) = 3*d**3 - 12*d + 11. Let k be r(1). Factor 12/5*b**k - 8/5*b - 8/5*b**3 + 2/5 + 2/5*b**4.
2*(b - 1)**4/5
Let v(k) = k. Let r(p) = 4*p**2 - 3*p**2 - 3*p**2 - 8*p - 2*p**2. Let o(u) = r(u) + 4*v(u). Find d such that o(d) = 0.
-1, 0
Let g = 1038 + -5187/5. Factor -2/5 + o - g*o**2 - 1/5*o**3 + 1/5*o**4.
(o - 1)**3*(o + 2)/5
Let c = 71 + -72. Let d be (c/(-7))/(0 - (-8)/8). Find b, given that 1/7 - 2/7*b**2 + d*b = 0.
-1/2, 1
Suppose 4*k + 5*m = 2*k, 4*k = 5*m + 30. Factor 10*y**3 - 5*y - 2*y**5 - k*y**4 + 0*y + 10*y**2 + y**5 - 4*y**5 - 5.
-5*(y - 1)**2*(y + 1)**3
Find r, given that 4/5*r**4 + 0 - 52/5*r**2 + 0*r**3 + 48/5*r = 0.
-4, 0, 1, 3
Factor -28/5*z - 2/5*z**3 + 0 + 6*z**2.
-2*z*(z - 14)*(z - 1)/5
Let z(f) be the first derivative of -f**4/7 - 40*f**3/21 + 2*f**2/7 + 40*f/7 + 197. Solve z(c) = 0 for c.
-10, -1, 1
What is y in -33*y**2 - 2*y**3 + 0*y**3 + 31*y**2 + 12*y = 0?
-3, 0, 2
Let u = 4469 - 84905/19. Solve -6/19*l + 2/19*l**2 + u*l**3 + 0 - 2/19*l**4 = 0 for l.
-1, 0, 1, 3
Let y be -3 + 1/1 + 71. Factor -2560*n + 5*n**4 + 59*n**3 + 960*n**2 - y*n**3 - 110*n**3.
5*n*(n - 8)**3
Let q(i) be the first derivative of -4/5*i**5 + 4/3*i**3 + 0*i**2 + 0*i - 15 + 0*i**4. Factor q(b).
-4*b**2*(b - 1)*(b + 1)
Factor 4/5*r**4 + 44/5*r**3 + 96/5*r**2 - 144/5*r + 0.
4*r*(r - 1)*(r + 6)**2/5
Let -138/11*g**3 - 36/11*g**2 + 0 - 18/11*g**5 - 96/11*g**4 + 0*g = 0. What is g?
-3, -2, -1/3, 0
Let k(d) be the first derivative of -55566*d**5/5 - 5292*d**4 - 1008*d**3 - 96*d**2 - 32*d/7 - 155. Factor k(h).
-2*(21*h + 2)**4/7
Let h(u) = 30810*u - 30841*u - 143 + 8 + u**2. Let g be h(35). Solve 0 - 2/5*m**3 + m**4 + 0*m + 0*m**2 - 2/5*m**g = 0.
0, 1/2, 2
Let q = 611/126 + -22/63. Determine j so that -3/2*j**2 - q - 6*j = 0.
-3, -1
Let j = -6269/3 + 31351/15. Factor 3/5 + j*k - 1/5*k**2.
-(k - 3)*(k + 1)/5
Let d(u) be the third derivative of -14*u**2 + 0*u - 1/90*u**4 + 0 - 1/45*u**3 - 1/450*u**5. Suppose d(h) = 0. Calculate h.
-1
Let z(i) = 12*i**3 + 92*i**2 + 165*i - 59. Let k(q) = -q - 1. Let a = 65 + -64. Let l(n) = a*z(n) + 5*k(n). Determine h, given that l(h) = 0.
-4, 1/3
Let o(b) = 4*b**3 + b. Let r be o(-1). Let m be ((-198)/60 - -3)/(1/r). Solve -m*j**2 + 3/4*j + 3/4 = 0 for j.
-1/2, 1
Suppose 3*b = 2*b + 29. Factor b*z - 22*z + 10*z**3 - 34*z**2 + 25*z - 8.
2*(z - 2)*(z - 1)*(5*z - 2)
Let r(t) be the second derivative of t**5/20 + t**4/2 - t**3/6 - 3*t**2/2 + 5*t. Let v be r(-6). Factor -l - 3*l**3 + v*l**2 + 4*l + 6 - 9.
-3*(l - 1)**2*(l + 1)
Let q = 19 + -29. Let k(r) = -r**3 - 9*r**2 + 11*r + 12. Let u be k(q). Factor 4*z - 7*z - u + 6*z - z**2.
-(z - 2)*(z - 1)
Let x(j) be the second derivative of 4*j**7/147 + j**6/15 - 9*j**5/70 - 13*j**4/42 + 5*j**3/21 + 6*j**2/7 + 15*j + 5. Suppose x(w) = 0. What is w?
-2, -1, -3/4, 1
Let h(m) = m + 9. Let c be h(-7). Let u(o) be the second derivative of 0 - 4*o + 1/30*o**4 + 1/15*o**3 - 2/5*o**c. Factor u(n).
2*(n - 1)*(n + 2)/5
Let y be 3/((-4)/(16/(-6))). Let j be 6 - (y + 4 + -2). Factor -21*g**j - 5 + 20*g + 1 + 5*g**2 + 0.
-4*(g - 1)*(4*g - 1)
Let l be (1 - (4 + -2)) + -197. Let z be -3 - 1 - l/45. Determine q so that 0 + 8/5*q**3 + 4/5*q + z*q**4 + 2*q**2 = 0.
-2, -1, 0
Suppose 9*f - 10*f + 31 = 0. Factor -f*w**2 + 4 - w**3 + 14*w**2 - 8*w + 22*w**2.
-(w - 2)**2*(w - 1)
Let r(k) be the second derivative of k**4/6 + 13*k**3/3 - 14*k**2 - 352*k. Let r(g) = 0. What is g?
-14, 1
Let s(x) = x**3 + 13*x**2 + 12*x + 14. Let c be s(-12). Let m = c - 12. Solve 2 + 0*g**2 - g - g**m + 2*g + 0*g = 0.
-1, 2
Let l = -73 + 68. Let k(p) = -7*p**2 - 37*p - 123. Let x(c) = 6*c**2 + 36*c + 124. Let f(h) = l*x(h) - 4*k(h). Factor f(m).
-2*(m + 8)**2
Let l(g) be the third derivative of -g**8/1176 - 2*g**7/245 - g**6/140 + g**5/21 - g**2 + 7. Find h such that l(h) = 0.
-5, -2, 0, 1
Let p be 126/(-72) - 49/(-28). Let v(m) be the second derivative of 5/3*m**3 - 5/3*m**4 + 5/2*m**2 - 1/2*m**5 + p + 2*m + 1/2*m**6. Let v(n) = 0. What is n?
-1, -1/3, 1
What is b in 20*b**2 + 42*b - 36 - 8*b**5 + 9*b**4 - 40*b**3 + 7*b**4 + 6*b**5 = 0?
-1, 1, 2, 3
Solve 44/3*b**2 + 44/3*b**3 - 12*b**5 + 0 - 20*b**4 + 8/3*b = 0 for b.
-2, -1/3, 0, 1
Let f = -24234 - -24234. Factor -2/9*h**3 + 2/9*h + f + 0*h**2.
-2*h*(h - 1)*(h + 1)/9
Let c(l) be the second derivative of 7*l**5/20 + 85*l**4/36 + 44*l**3/9 + 2*l**2/3 - 341*l. Factor c(d).
(d + 2)**2*(21*d + 1)/3
Let o be -5 + (-13)/((-4680)/1809). Let h(y) be the third derivative of 0*y**3 - 3/100*y**5 + 0*y - 3/200*y**6 - 1/350*y**7 + 9*y**2 - o*y**4 + 0. Factor h(x).
-3*x*(x + 1)**3/5
Let g(o) = -44*o + 1320. Let d be g(30). Factor -4/3*l - 2/3*l**2 + d + 2/3*l**3.
2*l*(l - 2)*(l + 1)/3
Factor 0 + 2/5*p**2 - 56/5*p.
2*p*(p - 28)/5
Determine m, given that -4*m**5 + 64*m**2 - 7*m**3 + 26*m**3 + 29*m**3 = 0.
-2, 0, 4
Let l(g) be the third derivative of g**7/105 + 11*g**6/120 + g**5/30 - g**4/4 - 2*g**3/3 - 21*g**2. Let d(h) = h**3. Let u(r) = 10*d(r) - 2*l(r). Factor u(s).
-4*(s - 1)*(s + 1)**2*(s + 2)
Let t(u) be the second derivative of -u**4/18 - 86*u**3/9 - 1849*u**2/3 - u + 7. Let t(p) = 0. What is p?
-43
Let w(u) = u**3 + 7*u**2 + 6*u + 4. Let y be w(-6). Suppose -8 = -6*r + y. Suppose -2/5*a**r + 0 + 2/5*a = 0. Calculate a.
0, 1
Let g(s) = -s**5 + s**4 + s**3 - 4*s**2 - 3*s + 3. Let b(f) = -f**5 + f**4 + f**3 - 3*f**2 - 2*f + 2. Let q(l) = -3*b(l) + 2*g(l). Suppose q(y) = 0. What is y?
-1, 0, 1
Let g(y) = 2*y**2 - 38*y + 204. Let r be g(7). Suppose 2/3*f**4 - 54*f + 30*f**2 - 22/3*f**3 + r = 0. Calculate f.
2, 3
Let q(r) be the first derivative of 0*r - 1/3*r**3 - 27 + 0*r**4 + 0*r**2 + 1/5*r**5. Solve q(m) = 0.
-1, 0, 1
Let q(o) be the first derivative of -o**4/12 + 2*o**2/3 + 89. Factor q(u).
-u*(u - 2)*(u + 2)/3
Let k(q) be the third derivative of -q**5/60 + 5*q**4/12 + 28*q**3/3 + 35*q**2. Let x be k(-4). Factor 0 - 1/10*g**2 - 1/10*g**3 + x*g.
-g**2*(g + 1)/10
Suppose 0 = t - 25*t + 48. Let s(d) be the third derivative of 0 + 0*d**3 - 1/60*d**6 + 4*d**t + 1/12*d**4 + 0*d + 0*d**5. Suppose s(v) = 0. Calculate v.
-1, 0, 1
Determine t, given that -7290*t**4 + t**5 + 2*t**2 - 2 + t + 7289*t**4 + 1 - 2*t**3 = 0.
-1, 1
Let p(q) = -16*q**4 + 12*q**3 + 47*q**2 + 24*q - 5. Let t(f) = -57*f**4 + 42*f**3 + 165*f**2 + 84*f - 18. Let d(c) = 18*p(c) - 5*t(c). Let d(r) = 0. What is r?
-1, 0, 4
Suppose q + 4*n + 5 = 0, 0 = -4*q - 0*q + n + 14. Suppose c + 3 = 2*z + 33, -5*c - q*z = -202. Solve -c*y - 5*y**3 - 10*y**2 + 10 + 13*y + 30*y**2 = 0.
1, 2
Let b be 0/2 + 8/20. Let x = -288/5 - -292/5. Factor -8/5*d**2 - b*d**3 - 2*d - x.
-2*(d + 1)**2*(d + 2)/5
Let s(v) be the first derivative of v**6/100 + v**5/10 + 2*v**4/5 + 4*v**3/5 + 9*v**2/2 - 7. Let q(n) be the second derivative of s(n). Factor q(g).
6*(g + 1)*(g + 2)**2/5
Let f(m) be the second derivative of 3*m**5/80 - 123*m**4/16 + 3843*m**3/8 - 11163*m**2/8 - 422*m. Let f(t) = 0. Calculate t.
1, 61
Let f(v) be the first derivative of 5*v**4/8 + 25*v**3/6 + 10*v**2 + 10*v + 137. Suppose f(z) = 0. Calculate z.
-2, -1
Let i = -6 - -3. Let z(l) = 2*l**2 - 2*l - 2. Let j(d) = -d**2 + 2 + 1 + 301*d - 299*d - d**2. Let k(f) = i*z(f) - 2*j(f). Factor k(r).
-2*r*(r - 1)
Let h(b) be the first derivative of -3*b**5/5 - 27*b**4/2 - 120*b**3 - 528*b**2 - 1152*b - 384. Factor h(s).
-3*(s + 4)**3*(s + 6)
Let u be (1/2)/(((-9)/(-3))/1). Let p(j) be the first derivative of 6 + 1/36*j**6 - 7/18*j**3 + 3/8*j**4 - 1/6*j**5 + 0*j + u*j**2. Let p(q) = 0. What is q?
0, 1, 2
Suppose -11*u - 13*u = -7*u. Let i(b) be the second derivative of 1/6*b**4 + b**2 + u - 2/3*b**3 + 4*b. Factor i(z).
2*(z - 1)**2
Find x such that -33 - x**2 - 16*x - 6*x + 4*x**2 + 0*x - 8*x = 0.
-1, 11
Let f = 542 + -537. Let l(r) be the third derivative of -2*r**2 + 0*r + 1/20*r**f + 0 + 0*r**3 + 0*r**4. Suppose l(x) = 0. What is x?
0
Determine m, given that 22/3*m**2 - 64/3*m + 56/3 - 2/3*m**3 = 0.
2, 7
Suppose 3*h - 10*h + 168 = 0. Let o be (h/18 + 0)/(1/3). Let 0*f + 16/3*f**3 + 8/3*f**2 + 2/3*f**5 + 10/3*f**o + 0 = 0. What is f?
-2, -1, 0
Factor -v**5 - 212*v + 8 - 104*v**4 + 29*v**5 + 127*v**3 - 64*v**2 + 9*v**3 + 208*v.
4*(v - 1)**4*(7*v + 2)
Let k(v) be the third derivative of -v**8/112 + v**7/35 + v**6/20 - 2*v**5/5 + 7*v**4/8 - v**3 + 6*v**2. Solve k(n) = 0 for n.
-2, 1
Suppose -11*p