12 - 13*k. Let v(z) be the third derivative of x(z). Let v(u) = 0. What is u?
0, 1
Suppose 3*c = -40*z + 43*z - 9, 4*z + c - 22 = 0. Factor 0 + 2/9*b + 2/9*b**z + 0*b**4 - 4/9*b**3 + 0*b**2.
2*b*(b - 1)**2*(b + 1)**2/9
Let q(g) be the second derivative of g**4/48 + g**3/8 + 40*g. Determine s so that q(s) = 0.
-3, 0
Let q(d) be the first derivative of -57*d**3 + 16 - 15/2*d**5 - 12*d - 39*d**2 - 285/8*d**4. Find p such that q(p) = 0.
-2, -1, -2/5
Let r be (-6)/(10/(-5)) - 0/4. Factor -2/7*i**2 + 0 - 6/7*i**r - 6/7*i**4 + 0*i - 2/7*i**5.
-2*i**2*(i + 1)**3/7
Let b(f) be the second derivative of f**7/126 - f**6/30 + f**5/20 - f**4/36 + 4*f + 4. What is g in b(g) = 0?
0, 1
Factor 64/9*s + 2/9*s**3 - 40/9 - 26/9*s**2.
2*(s - 10)*(s - 2)*(s - 1)/9
Suppose 7*m - 3*m = 0. Suppose -4*b + 22 = 2*s, -6*s - 25 = -5*b - 8*s. Find i, given that 1/3*i**b - 2/3*i**2 + m + 1/3*i = 0.
0, 1
Determine h so that 8/5*h**2 - 36/5 - 2/5*h**3 + 6/5*h = 0.
-2, 3
Let y be (1 - 2 - 1) + 10. Suppose -10 = 6*o - y*o. Factor -i + 14*i**2 + 4*i - 12*i**2 - o*i.
2*i*(i - 1)
Let n be 4/((-7 - -10) + (-90)/32). Let a = n - 21. Factor 0 + 1/3*i - a*i**2.
-i*(i - 1)/3
Suppose 541*h - 960 + 97 = 219. Determine z so that 4*z + 16/3*z**4 - 16/3*z**h - 8/3*z**3 - 4/3*z**5 + 0 = 0.
-1, 0, 1, 3
Let b(l) = -2*l**2 - 5*l + 1. Let q be b(-4). Let u = 15 + q. Factor w**2 + 1/3*w**u - 1/3*w - w**3 + 0.
w*(w - 1)**3/3
Let w(m) = 2*m**3 - 173*m**2 + 4043*m. Let t(k) = -k**3 + 86*k**2 - 2021*k. Let u(y) = -7*t(y) - 4*w(y). Factor u(h).
-h*(h - 45)**2
Let n(l) = 3*l**2 + 11*l + 13. Let z(b) = -16*b**2 - 60*b - 72. Let p(t) = t**3 - 3*t**2 - t - 2. Let j be p(3). Let v(g) = j*z(g) - 28*n(g). Factor v(a).
-4*(a + 1)**2
Let z(f) be the third derivative of 0 + 0*f + 1/3*f**5 + 1/3*f**4 + 0*f**3 - 4/105*f**7 + 12*f**2 + 1/30*f**6. Factor z(p).
-4*p*(p - 2)*(p + 1)*(2*p + 1)
Let m(w) be the third derivative of 0 - 1/15*w**5 + 0*w - 8/3*w**4 - 40*w**2 - 128/3*w**3. Factor m(o).
-4*(o + 8)**2
Let g be 94/188*1*6. Let s(z) be the first derivative of 1/4*z**4 + z**g + 3/2*z**2 - 7 + z. Factor s(y).
(y + 1)**3
Suppose 3*w - 5*g = 6, 0*w = 2*w + 5*g - 4. Factor 2*x - 4*x**w - 5 + 17 + 20 - 10*x.
-4*(x - 2)*(x + 4)
Let y(f) be the second derivative of f**7/399 - f**6/285 - f**5/95 + f**4/57 + f**3/57 - f**2/19 - 2*f + 3. Factor y(i).
2*(i - 1)**3*(i + 1)**2/19
Let d = 36 - 22. Let c = -14 + 16. Solve -3*k + 8*k**2 + 3 - 3*k**5 + 0*k**2 + 3*k**4 - d*k**c + 6*k**3 = 0 for k.
-1, 1
Let g(f) = 16*f - 8. Let v be g(3). Let d = -38 + v. Factor 0*a + 0 + 1/3*a**3 + 1/3*a**4 + 0*a**d.
a**3*(a + 1)/3
Let z be (-144)/(-9) + 8 - 6*1. Let r(n) be the first derivative of z*n**3 + 0*n + 243/8*n**4 + 13 + 3*n**2. Determine w so that r(w) = 0.
-2/9, 0
Let k be 102 + (2 + 0 - -2). Solve k - 94 - u - u - 2*u**2 = 0.
-3, 2
Let p(c) be the first derivative of -2*c**5/55 + 160*c**4/11 - 25600*c**3/11 + 2048000*c**2/11 - 81920000*c/11 + 449. Find w, given that p(w) = 0.
80
Determine z so that -72*z**3 - 36 - 135*z**2 - 38*z - 72*z - 7*z**4 - 2*z**4 - 10*z + 12*z**3 = 0.
-3, -2, -1, -2/3
Let v(r) = 26*r + 30. Let p be v(-1). Let b(s) be the first derivative of s**4 - 2*s**2 + 1/5*s**5 - 1 - p*s + s**3. Factor b(q).
(q - 1)*(q + 1)*(q + 2)**2
Factor 20 - 4*t**3 + 2*t**2 + 0*t**2 + 26*t**2 - 44*t.
-4*(t - 5)*(t - 1)**2
Suppose 17/4*b + 9/2 - 1/4*b**2 = 0. What is b?
-1, 18
Suppose 5*d - 3*d - 4 = 0. Suppose -17 = -5*r + d*f, 4 - 1 = 2*r + 3*f. Factor -2 + 4*z**2 + 3*z + r*z**4 - 3*z**3 + 0*z - 3*z**2 - 2*z**4.
(z - 2)*(z - 1)**2*(z + 1)
Let h = 87 - 97. Let u be 1/(-2)*5/h. Determine w, given that 1/4*w**5 - 1/4*w**4 - u*w**3 + 1/4*w**2 + 0 + 0*w = 0.
-1, 0, 1
Determine f so that 87*f**2 + 84 + 150*f + 33/2*f**3 = 0.
-2, -14/11
Determine x so that 24/7*x**2 + 30/7*x + 9/7 = 0.
-3/4, -1/2
Let q(t) be the second derivative of t**7/147 + t**6/35 + t**5/35 - t**4/21 - t**3/7 - t**2/7 - 212*t. Suppose q(c) = 0. Calculate c.
-1, 1
Let z be (-50)/(-22) - (11 - 1416/132). Factor -250/7 - 2/7*c**3 - 30/7*c**z - 150/7*c.
-2*(c + 5)**3/7
Let q(x) be the second derivative of 1/12*x**4 + 0 - 11*x - 2/3*x**3 + 0*x**2. Suppose q(y) = 0. Calculate y.
0, 4
Let w be 4*(-54)/(-240)*(-110)/(-264). Factor 0*c + 0 - 3/8*c**4 + w*c**3 + 3/4*c**2.
-3*c**2*(c - 2)*(c + 1)/8
Let k(u) be the first derivative of -3*u**5/5 - 3*u**4/2 - u**3 + 100. Suppose k(r) = 0. What is r?
-1, 0
Find h, given that -124/19*h + 42/19 - 6/19*h**2 = 0.
-21, 1/3
Let f(a) = -a**4 - 6*a**3 + 9*a**2 + 12*a + 2. Let m(r) = -3*r**4 - 19*r**3 + 28*r**2 + 37*r + 7. Let x(p) = 7*f(p) - 2*m(p). Factor x(j).
-j*(j - 2)*(j + 1)*(j + 5)
Let o(t) be the third derivative of -1/100*t**5 + 21*t**2 + 1/10*t**3 - 3/200*t**6 + 0 + 3/40*t**4 + 0*t. Factor o(h).
-3*(h - 1)*(h + 1)*(3*h + 1)/5
Suppose 0 = 3*y + 4*q - 389, -q + 359 = 3*y - 3*q. Let v = -121 + y. Suppose 1/3 - 7/3*a + 5*a**v - 3*a**3 = 0. What is a?
1/3, 1
Factor 8 + 3*j**4 - 12*j**3 + 12*j + j**2 + 7*j**2 + 0*j**2 - j**4 - 18.
2*(j - 5)*(j - 1)**2*(j + 1)
Let w(k) be the third derivative of k**8/2016 - k**6/72 + k**5/18 - 5*k**4/48 + k**3/9 + 172*k**2. Factor w(z).
(z - 1)**4*(z + 4)/6
Let w = -61 - -88. Suppose 3*f + 5*p + 0 + 6 = 0, -4*p - w = -5*f. Determine s, given that -2 + 0*s**f + s**2 - 3*s**3 + 3*s + 0*s**3 + s**4 = 0.
-1, 1, 2
Let m(r) = -54*r - 3. Let o be m(-1). Let -22*f**5 - 75*f**3 + 120*f**4 + 15*f + 3 - 66*f**2 + o*f**2 - 26*f**5 = 0. What is f?
-1/4, 1
Let z(y) be the first derivative of 2 + 1/3*y**3 - 7/2*y**2 + 0*y. Determine m, given that z(m) = 0.
0, 7
Let t(q) = 21*q**4 - 24*q**3 + 3*q**2 - 13*q + 13. Let u(h) = 10*h**4 - 12*h**3 + 2*h**2 - 6*h + 6. Let j = 35 - 48. Let x(v) = j*u(v) + 6*t(v). Factor x(o).
-4*o**2*(o - 2)*(o - 1)
Let q(x) be the first derivative of -14 - 1/3*x**3 + 0*x + x**2. Solve q(u) = 0.
0, 2
Let f(o) be the first derivative of 0*o + 14 - 1/2*o**2 + 1/9*o**3. Factor f(x).
x*(x - 3)/3
Suppose 0*l - 8*l**2 + 4*l**3 + 6 + 32213*l**4 - 4*l - 32211*l**4 = 0. What is l?
-3, -1, 1
Let p(v) be the first derivative of -4/21*v**3 + 0*v + 1/2*v**4 + 4/35*v**5 - 1/3*v**6 - 7 + 0*v**2. Solve p(s) = 0 for s.
-1, 0, 2/7, 1
Suppose -4*i + 8*i = 24. Let o = i - 4. Let -2*u**o + 4*u + 0*u**3 - 10*u**2 + 6*u**3 + 2*u**3 = 0. What is u?
0, 1/2, 1
Let j(t) be the third derivative of 0*t**4 - 9*t**2 + 0*t**5 + 0*t**3 + 0 + 0*t - 1/40*t**6 - 1/70*t**7. Factor j(w).
-3*w**3*(w + 1)
Suppose 0 = -2*y - 3*y + 5, 5*y - 177 = -4*j. Suppose j*k = 44*k. Factor -2/5*m - 6/5*m**2 + k - 6/5*m**3 - 2/5*m**4.
-2*m*(m + 1)**3/5
Let w(s) be the first derivative of s**3/27 - s**2/9 - 5*s/3 + 134. Factor w(u).
(u - 5)*(u + 3)/9
Let y be 6/(-4)*1240/15. Let p = -14 - y. Factor 2*f**5 + 110*f**4 - p*f**4.
2*f**5
Let n(a) be the first derivative of -a**6/14 - a**5/35 + 3*a**4/28 + a**3/21 - 565. Let n(j) = 0. What is j?
-1, -1/3, 0, 1
Suppose -41*v = 14*v. Let t(c) be the first derivative of 0*c**2 + 0*c + 1/18*c**6 + v*c**5 + 0*c**3 - 1 - 1/12*c**4. Factor t(o).
o**3*(o - 1)*(o + 1)/3
Let s(q) = q - 1. Let j(y) = -3*y**2 - 5*y + 35. Let t(n) = -j(n) - 6*s(n). Let h(b) = 3*b**2 - 2*b - 28. Let u(p) = 5*h(p) - 4*t(p). Let u(v) = 0. What is v?
-2, 4
Let g be (-10)/(-26)*12*(-24)/(-60). Determine s, given that -2/13*s**4 - g*s**2 - 12/13*s**3 + 0 - 16/13*s = 0.
-2, 0
Let s(d) be the second derivative of -d**7/504 - 5*d**6/36 - 25*d**5/6 + 43*d**4/12 - 45*d. Let v(y) be the third derivative of s(y). Factor v(g).
-5*(g + 10)**2
Let h(y) be the first derivative of -7*y**6/45 + 44*y**5/75 + 16*y**4/15 - 52*y**3/45 - 5*y**2/3 + 8*y/15 - 58. Let h(n) = 0. Calculate n.
-1, 1/7, 1, 4
Suppose 0 + 0*b - 10/3*b**2 + 2/3*b**3 = 0. What is b?
0, 5
Let y(x) = x + 11. Let f be y(7). Let k = f + -14. Let 3*d**2 - 2*d**4 - 6*d**3 + 2*d**4 + 3*d**k = 0. Calculate d.
0, 1
Let l = -63 + 83. Factor l*n - 9*n**2 - 4*n**2 + 10*n**2 - 2*n**2 - 20.
-5*(n - 2)**2
Suppose -2*h + 19 = -3*l, 0 = -2*h + 17*l - 12*l + 29. Let u(z) be the second derivative of -1/48*z**4 + 0*z**3 - 6*z + 0 + 1/2*z**h. Factor u(q).
-(q - 2)*(q + 2)/4
Let l(h) be the second derivative of h**4/48 - 35*h**3/12 + 1225*h**2/8 + 112*h + 2. Factor l(j).
(j - 35)**2/4
Factor -2187/8*j**2 + 0 - 3/8*j**4 + 0*j + 81/4*j**3.
-3*j**2*(j - 27)**2/8
Let m(f) be the second derivative of 0 + 2/13