u**5 + 16*u**4 + 15*u**4 - u + 0*u**5 + u**3. Let b(y) = 3*y**5 + 3*y**4 - 2*y**3 - 4*y**2 - 2*y. Let c(t) = -b(t) + 2*k(t). Factor c(g).
-g**2*(g - 2)*(g + 1)*(g + 2)
Let d(u) = 17*u**2 + 45*u + 88. Let z(q) = 2*q**2 - 2. Let i(g) = -d(g) + 6*z(g). Solve i(w) = 0.
-5, -4
Determine s so that 9*s + 0*s - 9*s**3 + 7*s**3 - 3*s - 4 = 0.
-2, 1
Let r(w) be the second derivative of -5*w**7/42 - 5*w**6/6 - 2*w**5 - 5*w**4/3 + 2*w - 50. Let r(x) = 0. Calculate x.
-2, -1, 0
Suppose 0 = -15*v + 13*v + 46. Let j = 70/3 - v. Find m such that 0*m + 1/3*m**2 - j = 0.
-1, 1
Factor -7*t**2 - 254*t - 2673 + 2333 + 74*t + 2*t**2.
-5*(t + 2)*(t + 34)
Find b such that 8/3*b - 1/3*b**2 + 0 = 0.
0, 8
Let f(a) be the first derivative of -3*a**4/8 - 5*a**3/2 + 3*a**2/4 + 15*a/2 + 9. Solve f(l) = 0 for l.
-5, -1, 1
Let k(r) = -3*r**3 + 6*r**2 + 45*r. Let t(u) = u**3 - 2*u**2 - 15*u. Let i(f) = 4*k(f) + 14*t(f). Solve i(q) = 0.
-3, 0, 5
Let o(d) = -92*d + 920. Let b be o(10). Find y such that 2/9*y**2 - 2/9*y**5 - 2/9*y**4 + b + 2/9*y**3 + 0*y = 0.
-1, 0, 1
Let p(w) = 2*w - 5. Let t be p(6). Suppose 2*c + t = 2*u + 1, u - 5*c = -5. Solve 0*h**3 + 1/4*h**u - 1/2*h**2 + 1/2*h**4 + 0 - 1/4*h = 0 for h.
-1, 0, 1
Let d(f) be the second derivative of -1/66*f**4 + 4/33*f**3 + 0 - 4/11*f**2 + 14*f. Find v, given that d(v) = 0.
2
Let l(q) be the second derivative of -2/5*q**2 + 1/15*q**4 - 1/50*q**5 + 1/15*q**3 + 0 + 12*q. Factor l(i).
-2*(i - 2)*(i - 1)*(i + 1)/5
Let k(f) be the third derivative of -f**6/24 - 7*f**5/12 - 55*f**4/24 - 25*f**3/6 + 41*f**2 - f. Solve k(w) = 0 for w.
-5, -1
Let a(f) be the second derivative of -f**4/12 - 2*f**3/3 - f**2 + 7*f. Let w be a(-2). Factor -44*r**3 + 49*r**4 - 33*r**3 - 4*r + 32*r**w + 0*r**3.
r*(r - 1)*(7*r - 2)**2
Let j be -2 - (-3)/6*4. Suppose 4*c = -j + 20. Factor 8 - 17*p - 9 - 5*p**2 - c.
-(p + 3)*(5*p + 2)
Let u(y) = -12*y**2 + 109*y - 104. Let k(p) = 7*p**2 - 54*p + 51. Let s(r) = -7*k(r) - 4*u(r). Determine z so that s(z) = 0.
-59, 1
Let n(l) be the third derivative of -l**5/390 - 68*l**4/39 - 18496*l**3/39 + 8*l**2. Solve n(f) = 0.
-136
Let c(b) be the third derivative of -1/10*b**5 + 4*b**2 + 0*b + 1/12*b**4 - 1/6*b**3 + 1/20*b**6 + 0. Let s(m) be the first derivative of c(m). Factor s(q).
2*(3*q - 1)**2
Let f be 2/8 + 55/20. Suppose i = -5*r - i, 0 = f*r + 5*i + 19. Find z, given that -4 + r + 3*z**2 - z**2 = 0.
-1, 1
Let r = -188746/9 - -21041. Let o = r - 67. Determine j, given that -20/9*j**3 - 8/9 + 8/9*j**2 + o*j = 0.
-1, 2/5, 1
Suppose -12 = -2*v - 4. Determine t, given that -14*t + 3*t + 20*t**5 + 28*t**2 - 12*t**3 + 3*t - 28*t**v = 0.
-1, 0, 2/5, 1
Let h = -523/21296 - -5733367/7347120. Let f = -2/345 + h. Suppose 9/4*d**2 - 3/4*d**3 + f - 9/4*d = 0. What is d?
1
Let f(h) be the second derivative of 7*h**5/5 - 41*h**4/3 + 38*h**3 + 18*h**2 - 5*h + 17. Determine g so that f(g) = 0.
-1/7, 3
Suppose 253 = -j + 5*j - 5*n, n + 290 = 5*j. Solve 15*w**2 + 5 - j*w - 41*w - 5*w**3 + 83*w = 0.
1
Suppose 28/5*a + 2/5*a**2 + 0 = 0. Calculate a.
-14, 0
Determine r, given that -28/3*r**2 - 40/3 + 148/3*r = 0.
2/7, 5
Suppose -32 = -4*x - 4*q, -q + 0 = -3. Let -4*b**3 + 2*b**5 + 3*b**5 - 8*b**2 - b**x + 8*b**4 = 0. What is b?
-2, -1, 0, 1
Let k(g) be the first derivative of -4*g + 1/3*g**6 - 2*g**4 + 4 + 4/3*g**3 + 3*g**2 + 0*g**5. Suppose k(w) = 0. Calculate w.
-2, -1, 1
Let m(o) be the first derivative of -10*o**3/21 + 3*o**2/7 + 4*o/7 + 201. Factor m(u).
-2*(u - 1)*(5*u + 2)/7
Let i(y) be the first derivative of -y**8/420 + y**7/420 + y**6/180 - 19*y**3/3 - 21. Let k(d) be the third derivative of i(d). Factor k(r).
-2*r**2*(r - 1)*(2*r + 1)
Let w(u) = -5*u**2 + 16*u + 9. Let a(c) = -5*c**2 + 15*c + 10. Let i(j) = -6*a(j) + 5*w(j). Solve i(r) = 0 for r.
-1, 3
Find h such that 8*h**4 - 33*h**2 - 5*h**3 - 5*h**2 - 10*h - h**5 - 14*h = 0.
-1, 0, 4, 6
Let w = -479 + 482. Let -3/8*f**w + 3/4*f**2 + 3/8*f**5 + 0 + 0*f - 3/4*f**4 = 0. Calculate f.
-1, 0, 1, 2
Let z(d) be the first derivative of d**4 - 8*d**3/3 + 2*d**2 - 147. Factor z(w).
4*w*(w - 1)**2
Let x(s) = -5*s**2 + 7*s - 4. Let h(a) = 21*a**2 - 27*a + 15. Suppose -4*j + 0 = -5*b + 16, 5*j + 4*b = -61. Let o(d) = j*x(d) - 2*h(d). Factor o(u).
3*(u - 2)*(u - 1)
Suppose 5 - 2*z**2 - 6 - 6 - 12*z - 3 + 0 = 0. What is z?
-5, -1
Suppose -77*k = -78*k + 8. Let s(x) be the first derivative of 80/3*x**3 + k*x**2 + 25*x**4 + 0*x + 6. Factor s(c).
4*c*(5*c + 2)**2
Let t(v) be the first derivative of -v**4/8 - v**3/12 + 41*v**2/8 - 5*v + 523. Factor t(y).
-(y - 4)*(y + 5)*(2*y - 1)/4
Let h(n) be the first derivative of -n**4 - 84*n**3 - 2646*n**2 - 37044*n - 85. Find g such that h(g) = 0.
-21
Factor 2/7*n**2 + 14/3*n - 68/21.
2*(n + 17)*(3*n - 2)/21
Factor 36/5*n - 76/5 + 23*n**2 + 3/5*n**3.
(n + 1)*(n + 38)*(3*n - 2)/5
Let o be (5/(-10))/((-3)/24). Let r be 1 - 21/(-6) - o. Factor -1/6*m**3 - r*m + 1/2*m**2 + 1/6.
-(m - 1)**3/6
Suppose -17 = -5*l - 2. Suppose l*v + 4*m + 6 = 0, -v - 13 = -0*v + 5*m. Solve -3*x**2 - v*x - 7 - 4 + 12 = 0.
-1, 1/3
Let s = 40 - 34. Let z(q) = -7*q**2 - 12*q - 13. Let t(c) = -c**2 - 2*c - 2. Let d(k) = s*z(k) - 39*t(k). Find u, given that d(u) = 0.
0, 2
Let j(v) be the first derivative of v**4/10 + 2*v**3/5 - 338. Determine n, given that j(n) = 0.
-3, 0
Let w be 1/4 + 6 + (-117)/36. Let y(b) be the second derivative of -5/3*b**2 - 12*b - 2/9*b**w + 0 - 1/90*b**4. Factor y(f).
-2*(f + 5)**2/15
Let v = -1047 - -17801/17. Factor 4/17*g**2 + 0*g + 0 - v*g**3.
-2*g**2*(g - 2)/17
Let a be (-13)/12*2 - 184/(-69). Let 1/4*d**5 - 7/4*d - 1/2*d**3 - 2*d**2 + 1/2*d**4 - a = 0. What is d?
-1, 2
Let u be ((-1)/((-5)/4))/((-4)/(-470)). Let 75*x - 26*x**3 - 4 + 80*x**4 - 90*x**2 - 6 - u*x**3 - 25*x**2 = 0. Calculate x.
-1, 1/4, 2
Let f = 144 - 61. Factor 2 - f*u + 35*u**2 - 2 + 73*u.
5*u*(7*u - 2)
Let t(u) be the third derivative of u**5/240 + 7*u**4/24 + 49*u**3/6 + 16*u**2 + 2*u. Solve t(j) = 0 for j.
-14
Let w(l) be the first derivative of -l**5 + 10*l**3/3 - 5*l - 46. Factor w(t).
-5*(t - 1)**2*(t + 1)**2
Factor -1/4*h**2 + 17/4*h + 0.
-h*(h - 17)/4
Suppose 3/2*x**2 + 0 + 18*x = 0. Calculate x.
-12, 0
Let q(c) be the third derivative of -8*c**7/105 + 23*c**6/30 - 14*c**5/5 + 10*c**4/3 + 16*c**3/3 - 88*c**2. Factor q(u).
-4*(u - 2)**3*(4*u + 1)
Let y(f) be the second derivative of 0 - 1/2*f**3 + 1/12*f**4 - 6*f + 0*f**2. Factor y(n).
n*(n - 3)
Let p(b) be the third derivative of 5*b**8/336 - b**7/21 - b**6/6 + b**5/6 + 5*b**4/8 - 82*b**2. What is s in p(s) = 0?
-1, 0, 1, 3
Let -7 - 1/5*x**2 + 12/5*x = 0. Calculate x.
5, 7
Let o(g) be the first derivative of 3*g**4 - 65*g**3 + 408*g**2 - 192*g - 87. Determine u so that o(u) = 0.
1/4, 8
Let g(k) be the first derivative of -k**5/5 + 7*k**4/3 + 2*k**3/3 - 14*k**2 + 8*k - 21. Let o(w) be the first derivative of g(w). Find r, given that o(r) = 0.
-1, 1, 7
Let v be (-88)/(-48) + (12/15 - (-57)/(-90)). Factor -20/3*k**v + 8/3 + 4*k.
-4*(k - 1)*(5*k + 2)/3
Let i(g) be the first derivative of 3*g**5/25 - 93*g**4/10 + 897*g**3/5 + 2976*g**2/5 + 3072*g/5 - 175. Factor i(m).
3*(m - 32)**2*(m + 1)**2/5
Factor 12/5*i - 8/5*i**4 + 1/5*i**5 + 0 - 28/5*i**2 + 23/5*i**3.
i*(i - 3)*(i - 2)**2*(i - 1)/5
Let z = -2546 + 2548. Factor 4 + z*y + 1/4*y**2.
(y + 4)**2/4
Let x = 1807 + -1807. Factor x + 3/2*q**2 + 0*q - 3/2*q**3.
-3*q**2*(q - 1)/2
Suppose 334/11*f + 6/11*f**2 + 20 = 0. What is f?
-55, -2/3
Let f(w) = 6*w**3 + 33*w**2 + 54*w + 30. Let d(i) = -7*i**3 - 34*i**2 - 55*i - 32. Let m(v) = 3*d(v) + 4*f(v). Find q such that m(q) = 0.
-8, -1
Factor 0 + 2/3*g**2 - 8/3*g + 1/3*g**3.
g*(g - 2)*(g + 4)/3
Let l be (-2624)/(-5760) - 2/(-45). Factor -l*f**4 - 5/6*f**2 + 0 + f**3 + 1/12*f**5 + 1/4*f.
f*(f - 3)*(f - 1)**3/12
Let i = -69 - -181. Suppose -2*g = -r + 2*g + i, -r - 2*g + 94 = 0. Factor -6*c - 30*c + 60*c**2 + 6 + r*c**3 + 0 - 2.
4*(c + 1)*(5*c - 1)**2
Let k(x) be the third derivative of -47*x**2 + 0*x - 1/68*x**4 + 1/1020*x**6 + 1/255*x**5 + 0*x**3 + 0. What is q in k(q) = 0?
-3, 0, 1
Let o be 35/44 + -3*(-4)/(-48). Solve -4/11 - 2/11*r**2 - o*r = 0 for r.
-2, -1
Let k(j) be the second derivative of -2*j**7/7 - 2*j**6/15 + 39*j**5/5 + 49*j**4/3 + 8*j**3 + 441*j. Suppose k(l) = 0. Calculate l.
-3, -1, -1/3, 0, 4
Let b(k) be the second 