 f(p).
-2*p*(p - 1)*(7*p - 2)
Let x(g) be the third derivative of 0*g**3 + 0 - 1/15*g**5 + 1/84*g**8 + 0*g**4 + 1/10*g**6 + 9*g**2 - 2/35*g**7 + 0*g. Determine m, given that x(m) = 0.
0, 1
Let t be (-1*(-9 - -3))/(21/28). Find j such that -2*j - 32*j**2 + t*j + 15*j - 2 - 5*j = 0.
1/4
Let l(n) = -1. Let v(i) = -2*i**2 + 90*i + 239. Let f(b) = b**2 - 30*b - 80. Let t(q) = 11*f(q) + 4*v(q). Let d(y) = l(y) + t(y). Find p, given that d(p) = 0.
-5
Factor -8/11*l - 8/11 + 2/11*l**2 + 2/11*l**3.
2*(l - 2)*(l + 1)*(l + 2)/11
Let z(g) be the third derivative of g**5/20 - g**4/8 + 58*g**2. Find u, given that z(u) = 0.
0, 1
Factor 2/11*o + 10/11*o**2 + 0 + 16/11*o**3 + 8/11*o**4.
2*o*(o + 1)*(2*o + 1)**2/11
Let y be (80/60)/((-4)/(-6)). Suppose 2*s - 2 = -4*w + y, 0 = -2*w + 2. What is z in 0*z**2 + 2/13*z + s - 2/13*z**3 = 0?
-1, 0, 1
Let g = 2/1029 - -81/343. Let c = g - -17/105. Factor -c*l**2 + 2/5*l + 4/5.
-2*(l - 2)*(l + 1)/5
Let q(v) = 7*v**2 + 8*v + 3. Let a = -98 - -90. Let d(u) = -20*u**2 - 24*u - 8. Let r(z) = a*q(z) - 3*d(z). Factor r(h).
4*h*(h + 2)
Let d(g) be the first derivative of -g**8/112 + 25*g**7/504 - g**6/18 - g**5/18 + 11*g**3 - 11. Let q(y) be the third derivative of d(y). Solve q(o) = 0.
-2/9, 0, 1, 2
Suppose -6*j**2 - 98*j - 62*j + 678 + j**2 - 1958 = 0. What is j?
-16
Let k(q) be the first derivative of 1/40*q**6 + 0*q - 2*q**2 + 3 + 27/8*q**4 + 27/2*q**3 + 9/20*q**5. Let f(g) be the second derivative of k(g). Factor f(w).
3*(w + 3)**3
Let x(d) be the second derivative of d**6/75 - d**5/25 - d**4/10 + 8*d**3/15 - 4*d**2/5 + 75*d. Factor x(p).
2*(p - 2)*(p - 1)**2*(p + 2)/5
Let g = -600 - -606. Let c(p) be the second derivative of -11/15*p**3 + 0 + g*p + 2/5*p**2 + 7/30*p**4 - 3/25*p**6 + 11/50*p**5. Find b, given that c(b) = 0.
-1, 2/9, 1
Let y = 19 - 17. Factor 14*r + 15*r**y + 9/2*r**3 + 4.
(r + 2)*(3*r + 2)**2/2
Let x(p) be the first derivative of -p**6/18 - 11*p**5/15 - 3*p**4/4 + 11*p**3/9 + 5*p**2/3 + 190. Let x(z) = 0. Calculate z.
-10, -1, 0, 1
Let i be 896/420 + (-1 + 4)/(3/(-2)). What is x in i*x**4 + 2/15*x**2 - 8/15*x**3 + 0 + 4/5*x = 0?
-1, 0, 2, 3
Let i(f) be the first derivative of -f**4/3 - 16*f**3/3 - 32*f**2 - f + 7. Let q(b) be the first derivative of i(b). Factor q(z).
-4*(z + 4)**2
Let y(l) = 7*l - 49. Let p be y(7). Suppose -n = -p*n - 0*n. Let 0*r - 1/8*r**4 - 1/8*r**2 + n + 1/4*r**3 = 0. What is r?
0, 1
Let w(q) = -q**3 - q**2 - 1. Let g(j) = 3*j**3 - j**2 + 3*j + 1. Let v = 16 - 11. Let h = -4 + v. Let b(n) = h*g(n) + 2*w(n). Factor b(l).
(l - 1)**3
Let m(d) be the second derivative of d**8/2856 - 4*d**7/1785 + d**6/255 + 2*d**2 - 19*d. Let o(z) be the first derivative of m(z). Find v, given that o(v) = 0.
0, 2
Let n be (-34)/(17136/(-54))*1/((-6)/(-21)). Determine d so that -1/2*d - n - 1/8*d**2 = 0.
-3, -1
Find b, given that -1/3*b**2 + 29/3*b + 0 = 0.
0, 29
Factor -1/7*g**2 + 0 + 4/7*g.
-g*(g - 4)/7
Factor -117*d**4 + 4*d - 25*d**2 - 20*d**3 + 112*d**4 - 14*d.
-5*d*(d + 1)**2*(d + 2)
Let z(u) = 50*u**3 + 5160*u**2 - 4152*u + 832. Let j(s) = 50*s**3 + 5160*s**2 - 4152*s + 832. Let b(g) = 6*j(g) - 5*z(g). Let b(p) = 0. What is p?
-104, 2/5
Let n(a) = 20*a**3 + 85*a**2 + 312*a - 405. Let u(c) = 25*c**3 + 85*c**2 + 311*c - 405. Let o(b) = 4*n(b) - 3*u(b). Factor o(i).
5*(i - 1)*(i + 9)**2
Factor -94/7*f**2 - 14 - 194/7*f + 2/7*f**3.
2*(f - 49)*(f + 1)**2/7
Suppose -60 = -20*h + 60. Let s(r) = 5*r**3 - 15*r**2 - 17*r - 11. Let g(b) = 2*b**3 - 7*b**2 - 8*b - 5. Let d(j) = h*s(j) - 14*g(j). Solve d(t) = 0 for t.
-2, -1
Let x(k) be the first derivative of k**6/2880 - k**5/320 + k**4/96 - 6*k**3 + 3. Let h(j) be the third derivative of x(j). What is q in h(q) = 0?
1, 2
Let w(y) be the first derivative of 3/8*y**2 - 17 - 1/4*y**3 + 3/2*y. Determine t so that w(t) = 0.
-1, 2
Suppose 4 = 5*f - f. Let i be (8/(-4))/((-1)/f). Find d such that -6*d + 3*d**3 - 4*d**3 + d**i + 6*d + 2*d = 0.
-1, 0, 2
Let j be 5 - (-7)/14*-6. Let y(u) be the third derivative of -2/315*u**7 - 5*u**j + 0*u**3 + 0 - 2/45*u**5 + 0*u - 1/36*u**4 - 1/36*u**6. Factor y(i).
-2*i*(i + 1)**2*(2*i + 1)/3
Let t(l) = l - 21. Let g be t(9). Let c = 14 + g. Find n, given that 3*n + 0*n + 4*n**c - 2*n - 3*n**2 = 0.
-1, 0
Factor 2 + 2/9*u**2 + 4/3*u.
2*(u + 3)**2/9
Let t = -13/144 + 5/16. Let x(c) be the first derivative of 0*c**2 + 0*c + 1/6*c**4 - 3 + t*c**3. Factor x(n).
2*n**2*(n + 1)/3
Let f(r) be the third derivative of r**5/390 + 29*r**4/78 + 841*r**3/39 - 126*r**2. Factor f(x).
2*(x + 29)**2/13
Suppose -61 = -4*r - 9. Factor -13*h - h**2 + r*h - 25 - 10*h.
-(h + 5)**2
Let h(k) be the first derivative of k**3/18 - k**2/2 - 8*k/3 + 469. Determine w so that h(w) = 0.
-2, 8
Let u(q) = -3*q**4 + 3*q**3 + 3*q**2 - 3*q - 4. Let t(d) = -8*d**4 + 8*d**3 + 8*d**2 - 8*d - 11. Let a(h) = 4*t(h) - 11*u(h). Factor a(f).
f*(f - 1)**2*(f + 1)
Let n be (60/(-220))/(3/(-33)). Let -i**2 - 1/5*i**4 - 4/5*i**n + 0 - 2/5*i = 0. Calculate i.
-2, -1, 0
Let j(q) be the second derivative of -q**4/48 - 83*q**3/24 + 21*q**2/2 - 236*q. Factor j(s).
-(s - 1)*(s + 84)/4
Suppose -284*u + 245*u = -156. Let l(j) be the second derivative of 1/5*j**2 - 10*j + 0 - 1/30*j**u + 0*j**3. Solve l(t) = 0.
-1, 1
Let p = -6617/35 + 1329/7. Factor 0 + p*c**3 - 4/5*c + 0*c**2.
4*c*(c - 1)*(c + 1)/5
Suppose 2*j = -3*u + 13, 2*j - 5*u = -10 - 1. Find i, given that -9*i - 27 - 3/4*i**j = 0.
-6
Let a(z) = 2*z**3 + z**2 - 15*z. Let g be a(0). Solve -4/3*j**2 + g + 8/3*j = 0 for j.
0, 2
Let p(m) be the second derivative of m**4/3 - 52*m**3 + 9*m - 11. Factor p(l).
4*l*(l - 78)
Let t = -55 + 91. Let j be (-17)/(-2) + (-9)/(t/16). Suppose 3/2*q**3 + 9/2*q - j*q**2 - 3/2 = 0. What is q?
1
Solve 6845 + 6110*t**2 + 360*t**3 - 1043*t**4 + 1048*t**4 - 1211*t - 12109*t = 0 for t.
-37, 1
Let b(l) = -106*l - 2117. Let m be b(-20). Factor -18*c + 33/2*c**2 - 3*c**m - 27/2.
-3*(c - 3)**2*(2*c + 1)/2
Let l(b) be the first derivative of 3*b**4/4 - 171*b**3 + 29241*b**2/2 - 555579*b - 141. Find w, given that l(w) = 0.
57
Suppose 4/7*d**3 - 2/7*d - 5/7*d**2 + 0 + 3/7*d**4 = 0. Calculate d.
-2, -1/3, 0, 1
Suppose -5*m - 5*m = -80. Factor 0*j**3 - m + 65*j + 4*j**3 - 77*j.
4*(j - 2)*(j + 1)**2
Let j(g) be the second derivative of -g**6/300 + 2*g**5/25 - g**4/2 - 16*g**3/15 + 64*g**2/5 + 8*g - 4. Find r, given that j(r) = 0.
-2, 2, 8
Let r be 0/82*2/(-10). Find k such that -1/8*k**5 - 1/4*k**2 + 3/8*k**3 + 0 + 0*k + r*k**4 = 0.
-2, 0, 1
Let f be ((-2)/3)/(2/(-9)). Determine b so that -3*b**2 - 8*b + 8*b + 3*b**f = 0.
0, 1
Suppose -g**3 + 8*g**3 - 318*g**2 + 82 + 468*g + 20*g**3 + 38 = 0. What is g?
-2/9, 2, 10
Let n(b) = -16*b**4 + 16*b**3 + 8*b**2 - 20*b + 4. Let u(f) = f**4 + f**3 + f**2 + f. Let j(q) = -2*n(q) - 4*u(q). Suppose j(x) = 0. Calculate x.
-1, 2/7, 1
Let g(u) = -u + 2. Let i be g(0). Let r be 6/(-4) - (-247)/130. Factor r*f**i - 2/5*f**4 + 0*f**3 + 0 + 0*f.
-2*f**2*(f - 1)*(f + 1)/5
Let l(b) be the third derivative of 5*b**8/2016 + b**7/126 - b**6/9 - b**5/36 + 25*b**4/48 - 546*b**2. Suppose l(o) = 0. Calculate o.
-5, -1, 0, 1, 3
Let g(v) be the first derivative of -v**6/120 + v**5/12 - v**4/3 + 2*v**3/3 - v**2/2 + v + 58. Let i(q) be the second derivative of g(q). Factor i(w).
-(w - 2)**2*(w - 1)
Suppose -15*s + 12*s + 6 = 0. Find c, given that -295*c**2 - c - 4*c - 15*c**3 - 5*c**4 + 280*c**s = 0.
-1, 0
Factor -3/2*x**3 - 9/2*x**2 + 5/2*x**4 - 1/2*x**5 + 0*x + 0.
-x**2*(x - 3)**2*(x + 1)/2
Let x(d) = 5*d**2 - 4*d**2 + 14 + 10*d - 2*d**2. Let r be x(11). Factor -25*t**4 + 22*t**4 - r*t**2 - 6*t**3 - t + t.
-3*t**2*(t + 1)**2
Let q(t) = t**3 + 11*t**2 + 6. Let j be q(-11). Let c be 14/j + 8/(-6) + 1. Find h such that 7/4*h**3 - 1/2 - 7/4*h + 1/2*h**c = 0.
-1, -2/7, 1
Let d(x) = -x**2 - 11*x + 2. Let g be d(-11). Factor -h**3 + 53 - 10*h**g - 53 - 4*h**3.
-5*h**2*(h + 2)
Let x = -602/5 - -4229/35. What is t in 1/7*t + 0 + 1/7*t**4 + 3/7*t**3 + x*t**2 = 0?
-1, 0
Let x = 42997/4 - 10749. What is h in x*h**2 + 0*h + 0 = 0?
0
Let b(h) = 3*h**4 + 13*h**3 + 5*h. Let t(s) = 6*s**2 + 2*s**4 - 6*s**2 + s + s + 6*s**3. Let y(j) = -2*b(j) + 5*t(j). Factor y(m).
4*m**3*(m + 1)
Let r(q) be the first derivative of 9*q**4/4 - q**3 - 6*q - 27. Let c(f) = 8*f**3 - 2*f**2 - f - 5. Let i(l) = 6*c(l) - 5*r(l). Sup