 = 0?
-4, 2/3
Factor -92*t**3 + 287*t**3 - 90*t**3 - 53*t**2 - 36 + 23*t - 91*t**3 + 53*t - t**4.
-(t - 9)*(t - 2)**2*(t - 1)
Find d such that -288/7*d + 0 + 48/7*d**2 + 4/7*d**4 + 40/7*d**3 = 0.
-6, 0, 2
Suppose u - 10 = -4*s, -2 = -u - 2*u + 2*s. Let p be 16/40 + (-14)/(-15). Factor 2*x**u - 2*x + p*x**3 - 4/3.
2*(x - 1)*(x + 2)*(2*x + 1)/3
Let s = 3133/18 + -174. Let l(p) be the second derivative of -1/6*p**2 + 0 + s*p**3 + 1/36*p**4 - 1/60*p**5 - 3*p. Factor l(w).
-(w - 1)**2*(w + 1)/3
Let p(n) be the first derivative of 2/5*n**5 - n**2 - 4/3*n**3 + 1/6*n**4 + 0*n + 4. Let u(j) be the second derivative of p(j). Find q such that u(q) = 0.
-2/3, 1/2
Factor -1/4*b**4 + 78*b - 193/4*b**2 + 13/2*b**3 - 36.
-(b - 12)**2*(b - 1)**2/4
Determine o, given that -28*o + 7853*o**3 - 7892*o**3 + 3*o**5 + 12*o**4 - 120*o**2 + 172*o = 0.
-4, 0, 1, 3
Let t(j) = -j**2 + 8*j + 2. Let b be t(8). Factor 1 + 5*l**4 - b*l**3 - 9*l**4 + 2*l + 3*l**4.
-(l - 1)*(l + 1)**3
Suppose 12*d - 58 + 22 = 0. Let v(f) be the second derivative of 0 - 5/42*f**4 + 0*f**2 - 1/147*f**7 + 3/70*f**5 + 2/21*f**d - 4*f + 1/105*f**6. Factor v(j).
-2*j*(j - 1)**3*(j + 2)/7
Let v(b) = -2*b**2 + 2. Let p(d) be the third derivative of d**5/60 - d**4/24 + 34*d**2. Let x(j) = 4*p(j) + v(j). Suppose x(g) = 0. Calculate g.
1
Factor 8 + 99 + 130 + 6*y**2 + 262*y - 65.
2*(y + 43)*(3*y + 2)
Let t = -754/9 - -84. Let c be (-31)/(-18) - (-42)/(-28). Factor c - 2/9*f**2 - 2/9*f**3 + t*f.
-2*(f - 1)*(f + 1)**2/9
Let y(h) = h**3 - 5*h**2 - 9*h + 2. Let i be y(7). Let -3*x - 5*x**3 - 5 + 25*x - 15*x**2 - i*x = 0. Calculate x.
-1
Let h(b) = b**3 - 9*b**2 - 10*b - 4. Let g be h(10). Let j be (-4)/12*6 - (-1 + g). Factor -1/4 + 0*o + 0*o**j + 1/2*o**2 - 1/4*o**4.
-(o - 1)**2*(o + 1)**2/4
Let k(r) be the third derivative of r**5/15 + 2*r**4/3 + 2*r**3 + 6*r**2 - 8. Let k(d) = 0. What is d?
-3, -1
Suppose -5*i + 26 = 4*x - 3, 2*i = 4*x - 22. Let v(w) be the third derivative of 0*w**3 - 1/180*w**4 + 0*w - x*w**2 + 0 - 1/450*w**5. Factor v(o).
-2*o*(o + 1)/15
Let x be (-8)/(-70)*(-28)/(-8). Let c(y) be the first derivative of 0*y + x*y**5 + 2/3*y**2 + 13/12*y**4 + 1/18*y**6 + 1 + 4/3*y**3. Factor c(i).
i*(i + 1)**2*(i + 2)**2/3
Let v be 1 + (-6)/(-12)*21 - 7. Factor 0 + 21/4*n**3 + v*n - 69/4*n**2.
3*n*(n - 3)*(7*n - 2)/4
Let v(b) be the second derivative of b**4/96 + 5*b**3/6 - 41*b**2/16 - b - 25. Factor v(k).
(k - 1)*(k + 41)/8
Suppose 0 = 2*w + 2*g - 18, 78*g = 83*g - 25. Find h, given that -1/7*h**w - 2/7*h + 0*h**2 + 1/7 + 2/7*h**3 = 0.
-1, 1
Determine c, given that -2028*c - 27/4*c**4 - 19773 + 1/4*c**5 + 2483/4*c**2 + 75/4*c**3 = 0.
-6, 13
Let h(o) be the first derivative of -2*o**5/5 + 3*o**4 - 22*o**3/3 + 6*o**2 - 130. Determine a, given that h(a) = 0.
0, 1, 2, 3
Let j(r) be the third derivative of -8*r**2 + 0*r + 1/2*r**4 + 0*r**3 + 1/20*r**5 + 0. What is c in j(c) = 0?
-4, 0
Let y(a) be the third derivative of a**6/220 + 13*a**5/110 - a**4/44 - 13*a**3/11 - 4*a**2 + 34*a. Solve y(l) = 0 for l.
-13, -1, 1
Let y be (-15)/9 - (-247)/78 - 1. Let w(j) be the first derivative of 0*j - 1/3*j**3 + 7 + y*j**2 + 1/20*j**5 - 1/16*j**4. Factor w(r).
r*(r - 2)*(r - 1)*(r + 2)/4
Let n be 1*-4 - -3*9/3. Let i(v) be the second derivative of -4/3*v**2 + 0 + 10/9*v**3 + 7/60*v**5 - 1/90*v**6 - 1/2*v**4 - n*v. What is r in i(r) = 0?
1, 2
Suppose 0 = -4*z - 10*z + 910. Let q = 65 - z. What is d in 0 - 1/3*d**4 + q*d + 1/2*d**3 - 1/2*d**5 + 1/3*d**2 = 0?
-1, -2/3, 0, 1
Let h be 14/63 + 158/(-468). Let a = h - -19/52. Find y, given that 1/2*y - a - 1/4*y**2 = 0.
1
Let q(v) be the third derivative of 1/30*v**5 + 0*v + 0 + 0*v**3 - 22*v**2 + 1/3*v**4. Factor q(m).
2*m*(m + 4)
Let c = -125 - -501/4. Let -c*w**3 + 0 + 0*w + 1/4*w**2 = 0. What is w?
0, 1
Let d(q) be the third derivative of -q**6/60 + 31*q**5/30 - 85*q**4/4 + 75*q**3 + 131*q**2. Factor d(l).
-2*(l - 15)**2*(l - 1)
Suppose 3*c = -97 + 112. Suppose -4*r - 4 = b - 10, 0 = c*b + r - 11. Factor -3/4*k**b + 1/4 + 1/2*k**3 + 0*k.
(k - 1)**2*(2*k + 1)/4
Let y(i) be the second derivative of 0*i**3 + 1/4*i**5 + 0*i**2 + 0*i**4 + 1/6*i**6 + 36*i + 0. Factor y(m).
5*m**3*(m + 1)
Let d be ((-75)/90)/(20/(-32)). Let h(p) = 2*p - 6. Let m be h(4). Factor -2/3*b**m + d*b + 2.
-2*(b - 3)*(b + 1)/3
Let s(a) be the second derivative of -361*a**6/72 - 19*a**5/6 - 5*a**4/6 + 5*a**3/6 - 2*a. Let h(q) be the second derivative of s(q). Solve h(y) = 0 for y.
-2/19
Let h(j) = 2*j - 4. Let w be h(13). Let o be 62/22 + -3 + 92/w. Factor 0*p + 0 + 2*p**o + 3/2*p**3 - 1/2*p**2.
p**2*(p + 1)*(4*p - 1)/2
Let v = 586/45 - 64/5. Let d = 8 + -5. Factor v*y**2 + 0*y - 1/3*y**d + 0 + 1/9*y**4.
y**2*(y - 2)*(y - 1)/9
Suppose -13*l = k - 12*l - 3, k - 2*l = 0. Let t(o) be the first derivative of -2/3*o**3 + 7/4*o**4 + 6 - 7/12*o**6 + 1/5*o**5 + o - 7/4*o**k. Solve t(c) = 0.
-1, 2/7, 1
Let l be 0 + (-4)/8 - (-2974)/(-20). Let t = l - -151. What is n in -21/5*n**4 + 0 - 3*n**3 + 0*n - 3/5*n**2 - t*n**5 = 0?
-1, -1/3, 0
Let t be (-8)/22*(-212)/424. Factor -6/11*i**2 - 6/11*i - 2/11*i**3 - t.
-2*(i + 1)**3/11
Let q be 49/(-980)*(-5)/21. Let o(u) be the second derivative of -u - 1/42*u**3 + 0 + 0*u**2 - q*u**4. Factor o(s).
-s*(s + 1)/7
Let p(i) = i**3 + 3*i**2 + 4*i + 11. Let a be p(-3). Let k be -1*(-2)/10*(-4)/a. Find f such that 2/5*f**5 + k*f**2 + 0 - 4/5*f**4 - 2/5*f + 0*f**3 = 0.
-1, 0, 1
Let d(x) be the third derivative of x**5/90 - x**4/18 + x**3/9 + 66*x**2. Factor d(f).
2*(f - 1)**2/3
Let j = 403 + -242. Let k be (-4)/1 - (-690)/j. Solve -1/7*f**2 - 1/7*f + k = 0.
-2, 1
Factor 0*s + 108/5*s**2 + 4/5*s**4 - 48/5*s**3 + 0.
4*s**2*(s - 9)*(s - 3)/5
Factor -157 - 24*z + 355 + 3*z**2 - 150.
3*(z - 4)**2
Let y(q) = 5*q + 0*q**2 - 6*q - 2*q**2 + q**2 + 1. Let w(a) = -4*a**2 - 14*a + 6. Let s(n) = -w(n) + 6*y(n). Let s(u) = 0. Calculate u.
0, 4
Suppose 5*u - 2*u + 48 = 0. Let h be u/16*(1 - 3). Factor -3*a + a**h - 5*a**2 - 4*a**2 - a**3 + 5*a**2 - 1.
-(a + 1)**3
Let x(i) be the third derivative of 0 - 1/1050*i**7 - 1/30*i**3 + 0*i - 1/150*i**6 - 1/50*i**5 + 9*i**2 - 1/30*i**4. Solve x(j) = 0.
-1
Let z(f) be the first derivative of -1/4*f**4 + 1/4*f**3 + 0*f + 1/8*f**2 - 19. Factor z(j).
-j*(j - 1)*(4*j + 1)/4
Determine d so that -20*d**4 - 4*d**5 + 8*d**4 - 60*d**4 - 400*d + 135*d**2 - 244*d**3 + 585*d**2 = 0.
-10, 0, 1
Let b(o) be the second derivative of o**7/14 + 13*o**6/10 + 93*o**5/20 + 7*o**4/4 - 16*o**3 - 30*o**2 - 2*o + 60. What is m in b(m) = 0?
-10, -2, -1, 1
Let w(c) be the first derivative of 3*c**5/5 - 21*c**4/4 + 9*c**3 + 81*c**2/2 - 162*c - 187. Factor w(m).
3*(m - 3)**3*(m + 2)
Let m(z) = -5*z**4 - z**3 + 7*z**2 - 6*z + 3. Let u(v) = -14*v**4 - 2*v**3 + 20*v**2 - 16*v + 8. Let g(y) = -8*m(y) + 3*u(y). Suppose g(h) = 0. What is h?
-1, 0, 2
Let t be 204/14 - (-23 + 28). Let w = -547/63 + t. Determine z, given that -w*z - 2/9*z**2 - 2/3 = 0.
-3, -1
Let k(p) be the third derivative of 0*p - 3/320*p**6 + 21*p**2 - 1/64*p**4 - 3/160*p**5 - 1/560*p**7 + 0 + 0*p**3. Factor k(x).
-3*x*(x + 1)**3/8
Let j(x) be the third derivative of -x**6/108 + x**5/60 + 5*x**3/2 - 12*x**2. Let l(w) be the first derivative of j(w). Let l(g) = 0. What is g?
0, 3/5
Let 32/11 - 8/11*w**2 + 2/11*w**3 - 8/11*w = 0. Calculate w.
-2, 2, 4
Determine o so that -44 - 741*o**2 - 36 + 245*o**4 + 560*o - 140*o**3 - 219*o**2 = 0.
-2, 2/7, 2
Let o(y) be the third derivative of -y**6/12 - 11*y**5/4 - 335*y**4/24 + 35*y**3 - 427*y**2 + 2*y. Let o(j) = 0. Calculate j.
-14, -3, 1/2
Let q = -5 + 15. Let f be q/3 + (-8)/24. Let -3 + 5*o**3 - 87*o**2 + f + 82*o**2 = 0. What is o?
0, 1
Suppose 2*y = 3*f - 11, -y + 0*y + 12 = 2*f. Factor 2 + 4*l**3 + 8*l**4 - 2 - 6*l**4 + 2*l**y.
2*l**2*(l + 1)**2
Let n(v) be the third derivative of 7*v**6/30 - 86*v**5/15 + 101*v**4/6 - 44*v**3/3 - 2*v**2 + 79*v. Determine o so that n(o) = 0.
2/7, 1, 11
Let n(g) be the second derivative of -g**7/7560 - g**6/720 + 23*g**4/12 - 24*g. Let x(c) be the third derivative of n(c). Determine a so that x(a) = 0.
-3, 0
Let g(w) be the first derivative of -4/9*w - 1/9*w**2 - 2/45*w**5 + 1 + 2/9*w**3 + 1/18*w**4. Find y such that g(y) = 0.
-1, 1, 2
Let z(m) be the third derivative of -m**6/24 - 5*m**5/6 + 5*m**4/24 + 25*m**3/3 + m**2 - 31. Factor z(i).
-