + c**8/2688 - c**7/840 - c**6/120 - c**5/30 + 9*c**2. Let u(v) be the third derivative of s(v). Factor u(w).
3*(w - 1)*(w + 2)*(3*w + 2)/2
Let c(x) = 10*x**4 - 39*x**2 - 20*x. Let u(b) = -5*b**4 + 19*b**2 + 10*b. L