x - 4*c - 2. Factor 2/3*i**x + 2/9*i**4 - 4/9 + 2/9*i**2 - 2/3*i.
2*(i - 1)*(i + 1)**2*(i + 2)/9
Let j(t) be the second derivative of -t**4/4 - 9*t**3/2 - 86*t. Let j(o) = 0. Calculate o.
-9, 0
Let y be (6/8)/(171/152). Let v(h) be the second derivative of -5*h + 1/18*h**4 + 0 + 1/3*h**3 + y*h**2. Factor v(w).
2*(w + 1)*(w + 2)/3
Let n(o) be the third derivative of -o**7/105 + o**5/15 - o**3/3 - 255*o**2. Solve n(l) = 0.
-1, 1
Let i(q) = -2*q**2 - 4*q - 2. Let b(j) = -j**3 - 2*j**2 - j. Let c(l) = -b(l) + i(l). Factor c(m).
(m - 2)*(m + 1)**2
Let h(x) be the second derivative of x**7/14 - 4*x**6/5 + 63*x**5/20 - 11*x**4/2 + 4*x**3 + 4*x + 18. Suppose h(w) = 0. Calculate w.
0, 1, 2, 4
Factor -24*i**2 - 35/2*i - 3 + 9/2*i**3.
(i - 6)*(3*i + 1)**2/2
Let r(o) = 8*o**3 + 2*o**2 - 8*o - 14. Suppose 139*g - 135*g = 20. Let c(l) = 7*l**3 + 3*l**2 - 7*l - 13. Let w(i) = g*r(i) - 6*c(i). Factor w(t).
-2*(t - 1)*(t + 1)*(t + 4)
Let 15*c**2 + 21*c**2 + 3*c + 26*c + 10*c + 3 = 0. What is c?
-1, -1/12
Let p(y) = -7*y**3 - 9*y**2 + 15*y + 17. Let f(t) = 20*t**3 + 26*t**2 - 44*t - 50. Let j(g) = -5*f(g) - 14*p(g). Determine v so that j(v) = 0.
-3, -1, 2
Let l(y) be the second derivative of y**5/60 - 2*y**4/3 + 32*y**3/3 - 11*y**2 - 43*y + 1. Let x(m) be the first derivative of l(m). What is r in x(r) = 0?
8
Suppose 0 = 59*c - 60*c. Let w(h) be the first derivative of -2/5*h**5 + 3/8*h**4 + 1/6*h**3 + c*h**2 - 1 + 0*h. Factor w(p).
-p**2*(p - 1)*(4*p + 1)/2
Determine c, given that 760 - 1916 + 45*c + 23*c - c**2 = 0.
34
Let q(h) = -102*h + 213*h - 10 - 3*h**2 - 102*h. Suppose 2*w = 6*w - 4. Let x(y) = 1. Let n(z) = w*q(z) + 4*x(z). Suppose n(m) = 0. What is m?
1, 2
Determine z, given that 88/9*z**2 + 2/9*z**5 - 350/9*z + 196/9 - 28/9*z**4 + 92/9*z**3 = 0.
-2, 1, 7
Let h(l) be the second derivative of 5*l**7/42 + 10*l**6/3 + 133*l**5/4 + 845*l**4/6 + 880*l**3/3 + 320*l**2 - 10*l + 8. Suppose h(t) = 0. What is t?
-8, -2, -1
Let z = -5 - -7. Suppose 10 = 2*t - z. Factor -9 + t*m - 2*m**2 - 4*m**2 + 5*m**2.
-(m - 3)**2
Let z = 1428 - 1428. Determine n, given that z*n + 1/2 - 1/2*n**2 = 0.
-1, 1
Let x be ((-44)/88)/(6/(-28))*2/7. What is c in -2/3*c**4 + 2/3*c**5 + 0*c + 0 + x*c**2 - 2/3*c**3 = 0?
-1, 0, 1
Find l such that 20*l**3 - 2 + 8*l**2 + 28*l**3 - 45*l**3 + 3*l = 0.
-2, -1, 1/3
Let s(d) be the third derivative of 0*d**3 - 10*d**2 + 39/160*d**6 + 0*d + 0 + 7/20*d**5 + 1/8*d**4 - 43/280*d**7 - 1/16*d**8. Solve s(w) = 0.
-2, -2/7, -1/4, 0, 1
Let v = 23 - 13. Let j = 12 - v. Factor 2*m**j - 35*m - m**3 + 35*m.
-m**2*(m - 2)
Let j(c) = -55*c - 876. Let a be j(-16). Suppose -2/7*n**5 + 2/7*n**a + 0*n**3 + 0*n + 0 + 0*n**2 = 0. Calculate n.
0, 1
Let z(n) = -n**3 + 2*n**2 + 5*n - 1. Let u(d) = 9*d**3 - 40*d**2 - 67*d + 68. Let y(f) = u(f) + 6*z(f). Factor y(w).
(w - 1)*(w + 2)*(3*w - 31)
Let n(v) be the first derivative of -v**3/9 + 3*v**2/2 + 10*v/3 - 129. Factor n(w).
-(w - 10)*(w + 1)/3
Let v(r) be the first derivative of -r**6/72 - 3*r**5/8 + 25*r**4/12 - 35*r**3/3 + 31. Let b(y) be the third derivative of v(y). Factor b(g).
-5*(g - 1)*(g + 10)
Let o(a) be the third derivative of -a**7/1680 - a**6/160 + 11*a**5/480 + 5*a**4/16 - 25*a**3/12 - 361*a**2. What is w in o(w) = 0?
-5, 2
Suppose -416*s**5 - 90*s**2 + 139*s**5 + 136*s**5 - 39*s**3 + 216*s + 24*s**4 + 138*s**5 = 0. Calculate s.
-2, 0, 3, 4
Let z(s) be the third derivative of 4*s**7/1365 - 23*s**6/780 + 19*s**5/195 - s**4/12 - 2*s**3/13 - 2*s**2 + 32*s. What is j in z(j) = 0?
-1/4, 1, 2, 3
Let n(a) = 2*a**2 - 135*a - 329. Let w(o) = 34*o + 82. Let j(v) = 2*n(v) + 9*w(v). Solve j(l) = 0.
-5, -4
Let y(s) = 29*s**2 + 13*s - 16. Let b(i) = 3*i**2 + i. Let f(a) = -18*b(a) + 2*y(a). Suppose f(j) = 0. Calculate j.
-4, 2
Let 28/3*p**4 - 68/3*p**2 + 8*p + 0 - 64/3*p**3 = 0. What is p?
-1, 0, 2/7, 3
Let c(o) be the third derivative of -1/180*o**5 + 1/9*o**3 - 1/24*o**4 + 0 + 0*o - 1/630*o**7 - 8*o**2 + 1/120*o**6. Suppose c(n) = 0. What is n?
-1, 1, 2
Let h(o) = -162*o**4 - 72*o**3 - 8*o**2 - 3*o. Let l(x) = -x. Suppose -a + 0 + 9 = 0. Let v be (3/2)/(a/(-18)). Let b(i) = v*l(i) + h(i). Factor b(t).
-2*t**2*(9*t + 2)**2
Let x = 2374/1779 + -2/1779. Find f, given that 0 - x*f**2 - 1/3*f**4 - 4/3*f**3 + 0*f = 0.
-2, 0
Let j(x) be the first derivative of x**8/672 + x**7/420 - x**6/80 - x**5/24 - x**4/24 + 15*x**2/2 + 10. Let t(r) be the second derivative of j(r). Factor t(g).
g*(g - 2)*(g + 1)**3/2
Suppose 2*u - 283 = 3*j, -j - 473 = 4*j - 2*u. Let h = -94 - j. Let 7/2*l**4 + 27/2*l**2 + 23/2*l**3 + 13/2*l + h = 0. What is l?
-1, -2/7
Let o(c) be the first derivative of -7/3*c**3 + 3*c - 5 - 1/10*c**5 - 5/6*c**4 - 3*c**2. Let y(k) be the first derivative of o(k). Factor y(b).
-2*(b + 1)**2*(b + 3)
Let c = 73/444 + -3/37. Let j(b) be the third derivative of 0 + c*b**4 - 1/2*b**3 + 6*b**2 + 0*b + 1/60*b**5. Determine h, given that j(h) = 0.
-3, 1
Let z be (-616)/(-56) - (9 + -1). Suppose -4/9*o + 22/9*o**2 + 0 - 8/3*o**z - 2*o**4 = 0. Calculate o.
-2, 0, 1/3
Let n be ((-473)/33 - -14)*-1. Solve -2/3 + 2/3*w**2 - n*w + 1/3*w**3 = 0 for w.
-2, -1, 1
Let j(o) be the first derivative of 3*o**7/112 - 7*o**6/40 + 3*o**5/8 - o**4/4 - 13*o + 9. Let g(b) be the first derivative of j(b). Factor g(z).
3*z**2*(z - 2)**2*(3*z - 2)/8
Let b be (2 - 15/9)/((-28)/(-21)). Suppose -3*y = -4*y. Factor -b*u + 1/4*u**2 + y.
u*(u - 1)/4
Let s(l) be the first derivative of l**8/6720 - l**7/840 + l**6/480 + 2*l**3 + 31. Let j(v) be the third derivative of s(v). Factor j(m).
m**2*(m - 3)*(m - 1)/4
Let i = 24 + -118/5. Let o = -42/115 - -36/23. Solve -o*s - 4/5 - i*s**2 = 0.
-2, -1
Let i be (-6)/(-6)*(33 - 0). Determine o, given that 3 + 3*o**3 + 13*o**2 + 8*o**2 - 2 + 14 + i*o = 0.
-5, -1
Factor -3/2*l - 5/2*l**3 + 0 - 1/2*l**4 - 7/2*l**2.
-l*(l + 1)**2*(l + 3)/2
Let c(v) be the first derivative of 0*v + 0*v**4 + 0*v**6 + 0*v**2 - v**3 + 1/40*v**5 - 1/280*v**7 - 5. Let p(k) be the third derivative of c(k). Factor p(l).
-3*l*(l - 1)*(l + 1)
Let n(f) be the first derivative of -f**3/3 - 57*f**2/2 - 110*f + 114. Suppose n(o) = 0. Calculate o.
-55, -2
Suppose 6*c - 12*c = -24. Suppose 5*h**4 + 10*h**4 - 10*h**c + 5*h**2 + 5*h**2 - 15 + 20*h**3 - 20*h = 0. Calculate h.
-3, -1, 1
Suppose -18 + 2 = -2*z. What is o in o - 7*o**2 + z*o**2 - 3*o = 0?
0, 2
Factor 2*h**4 + 0 + 13/3*h**3 + 1/3*h + 8/3*h**2.
h*(h + 1)**2*(6*h + 1)/3
Let q(m) be the second derivative of -m**4/8 + 3*m**3 - 15*m**2 + 5*m - 1. Factor q(t).
-3*(t - 10)*(t - 2)/2
Let d be ((-80)/(-8))/(-10) + 5. Determine z so that 26/11*z**2 + 12/11*z**3 + 24/11*z + 8/11 + 2/11*z**d = 0.
-2, -1
Let y = -32510 - -32512. Factor -24*z - 3/4*z**y - 192.
-3*(z + 16)**2/4
Let x(t) be the third derivative of t**8/1008 - t**6/120 + t**5/90 - 90*t**2. Find w, given that x(w) = 0.
-2, 0, 1
Let x = -875/2 + 442. Let i(d) be the second derivative of -1/12*d**4 + 0 - x*d**2 + 6*d + d**3. What is a in i(a) = 0?
3
Let y(d) = -3*d**4 - 2*d**3 - 1. Let p(l) be the first derivative of 7*l**5/5 + 5*l**4/4 + l**3/3 + 2*l + 11. Let b(u) = -2*p(u) - 5*y(u). Solve b(q) = 0.
-1, 1
Suppose 15 = 4*t + t. Suppose 8*o - 15 = -v + t*o, v = -o + 7. Let -2/7*n**v - 1/7*n**2 + 3/7*n**4 + 0*n + 0*n**3 + 0 = 0. What is n?
-1/2, 0, 1
Let y = 7625/11 + -693. What is d in -y*d**4 + 8/11*d**3 + 4/11*d - 10/11*d**2 + 0 = 0?
0, 1, 2
Let d = 306 - 303. Let s(z) be the second derivative of 0*z**5 + 1/42*z**7 - 1/6*z**d - 4*z + 1/6*z**4 + 0*z**2 - 1/15*z**6 + 0. Factor s(f).
f*(f - 1)**3*(f + 1)
Let w(m) = 4*m + 42. Let g be w(-10). Factor 12 - 70*b**2 + 107*b**g - 36*b - 58*b**2.
-3*(b + 2)*(7*b - 2)
Let g(f) be the third derivative of -f**7/1260 - f**6/240 + f**5/360 + f**4/48 - 56*f**2. Factor g(c).
-c*(c - 1)*(c + 1)*(c + 3)/6
Suppose 4*r - 2*c + 13 = 5*r, 3*r = -4*c + 29. Factor -5*b + 24*b**2 + 3*b**4 + 3*b + 5*b**3 - 10*b - 20*b**r.
3*b*(b - 2)**2*(b - 1)
Let n(i) = -9*i + 59. Let p be n(7). Let b(o) = o**2 - 57*o + 22. Let h(f) = 114*f - 45. Let l(w) = p*h(w) - 9*b(w). Let l(y) = 0. Calculate y.
1/3, 6
Let s(t) be the second derivative of 0*t**3 - 1/135*t**6 + 0*t**2 + 1/90*t**5 - 11*t + 0 + 1/27*t**4. Factor s(r).
-2*r**2*(r - 2)*(r + 1)/9
Let i = 6104/831 - 188/277. Solve 74/3*p + 2/3*p**5 + 20/3 + 104/3*p**2 + 68/3*p**3 + i